prompt
stringlengths 112
207
| answer
stringlengths 1
7
| task
stringclasses 6
values |
|---|---|---|
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
|
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