[User]
Which numbered sense of "investigation" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric <t>investigation</t>, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate.

Senses:
1. definition=an inquiry into unfamiliar or questionable activities | examples=there was a congressional probe into the scandal
2. definition=the work of inquiring into something thoroughly and systematically

reasoning_content:
1.  **Analyze the user's request:** The user wants me to identify the correct sense of the word "investigation" from a provided list (numbered 1 and 2) as it is used in a specific sentence. The target word is marked with `<t>investigation</t>`. I need to return *only* the number.

2.  **Analyze the sentence:**
    *   Sentence: "A cross-state econometric <t>investigation</t>, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate."
    *   Context: This is an academic or formal context. It talks about an "econometric investigation."
    *   Meaning: It refers to a systematic study or analysis using econometrics (statistical methods applied to economic data) to determine a relationship between variables (votes, tax rates).
    *   Key characteristics: It is thorough, systematic, and analytical. It isn't necessarily looking into a "scandal" or "unfamiliar/questionable activities" in a criminal sense. It's a research study.

3.  **Analyze the senses:**
    *   Sense 1: definition=an inquiry into unfamiliar or questionable activities | examples=there was a congressional probe into the scandal.
        *   Keywords: unfamiliar, questionable activities, probe, scandal.
        *   Fit: This implies wrongdoing or a mystery to be solved (like a police or congressional investigation). The sentence discusses voting patterns and tax rates, not a scandal or questionable activity.
    *   Sense 2: definition=the work of inquiring into something thoroughly and systematically.
        *   Keywords: work, inquiring, thoroughly, systematically.
        *   Fit: The sentence describes an "econometric investigation." Econometrics is a systematic, quantitative approach. The study analyzes data "holding other factors constant," which implies a systematic methodology. This fits the academic research context perfectly.

4.  **Compare and Decide:**
    *   The sentence describes a scientific/academic study.
    *   Sense 1 is about investigating misdeeds/scandals.
    *   Sense 2 is about systematic inquiry/research.
    *   An "econometric investigation" is a form of systematic inquiry.
    *   Therefore, Sense 2 is the correct match.

5.  **Formulate the Output:**
    *   The user requested "Return only the number of the correct sense."
    *   The number is 2.


attempt_kind: initial

status: success

[User]
Which numbered sense of "hold" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, <t>holding</t> other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate.

Senses:
1. definition=keep in a certain state, position, or activity; e.g., | examples=keep clean
2. definition=have or hold in one's hands or grip | examples=Hold this bowl for a moment, please
3. definition=organize or be responsible for | examples=hold a reception
4. definition=have or possess, either in a concrete or an abstract sense | examples=She has $1,000 in the bank
5. definition=keep in mind or convey as a conviction or view | examples=take for granted
6. definition=maintain (a theory, thoughts, or feelings) | examples=bear a grudge
7. definition=to close within bounds, limit or hold back from movement | examples=This holds the local until the express passengers change trains
8. definition=secure and keep for possible future use or application | examples=The landlord retained the security deposit
9. definition=have rightfully; of rights, titles, and offices | examples=She bears the title of Duchess
10. definition=be the physical support of; carry the weight of | examples=The beam holds up the roof
11. definition=contain or hold; have within | examples=The jar carries wine
12. definition=have room for; hold without crowding | examples=This hotel can accommodate 250 guests
13. definition=remain in a certain state, position, or condition | examples=The weather held
14. definition=support or hold in a certain manner | examples=She holds her head high
15. definition=be valid, applicable, or true | examples=This theory still holds
16. definition=assert or affirm | examples=Rousseau's philosophy holds that people are inherently good
17. definition=have as a major characteristic | examples=The novel holds many surprises
18. definition=be capable of holding or containing | examples=This box won't take all the items
19. definition=arrange for and reserve (something for someone else) in advance | examples=reserve me a seat on a flight
20. definition=protect against a challenge or attack | examples=Hold that position behind the trees!
21. definition=bind by an obligation; cause to be indebted | examples=He's held by a contract
22. definition=hold the attention of | examples=The soprano held the audience
23. definition=remain committed to | examples=I hold to these ideas
24. definition=resist or confront with resistance | examples=The politician defied public opinion
25. definition=be pertinent or relevant or applicable | examples=The same laws apply to you!
26. definition=stop dealing with | examples=hold all calls to the President's office while he is in a meeting
27. definition=lessen the intensity of; temper; hold in restraint; hold or keep within limits | examples=moderate your alcohol intake
28. definition=keep from departing | examples=Hold the taxi
29. definition=take and maintain control over, often by violent means | examples=The dissatisfied students held the President's office for almost a week
30. definition=cause to stop | examples=Halt the engines
31. definition=cover as for protection against noise or smell | examples=She held her ears when the jackhammer started to operate
32. definition=drink alcohol without showing ill effects | examples=He can hold his liquor
33. definition=aim, point, or direct | examples=Hold the fire extinguisher directly on the flames
34. definition=declare to be | examples=She was declared incompetent
35. definition=be in accord; be in agreement | examples=We agreed on the terms of the settlement
36. definition=keep from exhaling or expelling | examples=hold your breath

finish_reason: stop

role: assistant

reasoning_content:
1.  **Analyze the input sentence:**
    *   Sentence: "A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate."
    *   Key phrase: "holding other factors constant"
    *   Context: This is an academic/technical sentence, likely from economics or statistics. The phrase "holding X constant" is a standard way of saying "controlling for variables" or "assuming X does not change while looking at the relationship between Y and Z".

2.  **Analyze the meaning of "holding" in this context:**
    *   It means keeping the other factors fixed/unchanged/steady while examining the variable of interest.
    *   It implies controlling or fixing a variable in a specific state (constant).

3.  **Evaluate the provided senses:**

    *   1. definition=keep in a certain state, position, or activity; e.g., | examples=keep clean.
        *   Does this fit? "keep other factors constant". Yes. Keeping them in a specific state (constant). This looks promising.

    *   2. definition=have or hold in one's hands or grip.
        *   Physical holding. No.

    *   3. definition=organize or be responsible for.
        *   No.

    *   4. definition=have or possess, either in a concrete or an abstract sense.
        *   No, not about possession.

    *   5. definition=keep in mind or convey as a conviction or view.
        *   No, not about opinions here.

    *   6. definition=maintain (a theory, thoughts, or feelings).
        *   No.

    *   7. definition=to close within bounds, limit or hold back from movement.
        *   Similar, but usually refers to physical movement or restraining something. "Holding other factors constant" is about setting a condition for an experiment or analysis.

    *   8. definition=secure and keep for possible future use or application.
        *   No.

    *   9. definition=have rightfully; of rights, titles, and offices.
        *   No.

    *   10. definition=be the physical support of; carry the weight of.
        *   No.

    *   11. definition=contain or hold; have within.
        *   No.

    *   12. definition=have room for; hold without crowding.
        *   No.

    *   13. definition=remain in a certain state, position, or condition.
        *   This is intransitive ("The weather held"). The sentence uses "holding" transitively ("holding factors"). So this is grammatically distinct.

    *   14. definition=support or hold in a certain manner.
        *   Physical posture. No.

    *   15. definition=be valid, applicable, or true.
        *   No.

    *   16. definition=assert or affirm.
        *   No.

    *   17. definition=have as a major characteristic.
        *   No.

    *   18. definition=be capable of holding or containing.
        *   No.

    *   19. definition=arrange for and reserve.
        *   No.

    *   20. definition=protect against a challenge or attack.
        *   No.

    *   21. definition=bind by an obligation; cause to be indebted.
        *   No.

    *   22. definition=hold the attention of.
        *   No.

    *   23. definition=remain committed to.
        *   No.

    *   24. definition=resist or confront with resistance.
        *   No.

    *   25. definition=be pertinent or relevant or applicable.
        *   No.

    *   26. definition=stop dealing with.
        *   No.

    *   27. definition=lessen the intensity of; temper; hold in restraint; hold or keep within limits.
        *   "Hold in restraint" or "keep within limits". This is close. However, sense 1 ("keep in a certain state") is a very direct fit for "holding [something] constant". Sense 27 implies restraining something active (like anger, or a horse). Sense 1 is more neutral regarding keeping a state/position/condition. "Keeping factors constant" is the textbook definition of sense 1 in WordNet.

    *   28. definition=keep from departing.
        *   No.

    *   29. definition=take and maintain control over, often by violent means.
        *   No.

    *   30. definition=cause to stop.
        *   No.

    *   31. definition=cover as for protection against noise or smell.
        *   No.

    *   32. definition=drink alcohol without showing ill effects.
        *   No.

    *   33. definition=aim, point, or direct.
        *   No.

    *   34. definition=declare to be.
        *   No.

    *   35. definition=be in accord; be in agreement.
        *   No.

    *   36. definition=keep from exhaling or expelling.
        *   No.

4.  **Compare Sense 1 and Sense 27:**
    *   Sense 1: "keep in a certain state, position, or activity; e.g., keep clean". Examples: "hold in place", "hold all traffic", "keep clean".
    *   Sense 27: "lessen the intensity of; temper; hold in restraint; hold or keep within limits". Examples: "moderate your alcohol intake", "hold your temper", "hold your tongue".
    *   The phrase "holding other factors constant" is about maintaining a specific state (the state of being constant) for those factors. It is not about "tempering" or "restraining" in the sense of reducing intensity (though it keeps values fixed). The "keep in a certain state" definition covers "keep constant" perfectly. In WordNet (which this list appears to be based on), the sense regarding "hold constant" usually falls under "keep in a certain state, position, or activity".

    Let's look closer at Sense 1. The definition includes "keep in a certain state". "Constant" is the state. The action is keeping them there. This is the standard translation for "ceteris paribus" (all other things being equal/held constant).

    Let's check if there's a specific sense for "hold constant".
    In WordNet 3.1:
    *   Sense 1: keep, maintain, hold -- (keep in a certain state, position, or activity, e.g., "keep clean"; "hold in place"; "She always held herself as a lady"; "The story held the audience's attention"; "keep your temper"; "keep your cool").
    *   Sense 27: restrain, keep, hold back, hold -- (keep in check; restrain; "hold back the tears"; "hold your temper"; "check your impulses").

    "Holding other factors constant" is an application of keeping something in a certain state (the state of being constant/unchanged). It fits Sense 1 best.

    Let's re-read Sense 1 definition again: "keep in a certain state, position, or activity".
    "Holding other factors constant" = Keeping other factors in a certain state (constant).

    Let's check if Sense 7 fits better: "to close within bounds, limit or hold back from movement".
    Definition: "This holds the local until the express passengers change trains".
    "holding other factors constant" isn't about preventing movement or closing within bounds in a physical sense. It's about maintaining a condition for analysis.

    Sense 1 is the correct sense.

5.  **Final Verification:**
    The sentence describes an econometric investigation.
    "Holding other factors constant" is the key phrase.
    This means: assuming other factors do not change / keeping other factors steady.
    Sense 1: "keep in a certain state".
    Target: "keep [factors] in a certain state [constant]".
    Match: Perfect.

    Number: 1.

format: unknown

native_finish_reason: stop

provider: Venice

currency: USD


[User]
Which numbered sense of "other" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, holding <t>other</t> factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate.

Senses:
1. definition=not the same one or ones already mentioned or implied; - the White Queen | examples=today isn't any other day
2. definition=recently past | examples=the other evening
3. definition=belonging to the distant past | examples=the early inhabitants of Europe
4. 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

reasoning_content:
1.  **Analyze the Request:** The user wants to identify the correct sense of the word "other" (marked with `<t>other</t>`) in a specific sentence, based on a provided list of four senses. The output should be *only* the number of the correct sense.

2.  **Analyze the Sentence:**
    *   Sentence: "A cross-state econometric investigation, furthermore, reveals that, holding `<t>other</t>` factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate."
    *   Context phrase: "holding other factors constant".
    *   Meaning: In an econometric or scientific context, "holding other factors constant" means keeping all *additional* or *different* factors (aside from the one being studied) the same. It implies factors distinct from the specific factor mentioned earlier (the state tax rate). It refers to factors that are not the primary subject of the analysis but are relevant.

3.  **Analyze the Senses:**

    *   **Sense 1:** definition="not the same one or ones already mentioned or implied; - the White Queen | examples=today isn't any other day"
        *   Does this fit? Yes. The sentence discusses the "state tax rate" as the variable of interest. The "other factors" are factors that are *not* the state tax rate. They are distinct or different from the one already mentioned or being focused on. This is the standard usage in "other things being equal" (ceteris paribus).

    *   **Sense 2:** definition="recently past | examples=the other evening"
        *   Does this fit? No. "Other factors" does not refer to time.

    *   **Sense 3:** definition="belonging to the distant past | examples=the early inhabitants of Europe"
        *   Does this fit? No. No temporal reference to the distant past.

    *   **Sense 4:** 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"
        *   Does this fit? No. The factors aren't described as strange, unusual, or supernatural. They are just distinct variables in an equation.

4.  **Confirm Sense 1:**
    *   Definition: "not the same one or ones already mentioned or implied".
    *   Context: "holding [not the ones mentioned/implied] factors constant".
    *   The logic holds up perfectly. The "other factors" are the ones distinct from the primary variable under investigation.

5.  **Formulate Output:** The user requested *only* the number.
    *   Correct Sense: 1.

6.  **Final Check:** Does "holding other factors constant" mean "holding factors that are not the same as the one mentioned constant"? Yes. Sense 1 is the clear match.

    *   Sense 1 matches the usage of "other" as distinct/additional/different items in a set relative to a specific item.
    *   Senses 2 and 3 are temporal.
    *   Sense 4 is qualitative/strange.

    Result: 1.

provider: Phala


[User]
Which numbered sense of "factor" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, holding other <t>factors</t> constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate.

Senses:
1. definition=anything that contributes causally to a result | examples=a number of factors determined the outcome
2. definition=an abstract part of something | examples=jealousy was a component of his character
3. definition=one of two or more integers that can be exactly divided into another integer | examples=what are the 4 factors of 6?
4. definition=a businessman who buys or sells for another in exchange for a commission
5. definition=any of the numbers (or symbols) that form a product when multiplied together
6. definition=an independent variable in statistics
7. definition=(genetics) a segment of DNA that is involved in producing a polypeptide chain; it can include regions preceding and following the coding DNA as well as introns between the exons; it is considered a unit of heredity | examples=genes were formerly called factors

reasoning_content:
1.  **Analyze the Request:** The user wants to identify the correct sense of the word "factor" as used in a specific sentence, given a list of 7 numbered definitions. I need to return only the number.

2.  **Analyze the Sentence:**
    *   Sentence: "A cross-state econometric investigation, furthermore, reveals that, holding other <t>factors</t> constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate."
    *   Context: The sentence is about an "econometric investigation" (a statistical study in economics).
    *   Key Phrase: "holding other factors constant". This is a classic phrase used in statistical analysis (ceteris paribus). It implies variables that might influence the outcome but are being controlled for.
    *   Meaning in context: Here, "factors" refers to variables or elements that influence the vote share difference. They are things that contribute to the result in a causal or correlational model.

3.  **Analyze the Senses:**
    *   Sense 1: "anything that contributes causally to a result". Examples: "a number of factors determined the outcome".
        *   Fit: This is a general definition. In the sentence, these "factors" contribute to the political/economic result. It fits broadly.
    *   Sense 2: "an abstract part of something".
        *   Fit: Not really. These are specific variables in a model, not abstract parts of a whole.
    *   Sense 3: "one of two or more integers that can be exactly divided into another integer".
        *   Fit: No, this is a mathematical definition of a divisor, not the context here.
    *   Sense 4: "a businessman who buys or sells for another in exchange for a commission".
        *   Fit: No, this is a commercial agent.
    *   Sense 5: "any of the numbers (or symbols) that form a product when multiplied together".
        *   Fit: No, this is multiplication.
    *   Sense 6: "an independent variable in statistics".
        *   Fit: The sentence mentions an "econometric investigation" and the phrase "holding other factors constant" is standard statistical terminology for independent variables (or control variables) in a regression model. The sentence discusses the relationship between variables (tax rate, vote shares).
    *   Sense 7: "(genetics) a segment of DNA...".
        *   Fit: No, this is biology.

4.  **Compare Sense 1 and Sense 6:**
    *   Sense 1 is the general causal definition. The factors *do* contribute causally to the result.
    *   Sense 6 is the specific statistical definition ("an independent variable in statistics").
    *   The sentence explicitly mentions an "econometric investigation" and uses the statistical phrase "holding... constant". In WordNet (from which these sense definitions are likely derived), sense 6 is often the specific definition used for variables in statistical contexts. However, looking closely at the provided text:
        *   Sense 1 definition: "anything that contributes causally to a result".
        *   Sense 6 definition: "an independent variable in statistics".
    *   In the context of "holding other factors constant", the word "factor" is being used to mean a variable in the statistical model. The sentence is describing a regression analysis context.
    *   Let's check WordNet hierarchy (mental check or search knowledge).
        *   WordNet 3.0 or 3.1:
            *   Factor (noun):
            *   1: "anything that contributes causally to a result"
            *   2: "an abstract part of something"
            *   3: "one of two or more integers..."
            *   4: "a businessman..."
            *   5: "any of the numbers..."
            *   6: "an independent variable in statistics" (often mapped to sense 6 or similar in various versions).
    *   Does "holding other factors constant" imply "holding other independent variables constant"? Yes.
    *   Does it imply "holding other things that contribute causally to a result constant"? Yes.
    *   Usually, when a sentence is explicitly about statistical analysis ("econometric investigation"), the specific technical sense (Sense 6) is preferred over the general sense (Sense 1). The phrase "holding other factors constant" is the smoking gun for the statistical sense. It refers to control variables/independent variables in the regression equation.

    *   Let's re-evaluate Sense 1 vs Sense 6 based on the provided list.
    *   Sentence: "holding other <t>factors</t> constant" in an "econometric investigation".
    *   This is clearly a statistical context. Therefore, Sense 6 ("an independent variable in statistics") is the precise technical definition.
    *   Sense 1 ("anything that contributes causally") is the hypernym (parent term). While true that they contribute causally, the context specifically selects the statistical usage.

    *   Let's double-check if Sense 1 is sometimes used for this.
        *   Example for Sense 1: "a number of factors determined the outcome".
        *   Example for Sense 6: usually examples like "factor analysis" or similar.
        *   The phrase "holding other factors constant" is standard statistical jargon. The "factors" here are the variables $X_1, X_2... X_n$ in the equation.
    *   Therefore, 6 is the correct answer.

5.  **Final Decision:** Sense 6 matches the specific domain (statistics/econometrics) and the specific usage (variables being held constant in a model). Sense 1 is too broad and misses the statistical nuance explicitly invoked by "econometric".

6.  **Output formatting:** Return only the number.

provider: StreamLake


[User]
Which numbered sense of "constant" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, holding other factors <t>constant</t>, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate.

Senses:
1. definition=unvarying in nature | examples=maintained a constant temperature
2. definition=steadfast in purpose or devotion or affection | examples=a man constant in adherence to his ideals
3. definition=uninterrupted in time and indefinitely long continuing | examples=the ceaseless thunder of surf

reasoning_content:
1.  **Analyze the Request:**
    *   Target word: "constant" (marked with `<t></t>`).
    *   Sentence context: "A cross-state econometric investigation, furthermore, reveals that, holding other factors <t>constant</t>, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate."
    *   Task: Identify the correct sense number from the provided list.
    *   Constraint: Return *only* the number.

2.  **Analyze the Sentence Context:**
    *   The phrase is "holding other factors constant".
    *   This is a standard phrase in statistics, science, and economics.
    *   It means keeping specific variables fixed or unchanged while observing the relationship between other variables.
    *   It implies "staying the same" or "not varying".

3.  **Analyze the Senses:**
    *   Sense 1: "unvarying in nature". Examples: "maintained a constant temperature". This aligns with the idea of keeping something fixed, unchanging, or steady. In the sentence, "holding other factors constant" means keeping the factors unvarying (fixed).
    *   Sense 2: "steadfast in purpose or devotion or affection". Examples: "a man constant in adherence to his ideals". This refers to loyalty or emotional steadfastness. This does not fit the context of statistical factors.
    *   Sense 3: "uninterrupted in time and indefinitely long continuing". Examples: "the ceaseless thunder of surf". This refers to duration and continuity. While "constant" can mean continuous, the phrase "holding factors constant" refers to the *value* not changing, not the duration of time.

4.  **Compare Context to Senses:**
    *   Context: Keeping factors unchanging/fixed.
    *   Sense 1: Unvarying. (Match)
    *   Sense 2: Loyal. (No match)
    *   Sense 3: Continuous. (No match)

5.  **Conclusion:**
    *   The phrase "holding other factors constant" uses the definition of "remaining the same" or "unvarying."
    *   Sense 1 is the correct definition.

6.  **Final Output Formulation:**
    *   The user requested *only* the number.
    *   The number is 1.

provider: DeepInfra


[User]
Which numbered sense of "difference" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the <t>difference</t> between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate.

Senses:
1. definition=the quality of being unlike or dissimilar | examples=there are many differences between jazz and rock
2. definition=a variation that deviates from the standard or norm | examples=the deviation from the mean
3. definition=a disagreement or argument about something important | examples=he had a dispute with his wife
4. definition=a significant change | examples=the difference in her is amazing
5. definition=the number that remains after subtraction; the number that when added to the subtrahend gives the minuend

reasoning_content:
1.  **Analyze the Request:** The user wants to identify the correct sense of the word "difference" (marked with `<t></t>`) in a specific sentence, based on a provided list of 5 senses. The output must be *only* the number of the correct sense.

2.  **Analyze the Sentence:**
    *   Sentence: "A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the <t>difference</t> between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate."
    *   Context: This is an academic/statistical/economic context.
    *   Key phrase: "the <t>difference</t> between [quantity A] and [quantity B]".
    *   Quantity A: "a state's major-party vote going to the Republican gubernatorial candidate" (a percentage or number).
    *   Quantity B: "the Republican share of the lower state house" (a percentage or number).
    *   Operation: The text discusses the relationship between this calculated value and the state tax rate. This implies a mathematical operation.

3.  **Analyze the Senses:**
    *   **Sense 1:** "the quality of being unlike or dissimilar". Example: differences between jazz and rock.
        *   *Fit:* While A and B are dissimilar, the sentence is calculating a specific value ("is a positive function of..."). "Difference" here isn't just the abstract quality of being unlike; it's a specific metric derived from two numbers.
    *   **Sense 2:** "a variation that deviates from the standard or norm". Example: deviation from the mean.
        *   *Fit:* This refers to a deviation from a standard. The sentence compares two specific political metrics, not necessarily a deviation from a norm (though one could argue statistical deviation, the structure "difference between X and Y" usually implies subtraction or gap).
    *   **Sense 3:** "a disagreement or argument about something important". Example: dispute with his wife.
        *   *Fit:* Clearly incorrect. No conflict is involved.
    *   **Sense 4:** "a significant change". Example: the difference in her is amazing.
        *   *Fit:* Incorrect. This is about transformation.
    *   **Sense 5:** "the number that remains after subtraction; the number that when added to the subtrahend gives the minuend".
        *   *Fit:* The sentence calculates the gap between vote share (A) and legislative seat share (B). Mathematically, finding the "difference between" two numbers corresponds to subtraction ($|A - B|$ or $A - B$). The result is a number/quantity. This fits the mathematical definition perfectly.

4.  **Compare and Select:**
    *   The sentence structure "difference between X and Y" where X and Y are numerical values (vote shares) points directly to the mathematical definition.
    *   Sense 1 is a general qualitative difference.
    *   Sense 5 is a specific quantitative difference (arithmetic).
    *   Since the result is being treated as a variable in a function ("positive function of the state tax rate"), it is a number. Therefore, Sense 5 is the most precise and correct definition for this context.

5.  **Final Output Formulation:** The user requested *only* the number.
    *   Selected Sense: 5.


[User]
Which numbered sense of "state" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a <t>state</t>'s major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate.

Senses:
1. definition=the territory occupied by one of the constituent administrative districts of a nation | examples=his state is in the deep south
2. definition=the way something is with respect to its main attributes | examples=the current state of knowledge
3. definition=the group of people comprising the government of a sovereign state | examples=the state has lowered its income tax
4. definition=a politically organized body of people under a single government | examples=the state has elected a new president
5. definition=(chemistry) the three traditional states of matter are solids (fixed shape and volume) and liquids (fixed volume and shaped by the container) and gases (filling the container) | examples=the solid state of water is called ice
6. definition=a state of depression or agitation | examples=he was in such a state you just couldn't reason with him
7. definition=the territory occupied by a nation | examples=he returned to the land of his birth
8. definition=the federal department in the United States that sets and maintains foreign policies | examples=the Department of State was created in 1789

reasoning_content:
1.  **Analyze the Request:**
    *   Target word: "state" (marked with `<t></t>`).
    *   Sentence: "A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a <t>state</t>'s major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate."
    *   Task: Identify the correct numbered sense from the provided list.
    *   Output constraint: Return *only* the number.

2.  **Analyze the Context of the Sentence:**
    *   The sentence talks about a "cross-state econometric investigation". This implies a comparison across different units called "states".
    *   It mentions "a <t>state</t>'s major-party vote".
    *   It mentions "Republican gubernatorial candidate" (governor is a state-level official in the US).
    *   It mentions "lower state house" (state legislature).
    *   It mentions "state tax rate".
    *   The context is clearly political science/economics within the United States (implied by "Republican", "gubernatorial", "state house").
    *   The word "state" refers to a constituent political unit within a larger nation (the United States), which has its own government, tax laws, and voting districts.

3.  **Evaluate the Senses:**

    *   **Sense 1:** "the territory occupied by one of the constituent administrative districts of a nation".
        *   Example: "his state is in the deep south".
        *   Fit: This fits perfectly. The sentence discusses US states (constituent districts of the US) regarding their votes, tax rates, and legislative bodies.

    *   **Sense 2:** "the way something is with respect to its main attributes".
        *   Example: "the current state of knowledge".
        *   Fit: This is abstract. The sentence refers to a specific entity that can vote and tax. Incorrect.

    *   **Sense 3:** "the group of people comprising the government of a sovereign state".
        *   Example: "the state has lowered its income tax".
        *   Fit: While the sentence mentions the "state tax rate", sense 3 usually refers to the "State" as an abstract entity or the government apparatus of a *sovereign* nation. However, the specific usage here "a <t>state</t>'s major-party vote" implies a geographic/political unit among others (cross-state investigation), specifically a sub-national unit. Sense 1 captures the "constituent district" aspect better than Sense 3 (which focuses on "government of a sovereign state"). The US states are not sovereign states in the international law sense (though they have sovereignty in internal matters), but Sense 1 is explicitly defined as "constituent administrative districts of a nation". Let's look at Sense 4 as well.

    *   **Sense 4:** "a politically organized body of people under a single government".
        *   Example: "the state has elected a new president".
        *   Fit: This usually refers to a country/sovereign state. US states don't have presidents; they have governors. The example "elected a new president" suggests this sense applies to nations. The sentence refers to US states.

    *   **Sense 5:** "(chemistry) the three traditional states of matter...".
        *   Fit: Incorrect context.

    *   **Sense 6:** "a state of depression or agitation".
        *   Fit: Incorrect context.

    *   **Sense 7:** "the territory occupied by a nation".
        *   Example: "he returned to the land of his birth".
        *   Fit: This refers to a whole nation/country. The sentence is about a constituent part of a nation (implied by "cross-state" and "gubernatorial").

    *   **Sense 8:** "the federal department in the United States that sets and maintains foreign policies".
        *   Fit: Incorrect context.

4.  **Refine the Choice (Sense 1 vs. Sense 3 vs. Sense 4):**
    *   The sentence refers to "a <t>state</t>" (singular, preceded by "a").
    *   It mentions "Republican gubernatorial candidate". A governor is the head of a *sub-national* state in the US.
    *   It mentions "lower state house". This is a state legislature.
    *   Sense 1 definition: "the territory occupied by one of the constituent administrative districts of a nation". This is the precise definition of a US state (like California or Texas).
    *   Sense 3 definition: "the group of people comprising the government of a sovereign state". US states are not sovereign states (they are federated states). Also, the sentence refers to the state as the entity voting, distinct from just the government officials. "A state's major-party vote" refers to the electorate or the territory's aggregate behavior, fitting Sense 1's "territory/district" aspect well.
    *   Sense 4 definition: "a politically organized body of people under a single government". This usually implies a country. The example "elected a new president" confirms it refers to a sovereign nation.

    Therefore, Sense 1 is the most accurate definition for "state" in the context of US politics (e.g., "cross-state", "gubernatorial").

5.  **Final Check:**
    *   Sentence context: US state politics.
    *   Sense 1: Constituent administrative district of a nation.
    *   Match: Yes.

6.  **Output Generation:** The user requested *only* the number.
    *   The number is 1.

provider: Chutes


[User]
Which numbered sense of "major" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's <t>major</t> - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate.

Senses:
1. definition=of greater importance or stature or rank | examples=a major artist
2. definition=greater in scope or effect | examples=a major contribution
3. definition=greater in number or size or amount | examples=a major portion (a majority) of the population
4. definition=of the field of academic study in which one concentrates or specializes | examples=his major field was mathematics
5. definition=of a scale or mode | examples=major scales
6. definition=of greater seriousness or danger | examples=a major earthquake
7. definition=of full legal age
8. definition=of the elder of two boys with the same family name | examples=Jones major

reasoning_content:
1.  **Analyze the Request:** The user wants to identify the correct sense of the word "major" as used in a specific sentence. I need to select the number corresponding to the correct definition from the provided list. The output must be *only* the number.

2.  **Analyze the Sentence:**
    *   Sentence: "A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's <t>major</t> - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate."
    *   Context: The phrase is "major-party vote".
    *   Meaning in context: In US politics (and general political science), "major party" refers to the dominant parties (typically Democrats and Republicans) as opposed to "minor parties" or "third parties".
    *   Synonyms: Dominant, principal, leading, significant.

3.  **Analyze the Senses:**
    *   1. definition=of greater importance or stature or rank | examples=a major artist. (This fits "major party" – parties of greater importance/rank compared to minor parties).
    *   2. definition=greater in scope or effect | examples=a major contribution. (Not really about scope/effect here).
    *   3. definition=greater in number or size or amount | examples=a major portion (a majority) of the population. (While major parties have more voters, the term "major party" specifically denotes rank/status within the political system, though "size" is related. However, sense 1 captures the "stature/rank" aspect better for an entity like a party).
    *   4. definition=of the field of academic study... (No).
    *   5. definition=of a scale or mode... (No).
    *   6. definition=of greater seriousness or danger... (No).
    *   7. definition=of full legal age... (No).
    *   8. definition=of the elder of two boys... (No).

4.  **Compare Sense 1 and Sense 3:**
    *   Sense 1: "of greater importance or stature or rank".
    *   Sense 3: "greater in number or size or amount".
    *   In political science, a "major party" is defined by its influence, size of membership, and success in elections. It holds a rank above "minor parties".
    *   Is it referring to the *size* of the vote? No, the sentence says "major-party vote". The "major" modifies "party". It distinguishes the established, high-ranking parties (Republicans/Democrats) from others.
    *   Sense 1 (importance/stature/rank) is the standard definition for "major" in the phrase "major party" (e.g., a major player, a major artist, a major party).
    *   Sense 3 is usually for quantities (major portion, major share). While a major party has a major share of votes, the adjective "major" describes the party itself as being of higher rank/importance.

5.  **Determine the Best Fit:** Sense 1 fits "major party" perfectly (parties of higher rank/importance).

6.  **Final Verification:**
    *   Sentence phrase: "major-party vote".
    *   Target word modifies "party".
    *   A "major party" is a party of greater importance, stature, or rank (e.g., Republicans and Democrats vs. Libertarians or Greens).
    *   Sense 1: "of greater importance or stature or rank".
    *   Match confirmed.

7.  **Format Output:** The user requested "only the number".

    Result: 1


[User]
Which numbered sense of "party" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - <t>party</t> vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate.

Senses:
1. definition=an organization to gain political power | examples=in 1992 Perot tried to organize a third party at the national level
2. definition=a group of people gathered together for pleasure | examples=she joined the party after dinner
3. definition=a band of people associated temporarily in some activity | examples=they organized a party to search for food
4. definition=an occasion on which people can assemble for social interaction and entertainment | examples=he planned a party to celebrate Bastille Day
5. definition=a person involved in legal proceedings | examples=the party of the first part

reasoning_content:
1.  **Analyze the User's Request:**
    *   Target word: "party" (marked with `<t></t>`).
    *   Context Sentence: "A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - <t>party</t> vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate."
 (referring to the Republican party).
    *   Goal: Identify the correct numbered sense from the provided list.
    *   Constraint: Return *only* the number.

2.  **Analyze the Context Sentence:**
    *   Key phrase: "...state's major - <t>party</t> vote going to the Republican gubernatorial candidate..."
    *   The sentence discusses politics, voting, gubernatorial candidates, and state houses.
    *   "Major-party vote" refers to the votes cast for the major political organizations (Democrats and Republicans).
    *   Specifically, the sentence mentions the "Republican gubernatorial candidate".
    *   Therefore, "party" here refers to a political organization.

3.  **Analyze the Provided Senses:**
    *   Sense 1: definition=an organization to gain political power | examples=in 1992 Perot tried to organize a third party at the national level.
        *   Does this fit? Yes. It refers to a political organization. The context is explicitly about political voting (Republican candidate).
    *   Sense 2: definition=a group of people gathered together for pleasure | examples=she joined the party after dinner.
        *   Does this fit? No. This is a social gathering, not a political entity.
    *   Sense 3: definition=a band of people associated temporarily in some activity | examples=they organized a party to search for food.
        *   Does this fit? No. This usually refers to an expedition or a specific group formed for a task (like a search party), not a voting bloc or political entity.
    *   Sense 4: definition=an occasion on which people can assemble for social interaction and entertainment | examples=he planned a party to celebrate Bastille Day.
        *   Does this fit? No. This refers to an event (a social party).
    *   Sense 5: definition=a person involved in legal proceedings | examples=the party of the first part.
        *   Does this fit? No. This is a legal term for a person or entity in a contract or lawsuit.

4.  **Match Context to Sense:**
    *   The sentence talks about "major-party vote" and the "Republican" candidate.
    *   This aligns perfectly with Sense 1: "an organization to gain political power".

5.  **Final Output Formulation:**
    *   The correct number is 1.
    *   The user requested *only* the number.

6.  **Final Check:**
    *   Sentence: "...major - party vote..."
    *   Sense 1: Political organization.
    *   Match? Yes.
    *   Output: 1.


[User]
Which numbered sense of "vote" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party <t>vote</t> going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate.

Senses:
1. definition=a choice that is made by counting the number of people in favor of each alternative | examples=there were only 17 votes in favor of the motion
2. definition=the opinion of a group as determined by voting | examples=they put the question to a vote
3. definition=a legal right guaranteed by the 15th amendment to the US Constitution; guaranteed to women by the 19th amendment | examples=American women got the vote in 1920
4. definition=a body of voters who have the same interests | examples=he failed to get the Black vote
5. definition=the total number of voters who participated | examples=they are expecting a large vote

reasoning_content:
1.  **Analyze the Request:**
    *   Target word: "vote"
    *   Sentence: "A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party <t>vote</t> going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate."
 (the share of votes cast).
    *   Example: "A state's major-party vote going to the Republican..." implies a percentage or a count of ballots cast for a specific party.
    *   Let's look at the senses:
        1.  **Definition:** "a choice that is made by counting the number of people in favor of each alternative". Example: "there were only 17 votes in favor of the motion". This refers to the *result* or the count of the ballots. In the sentence, "vote going to..." implies the count or percentage of ballots cast for that candidate. This seems plausible.
        2.  **Definition:** "the opinion of a group as determined by voting". Example: "they put the question to a vote". This refers to the process or the abstract opinion. Not quite fitting "vote going to...".
        3.  **Definition:** "a legal right...". Example: "American women got the vote...". Definitely not this. The sentence isn't about suffrage.
        4.  **Definition:** "a body of voters who have the same interests". Example: "he failed to get the Black vote". This refers to a demographic group. While "the Black vote" is similar to "the Republican vote", "major-party vote going to..." suggests the *ballots* cast, not the people themselves. However, sometimes "the vote" can mean the collective voters. Let's look closer. "The difference between a state's major-party vote... and the Republican share...".
        5.  **Definition:** "the total number of voters who participated". Example: "they are expecting a large vote". This refers to turnout.

    *   Let's refine Sense 1 vs Sense 4 vs Sense 5.
    *   Sense 1: "a choice that is made by counting..." / "a number of people in favor". The example is "17 votes". This sense often refers to the *count* or the *result*.
    *   Sense 4: "a body of voters". Example: "the Black vote". In political science contexts, "the Republican vote" often means the people voting Republican. However, the sentence says "vote going to the Republican...". Does a "body of voters" "go to" a candidate? Or do the ballots/choices go to the candidate? The phrase "vote going to" usually refers to the *tally* or the *proportion of votes*.
    *   Let's look at Sense 1 again. The definition says "a choice that is made by counting the number of people...". This is slightly ambiguous. Does it mean the *act* of making the choice, or the *result* (the count)? The example "there were only 17 votes" implies the count. The sentence mentions "difference between a state's major-party vote... and the Republican share...". The "Republican share" is a percentage of votes. Therefore, the "major-party vote" is being treated as a quantifiable amount (a share/count).
    *   Is "vote" here a "body of voters" (Sense 4)? If I say "The Republican vote stayed home," that's Sense 4. If I say "The Republican vote increased by 5%", that is the count of ballots (Sense 1). The sentence says "vote... going to the Republican...". This implies movement of the ballots/choice. "Vote" here is roughly synonymous with "vote total" or "vote share".
    *   Let's re-read Sense 1 definition carefully: "a choice that is made by counting the number of people in favor of each alternative". This definition is a bit clunky. It seems to define the *outcome* or the *tally*. The example "17 votes" confirms it refers to the countable units.
    *   Let's re-read Sense 4 definition: "a body of voters who have the same interests". Example: "he failed to get the Black vote". This sense is about the *constituency*.
    *   In the sentence: "the difference between a state's major-party vote... and the Republican share". The sentence compares two numerical values (differences/shares). "Republican share" is a number. "Vote... going to..." is the subject of that calculation. It implies the count of votes cast.
    *   Sense 1 covers the countable votes (e.g., "17 votes"). In the context of "the vote going to...", it refers to the tally.
    *   Sense 5: "the total number of voters who participated". This is turnout. "A large vote". The sentence is not talking about turnout (total participation), but specifically the allocation of votes to a specific candidate ("going to the Republican").
    *   Therefore, Sense 1 is the closest. It refers to the recorded preferences (the count/tally). The definition "a choice that is made by counting..." is a bit abstract, but the example "17 votes" shows it refers to the count.
    *   Let's double check if "vote" could be Sense 4. "Major-party vote" -> "The group of major-party voters". "The group of major-party voters going to the Republican..." -> This sounds like the people are physically moving. "Vote going to" is standard phrasing for "votes cast for".
    *   Standard WSD (Word Sense Disambiguation) datasets (like WordNet) often map "vote" (the noun) to:
        *   "vote" (the expression of preference): corresponds to Sense 1 (the count/tally).
        *   "electorate" or "constituency": corresponds to Sense 4.
    *   In "vote going to", it refers to the ballots/choices. E.g., "60% of the vote went to Smith". This is Sense 1 (the tally/result).
    *   Sense 1 Definition: "a choice that is made by counting..." - this phrasing is a bit odd (a choice made by counting?), but the intent is clearly the result of the voting process expressed as a count.
    *   Let's compare Sense 1 and Sense 5. Sense 5 is "total number of voters who participated". The sentence specifies "vote ... going to the Republican". This is a subset of the total vote. So it's not the "total number of voters who participated" (which would be turnout), but the specific count for a party. Sense 1 is the specific count for an alternative.

    *   Conclusion: Sense 1.
    *   Sentence context: "...major-party vote going to..." -> the number of votes/ballots cast for the major parties.
    *   Sense 1 definition focuses on "counting the number of people in favor of each alternative". This matches "vote... going to the Republican".

    *   Let's check Sense 5 again. "the total number of voters who participated". If the sentence said "The vote was low due to rain", that would be Sense 5. Here, the vote is being *split* or *allocated* to a candidate.
    *   Let's check Sense 4 again. "a body of voters". If the sentence said "The Republican vote is disillusioned", that would be Sense 4.
    *   Let's check Sense 2 again. "the opinion of a group". "Put the question to a vote". This is the process/event.
    *   Let's check Sense 3. Suffrage. No.

    *   So it is Sense 1. The definition provided for Sense 1 is: "a choice that is made by counting the number of people in favor of each alternative". While this definition is slightly distinct from "the total count of votes", the example "there were only 17 votes" confirms it maps to the numerical count of preferences. The sentence discusses the "Republican share", which is a number derived from the count of votes.

    *   Selection: 1.


[User]
Which numbered sense of "go" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote <t>going</t> to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate.

Senses:
1. definition=change location; move, travel, or proceed, also metaphorically | examples=How fast does your new car go?
2. definition=follow a procedure or take a course | examples=We should go farther in this matter
3. definition=move away from a place into another direction | examples=Go away before I start to cry
4. definition=enter or assume a certain state or condition | examples=He became annoyed when he heard the bad news
5. definition=be awarded; be allotted | examples=The first prize goes to Mary
6. definition=have a particular form | examples=the story or argument runs as follows
7. definition=stretch out over a distance, space, time, or scope; run or extend between two points or beyond a certain point | examples=Service runs all the way to Cranbury
8. definition=follow a certain course | examples=The inauguration went well
9. definition=be abolished or discarded | examples=These ugly billboards have to go!
10. definition=be or continue to be in a certain condition | examples=The children went hungry that day
11. definition=make a certain noise or sound | examples=She went `Mmmmm'
12. definition=perform as expected when applied | examples=The washing machine won't go unless it's plugged in
13. definition=to be spent or finished | examples=The money had gone after a few days
14. definition=progress by being changed | examples=The speech has to go through several more drafts
15. definition=continue to live through hardship or adversity | examples=We went without water and food for 3 days
16. definition=pass, fare, or elapse; of a certain state of affairs or action | examples=How is it going?
17. definition=pass from physical life and lose all bodily attributes and functions necessary to sustain life | examples=She died from cancer
18. definition=be in the right place or situation | examples=Where do these books belong?
19. definition=be ranked or compare | examples=This violinist is as good as Juilliard-trained violinists go
20. definition=begin or set in motion | examples=I start at eight in the morning
21. definition=have a turn; make one's move in a game | examples=Can I go now?
22. definition=be contained in | examples=How many times does 18 go into 54?
23. definition=be sounded, played, or expressed | examples=How does this song go again?
24. definition=blend or harmonize | examples=This flavor will blend with those in your dish
25. definition=lead, extend, or afford access | examples=This door goes to the basement
26. definition=be the right size or shape; fit correctly or as desired | examples=This piece won't fit into the puzzle
27. definition=go through in search of something; search through someone's belongings in an unauthorized way | examples=Who rifled through my desk drawers?
28. definition=be spent | examples=All my money went for food and rent
29. definition=give support (to) or make a choice (of) one out of a group or number | examples=I plumped for the losing candidates
30. definition=stop operating or functioning | examples=The engine finally went

reasoning_content:
1.  **Analyze the Request:**
    *   Target: Identify the correct sense of the word "go" (specifically the form "going") in the provided sentence.
    *   Output Format: Return *only* the number of the correct sense.
    *   Sentence: "A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote <t>going</t> to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate."
    *   Context: The phrase is "vote going to the Republican gubernatorial candidate".

2.  **Analyze the Sentence Context:**
    *   The subject is "a state's major-party vote".
    *   The action is "going to the Republican gubernatorial candidate".
    *   Meaning: The votes are allocated, awarded, or directed to the candidate. The votes belong to or are counted for that candidate.

3.  **Evaluate the Senses:**

    *   Sense 1: "change location..." - Votes don't physically move, though it can be metaphorical. "Vote going to" is a specific allocation metaphor, not just general movement.
    *   Sense 2: "follow a procedure..." - Doesn't fit.
    *   Sense 3: "move away..." - Doesn't fit.
    *   Sense 4: "enter or assume a certain state..." - Doesn't fit (e.g., "go crazy").
    *   Sense 5: "be awarded; be allotted" - Example: "The first prize goes to Mary".
        *   Let's check this against the sentence. "vote going to the Republican... candidate".
        *   Is the vote being awarded/allotted to the candidate? Yes. This matches perfectly.
    *   Sense 6: "have a particular form" - Doesn't fit.
    *   Sense 7: "stretch out..." - Doesn't fit.
    *   Sense 8: "follow a certain course" - Doesn't fit.
    *   Sense 9: "be abolished..." - Doesn't fit.
    *   Sense 10: "be or continue to be in a certain condition" - Doesn't fit.
    *   Sense 11: "make a certain noise" - Doesn't fit.
    *   Sense 12: "perform as expected" - Doesn't fit.
    *   Sense 13: "to be spent or finished" - Doesn't fit.
    *   Sense 14: "progress by being changed" - Doesn't fit.
    *   Sense 15: "continue to live..." - Doesn't fit.
    *   Sense 16: "pass, fare..." - Doesn't fit.
    *   Sense 17: "pass from physical life..." - Doesn't fit.
    *   Sense 18: "be in the right place" - Doesn't fit.
    *   Sense 19: "be ranked or compare" - Doesn't fit.
    *   Sense 20: "begin or set in motion" - Doesn't fit.
    *   Sense 21: "have a turn" - Doesn't fit.
    *   Sense 22: "be contained in" - Doesn't fit.
    *   Sense 23: "be sounded, played..." - Doesn't fit.
    *   Sense 24: "blend or harmonize" - Doesn't fit.
    *   Sense 25: "lead, extend..." - Doesn't fit.
    *   Sense 26: "be the right size..." - Doesn't fit.
    *   Sense 27: "go through in search..." - Doesn't fit.
    *   Sense 28: "be spent" - Doesn't fit.
    *   Sense 29: "give support..." - Close, but usually phrased as "go for". "Vote going to" is about the result/allocation.
    *   Sense 30: "stop operating" - Doesn't fit.

4.  **Confirm the Best Match:**
    *   Sense 5: "be awarded; be allotted".
    *   Example provided in Sense 5: "The first prize goes to Mary".
    *   Sentence usage: "vote <t>going</t> to the Republican... candidate".
    *   The vote is being allotted to the candidate.
    *   This is a strong semantic match.

5.  **Final Check:**
    *   Does "The vote goes to the candidate" mean "The vote is awarded/allotted to the candidate"? Yes.
    *   Does any other sense fit better?
        *   Sense 1 is too broad ("change location").
        *   Sense 25 ("lead, extend") usually refers to physical structures (roads, paths).
    *   Sense 5 is the specific standard definition for things like prizes, votes, inheritances, etc., moving/being assigned to a recipient.

6.  **Formulate Output:**
    *   The correct sense is number 5.


[User]
Which numbered sense of "republican" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the <t>Republican</t> gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate.

Senses:
1. definition=relating to or belonging to the Republican Party | examples=a Republican senator
2. definition=having the supreme power lying in the body of citizens entitled to vote for officers and representatives responsible to them or characteristic of such government; - United States Constitution; ; - Philip Marsh; -Nathaniel Hawthorne | examples=the United States shall guarantee to every state in this union a republican form of government

reasoning_content:
1.  **Analyze the input sentence:** "A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the <t>Republican</t> gubernatorial candidate and the Republican share of the lower state house is a positive function of the state tax rate."

2.  **Identify the target word:** "<t>Republican</t>" (adjective modifying "gubernatorial candidate").

3.  **Analyze the context:** The sentence discusses a "gubernatorial candidate," "major-party vote," and "Republican share of the lower state house." This context is explicitly political within the United States system (gubernatorial, state house).

4.  **Analyze Sense 1:** "relating to or belonging to the Republican Party" with example "a Republican senator."
    *   Does this fit? Yes. The sentence refers to a specific candidate belonging to or representing the Republican Party in a gubernatorial election. It contrasts the Republican candidate's vote share with the Republican share of the state house.

5.  **Analyze Sense 2:** "having the supreme power lying in the body of citizens entitled to vote for officers and representatives responsible to them or characteristic of such government..."
    *   Does this fit? No. This sense refers to a "republican form of government" (representative democracy) as opposed to a monarchy or dictatorship. The sentence is not talking about a "republican candidate" in the sense of a candidate supporting a republic as a form of government (which would be redundant in a US context); it is talking about the specific political party named the Republican Party.

6.  **Compare and Decide:** The usage refers to the proper noun entity "Republican Party." Sense 1 defines exactly this usage. Sense 2 defines the adjective "republican" in a general political theory context (small 'r' republican).

7.  **Formulate Output:** The correct sense is number 1. The user requested "only the number of the correct sense."

8.  **Final Check:** The sentence mentions "Republican gubernatorial candidate" and "Republican share of the lower state house." These are clearly references to the US political party. Sense 1 is the correct match.

9.  **Output:** 1.

provider: DigitalOcean


[User]
Which numbered sense of "candidate" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial <t>candidate</t> and the Republican share of the lower state house is a positive function of the state tax rate.

Senses:
1. definition=a politician who is running for public office
2. definition=someone who is considered for something (for an office or prize or honor etc.)

reasoning_content:
1.  **Analyze the Request:**
    *   Target word: "candidate".
    *   Context sentence: "A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial <t>candidate</t> and the Republican share of the lower state house is a positive function of the state tax rate."
 Note the specific phrase "Republican gubernatorial candidate".
    *   Task: Identify the correct sense number from the provided list.
    *   Output constraint: Return *only* the number.

2.  **Analyze the Senses:**
    *   Sense 1: "a politician who is running for public office".
        *   Keywords: running for, public office, active campaigner.
    *   Sense 2: "someone who is considered for something (for an office or prize or honor etc.)".
        *   Keywords: considered for, passive potential recipient (e.g., a candidate for surgery, a candidate for an award).

3.  **Analyze the Context:**
    *   The sentence discusses voting. "the difference between a state's major - party vote going to the Republican gubernatorial <t>candidate</t>..."
    *   "Gubernatorial" means relating to the governorship (the office of governor).
    *   A "gubernatorial candidate" is someone running for governor.
    *   The sentence talks about votes going to this person. People receive votes when they are actively running for election.

4.  **Compare Context to Senses:**
    *   Does Sense 1 fit? Yes. A "gubernatorial candidate" is exactly a politician running for public office (governor). The context of "vote going to..." confirms an active election process.
    *   Does Sense 2 fit? It could arguably fit the broad definition (someone considered for an office), but Sense 1 is much more specific and accurate for the context of an election where votes are being cast. In political contexts, "candidate" usually implies the active role (Sense 1). Sense 2 is often used for non-political contexts (e.g., "a candidate for heart surgery") or situations where the person hasn't necessarily put themselves forward but is being vetted (though in politics, the two overlap). However, standard definitions for "candidate" in political science almost always default to Sense 1 (running for office).

5.  **Refine the Decision:**
    *   The phrase "vote going to the... candidate" implies a ballot box scenario.
    *   Sense 1 explicitly mentions "running for public office". This matches "gubernatorial candidate".
    *   Sense 2 mentions "considered for something". While a nominee is considered, the primary definition in an election context is Sense 1.
    *   Sense 1 is the standard definition for a political candidate in an election.

6.  **Final Verification:**
    *   Sentence: "...vote going to the Republican gubernatorial candidate..."
    *   Sense 1 definition: "a politician who is running for public office".
    *   Match: Perfect.

7.  **Format Output:**
    *   The user requested "Return only the number of the correct sense."
    *   The number is1.


[User]
Which numbered sense of "republican" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the <t>Republican</t> share of the lower state house is a positive function of the state tax rate.

Senses:
1. definition=relating to or belonging to the Republican Party | examples=a Republican senator
2. definition=having the supreme power lying in the body of citizens entitled to vote for officers and representatives responsible to them or characteristic of such government; - United States Constitution; ; - Philip Marsh; -Nathaniel Hawthorne | examples=the United States shall guarantee to every state in this union a republican form of government

reasoning_content:
1.  **Analyze the Request:** The user wants to identify the correct sense of the word "Republican" (specifically the instance marked with `<t>Republican</t>`) in the provided sentence. I need to return *only* the number of the correct sense.

2.  **Analyze the Sentence:**
    *   Sentence: "A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the <t>Republican</t> share of the lower state house is a positive function of the state tax rate."
    *   Context: The sentence discusses U.S. politics, specifically gubernatorial candidates ("Republican gubernatorial candidate") and the composition of a state legislative body ("lower state house"). It mentions "major-party vote", implying a political party context.
    *   Target word: "<t>Republican</t>" modifies "share of the lower state house". It refers to the political affiliation of the members or seats in the state house.

3.  **Analyze the Senses:**
    *   Sense 1: "relating to or belonging to the Republican Party". Examples: "a Republican senator".
    *   Sense 2: "having the supreme power lying in the body of citizens... or characteristic of such government". Examples: references to the U.S. Constitution ("a republican form of government").

4.  **Match Sentence to Sense:**
    *   The sentence is talking about the "Republican share of the lower state house". This refers to the percentage of seats held by the Republican Party in the state legislature.
    *   It is contrasting this with votes for a "Republican gubernatorial candidate".
    *   This clearly refers to the political party, the Republican Party, in the United States context.
    *   Sense 1 defines this exactly: "relating to or belonging to the Republican Party".
    *   Sense 2 refers to a system of government (a republic), not a specific political party. This is a lower-case 'r' republican concept usually (though the headword is capitalized here, the definition fits the political philosophy). The sentence usage is clearly about the specific party, not the form of government (which would usually apply to the whole state structure regardless of party control).

5.  **Conclusion:** Sense 1 is the correct match.

6.  **Format Output:** The user requested "Return only the number of the correct sense."

7.  **Final Output:** 1


[User]
Which numbered sense of "share" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican <t>share</t> of the lower state house is a positive function of the state tax rate.

Senses:
1. definition=assets belonging to or due to or contributed by an individual person or group | examples=he wanted his share in cash
2. definition=any of the equal portions into which the capital stock of a corporation is divided and ownership of which is evidenced by a stock certificate | examples=he bought 100 shares of IBM at the market price
3. definition=the allotment of some amount by dividing something | examples=death gets more than its share of attention from theologians
4. definition=the part played by a person in bringing about a result | examples=I am proud of my contribution in advancing the project
5. definition=a sharp steel wedge that cuts loose the top layer of soil

reasoning_content:
1.  **Analyze the sentence:** "A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican <t>share</t> of the lower state house is a positive function of the state tax rate."

2.  **Analyze the context of the target word "<t>share</t>":** The phrase is "the Republican <t>share</t> of the lower state house".
    *   "Lower state house" refers to a legislative body (politics).
    *   "Republican share" refers to the portion or percentage of seats or votes held by Republicans in that body.
    *   The sentence compares the vote for a governor candidate to the proportion of legislative seats held by the party.

3.  **Evaluate the provided senses:**

    *   **Sense 1:** "assets belonging to or due to or contributed by an individual person or group".
        *   *Context:* Financial assets or property.
        *   *Fit:* Does "share of the lower state house" mean financial assets? No. It's about political representation.

    *   **Sense 2:** "any of the equal portions into which the capital stock of a corporation is divided and ownership of which is evidenced by a stock certificate".
        *   *Context:* Stock market, corporate equity.
        *   *Fit:* Does it mean stocks? No.

    *   **Sense 3:** "the allotment of some amount by dividing something".
        *   *Context:* A portion, a part, a percentage, a slice of a whole.
        *   *Fit:* "Republican share of the lower state house" means the portion or percentage of the total seats in the house held by Republicans. This fits the concept of an allotment or portion resulting from a division (of seats/votes).

    *   **Sense 4:** "the part played by a person in bringing about a result".
        *   *Context:* Contribution, role, participation.
        *   *Fit:* Does it mean the role Republicans played? No, it refers to the numerical portion of seats they hold.

    *   **Sense 5:** "a sharp steel wedge that cuts loose the top layer of soil".
        *   *Context:* Farming equipment (plowshare).
        *   *Fit:* No.

4.  **Select the best match:** Sense 3 ("the allotment of some amount by dividing something") is the correct definition. In this context, "share" refers to a portion or percentage (allotment) of the total composition of the state house.

5.  **Final Output Formulation:** The user requested only the number. The number is 3.


[User]
Which numbered sense of "house" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state <t>house</t> is a positive function of the state tax rate.

Senses:
1. definition=a dwelling that serves as living quarters for one or more families | examples=he has a house on Cape Cod
2. definition=the members of a business organization that owns or operates one or more establishments | examples=he worked for a brokerage house
3. definition=the members of a religious community living together
4. definition=the audience gathered together in a theatre or cinema | examples=the house applauded
5. definition=an official assembly having legislative powers | examples=a bicameral legislature has two houses
6. definition=aristocratic family line | examples=the House of York
7. definition=play in which children take the roles of father or mother or children and pretend to interact like adults | examples=the children were playing house
8. definition=(astrology) one of 12 equal areas into which the zodiac is divided
9. definition=the management of a gambling house or casino | examples=the house gets a percentage of every bet
10. definition=a social unit living together | examples=he moved his family to Virginia
11. definition=a building where theatrical performances or motion-picture shows can be presented | examples=the house was full
12. definition=a building in which something is sheltered or located | examples=they had a large carriage house

reasoning_content:
1.  **Analyze the input sentence:** "A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state <t>house</t> is a positive function of the state tax rate."

2.  **Identify the context of the target word "house":**
    *   The sentence talks about politics, specifically "state's major-party vote", "gubernatorial candidate", and "Republican share".
    *   It refers to the "lower state <t>house</t>".
    *   In US politics, state legislatures are often bicameral (two houses). The "lower house" is one of these chambers (like the House of Representatives or Assembly), distinct from the "upper house" (Senate).
    *   The context implies a legislative body or assembly.

3.  **Evaluate the provided senses:**
    *   Sense 1: "a dwelling..." - Incorrect. Not a physical building for living.
    *   Sense 2: "members of a business organization..." - Incorrect. Not a business.
    *   Sense 3: "members of a religious community..." - Incorrect.
    *   Sense 4: "audience gathered together..." - Incorrect.
    *   Sense 5: "an official assembly having legislative powers" - Matches the context of a state legislative body ("lower state house").
    *   Sense 6: "aristocratic family line" - Incorrect.
    *   Sense 7: "play in which children..." - Incorrect.
    *   Sense 8: "astrology..." - Incorrect.
    *   Sense 9: "management of a gambling house..." - Incorrect.
    *   Sense 10: "a social unit living together" - Incorrect. Similar to 1 but broader, still refers to people living in a dwelling, not a legislative body.
    *   Sense 11: "a building where theatrical performances..." - Incorrect.
    *   Sense 12: "a building in which something is sheltered..." - Incorrect.

4.  **Confirm Sense 5:**
    *   Definition: "an official assembly having legislative powers".
    *   Examples: "a bicameral legislature has two houses".
    *   Application: The "lower state house" is one of the legislative chambers (official assemblies) in a state government. This fits perfectly.

5.  **Final Output:** The correct sense is number 5.


[User]
Which numbered sense of "positive" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a <t>positive</t> function of the state tax rate.

Senses:
1. definition=characterized by or displaying affirmation or acceptance or certainty etc. | examples=a positive attitude
2. definition=persuaded of; very sure | examples=were convinced that it would be to their advantage to join
3. definition=involving advantage or good | examples=a plus (or positive) factor
4. definition=indicating existence or presence of a suspected condition or pathogen | examples=a positive pregnancy test
5. definition=formally laid down or imposed | examples=positive laws
6. definition=impossible to deny or disprove | examples=incontrovertible proof of the defendant's innocence
7. definition=of or relating to positivism | examples=positivist thinkers
8. definition=reckoned, situated or tending in the direction which naturally or arbitrarily is taken to indicate increase or progress or onward motion | examples=positive increase in graduating students
9. definition=greater than zero | examples=positive numbers
10. definition=having a positive charge | examples=protons are positive
11. definition=marked by excessive confidence | examples=an arrogant and cocksure materialist

reasoning_content:
1.  **Analyze the Request:** The user wants to identify the correct sense of the word "positive" used in a specific sentence from a provided list of senses. The output must be *only* the number of the correct sense.

2.  **Analyze the Sentence:** "A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a <t>positive</t> function of the state tax rate."

    *   *Key phrase:* "positive function of the state tax rate".
    *   *Context:* Econometrics, mathematics/statistics relationship.
    *   *Meaning:* As the state tax rate increases, the difference mentioned (the dependent variable) also increases. Or, there is a direct relationship/correlation where both move in the same direction.

3.  **Analyze the Senses:**

    *   1. definition=characterized by or displaying affirmation or acceptance or certainty etc. (e.g., attitude). -> *Incorrect.* This is about emotional/mental state.
    *   2. definition=persuaded of; very sure. -> *Incorrect.* This is about certainty/opinion.
    *   3. definition=involving advantage or good. -> *Incorrect.* This is about beneficial quality (a "plus" factor).
    *   4. definition=indicating existence or presence of a suspected condition or pathogen. -> *Incorrect.* Medical context.
    *   5. definition=formally laid down or imposed. -> *Incorrect.* Legal context (positive law).
    *   6. definition=impossible to deny or disprove. -> *Incorrect.* Evidentiary context.
    *   7. definition=of or relating to positivism. -> *Incorrect.* Philosophical context.
    *   8. definition=reckoned, situated or tending in the direction which naturally or arbitrarily is taken to indicate increase or progress or onward motion. (examples: positive increase). -> *Promising.* This describes a directional relationship. In mathematics and graphs, "positive" indicates upward movement or increase. A "positive function" or "positive relationship" means $y$ increases as $x$ increases.
    *   9. definition=greater than zero. (examples: positive numbers). -> *Close, but check specific usage.* A "positive function" in this context usually refers to the *slope* or the *relationship* (the sign of the derivative), not necessarily the value of the function itself (though the function's output might be positive, the context of "function of" usually implies the relationship between variables).
    *   Let's compare 8 and 9 closely.
        *   Sense 8 talks about "tending in the direction which naturally... is taken to indicate increase". This fits the concept of a positive correlation or a positive slope in econometrics. As Tax Rate goes up, the Difference goes up.
        *   Sense 9 is about a specific value being $> 0$. While a positive slope is greater than zero, the *definition* in sense 8 ("direction... to indicate increase") captures the *functional relationship* aspect better than just the numerical value aspect. The sentence says it is a "positive function *of*..." implying a relationship between two variables. This is the standard language for "positive correlation" or "positive slope".
        *   Let's look at the examples in Sense 8: "positive increase in graduating students". This mirrors the usage here.
        *   Let's look at Sense 9: "positive numbers". A "positive function" *could* mean a function that outputs positive numbers ($f(x) > 0$). However, the sentence structure "X is a positive function of Y" strongly implies that the *dependence* is positive (i.e., derivative/slope is positive). This is a direction of change.
        *   Sense 8 explicitly mentions "tending in the direction... to indicate increase". This matches the econometric finding that as one variable changes, the other changes in a specific (positive/increasing) direction.

    *   Let's re-read Sense 8 carefully: "reckoned, situated or tending in the direction which naturally or arbitrarily is taken to indicate increase or progress or onward motion".
    *   Does "positive function" fit this? Yes. In economics/econometrics, a positive relationship means variables move together (increase in X -> increase in Y).

    *   Let's re-read Sense 9: "greater than zero".
    *   If the sentence meant the value of the difference is always above zero, it might say "the difference... is positive". But it says it is a "positive function *of* the state tax rate". The "function of" part is key. It describes the *nature of the relationship*.
    *   However, some dictionaries might classify "positive correlation" or "positive relationship" under the "greater than zero" sense (referring to the correlation coefficient or slope being > 0).
    *   Let's look at the provided definitions specifically. The source seems to be WordNet (or similar).
    *   WordNet sense for "positive":
        *   Sense 8: "reckoned, situated or tending in the direction which naturally or arbitrarily is taken to indicate increase or progress or onward motion; "a positive increase in graduating students""
        *   Sense 9: "greater than zero; "positive numbers""
    *   In the context of a "positive function of...", it means the slope is positive.
    *   Which definition fits "slope" or "relationship"? Sense 8 describes "direction... to indicate increase". This is exactly what a positive relationship is. Sense 9 describes a magnitude/value ("numbers").
    *   Therefore, Sense 8 is the best fit for describing a functional relationship where an increase in the independent variable leads to an increase in the dependent variable.

4.  **Final Verification:**
    *   Sentence: The difference is a **positive function** of the tax rate.
    *   Meaning: Higher tax rate -> Higher difference.
    *   Sense 8: "tending in the direction... to indicate increase".
    *   Match: Perfect. It describes the direction of the relationship.

5.  **Format Output:** Return only the number.
    *   Number: 8.


[User]
Which numbered sense of "function" (marked with <t></t>) is used in the sentence below? Return only the number of the correct sense.

Sentence: A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive <t>function</t> of the state tax rate.

Senses:
1. definition=(mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
2. definition=what something is used for | examples=the function of an auger is to bore holes
3. definition=the actions and activities assigned to or required or expected of a person or group | examples=the function of a teacher
4. definition=a relation such that one thing is dependent on another | examples=height is a function of age
5. definition=a formal or official social gathering or ceremony | examples=it was a black-tie function
6. definition=a vaguely specified social event | examples=the party was quite an affair
7. definition=a set sequence of steps, part of larger computer program

reasoning_content:
The sentence is: "A cross-state econometric investigation, furthermore, reveals that, holding other factors constant, the difference between a state's major - party vote going to the Republican gubernatorial candidate and the Republican share of the lower state house is a positive <t>function</t> of the state tax rate."
The word "function" is used in the phrase "is a positive function of the state tax rate".
This means the difference is dependent on the state tax rate, or varies with it.
Looking at the senses:
1. Mathematical relation (domain/range) - a strict mathematical definition.
2. What something is used for.
3. Actions/activities assigned to a person/group.
4. A relation such that one thing is dependent on another | examples=height is a function of age.
5. Formal or official social gathering.
6. Vaguely specified social event.
7. Set sequence of steps in a computer program.

The phrase "A is a function of B" matches sense 4 perfectly ("height is a function of age"). It implies dependence of one thing on another in a general or statistical sense, rather than strictly the formal mathematical definition in sense 1, though they are related. Sense 4 specifically provides the example "height is a function of age", which directly parallels the usage "is a positive function of the state tax rate".

Let's verify. "is a positive function of" means as the state tax rate increases, the difference increases. It's expressing dependency. Sense 4 is exactly this: "a relation such that one thing is dependent on another".

Therefore, the correct sense number is 4.

provider: SiliconFlow