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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 [9, 20, 84], create an equation that equals 736. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 84*9 - 20 | countdown_3arg | countdown | [
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"To solve this problem, we need to use the numbers [9, 20, 84] and the arithmetic operations (+, -, *, /) to reach the target number 736. Let's break it down:\n\nStep 1: 84 * 9 = 756\nStep 2: 756 - 20 = 736\n\nTherefore, the final answer is:\n<answer>\nStep 1: 84 * 9 = 756\nStep 2: 756 - 20 = 736\n</answer>",
"To... | [
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"Step 1: 84 * 9 = 756\nStep 2: 756 - 20 = 736",
"Step 1: 20 * 84 = 1680\nStep 2: 1680 - 9 = 736",
"Step 1: 20 * 9 = 180\nStep 2: 84 * 2 = 168\nStep 3: 180 + 168 = 348\nStep 4: 348 + 398 = 736",
"Step 1: 84 + 9 = 93\nStep 2: 93 * 20 = 1860\nStep 3: 1860 - 112 = 736",
"Step 1: 84 * 9 = 756\nStep 2: 756 - 20 =... | [
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"Incorrect arithmetic in line: Step 2: 1680 - 9 = 736",
"Line uses unavailable numbers: Step 2: 84 * 2 = 168",
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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 [10, 100, 99], create an equation that equals 189. You can use basic arithmetic operations (+, -, *, /) and each number can ... | 99 - 10 + 100 | countdown_3arg | countdown | [
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"To solve this problem, we need to use the numbers [10, 100, 99] and basic arithmetic operations (+, -, *, /) to reach the target number 189. Let's break it down:\n\n1. We can start by trying to combine the numbers in a way that allows us to reach 189.\n2. One possible approach is to use multiplication and addition... | [
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"Step 1: 10\nStep 2: 10 * 9 = 90\nStep 3: 90 + 99 = 189",
"Step 1: 100 + 99 = 199\nStep 2: 199 - 10 = 189",
"Step 1: 100 + 99 = 199\nStep 2: 199 - 10 = 189",
"Step 1: 100 + 99 = 199\nStep 2: 199 - 10 = 189",
"Step 1: 10 * 100 = 1000\nStep 2: 1000 + 99 =... | [
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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 [16, 23, 24], create an equation that equals 184. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 23*(24 - 16) | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem using the numbers [16, 23, 24], we need to create an equation that equals 184. Let's break it down:\n\nStep 1: We can start by multiplying 24 and 23 to get a number close to 184.\n24 * 23 = 552\n\nStep 2: Now, we need to adjust this result to get closer to 184. We can do this by subtracting 68... | [
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"Step 1: 16 / 23 = 0.6956\nStep 2: 0.6956 * 24 = 16.7\nStep 3: 16.7 - 0.6956 = 16.0044\nStep 4: 16.0044 + 16 = 32.0044",
"Step 1: 24 * 7 = 168\nStep 2: 168 + 16 = 184",
"Step 1: 23 - 16 = 7\nStep 2: 7 * 24 = 168\nS... | [
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"Line uses unavailable numbers: Step 3: 168 + 16 = 184",
"Line uses unavailable numbers: Step 1: 24 * 8 = 192",
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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 [7, 96, 88], create an equation that equals 520. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 88*7 - 96 | countdown_3arg | countdown | [
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"To solve the problem, we need to use the numbers [7, 96, 88] and apply basic arithmetic operations to get the target number 520. Here's the step-by-step process:\n\n1. First, we need to multiply 96 and 88 to get a large number.\n Step 1: 96 * 88 = 8368\n\n2. Now, we need to subtract 7 from the result of the mult... | [
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"Step 1: 96 * 88 = 8368\nStep 2: 8368 + 7 = 8375\nStep 3: 8375 -... | [
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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 [8, 77, 67], create an equation that equals 152. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 8 + 67 + 77 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem using the numbers [8, 77, 67], we need to create an equation that equals 152. Let's break it down step by step:\n\n1. We know that 152 is a multiple of 8.\n2. We need to use the numbers 77 and 67 in the equation.\n3. We can use the operations +, -, *, and /.\n\nLet's try to construct the equat... | [
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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 [76, 7, 79], create an equation that equals 453. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 76*7 - 79 | countdown_3arg | countdown | [
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"To solve the problem of creating an equation using the numbers [76, 7, 79] that equals 453, we can follow these steps:\n\n1. Start by using the numbers 76 and 7 to get a product close to 453.\n2. Use the number 79 to adjust the result to 453.\n\nLet's break it down:\n\nStep 1: Calculate the product of 76 and 7.\n7... | [
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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 [94, 50, 71], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 94 + 71 - 50 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem of creating an equation using the numbers [94, 50, 71] that equals 115, we can follow these steps:\n\n1. Start with the numbers 94, 50, and 71.\n2. We need to use these numbers to reach the target number 115.\n3. Let's try different combinations of operations (+, -, *, /) to see if we can get ... | [
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"Step 1: 94 + 50 = 144\nStep 2: 144 - 29 = 115",
"Step 1: 94 - 50 = 44\nStep 2: 44 + 71 = 115",
"Step 1: 94 - 50 = 44\nStep 2: 44 * 71 = 3104\nStep 3: 3104 - 3104 = 0\nStep 4: 0 + 115 = 115",
"Step 1: 94 - 50 = 44\nStep 2: 44 + 71 = 1... | [
"Incorrect arithmetic in line: Step 3: 1150 - 100 = 115",
"Line uses unavailable numbers: Step 2: 144 - 29 = 115",
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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 [50, 10, 5], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 50*10/5 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem of creating an equation using the numbers [50, 10, 5] that equals 100, we need to use basic arithmetic operations (+, -, *, /) and ensure that each number is used exactly once.\n\nLet's start by considering different combinations of these numbers and operations:\n\n1. **Step 1:** Start with th... | [
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"Step 1: 50 * 10 = 500\nStep 2: 500 + 5 = 100",
"Step 1: 50 + (50 / 10) * 5 = 100",
"Step 1: 50 + 10 = 60\nStep 2: 60 * 5 = 300",
"Step 1: 50 + 10 = 60\nStep 2: 60 * 1.6667 = 100",
"Step 1: 50 + 10 = 60\nStep 2: 60 - 5 = 55",
"Step 1: 50 * 10 = 500\nStep 2: 5... | [
"Incorrect final answer",
"Incorrect arithmetic in line: Step 2: 500 + 5 = 100",
"Incorrect arithmetic in line: Step 1: 50 + (50 / 10) * 5 = 100",
"Incorrect final answer",
"Incorrect arithmetic in line: Step 2: 60 * 1.6667 = 100",
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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 [37, 85, 10], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 10 + 85 + 37 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem of creating an equation using the numbers [37, 85, 10] that equals 132, we need to use basic arithmetic operations and ensure each number is used only once.\n\nHere's the step-by-step process:\n\n1. **Start with the given numbers**: 37, 85, 10.\n2. **Identify the target number**: 132.\n3. **Co... | [
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"Step 1: 85 * 10 = 850\nStep 2: 850 + 37 = 887\nStep 3: 887 - 10 = 877",
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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 [6, 59, 82], create an equation that equals 272. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 6*59 - 82 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [6, 59, 82] and apply basic arithmetic operations (+, -, *, /) to get the target number 272. Let's break it down step by step.\n\nStep 1: We need to find a way to combine these numbers to get 272. One possible approach is to use multiplication and addition.\n\nStep... | [
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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 [84, 2, 88], create an equation that equals 344. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 2*(84 + 88) | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [84, 2, 88] and apply basic arithmetic operations (+, -, *, /) to get the target number 344. We can use each number only once.\n\nLet's break it down:\n\n1. First, we need to combine 84 and 2 to get a number close to 344. Let's try multiplying 84 by 2:\n Step 1: ... | [
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"Step 1: 84 * 2 = 168\nStep 2: 168 + 88 = 256\nStep 3: 344... | [
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"Line uses unavailable numbers: Step 3: 8 + 84 = 92",
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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 [25, 62, 63], create an equation that equals 100. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 62 - 25 + 63 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [25, 62, 63] and apply basic arithmetic operations (+, -, *, /) to get the target number 100. \n\nStep 1: Let's try to use the largest number first, which is 63. We can subtract 25 from 63 to get 38.\nStep 2: Now we have 38 and 62. We can add 62 to 38 to get 100.\n... | [
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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 [69, 72, 77], create an equation that equals 576. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 72*(77 - 69) | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem of creating an equation using the numbers [69, 72, 77] that equals 576, we need to use basic arithmetic operations. Let's break it down step by step:\n\n1. **Step 1:** We start with the number 72. We can add or subtract other numbers to get close to 576. Let's try adding 154 to 72.\n - Step ... | [
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"Step 1: 77 * 72 = 5424\nStep 2: 5424 - 69 = 5355\nStep 3: 5355 / 77 = 69",
"Step 1: (72 + 69) - 77 = 64\nStep 2: 64 * 9 = 576",
"Step 1: 72 * 77 = 5424\nStep 2: 5424 - 72 = 5352\nStep 3: 5352 / 72 = 74\nStep 4: 77 - 69 = 8\nStep 5: 8 * 7... | [
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"Incorrect arithmetic in line: Step 1: 77 * 72 = 5424",
"Line uses unavailable numbers: Step 2: 64 * 9 = 576",
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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 [99, 50, 15], create an equation that equals 134. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 99 - 15 + 50 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [99, 50, 15] and the operations (+, -, *, /) to reach the target number 134. Let's break it down:\n\n1. First, we can add 50 and 15 to get a number close to 134:\n Step 1: 50 + 15 = 65\n\n2. Now, we need to add 99 to the result from step 1 to reach 134:\n Step ... | [
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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 [12, 96, 80], create an equation that equals 640. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 96*80/12 | countdown_3arg | countdown | [
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"To solve the problem using the numbers [12, 96, 80], we need to create an equation that equals 640. Let's start by considering the numbers and their potential operations.\n\nStep 1: We can start by multiplying 96 and 80 to get a large number.\n\n96 * 80 = 7680\n\nStep 2: Now we need to find a way to get 640 from 7... | [
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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 [81, 84, 52], create an equation that equals 217. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 52 + 81 + 84 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem, we need to use the numbers [81, 84, 52] and the operations (+, -, *, /) to get the target number 217.\n\nStep 1: First, let's try to use 81 as a starting point. We can try to add or subtract other numbers to get close to 217.\n\nStep 2: Let's start by adding 84 to 81:\n81 + 84 = 165\n\nStep 3... | [
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"Incorrect final answer",
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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 [90, 69, 33], create an equation that equals 192. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 90 + 33 + 69 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [90, 69, 33] and the arithmetic operations (+, -, *, /) to reach the target number 192. Let's break it down step by step.\n\n1. Start with the number 90.\n2. We need to get to 192, so we should multiply 90 by 2 because 192 / 2 = 96.\n3. Now we have 96, but we need ... | [
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"Step 1: 90 - 69 = 21\nStep 2: 21 * 9 = 189\nStep 3: 189 + 3 = 192",
"Step 1: (90 + 69) = 159\nStep 2: 159 * 33 = 5247\nStep 3: 5247 / 33 = 161",
"Step 1: 90 / 33 = 2.727272727272727\nStep 2: 2.727272727272727 + 69 =... | [
"Line uses unavailable numbers: Step 1: 90 * 2 = 180",
"Line uses unavailable numbers: Step 2: 21 * 9 = 189",
"Incorrect arithmetic in line: Step 3: 5247 / 33 = 161",
"Line uses unavailable numbers: Step 2: 2.727272727272727 + 69 = 71.72727272727272",
"Line uses unavailable numbers: Step 1: 90 * 2 = 180",
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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 [28, 6, 32], create an equation that equals 220. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 32*6 + 28 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem of creating an equation using the numbers [28, 6, 32] that equals 220, we can follow these steps:\n\n1. Start with the number 32.\n2. Multiply 32 by 6 to get 192.\n3. Subtract 28 from 192 to get 164.\n4. Subtract 6 from 164 to get 158.\n5. Subtract 6 again to get 152.\n6. Subtract 6 again to g... | [
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"Line uses unavailable numbers: Step 3: 164 - 6 = 158",
"Incorrect arithmetic in line: Step 2: 168 + 32 = 220",
"Line uses unavailable numbers: Step 1: 28 / 2 = 14",
"Incorrect arithmetic in line: Step 2: 168 + 32 = 220",
"Line uses unavailable numbers: Step 3: 10 * 2 = 20",
"Incorrect arithmetic in line:... | [
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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 [23, 17, 6], create an equation that equals 155. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 23*6 + 17 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [23, 17, 6] and apply basic arithmetic operations (+, -, *, /) to get the target number 155. Let's break it down step by step.\n\nStep 1: We need to multiply 23 and 17 first. This will give us a large number.\n\nStep 2: Then, we need to divide the result from Step ... | [
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"Step 1: 23 * 6 = 138\nStep 2: 138 + 17 = 155",
"Step 1: 23 * 17 = 391\nStep 2: 391 - 6 = 385\nStep 3: 385 + 6 = 155",
"Step 1: 23 + 17 = 40\nStep 2: 40 - 6 = 34\nStep 3: 34 * 4 = 136\nStep 4: 136 - 17 = 119\nStep 5: 119 - 17 = 102\nStep 6: 102 - 17 = 85\nStep 7:... | [
"Incorrect arithmetic in line: Step 2: 391 / 6 = 65",
null,
"Incorrect arithmetic in line: Step 3: 385 + 6 = 155",
"Line uses unavailable numbers: Step 3: 34 * 4 = 136",
"Line uses unavailable numbers: Step 3: 121 * 17 = 2057",
"Could not evaluate line: Step 1: 23 × 6 = 138",
"No <final_answer> or <answ... | [
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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 [76, 44, 5], create an equation that equals 144. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 5*44 - 76 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [76, 44, 5] and the operations (+, -, *, /) to get the target number 144.\n\nStep 1: Let's start by multiplying 76 and 44.\nStep 2: Then, we need to add 5 to the result from Step 1.\nStep 3: Finally, we will divide the result from Step 2 by 3 to get the target numb... | [
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"Step 1: 76 - 44 = 32\nStep 2: 32 * 4 = 128\nStep 3: 128 + 16 = 144",
"Step 1: 76 * 44 = 3344\nStep 2: 3344 / 2 = 1672\nStep 3: 1672 + 5 = 144",
"Step 1: 76 - 5 = 71\nStep 2: 71 * 44 = 3124\nStep 3: 3124 - 2 = 3122\nStep... | [
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"Line uses unavailable numbers: Step 2: 32 * 4 = 128",
"Line uses unavailable numbers: Step 2: 3344 / 2 = 1672",
"Line uses unavailable numbers: Step 3: 3124 - 2 = 3122",
"Line uses unavailable numbers: Step 3: 3339 / 5 = 667.8",
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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 [86, 69, 21], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 86 + 69 + 21 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem of creating an equation using the numbers [86, 69, 21] that equals 176, we can follow these steps:\n\nStep 1: We need to use all three numbers exactly once. Let's start by trying to combine them in a way that might lead us to the target number.\n\nStep 2: One possible approach is to multiply t... | [
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"Step 1: 86 + 69 + 21 = 176",
"Step 1: 86 + 69 = 155\nStep 2: 155 - 21 = 134\nStep 3: 134 + 42 = 176",
"Step 1: 86 + 69 = 155\nStep 2: 155 - 21 = 134\nStep 3: 134 + 42 = 176",
"Step 1: 86 - 21 = 65\nStep 2: 65 + 111 = 176",
"Step 1: 86 * 21 = 1766\nStep 2... | [
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null,
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"Line uses unavailable numbers: Step 3: 134 + 42 = 176",
"Line uses unavailable numbers: Step 2: 65 + 111 = 176",
"Incorrect arithmetic in line: Step 1: 86 * 21 = 1766",
"Incorrect arit... | [
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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 [80, 7, 40], create an equation that equals 840. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 7*(40 + 80) | countdown_3arg | countdown | [
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"To solve this problem, we need to use the numbers [80, 7, 40] and the arithmetic operations (+, -, *, /) to reach the target number 840. Let's break it down:\n\n1. First, we can multiply 80 by 7:\n 80 * 7 = 560\n\n2. Next, we can add 40 to the result:\n 560 + 40 = 600\n\n3. Finally, we can add 80 to the result... | [
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"Step 1: 80 * 7 = 560\nStep 2: 560 + 40 = 600\nStep 3: 600 - 60 = 540\nStep 4: 540 + 100 = 640\nStep 5: 640 + 40 = 680\nStep 6: 680 + 60 = 740\nStep 7: 740 + 100 = 840",
"Step 1: 80 * 7 = 560\nStep 2: 560 + 40 = 840",
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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 [64, 73, 76], create an equation that equals 192. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 64*(76 - 73) | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem using the numbers [64, 73, 76], we need to create an equation that equals 192. We can use basic arithmetic operations (+, -, *, /) and each number can only be used once.\n\nStep 1: 76 * 2 = 152\nStep 2: 64 - 152 = -88\nStep 3: -88 * 73 = -6404\n\nSo, the final answer is:\n\n<answer>\nStep 1: 7... | [
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fa... | alternative | {"source_dataset": "countdown", "source_index": 2410, "numbers": [64, 73, 76], "target": 192, "expression": "64*(76 - 73)"} | [
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"Step 1: 76 * 2 = 152\nStep 2: 152 - 64 = 88\nStep 3: 88 + 73 = 161\nStep 4: 161 * 76 = 192",
"Step 1: 76 * 2 = 152\nStep 2: 152 - 73 = 79\nStep 3: 79 + 64 = 143\nStep 4: 143 - 49 = 94\nStep 5: 94 + 76 = 192",
"Step 1: 76 / 4 = 19\nStep... | [
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"Line uses unavailable numbers: Step 1: 76 * 2 = 152",
"Line uses unavailable numbers: Step 1: 76 * 2 = 152",
"Line uses unavailable numbers: Step 1: 76 / 4 = 19",
"Line uses unavailable numbers: Step 3: 67 - 73 = -6",
"Incorrect final answer",
null... | [
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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 [74, 72, 38], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 74 - 38 + 72 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem of creating an equation using the numbers [74, 72, 38] that equals 108, we can follow these steps:\n\nStep 1: Start by adding 74 and 72.\n74 + 72 = 146\n\nStep 2: Now, we need to add 38 to the result from Step 1.\n146 + 38 = 184\n\nStep 3: Since the result is not 108, we need to adjust the equ... | [
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t... | alternative | {"source_dataset": "countdown", "source_index": 2412, "numbers": [74, 72, 38], "target": 108, "expression": "74 - 38 + 72"} | [
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"Step 1: 74 - 72 = 2\nStep 2: 2 + 38 = 40\nStep 3: 40 * 2 = 80\nStep 4: 80 - 108 = -28\nStep 5: -28 + 108 = 80",
"Step 1: 74 * 72 = 5288\nStep 2: 5288 - 38 = 5250\nStep 3: 5250 / 38 = 138.94736842105263",
"Step 1: 74 / 38 = 2\nStep 2: 2 + 72 = 74\nStep 3: 74 - ... | [
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"Incorrect arithmetic in line: Step 1: 74 * 72 = 5288",
"Incorrect arithmetic in line: Step 1: 74 / 38 = 2",
"Line uses unavailable numbers: Step 1: 74 - 2 = 72",
"Incorrect arithmetic in line: Step 3: 2740 / 38 = 72",
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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 [79, 19, 30], create an equation that equals 128. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 19 + 79 + 30 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [79, 19, 30] and apply basic arithmetic operations to get the target number 128.\n\nStep 1: We can start by multiplying 79 and 19 to get a number close to 128.\nStep 2: Then, we can add 30 to the result from Step 1 to get the final number 128.\n\nSo, the equation i... | [
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... | alternative | {"source_dataset": "countdown", "source_index": 2413, "numbers": [79, 19, 30], "target": 128, "expression": "19 + 79 + 30"} | [
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"Step 1: 136.3 - 8.3 = 128",
"Step 1: 79 + 19 = 98\nStep 2: 98 + 30 = 128",
"Step 1: 79 + 19 = 98\nStep 2: 98 * 30 = 2940",
"Step 1: 79 * 19 = 1501\nStep 2: 1501 / 11 = 136.4545\nStep 3:... | [
"Incorrect arithmetic in line: Step 2: 1501 + 30 = 128",
"Line uses unavailable numbers: Step 3: 90 + 38 = 128",
"Line uses unavailable numbers: Step 1: 136.3 - 8.3 = 128",
null,
"Incorrect final answer",
"Incorrect arithmetic in line: Step 2: 1501 / 11 = 136.4545",
"Incorrect arithmetic in line: Step 3... | [
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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 [64, 45, 84], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 64 + 84 - 45 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem of creating an equation using the numbers [64, 45, 84] that equals 103, we need to use the given numbers and basic arithmetic operations. Here's a step-by-step approach:\n\n1. **Identify the target number**: We need to achieve the result of 103.\n\n2. **Consider possible operations**: We can u... | [
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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 [82, 74, 85], create an equation that equals 241. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 82 + 74 + 85 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [82, 74, 85] and the arithmetic operations (+, -, *, /) to reach the target number 241. Let's break it down:\n\n1. Start with the first number, 82.\n2. Add 74 to it to get 156.\n3. Add 85 to the result to get 241.\n\nSo, the equation is:\nStep 1: 82 + 74 = 156\nSte... | [
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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 [94, 51, 25], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 94 + 51 - 25 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [94, 51, 25] and the operations (+, -, *, /) to reach the target number 120. Let's break it down:\n\n1. First, we can add 94 and 51 to get 145.\n2. Then, we can subtract 25 from 145 to get 120.\n\nSo, the equation would be:\nStep 1: 94 + 51 = 145\nStep 2: 145 - 25 ... | [
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"Step 1: 94 * 51 = 4854\nStep 2: 4854 / 25 = 194",
"Step 1: 94 - 14 = 80\nStep 2: 80 - 37 = 43\nStep 3: 43 + 12 = 55\nStep 4: 55 * 2 = 110\nStep 5: 110 + 10 = 120",
"Step 1: 94 - 51 = 43\nStep 2: 43 + 25 = 68\nStep 3: 68 + 51 = 119\nStep 4: 119 - 1 = 118\nStep ... | [
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"Line uses unavailable numbers: Step 1: 94 - 14 = 80",
"Line uses unavailable numbers: Step 3: 68 + 51 = 119",
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"Incorrect arithmetic in line: Step 1: 94 * 51 = 4834",
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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 [56, 64, 80], create an equation that equals 640. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 80*(64 - 56) | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [56, 64, 80] and apply basic arithmetic operations (+, -, *, /) to get the target number 640. Let's break it down step by step.\n\nStep 1: We can start by multiplying 56 and 80 to get a large number.\nStep 2: Then, we can add 64 to the result from step 1 to get the... | [
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"Step 1: 80 * 8 = 640",
"Step 1: 56 * 80 = 4480\nStep 2: 4480 / 64 = 640",
"Step 1: 80 * 8 = 640",
"Step 1: 56 * 12 = 672\nStep 2: 672 - 32 = 640",
"Step 1: 56 * 80 = 4480\nStep 2: 4480 + 64 = 640",
"Step 1: 56 * 80 = 4480\nStep 2: 4480 - 80 = 4400\nSt... | [
"Incorrect final answer",
"Line uses unavailable numbers: Step 1: 80 * 8 = 640",
"Incorrect arithmetic in line: Step 2: 4480 / 64 = 640",
"Line uses unavailable numbers: Step 1: 80 * 8 = 640",
"Line uses unavailable numbers: Step 1: 56 * 12 = 672",
"Incorrect arithmetic in line: Step 2: 4480 + 64 = 640",
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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 [89, 21, 41], create an equation that equals 109. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 41 + 89 - 21 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [89, 21, 41] and apply basic arithmetic operations (+, -, *, /) to get the target number 109.\n\nStep 1: Let's start by trying to combine the numbers in a way that might lead us to the target number. One approach could be to use the largest number and try to subtra... | [
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"Step 1: 89 + 21 = 110\nStep 2: 110 - 1 = 109",
"Step 1: 89 * 21 = 1869\n... | [
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"Incorrect final answer",
"Incorrect arithmetic in line: Step 3: 69 + 41 = 109",
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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 [72, 44, 46], create an equation that equals 144. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 72*(46 - 44) | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem, we need to use the numbers [72, 44, 46] and the arithmetic operations (+, -, *, /) to get the target number 144. Here's the step-by-step process:\n\n1. Start with the number 72.\n2. Add 44 to 72:\n Step 1: 72 + 44 = 116\n3. Subtract 46 from the result:\n Step 2: 116 - 46 = 70\n4. Add 44 t... | [
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"Line uses unavailable numbers: Step 2: 3312 - 144 = 3168",
"Line uses unavailable numbers: Step 1: 46 * 3 = 138",
"Line uses unavailable numbers: Step 1: 44 * 3 = 132",
"Incorrect arithmetic in line: Step 2: 2024 + 72 = 2144",
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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 [17, 82, 86], create an equation that equals 185. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 82 + 86 + 17 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [17, 82, 86] and the operations (+, -, *, /) to reach the target number 185. Let's break it down step by step:\n\n1. First, we need to combine two of the numbers to get a number close to 185. Let's try 86 and 17:\n 86 + 17 = 103\n\n2. Now we need to get closer to... | [
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"Step 1: 17 + 82 = 99\nStep 2: 99 + 86 = 185",
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"Step 1: 17 + 82 = 99\nStep 2: 99 + 86 = 185",
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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 [90, 100, 50], create an equation that equals 140. You can use basic arithmetic operations (+, -, *, /) and each number can ... | 90 + 100 - 50 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [90, 100, 50] and the arithmetic operations (+, -, *, /) to get the target number 140.\n\nStep 1: Start by adding 90 and 50.\n90 + 50 = 140\n\nStep 2: Since we have reached the target number 140, we can stop here.\n\n<answer>\nStep 1: 90 + 50 = 140\n</answer>",
"... | [
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"Step 1: 90 * 50 = 4500\nStep 2: 4500 - 100 = 4400\nStep 3: 4400 / 30 = 146.66666666666666\nStep 4: 146.66666666666666 + 100 = 246.66666666666666\nStep 5: 246.66666666666666 - 100 = 146.66666666666666",
"Step 1: 100 - 50 = 50\nStep 2: 50 + 90 = 140",
"Step 1: 100 - 50 = 50\nStep 2: 50... | [
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null,
null,
"Line uses unavailable numbers: Step 2: 40 + 26 = 66",
"Incorrect arithmetic in line: Step 3: 8950 / 61 = 145",
null,
"Line uses unavailable numbers: Step 3: 8950 - 50 = 8900",
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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 [23, 12, 16], create an equation that equals 215. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 16*12 + 23 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [23, 12, 16] and apply basic arithmetic operations (+, -, *, /) to get the target number 215.\n\nStep 1: 16 * 12 = 192\nStep 2: 23 - 192 = -169\n\nNow we have -169, which is not the target number. Let's try another combination.\n\nStep 1: 16 * 12 = 192\nStep 2: 23 ... | [
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fals... | alternative | {"source_dataset": "countdown", "source_index": 2423, "numbers": [23, 12, 16], "target": 215, "expression": "16*12 + 23"} | [
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"Step 1: 16 * 12 = 192\nStep 2: 192 + 23 = 215",
"Step 1: 23 - 16 = 7\nStep 2: 7 + 12 = 19\nStep 3: 19 * 12 = 228",
"Step 1... | [
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null,
"Line uses unavailable numbers: Step 3: 19 * 12 = 228",
null,
"Incorrect arithmetic in line: Step 3: 51 - 12 = 215",
"Incorrect final answer",
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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 [26, 7, 68], create an equation that equals 450. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 7*68 - 26 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem, we need to use the numbers [26, 7, 68] and apply basic arithmetic operations (+, -, *, /) to get the target number 450. Let's break it down:\n\nStep 1: We can start by multiplying 68 and 7 to get a large number.\n68 * 7 = 476\n\nStep 2: Now, we need to adjust this number to get closer to 450.... | [
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"Step 1: 68 * 7 = 476\nStep 2: 476 + 26 = 502",
"Step 1: 26 * 7 = 182\nStep 2: 182 + 68 = 250\nStep 3: 250 * 7 = 1750",
"Step 1: 68 * 7 = 476\nStep 2: 476 - 26 = 450",
"Step 1: 68 * 7 = 476\nStep 2: 476 - 26 = 450",
"Step 1: 26 * 7 = 182\nStep 2: 182 - 68 = ... | [
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"Incorrect arithmetic in line: Step 2: 182 * 68 = 12496",
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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 [33, 56, 23], create an equation that equals 703. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 33*23 - 56 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem, we need to use the numbers [33, 56, 23] and the operations (+, -, *, /) to reach the target number 703. Let's break it down:\n\nStep 1: We need to start with a combination of the numbers to get close to 703. One possible approach is to use the number 56, which is close to 703.\n\nStep 2: Let'... | [
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"Step 1: 33 * 23 = 759\nStep 2: 759 + 56 = 815\nStep 3: 815 - 10 = 805\nStep 4: 805 + 98 = 803\nStep 5: 803 - 9 = 794\nStep 6: 794 + 9 = 703",
"Step 1: 33 / 23 = 1.3043478260869565\nStep 2: 1.3043478260869565 + 56 = 703",
"Step 1: 33 * ... | [
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"Line uses unavailable numbers: Step 3: 815 - 10 = 805",
"Incorrect arithmetic in line: Step 1: 33 / 23 = 1.3043478260869565",
null,
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"Line uses unavailable numbers: Step 3: 1871 - 23 = 1848",
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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 [32, 45, 10], create an equation that equals 275. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 32*10 - 45 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem, we need to use the numbers [32, 45, 10] and the operations (+, -, *, /) to get the target number 275. Let's break it down step by step:\n\n1. We start with the number 32.\n2. We can add 45 to 32 to get 77.\n3. Now we have 77, and we need to get to 275. We can do this by multiplying 77 by 3.\n... | [
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"Step 1: 32 + 45 = 77\nStep 2: 77 * 10 = 770\nStep 3: 770 + 10 = 780",
"Step 1: 32 * 10 = 320\nStep 2: 320 - 45 = 275",
"Step 1: 10 * 32 = 320\nStep 2: 320 - 45 = 275",
"Step 1: 32... | [
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"Line uses unavailable numbers: Step 1: 32 / 1.25 = 25.6",
"Line uses unavailable numbers: Step 3: 770 + 10 = 780",
null,
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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 [90, 5, 83], create an equation that equals 168. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 83 + 90 - 5 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem of creating an equation using the numbers [90, 5, 83] that equals 168, we can follow these steps:\n\n1. First, let's try to use the largest number, 90, as the starting point.\n2. We can subtract 5 from 90 to get 85.\n3. Now, we need to get closer to 168. We can add 83 to 85 to get 168.\n\nSo, ... | [
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"Step 1: 90 * 83 = 7470\nStep 2: 7470 - 5 = 7465\nStep 3: 7465 / 83 = 90",
"Step 1: 90 - 5 = 85\nStep 2: 85 + 83 = 168",
"Step 1: 90 / 5 = 18\nStep 2: 18 + 83 = 101\nStep 3: 101 * 1.68 = 168",
"Step 1: 90 * 5 = 450\nStep 2: 450 - 83 = 367\nStep 3: 367 - 299 = 16... | [
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"Incorrect arithmetic in line: Step 3: 367 - 299 = 168",
"Incorrect arithmetic in line: Step 3: 7475 - 7470 = 168",
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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 [99, 41, 52], create an equation that equals 192. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 41 + 99 + 52 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem, we need to use the numbers [99, 41, 52] and the arithmetic operations (+, -, *, /) to reach the target number 192. Here's how we can break it down:\n\nStep 1: First, let's try to combine 99 and 41 to get a number close to 192. We can do this by adding them together:\n 99 + 41 = 140\n\nStep ... | [
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"Step 1: 99 - 41 = 58\nStep 2: 58 * 52 = 3016\nStep 3: 3016 + 1 = 192",
"Step 1: 99 + 41 = 139\nStep 2: 139 - 52 = 87\nStep 3: 87 + 1 = 88\nStep 4: 192 - 88 = 192",
"Step 1: 99 + 41 = 140\nStep 2: 140 + 52 = 192",
"Step 1: 99 + 41 = 140\... | [
"Line uses unavailable numbers: Step 2: 140 - 41 = 99",
"Incorrect arithmetic in line: Step 3: 3016 + 1 = 192",
"Incorrect arithmetic in line: Step 1: 99 + 41 = 139",
null,
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"Incorrect arithmetic in line: Step 1: 99 * 41 = 3989",
"Incorrect arithmetic in line: Step 1: 99 * (41 + 52 - 1) = 192",
"... | [
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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 [61, 93, 96], create an equation that equals 128. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 96 - 61 + 93 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem of creating an equation using the numbers [61, 93, 96] that equals 128, we can follow these steps:\n\n1. **Identify the numbers and the target number**: We have the numbers [61, 93, 96] and the target number is 128.\n\n2. **Consider the operations**: We can use addition (+), subtraction (-), m... | [
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"Step 1: 96 * 93 = 8,928\nStep 2: 8,928 / 61 = 146\nStep 3: 146 * 61 = 8,626",
"Step 1: 96 / 93 = 1.0246\nStep 2: 1.0246 + 61 = 62.0246\nStep 3: 62.0246 * 2 = 124.0492",
"Step 1: 93 - 61 = 32\nStep 2: 32 * 4 = 128",
"Step 1: 96 - 61 = 35\nStep 2: 35 + 58 = 93\nS... | [
"Line uses unavailable numbers: Step 1: 96 * 1 = 96",
"Could not evaluate line: Step 1: 96 * 93 = 8,928",
"Incorrect arithmetic in line: Step 1: 96 / 93 = 1.0246",
"Line uses unavailable numbers: Step 2: 32 * 4 = 128",
"Line uses unavailable numbers: Step 2: 35 + 58 = 93",
"Line uses unavailable numbers: ... | [
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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 [49, 22, 60], create an equation that equals 131. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 49 + 60 + 22 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [49, 22, 60] and the arithmetic operations (+, -, *, /) to reach the target number 131.\n\nStep 1: Let's start by adding 49 and 22.\nStep 2: Now, we need to multiply the result by 60.\nStep 3: Finally, we need to add 1 to the result to get the target number 131.\n\... | [
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"Step 1: 49 + 22 = 71\nStep 2: 71 - 60 = 131",
"Step 1: 49 / 3 = 16.333333333333332\nStep 2: 16.333333333333332 * 8 = 130.66666666666666\nStep 3: 130.66666666666666 + 1 = 131",
"Step 1: 60 - 22 = 38\nStep 2: 49 - 22 = 27\nStep 3: 60 + 27 ... | [
"Incorrect arithmetic in line: Step 3: 4260 + 1 = 131",
"Incorrect arithmetic in line: Step 2: 71 - 60 = 131",
"Line uses unavailable numbers: Step 1: 49 / 3 = 16.333333333333332",
"Line uses unavailable numbers: Step 2: 49 - 22 = 27",
"Line uses unavailable numbers: Step 1: 60 + 71 = 131",
"Missing '=' i... | [
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [73, 95, 86], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 86 + 95 - 73 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [73, 95, 86] and the operations (+, -, *, /) to get the target number 108.\n\nStep 1: First, let's try to use the largest number, 95, as a potential target number. We can subtract 86 from 95 to get 9.\nStep 2: Now, we have 73 and 9. We can add these two numbers to ... | [
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"Incorrect arithmetic in line: Step 2: 22 * 86 = 1872",
"Line uses unavailable numbers: Step 2: 159 - 51 = 108",
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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 [32, 17, 83], create an equation that equals 132. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 32 + 17 + 83 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem, we need to use the numbers [32, 17, 83] and apply basic arithmetic operations to get the target number 132. Here's a step-by-step approach:\n\n1. First, let's try to combine the numbers to get a number close to 132. We can start by adding 32 and 17:\n Step 1: 32 + 17 = 49\n\n2. Now, we need... | [
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"Step 1: 32 + 17 = 49\nStep 2: 49 * 83 = 132",
"Step 1: 32 * 17 = 544\nStep 2: 544 + 83 = 627",
"Step 1: 32 * 17 = 544\nStep 2: 544 * 83 = 132",
"Step 1: 32 * 4 = 128\nStep 2: 128 + 17 = 145\nStep 3: 145 - 13 = 132",
"Step 1: 83 - 17 = 66\nStep 2: 66 * 2 = 13... | [
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"Line uses unavailable numbers: Step 2: 66 * 2 = 132",
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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 [94, 75, 8], create an equation that equals 506. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 8*75 - 94 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [94, 75, 8] and the arithmetic operations (+, -, *, /) to reach the target number 506. Let's break it down:\n\n1. Start with the number 94.\n2. We need to get to 506, so we should multiply 94 by a number that will help us get close to 506.\n3. If we multiply 94 by ... | [
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"Step 1: 94 * 75 = 6900\nStep 2: 6900 - 8 = 6892\nStep 3: 6892 / 8 = 861.5",
"Step 1: 94 - 75 = 19\nStep 2: 19 * 8 = 152\nStep 3: 152 + 354 = 506",
"Step 1: 8 / 8 = 1\nStep 2: 1 * 94 = 94\nStep 3: 94 + 75 = 506",
"Step 1: 94 - 75 = 19\nStep 2: 19 * 26 = 506",
... | [
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"Incorrect arithmetic in line: Step 1: 94 * 75 = 6900",
"Line uses unavailable numbers: Step 3: 152 + 354 = 506",
"Line uses unavailable numbers: Step 1: 8 / 8 = 1",
"Incorrect arithmetic in line: Step 2: 19 * 26 = 506",
"Incorrect arithmetic in line:... | [
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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 [76, 78, 95], create an equation that equals 249. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 78 + 95 + 76 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [76, 78, 95] and apply basic arithmetic operations (+, -, *, /) to get the target number 249. Let's break it down step by step:\n\nStep 1: Start with the number 95.\nStep 2: Add 78 to 95 to get 173.\nStep 3: Add 76 to 173 to get 249.\n\nSo, the final answer is:\n<a... | [
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"Step 1: 76 - 78 = -2\nStep 2: 95 + 76 = 171\nStep 3: 171 - 78 = 93\nStep 4: 93 + 76 = 169\nStep 5: 169 + 78 = 247\nStep 6: 247 + 2 = 249",
"Step 1: 76 + 78 = 154\nStep 2: 154 * 95 = 14,630\nStep 3: 14,630 - 13,181 = 1,449\nStep 4: 1,449 / 7 = 207\nStep 5: ... | [
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"Incorrect arithmetic in line: Step 2: 154 * 95 = 249",
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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 [85, 64, 46], create an equation that equals 195. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 46 + 85 + 64 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem using the numbers [85, 64, 46] and basic arithmetic operations, we can follow these steps:\n\n1. First, we need to use the number 85 in our equation. We can add 85 to 64 to get a number close to 195.\n Step 1: 85 + 64 = 149\n\n2. Now, we need to adjust our equation to reach the target number... | [
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"Step 1: 85 + 64 = 149\nStep 2: 149 - 46 = 103\nStep 3: 1... | [
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null,
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"Line uses unavailable numbers: Step 3: 103 + 92 = 195",
"Line uses unavailable numbers: Step 2: 5440 - 4645 = 795",
"Incorrect arithmetic in line: Step 1: 85 / 64 = 1.3125... | [
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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 [60, 65, 11], create an equation that equals 114. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 65 + 60 - 11 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [60, 65, 11] and the operations (+, -, *, /) to get the target number 114.\n\nStep 1: Let's start by multiplying 65 and 11.\n65 * 11 = 715\n\nStep 2: Now, we need to find a way to get closer to 114 using the remaining number, which is 60.\n715 - 60 = 655\n\nStep 3:... | [
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"Step 1: 65 - 11 = 54\nStep 2: 54 * 60... | [
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"Incorrect final answer",
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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 [22, 63, 61], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 61 + 63 + 22 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem using the numbers [22, 63, 61], we need to create an equation that equals 146. Let's break it down:\n\n1. We need to use each number once.\n2. We can use basic arithmetic operations: +, -, *, /.\n\nLet's start by trying different combinations:\n\nStep 1: 22 + 63 = 85\nStep 2: 85 - 61 = 24\n\nN... | [
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"Step 1: 63 * 61 = 3813\nStep 2: 3813 + 22 = 3835\nStep 3: 3835 - 22 = 14... | [
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"Incorrect arithmetic in line: Step 1: 63 * 61 = 3813",
"Incorrect arithmetic in line: Step 1: 63 * 61 = 3813",
"Incorrect arithmetic in line: Step 1: 63 * 61 = 3823",
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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 [16, 29, 21], create an equation that equals 800. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 16*(21 + 29) | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem of creating an equation using the numbers [16, 29, 21] that equals 800, we can follow these steps:\n\n1. **Step 1:** We start by using the number 21. Let's add it to itself:\n \\[\n 21 + 21 = 42\n \\]\n\n2. **Step 2:** Next, we need to reach a number close to 800. Let's multiply the resu... | [
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"Step 1: 21 + 21 = 42\nStep 2: 42 \\times 21 = 882\nStep 3: 882 - 82 = 800",
"Step 1: 16 * 21 = 336\nStep 2: 336 * 29 = 9824",
"Step 1: 16 * 29 = 464\nStep 2: 464 + 21 = 485\nStep 3: 485 - 85 = 400\nStep 4: 400 * 2 = 800",
"Step 1: 29 / 3 = 9\nStep 2: 16 - 16 = 0\nStep 3: 9 * 5 = 45\nStep 4: 16 + 45 = 61",
... | [
"Line uses unavailable numbers: Step 1: 21 + 21 = 42",
"Incorrect arithmetic in line: Step 2: 336 * 29 = 9824",
"Line uses unavailable numbers: Step 3: 485 - 85 = 400",
"Incorrect arithmetic in line: Step 1: 29 / 3 = 9",
"Incorrect arithmetic in line: Step 2: 464 * 21 = 9704",
"Incorrect arithmetic in lin... | [
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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 [98, 47, 61], create an equation that equals 112. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 98 - 47 + 61 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [98, 47, 61] and apply basic arithmetic operations to get the target number 112.\n\nStep 1: Let's start by trying to use the largest number, 98, to get close to 112. We can try subtracting 47 from 98.\n98 - 47 = 51\n\nStep 2: Now we have 51 and 61. We need to get c... | [
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"Step 1: 98 - 47 = 51\nStep 2: 51 + 61 = 112",
"Step 1: 98 * 47 = 4506\nStep 2: 4506 - 61 = 4445",
"Step 1: 98 - 61 = 37\nStep 2: 37 + 47 = 84\nStep 3: 84 + 28 = 112",
"Step 1: 61 - 47 = 14\nStep 2: 14 + 98 = 112",
"Step 1: 98 - 47 = 51\nStep 2: 51 + 61 = 112",
"Step 1: 98 - 47 = 51\nStep 2: 51 + 61 = 112... | [
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"Incorrect arithmetic in line: Step 1: 98 * 47 = 4506",
"Line uses unavailable numbers: Step 3: 84 + 28 = 112",
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"Line uses unavailable numbers: Step 2: 145 - 33 = 112",
"Line uses unavailable numbers: Step 3: 5931 + 61 = 5992",
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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 [24, 25, 59], create an equation that equals 108. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 24 + 59 + 25 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [24, 25, 59] and apply basic arithmetic operations (+, -, *, /) to get the target number 108.\n\nStep 1: Let's start by trying to use the largest number, 59, as it can help us get closer to 108 quickly.\n\nStep 2: We can subtract 24 from 59 to get 35. Now we have t... | [
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"Step 1: 25 * 4 = 100\nStep 2: 100 + 8 = 108",
"Step 1: 59 * 2 = 118\nStep 2: 118 - 108 = 10\nStep 3: 10 - 39 = 10",
"Step 1: 24 + 24 = 48\nStep 2: 48 + 25 = 73\nStep 3: 73 - 59 = 14\nStep 4: 14 * 7 = 108",
"Step 1: 25 * 24 = 600\nStep 2:... | [
"Incorrect arithmetic in line: Step 3: 60 * 1.5 = 108",
"Line uses unavailable numbers: Step 1: 25 * 4 = 100",
"Line uses unavailable numbers: Step 1: 59 * 2 = 118",
"Line uses unavailable numbers: Step 1: 24 + 24 = 48",
"Line uses unavailable numbers: Step 3: 541 - 25 = 516",
"Line uses unavailable numbe... | [
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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 [66, 100, 6], create an equation that equals 996. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 6*(66 + 100) | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [66, 100, 6] and the operations (+, -, *, /) to reach the target number 996. Let's break it down:\n\n1. First, we need to use the number 66. We can multiply 66 by 100 to get a number close to 996.\n Step 1: 66 * 100 = 6600\n\n2. Now, we need to adjust this result... | [
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"Step 1: 100 / 6 = 16.67 (rounding to the nearest whole number gives 17)\nStep 2: 17 * 66 = 1122\nStep 3: 1122 + 6 = 1128",
"Step 1: 100 + 66 = 166\nStep 2: 166 * 6 = 996",
"Step 1: 100 * 6 = 600\nStep 2: 600 + 196 = 796\nStep 3: 7... | [
"Incorrect arithmetic in line: Step 3: 6594 - 5998 = 996",
"Could not evaluate line: Step 1: 100 / 6 = 16.67 (rounding to the nearest whole number gives 17)",
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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 [46, 74, 6], create an equation that equals 202. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 6*46 - 74 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [46, 74, 6] and the operations (+, -, *, /) to reach the target number 202. Let's break it down:\n\n1. We need to multiply 46 and 74 first:\n 46 * 74 = 3364\n\n2. Now, we need to add 6 to the result:\n 3364 + 6 = 3370\n\n3. Finally, we need to subtract 6 from t... | [
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"Step 1: 74 * 6 = 444\nStep 2: 444 - 242 = 202\nStep 3: 202 - 46 = 156\nStep 4: 156 + 46 = 202",
"Step 1: 74 + 46 = 120\nStep 2: 120 + 6 = 126\nStep 3: 126 - 20 = 106",
"Step 1: 74 * 6 = 444\nStep 2: 444 - 242 = 202",
"Step 1: 46 + ... | [
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"Line uses unavailable numbers: Step 2: 444 - 242 = 202",
"Line uses unavailable numbers: Step 3: 126 - 20 = 106",
"Line uses unavailable numbers: Step 2: 444 - 242 = 202",
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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 [98, 77, 16], create an equation that equals 191. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 16 + 77 + 98 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem of creating an equation using the numbers [98, 77, 16] that equals 191, we need to use basic arithmetic operations and ensure each number is used only once.\n\nLet's start by trying different combinations of operations:\n\nStep 1: First, let's try adding and subtracting the numbers.\n98 + 77 =... | [
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"Step 1: 98 * 77 = 7526\nStep 2: 7526 + 16 = 7542\nStep 3: 7542 - 1 = 7541",
"Step 1: 98 - 77 = 21\nStep 2: 21 + 16 = 37",
"Step 1: 98 - 16 = 82\nStep 2: 77 + 16 = 93\nStep 3: 82 * 77 = 6324\nStep 4: 6324 / 32 = 1... | [
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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 [36, 97, 30], create an equation that equals 103. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 97 - 30 + 36 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [36, 97, 30] and the operations (+, -, *, /) to get the target number 103. We can start by trying different combinations of operations and numbers.\n\nStep 1: Let's try to use the number 36 as a base and see if we can reach 103 with the other two numbers.\n\nStep 2... | [
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"Step 1: 36 + 67 = 103",
"Step 1: 97 - 36 = 61\nStep 2: 61 + 30 = 91\nStep 3: 91 + 2 = 93\nStep 4: 93 + 10 = 103",
"Step 1: 36 + 97 = 133\nStep 2: 133 - 30 = 103",
"Step 1: 97 + 30 = 127\nStep 2: 127 - 24 = 103",
"Step 1: 36 + 97 = 133\nStep 2: 133 - 30 = 103",
"Step 1: 97 - 30 = 67\nStep 2: 67 + 36 = 103... | [
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"Line uses unavailable numbers: Step 3: 91 + 12 = 103",
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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 [43, 8, 45], create an equation that equals 389. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 8*43 + 45 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem using the numbers [43, 8, 45], we need to create an equation that equals 389. Let's break it down step by step:\n\n1. We know that 43 + 8 = 51\n2. We also know that 45 * 8 = 360\n3. Now, we need to find a way to combine these results to get 389.\n\nLet's try to use the numbers 43, 8, and 45 in... | [
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"Step 1: 43 + 8 = 51\nStep 2: 51 + 45 = 96\nStep 3: 96 * 4 = 384\nStep 4: 384 + 5 = 389",
"Step 1: 45 + 43 = 88\nStep 2: 88 + 8 = 96\nStep 3: 96 + 413 = 509\nStep 4: 509 - 120 = 389",
"Step 1: 45 * 8 = 360\nStep 2: 360 + 43 = 403\nStep 3: 403 - 16 = 387\nStep 4: 387 + 2 = 389",
"Step 1: 43 * 8 = 344\nStep 2: ... | [
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"Line uses unavailable numbers: Step 3: 96 + 413 = 509",
"Line uses unavailable numbers: Step 3: 403 - 16 = 387",
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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 [4, 53, 58], create an equation that equals 270. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 53*4 + 58 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem of creating an equation using the numbers [4, 53, 58] that equals 270, we need to find a combination of these numbers and basic arithmetic operations that will result in 270. Let's break it down step by step.\n\n1. First, let's try to use the number 53 as a potential starting point. We can sub... | [
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"Step 1: 58 * 4 = 232\nStep 2: 232 + 53 = 285",
"Step 1: 58 * 4 = 232\nStep 2: 232 - 53 = 179\nStep 3: 179 + 97 = 270",
"Step 1: 58 * 5 = 290\nStep 2: 290 - 20 = 270",
"Step 1: 58 * 4 = 232\... | [
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"Incorrect final answer",
"Incorrect arithmetic in line: Step 3: 179 + 97 = 270",
"Line uses unavailable numbers: Step 1: 58 * 5 = 290",
"Line uses unavailable numbers: Step 3: 285 - 15 = 270",
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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 [65, 59, 65], create an equation that equals 189. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 59 + 65 + 65 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem using the numbers [65, 59, 65], we need to create an equation that equals 189. We can use basic arithmetic operations (+, -, *, /) and each number can only be used once.\n\nStep 1: Let's try to use the number 65 as a base and see if we can get close to 189.\n\nStep 2: We can start by multiplyi... | [
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"Line uses unavailable numbers: Step 3: 3900 + 65 = 3965",
"Line uses unavailable numbers: Step 3: 3900 - 65 = 3835",
"Line uses unavailable numbers: Step 3: 3770 / 65 = 58",
"Incorrect final answer",
"Incorrect final answer",
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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 [38, 10, 3], create an equation that equals 104. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 38*3 - 10 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [38, 10, 3] and the operations (+, -, *, /) to reach the target number 104.\n\nStep 1: We can start by dividing 38 by 3.\nStep 2: Then, we can add 10 to the result from Step 1.\nStep 3: Finally, we can add 104 to the result from Step 2.\n\nHere's the equation:\nSte... | [
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"",
"Step 1: 38 - 3 = 35\nStep 2: 35 + 3 * 10 = 104",
"Step 1: 38 * 3 = 114\nStep 2: 11... | [
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"Incorrect arithmetic in line: Step 3: 383 - 339 = 104",
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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 [19, 99, 94], create an equation that equals 174. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 99 + 94 - 19 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [19, 99, 94] and apply basic arithmetic operations (+, -, *, /) to get the target number 174.\n\nHere's one way to do it:\n\n1. First, we can multiply 99 and 94:\n Step 1: 99 * 94 = 9306\n\n2. Next, we can add 19 to the result from step 1:\n Step 2: 9306 + 19 =... | [
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"Step 1: 99 * 94 = 9306\nStep 2: 9306 + 19 = 9325",
"Step 1: 19 * 94 = 1806\nStep 2: 1806 / 99 = 18",
"Step 1: 99 - 19 = 80\nStep 2: 80 + 94 = 174",
"Step 1: 99 - 19 = 80\nStep 2: 80 * 94 = 7520\nStep 3: 7520 + 174 = 7694",
"Step 1: 99 - 94 = 5\nStep 2: 5 + 19 = 24\nStep 3: 24 * 7 = 174",
"Step 1: 19 + 94... | [
"Incorrect final answer",
"Incorrect arithmetic in line: Step 1: 19 * 94 = 1806",
null,
"Line uses unavailable numbers: Step 3: 7520 + 174 = 7694",
"Incorrect arithmetic in line: Step 3: 24 * 7 = 174",
"Line uses unavailable numbers: Step 2: 113 + 61 = 174",
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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 [7, 41, 36], create an equation that equals 539. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 7*(41 + 36) | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [7, 41, 36] and apply basic arithmetic operations to get the target number 539. Let's break it down:\n\n1. First, we need to find a combination of these numbers that will lead us to 539. One way to do this is to multiply 41 and 36, and then add 7 to the result.\n\n... | [
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"Step 1: 41 * 36 = 1476\nStep 2: 1476 - 937 = 539",
"Step 1: 7 * 36 = 252\nStep 2: 252 + 41 = 293\nStep 3: 293 + 248 = 541\nStep 4: 541 - 12 = 529\nStep 5: 529 + 10 = 539",
"Step 1:... | [
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"Line uses unavailable numbers: Step 2: 1476 - 937 = 539",
"Line uses unavailable numbers: Step 3: 293 + 248 = 541",
"Line uses unavailable numbers: Step 2: 287 + 252 = 539",
"Line uses unavailable numbers: Step 1: 41 * 13 = 533",
"Incorrect arit... | [
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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 [86, 34, 99], create an equation that equals 219. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 34 + 86 + 99 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem of creating an equation using the numbers [86, 34, 99] that equals 219, we need to use basic arithmetic operations. Here's a step-by-step approach:\n\n1. **Identify the target number**: The target number is 219.\n2. **Consider the largest numbers**: Since 219 is a relatively large number, we s... | [
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"Step 1: 99 + 125 = 224\nStep 2: 224 - 5 = 219",
"Step 1: 99 - 34 = 65\nStep 2: 65 + 86 = 151\nStep 3: 151 * 1 = 151\nStep 4: 151 + 68 = 219",
"Step 1: 99 * 34 = 3366\nStep 2: 3366 - 86 = 3280\nStep 3: 3280 - 101 = 219... | [
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"Line uses unavailable numbers: Step 1: 99 + 125 = 224",
"Line uses unavailable numbers: Step 3: 151 * 1 = 151",
"Incorrect arithmetic in line: Step 3: 3280 - 101 = 219",
"Line uses unavailable numbers: Step 1: 99 * 2 = 198",
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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 [5, 60, 1], create an equation that equals 301. You can use basic arithmetic operations (+, -, *, /) and each number can onl... | 60*5 + 1 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [5, 60, 1] and apply basic arithmetic operations to reach the target number 301. Let's break it down:\n\nStep 1: Start with the number 1.\nStep 2: Multiply 1 by 5 to get 5.\nStep 3: Add 60 to 5 to get 65.\nStep 4: Multiply 65 by 1 to get 65.\nStep 5: Subtract 65 fr... | [
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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 [3, 93, 58], create an equation that equals 154. You can use basic arithmetic operations (+, -, *, /) and each number can on... | 3 + 58 + 93 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem, we need to use the numbers [3, 93, 58] and apply basic arithmetic operations to get the target number 154.\n\nStep 1: First, we can multiply 93 by 58.\n93 * 58 = 5454\n\nStep 2: Now, we need to add 3 to the result from Step 1.\n5454 + 3 = 5457\n\nStep 3: Finally, we need to subtract 3 from th... | [
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"Step 1: 3 * 93 = 279\nStep 2: 2... | [
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"Incorrect arithmetic in line: Step 1: 93 * 58 = 5454",
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"Line uses unavailable numbers: Step 2: 279 - 22 = 257",
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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 [78, 63, 87], create an equation that equals 228. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 63 + 78 + 87 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem, we need to use the numbers [78, 63, 87] and apply basic arithmetic operations (+, -, *, /) to reach the target number 228. We can start by combining the numbers in a way that leads to the target number.\n\nStep 1: Let's try to use the largest number first, which is 87.\nStep 2: We can try to ... | [
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... | alternative | {"source_dataset": "countdown", "source_index": 2463, "numbers": [78, 63, 87], "target": 228, "expression": "63 + 78 + 87"} | [
"Step 1: 87 - 63 = 24\nStep 2: 78 + 24 = 102\nStep 3: 102 * 2 = 204\nStep 4: 204 + 24 = 228",
"Step 1: 87 * 2 = 174\nStep 2: 174 - 63 = 111\nStep 3: 228 - 111 = 117",
"Step 1: 78 * 63 = 4914\nStep 2: 4914 - 63 = 4851\nStep 3: 4851 / 15 = 323\nStep 4: 323 + 3 = 228",
"Step 1: 78 + 63 = 141\nStep 2: 141 * 87 = ... | [
"Line uses unavailable numbers: Step 3: 102 * 2 = 204",
"Line uses unavailable numbers: Step 1: 87 * 2 = 174",
"Line uses unavailable numbers: Step 2: 4914 - 63 = 4851",
"Incorrect arithmetic in line: Step 2: 141 * 87 = 12327",
"Line uses unavailable numbers: Step 2: 141 - 141 = 0",
"Incorrect arithmetic ... | [
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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 [72, 23, 16], create an equation that equals 296. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 23*16 - 72 | countdown_3arg | countdown | [
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"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem of creating an equation using the numbers [72, 23, 16] that equals 296, we can follow these steps:\n\n1. First, we need to find a combination of these numbers that will multiply to 296.\n2. We can start by dividing 296 by 16, which gives us 18.5. Since we can't use a fraction in an equation, w... | [
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fal... | alternative | {"source_dataset": "countdown", "source_index": 2464, "numbers": [72, 23, 16], "target": 296, "expression": "23*16 - 72"} | [
"Step 1: 16 * 18 = 288\nStep 2: 288 + 8 = 296",
"Step 1: 16 * 16 = 256\nStep 2: 256 + 23 = 279\nStep 3: 279 - 81 = 296",
"Step 1: 72 * 4 = 288\nStep 2: 288 + 23 = 311\nStep 3: 311 - 16 = 295",
"Step 1: 72 + 23 = 95\nStep 2: 95 * 16 = 1520",
"Step 1: 72 * 4 = 288\nStep 2: 288 + 8 = 296",
"Step 1: 72 / 23 =... | [
"Line uses unavailable numbers: Step 1: 16 * 18 = 288",
"Line uses unavailable numbers: Step 1: 16 * 16 = 256",
"Line uses unavailable numbers: Step 1: 72 * 4 = 288",
"Incorrect final answer",
"Line uses unavailable numbers: Step 1: 72 * 4 = 288",
"Incorrect arithmetic in line: Step 1: 72 / 23 = 3",
"In... | [
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"prompt": ... | {
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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 [46, 55, 92], create an equation that equals 101. You can use basic arithmetic operations (+, -, *, /) and each number can o... | 92 + 55 - 46 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve the problem of creating an equation using the numbers [46, 55, 92] that equals 101, we need to use basic arithmetic operations (+, -, *, /) and each number can only be used once. Let's break it down step by step:\n\n1. First, we need to combine the numbers to get close to 101. We can start by multiplying ... | [
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fa... | alternative | {"source_dataset": "countdown", "source_index": 2465, "numbers": [46, 55, 92], "target": 101, "expression": "92 + 55 - 46"} | [
"Step 1: 92 * 55 = 5060\nStep 2: 5060 - 46 = 5014\nStep 3: 5014 / 46 = 108.69565217391304\nStep 4: 108.69565217391304 ≈ 101",
"Step 1: 46 * 2 = 92\nStep 2: 92 + 9 = 101",
"Step 1: 92 - 55 = 37\nStep 2: 37 + 46 = 83\nStep 3: 83 + (92 * 2) = 101",
"Step 1: 46 + 55 = 101",
"Step 1: 46 + 55 = 101\nStep 2: 101 *... | [
"Incorrect arithmetic in line: Step 3: 5014 / 46 = 108.69565217391304",
"Line uses unavailable numbers: Step 1: 46 * 2 = 92",
"Incorrect arithmetic in line: Step 3: 83 + (92 * 2) = 101",
null,
"Line uses unavailable numbers: Step 3: 9292 / 92 = 101",
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"model_name": "hosted_vllm/allenai/Olmo-3-7B-Instruct-SFT",
"prompt": ... | {
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"model_name": "hosted_vllm/allenai/Olmo-3-7B-Instruct-SFT",
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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [73, 100, 35], create an equation that equals 138. You can use basic arithmetic operations (+, -, *, /) and each number can ... | 100 + 73 - 35 | countdown_3arg | countdown | [
{
"content": "You like to find multiple answers for a question then deliberate over them saying \"Alternatively,\" between each answer you are deliberating on and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving an answer... | [
"To solve this problem, we need to use the numbers [73, 100, 35] and the arithmetic operations (+, -, *, /) to get the target number 138. Let's break it down step by step.\n\n1. We start with the number 73.\n2. We need to reach 138, so we need to add some numbers to 73 to get close to 138.\n3. We can use the number... | [
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"Step 1: 73 * 2 = 146\nStep 2: 146 - 100 = 46\nStep 3: 46 + 35 = 81\nStep 4: 81 * 1.7 = 138",
"Step 1: 173 - 35 = 138",
"Step 1: 100 * 35 = 3500\nStep 2: 3500 - 73 = 3427\nStep 3: 3427 + 73 = 138",
"Step 1: 73 + 100 = 173\nStep 2: 173 - 35 = 138",
"Step 1:... | [
null,
"Line uses unavailable numbers: Step 1: 73 * 2 = 146",
"Line uses unavailable numbers: Step 1: 173 - 35 = 138",
"Incorrect arithmetic in line: Step 3: 3427 + 73 = 138",
null,
"Line uses unavailable numbers: Step 3: 2655 - 138 = 2517",
null,
"Line uses unavailable numbers: Step 3: 8 + 35 = 43",
... | [
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"prompt": ... | {
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