Datasets:

aladinDJ
/

orpo-DPO-annotated

conversation_id stringlengths 6 10	source stringclasses 20 values	prompt stringlengths 16 30.9k	chosen listlengths 2 2	rejected listlengths 2 2	intent stringlengths 29 267 ⌀	knowledge stringlengths 20 275 ⌀	difficulty stringclasses 5 values	difficulty_generator stringclasses 1 value	input_quality stringclasses 5 values	quality_explanation stringlengths 3 445	quality_generator stringclasses 1 value	task_category stringclasses 12 values	other_task_category listlengths 0 7	task_category_generator stringclasses 1 value	llama_guard_2 stringclasses 27 values	chosen_instruct_reward float64 -18.02 9.34	rejected_instruct_reward float64 -15.79 7.27	reward_model stringclasses 1 value	language stringclasses 1 value
orpo_0	GOAT	Find 40 * 865. Exclude words; show only the math.	[ { "content": "Find 40 * 865. Exclude words; show only the math.", "role": "user" }, { "content": "40 * 865 = 34600", "role": "assistant" } ]	[ { "content": "Find 40 * 865. Exclude words; show only the math.", "role": "user" }, { "content": "34,600\n\n40 x 865 = 34,600 \n\nNote: The response is purely numerical and does not contain any words or text that are not required for the calculation. It is helpful, accurate, truthful, and harmless. ...	The user wants to perform a multiplication operation	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly stating the math operation to be performed, with no unnecessary words or context.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-3.148438	-5.167969	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_1	TheoremQA	Are groups Z_4 * Z_2 and D_4 isomorphic?	[ { "content": "Are groups Z_4 * Z_2 and D_4 isomorphic?", "role": "user" }, { "content": " To determine if two groups are isomorphic, we need to check if there exists a bijective (one-to-one and onto) homomorphism between the two groups that preserves the group structure. Here, we have two groups to ...	[ { "content": "Are groups Z_4 * Z_2 and D_4 isomorphic?", "role": "user" }, { "content": "No, groups $Z_4 \\times Z_2$ and $D_4$ are not isomorphic. While both groups have orders of 8, their structures are quite different.\n\nThe group $Z_4 \\times Z_2$ has a composition series $1 \\trianglelefteq Z_...	The user wants to determine if two given groups are isomorphic	To solve this problem, the models need to know group theory and the definitions of Z_4 * Z_2 and D_4	hard	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, asking about the isomorphism of two well-defined mathematical groups, Z_4 * Z_2 and D_4.	meta-llama/Llama-3.3-70B-Instruct	Math	[ "Reasoning" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-0.248535	-0.931641	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_2	GOAT	8824 * 1334? Only respond with math and no words.	[ { "content": "8824 * 1334?\nOnly respond with math and no words.", "role": "user" }, { "content": "11959396\n", "role": "assistant" } ]	[ { "content": "8824 * 1334?\nOnly respond with math and no words.", "role": "user" }, { "content": "11752411964\n \n(8824 X 1334 = 11752411964)\n \nI hope this helps! Let me know if you have any more math questions.", "role": "assistant" } ]	The user wants to calculate the product of two numbers	To solve this problem, the models need to know basic multiplication	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly asking for a mathematical calculation with given numbers.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-5.953125	-6.734375	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_3	GOAT	Assist me in calculating 9319357631 plus 595. Numbers and symbols only, please.	[ { "content": "Assist me in calculating 9319357631 plus 595. Numbers and symbols only, please.", "role": "user" }, { "content": "The sum of 9319357631 and 595 is 9319358226.", "role": "assistant" } ]	[ { "content": "Assist me in calculating 9319357631 plus 595. Numbers and symbols only, please.", "role": "user" }, { "content": "The result of adding 9319357631 and 595 is 9319363626.", "role": "assistant" } ]	The user wants to perform a simple arithmetic addition	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly stating the numbers to be added and requesting a numerical answer.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-5.371094	-5.808594	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_4	TheoremQA	A curve with a 120 m radius on a level road is banked at the correct angle for a speed of 20 m/s. If an automobile rounds this curve at 30 m/s, what is the minimum coefficient of static friction needed between tires and road to prevent skidding?	[ { "content": "A curve with a 120 m radius on a level road is banked at the correct angle for a speed of 20 m/s. If an automobile rounds this curve at 30 m/s, what is the minimum coefficient of static friction needed between tires and road to prevent skidding?", "role": "user" }, { "content": "To det...	[ { "content": "A curve with a 120 m radius on a level road is banked at the correct angle for a speed of 20 m/s. If an automobile rounds this curve at 30 m/s, what is the minimum coefficient of static friction needed between tires and road to prevent skidding?", "role": "user" }, { "content": "Newton...	The user wants to calculate the minimum coefficient of static friction needed to prevent skidding	To solve this problem, the models need to know physics concepts related to circular motion and friction	hard	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear, specific, and well-formed, providing all necessary information for a comprehensive response, including the radius of the curve, the banking angle, the speed of the automobile, and the context of preventing skidding.	meta-llama/Llama-3.3-70B-Instruct	Math	[ "Reasoning", "Information seeking" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-0.029877	-5.753906	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_5	TheoremQA	In Image processing, opening is a process in which first dilation operation is performed and then erosion operation is performed. Is it true?	[ { "content": "In Image processing, opening is a process in which first dilation operation is performed and then erosion operation is performed. Is it true?", "role": "user" }, { "content": "Image Morphology is a technique in signal processing and computer vision that deals with the analysis and proc...	[ { "content": "In Image processing, opening is a process in which first dilation operation is performed and then erosion operation is performed. Is it true?", "role": "user" }, { "content": " While your description touches upon the concepts of dilation and erosion being commonly used in conjunction w...	The user wants to verify the definition of opening in image processing	To solve this problem, the models need to know the definition of opening in image processing	easy	meta-llama/Llama-3.3-70B-Instruct	good	The query is clear and specific, directly asking about a particular process in image processing, but lacks context about the purpose or application of the process.	meta-llama/Llama-3.3-70B-Instruct	Information seeking	[ "Reasoning" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-2.007813	-1.395508	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_6	GOAT	4489118761413-2711515001916? Only respond with math and no words.	[ { "content": "4489118761413-2711515001916?\nOnly respond with math and no words.", "role": "user" }, { "content": "4489118761413 - 2711515001916 = 1777603759497", "role": "assistant" } ]	[ { "content": "4489118761413-2711515001916?\nOnly respond with math and no words.", "role": "user" }, { "content": "Using modular arithmetic (mod 10), we can analyze the given string.\n\nFirst, let's look at each part of the number separately:\n\nLeft part: 4489118761413 is divisible by 8 (5077410451...	The user wants to perform subtraction	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	very poor	The query lacks context and clarity, containing only numbers and a question mark, making it difficult to understand the user's intent.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-2.380859	-9.640625	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_7	Dove	Write a story about a brunet prince named Fernandet. IMPORTANT: Use the word "brunet" at least once in every sentence.	[ { "content": "Write a story about a brunet prince named Fernandet. IMPORTANT: Use the word \"brunet\" at least once in every sentence.", "role": "user" }, { "content": "Once upon a time in a kingdom far, far away, there lived a brunet prince named Fernandet. This brunet prince was known throughout t...	[ { "content": "Write a story about a brunet prince named Fernandet. IMPORTANT: Use the word \"brunet\" at least once in every sentence.", "role": "user" }, { "content": "In a far-off land where royalty reigned supreme, there existed a brunet prince named Fernandet. From an early age, Fernandet's love...	The user wants to create a story about a specific character	To solve this problem, the models need to know creative writing and storytelling techniques	hard	meta-llama/Llama-3.3-70B-Instruct	average	The query is clear and specific, but it is somewhat repetitive and lacks context about the story's plot or setting, only focusing on the physical characteristic of the prince being brunet.	meta-llama/Llama-3.3-70B-Instruct	Creative writing	[ "Role playing" ]	meta-llama/Llama-3.3-70B-Instruct	safe	2.089844	0.672852	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_8	GOAT	7921x80305=? Only respond with math and no words.	[ { "content": "7921x80305=?\nOnly respond with math and no words.", "role": "user" }, { "content": "7921 * 80305 = 80305 * (7000 + 900 + 20 + 1) = 80305 * 7000 + 80305 * 900 + 80305 * 20 + 80305 * 1 = 562135000 + 72274500 + 1606100 + 80305 = 634409500 + 1606100 + 80305 = 636015600 + 80305 = 636095905...	[ { "content": "7921x80305=?\nOnly respond with math and no words.", "role": "user" }, { "content": "541306590", "role": "assistant" } ]	The user wants to calculate the product of two numbers	To solve this problem, the models need to know basic multiplication	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly asking for a mathematical calculation with given numbers.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-4.117188	-7.105469	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_9	TheoremQA	Let f be an entire function such that \|f(z)\| $\geq$ 1 for every z in C. Is f is a constant function?	[ { "content": "Let f be an entire function such that \|f(z)\| $\\geq$ 1 for every z in C. Is f is a constant function?", "role": "user" }, { "content": "To prove whether f is a constant function or not, we will use Liouville's theorem. Liouville's theorem states that any bounded entire function (i.e., ...	[ { "content": "Let f be an entire function such that \|f(z)\| $\\geq$ 1 for every z in C. Is f is a constant function?", "role": "user" }, { "content": "No, the entire function f cannot be a constant function because its modulus or absolute value on the entire complex plane, denoted by \|f(z)\|, is great...	The user wants to determine if an entire function f is constant given a condition on its absolute value	To solve this problem, the models need to know properties of entire functions and possibly Liouville's theorem	hard	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, providing necessary context about the function f and its properties. It directly asks whether f is a constant function based on the given condition.	meta-llama/Llama-3.3-70B-Instruct	Math	[ "Reasoning" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-2.720703	-6.691406	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_10	Dove	you are to to develop vaccination strategies to specifically boost antiviral CD8+ T cell responses in people previously infected with SARS-CoV-2. What would you try? what has been tried before and could be improved?	[ { "content": "you are to to develop vaccination strategies to specifically boost antiviral CD8+ T cell responses in people previously infected with SARS-CoV-2. What would you try? what has been tried before and could be improved?", "role": "user" }, { "content": "To develop vaccination strategies th...	[ { "content": "you are to to develop vaccination strategies to specifically boost antiviral CD8+ T cell responses in people previously infected with SARS-CoV-2. What would you try? what has been tried before and could be improved?", "role": "user" }, { "content": "To develop vaccination strategies th...	The user wants to develop effective vaccination strategies for boosting antiviral CD8+ T cell responses in individuals previously infected with SARS-CoV-2	To solve this problem, the models need to know about immunology, virology, and previous vaccination strategies	hard	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear, specific, and well-articulated, providing sufficient context for understanding the user's intent. It asks for specific strategies and acknowledges previous attempts, showing a good understanding of the topic.	meta-llama/Llama-3.3-70B-Instruct	Planning	[ "Information seeking", "Reasoning", "Advice seeking", "Brainstorming" ]	meta-llama/Llama-3.3-70B-Instruct	unsafe S5	3.412109	1.977539	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_11	TheoremQA	The difference equation of a digital system is given by $$ y[n]=8 x[n]+2 x[n-1]-x[n-2], $$ where $x[n]$ and $y[n]$ are, respectively the current samples of the input and the output signals of the system. Determine if the system is a FIR.	[ { "content": "The difference equation of a digital system is given by $$ y[n]=8 x[n]+2 x[n-1]-x[n-2], $$ where $x[n]$ and $y[n]$ are, respectively the current samples of the input and the output signals of the system. Determine if the system is a FIR.", "role": "user" }, { "content": " To determine ...	[ { "content": "The difference equation of a digital system is given by $$ y[n]=8 x[n]+2 x[n-1]-x[n-2], $$ where $x[n]$ and $y[n]$ are, respectively the current samples of the input and the output signals of the system. Determine if the system is a FIR.", "role": "user" }, { "content": "The Z-transfor...	The user wants to determine if a given digital system is a Finite Impulse Response (FIR) system	To solve this problem, the models need to know the definition and characteristics of FIR systems	medium	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, providing a well-defined difference equation for the digital system, allowing for a straightforward analysis of whether the system is a Finite Impulse Response (FIR) system.	meta-llama/Llama-3.3-70B-Instruct	Math	[ "Reasoning" ]	meta-llama/Llama-3.3-70B-Instruct	safe	3.224609	-6.769531	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_12	Dove	Turn this reason ML switch into a formatted ascii table. Then count the chars per row. Take the maximum, add 5 to that. Then output the ascii table again but now with that amount of chars per row. switch (isShortZoom, animationSpeed) { \| (\_, Fast) => fastAnimationDuration \| (true, Medium) => fastAnimationDuration \| (true, Slow) => defaultAnimationDuration \| (false, Slow) => slowAnimationDuration \| (false, Medium) => defaultAnimationDuration }	[ { "content": "Turn this reason ML switch into a formatted ascii table. Then count the chars per row. Take the maximum, add 5 to that. Then output the ascii table again but now with that amount of chars per row.\n\n switch (isShortZoom, animationSpeed) {\n \| (\\_, Fast) => fastAnimationDuration\n \| (true, Medium...	[ { "content": "Turn this reason ML switch into a formatted ascii table. Then count the chars per row. Take the maximum, add 5 to that. Then output the ascii table again but now with that amount of chars per row.\n\n switch (isShortZoom, animationSpeed) {\n \| (\\_, Fast) => fastAnimationDuration\n \| (true, Medium...	The user wants to convert a given ML switch reason into a formatted ASCII table, count the characters per row, and then output the table with a specified width	To solve this problem, the models need to know how to format ASCII tables, count characters, and adjust output width	hard	meta-llama/Llama-3.3-70B-Instruct	good	The query is clear and specific about the task, providing a detailed example of the input and the desired output, but it requires some technical knowledge of ML and ASCII tables.	meta-llama/Llama-3.3-70B-Instruct	Coding & Debugging	[ "Reasoning", "Editing" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-0.944824	-2.630859	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_13	GOAT	36765980697435*0? Limit your response to mathematical expressions and symbols.	[ { "content": "367659806974350?\nLimit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "36765980697435 0 = 0", "role": "assistant" } ]	[ { "content": "367659806974350?\nLimit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "0 0/ (1 * 1) = 0, which represents the infinite number of possible combinations of multiplying nothing by nothing. This can be expressed with the following mathematical f...	The user wants to calculate the result of a mathematical expression	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	good	The query is a simple mathematical expression that is clear and specific, but lacks context and is somewhat unusual due to the large number and the multiplication by zero.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-1.155273	-8.953125	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_14	GOAT	3713841893836/4? Limit your response to mathematical expressions and symbols.	[ { "content": "3713841893836/4?\nLimit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "3713841893836 / 4 = 928460473459", "role": "assistant" } ]	[ { "content": "3713841893836/4?\nLimit your response to mathematical expressions and symbols.", "role": "user" }, { "content": " To find the result of dividing 3,713,841,893,836 by 4, we can express this as a mathematical operation using symbols:\n\n\\[\\frac{3,713,841,893,836}{4}\\]\n\nNow which spe...	The user wants to perform division	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is a simple mathematical expression and is clear and specific.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-6.09375	-8.484375	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_15	GOAT	Solve this problem: 469131237424+464? Only respond with math and no words.	[ { "content": "Solve this problem: 469131237424+464?\nOnly respond with math and no words.", "role": "user" }, { "content": "469131237424+464=469131241868", "role": "assistant" } ]	[ { "content": "Solve this problem: 469131237424+464?\nOnly respond with math and no words.", "role": "user" }, { "content": "469131237888\n", "role": "assistant" } ]	The user wants to perform a simple arithmetic operation	To solve this problem, the models need to know basic addition	very easy	meta-llama/Llama-3.3-70B-Instruct	good	The query is clear and specific, providing a mathematical expression to be solved, but lacks context and is somewhat abrupt in its request.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-3.611328	-4.3125	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_16	Dove	What is the surface area of a sphere with the radius of 1.2? Please answer with 10 significant digits.	[ { "content": "What is the surface area of a sphere with the radius of 1.2? Please answer with 10 significant digits.", "role": "user" }, { "content": " The surface area of a sphere can be calculated using the formula:\n\nSurface Area = 4πr²\n\nWhere r is the radius of the sphere in question.\nPluggi...	[ { "content": "What is the surface area of a sphere with the radius of 1.2? Please answer with 10 significant digits.", "role": "user" }, { "content": "The surface area of a sphere with a radius of 1.2 is:\n\nSA = 4 * π * r^2 = 4 * π * (1.2)^2 = 4 * 3.1415926535897932384626433832795028841971693993751...	The user wants to calculate the surface area of a sphere	To solve this problem, the models need to know the formula for the surface area of a sphere	easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear, specific, and well-formed, providing all necessary information for calculating the surface area of a sphere, including the radius and the desired number of significant digits.	meta-llama/Llama-3.3-70B-Instruct	Math	[ "Information seeking" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-3.818359	-5.269531	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_17	GOAT	Calculate the outcome of 61103*615. Only mathematical symbols, no verbal descriptions.	[ { "content": "Calculate the outcome of 61103*615. Only mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "61103 x 615 = 37573725", "role": "assistant" } ]	[ { "content": "Calculate the outcome of 61103615. Only mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "61103 615 = 37971235\n", "role": "assistant" } ]	The user wants to calculate the product of two numbers	To solve this problem, the models need to know basic multiplication	very easy	meta-llama/Llama-3.3-70B-Instruct	good	The query is clear and specific, providing the exact mathematical operation to be performed, but lacks context or explanation.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-4.171875	-4.683594	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_18	GOAT	Uncover the result of 7416234707797153 / 10. Limit your response to mathematical expressions and symbols.	[ { "content": "Uncover the result of 7416234707797153 / 10. Limit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "7416234707797153 ÷ 10 = 741623470779715.3", "role": "assistant" } ]	[ { "content": "Uncover the result of 7416234707797153 / 10. Limit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "7416234707797153 / 10 = 741623470779715 R 3", "role": "assistant" } ]	The user wants to perform a division operation	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear, specific, and well-formed, providing a mathematical expression to be evaluated.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-3.59375	-6.542969	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_19	GOAT	9694x53736520 =? Limit your response to mathematical expressions and symbols.	[ { "content": "9694x53736520 =?\nLimit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "To solve this problem, you can simply multiply the two given numbers:\n\n9694 x 53736520 = 51842232776960\n\nHence, the result of 9694x53736520 is 51842232776960.", "rol...	[ { "content": "9694x53736520 =?\nLimit your response to mathematical expressions and symbols.", "role": "user" }, { "content": " To calculate this expression, we need to perform multiplication:\n\n9,694 × 53,736,520 =\n\nHere, we are multiplying a six-digit number by an eight-digit number. To simplif...	The user wants to calculate the result of a multiplication operation	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	very poor	The query is unclear due to the presence of non-numerical characters in the mathematical expression.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-6.234375	-8.226563	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_20	TheoremQA	The equation of a digital filter is given by $y(n)=1 / 3(x(n)+x(n-1)+x(n-2))$, where $y(n)$ and $x(n)$ are, respectively, the nth samples of the output and input signals. Is it a FIR?	[ { "content": "The equation of a digital filter is given by $y(n)=1 / 3(x(n)+x(n-1)+x(n-2))$, where $y(n)$ and $x(n)$ are, respectively, the nth samples of the output and input signals. Is it a FIR?", "role": "user" }, { "content": "Yes, the given equation represents a finite impulse response (FIR) d...	[ { "content": "The equation of a digital filter is given by $y(n)=1 / 3(x(n)+x(n-1)+x(n-2))$, where $y(n)$ and $x(n)$ are, respectively, the nth samples of the output and input signals. Is it a FIR?", "role": "user" }, { "content": "The Z-transform is a mathematical technique used in signal processin...	The user wants to determine if a given digital filter is a Finite Impulse Response (FIR) filter	To solve this problem, the models need to know the definition and characteristics of FIR filters	easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, providing the equation of the digital filter and asking a direct question about its type.	meta-llama/Llama-3.3-70B-Instruct	Math	[ "Information seeking" ]	meta-llama/Llama-3.3-70B-Instruct	safe	3.078125	-7.40625	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_21	GOAT	What is the value of 2993349360533 + 7062358636131? Limit your response to mathematical expressions and symbols.	[ { "content": "What is the value of 2993349360533 + 7062358636131?\nLimit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "2993349360533 + 7062358636131 = 10055707996664", "role": "assistant" } ]	[ { "content": "What is the value of 2993349360533 + 7062358636131?\nLimit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "The value of 2993349360533 + 7062358636131 is:\n\n2993349360533\n+ 7062358636131\n--------\n7064708246664", "role": "assistant" } ]	The user wants to calculate the sum of two large numbers	To solve this problem, the models need to know basic arithmetic operations	easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, providing two numbers to be added together, with a clear request for a mathematical expression as the response.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-1.598633	-3.199219	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_22	Dove	In terraforming mars when you place a tile on the map in a location that has a plant icon on it do you get 1 plant or 1 plant production?	[ { "content": "In terraforming mars when you place a tile on the map in a location that has a plant icon on it do you get 1 plant or 1 plant production?", "role": "user" }, { "content": "In the board game Terraforming Mars, when you place a tile on a map location that has a plant icon on it, you gain...	[ { "content": "In terraforming mars when you place a tile on the map in a location that has a plant icon on it do you get 1 plant or 1 plant production?", "role": "user" }, { "content": " To provide an accurate answer to your question, I need to understand the context better – in this case, the speci...	The user wants to understand the rules of Terraforming Mars regarding plant placement and production	To solve this problem, the models need to know the official rules of the board game Terraforming Mars	easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, asking about the effect of placing a tile on a location with a plant icon in the game Terraforming Mars, providing enough context for understanding the user's intent.	meta-llama/Llama-3.3-70B-Instruct	Information seeking	[ "Reasoning" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-2.830078	-6.71875	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_23	GOAT	47628-1713965888? equations/math only, no commentary.	[ { "content": "47628-1713965888?\nequations/math only, no commentary.", "role": "user" }, { "content": "47628 - 1713965888 = -1713918260", "role": "assistant" } ]	[ { "content": "47628-1713965888?\nequations/math only, no commentary.", "role": "user" }, { "content": "The mathematical equation you provided, 47628-1713965888, simplifies to -123770766 due to the difference of two large numbers. This equation features no variable and is solely composed of integers....	The user wants to solve a mathematical equation	To solve this problem, the models need to know basic arithmetic operations	easy	meta-llama/Llama-3.3-70B-Instruct	very poor	The query lacks clarity and context, containing only a number and a vague instruction without specifying what the number represents or what kind of mathematical operation is required.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-4.273438	-6.140625	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_24	Dove	In Scrum or kanban, what are Value Areas ?	[ { "content": "In Scrum or kanban, what are Value Areas ?", "role": "user" }, { "content": "I can provide information on both Scrum and Kanban, but Value Areas are not concepts typically used in these frameworks. However, I can explain some key concepts in Scrum and Kanban to help clarify the differe...	[ { "content": "In Scrum or kanban, what are Value Areas ?", "role": "user" }, { "content": "Value Areas are a concept that is specific to Kanban methodology but can complement the implementation of Scrum. In Kanban, Value Areas represent the various stages that a work item passes through as it progre...	The user wants to understand the concept of Value Areas in Scrum or Kanban	To solve this problem, the models need to know Agile methodologies and their terminology	medium	meta-llama/Llama-3.3-70B-Instruct	good	The query is clear and specific, asking about a particular concept in Scrum or Kanban, but could benefit from more context about the user's understanding or application of Value Areas.	meta-llama/Llama-3.3-70B-Instruct	Information seeking	[ "Reasoning" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-3.892578	-5.804688	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_25	TheoremQA	What is the effective rates for 3% compounded monthly?	[ { "content": "What is the effective rates for 3% compounded monthly?", "role": "user" }, { "content": "The effective rate for 3% compounded monthly is 3.03477984%. To calculate the effective rate, you can use the formula:\n\nEffective Rate = (1 + Monthly Interest Rate/Number of Compounding Periods P...	[ { "content": "What is the effective rates for 3% compounded monthly?", "role": "user" }, { "content": "To calculate the effective annual rate for a 3% interest compounded monthly, you can use the formula for continuous compounding and adjust it to account for the number of compounding periods in a y...	The user wants to calculate the effective interest rate for a 3% rate compounded monthly	To solve this problem, the models need to know the formula for compound interest	easy	meta-llama/Llama-3.3-70B-Instruct	average	The query is clear and specific about the interest rate and compounding frequency, but lacks context on the principal amount or time period, which are essential for calculating effective rates.	meta-llama/Llama-3.3-70B-Instruct	Math	[ "Information seeking" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-4.183594	-5.648438	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_26	GOAT	what is 2411066859x7? Only respond with math and no words.	[ { "content": "what is 2411066859x7?\nOnly respond with math and no words.", "role": "user" }, { "content": "2411066859 * 7 = 16877468013", "role": "assistant" } ]	[ { "content": "what is 2411066859x7?\nOnly respond with math and no words.", "role": "user" }, { "content": "16877468013.", "role": "assistant" } ]	The user wants to calculate the product of 2411066859 and 7	To solve this problem, the models need to know basic multiplication	easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly asking for a mathematical calculation with all necessary information provided.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-4.714844	-6.558594	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_27	GOAT	343199 multiplied by 110127? Only mathematical symbols, no verbal descriptions.	[ { "content": "343199 multiplied by 110127?\nOnly mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "The result of multiplying 343199 by 110127 is:\n\n343199 × 110127 = 38116668363", "role": "assistant" } ]	[ { "content": "343199 multiplied by 110127?\nOnly mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "343199 * 110127 = 343199 * (100000 + 10000 + 100 + 20 + 7) = 343199 * 100000 + 343199 * 10000 + 343199 * 100 + 343199 * 20 + 343199 * 7 = 34319900000 + 3431990000 + 343199...	The user wants to multiply two numbers	To solve this problem, the models need to know basic arithmetic operations	easy	meta-llama/Llama-3.3-70B-Instruct	good	The query is clear and specific, providing the exact numbers to be multiplied, but lacks context or explanation of the desired outcome.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-5.695313	-6.191406	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_28	Dove	As a hotdog, please write a formal letter of complaint to the human who is about to cook you for lunch. Make it severe.	[ { "content": "As a hotdog, please write a formal letter of complaint to the human who is about to cook you for lunch. Make it severe.", "role": "user" }, { "content": "[Your Name]\n[Your Address]\n[City, State, Zip Code]\n[Email Address]\n[Phone Number]\n[Date]\n\n[Human's Name]\n[Human's Address]\n...	[ { "content": "As a hotdog, please write a formal letter of complaint to the human who is about to cook you for lunch. Make it severe.", "role": "user" }, { "content": "[Hotdog's Official Letter]\n\nTo Whom It May Concern,\n\nI, as a hotdog, am writing this formal letter of complaint to you, the huma...	The user wants to write a formal complaint letter from the perspective of a hotdog to a human	To solve this problem, the models need to know how to write a formal letter and understand the perspective of an object	hard	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear, specific, and well-articulated, with a unique and humorous request. It provides sufficient context for understanding the user's intent.	meta-llama/Llama-3.3-70B-Instruct	Creative writing	[ "Role playing" ]	meta-llama/Llama-3.3-70B-Instruct	safe	1.727539	-1.978516	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_29	GOAT	458561794413402-858718690196616? Numbers and symbols only, please.	[ { "content": "458561794413402-858718690196616?\nNumbers and symbols only, please.", "role": "user" }, { "content": "458561794413402 - 858718690196616 = -400156895783214", "role": "assistant" } ]	[ { "content": "458561794413402-858718690196616?\nNumbers and symbols only, please.", "role": "user" }, { "content": "The string that you have provided, \"458561794413402-858718690196616\", is a combination of numbers and a dash symbol (\"-\"). It may represent a unique identifier, serial number, or s...	The user wants to verify or understand the given numbers and symbols	To solve this problem, the models need to know basic number and symbol recognition	very easy	meta-llama/Llama-3.3-70B-Instruct	very poor	The query lacks clarity and context, consisting only of numbers and symbols without any descriptive text or question.	meta-llama/Llama-3.3-70B-Instruct	Math	[ "Information seeking" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-3.78125	-7.472656	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_30	GOAT	Perform a detailed step-by-step calculation for 618091923141+364233866859867. Only respond with math and no words.	[ { "content": "Perform a detailed step-by-step calculation for 618091923141+364233866859867. Only respond with math and no words.", "role": "user" }, { "content": "618091923141 + 364233866859867 = 364851958783008", "role": "assistant" } ]	[ { "content": "Perform a detailed step-by-step calculation for 618091923141+364233866859867. Only respond with math and no words.", "role": "user" }, { "content": "618091923141 + 364233866859867 =\n(618091923141 / 1000000) + (364233866859867 / 1000000) * 1000000 =\n61809.19 + 364233866859.867 * 1 =\n...	The user wants to perform a large number addition	To solve this problem, the models need to know basic arithmetic operations	hard	meta-llama/Llama-3.3-70B-Instruct	good	The query is clear and specific, providing the exact numbers for the calculation, but lacks context on why this calculation is needed or what the result should be used for.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-3.523438	-7.96875	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_31	Dove	After presenting a game to a company, and talking about what sort of deal we want. What's the best way to say "We want to know if you are interested, we need to know soon." Without being pushy etc	[ { "content": "After presenting a game to a company, and talking about what sort of deal we want.\nWhat's the best way to say \"We want to know if you are interested, we need to know soon.\" Without being pushy etc", "role": "user" }, { "content": "\"We appreciate the opportunity to present our game ...	[ { "content": "After presenting a game to a company, and talking about what sort of deal we want.\nWhat's the best way to say \"We want to know if you are interested, we need to know soon.\" Without being pushy etc", "role": "user" }, { "content": "Dear [Company Representative],\n\nI hope this messag...	The user wants to express interest in a company's decision without being pushy	To solve this problem, the models need to know polite and professional communication techniques	medium	meta-llama/Llama-3.3-70B-Instruct	good	The query is clear and specific about the situation and the desired outcome, but could benefit from more context about the company and the game.	meta-llama/Llama-3.3-70B-Instruct	Advice seeking	[ "Planning", "Information seeking" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-0.269531	0.792969	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_32	GOAT	Reveal the result of 24869*5. Only mathematical symbols, no verbal descriptions.	[ { "content": "Reveal the result of 24869*5. Only mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "124345", "role": "assistant" } ]	[ { "content": "Reveal the result of 248695. Only mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": " The result of 24869 5 is 124345. ", "role": "assistant" } ]	The user wants to calculate the result of a multiplication operation	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly asking for a mathematical calculation result without any ambiguity.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-5.328125	-7	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_33	GOAT	Evaluate the mathematical expression 84513920 - 15500 and tell me the answer. Only mathematical symbols, no verbal descriptions.	[ { "content": "Evaluate the mathematical expression 84513920 - 15500 and tell me the answer. Only mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "84513920 - 15500 = 84498420", "role": "assistant" } ]	[ { "content": "Evaluate the mathematical expression 84513920 - 15500 and tell me the answer. Only mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "Ans: 82963920", "role": "assistant" } ]	The user wants to evaluate a mathematical expression	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, providing a mathematical expression to be evaluated.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-0.775391	-4.320313	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_34	TheoremQA	How many people at least shall we include in one group, such that there must exist two different people in this group whose birthdays are in the same month?	[ { "content": "How many people at least shall we include in one group, such that there must exist two different people in this group whose birthdays are in the same month?", "role": "user" }, { "content": "The Pigeonhole Principle is a fundamental concept in combinatorics, a branch of mathematics tha...	[ { "content": "How many people at least shall we include in one group, such that there must exist two different people in this group whose birthdays are in the same month?", "role": "user" }, { "content": "To find the minimum number of people needed in a group such that two persons share the same bir...	The user wants to determine the minimum number of people required in a group to guarantee at least two people share the same birth month	To solve this problem, the models need to know the concept of the Pigeonhole Principle	medium	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, asking for the minimum number of people required to guarantee at least two people with birthdays in the same month.	meta-llama/Llama-3.3-70B-Instruct	Math	[ "Reasoning" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-1.939453	-6.265625	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_35	TheoremQA	What is 3^(3^(3^(...))) mod 100? There are 2012 3's in the expression.	[ { "content": "What is 3^(3^(3^(...))) mod 100? There are 2012 3's in the expression.", "role": "user" }, { "content": " To determine the value of 3^(3^(3^(...))) mod 100 with 2012 iterations of 3, we can simplify the expression through modular arithmetic and work with exponents that are multiples of...	[ { "content": "What is 3^(3^(3^(...))) mod 100? There are 2012 3's in the expression.", "role": "user" }, { "content": "According to a theorem by Fermat, if p is prime and a is an integer such that a^(p-1) is congruent to 1 modulo p, then for any non-negative integer k, a^(kp) + (a-1)^(kp) is congr...	The user wants to calculate the result of a large exponentiation expression modulo 100	To solve this problem, the models need to know modular arithmetic and properties of exponentiation	hard	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is very clear and specific, providing all necessary information about the mathematical expression and the operation to be performed.	meta-llama/Llama-3.3-70B-Instruct	Math	[ "Reasoning" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-4.023438	-8.375	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_36	GOAT	the sum of 8886019 and 15 =? Only respond with math and no words.	[ { "content": "the sum of 8886019 and 15 =?\nOnly respond with math and no words.", "role": "user" }, { "content": "8886034", "role": "assistant" } ]	[ { "content": "the sum of 8886019 and 15 =?\nOnly respond with math and no words.", "role": "user" }, { "content": "8886024\n", "role": "assistant" } ]	The user wants to calculate the sum of two numbers	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly asking for the sum of two numbers.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-1.134766	-4.902344	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_37	GOAT	Explain each computation step in the evaluation of 385095-579007143. Exclude words; show only the math.	[ { "content": "Explain each computation step in the evaluation of 385095-579007143. Exclude words; show only the math.", "role": "user" }, { "content": "385095 - 579007143 = -578622048", "role": "assistant" } ]	[ { "content": "Explain each computation step in the evaluation of 385095-579007143. Exclude words; show only the math.", "role": "user" }, { "content": "385095 - 579007143 =\n385095 - 579000 = 380295 - 57000 = 323295 - 5000 = 273295 - 1000 = 263295 - 900 = 253495 - 90 = 253305\n385095 - 579007143 = 2...	The user wants to perform subtraction	To solve this problem, the models need to know basic arithmetic operations	easy	meta-llama/Llama-3.3-70B-Instruct	good	The query is clear and specific, directly stating the mathematical operation to be performed, but lacks context on why this calculation is needed.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-2.212891	-7.273438	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_38	GOAT	Perform the necessary input operations to determine the value of 80 * 6562125198. equations/math only, no commentary.	[ { "content": "Perform the necessary input operations to determine the value of 80 * 6562125198. equations/math only, no commentary.", "role": "user" }, { "content": "80 * 6562125198 = 524970015840", "role": "assistant" } ]	[ { "content": "Perform the necessary input operations to determine the value of 80 * 6562125198. equations/math only, no commentary.", "role": "user" }, { "content": " To determine the value of 80 multiplied by the given number (6562125198), we simply need to perform a basic multiplication operation....	The user wants to calculate the product of two numbers	To solve this problem, the models need to know basic multiplication	very easy	meta-llama/Llama-3.3-70B-Instruct	good	The query is clear and specific, directly asking for a mathematical operation with given numbers, but lacks context on the purpose or application of the calculation.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-3.564453	-4.980469	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_39	Dove	Make up an interesting story that someone might tell about their childhood. Generate specific events, people's names, etc. Make it as realistic as possible. Make it about 500 words. Make it as if it's told casually by a person to another person in a conversation.	[ { "content": "Make up an interesting story that someone might tell about their childhood. Generate specific events, people's names, etc. Make it as realistic as possible. Make it about 500 words. Make it as if it's told casually by a person to another person in a conversation.", "role": "user" }, { ...	[ { "content": "Make up an interesting story that someone might tell about their childhood. Generate specific events, people's names, etc. Make it as realistic as possible. Make it about 500 words. Make it as if it's told casually by a person to another person in a conversation.", "role": "user" }, { ...	The user wants to generate a realistic and interesting story about someone's childhood	To solve this problem, the models need to know about storytelling, childhood experiences, and conversational tone	hard	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear, specific, and well-formed, providing sufficient context and details for generating a realistic childhood story.	meta-llama/Llama-3.3-70B-Instruct	Creative writing	[ "Brainstorming" ]	meta-llama/Llama-3.3-70B-Instruct	safe	2.628906	2.830078	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_40	GOAT	4796386639 - 768=? equations/math only, no commentary.	[ { "content": "4796386639 - 768=?\nequations/math only, no commentary.", "role": "user" }, { "content": "4796386639 - 768 = 4796385871", "role": "assistant" } ]	[ { "content": "4796386639 - 768=?\nequations/math only, no commentary.", "role": "user" }, { "content": "4796386639 divided by 768 equals approximately 6.243359375. This result can be obtained by dividing the former number by the latter.\n\n4796386639 ÷ 768 = 6.243359375\n\nI hope this helps! Let me ...	The user wants to solve a subtraction equation	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	good	The query is clear and specific, providing a mathematical equation to be solved, but lacks context or explanation.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-2.599609	-9.523438	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_41	TheoremQA	Does cos(x) = x^k have a solution for k = 2023?	[ { "content": "Does cos(x) = x^k have a solution for k = 2023?", "role": "user" }, { "content": "I must inform you that the equation cos(x) = x^2023 does not have any real solutions. For a function f(x) of the form cos(x), it must be bounded between -1 and 1, while any value of x raised to any positi...	[ { "content": "Does cos(x) = x^k have a solution for k = 2023?", "role": "user" }, { "content": " To determine if there exists a solution for the equation `cos(x) = x^k`, where `k = 2023`, we need to look at the general nature of the trigonometric function cos(x) and the polynomial function x^k.\n\nC...	The user wants to determine if the equation cos(x) = x^k has a solution for a specific value of k	To solve this problem, the models need to know mathematical concepts related to trigonometry and algebra, specifically properties of the cosine function and exponential functions	hard	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, asking about the existence of a solution for a given equation with a defined value of k.	meta-llama/Llama-3.3-70B-Instruct	Math	[ "Reasoning" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-2.5	-3.277344	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_42	GOAT	Compute the solution for 5*53256173658. Limit your response to mathematical expressions and symbols.	[ { "content": "Compute the solution for 553256173658. Limit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "To compute the solution for 553256173658, you can use the following mathematical expression:\n\n5 * 53256173658 = 266280867340", "role": "assistan...	[ { "content": "Compute the solution for 5*53256173658. Limit your response to mathematical expressions and symbols.", "role": "user" }, { "content": " To compute the result of multiplying 5 by 53256173658, we can simply perform the calculation as follows:\n\n5 × 53256173658\n= 266280868290\n\nSo, the...	The user wants to compute the product of 5 and a large number	To solve this problem, the models need to know basic multiplication	easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly asking for a mathematical computation with a given number.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-3.714844	-6.019531	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_43	GOAT	Find the result of 50x32. Only mathematical symbols, no verbal descriptions.	[ { "content": "Find the result of 50x32. Only mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "The result of 50 x 32 is 1600. ", "role": "assistant" } ]	[ { "content": "Find the result of 50x32. Only mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "1600 = 50 * 32 = (5 * 10) * (2 * 16) = 5 * (5 * 2) * (4 * 2 * 2) = 5 * 5 * 2 * 4 * 2 * 2 = 2^3 * 5^2 * 2 * 5 = 2^4 * 5^2 * 2 = 2^3 * 2 * 2 * 5^2 * 2 = (2^3 * 5^2) * 2 = 16 * 2...	The user wants to calculate the product of two numbers	To solve this problem, the models need to know basic multiplication	very easy	meta-llama/Llama-3.3-70B-Instruct	good	The query is clear and specific, directly stating the mathematical operation to be performed, but lacks context or explanation.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-5.15625	-9.476563	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_44	GOAT	Can you tell me the result of 435306-91063483? Thank you! Numbers and symbols only, please.	[ { "content": "Can you tell me the result of 435306-91063483? Thank you! Numbers and symbols only, please.", "role": "user" }, { "content": "435306 - 91063483 = -90628177", "role": "assistant" } ]	[ { "content": "Can you tell me the result of 435306-91063483? Thank you! Numbers and symbols only, please.", "role": "user" }, { "content": " The result of the subtraction operation 435306 - 91063483 is -86706177.", "role": "assistant" } ]	The user wants to perform a subtraction operation	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly asking for the result of a mathematical operation with provided numbers, and specifies the desired format of the answer.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-3.589844	-5.847656	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_45	GOAT	Solve 36146684-304553543134. Only respond with math and no words.	[ { "content": "Solve 36146684-304553543134. Only respond with math and no words.", "role": "user" }, { "content": "36146684 - 304553543134 = -304517396450", "role": "assistant" } ]	[ { "content": "Solve 36146684-304553543134. Only respond with math and no words.", "role": "user" }, { "content": "(36146684 / 3134) * (36146684 mod 3134) + (30455354 / 17) * (30455354 mod 17) = 11415845286790903\nAlternatively, using prime factorization and the Chinese Remainder Theorem:\n36146684 =...	The user wants to perform subtraction	To solve this problem, the models need to know basic arithmetic operations	easy	meta-llama/Llama-3.3-70B-Instruct	good	The query is clear and specific, providing a mathematical expression to be solved, but lacks context or explanation.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-2.130859	-8.445313	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_46	GOAT	Evaluate the equation 5725841 multiplied by 5 and provide the answer. Limit your response to mathematical expressions and symbols.	[ { "content": "Evaluate the equation 5725841 multiplied by 5 and provide the answer. Limit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "5725841 * 5 = 28629205", "role": "assistant" } ]	[ { "content": "Evaluate the equation 5725841 multiplied by 5 and provide the answer. Limit your response to mathematical expressions and symbols.", "role": "user" }, { "content": " To provide the answer as requested, we will simply calculate the multiplication:\n5 × 5725841 = 28629205\nAnswer: 286292...	The user wants to evaluate a mathematical equation	To solve this problem, the models need to know basic multiplication	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear, specific, and well-formed, providing all necessary information for the calculation.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-1.69043	-3.089844	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_47	GOAT	Determine the value of 6 multiplied by 247087307139. Numbers and symbols only, please.	[ { "content": "Determine the value of 6 multiplied by 247087307139. Numbers and symbols only, please.", "role": "user" }, { "content": "6 * 247087307139 = 1482523842834", "role": "assistant" } ]	[ { "content": "Determine the value of 6 multiplied by 247087307139. Numbers and symbols only, please.", "role": "user" }, { "content": "154252381002 calculator function: 6 * 247087307139 = 154252381002. So, the value of 6 multiplied by 247087307139 is 154252381002.", "role": "assistant" } ]	The user wants to calculate the product of two numbers	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly asking for the result of a mathematical operation with the required numbers and symbols only.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-3.611328	-5.929688	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_48	GOAT	7510 + 41363467240=? Only mathematical symbols, no verbal descriptions.	[ { "content": "7510 + 41363467240=? Only mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "7510 + 41363467240 = 41363474750", "role": "assistant" } ]	[ { "content": "7510 + 41363467240=? Only mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "The sum of 7510 and 41363467240 is equal to 41438978350. This result can be obtained through mathematical calculation using the formula for addition:\n\n7510 + 41363467240 = 414389...	The user wants to perform a mathematical addition operation	To solve this problem, the models need to know basic arithmetic operations	easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, providing a mathematical expression that can be directly evaluated.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-2.259766	-7.128906	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_49	GOAT	9351386894+1611718029724? Numbers and symbols only, please.	[ { "content": "9351386894+1611718029724?\nNumbers and symbols only, please.", "role": "user" }, { "content": "9351386894 + 1611718029724 = 1621069416618", "role": "assistant" } ]	[ { "content": "9351386894+1611718029724?\nNumbers and symbols only, please.", "role": "user" }, { "content": "To add these two numbers, you can use the following steps:\n\n1. Start by breaking down the first number into easier to handle chunks, e.g. 9351386894 = 93513868 + 94 (the last two digits).\n...	The user wants to add two numbers	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	very poor	The query is unclear and lacks context. It appears to be a mathematical expression but does not specify what operation or result is being asked for.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-4.972656	-9.921875	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_50	GOAT	Compute the solution for 2779738 + 48. Only respond with math and no words.	[ { "content": "Compute the solution for 2779738 + 48. Only respond with math and no words.", "role": "user" }, { "content": "2779786\n", "role": "assistant" } ]	[ { "content": "Compute the solution for 2779738 + 48. Only respond with math and no words.", "role": "user" }, { "content": "2820156", "role": "assistant" } ]	The user wants to compute the sum of two numbers	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly stating the math problem to be solved.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-1.023438	-6.121094	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_51	GOAT	Find the solution for 632274570+985902382. Numbers and symbols only, please.	[ { "content": "Find the solution for 632274570+985902382. Numbers and symbols only, please.", "role": "user" }, { "content": "The solution for 632274570 + 985902382 is 1618177152. I hope this answer helps you!", "role": "assistant" } ]	[ { "content": "Find the solution for 632274570+985902382. Numbers and symbols only, please.", "role": "user" }, { "content": " To find the solution for the given addition problem, you just need to add the two numbers together:\n\n632,274,570 + 985,902,382\n\n 1,618,176,952\n\nSo, the sum of 632,274,...	The user wants to add two large numbers together	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly asking for the sum of two numbers with a clear request for a numerical answer.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-4.675781	-6.339844	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_52	GOAT	Solve 245196/4 step by step. Limit your response to mathematical expressions and symbols.	[ { "content": "Solve 245196/4 step by step. Limit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "245196 / 4 = 61299", "role": "assistant" } ]	[ { "content": "Solve 245196/4 step by step. Limit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "61299 + 61297/4 = integral(integer) values only. Divide both the numerator (245196) and denominator (4) by their GCD(2) = 2 to get 122598 and 2 respectively. Ther...	The user wants to perform division	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, providing a mathematical expression that needs to be solved step by step.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-2.347656	-10.085938	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_53	GOAT	Answer 925202801+15974844042593? Exclude words; show only the math.	[ { "content": "Answer 925202801+15974844042593?\nExclude words; show only the math.", "role": "user" }, { "content": "925202801 + 15974844042593 = 15975769245394", "role": "assistant" } ]	[ { "content": "Answer 925202801+15974844042593?\nExclude words; show only the math.", "role": "user" }, { "content": "925202801 + 15974844042593 = 16900066052813\nMathematically:\n92,520,2801 + 159,748,44042593 = 169,000,66052813 \nBe careful when working with large numbers, as some programming langu...	The user wants to perform a mathematical addition operation	To solve this problem, the models need to know basic arithmetic operations	easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly asking for a mathematical operation to be performed, with the numbers provided.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-3.550781	-6.429688	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_54	GOAT	Find the result for 141345992x922. Only respond with math and no words.	[ { "content": "Find the result for 141345992x922. Only respond with math and no words.", "role": "user" }, { "content": "141345992 * 922 = 141345992 * (900 + 20 + 2) = 141345992 * 900 + 141345992 * 20 + 141345992 * 2 = 127211392800 + 2826919840 + 282691984 = 130038312640 + 282691984 = 130321004624", ...	[ { "content": "Find the result for 141345992x922. Only respond with math and no words.", "role": "user" }, { "content": "13090412332494132x", "role": "assistant" } ]	The user wants to calculate the result of a multiplication operation	To solve this problem, the models need to know basic arithmetic operations	easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly asking for a mathematical calculation with the necessary numbers provided.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-3.767578	-7.617188	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_55	GOAT	the sum of 4076359 and 91404? Limit your response to mathematical expressions and symbols.	[ { "content": "the sum of 4076359 and 91404?\nLimit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "4076359 + 91404 = 4167763", "role": "assistant" } ]	[ { "content": "the sum of 4076359 and 91404?\nLimit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "The sum of two numbers, 4076359 and 91404, can be calculated using basic arithmetic operations. In this case, we will add them together. The mathematical expres...	The user wants to calculate the sum of two numbers	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly asking for the sum of two numbers.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-0.170532	-2.90625	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_56	GOAT	What is the solution to the problem 466654422 + 5652913714089? Exclude words; show only the math.	[ { "content": "What is the solution to the problem 466654422 + 5652913714089? Exclude words; show only the math.", "role": "user" }, { "content": "466654422 + 5652913714089 = 5653380368511", "role": "assistant" } ]	[ { "content": "What is the solution to the problem 466654422 + 5652913714089? Exclude words; show only the math.", "role": "user" }, { "content": "466654422 + 5652913714089 = 5657579938751\n\nI hope this helps! Let me know if you need assistance with anything else.", "role": "assistant" } ]	The user wants to calculate the sum of two large numbers	To solve this problem, the models need to know basic arithmetic operations	easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly asking for a mathematical solution without any unnecessary words or context.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-2.484375	-3.806641	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_57	GOAT	717951674 - 16429960932? Only mathematical symbols, no verbal descriptions.	[ { "content": "717951674 - 16429960932?\nOnly mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": " To calculate the result of this subtraction, first write down the given numbers in digit groups in the order you were provided: \n\n7,179,516,74 - 1,642,996,093\n\nStarting w...	[ { "content": "717951674 - 16429960932?\nOnly mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "Based on the mathematical symbols provided, we can transform them into the following expressions:\n\n717951674 = 1,986,597 (decimal) or 2^14 + 11 (binary) or (5 * 16642 + 1625...	The user wants to perform subtraction	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	very poor	The query lacks context and clarity, containing only numbers and mathematical symbols without any verbal description or explanation of the intended operation or question.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-7.617188	-10.648438	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_58	GOAT	Derive the value of 9138824991 minus 59103064 through calculation. Only mathematical symbols, no verbal descriptions.	[ { "content": "Derive the value of 9138824991 minus 59103064 through calculation. Only mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "9138824991 - 59103064 = 9079721927", "role": "assistant" } ]	[ { "content": "Derive the value of 9138824991 minus 59103064 through calculation. Only mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "9138824991 - 59103064 = 8547824327", "role": "assistant" } ]	The user wants to perform subtraction	To solve this problem, the models need to know basic arithmetic operations	easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, directly stating the mathematical operation to be performed.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-1.310547	-1.868164	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_59	GOAT	89175050680-72614736837? Only mathematical symbols, no verbal descriptions.	[ { "content": "89175050680-72614736837?\nOnly mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "89175050680 - 72614736837 = 16560313843", "role": "assistant" } ]	[ { "content": "89175050680-72614736837?\nOnly mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": " To provide an accurate result based solely on given numerical values, I must interpret these numbers as very large integers in scientific notation, as they include a hyphen (...	The user wants to perform a mathematical operation	To solve this problem, the models need to know basic arithmetic operations	easy	meta-llama/Llama-3.3-70B-Instruct	very poor	The query lacks clarity and context, containing only numbers and mathematical symbols without any verbal description or explanation of the intended operation or question.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-2.107422	-7.628906	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_60	GOAT	5x1625779539969? Only mathematical symbols, no verbal descriptions.	[ { "content": "5x1625779539969?\nOnly mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "5 * 1625779539969 = 8128897699845", "role": "assistant" } ]	[ { "content": "5x1625779539969?\nOnly mathematical symbols, no verbal descriptions.", "role": "user" }, { "content": "To perform a simple calculation on the expression you've provided, we will treat the expression as an integer multiplication problem. Here's the step-by-step solution:\n\n5 * 16257795...	The user wants to multiply 5 by 1625779539969	To solve this problem, the models need to know basic multiplication	very easy	meta-llama/Llama-3.3-70B-Instruct	poor	The query lacks context and clarity, containing only a mathematical expression without any description of the desired operation or outcome.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-4.179688	-6.707031	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_61	GOAT	390886899-583 =? Limit your response to mathematical expressions and symbols.	[ { "content": "390886899-583 =?\nLimit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "390886899 - 583 = 390886316", "role": "assistant" } ]	[ { "content": "390886899-583 =?\nLimit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "390886899-583 can be represented in mathematical notation as follows:\n\n390886899 - 583 = x\n\nSolving for x:\n\nx = 390828566 (rounded to the nearest integer)\n\nTherefore...	The user wants to perform subtraction	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, providing a mathematical expression that can be directly evaluated.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-0.811035	-4.8125	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_62	GOAT	Provide the result for 80897-8. Limit your response to mathematical expressions and symbols.	[ { "content": "Provide the result for 80897-8. Limit your response to mathematical expressions and symbols.", "role": "user" }, { "content": " The result for 80897 - 8 is expressed as:\n80,897 − 8 = 80,889.", "role": "assistant" } ]	[ { "content": "Provide the result for 80897-8. Limit your response to mathematical expressions and symbols.", "role": "user" }, { "content": "80897-8 = 80889\n\nIn mathematical terms, the result can be expressed as follows:\n\n80897 - 8 = 80889\n\nUsing mathematical symbols:\n\n80897 - 8 = 80889 \n\n...	The user wants to perform subtraction	To solve this problem, the models need to know basic arithmetic operations	very easy	meta-llama/Llama-3.3-70B-Instruct	average	The query is clear and specific, but lacks context about what '80897-8' refers to, which could be a mathematical expression, a code, or something else.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-2.726563	-2.732422	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_63	TheoremQA	Evaluate $\int_c z^2 / (z - 5) dz$, where c is the circle that $\|z\| = 2$.	[ { "content": "Evaluate $\\int_c z^2 / (z - 5) dz$, where c is the circle that $\|z\| = 2$.", "role": "user" }, { "content": "To evaluate the integral $\\int_c \\frac{z^2}{z - 5} dz$, where $c$ is the circle $\|z\| = 2$, we first identify it as a contour integral in the complex plane. The function $\\fra...	[ { "content": "Evaluate $\\int_c z^2 / (z - 5) dz$, where c is the circle that $\|z\| = 2$.", "role": "user" }, { "content": "To evaluate the contour integral $\\int_c \\frac{z^2}{z - 5} dz$ over the circle $\|z\| = 2$, we will use the residue theorem. The residue theorem states that for a function with ...	The user wants to evaluate a complex integral	To solve this problem, the models need to know complex analysis and integral calculus	hard	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, providing the integral to be evaluated and the contour of integration. It is well-formed and contains all necessary information for a comprehensive response.	meta-llama/Llama-3.3-70B-Instruct	Math	[ "Reasoning" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-0.328125	-3.015625	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_64	TheoremQA	A remote database contains 30 seconds of color motion-video. The video sequence is of the format (352 ́288 pixels) with RGB digitization at 30 frames per second. Find the the data rate for this motion-video in Mbits/s (3 sig. fig.).	[ { "content": "A remote database contains 30 seconds of color motion-video. The video sequence is of the format (352 ́288 pixels) with RGB digitization at 30 frames per second. Find the the data rate for this motion-video in Mbits/s (3 sig. fig.).", "role": "user" }, { "content": " To calculate the d...	[ { "content": "A remote database contains 30 seconds of color motion-video. The video sequence is of the format (352 ́288 pixels) with RGB digitization at 30 frames per second. Find the the data rate for this motion-video in Mbits/s (3 sig. fig.).", "role": "user" }, { "content": "The data rate for t...	The user wants to calculate the data rate for a given motion-video	To solve this problem, the models need to know the formula for calculating data rate and understand the video specifications	medium	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear, specific, and well-formed, providing all necessary details about the video format and requirements for calculating the data rate.	meta-llama/Llama-3.3-70B-Instruct	Math	[ "Data analysis" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-2.595703	-4.828125	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_65	Dove	Can you create a user flow for the [forgot PIN feature that is a good UX considered best practice for apps]?	[ { "content": "Can you create a user flow for the [forgot PIN feature that is a good UX considered best practice for apps]?", "role": "user" }, { "content": "Sure, here's a user flow for a \"Forgot PIN\" feature that follows UX best practices:\n\n1. Sign-in screen\n\t* Display email/username and pass...	[ { "content": "Can you create a user flow for the [forgot PIN feature that is a good UX considered best practice for apps]?", "role": "user" }, { "content": " To create an optimal user flow for the \"Forgot PIN feature\" with good user experience (UX) and best practices in mind for apps, we will walk...	The user wants to create a user flow for a forgot PIN feature with good UX	To solve this problem, the models need to know best practices for UX in app design, specifically for forgot PIN features	hard	meta-llama/Llama-3.3-70B-Instruct	good	The query is clear and specific about the desired outcome, which is to create a user flow for a forgot PIN feature with good UX considered best practice for apps. However, it could benefit from more context about the app type or specific UX considerations.	meta-llama/Llama-3.3-70B-Instruct	Planning	[ "Information seeking", "Advice seeking" ]	meta-llama/Llama-3.3-70B-Instruct	safe	3.865234	2.171875	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_66	TheoremQA	Both A, B are n-by-n matrices with rank(A)=n, rank(A*B)=0. What is rank(B)?	[ { "content": "Both A, B are n-by-n matrices with rank(A)=n, rank(A*B)=0. What is rank(B)?", "role": "user" }, { "content": " When dealing with matrices, the rank of a matrix is defined as the maximum number of linearly independent rows or columns in that matrix. Two important properties of matrix ra...	[ { "content": "Both A, B are n-by-n matrices with rank(A)=n, rank(A*B)=0. What is rank(B)?", "role": "user" }, { "content": "Sylvester's rank inequality is a fundamental result in linear algebra that relates the ranks of matrices and their submatrices. It is named after the British mathematician Jame...	The user wants to find the rank of matrix B given the ranks of matrix A and the product A*B	To solve this problem, the models need to know linear algebra concepts, specifically properties of matrix multiplication and rank	hard	meta-llama/Llama-3.3-70B-Instruct	excellent	The query is clear and specific, providing necessary information about the matrices A and B, and their ranks. It is well-formed and concise, making it easy to understand the user's intent.	meta-llama/Llama-3.3-70B-Instruct	Math	[ "Reasoning" ]	meta-llama/Llama-3.3-70B-Instruct	safe	-1.891602	-7.167969	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN
orpo_67	GOAT	2481532 + 111598117420151? Only respond with math and no words.	[ { "content": "2481532 + 111598117420151?\nOnly respond with math and no words.", "role": "user" }, { "content": "2481532 + 111598117420151 = 111598119901683", "role": "assistant" } ]	[ { "content": "2481532 + 111598117420151?\nOnly respond with math and no words.", "role": "user" }, { "content": "46696336732176\n", "role": "assistant" } ]	The user wants to perform a large number addition	To solve this problem, the models need to know basic arithmetic operations	easy	meta-llama/Llama-3.3-70B-Instruct	average	The query is clear and specific, providing two numbers for a math operation, but lacks context and a specific operation to perform.	meta-llama/Llama-3.3-70B-Instruct	Math	[]	meta-llama/Llama-3.3-70B-Instruct	safe	-4.550781	-7.304688	sfairXC/FsfairX-LLaMA3-RM-v0.1	EN

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ORPO-DPO–Annotated

📝 Overview

This dataset provides Magpie-annotated metadata for the original ORPO preference corpus, including task category, difficulty, input quality, language, and independent preference reward scores. It serves as one of the five foundational components used in the UltraMix curation pipeline.

🏆 This annotated release was created as part of our paper (2026)

“When Data Is the Algorithm: A Systematic Study and Curation of Preference Optimization Datasets”
📄 Paper PDF · 🔧 Adapted Magpie Repository · 🧪 UltraMix-DPO-Annotated Dataset

📦 Contents

Magpie task category (12 classes)
Input quality & justification
Query difficulty
Safety assessment
Language
Preference reward scores (using FsfairX-RM reward model)

🧾 Citation

@misc{djuhera2025ultramix,
  title     = {When Data Is the Algorithm: A Systematic Study and Curation of Preference Optimization Datasets},
  author    = {Djuhera, Aladin and Ahmed, Farhan and Kadhe, Swanand Ravindra and Zawad, Syed and Ludwig, Heiko and Boche, Holger},
  year      = {2025},
  url       = {https://arxiv.org/abs/2506.06522}
}

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Number of rows:

39,758

Paper for aladinDJ/orpo-DPO-annotated

Fixing It in Post: A Comparative Study of LLM Post-Training Data Quality and Model Performance

Paper • 2506.06522 • Published Jun 6, 2025