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What is the solution to the long multiplication equation below?
10 x 37
Think step by step. | 370 | "{\"arg1\": 10, \"arg2\": 37, \"solution\": 370}" | [
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"To solve the problem \\( 10 \\times 37 \\), we can follow these steps:\n\nStep 1: Recognize that multiplying any number by 10 simply adds a zero at the end of that number.\n - So, \\( 10 \\times 37 \\) means adding one more zero after 37.\n\nStep 2: Perform the multiplication inside the original expression (whic... | {"api_url": "http://127.0.0.1:39495", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 1, "temperature": 0.7, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30rl_1e6lr-sft", "prompt": [{"content": "What ... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30rl_1e6lr-sft", "n_responses": 3} | [
"To solve the problem \\( 10 \\times 37 \\), we can follow these steps:\n\n### Step-by-Step Solution:\n\n1. **Write down the numbers:**\n \\[\n 10 \\\\\n \\underline{37}\n \\]\n\n2. **Multiply the ones digit of the second number (7) by the first number (10):**\n - \\( 10 \\times 7 = 70 \\)\n \n3. **Writ... | {"api_url": "http://127.0.0.1:39495", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30rl_1e6lr-sft", "prompt": [{"content": "What is the s... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30rl_1e6lr-sft", "n_responses": 1} | [
"To solve the problem \\( 10 \\times 37 \\), we can follow these steps:\n\nStep 1: Recognize that multiplying any number by 10 simply adds a zero at the end of that number.\nSo, \\( 10 \\times 37 = 370 \\).\n\nTherefore, the solution to the problem is 370.\n\nWait... this is wrong, let me go back a bit.\n\nStep-by-... | {"continuation_phrases": ["Hold on, let me verify this answer.", "Wait, let me try"], "continuations": [" Let's break it down further.\n\nStep 2: Break down the multiplication into simpler parts.\n - First, multiply 10 by 3 (since 10 times anything else would just be adding one more zero).\n \\( 10 \\times 3 = 30... | {"api_url": "http://127.0.0.1:39495", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "min_tokens": 10, "temperature": 0.7, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30rl_1e6lr-sft", "prompt": [{"conten... | [
"To solve this problem, we'll break it down into smaller steps:\n\n### Step 1: Multiply 10 by each digit of 37 separately.\n- First, multiply 10 by 7 (the units digit):\n \\[\n 10 \\times 7 = 70\n \\]\n \n- Next, multiply 10 by 3 (the tens digit):\n \\[\n 10 \\times 3 = 30\n \\]\n\n### Step 2: Add the result... | {"all_responses": ["To solve this problem, we'll break it down into smaller steps:\n\n### Step 1: Multiply 10 by each digit of 37 separately.\n- First, multiply 10 by 7 (the units digit):\n \\[\n 10 \\times 7 = 70\n \\]\n \n- Next, multiply 10 by 3 (the tens digit):\n \\[\n 10 \\times 3 = 30\n \\]\n\n### Step 2:... | {"api_url": "http://127.0.0.1:39495", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "min_tokens": 10, "temperature": 0.7, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30rl_1e6lr-sft", "prompt": [{"conten... | We gave the following question to a language model. We want you to look through the response it gave and find all the answer spans it produced.
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What is the solution to the long multiplication equation below?
66 x 91
Think step by step. | 6006 | "{\"arg1\": 66, \"arg2\": 91, \"solution\": 6006}" | [
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"To solve the problem of multiplying 66 by 91 using long multiplication, follow these steps:\n\n### Step-by-Step Solution:\n\n#### Step 1: Set up the multiplication.\n```\n 66\nx 91\n------\n```\n\n#### Step 2: Multiply 66 by 1 (the rightmost digit of 91).\n```\n 66\nx 91\n------\n 66 (66 * 1)\n```... | {"api_url": "http://127.0.0.1:39495", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30rl_1e6lr-sft", "prompt": [{"content": "What is the s... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30rl_1e6lr-sft", "n_responses": 1} | [
"To solve the problem of multiplying 66 by 91 using long multiplication, follow these steps:\n\n### Step-by-Step Solution:\n\n#### Step 1: Set up the multiplication.\n```\n 66\nx 91\n------\n```\n\n#### Step 2: Multiply 66 by 1 (the rightmost digit of 91).\n```\n 66\nx 91\n------\n 66 (66 * 1)\n```... | {"continuation_phrases": ["Hold on, let me verify this answer.", "But according to"], "continuations": [" The correct result should be 6066, not 6067.\n\nI apologize for the mistake in my previous response. Let's re-evaluate the multiplication carefully:\n\n1. **Multiply 66 by 1**: \n \\[\n 66 \\times 1 = 66\n \\... | {"api_url": "http://127.0.0.1:39495", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "min_tokens": 10, "temperature": 0.7, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30rl_1e6lr-sft", "prompt": [{"conten... | [
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What is the solution to the long multiplication equation below?
36 x 67
Think step by step. | 2412 | "{\"arg1\": 36, \"arg2\": 67, \"solution\": 2412}" | [
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"To solve the problem of multiplying 36 by 67 using long multiplication, follow these steps:\n\n1. **Set up the multiplication**: Write down the numbers one above the other:\n ```\n 36\n × 67\n ```\n\n2. **Multiply 36 by 7** (the ones digit of 67):\n - \\( 36 \\times 7 = 252 \\)\n - Write down 252 bel... | {"api_url": "http://127.0.0.1:39495", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "n": 1, "temperature": 0.7, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30rl_1e6lr-sft", "prompt": [{"content": "What ... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30rl_1e6lr-sft", "n_responses": 3} | [
"To solve the problem of multiplying 36 by 67 using long multiplication, follow these steps:\n\n1. **Set up the multiplication**: Write down the numbers one above the other.\n ```\n 36\n × 67\n ```\n\n2. **Multiply 36 by 7**:\n - Multiply 36 by 7 in the ones place: \\( 36 \\times 7 = 252 \\).\n - Writ... | {"api_url": "http://127.0.0.1:39495", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "temperature": 0.0, "top_p": 1.0}, "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30rl_1e6lr-sft", "prompt": [{"content": "What is the s... | {"backend": "litellm", "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30rl_1e6lr-sft", "n_responses": 1} | [
"To solve the multiplication problem \\(36 \\times 67\\), we can follow these steps:\n\n1. **Break down the numbers**: We can break down 67 into 60 and 7.\n So, \\(36 \\times 67 = 36 \\times (60 + 7)\\).\n\n2. **Use the distributive property**:\n This means we can distribute the multiplication over addition:\n ... | {"continuation_phrases": ["But according to", "Wait, let me try"], "continuations": [" standard multiplication rules, it's better to multiply directly without breaking them up.\n\n2. **Multiply 36 by 7**:\n - First, calculate \\(36 \\times 7\\):\n \\[\n 36 \\times 7 = 252\n \\]\n\n3. **Multiply 36 by 60**... | {"api_url": "http://127.0.0.1:39495", "backend": "litellm", "chat_template_applied": true, "generation_params": {"chat_template_applied": true, "max_tokens": 4096, "min_tokens": 10, "temperature": 0.7, "top_p": 0.8}, "model_name": "hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30rl_1e6lr-sft", "prompt": [{"conten... | [
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What is the solution to the long multiplication equation below?
43 x 53
Think step by step. | 2279 | "{\"arg1\": 43, \"arg2\": 53, \"solution\": 2279}" | [
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What is the solution to the long multiplication equation below?
33 x 34
Think step by step. | 1122 | "{\"arg1\": 33, \"arg2\": 34, \"solution\": 1122}" | [{"content":"What is the solution to the long multiplication equation below?\n\n33 x 34\n\nThink ste(...TRUNCATED) | longmult | longmult_2dig | null | null | null | null | null | null | null | null | null | null | null | null | null | ["To solve this problem, we need to perform the long multiplication of 33 and 34.\n\nHere's how it w(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30(...TRUNCATED) | ["To solve the problem of multiplying 33 by 34 using long multiplication, follow these steps:\n\n1. (...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30(...TRUNCATED) | ["To solve the problem \\( 33 \\times 34 \\), we can use the standard algorithm for multiplying two (...TRUNCATED) | "{\"continuation_phrases\": [\"However,\", \"But according to\"], \"continuations\": [\" since both (...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | ["To solve the problem \\( 33 \\times 34 \\), we can use the standard algorithm for multiplying two-(...TRUNCATED) | "{\"all_responses\": [\"To solve the problem \\\\( 33 \\\\times 34 \\\\), we can use the standard al(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "We gave the following question to a language model. We want you to look through the response it gav(...TRUNCATED) | ["{\"answer_spans\": [{\"context\": \"So, the final answer is:\", \"answer\": \"1122\"}, {\"context\(...TRUNCATED) | {"api_url":"","backend":"openai","chat_template_applied":false,"generation_params":{"temperature":0.(...TRUNCATED) | {
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"33 \\times 34 = 1122"
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What is the solution to the long multiplication equation below?
88 x 45
Think step by step. | 3960 | "{\"arg1\": 88, \"arg2\": 45, \"solution\": 3960}" | [{"content":"What is the solution to the long multiplication equation below?\n\n88 x 45\n\nThink ste(...TRUNCATED) | longmult | longmult_2dig | null | null | null | null | null | null | null | null | null | null | null | null | null | ["To solve the problem of multiplying 88 by 45 using long multiplication, follow these steps:\n\n1. (...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30(...TRUNCATED) | ["To solve the problem of multiplying 88 by 45 using long multiplication, follow these steps:\n\n1. (...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30(...TRUNCATED) | ["To solve the problem \\( 88 \\times 45 \\), we can break it down into simpler steps.\n\n### Step-b(...TRUNCATED) | "{\"continuation_phrases\": [\"But I need to verify this.\", \"Hold on, let me verify this answer.\"(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | ["To solve the problem of multiplying 88 by 45 using long multiplication, follow these steps:\n\n1. (...TRUNCATED) | "{\"all_responses\": [\"To solve the problem of multiplying 88 by 45 using long multiplication, foll(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "We gave the following question to a language model. We want you to look through the response it gav(...TRUNCATED) | [
"{\"answer_spans\": [{\"context\": \"So, the final answer is:\", \"answer\": \"4960\"}]}"
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What is the solution to the long multiplication equation below?
53 x 13
Think step by step. | 689 | "{\"arg1\": 53, \"arg2\": 13, \"solution\": 689}" | [{"content":"What is the solution to the long multiplication equation below?\n\n53 x 13\n\nThink ste(...TRUNCATED) | longmult | longmult_2dig | null | null | null | null | null | null | null | null | null | null | null | null | null | ["To solve the problem \\( 53 \\times 13 \\), we can break it down into simpler steps.\n\n### Step-b(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30(...TRUNCATED) | ["To solve the problem of multiplying 53 by 13 using long multiplication, follow these steps:\n\n###(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30(...TRUNCATED) | ["To solve the problem of multiplying 53 by 13 using long multiplication, follow these steps:\n\n###(...TRUNCATED) | "{\"continuation_phrases\": [\"Wait, let me try\", \"Wait, how?\"], \"continuations\": [\" again.\\n(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | ["To solve the problem of multiplying 53 by 13 using long multiplication, follow these steps:\n\nSte(...TRUNCATED) | "{\"all_responses\": [\"To solve the problem of multiplying 53 by 13 using long multiplication, foll(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "We gave the following question to a language model. We want you to look through the response it gav(...TRUNCATED) | [
"{\"answer_spans\": [{\"context\": \"Therefore, 53 \\u00d7 13 = 689.\", \"answer\": \"689\"}]}"
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What is the solution to the long multiplication equation below?
87 x 87
Think step by step. | 7569 | "{\"arg1\": 87, \"arg2\": 87, \"solution\": 7569}" | [{"content":"What is the solution to the long multiplication equation below?\n\n87 x 87\n\nThink ste(...TRUNCATED) | longmult | longmult_2dig | null | null | null | null | null | null | null | null | null | null | null | null | null | ["To solve the problem \\( 87 \\times 87 \\), we can follow these steps:\n\n1. **Write down the numb(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30(...TRUNCATED) | ["To solve the problem of multiplying two-digit numbers like \\(87 \\times 87\\), you can follow the(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30(...TRUNCATED) | ["To solve this problem using long multiplication, we'll follow these steps:\n\n1. **Write down the (...TRUNCATED) | "{\"continuation_phrases\": [\"However,\", \"Wait! I can double check this answer.\"], \"continuatio(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | ["To solve the problem \\( 87 \\times 87 \\), we can use the standard method of long multiplication.(...TRUNCATED) | "{\"all_responses\": [\"To solve the problem \\\\( 87 \\\\times 87 \\\\), we can use the standard me(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "We gave the following question to a language model. We want you to look through the response it gav(...TRUNCATED) | ["{\"answer_spans\": [{\"context\": \"So, the final product of 87 x 87 is:\", \"answer\": \"616\"}]}(...TRUNCATED) | {"api_url":"","backend":"openai","chat_template_applied":false,"generation_params":{"temperature":0.(...TRUNCATED) | {
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What is the solution to the long multiplication equation below?
89 x 80
Think step by step. | 7120 | "{\"arg1\": 89, \"arg2\": 80, \"solution\": 7120}" | [{"content":"What is the solution to the long multiplication equation below?\n\n89 x 80\n\nThink ste(...TRUNCATED) | longmult | longmult_2dig | null | null | null | null | null | null | null | null | null | null | null | null | null | ["To solve the problem \\( 89 \\times 80 \\), we can follow these steps:\n\n1. **Break down the numb(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30(...TRUNCATED) | ["To solve the problem \\( 89 \\times 80 \\), we can follow these steps:\n\n1. **Break down the numb(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30(...TRUNCATED) | ["To solve the problem of multiplying 89 by 80 using long multiplication, follow these steps:\n\n1. (...TRUNCATED) | "{\"continuation_phrases\": [\"However,\", \"Wait, let me try\"], \"continuations\": [\" since we ar(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | ["To solve the problem \\( 89 \\times 80 \\), we can follow these steps:\n\n1. **Break down the numb(...TRUNCATED) | "{\"all_responses\": [\"To solve the problem \\\\( 89 \\\\times 80 \\\\), we can follow these steps:(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "We gave the following question to a language model. We want you to look through the response it gav(...TRUNCATED) | ["{\"answer_spans\": [{\"context\": \"So, the final answer is:\", \"answer\": \"7120\"}, {\"context\(...TRUNCATED) | {"api_url":"","backend":"openai","chat_template_applied":false,"generation_params":{"temperature":0.(...TRUNCATED) | {
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What is the solution to the long multiplication equation below?
23 x 58
Think step by step. | 1334 | "{\"arg1\": 23, \"arg2\": 58, \"solution\": 1334}" | [{"content":"What is the solution to the long multiplication equation below?\n\n23 x 58\n\nThink ste(...TRUNCATED) | longmult | longmult_2dig | null | null | null | null | null | null | null | null | null | null | null | null | null | ["To solve this problem, we need to perform long multiplication on the numbers 23 and 58.\n\nHere's (...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30(...TRUNCATED) | ["To solve the problem of multiplying two numbers using long multiplication, let's break it down int(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/SIE-countdown3arg_mix_ppo_5sft_30(...TRUNCATED) | ["To solve this problem using long multiplication, follow these steps:\n\n1. **Write down the number(...TRUNCATED) | "{\"continuation_phrases\": [\"But I need to verify this.\", \"But to confirm,\"], \"continuations\"(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | ["To solve the problem of multiplying two numbers using long multiplication, let's break it down int(...TRUNCATED) | "{\"all_responses\": [\"To solve the problem of multiplying two numbers using long multiplication, l(...TRUNCATED) | "{\"api_url\": \"http://127.0.0.1:39495\", \"backend\": \"litellm\", \"chat_template_applied\": true(...TRUNCATED) | "We gave the following question to a language model. We want you to look through the response it gav(...TRUNCATED) | ["{\"answer_spans\": [{\"context\": \"Therefore, 23 x 58 = 2004.\", \"answer\": \"2004\"}, {\"contex(...TRUNCATED) | {"api_url":"","backend":"openai","chat_template_applied":false,"generation_params":{"temperature":0.(...TRUNCATED) | {
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