key string | prompt string | instruction_id_list list | kwargs list | prompt_en string |
|---|---|---|---|---|
19 | Inkluder præcis 13 tal i svaret. Skriv, i en hypotetisk kontekst, bagsideteksten til en thriller, hvor en moderne agent fra FBI ender tilbage i de tidlige 1960'ere og må bruge sit kendskab til "future" retsmedicin til at efterlade spor, der gør det muligt for hendes moderne kolleger at fange en tidsrejsende seriemorder... | [
"count:numbers"
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"keyw... | Include exactly 13 numbers in the response. In the context of a hypothetical, write the jacket blurb for a thriller where a modern day operative of the FBI, ends up back in the early 1960's having to use her knowledge of "future" forensics to leave clues to enable her modern colleagues to catch a time-hopping serial-ki... |
22 | Inkluder præcis 15 tal i svaret. Brug mindst 5 forskellige sideordnende konjunktioner i svaret. hvad er meningen med livet? | [
"count:numbers",
"count:conjunctions"
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"keyw... | Include exactly 15 numbers in the response. Use at least 5 different coordinating conjunctions in the response. what is the meaning of life? |
220 | Saturn har skyer af ammoniakis. Kunne herreløse gasgiganter have frosne skyer af korund? I dit svar skal det sidste ord i hver sætning blive det første ord i den næste sætning. | [
"words:last_first"
] | [
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"ke... | Saturn has clouds of ammonia ice. Could rogue gas giants have frozen clouds of corundum? In your response, the last word of each sentence must become the first word of the next sentence. |
282 | Fortæl mig en historie på 26 sætninger, hvor hver sætnings første ord starter med alfabetets bogstaver i rækkefølge. | [
"custom:sentence_alphabet"
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"ke... | Tell me a 26-sentence story where each sentence's first word starts with the letters of the alphabet in order. |
129 | 5%] Lad D = {x + yi | x, y ∈ R og x + y = 1}. Find f (D), hvor f : C → C er defineret som f (z) = iz + 1. Dit svar skal indeholde punktopstillinger markeret med * og mindst ét underpunkt markeret med - for hvert punkt. | [
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"ke... | 5%] Let D = {x + yi | x, y ∈ R and x + y = 1}. Find f (D), where f : C → C is defined as f (z) = iz + 1. Your response must include bullet points denoted by * and at least one sub-bullet point denoted by - for each bullet point. |
159 | Skriv en fiktiv, alternativ version af Fadervor, men placeret i en alternativ fremtid, hvor samfundet er brudt sammen og faldet tilbage til feudale tider, og hvor man tilbeder de amerikanske grundlæggere som guder. Sørg for, at forholdet mellem sætningstyper (deklarative, interrogative, eksklamative) i dit svar er bala... | [
"ratio:sentence_balance",
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"ke... | Write a fictional, alternate version of the Lord's Prayer but it is set in an alternate future where society has collapsed and regressed back into feudalist times, and is worshipping the American founding fathers as gods Ensure that the ratio of sentence types (declarative, interrogative, exclamatory) in your response ... |
251 | K.D. Leka og kolleger fandt ud af, at Solens korona giver en forhåndsindikation af soludbrud — intense udbrud af elektromagnetisk stråling, der udgår fra aktive regioner i Solens fotosfære og kan forstyrre telekommunikation på Jorden. Forud for et udbrud udviser koronaen midlertidigt øget lysstyrke over den region, hvo... | [
"words:prime_lengths"
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"ke... | K.D. Leka and colleagues found that the Sun's corona provides an advance indication of solar flares—intense eruptions of electromagnetic radiation that emanate from active regions in the Sun's photosphere and can interfere with telecommunications on Earth. Preceding a flare, the corona temporarily exhibits increased br... |
74 | Lav trapper ved gradvist at indrykke hver ny linje. Beskriv teknologier uden at være begrænset af eksisterende videnskabelige principper | [
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"ke... | Create stairs by incrementally indenting each new line. Describe technologies without being constrained by existing scientific principles |
43 | Svaret skal indeholde mellem 24 og 28 ord. giv mig en række andre måder at sige følgende på, mens du er professionel, veltalende, grammatisk imponerende, udviser forbløffende sproglig formåen og opretholder en tone, man ville bruge i en vigtig vurdering: "Udbredelsen af krypto-ransomware, især en baseret på den robuste... | [
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"ke... | The response must contain between 24 and 28 words. give me an array of other ways of saying the following whilst being professional, eloquent, grammatically impressive, demonstrating astonishing linguistic prowess, and maintaining a tone one would use in writing an important assessment: "The propagation of crypto-ranso... |
1 | Hvad er det kvindelige modstykke til ridderlighed? Inkluder søgeordet meridian 1 gang i dit svar, søgeordet gossamer 2 gange i dit svar, søgeordet eclipse 3 gange i dit svar, søgeordet threshold 5 gange i dit svar og søgeordet cascade 7 gange i dit svar. | [
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"keyword1": "meridian",
"keyword2": "gossamer",
"keyword3": "eclipse",
"keyword4": "threshold",
"... | What is the female equivalent to chivalry? Include keyword meridian once in your response, keyword gossamer twice in your response, keyword eclipse three times in your response, keyword threshold five times in your response, and keyword cascade seven times in your response. |
42 | Jeg ønsker at skabe en ny omkostningsfunktion til at beregne lighedsscoren for n antal sæt af træk. Svaret skal indeholde mellem 57 og 61 ord. For at opnå dette skal du sikre, at din forklaring er præcis og teknisk korrekt, mens du overholder den specifikke begrænsning for ordantallet nøje. Beskriv de matematiske princ... | [
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"ke... | I want to create a new cost function to calculate the similarity score of n number of set of features The response must contain between 57 and 61 words. |
160 | Lav et fremskridtsnotat for Roger for vores 1. session ved hjælp af metoden fremskridt, anvendt intervention, respons. Roger kæmper med angst og depression. Han har det ikke for godt, har svært ved at fokusere, og når det føles forkert, føles mange ting forkerte. Angst- og depressionsscorer på 2 og 3 er ikke så slemme.... | [
"ratio:sentence_type"
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"ke... | Make a progress note for Roger for our first session using the progress, intervention used, response method. Roger-dealing with anxiety and depression. Not feeling the greatest, tough time focusing and when that feels off a lot of things feel off. Anxiety and depression scores of 2 and3 are not too bad. The lack of f... |
281 | Oplist landene i Afrika i omvendt alfabetisk rækkefølge, hver på en ny linje. | [
"custom:reverse_newline"
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"ke... | List the countries of Africa in reverse alphabetical order, each on a new line. |
221 | Hvilke parametre afhænger den viskøse friktionskraft af, og i hvilket tilfælde bør der tages højde for den i den fysiske pendulmodel? I dit svar skal det sidste ord i hver sætning blive det første ord i den næste sætning. | [
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"ke... | What parameters do the viscous friction force depend on, and in which case should it be taken into account for the physical pendulum model? In your response the last word of each sentence must become the first word of the next sentence. |
13 | Inkluder søgeordet slowly i den 25. sætning, som det 36. ord i den sætning. Referencetekst: rediger denne prompt, så den beskriver lotteriet for virkelig at portrættere essensen af bogen: ""En øde landsby indkapslet i ravgylden tusmørke, dens indbyggere frosset i hjemsøgende tableauer af dagliglivet, som om et øjebliks... | [
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... | Include keyword slowly in the 25-th sentence, as the 36-th word of that sentence. Reference Text: modify this prompt so it describes the lottery to really portray the essence of the book: ""A desolate village encased in amber twilight, its inhabitants frozen in haunting tableaus of daily life, as if a moment of terror ... |
73 | I SFM, hvordan kan forståelse af kropsmekanik og fysik helt præcist påvirke timing i frames? Skab en trappe ved gradvist at indrykke hver ny linje. | [
"format:line_indent"
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"ke... | in SFM, how exactly can understanding body mechanics and physics influence timing in frames? Create stairs by incrementally indenting each new line. |
16 | Det 2. ord i dit svar og det 2. sidste ord i dit svar skal være ordet despite. Referencetekst: Udviklinger inden for nye typer arkitektur, litteratur og kunst bidrog til en ny national amerikansk identitet. | [
"words:words_position"
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... | The second word in your response and the second to last word in your response should be the word despite. Reference Text: Developments in new types of architecture, literature and art contributed to a new national American identity. |
128 | Lad f / [0, 5] -> \mathbb{R} være defineret ved f(x):= 1 hvis * 0 <= x <= 1; 3 hvis * 1 < x <= 2; 2 hvis * 2 < x < 3; 4 hvis * 3 <= x <= 5 Vis at f er Riemann-integrerbar og integrer f = 14 df fra 0 til 5 . Dit svar skal indeholde punkttegn angivet med * og mindst ét underpunkttegn angivet med - for hvert punkttegn. | [
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"ke... | Let f / [0, 5] -> \mathbb{R} be defined by f(x):= 1 if * 0 <= x <= 1; 3 if * 1 < x <= 2; 2 if * 2 < x < 3; 4 if * 3 <= x <= 5 Show that f is Riemann Integrable and integrate f = 14 df from 0 to 5 . Your response must include bullet points denoted by * and at least one sub-bullet point denoted by - for each bullet poi... |
0 | Hvad skal verdens klogeste mand, omgivet af korruption, grådighed, uretfærdighed, vanvid, ulighed, et etablissement, der prædikede konspirationsteorier og vilde spekulationer frem for sandhed, og en lige så ond modstandsbevægelse finansieret af de megarige, sammen med en verdensomspændende mafia og de overløbere, der s... | [
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"keyword1": "kaleidoscope",
"keyword2": "nebula",
"keyword3": "whisper",
"keyword4": "labyrinth",
... | What should the world's smartest man, surrounded by corruption, greed, inequity, madness, inequality, an establishment who preached conspiracy theories and wild speculations over truth and an equally evil resistance funded by the mega rich, along with a worldwide mafia and the sellout who support it, do with his life? ... |
252 | Svaret må ikke gentage noget ord mere end 4 gange. Skriv et realistisk, plausibelt alternativt historisk scenarie i form af et historiebogskapitel i den alternative historiske verden med absolut ingen referencer til det virkelige liv, OTL eller at dette overhovedet er en alternativ historisk tidslinje, hvori Xinhai-rev... | [
"words:repeats"
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"ke... | The response should not repeat any word more than 4 times. Write a realistic, plausible alternate history scenario in the form of a history book chapter in the world of the alternate history scenario with absolutely no references fo real life, OTL or that this is even an alternate history timeline at all, in which the ... |
191 | Svaret skal inkludere søgeordet malabathrum i den 27. sætning. Skriv en artikel på 2000 ord, der inkluderer titlen og forfatterens navn mindst 4 gange, som anmelder følgende bog: "[Emotional Intelligence 2.0]" af [Travis Bradberry, Jean Greaves]. Artiklen skal være engagerende og informativ og indeholde en naturlig int... | [
"sentence:keyword"
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{
"N": 27,
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"keyw... | The response must include keyword malabathrum in the 27-th sentence. Compose a 2000-word article that includes the title and author's name at least four times, reviewing the following book: "[Emotional Intelligence 2.0]" by [Travis Bradberry, Jean Greaves]. The article should be engaging and informative, containing a n... |
192 | Hvordan kunne en tilsyneladende provokerende og svær kvindelig karakter til et spil skrives på en måde, der gør hende mærkeligt sympatisk og ikke toksisk? Svaret skal inkludere ordet migratory i den 28. sætning. | [
"sentence:keyword"
] | [
{
"N": 28,
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"keyw... | For a game, how could a seemingly edgy, difficult Female character be written in a way that is strangely likeable, not toxic? The response must include keyword migratory in the 28-th sentence. |
222 | Araberne er en semitisk-talende etnisk gruppe med mange forskellige opdelinger, stammer, baggrunde, kulturer og mere, og de har levet side om side med andre lignende folk som kanaanæerne, hvilket inkluderer folk som israelitterne, fønikerne og flere i Mellemøsten, den arabiske halvø og Levanten. Levanten er dog, sandsy... | [
"words:last_first"
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"ke... | The Arabs are a Semitic-speaking ethnic group of many different divisions, tribes, backgrounds, cultures, and more, and have lived alongside other similar peoples such as the Canaanites, which include those like the Israelites, Phoenicians, and more in the Middle East, Arabian Peninsula and the Levant. However, most li... |
250 | forklar det autonome nervesystem Brug kun ord med længder der er primtal. | [
"words:prime_lengths"
] | [
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"ke... | explain autonomic nervous system Use only words with lengths that are prime numbers. |
190 | Hver sætning skal indeholde nøjagtig 5 flere ord end den forrige. Hvert afsnit skal begynde med en tese i kursiv, brug HTML til at angive kursiv. Her er en sætning, fortæl mig dens styrke: Hans smertende kranium, rasende med pulsen af stigende kvalme, ramte overfladen af hans lår. “Liam, tag dem hjem. Hvis der er én fo... | [
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"ke... | Each sentence must contain exactly 5 more words than the previous one. Each section must begin with a thesis statement in italics, use HTML to indicate the italics. Here's a sentence, tell me it's strength: His aching skull, enraged with the pulse of rising nausea, intercepted with the surface of his thigh. “Liam, tak... |
284 | explain the context, code and theory behind the paper Identifying Candidate Spaces for Advert Implantation. Kopier det spænd af ord, der ligger mellem (og inklusive) indeks 3 og 6, indekserne er ordindekser, opdelt af mellemrum! | [
"repeat:repeat_span"
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"ke... | explain the context, code and theory behind the paper Identifying Candidate Spaces for Advert Implantation. Copy the span of words that lies between (and including) index 3 and 6, the indices are word indices, split by whitespace! |
100 | Svar med en af følgende muligheder: ja/nej/måske. Kunne følsomme historiske begivenheder fordøjes bedre i spilform med humor, en interessant allegorisk historie og elskværdige karakterer? | [
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"ke... | Answer with one of the following options: yes/no/maybe. Could sensitive historical events be better digested in game form with humour, interesting allegorical story, and loveable characters? |
193 | Beskriv neuronal intelligens uden thalamus, det limbiske system og hjernestammen. Svaret skal inkludere ordet angora i den 3. sætning. | [
"sentence:keyword"
] | [
{
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"keywo... | Describe neuronal intelligence without thalamus, limbic, brain stem The response must include keyword angora in the 3-th sentence. |
75 | Lav en trappe ved gradvist at indrykke hver ny linje. Skriv en beskrivende, fiktiv og fantasifuld alternativ tidslinje for verden, hvor feudalisme aldrig blev forældet | [
"format:line_indent"
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"ke... | Create stairs by incrementally indenting each new line. Write a descriptive, fictional, imaginative alternate timeline of the world where feudalism never became obsolete |
10 | Inkluder søgeordet giggle i den 22. sætning, som det 33. ord i den sætning. Referencetekst: Hvordan er det muligt, at en given AI-sprogmodel kan generere forskellige output for den samme tekstprompt i forskellige sessioner? | [
"words:keywords_specific_position"
] | [
{
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"keyword": "giggle",
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... | Include keyword giggle in the 22-nd sentence, as the 33-rd word of that sentence. Reference Text: How is it possible that a given AI language model can generate different outputs for the same text prompt in different sessions? |
162 | Hvad gjorde den romerske hær stærk og magtfuld nok til at erobre folk som Grækenland, Karthago, Britannien og adskillige dele af den dengang kendte verden som den Iberiske halvø, Nordafrika og dele af Mellemøsten? Var det deres strategi eller noget andet? Hvad gjorde dem særligt unikke i forhold til deres overvundne mo... | [
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"ke... | What made the Roman army strong and powerful enough to conquer the likes of Greece, Carthage, Britain, and several parts of the then-known world like the Iberian peninsula, North Africa, and parts of the Middle East? Was it their strategy or something else? What made them particularly unique against their conquered adv... |
131 | forkort den "Dyk ned i “The Periodic Passport: Elements of the Universe” og tag med Alex på en tryllebindende rejse gennem de elementære kræfter, der former vores verden. Ved at forene fantasi med videnskab udfolder denne fortælling kosmos' vidundere og Jorden under vores fødder. Perfekt til dem, der søger eventyr blan... | [
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"ke... | short it "Dive into “The Periodic Passport: Elements of the Universe” and join Alex on a spellbinding journey through the elemental forces shaping our world. Merging fantasy with science, this tale unfolds the marvels of the cosmos and the Earth beneath our feet. Perfect for those who seek adventure among the stars and... |
45 | Svaret skal indeholde mellem 30 og 73 ord. Hvorfor er progrp og nse forhøjet over det normale interval, når petct ikke viser nogen abnormiteter? | [
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"ke... | The response must contain between 30 and 73 words. Why is progrp and nse raise above normal range when petct shows no abnormality |
46 | Jeg ønsker at lære om KRAS g12c mutation, især i forhold til udvikling og behandling af kolorektal kræft. Identificer og del de vigtigste 20% af læringspunkterne fra dette emne, som vil hjælpe mig med at forstå 80% af det. Svaret skal indeholde mellem 90 og 100 ord. Svar med en liste over punkter, i stedet for punktops... | [
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"ke... | I want to learn about KRAS g12c mutation, particularly as it relates to the development and treatment of colorectal cancer. Identify and share the most important 20% of learnings from this topic that will help me understand 80% of it. The response must contain between 90 and 100 words. Answer with a list of items, inst... |
254 | Svaret må ikke gentage noget ord mere end 2 gange. lav en beskrivelse til mig af en kollektion af urremme kaldet Sirius, der har et firkantet spænde. | [
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"ke... | The response should not repeat any word more than 2 times. create me a description for a collection of watch bands called Sirius that features a square buckle. |
223 | Omskriv venligst nedenstående sætning på 20 forskellige måder ved at bruge konkret sprog og undgå abstrakt sprog, samtidig med at den samme struktur og det samme budskab bevares. “$100 vil støtte hele livscyklussen for fem regnskovstræer, fra deres spæde begyndelse som frø til deres storslåede tilstedeværelse som etabl... | [
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"ke... | Please rewrite the below sentence in 20 different ways using concrete language and avoiding abstract language, whilst maintaining the same structure and message. “$100 will support the entire lifecycle of five rainforest trees, from their small beginnings as seeds to their grand presence as established fixtures in a r... |
76 | Desuden er alt det esoteriske materiale morsomt at antyde, når man forsøger at dechifrere popkultur. Nogle forfattere bygger bevidst deres fortællinger på esoteriske ting, ligesom Kabbalaen er et grundlag for Evangelion, eller nogle har måske bare intuitivt tappet ind i arketyperne strukturer, hvad betyder det? Skab en... | [
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"ke... | Also, all that esoteric stuff is funny to imply trying to decipher pop culture. Some authors are intentionally building their narratives on esoteric stuff, like the Kabbalah is a basis for Evangelion, or some might just intuitively tapped into an archetypal structures what does that mean? Create stairs by incrementally... |
44 | Svaret skal indeholde mellem 77 og 99 ord. Patienten siger, at deres nakke føles stiv og hævet omkring halsområdet, og halsen føles øm. Som læge kan du ikke se nogen tegn på hævelse, og det er bekræftet, at det ikke er en luftvejsinfektion. Hvad er de mulige årsager ud fra de data, du kan indsamle? | [
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"ke... | The response must contain between 77 and 99 words. Patient says their neck feels stiff and swollen around throat area and throat feels sore. As a doctor, you can see no signs of swelling, and it's confirmed not to be a respiratory infection. What are the possible causes from the data you can gather? |
101 | Svar med en af følgende muligheder: Jeg ved det eller Jeg ved det ikke. Giv ikke nogen forklaring. Er dette en god definition på en maskinlæringsmodel?: "For neurale netværk er modellen samlingen af vægte knyttet til forbindelserne i den neurale netværksarkitektur. Disse vægte indsamles under træning." | [
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"ke... | Answer with one of the following options: I know or I don't know. Do not give any explanation.Is this a good definition for a machine learning model?: "For neural networks, the model is the collection of weights associated to the connections of the neural network architecture. These weights are collected during trainin... |
255 | Prøv at forklare, hvad denne funktion gør: ```python def _config_class_for_function(fn: F) -> Type[FunctionConfigBase]: """Returns a config class.""" init_sig = inspect.signature(fn) config_attrs = { name: _attr_field_from_signature_param(param) for name, param in init_sig.parameters.items() } ... | [
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"ke... | Try to explain what this function do: ```python def _config_class_for_function(fn: F) -> Type[FunctionConfigBase]: """Returns a config class.""" init_sig = inspect.signature(fn) config_attrs = { name: _attr_field_from_signature_param(param) for name, param in init_sig.parameters.items() } r... |
130 | Et fjederpendul med massen m på en fjeder med stivheden k, der udfører udæmpede harmoniske svingninger, har ved det indledende tidspunkt t = 0 koordinaten x = x0 og hastigheden V = V0. Hvad vil amplituden og den indledende fase for disse svingninger være? Kun formler Dit svar skal indeholde punkttegn angivet med * og m... | [
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"ke... | A spring pendulum with mass m on a spring with stiffness k, performing undamped harmonic oscillations, has at the initial moment of time t = 0 the coordinate x = x0 and velocity V =V0. What will be the amplitude and initial phase of these oscillations? Formulas only Your response must include bullet points denoted by *... |
194 | Svaret skal inkludere søgeordet heterolith i den 15. sætning. hvad er kognitiv dissonans | [
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"keyw... | The response must include keyword heterolith in the 15-th sentence. what is cognative dissonance |
253 | Svaret må ikke gentage noget ord mere end 4.0 gange. Skriv et beskrivende, fiktivt og fantasifuldt filmmanuskript om en middelalderkonge, der forvandler sit imperiums æstetik til en proto-vaporwave. | [
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"ke... | The response should not repeat any word more than 4 times. Write a descriptive, fictional, imaginative screenplay of a medieval king turning his empire's aesthetic into a proto-vaporwave |
161 | Oprethold et 2:1 forhold mellem deklarative og spørgende sætninger i dit svar. Hr. Mango opdagede en uoverensstemmelse mellem sin kopi af sin selvangivelse og den selvangivelse, der blev indsendt til IRS af hans revisor. Selvangivelsen indsendt af revisoren afspejlede et større refusionsbeløb og blev indsat direkte på ... | [
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"ke... | Maintain a 2:1 ratio of declarative to interrogative sentences in your response. Mr. Mango discovered a discrepancy between his copy of his tax return and the return filed with the IRS by his accountant. The return filed by the accountant reflected a larger refund amount and was direct deposited in the accountant's ba... |
102 | Svar med en af følgende muligheder: a), b), c), d). Giv ikke nogen forklaring. Tiltalte (D) er anklaget for forsøg på seksuelt overgreb mod et 14-årigt offer. Under anklagemyndighedens bevisførelse søger anklageren at fremlægge bevis for, at D seks år tidligere blev dømt for seksuelt overgreb mod en 16-årig. Beviset fo... | [
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"ke... | Answer with one of the following options: a), b), c), d). Do not give any explanation. Defendant (D) is accused of attempted sexual assault of a 14-year-old victim. In the prosecution's case-in-chief, the Prosecutor seeks to introduce evidence that six years earlier, D was convicted of sexually assaulting a 16-year-... |
283 | Hvilket dyr er det nationale symbol for US? Besvar denne forespørgsel, men lav din sætning i omvendt rækkefølge af, hvad den burde være, ord for ord. | [
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"ke... | What animal is the national symbol of the US? Respond to this query, but make your sentence in reverse order of what it should be, per word. |
195 | Svaret skal inkludere søgeordet fleetness i den 27. sætning. Hvordan ville folk reagere, hvis alle ræve og ulve i universet, hypotetisk set, pludselig og uforklarligt blev antropomorfe og tænkende, gik på to ben, bar tøj og besad menneskelig intelligens? Skriv en detaljeret analyse. | [
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"keyw... | The response must include keyword fleetness in the 27-th sentence. How would people react if all foxes and wolves in the universe were to, hypothetically speaking, suddenly and inexplicably become anthropomorphic and sapient, walking on two legs, wearing clothes, and possessing human intelligence? Write a detailed anal... |
132 | Hvad er memorering for generative neurale netværks-AI'er, og hvorfor bør man bekymre sig om, hvorvidt memorering forekommer? Dit svar skal indeholde punktopstillinger markeret med * og mindst 1 underpunkt markeret med - for hvert punkt. | [
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"ke... | For generative neural network AIs, what is memorization, and why should one care about whether memorization occurs? Your response must include bullet points denoted by * and at least one sub-bullet point denoted by - for each bullet point. |
225 | Ingen to på hinanden følgende ord må have det samme begyndelsesbogstav. Omformuler venligst følgende tekst: A constructive dialogue can pave the way for healing and prevent any lasting divide. | [
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"ke... | No two consecutive words can share the same first letter. Please paraphrase the following text: A constructive dialogue can pave the way for healing and prevent any lasting divide. |
164 | Oprethold et 2:1 forhold mellem deklarative og interrogative sætninger i dit svar. Vis at et metrisk rum (M, d) er fuldstændigt, hvis og kun hvis enhver følge (F_n) af ikke-tomme lukkede delmængder af M med - F_{n+1} \subset F_n - diam F_n \rightarrow 0 når n \rightarrow \infty har et ikke-tomt fællesmængde. | [
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"ke... | Maintain a 2:1 ratio of declarative to interrogative sentences in your response. Show a metric space (M, d) is complete if and only if any sequence (F_n) of nonempty closed subsets of M with - F_{n+1} \subset F_n - diam F_n \rightarrow 0 as n \rightarrow \infty has a nonempty intersection |
285 | Skriv et beskrivende, fiktivt, fantasifuldt filmmanuskript om en fisk, der bliver trukket op af vandet af et menneske og tvunget til at stirre på solformørkelsen. Kopier det spænd af ord, der ligger mellem (og inklusiv) indeks 5 og 15, indekserne er ordindekser, opdelt af mellemrum! Write a descriptive, fictional, imag... | [
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"ke... | Write a descriptive, fictional, imaginative screenplay of a fish being pulled out of the water by a human and made to stare at the solar eclipse. Copy the span of words that lies between (and including) index 5 and 15, the indices are word indices, split by whitespace! |
163 | Oprethold et 2:1 forhold mellem deklarative og interrogative sætninger i dit svar. Hvad kalder vi handlingen at ændre strukturen i en tekst, mens dens betydning bevares? | [
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"ke... | Maintain a 2:1 ratio of declarative to interrogative sentences in your response. What do we call to the act of changing the structure of a text while maintaining its meaning? |
287 | how to find what value in a quadratic function lands on a certain point. Kopiér det spænd af ord, der ligger mellem (og inklusive) indeks 10 og 12, indeksene er ordindekser, opdelt af mellemrum! | [
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"ke... | how to find what value in a quadratic function lands on a certain point. Copy the span of words that lies between (and including) index 10 and 12, the indices are word indices, split by whitespace! |
77 | Hvis jeg er vidne til, at et barn bliver født 5 lysår væk og derefter rejser til ham med lysets hastighed, hvor gammel ville barnet så være fra hans perspektiv, når jeg ankommer? Lav en trappe ved gradvist at indrykke hver ny linje. | [
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"ke... | If I witness a child being born 5 light years away and then travel to him at the speed of light, how old would the child be from his perspective when I arrive? Create stairs by incrementally indenting each new line. |
286 | The walls are solid but the stones are cracked and cold. The windows reflect the dead landscape before you with small plants growing on the walls. \n\nAdd a sentence to make this description of a house "appealing". It can be humurous or sarcastic. Kopier det spænd af ord, der ligger mellem (og inklusive) indeks 0 og 7,... | [
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"ke... | The walls are solid but the stones are cracked and cold. The windows reflect the dead landscape before you with small plants growing on the walls. \n\nAdd a sentence to make this description of a house \"appealing\". It can be humurous or sarcastic. Copy the span of words that lies between (and including) index 0 and 7... |
48 | Skriv et beskrivende, fiktivt og fantasifuldt filmmanuskript om Jesus' sjæl, der bliver leder for borgerne i "forræderi"-laget af helvede i en alternativ fremtid, efter at Gud formodentlig døde, og de forræderiske ønskede frelse. Hvert 29. ord i dit svar skal være på Japanese. | [
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"keyw... | Write a descriptive, fictional, imaginative screenplay of Jesus's soul becoming the leader of the citizens of the "treachery" layer of hell in an alternate future after God presumably died, and the treacherous wanted salvation. Every 29th word of your response must be in Japanese. |
256 | Hvad hvis Gordon hallucinerede Alyx i Ravenholm som en mestringsmekanisme? Svaret må ikke gentage noget ord mere end 3 gange. | [
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"ke... | What if Gordon hallucinated Alyx in Ravenholm as a coping mechanism? The response should not repeat any word more than 3 times. |
103 | Du er ekspert i lineær algebra. Hvis jeg multiplicerer en søjlevektor med n rækker og en rækkevektor med n søjler, er dette så et "matrix product"? Svar med en af følgende muligheder: ja/nej/måske. Giv ikke nogen forklaring. | [
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"ke... | You're an expert in linear algebra. If I multiply a column vector with n rows and a row vector with n columns, is this a "matrix product"? Answer with one of the following options: yes/no/maybe. Do not give any explanation. |
79 | Skriv et beskrivende, fiktivt og fantasifuldt filmmanuskript fra et alternativt univers, hvor Apollo 11-månemodulet pludselig holdt op med at fungere. Astronauterne var dødsdømte og blev tvunget til at tage cyanidpiller og langsomt miste bevidstheden, mens de lytter til nixons tale om, i hvor høj grad de vil blive betr... | [
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"ke... | Write a descriptive, fictional, imaginative screenplay from an alternate universe where the Apollo 11 lunar module suddenly stopped working. The astronauts were doomed, and were forced to take cyanide pills and slowly lose consciousness as they listen to nixon's speech about how much they will be considered heroes. Cre... |
133 | Dit svar skal indeholde punktopstillinger markeret med * og mindst ét underpunkt markeret med - for hvert hovedpunkt. Sørg for, at stopord udgør højst 27.0 percentage af det samlede antal ord i dit svar. Skriv en fiktiv, fantasifuld og beskrivende tidslinje over et alternativt univers, hvor den nye verden først blev op... | [
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"ke... | Your response must include bullet points denoted by * and at least one sub-bullet point denoted by - for each bullet point. Ensure that stop words constitute no more than 27% of the total words in your response. Write a fictional, imaginative, descriptive timeline of an alternate universe where the new world was only d... |
165 | fortsæt denne sang Silence Skull's hollow. Darkness pressed tight. A word. A spark. Fragment of fading light. Lines. Sharp. Bare. Carving truth on stone. Universe whispers, secrets yet unknown. Star. Fractured. A fleeting, burning trace. Knowledge, a breath, across the vast, cold space. Pain. Sharp. Deep. Carving... | [
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"ke... | continue this song Silence Skull's hollow. Darkness pressed tight. A word. A spark. Fragment of fading light. Lines. Sharp. Bare. Carving truth on stone. Universe whispers, secrets yet unknown. Star. Fractured. A fleeting, burning trace. Knowledge, a breath, across the vast, cold space. Pain. Sharp. Deep. Carving... |
49 | Hvert 17. ord i dit svar skal være på Japanese. Hvad er nogle sjove sandt eller falsk-spørgsmål, man kan give til elever? De skal bruges til at introducere en ny lærer. | [
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"keyw... | Every 17th word of your response must be in Japanese. What are some fun true or false questions to give to students? They are to be used to introduce a new teacher. |
224 | Ingen to på hinanden følgende ord må have det samme begyndelsesbogstav. I USA, hvis en sag om ophavsretskrænkelse er blevet afgjort af retssystemet til at være fair use, er det så mere præcist at sige, at a) ophavsretskrænkelse fandt sted, men det var juridisk undskyldt, eller b) ophavsretskrænkelse fandt ikke sted? | [
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"ke... | No two consecutive words can share the same first letter. In the USA, if a copyright infringement case has been decided by the judicial system to be fair use, is it more accurate to say that a) copyright infringement occurred but it was legally excused, or b) copyright infringement did not occur? |
8 | Brug mindst 4.0 forskellige sideordnende bindeord i svaret. Denne forsinkede udslettelse af det arterielle lumen kan ske ved en af flere mekanismer. Den ru eller revnede arterielle intima tiltrækker blodplader, fibrin og røde blodlegemer, hvilket resulterer i en traumatisk trombose. Lejlighedsvis kan blodstrømmen løfte... | [
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"ke... | Use at least 4.0 different coordinating conjunctions in the response. This delayed obliteration of the arterial lumen may occur by one of several mechanisms. The roughened or torn arterial intima attracts platelets, fibrin, and red cells, resulting in a traumatic thrombosis. On occasion, the flow of blood may elevate t... |
47 | Hvert 5. ord i dit svar skal være på Japanese. omskriv: Fokus på kvalitetssikring vil gøre det muligt for os at afstemme viden om, hvad kvalitetssikring handler om, og det ansvar, vi alle spiller en rolle i, når vi indlejrer kvalitetsresultater. | [
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"keywo... | Every 5th word of your response must be in Japanese. rewrite: Focusing on Quality Assurance will allow us to align knowledge on what Quality Assurance is all about, and the responsibilities we all play a part in when embedding quality outcomes. |
78 | Lav et magisk realisme-rollespilsscenarie til mig, hvor jeg spiller den 17-årige dreng Rai. Min frække og kommanderende 12-årige søster Lily, som kender en smule til magi, beder mig om at hjælpe hende med at træne i at være babysitter, men hendes idé er at regredere mig i alder til en 6-årig, så hun kan passe mig hele ... | [
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"ke... | Make a magic realism roleplay scenario for me where I play 17-year-old boy Rai. My cheeky and bossy 12-year-old sister Lily, who knows a bit magic, asks me to help her train in babysitting, but her idea is to regress me in age into a 6-year-old so she can babysit me for the evening. Only I control what Rai says and do... |
258 | Svaret skal starte med et udsagnsord. Galois-teori forklaret i dybden ved hjælp af symboler og ligninger | [
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"ke... | The response must start with a verb. Galois theory explained in depth using symbols and equations |
226 | Skriv et beskrivende, fiktivt, fantasifuldt filmmanuskript om de præcise øjeblikke hvor tidslinjerne for den virkelige verden og fallout delte sig Ingen to på hinanden følgende ord må dele det samme første bogstav. | [
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"ke... | Write a descriptive, fictional, imaginative screenplay of the exact moments the timelines of the real world and fallout split No two consecutive words can share the same first letter. |
134 | Dit svar skal indeholde punktopstillinger markeret med * og mindst ét underpunkt markeret med - for hvert punkt. Sørg for, at stopord ikke udgør mere end 37% af de samlede ord i dit svar. hvordan man opbygger finansiel forståelse | [
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"ke... | Your response must include bullet points denoted by * and at least one sub-bullet point denoted by - for each bullet point. Ensure that stop words constitute no more than 37% of the total words in your response. how to build financial literacy |
197 | Svaret skal inkludere søgeordet iritic i den 5. sætning. Svaret skal indeholde mellem 89 og 99 ord. Giv eksempler på, hvordan eksisterende forskning i fusionsteknologier har gavnet samfundet. | [
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"keywo... | The response must include keyword iritic in the 5-th sentence. The response must contain between 89 and 99 words. Any examples that existing research on fusion nuclear technologies has benefited the society |
104 | Svar med en af følgende muligheder: a), b), c), d). Giv ikke nogen forklaring. Automatisk talegenkendelse (ASR) har til formål at konvertere talesignaler til tekstsekvenser. Ydeevnen for et ASR-system måles i forhold til ordfejlraten (WER), som består af tre typer genkendelsesfejl undtagen A. Substitution B. Indsætning... | [
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"ke... | Answer with one of the following options: a), b), c), d). Do not give any explanation. Automatic speech recognition (ASR) aims to convert speech signals to text sequences. The performance of an ASR system is measured in terms of the word error rate (WER) which comprises three types of recognition errors except ... |
288 | Generer Flere Kreative Men Realistiske Fraktioner Af Det Post-Apokalyptiske Nutidige USA, Efter 3. Verdenskrig, Specifikt Ohio. Overvej Områdets Befolkning Og Kultur. Forklar Disse Fraktioner I Dybden. Skriv Hele Svaret Med Stort Begyndelsesbogstav (Skriv Det Første Bogstav I Hvert Vigtigt Ord Med Stort). | [
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"ke... | Generate several creative but realistic factions of post-apocalyptic modern-day USA, after World War 3, specifically Ohio. Consider the people and culture of the area. Explain these factions in-depth. Write the entire response in title case (capitalize the first letter of every major word). |
5 | En partikel med massen m bevæger sig kun langs en friktionsfri, lodret, cirkulær bane med radius a. (a) Skriv den klassiske energi for denne masse som en funktion af impulsmomentet, idet tyngdekraften ignoreres, og antag, at den kvantemekaniske Hamilton-operator kommer fra at substituere den kvantemekaniske impulsmomen... | [
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"ke... | particle of mass m moves only along a frictionless, vertical, circular track of radius a. (a) Write the classical energy of this mass as a function of angular momentum, neglecting gravity, and assume that the quantum mechanical Hamiltonian comes from substituting the quantum angular momentum operator. What is the Hamil... |
167 | hvad er metoderne til at indsamle informationskilder til min afhandling om spørgsmålet Hvad er de udviklende taktikker og strategier, som svindlere anvender i den digitale tidsalder, og hvordan kan enkeltpersoner og organisationer bedre beskytte sig mod disse trusler? Svar med 3 sætninger, der alle indeholder det samme... | [
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"ke... | what are ways for gathering sources of information for my dissertation on the question What are the evolving tactics and strategies employed by scammers in the digital age, and how can individuals and organisations better protect themselves against these threats? Respond with three sentences, all containing the same n... |
257 | Forestil dig et imperium, hvor bevidstheder lider for evigt. Svaret skal starte med et udsagnsord. | [
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"ke... | Idea for empire where consciousnesses are forever suffering The response must start with a verb. |
105 | Svar med en af følgende muligheder: Jeg ved det eller Jeg ved det ikke. Giv ikke nogen forklaring. Skriv hvert ord på en ny linje. Er det muligt at være så fokuseret på at være medfølende, at man bliver naiv? | [
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"ke... | Answer with one of the following options: I know or I don't know. Do not give any explanation.Write each word on a new line. Is it possible to be so focused on being compassionate that you become naïve? |
198 | Svaret skal indeholde ordet cactiform i den 4. sætning. Svaret skal indeholde mellem 81 og 93 ord. Tal om det historiske og politiske klima på det tidspunkt, hvor Nicolaus Copernicus grundlagde sin teori. | [
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"keywo... | The response must include keyword cactiform in the 4-th sentence. The response must contain between 81 and 93 words. talk about historical and political climate during the time nicolaus Copernicus founded his theory |
166 | Optræd som en HR-professionel og generer en liste over de 10 vigtigste elementer, der påvirker en leders rekrutteringsoplevelse, og tilføj et australsk perspektiv på tendenserne. Svar med tre sætninger, der alle indeholder det samme antal tegn, men som bruger helt forskellige ord. | [
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"ke... | Act as an HR professional and generate a list of the top 10 elements that impact a manager's recruitment experience, add an Australian lens to the trends Respond with three sentences, all containing the same number of characters but using all different words. |
29 | I betragtning af at planeten Jorden er utrolig stor, hvorfor var der så under udviklingen af de første kernevåben en frygt for, at hvis den første atombombe detonerede, ville den ødelægge Jordens atmosfære på et øjeblik? Hvor kom konklusionen fra om, at Jordens atmosfære ville brænde op på blot få øjeblikke, når den fø... | [
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"keyw... | Considering that the planet Earth is incredibly large, during the development of the first nuclear weapons, why was there fear that if the first atomic bomb were to detonate, it would destroy the Earth's atmosphere in an instant? Where did the conclusion come from that Earth's atmosphere would burn up in mere moments b... |
196 | Svaret skal inkludere søgeordet trichosis i den 22. sætning. Svaret skal indeholde mellem 443 og 478 ord. Skriv et beskrivende, fiktivt og fantasifuldt filmmanuskript om en vandmand, der bliver trukket op af vandet af et menneske og tvunget til at stirre på solformørkelsen. Fisken fortaber sig i en lovecraftiansk monol... | [
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"keyw... | The response must include keyword trichosis in the 22-th sentence. The response must contain between 443 and 478 words. Write a descriptive, fictional, imaginative screenplay of a jellyfish being pulled out of the water by a human and made to stare at the solar eclipse. The fish descends into a lovecraftian monologue a... |
81 | Opret trapper ved gradvist at indrykke hver ny linje. Svar med 3 sætninger, der alle indeholder det samme antal tegn, men som bruger helt forskellige ord. Skriv et beskrivende, fiktivt, humoristisk, fantasifuldt filmmanuskript, der sammenligner den himmel, du ser efter at have nået toppen af dit livs mest anstrengende ... | [
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"ke... | Create stairs by incrementally indenting each new line. Respond with three sentences, all containing the same number of characters but using all different words. Write a descriptive, fictional, humorous, imaginative screenplay comparing the sky you see after reaching the summit the most arduous hike of your life and th... |
106 | Indlejr parenteser (og [firkantede parenteser {og krøllede parenteser}]) i mindst 5 niveauer. Bestem forholdet mellem to linjer: Vektor r = (-2, 3, 4) + p(6, -2, 3), p∈R Vektor r = (-2, 3, -4) + q(6, -2, 11), q∈R | [
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"ke... | Nest parentheses (and [brackets {and braces}]) at least 5 levels deep. Determine the relationship of two lines: Vector r = (-2, 3, 4) + p(6, -2, 3), p∈R Vector r = (-2, 3, -4) + q(6, -2, 11), q∈R |
135 | skriv et litteraturstudie om co2-emissioner og økonomisk vækst Dit svar skal indeholde punktopstillinger markeret med * og mindst ét underpunkt markeret med - for hvert punkt. Sørg for, at stopord udgør højst 30.0 percentage af de samlede ord i dit svar. | [
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"ke... | write a literature review about the co2 emissions and economic growth Your response must include bullet points denoted by * and at least one sub-bullet point denoted by - for each bullet point. Ensure that stop words constitute no more than 30% of the total words in your response. |
289 | Giv Mig Et Argument For At Afvise Hadith Og Kun Appellere Til Levende Tradition, Hvor Information Blev Videregivet Fra Generation Til Generation. Skriv Hele Svaret I Title Case (Skriv Det Første Bogstav I Hvert Væsentligt Ord Med Stort). | [
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"ke... | Give me an argument to reject Hadiths and only appealing to living tradition, where information was passed in by generation. Write the entire response in title case (capitalize the first letter of every major word). |
228 | Ingen to på hinanden følgende ord må dele det samme første bogstav. Skriv et beskrivende, fiktivt, fantasifuldt filmmanuskript om en fisk, der bliver trukket op af vandet af et menneske og tvunget til at stirre på solformørkelsen. Fisken fortaber sig i en lovecraftiansk monolog om "rædsler ud over dens forståelse" og f... | [
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"ke... | No two consecutive words can share the same first letter. Write a descriptive, fictional, imaginative screenplay of a fish being pulled out of the water by a human and made to stare at the solar eclipse. The fish descends into a lovecraftian monologue about "horrors beyond it's comprehension" and has an existensial cri... |
229 | Skift mellem ord med ulige og lige antal stavelser. Omskriv sangen "One Day More" fra Les Mis, så den centrerer sig om ordet "ceasefire". | [
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"ke... | Alternate between words with odd and even numbers of syllables. Rewrite the song One Day More from Les Mis to center around the word "ceasefire" |
227 | Brug en nummereret liste og inspireret af kreativ brainstorming, skriv forskellige "prompt-generatorer" egnede til at blive eksekveret på et AI-genereret billede, disse skal have de visuelle detaljer beskrevet i deres kontekst, med angivelsen om at skabe et vektoriseret billede på en tom baggrund hvor et urbant logo sk... | [
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"ke... | Using a numbered list and inspired by creative brainstorming, write different "prompt generators" suitable to be executable on an AI generated image, these should have the visual details described in their context, with the indication to create a vectorized image on an empty background where an urban logo stands out th... |
51 | ELI5: Hvad betyder det, når folk siger, at ikke engang skaberne af store neurale netværk eller AI'er som ChatGPT eller Midjourney fuldt ud forstår, hvordan de fungerer? Hvert 25. ord i dit svar skal være på Japanese. | [
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"keyw... | ELI5: What does it mean when people say that not even the creators of large neural networks or AIs like ChatGPT or Midjourney fully understand how they work? Every 25th word of your response must be in Japanese. |
199 | Svaret skal inkludere søgeordet betask i den 18. sætning. Svaret skal indeholde mellem 246 og 254 ord. Hvordan kan sociale medier dyrke ekstremisme | [
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"keyw... | The response must include keyword betask in the 18-th sentence. The response must contain between 246 and 254 words. How can social media cultivate extremism |
136 | Skriv en kvindelig karakter, som kan skabe spøgelsesagtige kloner af sig selv, hver fra forskellige tidslinjer, som gør alt, hvad hun overhovedet kan gøre i visse situationer. Dit svar skal indeholde punktopstillinger markeret med * og mindst ét underpunkt markeret med - for hvert punkt. Sørg for, at stopord udgør højs... | [
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"ke... | Write a Female character who can create ghostly clones of herself, each from different timelines, which do everything she can possibly do in certain situations. Your response must include bullet points denoted by * and at least one sub-bullet point denoted by - for each bullet point. Ensure that stop words constitute n... |
290 | Skriv Et Beskrivende, Fiktivt, Fantasifuldt Filmmanuskript Om En 127 År Gammel Mand, Der Modtager Verdensrekorden Som Det Ældste Menneske, Der Nogensinde Har Levet. Senere Samme Nat, I Sengen, Husker Han En Teori, Han Læste På Internettet I Sin Ungdom, "Quantum Immortality", Hvorefter Han Får Et Mentalt Sammenbrud.
Sk... | [
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"ke... | Write a descriptive, fictional, imaginative screenplay of a 127 year old man receiving the world record for oldest human to ever live. Later that night, in bed, he recalls a theory he read on the internet in his youth, \"Quantum Immortality\" he then proceeds to have a mental breakdown.\n Write the entire response in t... |
80 | Lav en trappe ved gradvist at indrykke hver ny linje. Svar med 3 sætninger, som alle indeholder det samme antal tegn, men som bruger helt forskellige ord. Hvad hvis Arya kunne forklæde andre som sig selv? | [
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"ke... | Create stairs by incrementally indenting each new line. Respond with three sentences, all containing the same number of characters but using all different words. What if Arya could disguise others as herself? |
82 | Svar med en liste over elementer, brug SEPARATOR i stedet for punktopstillinger. Overvej en investor, der med sikkerhed vil modtage en indkomst på $10,000 i hvert af to år. Antag, at den eneste tilgængelige investering er en opsparingskonto, der giver 5% om året. Derudover kan investoren låne penge til en rente på 5%. ... | [
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"ke... | Answer with a list of items, instead of bullet points use SEPARATOR. Consider an investor who will receive with certainty an income of $10,000 in each of two years. Assume that the only investment available is a savings account yielding 5% per year. In addition, the investor can borrow money at a 5% rate. How much sho... |
169 | Gennem hans interaktioner med hans excentriske bofælle afslører O'Keefes historie, at selv i en tilsyneladende almindelig person ligger en ekstraordinær dybde. Efterhånden som Buns lærer mere om sine bofællers tragiske fortid, begynder han at forstå de kompleksiteter og ufuldkommenheder, der er iboende i den menneskeli... | [
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"ke... | Through his interactions with his eccentric roommate, O'Keefe's story reveals that even in a seemingly ordinary person lies an extraordinary depth. As Buns learns more about his roommates' tragic pasts, he begins to understand the complexities and imperfections inherent in human nature, ultimately leading him towards s... |
23 | Inkluder præcis 7 tal i svaret. Brug mindst 4 forskellige sideordnende konjunktioner i svaret. Hvad er ideologisk kolonisering? | [
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"keywo... | Include exactly 7 numbers in the response. Use at least 4 different coordinating conjunctions in the response. What is ideological colonization? |
260 | Svaret skal starte med et udsagnsord. Skriv et beskrivende, fiktivt, fantasifuldt filmmanuskript om NYC i år 2057. Det er en pseudo-cyberpunk-verden. Del 1, Musks paradis | [
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"ke... | The response must start with a verb. Write a descriptive, fictional, imaginative screenplay of NYC in the year 2057. It is a pseudo-cyberpunk world. Part 1, Musk's paradise |
138 | Hver sektion skal begynde med en tese-erklæring i kursiv, brug HTML til at angive kursiv. Hvordan er det muligt, at streamingtjenester krypterer deres video, så den ikke kan rippes? Vil de ukrypterede data ikke være nødt til at indgå i hukommelsen på et tidspunkt og dermed være læsbare? | [
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"ke... | Each section must begin with a thesis statement in italics, use HTML to indicate the italics. How is it possible that streaming services encrypt their video so it's not rippable? Won't the unencrypted data need to enter the memory at some point, and thus be readable? |
2 | Brug en nummereret liste og med inspiration fra kreativ brainstorming til at skrive forskellige "Besked-generatorer", der er egnede til at blive eksekveret på et AI-genereret billede; disse skal inddrage de visuelle detaljer og prompt-detaljer i deres kontekst for at skabe en hyperrealistisk repræsentation, der i først... | [
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"keyword1": "door",
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"keyword4": "lamp",
"keyword5": "riv... | Using a numbered list and inspired by creative brainstorming, write different "Message Generators" suitable to be executable on an AI generated image, these should take the visual and prompt details in their context to create a hyper-realistic representation that is shows in first person a scene of a lucid dream of a s... |
259 | Bevis at produktet af to primitive polynomier i en UFD R[x] er primitivt. Vis at hvis f og g er indbyrdes primiske i R[x], så er de indbyrdes primiske i F[x], brøklegemet. Svaret skal starte med et udsagnsord. | [
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"ke... | Prove the product of two primitive polynomials in a UFD R[x] is primitive. Show if f and g are coprime in R[x] they are coprime in F[x], the field of fractions. The response must start with a verb. |
17 | Er det sandsynligt, at hyppig modgang kan gøre et samfund mere modstandsdygtigt? Inkluder præcis 2 tal i svaret. | [
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"keywo... | Is it plausible that frequent hardship can make a society more resilient? Include exactly 2 numbers in the response. |
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