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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, 78, 27], create an equation that equals 135. 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. | 78 - 27 + 84 | countdown_3arg | countdown | [
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"Step 1: 84 + 78 = 162\nStep 2: 162 * 27 = 4394\nStep 3: 4394 / 32 = 137.25",
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"Line uses unavailable numbers: Step 2: 57 * 2 = 114",
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"content": "Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [84, 78, 27], create an equation that equals 135. 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.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nTo solve this question, write a high level plan you intend to use starting with \"First, I'll try to understand the problem better by writing out a plan and go really deep into detail about how I should solve this.\", then execute that plan (whatever reasoning is required), then give your resulting equation or number as the answer in the \"<answer>\n(your answer)\n</answer>\" tag.\n\nHint: the answer is 78 - 27 + 84. Pretend you did not see this and instead reason to this answer.",
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