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796
119k
tiger_math
16,666
[ { "from": "human", "value": "What is the product of all values of $t$ that satisfy the equation $t^2 = 36$?" }, { "from": "gpt", "value": "<think>\nOkay, so I need to find the product of all values of t that satisfy the equation t squared equals 36. Let me think about how to approach this. Hmm, ...
Question: What is the product of all values of $t$ that satisfy the equation $t^2 = 36$? Answer: <think> Okay, so I need to find the product of all values of t that satisfy the equation t squared equals 36. Let me think about how to approach this. Hmm, quadratic equations usually have two solutions, right? So, maybe th...
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...
tiger_math
16,671
[ { "from": "human", "value": "Surfers enjoy going to the Rip Curl Myrtle Beach Surf Festival. There were 1500 surfers at the Festival on the first day, 600 more surfers on the second day than the first day, and 2/5 as many surfers on the third day as the first day. What is the average number of surfers at th...
Question: Surfers enjoy going to the Rip Curl Myrtle Beach Surf Festival. There were 1500 surfers at the Festival on the first day, 600 more surfers on the second day than the first day, and 2/5 as many surfers on the third day as the first day. What is the average number of surfers at the Festival for the three days? ...
nvidia_math
16,672
[{"from":"human","value":"A rectangular swimming pool is surrounded by a 3-foot wide walkway. The po(...TRUNCATED)
"Question: A rectangular swimming pool is surrounded by a 3-foot wide walkway. The pool itself measu(...TRUNCATED)
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)
tiger_math
16,674
[{"from":"human","value":"If Erica takes 1/5 of an apple pie and 3/4 of a cherry pie at a pie buffet(...TRUNCATED)
"Question: If Erica takes 1/5 of an apple pie and 3/4 of a cherry pie at a pie buffet where all the (...TRUNCATED)
tiger_math
16,675
[{"from":"human","value":"A can do a work in some days. B can do the same work in 6 days. If both A (...TRUNCATED)
"Question: A can do a work in some days. B can do the same work in 6 days. If both A and B are worki(...TRUNCATED)
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