prompt
stringlengths 81
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|---|---|---|
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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