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"content": "In a music festival, five bands are scheduled to perform on a single stage. The stage has a rectangular shape with a length of 15 meters and a width of 8 meters. Each band requires a different amount of space on the stage, as follows:\n\n* Band A requires a rectangular area of ... |
[
{
"role": "user",
"content": "A linear function $f(x) = ax + b$ is defined on the interval $[-10, 10]$ such that the sum of the absolute values of $f(x)$ at $100$ evenly spaced points in the interval is equal to $1000$. Let $M$ be the maximum possible value of $|f(0)|$ and let $m$ be the minimum possible va... |
[{"role":"user","content":"A linear function $f(x) = ax + b$ is defined on the interval $[-10, 10]$ (...TRUNCATED) |
[{"role":"user","content":"A linear function $f(x) = ax + b$ is defined on the interval $[-10, 10]$ (...TRUNCATED) |
[{"role":"user","content":"A linear function $f(x) = ax + b$ is defined on the interval $[-10, 10]$ (...TRUNCATED) |
[{"role":"user","content":"In a mathematical competition, six teams are participating, and each team(...TRUNCATED) |
[{"role":"user","content":"In a mathematical competition, six teams are participating, and each team(...TRUNCATED) |
[{"role":"user","content":"In a mathematical competition, six teams are participating, and each team(...TRUNCATED) |
[{"role":"user","content":"In a mathematical competition, six teams are participating, and each team(...TRUNCATED) |
[{"role":"user","content":"In a mathematical competition, six teams are participating, and each team(...TRUNCATED) |
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