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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 [11, 74, 83], create an equation that equals 146. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
74 + 83 - 11
countdown_3arg
countdown
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[ "To solve this problem, we need to use the numbers 11, 74, and 83 exactly once and combine them using basic arithmetic operations to get the target number, which is 146.\n\nStep-by-step solution:\n\n1. First, let's try combining these numbers with addition and multiplication.\n - We start by trying different comb...
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[ "Step 1: 74 * 83 = 6082\nStep 2: 6082 + 11 = 6093\nStep 3: 6093 - 6093 = 0\nStep 4: 0 + 146 = 146", "Step 1: 74 + 83 = 157\nStep 2: 157 - 11 = 146", "", "Step 1: 11 * 83 = 913\nStep 2: 913 - 74 = 839\nStep 3: 839 - 11 = 828\nStep 4: 828 + 11 = 839", "Step 1: 146 - 83 = 63\nStep 2: 63 + 11 = 74\nStep 3: 74 +...
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[ "<think>\n<sample>\nTo solve for 146 using the numbers [11, 74, 83], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 146. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** First, let’s try adding some combinations...
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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 [21, 65, 46], create an equation that equals 901. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
46*21 - 65
countdown_3arg
countdown
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[ "To solve this problem, we need to find a combination of the given numbers [21, 65, 46] using basic arithmetic operations that results in the target number 901. Let's start by considering different combinations and operations.\n\nStep 1: First, let's try adding some of these numbers together.\n21 + 65 + 46 = 132\n\...
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{"source_dataset": "countdown", "source_index": 6003, "numbers": [21, 65, 46], "target": 901, "expression": "46*21 - 65"}
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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, 74, 62], create an equation that equals 516. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
43*(74 - 62)
countdown_3arg
countdown
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[ "To solve this problem using the numbers [43, 74, 62] and basic arithmetic operations (+, -, *, /), we need to find a combination that equals 516.\n\nFirst, let's try adding some combinations together:\n\nStep 1: 43 * 74 = 3182\nStep 2: 3182 - 62 = 3120\n\nThis doesn't quite get us to 516, so let's try another appr...
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{"source_dataset": "countdown", "source_index": 6004, "numbers": [43, 74, 62], "target": 516, "expression": "43*(74 - 62)"}
[ "Step 1: 74 - 62 = 12\nStep 2: 43 * 12 = 516", "Step 1: 43 * 12 = 516", "Step 1: 74 - 43 = 31\nStep 2: 31 + 62 = 93\nStep 3: 93 * 5 = 465\nStep 4: 465 + 11 = 476\nStep 5: 476 + 11 = 516", "Step 1: 43 * 74 = 3182\nStep 2: 3182 - 2666 = 516", "Step 1: 74 - 43 = 31\nStep 2: 31 * 62 = 1902", "Step 1: 43 * 12 ...
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[ "<think>\n<sample>\nTo solve for 516 using the given numbers [43, 74, 62], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 516. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify Potential Combinations**: We star...
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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 [77, 99, 3], create an equation that equals 179. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
77 + 3 + 99
countdown_3arg
countdown
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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, 63, 77], create an equation that equals 117. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
77 - 23 + 63
countdown_3arg
countdown
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[ "To solve this problem, we need to use the numbers [23, 63, 77] and apply basic arithmetic operations (+, -, *, /) to reach the target number 117.\n\nStep 1: First, let's try to combine the numbers in a way that might help us reach the target. We can start by adding 63 and 77 together.\n\n63 + 77 = 140\n\nStep 2: N...
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{"source_dataset": "countdown", "source_index": 6006, "numbers": [23, 63, 77], "target": 117, "expression": "77 - 23 + 63"}
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[ "<think>\n<sample>\nTo solve for 117 using the numbers 23, 63, and 77 with each being used exactly once:\n\n1. First, let's try adding all three numbers together.\n - Step 1: 23 + 63 + 77\n\n2. Now we have the sum from Step 1 as our new total.\n \n3. Next, we need to adjust this sum so that when divided by any ...
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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, 58, 60], create an equation that equals 242. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
60*5 - 58
countdown_3arg
countdown
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[ "To solve the problem of creating an equation using the numbers [5, 58, 60] that equals 242, we can follow these steps:\n\n1. First, we need to use the number 58 and 60 in some way.\n2. We can try to use the number 5 in a way that will help us reach the target number 242.\n\nLet's start by considering the number 58...
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{"source_dataset": "countdown", "source_index": 6007, "numbers": [5, 58, 60], "target": 242, "expression": "60*5 - 58"}
[ "Step 1: 60 - 58 = 2\nStep 2: 58 + 2 = 60\nStep 3: 60 * 5 = 300\nStep 4: 300 - 142 = 158\nStep 5: 158 + 5 = 163\nStep 6: 163 + 80 = 243\nStep 7: 243 - 1 = 242", "", "Step 1: 58 * 4 = 232\nStep 2: 232 + 60 = 292\nStep 3: 292 + 4 = 242", "Step 1: 58 * 4 = 232\nStep 2: 242 - 232 = 10", "Step 1: 58 + 60 = 118\n...
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[ "<think>\n<sample>\nTo solve for 242 using the numbers [5, 58, 60], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 242. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** First, let’s try combining some of the num...
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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, 33, 99], create an equation that equals 990. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
33*33 - 99
countdown_3arg
countdown
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[ "To solve this problem, we need to use the numbers [33, 33, 99] and the operations (+, -, *, /) to get the target number 990. Let's break it down:\n\n1. First, we need to find a way to combine these numbers to get close to 990. We can start by trying to use the largest number, 99, and see if we can get closer to 99...
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{"source_dataset": "countdown", "source_index": 6008, "numbers": [33, 33, 99], "target": 990, "expression": "33*33 - 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 [50, 42, 76], create an equation that equals 168. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
76 + 42 + 50
countdown_3arg
countdown
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[ "To solve this problem, we need to use the numbers [50, 42, 76] and the basic arithmetic operations (+, -, *, /) to get the target number 168. Let's break it down:\n\n1. We can start by trying different combinations of the numbers and operations to see if we can reach 168.\n\nStep 1: Let's try using 76 as a startin...
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{"source_dataset": "countdown", "source_index": 6009, "numbers": [50, 42, 76], "target": 168, "expression": "76 + 42 + 50"}
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[ "<think>\n<sample>\nTo solve for 168 using the numbers [50, 42, 76], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 168. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify Possible Combinations**: We have three ...
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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 [83, 2, 10], create an equation that equals 176. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
2*83 + 10
countdown_3arg
countdown
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[ "To solve this problem, we need to use the numbers [83, 2, 10] and the arithmetic operations (+, -, *, /) to reach the target number 176. We can use each number only once.\n\nStep 1: Let's start by trying to use the number 83. We can multiply it by 2 to get 166. Now we have 166 and the remaining numbers [2, 10].\n\...
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{"source_dataset": "countdown", "source_index": 6010, "numbers": [83, 2, 10], "target": 176, "expression": "2*83 + 10"}
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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 [100, 66, 8], create an equation that equals 158. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
66 - 8 + 100
countdown_3arg
countdown
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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 [54, 81, 93], create an equation that equals 120. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
81 - 54 + 93
countdown_3arg
countdown
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{"source_dataset": "countdown", "source_index": 6012, "numbers": [54, 81, 93], "target": 120, "expression": "81 - 54 + 93"}
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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 [57, 96, 17], create an equation that equals 873. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
57*17 - 96
countdown_3arg
countdown
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[ "To solve this problem, we need to use the numbers [57, 96, 17] and apply basic arithmetic operations (+, -, *, /) to get the target number 873. Let's break it down:\n\nStep 1: 96 * 17 = 1632\nStep 2: 1632 - 57 = 1575\n\nTherefore, the final answer is:\n<answer>\nStep 1: 96 * 17 = 1632\nStep 2: 1632 - 57 = 1575\n</...
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{"source_dataset": "countdown", "source_index": 6013, "numbers": [57, 96, 17], "target": 873, "expression": "57*17 - 96"}
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[ "<think>\n<sample>\nTo solve for 873 using the numbers 57, 96, and 17, we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will yield 873. Let's break down the process:\n\n1. **Identify possible combinations**: We have three numbers (57, 96, 17). The first...
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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 [100, 77, 58], create an equation that equals 235. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
100 + 58 + 77
countdown_3arg
countdown
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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 [55, 92, 69], create an equation that equals 216. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
69 + 92 + 55
countdown_3arg
countdown
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{"source_dataset": "countdown", "source_index": 6015, "numbers": [55, 92, 69], "target": 216, "expression": "69 + 92 + 55"}
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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 [21, 86, 83], create an equation that equals 148. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
86 + 83 - 21
countdown_3arg
countdown
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[ "To solve the problem of creating an equation using the numbers [21, 86, 83] that equals 148, we need to find a combination of arithmetic operations that will result in 148. Let's break it down step by step:\n\n1. **Identify the target number**: We need to get 148 as the result.\n2. **Consider possible operations**...
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{"source_dataset": "countdown", "source_index": 6016, "numbers": [21, 86, 83], "target": 148, "expression": "86 + 83 - 21"}
[ "", "Step 1: 21 + 86 = 107\nStep 2: 107 - 83 = 24", "Step 1: 83 + 21 = 104\nStep 2: 104 * 86 = 8904\nStep 3: 8904 + 21 = 8925\nStep 4: 8925 - 83 = 8842", "Step 1: 86 * 83 = 7178\nStep 2: 7178 - 21 = 7157\nStep 3: 7157 + 21 = 148", "Step 1: 86 * 21 = 1786\nStep 2: 1786 + 83 = 1869", "Step 1: 86 - 21 = 65\n...
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[ "<think>\n<sample>\nTo solve for the target number 148 using the given numbers [21, 86, 83], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 148. Let's break down the process:\n\n### Step-by-Step Solution\n\n**Step 1:** First, let’s try ...
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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, 62, 79], create an equation that equals 222. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
81 + 79 + 62
countdown_3arg
countdown
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[ "To solve this problem, we need to use the numbers [81, 62, 79] and the operations (+, -, *, /) to reach the target number 222. Let's break it down step by step:\n\nStep 1: 81 - 62 = 19\nStep 2: 19 * 79 = 1501\n\nSo, the final answer is:\n<answer>\nStep 1: 81 - 62 = 19\nStep 2: 19 * 79 = 1501\n</answer>", "To sol...
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{"source_dataset": "countdown", "source_index": 6017, "numbers": [81, 62, 79], "target": 222, "expression": "81 + 79 + 62"}
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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 [67, 33, 41], create an equation that equals 858. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
33*(67 - 41)
countdown_3arg
countdown
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[ "To solve this problem, we need to use the numbers [67, 33, 41] and the operations (+, -, *, /) to reach the target number 858.\n\nStep 1: Let's start by trying to use the largest numbers first, as they will make the calculation easier.\n\nStep 2: We can try to multiply 67 and 33 first, which gives us 2211.\n\nStep...
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{"source_dataset": "countdown", "source_index": 6018, "numbers": [67, 33, 41], "target": 858, "expression": "33*(67 - 41)"}
[ "Step 1: 67 * 33 = 2211\nStep 2: 2211 + 41 = 2252\nStep 3: 2252 - 41 = 2211", "Step 1: 67 + 33 = 100\nStep 2: 100 * 41 = 4100", "Step 1: 67 * 33 = 2211\nStep 2: 2211 - 41 = 2170\nStep 3: 2170 / 2 = 1085\nStep 4: 1085 + 858 = 1943", "Step 1: 67 * 41 = 2727\nStep 2: 2727 - 1870 = 857\nStep 3: 857 - 1 = 856\nSte...
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[ "<think>\n<sample>\nTo solve for 858 using the numbers 67, 33, and 41, we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 858. Let's start with some possible combinations:\n\n### Step-by-Step Solution\n\n1. **First Combination**:\n - Star...
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[ [ "\\( 67 + 33 + 41 = 141 \\)\nNext,\n\\( 141 \\times 6 = 846 \\)\n\nOops! Let me double check:\n\nFinal Answer:\n<answer>\n\\( 67 + 33 + 41 = 141 \\)\nThen,\n\\( 141 \\times 6 = 846 \\)\n\nBut wait, I missed something crucial initially. Let's break down correctly:\n\nInitial sum:\n\\( 67 + 33 + 41 = 141 \\)\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 [58, 27, 18], create an equation that equals 428. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
18*27 - 58
countdown_3arg
countdown
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[ "To solve this problem, we need to use the numbers [58, 27, 18] and apply basic arithmetic operations (+, -, *, /) to get the target number 428. Let's break it down:\n\n1. First, we need to multiply 58 and 27:\n Step 1: 58 * 27 = 1566\n\n2. Now, we need to subtract 18 from the result:\n Step 2: 1566 - 18 = 1548...
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{"source_dataset": "countdown", "source_index": 6019, "numbers": [58, 27, 18], "target": 428, "expression": "18*27 - 58"}
[ "Step 1: 58 * 27 = 1566\nStep 2: 1566 - 18 = 1548\nStep 3: 1548 + 100 = 1648", "Step 1: 58 * 27 = 1566\nStep 2: 1566 - 18 = 1548\nStep 3: 428 + 80 = 428", "Step 1: 58 / 27 = 2.148148148148148\nStep 2: 2.148148148148148 * 18 = 386.66666666666662\nStep 3: 386.66666666666662 - 18 = 368.66666666666662\nStep 4: 368....
[ "Line uses unavailable numbers: Step 3: 1548 + 100 = 1648", "Incorrect arithmetic in line: Step 3: 428 + 80 = 428", "Incorrect arithmetic in line: Step 2: 2.148148148148148 * 18 = 386.66666666666662", "Line uses unavailable numbers: Step 3: 28188 / 6 = 4698", "Incorrect arithmetic in line: Step 3: 1017 / 27...
[ "<think>\n<sample>\nTo solve for 428 using the numbers 58, 27, and 18, we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will yield 428. Let's break down the process:\n\n1. **Identify possible combinations**: We have three numbers (58, 27, 18). The goal ...
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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, 92, 22], create an equation that equals 840. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
12*(92 - 22)
countdown_3arg
countdown
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[ "To solve the problem, we need to use the numbers [12, 92, 22] and the operations (+, -, *, /) to get the target number 840. We can start by trying different combinations of these numbers and operations.\n\nStep 1: Let's try to use 92 and 22 first. We can divide 92 by 22 to get a result close to 4. Then, we can mul...
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{"source_dataset": "countdown", "source_index": 6020, "numbers": [12, 92, 22], "target": 840, "expression": "12*(92 - 22)"}
[ "Step 1: 92 / 22 = 4.136363636363636\nStep 2: 4.136363636363636 * 12 = 500.8363636363636\nStep 3: 500.8363636363636 + 339.1636363636364 = 840", "Step 1: 92 - 22 = 70\nStep 2: 70 + 12 = 82\nStep 3: 82 * 10 = 820\nStep 4: 840 - 820 = 20", "Step 1: 12 * 92 = 1104\nStep 2: 1104 * 22 = 24288\nStep 3: 24288 + 12 = 84...
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[ "<think>\n<sample>\nTo solve for 840 using the numbers 12, 92, and 22, we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 840. Let's start with some trial and error:\n\n1. First, let's try combining two of the numbers directly.\n - If we ...
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[ [ "(92 + 22) * 12 = 840", "\\( 92 - 22 \\times 12 \\)", "Impossible", "It is not possible to achieve 840 using the numbers 12, 92, and 22 with standard arithmetic operations." ], [ "Combining all steps logically leads to the realization that achieving exactly 840 through the specified operat...
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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 [53, 56, 34], create an equation that equals 143. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
34 + 56 + 53
countdown_3arg
countdown
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[ "To solve this problem, we need to use the numbers [53, 56, 34] and the operations (+, -, *, /) to get the target number 143. Let's break it down:\n\nStep 1: 56 - 53 = 3\nStep 2: 3 * 34 = 102\nStep 3: 102 + 34 = 136\nStep 4: 136 - 34 = 102\nStep 5: 102 - 34 = 68\nStep 6: 68 - 34 = 34\n\nTherefore, the final answer ...
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{"source_dataset": "countdown", "source_index": 6021, "numbers": [53, 56, 34], "target": 143, "expression": "34 + 56 + 53"}
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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 [53, 91, 19], create an equation that equals 916. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
53*19 - 91
countdown_3arg
countdown
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[ "To solve the problem, we need to use the numbers [53, 91, 19] and the operations (+, -, *, /) to get the target number 916. Let's break it down step by step:\n\nStep 1: Start with the number 53.\nStep 2: Multiply 53 by 19 to get 1007.\nStep 3: Subtract 91 from 1007 to get 916.\n\nSo, the equation is:\nStep 1: 53 *...
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{"source_dataset": "countdown", "source_index": 6022, "numbers": [53, 91, 19], "target": 916, "expression": "53*19 - 91"}
[ "Step 1: 53 * 19 = 1007\nStep 2: 1007 - 91 = 916", "Step 1: 91 / 19 = 5\nStep 2: 53 + 5 = 58\nStep 3: 58 * 19 = 916", "Step 1: 53 * 19 = 1007\nStep 2: 1007 - 91 = 916", "Step 1: 53 * 19 = 1007\nStep 2: 1007 + 91 = 1108", "Step 1: 91 * 19 = 1729\nStep 2: 1729 + 53 = 1782\nStep 3: 1782 - 53 = 1729", "Step 1...
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[ "<think>\n<sample>\nTo solve for 916 using the given numbers [53, 91, 19], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 916. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify Potential Combinations**: We star...
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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, 24, 73], create an equation that equals 438. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
24*73/4
countdown_3arg
countdown
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[ "To solve this problem, we need to use the numbers [4, 24, 73] and apply basic arithmetic operations (+, -, *, /) to get the target number 438. Let's break it down step by step:\n\nStep 1: Start with the number 24.\nStep 2: Add 73 to 24.\nStep 3: Subtract 4 from the result of Step 2.\n\nLet's perform these operatio...
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{"source_dataset": "countdown", "source_index": 6023, "numbers": [4, 24, 73], "target": 438, "expression": "24*73/4"}
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[ "<think>\n<sample>\nTo solve for 438 using the numbers [4, 24, 73], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will yield 438. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify possible combinations**: We have three 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 [85, 81, 5], create an equation that equals 171. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
5 + 81 + 85
countdown_3arg
countdown
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[ "To solve this problem, we need to use the numbers [85, 81, 5] and the operations (+, -, *, /) to reach the target number 171. Let's break it down:\n\n1. First, we can try to use the number 85 as a base and see if we can get closer to 171.\n2. We can try to subtract 81 from 85, but that would give us 4, which is no...
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{"source_dataset": "countdown", "source_index": 6024, "numbers": [85, 81, 5], "target": 171, "expression": "5 + 81 + 85"}
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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 [92, 96, 75], create an equation that equals 113. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
96 - 75 + 92
countdown_3arg
countdown
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[ "To solve this problem, we need to use the numbers [92, 96, 75] and apply basic arithmetic operations (+, -, *, /) to get the target number 113.\n\nStep 1: First, let's try adding 96 and 75.\nStep 2: Now, we need to add 92 to the result from Step 1.\nStep 3: The final result should be 113.\n\nSo, the equation is:\n...
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{"source_dataset": "countdown", "source_index": 6025, "numbers": [92, 96, 75], "target": 113, "expression": "96 - 75 + 92"}
[ "Step 1: 96 + 75 = 171\nStep 2: 171 + 92 = 263", "Step 1: 92 * (96 / 75) = 113.6", "Step 1: 92 + 96 = 188\nStep 2: 188 - 75 = 113", "Step 1: 92 + 11 = 103\nStep 2: 103 + 10 = 113", "", "Step 1: 96 * 75 = 7200\nStep 2: 7200 + 92 = 7292\nStep 3: 7292 - 92 = 7200\nStep 4: 7200 / 96 = 75", "Step 1: 75 + 38 ...
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[ "<think>\n<sample>\nTo solve for the target number using the given numbers [92, 96, 75], we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 113. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify Potential Combinati...
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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 [67, 8, 56], create an equation that equals 115. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target. Give your answer in the following format: <answer> (your answer) </answer> Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target. For example: If the list of numbers was [1, 2, 3] and the target was 1, you could write: <answer> Step 1: 1 + 2 = 3 Step 2: 3 / 3 = 1 </answer> or <answer> (1 + 2) / 3 </answer> Let's think step by step.
67 - 8 + 56
countdown_3arg
countdown
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[ "To solve this problem, we need to use the numbers [67, 8, 56] and the operations (+, -, *, /) to reach the target number 115. Let's break it down step by step:\n\n1. First, we need to combine 67 and 8 to get a number close to 115. We can do this by adding them together:\n Step 1: 67 + 8 = 75\n\n2. Now, we need t...
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{"source_dataset": "countdown", "source_index": 6026, "numbers": [67, 8, 56], "target": 115, "expression": "67 - 8 + 56"}
[ "Step 1: 67 + 8 = 75\nStep 2: 75 - 8 = 67\nStep 3: 67 + 48 = 115", "Step 1: 56 * 2 = 112\nStep 2: 112 + 3 = 115", "Step 1: 67 * 8 = 536\nStep 2: 536 - 56 = 480\nStep 3: 115 - 480 = -365", "Step 1: 67 / 8 = 8.375\nStep 2: 8.375 * 56 = 472.2\nStep 3: 472.2 - 317.2 = 115", "Step 1: 67 + 56 = 123\nStep 2: 123 -...
[ "Line uses unavailable numbers: Step 2: 75 - 8 = 67", "Line uses unavailable numbers: Step 1: 56 * 2 = 112", "Line uses unavailable numbers: Step 3: 115 - 480 = -365", "Incorrect arithmetic in line: Step 2: 8.375 * 56 = 472.2", null, "Line uses unavailable numbers: Step 2: 59 - 8 = 51", "Incorrect final...
[ "<think>\n<sample>\nTo solve for 115 using the numbers 67, 8, and 56, we need to find a combination of these numbers through addition, subtraction, multiplication, and division that will result in 115. Let's break down the process:\n\n### Step-by-Step Solution\n\n1. **Identify possible combinations**: We start by t...
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