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"content": "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on Monday and 2/3 of the remaining books on Tuesday, it will have 140 books left. However, if it lends out 2/3 of its books on Monday and 3/5 of the remaining books on Tuesday, it will have 260 books lef... | A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on Monday and 2/3 of the remaining books on Tuesday, it will have 140 books left. However, if it lends out 2/3 of its books on Monday and 3/5 of the remaining books on Tuesday, it will have 260 books left. How many books did ... | A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on Monday and 2/3 of the remaining books on Tuesday, it will have 140 books left. However, if it lends out 2/3 of its books on Monday and 3/5 of the remaining books on Tuesday, it will have 260 books left. How many books did ... | ai2-adapt-dev/openmath-2-math | Let's denote the initial number of books by \( x \).
### Given:
- On Monday, the library lends out some fraction of the books.
- On Tuesday, it lends out some fraction of the remaining books.
- After these two days, certain numbers of books remain depending on the scenario.
---
### Scenario 1:
- Monday: lends out \(... | 0 | 16,578 | 0 | We are given: library has some number of books X. Problem: "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on Monday and 2/3 of the remaining books on Tuesday, it will have 140 books left. However, if it lends out 2/3 of its books on Monday and 3/5 of the remaining books ... | [
{
"from": "human",
"value": "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on Monday and 2/3 of the remaining books on Tuesday, it will have 140 books left. However, if it lends out 2/3 of its books on Monday and 3/5 of the remaining books on Tuesday, it will... |
[{"content":"A local library has a certain number of books on its shelves. If it lends out 3/5 of it(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Let's denote the initial number of books by \\( x \\).\n\n### Given:\n- On Monday, the library lend(...TRUNCATED) | 1 | 16,578 | 0 | "We are asked: \"A local library has a certain number of books on its shelves. If it lends out 3/5 o(...TRUNCATED) | [{"from":"human","value":"A local library has a certain number of books on its shelves. If it lends (...TRUNCATED) |
[{"content":"A local library has a certain number of books on its shelves. If it lends out 3/5 of it(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Let's denote the initial number of books by \\( x \\).\n\n### Given:\n- On Monday, the library lend(...TRUNCATED) | 2 | 16,578 | 0 | "We are given a problem:\n\n\"A local library has a certain number of books on its shelves. If it le(...TRUNCATED) | [{"from":"human","value":"A local library has a certain number of books on its shelves. If it lends (...TRUNCATED) |
[{"content":"A local library has a certain number of books on its shelves. If it lends out 3/5 of it(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Let's denote the initial number of books by \\( x \\).\n\n### Given:\n- On Monday, the library lend(...TRUNCATED) | 3 | 16,578 | 0 | "We have a problem: A library initially has some books. There is \"if it lends out 3/5 of its books (...TRUNCATED) | [{"from":"human","value":"A local library has a certain number of books on its shelves. If it lends (...TRUNCATED) |
[{"content":"A local library has a certain number of books on its shelves. If it lends out 3/5 of it(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Let's denote the initial number of books by \\( x \\).\n\n### Given:\n- On Monday, the library lend(...TRUNCATED) | 4 | 16,578 | 0 | "We are given a problem: \"A local library has a certain number of books on its shelves. If it lends(...TRUNCATED) | [{"from":"human","value":"A local library has a certain number of books on its shelves. If it lends (...TRUNCATED) |
[{"content":"A local library has a certain number of books on its shelves. If it lends out 3/5 of it(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Let's denote the initial number of books by \\( x \\).\n\n### Given:\n- On Monday, the library lend(...TRUNCATED) | 5 | 16,578 | 0 | "We are asked: \"A local library has a certain number of books on its shelves. If it lends out 3/5 o(...TRUNCATED) | [{"from":"human","value":"A local library has a certain number of books on its shelves. If it lends (...TRUNCATED) |
[{"content":"A local library has a certain number of books on its shelves. If it lends out 3/5 of it(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Let's denote the initial number of books by \\( x \\).\n\n### Given:\n- On Monday, the library lend(...TRUNCATED) | 6 | 16,578 | 0 | "We have a problem. I'll restate the problem.\n\n\"A local library has a certain number of books on (...TRUNCATED) | [{"from":"human","value":"A local library has a certain number of books on its shelves. If it lends (...TRUNCATED) |
[{"content":"A local library has a certain number of books on its shelves. If it lends out 3/5 of it(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Let's denote the initial number of books by \\( x \\).\n\n### Given:\n- On Monday, the library lend(...TRUNCATED) | 7 | 16,578 | 0 | "We are given problem: \"A local library has x number of books on its shelves. If it lends out (3/5)(...TRUNCATED) | [{"from":"human","value":"A local library has a certain number of books on its shelves. If it lends (...TRUNCATED) |
[{"content":"A local library has a certain number of books on its shelves. If it lends out 3/5 of it(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Let's denote the initial number of books by \\( x \\).\n\n### Given:\n- On Monday, the library lend(...TRUNCATED) | 8 | 16,578 | 0 | "We are asked: \"A local library has a certain number of books on its shelves. If it lends out 3/5 o(...TRUNCATED) | [{"from":"human","value":"A local library has a certain number of books on its shelves. If it lends (...TRUNCATED) |
[{"content":"A local library has a certain number of books on its shelves. If it lends out 3/5 of it(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | "A local library has a certain number of books on its shelves. If it lends out 3/5 of its books on M(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Let's denote the initial number of books by \\( x \\).\n\n### Given:\n- On Monday, the library lend(...TRUNCATED) | 9 | 16,578 | 0 | "We are told: \n\"A local library has a certain number of books on its shelves. If it lends out 3/5 (...TRUNCATED) | [{"from":"human","value":"A local library has a certain number of books on its shelves. If it lends (...TRUNCATED) |
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