prompt
stringlengths 81
174
| answer
stringlengths 1
6
| task
stringclasses 6
values |
|---|---|---|
Find the modulus of 1! with prime number 1319. return the result in \boxed{} format.
|
1
|
modulus_factorial
|
Find the modulus of 6! with prime number 5641. return the result in \boxed{} format.
|
720
|
modulus_factorial
|
Find the modulus of 9! with prime number 347. return the result in \boxed{} format.
|
265
|
modulus_factorial
|
Find the modulus of 10! with prime number 619. return the result in \boxed{} format.
|
222
|
modulus_factorial
|
Find the modulus of 10! with prime number 5399. return the result in \boxed{} format.
|
672
|
modulus_factorial
|
Find the modulus of 9! with prime number 7879. return the result in \boxed{} format.
|
446
|
modulus_factorial
|
Find the modulus of 8! with prime number 911. return the result in \boxed{} format.
|
236
|
modulus_factorial
|
Find the modulus of 5! with prime number 3889. return the result in \boxed{} format.
|
120
|
modulus_factorial
|
Find the modulus of 4! with prime number 1229. return the result in \boxed{} format.
|
24
|
modulus_factorial
|
Find the modulus of 10! with prime number 4177. return the result in \boxed{} format.
|
3164
|
modulus_factorial
|
Find the modulus of 9! with prime number 2917. return the result in \boxed{} format.
|
1172
|
modulus_factorial
|
Find the modulus of 3! with prime number 2053. return the result in \boxed{} format.
|
6
|
modulus_factorial
|
Find the modulus of 6! with prime number 5653. return the result in \boxed{} format.
|
720
|
modulus_factorial
|
Find the modulus of 8! with prime number 1787. return the result in \boxed{} format.
|
1006
|
modulus_factorial
|
Find the modulus of 3! with prime number 1439. return the result in \boxed{} format.
|
6
|
modulus_factorial
|
Find the modulus of 9! with prime number 3331. return the result in \boxed{} format.
|
3132
|
modulus_factorial
|
Find the modulus of 8! with prime number 2309. return the result in \boxed{} format.
|
1067
|
modulus_factorial
|
Find the modulus of 5! with prime number 4621. return the result in \boxed{} format.
|
120
|
modulus_factorial
|
Find the modulus of 1! with prime number 5503. return the result in \boxed{} format.
|
1
|
modulus_factorial
|
Find the modulus of 6! with prime number 7027. return the result in \boxed{} format.
|
720
|
modulus_factorial
|
Find the modulus of 7! with prime number 6967. return the result in \boxed{} format.
|
5040
|
modulus_factorial
|
Find the modulus of 8! with prime number 7159. return the result in \boxed{} format.
|
4525
|
modulus_factorial
|
Find the modulus of 9! with prime number 1123. return the result in \boxed{} format.
|
151
|
modulus_factorial
|
Find the modulus of 8! with prime number 2699. return the result in \boxed{} format.
|
2534
|
modulus_factorial
|
Find the modulus of 3! with prime number 1009. return the result in \boxed{} format.
|
6
|
modulus_factorial
|
Find the modulus of 1! with prime number 1823. return the result in \boxed{} format.
|
1
|
modulus_factorial
|
Find the modulus of 8! with prime number 2593. return the result in \boxed{} format.
|
1425
|
modulus_factorial
|
Find the modulus of 4! with prime number 2053. return the result in \boxed{} format.
|
24
|
modulus_factorial
|
Find the modulus of 2! with prime number 419. return the result in \boxed{} format.
|
2
|
modulus_factorial
|
Find the modulus of 6! with prime number 1307. return the result in \boxed{} format.
|
720
|
modulus_factorial
|
Find the modulus of 91! with prime number 4721. return the result in \boxed{} format.
|
4487
|
modulus_factorial
|
Find the modulus of 48! with prime number 1151. return the result in \boxed{} format.
|
505
|
modulus_factorial
|
Find the modulus of 97! with prime number 1979. return the result in \boxed{} format.
|
135
|
modulus_factorial
|
Find the modulus of 14! with prime number 6073. return the result in \boxed{} format.
|
5747
|
modulus_factorial
|
Find the modulus of 12! with prime number 3923. return the result in \boxed{} format.
|
3300
|
modulus_factorial
|
Find the modulus of 27! with prime number 1907. return the result in \boxed{} format.
|
98
|
modulus_factorial
|
Find the modulus of 69! with prime number 2837. return the result in \boxed{} format.
|
1567
|
modulus_factorial
|
Find the modulus of 31! with prime number 3491. return the result in \boxed{} format.
|
2768
|
modulus_factorial
|
Find the modulus of 44! with prime number 6473. return the result in \boxed{} format.
|
3752
|
modulus_factorial
|
Find the modulus of 77! with prime number 5821. return the result in \boxed{} format.
|
513
|
modulus_factorial
|
Find the modulus of 57! with prime number 5531. return the result in \boxed{} format.
|
373
|
modulus_factorial
|
Find the modulus of 49! with prime number 6619. return the result in \boxed{} format.
|
467
|
modulus_factorial
|
Find the modulus of 63! with prime number 7589. return the result in \boxed{} format.
|
4855
|
modulus_factorial
|
Find the modulus of 94! with prime number 2699. return the result in \boxed{} format.
|
364
|
modulus_factorial
|
Find the modulus of 37! with prime number 6691. return the result in \boxed{} format.
|
3261
|
modulus_factorial
|
Find the modulus of 63! with prime number 4967. return the result in \boxed{} format.
|
899
|
modulus_factorial
|
Find the modulus of 89! with prime number 5903. return the result in \boxed{} format.
|
2087
|
modulus_factorial
|
Find the modulus of 35! with prime number 37. return the result in \boxed{} format.
|
1
|
modulus_factorial
|
Find the modulus of 34! with prime number 2029. return the result in \boxed{} format.
|
681
|
modulus_factorial
|
Find the modulus of 39! with prime number 643. return the result in \boxed{} format.
|
355
|
modulus_factorial
|
Find the modulus of 73! with prime number 4079. return the result in \boxed{} format.
|
2648
|
modulus_factorial
|
Find the modulus of 80! with prime number 6917. return the result in \boxed{} format.
|
5976
|
modulus_factorial
|
Find the modulus of 32! with prime number 1823. return the result in \boxed{} format.
|
250
|
modulus_factorial
|
Find the modulus of 68! with prime number 3329. return the result in \boxed{} format.
|
275
|
modulus_factorial
|
Find the modulus of 22! with prime number 127. return the result in \boxed{} format.
|
103
|
modulus_factorial
|
Find the modulus of 85! with prime number 5417. return the result in \boxed{} format.
|
338
|
modulus_factorial
|
Find the modulus of 26! with prime number 3089. return the result in \boxed{} format.
|
2032
|
modulus_factorial
|
Find the modulus of 41! with prime number 6449. return the result in \boxed{} format.
|
4043
|
modulus_factorial
|
Find the modulus of 51! with prime number 5059. return the result in \boxed{} format.
|
4926
|
modulus_factorial
|
Find the modulus of 85! with prime number 857. return the result in \boxed{} format.
|
11
|
modulus_factorial
|
Find the modulus of 369! with prime number 4967. return the result in \boxed{} format.
|
3418
|
modulus_factorial
|
Find the modulus of 797! with prime number 4241. return the result in \boxed{} format.
|
428
|
modulus_factorial
|
Find the modulus of 337! with prime number 4421. return the result in \boxed{} format.
|
2171
|
modulus_factorial
|
Find the modulus of 971! with prime number 2333. return the result in \boxed{} format.
|
1174
|
modulus_factorial
|
Find the modulus of 906! with prime number 1663. return the result in \boxed{} format.
|
4
|
modulus_factorial
|
Find the modulus of 314! with prime number 7573. return the result in \boxed{} format.
|
444
|
modulus_factorial
|
Find the modulus of 241! with prime number 2593. return the result in \boxed{} format.
|
2006
|
modulus_factorial
|
Find the modulus of 798! with prime number 4283. return the result in \boxed{} format.
|
1437
|
modulus_factorial
|
Find the modulus of 605! with prime number 3643. return the result in \boxed{} format.
|
141
|
modulus_factorial
|
Find the modulus of 665! with prime number 6311. return the result in \boxed{} format.
|
1000
|
modulus_factorial
|
Find the modulus of 675! with prime number 467. return the result in \boxed{} format.
|
0
|
modulus_factorial
|
Find the modulus of 446! with prime number 7793. return the result in \boxed{} format.
|
5555
|
modulus_factorial
|
Find the modulus of 866! with prime number 257. return the result in \boxed{} format.
|
0
|
modulus_factorial
|
Find the modulus of 622! with prime number 5711. return the result in \boxed{} format.
|
2238
|
modulus_factorial
|
Find the modulus of 762! with prime number 6857. return the result in \boxed{} format.
|
6434
|
modulus_factorial
|
Find the modulus of 928! with prime number 5503. return the result in \boxed{} format.
|
1189
|
modulus_factorial
|
Find the modulus of 492! with prime number 3533. return the result in \boxed{} format.
|
2259
|
modulus_factorial
|
Find the modulus of 366! with prime number 4801. return the result in \boxed{} format.
|
3963
|
modulus_factorial
|
Find the modulus of 361! with prime number 1787. return the result in \boxed{} format.
|
893
|
modulus_factorial
|
Find the modulus of 882! with prime number 3271. return the result in \boxed{} format.
|
450
|
modulus_factorial
|
Find the modulus of 651! with prime number 607. return the result in \boxed{} format.
|
0
|
modulus_factorial
|
Find the modulus of 785! with prime number 683. return the result in \boxed{} format.
|
0
|
modulus_factorial
|
Find the modulus of 727! with prime number 5869. return the result in \boxed{} format.
|
4693
|
modulus_factorial
|
Find the modulus of 331! with prime number 2971. return the result in \boxed{} format.
|
1087
|
modulus_factorial
|
Find the modulus of 500! with prime number 1531. return the result in \boxed{} format.
|
167
|
modulus_factorial
|
Find the modulus of 717! with prime number 839. return the result in \boxed{} format.
|
614
|
modulus_factorial
|
Find the modulus of 257! with prime number 3037. return the result in \boxed{} format.
|
654
|
modulus_factorial
|
Find the modulus of 422! with prime number 7687. return the result in \boxed{} format.
|
5576
|
modulus_factorial
|
Find the modulus of 150! with prime number 941. return the result in \boxed{} format.
|
638
|
modulus_factorial
|
Find the modulus of 652! with prime number 739. return the result in \boxed{} format.
|
88
|
modulus_factorial
|
Find the modulus of 4^87 with prime number 263. return the result in \boxed{} format.
|
200
|
modulus_exp
|
Find the modulus of 2^46 with prime number 227. return the result in \boxed{} format.
|
3
|
modulus_exp
|
Find the modulus of 6^96 with prime number 233. return the result in \boxed{} format.
|
76
|
modulus_exp
|
Find the modulus of 9^25 with prime number 53. return the result in \boxed{} format.
|
6
|
modulus_exp
|
Find the modulus of 9^75 with prime number 79. return the result in \boxed{} format.
|
22
|
modulus_exp
|
Find the modulus of 1^85 with prime number 379. return the result in \boxed{} format.
|
1
|
modulus_exp
|
Find the modulus of 8^6 with prime number 113. return the result in \boxed{} format.
|
97
|
modulus_exp
|
Find the modulus of 9^2 with prime number 227. return the result in \boxed{} format.
|
81
|
modulus_exp
|
Find the modulus of 8^11 with prime number 2. return the result in \boxed{} format.
|
0
|
modulus_exp
|
Find the modulus of 3^35 with prime number 503. return the result in \boxed{} format.
|
190
|
modulus_exp
|
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