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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 ...
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 pool itself measures 15 feet by 20 feet. If a gardener wants to put a 2-foot wide border of flowers around the entire walkway, what is the area of the flowers border?" }, { "from": "gpt", "value"...
Question: A rectangular swimming pool is surrounded by a 3-foot wide walkway. The pool itself measures 15 feet by 20 feet. If a gardener wants to put a 2-foot wide border of flowers around the entire walkway, what is the area of the flowers border? Answer: <think> Okay, so there's this rectangular swimming pool that's ...
automath
16,673
[ { "from": "human", "value": "Let \\( X \\) be a locally compact Hausdorff space equipped with a Radon measure \\( \\mu \\). Suppose \\( g: X \\to \\mathbb{C} \\) is a measurable function such that \\( \\int_E g \\, d\\mu = 0 \\) for every Borel set \\( E \\subset X \\) of finite measure. Can we conclude tha...
Question: Let \( X \) be a locally compact Hausdorff space equipped with a Radon measure \( \mu \). Suppose \( g: X \to \mathbb{C} \) is a measurable function such that \( \int_E g \, d\mu = 0 \) for every Borel set \( E \subset X \) of finite measure. Can we conclude that \( g = 0 \) almost everywhere with respect to ...
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 where all the pies are the same size, what is the percentage of a whole pie that Erica took in total?" }, { "from": "gpt", "value": "<think>\nOkay, so Erica went to a pie buffet, right? And sh...
Question: If Erica takes 1/5 of an apple pie and 3/4 of a cherry pie at a pie buffet where all the pies are the same size, what is the percentage of a whole pie that Erica took in total? Answer: <think> Okay, so Erica went to a pie buffet, right? And she took 1/5 of an apple pie and 3/4 of a cherry pie. The question is...
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 and B are working together, they will finish the work in 2 days. In how many days can A do the work alone?" }, { "from": "gpt", "value": "<think>\nOkay, let's see. The problem is about A and B ...
Question: A can do a work in some days. B can do the same work in 6 days. If both A and B are working together, they will finish the work in 2 days. In how many days can A do the work alone? Answer: <think> Okay, let's see. The problem is about A and B working together and figuring out how long A alone would take to do...
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)
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