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": "6",
"budget": 831
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000596",
"normalized_example_id": "ex_000596",
"source_idx": 596,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1385,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "6",
"budget": 1108
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000596",
"normalized_example_id": "ex_000596",
"source_idx": 596,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1385,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "6",
"budget": 1385
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000596",
"normalized_example_id": "ex_000596",
"source_idx": 596,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1385,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2}\\sinx+2(x\\cosx-\\sinx)+C",
"budget": 712
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000599",
"normalized_example_id": "ex_000599",
"source_idx": 599,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1187,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2}\\sinx+2(x\\cosx-\\sinx)+C",
"budget": 950
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000599",
"normalized_example_id": "ex_000599",
"source_idx": 599,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1187,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2}\\sinx+2(x\\cosx-\\sinx)+C",
"budget": 1187
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000599",
"normalized_example_id": "ex_000599",
"source_idx": 599,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1187,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "P(x)=3x^{5}-10x^{3}+15x",
"budget": 2400
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000600",
"normalized_example_id": "ex_000600",
"source_idx": 600,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4000,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "P(x)=3x^{5}-10x^{3}+15x",
"budget": 3200
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000600",
"normalized_example_id": "ex_000600",
"source_idx": 600,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4000,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "P(x)=3x^{5}-10x^{3}+15x",
"budget": 4000
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000600",
"normalized_example_id": "ex_000600",
"source_idx": 600,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4000,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\ln^{2}\\sinx}{2}+C",
"budget": 1096
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000601",
"normalized_example_id": "ex_000601",
"source_idx": 601,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1827,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\ln^{2}\\sinx}{2}+C",
"budget": 1462
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000601",
"normalized_example_id": "ex_000601",
"source_idx": 601,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1827,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\ln^{2}\\sinx}{2}+C",
"budget": 1827
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000601",
"normalized_example_id": "ex_000601",
"source_idx": 601,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1827,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "6",
"budget": 984
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000604",
"normalized_example_id": "ex_000604",
"source_idx": 604,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1640,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "6",
"budget": 1312
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000604",
"normalized_example_id": "ex_000604",
"source_idx": 604,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1640,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "6",
"budget": 1640
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000604",
"normalized_example_id": "ex_000604",
"source_idx": 604,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1640,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "27556",
"budget": 4787
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000605",
"normalized_example_id": "ex_000605",
"source_idx": 605,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7978,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "27556",
"budget": 6382
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000605",
"normalized_example_id": "ex_000605",
"source_idx": 605,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7978,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "27556",
"budget": 7978
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000605",
"normalized_example_id": "ex_000605",
"source_idx": 605,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7978,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{4}{3}",
"budget": 1600
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000606",
"normalized_example_id": "ex_000606",
"source_idx": 606,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2667,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{4}{3}",
"budget": 2134
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000606",
"normalized_example_id": "ex_000606",
"source_idx": 606,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2667,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{4}{3}",
"budget": 2667
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000606",
"normalized_example_id": "ex_000606",
"source_idx": 606,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2667,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "180",
"budget": 1579
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000607",
"normalized_example_id": "ex_000607",
"source_idx": 607,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2632,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "180",
"budget": 2106
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000607",
"normalized_example_id": "ex_000607",
"source_idx": 607,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2632,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "180",
"budget": 2632
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000607",
"normalized_example_id": "ex_000607",
"source_idx": 607,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2632,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "186",
"budget": 1102
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000608",
"normalized_example_id": "ex_000608",
"source_idx": 608,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1836,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "186",
"budget": 1469
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000608",
"normalized_example_id": "ex_000608",
"source_idx": 608,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1836,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "186",
"budget": 1836
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000608",
"normalized_example_id": "ex_000608",
"source_idx": 608,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1836,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "499",
"budget": 2550
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000612",
"normalized_example_id": "ex_000612",
"source_idx": 612,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4250,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "499",
"budget": 3400
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000612",
"normalized_example_id": "ex_000612",
"source_idx": 612,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4250,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "499",
"budget": 4250
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000612",
"normalized_example_id": "ex_000612",
"source_idx": 612,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4250,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8(x^{2}-5x-11)}{(x-1)^{5}}",
"budget": 3410
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000613",
"normalized_example_id": "ex_000613",
"source_idx": 613,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5684,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8(x^{2}-5x-11)}{(x-1)^{5}}",
"budget": 4547
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000613",
"normalized_example_id": "ex_000613",
"source_idx": 613,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5684,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8(x^{2}-5x-11)}{(x-1)^{5}}",
"budget": 5684
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000613",
"normalized_example_id": "ex_000613",
"source_idx": 613,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5684,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 = 1972",
"budget": 3206
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000616",
"normalized_example_id": "ex_000616",
"source_idx": 616,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5344,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 = 1972",
"budget": 4275
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000616",
"normalized_example_id": "ex_000616",
"source_idx": 616,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5344,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 = 1972",
"budget": 5344
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000616",
"normalized_example_id": "ex_000616",
"source_idx": 616,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5344,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\pi",
"budget": 4286
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000617",
"normalized_example_id": "ex_000617",
"source_idx": 617,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7143,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\pi",
"budget": 5714
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000617",
"normalized_example_id": "ex_000617",
"source_idx": 617,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7143,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\pi",
"budget": 7143
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000617",
"normalized_example_id": "ex_000617",
"source_idx": 617,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7143,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\leqslantx<1-\\frac{\\sqrt{31}}{8}",
"budget": 2960
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000618",
"normalized_example_id": "ex_000618",
"source_idx": 618,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4933,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\leqslantx<1-\\frac{\\sqrt{31}}{8}",
"budget": 3946
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000618",
"normalized_example_id": "ex_000618",
"source_idx": 618,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4933,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\leqslantx<1-\\frac{\\sqrt{31}}{8}",
"budget": 4933
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000618",
"normalized_example_id": "ex_000618",
"source_idx": 618,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4933,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=0,1,4,9,16,25",
"budget": 5758
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000619",
"normalized_example_id": "ex_000619",
"source_idx": 619,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9597,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=0,1,4,9,16,25",
"budget": 7678
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000619",
"normalized_example_id": "ex_000619",
"source_idx": 619,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9597,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=0,1,4,9,16,25",
"budget": 9597
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000619",
"normalized_example_id": "ex_000619",
"source_idx": 619,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9597,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\angleMAB=20,\\angleMAC=10",
"budget": 3701
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000621",
"normalized_example_id": "ex_000621",
"source_idx": 621,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6168,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\angleMAB=20,\\angleMAC=10",
"budget": 4934
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000621",
"normalized_example_id": "ex_000621",
"source_idx": 621,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6168,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\angleMAB=20,\\angleMAC=10",
"budget": 6168
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000621",
"normalized_example_id": "ex_000621",
"source_idx": 621,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6168,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 710
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000622",
"normalized_example_id": "ex_000622",
"source_idx": 622,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1183,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 946
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000622",
"normalized_example_id": "ex_000622",
"source_idx": 622,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1183,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1183
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000622",
"normalized_example_id": "ex_000622",
"source_idx": 622,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1183,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3,7",
"budget": 2809
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000623",
"normalized_example_id": "ex_000623",
"source_idx": 623,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4682,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3,7",
"budget": 3746
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000623",
"normalized_example_id": "ex_000623",
"source_idx": 623,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4682,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3,7",
"budget": 4682
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000623",
"normalized_example_id": "ex_000623",
"source_idx": 623,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4682,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1102
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000625",
"normalized_example_id": "ex_000625",
"source_idx": 625,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1837,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1470
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000625",
"normalized_example_id": "ex_000625",
"source_idx": 625,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1837,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1837
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000625",
"normalized_example_id": "ex_000625",
"source_idx": 625,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1837,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "9",
"budget": 654
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000628",
"normalized_example_id": "ex_000628",
"source_idx": 628,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1090,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "9",
"budget": 872
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000628",
"normalized_example_id": "ex_000628",
"source_idx": 628,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1090,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "9",
"budget": 1090
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000628",
"normalized_example_id": "ex_000628",
"source_idx": 628,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1090,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1657
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000629",
"normalized_example_id": "ex_000629",
"source_idx": 629,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2761,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2209
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000629",
"normalized_example_id": "ex_000629",
"source_idx": 629,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2761,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2761
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000629",
"normalized_example_id": "ex_000629",
"source_idx": 629,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2761,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "k = 1",
"budget": 3591
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000631",
"normalized_example_id": "ex_000631",
"source_idx": 631,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5985,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "k = 1",
"budget": 4788
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000631",
"normalized_example_id": "ex_000631",
"source_idx": 631,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5985,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "k = 1",
"budget": 5985
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000631",
"normalized_example_id": "ex_000631",
"source_idx": 631,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5985,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(5,3,19)",
"budget": 3578
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000632",
"normalized_example_id": "ex_000632",
"source_idx": 632,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5963,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(5,3,19)",
"budget": 4770
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000632",
"normalized_example_id": "ex_000632",
"source_idx": 632,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5963,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(5,3,19)",
"budget": 5963
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000632",
"normalized_example_id": "ex_000632",
"source_idx": 632,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5963,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2186",
"budget": 4907
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000633",
"normalized_example_id": "ex_000633",
"source_idx": 633,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8178,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2186",
"budget": 6542
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000633",
"normalized_example_id": "ex_000633",
"source_idx": 633,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8178,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2186",
"budget": 8178
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000633",
"normalized_example_id": "ex_000633",
"source_idx": 633,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8178,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{4}),",
"budget": 5929
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000634",
"normalized_example_id": "ex_000634",
"source_idx": 634,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9882,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{4}),",
"budget": 7906
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000634",
"normalized_example_id": "ex_000634",
"source_idx": 634,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9882,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{4}),",
"budget": 9882
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000634",
"normalized_example_id": "ex_000634",
"source_idx": 634,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9882,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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},-1",
"budget": 1226
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000635",
"normalized_example_id": "ex_000635",
"source_idx": 635,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2043,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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},-1",
"budget": 1634
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000635",
"normalized_example_id": "ex_000635",
"source_idx": 635,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2043,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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},-1",
"budget": 2043
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000635",
"normalized_example_id": "ex_000635",
"source_idx": 635,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2043,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{2}",
"budget": 1169
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000636",
"normalized_example_id": "ex_000636",
"source_idx": 636,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1948,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{2}",
"budget": 1558
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000636",
"normalized_example_id": "ex_000636",
"source_idx": 636,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1948,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{2}",
"budget": 1948
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000636",
"normalized_example_id": "ex_000636",
"source_idx": 636,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1948,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "865",
"budget": 4582
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000638",
"normalized_example_id": "ex_000638",
"source_idx": 638,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7637,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "865",
"budget": 6110
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000638",
"normalized_example_id": "ex_000638",
"source_idx": 638,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7637,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "865",
"budget": 7637
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000638",
"normalized_example_id": "ex_000638",
"source_idx": 638,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7637,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{6}",
"budget": 1630
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000639",
"normalized_example_id": "ex_000639",
"source_idx": 639,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2717,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{6}",
"budget": 2174
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000639",
"normalized_example_id": "ex_000639",
"source_idx": 639,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2717,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\sqrt{6}",
"budget": 2717
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000639",
"normalized_example_id": "ex_000639",
"source_idx": 639,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2717,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{156}{25}+\\ln5",
"budget": 2024
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000640",
"normalized_example_id": "ex_000640",
"source_idx": 640,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3373,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{156}{25}+\\ln5",
"budget": 2698
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000640",
"normalized_example_id": "ex_000640",
"source_idx": 640,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3373,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{156}{25}+\\ln5",
"budget": 3373
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000640",
"normalized_example_id": "ex_000640",
"source_idx": 640,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3373,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2597
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000641",
"normalized_example_id": "ex_000641",
"source_idx": 641,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4328,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3462
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000641",
"normalized_example_id": "ex_000641",
"source_idx": 641,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4328,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4328
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000641",
"normalized_example_id": "ex_000641",
"source_idx": 641,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4328,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "825\\sqrt{3}\\approx1429\\mathrm{~}^{3}",
"budget": 2629
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000646",
"normalized_example_id": "ex_000646",
"source_idx": 646,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4382,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "825\\sqrt{3}\\approx1429\\mathrm{~}^{3}",
"budget": 3506
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000646",
"normalized_example_id": "ex_000646",
"source_idx": 646,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4382,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "825\\sqrt{3}\\approx1429\\mathrm{~}^{3}",
"budget": 4382
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000646",
"normalized_example_id": "ex_000646",
"source_idx": 646,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4382,
"... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "24192",
"budget": 6135
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000647",
"normalized_example_id": "ex_000647",
"source_idx": 647,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 10225,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "24192",
"budget": 8180
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000647",
"normalized_example_id": "ex_000647",
"source_idx": 647,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 10225,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "24192",
"budget": 10225
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000647",
"normalized_example_id": "ex_000647",
"source_idx": 647,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 10225,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4915
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_000651",
"normalized_example_id": "ex_000651",
"source_idx": 651,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8191,
"... |
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