conversations listlengths 3 3 | role stringclasses 2
values |
|---|---|
[
{
"content": "You are the proposer in a proposer-solver game. Your task is to create a challenging, well-structured, diverse, and unambiguous mathematical problem that has a verifiable answer, using the provided external and internal knowledge as context. \n\nEnclose the problem statement within <problem>...</p... | proposer |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Convert the binary number $10111_2$ to its decimal equivalent $D$. Treat $D$ as a quantity in **kilobytes** (where $1$ kilobyte $= 10^3$ bytes). Convert this quantity to bytes. I... | solver |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "In triangle ABC, the side lengths are given as AB = $2x + 1$, BC = $3x - 1$, and AC = $4x + 2$. In triangle DEF, the side lengths are DE = $x + 5$, EF = $3x - 1$, and FD = $4x + ... | solver |
[
{
"content": "You are the proposer in a proposer-solver game. Your task is to create a challenging, well-structured, diverse, and unambiguous mathematical problem that has a verifiable numerical answer, using the provided external and internal knowledge as context. \n\nEnclose the problem statement within <prob... | proposer |
[
{
"content": "You are the proposer in a proposer-solver game. Your task is to create a challenging, well-structured, diverse, and unambiguous mathematical problem that has a verifiable numerical answer, using the provided external and internal knowledge as context. \n\nEnclose the problem statement within <prob... | proposer |
[
{
"content": "You are the proposer in a proposer-solver game. Your task is to create a challenging, well-structured, diverse, and unambiguous mathematical problem that has a verifiable numerical answer, using the provided external and internal knowledge as context. \n\nEnclose the problem statement within <prob... | proposer |
[
{
"content": "You are the proposer in a proposer-solver game. Your task is to create a challenging, well-structured, diverse, and unambiguous mathematical problem that has a verifiable numerical answer, using the provided external and internal knowledge as context. \n\nEnclose the problem statement within <prob... | proposer |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "A solid disk with a moment of inertia of $5.0\\,\\text{kg}\\cdot\\text{m}^2$ is subjected to a constant torque of $20\\,\\text{N}\\cdot\\text{m}$ for $4.0\\,\\text{s}$. After thi... | solver |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Find the coefficient of the term containing $ x^4 y^9 $ in the expansion of $ (2x^2 + 3y^3)^5 $.",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find th... | solver |
[
{
"content": "You are the proposer in a proposer-solver game. Your task is to create a challenging, well-structured, diverse, and unambiguous mathematical problem that has a verifiable numerical answer, using the provided external and internal knowledge as context. \n\nEnclose the problem statement within <prob... | proposer |
[
{
"content": "You are the proposer in a proposer-solver game. Your task is to create a challenging, well-structured, diverse, and unambiguous mathematical problem that has a verifiable numerical answer, using the provided external and internal knowledge as context. \n\nEnclose the problem statement within <prob... | proposer |
[
{
"content": "You are the proposer in a proposer-solver game. Your task is to create a challenging, well-structured, diverse, and unambiguous mathematical problem that has a verifiable numerical answer, using the provided external and internal knowledge as context. \n\nEnclose the problem statement within <prob... | proposer |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Given a dataset of $ N = 1024 $ unique strings, each of maximum length $ k = 10 $, calculate the ratio of the space complexity of a hash table (modeled as $ O(N \\cdot k) $) to t... | solver |
[
{
"content": "You are the proposer in a proposer-solver game. Your task is to create a challenging, well-structured, diverse, and unambiguous mathematical problem that has a verifiable answer, using the provided external and internal knowledge as context. \n\nEnclose the problem statement within <problem>...</p... | proposer |
[
{
"content": "You are the proposer in a proposer-solver game. Your task is to create a challenging, well-structured, diverse, and unambiguous mathematical problem that has a verifiable answer, using the provided external and internal knowledge as context. \n\nEnclose the problem statement within <problem>...</p... | proposer |
[
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Given the following code segment, determine the final value of variable `e` after executing all assignments:\n\n```java\nint a = 10;\nint b = 3;\ndouble c = 5.5;\nint d = (a / b)... | solver |
[
{
"content": "You are the proposer in a proposer-solver game. Your task is to create a challenging, well-structured, diverse, and unambiguous mathematical problem that has a verifiable numerical answer, using the provided external and internal knowledge as context. \n\nEnclose the problem statement within <prob... | proposer |
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