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": "\\frac{9}{8} \\sqrt[4]{3}",
"budget": 5670
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003311",
"normalized_example_id": "ex_003311",
"source_idx": 3311,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7088,
... |
[
{
"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{9}{8} \\sqrt[4]{3}",
"budget": 7088
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003311",
"normalized_example_id": "ex_003311",
"source_idx": 3311,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7088,
... |
[
{
"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\\in[0,1]\\cup{-1}",
"budget": 3941
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003316",
"normalized_example_id": "ex_003316",
"source_idx": 3316,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6568,
... |
[
{
"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\\in[0,1]\\cup{-1}",
"budget": 5254
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003316",
"normalized_example_id": "ex_003316",
"source_idx": 3316,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6568,
... |
[
{
"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\\in[0,1]\\cup{-1}",
"budget": 6568
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003316",
"normalized_example_id": "ex_003316",
"source_idx": 3316,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6568,
... |
[
{
"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": "\\ln|x|-\\frac{1}{2(x+2)^{2}}+C",
"budget": 1175
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003317",
"normalized_example_id": "ex_003317",
"source_idx": 3317,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1959,
... |
[
{
"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": "\\ln|x|-\\frac{1}{2(x+2)^{2}}+C",
"budget": 1567
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003317",
"normalized_example_id": "ex_003317",
"source_idx": 3317,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1959,
... |
[
{
"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": "\\ln|x|-\\frac{1}{2(x+2)^{2}}+C",
"budget": 1959
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003317",
"normalized_example_id": "ex_003317",
"source_idx": 3317,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1959,
... |
[
{
"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}}\\cup(0,+\\infty)",
"budget": 5177
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003318",
"normalized_example_id": "ex_003318",
"source_idx": 3318,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8629,
... |
[
{
"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}}\\cup(0,+\\infty)",
"budget": 6903
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003318",
"normalized_example_id": "ex_003318",
"source_idx": 3318,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8629,
... |
[
{
"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}}\\cup(0,+\\infty)",
"budget": 8629
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003318",
"normalized_example_id": "ex_003318",
"source_idx": 3318,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8629,
... |
[
{
"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": "-7;9",
"budget": 1243
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003325",
"normalized_example_id": "ex_003325",
"source_idx": 3325,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2071,
... |
[
{
"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": "-7;9",
"budget": 1657
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003325",
"normalized_example_id": "ex_003325",
"source_idx": 3325,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2071,
... |
[
{
"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": "-7;9",
"budget": 2071
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003325",
"normalized_example_id": "ex_003325",
"source_idx": 3325,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2071,
... |
[
{
"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": "106",
"budget": 3530
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003326",
"normalized_example_id": "ex_003326",
"source_idx": 3326,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5884,
... |
[
{
"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": "106",
"budget": 4707
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003326",
"normalized_example_id": "ex_003326",
"source_idx": 3326,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5884,
... |
[
{
"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": "106",
"budget": 5884
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003326",
"normalized_example_id": "ex_003326",
"source_idx": 3326,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5884,
... |
[
{
"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": "32",
"budget": 1834
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003328",
"normalized_example_id": "ex_003328",
"source_idx": 3328,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3056,
... |
[
{
"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": "32",
"budget": 2445
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003328",
"normalized_example_id": "ex_003328",
"source_idx": 3328,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3056,
... |
[
{
"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": "32",
"budget": 3056
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003328",
"normalized_example_id": "ex_003328",
"source_idx": 3328,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3056,
... |
[
{
"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": "106",
"budget": 4855
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003330",
"normalized_example_id": "ex_003330",
"source_idx": 3330,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8091,
... |
[
{
"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": "106",
"budget": 6473
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003330",
"normalized_example_id": "ex_003330",
"source_idx": 3330,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8091,
... |
[
{
"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": "106",
"budget": 8091
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003330",
"normalized_example_id": "ex_003330",
"source_idx": 3330,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8091,
... |
[
{
"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": "40",
"budget": 4641
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003331",
"normalized_example_id": "ex_003331",
"source_idx": 3331,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7735,
... |
[
{
"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": "40",
"budget": 6188
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003331",
"normalized_example_id": "ex_003331",
"source_idx": 3331,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7735,
... |
[
{
"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": "40",
"budget": 7735
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003331",
"normalized_example_id": "ex_003331",
"source_idx": 3331,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7735,
... |
[
{
"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+\\sqrt{3}}{2}",
"budget": 1841
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003334",
"normalized_example_id": "ex_003334",
"source_idx": 3334,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3068,
... |
[
{
"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+\\sqrt{3}}{2}",
"budget": 2454
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003334",
"normalized_example_id": "ex_003334",
"source_idx": 3334,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3068,
... |
[
{
"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+\\sqrt{3}}{2}",
"budget": 3068
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003334",
"normalized_example_id": "ex_003334",
"source_idx": 3334,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3068,
... |
[
{
"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": "990",
"budget": 3069
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003337",
"normalized_example_id": "ex_003337",
"source_idx": 3337,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5115,
... |
[
{
"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": "990",
"budget": 4092
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003337",
"normalized_example_id": "ex_003337",
"source_idx": 3337,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5115,
... |
[
{
"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": "990",
"budget": 5115
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003337",
"normalized_example_id": "ex_003337",
"source_idx": 3337,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5115,
... |
[
{
"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": "280",
"budget": 1891
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003338",
"normalized_example_id": "ex_003338",
"source_idx": 3338,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3151,
... |
[
{
"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": "280",
"budget": 2521
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003338",
"normalized_example_id": "ex_003338",
"source_idx": 3338,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3151,
... |
[
{
"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": "280",
"budget": 3151
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003338",
"normalized_example_id": "ex_003338",
"source_idx": 3338,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3151,
... |
[
{
"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{a \\sin x}{a - \\sin a}",
"budget": 3176
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003339",
"normalized_example_id": "ex_003339",
"source_idx": 3339,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5294,
... |
[
{
"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{a \\sin x}{a - \\sin a}",
"budget": 4235
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003339",
"normalized_example_id": "ex_003339",
"source_idx": 3339,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5294,
... |
[
{
"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{a \\sin x}{a - \\sin a}",
"budget": 5294
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003339",
"normalized_example_id": "ex_003339",
"source_idx": 3339,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5294,
... |
[
{
"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]",
"budget": 5413
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003341",
"normalized_example_id": "ex_003341",
"source_idx": 3341,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9021,
... |
[
{
"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]",
"budget": 7217
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003341",
"normalized_example_id": "ex_003341",
"source_idx": 3341,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9021,
... |
[
{
"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]",
"budget": 9021
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003341",
"normalized_example_id": "ex_003341",
"source_idx": 3341,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9021,
... |
[
{
"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{49}{\\sqrt{3}}",
"budget": 3958
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003342",
"normalized_example_id": "ex_003342",
"source_idx": 3342,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6597,
... |
[
{
"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{49}{\\sqrt{3}}",
"budget": 5278
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003342",
"normalized_example_id": "ex_003342",
"source_idx": 3342,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6597,
... |
[
{
"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{49}{\\sqrt{3}}",
"budget": 6597
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003342",
"normalized_example_id": "ex_003342",
"source_idx": 3342,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6597,
... |
[
{
"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": "-15",
"budget": 3716
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003343",
"normalized_example_id": "ex_003343",
"source_idx": 3343,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6193,
... |
[
{
"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": "-15",
"budget": 4954
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003343",
"normalized_example_id": "ex_003343",
"source_idx": 3343,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6193,
... |
[
{
"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": "-15",
"budget": 6193
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003343",
"normalized_example_id": "ex_003343",
"source_idx": 3343,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6193,
... |
[
{
"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": "60^{\\circ}",
"budget": 3364
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003345",
"normalized_example_id": "ex_003345",
"source_idx": 3345,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5606,
... |
[
{
"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": "60^{\\circ}",
"budget": 4485
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003345",
"normalized_example_id": "ex_003345",
"source_idx": 3345,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5606,
... |
[
{
"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": "60^{\\circ}",
"budget": 5606
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003345",
"normalized_example_id": "ex_003345",
"source_idx": 3345,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5606,
... |
[
{
"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": "44\\pi\\sqrt{2-\\sqrt{3}}",
"budget": 3256
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003348",
"normalized_example_id": "ex_003348",
"source_idx": 3348,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5426,
... |
[
{
"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": "44\\pi\\sqrt{2-\\sqrt{3}}",
"budget": 4341
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003348",
"normalized_example_id": "ex_003348",
"source_idx": 3348,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5426,
... |
[
{
"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": "44\\pi\\sqrt{2-\\sqrt{3}}",
"budget": 5426
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003348",
"normalized_example_id": "ex_003348",
"source_idx": 3348,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5426,
... |
[
{
"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": "C",
"budget": 5776
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003349",
"normalized_example_id": "ex_003349",
"source_idx": 3349,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9627,
... |
[
{
"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": "C",
"budget": 7702
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003349",
"normalized_example_id": "ex_003349",
"source_idx": 3349,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9627,
... |
[
{
"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": "C",
"budget": 9627
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003349",
"normalized_example_id": "ex_003349",
"source_idx": 3349,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9627,
... |
[
{
"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": "118",
"budget": 1322
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003351",
"normalized_example_id": "ex_003351",
"source_idx": 3351,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2203,
... |
[
{
"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": "118",
"budget": 1762
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003351",
"normalized_example_id": "ex_003351",
"source_idx": 3351,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2203,
... |
[
{
"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": "118",
"budget": 2203
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003351",
"normalized_example_id": "ex_003351",
"source_idx": 3351,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2203,
... |
[
{
"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{3}}{2}",
"budget": 4378
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003352",
"normalized_example_id": "ex_003352",
"source_idx": 3352,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7297,
... |
[
{
"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{3}}{2}",
"budget": 5838
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003352",
"normalized_example_id": "ex_003352",
"source_idx": 3352,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7297,
... |
[
{
"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{3}}{2}",
"budget": 7297
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003352",
"normalized_example_id": "ex_003352",
"source_idx": 3352,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7297,
... |
[
{
"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": "2.5",
"budget": 2104
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003353",
"normalized_example_id": "ex_003353",
"source_idx": 3353,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3506,
... |
[
{
"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": "2.5",
"budget": 2805
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003353",
"normalized_example_id": "ex_003353",
"source_idx": 3353,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3506,
... |
[
{
"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": "2.5",
"budget": 3506
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003353",
"normalized_example_id": "ex_003353",
"source_idx": 3353,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3506,
... |
[
{
"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": 3424
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003356",
"normalized_example_id": "ex_003356",
"source_idx": 3356,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5707,
... |
[
{
"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": 4566
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003356",
"normalized_example_id": "ex_003356",
"source_idx": 3356,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5707,
... |
[
{
"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": 5707
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003356",
"normalized_example_id": "ex_003356",
"source_idx": 3356,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5707,
... |
[
{
"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": "89,78,67,56,45,34,23,12,59,48,37,26,15",
"budget": 2151
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003357",
"normalized_example_id": "ex_003357",
"source_idx": 3357,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3585,
... |
[
{
"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": "89,78,67,56,45,34,23,12,59,48,37,26,15",
"budget": 2868
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003357",
"normalized_example_id": "ex_003357",
"source_idx": 3357,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3585,
... |
[
{
"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": "89,78,67,56,45,34,23,12,59,48,37,26,15",
"budget": 3585
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003357",
"normalized_example_id": "ex_003357",
"source_idx": 3357,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3585,
... |
[
{
"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": 2763
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003358",
"normalized_example_id": "ex_003358",
"source_idx": 3358,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4605,
... |
[
{
"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": 3684
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003358",
"normalized_example_id": "ex_003358",
"source_idx": 3358,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4605,
... |
[
{
"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": 4605
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003358",
"normalized_example_id": "ex_003358",
"source_idx": 3358,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4605,
... |
[
{
"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": "2013",
"budget": 5460
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003360",
"normalized_example_id": "ex_003360",
"source_idx": 3360,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9100,
... |
[
{
"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": "2013",
"budget": 7280
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003360",
"normalized_example_id": "ex_003360",
"source_idx": 3360,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9100,
... |
[
{
"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": "2013",
"budget": 9100
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003360",
"normalized_example_id": "ex_003360",
"source_idx": 3360,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9100,
... |
[
{
"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{n(n+1)}{2}-1",
"budget": 4475
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003362",
"normalized_example_id": "ex_003362",
"source_idx": 3362,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7459,
... |
[
{
"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{n(n+1)}{2}-1",
"budget": 5967
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003362",
"normalized_example_id": "ex_003362",
"source_idx": 3362,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7459,
... |
[
{
"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{n(n+1)}{2}-1",
"budget": 7459
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003362",
"normalized_example_id": "ex_003362",
"source_idx": 3362,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7459,
... |
[
{
"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": "7",
"budget": 4328
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003365",
"normalized_example_id": "ex_003365",
"source_idx": 3365,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7213,
... |
[
{
"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": "7",
"budget": 5770
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003365",
"normalized_example_id": "ex_003365",
"source_idx": 3365,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7213,
... |
[
{
"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": "7",
"budget": 7213
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003365",
"normalized_example_id": "ex_003365",
"source_idx": 3365,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7213,
... |
[
{
"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": "7",
"budget": 1386
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003367",
"normalized_example_id": "ex_003367",
"source_idx": 3367,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2310,
... |
[
{
"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": "7",
"budget": 1848
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003367",
"normalized_example_id": "ex_003367",
"source_idx": 3367,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2310,
... |
[
{
"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": "7",
"budget": 2310
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003367",
"normalized_example_id": "ex_003367",
"source_idx": 3367,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2310,
... |
[
{
"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": "(C)\\\\sqrt{13}",
"budget": 3939
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003371",
"normalized_example_id": "ex_003371",
"source_idx": 3371,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6565,
... |
[
{
"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": "(C)\\\\sqrt{13}",
"budget": 5252
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003371",
"normalized_example_id": "ex_003371",
"source_idx": 3371,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6565,
... |
[
{
"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": "(C)\\\\sqrt{13}",
"budget": 6565
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003371",
"normalized_example_id": "ex_003371",
"source_idx": 3371,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6565,
... |
[
{
"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{6}{25}",
"budget": 2619
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003373",
"normalized_example_id": "ex_003373",
"source_idx": 3373,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4365,
... |
[
{
"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{6}{25}",
"budget": 3492
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003373",
"normalized_example_id": "ex_003373",
"source_idx": 3373,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4365,
... |
[
{
"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{6}{25}",
"budget": 4365
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003373",
"normalized_example_id": "ex_003373",
"source_idx": 3373,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4365,
... |
[
{
"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": "41",
"budget": 1837
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003375",
"normalized_example_id": "ex_003375",
"source_idx": 3375,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3061,
... |
[
{
"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": "41",
"budget": 2449
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003375",
"normalized_example_id": "ex_003375",
"source_idx": 3375,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3061,
... |
[
{
"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": "41",
"budget": 3061
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003375",
"normalized_example_id": "ex_003375",
"source_idx": 3375,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3061,
... |
[
{
"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": "9120399",
"budget": 2467
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003378",
"normalized_example_id": "ex_003378",
"source_idx": 3378,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4111,
... |
[
{
"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": "9120399",
"budget": 3289
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003378",
"normalized_example_id": "ex_003378",
"source_idx": 3378,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4111,
... |
[
{
"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": "9120399",
"budget": 4111
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003378",
"normalized_example_id": "ex_003378",
"source_idx": 3378,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4111,
... |
[
{
"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}{3}",
"budget": 4483
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003380",
"normalized_example_id": "ex_003380",
"source_idx": 3380,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7472,
... |
[
{
"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}{3}",
"budget": 5978
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_003380",
"normalized_example_id": "ex_003380",
"source_idx": 3380,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7472,
... |
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