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": "3",
"budget": 3816
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006328",
"normalized_example_id": "ex_006328",
"source_idx": 6328,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3816,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(2n-1)}{3(2n^{2}-n-2)}",
"budget": 3468
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006329",
"normalized_example_id": "ex_006329",
"source_idx": 6329,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5780,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(2n-1)}{3(2n^{2}-n-2)}",
"budget": 4624
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006329",
"normalized_example_id": "ex_006329",
"source_idx": 6329,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5780,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(2n-1)}{3(2n^{2}-n-2)}",
"budget": 5780
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006329",
"normalized_example_id": "ex_006329",
"source_idx": 6329,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5780,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "10080",
"budget": 2876
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006331",
"normalized_example_id": "ex_006331",
"source_idx": 6331,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4793,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "10080",
"budget": 3834
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006331",
"normalized_example_id": "ex_006331",
"source_idx": 6331,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4793,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "10080",
"budget": 4793
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006331",
"normalized_example_id": "ex_006331",
"source_idx": 6331,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4793,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "45^\\circ",
"budget": 2987
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006336",
"normalized_example_id": "ex_006336",
"source_idx": 6336,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4979,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "45^\\circ",
"budget": 3983
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006336",
"normalized_example_id": "ex_006336",
"source_idx": 6336,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4979,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "45^\\circ",
"budget": 4979
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006336",
"normalized_example_id": "ex_006336",
"source_idx": 6336,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4979,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "8800",
"budget": 1141
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006337",
"normalized_example_id": "ex_006337",
"source_idx": 6337,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1901,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "8800",
"budget": 1521
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006337",
"normalized_example_id": "ex_006337",
"source_idx": 6337,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1901,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "8800",
"budget": 1901
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006337",
"normalized_example_id": "ex_006337",
"source_idx": 6337,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1901,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "D",
"budget": 2812
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006338",
"normalized_example_id": "ex_006338",
"source_idx": 6338,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4687,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "D",
"budget": 3750
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006338",
"normalized_example_id": "ex_006338",
"source_idx": 6338,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4687,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "D",
"budget": 4687
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006338",
"normalized_example_id": "ex_006338",
"source_idx": 6338,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4687,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "113",
"budget": 1910
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006339",
"normalized_example_id": "ex_006339",
"source_idx": 6339,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3183,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "113",
"budget": 2546
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006339",
"normalized_example_id": "ex_006339",
"source_idx": 6339,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3183,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "113",
"budget": 3183
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006339",
"normalized_example_id": "ex_006339",
"source_idx": 6339,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3183,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "84",
"budget": 4469
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006340",
"normalized_example_id": "ex_006340",
"source_idx": 6340,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7449,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "84",
"budget": 5959
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006340",
"normalized_example_id": "ex_006340",
"source_idx": 6340,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7449,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "84",
"budget": 7449
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006340",
"normalized_example_id": "ex_006340",
"source_idx": 6340,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7449,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0",
"budget": 650
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006342",
"normalized_example_id": "ex_006342",
"source_idx": 6342,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1083,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0",
"budget": 866
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006342",
"normalized_example_id": "ex_006342",
"source_idx": 6342,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1083,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0",
"budget": 1083
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006342",
"normalized_example_id": "ex_006342",
"source_idx": 6342,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1083,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1720
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006343",
"normalized_example_id": "ex_006343",
"source_idx": 6343,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2866,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2293
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006343",
"normalized_example_id": "ex_006343",
"source_idx": 6343,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2866,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2866
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006343",
"normalized_example_id": "ex_006343",
"source_idx": 6343,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2866,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\pi}{4}",
"budget": 1240
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006346",
"normalized_example_id": "ex_006346",
"source_idx": 6346,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2066,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\pi}{4}",
"budget": 1653
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006346",
"normalized_example_id": "ex_006346",
"source_idx": 6346,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2066,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\pi}{4}",
"budget": 2066
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006346",
"normalized_example_id": "ex_006346",
"source_idx": 6346,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2066,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\pi",
"budget": 2114
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006347",
"normalized_example_id": "ex_006347",
"source_idx": 6347,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3523,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\pi",
"budget": 2818
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006347",
"normalized_example_id": "ex_006347",
"source_idx": 6347,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3523,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\pi",
"budget": 3523
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006347",
"normalized_example_id": "ex_006347",
"source_idx": 6347,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3523,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2k+1",
"budget": 1810
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006348",
"normalized_example_id": "ex_006348",
"source_idx": 6348,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3016,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2k+1",
"budget": 2413
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006348",
"normalized_example_id": "ex_006348",
"source_idx": 6348,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3016,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2k+1",
"budget": 3016
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006348",
"normalized_example_id": "ex_006348",
"source_idx": 6348,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3016,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{3,4}",
"budget": 1657
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006349",
"normalized_example_id": "ex_006349",
"source_idx": 6349,
"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": "x\\in{3,4}",
"budget": 2209
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006349",
"normalized_example_id": "ex_006349",
"source_idx": 6349,
"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": "x\\in{3,4}",
"budget": 2761
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006349",
"normalized_example_id": "ex_006349",
"source_idx": 6349,
"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": "123",
"budget": 1262
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006350",
"normalized_example_id": "ex_006350",
"source_idx": 6350,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2104,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "123",
"budget": 1683
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006350",
"normalized_example_id": "ex_006350",
"source_idx": 6350,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2104,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "123",
"budget": 2104
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006350",
"normalized_example_id": "ex_006350",
"source_idx": 6350,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2104,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = x - 1",
"budget": 6134
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006353",
"normalized_example_id": "ex_006353",
"source_idx": 6353,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 10223,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = x - 1",
"budget": 8178
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006353",
"normalized_example_id": "ex_006353",
"source_idx": 6353,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 10223,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = x - 1",
"budget": 10223
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006353",
"normalized_example_id": "ex_006353",
"source_idx": 6353,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 10223,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\leqslant-3",
"budget": 964
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006354",
"normalized_example_id": "ex_006354",
"source_idx": 6354,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1606,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\leqslant-3",
"budget": 1285
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006354",
"normalized_example_id": "ex_006354",
"source_idx": 6354,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1606,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\leqslant-3",
"budget": 1606
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006354",
"normalized_example_id": "ex_006354",
"source_idx": 6354,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1606,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{7} + \\frac{3\\sqrt{3}}{2}",
"budget": 4015
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006356",
"normalized_example_id": "ex_006356",
"source_idx": 6356,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6692,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{7} + \\frac{3\\sqrt{3}}{2}",
"budget": 5354
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006356",
"normalized_example_id": "ex_006356",
"source_idx": 6356,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6692,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{7} + \\frac{3\\sqrt{3}}{2}",
"budget": 6692
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006356",
"normalized_example_id": "ex_006356",
"source_idx": 6356,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6692,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "81",
"budget": 3295
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006357",
"normalized_example_id": "ex_006357",
"source_idx": 6357,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5492,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "81",
"budget": 4394
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006357",
"normalized_example_id": "ex_006357",
"source_idx": 6357,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5492,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "81",
"budget": 5492
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006357",
"normalized_example_id": "ex_006357",
"source_idx": 6357,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5492,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1717
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006361",
"normalized_example_id": "ex_006361",
"source_idx": 6361,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2862,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2290
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006361",
"normalized_example_id": "ex_006361",
"source_idx": 6361,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2862,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2862
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006361",
"normalized_example_id": "ex_006361",
"source_idx": 6361,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2862,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3.22",
"budget": 5190
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006364",
"normalized_example_id": "ex_006364",
"source_idx": 6364,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8650,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3.22",
"budget": 6920
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006364",
"normalized_example_id": "ex_006364",
"source_idx": 6364,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8650,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3.22",
"budget": 8650
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006364",
"normalized_example_id": "ex_006364",
"source_idx": 6364,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8650,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "490",
"budget": 3814
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006365",
"normalized_example_id": "ex_006365",
"source_idx": 6365,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6356,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "490",
"budget": 5085
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006365",
"normalized_example_id": "ex_006365",
"source_idx": 6365,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6356,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "490",
"budget": 6356
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006365",
"normalized_example_id": "ex_006365",
"source_idx": 6365,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6356,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "17",
"budget": 2099
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006366",
"normalized_example_id": "ex_006366",
"source_idx": 6366,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3499,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "17",
"budget": 2799
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006366",
"normalized_example_id": "ex_006366",
"source_idx": 6366,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3499,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "17",
"budget": 3499
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006366",
"normalized_example_id": "ex_006366",
"source_idx": 6366,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3499,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "56\\pi",
"budget": 2170
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006367",
"normalized_example_id": "ex_006367",
"source_idx": 6367,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3616,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "56\\pi",
"budget": 2893
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006367",
"normalized_example_id": "ex_006367",
"source_idx": 6367,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3616,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "56\\pi",
"budget": 3616
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006367",
"normalized_example_id": "ex_006367",
"source_idx": 6367,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3616,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "64",
"budget": 1385
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006368",
"normalized_example_id": "ex_006368",
"source_idx": 6368,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2308,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "64",
"budget": 1846
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006368",
"normalized_example_id": "ex_006368",
"source_idx": 6368,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2308,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "64",
"budget": 2308
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006368",
"normalized_example_id": "ex_006368",
"source_idx": 6368,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2308,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1891
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006369",
"normalized_example_id": "ex_006369",
"source_idx": 6369,
"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": "4",
"budget": 2521
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006369",
"normalized_example_id": "ex_006369",
"source_idx": 6369,
"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": "4",
"budget": 3151
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006369",
"normalized_example_id": "ex_006369",
"source_idx": 6369,
"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": "2:(\\sqrt{5}-1)",
"budget": 2204
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006372",
"normalized_example_id": "ex_006372",
"source_idx": 6372,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3673,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5}-1)",
"budget": 2938
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006372",
"normalized_example_id": "ex_006372",
"source_idx": 6372,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3673,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5}-1)",
"budget": 3673
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006372",
"normalized_example_id": "ex_006372",
"source_idx": 6372,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3673,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{-1}{2}",
"budget": 2143
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006378",
"normalized_example_id": "ex_006378",
"source_idx": 6378,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3571,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{-1}{2}",
"budget": 2857
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006378",
"normalized_example_id": "ex_006378",
"source_idx": 6378,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3571,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{-1}{2}",
"budget": 3571
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006378",
"normalized_example_id": "ex_006378",
"source_idx": 6378,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3571,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sqrt{5}-1}{4}",
"budget": 5030
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006379",
"normalized_example_id": "ex_006379",
"source_idx": 6379,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8383,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sqrt{5}-1}{4}",
"budget": 6706
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006379",
"normalized_example_id": "ex_006379",
"source_idx": 6379,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8383,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sqrt{5}-1}{4}",
"budget": 8383
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006379",
"normalized_example_id": "ex_006379",
"source_idx": 6379,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8383,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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} \\leqslant x \\leqslant \\frac{2}{3}",
"budget": 1032
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006380",
"normalized_example_id": "ex_006380",
"source_idx": 6380,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1720,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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} \\leqslant x \\leqslant \\frac{2}{3}",
"budget": 1376
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006380",
"normalized_example_id": "ex_006380",
"source_idx": 6380,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1720,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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} \\leqslant x \\leqslant \\frac{2}{3}",
"budget": 1720
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006380",
"normalized_example_id": "ex_006380",
"source_idx": 6380,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1720,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4034
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006381",
"normalized_example_id": "ex_006381",
"source_idx": 6381,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6723,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5378
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006381",
"normalized_example_id": "ex_006381",
"source_idx": 6381,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6723,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6723
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006381",
"normalized_example_id": "ex_006381",
"source_idx": 6381,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6723,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{x}\\cdot\\sin2x",
"budget": 1223
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006385",
"normalized_example_id": "ex_006385",
"source_idx": 6385,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2039,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{x}\\cdot\\sin2x",
"budget": 1631
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006385",
"normalized_example_id": "ex_006385",
"source_idx": 6385,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2039,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{x}\\cdot\\sin2x",
"budget": 2039
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006385",
"normalized_example_id": "ex_006385",
"source_idx": 6385,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2039,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "7744",
"budget": 2042
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006388",
"normalized_example_id": "ex_006388",
"source_idx": 6388,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3403,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "7744",
"budget": 2722
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006388",
"normalized_example_id": "ex_006388",
"source_idx": 6388,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3403,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "7744",
"budget": 3403
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006388",
"normalized_example_id": "ex_006388",
"source_idx": 6388,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3403,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "450\\mathrm{~}^{2}",
"budget": 701
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006390",
"normalized_example_id": "ex_006390",
"source_idx": 6390,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1169,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "450\\mathrm{~}^{2}",
"budget": 935
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006390",
"normalized_example_id": "ex_006390",
"source_idx": 6390,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1169,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "450\\mathrm{~}^{2}",
"budget": 1169
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006390",
"normalized_example_id": "ex_006390",
"source_idx": 6390,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1169,
... |
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