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

Context: Nowadays it is capable to make simple MathML operations (arithmetic and logical) and to representate 2D and 3D graphs. It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main <t>window</t> kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab.

Senses:
1. definition=a framework of wood or metal that contains a glass windowpane and is built into a wall or roof to admit light or air
2. definition=a transparent opening in a vehicle that allow vision out of the sides or back; usually is capable of being opened
3. definition=a transparent panel (as of an envelope) inserted in an otherwise opaque material
4. definition=an opening that resembles a window in appearance or function | examples=he could see them through a window in the trees
5. definition=the time period that is considered best for starting or finishing something | examples=the expanded window will give us time to catch the thieves; they had a window of less than an hour when an attack would have succeeded
6. definition=a pane of glass in a window | synonyms=windowpane | examples=the ball shattered the window
7. definition=an opening in a wall or screen that admits light and air and through which customers can be served | examples=he stuck his head in the window
8. definition=(computer science) a rectangular part of a computer screen that contains a display different from the rest of the screen

reasoning_content:
1.  **Analyze the context:** The text describes "kalgebra," a graph calculator. It mentions a "screenshot of kalgebra main window" and then describes what this "window" consists of: "a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab."

2.  **Identify the target word:** The word is "window" (specifically, "kalgebra main window").

3.  **Determine the meaning of "window" in this context:** The "window" is a graphical user interface (GUI) element—the main display area or frame of the software application.

4.  **Examine the provided senses:**
    *   1. Framework of wood/metal (architectural). (No)
    *   2. Transparent opening in a vehicle. (No)
    *   3. Transparent panel (in an envelope). (No)
    *   4. Opening resembling a window (metaphorical/natural). (No)
    *   5. Time period. (No)
    *   6. Pane of glass. (No)
    *   7. Opening in a wall/screen for service (shop window). (No)
    *   8. (computer science) a rectangular part of a computer screen that contains a display different from the rest of the screen. (Yes, this perfectly matches the description of a GUI element/main display area.)

5.  **Select the corresponding number:** Sense 8.


attempt_kind: initial

status: success

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

Context: It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra <t>main</t> window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations.

Senses:
1. definition=most important element | synonyms=chief, primary, principal, master | examples=the chief aim of living; the main doors were of solid glass
2. definition=(of a clause) capable of standing syntactically alone as a complete sentence | synonyms=independent | examples=the main (or independent) clause in a complex sentence has at least a subject and a verb
3. definition=of force; of the greatest possible intensity | examples=by main strength

finish_reason: stop

role: assistant

reasoning_content:
1.  **Analyze the request:** The user wants to identify which numbered sense of the word "main" (marked as `<t>main</t>`) is used in the provided context. The output must be *only* the number of the correct sense.

2.  **Analyze the context:**
    "Here's a screenshot of kalgebra main window kalgebra main window kalgebra <t>main</t> window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab."

3.  **Determine the function of "main" in the context:**
    "kalgebra main window" refers to the primary, principal, or chief window/interface of the kalgebra program. It is the central, most important window.

4.  **Evaluate the senses:**
    *   **Sense 1:** definition=most important element | synonyms=chief, primary, principal, master | examples=the chief aim of living; the main doors were of solid glass.
        *   *Match?* Yes. "Main window" means the primary or principal window.
    *   **Sense 2:** definition=(of a clause) capable of standing syntactically alone as a complete sentence | synonyms=independent | examples=the main (or independent) clause in a complex sentence has at least a subject and a verb.
        *   *Match?* No. This relates to grammar/syntax.
    *   **Sense 3:** definition=of force; of the greatest possible intensity | examples=by main strength.
        *   *Match?* No. This relates to intensity or force.

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

6.  **Format the output:** Return only the number.

currency: USD

source: unavailable


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

Context: It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main <t>window</t> consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations.

Senses:
1. definition=a framework of wood or metal that contains a glass windowpane and is built into a wall or roof to admit light or air
2. definition=a transparent opening in a vehicle that allow vision out of the sides or back; usually is capable of being opened
3. definition=a transparent panel (as of an envelope) inserted in an otherwise opaque material
4. definition=an opening that resembles a window in appearance or function | examples=he could see them through a window in the trees
5. definition=the time period that is considered best for starting or finishing something | examples=the expanded window will give us time to catch the thieves; they had a window of less than an hour when an attack would have succeeded
6. definition=a pane of glass in a window | synonyms=windowpane | examples=the ball shattered the window
7. definition=an opening in a wall or screen that admits light and air and through which customers can be served | examples=he stuck his head in the window
8. definition=(computer science) a rectangular part of a computer screen that contains a display different from the rest of the screen

reasoning_content:
1.  **Analyze the context:** The text describes "kalgebra main window." It then details what this "window" consists of: "a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab." It also mentions an "input field."

2.  **Identify the key phrase:** "kalgebra main window."

3.  **Determine the meaning of "window" in this context:** The word refers to a specific, rectangular area or interface within a computer application (kalgebra) that displays different components (tabs, input fields).

4.  **Examine the provided senses:**
    *   1. Framework of wood/metal (architectural). (No)
    *   2. Transparent opening in a vehicle. (No)
    *   3. Transparent panel (in an envelope). (No)
    *   4. Opening resembling a window (metaphorical/natural). (No)
    *   5. Time period. (No)
    *   6. Pane of glass. (No)
    *   7. Opening in a wall/screen for service (shop window). (No)
    *   8. (computer science) a rectangular part of a computer screen that contains a display different from the rest of the screen. (Yes)

5.  **Match the context to the sense:** The description of tabs, graphs, and input fields within a software application perfectly matches the definition of a computer science window (Sense 8).

6.  **Formulate the final answer:** Return only the number 8.


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

Context: It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window <t>consists</t> in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations.

Senses:
1. definition=originate (in) | synonyms=dwell, lie, lie in | examples=The problems dwell in the social injustices in this country
2. definition=have its essential character; be comprised or contained in; be embodied in | examples=The payment consists in food; What does love consist in?
3. definition=be consistent in form, tenor, or character; be congruous | examples=Desires are to be satisfied only so far as consists with an approved end
4. definition=be composed of | synonyms=comprise | examples=The land he conquered comprised several provinces; What does this dish consist of?

reasoning_content:
1.  **Analyze the context:** The sentence is: "kalgebra consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab."
2.  **Identify the core meaning:** The sentence is describing what kalgebra *is made up of* or *includes*. The tabs (Console, 2D Graph, etc.) are the components of the software (kalgebra).
3.  **Examine the senses provided:**
    *   Sense 1: dwell, lie in (Focuses on location/residence). *Does not fit.*
    *   Sense 2: have its essential character; be comprised or contained in; be embodied in. (Focuses on essential nature/composition). *Plausible, but often used for abstract concepts.*
    *   Sense 3: be consistent in form, tenor, or character; be congruous. (Focuses on agreement/harmony). *Does not fit.*
    *   Sense 4: be composed of; synonyms=comprise. (Focuses on physical or structural components). *Strongly fits.*
4.  **Compare Sense 2 and Sense 4:**
    *   Sense 2: "The payment consists in food." (Focuses on what the payment *is* or *is made up of* in a conceptual sense).
    *   Sense 4: "What does this dish consist of?" (Focuses on the ingredients/components).
    *   In the context of software structure ("kalgebra consists in/of tabs"), the meaning is clearly structural composition. Sense 4 ("be composed of") is the most direct and accurate fit for describing the parts of a whole.

5.  **Conclusion:** Sense 4 is the correct meaning.


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

Context: It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a <t>Console</t> tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations.

Senses:
1. definition=a small table fixed to a wall or designed to stand against a wall | synonyms=console table
2. definition=a scientific instrument consisting of displays and an input device that an operator can use to monitor and control a system (especially a computer system)
3. definition=an ornamental scroll-shaped bracket (especially one used to support a wall fixture) | examples=the bust of Napoleon stood on a console
4. definition=housing for electronic instruments, as radio or television | synonyms=cabinet

reasoning_content:
1.  **Analyze the context:** The text describes "kalgebra," a "MathML based graph calculator." It mentions the "kalgebra main window," which consists of several tabs: "Console," "2D Graph tab," "3D Graph tab," and "Dictionary tab." Below these tabs is an "input field to type your functions or do your calculations."

2.  **Determine the function of "Console" in the context:** In the context of a calculator/software interface, a "Console" is where the user interacts with the system, inputs commands/functions, and likely sees the output.

3.  **Evaluate the senses:**
    *   Sense 1: "a small table fixed to a wall..." (Furniture). Does not fit a software interface.
    *   Sense 2: "a scientific instrument consisting of displays and an input device that an operator can use to monitor and control a system (especially a computer system)." This perfectly describes the function of a console within a computer application or calculator.
    *   Sense 3: "an ornamental scroll-shaped bracket..." (Architectural/Decorative). Does not fit a software interface.
    *   Sense 4: "housing for electronic instruments..." (Cabinet/Enclosure). While a console *can* be a housing, the context specifically refers to a *tab* within the software where input/calculations happen, making the interactive control aspect (Sense 2) more accurate than the physical housing aspect (Sense 4).

4.  **Select the best fit:** Sense 2 is the correct meaning for "Console" in the context of a computer application/calculator interface.

5.  **Format the output:** Return only the number.


[User]
Which numbered sense of "3d" (marked with <t></t>) is used in the context below? Return only the number of the correct sense.

Context: It is actually not necessary to know MathML to use kalgebra. kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a <t>3D</t> Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations.

Senses:
1. definition=a movie with images having three dimensional form or appearance | synonyms=three-D
2. definition=having a three-dimensional form or appearance | synonyms=three-D | examples=aren't dreams always in 3-D?

reasoning_content:
1.  **Analyze the Request:** The user wants to identify which numbered sense of the term "3D" (marked as `<t>3D</t>`) is used in the provided context. The output must be *only* the number of the correct sense.

2.  **Analyze the Context:**
    *   The context describes the features of a program called "kalgebra."
    *   It lists several tabs in the main window: "Console tab," "2D Graph tab," "a `<t>3D</t>` Graph tab," and "a Dictionary tab."
    *   The term "3D Graph tab" refers to a type of graph visualization capability within the software.

3.  **Analyze the Senses:**
    *   **Sense 1:** definition=a movie with images having three dimensional form or appearance | synonyms=three-D (Focuses on movies/images).
    *   **Sense 2:** definition=having a three-dimensional form or appearance | synonyms=three-D | examples=aren't dreams always in 3-D? (Focuses on physical or perceived three-dimensional form/appearance).

4.  **Match Context to Sense:**
    *   A "3D Graph tab" implies the ability to plot data or visualize functions in three dimensions (length, width, height/depth).
    *   This relates directly to the concept of "having a three-dimensional form or appearance."

5.  **Conclusion:** Sense 2 is the correct fit.

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


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

Context: kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. <t>Below</t> these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML.

Senses:
1. definition=in or to a place that is lower | synonyms=at a lower place, to a lower place, beneath
2. definition=at a later place | examples=see below
3. definition=(in writing) see below | synonyms=infra | examples=vide infra
4. definition=on a floor below | synonyms=downstairs, down the stairs, on a lower floor | examples=the tenants live downstairs
5. definition=further down | synonyms=under | examples=see under for further discussion

reasoning_content:
1.  **Analyze the context:** The sentence is: "Below these tabs you will find an input field to type your functions or do your calculations."
2.  **Analyze the meaning of "Below" in this context:** The tabs (Console, 2D Graph, 3D Graph, Dictionary) are displayed, and the input field is located physically underneath them on the screen/interface.
3.  **Evaluate the senses:**
    *   **1. definition=in or to a place that is lower | synonyms=at a lower place, to a lower place, beneath:** This matches the physical location description (the input field is physically lower/beneath the tabs).
    *   **2. definition=at a later place | examples=see below:** This refers to time or sequence, not physical location. (Incorrect)
    *   **3. definition=(in writing) see below | synonyms=infra | examples=vide infra:** This is a formal reference to content later in the text. (Incorrect)
    *   **4. definition=on a floor below | synonyms=downstairs, down the stairs, on a lower floor | examples=the tenants live downstairs:** This refers to floors in a building. (Incorrect)
    *   **5. definition=further down | synonyms=under | examples=see under for further discussion:** This refers to moving further down a document or list, often used for content reference. While related to physical position, Sense 1 is a more direct and general description of the spatial relationship ("at a lower place/beneath").

4.  **Select the best fit:** Sense 1 ("in or to a place that is lower | synonyms=at a lower place, to a lower place, beneath") perfectly describes the spatial relationship between the tabs and the input field.

5.  **Final Answer Formulation:** Return only the number.


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

Context: kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will <t>find</t> an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML.

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

reasoning_content:
1.  **Analyze the context:** The sentence is: "Below these tabs you will <t>find</t> an input field to type your functions or do your calculations."
2.  **Determine the meaning of "find" in this context:** The speaker is telling the user where a specific element (an input field) is located within the software interface. It means the user will locate or encounter the field when looking at the screen.
3.  **Examine the senses provided:** I need to match the meaning ("to locate/be present at a specific place") to the definitions.

    *   1. come upon, as if by accident; meet with (Accidental encounter) - *No.*
    *   2. discover or determine the existence, presence, or fact of (General detection/existence) - *Possible, but usually implies searching for something hidden.*
    *   3. come upon after searching; find the location of something that was missed or lost (Locating a lost item) - *No, the field isn't lost.*
    *   4. establish after a calculation, investigation, experiment, survey, or study (Determining a result) - *No.*
    *   5. come to believe on the basis of emotion, intuitions, or indefinite grounds (Feeling/believing) - *No.*
    *   6. perceive or be contemporaneous with (Witnessing/seeing) - *This relates to presence/location, but usually used for events or people.*
    *   7. get something or somebody for a specific purpose (Acquiring/obtaining for a goal) - *No.*
    *   8. make a discovery, make a new finding (Scientific discovery) - *No.*
    *   9. make a discovery (General discovery) - *No.*
    *   10. obtain through effort or management (Acquiring resources) - *No.*
    *   11. decide on and make a declaration about (Ruling) - *No.*
    *   12. receive a specified treatment (Abstract reception) - *No.*
    *   13. perceive oneself to be in a certain condition or place (Self-perception/location) - *No, the subject is the input field, not the user's self-perception.*
    *   14. get or find back; recover the use of (Regaining) - *No.*
    *   15. succeed in reaching; arrive at (Reaching a target) - *No.*
    *   16. accept and make use of one's personality, abilities, and situation (Self-discovery) - *No.*

4.  **Re-evaluate the best fit:** The context is "you will find [X] below these tabs." This is a common usage meaning "you will see" or "it is located."

    *   Sense 2: "discover or determine the existence, presence, or fact of." When used in the sense of "it is present," this fits well. "You will find an input field" means "an input field exists there."
    *   Sense 6: "perceive or be contemporaneous with." This is closer to "you will see," which is often synonymous with "you will find" when referring to visual elements on a screen.

5.  **Compare 2 and 6:**
    *   Sense 2 focuses on *determining* existence (e.g., "We found traces of lead").
    *   Sense 6 focuses on *perceiving* or *being* present (e.g., "We found Republicans winning the offices" - meaning they were observed/present).

    In the context of a UI description ("Below these tabs you will find an input field"), the meaning is purely locational/perceptual. Sense 6 ("perceive or be contemporaneous with") captures the idea of the object being visible or present in that location.

6.  **Final check:** "You will find an input field" = "You will see an input field." Sense 6 is the closest match for this visual/locational perception.


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

Context: kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to <t>type</t> your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML.

Senses:
1. definition=write by means of a keyboard with types | synonyms=typewrite | examples=type the acceptance letter, please
2. definition=identify as belonging to a certain type | synonyms=typecast | examples=Such people can practically be typed

reasoning_content:
1.  **Analyze the Request:** The user wants to know which numbered sense of the word "type" (<t>type</t>) is used in the provided context. The output must be *only* the number.

2.  **Analyze the Context:**
    "Below these tabs you will find an input field to <t>type</t> your functions or do your calculations."

3.  **Analyze the Usage:** The word "type" is used here as an infinitive verb ("to type"). It refers to the action of entering characters (functions, calculations) into an input field (like a keyboard or a computer interface).

4.  **Analyze the Senses:**
    *   **Sense 1:** definition=write by means of a keyboard with types | synonyms=typewrite | examples=type the acceptance letter, please
    *   **Sense 2:** definition=identify as belonging to a certain type | synonyms=typecast | examples=Such people can practically be typed

5.  **Match Context to Sense:**
    *   The action in the context ("type your functions") is physically entering data using a keyboard/input field.
    *   This matches the definition of Sense 1 ("write by means of a keyboard").

6.  **Determine the Output:** The correct sense is 1.


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

Context: kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your <t>functions</t> or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML.

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) | synonyms=mathematical function, single-valued function, map, mapping
2. definition=what something is used for | synonyms=purpose, role, use | examples=the function of an auger is to bore holes; ballet is beautiful but what use is it?
3. definition=the actions and activities assigned to or required or expected of a person or group | synonyms=office, part, role | examples=the function of a teacher; the government must do its part
4. definition=a relation such that one thing is dependent on another | examples=height is a function of age; price is a function of supply and demand
5. definition=a formal or official social gathering or ceremony | examples=it was a black-tie function
6. definition=a vaguely specified social event | synonyms=affair, occasion, social occasion, social function | examples=the party was quite an affair; an occasion arranged to honor the president
7. definition=a set sequence of steps, part of larger computer program | synonyms=routine, subroutine, subprogram, procedure

reasoning_content:
1.  **Analyze the context:** The word is "functions" (plural of function). The context is about a calculator program (kalgebra). The user types "functions" or performs calculations into an input field. The text then explains that this input is being converted into MathML.

2.  **Examine the usage:** The user is typing mathematical expressions or operations into the calculator. These expressions are mathematical relationships or operations.

3.  **Evaluate the 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) | synonyms=mathematical function, single-valued function, map, mapping.**
        *   *Relevance:* High. The calculator deals with mathematical input and calculations. "Functions" in this context refers to mathematical functions (e.g., sin(x), x^2).

    *   **2. definition=what something is used for | synonyms=purpose, role, use | examples=the function of an auger is to bore holes; ballet is beautiful but what use is it?**
        *   *Relevance:* Low. While the calculator *has* a function (its purpose), the text says the user types *functions* (the mathematical objects), not "the function of the calculator."

    *   **3. definition=the actions and activities assigned to or required or expected of a person or group | synonyms=office, part, role | examples=the function of a teacher; the government must do its part.**
        *   *Relevance:* Low. This refers to roles or duties, not mathematical input.

    *   **4. definition=a relation such that one thing is dependent on another | examples=height is a function of age; price is a function of supply and demand.**
        *   *Relevance:* High. This is a specific type of mathematical function, closely related to Sense 1.

    *   **5. definition=a formal or official social gathering or ceremony | examples=it was a black-tie function.**
        *   *Relevance:* None.

    *   **6. definition=a vaguely specified social event | synonyms=affair, occasion, social occasion, social function | examples=the party was quite an affair; an occasion arranged to honor the president.**
        *   *Relevance:* None.

    *   **7. definition=a set sequence of steps, part of larger computer program | synonyms=routine, subroutine, subprogram, procedure.**
        *   *Relevance:* Possible, but less likely than Sense 1 or 4. While a calculator uses internal functions/routines, the context specifies the user is typing *functions* (mathematical expressions) into the input field, which are then converted to MathML.

4.  **Compare Sense 1 and Sense 4:**
    *   Sense 1 is the general definition of a mathematical function (a relation/map).
    *   Sense 4 is a specific type of mathematical function (dependence).
    *   Since the context is a general mathematical calculator where users input various mathematical relationships (like $f(x) = x^2$ or $\sin(x)$), Sense 1 provides the broadest and most accurate umbrella definition for the term "functions" in this technical, mathematical context.

5.  **Conclusion:** Sense 1 is the most appropriate fit.


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

Context: kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or <t>do</t> your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML.

Senses:
1. definition=engage in | synonyms=make | examples=make love, not war; make an effort
2. definition=carry out or perform an action | synonyms=perform, execute | examples=John did the painting, the weeding, and he cleaned out the gutters; the skater executed a triple pirouette
3. definition=get (something) done | synonyms=perform | examples=I did my job
4. definition=proceed or get along | synonyms=fare, make out, come, get along | examples=How is she doing in her new job?; How are you making out in graduate school?
5. definition=give rise to; cause to happen or occur, not always intentionally | synonyms=cause, make | examples=cause a commotion; make a stir
6. definition=carry out or practice; as of jobs and professions | synonyms=practice, practise, exercise | examples=practice law
7. definition=be sufficient; be adequate, either in quality or quantity | synonyms=suffice, answer, serve | examples=A few words would answer; This car suits my purpose well
8. definition=create or design, often in a certain way | synonyms=make | examples=Do my room in blue; I did this piece in wood to express my love for the forest
9. definition=behave in a certain manner; show a certain behavior; conduct or comport oneself | synonyms=act, behave | examples=You should act like an adult; Don't behave like a fool
10. definition=spend time in prison or in a labor camp | synonyms=serve | examples=He did six years for embezzlement
11. definition=carry on or function | synonyms=manage | examples=We could do with a little more help around here
12. definition=arrange attractively | synonyms=dress, arrange, set, coif, coiffe, coiffure | examples=dress my hair for the wedding
13. definition=travel or traverse (a distance) | examples=This car does 150 miles per hour; We did 6 miles on our hike every day

reasoning_content:
1.  **Analyze the context:** The phrase is "type your functions or <t>do</t> your calculations."
2.  **Determine the meaning of "do" in this context:** The user is inputting functions or performing calculations. "Do your calculations" means to execute or perform the calculations.
3.  **Examine the senses provided:**
    *   1. engage in / make (e.g., make love) - Incorrect.
    *   2. carry out or perform an action (synonyms: perform, execute) - Matches "perform your calculations."
    *   3. get (something) done (e.g., I did my job) - Possible, but less precise than 'perform' when referring to a specific action like calculation.
    *   4. proceed or get along (e.g., How is she doing?) - Incorrect.
    *   5. give rise to / cause (e.g., cause a commotion) - Incorrect.
    *   6. carry out or practice (as of jobs) - Incorrect (not about a profession).
    *   7. be sufficient (e.g., A few words would answer) - Incorrect.
    *   8. create or design (e.g., Do my room in blue) - Incorrect.
    *   9. behave in a certain manner (e.g., act like an adult) - Incorrect.
    *   10. spend time in prison - Incorrect.
    *   11. carry on or function (e.g., We could do with help) - Incorrect.
    *   12. arrange attractively - Incorrect.
    *   13. travel or traverse - Incorrect.
4.  **Select the best fit:** Sense 2, "carry out or perform an action," is the most accurate definition for "do your calculations."
5.  **Final check:** "Do your calculations" = "Perform your calculations." This aligns perfectly with Sense 2.


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

Context: kalgebra is a MathML based graph calculator. Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your <t>calculations</t>. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML.

Senses:
1. definition=the procedure of calculating; determining something by mathematical or logical methods | synonyms=computation, computing
2. definition=problem solving that involves numbers or quantities | synonyms=computation, figuring, reckoning
3. definition=planning something carefully and intentionally | synonyms=deliberation | examples=it was the deliberation of his act that was insulting

reasoning_content:
1.  **Analyze the Request:** The user wants to know which numbered sense of the word "calculation" (marked as `<t>calculations</t>`) is used in the provided context. The output must be *only* the number.

2.  **Analyze the Context:**
    *   "kalgebra is a MathML based graph calculator."
    *   "...it can now be used by everyone with little mathematical knowledge."
    *   "...you will find an input field to type your functions or do your <t>calculations</t>."
    *   "If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML..."

3.  **Determine the Meaning of "calculations" in Context:**
    *   The context describes a *calculator* program (kalgebra).
    *   Users input functions or perform operations in an input field.
    *   The program processes this input (converts it to MathML) to produce results.
    *   Therefore, "calculations" refers to the *process* of performing mathematical operations or the *act* of computing results.

4.  **Evaluate the Senses:**

    *   **Sense 1:** definition=the procedure of calculating; determining something by mathematical or logical methods | synonyms=computation, computing.
        *   *Match?* Yes. Performing operations in a calculator is a procedure of calculating/computation.

    *   **Sense 2:** definition=problem solving that involves numbers or quantities | synonyms=computation, figuring, reckoning.
        *   *Match?* Plausible, as calculations often solve problems, but Sense 1 focuses more directly on the *procedure* of the machine/software, which is the core function described.

    *   **Sense 3:** definition=planning something carefully and intentionally | synonyms=deliberation | examples=it was the deliberation of his act that was insulting.
        *   *Match?* No. This refers to planning or thought, not mathematical operations.

5.  **Select the Best Fit:** Sense 1 ("the procedure of calculating; determining something by mathematical or logical methods") is the most precise fit for the function of a "graph calculator" where users input functions to be processed.

6.  **Final Output Generation:** Return only the number 1.


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

Context: Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we <t>want</t> to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone.

Senses:
1. definition=feel or have a desire for; want strongly | synonyms=desire | examples=I want to go home now; I want my own room
2. definition=have need of | synonyms=need, require | examples=This piano wants the attention of a competent tuner
3. definition=hunt or look for; want for a particular reason | examples=Your former neighbor is wanted by the FBI; Uncle Sam wants you
4. definition=wish or demand the presence of | examples=I want you here at noon!
5. definition=be without, lack; be deficient in | examples=want courtesy; want the strength to go on living

reasoning_content:
1.  **Analyze the context:** The sentence containing the target word is: "If we <t>want</t> to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML."
2.  **Determine the meaning of "want" in this context:** The phrase "If we want to understand..." means "If we wish to understand," or "If we desire to understand." It expresses a desire or intention to perform an action (understanding).
3.  **Evaluate the provided senses:**
    *   **1. definition=feel or have a desire for; want strongly | synonyms=desire | examples=I want to go home now; I want my own room.** (Matches the meaning of desiring/intending to understand.)
    *   **2. definition=have need of | synonyms=need, require | examples=This piano wants the attention of a competent tuner.** (Implies necessity, not desire/intention.)
    *   **3. definition=hunt or look for; want for a particular reason | examples=Your former neighbor is wanted by the FBI; Uncle Sam wants you.** (Implies being sought or searched for.)
    *   **4. definition=wish or demand the presence of | examples=I want you here at noon!** (Implies demanding presence.)
    *   **5. definition=be without, lack; be deficient in | examples=want courtesy; want the strength to go on living.** (Implies deficiency or lack.)
4.  **Select the best match:** Sense 1 perfectly captures the meaning of desiring or intending to perform an action ("want to understand").
5.  **Format the output:** Return only the number.


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

Context: Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to <t>understand</t> how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone.

Senses:
1. definition=know and comprehend the nature or meaning of | examples=She did not understand her husband; I understand what she means
2. definition=perceive (an idea or situation) mentally | synonyms=realize, realise, see | examples=Now I see!; I just can't see your point
3. definition=make sense of a language | synonyms=read, interpret, translate | examples=She understands French; Can you read Greek?
4. definition=believe to be the case | synonyms=infer | examples=I understand you have no previous experience?
5. definition=be understanding of | synonyms=sympathize, sympathise, empathize, empathise | examples=You don't need to explain--I understand!

reasoning_content:
1.  **Analyze the context:** The sentence is: "If we want to <t>understand</t> how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML."
2.  **Determine the meaning of "understand" in this context:** The speaker is talking about grasping the mechanism or function of the software ("how it works"). They are trying to mentally grasp the process (input -> conversion to MathML).
3.  **Evaluate the senses:**
    *   **Sense 1:** "know and comprehend the nature or meaning of." (e.g., understanding a person or a meaning). This is close, but often implies deep knowledge of the *nature*.
    *   **Sense 2:** "perceive (an idea or situation) mentally | synonyms=realize, realise, see." (e.g., "Now I see!"). This perfectly matches the idea of mentally grasping or realizing how a process functions. The context explicitly suggests the action is equivalent to "realize" ("...the best thing we can do is to realize that our input is being converted...").
    *   **Sense 3:** "make sense of a language | synonyms=read, interpret, translate." (e.g., understanding French). This relates to language comprehension, which is not the primary focus here (the focus is on the *mechanism*).
    *   **Sense 4:** "believe to be the case | synonyms=infer." (e.g., "I understand you have no previous experience?"). This is about accepting a premise or fact.
    *   **Sense 5:** "be understanding of | synonyms=sympathize, sympathise, empathize, empathise." (e.g., "I understand!"). This is about empathy or tolerance.
4.  **Select the best fit:** Sense 2 ("perceive (an idea or situation) mentally | synonyms=realize, realise, see") is the most accurate fit, as the goal is to mentally grasp the operational process ("how it works"), which is synonymous with "realize."
5.  **Final check:** "If we want to *realize* how it works..." -> This matches the context and Sense 2.


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

Context: Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it <t>works</t>, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone.

Senses:
1. definition=exert oneself by doing mental or physical work for a purpose or out of necessity | examples=I will work hard to improve my grades; she worked hard for better living conditions for the poor
2. definition=be employed | synonyms=do work | examples=Is your husband working again?; My wife never worked
3. definition=have an effect or outcome; often the one desired or expected | synonyms=act | examples=The voting process doesn't work as well as people thought; How does your idea work in practice?
4. definition=perform as expected when applied | synonyms=function, operate, go, run | examples=The washing machine won't go unless it's plugged in; Does this old car still run well?
5. definition=shape, form, or improve a material | synonyms=work on, process | examples=work stone into tools; process iron
6. definition=give a workout to | synonyms=exercise, work out | examples=Some parents exercise their infants; My personal trainer works me hard
7. definition=proceed along a path | synonyms=make | examples=work one's way through the crowd; make one's way into the forest
8. definition=operate in a certain place, area, or specialty | examples=She works the night clubs; The salesman works the Midwest
9. definition=proceed towards a goal or along a path or through an activity | examples=work your way through every problem or task; She was working on her second martini when the guests arrived
10. definition=move in an agitated manner | examples=His fingers worked with tension
11. definition=cause to happen or to occur as a consequence | synonyms=bring, play, wreak, make for | examples=I cannot work a miracle; wreak havoc
12. definition=cause to work | synonyms=put to work | examples=he is working his servants hard
13. definition=prepare for crops | synonyms=cultivate, crop | examples=Work the soil; cultivate the land
14. definition=behave in a certain way when handled | examples=This dough does not work easily; The soft metal works well
15. definition=have and exert influence or effect | synonyms=influence, act upon | examples=The artist's work influenced the young painter; She worked on her friends to support the political candidate
16. definition=operate in or through | examples=Work the phones
17. definition=cause to operate or function | examples=This pilot works the controls; Can you work an electric drill?
18. definition=provoke or excite | examples=The rock musician worked the crowd of young girls into a frenzy
19. definition=gratify and charm, usually in order to influence | examples=the political candidate worked the crowds
20. definition=make something, usually for a specific function | synonyms=shape, form, mold, mould, forge | examples=She molded the rice balls carefully; Form cylinders from the dough
21. definition=move into or onto | examples=work the raisins into the dough; the student worked a few jokes into his presentation
22. definition=make uniform | synonyms=knead | examples=knead dough; work the clay until it is soft
23. definition=use or manipulate to one's advantage | synonyms=exploit | examples=He exploit the new taxation system; She knows how to work the system
24. definition=find the solution to (a problem or question) or understand the meaning of | synonyms=solve, work out, figure out, puzzle out, lick | examples=did you solve the problem?; Work out your problems with the boss
25. definition=cause to undergo fermentation | synonyms=ferment | examples=We ferment the grapes for a very long time to achieve high alcohol content; The vintner worked the wine in big oak vats
26. definition=go sour or spoil | synonyms=sour, turn, ferment | examples=The milk has soured; The wine worked
27. definition=arrive at a certain condition through repeated motion | examples=The stitches of the hem worked loose after she wore the skirt many times

reasoning_content:
1.  **Analyze the context:** The sentence is: "If we want to understand how it <t>works</t>, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML."
2.  **Identify the target word:** "works" (in the sense of the system/software).
3.  **Determine the meaning of "works" in this context:** The context refers to how the system (kalgebra) functions or operates when converting input into MathML.
4.  **Examine the senses provided:** I need to find the definition that matches "how the system functions/operates."

    *   1. exert oneself (mental/physical effort) - No.
    *   2. be employed - No.
    *   3. have an effect or outcome; often the one desired or expected (How does your idea work?) - Plausible, but usually refers to the *result* of the action, not the mechanism itself.
    *   4. perform as expected when applied | synonyms=function, operate, go, run (The washing machine won't go unless it's plugged in; Does this old car still run well?) - This perfectly matches the idea of a system operating or functioning correctly.
    *   5. shape, form, or improve a material - No.
    *   6. give a workout to - No.
    *   7. proceed along a path - No.
    *   8. operate in a certain place, area, or specialty - No.
    *   9. proceed towards a goal or along a path or through an activity - No.
    *   10. move in an agitated manner - No.
    *   11. cause to happen or to occur as a consequence - No.
    *   12. cause to work - No.
    *   13. prepare for crops - No.
    *   14. behave in a certain way when handled - No.
    *   15. have and exert influence or effect - No.
    *   16. operate in or through - No.
    *   17. cause to operate or function - No (This is causative, "cause to work").
    *   18. provoke or excite - No.
    *   19. gratify and charm, usually in order to influence - No.
    *   20. make something, usually for a specific function - No.
    *   21. move into or onto - No.
    *   22. make uniform - No.
    *   23. use or manipulate to one's advantage - No.
    *   24. find the solution to (a problem or question) or understand the meaning of (Work out your problems) - This is about solving, not the mechanism of operation.
    *   25. cause to undergo fermentation - No.
    *   26. go sour or spoil - No.
    *   27. arrive at a certain condition through repeated motion - No.

5.  **Conclusion:** Sense 4 ("perform as expected when applied; synonyms=function, operate, go, run") is the correct fit for "how it works" when referring to a technical system.


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

Context: Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the <t>best</t> thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone.

Senses:
1. definition=(superlative of `good') having the most positive qualities | examples=the best film of the year; the best solution
2. definition=(comparative and superlative of `well') wiser or more advantageous and hence advisable | synonyms=better | examples=it would be better to speak to him; the White House thought it best not to respond
3. definition=having desirable or positive qualities especially those suitable for a thing specified | synonyms=good | examples=good news from the hospital; a good report card
4. definition=having the normally expected amount | synonyms=full, good | examples=gives full measure; gives good measure
5. definition=morally admirable | synonyms=good
6. definition=deserving of esteem and respect | synonyms=estimable, good, honorable, respectable | examples=all respectable companies give guarantees; ruined the family's good name
7. definition=promoting or enhancing well-being | synonyms=beneficial, good | examples=an arms limitation agreement beneficial to all countries; the beneficial effects of a temperate climate
8. definition=agreeable or pleasing | synonyms=good | examples=we all had a good time; good manners
9. definition=of moral excellence | synonyms=good, just, upright | examples=a genuinely good person; a just cause
10. definition=having or showing knowledge and skill and aptitude | synonyms=adept, expert, good, practiced, proficient, skillful | examples=adept in handicrafts; an adept juggler
11. definition=thorough | synonyms=good | examples=had a good workout; gave the house a good cleaning
12. definition=with or in a close or intimate relationship | synonyms=dear, good, near | examples=a good friend; my sisters and brothers are near and dear
13. definition=financially sound | synonyms=dependable, good, safe, secure | examples=a good investment; a secure investment
14. definition=most suitable or right for a particular purpose | synonyms=good, right, ripe | examples=a good time to plant tomatoes; the right time to act
15. definition=resulting favorably | synonyms=good, well | examples=it's a good thing that I wasn't there; it is good that you stayed
16. definition=exerting force or influence | synonyms=effective, good, in effect, in force | examples=the law is effective immediately; a warranty good for two years
17. definition=capable of pleasing | synonyms=good | examples=good looks
18. definition=appealing to the mind | synonyms=good, serious | examples=good music; a serious book
19. definition=in excellent physical condition | synonyms=good, sound | examples=good teeth; I still have one good leg
20. definition=tending to promote physical well-being; beneficial to health | synonyms=good, salutary | examples=beneficial effects of a balanced diet; a good night's sleep
21. definition=not forged | synonyms=good, honest | examples=a good dollar bill
22. definition=not left to spoil | synonyms=good, undecomposed, unspoiled, unspoilt | examples=the meat is still good
23. definition=generally admired | synonyms=good | examples=good taste

reasoning_content:
1.  **Analyze the context:** The phrase is "the <t>best</t> thing we can do is to realize that our input is being converted into MathML..."
2.  **Determine the meaning of "best" in this specific context:** The sentence suggests that the most logical, sensible, or most advantageous action is to realize the conversion process. It implies the optimal or most appropriate course of action.
3.  **Examine the senses provided:** I need to find a sense that aligns with "most suitable," "most advantageous," or "most logical/sensible."

    *   1. superlative of `good' having the most positive qualities (e.g., best film). (Possible, but maybe too general.)
    *   2. comparative and superlative of `well' wiser or more advantageous and hence advisable (e.g., it would be better to speak to him). (This strongly matches the idea of the optimal or advisable course of action.)
    *   3. having desirable or positive qualities (synonym: good). (Not superlative.)
    *   4. having the normally expected amount. (Irrelevant.)
    *   ...
    *   14. most suitable or right for a particular purpose (synonyms: good, right, ripe). (This is also a strong candidate, focusing on suitability.)

4.  **Compare Sense 2 and Sense 14:**
    *   Sense 1: "the best thing" = the most positive thing (e.g., the best movie).
    *   Sense 2: "the best thing" = the most advantageous/advisable thing (e.g., it would be best to do X).
    *   Sense 14: "the best thing" = the most suitable/right thing (e.g., the best time to plant).

5.  **Re-evaluate the usage:** "the best thing we can do is to realize..." This structure ("the best thing to do") is a classic usage of the superlative of *well* (Sense 2), meaning the most advisable or prudent action.

6.  **Conclusion:** Sense 2 captures the meaning of "most advisable/optimal course of action" perfectly.


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

Context: Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best <t>thing</t> we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone.

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

reasoning_content:
1.  **Analyze the context:** The sentence containing the target word is: "If we want to understand how it works, the best <t>thing</t> we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML."

2.  **Determine the function of "thing" in this context:** The phrase is "the best thing we can do." Here, "thing" refers to an action, a course of action, or a method.

3.  **Examine the provided senses:**

    *   1. definition=a special situation | examples=this thing has got to end; it is a remarkable thing (Relates to events/situations, but "the best thing to do" is more about the action itself.)
    *   2. definition=an action | examples=how could you do such a thing? (Matches the meaning of "the best thing we can do" - referring to the action/method.)
    *   3. definition=a special abstraction | examples=a thing of the spirit; things of the heart (Too abstract/philosophical.)
    *   4. definition=an artifact | examples=how does this thing work? (Refers to a physical object/creation, not an action.)
    *   5. definition=an event | examples=a funny thing happened on the way to the... (Refers to something that happened, not a recommended action.)
    *   6. definition=a vaguely specified concern | synonyms=matter, affair | examples=several matters to attend to; it is none of your affair (Refers to a topic or issue, not an action.)
    *   7. definition=a statement regarded as an object | examples=to say the same thing in other terms; how can you say such a thing? (Refers to speech/statements.)
    *   8. definition=an entity that is not named specifically | examples=I couldn't tell what the thing was (Too general, doesn't capture the active nature of the phrase.)
    *   9. definition=any attribute or quality considered as having its own existence | examples=the thing I like about her is ... (Refers to a quality.)
    *   10. definition=a special objective | examples=the thing is to stay in bounds (While related to goals, "the best thing we can do" is the *action* to achieve the objective.)
    *   11. definition=a persistent illogical feeling of desire or aversion | examples=he has a thing about seafood; she has a thing about him (Relates to preference/crush.)
    *   12. definition=a separate and self-contained entity (Too broad, usually refers to a noun object.)

4.  **Match the context to the best sense:** "The best thing we can do" clearly refers to the best *action* or *course of action*. Sense 2, "definition=an action," is the most accurate fit.

5.  **Final check:** Context: "the best thing we can do" -> Sense 2: "an action." (Match confirmed.)


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

Context: Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can <t>do</t> is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone.

Senses:
1. definition=engage in | synonyms=make | examples=make love, not war; make an effort
2. definition=carry out or perform an action | synonyms=perform, execute | examples=John did the painting, the weeding, and he cleaned out the gutters; the skater executed a triple pirouette
3. definition=get (something) done | synonyms=perform | examples=I did my job
4. definition=proceed or get along | synonyms=fare, make out, come, get along | examples=How is she doing in her new job?; How are you making out in graduate school?
5. definition=give rise to; cause to happen or occur, not always intentionally | synonyms=cause, make | examples=cause a commotion; make a stir
6. definition=carry out or practice; as of jobs and professions | synonyms=practice, practise, exercise | examples=practice law
7. definition=be sufficient; be adequate, either in quality or quantity | synonyms=suffice, answer, serve | examples=A few words would answer; This car suits my purpose well
8. definition=create or design, often in a certain way | synonyms=make | examples=Do my room in blue; I did this piece in wood to express my love for the forest
9. definition=behave in a certain manner; show a certain behavior; conduct or comport oneself | synonyms=act, behave | examples=You should act like an adult; Don't behave like a fool
10. definition=spend time in prison or in a labor camp | synonyms=serve | examples=He did six years for embezzlement
11. definition=carry on or function | synonyms=manage | examples=We could do with a little more help around here
12. definition=arrange attractively | synonyms=dress, arrange, set, coif, coiffe, coiffure | examples=dress my hair for the wedding
13. definition=travel or traverse (a distance) | examples=This car does 150 miles per hour; We did 6 miles on our hike every day

reasoning_content:
1.  **Analyze the context:** The sentence is: "If we want to understand how it works, the best thing we can <t>do</t> is to realize that our input is being converted into MathML although it is not necessary to know MathML."
2.  **Identify the function of "do":** In this context, "do" means the best action or thing to perform/realize/understand about how the system works. It refers to the action of understanding or realizing the mechanism.
3.  **Examine the senses provided:**
    *   1. engage in / make (e.g., make love, not war) - Doesn't fit the meaning of understanding/realizing.
    *   2. carry out or perform an action (synonyms: perform, execute) - This fits well. "The best thing we can perform/execute is to realize..."
    *   3. get (something) done (synonyms: perform) - This usually requires an object (e.g., "do the laundry"). Here, "do" is followed by an infinitive ("to realize"), making it more about the action itself rather than completing a task.
    *   4. proceed or get along (synonyms: fare, make out) - Doesn't fit.
    *   5. give rise to / cause (synonyms: cause, make) - Doesn't fit.
    *   6. carry out or practice (as of jobs) - Doesn't fit.
    *   7. be sufficient / adequate - Doesn't fit.
    *   8. create or design (synonyms: make) - Doesn't fit.
    *   9. behave in a certain manner - Doesn't fit.
    *   10. spend time in prison - Doesn't fit.
    *   11. carry on or function (synonyms: manage) - Doesn't fit.
    *   12. arrange attractively - Doesn't fit.
    *   13. travel or traverse - Doesn't fit.
4.  **Compare the best fit (Sense 2) with the context:** "The best thing we can do is to realize..." Sense 2 is "carry out or perform an action." This aligns perfectly with the idea that the best action/performance is the realization.
5.  **Conclusion:** Sense 2 is the correct choice.


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

Context: Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to <t>realize</t> that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone.

Senses:
1. definition=be fully aware or cognizant of | synonyms=recognize, recognise, realise, agnize, agnise
2. definition=perceive (an idea or situation) mentally | synonyms=understand, realise, see | examples=Now I see!; I just can't see your point
3. definition=make real or concrete; give reality or substance to | synonyms=realise, actualize, actualise, substantiate | examples=our ideas must be substantiated into actions
4. definition=earn on some commercial or business transaction; earn as salary or wages | synonyms=gain, take in, clear, make, earn, realise | examples=How much do you make a month in your new job?; She earns a lot in her new job
5. definition=convert into cash; of goods and property | synonyms=realise
6. definition=expand or complete (a part in a piece of baroque music) by supplying the harmonies indicated in the figured bass | synonyms=realise

reasoning_content:
1.  **Analyze the context:** The sentence is: "If we want to understand how it works, the best thing we can do is to <t>realize</t> that our input is being converted into MathML although it is not necessary to know MathML."
2.  **Determine the meaning of "realize" in this context:** The speaker is suggesting that the best way to understand the process (how the input is converted to MathML) is to *come to the understanding* or *become aware* of that fact.
3.  **Examine the senses provided:**
    *   1. definition=be fully aware or cognizant of | synonyms=recognize, recognise, realise, agnize, agnise
    *   2. definition=perceive (an idea or situation) mentally | synonyms=understand, realise, see | examples=Now I see!; I just can't see your point
    *   3. definition=make real or concrete; give reality or substance to | synonyms=realise, actualize, actualise, substantiate | examples=our ideas must be substantiated into actions
    *   4. definition=earn on some commercial or business transaction; earn as salary or wages | synonyms=gain, take in, clear, make, earn, realise
    *   5. definition=convert into cash; of goods and property | synonyms=realise
    *   6. definition=expand or complete (a part in a piece of baroque music) by supplying the harmonies indicated in the figured bass | synonyms=realise
4.  **Match the meaning to the senses:**
    *   The meaning is "to understand" or "to become aware of a fact."
    *   Sense 1 ("be fully aware or cognizant of") fits well.
    *   Sense 2 ("perceive (an idea or situation) mentally") also fits very well, especially given the synonym "understand."
5.  **Refine the choice (1 vs 2):**
    *   Context: "...the best thing we can do is to realize that our input is being converted..." (This is about gaining knowledge/understanding.)
    *   Sense 1: "be fully aware or cognizant of." (Focuses on awareness.)
    *   Sense 2: "perceive (an idea or situation) mentally." (Focuses on the cognitive act of understanding.)
    *   Both are strong candidates for the common usage of "realize" meaning "understand." However, Sense 2 explicitly includes "understand" as a synonym and uses the phrase "perceive (an idea or situation) mentally," which perfectly describes the cognitive process of grasping a fact. Sense 1 is slightly broader ("fully aware"). In common usage, when you "realize" something, you are mentally perceiving or understanding it.

6.  **Final Selection:** Sense 2 is the most precise fit for the meaning "to understand/grasp the fact." (Sense 1 is also acceptable, but Sense 2 is often the primary definition used for this specific usage.)

7.  **Format the output:** Return only the number.


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

Context: Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being <t>converted</t> into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone.

Senses:
1. definition=change from one system to another or to a new plan or policy | synonyms=change over | examples=We converted from 220 to 110 Volt
2. definition=change the nature, purpose, or function of something | examples=convert lead into gold; convert hotels into jails
3. definition=change religious beliefs, or adopt a religious belief | examples=She converted to Buddhism
4. definition=exchange or replace with another, usually of the same kind or category | synonyms=change, exchange, commute | examples=Could you convert my dollars into pounds?; He changed his name
5. definition=cause to adopt a new or different faith | examples=The missionaries converted the Indian population
6. definition=score an extra point or points after touchdown by kicking the ball through the uprights or advancing the ball into the end zone | examples=Smith converted and his team won
7. definition=complete successfully | examples=score a penalty shot or free throw
8. definition=score (a spare)
9. definition=make (someone) agree, understand, or realize the truth or validity of something | synonyms=win over, convince | examples=He had finally convinced several customers of the advantages of his product
10. definition=exchange a penalty for a less severe one | synonyms=commute, exchange
11. definition=change in nature, purpose, or function; undergo a chemical change | examples=The substance converts to an acid

reasoning_content:
1.  **Analyze the context:** The sentence is: "If we want to understand how it works, the best thing we can do is to realize that our input is being <t>converted</t> into MathML although it is not necessary to know MathML."
2.  **Identify the action:** The input (presumably a user's function/calculation) is being changed/transformed into MathML.
3.  **Analyze the relationship between the items:** Input (original format) -> Conversion process -> MathML (new format/system).
4.  **Examine the senses of "convert":**

    *   1. change from one system to another or to a new plan or policy (e.g., 220 to 110 Volt). -> *Fits the idea of changing from one system (input format) to another (MathML).*
    *   2. change the nature, purpose, or function of something (e.g., lead into gold; hotels into jails). -> *Possible, but usually implies a fundamental change in identity, not just format translation.*
    *   3. change religious beliefs. -> *Irrelevant.*
    *   4. exchange or replace with another, usually of the same kind or category (e.g., dollars into pounds; change name). -> *This is a strong candidate. It means changing one representation (input) into another (MathML).*
    *   5. cause to adopt a new or different faith. -> *Irrelevant.*
    *   6. score an extra point (sports). -> *Irrelevant.*
    *   7. complete successfully (sports). -> *Irrelevant.*
    *   8. score (a spare) (bowling). -> *Irrelevant.*
    *   9. make (someone) agree/realize (convince). -> *Irrelevant (the input is being converted, not the person).*
    *   10. exchange a penalty for a less severe one. -> *Irrelevant.*
    *   11. change in nature, purpose, or function; undergo a chemical change. -> *This is a state change, not an active translation process, though related to sense 2.*

5.  **Compare the best candidates (1 and 4):**
    *   Sense 1: "change from one system to another." (Input system -> MathML system).
    *   Sense 4: "exchange or replace with another, usually of the same kind or category." (Input representation -> MathML representation).

6.  **Determine the best fit:** When dealing with data or code translation (like converting a user input syntax into a standardized format like MathML), both 1 and 4 apply. However, Sense 4 ("exchange or replace with another") is the most common and precise definition used for data format translation (e.g., converting PDF to DOCX, or a custom syntax to MathML). Sense 1 is also correct, but Sense 4 captures the idea of replacing one representation with an equivalent one.

7.  **Final check:** The input is being *replaced* (in terms of representation) by MathML. Sense 4 is the most direct match for this technical translation process. (Sense 1 is also highly plausible, but 4 is often preferred for technical data conversion.)

8.  **Select the number:** 4.


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

Context: Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not <t>necessary</t> to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone.

Senses:
1. definition=absolutely essential
2. definition=unavoidably determined by prior circumstances | examples=the necessary consequences of one's actions

reasoning_content:
1.  **Analyze the Request:** The user wants to identify which numbered sense of the word "necessary" (marked with `<t></t>`) is used in the provided context. The output must be *only* the number.

2.  **Analyze the Context:**
    *   Sentence containing the target word: "If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not <t>necessary</t> to know MathML."
    *   The phrase is: "it is not necessary to know MathML."

3.  **Analyze the Meaning in Context:**
    *   "It is not necessary to know MathML" means that knowing MathML is not required, not essential, or not mandatory for the user to understand how the system works.

4.  **Analyze the Senses:**
    *   Sense 1: definition=absolutely essential (Implies a strong requirement or necessity.)
    *   Sense 2: definition=unavoidably determined by prior circumstances | examples=the necessary consequences of one's actions (Implies logical inevitability or determinism.)

5.  **Match the Meaning to the Senses:**
    *   The context uses "necessary" in the sense of "required" or "needed."
    *   Sense 1 ("absolutely essential") captures this meaning of requirement/necessity.
    *   Sense 2 ("unavoidably determined") does not fit the context (knowing MathML is not a logical consequence of the system working; it's a matter of prerequisite knowledge).

6.  **Conclusion:** Sense 1 is the correct fit.

7.  **Format the Output:** Return only the number.


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

Context: Although it was initially MathML oriented it can now be used by everyone with little mathematical knowledge. Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to <t>know</t> MathML. I have based the syntax basically on common sense, it should not be hard for anyone.

Senses:
1. definition=be cognizant or aware of a fact or a specific piece of information; possess knowledge or information about | synonyms=cognize, cognise | examples=I know that the President lied to the people; I want to know who is winning the game!
2. definition=know how to do or perform something | examples=She knows how to knit; Does your husband know how to cook?
3. definition=be aware of the truth of something; have a belief or faith in something; regard as true beyond any doubt | examples=I know that I left the key on the table; Galileo knew that the earth moves around the sun
4. definition=be familiar or acquainted with a person or an object | examples=She doesn't know this composer; Do you know my sister?
5. definition=have firsthand knowledge of states, situations, emotions, or sensations | synonyms=experience, live | examples=I know the feeling!; have you ever known hunger?
6. definition=accept (someone) to be what is claimed or accept his power and authority | synonyms=acknowledge, recognize, recognise | examples=The Crown Prince was acknowledged as the true heir to the throne; We do not recognize your gods
7. definition=have fixed in the mind | examples=I know Latin; This student knows her irregular verbs
8. definition=have sexual intercourse with | synonyms=sleep together, roll in the hay, love, make out, make love, sleep with | examples=This student sleeps with everyone in her dorm; Adam knew Eve
9. definition=know the nature or character of | examples=we all knew her as a big show-off
10. definition=be able to distinguish, recognize as being different | examples=The child knows right from wrong
11. definition=perceive as familiar | examples=I know this voice!

reasoning_content:
1.  **Analyze the context:** The sentence is: "although it is not necessary to <t>know</t> MathML."
2.  **Determine the meaning of 'know' in this specific context:** The context implies that the reader does not need to possess information or understanding about what MathML is or how it works to use the software.
3.  **Examine the senses provided:**
    *   1. be cognizant or aware of a fact or a specific piece of information; possess knowledge or information about (e.g., I know that the President lied). -> This fits the idea of possessing information about MathML.
    *   2. know how to do or perform something (e.g., She knows how to knit). -> This relates to skill/ability, not just awareness of the concept.
    *   3. be aware of the truth of something; have a belief or faith in something (e.g., I know that I left the key). -> This relates to certainty/belief.
    *   4. be familiar or acquainted with a person or an object (e.g., She doesn't know this composer). -> This relates to acquaintance.
    *   5. have firsthand knowledge of states, situations, emotions, or sensations (e.g., I know the feeling!). -> This relates to personal experience.
    *   6. accept (someone) to be what is claimed or accept his power and authority (e.g., We do not recognize your gods). -> This relates to acknowledgment/recognition of status.
    *   7. have fixed in the mind (e.g., I know Latin). -> This relates to memorization/mastery of a subject.
    *   8. have sexual intercourse with (e.g., Adam knew Eve). -> Irrelevant.
    *   9. know the nature or character of (e.g., we all knew her as a big show-off). -> This relates to character assessment.
    *   10. be able to distinguish, recognize as being different (e.g., The child knows right from wrong). -> This relates to discrimination.
    *   11. perceive as familiar (e.g., I know this voice!). -> This relates to recognition of familiarity.
4.  **Match the meaning to the best sense:** The phrase "not necessary to know MathML" means "not necessary to be aware of the facts/details/information about MathML." This aligns perfectly with Sense 1.
5.  **Final check:** Sense 1: "be cognizant or aware of a fact or a specific piece of information." (Do you need to be aware of MathML?) Yes.


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

Context: Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have <t>based</t> the syntax basically on common sense, it should not be hard for anyone. I ve looked closely to maxima and maple s syntax so they look very similar.

Senses:
1. definition=use as a basis for; found on | synonyms=establish, ground, found | examples=base a claim on some observation
2. definition=situate as a center of operations | examples=we will base this project in the new lab
3. definition=use (purified cocaine) by burning it and inhaling the fumes | synonyms=free-base

reasoning_content:
1.  **Analyze the request:** The user wants to identify which numbered sense of the word "base" (specifically, the form "based") is used in the provided context. The output must be only the number.

2.  **Analyze the context:** "I have <t>based</t> the syntax basically on common sense, it should not be hard for anyone."

3.  **Determine the meaning of "based" in the context:** The speaker is saying that the design/syntax of the system (kalgebra) was founded or structured using common sense as the foundation.

4.  **Evaluate the senses:**
    *   **Sense 1:** definition=use as a basis for; synonyms=establish, ground, found | examples=base a claim on some observation.
        *   *Match?* Yes. "Based on common sense" means "using common sense as the foundation/basis."
    *   **Sense 2:** definition=situate as a center of operations | examples=we will base this project in the new lab.
        *   *Match?* No. This refers to physical location or operational center.
    *   **Sense 3:** definition=use (purified cocaine) by burning it and inhaling the fumes | synonyms=free-base.
        *   *Match?* No. This is a specific drug reference.

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

6.  **Format the output:** Return only the number.


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

Context: Here's a screenshot of kalgebra main window kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be <t>hard</t> for anyone. I ve looked closely to maxima and maple s syntax so they look very similar.

Senses:
1. definition=not easy; requiring great physical or mental effort to accomplish or comprehend or endure | synonyms=difficult | examples=a difficult task; nesting places on the cliffs are difficult of access
2. definition=dispassionate | examples=took a hard look; a hard bargainer
3. definition=resisting weight or pressure
4. definition=very strong or vigorous | synonyms=knockout, severe | examples=strong winds; a hard left to the chin
5. definition=characterized by effort to the point of exhaustion; especially physical effort | synonyms=arduous, backbreaking, grueling, gruelling, heavy, laborious | examples=worked their arduous way up the mining valley; a grueling campaign
6. definition=produced without vibration of the vocal cords | synonyms=unvoiced, voiceless, surd | examples=unvoiced consonants such as `p' and `k' and `s'
7. definition=(of light) transmitted directly from a pointed light source | synonyms=concentrated
8. definition=(of speech sounds); produced with the back of the tongue raised toward or touching the velum | examples=Russian distinguished between hard consonants and palatalized or soft consonants
9. definition=given to excessive indulgence of bodily appetites especially for intoxicating liquors | synonyms=intemperate, heavy | examples=a hard drinker
10. definition=being distilled rather than fermented; having a high alcoholic content | synonyms=strong | examples=hard liquor
11. definition=unfortunate or hard to bear | synonyms=tough | examples=had hard luck; a tough break
12. definition=dried out | examples=hard dry rolls left over from the day before

reasoning_content:
1.  **Analyze the context:** The phrase is "it should not be <t>hard</t> for anyone."
2.  **Determine the meaning of "hard" in this specific context:** The context discusses syntax and understanding how the system works. The speaker is saying that the syntax should not be difficult or challenging for the user to grasp.
3.  **Match the meaning to the provided senses:**
    *   1. definition=not easy; requiring great physical or mental effort to accomplish or comprehend or endure | synonyms=difficult | examples=a difficult task; nesting places on the cliffs are difficult of access. (This matches the idea of being difficult to comprehend/understand.)
    *   2. definition=dispassionate | examples=took a hard look; a hard bargainer. (Incorrect.)
    *   3. definition=resisting weight or pressure. (Incorrect.)
    *   4. definition=very strong or vigorous | synonyms=knockout, severe | examples=strong winds; a hard left to the chin. (Incorrect.)
    *   5. definition=characterized by effort to the point of exhaustion; especially physical effort | synonyms=arduous, backbreaking, grueling, gruelling, heavy, laborious | examples=worked their arduous way up the mining valley; a grueling campaign. (While related to effort, the context is mental comprehension, not physical exhaustion.)
    *   6. definition=produced without vibration of the vocal cords. (Incorrect - phonetics.)
    *   7. definition=(of light) transmitted directly from a pointed light source. (Incorrect - physics.)
    *   8. definition=(of speech sounds); produced with the back of the tongue raised toward or touching the velum. (Incorrect - phonetics.)
    *   9. definition=given to excessive indulgence of bodily appetites especially for intoxicating liquors. (Incorrect.)
    *   10. definition=being distilled rather than fermented; having a high alcoholic content. (Incorrect.)
    *   11. definition=unfortunate or hard to bear | synonyms=tough | examples=had hard luck; a tough break. (This relates to emotional difficulty, but Sense 1 is a better fit for cognitive difficulty.)
    *   12. definition=dried out. (Incorrect.)
4.  **Select the best fit:** Sense 1 ("not easy; requiring great physical or mental effort to accomplish or comprehend or endure") perfectly captures the meaning of "hard" when referring to the complexity of syntax or understanding.
5.  **Final check:** "it should not be hard for anyone" = "it should not be difficult for anyone." This confirms Sense 1.


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

Context: kalgebra main window kalgebra main window consists in a Console tab, a 2D Graph tab, a 3D Graph tab and a Dictionary tab. Below these tabs you will find an input field to type your functions or do your calculations. If we want to understand how it works, the best thing we can do is to realize that our input is being converted into MathML although it is not necessary to know MathML. I have based the syntax basically on common sense, it should not be hard for anyone. I ve looked <t>closely</t> to maxima and maple s syntax so they look very similar. + - * /: Addition, subtraction, multiplication and division.

Senses:
1. definition=in a close relation or position in time or space | examples=the onsets were closely timed; houses set closely together
2. definition=in an attentive manner | synonyms=close, tight | examples=he remained close on his guard
3. definition=in a close manner | synonyms=intimately, nearly | examples=the two phenomena are intimately connected; the person most nearly concerned

reasoning_content:
1.  **Analyze the request:** The user wants to identify which numbered sense of the word "closely" is used in the provided context. The output must be *only* the number.

2.  **Analyze the context:** "I ve looked <t>closely</t> to maxima and maple s syntax so they look very similar."

3.  **Determine the meaning of "closely" in the context:** The speaker compared the syntax to Maxima and Maple's syntax. The comparison was made to see how similar they are. This implies a detailed, careful examination or comparison.

4.  **Evaluate the senses:**

    *   **Sense 1:** definition=in a close relation or position in time or space | examples=the onsets were closely timed; houses set closely together. (Focuses on proximity/timing/location). *Does not fit the act of examining syntax.*
    *   **Sense 2:** definition=in an attentive manner | synonyms=close, tight | examples=he remained close on his guard. (Focuses on careful attention/vigilance). *This fits the idea of examining something carefully.*
    *   **Sense 3:** definition=in a close manner | synonyms=intimately, nearly | examples=the two phenomena are intimately connected; the person most nearly concerned. (Focuses on near resemblance or deep connection). *While the result (similarity) is related to Sense 3, the action ("looked closely") describes the *manner* of the looking, which is attentive examination.*

5.  **Refine the choice (Sense 2 vs. Sense 3):**
    *   If the sentence were: "The syntax is closely related to Maxima's syntax," Sense 3 would be perfect (meaning "nearly similar").
    *   The sentence is: "I looked closely to Maxima's syntax." The adverb "closely" modifies the verb "looked." It describes *how* the looking was done.
    *   "Looking closely" means "looking attentively" or "examining carefully." This aligns perfectly with Sense 2: "in an attentive manner."

6.  **Conclusion:** Sense 2 is the correct fit.

7.  **Format the output:** Return only the number.