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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 [31, 62, 89], create an equation that equals 178. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 62*89/31 | countdown_3arg | countdown | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your 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. E... | {"source_dataset": "countdown", "source_index": 4585, "numbers": [31, 62, 89], "target": 178, "expression": "62*89/31"} | [
"Step 1: 62 * 89 = 5558\nStep 2: 5558 - 31 = 5527\nStep 3: 5527 + 31 = 5558",
"Step 1: 62 * 3 = 186\nStep 2: 186 - 10 = 176\nStep 3: 176 + 2 = 178",
"Step 1: 89 + 31 = 120\nStep 2: 120 + 62 = 182\nStep 3: 182 - 31 = 151\nStep 4: 151 - 62 = 89",
"Step 1: 89 + 62 = 151\nStep 2: 151 - 31 = 120\nStep 3: 120 + 58 ... | [
"Incorrect arithmetic in line: Step 1: 62 * 89 = 5558",
"Line uses unavailable numbers: Step 1: 62 * 3 = 186",
"Line uses unavailable numbers: Step 3: 182 - 31 = 151",
"Line uses unavailable numbers: Step 3: 120 + 58 = 178",
"Line uses unavailable numbers: Step 2: 151 + 27 = 178",
"Line uses unavailable n... | {
"api_url": "http://127.0.0.1:38605",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"<answer>\nStep 1: (62 - 31) * 89 = 4058\nStep 2: 4058 - 31 = 4027\nStep 3: 4027 + 62 = 4089\nStep 4: 4089 + 89 = 4178\n</answer>"
] | [
false
] | [
"Step 1: (62 - 31) * 89 = 4058\nStep 2: 4058 - 31 = 4027\nStep 3: 4027 + 62 = 4089\nStep 4: 4089 + 89 = 4178"
] | creative | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nFirst, 62 - 31 = 31,\nThen, 31 * 89 = 2719,\nFinally, 2719 + 89 = 2808.\n\nThe answer is incorrect.",
"Let us verify this answer:\n\nFirst, 62 - 31 = 31,\nThen, 31 * 89 = 2719,\nFinally, 2719 + 62 = 2781,\nBut we need 178, not 2781.\n\nThe answer is incorrect.",
"Let us verify thi... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53413",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
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 [31, 62, 89], create an equation that equals 178. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 62*89/31 | countdown_3arg | countdown | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your 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. E... | {"source_dataset": "countdown", "source_index": 4585, "numbers": [31, 62, 89], "target": 178, "expression": "62*89/31"} | [
"Step 1: 62 * 89 = 5558\nStep 2: 5558 - 31 = 5527\nStep 3: 5527 + 31 = 5558",
"Step 1: 62 * 3 = 186\nStep 2: 186 - 10 = 176\nStep 3: 176 + 2 = 178",
"Step 1: 89 + 31 = 120\nStep 2: 120 + 62 = 182\nStep 3: 182 - 31 = 151\nStep 4: 151 - 62 = 89",
"Step 1: 89 + 62 = 151\nStep 2: 151 - 31 = 120\nStep 3: 120 + 58 ... | [
"Incorrect arithmetic in line: Step 1: 62 * 89 = 5558",
"Line uses unavailable numbers: Step 1: 62 * 3 = 186",
"Line uses unavailable numbers: Step 3: 182 - 31 = 151",
"Line uses unavailable numbers: Step 3: 120 + 58 = 178",
"Line uses unavailable numbers: Step 2: 151 + 27 = 178",
"Line uses unavailable n... | {
"api_url": "http://127.0.0.1:38605",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Let's start with the given numbers: 31, 62, and 89.\nStep 1: Add 62 and 89.\nStep 2: Divide the result from Step 1 by 31.\nOops! That doesn't equal 178. Let's correct our mistake.\nStep 3: Multiply 62 by 31.\nStep 4: Subtract 89 from the result of Step 3.\nStep 5: Divide the result from Step 4 by 31.\nFinal equati... | [
false
] | [
"(62 * 31 - 89) / 31"
] | backtrack | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nFirst, we need to find two numbers whose sum will give us one of the given numbers when added together. We can try adding 62 and 89 first:\nStep 1: 62 + 89 = 151\n\nNow, we need to adjust this to get closer to 178. Since we have already used 62 and 89, we can subtract these from 178:\... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53413",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
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 [31, 62, 89], create an equation that equals 178. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 62*89/31 | countdown_3arg | countdown | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your 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. E... | {"source_dataset": "countdown", "source_index": 4585, "numbers": [31, 62, 89], "target": 178, "expression": "62*89/31"} | [
"Step 1: 62 * 89 = 5558\nStep 2: 5558 - 31 = 5527\nStep 3: 5527 + 31 = 5558",
"Step 1: 62 * 3 = 186\nStep 2: 186 - 10 = 176\nStep 3: 176 + 2 = 178",
"Step 1: 89 + 31 = 120\nStep 2: 120 + 62 = 182\nStep 3: 182 - 31 = 151\nStep 4: 151 - 62 = 89",
"Step 1: 89 + 62 = 151\nStep 2: 151 - 31 = 120\nStep 3: 120 + 58 ... | [
"Incorrect arithmetic in line: Step 1: 62 * 89 = 5558",
"Line uses unavailable numbers: Step 1: 62 * 3 = 186",
"Line uses unavailable numbers: Step 3: 182 - 31 = 151",
"Line uses unavailable numbers: Step 3: 120 + 58 = 178",
"Line uses unavailable numbers: Step 2: 151 + 27 = 178",
"Line uses unavailable n... | {
"api_url": "http://127.0.0.1:38605",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Let's start by trying to add all three numbers together:\n\nStep 1: 31 + 62 + 89 = 182\n\nOops! That doesn't equal 178. Let's try subtracting one of the numbers from the sum instead:\n\nStep 2: 182 - 89 = 93\n\nStill not there yet. Let's try dividing one of the numbers into another part of the sum:\n\nStep 3: (182... | [
false
] | [
"((31 + 62 + 89) - 2*62) * 31"
] | backtrack | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nFirst, 31 + 62 = 93\nThen, 93 + 89 = 182\n\nThis does not equal 178. Therefore, the answer is incorrect.",
"Let us verify this answer:\n\nFirst, 31 + 62 = 93,\nThen, 93 + 89 = 182,\n\nNow, 182 - 178 = 4.\n\nSo, the equation is: Step 1: 31 + 62 = 93\nStep 2: 93 + 89 = 182\nStep 3: 18... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53413",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
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 [31, 62, 89], create an equation that equals 178. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 62*89/31 | countdown_3arg | countdown | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your 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. E... | {"source_dataset": "countdown", "source_index": 4585, "numbers": [31, 62, 89], "target": 178, "expression": "62*89/31"} | [
"Step 1: 62 * 89 = 5558\nStep 2: 5558 - 31 = 5527\nStep 3: 5527 + 31 = 5558",
"Step 1: 62 * 3 = 186\nStep 2: 186 - 10 = 176\nStep 3: 176 + 2 = 178",
"Step 1: 89 + 31 = 120\nStep 2: 120 + 62 = 182\nStep 3: 182 - 31 = 151\nStep 4: 151 - 62 = 89",
"Step 1: 89 + 62 = 151\nStep 2: 151 - 31 = 120\nStep 3: 120 + 58 ... | [
"Incorrect arithmetic in line: Step 1: 62 * 89 = 5558",
"Line uses unavailable numbers: Step 1: 62 * 3 = 186",
"Line uses unavailable numbers: Step 3: 182 - 31 = 151",
"Line uses unavailable numbers: Step 3: 120 + 58 = 178",
"Line uses unavailable numbers: Step 2: 151 + 27 = 178",
"Line uses unavailable n... | {
"api_url": "http://127.0.0.1:38605",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Step 1: Start with the first number, 31.\nStep 2: Multiply by 2.\nStep 3: Add 62.\nStep 4: Subtract 89.\nStep 5: The result is 178.\n\nSo my mistake was not realizing that I needed to add 89 instead of subtracting it later. Let me correct myself now:\n\nOops! Wait, let's do it all over again correctly.\nStep 1: St... | [
false
] | [
"(31 * 2) + 62 + 89"
] | backtrack | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nFirst, we start with the first number, 31.\nNext, we multiply 31 by 2, which gives us 62.\nThen, we add 62 to the next number, 62, resulting in 124.\nFinally, we add 89 to 124, giving us 213.\n\nTherefore, the equation is: 31 * 2 + 62 + 89 = 213, not 178 as initially stated.\n\nThe an... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53413",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
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 [31, 62, 89], create an equation that equals 178. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 62*89/31 | countdown_3arg | countdown | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your 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. E... | {"source_dataset": "countdown", "source_index": 4585, "numbers": [31, 62, 89], "target": 178, "expression": "62*89/31"} | [
"Step 1: 62 * 89 = 5558\nStep 2: 5558 - 31 = 5527\nStep 3: 5527 + 31 = 5558",
"Step 1: 62 * 3 = 186\nStep 2: 186 - 10 = 176\nStep 3: 176 + 2 = 178",
"Step 1: 89 + 31 = 120\nStep 2: 120 + 62 = 182\nStep 3: 182 - 31 = 151\nStep 4: 151 - 62 = 89",
"Step 1: 89 + 62 = 151\nStep 2: 151 - 31 = 120\nStep 3: 120 + 58 ... | [
"Incorrect arithmetic in line: Step 1: 62 * 89 = 5558",
"Line uses unavailable numbers: Step 1: 62 * 3 = 186",
"Line uses unavailable numbers: Step 3: 182 - 31 = 151",
"Line uses unavailable numbers: Step 3: 120 + 58 = 178",
"Line uses unavailable numbers: Step 2: 151 + 27 = 178",
"Line uses unavailable n... | {
"api_url": "http://127.0.0.1:38605",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"Step 1: 31 * 62 = 1942\nOops! That's not our target.\nLet's try using subtraction instead.\nStep 2: 1942 - 89 = 1853\nStill not there.\nNow let's add another number we have which is 62 (from Step 1).\nStep 3: 1853 + 62 = 1915\nAlmost there!\nFinally, subtracting 31 from our result will get us to our target.\nFinal... | [
false
] | [
"1915 - 31 = 178"
] | backtrack | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nFirst, 31 * 62 = 1942\nSecond, 1942 - 89 = 1853\nThird, 1853 + 89 = 1942\nFourth, 1942 - 89 = 1753\n\nThe answer is incorrect.",
"Let us verify this answer:\n\nFirst, 31 * 62 = 1942, then 1942 - 89 = 1853, and finally 1853 + 89 = 1781. This does not match the target number 178.\n\nT... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53413",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
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 [31, 62, 89], create an equation that equals 178. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 62*89/31 | countdown_3arg | countdown | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your 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. E... | {"source_dataset": "countdown", "source_index": 4585, "numbers": [31, 62, 89], "target": 178, "expression": "62*89/31"} | [
"Step 1: 62 * 89 = 5558\nStep 2: 5558 - 31 = 5527\nStep 3: 5527 + 31 = 5558",
"Step 1: 62 * 3 = 186\nStep 2: 186 - 10 = 176\nStep 3: 176 + 2 = 178",
"Step 1: 89 + 31 = 120\nStep 2: 120 + 62 = 182\nStep 3: 182 - 31 = 151\nStep 4: 151 - 62 = 89",
"Step 1: 89 + 62 = 151\nStep 2: 151 - 31 = 120\nStep 3: 120 + 58 ... | [
"Incorrect arithmetic in line: Step 1: 62 * 89 = 5558",
"Line uses unavailable numbers: Step 1: 62 * 3 = 186",
"Line uses unavailable numbers: Step 3: 182 - 31 = 151",
"Line uses unavailable numbers: Step 3: 120 + 58 = 178",
"Line uses unavailable numbers: Step 2: 151 + 27 = 178",
"Line uses unavailable n... | {
"api_url": "http://127.0.0.1:38605",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"<answer>\nStep 1: 62 * 3 = 186\nStep 2: 186 - 31 = 155\nStep 3: 155 + 89 = 244\nAlternatively,\nStep 1: 31 * 6 = 186\nStep 2: 186 - 89 = 97\nStep 3: 97 + 62 = 159\n</answer>"
] | [
false
] | [
"Step 1: 62 * 3 = 186\nStep 2: 186 - 31 = 155\nStep 3: 155 + 89 = 244\nAlternatively,\nStep 1: 31 * 6 = 186\nStep 2: 186 - 89 = 97\nStep 3: 97 + 62 = 159"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nFirst, 62 * 3 = 186, then 186 - 89 = 97, and finally 97 + 89 = 186. However, we need to get 178, not 186. Therefore, the answer is incorrect.\n\n<verdict>\nIncorrect\n</verdict>",
"Let us verify this answer:\n\nFirst, we start with the first two numbers: 62 * 3 = 186.\n\nNext, subtr... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53413",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
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 [31, 62, 89], create an equation that equals 178. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 62*89/31 | countdown_3arg | countdown | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your 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. E... | {"source_dataset": "countdown", "source_index": 4585, "numbers": [31, 62, 89], "target": 178, "expression": "62*89/31"} | [
"Step 1: 62 * 89 = 5558\nStep 2: 5558 - 31 = 5527\nStep 3: 5527 + 31 = 5558",
"Step 1: 62 * 3 = 186\nStep 2: 186 - 10 = 176\nStep 3: 176 + 2 = 178",
"Step 1: 89 + 31 = 120\nStep 2: 120 + 62 = 182\nStep 3: 182 - 31 = 151\nStep 4: 151 - 62 = 89",
"Step 1: 89 + 62 = 151\nStep 2: 151 - 31 = 120\nStep 3: 120 + 58 ... | [
"Incorrect arithmetic in line: Step 1: 62 * 89 = 5558",
"Line uses unavailable numbers: Step 1: 62 * 3 = 186",
"Line uses unavailable numbers: Step 3: 182 - 31 = 151",
"Line uses unavailable numbers: Step 3: 120 + 58 = 178",
"Line uses unavailable numbers: Step 2: 151 + 27 = 178",
"Line uses unavailable n... | {
"api_url": "http://127.0.0.1:38605",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"<answer>\nStep 1: (89 - 31) * 62 = 4502\nAlternatively,\nStep 2: 4502 / 62 = 73\n</answer>"
] | [
false
] | [
"Step 1: (89 - 31) * 62 = 4502\nAlternatively,\nStep 2: 4502 / 62 = 73"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nFirst, 89 - 31 = 58, then 58 * 62 = 3636. This is not equal to 178, so the answer is incorrect.\n\n<verdict>\nIncorrect\n</verdict>",
"Let us verify this answer:\n\nFirst, 31 + 89 = 120.\nThen, 120 / 62 = 1.943...\n\nThis does not result in 178, so the answer is incorrect.\n\n<verdi... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53413",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
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 [31, 62, 89], create an equation that equals 178. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 62*89/31 | countdown_3arg | countdown | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your 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. E... | {"source_dataset": "countdown", "source_index": 4585, "numbers": [31, 62, 89], "target": 178, "expression": "62*89/31"} | [
"Step 1: 62 * 89 = 5558\nStep 2: 5558 - 31 = 5527\nStep 3: 5527 + 31 = 5558",
"Step 1: 62 * 3 = 186\nStep 2: 186 - 10 = 176\nStep 3: 176 + 2 = 178",
"Step 1: 89 + 31 = 120\nStep 2: 120 + 62 = 182\nStep 3: 182 - 31 = 151\nStep 4: 151 - 62 = 89",
"Step 1: 89 + 62 = 151\nStep 2: 151 - 31 = 120\nStep 3: 120 + 58 ... | [
"Incorrect arithmetic in line: Step 1: 62 * 89 = 5558",
"Line uses unavailable numbers: Step 1: 62 * 3 = 186",
"Line uses unavailable numbers: Step 3: 182 - 31 = 151",
"Line uses unavailable numbers: Step 3: 120 + 58 = 178",
"Line uses unavailable numbers: Step 2: 151 + 27 = 178",
"Line uses unavailable n... | {
"api_url": "http://127.0.0.1:38605",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"To solve this problem, we need to use the numbers 31, 62, and 89 exactly once. We want to form an equation that equals 178. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **First Equation:**\n - Start with \\( 31 \\times 62 \\).\n \\[\n 31 \\times 62 = 1922\n \\]\n\n2. **Second Equa... | [
false
] | [
"\\( (31 \\times 62) + 89 - 89 \\)"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\n1. Use 31, 62, and 89 exactly once.\n2. Multiply 31 and 62: \\( 31 \\times 62 = 1922 \\).\n3. Add 89 to the result: \\( 1922 + 89 = 2011 \\).\n\nThe provided answer does not match the target number 178. Therefore, the model response is incorrect.",
"Let us verify this answer: First,... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53413",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
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 [31, 62, 89], create an equation that equals 178. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 62*89/31 | countdown_3arg | countdown | [
{
"content": "You like to solve problems by thinking step by step. Write out your reasoning then give your 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. E... | {"source_dataset": "countdown", "source_index": 4585, "numbers": [31, 62, 89], "target": 178, "expression": "62*89/31"} | [
"Step 1: 62 * 89 = 5558\nStep 2: 5558 - 31 = 5527\nStep 3: 5527 + 31 = 5558",
"Step 1: 62 * 3 = 186\nStep 2: 186 - 10 = 176\nStep 3: 176 + 2 = 178",
"Step 1: 89 + 31 = 120\nStep 2: 120 + 62 = 182\nStep 3: 182 - 31 = 151\nStep 4: 151 - 62 = 89",
"Step 1: 89 + 62 = 151\nStep 2: 151 - 31 = 120\nStep 3: 120 + 58 ... | [
"Incorrect arithmetic in line: Step 1: 62 * 89 = 5558",
"Line uses unavailable numbers: Step 1: 62 * 3 = 186",
"Line uses unavailable numbers: Step 3: 182 - 31 = 151",
"Line uses unavailable numbers: Step 3: 120 + 58 = 178",
"Line uses unavailable numbers: Step 2: 151 + 27 = 178",
"Line uses unavailable n... | {
"api_url": "http://127.0.0.1:38605",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 16,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qw... | [
"<answer>\nStep 1: 89 - 62 = 27\nStep 2: 27 * 3 = 81\nStep 3: 81 + 31 = 112\nAlternatively,\nStep 1: 89 + 62 = 151\nStep 2: 151 - 31 = 120\nStep 3: 120 / 3 = 40\n</answer>"
] | [
false
] | [
"Step 1: 89 - 62 = 27\nStep 2: 27 * 3 = 81\nStep 3: 81 + 31 = 112\nAlternatively,\nStep 1: 89 + 62 = 151\nStep 2: 151 - 31 = 120\nStep 3: 120 / 3 = 40"
] | alternatively | [
{
"content": "You think step by step and reflect on the given answer for the question reasoning about if the answer was correct or incorrect. You then always say <verdict>\ncorrect\n</verdict> or <verdict>\nincorrect\n</verdict> depending on if the answer was correct or incorrect in your opinion according to yo... | [
"Let us verify this answer:\n\nFirst, we need to find two numbers from the list such that their sum equals 178. Let's try using 89 and 62.\n\nStep 1: 89 + 62 = 151\n\nNext, we subtract 31 from 151.\n\nStep 2: 151 - 31 = 120\n\nFinally, divide 120 by 3.\n\nStep 3: 120 / 3 = 40\n\nSo, the equation is: Step 1: 89 + 62... | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {
"api_url": "http://127.0.0.1:53413",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 1024,
"n": 4,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vllm/Qwe... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 62*89/31 | countdown_3arg | countdown | [{"content":"You like to solve problems by thinking step by step. Write out your reasoning then give(...TRUNCATED) | "{\"source_dataset\": \"countdown\", \"source_index\": 4585, \"numbers\": [31, 62, 89], \"target\": (...TRUNCATED) | ["Step 1: 62 * 89 = 5558\nStep 2: 5558 - 31 = 5527\nStep 3: 5527 + 31 = 5558","Step 1: 62 * 3 = 186\(...TRUNCATED) | ["Incorrect arithmetic in line: Step 1: 62 * 89 = 5558","Line uses unavailable numbers: Step 1: 62 *(...TRUNCATED) | {"api_url":"http://127.0.0.1:38605","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | ["Rewritten Question:\n\nCreate an equation using the numbers 31, 62, and 89 that equals 178.\n\nSte(...TRUNCATED) | [
false
] | [
"(31 + 62) - 89 = 178"
] | rephrase | [{"content":"You think step by step and reflect on the given answer for the question reasoning about(...TRUNCATED) | ["Let us verify this answer: First, 31 + 62 = 93, then 93 * 89 = 8297. This is not equal to 178, so (...TRUNCATED) | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | {"api_url":"http://127.0.0.1:53413","backend":"litellm","chat_template_applied":true,"generation_par(...TRUNCATED) | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-1.5B-Instruct",
"n_responses": 4
} |
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