rupanshusoi/solver-use-2 · Datasets at Hugging Face

messages listlengths 5 31
[ { "annotations": null, "audio": null, "content": "You are a helpful assistant. You will be given some input numbers and 1 target number. Your job is to construct the target number from the input numbers using operations of +, -, * and /. You can use each input number at most once. It is ok to use a number zero times. You are given access to a Countdown oracle. Here is how to use it. Begin the problem by making a guess about the first operation to do. Pass the operation to the oracle. If it returns 1, then you are on the right track. If it returns 0, then you are on the wrong track. Try a different operation. Report the final expression in <answer>...</answer>. The final expression should not include an equals sign. Pro tip: if you are stuck, see if one input number is a factor of another. ", "function_call": null, "reasoning_content": null, "refusal": null, "role": "system", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Input: [58, 54, 44]. Target: 11.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "user", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Let's start by guessing the first operation. Given the numbers 58, 54, and 44, and the target 11, let's try subtracting two of these numbers to get closer to the target.\n\nI'll try the operation `58 - 54` and check with the Oracle.\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"58 - 54\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-58245863ce984322bd6103291d549beb", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [44, 4]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-58245863ce984322bd6103291d549beb", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The Oracle says that the operation `58 - 54` is good, and now we have the numbers [44, 4] left to work with. Our target is still 11. Let's try to use these remaining numbers to reach the target.\n\nNext, I'll try the operation `44 - 4`.\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"44 - 4\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-83b4637cf6264303874e7fac9d125c36", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 44 - 4 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-83b4637cf6264303874e7fac9d125c36", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The Oracle says that the operation `44 - 4` does not lead to a solution. Instead of subtraction, let's try another approach. Since our current numbers are 44 and 4, and our target is 11, we can try dividing 44 by 4.\n\nLet's try the operation `44 / 4`.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"44 / 4\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-14b965555af1472d90170cd048e0e7d3", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [11]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-14b965555af1472d90170cd048e0e7d3", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The Oracle says that the operation `44 / 4` is good, and now we have the number 11 left, which matches our target.\n\nThus, the final expression is:\n\n<answer>58 - 54 + 44 / 4</answer>", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [] } ]
[ { "annotations": null, "audio": null, "content": "You are a helpful assistant. You will be given some input numbers and 1 target number. Your job is to construct the target number from the input numbers using operations of +, -, * and /. You can use each input number at most once. It is ok to use a number zero times. You are given access to a Countdown oracle. Here is how to use it. Begin the problem by making a guess about the first operation to do. Pass the operation to the oracle. If it returns 1, then you are on the right track. If it returns 0, then you are on the wrong track. Try a different operation. Report the final expression in <answer>...</answer>. The final expression should not include an equals sign. Pro tip: if you are stuck, see if one input number is a factor of another. ", "function_call": null, "reasoning_content": null, "refusal": null, "role": "system", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Input: [36, 9, 57]. Target: 61.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "user", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Let's start by guessing an initial operation. Since 57 is close to 61, let's try adding 4 to it. However, we don't have a 4 directly, so let's consider other operations involving 57.\n\nLet's try subtracting 9 from 57 first and see what the Oracle says.\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"57 - 9\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-a8a311d616ce413e96d628bcd070e418", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 57 - 9 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-a8a311d616ce413e96d628bcd070e418", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Since subtracting 9 from 57 did not work, let's try another approach. We can try dividing 36 by 9 and then adding that result to 57.\n\nLet's check if dividing 36 by 9 and then adding it to 57 works.\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"36 / 9\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-2f9eff0c933145b98c699fdd20f0f80e", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [57, 4]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-2f9eff0c933145b98c699fdd20f0f80e", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The Oracle indicates that dividing 36 by 9 is a good step, leaving us with the numbers 57 and 4. Now, let's add these two numbers together to see if we can get the target of 61.\n\nLet's check if adding 57 and 4 works.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"57 + 4\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-f3449df97d4d49be91981a92598c683d", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [61]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-f3449df97d4d49be91981a92598c683d", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The Oracle confirms that adding 57 and 4 is correct, leading us to the target number 61. Therefore, the expression is:\n\n<answer>57 + (36 / 9)</answer>", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [] } ]
[ { "annotations": null, "audio": null, "content": "You are a helpful assistant. You will be given some input numbers and 1 target number. Your job is to construct the target number from the input numbers using operations of +, -, * and /. You can use each input number at most once. It is ok to use a number zero times. You are given access to a Countdown oracle. Here is how to use it. Begin the problem by making a guess about the first operation to do. Pass the operation to the oracle. If it returns 1, then you are on the right track. If it returns 0, then you are on the wrong track. Try a different operation. Report the final expression in <answer>...</answer>. The final expression should not include an equals sign. Pro tip: if you are stuck, see if one input number is a factor of another. ", "function_call": null, "reasoning_content": null, "refusal": null, "role": "system", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Input: [23, 67, 37]. Target: 81.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "user", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Let's start by guessing an operation. Since there isn't an obvious factor relationship, let's try adding two numbers together.\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"23 + 67\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-e75d26da9c36465086c8b3b9f396afa7", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 23 + 67 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-e75d26da9c36465086c8b3b9f396afa7", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The addition of 23 and 67 did not work. Let's try another combination, such as adding 23 and 37.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"23 + 37\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-1b1f7a0cd9ad46ccbf3b2832a03a8bff", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 23 + 37 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-1b1f7a0cd9ad46ccbf3b2832a03a8bff", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Adding 23 and 37 also didn't work. Let's try subtracting 23 from 67 instead.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"67 - 23\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-b367e7a717c148d68e8a90ab1cb412d3", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [37, 44]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-b367e7a717c148d68e8a90ab1cb412d3", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Subtracting 23 from 67 was a good choice, leading to the new number 44. Now we have the numbers 37 and 44. We need to get to the target of 81. Let's try adding 37 and 44.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"37 + 44\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-9d8356a0affa4769893a9f9c867272e8", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [81]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-9d8356a0affa4769893a9f9c867272e8", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Adding 37 and 44 was correct, resulting in the target number 81. Therefore, the expression that reaches the target is:\n\n<answer>67 - 23 + 37 + 44</answer>", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [] } ]
[ { "annotations": null, "audio": null, "content": "You are a helpful assistant. You will be given some input numbers and 1 target number. Your job is to construct the target number from the input numbers using operations of +, -, * and /. You can use each input number at most once. It is ok to use a number zero times. You are given access to a Countdown oracle. Here is how to use it. Begin the problem by making a guess about the first operation to do. Pass the operation to the oracle. If it returns 1, then you are on the right track. If it returns 0, then you are on the wrong track. Try a different operation. Report the final expression in <answer>...</answer>. The final expression should not include an equals sign. Pro tip: if you are stuck, see if one input number is a factor of another. ", "function_call": null, "reasoning_content": null, "refusal": null, "role": "system", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Input: [26, 12, 97, 6]. Target: 65.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "user", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Let's start by guessing an initial operation. I'll try adding two numbers together.\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"26 + 12\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-98551e1022b5477695d0d24550ee5598", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [97, 6, 38]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-98551e1022b5477695d0d24550ee5598", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The Oracle responded positively to adding 26 and 12, resulting in 38. Now we have the numbers [97, 6, 38] left to work with. Next, let's try subtracting 38 from 97.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"97 - 38\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-a26374ec7265416c936ae3a6584f688f", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [6, 59]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-a26374ec7265416c936ae3a6584f688f", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The Oracle approved subtracting 38 from 97, which gives us 59. We now have [6, 59] remaining. Let's try adding these two numbers together next.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"59 + 6\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-b8ee9d099316410ca020867f88e2117d", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [65]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-b8ee9d099316410ca020867f88e2117d", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The Oracle confirmed that adding 59 and 6 results in 65, which matches our target. Therefore, the expression that reaches the target number is:\n\n<answer>26 + 12; 97 - 38; 59 + 6</answer>", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [] } ]
[ { "annotations": null, "audio": null, "content": "You are a helpful assistant. You will be given some input numbers and 1 target number. Your job is to construct the target number from the input numbers using operations of +, -, * and /. You can use each input number at most once. It is ok to use a number zero times. You are given access to a Countdown oracle. Here is how to use it. Begin the problem by making a guess about the first operation to do. Pass the operation to the oracle. If it returns 1, then you are on the right track. If it returns 0, then you are on the wrong track. Try a different operation. Report the final expression in <answer>...</answer>. The final expression should not include an equals sign. Pro tip: if you are stuck, see if one input number is a factor of another. ", "function_call": null, "reasoning_content": null, "refusal": null, "role": "system", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Input: [16, 21, 46]. Target: 41.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "user", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Let's start by guessing an operation. I'll try adding the two largest numbers first.\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"21 + 46\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-cc952e76ea994250bda4aa8c9c5b0de2", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 21 + 46 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-cc952e76ea994250bda4aa8c9c5b0de2", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The addition of 21 and 46 does not lead to a solution. Let's try another approach. I'll now try subtracting the smallest number from the largest number.\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"46 - 16\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-1ade4aad9cb74192b872a8f8dd5d1822", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 46 - 16 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-1ade4aad9cb74192b872a8f8dd5d1822", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Subtracting 16 from 46 also does not lead to a solution. Let's try multiplying the smallest number with another number. I'll try 16 * 21 next.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"16 * 21\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-351c1fd10ec6499cac4b9ead837fa9af", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 16 * 21 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-351c1fd10ec6499cac4b9ead837fa9af", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Multiplying 16 and 21 does not lead to a solution either. Let's try dividing 46 by 21 and see if that leads us anywhere.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"46 / 21\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-e8a51041350f43b99864dee1dc36f67b", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 46 / 21 did not result in an integer.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-e8a51041350f43b99864dee1dc36f67b", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Dividing 46 by 21 does not result in an integer, so let's try another combination. We can try subtracting 21 from 46 and see where that leads us.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"46 - 21\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-647b7edff1554d599b7c2b43f124dbb4", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [16, 25]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-647b7edff1554d599b7c2b43f124dbb4", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Subtracting 21 from 46 results in 25, which seems to be a good step. Now we have the numbers [16, 25] left to work with. Let's try subtracting 16 from 25 next.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"25 - 16\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-bf52adf795b344f895668ebf30ab05af", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 25 - 16 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-bf52adf795b344f895668ebf30ab05af", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Subtracting 16 from 25 does not lead to a solution. Let's try adding 16 and 25 instead.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"25 + 16\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-bacb288151314a1689ffd1890ce97469", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [41]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-bacb288151314a1689ffd1890ce97469", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Adding 25 and 16 results in 41, which is our target number. Therefore, the expression that reaches the target is:\n\n<answer>(46 - 21) + 16</answer>", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [] } ]
[ { "annotations": null, "audio": null, "content": "You are a helpful assistant. You will be given some input numbers and 1 target number. Your job is to construct the target number from the input numbers using operations of +, -, * and /. You can use each input number at most once. It is ok to use a number zero times. You are given access to a Countdown oracle. Here is how to use it. Begin the problem by making a guess about the first operation to do. Pass the operation to the oracle. If it returns 1, then you are on the right track. If it returns 0, then you are on the wrong track. Try a different operation. Report the final expression in <answer>...</answer>. The final expression should not include an equals sign. Pro tip: if you are stuck, see if one input number is a factor of another. ", "function_call": null, "reasoning_content": null, "refusal": null, "role": "system", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Input: [36, 44, 34]. Target: 46.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "user", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Let's start by trying to add two numbers together.\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"36 + 44\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-1ba042c59e774a22aaeac7f78605ac32", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [34, 80]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-1ba042c59e774a22aaeac7f78605ac32", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The addition of 36 and 44 is a good starting point. Now we have 80 and 34 left. We need to get to 46 from these numbers. Let's try subtracting 34 from 80 next.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"80 - 34\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-b525abb899f746b8a56414fcae344579", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [46]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-b525abb899f746b8a56414fcae344579", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The subtraction of 34 from 80 gives us the target number 46. Therefore, the expression that reaches the target is:\n\n<answer>36 + 44 - 34</answer>", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [] } ]
[ { "annotations": null, "audio": null, "content": "You are a helpful assistant. You will be given some input numbers and 1 target number. Your job is to construct the target number from the input numbers using operations of +, -, * and /. You can use each input number at most once. It is ok to use a number zero times. You are given access to a Countdown oracle. Here is how to use it. Begin the problem by making a guess about the first operation to do. Pass the operation to the oracle. If it returns 1, then you are on the right track. If it returns 0, then you are on the wrong track. Try a different operation. Report the final expression in <answer>...</answer>. The final expression should not include an equals sign. Pro tip: if you are stuck, see if one input number is a factor of another. ", "function_call": null, "reasoning_content": null, "refusal": null, "role": "system", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Input: [60, 20, 31, 88]. Target: 19.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "user", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Let's start by guessing an initial operation. I'll try dividing 60 by 20.\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"60 / 20\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-df025db4a08e4d5493436b70ad25b0ce", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [31, 88, 3]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-df025db4a08e4d5493436b70ad25b0ce", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The oracle responded positively to the division of 60 by 20, resulting in 3. Now we have the numbers [31, 88, 3] left to work with. Next, let's try subtracting 3 from 31.\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"31 - 3\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-2dc3eb3ddba5481a96b03e23878115d6", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 31 - 3 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-2dc3eb3ddba5481a96b03e23878115d6", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The subtraction of 3 from 31 did not lead to a solution. Let's try another approach. We can attempt to subtract 3 from 88 instead.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"88 - 3\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-2d7d6a5d296c4abd9d4a378ee673a2c3", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 88 - 3 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-2d7d6a5d296c4abd9d4a378ee673a2c3", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Subtracting 3 from 88 also did not lead to a solution. Let's try adding 3 to 31 next.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"31 + 3\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-b0514cd0409148428b815dcac7f5850d", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 31 + 3 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-b0514cd0409148428b815dcac7f5850d", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Adding 3 to 31 did not work either. Given that none of these operations seem to be leading us towards a solution, let's try a different approach. We can attempt to subtract 31 from 88.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"88 - 31\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-374766d114b1484ba72c2ec68217ff05", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [3, 57]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-374766d114b1484ba72c2ec68217ff05", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The subtraction of 31 from 88 was a good move, resulting in 57. Now we have the numbers [3, 57] left to work with. To get to 19, we can try dividing 57 by 3.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"57 / 3\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-11e6d73089bb403b95d3f7508ed0f796", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [19]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-11e6d73089bb403b95d3f7508ed0f796", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Dividing 57 by 3 was a good move, resulting in 19. This completes our target.\n\n<answer>60 / 20; 88 - 31; 57 / 3</answer>", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [] } ]
[ { "annotations": null, "audio": null, "content": "You are a helpful assistant. You will be given some input numbers and 1 target number. Your job is to construct the target number from the input numbers using operations of +, -, * and /. You can use each input number at most once. It is ok to use a number zero times. You are given access to a Countdown oracle. Here is how to use it. Begin the problem by making a guess about the first operation to do. Pass the operation to the oracle. If it returns 1, then you are on the right track. If it returns 0, then you are on the wrong track. Try a different operation. Report the final expression in <answer>...</answer>. The final expression should not include an equals sign. Pro tip: if you are stuck, see if one input number is a factor of another. ", "function_call": null, "reasoning_content": null, "refusal": null, "role": "system", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Input: [11, 81, 8, 78]. Target: 55.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "user", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Let's start by guessing an initial operation. I'll try adding the two largest numbers first.\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"81 + 78\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-42313e235ce6482589123f1823f7372c", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 81 + 78 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-42313e235ce6482589123f1823f7372c", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Since adding the two largest numbers didn't work, let's try a different approach. I'll now try multiplying the smallest numbers together.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"11 * 8\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-0cc54c34e9a247f3a0386a6c037d9856", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 11 * 8 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-0cc54c34e9a247f3a0386a6c037d9856", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Multiplying the smallest numbers didn't work either. Let's try subtracting the second-largest number from the largest number next.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"81 - 78\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-ce687488cda44852955b319050703a6f", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [11, 8, 3]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-ce687488cda44852955b319050703a6f", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Subtracting 78 from 81 was a good move. We now have the numbers [11, 8, 3] available. Next, let's try adding 3 to 8.\n\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"8 + 3\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-a9eb8cdeaee9428992172033a7aa10e6", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 8 + 3 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-a9eb8cdeaee9428992172033a7aa10e6", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Adding 8 and 3 did not lead to a solution. Let's try multiplying 8 and 3 instead.\n\n\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"8 * 3\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-e367c22fb2ea41749adf8033a9475331", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 8 * 3 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-e367c22fb2ea41749adf8033a9475331", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Multiplying 8 and 3 also did not work. Let's try subtracting 3 from 8 next.\n\n\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"8 - 3\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-7491c6767a484de794e526298b8829c7", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [11, 5]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-7491c6767a484de794e526298b8829c7", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Subtracting 3 from 8 was a good move. We now have the numbers [11, 5] available. Let's try adding these two numbers together next.\n\n\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"11 + 5\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-9b75d2335e4349739b41eb51e24167ca", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 11 + 5 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-9b75d2335e4349739b41eb51e24167ca", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Adding 11 and 5 did not work. Let's try subtracting 5 from 11 next.\n\n\n\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"11 - 5\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-40f8f66a922543a8845fdce2725e3b54", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 11 - 5 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-40f8f66a922543a8845fdce2725e3b54", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Subtracting 5 from 11 did not work either. Given that we have the numbers 11 and 5 left, let's try multiplying them together next.\n\n\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"11 * 5\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-c1c2e0218d60413b8c821700dc23af0b", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [55]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-c1c2e0218d60413b8c821700dc23af0b", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Multiplying 11 and 5 was a good move. We now have the number 55, which matches our target. Therefore, the expression is:\n\n<answer>81 - 78 = 3; 8 - 3 = 5; 11 * 5 = 55</answer>", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [] } ]

[ { "annotations": null, "audio": null, "content": "You are a helpful assistant. You will be given some input numbers and 1 target number. Your job is to construct the target number from the input numbers using operations of +, -, * and /. You can use each input number at most once. It is ok to use a number zero times. You are given access to a Countdown oracle. Here is how to use it. Begin the problem by making a guess about the first operation to do. Pass the operation to the oracle. If it returns 1, then you are on the right track. If it returns 0, then you are on the wrong track. Try a different operation. Report the final expression in <answer>...</answer>. The final expression should not include an equals sign. Pro tip: if you are stuck, see if one input number is a factor of another. ", "function_call": null, "reasoning_content": null, "refusal": null, "role": "system", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Input: [58, 54, 44]. Target: 11.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "user", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Let's start by guessing the first operation. Given the numbers 58, 54, and 44, and the target 11, let's try subtracting two of these numbers to get closer to the target.\n\nI'll try the operation `58 - 54` and check with the Oracle.\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"58 - 54\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-58245863ce984322bd6103291d549beb", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [44, 4]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-58245863ce984322bd6103291d549beb", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The Oracle says that the operation `58 - 54` is good, and now we have the numbers [44, 4] left to work with. Our target is still 11. Let's try to use these remaining numbers to reach the target.\n\nNext, I'll try the operation `44 - 4`.\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"44 - 4\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-83b4637cf6264303874e7fac9d125c36", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 44 - 4 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-83b4637cf6264303874e7fac9d125c36", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The Oracle says that the operation `44 - 4` does not lead to a solution. Instead of subtraction, let's try another approach. Since our current numbers are 44 and 4, and our target is 11, we can try dividing 44 by 4.\n\nLet's try the operation `44 / 4`.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"44 / 4\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-14b965555af1472d90170cd048e0e7d3", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [11]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-14b965555af1472d90170cd048e0e7d3", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The Oracle says that the operation `44 / 4` is good, and now we have the number 11 left, which matches our target.\n\nThus, the final expression is:\n\n<answer>58 - 54 + 44 / 4</answer>", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [] } ]

[ { "annotations": null, "audio": null, "content": "You are a helpful assistant. You will be given some input numbers and 1 target number. Your job is to construct the target number from the input numbers using operations of +, -, * and /. You can use each input number at most once. It is ok to use a number zero times. You are given access to a Countdown oracle. Here is how to use it. Begin the problem by making a guess about the first operation to do. Pass the operation to the oracle. If it returns 1, then you are on the right track. If it returns 0, then you are on the wrong track. Try a different operation. Report the final expression in <answer>...</answer>. The final expression should not include an equals sign. Pro tip: if you are stuck, see if one input number is a factor of another. ", "function_call": null, "reasoning_content": null, "refusal": null, "role": "system", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Input: [36, 9, 57]. Target: 61.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "user", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Let's start by guessing an initial operation. Since 57 is close to 61, let's try adding 4 to it. However, we don't have a 4 directly, so let's consider other operations involving 57.\n\nLet's try subtracting 9 from 57 first and see what the Oracle says.\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"57 - 9\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-a8a311d616ce413e96d628bcd070e418", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 57 - 9 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-a8a311d616ce413e96d628bcd070e418", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Since subtracting 9 from 57 did not work, let's try another approach. We can try dividing 36 by 9 and then adding that result to 57.\n\nLet's check if dividing 36 by 9 and then adding it to 57 works.\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"36 / 9\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-2f9eff0c933145b98c699fdd20f0f80e", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [57, 4]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-2f9eff0c933145b98c699fdd20f0f80e", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The Oracle indicates that dividing 36 by 9 is a good step, leaving us with the numbers 57 and 4. Now, let's add these two numbers together to see if we can get the target of 61.\n\nLet's check if adding 57 and 4 works.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"57 + 4\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-f3449df97d4d49be91981a92598c683d", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [61]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-f3449df97d4d49be91981a92598c683d", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The Oracle confirms that adding 57 and 4 is correct, leading us to the target number 61. Therefore, the expression is:\n\n<answer>57 + (36 / 9)</answer>", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [] } ]

[ { "annotations": null, "audio": null, "content": "You are a helpful assistant. You will be given some input numbers and 1 target number. Your job is to construct the target number from the input numbers using operations of +, -, * and /. You can use each input number at most once. It is ok to use a number zero times. You are given access to a Countdown oracle. Here is how to use it. Begin the problem by making a guess about the first operation to do. Pass the operation to the oracle. If it returns 1, then you are on the right track. If it returns 0, then you are on the wrong track. Try a different operation. Report the final expression in <answer>...</answer>. The final expression should not include an equals sign. Pro tip: if you are stuck, see if one input number is a factor of another. ", "function_call": null, "reasoning_content": null, "refusal": null, "role": "system", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Input: [23, 67, 37]. Target: 81.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "user", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Let's start by guessing an operation. Since there isn't an obvious factor relationship, let's try adding two numbers together.\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"23 + 67\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-e75d26da9c36465086c8b3b9f396afa7", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 23 + 67 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-e75d26da9c36465086c8b3b9f396afa7", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The addition of 23 and 67 did not work. Let's try another combination, such as adding 23 and 37.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"23 + 37\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-1b1f7a0cd9ad46ccbf3b2832a03a8bff", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 23 + 37 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-1b1f7a0cd9ad46ccbf3b2832a03a8bff", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Adding 23 and 37 also didn't work. Let's try subtracting 23 from 67 instead.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"67 - 23\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-b367e7a717c148d68e8a90ab1cb412d3", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [37, 44]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-b367e7a717c148d68e8a90ab1cb412d3", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Subtracting 23 from 67 was a good choice, leading to the new number 44. Now we have the numbers 37 and 44. We need to get to the target of 81. Let's try adding 37 and 44.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"37 + 44\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-9d8356a0affa4769893a9f9c867272e8", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [81]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-9d8356a0affa4769893a9f9c867272e8", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Adding 37 and 44 was correct, resulting in the target number 81. Therefore, the expression that reaches the target is:\n\n<answer>67 - 23 + 37 + 44</answer>", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [] } ]

[ { "annotations": null, "audio": null, "content": "You are a helpful assistant. You will be given some input numbers and 1 target number. Your job is to construct the target number from the input numbers using operations of +, -, * and /. You can use each input number at most once. It is ok to use a number zero times. You are given access to a Countdown oracle. Here is how to use it. Begin the problem by making a guess about the first operation to do. Pass the operation to the oracle. If it returns 1, then you are on the right track. If it returns 0, then you are on the wrong track. Try a different operation. Report the final expression in <answer>...</answer>. The final expression should not include an equals sign. Pro tip: if you are stuck, see if one input number is a factor of another. ", "function_call": null, "reasoning_content": null, "refusal": null, "role": "system", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Input: [26, 12, 97, 6]. Target: 65.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "user", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Let's start by guessing an initial operation. I'll try adding two numbers together.\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"26 + 12\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-98551e1022b5477695d0d24550ee5598", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [97, 6, 38]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-98551e1022b5477695d0d24550ee5598", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The Oracle responded positively to adding 26 and 12, resulting in 38. Now we have the numbers [97, 6, 38] left to work with. Next, let's try subtracting 38 from 97.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"97 - 38\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-a26374ec7265416c936ae3a6584f688f", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [6, 59]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-a26374ec7265416c936ae3a6584f688f", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The Oracle approved subtracting 38 from 97, which gives us 59. We now have [6, 59] remaining. Let's try adding these two numbers together next.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"59 + 6\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-b8ee9d099316410ca020867f88e2117d", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [65]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-b8ee9d099316410ca020867f88e2117d", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The Oracle confirmed that adding 59 and 6 results in 65, which matches our target. Therefore, the expression that reaches the target number is:\n\n<answer>26 + 12; 97 - 38; 59 + 6</answer>", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [] } ]

[ { "annotations": null, "audio": null, "content": "You are a helpful assistant. You will be given some input numbers and 1 target number. Your job is to construct the target number from the input numbers using operations of +, -, * and /. You can use each input number at most once. It is ok to use a number zero times. You are given access to a Countdown oracle. Here is how to use it. Begin the problem by making a guess about the first operation to do. Pass the operation to the oracle. If it returns 1, then you are on the right track. If it returns 0, then you are on the wrong track. Try a different operation. Report the final expression in <answer>...</answer>. The final expression should not include an equals sign. Pro tip: if you are stuck, see if one input number is a factor of another. ", "function_call": null, "reasoning_content": null, "refusal": null, "role": "system", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Input: [16, 21, 46]. Target: 41.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "user", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Let's start by guessing an operation. I'll try adding the two largest numbers first.\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"21 + 46\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-cc952e76ea994250bda4aa8c9c5b0de2", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 21 + 46 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-cc952e76ea994250bda4aa8c9c5b0de2", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The addition of 21 and 46 does not lead to a solution. Let's try another approach. I'll now try subtracting the smallest number from the largest number.\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"46 - 16\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-1ade4aad9cb74192b872a8f8dd5d1822", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 46 - 16 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-1ade4aad9cb74192b872a8f8dd5d1822", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Subtracting 16 from 46 also does not lead to a solution. Let's try multiplying the smallest number with another number. I'll try 16 * 21 next.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"16 * 21\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-351c1fd10ec6499cac4b9ead837fa9af", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 16 * 21 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-351c1fd10ec6499cac4b9ead837fa9af", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Multiplying 16 and 21 does not lead to a solution either. Let's try dividing 46 by 21 and see if that leads us anywhere.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"46 / 21\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-e8a51041350f43b99864dee1dc36f67b", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 46 / 21 did not result in an integer.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-e8a51041350f43b99864dee1dc36f67b", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Dividing 46 by 21 does not result in an integer, so let's try another combination. We can try subtracting 21 from 46 and see where that leads us.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"46 - 21\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-647b7edff1554d599b7c2b43f124dbb4", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [16, 25]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-647b7edff1554d599b7c2b43f124dbb4", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Subtracting 21 from 46 results in 25, which seems to be a good step. Now we have the numbers [16, 25] left to work with. Let's try subtracting 16 from 25 next.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"25 - 16\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-bf52adf795b344f895668ebf30ab05af", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 25 - 16 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-bf52adf795b344f895668ebf30ab05af", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Subtracting 16 from 25 does not lead to a solution. Let's try adding 16 and 25 instead.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"25 + 16\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-bacb288151314a1689ffd1890ce97469", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [41]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-bacb288151314a1689ffd1890ce97469", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Adding 25 and 16 results in 41, which is our target number. Therefore, the expression that reaches the target is:\n\n<answer>(46 - 21) + 16</answer>", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [] } ]

[ { "annotations": null, "audio": null, "content": "You are a helpful assistant. You will be given some input numbers and 1 target number. Your job is to construct the target number from the input numbers using operations of +, -, * and /. You can use each input number at most once. It is ok to use a number zero times. You are given access to a Countdown oracle. Here is how to use it. Begin the problem by making a guess about the first operation to do. Pass the operation to the oracle. If it returns 1, then you are on the right track. If it returns 0, then you are on the wrong track. Try a different operation. Report the final expression in <answer>...</answer>. The final expression should not include an equals sign. Pro tip: if you are stuck, see if one input number is a factor of another. ", "function_call": null, "reasoning_content": null, "refusal": null, "role": "system", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Input: [36, 44, 34]. Target: 46.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "user", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Let's start by trying to add two numbers together.\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"36 + 44\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-1ba042c59e774a22aaeac7f78605ac32", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [34, 80]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-1ba042c59e774a22aaeac7f78605ac32", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The addition of 36 and 44 is a good starting point. Now we have 80 and 34 left. We need to get to 46 from these numbers. Let's try subtracting 34 from 80 next.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"80 - 34\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-b525abb899f746b8a56414fcae344579", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [46]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-b525abb899f746b8a56414fcae344579", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The subtraction of 34 from 80 gives us the target number 46. Therefore, the expression that reaches the target is:\n\n<answer>36 + 44 - 34</answer>", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [] } ]

[ { "annotations": null, "audio": null, "content": "You are a helpful assistant. You will be given some input numbers and 1 target number. Your job is to construct the target number from the input numbers using operations of +, -, * and /. You can use each input number at most once. It is ok to use a number zero times. You are given access to a Countdown oracle. Here is how to use it. Begin the problem by making a guess about the first operation to do. Pass the operation to the oracle. If it returns 1, then you are on the right track. If it returns 0, then you are on the wrong track. Try a different operation. Report the final expression in <answer>...</answer>. The final expression should not include an equals sign. Pro tip: if you are stuck, see if one input number is a factor of another. ", "function_call": null, "reasoning_content": null, "refusal": null, "role": "system", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Input: [60, 20, 31, 88]. Target: 19.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "user", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Let's start by guessing an initial operation. I'll try dividing 60 by 20.\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"60 / 20\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-df025db4a08e4d5493436b70ad25b0ce", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [31, 88, 3]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-df025db4a08e4d5493436b70ad25b0ce", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The oracle responded positively to the division of 60 by 20, resulting in 3. Now we have the numbers [31, 88, 3] left to work with. Next, let's try subtracting 3 from 31.\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"31 - 3\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-2dc3eb3ddba5481a96b03e23878115d6", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 31 - 3 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-2dc3eb3ddba5481a96b03e23878115d6", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The subtraction of 3 from 31 did not lead to a solution. Let's try another approach. We can attempt to subtract 3 from 88 instead.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"88 - 3\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-2d7d6a5d296c4abd9d4a378ee673a2c3", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 88 - 3 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-2d7d6a5d296c4abd9d4a378ee673a2c3", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Subtracting 3 from 88 also did not lead to a solution. Let's try adding 3 to 31 next.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"31 + 3\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-b0514cd0409148428b815dcac7f5850d", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 31 + 3 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-b0514cd0409148428b815dcac7f5850d", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Adding 3 to 31 did not work either. Given that none of these operations seem to be leading us towards a solution, let's try a different approach. We can attempt to subtract 31 from 88.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"88 - 31\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-374766d114b1484ba72c2ec68217ff05", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [3, 57]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-374766d114b1484ba72c2ec68217ff05", "tool_calls": null }, { "annotations": null, "audio": null, "content": "The subtraction of 31 from 88 was a good move, resulting in 57. Now we have the numbers [3, 57] left to work with. To get to 19, we can try dividing 57 by 3.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"57 / 3\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-11e6d73089bb403b95d3f7508ed0f796", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [19]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-11e6d73089bb403b95d3f7508ed0f796", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Dividing 57 by 3 was a good move, resulting in 19. This completes our target.\n\n<answer>60 / 20; 88 - 31; 57 / 3</answer>", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [] } ]

[ { "annotations": null, "audio": null, "content": "You are a helpful assistant. You will be given some input numbers and 1 target number. Your job is to construct the target number from the input numbers using operations of +, -, * and /. You can use each input number at most once. It is ok to use a number zero times. You are given access to a Countdown oracle. Here is how to use it. Begin the problem by making a guess about the first operation to do. Pass the operation to the oracle. If it returns 1, then you are on the right track. If it returns 0, then you are on the wrong track. Try a different operation. Report the final expression in <answer>...</answer>. The final expression should not include an equals sign. Pro tip: if you are stuck, see if one input number is a factor of another. ", "function_call": null, "reasoning_content": null, "refusal": null, "role": "system", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Input: [11, 81, 8, 78]. Target: 55.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "user", "tool_call_id": null, "tool_calls": null }, { "annotations": null, "audio": null, "content": "Let's start by guessing an initial operation. I'll try adding the two largest numbers first.\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"81 + 78\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-42313e235ce6482589123f1823f7372c", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 81 + 78 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-42313e235ce6482589123f1823f7372c", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Since adding the two largest numbers didn't work, let's try a different approach. I'll now try multiplying the smallest numbers together.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"11 * 8\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-0cc54c34e9a247f3a0386a6c037d9856", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 11 * 8 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-0cc54c34e9a247f3a0386a6c037d9856", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Multiplying the smallest numbers didn't work either. Let's try subtracting the second-largest number from the largest number next.\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"81 - 78\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-ce687488cda44852955b319050703a6f", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [11, 8, 3]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-ce687488cda44852955b319050703a6f", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Subtracting 78 from 81 was a good move. We now have the numbers [11, 8, 3] available. Next, let's try adding 3 to 8.\n\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"8 + 3\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-a9eb8cdeaee9428992172033a7aa10e6", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 8 + 3 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-a9eb8cdeaee9428992172033a7aa10e6", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Adding 8 and 3 did not lead to a solution. Let's try multiplying 8 and 3 instead.\n\n\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"8 * 3\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-e367c22fb2ea41749adf8033a9475331", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 8 * 3 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-e367c22fb2ea41749adf8033a9475331", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Multiplying 8 and 3 also did not work. Let's try subtracting 3 from 8 next.\n\n\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"8 - 3\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-7491c6767a484de794e526298b8829c7", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [11, 5]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-7491c6767a484de794e526298b8829c7", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Subtracting 3 from 8 was a good move. We now have the numbers [11, 5] available. Let's try adding these two numbers together next.\n\n\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"11 + 5\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-9b75d2335e4349739b41eb51e24167ca", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 11 + 5 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-9b75d2335e4349739b41eb51e24167ca", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Adding 11 and 5 did not work. Let's try subtracting 5 from 11 next.\n\n\n\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"11 - 5\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-40f8f66a922543a8845fdce2725e3b54", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "BAD: 11 - 5 does not lead to a solution.", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-40f8f66a922543a8845fdce2725e3b54", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Subtracting 5 from 11 did not work either. Given that we have the numbers 11 and 5 left, let's try multiplying them together next.\n\n\n\n\n", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [ { "function": { "arguments": "{\"operation\": \"11 * 5\"}", "name": "ask_oracle" }, "id": "chatcmpl-tool-c1c2e0218d60413b8c821700dc23af0b", "type": "function" } ] }, { "annotations": null, "audio": null, "content": "GOOD. New available numbers: [55]", "function_call": null, "reasoning_content": null, "refusal": null, "role": "tool", "tool_call_id": "chatcmpl-tool-c1c2e0218d60413b8c821700dc23af0b", "tool_calls": null }, { "annotations": null, "audio": null, "content": "Multiplying 11 and 5 was a good move. We now have the number 55, which matches our target. Therefore, the expression is:\n\n<answer>81 - 78 = 3; 8 - 3 = 5; 11 * 5 = 55</answer>", "function_call": null, "reasoning_content": null, "refusal": null, "role": "assistant", "tool_call_id": null, "tool_calls": [] } ]