id
int64
11k
153k
difficulty
stringclasses
3 values
multi_step
bool
1 class
instruction
stringlengths
32
1.12k
env_name
stringclasses
15 values
tools
stringclasses
16 values
parameters
stringclasses
67 values
answer
stringlengths
1
1.09k
steps
stringclasses
1 value
tags
stringclasses
15 values
23,001
hard
false
What is the Pearson correlation coefficient between X=[55, 9, 82, 4, 80, 128, 186, 81, 53, 161, 36, 25, 102, 92, 14, 118, 155, 138, 50, 92, 58, 163] and Y=[74, 24, 93, 3, 102, 169, 252, 113, 76, 223, 35, 31, 128, 121, 3, 169, 190, 184, 59, 118, 84, 188]? Round to 4 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
0.9895
[]
["statistics", "single_round"]
23,002
hard
false
What is the population standard deviation of [362, 234, 314, 416, 123, 461, 175, 82, 483, 320, 149, 354, 19, 176, 341, 225, 295, 168, 67, 498, 446]? Round to 2 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
141.26
[]
["statistics", "single_round"]
23,003
hard
false
What is the population variance of [193, 364, 120, 130, 135, 14, 179, 25, 245, 178, 265, 305, 392, 345, 202, 137, 435, 141, 329, 442, 454]? Round to 2 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
16827.39
[]
["statistics", "single_round"]
23,004
hard
false
What is the Pearson correlation coefficient between X=[170, 137, 20, 134, 188, 29, 121, 20, 39, 49, 75, 145, 136, 105, 57, 53, 65] and Y=[361, 287, 54, 287, 386, 45, 234, 45, 76, 89, 148, 298, 288, 207, 108, 113, 132]? Round to 4 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
0.9970
[]
["statistics", "single_round"]
23,005
hard
false
What is the population standard deviation of [79, 236, 228, 386, 405, 312, 244, 126, 254, 206, 365, 211, 9, 211, 296, 460, 441, 479, 204, 165, 392, 45, 149, 209, 6, 26]? Round to 2 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
137.48
[]
["statistics", "single_round"]
23,006
hard
false
What is the population variance of [414, 102, 362, 491, 460, 440, 356, 203, 497, 257, 379, 336, 417, 279, 333, 194, 106, 230, 126, 322, 154, 71]? Round to 2 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
16897.45
[]
["statistics", "single_round"]
23,007
hard
false
What is the Pearson correlation coefficient between X=[104, 133, 153, 63, 198, 68, 102, 123, 64, 80, 71, 40, 130, 199, 52, 111, 2, 90, 53, 4] and Y=[150, 176, 194, 80, 273, 103, 148, 166, 64, 120, 107, 67, 183, 267, 78, 156, -7, 124, 89, 26]? Round to 4 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
0.9893
[]
["statistics", "single_round"]
23,008
hard
false
What is the population standard deviation of [353, 234, 128, 182, 452, 120, 43, 129, 495, 131, 247, 474, 61, 267, 293, 188, 214, 317, 286, 345, 253, 81, 178, 460, 79, 382, 432, 260, 499, 407]? Round to 2 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
137.13
[]
["statistics", "single_round"]
23,009
hard
false
What is the population variance of [353, 5, 207, 438, 175, 143, 395, 318, 201, 68, 267, 469, 404, 441, 267, 172, 86, 454, 114, 491, 496, 265]? Round to 2 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
21934.94
[]
["statistics", "single_round"]
23,010
hard
false
What is the Pearson correlation coefficient between X=[198, 195, 94, 56, 99, 182, 45, 42, 63, 163, 187, 29, 40, 144, 55, 179, 6, 61, 70, 153, 31, 28, 51] and Y=[559, 506, 281, 148, 285, 503, 112, 98, 182, 451, 503, 80, 101, 396, 166, 488, 34, 179, 182, 434, 95, 61, 150]? Round to 4 decimal places. Answer with only the ...
StatisticsEnv
["compute_stat", "describe"]
{}
0.9971
[]
["statistics", "single_round"]
23,011
hard
false
What is the population standard deviation of [312, 370, 77, 4, 392, 495, 443, 61, 91, 427, 377, 164, 129, 230, 74, 303, 339, 182, 248, 181, 1, 248, 171, 150, 201, 23, 262, 43]? Round to 2 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
139.83
[]
["statistics", "single_round"]
23,012
hard
false
What is the population variance of [294, 258, 431, 344, 164, 43, 361, 340, 261, 367, 276, 500, 351, 434, 351, 155, 333, 151, 180, 45, 494, 335, 277, 37, 234, 222, 357]? Round to 2 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
15446.28
[]
["statistics", "single_round"]
23,013
hard
false
What is the Pearson correlation coefficient between X=[149, 7, 84, 92, 132, 42, 161, 1, 25, 54, 185, 51, 76, 178, 98, 199, 160, 166, 78, 62, 118, 40, 124, 180, 8] and Y=[138, 22, 94, 87, 129, 29, 152, 6, 25, 61, 176, 49, 74, 187, 117, 214, 175, 156, 85, 82, 135, 48, 143, 180, 19]? Round to 4 decimal places. Answer with...
StatisticsEnv
["compute_stat", "describe"]
{}
0.9855
[]
["statistics", "single_round"]
23,014
hard
false
What is the population standard deviation of [467, 499, 428, 490, 375, 131, 389, 283, 154, 174, 312, 378, 439, 3, 468, 233, 333, 420, 373, 413, 154, 56, 31]? Round to 2 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
152.14
[]
["statistics", "single_round"]
23,015
hard
false
What is the population variance of [74, 13, 13, 444, 219, 39, 31, 461, 416, 217, 43, 166, 417, 315, 261, 111, 400, 244, 80, 207, 167, 491, 486, 363]? Round to 2 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
26309.16
[]
["statistics", "single_round"]
23,016
hard
false
What is the Pearson correlation coefficient between X=[73, 40, 45, 146, 26, 161, 96, 195, 188, 80, 174, 121, 123, 183, 51, 65, 113, 48, 143] and Y=[42, 54, 41, 173, 30, 136, 123, 206, 264, 103, 183, 125, 205, 180, 43, 68, 151, 58, 171]? Round to 4 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
0.9191
[]
["statistics", "single_round"]
23,017
hard
false
What is the population standard deviation of [405, 396, 117, 293, 48, 62, 284, 225, 482, 60, 227, 50, 31, 365, 493, 28, 445, 339, 177, 118, 260, 422]? Round to 2 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
156.64
[]
["statistics", "single_round"]
23,018
hard
false
What is the population variance of [171, 5, 110, 277, 446, 331, 373, 142, 147, 390, 429, 294, 350, 433, 46, 334, 80, 214, 91, 128, 5, 165, 426, 31]? Round to 2 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
21547.77
[]
["statistics", "single_round"]
23,019
hard
false
What is the Pearson correlation coefficient between X=[63, 65, 194, 125, 159, 68, 156, 91, 53, 15, 36, 51, 12, 90, 142, 173, 84, 170, 17, 154, 185, 194] and Y=[165, 154, 463, 305, 381, 172, 369, 228, 131, 37, 92, 122, 33, 214, 330, 416, 191, 401, 48, 364, 431, 459]? Round to 4 decimal places. Answer with only the numbe...
StatisticsEnv
["compute_stat", "describe"]
{}
0.9992
[]
["statistics", "single_round"]
23,020
hard
false
What is the population standard deviation of [23, 57, 367, 498, 399, 392, 415, 402, 315, 218, 42, 412, 296, 219, 389, 198, 186, 176, 385, 476, 379]? Round to 2 decimal places. Answer with only the number.
StatisticsEnv
["compute_stat", "describe"]
{}
138.87
[]
["statistics", "single_round"]
31,001
easy
false
Compute C(6,4). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
15
[]
["counting", "single_round"]
31,002
easy
false
Compute C(11,1). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
11
[]
["counting", "single_round"]
31,003
easy
false
Compute C(8,4). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
70
[]
["counting", "single_round"]
31,004
easy
false
How many ways can you choose 7 items from 11? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
330
[]
["counting", "single_round"]
31,005
easy
false
Compute C(6,1). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
6
[]
["counting", "single_round"]
31,006
easy
false
How many ways to arrange 3 items from 3? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
6
[]
["counting", "single_round"]
31,007
easy
false
Compute C(10,8). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
45
[]
["counting", "single_round"]
31,008
easy
false
How many ways can you choose 3 items from 8? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
56
[]
["counting", "single_round"]
31,009
easy
false
What is 7!? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
5040
[]
["counting", "single_round"]
31,010
easy
false
How many ways can you choose 5 items from 8? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
56
[]
["counting", "single_round"]
31,011
easy
false
Compute C(12,3). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
220
[]
["counting", "single_round"]
31,012
easy
false
How many ways can you choose 3 items from 7? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
35
[]
["counting", "single_round"]
31,013
easy
false
How many ways to arrange 2 items from 7? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
42
[]
["counting", "single_round"]
31,014
easy
false
Compute C(11,5). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
462
[]
["counting", "single_round"]
31,015
easy
false
How many ways can you choose 2 items from 10? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
45
[]
["counting", "single_round"]
31,016
easy
false
How many ways can you choose 1 items from 9? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
9
[]
["counting", "single_round"]
31,017
easy
false
What is 5!? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
120
[]
["counting", "single_round"]
31,018
easy
false
What is 4!? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
24
[]
["counting", "single_round"]
31,019
easy
false
Compute C(4,1). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
4
[]
["counting", "single_round"]
31,020
easy
false
How many ways can you choose 4 items from 9? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
126
[]
["counting", "single_round"]
32,001
medium
false
What is 15!? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
1307674368000
[]
["counting", "single_round"]
32,002
medium
false
Compute P(13,4). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
17160
[]
["counting", "single_round"]
32,003
medium
false
Compute P(18,4). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
73440
[]
["counting", "single_round"]
32,004
medium
false
What is 10!? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
3628800
[]
["counting", "single_round"]
32,005
medium
false
Compute C(28,14). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
40116600
[]
["counting", "single_round"]
32,006
medium
false
Compute P(14,4). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
24024
[]
["counting", "single_round"]
32,007
medium
false
Compute C(19,8). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
75582
[]
["counting", "single_round"]
32,008
medium
false
What is 11!? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
39916800
[]
["counting", "single_round"]
32,009
medium
false
Compute C(23,7). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
245157
[]
["counting", "single_round"]
32,010
medium
false
What is 13!? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
6227020800
[]
["counting", "single_round"]
32,011
medium
false
How many ways can you choose 10 items from 23? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
1144066
[]
["counting", "single_round"]
32,012
medium
false
Compute P(16,5). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
524160
[]
["counting", "single_round"]
32,013
medium
false
Compute P(12,4). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
11880
[]
["counting", "single_round"]
32,014
medium
false
Compute C(24,9). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
1307504
[]
["counting", "single_round"]
32,015
medium
false
Compute P(10,6). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
151200
[]
["counting", "single_round"]
32,016
medium
false
How many ways can you choose 5 items from 12? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
792
[]
["counting", "single_round"]
32,017
medium
false
How many ways can you choose 8 items from 17? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
24310
[]
["counting", "single_round"]
32,018
medium
false
How many ways can you choose 3 items from 15? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
455
[]
["counting", "single_round"]
32,019
medium
false
How many ways can you choose 8 items from 19? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
75582
[]
["counting", "single_round"]
32,020
medium
false
Compute P(13,3). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
1716
[]
["counting", "single_round"]
33,001
hard
false
How many ways can you choose 12 items from 83? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
96851050941060
[]
["counting", "single_round"]
33,002
hard
false
Compute C(45,11). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
10150595910
[]
["counting", "single_round"]
33,003
hard
false
Compute P(60,8). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
103163592470400
[]
["counting", "single_round"]
33,004
hard
false
How many ways can you choose 16 items from 118? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
23287391568864135063
[]
["counting", "single_round"]
33,005
hard
false
What is 27!? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
10888869450418352160768000000
[]
["counting", "single_round"]
33,006
hard
false
How many ways can you choose 42 items from 94? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
959509335087854414441273718
[]
["counting", "single_round"]
33,007
hard
false
How many ways can you choose 20 items from 58? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
1847253511032930
[]
["counting", "single_round"]
33,008
hard
false
Compute C(65,26). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
1002596421878664480
[]
["counting", "single_round"]
33,009
hard
false
Compute C(97,10). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
12576469727536
[]
["counting", "single_round"]
33,010
hard
false
Compute P(45,10). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
11576551623436800
[]
["counting", "single_round"]
33,011
hard
false
What is 25!? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
15511210043330985984000000
[]
["counting", "single_round"]
33,012
hard
false
What is 28!? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
304888344611713860501504000000
[]
["counting", "single_round"]
33,013
hard
false
Compute C(95,14). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
20439879147794485
[]
["counting", "single_round"]
33,014
hard
false
Compute C(78,28). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
1221222928055568752028
[]
["counting", "single_round"]
33,015
hard
false
What is 24!? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
620448401733239439360000
[]
["counting", "single_round"]
33,016
hard
false
How many ways can you choose 14 items from 111? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
210227674943268675
[]
["counting", "single_round"]
33,017
hard
false
How many ways can you choose 15 items from 71? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
914734449370024
[]
["counting", "single_round"]
33,018
hard
false
What is 29!? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
8841761993739701954543616000000
[]
["counting", "single_round"]
33,019
hard
false
What is 18!? Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
6402373705728000
[]
["counting", "single_round"]
33,020
hard
false
Compute C(48,20). Answer with only the number.
CountingEnv
["combination", "permutation", "factorial"]
{}
16735679449896
[]
["counting", "single_round"]
41,001
easy
false
What is the determinant of [[10, -5], [-1, 3]]? Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
25
[]
["matrix", "single_round"]
41,002
easy
false
What is the trace of [[-4, 2], [1, 1]]? Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
-3
[]
["matrix", "single_round"]
41,003
easy
false
Compute the determinant of the matrix [[13, 12], [2, 7]]. Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
67
[]
["matrix", "single_round"]
41,004
easy
false
What is the determinant of [[4, 4], [-1, 1]]? Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
8
[]
["matrix", "single_round"]
41,005
easy
false
What is the trace of [[-4, 3], [0, 5]]? Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
1
[]
["matrix", "single_round"]
41,006
easy
false
Compute the determinant of the matrix [[13, 7], [13, 13]]. Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
78
[]
["matrix", "single_round"]
41,007
easy
false
What is the determinant of [[1, -1], [1, -5]]? Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
-4
[]
["matrix", "single_round"]
41,008
easy
false
What is the trace of [[9, 7], [6, -1]]? Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
8
[]
["matrix", "single_round"]
41,009
easy
false
Compute the determinant of the matrix [[5, 9], [15, 3]]. Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
-120
[]
["matrix", "single_round"]
41,010
easy
false
What is the determinant of [[-2, 7], [-1, 9]]? Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
-11
[]
["matrix", "single_round"]
41,011
easy
false
What is the trace of [[-1, 8], [-5, 10]]? Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
9
[]
["matrix", "single_round"]
41,012
easy
false
Compute the determinant of the matrix [[7, 4], [10, 5]]. Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
-5
[]
["matrix", "single_round"]
41,013
easy
false
What is the determinant of [[5, -4], [4, -2]]? Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
6
[]
["matrix", "single_round"]
41,014
easy
false
What is the trace of [[-4, 4], [10, -2]]? Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
-6
[]
["matrix", "single_round"]
41,015
easy
false
Compute the determinant of the matrix [[5, 9], [5, 13]]. Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
20
[]
["matrix", "single_round"]
41,016
easy
false
What is the determinant of [[9, 6], [0, 1]]? Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
9
[]
["matrix", "single_round"]
41,017
easy
false
What is the trace of [[2, 9], [0, 6]]? Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
8
[]
["matrix", "single_round"]
41,018
easy
false
Compute the determinant of the matrix [[1, 10], [15, 14]]. Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
-136
[]
["matrix", "single_round"]
41,019
easy
false
What is the determinant of [[0, 2], [-3, -2]]? Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
6
[]
["matrix", "single_round"]
41,020
easy
false
What is the trace of [[10, 3], [8, 4]]? Answer with only the number.
MatrixEnv
["matrix_determinant", "matrix_multiply", "matrix_trace"]
{}
14
[]
["matrix", "single_round"]