env stringclasses 1
value | prompt stringlengths 119 673 | extra dict |
|---|---|---|
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = x + (y - 2) - y。
和 ◇，规则如下：
当x和y都是奇数时，x ◇ y = y + x ⊙ y - 4 * x；
其他情况下，x ◇ y = y + y / x ⊙ y。
和 □，规则如下：
实数域上，x □ y = (x) ⊙ y - 4 - 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 ⊙ 10 □ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-13",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊙ 10 □ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ⊕，规则如下：
实数域上，x ⊕ y = x - 2 * y。
和 ◎，规则如下：
当x和y的和是奇数时，x ◎ y = y - y + x；
其他情况下，x ◎ y = y - y / x。
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: 4 △ 9 ⊕ 8 ◎ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-3.055556",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 9 ⊕ 8 ◎ 2",
"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 = x / y。
和 ◇，规则如下：
实数域上，x ◇ y = 3 + y * x / y。
和 ♡，规则如下：
实数域上，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: 3 ♢ 3 ♡ 2 ◇ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ♢ 3 ♡ 2 ◇ 7",
"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 is greater than y, x ⊗ y = y + y ** y / x;
otherwise, x ⊗ y = x + y + x * y.
and ♡, the rules are as follows:
when x is greater than y, x ♡ y = y ⊗ x + 3 + x;
otherwise, x ♡ y = y + x / y + y.
and ◇, the rules are as follows:
when x is a multiple of 3, x ◇ y = y + y ... | {
"game_data": {
"answer": "83.444444",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♡ 2 ⊗ 5 ◇ 9",
"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 = (y * x)。
和 ▽，规则如下：
当y是5的倍数时，x ▽ y = abs(x) + y + x；
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: 2 ▽ 8 ♡ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "28",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ▽ 8 ♡ 4",
"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 = x + y.
and ◇, the rules are as follows:
on the real number field, x ◇ y = x - y * y.
and ◎, the rules are as follows:
on the real number field, x ◎ y = (y + x - x).
The precedence of operations: ** > * = / = % = ◎ > + = - = ⊙ = ◇。
Parentheses h... | {
"game_data": {
"answer": "-31",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ◇ 6 % 8 ⊙ 7 ◎ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | 定义 ○，规则如下：
当x大于y时，x ○ y = x * x + abs(y) * x；
其他情况下，x ○ y = y * x / y - 5。
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 / 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ○ 5 / 5",
"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 * x + y - y.
and □, the rules are as follows:
when the sum of x and y is even, x □ y = y - x ⊕ x + y - y;
otherwise, x □ y = y + y * y + x.
and ○, the rules are as follows:
when x is less than y, x ○ y = y - x + y - 3 ⊕ x;
otherwise, x ○ y ... | {
"game_data": {
"answer": "-14",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ○ 10 □ 2",
"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 = y * 3 * x。
和 ◎，规则如下：
当x小于y时，x ◎ y = x * x * y；
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: 10 □ 2 ◎ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "840",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 □ 2 ◎ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = x + y。
和 ♡，规则如下：
当x是奇数时，x ♡ y = y * x - x * x；
其他情况下，x ♡ y = y * x。
和 ◎，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 = x ⊙ 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: 2 ⊙ 7 ♡ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "23",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊙ 7 ♡ 10",
"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 = x + y - 5.
and △, the rules are as follows:
on the real number field, x △ y = x / y.
and □, the rules are as follows:
on the real number field, x □ y = x ⊕ x - (y).
The precedence of operations: ⊕ > ** > * = / = % = △ > + = - = □。
Parentheses h... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 □ 7 ⊕ 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 x and y are both even, x □ y = y + x * x - 3 - x;
otherwise, x □ y = abs(x + y - y * x + y).
and ◇, the rules are as follows:
on the real number field, x ◇ y = y * y + x.
The precedence of operations: □ = ◇ > ** > * = / = % > + = -。
Parentheses have the highest priority, a... | {
"game_data": {
"answer": "28",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ◇ 2 □ 3 * 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define □, the rules are as follows:
when x is odd, x □ y = y * x - x;
otherwise, x □ y = y - y - x.
and ⊙, the rules are as follows:
when x is greater than y, x ⊙ y = y □ x * x;
otherwise, x ⊙ y = y + 3 □ x.
The precedence of operations: □ > ** = ⊙ > * = / = % > + = -。
Parentheses have the highest priority, and... | {
"game_data": {
"answer": "810",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 □ 8 □ 2 ⊙ 9",
"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) * y。
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: 9 ♢ 4 □ 2 * 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6480",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ♢ 4 □ 2 * 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = x + 4 * y / y.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = x - y * x + y.
and ▽, the rules are as follows:
on the real number field, x ▽ y = y * y + x * 2.
The precedence of operations: ** = ⊙ > * = / = % = ♢ = ▽ > + = -。... | {
"game_data": {
"answer": "41",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ▽ 7 ⊙ 2 ♢ 10",
"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 - x / x。
和 ○，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 = y + x；
其他情况下，x △ y = abs(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: 3 ○ 2 △ 6 ⊕ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ○ 2 △ 6 ⊕ 7",
"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 = y + x - x。
和 □，规则如下：
当y是偶数时，x □ y = y - 1 - x * x + 1；
其他情况下，x □ y = y + 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 ♡ 1 □ 8 % 10 □ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♡ 1 □ 8 % 10 □ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | Define ♡, the rules are as follows:
when y is a multiple of 3, x ♡ y = y - y - y ** x;
otherwise, x ♡ y = 5 * x / y * x.
and ⊕, the rules are as follows:
when x is a multiple of 3, x ⊕ y = 3 - x ♡ 1 + y;
otherwise, x ⊕ y = x / abs(x * x) - y.
The precedence of operations: ⊕ > ** > * = / = % > + = - = ♡。
Parenth... | {
"game_data": {
"answer": "82810",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊕ 2 ♡ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | Define □, the rules are as follows:
when x is a multiple of 3, x □ y = (y + y) / x;
otherwise, x □ y = y + y + x.
and ◇, the rules are as follows:
on the real number field, x ◇ y = y * abs(x).
The precedence of operations: □ > ** > * = / = % = ◇ > + = -。
Parentheses have the highest priority, and the expression i... | {
"game_data": {
"answer": "133",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 □ 7 ◇ 7",
"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x是奇数时，x ◎ y = y * 3 * x；
其他情况下，x ◎ y = abs(x + y - y)。
和 ⊕，规则如下：
实数域上，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: 10 ⊕ 5 / 1 ◎ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1.25",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊕ 5 / 1 ◎ 4",
"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5的倍数时，x ☆ y = x - x + y + (x)；
其他情况下，x ☆ y = y + (y * x) + y。
和 ⊗，规则如下：
实数域上，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: 7 ☆ 9 ⊗ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "28120",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ☆ 9 ⊗ 5",
"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 = x - 2 + y - 5 + y.
and ⊗, the rules are as follows:
when x is a multiple of 3, x ⊗ y = y - x / y + y;
otherwise, x ⊗ y = x ⊕ y + 3 - y * 1.
and □, the rules are as follows:
when x is odd, x □ y = x - y * 2 - 3 * y;
otherwise, x □ y = 1 + y ... | {
"game_data": {
"answer": "16.857143",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊕ 3 / 7 □ 6 ⊗ 6",
"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 = (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 ▽ 5 % 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ▽ 5 % 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
logic-v2 | Define ⊗, the rules are as follows:
when x and y are both odd, x ⊗ y = x * x + y / x;
otherwise, x ⊗ y = x / x - y ** y ** x.
and ⊙, the rules are as follows:
when y is odd, x ⊙ y = x - x ** x * y;
otherwise, x ⊙ y = x - x - y.
and ○, the rules are as follows:
when x is odd, x ○ y = y + y * y + x;
otherwise, ... | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊙ 6 ○ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = x * x + y ** 5。
和 ○，规则如下：
实数域上，x ○ y = x - x - x * y + 1。
和 ☆，规则如下：
当x小于y时，x ☆ y = x - 3 + x * 4 - y；
其他情况下，x ☆ y = x - 4 * 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 ☆ 2 ⊙ 5 ○ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "87608",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ☆ 2 ⊙ 5 ○ 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 even, x ⊗ y = y - x - y;
otherwise, x ⊗ y = y * x - x.
and ⊙, the rules are as follows:
when x and y are both even, x ⊙ y = x ⊗ y;
otherwise, x ⊙ y = y - x / y.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = y * (1 ⊙ x).
The precedence of opera... | {
"game_data": {
"answer": "30",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊗ 1 ⊕ 3 ⊙ 7",
"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 = y + x * y - x - y。
和 ♢，规则如下：
当x和y都是偶数时，x ♢ y = (y) ⊙ x；
其他情况下，x ♢ y = y ⊙ 2 - x - 5。
和 ○，规则如下：
实数域上，x ○ y = 1 - 4 - x - 1 / 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 ○ 5 ♢ 3 ⊙ 2 ♢ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-11.952381",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ○ 5 ♢ 3 ⊙ 2 ♢ 4",
"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 = x + 5 + y - y。
和 □，规则如下：
当x和y都是偶数时，x □ y = x * y；
其他情况下，x □ y = x * (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: 9 □ 1 ◎ 3 % 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 □ 1 ◎ 3 % 2",
"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 - x。
和 □，规则如下：
当x和y的和是偶数时，x □ y = y * y + x ⊙ y ** y；
其他情况下，x □ y = y + x ⊙ x + y。
和 ◎，规则如下：
实数域上，x ◎ y = x ⊙ 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: 9 □ 8 ◎ 8 ⊙ 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 □ 8 ◎ 8 ⊙ 3",
"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是奇数时，x ○ y = x / y + x + y - x；
其他情况下，x ○ y = y - 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: 9 - 5 ○ 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 - 5 ○ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 △，规则如下：
当x和y的和是奇数时，x △ y = y ** x - y；
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: 5 △ 1 - 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 △ 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 * x + 4 - y + x.
and ▽, 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.
The precedence of operations: ** > * = / = % = ⊕ = ▽ > + = - ... | {
"game_data": {
"answer": "11200",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊕ 4 ○ 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y是奇数时，x ◎ y = y * y * x + x - 2；
其他情况下，x ◎ y = x + y。
和 ▽，规则如下：
实数域上，x ▽ y = 4 ◎ 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: 2 - 8 ◎ 1 ▽ 5 + 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-392",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 - 8 ◎ 1 ▽ 5 + 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = y + 1 + 1 * 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: 10 △ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "19",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 △ 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 odd, x △ y = y + y + x - 4;
otherwise, x △ y = abs(x + y * 5) + 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 expressio... | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9",
"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x和y都是偶数时，x ♡ y = x / x + y；
其他情况下，x ♡ y = (y / x)。
和 ⊙，规则如下：
当x等于y时，x ⊙ y = y / x；
其他情况下，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: 9 ⊙ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6.8",
"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 x is a multiple of 5, x □ y = abs(x - y * 3);
otherwise, x □ y = x + y - y.
and ☆, the rules are as follows:
when x is equal to y, x ☆ y = y □ x;
otherwise, x ☆ y = abs(x + y + y).
The precedence of operations: □ > ** > * = / = % = ☆ > + = -。
Parentheses have the highest... | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ☆ 1",
"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 * y - x - 3) - y.
and ♡, the rules are as follows:
on the real number field, x ♡ y = abs(y + x).
The precedence of operations: ** > * = / = % = ♡ > + = - = □。
Parentheses have the highest priority, and the expression inside the parentheses is ... | {
"game_data": {
"answer": "32",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 □ 5 ♡ 8",
"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 * x).
and ◇, the rules are as follows:
on the real number field, x ◇ y = x + y.
and ◎, the rules are as follows:
when x and y are both even, x ◎ y = y + x;
otherwise, x ◎ y = y + x.
The precedence of operations: ⊗ > ** > * = / = % = ◎ ... | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ◇ 2 ◎ 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:
on the real number field, x ♡ y = abs(x * y).
and ☆, the rules are as follows:
when x is even, x ☆ y = (y ♡ x) + x;
otherwise, x ☆ y = x ♡ y + y.
The precedence of operations: ♡ > ** > * = / = % > + = - = ☆。
Parentheses have the highest priority, and the expression inside the p... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ☆ 4 % 1 ♡ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_... |
logic-v2 | Define □, the rules are as follows:
on the real number field, x □ y = x + y - x * y + y.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = y + y □ x - x * x.
The precedence of operations: ** > * = / = % = □ = ⊕ > + = -。
Parentheses have the highest priority, and the expression inside the parenthese... | {
"game_data": {
"answer": "-337",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 □ 4 ⊕ 3 - 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ⊙，规则如下：
当x小于y时，x ⊙ y = y / 5 - 5 - x；
其他情况下，x ⊙ y = (y - x - y)。
和 ⊗，规则如下：
实数域上，x ⊗ y = x ⊙ y * x。
和 △，规则如下：
实数域上，x △ y = x * y * (1 + 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 △ 2 ⊙ 9 ⊗ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-12140.8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 △ 2 ⊙ 9 ⊗ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | Define ♢, the rules are as follows:
when x is even, x ♢ y = (y) + y * x;
otherwise, x ♢ y = y * x.
and □, 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 □ x * y.
The precedence of operations: □ > △ > ** = ♢ > * = / = % > + ... | {
"game_data": {
"answer": "2035",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 □ 6 + 10 △ 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 = y / y * x.
and ▽, the rules are as follows:
on the real number field, x ▽ y = y - y / x.
The precedence of operations: ♡ > ** > * = / = % > + = - = ▽。
Parentheses have the highest priority, and the expression inside the parentheses is calculated ... | {
"game_data": {
"answer": "5.333333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ♡ 8 ▽ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | Define △, the rules are as follows:
when x is less than y, x △ y = abs(x - y ** y);
otherwise, x △ y = abs(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 ex... | {
"game_data": {
"answer": "16382",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 △ 4 / 4",
"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 = y * 1 / y / x。
和 ⊗，规则如下：
实数域上，x ⊗ y = abs(x * x * x) + y。
和 ▽，规则如下：
实数域上，x ▽ 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: 8 ⊗ 10 ▽ 4 ⊙ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-0.000479",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊗ 10 ▽ 4 ⊙ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 ♢，规则如下：
当x和y都是奇数时，x ♢ y = 2 + y * x；
其他情况下，x ♢ y = x + y + x。
和 □，规则如下：
当x是5的倍数时，x □ y = 1 - (y) - x；
其他情况下，x □ y = x + y + y。
和 ◇，规则如下：
实数域上，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: 4 ♢ 5 ◇ 9 □ 6 ♢ 7 ◇ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "50",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ♢ 5 ◇ 9 □ 6 ♢ 7 ◇ 6",
"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 = abs(y / 5) * x.
and □, the rules are as follows:
when y is odd, x □ y = y + x - y;
otherwise, x □ y = y - y + x.
and ☆, the rules are as follows:
when y is odd, x ☆ y = y - x * x;
otherwise, x ☆ y = y * x - y.
The precedence of operations: ... | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 □ 4 ** 8 ⊙ 5 ☆ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | 定义 ○，规则如下：
当y是奇数时，x ○ y = x / y ** y - y + (x)；
其他情况下，x ○ y = y + 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 ○ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ○ 7 ○ 5",
"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 = 2 / y / x。
和 ⊗，规则如下：
当x和y的和是偶数时，x ⊗ y = 3 - (y / x * x)；
其他情况下，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: 8 * 5 ☆ 5 ⊗ 2 ☆ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.6024",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 * 5 ☆ 5 ⊗ 2 ☆ 2",
"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 greater than y, x ◇ y = 3 ** (3 * y - y) * x;
otherwise, x ◇ y = x * y + x * x + 1.
The precedence of operations: ** > * = / = % = ◇ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value... | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8",
"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 odd, x ♢ y = y + x - y;
otherwise, x ♢ y = y * x.
and ☆, the rules are as follows:
on the real number field, x ☆ y = abs(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": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♢ 8 ⊙ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 ⊙，规则如下：
当x小于y时，x ⊙ y = abs(y) + x；
其他情况下，x ⊙ y = x - x + y。
和 ◇，规则如下：
实数域上，x ◇ y = y ⊙ x - x + y。
和 ◎，规则如下：
实数域上，x ◎ y = 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: 4 ⊙ 9 ◇ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ⊙ 9 ◇ 6",
"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) - x * 2.
and ⊙, the rules are as follows:
when y is a multiple of 5, x ⊙ y = (x) ** y ♡ 1;
otherwise, x ⊙ y = x ♡ y - y.
The precedence of operations: ** = ⊙ > * = / = % > + = - = ♡。
Parentheses have the highest priority, and the expression... | {
"game_data": {
"answer": "-24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 / 1 ♡ 2 ⊙ 4",
"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 = (y) / x + 2。
和 ◎，规则如下：
当x是奇数时，x ◎ y = y ⊕ x + 3 - x；
其他情况下，x ◎ y = 4 / x * x * x ⊕ y。
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: 9 ⊕ 3 ◎ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "18.285714",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊕ 3 ◎ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nest... |
logic-v2 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = x - 1 + 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 = (y - x + x).
The precedence of operations: ⊗ = ♢ > ◎ > ** > * = / = % > + = -。
Parenth... | {
"game_data": {
"answer": "9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊗ 9 ◎ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | Define △, the rules are as follows:
when x and y are both even, x △ y = y + 4 * 3 - 3 * x;
otherwise, x △ y = x ** 3 * y - 4 * 5.
The precedence of operations: △ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value... | {
"game_data": {
"answer": "4361",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 △ 6 + 7",
"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 = y * abs(x)。
和 ⊗，规则如下：
当x小于y时，x ⊗ y = x - y ♡ (y)；
其他情况下，x ⊗ y = y + x。
和 ☆，规则如下：
当x大于y时，x ☆ y = y * x；
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: 4 ♡ 9 ☆ 6 + 3 ⊗ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "155",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ♡ 9 ☆ 6 + 3 ⊗ 8",
"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 = abs(y - y + y) + x + y.
and □, the rules are as follows:
when the sum of x and y is even, x □ y = y + y - x + x * x;
otherwise, x □ y = y + y + y ♡ x + 5.
The precedence of operations: ** = ♡ > * = / = % > + = - = □。
Parentheses have the highes... | {
"game_data": {
"answer": "310",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♡ 8 □ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 □，规则如下：
实数域上，x □ y = y * x * y - y。
和 ⊕，规则如下：
实数域上，x ⊕ y = 2 □ 2 * y - 2 - 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: 3 ⊕ 9 □ 10 ⊕ 5 □ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-4863",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊕ 9 □ 10 ⊕ 5 □ 1",
"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 - 2 + x + x。
和 ☆，规则如下：
实数域上，x ☆ y = (x ** 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: 1 ☆ 8 ♡ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ☆ 8 ♡ 4",
"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 = abs(y / 3 - x / y)。
和 ○，规则如下：
实数域上，x ○ y = x / y / 1 + 2 - x。
和 ♢，规则如下：
实数域上，x ♢ y = x * 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: 4 ○ 3 ⊙ 4 - 4 ♢ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-19.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ○ 3 ⊙ 4 - 4 ♢ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 △，规则如下：
当y是偶数时，x △ y = y + 4 * x - x；
其他情况下，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: 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3",
"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 the sum of x and y is odd, x ◎ y = (y + x) * 2;
otherwise, x ◎ y = x * y * x.
and ♡, the rules are as follows:
when the sum of x and y is even, x ♡ y = x * 2 * y;
otherwise, x ♡ y = y + x / y.
The precedence of operations: ◎ > ** > * = / = % = ♡ > + = -。
Parentheses have... | {
"game_data": {
"answer": "28.833333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♡ 6 + 9 ◎ 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 = y / x / y。
和 ▽，规则如下：
当y是5的倍数时，x ▽ y = y - x - y；
其他情况下，x ▽ y = 2 * 3 * y - x。
和 ♡，规则如下：
实数域上，x ♡ y = 5 ** y * x * 5。
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 ⊕ 5 ** 7 ♡ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.00016",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ▽ 3 ⊕ 5 ** 7 ♡ 4",
"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 = x - x + y * y * x。
和 ⊙，规则如下：
当y是偶数时，x ⊙ y = x * 4 - y；
其他情况下，x ⊙ y = 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 ☆ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "225",
"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 x is a multiple of 3, x ⊗ y = x * 3 * x * y;
otherwise, x ⊗ y = y * (y - x).
and ♢, the rules are as follows:
on the real number field, x ♢ y = y ⊗ y + x / y.
and ○, the rules are as follows:
when x and y are both odd, x ○ y = y / x * 2 - x;
otherwise, x ○ y = abs(y - ... | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ○ 10 ♢ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ⊕，规则如下：
实数域上，x ⊕ y = abs(y - y - x * y) + x。
和 ☆，规则如下：
实数域上，x ☆ y = 3 - y * (x) + x。
和 ⊙，规则如下：
实数域上，x ⊙ y = x + abs(y - 5 + y * 5)。
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 ⊕ 3 ☆ 4 ⊙ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-1117",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊕ 3 ☆ 4 ⊙ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | Define ♢, the rules are as follows:
when x and y are both odd, x ♢ y = y - x - y;
otherwise, x ♢ y = y - 3 / x.
and ◎, the rules are as follows:
on the real number field, x ◎ y = y * 4 - x.
and □, the rules are as follows:
on the real number field, x □ y = y + y ◎ x.
The precedence of operations: ♢ > ** = ◎ > *... | {
"game_data": {
"answer": "36",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 □ 8 ◎ 9 ♢ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting... |
logic-v2 | Define ◎, the rules are as follows:
when x is less than y, x ◎ y = x - x * x / x - y;
otherwise, x ◎ y = x * y - x * y + x.
and ⊙, the rules are as follows:
when x and y are both even, x ⊙ y = x - x - y + y ** y;
otherwise, x ⊙ y = 3 + 5 ** y + x * x.
The precedence of operations: ⊙ > ** > * = / = % = ◎ > + = -... | {
"game_data": {
"answer": "709",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊙ 4 ◎ 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：
实数域上，x ♡ y = (x * x / y * x)。
和 △，规则如下：
当y是偶数时，x △ y = 3 + x * 5 - y - y；
其他情况下，x △ y = x + x ♡ 4 - 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: 10 △ 3 ♡ 3 + 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "260",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 △ 3 ♡ 3 + 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | 定义 ○，规则如下：
实数域上，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: 1 % 1 ○ 7 / 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.142857",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 % 1 ○ 7 / 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"n... |
logic-v2 | Define □, the rules are as follows:
on the real number field, x □ y = y + (y - x) + y.
and ☆, the rules are as follows:
on the real number field, x ☆ y = y / (x □ x) * 1.
The precedence of operations: ** > * = / = % = □ > + = - = ☆。
Parentheses have the highest priority, and the expression inside the parentheses is... | {
"game_data": {
"answer": "0.346154",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 □ 6 / 3 ☆ 3",
"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是5的倍数时，x △ y = x - y - x；
其他情况下，x △ y = abs(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: 3 ☆ 7 △ 2 △ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ☆ 7 △ 2 △ 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 = y - (x - x / x) * x。
和 ▽，规则如下：
实数域上，x ▽ y = x - y * x - y * x。
和 ☆，规则如下：
实数域上，x ☆ y = y + x / 2 * 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 ▽ 10 ◇ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "179",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ▽ 10 ◇ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | Define ⊙, the rules are as follows:
when x is odd, x ⊙ y = abs(x - x / y / y) ** y;
otherwise, x ⊙ y = x / 5 - 4 / 4 - y.
and △, the rules are as follows:
when x is odd, x △ y = y - y ⊙ x - x / x;
otherwise, x △ y = y - x ⊙ (y + y) * y.
and ○, the rules are as follows:
when x is odd, x ○ y = x * y * 4 - x;
ot... | {
"game_data": {
"answer": "288.08",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 9 ○ 1 ⊙ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = y * y * y * x * x。
和 ○，规则如下：
实数域上，x ○ y = x / 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: 5 ◎ 7 ○ 9 % 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5.836763",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ◎ 7 ○ 9 % 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"... |
logic-v2 | Define □, the rules are as follows:
when the sum of x and y is even, x □ y = y - x + y + y + x;
otherwise, x □ y = y + y - y * x - x.
and △, the rules are as follows:
on the real number field, x △ y = x □ 3 - y.
The precedence of operations: □ > ** > * = / = % > + = - = △。
Parentheses have the highest priority, a... | {
"game_data": {
"answer": "11",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 △ 2 □ 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:
when x is greater than y, x ⊙ y = x + x / x + y;
otherwise, x ⊙ y = y + x + y / y.
and ◇, the rules are as follows:
on the real number field, x ◇ y = x - 2 + y + x.
and ♡, the rules are as follows:
when y is a multiple of 3, x ♡ y = 5 ◇ x + y;
otherwise, x ♡ y = y + x + 1.
... | {
"game_data": {
"answer": "50",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊙ 9 ◇ 7 ♡ 10",
"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 = x + x - y - y - y.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = 2 / y ⊕ x - x.
and ☆, the rules are as follows:
when y is a multiple of 3, x ☆ y = y * 1 * 4 - x;
otherwise, x ☆ y = x - x - x - y + y.
The precedence of op... | {
"game_data": {
"answer": "-47.2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊕ 2 ☆ 8 ⊙ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nest... |
logic-v2 | Define ▽, the rules are as follows:
when the sum of x and y is odd, x ▽ y = y - y + x * y + y;
otherwise, x ▽ y = x * y - x * x - 5.
The precedence of operations: ** > * = / = % = ▽ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the va... | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7",
"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 y is a multiple of 3, x ☆ y = x - y - y * x * x;
otherwise, x ☆ y = y - y - x ** y * x.
and ♡, the rules are as follows:
when the sum of x and y is even, x ♡ y = 1 + 1 - 2 * x - y;
otherwise, x ♡ y = y * y - 5 / x - 2.
The precedence of operations: ☆ > ** = ♡ > * = / = %... | {
"game_data": {
"answer": "217",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♡ 5 ☆ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_de... |
logic-v2 | Define △, the rules are as follows:
when x is less than y, x △ y = y + y * x;
otherwise, x △ y = 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": "0.027778",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 / 3 △ 9",
"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 - 5 - y).
and □, the rules are as follows:
when y is even, x □ y = x * y;
otherwise, x □ y = y + abs(y - y + x).
The precedence of operations: ☆ > ** > * = / = % = □ > + = -。
Parentheses have the highest priority, and the expression insi... | {
"game_data": {
"answer": "-16",
"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：
实数域上，x ♢ y = y * abs(x * x) - x。
和 ☆，规则如下：
实数域上，x ☆ y = y - y + x * x。
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: 8 ☆ 3 □ 4 ♢ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "64",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ☆ 3 □ 4 ♢ 4",
"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 * x - y ** y.
and △, the rules are as follows:
when y is odd, x △ y = x / y;
otherwise, x △ y = y * y - y + (x).
The precedence of operations: ** > * = / = % = ♡ > + = - = △。
Parentheses have the highest priority, and the expression inside th... | {
"game_data": {
"answer": "-74.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ♡ 4 △ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | Define ◎, the rules are as follows:
when x is less than y, x ◎ y = x * y + 1 / y;
otherwise, x ◎ y = abs(x + y) - y.
and ⊕, the rules are as follows:
when x and y are both odd, x ⊕ y = y - x + x + y * x;
otherwise, x ⊕ y = x + y ** 1.
and ♡, the rules are as follows:
on the real number field, x ♡ y = x + y + ... | {
"game_data": {
"answer": "99.090909",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ◎ 9 ⊕ 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 * y - y * 2.
and ⊕, 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 - y) * 1.
The precedence of operations: ⊕ > ** > * = / = % = ♢ > + = -... | {
"game_data": {
"answer": "18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 + 10 ○ 2 ♢ 6 ⊕ 4",
"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 = x + y + x * 4 * 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 ▽ 3 % 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ▽ 3 % 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
logic-v2 | 定义 △，规则如下：
当x和y的和是偶数时，x △ y = x - y + y ** x；
其他情况下，x △ y = x + 3 * 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: 1 △ 3 % 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 △ 3 % 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
logic-v2 | Define ○, the rules are as follows:
when x and y are both odd, x ○ y = 2 - y + x - y;
otherwise, x ○ y = y / x / x - 4.
The precedence of operations: ○ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value of the ex... | {
"game_data": {
"answer": "3.064516",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 - 8 / 8 ○ 8",
"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 + x - y * y.
and ♢, the rules are as follows:
on the real number field, x ♢ y = y * x.
and ▽, the rules are as follows:
when x is a multiple of 5, x ▽ y = y / (x) ♢ x;
otherwise, x ▽ y = x + (y ⊙ x * x).
The precedence of operations: ▽ > **... | {
"game_data": {
"answer": "50",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ▽ 9 ⊙ 2 ♢ 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 = (y - 5) ** x + x。
和 ◇，规则如下：
当y是偶数时，x ◇ y = y / 3 + abs(x - x)；
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: 3 □ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 □ 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y是奇数时，x ⊗ y = x / y ** x - x；
其他情况下，x ⊗ y = (x + y) - y。
和 ⊙，规则如下：
当y是偶数时，x ⊙ y = y - 1 ** 2 ⊗ x；
其他情况下，x ⊙ y = y + x / x。
和 □，规则如下：
当x和y的和是奇数时，x □ y = y + (y * 2 * x)；
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: 4 % 2 □ 4 ⊙ 7 ⊗ 1
请将最终答案填入\b... | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 % 2 □ 4 ⊙ 7 ⊗ 1",
"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 a multiple of 3, x ♡ y = y * y ** x + y * y;
otherwise, x ♡ y = y + 2 / y - x + 3.
and ◎, the rules are as follows:
on the real number field, x ◎ y = (1 ** y * x) ♡ x.
The precedence of operations: ** > * = / = % > + = - = ♡ = ◎。
Parentheses have the highest priority,... | {
"game_data": {
"answer": "23",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ♡ 1 ◎ 10 + 9 * 2",
"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 = x + y - x。
和 ♡，规则如下：
当x小于y时，x ♡ y = y + x + y；
其他情况下，x ♡ y = y + x + x。
和 □，规则如下：
当y是奇数时，x □ y = y + y * x；
其他情况下，x □ y = x + 1 + 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: 7 □ 6 ⊙ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "72",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 □ 6 ⊙ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 ⊙，规则如下：
当x和y的和是偶数时，x ⊙ y = y / x / x + y；
其他情况下，x ⊙ y = x - 5 + x + y。
和 ♢，规则如下：
实数域上，x ♢ y = y - x / y * x。
和 △，规则如下：
实数域上，x △ y = x / x * abs(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 ⊙ 3 △ 2 ♢ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-320",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊙ 3 △ 2 ♢ 4",
"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等于y时，x ♡ y = (y / x) - x；
其他情况下，x ♡ y = abs(x * y - x)。
和 ♢，规则如下：
当x等于y时，x ♢ y = y - x + y；
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 - 8 ♡ 4 + 7 ♢ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 - 8 ♡ 4 + 7 ♢ 1",
"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 = 3 / y - (y + 4 - x).
and ☆, the rules are as follows:
when x and y are both even, x ☆ y = x + y + (y) + x ⊙ x;
otherwise, x ☆ y = x + x + (4 ⊙ x) + y.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = x + x / x + y.
The prece... | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊙ 3 ⊗ 2",
"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 = y * y - y ** x + y.
and ⊗, the rules are as follows:
when x is odd, x ⊗ y = (x / y + y) □ y;
otherwise, x ⊗ y = y / x * y.
The precedence of operations: ⊗ > ** = □ > * = / = % > + = -。
Parentheses have the highest priority, and the expression i... | {
"game_data": {
"answer": "-7437.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊗ 10 * 4 □ 5",
"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.