conversation listlengths 2 2 | seed int64 68.2k 199M | task_id int64 1.38M 900M | task_metadata dict | task_type stringclasses 8
values | usage dict |
|---|---|---|---|---|---|
[
{
"content": "Bracket Puzzle: What's missing at the start?\n\nGiven suffix: }}>⟩]]]}\n\nSolve:\n1. Each closing bracket needs a matching opening bracket\n2. Add the minimal opening brackets to the left\n3. The final sequence must be properly nested\n\nPlease provide your final answer (the full balanced sequence... | 116,120,358 | 516,120,358 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": 8,
"full_sequence": "{[[[⟨<{{}}>⟩]]]}",
"generation_error": null,
"generation_failed": null,
"generation_trace... | dyck_language2 | {
"completion_tokens": 538,
"completion_tokens_details": null,
"prompt_tokens": 81,
"prompt_tokens_details": null,
"total_tokens": 619
} |
[
{
"content": "As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.\n\nA Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.\n\nSeq... | 7,269,383 | 807,269,383 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": "[]()[()()]",
"error_indices": [
6,
10
],
"expression": null,
"expressions": null,
"fill_length": null,
"full_sequence": null,
"generation_error": null,
"generation_failed": null,
"gene... | dyck_language_reasoning_errors | {
"completion_tokens": 193,
"completion_tokens_details": null,
"prompt_tokens": 252,
"prompt_tokens_details": null,
"total_tokens": 445
} |
[
{
"content": "Fill in the blank:\n\n_____ + []()()<>()[]}<><>}][]>)[]]{})))]>)]<> = valid Dyck sequence\n\nRules:\n- The blank contains only opening brackets\n- Use the minimum required\n\nPlease provide your final answer (the complete filled sequence) in backticks like `answer`.",
"reasoning_content": null... | 56,101,189 | 456,101,189 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": 13,
"full_sequence": "[(<[((([(<[{{[]()()<>()[]}<><>}][]>)[]]{})))]>)]<>",
"generation_error": null,
"generation... | dyck_language2 | {
"completion_tokens": 1141,
"completion_tokens_details": null,
"prompt_tokens": 76,
"prompt_tokens_details": null,
"total_tokens": 1217
} |
[
{
"content": "Bracket Puzzle: What's missing at the start?\n\nGiven suffix: ⟩[]<>]>⟧>}]})⟧)}⟧]⟧⟩>\n\nSolve:\n1. Each closing bracket needs a matching opening bracket\n2. Add the minimal opening brackets to the left\n3. The final sequence must be properly nested\n\nPlease provide your final answer (the full bala... | 33,638,404 | 433,638,404 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": 17,
"full_sequence": "<⟨⟦[⟦{(⟦({[{<⟦<[⟨⟩[]<>]>⟧>}]})⟧)}⟧]⟧⟩>",
"generation_error": null,
"generation_failed": nu... | dyck_language2 | {
"completion_tokens": 1221,
"completion_tokens_details": null,
"prompt_tokens": 92,
"prompt_tokens_details": null,
"total_tokens": 1313
} |
[
{
"content": "You are given the ending portion of a bracket sequence. Find the beginning.\n\nEnding: )})[]}))\n\nYour task:\n- Determine what opening brackets must come before this ending\n- The result must be a valid, balanced bracket sequence\n- Use the minimum number of opening brackets necessary\n\nPlease p... | 197,420,771 | 597,420,771 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": 6,
"full_sequence": "(({({()})[]}))",
"generation_error": null,
"generation_failed": null,
"generation_traceba... | dyck_language2 | {
"completion_tokens": 439,
"completion_tokens_details": null,
"prompt_tokens": 84,
"prompt_tokens_details": null,
"total_tokens": 523
} |
[
{
"content": "As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.\n\nA Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.\n\nSeq... | 11,228,580 | 811,228,580 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": "[<>[]()<>[]][]{{}}<(<()<>>)[]>",
"error_indices": [
7,
23,
30,
31,
32
],
"expression": null,
"expressions": null,
"fill_length": null,
"full_sequence": null,
"generation_error"... | dyck_language_reasoning_errors | {
"completion_tokens": 481,
"completion_tokens_details": null,
"prompt_tokens": 480,
"prompt_tokens_details": null,
"total_tokens": 961
} |
[
{
"content": "Study the following logical statements:\n\nA. not ((-3 * 9 * -2 * -10) <= (-8 * 8 * 3 * -7))\nB. not not ((4 * -6 * 10 * -4) > (6 - -20))\nC. (((Gold is a liquid at room temperature.) and ((12 * -3) <= (-11 + -7))) or ((Oil is a liquid at room temperature.) or (The 1968 Olympics were held in Rome.... | 74,388,075 | 674,388,075 | {
"closing_sequence": null,
"depth": 3,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": [
[
"not ((-3 * 9 * -2 * -10) <= (-8 * 8 * 3 * -7))",
"False"
],
[
"not not ((4 * -6 * 10 * -4) > (6 - -20))",
... | boolean_expressions | {
"completion_tokens": 761,
"completion_tokens_details": null,
"prompt_tokens": 324,
"prompt_tokens_details": null,
"total_tokens": 1085
} |
[
{
"content": "Define ○, the rules are as follows:\non the real number field, x ○ y = (y) * x.\nThe precedence of operations: ** > * = / = % > + = - = ○。\nParentheses have the highest priority, and the expression inside the parentheses is calculated first.\nPlease calculate the value of the expression: 7 % 1 ○... | 22,917,703 | 222,917,703 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": "7 % 1 ○ 6",
"expressions": null,
"fill_length": null,
"full_sequence": null,
"generation_error": null,
"generation_failed": null,
"generation_traceback... | operation | {
"completion_tokens": 266,
"completion_tokens_details": null,
"prompt_tokens": 98,
"prompt_tokens_details": null,
"total_tokens": 364
} |
[
{
"content": "Q: What opening brackets should precede \"⟩)⟩\" to form a valid bracket sequence?\n\nRequirements:\n- Use exactly the brackets needed (no more, no less)\n- Maintain proper nesting order\n\nPlease provide your final answer (the entire resulting sequence) in backticks like `answer`.",
"reasoning... | 194,607,815 | 594,607,815 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": 3,
"full_sequence": "⟨(⟨⟩)⟩",
"generation_error": null,
"generation_failed": null,
"generation_traceback": nul... | dyck_language2 | {
"completion_tokens": 304,
"completion_tokens_details": null,
"prompt_tokens": 69,
"prompt_tokens_details": null,
"total_tokens": 373
} |
[
{
"content": "Given the following boolean expressions:\n\nA. not ((((-17 - -18) > (35 % 5)) and (The capital of Switzerland is Oslo.)) and ((The Great Wall of China was built in one year.) or (Wood is a solid at room temperature.)))\nB. ((The 1980 Olympics were held in Moscow.) or ((19 is a prime number.) or ((... | 28,845,518 | 628,845,518 | {
"closing_sequence": null,
"depth": 3,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": [
[
"not ((((-17 - -18) > (35 % 5)) and (The capital of Switzerland is Oslo.)) and ((The Great Wall of China was built in one year.) o... | boolean_expressions | {
"completion_tokens": 1150,
"completion_tokens_details": null,
"prompt_tokens": 476,
"prompt_tokens_details": null,
"total_tokens": 1626
} |
[
{
"content": "As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.\n\nA Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.\n\nSeq... | 59,437,993 | 859,437,993 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": "[]<{}><><[<()()<[][][]>[]>]>{}",
"error_indices": [
3,
16,
26,
28
],
"expression": null,
"expressions": null,
"fill_length": null,
"full_sequence": null,
"generation_error": null,
... | dyck_language_reasoning_errors | {
"completion_tokens": 479,
"completion_tokens_details": null,
"prompt_tokens": 506,
"prompt_tokens_details": null,
"total_tokens": 985
} |
[
{
"content": "Q: What opening brackets should precede \"⟩)}⟩>⟨⟩}}⟩⟨⟩⟩[]⟩]>]{}}⟨⟩<>{}{}()<>⟨⟩[]\" to form a valid bracket sequence?\n\nRequirements:\n- Use exactly the brackets needed (no more, no less)\n- Maintain proper nesting order\n\nPlease provide your final answer (the entire resulting sequence) in backti... | 14,655,426 | 414,655,426 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": 14,
"full_sequence": "{[<[⟨⟨⟨{{<⟨{(⟨⟩)}⟩>⟨⟩}}⟩⟨⟩⟩[]⟩]>]{}}⟨⟩<>{}{}()<>⟨⟩[]",
"generation_error": null,
"generati... | dyck_language2 | {
"completion_tokens": 1311,
"completion_tokens_details": null,
"prompt_tokens": 91,
"prompt_tokens_details": null,
"total_tokens": 1402
} |
[
{
"content": "Let S = \"⟩}>]}⟩)⟩⟩>]})}⟩]}}⟩}\" be a suffix of a Dyck word.\n\nFind the minimal prefix P such that P + S forms a valid Dyck word.\n\nPlease provide your final answer (P + S, the complete Dyck word) in backticks like `answer`.",
"reasoning_content": null,
"role": "user"
},
{
"conte... | 132,610,186 | 532,610,186 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": 20,
"full_sequence": "{⟨{{[⟨{({[<⟨⟨(⟨{[<{⟨⟩}>]}⟩)⟩⟩>]})}⟩]}}⟩}",
"generation_error": null,
"generation_failed": ... | dyck_language2 | {
"completion_tokens": 1417,
"completion_tokens_details": null,
"prompt_tokens": 78,
"prompt_tokens_details": null,
"total_tokens": 1495
} |
[
{
"content": "Bracket Puzzle: What's missing at the start?\n\nGiven suffix: )()}⟨⟩\n\nSolve:\n1. Each closing bracket needs a matching opening bracket\n2. Add the minimal opening brackets to the left\n3. The final sequence must be properly nested\n\nPlease provide your final answer (the full balanced sequence) ... | 34,957,363 | 434,957,363 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": 2,
"full_sequence": "{()()}⟨⟩",
"generation_error": null,
"generation_failed": null,
"generation_traceback": n... | dyck_language2 | {
"completion_tokens": 303,
"completion_tokens_details": null,
"prompt_tokens": 81,
"prompt_tokens_details": null,
"total_tokens": 384
} |
[
{
"content": "Evaluate each expression below:\n\nA. not (((not not (((The 1912 Olympics were held in Stockholm.) or ((5 * -3 * -4 * -5) == (3 - 8))) or ((13 - -16) <= (25 % 10) <= (2 ** 3)))) and ((not not (The currency of Chile is the Real.)) and (((15 + 15) > (-17 - -2)) or ((1 ** 2) >= (31 % 6))))) or ((not ... | 70,754,210 | 670,754,210 | {
"closing_sequence": null,
"depth": 6,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": [
[
"not (((not not (((The 1912 Olympics were held in Stockholm.) or ((5 * -3 * -4 * -5) == (3 - 8))) or ((13 - -16) <= (25 % 10) <= (... | boolean_expressions | {
"completion_tokens": 1577,
"completion_tokens_details": null,
"prompt_tokens": 695,
"prompt_tokens_details": null,
"total_tokens": 2272
} |
[
{
"content": "As a Dyck language expert, you need to verify the correctness of bracket matching reasoning steps.\n\nA Dyck sequence must have all brackets properly matched and nested. The reasoning process tracks a stack: opening brackets are pushed, and closing brackets pop the matching opening bracket.\n\nSeq... | 93,181,487 | 893,181,487 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": "(((()()))())",
"error_indices": [
7,
11,
14
],
"expression": null,
"expressions": null,
"fill_length": null,
"full_sequence": null,
"generation_error": null,
"generation_failed": nul... | dyck_language_reasoning_errors | {
"completion_tokens": 244,
"completion_tokens_details": null,
"prompt_tokens": 276,
"prompt_tokens_details": null,
"total_tokens": 520
} |
[
{
"content": "Define ♡, the rules are as follows:\non the real number field, x ♡ y = y * x + y.\nand ♢, the rules are as follows:\nwhen x is greater than y, x ♢ y = x + y;\notherwise, x ♢ y = x + abs(y).\nThe precedence of operations: ♡ = ♢ > ** > * = / = % > + = -。\nParentheses have the highest priority,... | 24,128,106 | 224,128,106 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": "4 ♢ 7",
"expressions": null,
"fill_length": null,
"full_sequence": null,
"generation_error": null,
"generation_failed": null,
"generation_traceback": n... | operation | {
"completion_tokens": 433,
"completion_tokens_details": null,
"prompt_tokens": 142,
"prompt_tokens_details": null,
"total_tokens": 575
} |
[
{
"content": "定义 ⊕，规则如下：\n当x是5的倍数时，x ⊕ y = y + y - y * y * x；\n其他情况下，x ⊕ y = 1 - 1 * y - y + x。\n和 ◇，规则如下：\n实数域上，x ◇ y = y - 3 ** x * x。\n和 □，规则如下：\n实数域上，x □ y = 2 - x - 3 ** y。\n运算优先级：□ > ** > * = / = % = ⊕ = ◇ > + = -。\n括号具有最高优先级，先计算括号内的表达式。\n请计算表达式的值: 10 ⊕ 6 ◇ 4\n请将最终答案填入\\boxed{}中。",
"reasoning_... | 31,703,022 | 231,703,022 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": "10 ⊕ 6 ◇ 4",
"expressions": null,
"fill_length": null,
"full_sequence": null,
"generation_error": null,
"generation_failed": null,
"generation_tracebac... | operation | {
"completion_tokens": 654,
"completion_tokens_details": null,
"prompt_tokens": 186,
"prompt_tokens_details": null,
"total_tokens": 840
} |
[
{
"content": "Fill in the blank:\n\n_____ + <>]}]]])}{}>>}} = valid Dyck sequence\n\nRules:\n- The blank contains only opening brackets\n- Use the minimum required\n\nPlease provide your final answer (the complete filled sequence) in backticks like `answer`.",
"reasoning_content": null,
"role": "user"
... | 84,184,336 | 484,184,336 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": 11,
"full_sequence": "{{<<{([[[{[<>]}]]])}{}>>}}",
"generation_error": null,
"generation_failed": null,
"gener... | dyck_language2 | {
"completion_tokens": 753,
"completion_tokens_details": null,
"prompt_tokens": 65,
"prompt_tokens_details": null,
"total_tokens": 818
} |
[
{
"content": "Fill in the blank:\n\n_____ + )])}>]}()][]{}{}()<> = valid Dyck sequence\n\nRules:\n- The blank contains only opening brackets\n- Use the minimum required\n\nPlease provide your final answer (the complete filled sequence) in backticks like `answer`.",
"reasoning_content": null,
"role": "us... | 4,376,049 | 404,376,049 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": 8,
"full_sequence": "[{[<{([()])}>]}()][]{}{}()<>",
"generation_error": null,
"generation_failed": null,
"gene... | dyck_language2 | {
"completion_tokens": 679,
"completion_tokens_details": null,
"prompt_tokens": 67,
"prompt_tokens_details": null,
"total_tokens": 746
} |
[
{
"content": "Let S = \"⦄⟧)\" be a suffix of a Dyck word.\n\nFind the minimal prefix P such that P + S forms a valid Dyck word.\n\nPlease provide your final answer (P + S, the complete Dyck word) in backticks like `answer`.",
"reasoning_content": null,
"role": "user"
},
{
"content": "`(⟦⦃⦄⟧)`",
... | 106,420,354 | 506,420,354 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": 3,
"full_sequence": "(⟦⦃⦄⟧)",
"generation_error": null,
"generation_failed": null,
"generation_traceback": nul... | dyck_language2 | {
"completion_tokens": 313,
"completion_tokens_details": null,
"prompt_tokens": 67,
"prompt_tokens_details": null,
"total_tokens": 380
} |
[
{
"content": "Let S = \")⟨⟩⟩{}]⟨⟩><>]()⟧⟧)}⟧]⟧⦃⦄⟩⟨⟩<><>⟦⟧⟨⟩\" be a suffix of a Dyck word.\n\nFind the minimal prefix P such that P + S forms a valid Dyck word.\n\nPlease provide your final answer (P + S, the complete Dyck word) in backticks like `answer`.",
"reasoning_content": null,
"role": "user"
},... | 36,575,122 | 436,575,122 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": 13,
"full_sequence": "⟨⟦[⟦{(⟦⟦[<[⟨()⟨⟩⟩{}]⟨⟩><>]()⟧⟧)}⟧]⟧⦃⦄⟩⟨⟩<><>⟦⟧⟨⟩",
"generation_error": null,
"generation_f... | dyck_language2 | {
"completion_tokens": 1246,
"completion_tokens_details": null,
"prompt_tokens": 93,
"prompt_tokens_details": null,
"total_tokens": 1339
} |
[
{
"content": "Fill in the blank:\n\n_____ + ⟩⟧>⟩⟩>⟧⦄]⟩ = valid Dyck sequence\n\nRules:\n- The blank contains only opening brackets\n- Use the minimum required\n\nPlease provide your final answer (the complete filled sequence) in backticks like `answer`.",
"reasoning_content": null,
"role": "user"
},
... | 193,949,908 | 593,949,908 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": 10,
"full_sequence": "⟨[⦃⟦<⟨⟨<⟦⟨⟩⟧>⟩⟩>⟧⦄]⟩",
"generation_error": null,
"generation_failed": null,
"generation_... | dyck_language2 | {
"completion_tokens": 736,
"completion_tokens_details": null,
"prompt_tokens": 69,
"prompt_tokens_details": null,
"total_tokens": 805
} |
[
{
"content": "定义 ▽，规则如下：\n当y是5的倍数时，x ▽ y = y + x + x；\n其他情况下，x ▽ y = (x + y * y)。\n运算优先级：** = ▽ > * = / = % > + = -。\n括号具有最高优先级，先计算括号内的表达式。\n请计算表达式的值: 5\n请将最终答案填入\\boxed{}中。",
"reasoning_content": null,
"role": "user"
},
{
"content": "根据问题描述，表达式为“5”，该表达式仅包含一个数字，无任何运算符。因此，表达式的值即为5。\n\n\\boxed... | 95,423,666 | 295,423,666 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": "5",
"expressions": null,
"fill_length": null,
"full_sequence": null,
"generation_error": null,
"generation_failed": null,
"generation_traceback": null,... | operation | {
"completion_tokens": 1481,
"completion_tokens_details": null,
"prompt_tokens": 109,
"prompt_tokens_details": null,
"total_tokens": 1590
} |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary opening brackets at the beginning.\n\nSuffix: [])}}))}}))\n\nRules:\n- Add only the opening brackets needed to match all unmatched closing brackets\n- The opening brackets should be prepended to form a valid sequence\n- ... | 89,769,750 | 489,769,750 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": 9,
"full_sequence": "(({{(({{([])}}))}}))",
"generation_error": null,
"generation_failed": null,
"generation_t... | dyck_language2 | {
"completion_tokens": 589,
"completion_tokens_details": null,
"prompt_tokens": 96,
"prompt_tokens_details": null,
"total_tokens": 685
} |
[
{
"content": "定义 ○，规则如下：\n当x和y的和是偶数时，x ○ y = x - 4 + 3 - y / y；\n其他情况下，x ○ y = x + y + 3 + (y * x)。\n运算优先级：○ > ** > * = / = % > + = -。\n括号具有最高优先级，先计算括号内的表达式。\n请计算表达式的值: 4 ○ 7\n请将最终答案填入\\boxed{}中。",
"reasoning_content": null,
"role": "user"
},
{
"content": "根据规则：\n\n- 当 \\(x+y\\) 为偶数时，\\(x \\... | 46,938,911 | 246,938,911 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": "4 ○ 7",
"expressions": null,
"fill_length": null,
"full_sequence": null,
"generation_error": null,
"generation_failed": null,
"generation_traceback": n... | operation | {
"completion_tokens": 242,
"completion_tokens_details": null,
"prompt_tokens": 121,
"prompt_tokens_details": null,
"total_tokens": 363
} |
[
{
"content": "Q: What opening brackets should precede \">}⟨⟩){}>⟨⟩>⟩⟩<>⟩())>>()⟩⟩}⟩})>}}\" to form a valid bracket sequence?\n\nRequirements:\n- Use exactly the brackets needed (no more, no less)\n- Maintain proper nesting order\n\nPlease provide your final answer (the entire resulting sequence) in backticks li... | 109,821,444 | 509,821,444 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": 20,
"full_sequence": "{{<({⟨{⟨⟨<<(⟨⟨⟨<<({<>}⟨⟩){}>⟨⟩>⟩⟩<>⟩())>>()⟩⟩}⟩})>}}",
"generation_error": null,
"generati... | dyck_language2 | {
"completion_tokens": 1595,
"completion_tokens_details": null,
"prompt_tokens": 86,
"prompt_tokens_details": null,
"total_tokens": 1681
} |
[
{
"content": "Given [8, 9, 11, 12, 13], use the operations ['+', '-', '*'] to obtain 100.\n\nAt the end of your response, please output a ```python code block. The code block should contain only a single expression representing the answer, which can be directly evaluated using Python's eval() function. If there... | 61,597,983 | 161,597,983 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": null,
"full_sequence": null,
"generation_error": null,
"generation_failed": null,
"generation_traceback": null... | game_of_24 | {
"completion_tokens": 4846,
"completion_tokens_details": null,
"prompt_tokens": 99,
"prompt_tokens_details": null,
"total_tokens": 4945
} |
[
{
"content": "Numbers: [1, 2, 4, 9], operators: ['+', '-'], target: 36.\n\nAt the end of your response, please output a ```python code block. The code block should contain only a single expression representing the answer, which can be directly evaluated using Python's eval() function. If there is no solution, p... | 82,762,781 | 182,762,781 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": null,
"full_sequence": null,
"generation_error": null,
"generation_failed": null,
"generation_traceback": null... | game_of_24 | {
"completion_tokens": 1767,
"completion_tokens_details": null,
"prompt_tokens": 91,
"prompt_tokens_details": null,
"total_tokens": 1858
} |
[
{
"content": "解决密码算术谜题：GFUU + G * TYU = YYYFY（其中GFUU是4位数、G是1位数、TYU是3位数、YYYFY是5位数），其中每个字母表示0-9之间的一个数字，不同字母代表不同数字。请计算出使等式成立的数字等式。 请在回答的最后一行使用以下格式：答案是 $YOUR_ANSWER。$YOUR_ANSWER 应该是替换为数字后的等式。",
"reasoning_content": null,
"role": "user"
},
{
"content": "根据密码算术谜题的条件，通过分析个位相加的模10关系，得出可能的(G, U)组合为(2,7)、... | 68,261,903 | 368,261,903 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": {
"A": null,
"B": null,
"C": null,
"D": null,
"E": null,
"F": 5,
"G": 8,
"H": null,
"I": null,
"J": null,
"K": null,
"L": null,
"M": null,
"N": null,
"O": null,
"P": null,
... | cryptarithm | {
"completion_tokens": 4841,
"completion_tokens_details": null,
"prompt_tokens": 118,
"prompt_tokens_details": null,
"total_tokens": 4959
} |
[
{
"content": "Complete the following Dyck language sequence by adding the minimal necessary opening brackets at the beginning.\n\nSuffix: ⟩}>⟧>}]⦄)⟧⟩⟩}⟩\n\nRules:\n- Add only the opening brackets needed to match all unmatched closing brackets\n- The opening brackets should be prepended to form a valid sequence\... | 118,868,519 | 518,868,519 | {
"closing_sequence": null,
"depth": null,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": null,
"fill_length": 14,
"full_sequence": "⟨{⟨⟨⟦(⦃[{<⟦<{⟨⟩}>⟧>}]⦄)⟧⟩⟩}⟩",
"generation_error": null,
"generation_failed": null,
"gen... | dyck_language2 | {
"completion_tokens": 988,
"completion_tokens_details": null,
"prompt_tokens": 106,
"prompt_tokens_details": null,
"total_tokens": 1094
} |
[
{
"content": "Here are some boolean expressions to evaluate:\n\nA. (((The 1936 Olympics were held in Athens.) and (not not (There are 30 days in May.)) and (New Zealand is in Oceania.)) or ((not (((-4 * 2 + -5 * -2) < (35 % 1)) or ((17 + 8) > (-4 * 12)))) and ((-20 - 5) <= (-2 - -2)))) or (not not (((-6 * -10 +... | 87,020,451 | 687,020,451 | {
"closing_sequence": null,
"depth": 5,
"difficulty": null,
"digit_map": null,
"dyck_sequence": null,
"error_indices": null,
"expression": null,
"expressions": [
[
"(((The 1936 Olympics were held in Athens.) and (not not (There are 30 days in May.)) and (New Zealand is in Oceania.)) or ((not (... | boolean_expressions | {
"completion_tokens": 2654,
"completion_tokens_details": null,
"prompt_tokens": 1140,
"prompt_tokens_details": null,
"total_tokens": 3794
} |
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