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[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 1942 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004476", "normalized_example_id": "ex_004476", "source_idx": 4476, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3237, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 2590 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004476", "normalized_example_id": "ex_004476", "source_idx": 4476, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3237, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 3237 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004476", "normalized_example_id": "ex_004476", "source_idx": 4476, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3237, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6+\\frac{2\\sqrt{17}}{3}+\\frac{16\\sqrt{2}}{3}\\mathrm{~}", "budget": 5511 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004477", "normalized_example_id": "ex_004477", "source_idx": 4477, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9185, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6+\\frac{2\\sqrt{17}}{3}+\\frac{16\\sqrt{2}}{3}\\mathrm{~}", "budget": 7348 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004477", "normalized_example_id": "ex_004477", "source_idx": 4477, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9185, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6+\\frac{2\\sqrt{17}}{3}+\\frac{16\\sqrt{2}}{3}\\mathrm{~}", "budget": 9185 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004477", "normalized_example_id": "ex_004477", "source_idx": 4477, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9185, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-1,1", "budget": 2886 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004479", "normalized_example_id": "ex_004479", "source_idx": 4479, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4810, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-1,1", "budget": 3848 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004479", "normalized_example_id": "ex_004479", "source_idx": 4479, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4810, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-1,1", "budget": 4810 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004479", "normalized_example_id": "ex_004479", "source_idx": 4479, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4810, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 3494 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004481", "normalized_example_id": "ex_004481", "source_idx": 4481, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5824, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 4659 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004481", "normalized_example_id": "ex_004481", "source_idx": 4481, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5824, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4", "budget": 5824 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004481", "normalized_example_id": "ex_004481", "source_idx": 4481, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5824, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2,3,5,7,13", "budget": 6067 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004482", "normalized_example_id": "ex_004482", "source_idx": 4482, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10111, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2,3,5,7,13", "budget": 8089 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004482", "normalized_example_id": "ex_004482", "source_idx": 4482, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10111, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2,3,5,7,13", "budget": 10111 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004482", "normalized_example_id": "ex_004482", "source_idx": 4482, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10111, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{x^{3}}{3}+x+4\\cdot\\ln|x+3|+2\\cdot\\ln|x-1|-3\\cdot\\ln|x|+C", "budget": 1455 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004484", "normalized_example_id": "ex_004484", "source_idx": 4484, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2425, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{x^{3}}{3}+x+4\\cdot\\ln|x+3|+2\\cdot\\ln|x-1|-3\\cdot\\ln|x|+C", "budget": 1940 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004484", "normalized_example_id": "ex_004484", "source_idx": 4484, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2425, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{x^{3}}{3}+x+4\\cdot\\ln|x+3|+2\\cdot\\ln|x-1|-3\\cdot\\ln|x|+C", "budget": 2425 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004484", "normalized_example_id": "ex_004484", "source_idx": 4484, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2425, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "17", "budget": 1750 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004487", "normalized_example_id": "ex_004487", "source_idx": 4487, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2917, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "17", "budget": 2334 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004487", "normalized_example_id": "ex_004487", "source_idx": 4487, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2917, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "17", "budget": 2917 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004487", "normalized_example_id": "ex_004487", "source_idx": 4487, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2917, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "125", "budget": 1877 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004489", "normalized_example_id": "ex_004489", "source_idx": 4489, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3129, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "125", "budget": 2503 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004489", "normalized_example_id": "ex_004489", "source_idx": 4489, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3129, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "125", "budget": 3129 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004489", "normalized_example_id": "ex_004489", "source_idx": 4489, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3129, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "23", "budget": 3230 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004490", "normalized_example_id": "ex_004490", "source_idx": 4490, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5383, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "23", "budget": 4306 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004490", "normalized_example_id": "ex_004490", "source_idx": 4490, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5383, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "23", "budget": 5383 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004490", "normalized_example_id": "ex_004490", "source_idx": 4490, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5383, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x) = 0", "budget": 1337 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004491", "normalized_example_id": "ex_004491", "source_idx": 4491, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2228, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x) = 0", "budget": 1782 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004491", "normalized_example_id": "ex_004491", "source_idx": 4491, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2228, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x) = 0", "budget": 2228 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004491", "normalized_example_id": "ex_004491", "source_idx": 4491, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2228, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2n-3", "budget": 4346 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004492", "normalized_example_id": "ex_004492", "source_idx": 4492, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7243, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2n-3", "budget": 5794 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004492", "normalized_example_id": "ex_004492", "source_idx": 4492, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7243, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2n-3", "budget": 7243 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004492", "normalized_example_id": "ex_004492", "source_idx": 4492, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7243, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "35", "budget": 4228 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004493", "normalized_example_id": "ex_004493", "source_idx": 4493, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7047, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "35", "budget": 5638 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004493", "normalized_example_id": "ex_004493", "source_idx": 4493, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7047, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "35", "budget": 7047 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004493", "normalized_example_id": "ex_004493", "source_idx": 4493, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7047, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 2577 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004494", "normalized_example_id": "ex_004494", "source_idx": 4494, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4295, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 3436 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004494", "normalized_example_id": "ex_004494", "source_idx": 4494, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4295, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 4295 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004494", "normalized_example_id": "ex_004494", "source_idx": 4494, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4295, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 2684 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004495", "normalized_example_id": "ex_004495", "source_idx": 4495, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4474, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 3579 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004495", "normalized_example_id": "ex_004495", "source_idx": 4495, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4474, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 4474 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004495", "normalized_example_id": "ex_004495", "source_idx": 4495, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4474, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 1614 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004496", "normalized_example_id": "ex_004496", "source_idx": 4496, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2690, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 2152 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004496", "normalized_example_id": "ex_004496", "source_idx": 4496, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2690, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 2690 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004496", "normalized_example_id": "ex_004496", "source_idx": 4496, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2690, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "265", "budget": 1327 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004497", "normalized_example_id": "ex_004497", "source_idx": 4497, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2212, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "265", "budget": 1770 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004497", "normalized_example_id": "ex_004497", "source_idx": 4497, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2212, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "265", "budget": 2212 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004497", "normalized_example_id": "ex_004497", "source_idx": 4497, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2212, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12504", "budget": 2742 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004498", "normalized_example_id": "ex_004498", "source_idx": 4498, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4570, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12504", "budget": 3656 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004498", "normalized_example_id": "ex_004498", "source_idx": 4498, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4570, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12504", "budget": 4570 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004498", "normalized_example_id": "ex_004498", "source_idx": 4498, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4570, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 4852 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004502", "normalized_example_id": "ex_004502", "source_idx": 4502, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8087, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 6470 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004502", "normalized_example_id": "ex_004502", "source_idx": 4502, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8087, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 8087 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004502", "normalized_example_id": "ex_004502", "source_idx": 4502, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8087, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 4238 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004505", "normalized_example_id": "ex_004505", "source_idx": 4505, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7064, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 5651 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004505", "normalized_example_id": "ex_004505", "source_idx": 4505, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7064, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 7064 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004505", "normalized_example_id": "ex_004505", "source_idx": 4505, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7064, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 3094 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004512", "normalized_example_id": "ex_004512", "source_idx": 4512, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5157, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 4126 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004512", "normalized_example_id": "ex_004512", "source_idx": 4512, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5157, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3", "budget": 5157 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004512", "normalized_example_id": "ex_004512", "source_idx": 4512, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5157, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n^2 + n + 1", "budget": 1646 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004514", "normalized_example_id": "ex_004514", "source_idx": 4514, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2744, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n^2 + n + 1", "budget": 2195 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004514", "normalized_example_id": "ex_004514", "source_idx": 4514, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2744, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n^2 + n + 1", "budget": 2744 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004514", "normalized_example_id": "ex_004514", "source_idx": 4514, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2744, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "42", "budget": 3330 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004515", "normalized_example_id": "ex_004515", "source_idx": 4515, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5550, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "42", "budget": 4440 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004515", "normalized_example_id": "ex_004515", "source_idx": 4515, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5550, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "42", "budget": 5550 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004515", "normalized_example_id": "ex_004515", "source_idx": 4515, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5550, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19,29,39,49,59,69,79,89,99", "budget": 4007 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004518", "normalized_example_id": "ex_004518", "source_idx": 4518, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6678, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19,29,39,49,59,69,79,89,99", "budget": 5342 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004518", "normalized_example_id": "ex_004518", "source_idx": 4518, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6678, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19,29,39,49,59,69,79,89,99", "budget": 6678 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004518", "normalized_example_id": "ex_004518", "source_idx": 4518, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6678, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19", "budget": 3954 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004519", "normalized_example_id": "ex_004519", "source_idx": 4519, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6590, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19", "budget": 5272 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004519", "normalized_example_id": "ex_004519", "source_idx": 4519, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6590, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19", "budget": 6590 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004519", "normalized_example_id": "ex_004519", "source_idx": 4519, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6590, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "29", "budget": 923 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004520", "normalized_example_id": "ex_004520", "source_idx": 4520, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1539, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "29", "budget": 1231 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004520", "normalized_example_id": "ex_004520", "source_idx": 4520, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1539, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "29", "budget": 1539 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004520", "normalized_example_id": "ex_004520", "source_idx": 4520, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1539, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{1}{x^{2}}", "budget": 2195 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004521", "normalized_example_id": "ex_004521", "source_idx": 4521, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3659, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{1}{x^{2}}", "budget": 2927 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004521", "normalized_example_id": "ex_004521", "source_idx": 4521, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3659, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-\\frac{1}{x^{2}}", "budget": 3659 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004521", "normalized_example_id": "ex_004521", "source_idx": 4521, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3659, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "192", "budget": 4196 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004522", "normalized_example_id": "ex_004522", "source_idx": 4522, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6994, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "192", "budget": 5595 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004522", "normalized_example_id": "ex_004522", "source_idx": 4522, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6994, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "192", "budget": 6994 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004522", "normalized_example_id": "ex_004522", "source_idx": 4522, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6994, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x=-4x=1", "budget": 1563 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004523", "normalized_example_id": "ex_004523", "source_idx": 4523, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2605, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x=-4x=1", "budget": 2084 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004523", "normalized_example_id": "ex_004523", "source_idx": 4523, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2605, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x=-4x=1", "budget": 2605 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004523", "normalized_example_id": "ex_004523", "source_idx": 4523, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2605, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 3901 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004526", "normalized_example_id": "ex_004526", "source_idx": 4526, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6501, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 5201 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004526", "normalized_example_id": "ex_004526", "source_idx": 4526, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6501, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 6501 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004526", "normalized_example_id": "ex_004526", "source_idx": 4526, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6501, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\overline{AC}=32\\mathrm{~},\\overline{BC}=24\\mathrm{~}", "budget": 1923 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004528", "normalized_example_id": "ex_004528", "source_idx": 4528, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3205, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\overline{AC}=32\\mathrm{~},\\overline{BC}=24\\mathrm{~}", "budget": 2564 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004528", "normalized_example_id": "ex_004528", "source_idx": 4528, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3205, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\overline{AC}=32\\mathrm{~},\\overline{BC}=24\\mathrm{~}", "budget": 3205 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004528", "normalized_example_id": "ex_004528", "source_idx": 4528, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3205, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1997", "budget": 4235 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004529", "normalized_example_id": "ex_004529", "source_idx": 4529, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7059, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1997", "budget": 5647 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004529", "normalized_example_id": "ex_004529", "source_idx": 4529, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7059, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1997", "budget": 7059 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004529", "normalized_example_id": "ex_004529", "source_idx": 4529, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7059, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{24}(n-1) n(n+1)(3 n+2)", "budget": 3040 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004531", "normalized_example_id": "ex_004531", "source_idx": 4531, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5067, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{24}(n-1) n(n+1)(3 n+2)", "budget": 4054 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004531", "normalized_example_id": "ex_004531", "source_idx": 4531, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5067, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{24}(n-1) n(n+1)(3 n+2)", "budget": 5067 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004531", "normalized_example_id": "ex_004531", "source_idx": 4531, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5067, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 1364 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004533", "normalized_example_id": "ex_004533", "source_idx": 4533, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2273, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 1818 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004533", "normalized_example_id": "ex_004533", "source_idx": 4533, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2273, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 2273 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004533", "normalized_example_id": "ex_004533", "source_idx": 4533, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2273, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "120", "budget": 5124 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004536", "normalized_example_id": "ex_004536", "source_idx": 4536, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8540, ...