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"level": "Level 5",
"type": "Algebra",
"data_source": "DigitalLearningGmbH/MATH-lighteval",
"prompt": [
{
"role": "user",
"content": "Let \\[f(x) = \\left\\{\n\\begin{array}{cl} ax+3, &\\text{ if }x>2, \\\\\nx-5 &\\text{ if } -2 \\le x \\le 2, \\\\\n2x-b &\\text{ if } x <-2.\n\\end{array}\n\\right.\\]Find $a+b$ if the piecewise function is continuous (which means that its graph can be drawn without lifting your pencil from the paper). Let's think step by step and output the final answer within \\boxed{}.\nA part of your reasoning process will be transferred to another model. Therefore, your reasoning MUST be written clearly and systematically so that it can be easily understood by another model."
}
],
"ability": "math",
"reward_model": {
"style": "rule",
"ground_truth": "0"
},
"extra_info": {
"split": "train",
"index": 0,
"question": "Let \\[f(x) = \\left\\{\n\\begin{array}{cl} ax+3, &\\text{ if }x>2, \\\\\nx-5 &\\text{ if } -2 \\le x \\le 2, \\\\\n2x-b &\\text{ if } x <-2.\n\\end{array}\n\\right.\\]Find $a+b$ if the piecewise function is continuous (which means that its graph can be drawn without lifting your pencil from the paper). Let's think step by step and output the final answer within \\boxed{}.\nA part of your reasoning process will be transferred to another model. Therefore, your reasoning MUST be written clearly and systematically so that it can be easily understood by another model.",
"transfer_instruction": "A part of your reasoning process will be transferred to another model. Therefore, your reasoning MUST be written clearly and systematically so that it can be easily understood by another model."
}
} |