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tiger_lab_math
16,667
[ { "from": "human", "value": "A rabbit can run at a speed of 40 kmph in a field and 30 kmph in a cactus field. This means the rabbit gets hotter running through a? \"Option 1\": cactus field, \"Option 2\" :field Please write a program to solve it" }, { "from": "gpt", "value": "<think>\nOkay, let...
Question: A rabbit can run at a speed of 40 kmph in a field and 30 kmph in a cactus field. This means the rabbit gets hotter running through a? "Option 1": cactus field, "Option 2" :field Please write a program to solve it Answer: <think> Okay, let's see. The question is about a rabbit's speed in two different fields ...
nvidia_math
16,668
[ { "from": "human", "value": "Twenty-five is 40% of what number?" }, { "from": "gpt", "value": "<think>\nOkay, so I need to find out what number 25 is 40% of. Hmm, let's see. I remember that percentages can be converted to decimals by dividing by 100. So 40% would be 0.40. The problem is saying t...
Question: Twenty-five is 40% of what number? Answer: <think> Okay, so I need to find out what number 25 is 40% of. Hmm, let's see. I remember that percentages can be converted to decimals by dividing by 100. So 40% would be 0.40. The problem is saying that 25 is 40% of some number, which I'll call "x" for now. So, tr...
tiger_math
16,669
[ { "from": "human", "value": "What three-digit integer is equal to the difference between the sum of the factorials of its even digits and the sum of the factorials of its odd digits?" }, { "from": "gpt", "value": "<think>\nOkay, so I need to find a three-digit integer where the difference betwee...
Question: What three-digit integer is equal to the difference between the sum of the factorials of its even digits and the sum of the factorials of its odd digits? Answer: <think> Okay, so I need to find a three-digit integer where the difference between the sum of the factorials of its even digits and the sum of the f...
tiger_math
16,670
[ { "from": "human", "value": "If I have a $4\\times 4$ chess board, in how many ways can I place four distinct pawns on the board such that each column and row of the board contains no more than one pawn?" }, { "from": "gpt", "value": "<think>\nOkay, so I need to figure out how many ways I can pl...
Question: If I have a $4\times 4$ chess board, in how many ways can I place four distinct pawns on the board such that each column and row of the board contains no more than one pawn? Answer: <think> Okay, so I need to figure out how many ways I can place four distinct pawns on a 4x4 chessboard such that each row and e...
automath
16,673
[{"from":"human","value":"Let \\( X \\) be a locally compact Hausdorff space equipped with a Radon m(...TRUNCATED)
"Question: Let \\( X \\) be a locally compact Hausdorff space equipped with a Radon measure \\( \\mu(...TRUNCATED)
nvidia_math
16,676
[{"from":"human","value":"A large group of people are invited to a party, and each person is given a(...TRUNCATED)
"Question: A large group of people are invited to a party, and each person is given a random task to(...TRUNCATED)
tiger_lab_math
16,677
[{"from":"human","value":"If x ¤ y = (x + y)^2 - (x - y)^2. Then √11 ¤ √11 =\nAnswer Choices: (...TRUNCATED)
"Question: If x ¤ y = (x + y)^2 - (x - y)^2. Then √11 ¤ √11 =\nAnswer Choices: (A) 44 (B) 5 (C(...TRUNCATED)
tiger_lab_math
16,680
[{"from":"human","value":"At the end of a circus act, there are 12 dogs on stage. Half of the dogs (...TRUNCATED)
"Question: At the end of a circus act, there are 12 dogs on stage. Half of the dogs are standing on(...TRUNCATED)
automath
16,681
[{"from":"human","value":"In category theory, consider two functors \\( F: \\mathcal{C} \\to \\mathc(...TRUNCATED)
"Question: In category theory, consider two functors \\( F: \\mathcal{C} \\to \\mathcal{D} \\) and \(...TRUNCATED)
nvidia_math
16,682
[{"from":"human","value":"Find all real numbers $x$ such that \\[2 \\le \\frac{x}{3x-4} < 5.\\](Give(...TRUNCATED)
"Question: Find all real numbers $x$ such that \\[2 \\le \\frac{x}{3x-4} < 5.\\](Give your answer in(...TRUNCATED)
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