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5.97k
Correspondence
Divide 107.8 by some number to get 9.8. Find out what the number is.
11
107.8 9.8 [OP_DIV]
var_a = 107.8 var_b = 9.8 var_c = var_a / var_b print(int(eval('{:.2f}'.format(round(var_c+1e-10,2)))))
Arithmetic calculation
There are 49, 31, 76 and 62. Find the value of the largest number minus the smallest number.
45
[OP_LIST_SOL] 49 31 76 62 [OP_LIST_EOL] 1 [OP_LIST_MAX] 1 [OP_LIST_MIN] [OP_SUB]
var_a = 49 var_b = 31 var_c = 76 var_d = 62 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 = 1 list_b=list_a.copy() list_b.sort() var_f = list_b[-var_e] var_g = 1 list_c=list_a.copy() list_c.sort() var_h = list_c[var_g-1] var_i = var_f - var_h print(int(var_i))
Possibility
In Yoongi's class, there are 4 people who are running for the presidenct and the vice presidenct. How many ways can a class president and vice president be selected out of the four students?
12
4 2 [OP_PERM]
var_a = 4 var_b = 2 var_c = 1 var_a = int(var_a) var_b = int(var_b) for i, elem in enumerate(range(var_b)): var_c = var_c * (var_a-i) print(int(var_c))
Arithmetic calculation
Heeju's school has 500 students. Among them, 337 students like the sea, 289 students like the mountains, and 56 students do not like either the mountains or the sea. At this time, how many students like both the mountains and the sea?
182
289 337 [OP_ADD] 500 56 [OP_SUB] [OP_SUB]
var_a = 289 var_b = 337 var_c = var_a + var_b var_d = 500 var_e = 56 var_f = var_d - var_e var_g = var_c - var_f print(int(var_g))
Correspondence
A large ice cream container contains 8050 grams (g) of ice cream. You scooped out some of the ice cream and weighed it on a scale, and it was 80.5 grams (g). Find the amount of scooped ice cream relative to the total ice cream.
0.01
80.5 8050 [OP_DIV]
var_a = 80.5 var_b = 8050 var_c = var_a / var_b print('{:.2f}'.format(round(var_c+1e-10,2)))
Arithmetic calculation
How many three-digit numbers are divisible by 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))
Arithmetic calculation
How many numbers greater than 40 and less than or equal to 80 are multiples of 8?
5
40 1 [OP_ADD] 80 1 [OP_LIST_ARANGE] 8 [OP_LIST_DIVISIBLE] [OP_LIST_LEN]
var_a = 40 var_b = 1 var_c = var_a + var_b var_d = 80 var_e = 1 list_a = [i for i in range(var_c, var_d + 1, var_e)] var_f = 8 list_b = [] var_f = int(var_f) for i in list_a: i = int(i) if i % var_f == 0: list_b.append(i) var_g = len(list_b) print(int(var_g))
Arithmetic calculation
The number of students in the 3rd and 5th grades combined in a school is equal to the number of students in the 4th and 6th grades combined. Find the difference between the number of students in the 5th and 6th grades when the number of students in the 3rd and 4th grades is 217 and 196, respectively.
21
217 196 [OP_SUB] [OP_ABS]
var_a = 217 var_b = 196 var_c = var_a - var_b var_d = abs(var_c) print(int(var_d))
Comparison
There are 4 boxes - (a), (b), (c), and (d). Box (b) is larger than box (d). Box (a) is smaller than box (d). Box (b) is smaller than box (c). Which box is the smallest in size?
(a)
[OP_LIST_SOL] (a) (b) (c) (d) [OP_LIST_EOL] [OP_LIST_SOL] (b) (d) > (d) (a) > (c) (b) > [OP_LIST_EOL] [OP_LIST_COND_MAX_MIN] [OP_LIST_LEN] [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 = '(b)' var_f = '(d)' var_g = '>' var_h = '(d)' var_i = '(a)' var_j = '>' var_k = '(c)' var_l = '(b)' 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
Find out how many three-digit numbers that are less than 900 and greater than 600 are composed of the three numbers 6, 4, and 9.
2
[OP_LIST_SOL] 6 4 9 [OP_LIST_EOL] 3 [OP_LIST_GET_PERM] 600 [OP_LIST_MORE] 900 [OP_LIST_LESS] [OP_LIST_LEN]
var_a = 6 var_b = 4 var_c = 9 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 = 600 list_c = [] for i in list_b: if i > var_e: list_c.append(i) var_f = 900 list_d = [] for i in list_c: if i < var_f: list_d.append(i) var_g = len(list_d) print(int(var_g))
Possibility
Toby wants to make a number greater than 550 by moving the digit position of 458. How many are possible?
3
458 [OP_NUM2LIST] 3 [OP_LIST_GET_PERM] 550 [OP_LIST_MORE] [OP_LIST_LEN]
var_a = 458 list_a = [] var_a = int(var_a) while var_a//10 > 0: list_a.append(var_a%10) var_a = var_a//10 list_a.append(var_a%10) list_a = list_a[::-1] var_b = 3 list_b = [str(i) for i in list_a] list_b = list(itertools.permutations(list_b, var_b)) 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_c = 550 list_c = [] for i in list_b: if i > var_c: list_c.append(i) var_d = len(list_c) print(int(var_d))
Geometry
There is a square that has the same perimeter as a regular hexagon with a side of 6 centimeters (cm). How long is one side of the square in centimeters (cm)?
9
6 6 [OP_MUL] 4 [OP_DIV]
var_a = 6 var_b = 6 var_c = var_a * var_b var_d = 4 var_e = var_c / var_d print(int(var_e))
Possibility
You want to create decimal numbers by using all three number cards: 1, 2, and 7 once. Find the product of the largest two-digit number and the smallest one-digit number that can be made.
91.57
[OP_LIST_SOL] 1 2 7 [OP_LIST_EOL] 3 [OP_LIST_GET_PERM] 1 [OP_LIST_MAX] 10 3 2 [OP_SUB] [OP_POW] [OP_DIV] 1 [OP_LIST_MIN] 10 3 1 [OP_SUB] [OP_POW] [OP_DIV] [OP_MUL]
var_a = 1 var_b = 2 var_c = 7 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 = 1 list_c=list_b.copy() list_c.sort() var_f = list_c[-var_e] var_g = 10 var_h = 3 var_i = 2 var_j = var_h - var_i var_k = var_g ** var_j var_l = var_f / var_k var_m = 1 list_d=list_b.copy() list_d.sort() var_n = list_d[var_m-1] var_o = 10 var_p = 3 var_q = 1 var_r = var_p - var_q var_s = var_o ** var_r var_t = var_n / var_s var_u = var_l * var_t print('{:.2f}'.format(round(var_u+1e-10,2)))
Arithmetic calculation
I have a ribbon tape that is 28 meters (m) long. If you cut this ribbon tape to make ribbons, each of which are 1.12 meter (m) long, how many ribbons can you make?
25
28 1.12 [OP_DIV] 1 [OP_CEIL]
var_a = 28 var_b = 1.12 var_c = var_a / var_b var_d = 1 var_e=int(((var_c+9*10**(var_d-2))//(10**(var_d-1)))*10**(var_d-1)) print(int(var_e))
Comparison
It is said that 2/7 of the participants in the sports day are on the white team and 3/8 are on the blue team. Which team will have more participants?
blue
[OP_LIST_SOL] white blue [OP_LIST_EOL] [OP_LIST_SOL] 2/7 3/8 [OP_LIST_EOL] 1 [OP_LIST_MAX] [OP_LIST_INDEX] [OP_LIST_POP] [OP_LIST_GET]
var_a = 'white' var_b = 'blue' 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 = 0.2857142857142857 var_d = 0.375 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)
Arithmetic calculation
We are going to install flags on the playground at intervals of 20 meters (m). If there are 12 flags and the circumference of the field is 200 meters (m), how many flags are left?
2
12 200 20 [OP_DIV] [OP_SUB]
var_a = 12 var_b = 200 var_c = 20 var_d = var_b / var_c var_e = var_a - var_d print(int(var_e))
Possibility
You want to wrap 54 chocolates without any leftovers. How many ways can it be packed? (However, packing 54 at once is not considered.)
7
54 [OP_LIST_GET_DIVISOR] [OP_LIST_SOL] 54 [OP_LIST_EOL] [OP_SET_DIFFERENCE] [OP_LIST_LEN]
var_a = 54 list_a = [] num_sqrt = int(math.sqrt(var_a)) for i in range(1, num_sqrt+1): if var_a % i == 0: list_a.append(i) list_a.append(int(var_a/i)) list_a = sorted(set(list_a)) var_b = 54 list_b= [] if "/" in str(var_b): var_b = eval(str(var_b)) list_b.append(var_b) list_b.reverse() list_c = list(set(list_a) - set(list_b)) var_c = len(list_c) print(int(var_c))
Comparison
Three different people A, B, and C have books. The average number of books owned by two people, A and B, is 23 more than the average number of books owned by three people. And the average number of books owned by two people, B and C, is 17 less than the average of what three people have. If B has 66 books, find how many books A has.
88
66 2 [OP_DIV] 17 [OP_ADD] 66 3 [OP_DIV] [OP_SUB] 6 [OP_MUL] 2 [OP_MUL] 23 66 3 [OP_DIV] [OP_ADD] 66 2 [OP_DIV] [OP_SUB] 6 [OP_MUL] [OP_SUB] 3 [OP_DIV]
var_a = 66 var_b = 2 var_c = var_a / var_b var_d = 17 var_e = var_c + var_d var_f = 66 var_g = 3 var_h = var_f / var_g var_i = var_e - var_h var_j = 6 var_k = var_i * var_j var_l = 2 var_m = var_k * var_l var_n = 23 var_o = 66 var_p = 3 var_q = var_o / var_p var_r = var_n + var_q var_s = 66 var_t = 2 var_u = var_s / var_t var_v = var_r - var_u var_w = 6 var_x = var_v * var_w var_y = var_m - var_x var_z = 3 var_A = var_y / var_z print(int(var_A))
Comparison
The older brother and younger brother are trying to get 25 stamps. How many stamps does the older brother have if the older brother owns one more than twice the younger brother's stamps?
17
25 1 [OP_SUB] 2 1 [OP_ADD] [OP_DIV] 2 [OP_MUL] 1 [OP_ADD]
var_a = 25 var_b = 1 var_c = var_a - var_b var_d = 2 var_e = 1 var_f = var_d + var_e var_g = var_c / var_f var_h = 2 var_i = var_g * var_h var_j = 1 var_k = var_i + var_j print(int(var_k))
Arithmetic calculation
What is the number if 540 increases with 10 by 6 times?
600
540 10 6 [OP_MUL] [OP_ADD]
var_a = 540 var_b = 10 var_c = 6 var_d = var_b * var_c var_e = var_a + var_d print(int(var_e))
Arithmetic calculation
There is a subway that runs at 288 centimeters (cm) per second. If the length of the subway is 20 meters (m), and it takes 25 seconds to completely get through the platform, how long is the platform in meters (m)?
52
288 100 [OP_DIV] 25 [OP_MUL] 20 [OP_SUB]
var_a = 288 var_b = 100 var_c = var_a / var_b var_d = 25 var_e = var_c * var_d var_f = 20 var_g = var_e - var_f print(int(var_g))
Correspondence
Divide 493 by 17 to get a number. What number is it?
29
493 17 [OP_DIV]
var_a = 493 var_b = 17 var_c = var_a / var_b print(int(var_c))
Geometry
A pizza is 30 centimeters (cm) in diameter and its circumference is 94.2 centimeters (cm). How many times the circumference of the pizza is greater than the diameter?
3.14
94.2 30 [OP_DIV]
var_a = 94.2 var_b = 30 var_c = var_a / var_b print('{:.2f}'.format(round(var_c+1e-10,2)))
Comparison
Jungkook has a number card 0.8, Yoongi has 1/2, Yoojung has 0.9, and Yuna has 1/3. How many people have number cards less than or equal to 0.3?
0
[OP_LIST_SOL] 0.8 1/2 0.9 1/3 [OP_LIST_EOL] 0.3 [OP_LIST_LESS_EQUAL] [OP_LIST_LEN]
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 = 0.3 list_b = [] for i in list_a: if i <= var_e: list_b.append(i) var_f = len(list_b) print(int(var_f))
Possibility
You want to distribute 36 pairs of shoes to two different female students. Girls receive at least one pair of shoes. How many ways are there to distribute shoes?
35
36 2 1 [OP_MUL] [OP_SUB] 1 [OP_ADD]
var_a = 36 var_b = 2 var_c = 1 var_d = var_b * var_c var_e = var_a - var_d var_f = 1 var_g = var_e + var_f print(int(var_g))
Correspondence
There are 36 students in Jisoo’s class. If you multiply the number of students in Jisoo's class by the number of students in Sunghoon's class, you get 1008. Find the number of students in Sunghoon's class.
28
1008 36 [OP_DIV]
var_a = 1008 var_b = 36 var_c = var_a / var_b print(int(var_c))
Possibility
If two coins A and B are tossed, how many times can it come up with 2 heads?
1
2 [OP_LIST_SOL] A B [OP_LIST_EOL] [OP_LIST_LEN] 2 [OP_SUB] [OP_POW]
var_a = 2 var_b = 'A' var_c = 'B' 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) list_a.reverse() var_d = len(list_a) var_e = 2 var_f = var_d - var_e var_g = var_a ** var_f print(int(var_g))
Geometry
The sum of the perimeters of one regular triangle and one square equals 78 centimeters (cm). If the perimeter of the triangle is 46 centimeters (cm), what is the length of one side of the square in centimeters (cm)?
8
78 46 [OP_SUB] 4 [OP_DIV]
var_a = 78 var_b = 46 var_c = var_a - var_b var_d = 4 var_e = var_c / var_d print(int(var_e))
Arithmetic calculation
Find the difference between the largest and smallest even number between 5 and 29.
22
5 29 [OP_LIST_EVEN] 1 [OP_LIST_MAX] 1 [OP_LIST_MIN] [OP_SUB]
var_a = 5 var_b = 29 list_a = [] if var_a%2!=0: for i in range(var_a+1, var_b+1, 2): list_a.append(i) else: for i in range(var_a, var_b+1, 2): list_a.append(i) var_c = 1 list_b=list_a.copy() list_b.sort() var_d = list_b[-var_c] var_e = 1 list_c=list_a.copy() list_c.sort() var_f = list_c[var_e-1] var_g = var_d - var_f print(int(var_g))
Arithmetic calculation
I bought 4 school supplies sets with 16 mechanical pencils each. How many mechanical pencils are there in all?
64
16 4 [OP_MUL]
var_a = 16 var_b = 4 var_c = var_a * var_b print(int(var_c))
Correspondence
If you accidentally divide the number by 18 and divide it again by 1.8, the quotient is 21 with the remainder of 0.2. Find the remainder of the correct calculation.
2
21 1.8 [OP_MUL] 0.2 [OP_ADD] 18 [OP_MOD]
var_a = 21 var_b = 1.8 var_c = var_a * var_b var_d = 0.2 var_e = var_c + var_d var_f = 18 var_g = var_e % var_f print(int(eval('{:.2f}'.format(round(var_g+1e-10,2)))))
Possibility
How many two-digit natural numbers are there with all digits different, only consisting of 0, 1, 7, and 9?
9
[OP_LIST_SOL] 0 1 7 9 [OP_LIST_EOL] 2 [OP_LIST_GET_PERM] [OP_LIST_LEN]
var_a = 0 var_b = 1 var_c = 7 var_d = 9 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 = 2 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 = len(list_b) print(int(var_f))
Comparison
How many of 0.8, 1/2, 0.9, and 1/3 are greater than 0.4?
3
[OP_LIST_SOL] 0.8 1/2 0.9 1/3 [OP_LIST_EOL] 0.4 [OP_LIST_MORE] [OP_LIST_LEN]
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 = 0.4 list_b = [] for i in list_a: if i > var_e: list_b.append(i) var_f = len(list_b) print(int(var_f))
Geometry
Using all of the 40 centimeters (cm) lengths of wire, the largest regular octagons was created. How many centimeters (cm) is one side of the regular octagon you created?
5
40 8 [OP_DIV]
var_a = 40 var_b = 8 var_c = var_a / var_b print(int(var_c))
Arithmetic calculation
There are three numbers: 10, 11 and 12. What is the product of the largest number and the second largest number?
132
[OP_LIST_SOL] 10 11 12 [OP_LIST_EOL] 1 [OP_LIST_MAX] 2 [OP_LIST_MAX] [OP_MUL]
var_a = 10 var_b = 11 var_c = 12 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 = 1 list_b=list_a.copy() list_b.sort() var_e = list_b[-var_d] var_f = 2 list_c=list_a.copy() list_c.sort() var_g = list_c[-var_f] var_h = var_e * var_g print(int(var_h))
Arithmetic calculation
Find the sum of the two numbers with the greatest difference among the four different natural numbers 1, 3, 7, and 9.
10
[OP_LIST_SOL] 1 3 7 9 [OP_LIST_EOL] 1 [OP_LIST_MAX] 1 [OP_LIST_MIN] [OP_ADD]
var_a = 1 var_b = 3 var_c = 7 var_d = 9 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 = 1 list_b=list_a.copy() list_b.sort() var_f = list_b[-var_e] var_g = 1 list_c=list_a.copy() list_c.sort() var_h = list_c[var_g-1] var_i = var_f + var_h print(int(var_i))
Arithmetic calculation
There is a car that traveled 2 hours and 36 minutes at a speed of 80 kilometers (km) per hour. This car consumes 0.08 liters (l) of gasoline to travel 1 kilometer (km). How many liters (L) of gasoline is consumed?
16.64
0.08 80 2 36 60 [OP_DIV] [OP_ADD] [OP_MUL] [OP_MUL]
var_a = 0.08 var_b = 80 var_c = 2 var_d = 36 var_e = 60 var_f = var_d / var_e var_g = var_c + var_f var_h = var_b * var_g var_i = var_a * var_h print('{:.2f}'.format(round(var_i+1e-10,2)))
Arithmetic calculation
This year, the age of the father is three times the age of the daughter, and after 12 years, the age of the father will be twice the age of the daughter. How old is the daughter this year?
12
12 2 [OP_MUL] 12 [OP_SUB] 3 2 [OP_SUB] [OP_DIV]
var_a = 12 var_b = 2 var_c = var_a * var_b var_d = 12 var_e = var_c - var_d var_f = 3 var_g = 2 var_h = var_f - var_g var_i = var_e / var_h print(int(var_i))
Comparison
The shape (A) is a rectangle 12 centimeters (cm) wide and 5 centimeters (cm) long. The shape (B) is a rectangle with a perimeter of 32 centimeters (cm) and a width of 8 centimeters (cm). Which of the two shapes is wider?
(B)
[OP_LIST_SOL] (A) (B) [OP_LIST_EOL] [OP_LIST_SOL] 4 4 [OP_MUL] 32 8 2 [OP_MUL] [OP_SUB] 2 [OP_DIV] 8 [OP_MUL] [OP_LIST_EOL] 1 [OP_LIST_MAX] [OP_LIST_INDEX] [OP_LIST_POP] [OP_LIST_GET]
var_a = '(A)' var_b = '(B)' 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 = 4 var_e = var_c * var_d var_f = 32 var_g = 8 var_h = 2 var_i = var_g * var_h var_j = var_f - var_i var_k = 2 var_l = var_j / var_k var_m = 8 var_n = var_l * var_m list_b= [] 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_o = 1 list_c=list_b.copy() list_c.sort() var_p = list_c[-var_o] var_q = list_b.index(var_p)+1 var_r = list_a[var_q-1] print(var_r)
Correspondence
When 34 is divided by 7, the remainder is 6 and the quotient is A. Find the right value for A.
4
34 6 [OP_SUB] 7 [OP_DIV]
var_a = 34 var_b = 6 var_c = var_a - var_b var_d = 7 var_e = var_c / var_d print(int(var_e))
Arithmetic calculation
When we weighed 9 robots of the same weight and 7 tops also of the same weight in total, it was 10.98 kilograms (kg). If the weight of one robot is 0.8 kilograms (kg), find the weight of one top in kilograms (kg).
0.54
10.98 0.8 9 [OP_MUL] [OP_SUB] 7 [OP_DIV]
var_a = 10.98 var_b = 0.8 var_c = 9 var_d = var_b * var_c var_e = var_a - var_d var_f = 7 var_g = var_e / var_f print('{:.2f}'.format(round(var_g+1e-10,2)))
Comparison
Find the sum of the largest and smallest of the five numbers 0.45, 1/2, 0.77, 3/8, and 6/8.
1.15
[OP_LIST_SOL] 0.45 1/2 0.77 3/8 6/8 [OP_LIST_EOL] 1 [OP_LIST_MAX] 1 [OP_LIST_MIN] [OP_ADD]
var_a = 0.45 var_b = 0.5 var_c = 0.77 var_d = 0.375 var_e = 0.75 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 = 1 list_b=list_a.copy() list_b.sort() var_g = list_b[-var_f] var_h = 1 list_c=list_a.copy() list_c.sort() var_i = list_c[var_h-1] var_j = var_g + var_i print('{:.2f}'.format(round(var_j+1e-10,2)))
Correspondence
Say that the equation 57A-B14=364 holds. To make the equation hold, what number should go in B?
2
57A-B14=364 B [OP_DIGIT_UNK_SOLVER]
var_a = '57A-B14=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
Sangeun goes shopping and spends half of her money and 2,000 won at the first store, then half of her remaining money and 2,000 won at the second store, and she has no money left. How much money did Sangeun have at first?
12000
0 2000 [OP_ADD] 2 [OP_MUL] 2000 [OP_ADD] 2 [OP_MUL]
var_a = 0 var_b = 2000 var_c = var_a + var_b var_d = 2 var_e = var_c * var_d var_f = 2000 var_g = var_e + var_f var_h = 2 var_i = var_g * var_h print(int(var_i))
Comparison
Seokjin is heavier than Hoseok but lighter than Jimin. Namjoon is heavier than Jimin. Which of the 4 is the lightest?
Hoseok
[OP_LIST_SOL] Seokjin Hoseok Jimin Namjoon [OP_LIST_EOL] [OP_LIST_SOL] Seokjin Hoseok > Seokjin Jimin < Namjoon Jimin > [OP_LIST_EOL] [OP_LIST_COND_MAX_MIN] [OP_LIST_LEN] [OP_LIST_GET]
var_a = 'Seokjin' var_b = 'Hoseok' var_c = 'Jimin' var_d = 'Namjoon' 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 = 'Seokjin' var_f = 'Hoseok' var_g = '>' var_h = 'Seokjin' var_i = 'Jimin' var_j = '<' var_k = 'Namjoon' var_l = 'Jimin' 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)
Correspondence
There is a four-digit number 8A42 which, when rounded, is 8000. How many possible A's are there if A range between 0 to 9?
5
8A42 [OP_GEN_POSSIBLE_LIST] 8500 [OP_LIST_MORE_EQUAL] 8A42 A [OP_LIST_FIND_UNK] [OP_LIST_LEN]
var_a = '8A42' 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 = 8500 list_b = [] for i in list_a: if i >= var_b: list_b.append(i) var_c = '8A42' var_d = 'A' var_c = str(var_c) var_d = str(var_d) unk_idx = var_c.index(var_d) list_c = [] for elem in list_b: elem = str(elem) list_c.append(int(elem[unk_idx])) list_c = list(set(list_c)) var_e = len(list_c) print(int(var_e))
Geometry
A circle has a radius of 5 centimeters (cm). How many times is the area of the circle whose radius is tripled bigger compared to the area of the original circle?
9
3 2 [OP_POW]
var_a = 3 var_b = 2 var_c = var_a ** var_b print(int(var_c))
Correspondence
If you take away 46 from this number it becomes 15. What is the result of subtracting 29 from this number?
32
15 46 [OP_ADD] 29 [OP_SUB]
var_a = 15 var_b = 46 var_c = var_a + var_b var_d = 29 var_e = var_c - var_d print(int(var_e))
Correspondence
I have to divide a number by 8, but I multiply it by 8 by mistake, it's 56. If calculated correctly, indicate how much to the second decimal place.
0.88
56 8 [OP_DIV] 8 [OP_DIV]
var_a = 56 var_b = 8 var_c = var_a / var_b var_d = 8 var_e = var_c / var_d print('{:.2f}'.format(round(var_e+1e-10,2)))
Comparison
There are numbers 0.8, 1/2, and 0.9. Find the smallest number that is greater than or equal to 0.6.
0.8
[OP_LIST_SOL] 0.8 1/2 0.9 [OP_LIST_EOL] 0.6 [OP_LIST_MORE_EQUAL] 1 [OP_LIST_MIN]
var_a = 0.8 var_b = 0.5 var_c = 0.9 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 = 0.6 list_b = [] for i in list_a: if i >= var_d: list_b.append(i) var_e = 1 list_c=list_b.copy() list_c.sort() var_f = list_c[var_e-1] print('{:.2f}'.format(round(var_f+1e-10,2)))
Correspondence
What number must go in A to make 51-A3=28?
2
51-A3=28 A [OP_DIGIT_UNK_SOLVER]
var_a = '51-A3=28' 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))
Geometry
What is the length of one side of a rhombus made out of a string of 32 centimeters (cm) in length?
8
32 4 [OP_DIV]
var_a = 32 var_b = 4 var_c = var_a / var_b print(int(var_c))
Arithmetic calculation
We want to share the books that Yoongi, Eunji, and Yuna had together fairly. If Yoongi gives 5 books to Eunji and receives 15 books from Yuna, and Eunji gives 10 books to Yuna, the three of them will each have 45 books. How many books did Yunji bring at first?
35
45 15 [OP_SUB] 5 [OP_ADD]
var_a = 45 var_b = 15 var_c = var_a - var_b var_d = 5 var_e = var_c + var_d print(int(var_e))
Possibility
There are 6 robot toys that look different. Find the number of cases in which one is given each to Kahi, Nahee, Dahee, and Rahee.
360
6 1 1 [OP_ADD] 1 [OP_ADD] 1 [OP_ADD] [OP_PERM]
var_a = 6 var_b = 1 var_c = 1 var_d = var_b + var_c var_e = 1 var_f = var_d + var_e var_g = 1 var_h = var_f + var_g var_i = 1 var_a = int(var_a) var_h = int(var_h) for i, elem in enumerate(range(var_h)): var_i = var_i * (var_a-i) print(int(var_i))
Geometry
How many pairs of parallel sides are there in a regular hexagon?
3
6 2 [OP_FDIV]
var_a = 6 var_b = 2 var_c = var_a // var_b print(int(var_c))
Arithmetic calculation
A ballpoint pen is 20 centimeters (cm) long and a pencil is 16 centimeters (cm) long. What is the average of the two writing instruments in centimeters (cm)?
18
20 16 [OP_ADD] 2 [OP_DIV]
var_a = 20 var_b = 16 var_c = var_a + var_b var_d = 2 var_e = var_c / var_d print(int(var_e))
Correspondence
If 397 is 236 lesser than a certain number, find the value that is 496 lesser than this certain number.
137
397 236 [OP_ADD] 496 [OP_SUB]
var_a = 397 var_b = 236 var_c = var_a + var_b var_d = 496 var_e = var_c - var_d print(int(var_e))
Possibility
Find the third largest number among five-digit numbers that can be formed using 0, 4, 6, 7, and 8 only once each.
87460
[OP_LIST_SOL] 0 4 6 7 8 [OP_LIST_EOL] 5 [OP_LIST_GET_PERM] 3 [OP_LIST_MAX]
var_a = 0 var_b = 4 var_c = 6 var_d = 7 var_e = 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 = 5 list_b = [str(i) for i in list_a] list_b = list(itertools.permutations(list_b, var_f)) 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_g = 3 list_c=list_b.copy() list_c.sort() var_h = list_c[-var_g] print(int(var_h))
Geometry
Find how long is the side of a regular pentagon in centimeters (cm) when it has the same perimeter as an equilateral triangle with a side length of 20/9 centimeters (cm).
1.33
20/9 3 [OP_MUL] 5 [OP_DIV]
var_a = 2.2222222222222223 var_b = 3 var_c = var_a * var_b var_d = 5 var_e = var_c / var_d print('{:.2f}'.format(round(var_e+1e-10,2)))
Comparison
Find the sum of the largest and smallest numbers among 0.11, 0.98, 3/4, and 2/3.
1.09
[OP_LIST_SOL] 0.11 0.98 3/4 2/3 [OP_LIST_EOL] 1 [OP_LIST_MAX] 1 [OP_LIST_MIN] [OP_ADD]
var_a = 0.11 var_b = 0.98 var_c = 0.75 var_d = 0.6666666666666666 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 = 1 list_b=list_a.copy() list_b.sort() var_f = list_b[-var_e] var_g = 1 list_c=list_a.copy() list_c.sort() var_h = list_c[var_g-1] var_i = var_f + var_h print('{:.2f}'.format(round(var_i+1e-10,2)))
Comparison
Taehyung and Namjoon read 32 pages and 25 pages of fairy tales yesterday, respectively. Today Taehyung read 13 pages less than yesterday, but Namjoon read 14 pages more than yesterday. Which student read more fairy tales in two days?
Namjoon
[OP_LIST_SOL] Taehyung Namjoon [OP_LIST_EOL] [OP_LIST_SOL] 32 13 [OP_SUB] 32 [OP_ADD] 25 14 [OP_ADD] 25 [OP_ADD] [OP_LIST_EOL] 1 [OP_LIST_MAX] [OP_LIST_INDEX] [OP_LIST_POP] [OP_LIST_GET]
var_a = 'Taehyung' var_b = 'Namjoon' 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 = 32 var_d = 13 var_e = var_c - var_d var_f = 32 var_g = var_e + var_f var_h = 25 var_i = 14 var_j = var_h + var_i var_k = 25 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)
Arithmetic calculation
When 1231, 2311, 2131, 1312, 1123, and 3112 are arranged in order from largest to smallest, write the third largest number.
2131
[OP_LIST_SOL] 1231 2311 2131 1312 1123 3112 [OP_LIST_EOL] 3 [OP_LIST_MAX]
var_a = 1231 var_b = 2311 var_c = 2131 var_d = 1312 var_e = 1123 var_f = 3112 list_a= [] 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_g = 3 list_b=list_a.copy() list_b.sort() var_h = list_b[-var_g] print(int(var_h))
Correspondence
When you subtract 220 from a particular number and then multiply it by 4, you get 320. Find out the value of that particular number multiplied by 5 and then divided by 3.
500
320 4 [OP_DIV] 220 [OP_ADD] 5 [OP_MUL] 3 [OP_DIV]
var_a = 320 var_b = 4 var_c = var_a / var_b var_d = 220 var_e = var_c + var_d var_f = 5 var_g = var_e * var_f var_h = 3 var_i = var_g / var_h print(int(var_i))
Geometry
There is a square piece of land with a side length of 4 kilometers (km). A rhombus-shaped park was created by connecting the points that divided the four sides of the land into two equally. Find the area of the park.
8
4 4 [OP_MUL] 2 [OP_DIV]
var_a = 4 var_b = 4 var_c = var_a * var_b var_d = 2 var_e = var_c / var_d print(int(var_e))
Correspondence
If A is the reciprocal of -0.4 and B is the reciprocal of +5/2, find the reciprocal of 3/A+2/B.
0.26
1 3 1 -0.4 [OP_DIV] [OP_DIV] 2 1 5/2 [OP_DIV] [OP_DIV] [OP_ADD] [OP_DIV]
var_a = 1 var_b = 3 var_c = 1 var_d = -0.4 var_e = var_c / var_d var_f = var_b / var_e var_g = 2 var_h = 1 var_i = 2.5 var_j = var_h / var_i var_k = var_g / var_j var_l = var_f + var_k var_m = var_a / var_l print('{:.2f}'.format(round(var_m+1e-10,2)))
Geometry
How many vertices does the cube-shaped gift box have?
8
4 2 [OP_MUL]
var_a = 4 var_b = 2 var_c = var_a * var_b print(int(var_c))
Geometry
If a circle with a circumference of 94.2 centimeters (cm) is drawn on the field and its diameter is 30 centimeters (cm), how many times the circumference of the circle is greater than the diameter?
3.14
94.2 30 [OP_DIV]
var_a = 94.2 var_b = 30 var_c = var_a / var_b print('{:.2f}'.format(round(var_c+1e-10,2)))
Geometry
The area of a rectangle with the length all four sides being the same is 64/5 square centimeters (cm2). If the length of one diagonal is 64/9 centimeters (cm), what is the length of the other diagonal in cm (cm)?
3.6
64/5 2 [OP_MUL] 64/9 [OP_DIV]
var_a = 12.8 var_b = 2 var_c = var_a * var_b var_d = 7.111111111111111 var_e = var_c / var_d print('{:.2f}'.format(round(var_e+1e-10,2)))
Arithmetic calculation
What is the average of the natural numbers from 12 to 53?
32.5
12 53 1 [OP_LIST_ARANGE] [OP_LIST_MEAN]
var_a = 12 var_b = 53 var_c = 1 list_a = [i for i in range(var_a, var_b + 1, var_c)] list_a = [float(i) for i in list_a] var_d = sum(list_a)/len(list_a) print('{:.2f}'.format(round(var_d+1e-10,2)))
Possibility
There are 5 pens, with all different colors, including a red pen. When two of them are given to Seoyoon and one is given to Jiwoo, find the number of cases where the red pen is given to Seoyoon.
12
5 1 [OP_SUB] 2 1 [OP_SUB] 1 [OP_ADD] [OP_PERM]
var_a = 5 var_b = 1 var_c = var_a - var_b var_d = 2 var_e = 1 var_f = var_d - var_e var_g = 1 var_h = var_f + var_g var_i = 1 var_c = int(var_c) var_h = int(var_h) for i, elem in enumerate(range(var_h)): var_i = var_i * (var_c-i) print(int(var_i))
Comparison
Among 5.21, 2/3 3.21, 3.42, and 1/3, what is the product of the smallest number and the second smallest number?
0.22
[OP_LIST_SOL] 5.21 2 3 [OP_DIV] 3.21 3.42 1 3 [OP_DIV] [OP_LIST_EOL] 1 [OP_LIST_MIN] 2 [OP_LIST_MIN] [OP_MUL]
var_a = 5.21 var_b = 2 var_c = 3 var_d = var_b / var_c var_e = 3.21 var_f = 3.42 var_g = 1 var_h = 3 var_i = var_g / var_h list_a= [] if "/" in str(var_i): var_i = eval(str(var_i)) list_a.append(var_i) 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_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-1] var_l = 2 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)))
Geometry
A large square was made by attaching several squares with a side length of 6 centimeters (cm). Find how much the square's area has increased if the length and width of the large square are three times their original length.
288
6 3 [OP_MUL] 2 [OP_POW] 6 2 [OP_POW] [OP_SUB]
var_a = 6 var_b = 3 var_c = var_a * var_b var_d = 2 var_e = var_c ** var_d var_f = 6 var_g = 2 var_h = var_f ** var_g var_i = var_e - var_h print(int(var_i))
Arithmetic calculation
I bought 7 boxes of cucumbers, 16 in each box. Thirteen of them were rotten and thrown away, and the remaining cucumbers are going to be divided equally into 8 bags. How many pieces should you put in one bag?
12
16 7 [OP_MUL] 13 [OP_SUB] 8 [OP_FDIV]
var_a = 16 var_b = 7 var_c = var_a * var_b var_d = 13 var_e = var_c - var_d var_f = 8 var_g = var_e // var_f print(int(var_g))
Correspondence
When 15 is multiplied by a number, it is 45. What number is 1 subtracted from the number?
2
45 15 [OP_DIV] 1 [OP_SUB]
var_a = 45 var_b = 15 var_c = var_a / var_b var_d = 1 var_e = var_c - var_d print(int(var_e))
Geometry
If you divide a cuboid into 3 equal parts, you get three cubes with each edge measuring 6 centimeters (cm). Find the volume of the original cuboid in cubic centimeters (cm3).
648
6 3 [OP_POW] 3 [OP_MUL]
var_a = 6 var_b = 3 var_c = var_a ** var_b var_d = 3 var_e = var_c * var_d print(int(var_e))
Correspondence
Subtracting a number from 8.9 gives 3.1. Multiply a number by 3.1 and then multiply it by 2.5 to find the value.
44.95
8.9 3.1 [OP_SUB] 3.1 [OP_MUL] 2.5 [OP_MUL]
var_a = 8.9 var_b = 3.1 var_c = var_a - var_b var_d = 3.1 var_e = var_c * var_d var_f = 2.5 var_g = var_e * var_f print('{:.2f}'.format(round(var_g+1e-10,2)))
Geometry
You are trying to put as many square tiles as possible on a blank wall in the shape of a rectangle with 262 centimeters (cm) long and 185 centimeters (cm) wide. Find the amount of tiles you need.
140
262 18 [OP_FDIV] 185 18 [OP_FDIV] [OP_MUL]
var_a = 262 var_b = 18 var_c = var_a // var_b var_d = 185 var_e = 18 var_f = var_d // var_e var_g = var_c * var_f print(int(var_g))
Arithmetic calculation
There are a total of 100 roses, lilies and tulips. There are 22 more roses than lilies and 20 fewer roses than tulips. How many roses are there?
34
100 22 [OP_ADD] 20 [OP_SUB] 3 [OP_DIV]
var_a = 100 var_b = 22 var_c = var_a + var_b var_d = 20 var_e = var_c - var_d var_f = 3 var_g = var_e / var_f print(int(var_g))
Possibility
We are going to divide 32 walnuts equally into the basket without any remainder. How many different ways can there be in a basket? (However, not all 32 walnuts are placed in one basket.)
5
32 [OP_LIST_GET_DIVISOR] [OP_LIST_SOL] 1 [OP_LIST_EOL] [OP_SET_DIFFERENCE] [OP_LIST_LEN]
var_a = 32 list_a = [] num_sqrt = int(math.sqrt(var_a)) for i in range(1, num_sqrt+1): if var_a % i == 0: list_a.append(i) list_a.append(int(var_a/i)) list_a = sorted(set(list_a)) var_b = 1 list_b= [] if "/" in str(var_b): var_b = eval(str(var_b)) list_b.append(var_b) list_b.reverse() list_c = list(set(list_a) - set(list_b)) var_c = len(list_c) print(int(var_c))
Possibility
When a number is divided by 5 and 6, there is no remainder, but when it is divided by 7, 6 remains. Find the largest two-digit number that satisfies the condition.
90
10 99 1 [OP_LIST_ARANGE] 5 6 [OP_LCM] [OP_LIST_DIVISIBLE] 7 6 [OP_LIST_DIVIDE_AND_REMAIN] 1 [OP_LIST_MAX]
var_a = 10 var_b = 99 var_c = 1 list_a = [i for i in range(var_a, var_b + 1, var_c)] var_d = 5 var_e = 6 var_f = var_e * var_d / math.gcd(int(var_e), int(var_d)) list_b = [] var_f = int(var_f) for i in list_a: i = int(i) if i % var_f == 0: list_b.append(i) var_g = 7 var_h = 6 list_c = [] var_g = int(var_g) var_h = int(var_h) if var_h < 0: var_h = var_h + var_g for i in list_b: i = int(i) if i%var_g == var_h: list_c.append(i) var_i = 1 list_d=list_c.copy() list_d.sort() var_j = list_d[-var_i] print(int(var_j))
Comparison
When comparing the number of coins that A, B, C, and D have, A has 21 coins, which is 9 more than B, and C has 17 more coins than B. If the sum of the coins of A and B is 5 less than the sum of the coins of C and D, how many coins does D have?
9
21 21 9 [OP_SUB] [OP_ADD] 21 9 [OP_SUB] 17 [OP_ADD] [OP_SUB] 5 [OP_ADD]
var_a = 21 var_b = 21 var_c = 9 var_d = var_b - var_c var_e = var_a + var_d var_f = 21 var_g = 9 var_h = var_f - var_g var_i = 17 var_j = var_h + var_i var_k = var_e - var_j var_l = 5 var_m = var_k + var_l print(int(var_m))
Comparison
Eunji was the 100th to get on the train, and Yuna got on the train before 11 people got on the train before Eunji. In what number did Yuna get on the train?
88
100 11 [OP_SUB] 1 [OP_SUB]
var_a = 100 var_b = 11 var_c = var_a - var_b var_d = 1 var_e = var_c - var_d print(int(var_e))
Arithmetic calculation
The distance between the school and Hyosung's house is 2.5 kilometers (km). Hyoseong and Mimi started at the same time from home and school, respectively, and walked toward each other at a certain speed. If Hyosung walks at 0.08 kilometers (km) per minute and Mimi walks at 2.4 kilometers (km) per hour, how many kilometers (km) is the distance between the two people after 15 minutes?
0.7
2.5 0.08 15 [OP_MUL] [OP_SUB] 2.4 60 [OP_DIV] 15 [OP_MUL] [OP_SUB]
var_a = 2.5 var_b = 0.08 var_c = 15 var_d = var_b * var_c var_e = var_a - var_d var_f = 2.4 var_g = 60 var_h = var_f / var_g var_i = 15 var_j = var_h * var_i var_k = var_e - var_j print('{:.2f}'.format(round(var_k+1e-10,2)))
Possibility
Find the number of two-digit natural numbers that can be formed by drawing two of the number cards 0, 2, 4, 5, 8.
16
[OP_LIST_SOL] 0 2 4 5 8 [OP_LIST_EOL] 2 [OP_LIST_GET_PERM] [OP_LIST_LEN]
var_a = 0 var_b = 2 var_c = 4 var_d = 5 var_e = 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 = [str(i) for i in list_a] list_b = list(itertools.permutations(list_b, var_f)) 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_g = len(list_b) print(int(var_g))
Correspondence
Yuna wants to divide 42 by some number. If the result of accidentally multiplying 8 by some number is 56, find the correct result.
6
42 56 8 [OP_DIV] [OP_DIV]
var_a = 42 var_b = 56 var_c = 8 var_d = var_b / var_c var_e = var_a / var_d print(int(var_e))
Correspondence
12.4A<12.45. How many digits from 0 to 9 can be used for A?
5
12.4A<12.45 A [OP_DIGIT_UNK_SOLVER] [OP_LIST_LEN]
var_a = '12.4A<12.45' 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))
Possibility
You want to use 1, 3, 6, and 7 to make a three-digit number. If each number can only be used once, in how many ways can you make it?
24
[OP_LIST_SOL] 1 3 6 7 [OP_LIST_EOL] 3 [OP_LIST_GET_PERM] [OP_LIST_LEN]
var_a = 1 var_b = 3 var_c = 6 var_d = 7 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 = [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 = len(list_b) print(int(var_f))
Geometry
The sum of the lengths of the four sides of a rhombus is 32. What is the length of one side?
8
32 4 [OP_DIV]
var_a = 32 var_b = 4 var_c = var_a / var_b print(int(var_c))
Correspondence
If you round down A76 from the hundred place, it becomes 700. Find the value of A.
7
A76 [OP_GEN_POSSIBLE_LIST] 700 [OP_LIST_MORE_EQUAL] 700 100 [OP_ADD] [OP_LIST_LESS] A76 A [OP_LIST_FIND_UNK]
var_a = 'A76' 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 = 700 list_b = [] for i in list_a: if i >= var_b: list_b.append(i) var_c = 700 var_d = 100 var_e = var_c + var_d list_c = [] for i in list_b: if i < var_e: list_c.append(i) var_f = 'A76' 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))
Geometry
You want to count the number of edges of a cube. How many edges are there in total?
12
6 2 [OP_SUB] 3 [OP_MUL]
var_a = 6 var_b = 2 var_c = var_a - var_b var_d = 3 var_e = var_c * var_d print(int(var_e))
Arithmetic calculation
Calculate the sum of all numbers from 1 to 100 that have a remainder of 1 when divided by 3.
1717
1 100 1 [OP_LIST_ARANGE] 3 1 [OP_LIST_DIVIDE_AND_REMAIN] [OP_LIST_SUM]
var_a = 1 var_b = 100 var_c = 1 list_a = [i for i in range(var_a, var_b + 1, var_c)] var_d = 3 var_e = 1 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) list_b = [float(i) for i in list_b] var_f = sum(list_b) print(int(var_f))
Arithmetic calculation
How many three digit numbers are there that are less than 403 and greater than 285?
117
285 1 [OP_ADD] 403 1 [OP_SUB] 1 [OP_LIST_ARANGE] [OP_LIST_LEN]
var_a = 285 var_b = 1 var_c = var_a + var_b var_d = 403 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))
Arithmetic calculation
There are 135.1 liters (L) of water. If this is divided into 7 liters (L) buckets of water, how many milliliters (ml) are left after the buckets are full?
2100
135.1 7 [OP_MOD] 1000 [OP_MUL]
var_a = 135.1 var_b = 7 var_c = var_a % var_b var_d = 1000 var_e = var_c * var_d print(int(eval('{:.2f}'.format(round(var_e+1e-10,2)))))
Geometry
Find the number of faces in the tetrahedron.
4
4
var_a = 4 print(int(var_a))
Arithmetic calculation
Minyoung and Hoseok each had 150 pieces of colored paper. If Minyoung bought 32 more pieces of colored paper and Hoseok bought 49 more, how many more pieces of colored paper does Hoseok have than Minyoung?
17
150 49 [OP_ADD] 150 32 [OP_ADD] [OP_SUB]
var_a = 150 var_b = 49 var_c = var_a + var_b var_d = 150 var_e = 32 var_f = var_d + var_e var_g = var_c - var_f print(int(var_g))
Arithmetic calculation
How many kilograms (kg) is equal to the sum of two weights of 0.3 kilograms (kg) and one weight of 0.5 kilograms (kg)?
1.1
0.5 0.3 2 [OP_MUL] [OP_ADD]
var_a = 0.5 var_b = 0.3 var_c = 2 var_d = var_b * var_c var_e = var_a + var_d print('{:.2f}'.format(round(var_e+1e-10,2)))
Arithmetic calculation
Six years ago, when Sunkyung added her and her mother's ages, it was 48. This year, Sunkyung's mother is said to be three times older than Sunkyung. How old is her mother?
45
48 6 2 [OP_MUL] [OP_ADD] 1 3 [OP_ADD] [OP_DIV] 3 [OP_MUL]
var_a = 48 var_b = 6 var_c = 2 var_d = var_b * var_c var_e = var_a + var_d var_f = 1 var_g = 3 var_h = var_f + var_g var_i = var_e / var_h var_j = 3 var_k = var_i * var_j print(int(var_k))
Possibility
You want to create a two-digit number by drawing two of the four number cards 1, 3, 4, and 7, and using each card only once. How many possible numbers are greater than 36 and less than or equal to 45?
3
[OP_LIST_SOL] 1 3 4 7 [OP_LIST_EOL] 2 [OP_LIST_GET_PERM] 36 [OP_LIST_MORE] 45 [OP_LIST_LESS_EQUAL] [OP_LIST_LEN]
var_a = 1 var_b = 3 var_c = 4 var_d = 7 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 = 2 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 = 36 list_c = [] for i in list_b: if i > var_f: list_c.append(i) var_g = 45 list_d = [] for i in list_c: if i <= var_g: list_d.append(i) var_h = len(list_d) print(int(var_h))
Arithmetic calculation
Jimin has 2 packs of pencils and 7 individual pencils. Yuna has 1 pack of pencils and 9 individual pencils. How many pencils do Jimin and Yuna have? (However, a pack of pencils means 12 pencils.)
52
2 12 [OP_MUL] 7 [OP_ADD] 1 12 [OP_MUL] [OP_ADD] 9 [OP_ADD]
var_a = 2 var_b = 12 var_c = var_a * var_b var_d = 7 var_e = var_c + var_d var_f = 1 var_g = 12 var_h = var_f * var_g var_i = var_e + var_h var_j = 9 var_k = var_i + var_j print(int(var_k))
Arithmetic calculation
There is a 10 liter (L) container filled with water. In this container, you used a full bowl with a capacity of 1 liter (L) and 500 milliliters (㎖) to take the water out three times from the container. And then you took the water out several times using a bowl with a capacity of 1 liter (L) and 250 milliliters (㎖). When 1 liter (L) and 750 milliliters (mL) of water remained in the container, how many times did you use a bowl of 1 liter (L) and 250 milliliters (㎖)?
3
10 1000 [OP_MUL] 1 1000 [OP_MUL] 500 [OP_ADD] 3 [OP_MUL] [OP_SUB] 1 1000 [OP_MUL] 750 [OP_ADD] [OP_SUB] 1 1000 [OP_MUL] 250 [OP_ADD] [OP_DIV]
var_a = 10 var_b = 1000 var_c = var_a * var_b var_d = 1 var_e = 1000 var_f = var_d * var_e var_g = 500 var_h = var_f + var_g var_i = 3 var_j = var_h * var_i var_k = var_c - var_j var_l = 1 var_m = 1000 var_n = var_l * var_m var_o = 750 var_p = var_n + var_o var_q = var_k - var_p var_r = 1 var_s = 1000 var_t = var_r * var_s var_u = 250 var_v = var_t + var_u var_w = var_q / var_v print(int(var_w))