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Comparison
There are four numbers 0.8, 1/2, 0.9, and1/3. What is the largest number less than 3?
0.9
[OP_LIST_SOL] 0.8 1/2 0.9 1/3 [OP_LIST_EOL] 3 [OP_LIST_LESS] 1 [OP_LIST_MAX]
var_a = 0.8 var_b = 0.5 var_c = 0.9 var_d = 0.3333333333333333 list_a= [] if "/" in str(var_d): var_d = eval(str(var_d)) list_a.append(var_d) if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_e = 3 list_b = [] for i in list_a: if i < var_e: list_b.append(i) var_f = 1 list_c=list_b.copy() list_c.sort() var_g = list_c[-var_f] print('{:.2f}'.format(round(var_g+1e-10,2)))
Comparison
There are bags weighing 1.2 kilograms (kg), 3.1 kilograms (kg), 2.4 kilograms (kg), 3.0 kilograms (kg), and 1.8 kilograms (kg), respectively. How many bags are there weighing more than 2 kilograms (kg)?
3
[OP_LIST_SOL] 1.2 3.1 2.4 3.0 1.8 [OP_LIST_EOL] 2 [OP_LIST_MORE] [OP_LIST_LEN]
var_a = 1.2 var_b = 3.1 var_c = 2.4 var_d = 3 var_e = 1.8 list_a= [] if "/" in str(var_e): var_e = eval(str(var_e)) list_a.append(var_e) if "/" in str(var_d): var_d = eval(str(var_d)) list_a.append(var_d) if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_f = 2 list_b = [] for i in list_a: if i > var_f: list_b.append(i) var_g = len(list_b) print(int(var_g))
Geometry
The radius of a circle is 2 centimeters (cm). What is the other radius of this circle in centimeters (cm)?
2
2
var_a = 2 print(int(var_a))
Arithmetic calculation
What is the largest three-digit number with 7 in the hundreds place?
799
7AB [OP_GEN_POSSIBLE_LIST] 1 [OP_LIST_MAX]
var_a = '7AB' ans_dict = dict() var_a = str(var_a) list_a = [] variable_candi = set(['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']) for v in set(var_a): if v in variable_candi: ans_dict[v] = 0 candi = list(itertools.product('0123456789', repeat=len(ans_dict))) for c in candi: temp = var_a for i, (k, _) in enumerate(ans_dict.items()): temp = temp.replace(k, str(c[i])) if len(var_a) == len(str(int(temp))): new_elem = int(temp) list_a.append(new_elem) var_b = 1 list_b=list_a.copy() list_b.sort() var_c = list_b[-var_b] print(int(var_c))
Arithmetic calculation
Seokjin, Taehyung, and Eunji's math test average score is 92. Also, Min-young and Hoseok's scores are 90 and 95, respectively. Find the average score of these five students on the math test, including decimal points.
92.2
92 3 [OP_MUL] 90 [OP_ADD] 95 [OP_ADD] 5 [OP_DIV]
var_a = 92 var_b = 3 var_c = var_a * var_b var_d = 90 var_e = var_c + var_d var_f = 95 var_g = var_e + var_f var_h = 5 var_i = var_g / var_h print('{:.2f}'.format(round(var_i+1e-10,2)))
Arithmetic calculation
Suna traveled 7/15 of the total distance by train, 5/8 of the remaining distance by bus, and 2/3 of the remaining distance by taxi. The rest of the distance was 2.6 kilometers (km) on foot. How many kilometers (km) did Suna travel?
39
2.6 1 7/15 [OP_SUB] 1 5/8 [OP_SUB] [OP_MUL] 1 2/3 [OP_SUB] [OP_MUL] [OP_DIV]
var_a = 2.6 var_b = 1 var_c = 0.4666666666666667 var_d = var_b - var_c var_e = 1 var_f = 0.625 var_g = var_e - var_f var_h = var_d * var_g var_i = 1 var_j = 0.6666666666666666 var_k = var_i - var_j var_l = var_h * var_k var_m = var_a / var_l print(int(eval('{:.2f}'.format(round(var_m+1e-10,2)))))
Geometry
When there are several cuboids, the sum of the number of faces and the number of edges of all the cuboids is 216. Find the sum of the number of vertices of all the cuboids.
96
216 12 6 [OP_ADD] [OP_DIV] 8 [OP_MUL]
var_a = 216 var_b = 12 var_c = 6 var_d = var_b + var_c var_e = var_a / var_d var_f = 8 var_g = var_e * var_f print(int(var_g))
Geometry
Kyuhyung has several square-shaped cards. The cards are laid out neatly to form a large square, and there are 3 cards left. It is said that 44 more cards are needed to increase to fill the outer perimeter with cards. How many cards does Kyuhyung have?
103
44 4 [OP_SUB] 4 [OP_DIV] 2 [OP_POW] 3 [OP_ADD]
var_a = 44 var_b = 4 var_c = var_a - var_b var_d = 4 var_e = var_c / var_d var_f = 2 var_g = var_e ** var_f var_h = 3 var_i = var_g + var_h print(int(var_i))
Arithmetic calculation
The remainder when a certain three-digit number is divided by 20 is the same as the remainder when divided by 25. If the remainder is 7, what is the possible largest number of the certain number?
907
100 999 1 [OP_LIST_ARANGE] 20 7 [OP_LIST_DIVIDE_AND_REMAIN] 25 7 [OP_LIST_DIVIDE_AND_REMAIN] 1 [OP_LIST_MAX]
var_a = 100 var_b = 999 var_c = 1 list_a = [i for i in range(var_a, var_b + 1, var_c)] var_d = 20 var_e = 7 list_b = [] var_d = int(var_d) var_e = int(var_e) if var_e < 0: var_e = var_e + var_d for i in list_a: i = int(i) if i%var_d == var_e: list_b.append(i) var_f = 25 var_g = 7 list_c = [] var_f = int(var_f) var_g = int(var_g) if var_g < 0: var_g = var_g + var_f for i in list_b: i = int(i) if i%var_f == var_g: list_c.append(i) var_h = 1 list_d=list_c.copy() list_d.sort() var_i = list_d[-var_h] print(int(var_i))
Comparison
9 people are standing in a line in order from the shortest to the tallest. Hoseok is standing in the middle. If you line them up again in order from the tallest to the shortest, what number will Hoseok stand from the back?
5
9 2 [OP_FDIV] 1 [OP_ADD]
var_a = 9 var_b = 2 var_c = var_a // var_b var_d = 1 var_e = var_c + var_d print(int(var_e))
Arithmetic calculation
After 6 years, the father's age plus the son's age is 68 years old. This year, the father ages six times the son does. How old is the son this year?
8
68 6 2 [OP_MUL] [OP_SUB] 1 6 [OP_ADD] [OP_DIV]
var_a = 68 var_b = 6 var_c = 2 var_d = var_b * var_c var_e = var_a - var_d var_f = 1 var_g = 6 var_h = var_f + var_g var_i = var_e / var_h print(int(var_i))
Arithmetic calculation
A dozen of pencils means 12 pencils. Taehyung bought 2 dozen pencils and shared them with Namjoon, but Namjoon got 4 more than Taehyung. How many pencils does Namjoon have?
14
12 2 [OP_MUL] 4 [OP_SUB] 2 [OP_DIV] 4 [OP_ADD]
var_a = 12 var_b = 2 var_c = var_a * var_b var_d = 4 var_e = var_c - var_d var_f = 2 var_g = var_e / var_f var_h = 4 var_i = var_g + var_h print(int(var_i))
Comparison
Hyeonsoo's car travels 17.28 kilometers (km) in 16 minutes at a constant speed, and Yejun's car travels 8.52 kilometers (km) in 6 minutes at a constant speed. If Hyeonsoo and Yejun started from the same place by car, who is further away 15 minutes later?
Yejun
[OP_LIST_SOL] Hyeonsoo Yejun [OP_LIST_EOL] [OP_LIST_SOL] 17.28 16 [OP_DIV] 15 [OP_MUL] 8.52 6 [OP_DIV] 15 [OP_MUL] [OP_LIST_EOL] 1 [OP_LIST_MAX] [OP_LIST_INDEX] [OP_LIST_POP] [OP_LIST_GET]
var_a = 'Hyeonsoo' var_b = 'Yejun' list_a= [] if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_c = 17.28 var_d = 16 var_e = var_c / var_d var_f = 15 var_g = var_e * var_f var_h = 8.52 var_i = 6 var_j = var_h / var_i var_k = 15 var_l = var_j * var_k list_b= [] if "/" in str(var_l): var_l = eval(str(var_l)) list_b.append(var_l) if "/" in str(var_g): var_g = eval(str(var_g)) list_b.append(var_g) list_b.reverse() var_m = 1 list_c=list_b.copy() list_c.sort() var_n = list_c[-var_m] var_o = list_b.index(var_n)+1 var_p = list_a[var_o-1] print(var_p)
Geometry
You are trying to draw a diagonal from one vertex of an icosahedron. How many diagonal lines can you draw?
17
20 3 [OP_SUB]
var_a = 20 var_b = 3 var_c = var_a - var_b print(int(var_c))
Geometry
Dice with an edge of 2 centimeters (cm) are stacked to form a cube with an edge of 10 centimeters (cm). I put confetti on all sides of the cube. How many dices have confetti on one side?
54
10 2 [OP_DIV] 2 [OP_SUB] 2 [OP_POW] 6 [OP_MUL]
var_a = 10 var_b = 2 var_c = var_a / var_b var_d = 2 var_e = var_c - var_d var_f = 2 var_g = var_e ** var_f var_h = 6 var_i = var_g * var_h print(int(var_i))
Geometry
If a triangle is divided in two by a median line of the base from one vertex, and the area of a divided triangle is 7 square centimeters (cm2), find the area of the entire triangle.
14
7 2 [OP_MUL]
var_a = 7 var_b = 2 var_c = var_a * var_b print(int(var_c))
Comparison
There are numbers 0.8, 1/2, 0.9, 0.2 and 1/3. Find the sum of all numbers less than 0.3.
0.2
[OP_LIST_SOL] 0.2 0.8 1/2 0.9 1/3 [OP_LIST_EOL] 0.3 [OP_LIST_LESS] [OP_LIST_SUM]
var_a = 0.2 var_b = 0.8 var_c = 0.5 var_d = 0.9 var_e = 0.3333333333333333 list_a= [] if "/" in str(var_e): var_e = eval(str(var_e)) list_a.append(var_e) if "/" in str(var_d): var_d = eval(str(var_d)) list_a.append(var_d) if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_f = 0.3 list_b = [] for i in list_a: if i < var_f: list_b.append(i) list_b = [float(i) for i in list_b] var_g = sum(list_b) print('{:.2f}'.format(round(var_g+1e-10,2)))
Arithmetic calculation
At a constant speed, a bus travels a distance of 17.28 kilometers (km) in 16 minutes, and a car travels a distance of 8.52 kilometers (km) in 6 minutes. If a bus and a car start at the same time from the same place, which one and how farther will it go after 15 minutes?
5.1
17.28 16 [OP_DIV] 15 [OP_MUL] 8.52 6 [OP_DIV] 15 [OP_MUL] [OP_SUB] [OP_ABS]
var_a = 17.28 var_b = 16 var_c = var_a / var_b var_d = 15 var_e = var_c * var_d var_f = 8.52 var_g = 6 var_h = var_f / var_g var_i = 15 var_j = var_h * var_i var_k = var_e - var_j var_l = abs(var_k) print('{:.2f}'.format(round(var_l+1e-10,2)))
Comparison
Taehyung is heavier than Yoojung. Yoojung is heavier than Jimin. Taehyung is lighter than Hoseok. Which of the 4 is the lightest?
Jimin
[OP_LIST_SOL] Taehyung Yoojung Jimin Hoseok [OP_LIST_EOL] [OP_LIST_SOL] Taehyung Yoojung > Yoojung Jimin > Taehyung Hoseok < [OP_LIST_EOL] [OP_LIST_COND_MAX_MIN] [OP_LIST_LEN] [OP_LIST_GET]
var_a = 'Taehyung' var_b = 'Yoojung' var_c = 'Jimin' var_d = 'Hoseok' list_a= [] if "/" in str(var_d): var_d = eval(str(var_d)) list_a.append(var_d) if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_e = 'Taehyung' var_f = 'Yoojung' var_g = '>' var_h = 'Yoojung' var_i = 'Jimin' var_j = '>' var_k = 'Taehyung' var_l = 'Hoseok' var_m = '<' list_b= [] if "/" in str(var_m): var_m = eval(str(var_m)) list_b.append(var_m) if "/" in str(var_l): var_l = eval(str(var_l)) list_b.append(var_l) if "/" in str(var_k): var_k = eval(str(var_k)) list_b.append(var_k) if "/" in str(var_j): var_j = eval(str(var_j)) list_b.append(var_j) if "/" in str(var_i): var_i = eval(str(var_i)) list_b.append(var_i) if "/" in str(var_h): var_h = eval(str(var_h)) list_b.append(var_h) if "/" in str(var_g): var_g = eval(str(var_g)) list_b.append(var_g) if "/" in str(var_f): var_f = eval(str(var_f)) list_b.append(var_f) if "/" in str(var_e): var_e = eval(str(var_e)) list_b.append(var_e) list_b.reverse() global item_name_index_dict items_name_list = list_a.copy() conditions = [] condition_list = list_b.copy() temp_stack = [] for index_, cond_ in enumerate(map(str, condition_list)): if cond_ in ("<", ">", "="): operand_right = temp_stack.pop() operand_left = temp_stack.pop() if cond_ == "=": cond_ = "==" conditions.append(f"{operand_left} {cond_} {operand_right}") else: if not cond_.isdigit(): cond_ = "{" + cond_ + "}" temp_stack.append(cond_) item_name_index_dict = {} for perm in itertools.permutations(range(1, len(items_name_list) + 1)): item_name_index_dict = dict(zip(items_name_list, perm)) formatted_conditions = \ [condition.format_map(item_name_index_dict) for condition in conditions] if all(map(eval, formatted_conditions)): break list_c = list(item_name_index_dict.keys()) list_c.sort(key=item_name_index_dict.get, reverse=True) var_n = len(list_c) var_o = list_c[var_n-1] print(var_o)
Possibility
If there are 9 number cards written from 1 to 9, how many ways can you make the sum of cards as 17 by drawing 3 of them?
42
1 9 1 [OP_LIST_ARANGE] 3 [OP_LIST_GET_PERM] [OP_LIST_NUM2SUM] 17 [OP_LIST_FIND_NUM]
var_a = 1 var_b = 9 var_c = 1 list_a = [i for i in range(var_a, var_b + 1, var_c)] var_d = 3 list_b = [str(i) for i in list_a] list_b = list(itertools.permutations(list_b, var_d)) list_b = [''.join(num_list) for num_list in list_b] list_b = [str_num for str_num in list_b if str_num[0] != '0'] list_b = [float(i) for i in list_b] list_c=[] for i in list_b: var_e = 0 i = int(i) while i//10 > 0: var_e = var_e + i%10 i = i//10 var_e = var_e + i%10 list_c.append(var_e) var_f = 17 var_g = 0 var_f = int(var_f) for i in list_c: i = int(i) if i == var_f: var_g = var_g + 1 print(int(var_g))
Comparison
There are 9/10 liters (L) of milk. Suyeon drank 1/3 of the total, and Hyunwoo drank 4/9 of the total. Who drank more milk, Suyeon or Hyunwoo?
Hyunwoo
[OP_LIST_SOL] Suyeon Hyunwoo [OP_LIST_EOL] [OP_LIST_SOL] 1/3 4/9 [OP_LIST_EOL] 1 [OP_LIST_MAX] [OP_LIST_INDEX] [OP_LIST_POP] [OP_LIST_GET]
var_a = 'Suyeon' var_b = 'Hyunwoo' list_a= [] if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_c = 0.3333333333333333 var_d = 0.4444444444444444 list_b= [] if "/" in str(var_d): var_d = eval(str(var_d)) list_b.append(var_d) if "/" in str(var_c): var_c = eval(str(var_c)) list_b.append(var_c) list_b.reverse() var_e = 1 list_c=list_b.copy() list_c.sort() var_f = list_c[-var_e] var_g = list_b.index(var_f)+1 var_h = list_a[var_g-1] print(var_h)
Comparison
You are trying to find the three letters (a), (b), and (c) in the dictionary. When (b) is behind (a) and (b) is behind (c), what is the last letter in the dictionary?
(b)
[OP_LIST_SOL] (a) (b) (c) [OP_LIST_EOL] [OP_LIST_SOL] (a) (b) < (c) (b) < [OP_LIST_EOL] [OP_LIST_COND_MAX_MIN] 1 [OP_LIST_GET]
var_a = '(a)' var_b = '(b)' var_c = '(c)' list_a= [] if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_d = '(a)' var_e = '(b)' var_f = '<' var_g = '(c)' var_h = '(b)' var_i = '<' list_b= [] if "/" in str(var_i): var_i = eval(str(var_i)) list_b.append(var_i) if "/" in str(var_h): var_h = eval(str(var_h)) list_b.append(var_h) if "/" in str(var_g): var_g = eval(str(var_g)) list_b.append(var_g) if "/" in str(var_f): var_f = eval(str(var_f)) list_b.append(var_f) if "/" in str(var_e): var_e = eval(str(var_e)) list_b.append(var_e) if "/" in str(var_d): var_d = eval(str(var_d)) list_b.append(var_d) list_b.reverse() global item_name_index_dict items_name_list = list_a.copy() conditions = [] condition_list = list_b.copy() temp_stack = [] for index_, cond_ in enumerate(map(str, condition_list)): if cond_ in ("<", ">", "="): operand_right = temp_stack.pop() operand_left = temp_stack.pop() if cond_ == "=": cond_ = "==" conditions.append(f"{operand_left} {cond_} {operand_right}") else: if not cond_.isdigit(): cond_ = "{" + cond_ + "}" temp_stack.append(cond_) item_name_index_dict = {} for perm in itertools.permutations(range(1, len(items_name_list) + 1)): item_name_index_dict = dict(zip(items_name_list, perm)) formatted_conditions = \ [condition.format_map(item_name_index_dict) for condition in conditions] if all(map(eval, formatted_conditions)): break list_c = list(item_name_index_dict.keys()) list_c.sort(key=item_name_index_dict.get, reverse=True) var_j = 1 var_k = list_c[var_j-1] print(var_k)
Comparison
There are 4 animals A, B, C and D. D animals are smaller than A animals and larger than B animals. Which animal is the largest when C animals are larger than A animals?
C
[OP_LIST_SOL] A B C D [OP_LIST_EOL] [OP_LIST_SOL] A C < D B > D A < [OP_LIST_EOL] [OP_LIST_COND_MAX_MIN] 1 [OP_LIST_GET]
var_a = 'A' var_b = 'B' var_c = 'C' var_d = 'D' list_a= [] if "/" in str(var_d): var_d = eval(str(var_d)) list_a.append(var_d) if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_e = 'A' var_f = 'C' var_g = '<' var_h = 'D' var_i = 'B' var_j = '>' var_k = 'D' var_l = 'A' var_m = '<' list_b= [] if "/" in str(var_m): var_m = eval(str(var_m)) list_b.append(var_m) if "/" in str(var_l): var_l = eval(str(var_l)) list_b.append(var_l) if "/" in str(var_k): var_k = eval(str(var_k)) list_b.append(var_k) if "/" in str(var_j): var_j = eval(str(var_j)) list_b.append(var_j) if "/" in str(var_i): var_i = eval(str(var_i)) list_b.append(var_i) if "/" in str(var_h): var_h = eval(str(var_h)) list_b.append(var_h) if "/" in str(var_g): var_g = eval(str(var_g)) list_b.append(var_g) if "/" in str(var_f): var_f = eval(str(var_f)) list_b.append(var_f) if "/" in str(var_e): var_e = eval(str(var_e)) list_b.append(var_e) list_b.reverse() global item_name_index_dict items_name_list = list_a.copy() conditions = [] condition_list = list_b.copy() temp_stack = [] for index_, cond_ in enumerate(map(str, condition_list)): if cond_ in ("<", ">", "="): operand_right = temp_stack.pop() operand_left = temp_stack.pop() if cond_ == "=": cond_ = "==" conditions.append(f"{operand_left} {cond_} {operand_right}") else: if not cond_.isdigit(): cond_ = "{" + cond_ + "}" temp_stack.append(cond_) item_name_index_dict = {} for perm in itertools.permutations(range(1, len(items_name_list) + 1)): item_name_index_dict = dict(zip(items_name_list, perm)) formatted_conditions = \ [condition.format_map(item_name_index_dict) for condition in conditions] if all(map(eval, formatted_conditions)): break list_c = list(item_name_index_dict.keys()) list_c.sort(key=item_name_index_dict.get, reverse=True) var_n = 1 var_o = list_c[var_n-1] print(var_o)
Correspondence
You subtracted 7 from a number and got 9. What is the value of the number multiplied by 5?
80
9 7 [OP_ADD] 5 [OP_MUL]
var_a = 9 var_b = 7 var_c = var_a + var_b var_d = 5 var_e = var_c * var_d print(int(var_e))
Correspondence
A two-digit decimal 3.A7 is greater than 3.27. Write how many numbers can fit in A. However, A can contain any number from 0 to 9.
7
3.A7>3.27 A [OP_DIGIT_UNK_SOLVER] [OP_LIST_LEN]
var_a = '3.A7>3.27' var_b = 'A' ans_dict = dict() var_a = var_a.replace('×','*') var_a = var_a.replace('x','*') var_a = var_a.replace('÷','/') variable_candi = set(['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']) for v in set(var_a): if v in variable_candi: ans_dict[v] = [] candi = list(itertools.product('0123456789', repeat=len(ans_dict))) for c in candi: temp = var_a for i, (k, _) in enumerate(ans_dict.items()): temp = temp.replace(k, str(c[i])) term_list = [] op_list = [] temp_c = '' for tc in temp: if tc not in '+-*/=><().': temp_c += tc else: op_list.append(tc) term_list.append(temp_c) temp_c = '' term_list.append(temp_c) new_eq = '' for i in range(len(op_list)): new_eq += str(int(term_list[i]))+op_list[i] new_eq += str(int(term_list[-1])) if len(new_eq) == len(var_a): new_eq=new_eq.replace('=', '==') new_eq=new_eq.replace('>==', '>=') new_eq=new_eq.replace('<==', '<=') eval_result = False try: eval_result = eval(new_eq) except: pass if eval_result: for i, (k, _) in enumerate(ans_dict.items()): ans_dict[k].append(int(c[i])) list_a = list(set(ans_dict[var_b])) var_c = len(list_a) print(int(var_c))
Arithmetic calculation
We want to distribute 43 baseballs equally among 6 classes, with the fewest remaining baseballs. How many baseballs should be left?
1
43 6 [OP_MOD]
var_a = 43 var_b = 6 var_c = var_a % var_b print(int(var_c))
Correspondence
When 1/4×1/8=1/(4×A)=1/B, what is the sum of A and B?
40
1/4×1/8=1/(4×A)=1/B A [OP_NUM_UNK_SOLVER] 1/4×1/8=1/(4×A)=1/B B [OP_NUM_UNK_SOLVER] [OP_ADD]
var_a = '1/4×1/8=1/(4×A)=1/B' var_b = 'A' ans_dict = dict() var_a = var_a.replace('×','*') var_a = var_a.replace('x','*') var_a = var_a.replace('÷','/') variable_candi = set(['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']) for v in set(var_a): if v in variable_candi: ans_dict[v] = 0 candidate_num = [i for i in range(51)] candi = list(itertools.product(candidate_num, repeat=len(ans_dict))) for c in candi: temp = var_a for i, (k, _) in enumerate(ans_dict.items()): temp = temp.replace(k, str(c[i])) term_list = [] op_list = [] temp_c = '' for tc in temp: if tc not in '+-*/=><().': temp_c += tc else: op_list.append(tc) term_list.append(temp_c) temp_c = '' term_list.append(temp_c) new_eq = '' for i in range(len(op_list)): if term_list[i] == '': new_eq += str(term_list[i])+op_list[i] else: new_eq += str(int(term_list[i]))+op_list[i] new_eq += str(int(term_list[-1])) new_eq=new_eq.replace('=', '==') new_eq=new_eq.replace('>==', '>=') new_eq=new_eq.replace('<==', '<=') eval_result = False try: if '=' in new_eq and '>' not in new_eq and '<' not in new_eq: new_eq=new_eq.replace('==','=') new_eq=new_eq.replace('>','') new_eq=new_eq.replace('<','') new_eq=new_eq.split('=') for i in range(len(new_eq)-1): eval_result = math.isclose(eval(new_eq[i]), eval(new_eq[i+1])) if not eval_result: break else: eval_result = eval(new_eq) except: eval_result = False pass if eval_result: for i, (k, _) in enumerate(ans_dict.items()): ans_dict[k] = int(c[i]) var_c = ans_dict[var_b] var_d = '1/4×1/8=1/(4×A)=1/B' var_e = 'B' ans_dict = dict() var_d = var_d.replace('×','*') var_d = var_d.replace('x','*') var_d = var_d.replace('÷','/') variable_candi = set(['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']) for v in set(var_d): if v in variable_candi: ans_dict[v] = 0 candidate_num = [i for i in range(51)] candi = list(itertools.product(candidate_num, repeat=len(ans_dict))) for c in candi: temp = var_d for i, (k, _) in enumerate(ans_dict.items()): temp = temp.replace(k, str(c[i])) term_list = [] op_list = [] temp_c = '' for tc in temp: if tc not in '+-*/=><().': temp_c += tc else: op_list.append(tc) term_list.append(temp_c) temp_c = '' term_list.append(temp_c) new_eq = '' for i in range(len(op_list)): if term_list[i] == '': new_eq += str(term_list[i])+op_list[i] else: new_eq += str(int(term_list[i]))+op_list[i] new_eq += str(int(term_list[-1])) new_eq=new_eq.replace('=', '==') new_eq=new_eq.replace('>==', '>=') new_eq=new_eq.replace('<==', '<=') eval_result = False try: if '=' in new_eq and '>' not in new_eq and '<' not in new_eq: new_eq=new_eq.replace('==','=') new_eq=new_eq.replace('>','') new_eq=new_eq.replace('<','') new_eq=new_eq.split('=') for i in range(len(new_eq)-1): eval_result = math.isclose(eval(new_eq[i]), eval(new_eq[i+1])) if not eval_result: break else: eval_result = eval(new_eq) except: eval_result = False pass if eval_result: for i, (k, _) in enumerate(ans_dict.items()): ans_dict[k] = int(c[i]) var_f = ans_dict[var_e] var_g = var_c + var_f print(int(var_g))
Possibility
A can contain natural numbers from 1 to 9. If 44×A<55×4, find the sum of all the numbers that can be A.
10
1 9 1 [OP_LIST_ARANGE] 55 4 [OP_MUL] 44 [OP_DIV] [OP_LIST_LESS] [OP_LIST_SUM]
var_a = 1 var_b = 9 var_c = 1 list_a = [i for i in range(var_a, var_b + 1, var_c)] var_d = 55 var_e = 4 var_f = var_d * var_e var_g = 44 var_h = var_f / var_g list_b = [] for i in list_a: if i < var_h: list_b.append(i) list_b = [float(i) for i in list_b] var_i = sum(list_b) print(int(var_i))
Arithmetic calculation
Minji spends 0.6 hours cleaning her room every day. Find how many hours Minji spent cleaning her room in 3 weeks.
12.6
0.6 7 [OP_MUL] 3 [OP_MUL]
var_a = 0.6 var_b = 7 var_c = var_a * var_b var_d = 3 var_e = var_c * var_d print('{:.2f}'.format(round(var_e+1e-10,2)))
Arithmetic calculation
How many three-digit numbers are common multiples of 6, 5, 8, and 9?
2
100 999 1 [OP_LIST_ARANGE] 6 [OP_LIST_DIVISIBLE] 5 [OP_LIST_DIVISIBLE] 8 [OP_LIST_DIVISIBLE] 9 [OP_LIST_DIVISIBLE] [OP_LIST_LEN]
var_a = 100 var_b = 999 var_c = 1 list_a = [i for i in range(var_a, var_b + 1, var_c)] var_d = 6 list_b = [] var_d = int(var_d) for i in list_a: i = int(i) if i % var_d == 0: list_b.append(i) var_e = 5 list_c = [] var_e = int(var_e) for i in list_b: i = int(i) if i % var_e == 0: list_c.append(i) var_f = 8 list_d = [] var_f = int(var_f) for i in list_c: i = int(i) if i % var_f == 0: list_d.append(i) var_g = 9 list_e = [] var_g = int(var_g) for i in list_d: i = int(i) if i % var_g == 0: list_e.append(i) var_h = len(list_e) print(int(var_h))
Geometry
Minjin made a square shape with one side length of 80 centimeters (cm) using wire. If you use the same length of wire to make a rectangular shape with a vertical length of 100 centimeters (cm), find the horizontal length of this rectangle.
60
80 4 [OP_MUL] 2 [OP_DIV] 100 [OP_SUB]
var_a = 80 var_b = 4 var_c = var_a * var_b var_d = 2 var_e = var_c / var_d var_f = 100 var_g = var_e - var_f print(int(var_g))
Possibility
You want to buy 2 different school supplies: a notebook, a pencil, and an eraser. If you choose different ones, how many ways are there?
3
[OP_LIST_SOL] notebook pencil eraser [OP_LIST_EOL] [OP_LIST_LEN] 2 [OP_COMB]
var_a = 'notebook' var_b = 'pencil' var_c = 'eraser' list_a= [] if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_d = len(list_a) var_e = 2 var_f = 1 var_d = int(var_d) var_e = int(var_e) for i, elem in enumerate(range(var_e)): var_f = var_f * (var_d-i) for i, elem in enumerate(range(var_e)): var_f = var_f / (i+1) print(int(var_f))
Geometry
How many faces does a pentahedron have?
5
5
var_a = 5 print(int(var_a))
Geometry
I doubled the length of each corner of a cube-shaped box. How many times bigger will the surface area of this box become?
4
2 2 [OP_POW]
var_a = 2 var_b = 2 var_c = var_a ** var_b print(int(var_c))
Correspondence
A number divided by 4 is 12. Hoseok wants to divide a number by 3. What is the expected result value?
16
12 4 [OP_MUL] 3 [OP_DIV]
var_a = 12 var_b = 4 var_c = var_a * var_b var_d = 3 var_e = var_c / var_d print(int(var_e))
Correspondence
If 5A8-21B=364, what number should go in B?
4
5A8-21B=364 B [OP_DIGIT_UNK_SOLVER]
var_a = '5A8-21B=364' var_b = 'B' ans_dict = dict() var_a = var_a.replace('×','*') var_a = var_a.replace('x','*') var_a = var_a.replace('÷','/') variable_candi = set(['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']) for v in set(var_a): if v in variable_candi: ans_dict[v] = 1 candi = list(itertools.product('0123456789', repeat=len(ans_dict))) for c in candi: temp = var_a for i, (k, _) in enumerate(ans_dict.items()): temp = temp.replace(k, str(c[i])) term_list = [] op_list = [] temp_c = '' for tc in temp: if tc not in '+-*/=><().': temp_c += tc else: op_list.append(tc) term_list.append(temp_c) temp_c = '' term_list.append(temp_c) new_eq = '' for i in range(len(op_list)): new_eq += str(int(term_list[i]))+op_list[i] new_eq += str(int(term_list[-1])) if len(new_eq) == len(var_a): new_eq=new_eq.replace('=', '==') new_eq=new_eq.replace('>==', '>=') new_eq=new_eq.replace('<==', '<=') eval_result = False try: eval_result = eval(new_eq) except: pass if eval_result: for i, (k, _) in enumerate(ans_dict.items()): ans_dict[k] = int(c[i]) var_c = ans_dict[var_b] print(int(var_c))
Correspondence
A15B94 is a six-digit number divisible by 99. If A15B94 is a multiple of 99, find B.
3
A15B94 [OP_GEN_POSSIBLE_LIST] 99 [OP_LIST_DIVISIBLE] A15B94 B [OP_LIST_FIND_UNK]
var_a = 'A15B94' ans_dict = dict() var_a = str(var_a) list_a = [] variable_candi = set(['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']) for v in set(var_a): if v in variable_candi: ans_dict[v] = 0 candi = list(itertools.product('0123456789', repeat=len(ans_dict))) for c in candi: temp = var_a for i, (k, _) in enumerate(ans_dict.items()): temp = temp.replace(k, str(c[i])) if len(var_a) == len(str(int(temp))): new_elem = int(temp) list_a.append(new_elem) var_b = 99 list_b = [] var_b = int(var_b) for i in list_a: i = int(i) if i % var_b == 0: list_b.append(i) var_c = 'A15B94' var_d = 'B' var_c = str(var_c) var_d = str(var_d) unk_idx = var_c.index(var_d) var_e = 0 for elem in list_b: elem = str(elem) var_e = int(elem[unk_idx]) print(int(var_e))
Comparison
There are 30 sweets. Minsu received 12, Jaeyoung 3, and Heesu 15. Who received the most sweets?
Heesu
[OP_LIST_SOL] Minsu Jaeyoung Heesu [OP_LIST_EOL] [OP_LIST_SOL] 12 3 15 [OP_LIST_EOL] 1 [OP_LIST_MAX] [OP_LIST_INDEX] [OP_LIST_POP] [OP_LIST_GET]
var_a = 'Minsu' var_b = 'Jaeyoung' var_c = 'Heesu' list_a= [] if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_d = 12 var_e = 3 var_f = 15 list_b= [] if "/" in str(var_f): var_f = eval(str(var_f)) list_b.append(var_f) if "/" in str(var_e): var_e = eval(str(var_e)) list_b.append(var_e) if "/" in str(var_d): var_d = eval(str(var_d)) list_b.append(var_d) list_b.reverse() var_g = 1 list_c=list_b.copy() list_c.sort() var_h = list_c[-var_g] var_i = list_b.index(var_h)+1 var_j = list_a[var_i-1] print(var_j)
Geometry
Twenty-seven cubes with each edge being 4 centimeters (cm) long were glued together to form a one large cube. What is the surface area of this large cube in cm2 (cm2)?
864
4 27 1 3 [OP_DIV] [OP_POW] [OP_MUL] 2 [OP_POW] 6 [OP_MUL]
var_a = 4 var_b = 27 var_c = 1 var_d = 3 var_e = var_c / var_d var_f = var_b ** var_e var_g = var_a * var_f var_h = 2 var_i = var_g ** var_h var_j = 6 var_k = var_i * var_j print(int(var_k))
Geometry
How many diagonals can be drawn from a vertex in a figure with 10 sides equal in length and 10 angles equal in measure?
7
10 3 [OP_SUB]
var_a = 10 var_b = 3 var_c = var_a - var_b print(int(var_c))
Correspondence
When you add 124, each digit is the same number. The sum of the hundreds and ones digits of this number is 5, and the tens digit is 3. If each of these three digit numbers is different, find the three digit number.
431
[OP_LIST_SOL] [OP_LIST_SOL] A 3 B + 124 = C C C [OP_LIST_EOL] [OP_LIST2NUM] A [OP_DIGIT_UNK_SOLVER] 3 [OP_LIST_SOL] A 3 B + 124 = C C C [OP_LIST_EOL] [OP_LIST2NUM] B [OP_DIGIT_UNK_SOLVER] [OP_LIST_EOL] [OP_LIST2NUM]
var_a = 'A' var_b = 3 var_c = 'B' var_d = '+' var_e = 124 var_f = '=' var_g = 'C' var_h = 'C' var_i = 'C' list_a= [] if "/" in str(var_i): var_i = eval(str(var_i)) list_a.append(var_i) if "/" in str(var_h): var_h = eval(str(var_h)) list_a.append(var_h) if "/" in str(var_g): var_g = eval(str(var_g)) list_a.append(var_g) if "/" in str(var_f): var_f = eval(str(var_f)) list_a.append(var_f) if "/" in str(var_e): var_e = eval(str(var_e)) list_a.append(var_e) if "/" in str(var_d): var_d = eval(str(var_d)) list_a.append(var_d) if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_j="" for i in list_a: i = str(i) var_j = var_j + i var_k = 'A' ans_dict = dict() var_j = var_j.replace('×','*') var_j = var_j.replace('x','*') var_j = var_j.replace('÷','/') variable_candi = set(['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']) for v in set(var_j): if v in variable_candi: ans_dict[v] = 1 candi = list(itertools.product('0123456789', repeat=len(ans_dict))) for c in candi: temp = var_j for i, (k, _) in enumerate(ans_dict.items()): temp = temp.replace(k, str(c[i])) term_list = [] op_list = [] temp_c = '' for tc in temp: if tc not in '+-*/=><().': temp_c += tc else: op_list.append(tc) term_list.append(temp_c) temp_c = '' term_list.append(temp_c) new_eq = '' for i in range(len(op_list)): new_eq += str(int(term_list[i]))+op_list[i] new_eq += str(int(term_list[-1])) if len(new_eq) == len(var_j): new_eq=new_eq.replace('=', '==') new_eq=new_eq.replace('>==', '>=') new_eq=new_eq.replace('<==', '<=') eval_result = False try: eval_result = eval(new_eq) except: pass if eval_result: for i, (k, _) in enumerate(ans_dict.items()): ans_dict[k] = int(c[i]) var_l = ans_dict[var_k] var_m = 3 var_n = 'A' var_o = 3 var_p = 'B' var_q = '+' var_r = 124 var_s = '=' var_t = 'C' var_u = 'C' var_v = 'C' list_b= [] if "/" in str(var_v): var_v = eval(str(var_v)) list_b.append(var_v) if "/" in str(var_u): var_u = eval(str(var_u)) list_b.append(var_u) if "/" in str(var_t): var_t = eval(str(var_t)) list_b.append(var_t) if "/" in str(var_s): var_s = eval(str(var_s)) list_b.append(var_s) if "/" in str(var_r): var_r = eval(str(var_r)) list_b.append(var_r) if "/" in str(var_q): var_q = eval(str(var_q)) list_b.append(var_q) if "/" in str(var_p): var_p = eval(str(var_p)) list_b.append(var_p) if "/" in str(var_o): var_o = eval(str(var_o)) list_b.append(var_o) if "/" in str(var_n): var_n = eval(str(var_n)) list_b.append(var_n) list_b.reverse() var_w="" for i in list_b: i = str(i) var_w = var_w + i var_x = 'B' ans_dict = dict() var_w = var_w.replace('×','*') var_w = var_w.replace('x','*') var_w = var_w.replace('÷','/') variable_candi = set(['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']) for v in set(var_w): if v in variable_candi: ans_dict[v] = 1 candi = list(itertools.product('0123456789', repeat=len(ans_dict))) for c in candi: temp = var_w for i, (k, _) in enumerate(ans_dict.items()): temp = temp.replace(k, str(c[i])) term_list = [] op_list = [] temp_c = '' for tc in temp: if tc not in '+-*/=><().': temp_c += tc else: op_list.append(tc) term_list.append(temp_c) temp_c = '' term_list.append(temp_c) new_eq = '' for i in range(len(op_list)): new_eq += str(int(term_list[i]))+op_list[i] new_eq += str(int(term_list[-1])) if len(new_eq) == len(var_w): new_eq=new_eq.replace('=', '==') new_eq=new_eq.replace('>==', '>=') new_eq=new_eq.replace('<==', '<=') eval_result = False try: eval_result = eval(new_eq) except: pass if eval_result: for i, (k, _) in enumerate(ans_dict.items()): ans_dict[k] = int(c[i]) var_y = ans_dict[var_x] list_c= [] if "/" in str(var_y): var_y = eval(str(var_y)) list_c.append(var_y) if "/" in str(var_m): var_m = eval(str(var_m)) list_c.append(var_m) if "/" in str(var_l): var_l = eval(str(var_l)) list_c.append(var_l) list_c.reverse() var_z="" for i in list_c: i = str(i) var_z = var_z + i print(int(var_z))
Arithmetic calculation
Find the second smallest natural number that is greater than 500, and that has 3 as a remainder when divided by 7.
514
1 9999 1 [OP_LIST_ARANGE] 500 [OP_LIST_MORE] 7 3 [OP_LIST_DIVIDE_AND_REMAIN] 2 [OP_LIST_MIN]
var_a = 1 var_b = 9999 var_c = 1 list_a = [i for i in range(var_a, var_b + 1, var_c)] var_d = 500 list_b = [] for i in list_a: if i > var_d: list_b.append(i) var_e = 7 var_f = 3 list_c = [] var_e = int(var_e) var_f = int(var_f) if var_f < 0: var_f = var_f + var_e for i in list_b: i = int(i) if i%var_e == var_f: list_c.append(i) var_g = 2 list_d=list_c.copy() list_d.sort() var_h = list_d[var_g-1] print(int(var_h))
Arithmetic calculation
Seokgi and Yeseul are trying to share a wire with a length of 1 meter (m) and 50 centimeters (cm). How many centimeters (cm) of wire must Seokgi take in order for Seokgi's wire to be 16 centimeters (cm) shorter than Yeseul's?
67
1 100 [OP_MUL] 50 [OP_ADD] 16 [OP_SUB] 2 [OP_DIV]
var_a = 1 var_b = 100 var_c = var_a * var_b var_d = 50 var_e = var_c + var_d var_f = 16 var_g = var_e - var_f var_h = 2 var_i = var_g / var_h print(int(var_i))
Geometry
There is an equilateral triangle with a side length of 13/12 meters (m). What is the perimeter of this triangle?
3.25
13/12 3 [OP_MUL]
var_a = 1.0833333333333333 var_b = 3 var_c = var_a * var_b print('{:.2f}'.format(round(var_c+1e-10,2)))
Comparison
There are 4 pizzas in the shape of a circle. When the pi is 3.1, the area of pizza (a) is 314 cm2 (cm2), and the circumference of pizza (b) is 99.2 cm (cm). Also, the diameter of pizza (c) is 16 cm (cm), and the radius of pizza (d) is 12 centimeters (cm). When 4 pizzas are arranged in order from smallest to largest, which pizza is second from the right?
(a)
[OP_LIST_SOL] (a) (b) (c) (d) [OP_LIST_EOL] [OP_LIST_SOL] 314 99.2 3.1 [OP_DIV] 2 [OP_DIV] 2 [OP_POW] 3.1 [OP_MUL] 16 2 [OP_DIV] 2 [OP_POW] 3.1 [OP_MUL] 12 2 [OP_POW] 3.1 [OP_MUL] [OP_LIST_EOL] 2 [OP_LIST_MIN] [OP_LIST_INDEX] [OP_LIST_POP] [OP_LIST_GET]
var_a = '(a)' var_b = '(b)' var_c = '(c)' var_d = '(d)' list_a= [] if "/" in str(var_d): var_d = eval(str(var_d)) list_a.append(var_d) if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_e = 314 var_f = 99.2 var_g = 3.1 var_h = var_f / var_g var_i = 2 var_j = var_h / var_i var_k = 2 var_l = var_j ** var_k var_m = 3.1 var_n = var_l * var_m var_o = 16 var_p = 2 var_q = var_o / var_p var_r = 2 var_s = var_q ** var_r var_t = 3.1 var_u = var_s * var_t var_v = 12 var_w = 2 var_x = var_v ** var_w var_y = 3.1 var_z = var_x * var_y list_b= [] if "/" in str(var_z): var_z = eval(str(var_z)) list_b.append(var_z) if "/" in str(var_u): var_u = eval(str(var_u)) list_b.append(var_u) if "/" in str(var_n): var_n = eval(str(var_n)) list_b.append(var_n) if "/" in str(var_e): var_e = eval(str(var_e)) list_b.append(var_e) list_b.reverse() var_A = 2 list_c=list_b.copy() list_c.sort() var_B = list_c[var_A-1] var_C = list_b.index(var_B)+1 var_D = list_a[var_C-1] print(var_D)
Correspondence
A number added by 18 divided by 3 added by 10 divided by 5 subtracted by 3 equals 1. Find the number.
12
1 3 [OP_ADD] 5 [OP_MUL] 10 [OP_SUB] 3 [OP_MUL] 18 [OP_SUB]
var_a = 1 var_b = 3 var_c = var_a + var_b var_d = 5 var_e = var_c * var_d var_f = 10 var_g = var_e - var_f var_h = 3 var_i = var_g * var_h var_j = 18 var_k = var_i - var_j print(int(var_k))
Comparison
Namjoon was the 43th customer to buy the book at the bookstore, and there were 10 people in front of Namjoon when Taehyung bought the book. In this order, in which position did Taehyung buy the book?
32
43 10 [OP_SUB] 1 [OP_SUB]
var_a = 43 var_b = 10 var_c = var_a - var_b var_d = 1 var_e = var_c - var_d print(int(var_e))
Correspondence
What is the smallest natural number B that makes the following expression 360÷(A×A×A/B)=5 possible?
3
360÷(A×A×A/B)=5 B [OP_NUM_UNK_SOLVER] 1 [OP_LIST_MIN]
var_a = '360÷(A×A×A/B)=5' var_b = 'B' ans_dict = dict() var_a = var_a.replace('×','*') var_a = var_a.replace('x','*') var_a = var_a.replace('÷','/') variable_candi = set(['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']) for v in set(var_a): if v in variable_candi: ans_dict[v] = [] candidate_num = [i for i in range(51)] candi = list(itertools.product(candidate_num, repeat=len(ans_dict))) for c in candi: temp = var_a for i, (k, _) in enumerate(ans_dict.items()): temp = temp.replace(k, str(c[i])) term_list = [] op_list = [] temp_c = '' for tc in temp: if tc not in '+-*/=><().': temp_c += tc else: op_list.append(tc) term_list.append(temp_c) temp_c = '' term_list.append(temp_c) new_eq = '' for i in range(len(op_list)): if term_list[i] == '': new_eq += str(term_list[i])+op_list[i] else: new_eq += str(int(term_list[i]))+op_list[i] new_eq += str(int(term_list[-1])) new_eq=new_eq.replace('=', '==') new_eq=new_eq.replace('>==', '>=') new_eq=new_eq.replace('<==', '<=') eval_result = False try: if '=' in new_eq and '>' not in new_eq and '<' not in new_eq: new_eq=new_eq.replace('==','=') new_eq=new_eq.replace('>','') new_eq=new_eq.replace('<','') new_eq=new_eq.split('=') for i in range(len(new_eq)-1): eval_result = math.isclose(eval(new_eq[i]), eval(new_eq[i+1])) if not eval_result: break else: eval_result = eval(new_eq) except: eval_result = False pass if eval_result: for i, (k, _) in enumerate(ans_dict.items()): ans_dict[k].append(int(c[i])) list_a = list(set(ans_dict[var_b])) var_c = 1 list_b=list_a.copy() list_b.sort() var_d = list_b[var_c-1] print(int(var_d))
Geometry
When I arranged a few small square tiles without gaps to make a large square, there were 20 tiles left, so I tried to extend each horizontal and vertical side by 1 row to make a larger square, an there were 9 tiles short. How many tiles are there?
216
20 9 [OP_ADD] 1 [OP_SUB] 2 [OP_DIV] 2 [OP_POW] 20 [OP_ADD]
var_a = 20 var_b = 9 var_c = var_a + var_b var_d = 1 var_e = var_c - var_d var_f = 2 var_g = var_e / var_f var_h = 2 var_i = var_g ** var_h var_j = 20 var_k = var_i + var_j print(int(var_k))
Arithmetic calculation
I want to install traffic lights on the road. If traffic lights are installed from the beginning to the end by dividing them into 4 sections equally from the 0.35 kilometer (km) point to the 0.37 kilometer (km) point, indicate the kilometers (km) of the location of the traffic light installed at the fourth point as a decimal number.
0.37
0.35 0.37 0.35 [OP_SUB] 4 [OP_DIV] 4 1 [OP_SUB] [OP_MUL] [OP_ADD]
var_a = 0.35 var_b = 0.37 var_c = 0.35 var_d = var_b - var_c var_e = 4 var_f = var_d / var_e var_g = 4 var_h = 1 var_i = var_g - var_h var_j = var_f * var_i var_k = var_a + var_j print('{:.2f}'.format(round(var_k+1e-10,2)))
Geometry
When the small square-shaped notebooks were arranged to form a large square, there were 20 notebooks left. When I tried to increase the width and height by one row each, 9 notebooks were short. How many notebooks are there in total?
216
20 9 [OP_ADD] 1 [OP_SUB] 2 [OP_DIV] 2 [OP_POW] 20 [OP_ADD]
var_a = 20 var_b = 9 var_c = var_a + var_b var_d = 1 var_e = var_c - var_d var_f = 2 var_g = var_e / var_f var_h = 2 var_i = var_g ** var_h var_j = 20 var_k = var_i + var_j print(int(var_k))
Correspondence
33 is the result of subtracting 32 from a number by mistake instead of adding it. Find the result of the correct calculation.
97
33 32 [OP_ADD] 32 [OP_ADD]
var_a = 33 var_b = 32 var_c = var_a + var_b var_d = 32 var_e = var_c + var_d print(int(var_e))
Geometry
A rectangle was created by arranging 6 100-won coins horizontally and 4 vertically. How much amount of money is when you sum up the coins placed around the circumference?
1600
6 4 [OP_ADD] 2 [OP_MUL] 4 [OP_SUB] 100 [OP_MUL]
var_a = 6 var_b = 4 var_c = var_a + var_b var_d = 2 var_e = var_c * var_d var_f = 4 var_g = var_e - var_f var_h = 100 var_i = var_g * var_h print(int(var_i))
Correspondence
When A is divided by 5, the quotient is B and the remainder is C. A, B, and C is natural numbers. If B and C are equal, find the largest possible number of A.
24
5 1 [OP_SUB] 5 [OP_MUL] 5 1 [OP_SUB] [OP_ADD]
var_a = 5 var_b = 1 var_c = var_a - var_b var_d = 5 var_e = var_c * var_d var_f = 5 var_g = 1 var_h = var_f - var_g var_i = var_e + var_h print(int(var_i))
Arithmetic calculation
In winter, you saw a family of hungry squirrels and you are to give the acorns in your pocket. If you give them 4 acorns each, 3 acorns will be left, and if you gave them 5 acrons each, you will need 6 acorns more. How many acorns are there in your pocket?
39
3 6 [OP_ADD] 5 4 [OP_SUB] [OP_DIV] 4 [OP_MUL] 3 [OP_ADD]
var_a = 3 var_b = 6 var_c = var_a + var_b var_d = 5 var_e = 4 var_f = var_d - var_e var_g = var_c / var_f var_h = 4 var_i = var_g * var_h var_j = 3 var_k = var_i + var_j print(int(var_k))
Geometry
There is a rectangle with a width of 4 centimeters (cm) and a length of 8 centimeters (cm). What is the value of the perimeter of the rectangle subtracted by 4?
20
4 8 [OP_ADD] 2 [OP_MUL] 4 [OP_SUB]
var_a = 4 var_b = 8 var_c = var_a + var_b var_d = 2 var_e = var_c * var_d var_f = 4 var_g = var_e - var_f print(int(var_g))
Correspondence
I made the mistake of dividing a number by 6, when I should multiply a number by 6, and the quotient was 9. How much do you get when you calculate correctly?
324
9 6 [OP_MUL] 6 [OP_MUL]
var_a = 9 var_b = 6 var_c = var_a * var_b var_d = 6 var_e = var_c * var_d print(int(var_e))
Possibility
You want to take 2 balls out of a box that contains a red ball, a blue ball, and a black ball. What is the total number of cases of balls you can take out, allowing for duplicates?
6
[OP_LIST_SOL] red blue black [OP_LIST_EOL] [OP_LIST_LEN] 2 [OP_ADD] 1 [OP_SUB] 2 [OP_COMB]
var_a = 'red' var_b = 'blue' var_c = 'black' list_a= [] if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_d = len(list_a) var_e = 2 var_f = var_d + var_e var_g = 1 var_h = var_f - var_g var_i = 2 var_j = 1 var_h = int(var_h) var_i = int(var_i) for i, elem in enumerate(range(var_i)): var_j = var_j * (var_h-i) for i, elem in enumerate(range(var_i)): var_j = var_j / (i+1) print(int(var_j))
Arithmetic calculation
When 0.4 of the total rope was used, the remaining length was 0.69 m (m). Find the length of the first rope in meters (m).
1.15
0.69 1 0.4 [OP_SUB] [OP_DIV]
var_a = 0.69 var_b = 1 var_c = 0.4 var_d = var_b - var_c var_e = var_a / var_d print('{:.2f}'.format(round(var_e+1e-10,2)))
Geometry
The volume of a cube is 1000 cubic centimeters (cm3). When this cube is divided into 8 cubes, find the length of one edge of the divided cube.
5
1000 8 [OP_DIV] 1/3 [OP_POW]
var_a = 1000 var_b = 8 var_c = var_a / var_b var_d = 0.3333333333333333 var_e = var_c ** var_d print(int(eval('{:.2f}'.format(round(var_e+1e-10,2)))))
Geometry
A rectangular parallelepiped has three distinct sides with each surface area of 4 square centimeters (cm2), 3 square centimeters (cm2), and 6 square centimeters (cm2). What is the surface area of this cuboid in square centimeters (cm2)?
26
4 3 6 [OP_ADD] [OP_ADD] 2 [OP_MUL]
var_a = 4 var_b = 3 var_c = 6 var_d = var_b + var_c var_e = var_a + var_d var_f = 2 var_g = var_e * var_f print(int(var_g))
Comparison
Jimin jumped rope 80, 75, and 85 times during the three sets, respectively. If Seokjin jumped rope 78 times in the first set and 74 times in the second set, then how many times does Seokjin need to jump rope in the third set in order to jump rope more than Jimin?
89
80 75 [OP_ADD] 85 [OP_ADD] 78 74 [OP_ADD] [OP_SUB] 1 [OP_ADD]
var_a = 80 var_b = 75 var_c = var_a + var_b var_d = 85 var_e = var_c + var_d var_f = 78 var_g = 74 var_h = var_f + var_g var_i = var_e - var_h var_j = 1 var_k = var_i + var_j print(int(var_k))
Correspondence
A85-B1=364 is true. How much is A?
3
A85-B1=364 A [OP_DIGIT_UNK_SOLVER]
var_a = 'A85-B1=364' var_b = 'A' ans_dict = dict() var_a = var_a.replace('×','*') var_a = var_a.replace('x','*') var_a = var_a.replace('÷','/') variable_candi = set(['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']) for v in set(var_a): if v in variable_candi: ans_dict[v] = 1 candi = list(itertools.product('0123456789', repeat=len(ans_dict))) for c in candi: temp = var_a for i, (k, _) in enumerate(ans_dict.items()): temp = temp.replace(k, str(c[i])) term_list = [] op_list = [] temp_c = '' for tc in temp: if tc not in '+-*/=><().': temp_c += tc else: op_list.append(tc) term_list.append(temp_c) temp_c = '' term_list.append(temp_c) new_eq = '' for i in range(len(op_list)): new_eq += str(int(term_list[i]))+op_list[i] new_eq += str(int(term_list[-1])) if len(new_eq) == len(var_a): new_eq=new_eq.replace('=', '==') new_eq=new_eq.replace('>==', '>=') new_eq=new_eq.replace('<==', '<=') eval_result = False try: eval_result = eval(new_eq) except: pass if eval_result: for i, (k, _) in enumerate(ans_dict.items()): ans_dict[k] = int(c[i]) var_c = ans_dict[var_b] print(int(var_c))
Arithmetic calculation
At the first station where the train stops, 17 people got on and 29 got off. At the next station, after 27 people got off and 35 got on, I counted the number of people on the train, which was 116. How many people were on the train at first?
120
116 29 [OP_ADD] 17 [OP_SUB] 27 [OP_ADD] 35 [OP_SUB]
var_a = 116 var_b = 29 var_c = var_a + var_b var_d = 17 var_e = var_c - var_d var_f = 27 var_g = var_e + var_f var_h = 35 var_i = var_g - var_h print(int(var_i))
Geometry
There is a playground in the shape of an equilateral triangle with a side length of 10 meters (m). If street lights are installed at intervals of 3 meters (m) around the playground, find how many street lights have to be installed in all.
10
10 3 [OP_MUL] 3 [OP_FDIV]
var_a = 10 var_b = 3 var_c = var_a * var_b var_d = 3 var_e = var_c // var_d print(int(var_e))
Correspondence
If we round down the number A567 to the nearest tens, we get a value of 2560. What value is A?
2
A567 [OP_GEN_POSSIBLE_LIST] 2560 [OP_LIST_MORE_EQUAL] 2560 10 [OP_ADD] [OP_LIST_LESS] A567 A [OP_LIST_FIND_UNK]
var_a = 'A567' ans_dict = dict() var_a = str(var_a) list_a = [] variable_candi = set(['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']) for v in set(var_a): if v in variable_candi: ans_dict[v] = 0 candi = list(itertools.product('0123456789', repeat=len(ans_dict))) for c in candi: temp = var_a for i, (k, _) in enumerate(ans_dict.items()): temp = temp.replace(k, str(c[i])) if len(var_a) == len(str(int(temp))): new_elem = int(temp) list_a.append(new_elem) var_b = 2560 list_b = [] for i in list_a: if i >= var_b: list_b.append(i) var_c = 2560 var_d = 10 var_e = var_c + var_d list_c = [] for i in list_b: if i < var_e: list_c.append(i) var_f = 'A567' var_g = 'A' var_f = str(var_f) var_g = str(var_g) unk_idx = var_f.index(var_g) var_h = 0 for elem in list_c: elem = str(elem) var_h = int(elem[unk_idx]) print(int(var_h))
Comparison
Dongkyun is taller than Jungkook and Dongwook is taller than Jungkook. If you compared the heights of Dongwook and Dongkyun, and Dongwook was shorter, who was the tallest?
Dongkyun
[OP_LIST_SOL] Dongkyun Jungkook Dongwook [OP_LIST_EOL] [OP_LIST_SOL] Dongkyun Jungkook > Dongwook Jungkook > Dongwook Dongkyun < [OP_LIST_EOL] [OP_LIST_COND_MAX_MIN] 1 [OP_LIST_GET]
var_a = 'Dongkyun' var_b = 'Jungkook' var_c = 'Dongwook' list_a= [] if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_d = 'Dongkyun' var_e = 'Jungkook' var_f = '>' var_g = 'Dongwook' var_h = 'Jungkook' var_i = '>' var_j = 'Dongwook' var_k = 'Dongkyun' var_l = '<' list_b= [] if "/" in str(var_l): var_l = eval(str(var_l)) list_b.append(var_l) if "/" in str(var_k): var_k = eval(str(var_k)) list_b.append(var_k) if "/" in str(var_j): var_j = eval(str(var_j)) list_b.append(var_j) if "/" in str(var_i): var_i = eval(str(var_i)) list_b.append(var_i) if "/" in str(var_h): var_h = eval(str(var_h)) list_b.append(var_h) if "/" in str(var_g): var_g = eval(str(var_g)) list_b.append(var_g) if "/" in str(var_f): var_f = eval(str(var_f)) list_b.append(var_f) if "/" in str(var_e): var_e = eval(str(var_e)) list_b.append(var_e) if "/" in str(var_d): var_d = eval(str(var_d)) list_b.append(var_d) list_b.reverse() global item_name_index_dict items_name_list = list_a.copy() conditions = [] condition_list = list_b.copy() temp_stack = [] for index_, cond_ in enumerate(map(str, condition_list)): if cond_ in ("<", ">", "="): operand_right = temp_stack.pop() operand_left = temp_stack.pop() if cond_ == "=": cond_ = "==" conditions.append(f"{operand_left} {cond_} {operand_right}") else: if not cond_.isdigit(): cond_ = "{" + cond_ + "}" temp_stack.append(cond_) item_name_index_dict = {} for perm in itertools.permutations(range(1, len(items_name_list) + 1)): item_name_index_dict = dict(zip(items_name_list, perm)) formatted_conditions = \ [condition.format_map(item_name_index_dict) for condition in conditions] if all(map(eval, formatted_conditions)): break list_c = list(item_name_index_dict.keys()) list_c.sort(key=item_name_index_dict.get, reverse=True) var_m = 1 var_n = list_c[var_m-1] print(var_n)
Arithmetic calculation
You want to give dolls to students in a class. There were 3 dolls left when 4 dolls were distributed to each person, and 6 were in short when 5 dolls were given to each one. What is the total number of students in this class?
9
3 6 [OP_ADD] 5 4 [OP_SUB] [OP_DIV]
var_a = 3 var_b = 6 var_c = var_a + var_b var_d = 5 var_e = 4 var_f = var_d - var_e var_g = var_c / var_f print(int(var_g))
Geometry
There are 10 balls in the box. When Yoongi takes 3 balls from the box, how many balls are left?
7
10 3 [OP_SUB]
var_a = 10 var_b = 3 var_c = var_a - var_b print(int(var_c))
Possibility
Ohyoung bought a total of 5 serial magazines from January to May. Find the number of cases in which 5 books are placed in a row on the shelf when the January, March, and May issues are placed on the rightmost shelf in that order. (However, there is only one row of bookshelves.)
2
5 [OP_LIST_SOL] 1 3 5 [OP_LIST_EOL] [OP_LIST_LEN] [OP_SUB] 5 [OP_LIST_SOL] 1 3 5 [OP_LIST_EOL] [OP_LIST_LEN] [OP_SUB] [OP_PERM]
var_a = 5 var_b = 1 var_c = 3 var_d = 5 list_a= [] if "/" in str(var_d): var_d = eval(str(var_d)) list_a.append(var_d) if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) list_a.reverse() var_e = len(list_a) var_f = var_a - var_e var_g = 5 var_h = 1 var_i = 3 var_j = 5 list_b= [] if "/" in str(var_j): var_j = eval(str(var_j)) list_b.append(var_j) if "/" in str(var_i): var_i = eval(str(var_i)) list_b.append(var_i) if "/" in str(var_h): var_h = eval(str(var_h)) list_b.append(var_h) list_b.reverse() var_k = len(list_b) var_l = var_g - var_k var_m = 1 var_f = int(var_f) var_l = int(var_l) for i, elem in enumerate(range(var_l)): var_m = var_m * (var_f-i) print(int(var_m))
Correspondence
The four digit number 5716 is greater than 571A. Given that A is the ones digit and can contain any number from 0 to 9, how many digits can be written in A?
6
571A [OP_GEN_POSSIBLE_LIST] 5716 [OP_LIST_LESS] [OP_LIST_LEN]
var_a = '571A' ans_dict = dict() var_a = str(var_a) list_a = [] variable_candi = set(['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']) for v in set(var_a): if v in variable_candi: ans_dict[v] = 0 candi = list(itertools.product('0123456789', repeat=len(ans_dict))) for c in candi: temp = var_a for i, (k, _) in enumerate(ans_dict.items()): temp = temp.replace(k, str(c[i])) if len(var_a) == len(str(int(temp))): new_elem = int(temp) list_a.append(new_elem) var_b = 5716 list_b = [] for i in list_a: if i < var_b: list_b.append(i) var_c = len(list_b) print(int(var_c))
Arithmetic calculation
7 bundles of 2 ping-pong balls are put into one box and stored. If there are 182 ping-pong balls, how many boxes are needed?
13
182 7 2 [OP_MUL] [OP_DIV]
var_a = 182 var_b = 7 var_c = 2 var_d = var_b * var_c var_e = var_a / var_d print(int(var_e))
Comparison
Kyung-seok studies Korean 7 times a week for 2/3 hours and Math 5 times a week for 3/4 hours. Find out which subject Kyung-seok studies more during the week, Korean or Math.
Korean
[OP_LIST_SOL] Korean Math [OP_LIST_EOL] [OP_LIST_SOL] 2/3 7 [OP_MUL] 3/4 5 [OP_MUL] [OP_LIST_EOL] 1 [OP_LIST_MAX] [OP_LIST_INDEX] [OP_LIST_POP] [OP_LIST_GET]
var_a = 'Korean' var_b = 'Math' list_a= [] if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_c = 0.6666666666666666 var_d = 7 var_e = var_c * var_d var_f = 0.75 var_g = 5 var_h = var_f * var_g list_b= [] if "/" in str(var_h): var_h = eval(str(var_h)) list_b.append(var_h) if "/" in str(var_e): var_e = eval(str(var_e)) list_b.append(var_e) list_b.reverse() var_i = 1 list_c=list_b.copy() list_c.sort() var_j = list_c[-var_i] var_k = list_b.index(var_j)+1 var_l = list_a[var_k-1] print(var_l)
Arithmetic calculation
Find out how many two-digit numbers exist that are less than 36 and greater than 29.
6
29 1 [OP_ADD] 36 1 [OP_SUB] 1 [OP_LIST_ARANGE] [OP_LIST_LEN]
var_a = 29 var_b = 1 var_c = var_a + var_b var_d = 36 var_e = 1 var_f = var_d - var_e var_g = 1 list_a = [i for i in range(var_c, var_f + 1, var_g)] var_h = len(list_a) print(int(var_h))
Geometry
You want to find the length of the diameter of a circle. If the length of the radius is 7 centimeters (cm), what is the length of the diameter in centimeters (cm)?
14
7 2 [OP_MUL]
var_a = 7 var_b = 2 var_c = var_a * var_b print(int(var_c))
Possibility
Using the number cards 1, 6, and 8 all once, find the sum of the second smallest three-digit number and the third smallest three-digit number.
804
[OP_LIST_SOL] 1 6 8 [OP_LIST_EOL] 3 [OP_LIST_GET_PERM] 2 [OP_LIST_MIN] 3 [OP_LIST_GET] [OP_ADD]
var_a = 1 var_b = 6 var_c = 8 list_a= [] if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_d = 3 list_b = [str(i) for i in list_a] list_b = list(itertools.permutations(list_b, var_d)) list_b = [''.join(num_list) for num_list in list_b] list_b = [str_num for str_num in list_b if str_num[0] != '0'] list_b = [float(i) for i in list_b] var_e = 2 list_c=list_b.copy() list_c.sort() var_f = list_c[var_e-1] var_g = 3 var_h = list_b[var_g-1] var_i = var_f + var_h print(int(var_i))
Possibility
How many two-digit numbers can be formed by selecting two different numbers from 1, 3, and 4?
6
[OP_LIST_SOL] 1 3 4 [OP_LIST_EOL] 2 [OP_LIST_GET_PERM] [OP_LIST_LEN]
var_a = 1 var_b = 3 var_c = 4 list_a= [] if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_d = 2 list_b = [str(i) for i in list_a] list_b = list(itertools.permutations(list_b, var_d)) list_b = [''.join(num_list) for num_list in list_b] list_b = [str_num for str_num in list_b if str_num[0] != '0'] list_b = [float(i) for i in list_b] var_e = len(list_b) print(int(var_e))
Correspondence
There are 901 Go stones. If a total of 53 Go stones are required to play a round of Gomok, how many rounds of Gomok can be played at the same time?
17
901 53 [OP_DIV]
var_a = 901 var_b = 53 var_c = var_a / var_b print(int(var_c))
Possibility
How many four-digit numbers that contain all digits of 3, 4, 9, 8 and with 3 in the thousands digit are there?
6
[OP_LIST_SOL] 3 4 9 8 [OP_LIST_EOL] 4 [OP_LIST_GET_PERM] 1000 3 [OP_LIST_SEARCH_FIXED_DIGIT] [OP_LIST_LEN]
var_a = 3 var_b = 4 var_c = 9 var_d = 8 list_a= [] if "/" in str(var_d): var_d = eval(str(var_d)) list_a.append(var_d) if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_e = 4 list_b = [str(i) for i in list_a] list_b = list(itertools.permutations(list_b, var_e)) list_b = [''.join(num_list) for num_list in list_b] list_b = [str_num for str_num in list_b if str_num[0] != '0'] list_b = [float(i) for i in list_b] var_f = 1000 var_g = 3 list_c = [] var_f = int(var_f) var_g = int(var_g) for i in list_b: i = int(i) if (i//var_f)%10 == var_g: list_c.append(i) var_h = len(list_c) print(int(var_h))
Comparison
Yoongi has 4, and Jungkook has the number that is calculated by 6 divided by 3. Who got the smaller number?
Jungkook
[OP_LIST_SOL] Yoongi Jungkook [OP_LIST_EOL] [OP_LIST_SOL] 4 6 3 [OP_FDIV] [OP_LIST_EOL] 1 [OP_LIST_MIN] [OP_LIST_INDEX] [OP_LIST_POP] [OP_LIST_GET]
var_a = 'Yoongi' var_b = 'Jungkook' list_a= [] if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_c = 4 var_d = 6 var_e = 3 var_f = var_d // var_e list_b= [] if "/" in str(var_f): var_f = eval(str(var_f)) list_b.append(var_f) if "/" in str(var_c): var_c = eval(str(var_c)) list_b.append(var_c) list_b.reverse() var_g = 1 list_c=list_b.copy() list_c.sort() var_h = list_c[var_g-1] var_i = list_b.index(var_h)+1 var_j = list_a[var_i-1] print(var_j)
Correspondence
A and B are single digit numbers, and five-digit number of A835B is a multiple of 12. What is the difference between the largest and smallest of the possible numbers of A835B?
69996
A835B [OP_GEN_POSSIBLE_LIST] 12 [OP_LIST_DIVISIBLE] 1 [OP_LIST_MAX] 1 [OP_LIST_MIN] [OP_SUB]
var_a = 'A835B' ans_dict = dict() var_a = str(var_a) list_a = [] variable_candi = set(['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']) for v in set(var_a): if v in variable_candi: ans_dict[v] = 0 candi = list(itertools.product('0123456789', repeat=len(ans_dict))) for c in candi: temp = var_a for i, (k, _) in enumerate(ans_dict.items()): temp = temp.replace(k, str(c[i])) if len(var_a) == len(str(int(temp))): new_elem = int(temp) list_a.append(new_elem) var_b = 12 list_b = [] var_b = int(var_b) for i in list_a: i = int(i) if i % var_b == 0: list_b.append(i) var_c = 1 list_c=list_b.copy() list_c.sort() var_d = list_c[-var_c] var_e = 1 list_d=list_b.copy() list_d.sort() var_f = list_d[var_e-1] var_g = var_d - var_f print(int(var_g))
Geometry
There is a rectangular room with an area of 215.6 square meters (m2). When I measured the width of this room, it came out to be 14 meters (m), and the moment I tried to measure the length, the tape measure broke. If you use the information that the area of the room is 215.6 square meters (m2), how much is the vertical length?
15.4
215.6 14 [OP_DIV]
var_a = 215.6 var_b = 14 var_c = var_a / var_b print('{:.2f}'.format(round(var_c+1e-10,2)))
Geometry
Miyoung has a square-shaped piece of chocolate with a side measuring 10 centimeters (cm). She is going to cut this chocolate into right triangle-shaped pieces with a width of 1 centimeter (cm) and a height of 3 centimeters (cm) and hand them out to her friends. How many right triangle-shaped chocolate pieces can she hand out?
66
10 2 [OP_POW] 1 3 [OP_MUL] [OP_FDIV] 2 [OP_MUL]
var_a = 10 var_b = 2 var_c = var_a ** var_b var_d = 1 var_e = 3 var_f = var_d * var_e var_g = var_c // var_f var_h = 2 var_i = var_g * var_h print(int(var_i))
Arithmetic calculation
People lined up in front of the store to buy ice cream. Five people stand between the person standing at the front and the person standing at the last. How many people are in line?
7
5 2 [OP_ADD]
var_a = 5 var_b = 2 var_c = var_a + var_b print(int(var_c))
Correspondence
If you distribute 160 bottles of milk, 197 apples, and 229 bread equally to the villagers, you will have 4 bottles of milk left, 2 apples left, and 5 bread short. How many villagers are there at this time?
39
197 2 [OP_SUB] 160 4 [OP_SUB] [OP_GCD] 229 5 [OP_ADD] [OP_GCD]
var_a = 197 var_b = 2 var_c = var_a - var_b var_d = 160 var_e = 4 var_f = var_d - var_e var_g = math.gcd(int(var_f), int(var_c)) var_h = 229 var_i = 5 var_j = var_h + var_i var_k = math.gcd(int(var_j), int(var_g)) print(int(var_k))
Arithmetic calculation
When you buy fish at the market, if you buy 8,000 won worth of fish, you get a 1,200 won discount. How much discount can I get if I buy 15,000 won worth of fish?
2250
1200 8000 [OP_DIV] 15000 [OP_MUL]
var_a = 1200 var_b = 8000 var_c = var_a / var_b var_d = 15000 var_e = var_c * var_d print(int(var_e))
Correspondence
Moving a decimal point two places to the right equals 138.6 added to the original decimal. Find the original prime number.
1.4
138.6 10 2 [OP_POW] 1 [OP_SUB] [OP_DIV]
var_a = 138.6 var_b = 10 var_c = 2 var_d = var_b ** var_c var_e = 1 var_f = var_d - var_e var_g = var_a / var_f print('{:.2f}'.format(round(var_g+1e-10,2)))
Arithmetic calculation
If a watermelon sold at a store is 2,000 won cheaper than 50,000 won, find the price of the watermelon in the unit of ten thousand won.
4.8
5 2 10 [OP_DIV] [OP_SUB]
var_a = 5 var_b = 2 var_c = 10 var_d = var_b / var_c var_e = var_a - var_d print('{:.2f}'.format(round(var_e+1e-10,2)))
Geometry
What is the volume, in cubic centimeters (cm³), of the rectangular prism with a base perimeter of 32 centimeters (cm) and a height of 9 centimeters (cm), where the base has the maximum possible area?
576
32 4 [OP_DIV] 2 [OP_POW] 9 [OP_MUL]
var_a = 32 var_b = 4 var_c = var_a / var_b var_d = 2 var_e = var_c ** var_d var_f = 9 var_g = var_e * var_f print(int(var_g))
Correspondence
When 3+68A=691, what number should be in A, where 68A is three-digit number?
8
3+68A=691 A [OP_DIGIT_UNK_SOLVER]
var_a = '3+68A=691' var_b = 'A' ans_dict = dict() var_a = var_a.replace('×','*') var_a = var_a.replace('x','*') var_a = var_a.replace('÷','/') variable_candi = set(['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z']) for v in set(var_a): if v in variable_candi: ans_dict[v] = 1 candi = list(itertools.product('0123456789', repeat=len(ans_dict))) for c in candi: temp = var_a for i, (k, _) in enumerate(ans_dict.items()): temp = temp.replace(k, str(c[i])) term_list = [] op_list = [] temp_c = '' for tc in temp: if tc not in '+-*/=><().': temp_c += tc else: op_list.append(tc) term_list.append(temp_c) temp_c = '' term_list.append(temp_c) new_eq = '' for i in range(len(op_list)): new_eq += str(int(term_list[i]))+op_list[i] new_eq += str(int(term_list[-1])) if len(new_eq) == len(var_a): new_eq=new_eq.replace('=', '==') new_eq=new_eq.replace('>==', '>=') new_eq=new_eq.replace('<==', '<=') eval_result = False try: eval_result = eval(new_eq) except: pass if eval_result: for i, (k, _) in enumerate(ans_dict.items()): ans_dict[k] = int(c[i]) var_c = ans_dict[var_b] print(int(var_c))
Correspondence
A number multiplied by 6 plus 17 divided by 5 equals 25. Find the value of a number minus 14.
4
25 5 [OP_MUL] 17 [OP_SUB] 6 [OP_DIV] 14 [OP_SUB]
var_a = 25 var_b = 5 var_c = var_a * var_b var_d = 17 var_e = var_c - var_d var_f = 6 var_g = var_e / var_f var_h = 14 var_i = var_g - var_h print(int(var_i))
Comparison
If a basket weighing 0.2 kilograms (kg) contains 3 melons of the same weight, the basket weighs 2.51 kilograms (kg), and if it contains 5 apples of the same weight, the basket weighs 2.9 kilograms (kg). Find which is heavier: an apple or a melon.
melon
[OP_LIST_SOL] apple melon [OP_LIST_EOL] [OP_LIST_SOL] 2.9 0.2 [OP_SUB] 5 [OP_DIV] 2.51 0.2 [OP_SUB] 3 [OP_DIV] [OP_LIST_EOL] 1 [OP_LIST_MAX] [OP_LIST_INDEX] [OP_LIST_POP] [OP_LIST_GET]
var_a = 'apple' var_b = 'melon' list_a= [] if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_c = 2.9 var_d = 0.2 var_e = var_c - var_d var_f = 5 var_g = var_e / var_f var_h = 2.51 var_i = 0.2 var_j = var_h - var_i var_k = 3 var_l = var_j / var_k list_b= [] if "/" in str(var_l): var_l = eval(str(var_l)) list_b.append(var_l) if "/" in str(var_g): var_g = eval(str(var_g)) list_b.append(var_g) list_b.reverse() var_m = 1 list_c=list_b.copy() list_c.sort() var_n = list_c[-var_m] var_o = list_b.index(var_n)+1 var_p = list_a[var_o-1] print(var_p)
Correspondence
When a number is divided by 37, the quotient is 2 and the remainder is 26. Find the value of 48 minus the quotient of a number divided by 4.
23
48 37 2 [OP_MUL] 26 [OP_ADD] 4 [OP_DIV] [OP_SUB]
var_a = 48 var_b = 37 var_c = 2 var_d = var_b * var_c var_e = 26 var_f = var_d + var_e var_g = 4 var_h = var_f / var_g var_i = var_a - var_h print(int(var_i))
Comparison
In the running race, Namjoon came in second, and after Namjoon came in, four more people came in, and then Yoongi came in. Hoseok came in after Yoongi and three more people came in. What is Hoseok's rank?
9
2 4 [OP_ADD] 3 [OP_ADD]
var_a = 2 var_b = 4 var_c = var_a + var_b var_d = 3 var_e = var_c + var_d print(int(var_e))
Comparison
Find the product of the largest number and smallest number multiplied among 0.34, 2/4, 9/11, 0.22, and 0.76.
0.18
[OP_LIST_SOL] 0.34 2 4 [OP_DIV] 9 11 [OP_DIV] 0.22 0.76 [OP_LIST_EOL] 1 [OP_LIST_MAX] 1 [OP_LIST_MIN] [OP_MUL]
var_a = 0.34 var_b = 2 var_c = 4 var_d = var_b / var_c var_e = 9 var_f = 11 var_g = var_e / var_f var_h = 0.22 var_i = 0.76 list_a= [] if "/" in str(var_i): var_i = eval(str(var_i)) list_a.append(var_i) if "/" in str(var_h): var_h = eval(str(var_h)) list_a.append(var_h) if "/" in str(var_g): var_g = eval(str(var_g)) list_a.append(var_g) if "/" in str(var_d): var_d = eval(str(var_d)) list_a.append(var_d) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_j = 1 list_b=list_a.copy() list_b.sort() var_k = list_b[-var_j] var_l = 1 list_c=list_a.copy() list_c.sort() var_m = list_c[var_l-1] var_n = var_k * var_m print('{:.2f}'.format(round(var_n+1e-10,2)))
Correspondence
You get a wrong answer 58 when the division of a number by 5 is added by 16. If the correct calculation should be a number divided by 15 and then added by 74, what would be the right answer?
88
58 16 [OP_SUB] 5 [OP_MUL] 15 [OP_DIV] 74 [OP_ADD]
var_a = 58 var_b = 16 var_c = var_a - var_b var_d = 5 var_e = var_c * var_d var_f = 15 var_g = var_e / var_f var_h = 74 var_i = var_g + var_h print(int(var_i))
Comparison
When a box weighing 250 grams (g) was filled with sand and weighed, it was 1 kg (kg) 780 grams (g). When a bucket weighing 460 grams (g) was filled with sand and weighed, it was 2 kg (kg) 250 grams (g). Which is heavier, the sand in the box or that in the bucket?
bucket
[OP_LIST_SOL] box bucket [OP_LIST_EOL] [OP_LIST_SOL] 1 1000 [OP_MUL] 780 [OP_ADD] 250 [OP_SUB] 2 1000 [OP_MUL] 250 [OP_ADD] 460 [OP_SUB] [OP_LIST_EOL] 1 [OP_LIST_MAX] [OP_LIST_INDEX] [OP_LIST_POP] [OP_LIST_GET]
var_a = 'box' var_b = 'bucket' list_a= [] if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_c = 1 var_d = 1000 var_e = var_c * var_d var_f = 780 var_g = var_e + var_f var_h = 250 var_i = var_g - var_h var_j = 2 var_k = 1000 var_l = var_j * var_k var_m = 250 var_n = var_l + var_m var_o = 460 var_p = var_n - var_o list_b= [] if "/" in str(var_p): var_p = eval(str(var_p)) list_b.append(var_p) if "/" in str(var_i): var_i = eval(str(var_i)) list_b.append(var_i) list_b.reverse() var_q = 1 list_c=list_b.copy() list_c.sort() var_r = list_c[-var_q] var_s = list_b.index(var_r)+1 var_t = list_a[var_s-1] print(var_t)
Geometry
There are five cuboids each with a height of 4 centimeters (cm), 7 centimeters (cm), 6 centimeters (cm), 9 centimeters (cm), and 2 centimeters (cm), and with a base area of 10 square centimeters (cm2). How many of these cuboids have a volume of 50 cubic centimeters (cm3) or less?
2
[OP_LIST_SOL] 4 7 6 9 2 [OP_LIST_EOL] 50 10 [OP_DIV] [OP_LIST_LESS_EQUAL] [OP_LIST_LEN]
var_a = 4 var_b = 7 var_c = 6 var_d = 9 var_e = 2 list_a= [] if "/" in str(var_e): var_e = eval(str(var_e)) list_a.append(var_e) if "/" in str(var_d): var_d = eval(str(var_d)) list_a.append(var_d) if "/" in str(var_c): var_c = eval(str(var_c)) list_a.append(var_c) if "/" in str(var_b): var_b = eval(str(var_b)) list_a.append(var_b) if "/" in str(var_a): var_a = eval(str(var_a)) list_a.append(var_a) list_a.reverse() var_f = 50 var_g = 10 var_h = var_f / var_g list_b = [] for i in list_a: if i <= var_h: list_b.append(i) var_i = len(list_b) print(int(var_i))
Correspondence
4 is the result of mistakenly subtracted 23 from a number when you should have multiplied by 23. Find the value when you calculate correctly?
621
23 23 4 [OP_ADD] [OP_MUL]
var_a = 23 var_b = 23 var_c = 4 var_d = var_b + var_c var_e = var_a * var_d print(int(var_e))
Correspondence
When 82.04 is divided by a certain number, it is divisible and the quotient was 28. What number is that certain number?
2.93
82.04 28 [OP_DIV]
var_a = 82.04 var_b = 28 var_c = var_a / var_b print('{:.2f}'.format(round(var_c+1e-10,2)))