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stringlengths 112
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stringlengths 1
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|---|---|---|
Find the greatest common divisor of 842096 and 129406. return the result in \boxed{} format. Do not use or output any code. | 2 | gcd |
Find the greatest common divisor of 195205 and 899195. return the result in \boxed{} format. Do not use or output any code. | 5 | gcd |
Find the greatest common divisor of 387248 and 477498. return the result in \boxed{} format. Do not use or output any code. | 2 | gcd |
Find the greatest common divisor of 757215 and 591374. return the result in \boxed{} format. Do not use or output any code. | 1 | gcd |
Find the greatest common divisor of 272598 and 594577. return the result in \boxed{} format. Do not use or output any code. | 1 | gcd |
Find the greatest common divisor of 148623 and 897652. return the result in \boxed{} format. Do not use or output any code. | 1 | gcd |
Find the greatest common divisor of 572798 and 976704. return the result in \boxed{} format. Do not use or output any code. | 2 | gcd |
Find the greatest common divisor of 788706 and 356769. return the result in \boxed{} format. Do not use or output any code. | 9 | gcd |
Find the greatest common divisor of 154339 and 853952. return the result in \boxed{} format. Do not use or output any code. | 1 | gcd |
Find the greatest common divisor of 943697 and 383902. return the result in \boxed{} format. Do not use or output any code. | 1 | gcd |
Find the greatest common divisor of 866501 and 787811. return the result in \boxed{} format. Do not use or output any code. | 1 | gcd |
Find the greatest common divisor of 458653 and 946047. return the result in \boxed{} format. Do not use or output any code. | 1 | gcd |
Find the greatest common divisor of 818529 and 979127. return the result in \boxed{} format. Do not use or output any code. | 1 | gcd |
Find the greatest common divisor of 191239 and 332202. return the result in \boxed{} format. Do not use or output any code. | 1 | gcd |
Find the greatest common divisor of 861980 and 549348. return the result in \boxed{} format. Do not use or output any code. | 4 | gcd |
Find the greatest common divisor of 967841 and 578348. return the result in \boxed{} format. Do not use or output any code. | 1 | gcd |
Find the greatest common divisor of 415609 and 203819. return the result in \boxed{} format. Do not use or output any code. | 1 | gcd |
Find the greatest common divisor of 437283 and 883001. return the result in \boxed{} format. Do not use or output any code. | 7 | gcd |
Find the greatest common divisor of 283768 and 211237. return the result in \boxed{} format. Do not use or output any code. | 1 | gcd |
Find the greatest common divisor of 504085 and 807298. return the result in \boxed{} format. Do not use or output any code. | 1 | gcd |
Find the Euler's totient function of 41695. return the result in \boxed{} format. Do not use or output any code. | 32160 | phi |
Find the Euler's totient function of 65243. return the result in \boxed{} format. Do not use or output any code. | 63960 | phi |
Find the Euler's totient function of 11518. return the result in \boxed{} format. Do not use or output any code. | 5304 | phi |
Find the Euler's totient function of 37449. return the result in \boxed{} format. Do not use or output any code. | 23328 | phi |
Find the Euler's totient function of 31917. return the result in \boxed{} format. Do not use or output any code. | 21276 | phi |
Find the Euler's totient function of 77303. return the result in \boxed{} format. Do not use or output any code. | 73920 | phi |
Find the Euler's totient function of 62828. return the result in \boxed{} format. Do not use or output any code. | 30912 | phi |
Find the Euler's totient function of 75003. return the result in \boxed{} format. Do not use or output any code. | 47784 | phi |
Find the Euler's totient function of 29465. return the result in \boxed{} format. Do not use or output any code. | 22960 | phi |
Find the Euler's totient function of 33747. return the result in \boxed{} format. Do not use or output any code. | 19272 | phi |
Find the Euler's totient function of 88208. return the result in \boxed{} format. Do not use or output any code. | 42624 | phi |
Find the Euler's totient function of 88706. return the result in \boxed{} format. Do not use or output any code. | 41728 | phi |
Find the Euler's totient function of 10031. return the result in \boxed{} format. Do not use or output any code. | 8592 | phi |
Find the Euler's totient function of 43526. return the result in \boxed{} format. Do not use or output any code. | 18648 | phi |
Find the Euler's totient function of 99480. return the result in \boxed{} format. Do not use or output any code. | 26496 | phi |
Find the Euler's totient function of 31233. return the result in \boxed{} format. Do not use or output any code. | 20048 | phi |
Find the Euler's totient function of 13921. return the result in \boxed{} format. Do not use or output any code. | 13920 | phi |
Find the Euler's totient function of 98515. return the result in \boxed{} format. Do not use or output any code. | 69120 | phi |
Find the Euler's totient function of 46173. return the result in \boxed{} format. Do not use or output any code. | 30780 | phi |
Find the Euler's totient function of 37268. return the result in \boxed{} format. Do not use or output any code. | 14520 | phi |
Find the Euler's totient function of 324897. return the result in \boxed{} format. Do not use or output any code. | 210672 | phi |
Find the Euler's totient function of 929197. return the result in \boxed{} format. Do not use or output any code. | 929196 | phi |
Find the Euler's totient function of 820290. return the result in \boxed{} format. Do not use or output any code. | 212544 | phi |
Find the Euler's totient function of 784816. return the result in \boxed{} format. Do not use or output any code. | 388800 | phi |
Find the Euler's totient function of 971073. return the result in \boxed{} format. Do not use or output any code. | 647376 | phi |
Find the Euler's totient function of 991318. return the result in \boxed{} format. Do not use or output any code. | 469800 | phi |
Find the Euler's totient function of 585200. return the result in \boxed{} format. Do not use or output any code. | 172800 | phi |
Find the Euler's totient function of 194080. return the result in \boxed{} format. Do not use or output any code. | 77568 | phi |
Find the Euler's totient function of 726939. return the result in \boxed{} format. Do not use or output any code. | 463536 | phi |
Find the Euler's totient function of 558945. return the result in \boxed{} format. Do not use or output any code. | 298080 | phi |
Find the Euler's totient function of 791570. return the result in \boxed{} format. Do not use or output any code. | 292224 | phi |
Find the Euler's totient function of 333740. return the result in \boxed{} format. Do not use or output any code. | 115200 | phi |
Find the Euler's totient function of 656022. return the result in \boxed{} format. Do not use or output any code. | 211560 | phi |
Find the Euler's totient function of 361433. return the result in \boxed{} format. Do not use or output any code. | 361432 | phi |
Find the Euler's totient function of 749675. return the result in \boxed{} format. Do not use or output any code. | 592800 | phi |
Find the Euler's totient function of 415563. return the result in \boxed{} format. Do not use or output any code. | 273000 | phi |
Find the Euler's totient function of 814868. return the result in \boxed{} format. Do not use or output any code. | 403200 | phi |
Find the Euler's totient function of 108566. return the result in \boxed{} format. Do not use or output any code. | 51408 | phi |
Find the Euler's totient function of 591211. return the result in \boxed{} format. Do not use or output any code. | 589000 | phi |
Find the Euler's totient function of 207943. return the result in \boxed{} format. Do not use or output any code. | 198880 | phi |
Find the Euler's totient function of 3955648. return the result in \boxed{} format. Do not use or output any code. | 1873152 | phi |
Find the Euler's totient function of 4007957. return the result in \boxed{} format. Do not use or output any code. | 3833676 | phi |
Find the Euler's totient function of 3967693. return the result in \boxed{} format. Do not use or output any code. | 3606400 | phi |
Find the Euler's totient function of 5319509. return the result in \boxed{} format. Do not use or output any code. | 4696560 | phi |
Find the Euler's totient function of 8639995. return the result in \boxed{} format. Do not use or output any code. | 5142528 | phi |
Find the Euler's totient function of 7047763. return the result in \boxed{} format. Do not use or output any code. | 7040968 | phi |
Find the Euler's totient function of 7408820. return the result in \boxed{} format. Do not use or output any code. | 2963520 | phi |
Find the Euler's totient function of 4922381. return the result in \boxed{} format. Do not use or output any code. | 4914492 | phi |
Find the Euler's totient function of 3880630. return the result in \boxed{} format. Do not use or output any code. | 1432800 | phi |
Find the Euler's totient function of 4339046. return the result in \boxed{} format. Do not use or output any code. | 2041632 | phi |
Find the Euler's totient function of 9445537. return the result in \boxed{} format. Do not use or output any code. | 9445536 | phi |
Find the Euler's totient function of 6005200. return the result in \boxed{} format. Do not use or output any code. | 2401920 | phi |
Find the Euler's totient function of 5450443. return the result in \boxed{} format. Do not use or output any code. | 5443648 | phi |
Find the Euler's totient function of 2469088. return the result in \boxed{} format. Do not use or output any code. | 1123200 | phi |
Find the Euler's totient function of 7407859. return the result in \boxed{} format. Do not use or output any code. | 7407858 | phi |
Find the Euler's totient function of 6516732. return the result in \boxed{} format. Do not use or output any code. | 2172240 | phi |
Find the Euler's totient function of 5451019. return the result in \boxed{} format. Do not use or output any code. | 4672296 | phi |
Find the Euler's totient function of 5723063. return the result in \boxed{} format. Do not use or output any code. | 5525688 | phi |
Find the Euler's totient function of 6808139. return the result in \boxed{} format. Do not use or output any code. | 6218496 | phi |
Find the Euler's totient function of 6294520. return the result in \boxed{} format. Do not use or output any code. | 2517792 | phi |
Check if 2801 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | True | is_prime |
Check if 9799 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | False | is_prime |
Check if 1209 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | False | is_prime |
Check if 9397 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | True | is_prime |
Check if 7477 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | True | is_prime |
Check if 6997 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | True | is_prime |
Check if 4769 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | False | is_prime |
Check if 8303 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | False | is_prime |
Check if 5889 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | False | is_prime |
Check if 6131 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | True | is_prime |
Check if 44321 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | False | is_prime |
Check if 70229 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | True | is_prime |
Check if 34367 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | True | is_prime |
Check if 39217 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | True | is_prime |
Check if 28547 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | True | is_prime |
Check if 18901 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | False | is_prime |
Check if 32719 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | True | is_prime |
Check if 82033 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | False | is_prime |
Check if 16397 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | False | is_prime |
Check if 13019 is a prime number. return True if it is, False otherwise.return the result in \boxed{} format. Do not use or output any code. | False | is_prime |