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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>. # Problem Using the numbers in the list [73, 100, 35], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
100 + 73 - 35
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[ { "content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [73, 100, 35], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nBegin your response with \"Rewritten Question: \" and by rewriting the question making it contain only what is needed to solve it, then think step by step and then give your resulting equation or number as the answer in the \"<answer>\n(your answer)\n</answer>\" tags.", "role": "user" } ]
[ "To solve this problem, we need to use the numbers [73, 100, 35] and the arithmetic operations (+, -, *, /) to get the target number 138. Let's break it down step by step.\n\n1. We start with the number 73.\n2. We need to reach 138, so we need to add some numbers to 73 to get close to 138.\n3. We can use the number 100, which is close to 138. We can add 100 to 73 to get 173.\n4. Now, we need to get from 173 to 138. We can subtract 35 from 173 to get 138.\n5. So, the final equation would be: 73 + 100 - 35 = 138.\n\nTherefore, the final answer is:\n<answer>\nStep 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to reach the target number 138. We can start by trying different combinations of these numbers and operations.\n\nStep 1: Let's try using 73, 100, and 35 in a combination that might lead us to 138.\n\nStep 2: One possible combination is:\nStep 2.1: 73 * 2 = 146\nStep 2.2: 146 - 100 = 46\nStep 2.3: 46 + 35 = 81\nStep 2.4: 81 * 1.7 = 138\n\nSo, the final answer is:\n<answer>\nStep 1: 73 * 2 = 146\nStep 2: 146 - 100 = 46\nStep 3: 46 + 35 = 81\nStep 4: 81 * 1.7 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to get the target number 138. Let's break it down:\n\n1. First, we need to combine the numbers 73 and 100 to get a number close to 138.\n2. Then, we need to adjust the result to get exactly 138.\n\nLet's start by combining 73 and 100:\n73 + 100 = 173\n\nNow we have 173, which is still quite far from 138. We need to adjust this number. Let's try dividing 173 by 35:\n173 / 35 ≈ 4.914\n\nThis is still not close enough to 138. Let's try multiplying 173 by 35:\n173 * 35 = 5955\n\nThis is much too large. Let's try subtracting 35 from 173:\n173 - 35 = 138\n\nThis gives us exactly 138. So, the equation is:\n173 - 35 = 138\n\nNow, let's write this in the required format:\n\n<answer>\nStep 1: 173 - 35 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to get the target number 138. Let's break it down:\n\nStep 1: We can start by adding 100 and 35 to get a number close to 138. \nStep 2: Now, we need to add 73 to this result to reach the target number 138.\n\nTherefore, the equation is:\nStep 1: 100 + 35 = 135\nStep 2: 135 + 73 = 208\n\nHowever, we need to reach 138, not 208. Let's try another approach:\n\nStep 1: Subtract 73 from 100 to get a smaller number.\nStep 2: Now, we need to add 35 to this result to get closer to 138.\nStep 3: Finally, add 100 to this result to reach the target number 138.\n\nTherefore, the equation is:\nStep 1: 100 - 73 = 27\nStep 2: 27 + 35 = 62\nStep 3: 62 + 100 = 162\n\nThis approach doesn't work either. Let's try a different approach:\n\nStep 1: Multiply 100 by 35 to get a larger number.\nStep 2: Now, we need to subtract 73 from this result to get closer to 138.\nStep 3: Finally, add 73 to this result to reach the target number 138.\n\nTherefore, the equation is:\nStep 1: 100 * 35 = 3500\nStep 2: 3500 - 73 = 3427\nStep 3: 3427 + 73 = 138\n\nThe final answer is:\n<answer>\nStep 1: 100 * 35 = 3500\nStep 2: 3500 - 73 = 3427\nStep 3: 3427 + 73 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and apply basic arithmetic operations to get the target number 138. Let's break it down step by step:\n\n1. First, we can try adding 73 and 100:\n 73 + 100 = 173\n\n2. Next, we can subtract 35 from 173:\n 173 - 35 = 138\n\nSo, the final equation is:\n<answer>\nStep 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138\n</answer>", "To solve the problem of creating an equation using the numbers [73, 100, 35] that equals 138, we can follow these steps:\n\nStep 1: We need to use each number once and combine them using basic arithmetic operations.\nStep 2: One possible way to get close to 138 is to use multiplication and addition.\nStep 3: Let's try the following equation:\n 73 * 35 = 2555\n 2555 + 100 = 2655\n 2655 - 138 = 2517\n\nSo, the final answer is:\n<answer>\nStep 1: 73 * 35 = 2555\nStep 2: 2555 + 100 = 2655\nStep 3: 2655 - 138 = 2517\n</answer>", "To solve the problem, we need to use the numbers [73, 100, 35] and apply basic arithmetic operations (+, -, *, /) to get the target number 138. Let's break it down:\n\n1. First, we need to add 73 and 100:\n 73 + 100 = 173\n\n2. Now, we need to subtract 35 from the result:\n 173 - 35 = 138\n\nSo, the final equation is:\n173 - 35 = 138\n\n<answer>\nStep 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to reach the target number 138.\n\nStep 1: First, let's try adding 73 and 35 together:\n73 + 35 = 108\n\nStep 2: Now, we need to find a way to get closer to 138. We can try subtracting 108 from 138:\n138 - 108 = 30\n\nStep 3: Finally, we need to add 35 to 30 to reach our target:\n30 + 35 = 65\n\nSo, the final equation that equals 138 is:\n138 = 73 + 35 - 108 + 35\n\n<answer>\nStep 1: 73 + 35 = 108\nStep 2: 108 - 100 = 8\nStep 3: 8 + 35 = 43\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to reach the target number 138. Let's break it down:\n\n1. We start with the number 73.\n2. We can add 100 to 73 to get 173.\n3. Now, we need to reach 138. We can subtract 35 from 173 to get 138.\n\nSo, the final equation is:\n<answer>\nStep 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to reach the target number 138. Let's break it down:\n\n1. We start with the number 73.\n2. We can use the number 100 and the operation of multiplication to get a large number. Let's multiply 73 by 100:\n 73 * 100 = 7300\n3. Now, we need to get close to 138. We can use the number 35 and the operation of division to get a smaller number. Let's divide 7300 by 35:\n 7300 / 35 = 209.142857\n4. We can use the number 100 again and the operation of multiplication to get a larger number. Let's multiply 209.142857 by 100:\n 209.142857 * 100 = 20914.2857\n5. Finally, we need to get closer to 138. We can use the number 35 again and the operation of division to get a smaller number. Let's divide 20914.2857 by 35:\n 20914.2857 / 35 = 597.836977\n6. We can use the number 100 again and the operation of multiplication to get a larger number. Let's multiply 597.836977 by 100:\n 597.836977 * 100 = 59783.6977\n\nSo, the final equation that equals 138 is:\n73 * 100 / 35 * 100 / 35 = 138\n\n<answer>\nStep 1: 73 * 100 = 7300\nStep 2: 7300 / 35 = 209.142857\nStep 3: 209.142857 * 100 = 20914.2857\nStep 4: 20914.2857 / 35 = 597.836977\nStep 5: 597.836977 * 100 = 59783.6977\n</answer>", "To solve the problem of creating an equation using the numbers [73, 100, 35] that equals 138, we need to find a combination of arithmetic operations that will yield the target result. Here's a step-by-step approach:\n\n1. Start with the numbers given: 73, 100, and 35.\n2. We need to use these numbers and basic arithmetic operations to reach the target number 138.\n3. Let's try different combinations of operations to see if we can get close to 138.\n\nStep 3: 100 - 35 = 65\nStep 4: 73 + 65 = 138\n\nTherefore, the equation that equals 138 using the numbers [73, 100, 35] is:\n\n<answer>\nStep 1: 100 - 35 = 65\nStep 2: 73 + 65 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to get the target number 138. Let's break it down:\n\n1. We start with the number 73.\n2. We can multiply it by 2 to get 146.\n3. Now, we have 146 - 100 = 46.\n4. Finally, we add 35 to 46 to get 81.\n\nSo, the equation that equals 138 is:\n<answer>\nStep 1: 73 * 2 = 146\nStep 2: 146 - 100 = 46\nStep 3: 46 + 35 = 81\n</answer>", "To solve the problem, we need to use the numbers [73, 100, 35] and apply basic arithmetic operations (+, -, *, /) to get the target number 138. Let's break it down:\n\nStep 1: We can start by trying to use one of the numbers directly.\nStep 2: If we try to use 73 directly, we can see that 73 * 2 = 146, which is too high. So, we need to adjust our approach.\nStep 3: Let's try using 100 and 35. If we subtract 35 from 100, we get 65. Now, we need to get closer to 138.\nStep 4: We can add 73 to 65, which gives us 138. This is exactly what we need.\n\nTherefore, the final answer is:\n<answer>\nStep 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138\n</answer>", "To solve the problem, we need to use the numbers [73, 100, 35] and apply basic arithmetic operations to get the target number 138.\n\nStep 1: Start with the number 73.\nStep 2: Add 100 to 73 to get 173.\nStep 3: Divide 173 by 35 to get the result.\n\n<answer>\nStep 1: 73 + 100 = 173\nStep 2: 173 / 35 = 4.91428571429\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to get the target number 138.\n\nStep 1: Let's start by trying to add the numbers together to see if we can get close to 138.\n\n73 + 100 + 35 = 208\n\nStep 2: Now, we need to adjust the equation to get closer to 138. We can subtract 70 from 208 to get 138.\n\n208 - 70 = 138\n\nTherefore, the final answer is:\n\n<answer>\nStep 1: 73 + 100 + 35 = 208\nStep 2: 208 - 70 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to reach the target number 138. Let's break it down:\n\nStep 1: Start with the number 100.\nStep 2: Add 35 to 100 to get 135.\nStep 3: Subtract 73 from 135 to get 62.\nStep 4: Add 73 to 62 to get 135.\nStep 5: Subtract 100 from 135 to get 35.\nStep 6: Add 100 to 35 to get 135.\n\nNow let's write the steps as a series of arithmetic operations:\n\n<answer>\nStep 1: 100 + 35 = 135\nStep 2: 135 - 73 = 62\nStep 3: 62 + 73 = 135\nStep 4: 135 - 100 = 35\nStep 5: 35 + 100 = 135\n</answer>", "To solve the problem using the numbers [73, 100, 35], we need to find an equation that equals 138. Let's break it down step by step:\n\n1. We start with the number 100.\n2. We need to add a number to 100 to get close to 138. The closest number we can add is 35, because 100 + 35 = 135.\n3. Now we have 135, but we need to get to 138. We can do this by adding 3, because 135 + 3 = 138.\n\nSo, the equation is:\n100 + 35 + 3 = 138\n\nThe final answer in <answer> </answer> tags is:\n<answer>\nStep 1: 100 + 35 = 135\nStep 2: 135 + 3 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to get the target number 138.\n\nStep 1: First, let's try to use the number 100 as the base number.\nStep 2: We can add 73 to 100 to get 173.\nStep 3: Now, we need to reach 138. We can do this by subtracting 35 from 173.\nStep 4: 173 - 35 = 138\n\nSo, the final answer is:\n<answer>\nStep 1: 100 + 73 = 173\nStep 2: 173 - 35 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to get the target number 138. We can use each number only once and need to find the correct sequence of operations.\n\nStep 1: First, let's try to get a number close to 138. We can start with 100 and see if we can use the other numbers to get closer to 138.\n\nStep 2: Let's try to use 73 and 35 to get a number close to 138. We can try different combinations of operations.\n\nStep 3: After some trial and error, let's try the following combination:\n\nStep 4: 100 - 35 = 65\nStep 5: 73 * 65 = 4855\n\nStep 6: This combination doesn't work, so let's try another combination.\n\nStep 7: Let's try:\n\nStep 8: 100 - 35 = 65\nStep 9: 65 * 35 = 2275\n\nStep 10: This combination also doesn't work, so let's try another combination.\n\nStep 11: Let's try:\n\nStep 12: 100 - 35 = 65\nStep 13: 65 / 35 = 1.857\n\nStep 14: This combination also doesn't work, so let's try another combination.\n\nStep 15: Let's try:\n\nStep 16: 100 - 35 = 65\nStep 17: 65 + 35 = 100\n\nStep 18: This combination works, and we get the target number 138.\n\nFinal answer: <answer>\nStep 1: 100 - 35 = 65\nStep 2: 65 + 35 = 100\nStep 3: 100 * 1.857 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the arithmetic operations (+, -, *, /) to reach the target number 138. Let's break it down:\n\n1. Start with 73 and 100.\n2. We need to get close to 138, so let's try to add or subtract a number to make the sum or difference close to 138.\n\nLet's try:\nStep 1: 73 + 100 = 173\n\nNow we have 173, which is close to 138. We need to adjust this to get to 138.\n\n3. We can subtract 35 to get closer to 138:\nStep 2: 173 - 35 = 138\n\nSo, the equation is:\nStep 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138\n\nTherefore, the final answer is:\n<answer>\nStep 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to reach the target number 138. We will use each number only once.\n\nStep 1: Let's start by adding 73 and 35.\nStep 2: Now, we have 108. We need to reach 138, so we need to add 30 more.\nStep 3: To get 30, we can subtract 10 from 108.\nStep 4: Now, we have 100. We need to reach 138, so we need to add 38 more.\nStep 5: To get 38, we can subtract 10 from 48, but we don't have 48 yet. Instead, we can use the number 100 and subtract 62 from it.\nStep 6: To get 62, we can subtract 35 from 97, but we don't have 97 yet. Instead, we can use the number 100 and subtract 38 from it.\nStep 7: Now, we have 100. We need to reach 138, so we need to add 38 more.\nStep 8: To get 38, we can subtract 10 from 48, but we don't have 48 yet. Instead, we can use the number 100 and subtract 62 from it.\nStep 9: Now, we have 100. We need to reach 138, so we need to add 38 more.\n\nFinal answer:\n<answer>\nStep 1: 73 + 35 = 108\nStep 2: 108 + 30 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the arithmetic operations (+, -, *, /) to reach the target number 138. Let's break it down:\n\n1. Start with the number 73.\n2. We need to get closer to 138. Let's try adding 35 to 73:\n 73 + 35 = 108\n3. Now we have 108. We need to get to 138. Let's try multiplying 108 by 3:\n 108 * 3 = 324\n4. We have 324. Now we need to get to 138. Let's try subtracting 324 from 100:\n 100 - 324 = -224\n5. This doesn't work. Let's try a different approach.\n\nInstead, let's try:\n1. Start with 73.\n2. Add 35 to get 108.\n3. Add 100 to get 208.\n4. Subtract 70 to get 138.\n\nSo, the equation is:\nStep 1: 73 + 35 = 108\nStep 2: 108 + 100 = 208\nStep 3: 208 - 70 = 138\n\n<answer>\nStep 1: 73 + 35 = 108\nStep 2: 108 + 100 = 208\nStep 3: 208 - 70 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to reach the target number 138.\n\nStep 1: Let's start by trying to use the largest number, 100, to get close to 138.\nStep 2: We can try to subtract 73 from 100, which gives us 27.\nStep 3: Now, we need to get close to 138 from 27. We can try multiplying 27 by 5, which gives us 135.\nStep 4: Finally, we can add 35 to 135 to get the target number 138.\n\nSo, the equation that equals 138 is:\n<answer>\nStep 1: 100 - 73 = 27\nStep 2: 27 * 5 = 135\nStep 3: 135 + 35 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to get the target number 138.\n\nStep 1: Let's start by trying to use the largest number, 100, and see if we can get close to 138.\nStep 2: We can subtract 73 from 100 to get 27.\nStep 3: Now, we have 27 and 35. We can multiply 27 by 35 to get 945.\nStep 4: Finally, we need to add 35 to 945 to get 1080.\n\nTherefore, the final equation is:\n100 - 73 = 27\n27 * 35 = 945\n945 + 35 = 1080\n\nThe final answer is:\n<answer>\nStep 1: 100 - 73 = 27\nStep 2: 27 * 35 = 945\nStep 3: 945 + 35 = 1080\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to reach the target number 138. Let's break it down:\n\n1. Start with 73 and add 100:\n Step 1: 73 + 100 = 173\n\n2. Now we have 173 and we need to reach 138. We can use the remaining number 35 and subtract it from 173:\n Step 2: 173 - 35 = 138\n\nSo, the final equation is:\nStep 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138\n\nTherefore, the answer is:\n<answer>\nStep 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to get the target number 138. Let's break it down:\n\n1. We need to combine the numbers in a way that results in 138.\n2. Let's start by trying to use the largest numbers first to make the calculation easier.\n\nStep 1: Let's try to use 100 as a multiplier because it's close to our target number.\n 100 * 1.38 = 138\n\nStep 2: Now, we need to get 1.38 from our numbers [73, 100, 35].\n 1.38 = 100 / 73\n\nStep 3: So, the final equation would be:\n 100 * (100 / 73) = 138\n\n<answer>\nStep 1: 100 * 1.38 = 138\n</answer>", "To solve the problem of creating an equation using the numbers [73, 100, 35] that equals 138, we can follow these steps:\n\n1. Start by considering the target number we want to achieve, which is 138.\n2. We need to use the numbers 73, 100, and 35 exactly once.\n3. We can use basic arithmetic operations: addition (+), subtraction (-), multiplication (*), and division (/).\n4. Let's try to combine these numbers and operations to get as close as possible to 138.\n\nStep-by-step process:\n\nStep 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138\n\nSo, the final equation that equals 138 is:\n<answer>\nStep 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138\n</answer>", "To solve the problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to reach the target number 138. Let's break it down:\n\nStep 1: We need to get close to 138. Let's start by using 100 and 35. \nStep 2: We can use 73 and subtract 35 to get 38. \nStep 3: Now we have 100 and 38. We can add them together to get 138.\n\nSo, the equation is:\n<answer>\nStep 1: 100 - 35 = 65\nStep 2: 73 + 65 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to reach the target number 138.\n\nStep 1: Start with the number 73.\nStep 2: We need to get close to 138, so let's try to use the other numbers in a way that will help us reach this target.\nStep 3: We can use the number 100 and the number 35. Let's see if we can combine them in a way that will give us 138.\n\nLet's try:\nStep 4: 100 * 35 = 3500\nStep 5: Now we need to get 138 from 3500. We can do this by dividing 3500 by 25.\nStep 6: 3500 / 25 = 140\nStep 7: Now we need to get 140 from 138. We can do this by subtracting 2 from 140.\nStep 8: 140 - 2 = 138\n\nSo, the equation is:\nStep 1: 73\nStep 2: 100 * 35 = 3500\nStep 3: 3500 / 25 = 140\nStep 4: 140 - 2 = 138\n\nTherefore, the final answer is:\n<answer>\nStep 1: 73\nStep 2: 100 * 35 = 3500\nStep 3: 3500 / 25 = 140\nStep 4: 140 - 2 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and apply basic arithmetic operations (+, -, *, /) to reach the target number 138. Let's break it down:\n\nStep 1: We can start by trying to use the largest number, 100, and see if we can get close to 138.\n\nStep 2: If we divide 100 by 73, we get approximately 1.37. This is close to 1, so let's use 100 and 73 in a way that gives us a result close to 138.\n\nStep 3: Now, let's try to use the remaining number, 35, to adjust the result. If we multiply the result of 100 / 73 by 35, we can get closer to 138.\n\nStep 4: Let's calculate the final result:\n\n100 / 73 * 35 = 49.30208333333333\n\nThis result is not exactly 138, so let's try a different approach:\n\nStep 5: Instead of multiplying, let's try adding 35 to the result of 100 / 73:\n\n100 / 73 * 35 + 35 = 138\n\nTherefore, the final answer is:\n\n<answer>\nStep 1: 100 / 73 = 1.37\nStep 2: 1.37 * 35 = 48.95\nStep 3: 48.95 + 35 = 83.95\nStep 4: 83.95 + 35 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to reach the target number 138. Let's break it down:\n\n1. We need to combine these numbers to get as close to 138 as possible.\n2. We can start by multiplying 73 and 100 to get a large number.\n3. Then, we can use the remaining number 35 to adjust the result to reach 138.\n\nLet's calculate:\n\nStep 1: 73 * 100 = 7300\nStep 2: 7300 + 35 = 7335\nStep 3: 7335 - 607 = 138\n\nSo, the final equation is:\n\n<answer>\nStep 1: 73 * 100 = 7300\nStep 2: 7300 + 35 = 7335\nStep 3: 7335 - 607 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to get the target number 138. Let's break it down:\n\nStep 1: We can start by adding 73 and 100.\nStep 2: Then, we need to multiply the result by 35.\n\nLet's perform these steps:\n\nStep 1: 73 + 100 = 173\nStep 2: 173 * 35 = 5955\n\nHowever, this does not give us the target number 138. We need to find another combination of operations and numbers that will give us 138.\n\nLet's try another approach:\n\nStep 1: We can start by subtracting 35 from 100.\nStep 2: Then, we can add 73 to the result.\n\nLet's perform these steps:\n\nStep 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138\n\nNow we have the target number 138. Let's write the final answer in the <answer> tags:\n\n<answer>\nStep 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to get the target number 138.\n\nStep 1: We can start by adding 73 and 100.\n73 + 100 = 173\n\nStep 2: Now, we need to get closer to 138. We can subtract 35 from the result of Step 1.\n173 - 35 = 138\n\nSo, the final equation is:\n173 - 35 = 138\n\n<answer>\nStep 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138\n</answer>", "To solve the problem of creating an equation using the numbers [73, 100, 35] that equals 138, we need to use basic arithmetic operations and ensure each number is used exactly once.\n\nHere's a step-by-step breakdown:\n\n1. **Step 1:** We need to get close to 138. Let's start with the larger numbers.\n2. **Step 2:** We can use multiplication to quickly increase the value.\n3. **Step 3:** We can then use addition to fine-tune the result.\n\nLet's start with the multiplication:\n- Multiplying 100 and 35 gives us 3500. This is too large, so we need to reduce it.\n\nNow, let's use subtraction to reduce the value:\n- Subtracting 73 from 3500 gives us 3427.\n\nNext, we need to adjust this to get closer to 138. We can use division:\n- Dividing 3427 by 25 gives us approximately 137.08. This is very close to 138.\n\nFinally, we can use addition to reach exactly 138:\n- Adding 1 to 137.08 gives us 138.\n\nSo, the equation is:\n\\[ 137.08 = 100 \\times 3.5 - 73 + 1 \\]\n\nTherefore, the final answer is:\n<answer>\nStep 1: 100 * 3.5 = 350\nStep 2: 350 - 73 = 277\nStep 3: 277 + 1 = 138\n</answer>", "To solve the problem of creating an equation using the numbers [73, 100, 35] that equals 138, we can follow these steps:\n\n1. First, let's try to use the largest number, 100, as a starting point.\n2. We can subtract 35 from 100 to get 65.\n3. Now, we need to get close to 138. We can add 73 to 65 to get 138.\n\nSo, the equation would be:\n100 - 35 + 73 = 138\n\nNow, let's break it down step by step:\nStep 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138\n\nTherefore, the final answer is:\n<answer>\nStep 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the arithmetic operations (+, -, *, /) to get the target number 138.\n\nStep 1: We can start by adding 73 and 35, which gives us 108.\nStep 2: Now, we need to reach 138 from 108. We can do this by adding 30 to 108.\nStep 3: To get 30, we can subtract 100 from 73. This gives us 30.\n\nSo, the final equation is: 73 + 35 - 100 = 138.\n\n<answer>\nStep 1: 73 + 35 = 108\nStep 2: 108 - 100 = 8\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the arithmetic operations (+, -, *, /) to get the target number 138. We can start by trying different combinations of these numbers and operations.\n\nStep 1: Let's try to use the number 100 first. We can divide 100 by 73 to get a decimal result. \n\nStep 2: Now, we need to add 35 to the result from Step 1. This will give us the final result of 138.\n\nStep 3: Let's perform the calculation:\n\n100 / 73 = 1.369863\n1.369863 + 35 = 36.369863\n\nTherefore, the final answer is:\n\n<answer>\nStep 1: 100 / 73 = 1.369863\nStep 2: 1.369863 + 35 = 36.369863\n</answer>", "To solve the problem of creating an equation using the numbers [73, 100, 35] that equals 138, we need to find the right combination of operations. Let's start by considering the possible operations and how they can be applied to the numbers.\n\n1. **Step 1: 1 + 2 = 3**\n2. **Step 2: 3 * 35 = 105**\n3. **Step 3: 105 - 73 = 32**\n4. **Step 4: 32 + 100 = 132**\n\nSo, the final equation is:\n\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 * 35 = 105\nStep 3: 105 - 73 = 32\nStep 4: 32 + 100 = 132\n</answer>", "To solve the problem using the numbers [73, 100, 35] and basic arithmetic operations, we can follow these steps:\n\n1. First, let's try to use the numbers in a way that we can reach 138.\n2. We can start by trying to combine the numbers in a way that allows us to use them in a multiplication or addition that results in 138.\n3. One possible approach is to use the number 100 as a base and adjust it using the other two numbers.\n\nLet's break it down:\n\nStep 1: We can start by trying to use 100 as a base.\nStep 2: We can then try to adjust 100 using the other two numbers.\nStep 3: We can use the numbers in a way that allows us to reach 138.\n\nLet's try the following equation:\n\nStep 1: 100 - 73 = 27\nStep 2: 27 * 35 = 945\n\nSo, the final equation is:\n\n<answer>\nStep 1: 100 - 73 = 27\nStep 2: 27 * 35 = 945\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to get the target number 138. We can use each number only once.\n\nStep 1: 73 * 35 = 2555\nStep 2: 2555 - 100 = 2455\nStep 3: 2455 - 138 = 2317\n\nTherefore, the final answer is:\n\n<answer>\nStep 1: 73 * 35 = 2555\nStep 2: 2555 - 100 = 2455\nStep 3: 2455 - 138 = 2317\n</answer>", "To solve the problem using the numbers [73, 100, 35] and the operations (+, -, *, /), we need to reach the target number 138. Here's a step-by-step approach:\n\n1. Start with the first number, 73.\n2. Multiply it by 35 to get a large number quickly: 73 * 35 = 2555.\n3. Add 100 to this result: 2555 + 100 = 2655.\n4. Finally, subtract 35 from this result: 2655 - 35 = 2620.\n\nSo, the final equation is:\n\n<answer>\nStep 1: 73 * 35 = 2555\nStep 2: 2555 + 100 = 2655\nStep 3: 2655 - 35 = 2620\n</answer>", "To solve the problem of creating an equation using the numbers [73, 100, 35] that equals 138, we need to use basic arithmetic operations (+, -, *, /) and ensure each number is used exactly once.\n\nLet's break it down step by step:\n\n1. **Identify the target number**: We need to reach the number 138.\n\n2. **Consider possible operations**: We can use addition, subtraction, multiplication, and division.\n\n3. **Start with a combination of numbers**: Let's try to combine the numbers in a way that might lead us to 138.\n\n - First, let's try to use multiplication and addition/subtraction to get close to 138.\n\n4. **Trial and error**:\n - Let's start with the multiplication of 73 and 35:\n \\[\n 73 \\times 35 = 2555\n \\]\n This is too large, so let's try a smaller number.\n\n - Now, let's try using 73 and 100:\n \\[\n 73 \\times 100 = 7300\n \\]\n This is still too large.\n\n - Let's try a smaller combination:\n \\[\n 73 \\times 10 = 730\n \\]\n \\[\n 730 \\times 35 = 25550\n \\]\n This is also too large.\n\n - Let's try a different approach:\n \\[\n 73 \\times 10 = 730\n \\]\n \\[\n 730 + 35 = 765\n \\]\n This is still too large.\n\n - Let's try another combination:\n \\[\n 73 \\times 10 = 730\n \\]\n \\[\n 730 - 100 = 630\n \\]\n This is still too large.\n\n - Let's try a different combination:\n \\[\n 73 \\times 10 = 730\n \\]\n \\[\n 730 - 35 = 700\n \\]\n This is still too large.\n\n - Let's try a different combination:\n \\[\n 73 \\times 10 = 730\n \\]\n \\[\n 730 + 35 = 765\n \\]\n This is still too large.\n\n - Let's try a different combination:\n \\[\n 73 \\times 10 = 730\n \\]\n \\[\n 730 - 35 = 700\n \\]\n This is still too large.\n\n5. **Final attempt**:\n - Let's try a different combination:\n \\[\n 73 \\times 10 = 730\n \\]\n \\[\n 730 - 35 = 700\n \\]\n This is still too large.\n\n6. **Final combination**:\n - Let's try a different combination:\n \\[\n 73 \\times 10 = 730\n \\]\n \\[\n 730 - 35 = 700\n \\]\n This is still too large.\n\nAfter several trials, we find that the correct combination is:\n\\[\n73 \\times 10 = 730\n\\]\n\\[\n730 - 35 = 700\n\\]\n\\[\n700 + 35 = 735\n\\]\n\\[\n735 + 10 = 745\n\\]\n\nTherefore, the final equation is:\n\\[\n73 \\times 10 - 35 + 35 = 745\n\\]\n\nSo, the final answer is:\n<answer>\nStep 1: 73 * 10 = 730\nStep 2: 730 - 35 = 700\nStep 3: 700 + 35 = 735\nStep 4: 735 + 10 = 745\n</answer>", "To solve the problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to reach the target number 138.\n\nStep 1: First, let's try to use the number 100 as a starting point.\nStep 2: We can add 35 to 100 to get 135.\nStep 3: Now, we need to get closer to 138. We can use the remaining number 73.\nStep 4: We can subtract 73 from 135 to get 62.\nStep 5: Finally, we can add 16 to 62 to reach 138.\n\nSo, the final equation is:\n<answer>\nStep 1: 100 + 35 = 135\nStep 2: 135 - 73 = 62\nStep 3: 62 + 16 = 138\n</answer>", "To solve the problem of creating an equation using the numbers [73, 100, 35] that equals 138, we can follow these steps:\n\nStep 1: We need to use each number once. Let's start by trying to combine the larger numbers to get close to 138.\n\nStep 2: Notice that 100 is a multiple of 35. We can use this to our advantage.\n\nStep 3: We can try to add 100 to 73 and then subtract 35 to get as close to 138 as possible.\n\nStep 4: Let's calculate this step by step:\n\nStep 4.1: 73 + 100 = 173\nStep 4.2: 173 - 35 = 138\n\nSo, the equation that equals 138 using the numbers [73, 100, 35] is:\n\nStep 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138\n\nTherefore, the final answer is:\n\n<answer>\nStep 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to reach the target number 138. Let's break it down:\n\n1. First, we need to find a way to get close to 138 using these numbers. Let's start with the largest number, 100.\n\n Step 1: 100 + 35 = 135\n\n2. Now we need to get 138 from 135. We can do this by adding 3 to 135.\n\n Step 2: 135 + 3 = 138\n\nSo, the final equation is:\n\n<answer>\nStep 1: 100 + 35 = 135\nStep 2: 135 + 3 = 138\n</answer>", "To solve the problem using the numbers [73, 100, 35], we need to create an equation that equals 138. Let's break it down:\n\n1. First, we need to combine 73 and 100 to get a number close to 138.\n Step 1: 73 + 100 = 173\n\n2. Now, we need to adjust this result to get closer to 138.\n Step 2: 173 - 35 = 138\n\nSo, the final equation is:\n<answer>\nStep 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to reach the target number 138. Let's break it down:\n\n1. First, we need to combine the numbers in a way that allows us to reach 138. One possible approach is to use the number 73 as a base and manipulate it with the other two numbers.\n\n2. We can start by multiplying 73 by 35:\n Step 1: 73 * 35 = 2555\n\n3. Now, we need to adjust this result to get close to 138. We can subtract 2555 from 138:\n Step 2: 138 - 2555 = -2417\n\n4. Since we have a negative result, we need to add a positive number to get a positive result. We can use the number 100 to achieve this:\n Step 3: -2417 + 100 = -2317\n\n5. Finally, we need to add 100 to -2317 to get the target number 138:\n Step 4: -2317 + 100 = -2217\n\nTherefore, the equation that equals 138 using the numbers [73, 100, 35] and the operations (+, -, *, /) is:\n<answer>\nStep 1: 73 * 35 = 2555\nStep 2: 138 - 2555 = -2417\nStep 3: -2417 + 100 = -2317\nStep 4: -2317 + 100 = -2217\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to get the target number 138.\n\nStep 1: Let's start by trying to use the number 100 as a base number.\nStep 2: We can multiply 100 by 7 to get a close number to 138.\nStep 3: Now, we need to get closer to 138. We can subtract 13 from 100 to get 87.\nStep 4: Finally, we can add 53 to 87 to get 138.\n\nSo, the equation would be: 100 * 7 - 13 + 53 = 138.\n\n<answer>\nStep 1: 100 * 7 = 700\nStep 2: 700 - 13 = 687\nStep 3: 687 + 53 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to reach the target number 138. Let's break it down:\n\n1. Start with 100.\n2. We need to get close to 138, so let's try to add or subtract a number to reach 138.\n3. One way to do this is to add 35 to 100, which gives us 135.\n4. Now we need to get from 135 to 138. We can do this by adding 3 to 135.\n5. Therefore, the final equation is: 100 + 35 + 3 = 138.\n\n<answer>\nStep 1: 100 + 35 = 135\nStep 2: 135 + 3 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the arithmetic operations (+, -, *, /) to get the target number 138. We can try different combinations of these numbers and operations to find the correct equation.\n\nLet's start by trying to use all three numbers:\n\nStep 1: 100 - 73 = 27\nStep 2: 27 * 35 = 945\n\nThis combination does not give us 138. Let's try another combination:\n\nStep 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138\n\nThis combination gives us the target number 138. So, the final answer is:\n\n<answer>\nStep 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the arithmetic operations (+, -, *, /) to reach the target number 138.\n\nLet's start by considering the possible combinations of these numbers and operations.\n\n1. First, let's try to use the largest number, 100, as a starting point.\n - Step 1: 100 - 73 = 27\n - Step 2: 27 * 35 = 945\n\nThis combination doesn't work because 945 is not equal to 138.\n\n2. Next, let's try to use the smaller numbers and operations to see if we can reach 138.\n\n - Step 1: 73 + 100 = 173\n - Step 2: 173 - 35 = 138\n\nThis combination works! Let's break it down step by step:\n\n<answer>\nStep 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138\n</answer>", "To solve the problem of creating an equation using the numbers [73, 100, 35] that equals 138, we need to use basic arithmetic operations. Let's break it down step by step:\n\n1. **Step 1:** We start by adding 73 and 35.\n - 73 + 35 = 108\n\n2. **Step 2:** Now we need to reach 138. We can do this by adding 30 to the result from Step 1.\n - 108 + 30 = 138\n\nSo, the final equation is:\n\\[ 73 + 35 + 30 = 138 \\]\n\nTherefore, the final answer is:\n<answer>\nStep 1: 73 + 35 = 108\nStep 2: 108 + 30 = 138\n</answer>", "To solve the problem, we need to use the numbers [73, 100, 35] and the arithmetic operations (+, -, *, /) to get the target number 138. Let's break it down:\n\n1. First, we need to use 73 and 100 to get close to 138. We can try adding 73 and 100.\n Step 1: 73 + 100 = 173\n\n2. Now, we need to adjust the result to get closer to 138. We can subtract 35 from 173 to get 138.\n Step 2: 173 - 35 = 138\n\nSo, the final equation is:\nStep 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138\n\nThe answer is: <answer>\nStep 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the operations (+, -, *, /) to reach the target number 138. Let's break it down:\n\nStep 1: We can start by adding 100 and 35 to get a number close to 138.\n100 + 35 = 135\n\nStep 2: Now, we need to add 73 to reach 138.\n135 + 73 = 208\n\nSo, the final equation is:\n100 + 35 + 73 = 138\n\n<answer>\nStep 1: 100 + 35 = 135\nStep 2: 135 + 73 = 208\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the arithmetic operations (+, -, *, /) to reach the target number 138.\n\nStep 1: First, let's try to use the largest number, 100, and see if we can get close to 138. We can start by subtracting 73 from 100, which gives us 27.\n\nStep 2: Now we have 27 and 35 left. We can try adding 35 to 27, which gives us 62.\n\nStep 3: We still need to reach 138. We can add 73 to 62, which gives us 135.\n\nStep 4: We have 3 left. We can multiply 3 by 43 to get 138.\n\nFinal answer:\n<answer>\nStep 1: 100 - 73 = 27\nStep 2: 27 + 35 = 62\nStep 3: 62 + 73 = 135\nStep 4: 3 * 43 = 138\n</answer>", "To solve the problem using the numbers [73, 100, 35] and the operations (+, -, *, /), we need to reach the target number 138. Let's break it down:\n\n1. We start with the number 73.\n2. We need to reach 138, so we need to add or subtract the other numbers.\n3. Let's try adding 100 to 73:\n 73 + 100 = 173\n4. Now we have 173, and we need to get closer to 138. We can subtract 35:\n 173 - 35 = 138\n\nSo, the final equation is:\n<answer>\nStep 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and apply basic arithmetic operations to get the target number 138. Here's how we can do it:\n\n1. First, we can add 100 and 35 to get 135.\n2. Then, we can add 3 to 135 to get 138.\n\nSo, the equation would be:\n100 + 35 + 3 = 138\n\nTherefore, the final answer is:\n<answer>\nStep 1: 100 + 35 = 135\nStep 2: 135 + 3 = 138\n</answer>", "To solve this problem, we need to use the numbers [73, 100, 35] and the arithmetic operations (+, -, *, /) to get the target number 138. \n\nStep 1: Let's start by trying to add and subtract the numbers to see if we can get close to 138.\nStep 2: We can try different combinations of addition and subtraction to see if we can reach 138.\n\nHere's one possible solution:\n\n<answer>\nStep 1: 73 - 100 = -27\nStep 2: -27 + 35 = 8\nStep 3: 8 * 100 = 800\nStep 4: 800 - 138 = 662\n</answer>", "To solve this problem, we need to use the numbers [11, 97, 2] and the operations (+, -, *, /) to reach the target number 110. We can start by trying different combinations of operations and numbers to see if we can reach 110.\n\nStep 1: Let's try using the number 97 first. We can subtract 2 from 97 to get 95.\n\nStep 2: Now we have 11 and 95. We can add 11 to 95 to get 106.\n\nStep 3: We still need to reach 110. We can add 4 to 106 to get 110.\n\nTherefore, the final equation is:\n97 - 2 = 95\n11 + 95 = 106\n106 + 4 = 110\n\n<answer>\nStep 1: 97 - 2 = 95\nStep 2: 11 + 95 = 106\nStep 3: 106 + 4 = 110\n</answer>", "To solve this problem, we need to use the numbers [11, 97, 2] and the arithmetic operations (+, -, *, /) to get the target number 110. Let's break it down:\n\n1. We can start by using the number 97 and the operation of division.\n 97 / 2 = 48.5\n\n2. Now we need to add 11 to get close to 110.\n 48.5 + 11 = 59.5\n\n3. To reach 110, we need to add 50.5 to 59.5.\n 59.5 + 50.5 = 110\n\nSo, the final equation is:\n97 / 2 + 11 + 50.5 = 110\n\nThe answer is:\n<answer>\nStep 1: 97 / 2 = 48.5\nStep 2: 48.5 + 11 = 59.5\nStep 3: 59.5 + 50.5 = 110\n</answer>", "To solve the problem using the numbers [11, 97, 2], we need to create an equation that equals 110. Let's break it down:\n\n1. We can start by using the number 11 as a base.\n2. We can add the number 97 to it to get 108.\n3. To reach 110, we need to add 2 to 108.\n\nSo, the equation would be:\n\n11 + 97 + 2 = 110\n\nNow, let's write the steps in the format requested:\n\n<answer>\nStep 1: 11 + 97 = 108\nStep 2: 108 + 2 = 110\n</answer>", "To solve this problem, we need to use the numbers [11, 97, 2] and the arithmetic operations (+, -, *, /) to get the target number 110.\n\nStep 1: Let's try to use the number 97 first. We can subtract 11 from 97 to get 86.\nStep 2: Now, we have the numbers 86 and 2. We can multiply 86 by 2 to get 172.\nStep 3: Finally, we can add 172 to 11 to get the target number 110.\n\nSo, the final answer is:\n<answer>\nStep 1: 97 - 11 = 86\nStep 2: 86 * 2 = 172\nStep 3: 172 + 11 = 110\n</answer>", "To solve this problem, we need to use the numbers [11, 97, 2] and the operations (+, -, *, /) to reach the target number 110. Let's break it down:\n\n1. We can start by trying to use the number 97. If we subtract 2 from 97, we get:\n 97 - 2 = 95\n\n2. Now, we need to get closer to 110. We can try multiplying 95 by 2:\n 95 * 2 = 190\n\n3. Finally, we need to subtract 11 from 190 to get the target number 110:\n 190 - 11 = 110\n\nSo, the final equation is:\n<answer>\nStep 1: 97 - 2 = 95\nStep 2: 95 * 2 = 190\nStep 3: 190 - 11 = 110\n</answer>", "To solve this problem, we need to use the numbers [11, 97, 2] and the operations (+, -, *, /) to reach the target number 110.\n\nStep 1: We can start by trying to multiply the numbers together to get a large number, which might help us reach 110 more easily.\nStep 2: Let's try multiplying 97 and 2 first: 97 * 2 = 194.\nStep 3: Now we have 194, which is close to 110. We can subtract 84 from 194 to get 110.\nStep 4: To get 84, we need to subtract 11 from 97 and then subtract 23 from the result.\nStep 5: Let's subtract 11 from 97: 97 - 11 = 86.\nStep 6: Now we need to subtract 23 from 86: 86 - 23 = 63.\nStep 7: Finally, we need to subtract 47 from 63 to get 110.\n\nSo, the equation that equals 110 using the numbers [11, 97, 2] is:\n\n<answer>\nStep 1: 97 * 2 = 194\nStep 2: 194 - 84 = 110\n</answer>" ]
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rephrase
{"source_dataset": "countdown", "source_index": 2466, "numbers": [73, 100, 35], "target": 138, "expression": "100 + 73 - 35"}
[ "Step 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138", "Step 1: 73 * 2 = 146\nStep 2: 146 - 100 = 46\nStep 3: 46 + 35 = 81\nStep 4: 81 * 1.7 = 138", "Step 1: 173 - 35 = 138", "Step 1: 100 * 35 = 3500\nStep 2: 3500 - 73 = 3427\nStep 3: 3427 + 73 = 138", "Step 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138", "Step 1: 73 * 35 = 2555\nStep 2: 2555 + 100 = 2655\nStep 3: 2655 - 138 = 2517", "Step 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138", "Step 1: 73 + 35 = 108\nStep 2: 108 - 100 = 8\nStep 3: 8 + 35 = 43", "Step 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138", "Step 1: 73 * 100 = 7300\nStep 2: 7300 / 35 = 209.142857\nStep 3: 209.142857 * 100 = 20914.2857\nStep 4: 20914.2857 / 35 = 597.836977\nStep 5: 597.836977 * 100 = 59783.6977", "Step 1: 100 - 35 = 65\nStep 2: 73 + 65 = 138", "Step 1: 73 * 2 = 146\nStep 2: 146 - 100 = 46\nStep 3: 46 + 35 = 81", "Step 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138", "Step 1: 73 + 100 = 173\nStep 2: 173 / 35 = 4.91428571429", "Step 1: 73 + 100 + 35 = 208\nStep 2: 208 - 70 = 138", "Step 1: 100 + 35 = 135\nStep 2: 135 - 73 = 62\nStep 3: 62 + 73 = 135\nStep 4: 135 - 100 = 35\nStep 5: 35 + 100 = 135", "Step 1: 100 + 35 = 135\nStep 2: 135 + 3 = 138", "Step 1: 100 + 73 = 173\nStep 2: 173 - 35 = 138", "Step 1: 100 - 35 = 65\nStep 2: 65 + 35 = 100\nStep 3: 100 * 1.857 = 138", "Step 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138", "Step 1: 73 + 35 = 108\nStep 2: 108 + 30 = 138", "Step 1: 73 + 35 = 108\nStep 2: 108 + 100 = 208\nStep 3: 208 - 70 = 138", "Step 1: 100 - 73 = 27\nStep 2: 27 * 5 = 135\nStep 3: 135 + 35 = 138", "Step 1: 100 - 73 = 27\nStep 2: 27 * 35 = 945\nStep 3: 945 + 35 = 1080", "Step 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138", "Step 1: 100 * 1.38 = 138", "Step 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138", "Step 1: 100 - 35 = 65\nStep 2: 73 + 65 = 138", "Step 1: 73\nStep 2: 100 * 35 = 3500\nStep 3: 3500 / 25 = 140\nStep 4: 140 - 2 = 138", "Step 1: 100 / 73 = 1.37\nStep 2: 1.37 * 35 = 48.95\nStep 3: 48.95 + 35 = 83.95\nStep 4: 83.95 + 35 = 138", "Step 1: 73 * 100 = 7300\nStep 2: 7300 + 35 = 7335\nStep 3: 7335 - 607 = 138", "Step 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138", "Step 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138", "Step 1: 100 * 3.5 = 350\nStep 2: 350 - 73 = 277\nStep 3: 277 + 1 = 138", "Step 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138", "Step 1: 73 + 35 = 108\nStep 2: 108 - 100 = 8", "Step 1: 100 / 73 = 1.369863\nStep 2: 1.369863 + 35 = 36.369863", "Step 1: 1 + 2 = 3\nStep 2: 3 * 35 = 105\nStep 3: 105 - 73 = 32\nStep 4: 32 + 100 = 132", "Step 1: 100 - 73 = 27\nStep 2: 27 * 35 = 945", "Step 1: 73 * 35 = 2555\nStep 2: 2555 - 100 = 2455\nStep 3: 2455 - 138 = 2317", "Step 1: 73 * 35 = 2555\nStep 2: 2555 + 100 = 2655\nStep 3: 2655 - 35 = 2620", "Step 1: 73 * 10 = 730\nStep 2: 730 - 35 = 700\nStep 3: 700 + 35 = 735\nStep 4: 735 + 10 = 745", "Step 1: 100 + 35 = 135\nStep 2: 135 - 73 = 62\nStep 3: 62 + 16 = 138", "Step 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138", "Step 1: 100 + 35 = 135\nStep 2: 135 + 3 = 138", "Step 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138", "Step 1: 73 * 35 = 2555\nStep 2: 138 - 2555 = -2417\nStep 3: -2417 + 100 = -2317\nStep 4: -2317 + 100 = -2217", "Step 1: 100 * 7 = 700\nStep 2: 700 - 13 = 687\nStep 3: 687 + 53 = 138", "Step 1: 100 + 35 = 135\nStep 2: 135 + 3 = 138", "Step 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138", "Step 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138", "Step 1: 73 + 35 = 108\nStep 2: 108 + 30 = 138", "Step 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138", "Step 1: 100 + 35 = 135\nStep 2: 135 + 73 = 208", "Step 1: 100 - 73 = 27\nStep 2: 27 + 35 = 62\nStep 3: 62 + 73 = 135\nStep 4: 3 * 43 = 138", "Step 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138", "Step 1: 100 + 35 = 135\nStep 2: 135 + 3 = 138", "Step 1: 73 - 100 = -27\nStep 2: -27 + 35 = 8\nStep 3: 8 * 100 = 800\nStep 4: 800 - 138 = 662", "Step 1: 97 - 2 = 95\nStep 2: 11 + 95 = 106\nStep 3: 106 + 4 = 110", "Step 1: 97 / 2 = 48.5\nStep 2: 48.5 + 11 = 59.5\nStep 3: 59.5 + 50.5 = 110", "Step 1: 11 + 97 = 108\nStep 2: 108 + 2 = 110", "Step 1: 97 - 11 = 86\nStep 2: 86 * 2 = 172\nStep 3: 172 + 11 = 110", "Step 1: 97 - 2 = 95\nStep 2: 95 * 2 = 190\nStep 3: 190 - 11 = 110", "Step 1: 97 * 2 = 194\nStep 2: 194 - 84 = 110" ]
[ null, "Line uses unavailable numbers: Step 1: 73 * 2 = 146", "Line uses unavailable numbers: Step 1: 173 - 35 = 138", "Incorrect arithmetic in line: Step 3: 3427 + 73 = 138", null, "Line uses unavailable numbers: Step 3: 2655 - 138 = 2517", null, "Line uses unavailable numbers: Step 3: 8 + 35 = 43", null, "Incorrect arithmetic in line: Step 2: 7300 / 35 = 209.142857", null, "Line uses unavailable numbers: Step 1: 73 * 2 = 146", null, "Incorrect arithmetic in line: Step 2: 173 / 35 = 4.91428571429", "Line uses unavailable numbers: Step 2: 208 - 70 = 138", "Line uses unavailable numbers: Step 3: 62 + 73 = 135", "Line uses unavailable numbers: Step 2: 135 + 3 = 138", null, "Line uses unavailable numbers: Step 2: 65 + 35 = 100", null, "Line uses unavailable numbers: Step 2: 108 + 30 = 138", "Line uses unavailable numbers: Step 3: 208 - 70 = 138", "Line uses unavailable numbers: Step 2: 27 * 5 = 135", "Incorrect arithmetic in line: Step 3: 945 + 35 = 1080", null, "Line uses unavailable numbers: Step 1: 100 * 1.38 = 138", null, null, "Missing '=' in line: Step 1: 73", "Incorrect arithmetic in line: Step 1: 100 / 73 = 1.37", "Incorrect arithmetic in line: Step 3: 7335 - 607 = 138", null, null, "Line uses unavailable numbers: Step 1: 100 * 3.5 = 350", null, "Incorrect final answer", "Incorrect arithmetic in line: Step 1: 100 / 73 = 1.369863", "Line uses unavailable numbers: Step 1: 1 + 2 = 3", "Incorrect final answer", "Line uses unavailable numbers: Step 3: 2455 - 138 = 2317", "Line uses unavailable numbers: Step 3: 2655 - 35 = 2620", "Line uses unavailable numbers: Step 1: 73 * 10 = 730", "Incorrect arithmetic in line: Step 3: 62 + 16 = 138", null, "Line uses unavailable numbers: Step 2: 135 + 3 = 138", null, "Line uses unavailable numbers: Step 2: 138 - 2555 = -2417", "Line uses unavailable numbers: Step 1: 100 * 7 = 700", "Line uses unavailable numbers: Step 2: 135 + 3 = 138", null, null, "Line uses unavailable numbers: Step 2: 108 + 30 = 138", null, "Incorrect final answer", "Line uses unavailable numbers: Step 3: 62 + 73 = 135", null, "Line uses unavailable numbers: Step 2: 135 + 3 = 138", "Line uses unavailable numbers: Step 2: -27 + 35 = 8", "Line uses unavailable numbers: Step 1: 97 - 2 = 95", "Line uses unavailable numbers: Step 1: 97 / 2 = 48.5", "Line uses unavailable numbers: Step 1: 11 + 97 = 108", "Line uses unavailable numbers: Step 1: 97 - 11 = 86", "Line uses unavailable numbers: Step 1: 97 - 2 = 95", "Line uses unavailable numbers: Step 1: 97 * 2 = 194" ]
[ "Rewritten Question: Using numbers 73, 100, 35, create an equation equaling 138 with each used once.\n\nStep 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138\n\n<answer>\nStep 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138\n</answer>", "Rewritten Question: Using the numbers 73, 100, and 35, create an equation with each number used once to equal 138 using +, -, *, or /. Show steps or a single equation.\n\n<answer>\nStep 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138\n</answer>", "Rewritten Question: Using 73, 100, and 35, create an equation that equals 138 with each number used once.\n\nStep 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138\n\n<answer>\nStep 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138\n</answer>", "Rewritten Question: Using the numbers 73, 100, and 35, create an equation that equals 138. Each number can only be used once. What is the equation?\n\nStep 1: 100 - 35 = 65 \nStep 2: 73 + 65 = 138\n\n<answer>\n73 + (100 - 35) = 138\n</answer>", "Rewritten Question: Using numbers 73, 100, 35, create an equation equaling 138 with each used once.\n\nStep 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138\n\n<answer>\nStep 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138\n</answer>", "Rewritten Question: Using the numbers 73, 100, and 35, create an equation with each number used once to equal 138 using +, -, *, or /. Show steps or a single equation.\n\n<answer>\nStep 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138\n</answer>", "Rewritten Question: Using 73, 100, and 35, create an equation that equals 138 with each number used once.\n\nStep 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138\n\n<answer>\nStep 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138\n</answer>", "Rewritten Question: Use 73, 100, 35 to make 138 with one equation. \nStep 1: 73 + 35 = 108 \nStep 2: 108 + 100 = 208 \nStep 3: 208 - 70 = 138 \n<answer>\n(73 + 35 + 100) - 70\n</answer>", "Rewritten Question: Using numbers 73, 100, 35, create an equation equaling 138 with each used once.\n\nStep 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138\n\n<answer>\nStep 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138\n</answer>", "Rewritten Question: Using the numbers 73, 100, and 35, create an equation that equals 138. Only basic arithmetic operations (+, -, *, /) are allowed and each number can only be used once.\n\nStep 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138 \n\n<answer>\nStep 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138\n</answer>", "Rewritten Question: Using numbers 73, 100, 35, find an equation that equals 138 with each number used once. \n\nStep 1: Subtract 35 from 100 to get 65. \nStep 2: Add 73 to the result from Step 1. \nStep 3: The final result is 138. \n\n<answer>\nStep 1: 100 - 35 = 65 \nStep 2: 73 + 65 = 138\n</answer>", "Rewritten Question: Using the numbers 73, 100, and 35, create an equation that equals 138. Each number can only be used once. What is the equation?\n\nStep 1: 100 - 35 = 65 \nStep 2: 73 + 65 = 138\n\n<answer>\n73 + (100 - 35) = 138\n</answer>", "Rewritten Question: Using 73, 100, and 35, create an equation that equals 138. Use each number once and basic arithmetic operations. What is the equation?\n\nStep 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138\n\n<answer>\n(100 - 35) + 73\n</answer>", "Rewritten Question: Using the numbers 73, 100, and 35, create a mathematical expression that equals 138 using each number once, with basic operations (+, -, *, /).\n\nStep 1: Subtract 35 from 100 to get 65.\nStep 2: Add 73 to 65 to get 138.\n\n<answer>\n(100 - 35) + 73\n</answer>", "Rewritten Question: Using 73, 100, 35, create an equation that equals 138.\n\nStep 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138 \nStep 3: (100 - 35) + 73 = 138\n\n<answer>\nStep 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138 \nStep 3: (100 - 35) + 73 = 138\n</answer>", "Rewritten Question: Using the numbers 73, 100, and 35, create an equation that equals 138 using each number once and basic arithmetic operations.\n\nStep 1: 100 - 35 = 65 \nStep 2: 73 + 65 = 138\n\n<answer>\nStep 1: 100 - 35 = 65 \nStep 2: 73 + 65 = 138\n</answer>" ]
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{ "api_url": "http://10.32.36.226:9080/v1", "backend": "litellm", "chat_template_applied": true, "generation_params": { "chat_template_applied": true, "max_tokens": 4096, "n": 4, "temperature": 0.6, "top_p": 0.95 }, "model_name": "hosted_vllm/allenai/Olmo-3-7B-Instruct-SFT", "prompt": [ { "content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer.", "role": "system" }, { "content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [73, 100, 35], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nBegin your response with \"Rewritten Question: \" and by rewriting the question making it contain only what is needed to solve it, then think step by step and then give your resulting equation or number as the answer in the \"<answer>\n(your answer)\n</answer>\" tags.", "role": "user" } ] }
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[ "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138", "Step 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138", "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138", "73 + (100 - 35) = 138", "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138", "Step 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138", "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138", "(73 + 35 + 100) - 70", "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138", "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138", "Step 1: 100 - 35 = 65 \nStep 2: 73 + 65 = 138", "73 + (100 - 35) = 138", "(100 - 35) + 73", "(100 - 35) + 73", "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138 \nStep 3: (100 - 35) + 73 = 138", "Step 1: 100 - 35 = 65 \nStep 2: 73 + 65 = 138" ]
[{"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 156, "span_end": 203, "original_span": "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 177, "span_end": 222, "original_span": "Step 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 162, "span_end": 209, "original_span": "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 204, "span_end": 227, "original_span": "73 + (100 - 35) = 138"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 156, "span_end": 203, "original_span": "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 177, "span_end": 222, "original_span": "Step 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 162, "span_end": 209, "original_span": "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 152, "span_end": 174, "original_span": "(73 + 35 + 100) - 70"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 156, "span_end": 203, "original_span": "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 246, "span_end": 293, "original_span": "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 241, "span_end": 288, "original_span": "Step 1: 100 - 35 = 65 \nStep 2: 73 + 65 = 138"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 204, "span_end": 227, "original_span": "73 + (100 - 35) = 138"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 211, "span_end": 228, "original_span": "(100 - 35) + 73"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 247, "span_end": 264, "original_span": "(100 - 35) + 73"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 163, "span_end": 242, "original_span": "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138 \nStep 3: (100 - 35) + 73 = 138"}, {"extraction_type": "final", "total_spans_found": 1, "non_overlapping_spans": 1, "span_start": 202, "span_end": 249, "original_span": "Step 1: 100 - 35 = 65 \nStep 2: 73 + 65 = 138"}]
[{"is_correct": true, "error": null, "answer_block": "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "73 + (100 - 35) = 138", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 100 - 35 = 65\nStep 2: 65 + 73 = 138", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138", "final_answer": 138.0}, {"is_correct": false, "error": "Expression uses an unavailable or repeated number", "answer_block": "(73 + 35 + 100) - 70", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 100 - 35 = 65 \nStep 2: 73 + 65 = 138", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "73 + (100 - 35) = 138", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "(100 - 35) + 73", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "(100 - 35) + 73", "final_answer": 138.0}, {"is_correct": false, "error": "Line uses unavailable numbers: Step 3: (100 - 35) + 73 = 138", "answer_block": "Step 1: 100 - 35 = 65 \nStep 2: 65 + 73 = 138 \nStep 3: (100 - 35) + 73 = 138", "final_answer": 138.0}, {"is_correct": true, "error": null, "answer_block": "Step 1: 100 - 35 = 65 \nStep 2: 73 + 65 = 138", "final_answer": 138.0}]
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76 + 85 + 60
countdown_3arg
countdown
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2*67 - 34
countdown_3arg
countdown
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["Let's think through the problem step by step.\n\n## Step 1: List the numbers and target\nWe have t(...TRUNCATED)
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"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 767, \"span_text\": \"2 * 6(...TRUNCATED)
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{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":8,"pass_at_n":1,"percent(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
92*(17 - 9)
countdown_3arg
countdown
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["Step 1: 92 * 9 = 828\nStep 2: 828 + 17 = 845\nStep 3: 845 + 17 = 862","Step 1: 92 * 9 = 828\nStep (...TRUNCATED)
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["Step 1: 92 * 8 = 736 \nStep 2: 8 = 17 - 9 \nTherefore, 92 * (17 - 9) = 736 \nAlternatively, (92(...TRUNCATED)
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{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":3,"pass_at_n":1,"percent(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
71 + 25 + 56
countdown_3arg
countdown
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["To solve the problem of creating an equation using the numbers [56, 71, 25] that equals 152, we ne(...TRUNCATED)
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"{\"source_dataset\": \"countdown\", \"source_index\": 1645, \"numbers\": [56, 71, 25], \"target\": (...TRUNCATED)
["Step 1: 56 + 25 = 81\nStep 2: 81 + 71 = 152","Step 1: 56 * 71 = 3976\nStep 2: 3976 - 25 = 3951\nSt(...TRUNCATED)
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["Step 1: 56 + 71 = 127 \nStep 2: 127 + 25 = 152 \nAlternatively, \nStep 1: 56 + 25 = 81 \nStep (...TRUNCATED)
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["Step 1: 56 + 71 = 127 \nStep 2: 127 + 25 = 152","Step 1: 56 + 71 = 127\nStep 2: 127 + 25 = 152","(...TRUNCATED)
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
59*7 - 88
countdown_3arg
countdown
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["To solve this problem, we need to use the numbers [59, 7, 88] and the arithmetic operations (+, -,(...TRUNCATED)
[false,false,false,false,false,false,false,false,true,false,false,true,false,false,false,false,false(...TRUNCATED)
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["Step 1: 59 * 5 = 295\nStep 2: 295 + 30 = 325","Step 1: 59 * 7 = 413\nStep 2: 413 + 88 = 421\nStep (...TRUNCATED)
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["Step 1: 59 * 7 = 413 \nStep 2: 413 - 88 = 325 \nAlternatively, \nStep 1: 59 * 7 = 413 \nStep 2(...TRUNCATED)
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["59 * 7 - 88 = 325","(59 × 7) - 88","(59 * 7) - 88 = 325",null,null,"Step 1: 59 * 7 = 413 \nStep (...TRUNCATED)
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"[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 121, \"span_text\": \"59 * (...TRUNCATED)
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{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":7,"pass_at_n":1,"percent(...TRUNCATED)
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
97 - 52 + 87
countdown_3arg
countdown
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["To solve the problem, we need to use the numbers [52, 87, 97] and the operations (+, -, *, /) to r(...TRUNCATED)
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alternative
"{\"source_dataset\": \"countdown\", \"source_index\": 1647, \"numbers\": [52, 87, 97], \"target\": (...TRUNCATED)
["Step 1: 97 - 52 = 45\nStep 2: 87 + 45 = 132","Step 1: 97 - 52 = 45\nStep 2: 45 + 87 = 132","Step 1(...TRUNCATED)
[null,null,"Line uses unavailable numbers: Step 1: 52 * 2 = 104","Incorrect arithmetic in line: Step(...TRUNCATED)
["Let's think through potential equations using the numbers [52, 87, 97] to get 132.\n\nLet’s try (...TRUNCATED)
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["(87 - 52) + 97","Step 1: 52 + 87 = 139\nStep 2: 139 - 97 = 42\nStep 3: 42 * 3 = 126\nStep 4: 126 +(...TRUNCATED)
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
37 + 70 + 11
countdown_3arg
countdown
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["To solve the problem of creating an equation using the numbers [70, 37, 11] that equals 118, we ca(...TRUNCATED)
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED)
3*51 - 40
countdown_3arg
countdown
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["Line uses unavailable numbers: Step 3: 88 + 3 = 91","Incorrect arithmetic in line: Step 3: 2160 - (...TRUNCATED)
["<answer>\nStep 1: 51 + 3 = 54\nStep 2: 54 + 40 = 94\nStep 3: 113 - 94 = 19\n</answer>","<answer>\n(...TRUNCATED)
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99 + 97 + 1
countdown_3arg
countdown
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{"flips_by":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"flips_total":0,"num_correct":12,"pass_at_n":1,"percen(...TRUNCATED)
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