prompt listlengths 2 2 | label dict | metadata dict |
|---|---|---|
[
{
"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": "998910",
"budget": 4290
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003132",
"normalized_example_id": "ex_003132",
"source_idx": 3132,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5363,
... |
[
{
"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": "998910",
"budget": 5363
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003132",
"normalized_example_id": "ex_003132",
"source_idx": 3132,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5363,
... |
[
{
"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",
"budget": 2270
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003133",
"normalized_example_id": "ex_003133",
"source_idx": 3133,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3784,
... |
[
{
"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",
"budget": 3027
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003133",
"normalized_example_id": "ex_003133",
"source_idx": 3133,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3784,
... |
[
{
"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",
"budget": 3784
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003133",
"normalized_example_id": "ex_003133",
"source_idx": 3133,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3784,
... |
[
{
"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": 2365
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003135",
"normalized_example_id": "ex_003135",
"source_idx": 3135,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3942,
... |
[
{
"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": 3154
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003135",
"normalized_example_id": "ex_003135",
"source_idx": 3135,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3942,
... |
[
{
"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": 3942
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003135",
"normalized_example_id": "ex_003135",
"source_idx": 3135,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3942,
... |
[
{
"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": 2068
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003137",
"normalized_example_id": "ex_003137",
"source_idx": 3137,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3446,
... |
[
{
"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": 2757
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003137",
"normalized_example_id": "ex_003137",
"source_idx": 3137,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3446,
... |
[
{
"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": 3446
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003137",
"normalized_example_id": "ex_003137",
"source_idx": 3137,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3446,
... |
[
{
"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": "67",
"budget": 5430
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003138",
"normalized_example_id": "ex_003138",
"source_idx": 3138,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9050,
... |
[
{
"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": "67",
"budget": 7240
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003138",
"normalized_example_id": "ex_003138",
"source_idx": 3138,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9050,
... |
[
{
"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": "67",
"budget": 9050
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003138",
"normalized_example_id": "ex_003138",
"source_idx": 3138,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9050,
... |
[
{
"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": "8(2x+3)^{3}\\cdot\\arcsin\\frac{1}{2x+3}",
"budget": 3264
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003140",
"normalized_example_id": "ex_003140",
"source_idx": 3140,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5440,
... |
[
{
"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": "8(2x+3)^{3}\\cdot\\arcsin\\frac{1}{2x+3}",
"budget": 4352
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003140",
"normalized_example_id": "ex_003140",
"source_idx": 3140,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5440,
... |
[
{
"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": "8(2x+3)^{3}\\cdot\\arcsin\\frac{1}{2x+3}",
"budget": 5440
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003140",
"normalized_example_id": "ex_003140",
"source_idx": 3140,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5440,
... |
[
{
"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, 229)",
"budget": 2103
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003141",
"normalized_example_id": "ex_003141",
"source_idx": 3141,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3505,
... |
[
{
"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, 229)",
"budget": 2804
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003141",
"normalized_example_id": "ex_003141",
"source_idx": 3141,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3505,
... |
[
{
"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, 229)",
"budget": 3505
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003141",
"normalized_example_id": "ex_003141",
"source_idx": 3141,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3505,
... |
[
{
"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": "a \\in \\{-n^2 \\mid n \\in \\mathbb{Z}\\}",
"budget": 3464
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003142",
"normalized_example_id": "ex_003142",
"source_idx": 3142,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5774,
... |
[
{
"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": "a \\in \\{-n^2 \\mid n \\in \\mathbb{Z}\\}",
"budget": 4619
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003142",
"normalized_example_id": "ex_003142",
"source_idx": 3142,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5774,
... |
[
{
"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": "a \\in \\{-n^2 \\mid n \\in \\mathbb{Z}\\}",
"budget": 5774
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003142",
"normalized_example_id": "ex_003142",
"source_idx": 3142,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5774,
... |
[
{
"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": "700000000",
"budget": 2357
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003143",
"normalized_example_id": "ex_003143",
"source_idx": 3143,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3928,
... |
[
{
"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": "700000000",
"budget": 3142
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003143",
"normalized_example_id": "ex_003143",
"source_idx": 3143,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3928,
... |
[
{
"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": "700000000",
"budget": 3928
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003143",
"normalized_example_id": "ex_003143",
"source_idx": 3143,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3928,
... |
[
{
"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^{1990} - 1",
"budget": 4952
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003144",
"normalized_example_id": "ex_003144",
"source_idx": 3144,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8253,
... |
[
{
"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^{1990} - 1",
"budget": 6602
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003144",
"normalized_example_id": "ex_003144",
"source_idx": 3144,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8253,
... |
[
{
"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^{1990} - 1",
"budget": 8253
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003144",
"normalized_example_id": "ex_003144",
"source_idx": 3144,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8253,
... |
[
{
"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": "875",
"budget": 3146
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003146",
"normalized_example_id": "ex_003146",
"source_idx": 3146,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5243,
... |
[
{
"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": "875",
"budget": 4194
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003146",
"normalized_example_id": "ex_003146",
"source_idx": 3146,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5243,
... |
[
{
"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": "875",
"budget": 5243
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003146",
"normalized_example_id": "ex_003146",
"source_idx": 3146,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5243,
... |
[
{
"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 \\leqslant x+y \\leqslant 2^{\\frac{2}{3}}",
"budget": 2900
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003147",
"normalized_example_id": "ex_003147",
"source_idx": 3147,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4833,
... |
[
{
"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 \\leqslant x+y \\leqslant 2^{\\frac{2}{3}}",
"budget": 3866
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003147",
"normalized_example_id": "ex_003147",
"source_idx": 3147,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4833,
... |
[
{
"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 \\leqslant x+y \\leqslant 2^{\\frac{2}{3}}",
"budget": 4833
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003147",
"normalized_example_id": "ex_003147",
"source_idx": 3147,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4833,
... |
[
{
"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",
"budget": 5490
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003150",
"normalized_example_id": "ex_003150",
"source_idx": 3150,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9150,
... |
[
{
"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",
"budget": 7320
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003150",
"normalized_example_id": "ex_003150",
"source_idx": 3150,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9150,
... |
[
{
"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",
"budget": 9150
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003150",
"normalized_example_id": "ex_003150",
"source_idx": 3150,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9150,
... |
[
{
"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": "\\sqrt{2}-1",
"budget": 2237
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003151",
"normalized_example_id": "ex_003151",
"source_idx": 3151,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3728,
... |
[
{
"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": "\\sqrt{2}-1",
"budget": 2982
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003151",
"normalized_example_id": "ex_003151",
"source_idx": 3151,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3728,
... |
[
{
"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": "\\sqrt{2}-1",
"budget": 3728
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003151",
"normalized_example_id": "ex_003151",
"source_idx": 3151,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3728,
... |
[
{
"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": "\\alpha,90,90",
"budget": 2726
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003153",
"normalized_example_id": "ex_003153",
"source_idx": 3153,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4544,
... |
[
{
"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": "\\alpha,90,90",
"budget": 3635
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003153",
"normalized_example_id": "ex_003153",
"source_idx": 3153,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4544,
... |
[
{
"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": "\\alpha,90,90",
"budget": 4544
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003153",
"normalized_example_id": "ex_003153",
"source_idx": 3153,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4544,
... |
[
{
"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": 1133
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003155",
"normalized_example_id": "ex_003155",
"source_idx": 3155,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1888,
... |
[
{
"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": 1510
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003155",
"normalized_example_id": "ex_003155",
"source_idx": 3155,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1888,
... |
[
{
"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": 1888
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003155",
"normalized_example_id": "ex_003155",
"source_idx": 3155,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1888,
... |
[
{
"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": "a_{1}=5,a_{2}=1,a_{3}=2",
"budget": 4243
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003159",
"normalized_example_id": "ex_003159",
"source_idx": 3159,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7071,
... |
[
{
"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": "a_{1}=5,a_{2}=1,a_{3}=2",
"budget": 5657
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003159",
"normalized_example_id": "ex_003159",
"source_idx": 3159,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7071,
... |
[
{
"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": "a_{1}=5,a_{2}=1,a_{3}=2",
"budget": 7071
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003159",
"normalized_example_id": "ex_003159",
"source_idx": 3159,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7071,
... |
[
{
"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": "(56,59),(57,58),(58,57),(59,56),(60,64),(61,63),(62,62),(63,61),(64,60)",
"budget": 4837
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003160",
"normalized_example_id": "ex_003160",
"source_idx": 3160,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8062,
... |
[
{
"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": "(56,59),(57,58),(58,57),(59,56),(60,64),(61,63),(62,62),(63,61),(64,60)",
"budget": 6450
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003160",
"normalized_example_id": "ex_003160",
"source_idx": 3160,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8062,
... |
[
{
"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": "(56,59),(57,58),(58,57),(59,56),(60,64),(61,63),(62,62),(63,61),(64,60)",
"budget": 8062
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003160",
"normalized_example_id": "ex_003160",
"source_idx": 3160,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8062,
... |
[
{
"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": "30",
"budget": 3994
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003161",
"normalized_example_id": "ex_003161",
"source_idx": 3161,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6656,
... |
[
{
"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": "30",
"budget": 5325
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003161",
"normalized_example_id": "ex_003161",
"source_idx": 3161,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6656,
... |
[
{
"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": "30",
"budget": 6656
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003161",
"normalized_example_id": "ex_003161",
"source_idx": 3161,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6656,
... |
[
{
"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": "78",
"budget": 3875
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003162",
"normalized_example_id": "ex_003162",
"source_idx": 3162,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6458,
... |
[
{
"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": "78",
"budget": 5166
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003162",
"normalized_example_id": "ex_003162",
"source_idx": 3162,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6458,
... |
[
{
"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": "78",
"budget": 6458
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003162",
"normalized_example_id": "ex_003162",
"source_idx": 3162,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6458,
... |
[
{
"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": "0.1601",
"budget": 2639
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003165",
"normalized_example_id": "ex_003165",
"source_idx": 3165,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4398,
... |
[
{
"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": "0.1601",
"budget": 3518
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003165",
"normalized_example_id": "ex_003165",
"source_idx": 3165,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4398,
... |
[
{
"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": "0.1601",
"budget": 4398
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003165",
"normalized_example_id": "ex_003165",
"source_idx": 3165,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4398,
... |
[
{
"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": 938
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003167",
"normalized_example_id": "ex_003167",
"source_idx": 3167,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1564,
... |
[
{
"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": 1251
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003167",
"normalized_example_id": "ex_003167",
"source_idx": 3167,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1564,
... |
[
{
"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": 1564
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003167",
"normalized_example_id": "ex_003167",
"source_idx": 3167,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1564,
... |
[
{
"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{25}{49}",
"budget": 3225
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003168",
"normalized_example_id": "ex_003168",
"source_idx": 3168,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5375,
... |
[
{
"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{25}{49}",
"budget": 4300
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003168",
"normalized_example_id": "ex_003168",
"source_idx": 3168,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5375,
... |
[
{
"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{25}{49}",
"budget": 5375
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003168",
"normalized_example_id": "ex_003168",
"source_idx": 3168,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5375,
... |
[
{
"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": "100",
"budget": 4090
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003170",
"normalized_example_id": "ex_003170",
"source_idx": 3170,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6816,
... |
[
{
"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": "100",
"budget": 5453
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003170",
"normalized_example_id": "ex_003170",
"source_idx": 3170,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6816,
... |
[
{
"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": "100",
"budget": 6816
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003170",
"normalized_example_id": "ex_003170",
"source_idx": 3170,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6816,
... |
[
{
"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": 4444
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003171",
"normalized_example_id": "ex_003171",
"source_idx": 3171,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7406,
... |
[
{
"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": 5925
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003171",
"normalized_example_id": "ex_003171",
"source_idx": 3171,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7406,
... |
[
{
"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": 7406
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003171",
"normalized_example_id": "ex_003171",
"source_idx": 3171,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7406,
... |
[
{
"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": "1,2,3,5",
"budget": 3977
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003172",
"normalized_example_id": "ex_003172",
"source_idx": 3172,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6628,
... |
[
{
"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": "1,2,3,5",
"budget": 5302
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003172",
"normalized_example_id": "ex_003172",
"source_idx": 3172,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6628,
... |
[
{
"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": "1,2,3,5",
"budget": 6628
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003172",
"normalized_example_id": "ex_003172",
"source_idx": 3172,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6628,
... |
[
{
"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{3 \\sqrt{2}}{2}",
"budget": 4729
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003173",
"normalized_example_id": "ex_003173",
"source_idx": 3173,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7882,
... |
[
{
"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{3 \\sqrt{2}}{2}",
"budget": 6306
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003173",
"normalized_example_id": "ex_003173",
"source_idx": 3173,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7882,
... |
[
{
"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{3 \\sqrt{2}}{2}",
"budget": 7882
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003173",
"normalized_example_id": "ex_003173",
"source_idx": 3173,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7882,
... |
[
{
"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,y)\\in{(-6,-11),(-1,-26),(0,19),(5,4)}",
"budget": 1570
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003176",
"normalized_example_id": "ex_003176",
"source_idx": 3176,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2617,
... |
[
{
"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,y)\\in{(-6,-11),(-1,-26),(0,19),(5,4)}",
"budget": 2094
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003176",
"normalized_example_id": "ex_003176",
"source_idx": 3176,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2617,
... |
[
{
"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,y)\\in{(-6,-11),(-1,-26),(0,19),(5,4)}",
"budget": 2617
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003176",
"normalized_example_id": "ex_003176",
"source_idx": 3176,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2617,
... |
[
{
"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}{2}",
"budget": 1190
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003177",
"normalized_example_id": "ex_003177",
"source_idx": 3177,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1984,
... |
[
{
"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}{2}",
"budget": 1587
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003177",
"normalized_example_id": "ex_003177",
"source_idx": 3177,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1984,
... |
[
{
"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}{2}",
"budget": 1984
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003177",
"normalized_example_id": "ex_003177",
"source_idx": 3177,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1984,
... |
[
{
"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+1)!-1",
"budget": 626
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003178",
"normalized_example_id": "ex_003178",
"source_idx": 3178,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1044,
... |
[
{
"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+1)!-1",
"budget": 835
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003178",
"normalized_example_id": "ex_003178",
"source_idx": 3178,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1044,
... |
[
{
"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+1)!-1",
"budget": 1044
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003178",
"normalized_example_id": "ex_003178",
"source_idx": 3178,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1044,
... |
[
{
"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": 4592
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003181",
"normalized_example_id": "ex_003181",
"source_idx": 3181,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7653,
... |
[
{
"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": 6122
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003181",
"normalized_example_id": "ex_003181",
"source_idx": 3181,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7653,
... |
[
{
"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": 7653
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003181",
"normalized_example_id": "ex_003181",
"source_idx": 3181,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7653,
... |
[
{
"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": "110",
"budget": 3929
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003182",
"normalized_example_id": "ex_003182",
"source_idx": 3182,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6549,
... |
[
{
"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": "110",
"budget": 5239
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003182",
"normalized_example_id": "ex_003182",
"source_idx": 3182,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6549,
... |
[
{
"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": "110",
"budget": 6549
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003182",
"normalized_example_id": "ex_003182",
"source_idx": 3182,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6549,
... |
[
{
"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": "75",
"budget": 679
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003184",
"normalized_example_id": "ex_003184",
"source_idx": 3184,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1132,
... |
[
{
"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": "75",
"budget": 906
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003184",
"normalized_example_id": "ex_003184",
"source_idx": 3184,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1132,
... |
[
{
"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": "75",
"budget": 1132
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003184",
"normalized_example_id": "ex_003184",
"source_idx": 3184,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1132,
... |
[
{
"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{R^{2}\\sqrt{2}}{4}",
"budget": 3798
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003185",
"normalized_example_id": "ex_003185",
"source_idx": 3185,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6330,
... |
[
{
"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{R^{2}\\sqrt{2}}{4}",
"budget": 5064
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003185",
"normalized_example_id": "ex_003185",
"source_idx": 3185,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6330,
... |
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