instruction_seed stringlengths 25 2.4k | source stringclasses 4
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A train is 410 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length
Answer Choices: (A) 20 seconds (B) 44 seconds (C) 40 seconds (D) 50 seconds (E) None of these | tiger_lab_math | [
"<think>\nFirst, convert the train's speed from kilometers per hour to meters per second by multiplying by 5/18. This gives 12.5 m/s.\n\nNext, calculate the total distance the train needs to cover by adding the length of the train and the length of the bridge: 410 m + 140 m = 550 m.\n\nFinally, determine the time i... | 18,014 | [
"<think>\nFirst, I need to determine the total distance the train must cover to pass both its own length and the length of the bridge. The train is 410 meters long, and the bridge is 140 meters long, so the total distance is 410 + 140 = 550 meters.\n\nNext, the speed of the train is given as 45 km/hour. To work wit... | <think>
First, I need to determine the total distance the train must cover to pass both its own length and the length of the bridge. The train is 410 meters long, and the bridge is 140 meters long, so the total distance is 410 + 140 = 550 meters.
Next, the speed of the train is given as 45 km/hour. To work with the di... | [
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"value": "A train is 410 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length\nAnswer Choices: (A) 20 seconds (B) 44 seconds (C) 40 seconds (D) 50 seconds (E) None of these"
},
{
"from": "gpt",
"value": "<think>\nFirst, I need ... |
Find the fraction that equals $0.\overline{73}$. | nvidia_math | [
"<think>\nAlright, so I have this problem where I need to find the fraction that equals 0.\\overline{73}. Hmm, okay. I remember that repeating decimals can be converted into fractions by using some algebra tricks, but I need to recall exactly how to do it. Let me think through this step by step.\n\nFirst, let's den... | 4,274 | [
"<think>\nAlright, so I need to find a fraction that equals 0.\\overline{73}. Hmm, repeating decimals can often be converted into fractions by using some algebra. But to be honest, I'm a bit rusty on the exact steps. Let me try to recall.\n\nFirst off, I remember that a repeating decimal like 0.\\overline{73} means... | <think>
Alright, so I need to find a fraction that equals 0.\overline{73}. Hmm, repeating decimals can often be converted into fractions by using some algebra. But to be honest, I'm a bit rusty on the exact steps. Let me try to recall.
First off, I remember that a repeating decimal like 0.\overline{73} means that the ... | [
{
"from": "human",
"value": "Find the fraction that equals $0.\\overline{73}$."
},
{
"from": "gpt",
"value": "<think>\nAlright, so I need to find a fraction that equals 0.\\overline{73}. Hmm, repeating decimals can often be converted into fractions by using some algebra. But to be honest, I'm a ... |
If the difference between two numbers is 12 and their product is 105, what is the sum of the two numbers? | tiger_math | [
"<think>\nI have two unknown numbers with a difference of 12 and a product of 105.\n\nTo solve this, I'll define the numbers as x and y, where x is larger than y. This gives me the equation x - y = 12.\n\nNext, their product is 105, so I have the equation x * y = 105.\n\nI can use the first equation to express x in... | 384 | [
"<think>\nI will start by defining the two numbers, letting x be the larger number and y be the smaller one. \n\nAccording to the first condition, the difference between the two numbers is 12, so I can write the equation x - y = 12.\n\nThe second condition tells me that their product is 105, which gives me another ... | <think>
I will start by defining the two numbers, letting x be the larger number and y be the smaller one.
According to the first condition, the difference between the two numbers is 12, so I can write the equation x - y = 12.
The second condition tells me that their product is 105, which gives me another equation: ... | [
{
"from": "human",
"value": "If the difference between two numbers is 12 and their product is 105, what is the sum of the two numbers?"
},
{
"from": "gpt",
"value": "<think>\nI will start by defining the two numbers, letting x be the larger number and y be the smaller one. \n\nAccording to the f... |
Max was doing homework in three different subjects. It took him 20 minutes to finish tasks from biology and two times more time to finish history. Geography took him the most time, three times more than history. How much time did Max spend on doing his homework? | tiger_math | [
"<think>\nFirst, I note that Max spent 20 minutes on his biology homework.\n\nNext, the time he spent on history is twice the time he spent on biology, which is 2 * 20 = 40 minutes.\n\nThen, the time he spent on geography is three times the time he spent on history, so that's 3 * 40 = 120 minutes.\n\nFinally, to fi... | 31,645 | [
"<think>\nFirst, I'll establish the time Max spent on biology, which is given as 20 minutes.\n\nNext, since history took two times more than biology, I'll calculate the time for history by multiplying 20 minutes by 2, resulting in 40 minutes.\n\nThen, geography required three times more time than history. I'll mult... | <think>
First, I'll establish the time Max spent on biology, which is given as 20 minutes.
Next, since history took two times more than biology, I'll calculate the time for history by multiplying 20 minutes by 2, resulting in 40 minutes.
Then, geography required three times more time than history. I'll multiply the 4... | [
{
"from": "human",
"value": "Max was doing homework in three different subjects. It took him 20 minutes to finish tasks from biology and two times more time to finish history. Geography took him the most time, three times more than history. How much time did Max spend on doing his homework?"
},
{
"f... |
"In a triangular array of 15 dots, 7 are red and 8 are blue. Let T be the number of lines formed by (...TRUNCATED) | nvidia_math | ["<think>\nOkay, so I have this problem where there's a triangular array of 15 dots, and we're suppo(...TRUNCATED) | 43,310 | ["<think>\nOkay, so I have this problem here about a triangular array of 15 dots, where 7 are red an(...TRUNCATED) | "<think>\nOkay, so I have this problem here about a triangular array of 15 dots, where 7 are red and(...TRUNCATED) | [{"from":"human","value":"In a triangular array of 15 dots, 7 are red and 8 are blue. Let T be the n(...TRUNCATED) |
"Evaluate the expression $\\frac{\\sqrt{338}}{\\sqrt{288}}+\\frac{\\sqrt{150}}{\\sqrt{96}}$ and simp(...TRUNCATED) | tiger_math | ["<think>\nOkay, so I need to evaluate this expression: \\(\\frac{\\sqrt{338}}{\\sqrt{288}} + \\frac(...TRUNCATED) | 5,887 | ["<think>\nAlright, so I've got this expression to evaluate: √338 divided by √288 plus √150 di(...TRUNCATED) | "<think>\nAlright, so I've got this expression to evaluate: √338 divided by √288 plus √150 div(...TRUNCATED) | [{"from":"human","value":"Evaluate the expression $\\frac{\\sqrt{338}}{\\sqrt{288}}+\\frac{\\sqrt{15(...TRUNCATED) |
"How many 20-digit numbers can be formed using the digits from the set $\\{1,2,3,4,5,6,7,8,9\\}$ suc(...TRUNCATED) | automath | ["<think>\nOkay, so I need to figure out how many 20-digit numbers can be formed using the digits 1 (...TRUNCATED) | 36,638 | ["<think>\nOkay, so I need to figure out how many 20-digit numbers can be formed using the digits 1 (...TRUNCATED) | "<think>\nOkay, so I need to figure out how many 20-digit numbers can be formed using the digits 1 t(...TRUNCATED) | [{"from":"human","value":"How many 20-digit numbers can be formed using the digits from the set $\\{(...TRUNCATED) |
"In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the(...TRUNCATED) | tiger_lab_math | ["<think>\nThe boat's speed varies depending on the flow of the stream. When moving along the stream(...TRUNCATED) | 26,986 | ["<think>\nThe boat's speed varies depending on the flow of the stream. When moving along the stream(...TRUNCATED) | "<think>\nThe boat's speed varies depending on the flow of the stream. When moving along the stream,(...TRUNCATED) | [{"from":"human","value":"In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the(...TRUNCATED) |
"Point Y lies on line segment \\(\\overline{XZ}\\) such that \\(XY = 2\\) and \\(YZ = 4\\). Semicirc(...TRUNCATED) | automath | ["<think>\nOkay, so I’ve got this geometry problem here. Let me read it again: Point Y lies on lin(...TRUNCATED) | 28,868 | ["<think>\nOkay, so I have this geometry problem here. Let me try to visualize it first. There's a l(...TRUNCATED) | "<think>\nOkay, so I have this geometry problem here. Let me try to visualize it first. There's a li(...TRUNCATED) | [{"from":"human","value":"Point Y lies on line segment \\(\\overline{XZ}\\) such that \\(XY = 2\\) a(...TRUNCATED) |
"Ned bought 14.0 boxes of chocolate candy and gave 7.0 to his little brother. If each box has 6.0 pi(...TRUNCATED) | tiger_lab_math | ["<think>\nOkay, so I've got this problem here where Ned bought 14 boxes of chocolate candy and gave(...TRUNCATED) | 11,794 | ["<think>\nOkay, so I need to figure out how many pieces of chocolate candy Ned still has. Let's sta(...TRUNCATED) | "<think>\nOkay, so I need to figure out how many pieces of chocolate candy Ned still has. Let's star(...TRUNCATED) | [{"from":"human","value":"Ned bought 14.0 boxes of chocolate candy and gave 7.0 to his little brothe(...TRUNCATED) |
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