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 -4.56 -1.17 | rejected_instruct_reward float64 -2.12 1.23 | 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 | -2.740234 | -1.463867 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.808594 | -0.597656 | RLHFlow/ArmoRM-Llama3-8B-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 | -3.0625 | -1.65625 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.683594 | -1.292969 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.949219 | -0.352051 | RLHFlow/ArmoRM-Llama3-8B-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 | -3.306641 | -1.098633 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.871094 | -0.855469 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.332031 | -0.827637 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.904297 | -1.967773 | RLHFlow/ArmoRM-Llama3-8B-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 | -3.183594 | -0.20105 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.916016 | -0.359619 | RLHFlow/ArmoRM-Llama3-8B-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 | -3.042969 | -0.430176 | RLHFlow/ArmoRM-Llama3-8B-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
... | [
{
"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 | -2.03125 | -0.105103 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_13 | GOAT | 36765980697435*0?
Limit your response to mathematical expressions and symbols. | [
{
"content": "36765980697435*0?\nLimit your response to mathematical expressions and symbols.",
"role": "user"
},
{
"content": "36765980697435 * 0 = 0",
"role": "assistant"
}
] | [
{
"content": "36765980697435*0?\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 | -2.992188 | -1.235352 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.984375 | -0.824219 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.896484 | -1.154297 | RLHFlow/ArmoRM-Llama3-8B-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 | -3.130859 | -0.373779 | RLHFlow/ArmoRM-Llama3-8B-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 61103*615. 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 | -2.414063 | -1.12207 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.705078 | -1.152344 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.746094 | -1.435547 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.990234 | -0.38501 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.646484 | -1.478516 | RLHFlow/ArmoRM-Llama3-8B-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 | -3.0625 | -0.857422 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.832031 | -0.78418 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.976563 | -0.881348 | RLHFlow/ArmoRM-Llama3-8B-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 | -3.253906 | -0.631348 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.851563 | -1.09668 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.332031 | -1.514648 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.644531 | 0.078796 | RLHFlow/ArmoRM-Llama3-8B-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 | -3.15625 | -0.641113 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.591797 | -0.599609 | RLHFlow/ArmoRM-Llama3-8B-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 | -3.123047 | -0.076538 | RLHFlow/ArmoRM-Llama3-8B-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 24869*5. 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 | -2.78125 | -1.189453 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.701172 | -1.397461 | RLHFlow/ArmoRM-Llama3-8B-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 | -3.125 | -1.275391 | RLHFlow/ArmoRM-Llama3-8B-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^(k*p) + (a-1)^(k*p) 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 | -2.845703 | -1.050781 | RLHFlow/ArmoRM-Llama3-8B-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 | -3.339844 | -1.949219 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.578125 | -1.306641 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.365234 | -1.114258 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.441406 | -0.413818 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.994141 | -0.44873 | RLHFlow/ArmoRM-Llama3-8B-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 | -3.525391 | -0.861328 | RLHFlow/ArmoRM-Llama3-8B-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 5*53256173658. Limit your response to mathematical expressions and symbols.",
"role": "user"
},
{
"content": "To compute the solution for 5*53256173658, 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 | -2.136719 | -1.135742 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.806641 | -1.665039 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.902344 | -1.163086 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.908203 | -1.251953 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.888672 | -1.25 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.501953 | -1.870117 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.65625 | -1.274414 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.716797 | -0.641602 | RLHFlow/ArmoRM-Llama3-8B-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 | -3.082031 | -1.285156 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.966797 | -1.102539 | RLHFlow/ArmoRM-Llama3-8B-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 | -3.125 | -1.161133 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.580078 | -1.306641 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.880859 | -1.280273 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.705078 | -1.208008 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.626953 | -1.188477 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.804688 | -0.812988 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.453125 | -0.981445 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.818359 | -1.014648 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.597656 | -1.045898 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.830078 | -1.667969 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.785156 | -1.229492 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.695313 | -0.215576 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.896484 | -0.64502 | RLHFlow/ArmoRM-Llama3-8B-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 | -3.193359 | -0.472656 | RLHFlow/ArmoRM-Llama3-8B-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 | -3.015625 | -0.458496 | RLHFlow/ArmoRM-Llama3-8B-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 | -2.824219 | -1.118164 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_68 | GOAT | 890729 - 425663?
Only respond with math and no words. | [
{
"content": "890729 - 425663?\nOnly respond with math and no words.",
"role": "user"
},
{
"content": "465066",
"role": "assistant"
}
] | [
{
"content": "890729 - 425663?\nOnly respond with math and no words.",
"role": "user"
},
{
"content": "In this case, it seems like you are asking for the result of subtracting 425663 from 890729. Here's the result:\n\n465064",
"role": "assistant"
}
] | 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 | good | The query is clear and specific, containing a simple math problem with two numbers and an operator, but lacks context or explanation. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -3.017578 | -1.532227 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_69 | GOAT | Derive the solution for 9096000 / 9475. Only mathematical symbols, no verbal descriptions. | [
{
"content": "Derive the solution for 9096000 / 9475. Only mathematical symbols, no verbal descriptions.",
"role": "user"
},
{
"content": "9096000 - 9475 * 900 = 9096000 - 8527500 = 568500\n568500 - 9475 * 60 = 568500 - 568500 = 0\nTherefore, 9096000 / 9475 = 960",
"role": "assistant"
}
] | [
{
"content": "Derive the solution for 9096000 / 9475. Only mathematical symbols, no verbal descriptions.",
"role": "user"
},
{
"content": "9096000 / 9475 = 1024 * 35 / (7 * 5 * 11)\n= (2^10) * 35 / (3 * 5 * 11)\n= 2^10 * 7 / (3 * 11)\n= 2^10 * (35/11)\n= 1024 * 3.176470588\n≈ 3276.8 \n\nSo the mathe... | 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 the exact mathematical operation and numbers required for the solution. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.763672 | -0.960449 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_70 | Dove | I am trying to name a consumer product that sorts collectible cards. I would like to explore names that have all knight / tower / squire / guard-related naming. Some that we have thought of are "Card Gate", "Card Bridge", "Card Tower", etc. Please give me 50 of your best name suggestions for this product. It should sou... | [
{
"content": "I am trying to name a consumer product that sorts collectible cards. I would like to explore names that have all knight / tower / squire / guard-related naming. Some that we have thought of are \"Card Gate\", \"Card Bridge\", \"Card Tower\", etc. Please give me 50 of your best name suggestions for... | [
{
"content": "I am trying to name a consumer product that sorts collectible cards. I would like to explore names that have all knight / tower / squire / guard-related naming. Some that we have thought of are \"Card Gate\", \"Card Bridge\", \"Card Tower\", etc. Please give me 50 of your best name suggestions for... | The user wants to generate a list of names for a consumer product related to sorting collectible cards with a medieval theme | To solve this problem, the models need to know naming conventions, branding, and medieval-related terms | hard | meta-llama/Llama-3.3-70B-Instruct | excellent | The query is clear, specific, and well-formed, providing sufficient context and examples for understanding the user's intent. | meta-llama/Llama-3.3-70B-Instruct | Brainstorming | [
"Information seeking",
"Creative writing"
] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.792969 | -0.006657 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_71 | Dove | Give me 25 ideas for new cooperative board games. They should be playable in under 2 hours and work for up to 4 players. | [
{
"content": "Give me 25 ideas for new cooperative board games. They should be playable in under 2 hours and work for up to 4 players.",
"role": "user"
},
{
"content": "1. City Planners: Players collaborate to design and construct an eco-friendly city, managing resources, infrastructure, and maintai... | [
{
"content": "Give me 25 ideas for new cooperative board games. They should be playable in under 2 hours and work for up to 4 players.",
"role": "user"
},
{
"content": "1. Flower Power: Players must strategically plant and tend to their garden while working together to fend off pests and collect bon... | The user wants to get a list of new cooperative board game ideas | To solve this problem, the models need to know about cooperative board games and their characteristics | hard | meta-llama/Llama-3.3-70B-Instruct | excellent | The query is clear, specific, and well-formed, providing necessary details such as the number of players and playtime. | meta-llama/Llama-3.3-70B-Instruct | Brainstorming | [
"Information seeking",
"Planning"
] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.568359 | -0.793457 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_72 | GOAT | Would it be possible for you to guide me through calculating 3738 x 488? Only respond with math and no words. | [
{
"content": "Would it be possible for you to guide me through calculating 3738 x 488? Only respond with math and no words.",
"role": "user"
},
{
"content": "3738 * 488 = 3738 * (400 + 80 + 8) = 3738 * 400 + 3738 * 80 + 3738 * 8 = 1495200 + 299040 + 29904 = 1794240 + 29904 = 1824144",
"role": "a... | [
{
"content": "Would it be possible for you to guide me through calculating 3738 x 488? Only respond with math and no words.",
"role": "user"
},
{
"content": "AtA:피參동 positions: 3738 xB:488\n IDENTIFY REGROUPING OPPORTUNITIES\n 3700 × B + 38 × B = (% 900 × 488 = 242 + 38 × 488 =) 183328 + 18564 =\n... | The user wants to calculate the product of two numbers | 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 calculation without any unnecessary information. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.726563 | -0.827148 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_73 | Dove | Shuffle the following list of projects and assign roughly equal numbers to April 3, 10, and 13.
Facial Identification AI to prevent cyber crimes
NLP Analysis of Customer Reviews of Restaurants
Sign Language on Teachable Machine
Character Objective Extraction Model
Banana ripeness estimator
Behaviour trees to programme... | [
{
"content": "Shuffle the following list of projects and assign roughly equal numbers to April 3, 10, and 13.\nFacial Identification AI to prevent cyber crimes \nNLP Analysis of Customer Reviews of Restaurants\nSign Language on Teachable Machine\nCharacter Objective Extraction Model\nBanana ripeness estimator\n... | [
{
"content": "Shuffle the following list of projects and assign roughly equal numbers to April 3, 10, and 13.\nFacial Identification AI to prevent cyber crimes \nNLP Analysis of Customer Reviews of Restaurants\nSign Language on Teachable Machine\nCharacter Objective Extraction Model\nBanana ripeness estimator\n... | The user wants to shuffle a list of projects and distribute them across specific dates | To solve this problem, the models need to know basic list manipulation and date management | easy | meta-llama/Llama-3.3-70B-Instruct | good | The query is clear and specific about the task, providing a list of projects and the dates for assignment. However, it lacks context about the projects' complexity, duration, or any specific requirements. | meta-llama/Llama-3.3-70B-Instruct | Planning | [
"Data analysis",
"Brainstorming"
] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.367188 | -0.206543 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_74 | Dove | Can i detect virtual env from browser javascript? | [
{
"content": "Can i detect virtual env from browser javascript?",
"role": "user"
},
{
"content": " It is not possible to directly detect the presence of a virtual environment (such as a Python virtual environment) from within a web browser using JavaScript. Web browsers run on the client-side and ha... | [
{
"content": "Can i detect virtual env from browser javascript?",
"role": "user"
},
{
"content": "While it is not possible to directly and consistently detect the presence of a virtual environment from JavaScript running within a browser, there are a few indirect approaches you could consider.\n\n1.... | The user wants to detect a virtual environment from browser JavaScript | To solve this problem, the models need to know about browser JavaScript capabilities and virtual environment detection methods | hard | meta-llama/Llama-3.3-70B-Instruct | poor | The query is somewhat unclear and lacks important details, such as the context and purpose of detecting a virtual environment from browser JavaScript. | meta-llama/Llama-3.3-70B-Instruct | Coding & Debugging | [
"Information seeking"
] | meta-llama/Llama-3.3-70B-Instruct | safe | -3.798828 | -0.251953 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_75 | GOAT | What is 80649780/10? Exclude words; show only the math. | [
{
"content": "What is 80649780/10? Exclude words; show only the math.",
"role": "user"
},
{
"content": "80649780 / 10 = 8064978",
"role": "assistant"
}
] | [
{
"content": "What is 80649780/10? Exclude words; show only the math.",
"role": "user"
},
{
"content": "80649780 / 10 = 8064978\n(binary: 1100110100001111010changing to decimal) \n(binary: 1000 = 8 * base 2)\n(joining: 110100001111010 = 27288 + 23286 = 50574 base 10)\nso, 80649780 / 10 = 8064978",
... | 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 very clear and specific, directly asking for a mathematical operation with the necessary numbers provided. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.902344 | -0.867188 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_76 | Dove | Write a biography of Martin Kavka. | [
{
"content": "Write a biography of Martin Kavka.",
"role": "user"
},
{
"content": "Martin Kavka: A Scholarly Life\n\nMartin Kavka is a prominent scholar and academic, best known for his work in the fields of religion, Jewish philosophy, and modern Jewish thought. With an impressive career spanning o... | [
{
"content": "Write a biography of Martin Kavka.",
"role": "user"
},
{
"content": " Martin Kavka is an esteemed American scholar and teacher mainly recognized for his notable contributions to the fields of moral and political philosophy, as well as ancient Greek and Roman philosophy. He was born on ... | The user wants to obtain information about Martin Kavka's life | To solve this problem, the models need to know biographical details about Martin Kavka | hard | meta-llama/Llama-3.3-70B-Instruct | average | The query is clear and specific, but lacks context about who Martin Kavka is or what kind of biography is expected. | meta-llama/Llama-3.3-70B-Instruct | Information seeking | [
"Creative writing"
] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.574219 | -0.961426 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_77 | GOAT | I would appreciate it if you could assist me in calculating 636409 times 26956. equations/math only, no commentary. | [
{
"content": "I would appreciate it if you could assist me in calculating 636409 times 26956. equations/math only, no commentary.",
"role": "user"
},
{
"content": "Certainly, here's the result of your multiplication calculation:\n\n636409 times 26956 = 1707324254\n\nPlease let me know if you need fu... | [
{
"content": "I would appreciate it if you could assist me in calculating 636409 times 26956. equations/math only, no commentary.",
"role": "user"
},
{
"content": "636409 * 26956 = 636409 * (20000 + 6000 + 900 + 50 + 6) = 636409 * 20000 + 636409 * 6000 + 636409 * 900 + 636409 * 50 + 636409 * 6 = 127... | 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 stating the mathematical operation required, with no unnecessary information. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.794922 | -1.291016 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_78 | GOAT | What is the result of the quotient and remainder of 35304 and 20? Numbers and symbols only, please. | [
{
"content": "What is the result of the quotient and remainder of 35304 and 20? Numbers and symbols only, please.",
"role": "user"
},
{
"content": "35304 - 20 * 1000 = 35304 - 20000 = 15304\n15304 - 20 * 700 = 15304 - 14000 = 1304\n1304 - 20 * 60 = 1304 - 1200 = 104\n104 - 20 * 5 = 104 - 100 = 4\nTh... | [
{
"content": "What is the result of the quotient and remainder of 35304 and 20? Numbers and symbols only, please.",
"role": "user"
},
{
"content": " To calculate the quotient and remainder of 35304 and 20, let's perform the division:\n\nFollowing the long division process:\n\n 1765\n───÷───\n 20 ... | The user wants to find the quotient and remainder of 35304 divided by 20 | To solve this problem, the models need to know basic division 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 given numbers. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.367188 | -1.481445 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_79 | TheoremQA | A group of 10 people is split into 3 different committees of 3, 4, and 3 people, respectively. In how many ways can this be done? | [
{
"content": "A group of 10 people is split into 3 different committees of 3, 4, and 3 people, respectively. In how many ways can this be done?",
"role": "user"
},
{
"content": "To find the number of ways to split a group of 10 people into 3 different committees of 3, 4, and 3 people, respectively, ... | [
{
"content": "A group of 10 people is split into 3 different committees of 3, 4, and 3 people, respectively. In how many ways can this be done?",
"role": "user"
},
{
"content": "The first committee can have 3, 4, or 5 people. If it has 3 people, there are 10 - 3 = 7 ways to choose the other 2 member... | The user wants to calculate the number of ways to split a group of people into different committees | To solve this problem, the models need to know combinatorics and permutations | hard | meta-llama/Llama-3.3-70B-Instruct | excellent | The query is clear, specific, and well-formed, providing all necessary information for understanding the problem. | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning"
] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.976563 | -0.849609 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_80 | TheoremQA | Malus' law: $I=I_0*cos^2($\theta$)$. Where I is the intensity of polarized light that has passed through the polarizer, I_0 is the intensity of polarized light before the polarizer, and $\theta$ is the angle between the polarized light and the polarizer. Unpolarized light passes through a polarizer. It then passes thro... | [
{
"content": "Malus' law: $I=I_0*cos^2($\\theta$)$. Where I is the intensity of polarized light that has passed through the polarizer, I_0 is the intensity of polarized light before the polarizer, and $\\theta$ is the angle between the polarized light and the polarizer. Unpolarized light passes through a polari... | [
{
"content": "Malus' law: $I=I_0*cos^2($\\theta$)$. Where I is the intensity of polarized light that has passed through the polarizer, I_0 is the intensity of polarized light before the polarizer, and $\\theta$ is the angle between the polarized light and the polarizer. Unpolarized light passes through a polari... | The user wants to calculate the percentage of the original intensity of light after passing through multiple polarizers | To solve this problem, the models need to know Malus' law and how to apply it sequentially to multiple polarizers | hard | meta-llama/Llama-3.3-70B-Instruct | excellent | The query is clear, specific, and well-formed, providing all necessary information and context for understanding the user's intent, including the relevant formula and specific angles. | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Information seeking",
"Reasoning"
] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.974609 | -0.651367 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_81 | GOAT | 975600 / 39024?
Limit your response to mathematical expressions and symbols. | [
{
"content": "975600 / 39024?\nLimit your response to mathematical expressions and symbols.",
"role": "user"
},
{
"content": "To solve this division problem, you can simply use the formula:\n\nResult = Division_Dividend / Division_Divisor\n\nResult = 975600 / 39024\n\nResult = 25\n\nSo the outcome o... | [
{
"content": "975600 / 39024?\nLimit your response to mathematical expressions and symbols.",
"role": "user"
},
{
"content": "975600 - 39024 * 20 = 975600 - 780480 = 195120\n195120 - 39024 * 5 = 195120 - 195120 = 0\nTherefore, 975600 / 39024 = 25",
"role": "assistant"
}
] | 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, containing a mathematical expression that can be directly evaluated. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -3.095703 | -1.55957 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_82 | Dove | what are some examples of personalized digital marketing? | [
{
"content": "what are some examples of personalized digital marketing?",
"role": "user"
},
{
"content": "Personalized digital marketing involves tailoring marketing strategies and content to individual customers based on their preferences, behaviors, and other data points. This approach helps busin... | [
{
"content": "what are some examples of personalized digital marketing?",
"role": "user"
},
{
"content": " Personalized digital marketing refers to the strategy of creating and delivering individually targeted content or campaigns to specific audiences based on their individual preferences, behavior... | The user wants to know examples of personalized digital marketing | To solve this problem, the models need to know different types of digital marketing strategies and techniques | easy | meta-llama/Llama-3.3-70B-Instruct | good | The query is clear and specific, but lacks context about the type of personalization or industry. It provides a general idea of what the user is looking for. | meta-llama/Llama-3.3-70B-Instruct | Information seeking | [
"Advice seeking",
"Brainstorming"
] | meta-llama/Llama-3.3-70B-Instruct | safe | -3.019531 | -0.841797 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_83 | GOAT | 7499523837/46631?
Only respond with math and no words. | [
{
"content": "7499523837/46631?\nOnly respond with math and no words.",
"role": "user"
},
{
"content": "7499523837 - 46631 * 100000 = 7499523837 - 4663100000 = 2836423837\n2836423837 - 46631 * 60000 = 2836423837 - 2797860000 = 38563837\n38563837 - 46631 * 800 = 38563837 - 37304800 = 1259037\n1259037... | [
{
"content": "7499523837/46631?\nOnly respond with math and no words.",
"role": "user"
},
{
"content": "0.54376",
"role": "assistant"
}
] | 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, containing a mathematical expression that can be evaluated directly. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.806641 | -1.287109 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_84 | GOAT | What is the value of 112458834672/6? Limit your response to mathematical expressions and symbols. | [
{
"content": "What is the value of 112458834672/6? Limit your response to mathematical expressions and symbols.",
"role": "user"
},
{
"content": "The value of 112458834672/6 can be calculated as follows:\n\n112458834672 ÷ 6 = 18743139112\n\nSo, the result is 18743139112.",
"role": "assistant"
... | [
{
"content": "What is the value of 112458834672/6? Limit your response to mathematical expressions and symbols.",
"role": "user"
},
{
"content": " To calculate the value of 112458834672/6, we can simply divide the given number by 6:\n\n11,245,883,4672 ÷ 6 = 1874,313,910.3333\n",
"role": "assista... | The user wants to calculate the result of 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 all necessary information for a mathematical calculation. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.798828 | -1.254883 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_85 | Dove | fresh cut fruit subscription | [
{
"content": "fresh cut fruit subscription",
"role": "user"
},
{
"content": "A fresh cut fruit subscription is a convenient service where you can receive regular deliveries of freshly cut fruits right to your doorstep. This service typically offers a variety of seasonal fruits, providing a diverse a... | [
{
"content": "fresh cut fruit subscription",
"role": "user"
},
{
"content": "Title: Fresh Cut Fruit Subscription: Revolutionizing Healthy Snacking for Busy Lives\n\nMeta Description: Discover the benefits of a fresh cut fruit subscription service that delivers healthy, delicious snacks to your doors... | The user wants to find a service that delivers fresh cut fruit on a regular basis | To solve this problem, the models need to know about fruit subscription services | easy | meta-llama/Llama-3.3-70B-Instruct | average | The query is brief and lacks context, but it conveys a clear intent of searching for a subscription service related to fresh cut fruit. | meta-llama/Llama-3.3-70B-Instruct | Information seeking | [
"Advice seeking",
"Planning"
] | meta-llama/Llama-3.3-70B-Instruct | safe | -3.205078 | -0.391357 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_86 | GOAT | 63821829094 plus 9295741400?
equations/math only, no commentary. | [
{
"content": "63821829094 plus 9295741400?\nequations/math only, no commentary.",
"role": "user"
},
{
"content": "63821829094 + 9295741400 = 73117570494",
"role": "assistant"
}
] | [
{
"content": "63821829094 plus 9295741400?\nequations/math only, no commentary.",
"role": "user"
},
{
"content": " To calculate the sum of the two given numbers, we simply add them together as follows:\n\n6,382,182,909 + 9,295,741,400 = 15,677,924,309\n\nThe calculation results in 15,677,924,309.",
... | 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 | excellent | The query is clear and specific, directly asking for the result of a mathematical operation without any unnecessary information. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.740234 | -0.901367 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_87 | GOAT | Perform the computation for the expression the sum of 450292438 and 72572741764. Numbers and symbols only, please. | [
{
"content": "Perform the computation for the expression the sum of 450292438 and 72572741764. Numbers and symbols only, please.",
"role": "user"
},
{
"content": "450292438 + 72572741764 = 73023034202",
"role": "assistant"
}
] | [
{
"content": "Perform the computation for the expression the sum of 450292438 and 72572741764. Numbers and symbols only, please.",
"role": "user"
},
{
"content": "450292438 + 72572741764 = 77075186612.\n\nI hope this answer is helpful to you! Let me know if you have any further questions or concerns... | The user wants to perform a mathematical computation to find the sum of two given 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 numbers and operation required for the computation, with no unnecessary information. | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Data analysis"
] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.550781 | -1.270508 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_88 | GOAT | 44299254593665 + 5390236?
Numbers and symbols only, please. | [
{
"content": "44299254593665 + 5390236?\nNumbers and symbols only, please.",
"role": "user"
},
{
"content": "44299254593665 + 5390236 = 44299259983901",
"role": "assistant"
}
] | [
{
"content": "44299254593665 + 5390236?\nNumbers and symbols only, please.",
"role": "user"
},
{
"content": "The result of the addition of the two numbers provided is:\n\n44299254593665 + 5390236 = 44353154820661",
"role": "assistant"
}
] | 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 | good | The query is clear and specific, asking for the sum of two numbers, but it lacks context and is limited to numbers and symbols only. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -3.095703 | -1.326172 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_89 | GOAT | 92718195027-54718841117?
equations/math only, no commentary. | [
{
"content": "92718195027-54718841117?\nequations/math only, no commentary.",
"role": "user"
},
{
"content": "92718195027 - 54718841117 = 37999353910",
"role": "assistant"
}
] | [
{
"content": "92718195027-54718841117?\nequations/math only, no commentary.",
"role": "user"
},
{
"content": "The provided numbers, 92718195027 and 54718841117, are not related to any math equations or operations. They are simply two large numbers. If you have a specific math question or problem you... | 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 clarity and context, containing only numbers and a vague reference to equations/math without specifying the problem or question. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.839844 | -0.583984 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_90 | Dove | what's the use for this regex: (?:[a-zA-Z0-9!#$%\\&'\*+/=?\\^\_`{|}~-]+(?:\\.[a-zA-Z0-9!#$%\\&'\*+/=?\\^\_`{|}"
+ "~-]+)\*|\"(?:[\\x01-\\x08\\x0b\\x0c\\x0e-\\x1f\\x21\\x23-\\x5b\\x5d-\\"
+ "x7f]|\\\\[\\x01-\\x09\\x0b\\x0c\\x0e-\\x7f])\*\")@(?:(?:[a-z0-9](?:[a-"
+ "z0-9-]\*[a-z0-9])?\\.)+[a-z0-9](?:[a-z0-9-]\*[a-z0-9... | [
{
"content": "what's the use for this regex: (?:[a-zA-Z0-9!#$%\\\\&'\\*+/=?\\\\^\\_`{|}~-]+(?:\\\\.[a-zA-Z0-9!#$%\\\\&'\\*+/=?\\\\^\\_`{|}\"\n + \"~-]+)\\*|\\\"(?:[\\\\x01-\\\\x08\\\\x0b\\\\x0c\\\\x0e-\\\\x1f\\\\x21\\\\x23-\\\\x5b\\\\x5d-\\\\\"\n + \"x7f]|\\\\\\\\[\\\\x01-\\\\x09\\\\x0b\\\\x0c\\\\x0e-\\\\x7f])\... | [
{
"content": "what's the use for this regex: (?:[a-zA-Z0-9!#$%\\\\&'\\*+/=?\\\\^\\_`{|}~-]+(?:\\\\.[a-zA-Z0-9!#$%\\\\&'\\*+/=?\\\\^\\_`{|}\"\n + \"~-]+)\\*|\\\"(?:[\\\\x01-\\\\x08\\\\x0b\\\\x0c\\\\x0e-\\\\x1f\\\\x21\\\\x23-\\\\x5b\\\\x5d-\\\\\"\n + \"x7f]|\\\\\\\\[\\\\x01-\\\\x09\\\\x0b\\\\x0c\\\\x0e-\\\\x7f])\... | The user wants to understand the purpose of a given regex pattern | To solve this problem, the models need to know regex syntax and its application in email validation | hard | meta-llama/Llama-3.3-70B-Instruct | good | The query is very specific and well-formed, providing a detailed regex pattern, but lacks context about its intended use or purpose. | meta-llama/Llama-3.3-70B-Instruct | Coding & Debugging | [
"Information seeking"
] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.714844 | -0.719727 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_91 | GOAT | 518 / 74?
Limit your response to mathematical expressions and symbols. | [
{
"content": "518 / 74?\nLimit your response to mathematical expressions and symbols.",
"role": "user"
},
{
"content": "518 ÷ 74 = 6.963855421875",
"role": "assistant"
}
] | [
{
"content": "518 / 74?\nLimit your response to mathematical expressions and symbols.",
"role": "user"
},
{
"content": " To calculate 518 / 74, follow these steps:\n\n1. Divide the tens digit of the numerator (5) by the tens digit of the denominator (7): 5 ÷ 7 = 0 with a remainder of 5.\n (This le... | 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, containing a mathematical expression that can be directly evaluated. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.435547 | -1.018555 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_92 | GOAT | Show the step-by-step method for evaluating 4384 x 43. Only mathematical symbols, no verbal descriptions. | [
{
"content": "Show the step-by-step method for evaluating 4384 x 43. Only mathematical symbols, no verbal descriptions.",
"role": "user"
},
{
"content": "1. Break down the multiplication into smaller, manageable pieces:\n - Since the second factor, 43, is relatively small, we can evaluate it as fo... | [
{
"content": "Show the step-by-step method for evaluating 4384 x 43. Only mathematical symbols, no verbal descriptions.",
"role": "user"
},
{
"content": "4384 × 43 = (1000 × 4 + 300 × 4 + 100 × 4 + 10 × 4 + 3) × 43 \n\n= (40000 + 12000 + 400 + 40 + 3) × 43 \n\n= 52443 × 43 \n\n= (50000 + 2000 + 20 +... | The user wants to perform 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 step-by-step method for a mathematical operation without requiring additional context. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.681641 | -1.325195 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_93 | GOAT | 2266212325413 / 3?
Exclude words; show only the math. | [
{
"content": "2266212325413 / 3?\nExclude words; show only the math.",
"role": "user"
},
{
"content": "2266212325413 / 3 = 755404108471",
"role": "assistant"
}
] | [
{
"content": "2266212325413 / 3?\nExclude words; show only the math.",
"role": "user"
},
{
"content": "Okay, let's simplify the division problem you have shown here:\n\n2266212325413 ÷ 3\n\nTo solve this division problem, we'll perform long division:\n\nFirst, we'll take the first 3 digits from the ... | 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 very clear and specific, containing a simple math problem and a clear instruction to exclude words and show only the math. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.523438 | -0.838867 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_94 | Dove | I got this email:
Hi Guy,
How are things going with Aik? Is there anything we can do better for the Design and Development flow?
Your feedback is much appreciated.
Many thanks!
Maria
My response guidelines:
You really know how to pick them!
Working with Aik is great. He already added much order to our scattered m... | [
{
"content": "I got this email:\n\nHi Guy,\n\nHow are things going with Aik? Is there anything we can do better for the Design and Development flow?\n\nYour feedback is much appreciated.\n\nMany thanks!\nMaria\n\nMy response guidelines:\n\nYou really know how to pick them!\nWorking with Aik is great. He already... | [
{
"content": "I got this email:\n\nHi Guy,\n\nHow are things going with Aik? Is there anything we can do better for the Design and Development flow?\n\nYour feedback is much appreciated.\n\nMany thanks!\nMaria\n\nMy response guidelines:\n\nYou really know how to pick them!\nWorking with Aik is great. He already... | The user wants to respond to an email with a casual and friendly tone, providing positive feedback about working with Aik | To solve this problem, the models need to know how to write a casual and friendly email response, and understand the context of the given email | easy | meta-llama/Llama-3.3-70B-Instruct | excellent | The query is clear and specific, providing context and guidelines for the response. It includes the email to be responded to and the desired tone and content of the response. | meta-llama/Llama-3.3-70B-Instruct | Editing | [
"Advice seeking"
] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.572266 | -0.35498 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_95 | GOAT | What is the solution to the calculation of 52385886826518 - 738170105441? Exclude words; show only the math. | [
{
"content": "What is the solution to the calculation of 52385886826518 - 738170105441? Exclude words; show only the math.",
"role": "user"
},
{
"content": "52385886826518 - 738170105441 = 45004886262407",
"role": "assistant"
}
] | [
{
"content": "What is the solution to the calculation of 52385886826518 - 738170105441? Exclude words; show only the math.",
"role": "user"
},
{
"content": "52385886826518 - 738170105441 = 451718762824. \n",
"role": "assistant"
}
] | The user wants to perform a subtraction calculation | 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 calculation needed, but lacks context on why this calculation is necessary. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.919922 | -1.282227 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_96 | GOAT | Could you please lend me a hand in computing the value of 3794951171 minus 64447078? Numbers and symbols only, please. | [
{
"content": "Could you please lend me a hand in computing the value of 3794951171 minus 64447078? Numbers and symbols only, please.",
"role": "user"
},
{
"content": "Certainly! When you subtract 64447078 from 3794951171, you get:\n\n3794951171 - 64447078 = 3149916813\n\nSo, the resulting value is 3... | [
{
"content": "Could you please lend me a hand in computing the value of 3794951171 minus 64447078? Numbers and symbols only, please.",
"role": "user"
},
{
"content": " To compute the value of 379,495,1171 - 64,447,078, follow these steps:\n\nFirst, separate the numbers into groups of three digits fr... | 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 a calculation 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 | -2.734375 | -0.990234 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_97 | TheoremQA | Let h(x) = 1/(\sqrt{x} + 1). What is h''(x) when x = 1? | [
{
"content": "Let h(x) = 1/(\\sqrt{x} + 1). What is h''(x) when x = 1?",
"role": "user"
},
{
"content": "To find the second derivative of the function h(x) = 1/(\\sqrt{x} + 1) at x = 1, we first need to find the derivatives of the function and then evaluate them at x = 1.\n\nFirst, let's find h'(x) ... | [
{
"content": "Let h(x) = 1/(\\sqrt{x} + 1). What is h''(x) when x = 1?",
"role": "user"
},
{
"content": "Higher order derivatives in calculus refer to the repeated application of the differentiation process on a given function. The first derivative of a function represents the rate of change (slope)... | The user wants to find the second derivative of a given function at a specific point | To solve this problem, the models need to know calculus, specifically differentiation rules | hard | meta-llama/Llama-3.3-70B-Instruct | excellent | The query is clear, specific, and well-formed, providing a function h(x) and asking for its second derivative at x = 1. | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning"
] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.4375 | -0.396484 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_98 | GOAT | Compute the value of 55894099015 + 45224774. Only mathematical symbols, no verbal descriptions. | [
{
"content": "Compute the value of 55894099015 + 45224774. Only mathematical symbols, no verbal descriptions.",
"role": "user"
},
{
"content": "55894099015 + 45224774 = 55939323789",
"role": "assistant"
}
] | [
{
"content": "Compute the value of 55894099015 + 45224774. Only mathematical symbols, no verbal descriptions.",
"role": "user"
},
{
"content": " To compute the value of 55894099015 + 45224774, follow these steps:\n\n1. Line up the numbers according to their place values, ensuring that the addition b... | 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 | good | The query is clear and specific, providing exact numbers for the mathematical operation, but lacks a verbal description as per the instruction. | meta-llama/Llama-3.3-70B-Instruct | Math | [] | meta-llama/Llama-3.3-70B-Instruct | safe | -2.453125 | -1.161133 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
orpo_99 | TheoremQA | What is the smallest number of vertices in a graph that guarantees the existence of a clique of size 3 or an independent set of size 2? | [
{
"content": "What is the smallest number of vertices in a graph that guarantees the existence of a clique of size 3 or an independent set of size 2?",
"role": "user"
},
{
"content": "The smallest number of vertices in a graph that guarantees the existence of a clique of size 3 or an independent set... | [
{
"content": "What is the smallest number of vertices in a graph that guarantees the existence of a clique of size 3 or an independent set of size 2?",
"role": "user"
},
{
"content": "The smallest number of vertices in a graph that guarantees the existence of a clique of size 3 or an independent set... | The user wants to determine the minimum number of vertices required in a graph to ensure it contains either a clique of size 3 or an independent set of size 2 | To solve this problem, the models need to know graph theory concepts, specifically properties of cliques and independent sets | hard | meta-llama/Llama-3.3-70B-Instruct | excellent | The query is very clear and specific, providing all necessary information for understanding the user's intent. It is well-articulated and contains relevant context. | meta-llama/Llama-3.3-70B-Instruct | Math | [
"Reasoning"
] | meta-llama/Llama-3.3-70B-Instruct | safe | -3.298828 | -0.57666 | RLHFlow/ArmoRM-Llama3-8B-v0.1 | EN |
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