env stringclasses 1
value | prompt stringlengths 119 673 | extra dict |
|---|---|---|
logic-v2 | Define ♡, the rules are as follows:
when y is even, x ♡ y = (y * x - x) * y - y;
otherwise, x ♡ y = x - y - y - y - y.
and ⊙, the rules are as follows:
when x and y are both even, x ⊙ y = y ♡ (x + y / y);
otherwise, x ⊙ y = x / 3 * y ♡ 3 + 3.
The precedence of operations: ♡ > ** > * = / = % = ⊙ > + = -。
Parenth... | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ♡ 3 ⊙ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | 定义 ⊙，规则如下：
当x和y的和是奇数时，x ⊙ y = x - abs(x + y)；
其他情况下，x ⊙ y = y + x - x / x。
和 △，规则如下：
实数域上，x △ y = x - x - x * y。
和 ☆，规则如下：
当x小于y时，x ☆ y = y / y * x；
其他情况下，x ☆ y = y ⊙ y * y + x。
运算优先级：⊙ > ☆ > ** > * = / = % > + = - = △。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ☆ 2 ⊙ 2 △ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-21",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ☆ 2 ⊙ 2 △ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = y * x - 3 - y - y.
and ◎, the rules are as follows:
when x and y are both even, x ◎ y = y / x - y - x * x;
otherwise, x ◎ y = y * x + y + 2.
The precedence of operations: ** = ♡ > * = / = % > + = - = ◎。
Parentheses have the highest priority, an... | {
"game_data": {
"answer": "-8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♡ 1 ◎ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | Define △, the rules are as follows:
on the real number field, x △ y = x - y + y.
The precedence of operations: △ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 5
Please fill your final answer... | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ♢, the rules are as follows:
when x is less than y, x ♢ y = x + y + y - y + y;
otherwise, x ♢ y = 3 + x + 3 * x + y.
and ⊕, the rules are as follows:
when y is a multiple of 5, x ⊕ y = x * x - (y);
otherwise, x ⊕ y = y - y - x.
and ○, the rules are as follows:
on the real number field, x ○ y = y + y + ... | {
"game_data": {
"answer": "-504",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ○ 4 ○ 7 ♢ 5 ⊕ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | 定义 ◇，规则如下：
实数域上，x ◇ y = y - y / x。
运算优先级：◇ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ◇ 6 / 6 / 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◇ 6 / 6 / 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = y * x.
and ☆, the rules are as follows:
when x is odd, x ☆ y = x - y / (4);
otherwise, x ☆ y = y + y - x.
The precedence of operations: ☆ > ** > * = / = % > + = - = ♡。
Parentheses have the highest priority, and the expression inside the parenth... | {
"game_data": {
"answer": "12",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ☆ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ◇, the rules are as follows:
when x and y are both odd, x ◇ y = 1 + y / y + x;
otherwise, x ◇ y = y + (3 - x - y).
The precedence of operations: ◇ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the ... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ○，规则如下：
当y是5的倍数时，x ○ y = y + x * abs(x + x)；
其他情况下，x ○ y = y * 4 + x * x - x。
运算优先级：○ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 ○ 1 + 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ○ 1 + 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = y - y - x - x + y.
and ◇, the rules are as follows:
when x is odd, x ◇ y = x + x + x - x - y;
otherwise, x ◇ y = y - x ♢ y + 1.
and ○, the rules are as follows:
when x is less than y, x ○ y = x / y ◇ 4 + y;
otherwise, x ○ y = y * x / 5 - y ... | {
"game_data": {
"answer": "-1.333333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♢ 6 ◇ 6 ○ 6 * 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ♢，规则如下：
当x和y的和是偶数时，x ♢ y = y * x * x；
其他情况下，x ♢ y = y + x + 4 + 1。
和 ○，规则如下：
实数域上，x ○ y = y - y - x。
和 ⊙，规则如下：
实数域上，x ⊙ y = x + x - y ○ y。
运算优先级：♢ > ** = ⊙ > * = / = % > + = - = ○。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ♢ 3 ⊙ 7 - 5 ○ 4 ** 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♢ 3 ⊙ 7 - 5 ○ 4 ** 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define △, the rules are as follows:
when y is a multiple of 3, x △ y = (y) + 3 - x - x;
otherwise, x △ y = x * 4 - 3 + y.
The precedence of operations: △ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the ... | {
"game_data": {
"answer": "43",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 △ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth"... |
logic-v2 | 定义 ▽，规则如下：
当x和y的和是奇数时，x ▽ y = y + x；
其他情况下，x ▽ y = x / y ** (x)。
运算优先级：▽ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 / 7 ▽ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "312.428571",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 / 7 ▽ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = x + (y).
and ♡, the rules are as follows:
when x is greater than y, x ♡ y = (y) ⊕ x * 4;
otherwise, x ♡ y = x ⊕ y + y.
and ⊙, the rules are as follows:
when x and y are both odd, x ⊙ y = x - x * y;
otherwise, x ⊙ y = y * x + y.
The preceden... | {
"game_data": {
"answer": "212",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊕ 6 ⊙ 7 ♡ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | 定义 ⊕，规则如下：
实数域上，x ⊕ y = y - y + x + 5。
和 △，规则如下：
实数域上，x △ y = x * y - x - x。
和 ◎，规则如下：
实数域上，x ◎ y = y + 2 * y - x。
运算优先级：** = ⊕ > * = / = % = △ = ◎ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 △ 7 ◎ 3 ⊕ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 7 ◎ 3 ⊕ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | Define ☆, the rules are as follows:
when x and y are both even, x ☆ y = (y / x);
otherwise, x ☆ y = x / x + y.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = (y ☆ x).
The precedence of operations: ☆ > ** > * = / = % = ⊕ > + = -。
Parentheses have the highest priority, and the expression inside ... | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ** 4 ☆ 4 % 8 ⊕ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | Define ◇, the rules are as follows:
on the real number field, x ◇ y = y / x - y.
The precedence of operations: ** = ◇ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 6
Please fill your final answer... | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ♡，规则如下：
实数域上，x ♡ y = y - x + y。
和 ⊕，规则如下：
实数域上，x ⊕ y = x ♡ x / y * y。
运算优先级：♡ > ** > * = / = % > + = - = ⊕。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 ⊕ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊕ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": ... |
logic-v2 | Define ⊗, the rules are as follows:
when x is a multiple of 5, x ⊗ y = y + x - y + y + x;
otherwise, x ⊗ y = y + y - y + x * y.
and □, the rules are as follows:
when x is a multiple of 3, x □ y = x + y * x * y ⊗ x;
otherwise, x □ y = y + y * (y - x).
and ▽, the rules are as follows:
on the real number field, x ... | {
"game_data": {
"answer": "938",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊗ 8 □ 9 ▽ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = x / y / y + y.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = x * 3 ⊙ (1 / y).
and △, the rules are as follows:
when the sum of x and y is odd, x △ y = y ⊕ 3 + 1 + x;
otherwise, x △ y = y * y / x ⊕ x.
The precedence of ope... | {
"game_data": {
"answer": "0.658982",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 / 6 ⊕ 10 △ 6 ⊙ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = x - y + (x) + x - 2.
and □, the rules are as follows:
when x is less than y, x □ y = (x - x + y);
otherwise, x □ y = x * y + y ⊙ y + y.
and ♡, the rules are as follows:
on the real number field, x ♡ y = (3 + x + y) - 3.
The precedence of oper... | {
"game_data": {
"answer": "14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 □ 8 ⊙ 10 ♡ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = y + y / x ** abs(x) * x.
and ⊕, the rules are as follows:
when x and y are both odd, x ⊕ y = x + (4 * x) * y;
otherwise, x ⊕ y = x / 2 / y ⊙ y * x.
and △, the rules are as follows:
when x is a multiple of 3, x △ y = x - y * y ⊙ y;
otherwise, ... | {
"game_data": {
"answer": "0.985955",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 / 5 △ 4 ⊕ 9 ⊙ 1 % 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define □, the rules are as follows:
when x and y are both odd, x □ y = y - x * x + x - y;
otherwise, x □ y = abs(x * x - y - y) / y.
and ☆, the rules are as follows:
when x is a multiple of 5, x ☆ y = (x □ x) * x * y;
otherwise, x ☆ y = x - y + x * x.
The precedence of operations: ** = □ > * = / = % > + = - = ☆... | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ☆ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": ... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = x - x - 1 * y。
和 △，规则如下：
实数域上，x △ y = x - x + y ** x。
运算优先级：□ > ** = △ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 □ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 □ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 □，规则如下：
当x是3的倍数时，x □ y = x * y - x - y；
其他情况下，x □ y = y / x。
和 ◎，规则如下：
实数域上，x ◎ y = 2 * 2 □ y + x。
运算优先级：◎ > ** > * = / = % > + = - = □。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 □ 10 ◎ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1.916667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 □ 10 ◎ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | 定义 ◇，规则如下：
当y是偶数时，x ◇ y = x / x + y + x / x；
其他情况下，x ◇ y = abs(x + 4 / x) * y。
运算优先级：◇ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 * 2 / 9 ◇ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2.117647",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 * 2 / 9 ◇ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"... |
logic-v2 | Define ○, the rules are as follows:
on the real number field, x ○ y = x - 4 + y.
and ♢, the rules are as follows:
on the real number field, x ♢ y = y + y + (x - 1 - x).
and ☆, the rules are as follows:
when x is a multiple of 5, x ☆ y = x * y + y * (y);
otherwise, x ☆ y = x + y * y + x.
The precedence of operat... | {
"game_data": {
"answer": "209",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 + 4 ♢ 3 ☆ 10 ○ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | Define □, the rules are as follows:
on the real number field, x □ y = y + y + x.
and ⊕, the rules are as follows:
when x is equal to y, x ⊕ y = x * x / y - x - y;
otherwise, x ⊕ y = 4 / x * y / x + x.
The precedence of operations: ** > * = / = % = □ = ⊕ > + = -。
Parentheses have the highest priority, and the expr... | {
"game_data": {
"answer": "15.354086",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 □ 1 ⊕ 2 □ 5 ⊕ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | 定义 ◇，规则如下：
实数域上，x ◇ y = 2 * 2 + x / y + x。
运算优先级：** > * = / = % > + = - = ◇。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define □, the rules are as follows:
when x is less than y, x □ y = x - y - x;
otherwise, x □ y = x - 4 * y.
and ▽, the rules are as follows:
on the real number field, x ▽ y = 5 * x - y.
The precedence of operations: ** = □ > * = / = % > + = - = ▽。
Parentheses have the highest priority, and the expression inside t... | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 % 1 * 4 ▽ 7 □ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = y - x * x.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = y + x ♡ x.
and ▽, the rules are as follows:
on the real number field, x ▽ y = y + x * x.
The precedence of operations: ⊗ = ▽ > ** = ♡ > * = / = % > + = -。
Parentheses... | {
"game_data": {
"answer": "-1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ♡ 4 ⊗ 7 ▽ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | 定义 ◎，规则如下：
当x是偶数时，x ◎ y = y + x；
其他情况下，x ◎ y = y - 2 + 5 ** 4 / x。
和 ⊗，规则如下：
实数域上，x ⊗ y = y + y * 3 ◎ x + x。
运算优先级：◎ = ⊗ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 * 2 ◎ 6 ⊗ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "13845.333333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 * 2 ◎ 6 ⊗ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = y * x + y。
运算优先级：** = △ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ▽, the rules are as follows:
on the real number field, x ▽ y = x - 4 - 4 + y.
The precedence of operations: ** > * = / = % > + = - = ▽。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 9 ▽ 7 * 1 - 7
Please fill y... | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ▽ 7 * 1 - 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | 定义 ◇，规则如下：
当x是3的倍数时，x ◇ y = y - abs(y - x)；
其他情况下，x ◇ y = x + y - y。
运算优先级：** > * = / = % = ◇ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 ◇ 3 * 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◇ 3 * 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | Define □, the rules are as follows:
when x is equal to y, x □ y = x + y - x + y;
otherwise, x □ y = x / y * x + 4.
and ⊗, the rules are as follows:
when x and y are both odd, x ⊗ y = y ** x □ x + 2;
otherwise, x ⊗ y = 3 / x * x * y.
The precedence of operations: ** = □ > * = / = % > + = - = ⊗。
Parentheses have ... | {
"game_data": {
"answer": "4.111111",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 □ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = x * x - y / y - y.
and ○, the rules are as follows:
on the real number field, x ○ y = y + x ⊙ x - y - y.
and △, the rules are as follows:
on the real number field, x △ y = 5 + y - x ⊙ x.
The precedence of operations: ** = ⊙ = ○ > * = / = % > + ... | {
"game_data": {
"answer": "-27713",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ○ 6 ⊙ 1 △ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | Define ○, the rules are as follows:
on the real number field, x ○ y = 3 * y + abs(x).
The precedence of operations: ** > * = / = % > + = - = ○。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 4 - 7 ○ 1 ○ 4
Please fill ... | {
"game_data": {
"answer": "18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 - 7 ○ 1 ○ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define ◇, the rules are as follows:
when y is a multiple of 3, x ◇ y = y / y / y + x * y;
otherwise, x ◇ y = abs(x - y * y).
The precedence of operations: ** > * = / = % > + = - = ◇。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of t... | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": null... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = x ** (y + 5).
and □, the rules are as follows:
on the real number field, x □ y = y + (x + x).
The precedence of operations: ◎ > □ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calcul... | {
"game_data": {
"answer": "82354.55",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◎ 2 □ 5 / 4 / 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define □, the rules are as follows:
on the real number field, x □ y = x + 1 + y * y - x.
and ♡, the rules are as follows:
when x and y are both odd, x ♡ y = x - y * x + 2;
otherwise, x ♡ y = x / y + y.
The precedence of operations: ♡ > ** > * = / = % = □ > + = -。
Parentheses have the highest priority, and the exp... | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 % 7 ♡ 2 * 3 □ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | 定义 ♢，规则如下：
实数域上，x ♢ y = 1 - abs(4 / y - x)。
和 ⊕，规则如下：
当x等于y时，x ⊕ y = (x - y + 3) * x；
其他情况下，x ⊕ y = 4 - x * x ♢ y + x。
和 ▽，规则如下：
实数域上，x ▽ y = y * x - y。
运算优先级：⊕ = ▽ > ** = ♢ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 ▽ 1 ⊕ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ▽ 1 ⊕ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ▽，规则如下：
实数域上，x ▽ y = x - x / y - y + x。
运算优先级：▽ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 + 2 - 8 ▽ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 + 2 - 8 ▽ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | Define ◇, the rules are as follows:
on the real number field, x ◇ y = y + y - x + x.
The precedence of operations: ** > * = / = % > + = - = ◇。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 10 ◇ 1
Please fill your fin... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ◇ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 □，规则如下：
当x和y都是偶数时，x □ y = x + y + y；
其他情况下，x □ y = x + y * y。
和 ☆，规则如下：
实数域上，x ☆ y = y + x + x。
运算优先级：** > * = / = % = □ = ☆ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 + 8 ☆ 6 □ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "35",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 + 8 ☆ 6 □ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | Define ◇, the rules are as follows:
when y is even, x ◇ y = x * y / y * x - x;
otherwise, x ◇ y = y + x - x.
The precedence of operations: ** > * = / = % > + = - = ◇。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression: 8... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◇ 2 - 3 ◇ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | Define □, the rules are as follows:
when x is odd, x □ y = (y + 1) * y + x;
otherwise, x □ y = (y / x).
and ♡, the rules are as follows:
when x is greater than y, x ♡ y = x * x + (y);
otherwise, x ♡ y = abs(x * y + x).
The precedence of operations: ♡ > ** > * = / = % = □ > + = -。
Parentheses have the highest pr... | {
"game_data": {
"answer": "0.173077",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♡ 3 □ 9 % 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | Define ◎, the rules are as follows:
when x and y are both odd, x ◎ y = abs(x - 5 + x + y);
otherwise, x ◎ y = y + x * x.
and ♡, the rules are as follows:
when x is greater than y, x ♡ y = y * x + x + x;
otherwise, x ♡ y = y * x - abs(2 ** 1).
The precedence of operations: ** = ◎ > * = / = % > + = - = ♡。
Parenth... | {
"game_data": {
"answer": "142",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ♡ 7 ◎ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ⊗，规则如下：
当y是奇数时，x ⊗ y = y + x * 5；
其他情况下，x ⊗ y = 4 - abs(y + x) ** 3 + x。
和 ○，规则如下：
实数域上，x ○ y = y + x。
运算优先级：** = ⊗ = ○ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 ⊗ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊗ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ⊗, the rules are as follows:
when the sum of x and y is odd, x ⊗ y = y - y * x - y;
otherwise, x ⊗ y = 4 * y + x - y.
The precedence of operations: ** > * = / = % = ⊗ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of t... | {
"game_data": {
"answer": "18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊗ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ▽, the rules are as follows:
when the sum of x and y is odd, x ▽ y = y / x - 5 * y;
otherwise, x ▽ y = x * y.
The precedence of operations: ** > * = / = % = ▽ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expre... | {
"game_data": {
"answer": "-4.998047",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ** 3 ▽ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | 定义 ○，规则如下：
当x是5的倍数时，x ○ y = x - x / x - x + y；
其他情况下，x ○ y = x * y * y * 5 - x。
运算优先级：○ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 ○ 10 + 8 - 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1997",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ○ 10 + 8 - 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | Define ⊗, the rules are as follows:
when x is equal to y, x ⊗ y = x + y - x / x / 2;
otherwise, x ⊗ y = y + abs(x - y + x * y).
and ☆, the rules are as follows:
when x and y are both even, x ☆ y = x ⊗ y - x + 1 - 4;
otherwise, x ☆ y = 1 ⊗ x - 4 * 3 ** y.
and △, the rules are as follows:
on the real number field... | {
"game_data": {
"answer": "5092",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ☆ 4 △ 9 ⊗ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | Define ☆, the rules are as follows:
on the real number field, x ☆ y = x * x - y.
and ◎, the rules are as follows:
when x is a multiple of 3, x ◎ y = y ☆ (x - y);
otherwise, x ◎ y = x * x - abs(y).
The precedence of operations: ◎ > ** > * = / = % = ☆ > + = -。
Parentheses have the highest priority, and the expressi... | {
"game_data": {
"answer": "-3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ☆ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ☆, the rules are as follows:
on the real number field, x ☆ y = x * 4 * 1 ** 3 / y.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = y + x - x * 5 ☆ x.
The precedence of operations: ** = ⊗ > * = / = % > + = - = ☆。
Parentheses have the highest priority, and the expression inside the parenthes... | {
"game_data": {
"answer": "-15.6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊗ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ♡, the rules are as follows:
when y is a multiple of 5, x ♡ y = 3 - 2 * x - y;
otherwise, x ♡ y = 3 * x - y + x.
and ⊗, the rules are as follows:
when the sum of x and y is odd, x ⊗ y = (x - y) ** x - y;
otherwise, x ⊗ y = y * x * 3 ♡ x.
The precedence of operations: ♡ > ** > * = / = % > + = - = ⊗。
Paren... | {
"game_data": {
"answer": "-150",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♡ 9 ⊗ 3 * 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = x * x + x + y。
和 ☆，规则如下：
实数域上，x ☆ y = y * x。
运算优先级：⊙ > ** > * = / = % > + = - = ☆。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 * 4 ⊙ 7 ☆ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "756",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 * 4 ⊙ 7 ☆ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = x - y * y - y。
和 ⊕，规则如下：
当x是5的倍数时，x ⊕ y = y - x / x * y * x；
其他情况下，x ⊕ y = 1 □ x + y - 5 * x。
运算优先级：** = ⊕ > * = / = % = □ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 □ 10 ⊕ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-5111",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 □ 10 ⊕ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | 定义 ◇，规则如下：
实数域上，x ◇ y = x + y - x + 1。
和 □，规则如下：
实数域上，x □ y = y ◇ x + y。
运算优先级：◇ > □ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 2 + 10 □ 2 ◇ 10 - 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "19",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 + 10 □ 2 ◇ 10 - 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | 定义 ⊗，规则如下：
当x等于y时，x ⊗ y = y * x + x；
其他情况下，x ⊗ y = x - y * y。
和 ⊙，规则如下：
当x小于y时，x ⊙ y = x - y ⊗ x；
其他情况下，x ⊙ y = y / x。
和 ▽，规则如下：
实数域上，x ▽ y = y + x。
运算优先级：⊗ > ** > * = / = % = ▽ > + = - = ⊙。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ⊙ 2 ⊗ 8 - 5 ▽ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-19.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊙ 2 ⊗ 8 - 5 ▽ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define ○, the rules are as follows:
when x is a multiple of 5, x ○ y = y ** abs(x) - 3;
otherwise, x ○ y = x + y.
The precedence of operations: ○ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expressi... | {
"game_data": {
"answer": "576",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 * 9 * 6 ○ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = y + x.
and □, the rules are as follows:
when the sum of x and y is odd, x □ y = x / y;
otherwise, x □ y = x + y.
The precedence of operations: ** = ♡ > * = / = % = □ > + = -。
Parentheses have the highest priority, and the expression inside the ... | {
"game_data": {
"answer": "17.375",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 □ 8 □ 8 ♡ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | 定义 ⊙，规则如下：
当x大于y时，x ⊙ y = x * 2 + y；
其他情况下，x ⊙ y = x - 4 + y。
和 ◇，规则如下：
实数域上，x ◇ y = y * (y + x)。
和 ◎，规则如下：
实数域上，x ◎ y = abs(y) - x - x。
运算优先级：** = ◇ > * = / = % = ⊙ > + = - = ◎。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 ◇ 4 ◎ 2 ⊙ 9 / 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-102.25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◇ 4 ◎ 2 ⊙ 9 / 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = x + x + y.
and △, the rules are as follows:
when y is a multiple of 5, x △ y = 5 ** y ** 4 ♢ x;
otherwise, x △ y = x - y * x + 4.
and ▽, the rules are as follows:
when y is a multiple of 5, x ▽ y = x / y - x ♢ y;
otherwise, x ▽ y = x - (3 *... | {
"game_data": {
"answer": "37",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ♢ 9 △ 2 ▽ 5 ♢ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = 2 - x + y * y.
and ◎, the rules are as follows:
when y is a multiple of 3, x ◎ y = y - x + x * x;
otherwise, x ◎ y = x * y / 2.
and ○, the rules are as follows:
on the real number field, x ○ y = x + y * 5 ◎ 4.
The precedence of operations: ⊕ ... | {
"game_data": {
"answer": "297",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◎ 3 ⊕ 10 + 8 ○ 7 * 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define △, the rules are as follows:
when y is a multiple of 3, x △ y = 1 - 1 / x - y - 5;
otherwise, x △ y = y + y + 2 - x * x.
The precedence of operations: △ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value o... | {
"game_data": {
"answer": "-13",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 △ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth"... |
logic-v2 | 定义 ☆，规则如下：
当y是奇数时，x ☆ y = x * y；
其他情况下，x ☆ y = 4 ** x - y。
和 ♡，规则如下：
实数域上，x ♡ y = x / y。
运算优先级：** = ☆ = ♡ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 ♡ 5 * 8 ☆ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "112",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♡ 5 * 8 ☆ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | Define ◎, the rules are as follows:
on the real number field, x ◎ y = x ** x - y - x.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = x - 3 - y * 4.
The precedence of operations: ** = ◎ = ⊕ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is ca... | {
"game_data": {
"answer": "280",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊕ 9 ◎ 1 * 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | 定义 ○，规则如下：
当x小于y时，x ○ y = x * 1 * x - y；
其他情况下，x ○ y = y + y + x。
运算优先级：○ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 ○ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "19",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ○ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | Define ♡, the rules are as follows:
when y is a multiple of 5, x ♡ y = y - 4 - y * 5 + x;
otherwise, x ♡ y = y * x + 2 * x * y.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = (x - y ♡ x) - 2.
The precedence of operations: ⊙ > ** = ♡ > * = / = % > + = -。
Parentheses have the highest priority, a... | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊙ 2 ♡ 10 % 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = 3 + y * x。
和 ▽，规则如下：
当x是奇数时，x ▽ y = x * x - y；
其他情况下，x ▽ y = y - x □ x。
运算优先级：▽ > ** = □ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 7 □ 3 / 7 ▽ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 □ 3 / 7 ▽ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | Define ◇, the rules are as follows:
when the sum of x and y is odd, x ◇ y = x - x + y;
otherwise, x ◇ y = x / y + y.
The precedence of operations: ** > * = / = % > + = - = ◇。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expre... | {
"game_data": {
"answer": "5.333333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◇ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = y - x + x.
and ○, the rules are as follows:
when x is less than y, x ○ y = y ** x - y;
otherwise, x ○ y = x ** y ♢ x.
and ♡, the rules are as follows:
on the real number field, x ♡ y = x + x ** y.
The precedence of operations: ** = ♢ > * = / ... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ○ 8 ♡ 3 ♢ 4 / 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | 定义 ○，规则如下：
实数域上，x ○ y = x + y / abs(y) * 2。
运算优先级：** > * = / = % = ○ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 ○ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "11",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ○ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth":... |
logic-v2 | 定义 ◇，规则如下：
当x小于y时，x ◇ y = y * (x * 2) * y - y；
其他情况下，x ◇ y = 2 - x + 3 + y * 3。
运算优先级：** = ◇ > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": null... |
logic-v2 | 定义 ◇，规则如下：
当x是3的倍数时，x ◇ y = x + x - y + x；
其他情况下，x ◇ y = y + x + abs(x - x) * y。
运算优先级：** > * = / = % = ◇ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 3 ◇ 4 + 6 * 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "35",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◇ 4 + 6 * 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | 定义 ⊙，规则如下：
当x和y的和是奇数时，x ⊙ y = x + y；
其他情况下，x ⊙ y = (y) + x。
和 ⊗，规则如下：
实数域上，x ⊗ y = y + (x / x)。
和 ◇，规则如下：
实数域上，x ◇ y = (x ** y) / x。
运算优先级：⊙ > ** > * = / = % = ⊗ = ◇ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 ⊙ 6 ◇ 9 ⊗ 5 / 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊙ 6 ◇ 9 ⊗ 5 / 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = (x + 3 * y).
and ▽, the rules are as follows:
on the real number field, x ▽ y = y - x * y.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = x / y ⊙ x.
The precedence of operations: ⊙ > ▽ > ** > * = / = % > + = - = ⊗。
Parenthes... | {
"game_data": {
"answer": "0.387097",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊙ 1 ▽ 2 ⊗ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | 定义 ⊕，规则如下：
当x和y都是偶数时，x ⊕ y = x / x + x + y + x；
其他情况下，x ⊕ y = y - y ** y - x。
和 ⊗，规则如下：
当y是3的倍数时，x ⊗ y = 4 + 2 - x - y * y；
其他情况下，x ⊗ y = 2 * y + x ⊕ (1 * x)。
和 □，规则如下：
当x和y的和是偶数时，x □ y = x ⊕ 5 - 4 - y * 1；
其他情况下，x □ y = y - y + y + y + x。
运算优先级：** = ⊗ > * = / = % = ⊕ = □ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表... | {
"game_data": {
"answer": "-44",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊕ 7 ⊗ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ○，规则如下：
当x小于y时，x ○ y = y * x；
其他情况下，x ○ y = x + y + y。
运算优先级：○ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 * 6 ○ 7 / 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "33.6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 * 6 ○ 7 / 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | 定义 ♢，规则如下：
当x和y的和是偶数时，x ♢ y = x + y；
其他情况下，x ♢ y = abs(1 * x * y)。
和 ♡，规则如下：
当x和y的和是偶数时，x ♡ y = (x - 5 * y)；
其他情况下，x ♡ y = x + y。
和 ⊙，规则如下：
实数域上，x ⊙ y = y * x / y。
运算优先级：⊙ > ** = ♡ > * = / = % > + = - = ♢。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 5 ⊙ 7 ♡ 5 ♡ 9 ♢ 7 + 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "142",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊙ 7 ♡ 5 ♡ 9 ♢ 7 + 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define △, the rules are as follows:
when x and y are both even, x △ y = x - y * y;
otherwise, x △ y = (x) + y.
The precedence of operations: △ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expression:... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_depth": nu... |
logic-v2 | 定义 △，规则如下：
当x等于y时，x △ y = y + x；
其他情况下，x △ y = x * y + x。
运算优先级：△ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 % 7 △ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 % 7 △ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = abs(y + x) + x.
and □, the rules are as follows:
when x is a multiple of 5, x □ y = y + y ♡ (y + x) + x;
otherwise, x □ y = x + y - x - 5.
The precedence of operations: ** = □ > * = / = % = ♡ > + = -。
Parentheses have the highest priority, and ... | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 % 2 □ 9 ♡ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | 定义 □，规则如下：
当x和y的和是奇数时，x □ y = y ** x；
其他情况下，x □ y = x - y * x。
和 ⊕，规则如下：
实数域上，x ⊕ y = x □ 3 - (y)。
运算优先级：⊕ > □ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 1 □ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 □ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": ... |
logic-v2 | 定义 △，规则如下：
当x是奇数时，x △ y = y + y + x + y * x；
其他情况下，x △ y = y / 4 - y - x + x。
运算优先级：△ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 △ 3 △ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 △ 3 △ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = y + (x + x - x)。
和 △，规则如下：
当y是偶数时，x △ y = y ** x + x；
其他情况下，x △ y = 5 ⊙ (2 / y * x)。
和 ○，规则如下：
实数域上，x ○ y = y * (x) + 1。
运算优先级：⊙ > ** > * = / = % = ○ > + = - = △。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 6 △ 6 ○ 6 ⊙ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5.27907",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 △ 6 ○ 6 ⊙ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | Define ♡, the rules are as follows:
when x is greater than y, x ♡ y = x * x * y * x * y;
otherwise, x ♡ y = x + x * 3 - y + y.
and ☆, the rules are as follows:
on the real number field, x ☆ y = x - x + x + y.
The precedence of operations: ♡ > ** > * = / = % = ☆ > + = -。
Parentheses have the highest priority, and ... | {
"game_data": {
"answer": "68",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 * 6 ☆ 2 ♡ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | 定义 ◇，规则如下：
实数域上，x ◇ y = y / y - x。
和 ⊗，规则如下：
实数域上，x ⊗ y = y + y / x。
和 □，规则如下：
实数域上，x □ y = y + x。
运算优先级：◇ > ** = □ > * = / = % = ⊗ > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 □ 6 ◇ 6 ⊗ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 □ 6 ◇ 6 ⊗ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = x + x + y。
和 ♡，规则如下：
当y是奇数时，x ♡ y = x - x - y；
其他情况下，x ♡ y = x + x + y。
运算优先级：□ > ♡ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ♡ 4 □ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "26",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ♡ 4 □ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | Define ▽, the rules are as follows:
when the sum of x and y is odd, x ▽ y = x - x / y;
otherwise, x ▽ y = y - x * x.
The precedence of operations: ▽ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expre... | {
"game_data": {
"answer": "-46",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ▽ 10 + 5 ▽ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | Define ⊗, the rules are as follows:
when the sum of x and y is odd, x ⊗ y = (y) * x;
otherwise, x ⊗ y = x * y + y.
and ♡, the rules are as follows:
when the sum of x and y is even, x ♡ y = y * abs(x);
otherwise, x ♡ y = y * (x * 4).
and □, the rules are as follows:
when x is a multiple of 5, x □ y = x / x * y... | {
"game_data": {
"answer": "162",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 □ 5 % 7 ♡ 8 ⊗ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = y / x.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = x ⊙ y + x.
and ◇, the rules are as follows:
on the real number field, x ◇ y = y - y * x.
The precedence of operations: ⊙ > ** > * = / = % = ⊗ = ◇ > + = -。
Parentheses hav... | {
"game_data": {
"answer": "-12.125",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◇ 2 ⊗ 6 ⊙ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = y - x - y + 1。
和 ○，规则如下：
实数域上，x ○ y = abs(y) + x * y - y。
运算优先级：□ > ** > * = / = % > + = - = ○。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 8 ○ 7 □ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-36",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ○ 7 □ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ⊕，规则如下：
实数域上，x ⊕ y = 3 * y + 2 - x。
和 ⊙，规则如下：
当y是奇数时，x ⊙ y = y ** y - 3 + x；
其他情况下，x ⊙ y = x - y * y - x。
和 ○，规则如下：
当y是5的倍数时，x ○ y = y ⊕ y + x - x；
其他情况下，x ○ y = y ⊕ y + x / x。
运算优先级：○ > ⊙ > ** > * = / = % > + = - = ⊕。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 9 ⊕ 3 ⊙ 5 ○ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-370",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊕ 3 ⊙ 5 ○ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | Define ○, the rules are as follows:
when x and y are both odd, x ○ y = x - y + y;
otherwise, x ○ y = abs(x - x - y).
The precedence of operations: ** = ○ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the expre... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ** 1 ○ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ○，规则如下：
实数域上，x ○ y = x / y。
运算优先级：○ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 ○ 1 * 2 / 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ○ 1 * 2 / 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 ○，规则如下：
实数域上，x ○ y = y + x + x。
运算优先级：○ > ** > * = / = % > + = -。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 10 ○ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ○ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth"... |
logic-v2 | 定义 ▽，规则如下：
当x是偶数时，x ▽ y = 3 + y * x / x；
其他情况下，x ▽ y = (y) * x。
运算优先级：** > * = / = % > + = - = ▽。
括号具有最高优先级，先计算括号内的表达式。
请计算表达式的值: 4 ▽ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ▽ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": ... |
logic-v2 | Define ⊙, the rules are as follows:
when x is even, x ⊙ y = y * y - x;
otherwise, x ⊙ y = x - x + y.
and △, the rules are as follows:
when x is even, x △ y = (x * y) ⊙ y;
otherwise, x △ y = x + y.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = (x) / y △ y.
The precedence of operations: ** ... | {
"game_data": {
"answer": "0.227273",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊙ 3 ⊗ 3 △ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.