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stringlengths 270
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| meta
dict |
|---|---|
Is 254451677 a composite number?
False
Is 14568821 composite?
True
Is 214958769 a composite number?
True
Is 1724903 a prime number?
False
Is 181182919 composite?
False
Is 21577211 composite?
False
Is 3208001 prime?
True
Is 48507769 a composite number?
False
Is 64255522 a composite number?
True
Is 516403 prime?
False
Is 4588273 a prime number?
False
Is 55867873 a composite number?
True
Is 167753453 a prime number?
False
Is 1496021 a composite number?
True
Is 513509 a composite number?
False
Is 10530187 prime?
True
Is 11560503 composite?
True
Is 79657451 a prime number?
True
Is 1346693 composite?
False
Is 231628109 composite?
False
Is 19648381 a prime number?
True
Is 112577063 a composite number?
False
Is 83422199 a composite number?
True
Is 21363 prime?
False
Is 63903241 a composite number?
True
Is 43424113 a prime number?
False
Is 119933599 a prime number?
False
Is 46492471 a prime number?
False
Is 49536707 composite?
True
Is 123541751 a composite number?
False
Is 141336199 a prime number?
False
Is 84964741 composite?
True
Is 2408723 composite?
False
Is 6664277 a prime number?
True
Is 249455 prime?
False
Is 766221431 a composite number?
True
Is 4712287 a prime number?
True
Is 210299 composite?
False
Is 28546387 composite?
False
Is 36251 composite?
False
Is 44669593 a prime number?
True
Is 23281711 composite?
False
Is 94581691 a prime number?
False
Is 9733677 prime?
False
Is 115009751 composite?
False
Is 158793289 composite?
False
Is 1201439 a prime number?
True
Is 5494807 composite?
False
Is 3618287 composite?
True
Is 10985785 composite?
True
Is 201770173 a prime number?
False
Is 9156821 a prime number?
True
Is 31071659 prime?
False
Is 7224809 prime?
True
Is 2965763 a composite number?
False
Is 62961427 composite?
False
Is 10679239 a prime number?
True
Is 48485599 prime?
True
Is 34743187 a composite number?
False
Is 444432158 composite?
True
Is 71194373 composite?
False
Is 16473271 composite?
False
Is 991153 composite?
True
Is 29561933 a prime number?
False
Is 4095451 a prime number?
True
Is 35962723 a prime number?
False
Is 5111534 a composite number?
True
Is 7368743 a composite number?
False
Is 20499749 prime?
True
Is 23889937 composite?
False
Is 24125483 composite?
False
Is 123165691 a prime number?
False
Is 6071617 prime?
True
Is 331799 a prime number?
False
Is 260747303 a composite number?
False
Is 25129867 a composite number?
True
Is 28543477 a composite number?
False
Is 10179263 a prime number?
True
Is 237601337 a prime number?
True
Is 391952569 a composite number?
True
Is 1315201 a prime number?
False
Is 261817 composite?
True
Is 13990051 a prime number?
False
Is 368554409 a prime number?
True
Is 97264223 a prime number?
False
Is 132631 prime?
True
Is 6266647 a composite number?
True
Is 1682987 a prime number?
True
Is 34239799 prime?
False
Is 72731509 a prime number?
False
Is 8060791 a composite number?
False
Is 1453535 a composite number?
True
Is 1729591 prime?
True
Is 11273089 a composite number?
False
Is 19791797 prime?
True
Is 17178899 a composite number?
False
Is 256003889 a prime number?
False
Is 318465031 prime?
False
Is 37558289 prime?
True
Is 877575191 prime?
True
Is 15106513 prime?
True
Is 621973 a composite number?
True
Is 94082201 a composite number?
True
Is 29868757 composite?
True
Is 7402339 a composite number?
True
Is 134750321 composite?
False
Is 15069211 prime?
True
Is 2312543807 prime?
False
Is 403483 prime?
True
Is 52095553 composite?
True
Is 316631 a prime number?
False
Is 2371209 a composite number?
True
Is 6667211 a prime number?
False
Is 31132807 composite?
True
Is 155203827 a prime number?
False
Is 33103209 prime?
False
Is 643358 prime?
False
Is 40059191 prime?
False
Is 967349 prime?
True
Is 470845 a prime number?
False
Is 19137203 prime?
True
Is 2247883 a composite number?
True
Is 1651307 composite?
True
Is 7074701 a composite number?
False
Is 3304447 a composite number?
True
Is 103444007 prime?
True
Is 4811461 prime?
True
Is 459937 composite?
False
Is 60774317 composite?
True
Is 15714313 a prime number?
False
Is 672587 a composite number?
False
Is 46241 a prime number?
False
Is 153775877 a composite number?
False
Is 5966921 composite?
False
Is 7440673 composite?
True
Is 14874403 a composite number?
False
Is 28842529 prime?
False
Is 2332627 a prime number?
False
Is 6198949 a prime number?
False
Is 12549457 prime?
True
Is 2983963 a prime number?
False
Is 2240267 a prime number?
True
Is 1118517 prime?
False
Is 150348829 a composite number?
True
Is 14408029 prime?
False
Is 166541 a prime number?
True
Is 10433693 a prime number?
True
Is 222708361 a prime number?
False
Is 15130513 a composite number?
False
Is 48028361 composite?
False
Is 496800191 composite?
False
Is 6223417 composite?
True
Is 9121199 prime?
True
Is 17535851 a composite number?
False
Is 145341173 a prime number?
False
Is 1655067 composite?
True
Is 19070303 prime?
False
Is 2894813 composite?
False
Is 129902833 a prime number?
False
Is 33802361 prime?
True
Is 152861999 a composite number?
True
Is 464345529 a composite number?
True
Is 693943 composite?
False
Is 557981 a prime number?
True
Is 3005927 composite?
True
Is 16774831 prime?
False
Is 50235737 composite?
True
Is 25930237 a composite number?
False
Is 3586019 composite?
False
Is 64661 prime?
True
Is 193407569 composite?
False
Is 14791631 prime?
True
Is 1527691387 a prime number?
True
Is 5029153 a composite number?
True
Is 26746361 a prime number?
True
Is 1581869 composite?
False
Is 10223849 composite?
True
Is 3497071 composite?
False
Is 56261699 composite?
True
Is 30461 prime?
False
Is 114716757 composite?
True
Is 1629767 composite?
False
Is 104995493 a prime number?
False
Is 37278169 a composite number?
False
Is 571631 composite?
True
Is 13951167 a prime number?
False
Is 483370919 a composite number?
True
Is 13664219 prime?
True
Is 275621083 prime?
True
Is 139642297 composite?
True
Is 888331 prime?
False
Is 44014181 composite?
False
Is 150354229 a composite number?
False
Is 355484143 composite?
True
Is 767230987 a composite number?
True
Is 25326953 a composite number?
False
Is 7713647 a prime number?
False
Is 12654581 a prime number?
False
Is 921703 prime?
True
Is 1217747 prime?
False
Is 12764165 a prime number?
False
Is 159086338 a prime number?
False
Is 10007993 composite?
True
Is 1667131 prime?
True
Is 3666269 a composite number?
True
Is 8105029 prime?
False
Is 403117985 a prime number?
False
Is 8492947 prime?
False
Is 826567 a composite number?
True
Is 105530498 prime?
False
Is 310881901 a composite number?
True
Is 72517283 composite?
False
Is 3289397 composite?
False
Is 30993107 composite?
False
Is 18358805 composite?
True
Is 8502577 a composite number?
False
Is 436693 a prime number?
True
Is 795323 prime?
True
Is 6216943 prime?
True
Is 15357367 prime?
False
Is 302172529 a composite number?
False
Is 104427121 prime?
True
Is 7318247 a prime number?
True
Is 1810507 composite?
False
Is 4314731 a prime number?
False
Is 9190609 prime?
False
Is 3695777 prime?
False
Is 2391223 a prime number?
False
Is 84547649 prime?
False
Is 14061097 a composite number?
False
Is 68096939 prime?
True
Is 3461641 a prime number?
True
Is 23360429 a composite number?
False
Is 1182561 a composite number?
True
Is 61218321 a prime number?
False
Is 22975471 a composite number?
False
Is 3872357 a prime number?
False
Is 885379 prime?
False
Is 933800947 a composite number?
False
Is 1640409502 composite?
True
Is 2121367 prime?
True
Is 20259937 prime?
False
Is 15935455 a composite number?
True
Is 5343103 a composite number?
False
Is 58725479 a prime number?
True
Is 2090771 a composite number?
False
Is 58265561 prime?
True
Is 70296841 prime?
False
Is 221398883 a composite number?
True
Is 13869151 a prime number?
True
Is 542683 prime?
True
Is 205545091 a prime number?
False
Is 88848497 a composite number?
False
Is 184094549 a prime number?
False
Is 108776981 a composite number?
False
Is 3738977 a composite number?
True
Is 25376907 composite?
True
Is 42141479 a composite number?
False
Is 317091833 a prime number?
False
Is 26403305 composite?
True
Is 3603058 prime?
False
Is 117522527 prime?
True
Is 3846343 a prime number?
False
Is 225842141 a prime number?
False
Is 51465617 composite?
True
Is 50001031 a composite number?
True
|
{
"pile_set_name": "DM Mathematics"
}
|
a
Which is the second smallest value? (a) 123 (b) 3 (c) 5/6
b
What is the biggest value in 1/31, -8, -0.4?
1/31
What is the second smallest value in -2/7, -7, -120, -4, 0.5?
-7
Which is the fourth smallest value? (a) 0.1 (b) 1 (c) -1/4 (d) -2/17
b
Which is the third smallest value? (a) -0.3 (b) -19 (c) 7
c
What is the second biggest value in -5, 2/9, -1.7, 0.4, -1?
2/9
What is the third smallest value in 5, -4/5, -0.1, -0.109?
-0.1
Which is the second smallest value? (a) -2/3 (b) -0.5 (c) -147 (d) 1/3
a
Which is the third smallest value? (a) 3/4 (b) 2/3 (c) 543
c
Which is the second biggest value? (a) -2/57 (b) 0.1 (c) -1/2 (d) -1
a
Which is the fourth smallest value? (a) 1 (b) -2/3 (c) 3 (d) -7/87
c
What is the third biggest value in 17/2, 0.1, -2/9?
-2/9
What is the third smallest value in -2, -21, 1.2?
1.2
Which is the second smallest value? (a) -2 (b) 2/7 (c) 5/28 (d) 0.3
c
Which is the second smallest value? (a) -0.3 (b) 2 (c) -1/2 (d) -34
c
What is the third smallest value in -5, -5.8, 5, -51?
-5
Which is the third biggest value? (a) -1 (b) 5/6 (c) 1/5 (d) 0.1 (e) 4
c
What is the biggest value in 1/3, -3/4, 0.17?
1/3
What is the fifth smallest value in 5, -5, 0, -115, -0.5?
5
What is the third smallest value in 591, -0.3, 1/6?
591
What is the second smallest value in 1/3, -3, -2081?
-3
Which is the third smallest value? (a) -0.4 (b) -59 (c) -2/15 (d) 0
c
Which is the biggest value? (a) -0.05 (b) 5 (c) -0.076 (d) 4
b
Which is the smallest value? (a) 8 (b) 1/3 (c) -89
c
What is the biggest value in -1/131, 2/9, 1/20?
2/9
What is the third smallest value in 0, -1/6, -0.4, -4?
-1/6
Which is the second biggest value? (a) -0.9 (b) -1.6 (c) 5 (d) -2/11
d
Which is the third biggest value? (a) 3/11 (b) 1/16 (c) -0.1
c
What is the biggest value in -13, -1/2, -0.004, 4?
4
Which is the second smallest value? (a) 4 (b) 1 (c) -3/2 (d) 2
b
What is the smallest value in -14, 2/37, 0.1?
-14
What is the second smallest value in -2/7, -4, -6/11, 147?
-6/11
What is the third smallest value in 2/3, 3/4, 0.12, 2?
3/4
Which is the third biggest value? (a) 5 (b) -1/3 (c) 3 (d) -4 (e) 4
c
What is the second smallest value in 2, 0.5, -2/13, 216/23?
0.5
Which is the third biggest value? (a) 4/7 (b) -0.776 (c) -5
c
Which is the second smallest value? (a) -2/13 (b) -207 (c) 4/13
a
Which is the fourth biggest value? (a) -2/73 (b) 0.2 (c) -6 (d) -2/11
c
What is the third biggest value in -6.6, 27, 3?
-6.6
Which is the fourth biggest value? (a) 4 (b) 1/5 (c) 0.0022 (d) 0.1 (e) -3
c
Which is the smallest value? (a) 26 (b) -1/5 (c) 22/7
b
Which is the second smallest value? (a) -0.106 (b) 0.3 (c) 2
b
Which is the second biggest value? (a) -1 (b) 0 (c) -0.1 (d) 4
b
What is the third biggest value in -0.1, -0.4, -2/159?
-0.4
Which is the fourth smallest value? (a) 0.5 (b) 4/9 (c) 2 (d) 0
c
What is the third biggest value in 2, -1, -279?
-279
What is the second biggest value in 22, 4, 4/7, 2?
4
What is the smallest value in 14/15, 3/95, -2?
-2
What is the second smallest value in 8, -1/6, 10.9, -2/5?
-1/6
What is the biggest value in 1/9, -8, 1, 3/5?
1
What is the third biggest value in 0.3, 13, -2/7?
-2/7
What is the third biggest value in 592, -5, 1?
-5
What is the third smallest value in 0.4, -1, 4, -2, 54?
0.4
What is the second smallest value in -0.1, -2/3, -177, -3/7?
-2/3
Which is the second smallest value? (a) -0.07 (b) -2/7 (c) 1.2
a
What is the second smallest value in -4/7, 6, -0.21, -4?
-4/7
What is the second biggest value in -0.1, 2, 20?
2
Which is the biggest value? (a) -0.406 (b) -0.3 (c) 1 (d) 5 (e) -3
d
What is the second biggest value in 2, 0.8, -9?
0.8
Which is the second smallest value? (a) -0.4 (b) 5 (c) -1/2 (d) -5 (e) 2
c
What is the fourth biggest value in -2.9, -2/25, 4, -1/3?
-2.9
What is the third smallest value in -2, -34, 0.3, 5?
0.3
What is the smallest value in -3/5, 37, -2/5?
-3/5
What is the third biggest value in -2/11, -7, 18?
-7
Which is the fourth biggest value? (a) -25 (b) -0.5 (c) 1/5 (d) -4 (e) 1
d
What is the second biggest value in -12, -3, 0, -2/7, 0.5?
0
What is the third smallest value in -2, 4, -53?
4
Which is the third biggest value? (a) -1 (b) -25/9 (c) 4
b
What is the third smallest value in -1/3, 150, 0.2?
150
What is the second biggest value in -5, -20, 5, -3?
-3
Which is the fourth smallest value? (a) 99 (b) -6/7 (c) 0.2 (d) 3/2 (e) 1/2
d
Which is the biggest value? (a) -1/8 (b) 4/3 (c) 3 (d) -9/8
c
What is the second biggest value in 0.2, -5/2, -5?
-5/2
Which is the second biggest value? (a) 3.56 (b) 0.3 (c) -0.42
b
Which is the second smallest value? (a) -4 (b) -1/3 (c) 8 (d) 5 (e) 4
b
What is the biggest value in 0, -0.1466, -1/6, -5?
0
Which is the fourth smallest value? (a) -0.5 (b) 25 (c) 1 (d) -3 (e) 4
e
Which is the fourth biggest value? (a) -1.2 (b) 0.2 (c) -2/13 (d) -5
d
What is the fifth smallest value in 2/13, -1, 4, -4.7, -2/17?
4
Which is the third smallest value? (a) 5/2 (b) -1/5178 (c) 0
a
Which is the second smallest value? (a) -5 (b) -0.3 (c) -1620
a
Which is the biggest value? (a) -3/4 (b) -3 (c) 2/3 (d) 4/7
c
What is the second biggest value in -3, -163, 2/7?
-3
Which is the second smallest value? (a) 0.04 (b) 1/3 (c) -4 (d) 0.4 (e) -10
c
What is the second biggest value in 6/127, 0.4, -0.4?
6/127
Which is the second smallest value? (a) 1/11 (b) 4 (c) 15/82
c
What is the third smallest value in -3/2, 1, -13, -5/9?
-5/9
Which is the third biggest value? (a) 0 (b) 4 (c) -5 (d) -4
d
What is the smallest value in 0.5, 152, -5?
-5
What is the third smallest value in -2/7, -2, -2/3?
-2/7
Which is the third biggest value? (a) 0.5 (b) -3 (c) -0.1 (d) 210
c
What is the fourth biggest value in -0.3, 0, 4/3, -1?
-1
What is the third smallest value in 2/3, -0.3, -0.09, 19?
2/3
Which is the fourth smallest value? (a) -10 (b) -3 (c) -20 (d) 0.01 (e) -0.1
e
Which is the second biggest value? (a) -2 (b) 2/19 (c) -9 (d) 0.4
b
What is the biggest value in -1/11, -3, -7, -4?
-1/11
What is the third smallest value in -23, 0, 2?
2
What is the smallest value in -1, -4, 843?
-4
What is the biggest value in -0.1, 0.07, 10, -0.3, 0.3?
10
Which is the third smallest value? (a) 18 (b) -0.6 (c) -3
a
Which is the smallest value? (a) -0.1 (b) -1 (c) 1 (d) 13
b
What is the second biggest value in 46, 1/5, 0.3, 5?
5
Which is the third biggest value? (a) -1/11 (b) -5/2 (c) -0.4 (d) 3/7
c
What is the fourth biggest value in -4, 0, -1/5, 3/8?
-4
Which is the fifth smallest value? (a) -0.4 (b) -54 (c) -1 (d) 12/7 (e) -0.5
d
Which is the second smallest value? (a) -4 (b) 186 (c) 0.3 (d) 8/7
c
Which is the fourth smallest value? (a) 4 (b) 2/11 (c) 2/9 (d) -0.5 (e) 2
e
Which is the biggest value? (a) 1/16 (b) -3 (c) 0.05 (d) -0.3
a
What is the third smallest value in 0, 4, 0.098, -19?
0.098
Which is the smallest value? (a) -3 (b) -5 (c) -44
c
Which is the third smallest value? (a) 1/10 (b) -1/3 (c) -1/7 (d) -249
c
Which is the second smallest value? (a) 0 (b) 3/4 (c) -7.6 (d) -0.4
d
What is the second smallest value in -2, -146, -3?
-3
What is the smallest value in 1/5, -2/5, -0.5, 1.5?
-0.5
What is the third smallest value in -0.01, -0.8, 27?
27
What is the fourth biggest value in -0.03, -12, 0.03, -0.4?
-12
What is the biggest value in 4/3, 0.4, 3, 6/5?
3
What is the second biggest value in 0.3, 0.315, -3/5?
0.3
What is the smallest value in -2, 0.3, 3, 2/19?
-2
Which is the third smallest value? (a) -4 (b) 5/3 (c) 0.05
b
What is the biggest value in 20450, 3, -2?
20450
Which is the fifth biggest value? (a) 3 (b) -2/15 (c) -0.5 (d) 0 (e) -0.11
c
Which is the third biggest value? (a) -3 (b) -4 (c) -1/2 (d) 0.1
a
Which is the third smallest value? (a) -2 (b) 3 (c) 2 (d) -9/7
c
What is the biggest value in 5, 2, -0.28?
5
Which is the third smallest value? (a) -1 (b) -0.4 (c) 2/7 (d) 1/2
c
Which is the third biggest value? (a) -3/4 (b) -0.4 (c) -4/5 (d) 0.4
a
What is the smallest value in -3, -0.04, 1, -13?
-13
Which is the smallest value? (a) -3 (b) -2/5 (c) 1/29
a
What is the third biggest value
|
{
"pile_set_name": "DM Mathematics"
}
|
08?
k + 802
What is the x'th term of -6, 2, 10?
8*x - 14
What is the v'th term of -32, -58, -82, -104, -124, -142, -158?
v**2 - 29*v - 4
What is the t'th term of 828, 1663, 2486, 3291, 4072, 4823, 5538?
-t**3 + 842*t - 13
What is the k'th term of -45, -60, -81, -108, -141, -180?
-3*k**2 - 6*k - 36
What is the f'th term of -27, -26, -23, -18, -11?
f**2 - 2*f - 26
What is the m'th term of 19, 18, 9, -14, -57, -126, -227, -366?
-m**3 + 2*m**2 + 18
What is the u'th term of 0, 5, 10, 15, 20, 25?
5*u - 5
What is the l'th term of 148, 149, 150, 151, 152?
l + 147
What is the a'th term of 88, 89, 92, 97, 104?
a**2 - 2*a + 89
What is the i'th term of -15051, -30104, -45157, -60210, -75263, -90316?
-15053*i + 2
What is the y'th term of -58, -102, -156, -226, -318, -438, -592, -786?
-y**3 + y**2 - 40*y - 18
What is the r'th term of -57, -240, -735, -1698, -3285, -5652, -8955?
-26*r**3 - r - 30
What is the v'th term of -14, -13, -10, -5, 2, 11, 22?
v**2 - 2*v - 13
What is the l'th term of 567, 568, 569?
l + 566
What is the g'th term of 42, 37, 32?
-5*g + 47
What is the v'th term of 197, 389, 581, 773, 965?
192*v + 5
What is the l'th term of 261, 259, 259, 261?
l**2 - 5*l + 265
What is the i'th term of -164, -385, -616, -863, -1132, -1429?
-i**3 + i**2 - 217*i + 53
What is the c'th term of -3719, -7433, -11147, -14861, -18575, -22289?
-3714*c - 5
What is the y'th term of 169, 336, 503?
167*y + 2
What is the q'th term of 709, 1414, 2125, 2842, 3565, 4294, 5029?
3*q**2 + 696*q + 10
What is the t'th term of 1555, 1553, 1551?
-2*t + 1557
What is the h'th term of 6232, 6228, 6222, 6214?
-h**2 - h + 6234
What is the a'th term of 52, 87, 122, 157, 192?
35*a + 17
What is the q'th term of 26, 83, 194, 371, 626, 971, 1418, 1979?
2*q**3 + 15*q**2 - 2*q + 11
What is the h'th term of 3, 4, 7, 12, 19?
h**2 - 2*h + 4
What is the u'th term of -19, -45, -91, -163, -267, -409, -595?
-u**3 - 4*u**2 - 7*u - 7
What is the v'th term of 2537, 2538, 2539?
v + 2536
What is the h'th term of -574, -1153, -1742, -2347, -2974, -3629?
-h**3 + h**2 - 575*h + 1
What is the n'th term of -56, -62, -72, -86, -104, -126, -152?
-2*n**2 - 54
What is the g'th term of 699, 711, 737, 783, 855, 959?
g**3 + g**2 + 2*g + 695
What is the j'th term of -16, -51, -86, -121, -156, -191?
-35*j + 19
What is the p'th term of -555, -1121, -1687, -2253?
-566*p + 11
What is the t'th term of 59, 94, 129?
35*t + 24
What is the z'th term of -381, -754, -1127, -1500, -1873, -2246?
-373*z - 8
What is the m'th term of -325, -313, -287, -241, -169?
m**3 + m**2 + 2*m - 329
What is the p'th term of 81, 121, 225, 423, 745, 1221, 1881?
5*p**3 + 2*p**2 - p + 75
What is the v'th term of -16, -28, -38, -46?
v**2 - 15*v - 2
What is the z'th term of 24, 26, 28?
2*z + 22
What is the z'th term of 244, 333, 436, 559, 708, 889, 1108?
z**3 + z**2 + 79*z + 163
What is the r'th term of 150, 612, 1388, 2484, 3906, 5660?
r**3 + 151*r**2 + 2*r - 4
What is the v'th term of 0, 17, 44, 87, 152, 245?
v**3 - v**2 + 13*v - 13
What is the j'th term of 45, 97, 157, 225, 301, 385, 477?
4*j**2 + 40*j + 1
What is the m'th term of 179, 630, 1381, 2432?
150*m**2 + m + 28
What is the h'th term of 12, 105, 354, 837, 1632?
13*h**3 + 2*h - 3
What is the y'th term of 30, 26, 22, 18, 14, 10?
-4*y + 34
What is the q'th term of 524, 1044, 1564?
520*q + 4
What is the m'th term of -22, -36, -64, -112, -186, -292, -436, -624?
-m**3 - m**2 - 4*m - 16
What is the l'th term of -10, -64, -214, -508, -994?
-8*l**3 + 2*l - 4
What is the y'th term of 937, 935, 933?
-2*y + 939
What is the u'th term of -6, 2, 14, 30, 50?
2*u**2 + 2*u - 10
What is the a'th term of -103, -207, -317, -433?
-3*a**2 - 95*a - 5
What is the a'th term of -449, -461, -475, -491, -509?
-a**2 - 9*a - 439
What is the c'th term of -30, -196, -640, -1500, -2914, -5020, -7956?
-23*c**3 - c**2 - 2*c - 4
What is the f'th term of -1648, -1646, -1644, -1642, -1640, -1638?
2*f - 1650
What is the x'th term of 29, 114, 313, 674, 1245?
8*x**3 + 9*x**2 + 2*x + 10
What is the s'th term of 645, 1294, 1943?
649*s - 4
What is the j'th term of 505, 500, 493, 484, 473, 460?
-j**2 - 2*j + 508
What is the f'th term of -247, -250, -253, -256?
-3*f - 244
What is the n'th term of 1, 2, 13, 40, 89, 166, 277?
n**3 - n**2 - 3*n + 4
What is the p'th term of -324, -329, -346, -381, -440?
-p**3 + 2*p - 325
What is the i'th term of 62, 258, 586, 1046, 1638, 2362, 3218?
66*i**2 - 2*i - 2
What is the s'th term of -511, -508, -493, -460, -403, -316, -193, -28?
s**3 - 4*s - 508
What is the d'th term of 252, 508, 752, 978, 1180?
-d**3 + 263*d - 10
What is the o'th term of 107, 174, 229, 266, 279, 262, 209, 114?
-o**3 + 74*o + 34
What is the m'th term of 25, 95, 207, 361, 557, 795?
21*m**2 + 7*m - 3
What is the v'th term of -16, -57, -152, -325, -600, -1001, -1552, -2277?
-4*v**3 - 3*v**2 - 4*v - 5
What is the t'th term of 5, -1, -21, -61, -127, -225?
-t**3 - t**2 + 4*t + 3
What is the s'th term of -73, -76, -79, -82, -85?
-3*s - 70
What is the w'th term of -20, -22, -26, -32, -40?
-w**2 + w - 20
What is the a'th term of -173, -340, -505, -668, -829, -988?
a**2 - 170*a - 4
What is the m'th term of 20, 9, -2, -13, -24, -35?
-11*m + 31
What is the r'th term of 345, 1369, 3075, 5463?
341*r**2 + r + 3
What is the b'th term of -2263, -2256, -2249?
7*b - 2270
What is the i'th term of 12, -19, -98, -249, -496?
-4*i**3 - 3*i + 19
What is the a'th term of -18, -21, -24, -27, -30, -33?
-3*a - 15
What is the p'th term of 6554, 6548, 6530, 6494, 6434, 6344?
-p**3 + p + 6554
What is the m'th term of 19, 10, -21, -86, -197, -366, -605?
-2*m**3 + m**2 + 2*m + 18
What is the p'th term of 20, 65, 116, 173?
3*p**2 + 36*p - 19
What is the o'th term of 13, 63, 145, 265, 429?
o**3 + 10*o**2 + 13*o - 11
What is the f'th term of 2, 19, 52, 107, 190?
f**3 + 2*f**2 + 4*f - 5
What is the k'th term of -1633, -3255, -4877, -6499, -8121?
-1622*k - 11
What is the o'th term of -103, -104, -107, -112, -119, -128?
-o**2 + 2*o - 104
What is the n'th term of -256, -258, -260, -262, -264, -266?
-2*n - 254
What is the i'th term of -11, -47, -107, -191, -299?
-12*i**2 + 1
What is the k'th term of 7, 1, -17, -53, -113, -203, -329, -497?
-k**3 + k + 7
What is the j'th term of 8716, 17430, 26144?
8714*j + 2
What is the i'th term of -23490, -23491, -23492?
-i - 23489
What is the s'th term of -12, -38, -84, -156, -260?
-s**3 - 4*s**2 - 7*s
What is the i'th term of -62, -62, -60, -56, -50, -42?
i**2 - 3*i - 60
What is the a'th term of 145, 492, 1071, 1882, 2925, 4200?
116*a**2 - a + 30
What is the c'th term of -35, -23, -3, 25, 61, 105?
4*c**2 - 39
What is the l'th term of -608, -600, -590, -578, -564, -548?
l**2 + 5*l - 614
What is the j'th term of 581, 1160, 1739, 2318?
579*j + 2
What is the v'th term of 112, 89, 28, -89, -280, -563, -956?
-3*v**3 - v**2 + v + 115
What is the z'th term of -861, -860, -859, -858, -857?
z - 862
What is the r'th term of 67, 78, 87, 94, 99?
-r**2 + 14*r + 54
What is the h'th term of -77, -324, -737, -1316, -2061, -2972, -4049?
-83*h**2 + 2*h + 4
What is the r'th term of -17, -24, -33, -44?
-r**2 - 4*r - 12
What is the a'th term of 2494, 4994, 7494, 9994, 12494?
2500*a - 6
What is the o'th term of -368, -362, -352, -338?
2*o**2 - 370
What is the j'th term of -12685, -12684, -12683, -12682?
j - 12686
What is the v'th term of 11645, 11646, 11647, 11648, 11649, 11650?
v + 11644
What is the z'th term of 16, 57, 126, 223, 348, 501?
14*z**2 - z + 3
What is the s'th term of -9, -27, -55, -99, -165, -259, -387, -555?
-s**3 + s**2 - 14*s + 5
What is the k'th term of -76, -70, -58, -40?
3*k**2 - 3*k - 76
What is the g'th term of 72, 56, 34, 6, -28, -68?
-3*g**2 - 7*g + 82
What is the t'th term of -17308, -17312, -17318, -17326, -17336?
-t**2 - t - 17306
What is the t'th term of 2592, 2578, 2550, 2502, 2428, 2322, 2178?
-t**3 - t**2 - 4*t + 2598
What is the c'th term of -123, -256, -399, -558, -739, -948, -1191, -1474?
-c**3 + c**2 - 129*c + 6
What is the g'th term of -1797, -1801, -1805?
-4*g - 1793
What is the a'th term of 110, 101, 78, 35, -34, -135, -274, -457?
-a**3 - a**2 + a + 111
What is the d'th term of -238, -231, -220, -205?
2*d**2 + d - 241
What is the q'th term of 4219, 4218, 4227, 4252, 4299?
q**3 - q**2 - 5*q + 4224
What is the y'th ter
|
{
"pile_set_name": "DM Mathematics"
}
|
est value? (a) -0.1 (b) -1 (c) -0.2829 (d) 0.45 (e) -2/7 (f) 0.2 (g) -4
a
What is the third biggest value in -0.4, -0.3, 355625, 0.14, 0?
0
What is the seventh biggest value in -5, -59, 4.8, 0.2, 0, -2/3, -7?
-59
Which is the fifth smallest value? (a) 5 (b) -2/17 (c) 398 (d) -25.1 (e) -2/5 (f) -3
a
Which is the fourth biggest value? (a) 3/11 (b) -4320 (c) -20 (d) 4
b
Which is the third biggest value? (a) 5 (b) 2797787 (c) -0.5 (d) -3 (e) 0.3
e
What is the third biggest value in 1/4, 30873, 781?
1/4
What is the second biggest value in -137, -0.0525, 1/7, -1/4, 0.4?
1/7
Which is the fourth smallest value? (a) -0.039 (b) -16094 (c) -1 (d) -2/11 (e) 5
a
Which is the fifth smallest value? (a) 0.4 (b) 0.01 (c) -3 (d) -29 (e) 12 (f) 0
a
Which is the second biggest value? (a) -2/29 (b) 1743 (c) -2/5 (d) 1 (e) 0.3
d
What is the biggest value in 2, 4/5, 1387, -8?
1387
What is the third biggest value in 1/4, 4/11, -18712.58?
-18712.58
What is the fourth smallest value in 12, -137, -4, -3, 415, -3/2, -5?
-3
What is the smallest value in -0.036, -0.1, 10651?
-0.1
What is the third biggest value in 13449, -987, -5?
-987
Which is the fourth biggest value? (a) 0.1 (b) 1 (c) 2/227 (d) -9.71 (e) -3/5
e
Which is the second biggest value? (a) 5/7 (b) 0.07 (c) -2231 (d) 5 (e) -2/11
a
What is the smallest value in -12178, -271.36, 1/4?
-12178
What is the fourth smallest value in 4, 373/21, 0.3, 1/2, -1/3, 0.1, -3?
0.3
What is the second smallest value in 0, 5/8, -1/3, -15, 3/5?
-1/3
What is the fourth biggest value in -1/9, -271, -1, -0.4698, 2/11?
-1
What is the fourth smallest value in 5, -38, 0.5, 11.3396, 1, 3/5?
1
What is the fourth smallest value in 5, -2/5, 7/102, 0.3, 1.1, 2?
1.1
What is the fourth biggest value in 0.5, 1, -1, -2, 0, -160, 1/651?
0
Which is the third smallest value? (a) 13 (b) 120 (c) -14 (d) -1
a
Which is the second smallest value? (a) -2/11 (b) 0.2 (c) 3/707044
c
Which is the fourth smallest value? (a) 3 (b) -4/5 (c) -0.01 (d) -5 (e) 5/163 (f) 2/7
e
What is the fifth biggest value in 0.15, 1/3, 1, 2/15, -6/49, -5?
-6/49
Which is the fifth biggest value? (a) 1 (b) -19 (c) 0.77 (d) 2 (e) 0.051 (f) -0.3
f
Which is the fourth biggest value? (a) -1.42 (b) -0.03 (c) -2/7 (d) 0.5 (e) 123 (f) 0
b
What is the second smallest value in 6, -1, 2/19, -2, -3, 0.03, 0.83?
-2
What is the seventh biggest value in -4, -0.3, -0.1, 7, -2/11, 35, 0.4?
-4
What is the second biggest value in 3, -11.4, 2/3, 180/29, 6/7?
3
Which is the third biggest value? (a) 6/19 (b) -297 (c) -8
b
What is the fifth biggest value in 1/4, -153, -1, 0.1, -84?
-153
Which is the third smallest value? (a) 3/8 (b) -2.1 (c) 13180
c
What is the third biggest value in 5, 106/9, 2, 2/57, -181?
2
What is the third smallest value in -3.344, -0.01, 5, 9/7?
9/7
Which is the biggest value? (a) -0.241 (b) 36 (c) -1/6
b
Which is the sixth biggest value? (a) 3/5 (b) -0.2 (c) 0.5 (d) -2/211 (e) -0.4 (f) 65 (g) -4
e
What is the third biggest value in -17, -19, -7, 606, 4?
-7
Which is the third biggest value? (a) -4/3 (b) 5 (c) -717 (d) -5 (e) -3/4
a
What is the third biggest value in -54, 3, -1.3, 6, -0.3?
-0.3
Which is the fourth biggest value? (a) 5 (b) -17.61 (c) -0.1 (d) -92 (e) -5 (f) -1/3
e
What is the biggest value in -152, 1/3, -63.888?
1/3
Which is the third smallest value? (a) 0.2 (b) -0.051 (c) -7 (d) 1 (e) -1 (f) 29.9
b
Which is the third biggest value? (a) 5 (b) -2480/3103 (c) 2/13
b
Which is the fourth smallest value? (a) 1/9 (b) -5/2 (c) 3/4 (d) 2/21 (e) -0.95 (f) -5206
d
Which is the biggest value? (a) 2/7 (b) 14 (c) 512 (d) 3 (e) -0.083
c
Which is the fourth smallest value? (a) 0.07 (b) 201/4 (c) 0.08 (d) -0.132
b
What is the fifth smallest value in 1.12, 320, 0.5, 4, 0?
320
What is the third biggest value in -2, -15, 934/3, 0.1, -2/65?
-2/65
What is the fifth smallest value in 3, -0.0498, -0.5, -9, 3.1, -2/7?
3
Which is the biggest value? (a) -35/6 (b) -1054/19 (c) -5
c
Which is the second smallest value? (a) 0 (b) -1/2 (c) 9 (d) 0.9 (e) 1/8 (f) 123
a
Which is the third biggest value? (a) 1/9 (b) 9 (c) 6.518 (d) -80
a
Which is the third smallest value? (a) -14 (b) 31/10 (c) -13115
b
What is the fifth smallest value in 4, -2/5, -6, 3/5, -261, -2, -6/5?
-2/5
Which is the fifth smallest value? (a) -186 (b) -1715 (c) -0.1 (d) -3/17 (e) -2 (f) -0.4
d
What is the fourth biggest value in 126/5, -6, 4, 2/3, -57, -23?
-6
What is the fourth smallest value in 3, -0.14, 3/4, -4/13, -0.9, 0.11, 5?
0.11
Which is the fifth smallest value? (a) 0 (b) -1.9 (c) 62/21 (d) -0.03 (e) 3 (f) -32 (g) 0.2
g
What is the fourth biggest value in -0.5, -1/3, 1/3, 5, -1286?
-0.5
What is the third smallest value in -689/72, -0.43, -1, -8?
-1
What is the second smallest value in -0.2, -0.03, -36, -1775?
-36
Which is the biggest value? (a) 0.1 (b) -0.2 (c) -7 (d) -15 (e) -2 (f) 11/6 (g) 4
g
What is the second biggest value in -183, -42/61, 0.209, -3?
-42/61
Which is the fifth smallest value? (a) -4/11 (b) -5 (c) -3/16 (d) 0.4 (e) -0.1 (f) -4 (g) 650
e
What is the second smallest value in -2/5, -0.3, 3, -151, -7/37, 4?
-2/5
Which is the fourth smallest value? (a) 2447 (b) 9 (c) -0.1 (d) 1/4 (e) 13
e
What is the fifth smallest value in 3/7, 2/9, 2/15, -0.5, -14/9, 2, 4?
3/7
Which is the biggest value? (a) 3 (b) 2/9 (c) 4 (d) 1 (e) -0.11 (f) -6 (g) -1/4
c
Which is the fifth biggest value? (a) 1/4 (b) 158.5 (c) -5 (d) 162 (e) 9
c
What is the smallest value in 5241, -6434, -0.2?
-6434
Which is the third biggest value? (a) -0.1 (b) -2 (c) -1 (d) 3/7 (e) 3 (f) -3
a
Which is the fifth smallest value? (a) -2 (b) 5 (c) 3 (d) 2.975 (e) 3/5 (f) 1/4 (g) -0.134
d
What is the second biggest value in 4, -259, 2/11, 257181?
4
What is the smallest value in 0.2, 2, 1, -20398?
-20398
What is the second smallest value in -23937637, 2/23, 5?
2/23
Which is the fifth biggest value? (a) 1 (b) -5 (c) -3 (d) -1541433 (e) 5/9
d
What is the sixth smallest value in -3, -28, 0, -130, -4, -42/5?
0
Which is the seventh biggest value? (a) -2/17 (b) -2/7 (c) 6 (d) -91 (e) 4 (f) -0.36 (g) -3
d
Which is the seventh smallest value? (a) 5 (b) -2 (c) 39 (d) 0.04 (e) 2 (f) -6.8 (g) 4/9
c
Which is the third biggest value? (a) -4/21 (b) -1/6587 (c) -0.06 (d) 4/7
c
Which is the third smallest value? (a) 1/3 (b) 0.06164 (c) 1/10 (d) 2
a
Which is the second biggest value? (a) -17/5 (b) -11 (c) -2/13 (d) 0.2133
c
What is the fifth biggest value in -424/7, -3/4, 215, 0, 3, -0.4?
-3/4
What is the second smallest value in -35, 57, -464?
-35
What is the smallest value in -149280.8, 9, 4, -5, -1?
-149280.8
Which is the third smallest value? (a) 1 (b) 25103774 (c) 0
b
Which is the fourth smallest value? (a) -0.5 (b) -1726 (c) -2/7 (d) 2/13 (e) -1090
c
Which is the fifth biggest value? (a) -17 (b) 0.49 (c) -4 (d) -18.7 (e) -2/5 (f) 2
a
What is the fourth biggest value in 0.5, -1/3, -2/11, 177.51?
-1/3
What is the second biggest value in -4/15, 199.2, -0.4, 1537?
199.2
What is the fifth smallest value in 2/7, 4/5, 12/11, 33.19, -2?
33.19
Which is the biggest value? (a) -11/26 (b) -1/5 (c) -2/25 (d) 7/2
d
Which is the third smallest value? (a) 98 (b) 3866 (c) 0.3 (d) 4 (e) -0.03
d
What is the smallest value in 0, 0.5, -96/69277?
-96/69277
Which is the third biggest value? (a) 434 (b) -2 (c) 120272 (d) 3 (e) 1/5 (f) 1/10
d
Which is the sixth smallest value? (a) 3 (b) 0.1 (c) 158 (d) 0.018 (e) 0.5 (f) -2/35
c
What is the smallest value in -11/10, -5, -1, -10/7, 879?
-5
Which is the second biggest value? (a) -26294 (b) -2/189 (c) -7/6
c
What is the third biggest value in 61, -0.5193, -3/5, 2?
-0.5193
What is the fifth biggest value in -0.06, 378/11, 1127, 0.1, -0.4?
-0.4
Which is the third biggest value? (a) 767 (b) 4 (c) -630 (d) 3/37
d
What is the second biggest value in -17599, 0.02, -5?
-5
Which is the fourth smallest value? (a) 5 (b) 1/4 (c) -4 (d) -6/19 (e) 2/111 (f) 1 (g) 1/3
b
Which is the sixth smallest value? (a) -0.04 (b) 23 (c) -2/29 (d) 59 (e) 1/5 (f) -1/6 (g) 0.6
b
What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
assuming j is positive.
j**(-94/7)
Simplify t**11/t*t/(t/(t/(t*t*t*t**(-2/23))*t))*t*t*t**(-5/4)/t*t**(2/3) assuming t is positive.
t**(2623/276)
Simplify ((l/(l**17/l))/l)/l**(5/8)*(l**(-4))**(32/9) assuming l is positive.
l**(-2221/72)
Simplify j**21*j*j**(-6/11)*j*(j**7)**(-13) assuming j is positive.
j**(-754/11)
Simplify i*i/(i/(i/(i*i**21)))*i**1/i*i*(i**(-9)*i)**38 assuming i is positive.
i**(-323)
Simplify (i**(-2)*i*i*i**5*(i*i/((i**(-2/19)/i)/i)*i*i)/i*i*i**(-6))**(6/5) assuming i is positive.
i**(582/95)
Simplify (b/(b*b*b*b/(b/((b*b*b**6)/b))))/b*b**(3/8)*(b**(-4/5))**(-1/61) assuming b is positive.
b**(-23453/2440)
Simplify (a**(2/11)/a)**(-15/11)*((a*a*a*a/(a/a**11)*a)/a)/(a/a**(2/11)) assuming a is positive.
a**(1730/121)
Simplify (x*x**(-5/6)*x/(x/(x/x**(-2/13)))*x)/(x/(x/(x/(x*x*x/x**(-16))))*x**(-1/4)*x) assuming x is positive.
x**(3053/156)
Simplify (n**2)**12/((n*n**6*n)/n*n**(2/13)) assuming n is positive.
n**(219/13)
Simplify ((t*t**(1/4))**(-39)/(t**(-2/9))**(-15/2))**(-20) assuming t is positive.
t**(3025/3)
Simplify w**(3/13)*w**(-1)*((w/((w/w**(2/39))/w))/w)/w*w**(-2/7) assuming w is positive.
w**(-547/273)
Simplify (l*(l*(l*l*l**(-30))/l*l)/l*l*(l*l*l/((l/l**(1/41))/l))/l)/(((l**23/l)/l*l*l)/l**(-26/9)) assuming l is positive.
l**(-18400/369)
Simplify (v**13*v*(v*v*v**(-13)*v)/v*v)/(v**(1/6)/(v**(-2/15)/v)) assuming v is positive.
v**(27/10)
Simplify ((g/(g**(3/5)/g))/g*g*g/(g**(-30)*g*g))/(g**10)**(-35) assuming g is positive.
g**(1902/5)
Simplify (y/y**(-7/4))**36/(y**4/((y**(-34)*y)/y)) assuming y is positive.
y**61
Simplify v**7*v*v**(-12)*(v/(v/v**(3/4)))/v*v/(v**(10/3)*v) assuming v is positive.
v**(-91/12)
Simplify (a**(-3)*a**7)/(a**(-9)*a/(a**13*a)) assuming a is positive.
a**26
Simplify ((v/((v/v**(2/29))/v)*v*v/v**(-1/15)*v)**(13/7))**(9/4) assuming v is positive.
v**(10023/580)
Simplify ((z/(z/z**(-1/4)*z))/((z/(z**(8/9)*z))/z))/((z/(z/(z**(-2)/z)))/(z**(-1/3)*z)) assuming z is positive.
z**(155/36)
Simplify (z/(z**8/z))**25*(z/((z/(z*z/((z**5/z)/z)))/z))**(-7) assuming z is positive.
z**(-150)
Simplify (n/((n**(1/3)/n)/n))**(2/9)/(n/n**(-2/5))**0 assuming n is positive.
n**(16/27)
Simplify ((j**2)**15*(j/(j*j**(-2/7)))**(-5/3))**(-1/7) assuming j is positive.
j**(-620/147)
Simplify (g**18*g**18)**32 assuming g is positive.
g**1152
Simplify ((l/l**1)**3*l**3*l**(-1/3)/l)**(-24) assuming l is positive.
l**(-40)
Simplify (m/m**(-3/7)*m/(m/m**(2/13)*m*m))/(m**4/(m*m**(-8))) assuming m is positive.
m**(-1039/91)
Simplify ((q*(q**(-1)*q)/q*q)**40/((q*q**(-1))/q**(-4/7)))**16 assuming q is positive.
q**(4416/7)
Simplify (a**5*a*a*a**(1/8)*a)/((a/(a/a**(10/3)))/(a/a**2)) assuming a is positive.
a**(91/24)
Simplify (u**(-3)/u)**41*(u*u/u**6*u*u)/(u*u**(3/8)*u*u) assuming u is positive.
u**(-1355/8)
Simplify ((p**1*p)/(p/(p*p**(3/14))*p))/(p**(-3/19))**(-49) assuming p is positive.
p**(-1735/266)
Simplify (t*t**2)**19/(t**(1/3)/t)**1 assuming t is positive.
t**(173/3)
Simplify ((d/(d/((d/(d*d**(2/7)))/d)*d*d))/d**(-4/9))/(d**(-1/4)*d)**(26/7) assuming d is positive.
d**(-709/126)
Simplify ((v**(-2)/v)**(-2/109)/(((v/(v**(-5)*v))/v*v)/(v**(3/4)/v)))**(-1/23) assuming v is positive.
v**(2265/10028)
Simplify (q**(-1))**26*(q*q**(-1/5))**(-18) assuming q is positive.
q**(-202/5)
Simplify (w**(-1/15)*(w/w**(-23))/w*w*w)/((w/(w/w**(-6/5)*w))/(w*w/w**17*w)) assuming w is positive.
w**(197/15)
Simplify (z*z/(z/(z/(z*(z/(z/(z/(z/z**(-20))*z)))/z))))**(-48)*(z/z**(23/5))/(z*z**(-23)) assuming z is positive.
z**(-4948/5)
Simplify ((p**(-5)/p**(2/9))/(((p**(1/2)/p*p)/p*p)/p**(-4)))**40 assuming p is positive.
p**(-3500/9)
Simplify (((a/(a**(-2/3)/a))**(-42/5))**10)**(-7/4) assuming a is positive.
a**392
Simplify ((t**(-6))**(3/5))**(-19) assuming t is positive.
t**(342/5)
Simplify (m*m*m/(m*m**7))**(-34/5)*m**(-18)/(m*m**4) assuming m is positive.
m**11
Simplify k**(11/5)*k*((k/k**23)/k*k)/k*(k*k/k**20)**(-12) assuming k is positive.
k**(981/5)
Simplify (y/(y/(y/((y*y**(16/5))/y)))*y**14/y*y)/(y**(3/13)*y**3) assuming y is positive.
y**(557/65)
Simplify ((x**(2/11)*x*x*x/(x/(x/((x/(x/(x*x**(-2)*x))*x*x)/x*x))))**(-12))**(2/29) assuming x is positive.
x**(-312/319)
Simplify (t/(t/t**11))**(1/32)*(t/(t*t**(-9/4)*t))/(t**(-21)*t) assuming t is positive.
t**(691/32)
Simplify (((i/i**(1/2))/(i*i**(5/4)))/(i*i**(-3)*i**(2/9)))**(-3/28) assuming i is positive.
i**(-1/336)
Simplify d*d**7*d*d**(-21)*(d**(-1/2))**(18/11) assuming d is positive.
d**(-141/11)
Simplify ((((v/(v/((v/v**(-23))/v)))/v)**(-1/6))**4)**7 assuming v is positive.
v**(-308/3)
Simplify (x*x/(((x/(x/(x/x**(-3/16))))/x)/x*x)*x*x*x**(-7/6)*x)/(x**9/x**(-10)) assuming x is positive.
x**(-737/48)
Simplify ((g**15/g)/g**(1/4))/(g/(g*g**0/g)*g**(5/8)) assuming g is positive.
g**(97/8)
Simplify (x**(-6/11)*x)**(-28)/(x**(6/17)*x*x**(2/11)) assuming x is positive.
x**(-2667/187)
Simplify j**(-3/5)*j**(2/17)*(j/(j*j/j**(-11))*j)/(j*j**(1/19)) assuming j is positive.
j**(-20244/1615)
Simplify n**(-10/3)*n**(-22)*(n/(((n/(n/(n**(-2)/n)))/n)/n))**(1/26) assuming n is positive.
n**(-979/39)
Simplify (z**(-17)*z*z/(z**(-8)*z)*z)/((z/(z*z/(((z*z*z**7)/z)/z)))/z)**(1/7) assuming z is positive.
z**(-54/7)
Simplify ((p/(p/(p**0/p)*p))**(-6)/(p/p**0)**(21/5))**(2/39) assuming p is positive.
p**(2/5)
Simplify q**(4/3)/(q*q*q**(-1/5)*q)*q**(-5)*(q/(q/(q*q**5)))/q assuming q is positive.
q**(-22/15)
Simplify ((k/(k**42/k))/(k/((k*k/(k**(2/65)*k*k))/k)))**(7/5) assuming k is positive.
k**(-19124/325)
Simplify ((q**1/q)/q*q)/(q*q**(1/14))*(q*q*q**(-7))/q**(-5/6) assuming q is positive.
q**(-110/21)
Simplify (a/(a/(a/a**32)*a))/a*(a/a**(-28)*a)/a*a**(2/7)/(a*(a**27*a)/a) assuming a is positive.
a**(-222/7)
Simplify (q/(q*q*q**1)*q)**(-11)/(q*q**(1/5)*q)**(-48) assuming q is positive.
q**(583/5)
Simplify o**(-2/25)/(o/(o*o/((o*o**(6/17)/o)/o)))*o/o**13*(o/(o*(o/o**(6/11))/o*o))/o*o*o assuming o is positive.
o**(-46224/4675)
Simplify (((j/j**(-2))**(-7))**(-14))**(2/63) assuming j is positive.
j**(28/3)
Simplify ((u/u**(-2/13))/u)**18*(u**(-1/7)*u*u)/(u*u**(-2/17)*u*u) assuming u is positive.
u**(2698/1547)
Simplify (((k/k**(3/5))/k)**(-25)/(k/k**(3/4))**(-1/26))**4 assuming k is positive.
k**(1561/26)
Simplify (z*z**(-13))**(12/5)*(z**13*z)**(7/11) assuming z is positive.
z**(-1094/55)
Simplify (k**(3/2)/((k**(-36)*k)/k))**(32/5) assuming k is positive.
k**240
Simplify ((d/(d**(-8)/d)*d)/(d**(6/17)*d))/(d/(d/d**(-24))*d**(-15)/d) assuming d is positive.
d**(844/17)
Simplify (((q/(q*q**(-4)))/q**(-2/9))**47)**43 assuming q is positive.
q**(76798/9)
Simplify (x/((x/x**0)/x))**(2/29)*x**(-1/4)*x**(-21)*x assuming x is positive.
x**(-2341/116)
Simplify ((o*o**(-2/3))/o**(1/9)*(o**1/o)**(-1/40))**(-1/5) assuming o is positive.
o**(-2/45)
Simplify ((d**(1/9)*d)/d)**(2/71)*(d**(1/18)/d)**(-8) assuming d is positive.
d**(1610/213)
Simplify (h**19)**(1/12)/(h/(h*h**(2/51)))**(-26) assuming h is positive.
h**(115/204)
Simplify ((g/(g*((g**(2/3)*g)/g)/g))/g*g**19)**(7/4) assuming g is positive.
g**(385/12)
Simplify n**(-3/8)/n*n/n**22*n**(-5)/n**(2/15) assuming n is positive.
n**(-3301/120)
Simplify ((z/((z/z**33)/z))/z**(-8/11))/(z*z**0)**(-44) assuming z is positive.
z**(866/11)
Simplify (n*n/(n*n**(-4)/n)*n)/(n**(2/23)/n)*n**(9/7)/(n*n/n**(3/5)*n) assuming n is positive.
n**(5473/805)
Simplify (((l*l**(1/9))/l)/(l*l*l*l/l**(-13)*l))**(-24) assuming l is positive.
l**(1288/3)
Simplify (c*c**(-13))/c**(-2/3)*c**9/c**(-16) assuming c is positive.
c**(41/3)
Simplify (h/h**26)/h**18*(h**(4/7))**(-28) assuming h is positive.
h**(-59)
Simplify x**(-2/7)/(x/x**(-1/6))*((x**(-9)/x)/x)/(x**3/x) assuming x is positive.
x**(-607/42)
Simplify (q**2)**15*(q**(-7)/q)/(((q*q/q**(-1)*q)/q)/q) assuming q is positive.
q**20
Simplify (n/n**(2/11))/n**9*n**(-4)*(n*n**(-25)*n*n*n*n)/n*n assuming n is positive.
n**(-354/11)
Simplify o**17/o**(19/4)*(o*o**(-2))/(o/o**16) assuming o is positive.
o**(105/4)
Simplify (u**(-35)*u/(u*u/(u**(-35)/u)))/(u**(2/5)/((u/u**(-3/19))/u*u)) assuming u is positive.
u**(-6768/95)
Simplify ((o**(3/20)*o*o**(-12))**50)**43 assuming o is positive.
o**(-46655/2)
Simplify (((z/((z**(2/7)*z)/z))/(z/z**(-1/4)))/((z**1*z)/(z**(1/2)*z*z)))**36 assuming z is positive.
z**(-9/7)
Simplify (p**
|
{
"pile_set_name": "DM Mathematics"
}
|
(s) wrt s?
7
Let o(z) be the first derivative of 0*z - 5 - 4/3*z**3 + 4*z**2. What is the second derivative of o(s) wrt s?
-8
Let s(u) = -150*u**2 - 30*u - 21. Let m(k) = 15*k**2 + 3*k + 2. Let o(b) = -21*m(b) - 2*s(b). Find the second derivative of o(y) wrt y.
-30
Let u = 11 + -5. Find the third derivative of -132*t + 132*t - u*t**4 + t**2 wrt t.
-144*t
Suppose 0 = -z + 3. Suppose s = -c + 4*c - 10, 5*c - z*s - 22 = 0. What is the derivative of 4 + g**3 - c - 2*g**3 wrt g?
-3*g**2
Let g(v) = -3*v**4 - 5*v**3 + 5*v**2 - 5*v - 5. Let c(f) = f**4 + f**3 - f**2 + 1. Let u(p) = -5*c(p) - g(p). What is the second derivative of u(r) wrt r?
-24*r**2
Let w(u) = -9*u**5 + 2*u**2 - 8*u. Let g(v) = -19*v**5 + 5*v**2 - 16*v. Let f(r) = 2*g(r) - 5*w(r). What is the second derivative of f(s) wrt s?
140*s**3
Let h(l) = -10*l**3 - 5*l**2 - 5*l - 5. Let a(t) = -9*t**3 - 4*t**2 - 6*t - 6. Let c(i) = 5*a(i) - 6*h(i). Find the third derivative of c(s) wrt s.
90
Let c be (0 - 0) + 5 + -3. Suppose 2*t + x = 10, -10 = -c*t + x - 5*x. What is the second derivative of -m**5 + 3*m**5 - 3*m + 0*m**t wrt m?
40*m**3
Let h(n) = -8*n**2 - n**2 + 2*n**2 + 2*n**3 - n**3 + 8. Let l be h(7). Differentiate -l*q + 4*q**3 - 1 + 8*q wrt q.
12*q**2
Differentiate -6*f**3 - 68*f**2 + 68*f**2 + 3 wrt f.
-18*f**2
Suppose -h + 1 = -1. Find the second derivative of -4*x**2 + 10*x**5 - 15*x**5 + 2*x + 4*x**h wrt x.
-100*x**3
Let f(p) be the third derivative of 0*p**6 + 0*p + 0*p**5 + 0 + 0*p**3 + 1/24*p**4 + p**2 + 1/210*p**7. Find the second derivative of f(i) wrt i.
12*i**2
Let c(w) = w**3 - 4*w**2 - w + 5. Let i be c(4). Differentiate 2*y**3 + i + 4*y**3 + 0*y**3 + 3 with respect to y.
18*y**2
Let z(f) be the second derivative of f**6/30 + 5*f**4/6 - 3*f. What is the third derivative of z(m) wrt m?
24*m
Let y(v) = 3*v**4 + 6*v**3 - 6*v**2 + 6*v - 12. Let c(x) = -x**4 - x**3 + x**2 - x + 1. Let w(a) = -6*c(a) - y(a). Differentiate w(o) with respect to o.
12*o**3
Let i(b) = 2*b**2 - 12*b + 5. Let n(p) = -3*p**2 + 18*p - 8. Let a(t) = 8*i(t) + 5*n(t). Find the second derivative of a(d) wrt d.
2
Let d(v) be the first derivative of -19*v**5/5 + 19*v**2/2 + 17. Find the second derivative of d(y) wrt y.
-228*y**2
Let q = -3 + 3. Suppose q = -z + 3. Find the third derivative of -i**z + 2*i**2 - i**3 - 3*i**2 wrt i.
-12
Let z(d) be the third derivative of -1/210*d**7 + 0*d**6 + 0*d**4 + 0*d + 0 + 0*d**5 - 6*d**2 + 2/3*d**3. Differentiate z(m) wrt m.
-4*m**3
Find the third derivative of 3*a**2 - 45*a**2 - 3*a**3 - a**4 + 3*a**4 - 4*a**3 wrt a.
48*a - 42
Let x(i) = -i**3 + 3*i**2 + 5*i - 2. Let j be x(4). What is the third derivative of 3*t**j + t**2 - 3*t**2 + 2*t**4 wrt t?
48*t
What is the second derivative of -25*u + 11*u**4 + 0*u**4 + 8*u**4 - u**4 wrt u?
216*u**2
Let s(l) be the second derivative of -1/12*l**4 + 2*l + 1/20*l**5 + 0*l**3 + 0*l**2 + 0. What is the third derivative of s(v) wrt v?
6
What is the second derivative of 4 - 4 - 7*w - 6*w**4 + w**4 wrt w?
-60*w**2
Let q(w) = -w**2 - 5*w - 1. Let h(c) = -c**2 - c. Let o(l) = -5*h(l) + q(l). Find the first derivative of o(y) wrt y.
8*y
Suppose 2 = -d, 2*x - 4*d = -5*d + 4. What is the second derivative of -x*k**2 - 3*k**2 - k**2 + 2*k + 5*k**2 wrt k?
-4
Let o(i) be the third derivative of 5*i**4/24 - 7*i**3/6 + 4*i**2. Find the first derivative of o(g) wrt g.
5
Let m(s) = s + 10. Let p be m(-5). Let l(v) = -v**3 + 3*v**2 + 6*v - 3. Let g be l(4). Find the second derivative of -3*h**p - h**g + 2*h**5 + 2*h wrt h.
-40*h**3
Let s(q) = -q**2 - 4*q + 6. Suppose 0 = 5*v + 2 - 27. Let c(p) = -p**2 - 5*p + 7. Let f(a) = v*s(a) - 4*c(a). What is the derivative of f(o) wrt o?
-2*o
Find the second derivative of 3*t + 4*t + t - 4*t**4 + 0*t**4 wrt t.
-48*t**2
Let j(p) be the first derivative of 0*p**2 - 4 - 1/3*p**3 - 3*p. What is the first derivative of j(a) wrt a?
-2*a
Let b(u) = -6*u**3 + 2*u**2 - 1. Let y(d) = d**3 - d**2 - 1. Let p = -6 + 7. Let f(j) = p*b(j) + 2*y(j). What is the derivative of f(v) wrt v?
-12*v**2
What is the second derivative of -2*p + 14 + 12 - 26 + 18*p**2 wrt p?
36
Suppose -2*h + 3 = -3. Suppose 2*l = -3*l + 15. What is the second derivative of n**3 - n - n**h - n**l wrt n?
-6*n
Let s = 21 - 4. What is the third derivative of 2*b**2 + 10*b**3 + 3*b**6 - s*b**3 + 7*b**3 wrt b?
360*b**3
Let b(j) be the second derivative of 1/6*j**3 + 0*j**2 - 9*j + 1/4*j**4 + 0. Find the second derivative of b(z) wrt z.
6
Let k(o) = -o**3 + 7*o**2 - 7*o + 8. Let h be k(6). What is the second derivative of -4*s**2 + 2*s + 4*s**2 + 0*s - h*s**5 wrt s?
-40*s**3
Let g(c) = 32*c**2 - 4*c + 7. Let q(i) = 30*i**2 - 4*i + 8. Let n(v) = 7*g(v) - 6*q(v). Find the second derivative of n(r) wrt r.
88
What is the derivative of 0*d**4 - 2 - 2*d**4 - 6*d**4 - 2 wrt d?
-32*d**3
Let a(k) = -14*k**2 + 3*k - 36. Let p(m) = 13*m**2 - 4*m + 36. Let y(d) = -4*a(d) - 3*p(d). What is the derivative of y(z) wrt z?
34*z
Suppose -3*m - f + 1 = 0, -5*m + 2*f + 14 = 5. Let s = 4 - m. Differentiate 4*i**3 + 6*i**s - 5*i**3 - 2*i**3 + 2 with respect to i.
9*i**2
Let s = 5 + 0. Let k = s - 5. Find the first derivative of -3*w + k*w + w + 5*w - 3 wrt w.
3
Let r(m) = -6*m - 2. Let g be r(-2). What is the second derivative of -g*s - s + s**3 + 4*s wrt s?
6*s
Suppose 3*i - 41 = -5*n - 15, i + 4*n = 18. Find the third derivative of -5*u**4 - u**i + 0*u**2 - u**2 wrt u.
-120*u
Differentiate -3*b**4 + 5*b**4 - b**2 + 0 + 47 + 18*b**2 with respect to b.
8*b**3 + 34*b
What is the third derivative of 0*b**5 - 17*b**2 - 9*b**2 - 2*b**5 wrt b?
-120*b**2
Differentiate 5 - 4*d**2 - d**2 - 5*d**2 - 4*d**2 with respect to d.
-28*d
Let t(k) be the second derivative of k**7/105 + k**4/12 - k**2 - k. Let q(w) be the first derivative of t(w). Find the second derivative of q(p) wrt p.
24*p**2
Let u(w) be the first derivative of -8*w**3/3 + 13*w**2 - 32. What is the second derivative of u(o) wrt o?
-16
Suppose -3*s + 10 = -0*s - 5*r, 5*s = -r + 26. What is the second derivative of s*d**5 + 8*d + 0*d**5 - 3*d**5 wrt d?
40*d**3
Let r(b) = -2*b - 12. Let d(x) = 2*x + 13. Let f(c) = -3*d(c) - 2*r(c). Differentiate f(l) wrt l.
-2
Let a(b) be the third derivative of -b**7/210 - b**6/90 + b**3/2 - 2*b**2. Let n(o) be the first derivative of a(o). Find the third derivative of n(z) wrt z.
-24
Let u(t) be the second derivative of t**7/840 + t**6/180 + t**4/6 + 4*t. Let v(w) be the third derivative of u(w). Find the second derivative of v(c) wrt c.
6
What is the first derivative of 6*l + 7*l - 13*l + 31 + 20*l**4 wrt l?
80*l**3
What is the second derivative of 41*t**5 - 87*t + 210*t - 90*t wrt t?
820*t**3
Let t(w) be the second derivative of 12*w**5/5 - 7*w**3/6 - 21*w. Find the second derivative of t(m) wrt m.
288*m
Differentiate 0*g - 6*g + g + 3 with respect to g.
-5
Let f(h) be the second derivative of h**3/3 + h**2/2 + 2*h. Let r be f(1). What is the second derivative of 3*s + s**3 + r - 3 wrt s?
6*s
What is the third derivative of m**3 + 35*m**3 - 125*m**2 + 171*m**2 wrt m?
216
Let t(m) be the second derivative of -m**6/180 - m**5/60 - m**3/2 - 2*m. Let u(o) be the second derivative of t(o). Find the second derivative of u(v) wrt v.
-4
Let c(r) be the third derivative of 7*r**6/120 - 13*r**5/60 - 3*r**2. What is the third derivative of c(b) wrt b?
42
Let n(u) = -35*u**3 - 11*u**2 + 41*u. Let i(o) = 18*o**3 + 6*o**2 - 21*o. Let b(j) = 11*i(j) + 6*n(j). What is the second derivative of b(y) wrt y?
-72*y
Let j(u) be the third derivative of -u**7/2520 + u**6/360 - u**5/20 - 3*u**2. Let t(h) be the third derivative of j(h). What is the derivative of t(k) wrt k?
-2
Let m(c) = -10*c**2 + 2. Let u(w) = -w**2. Let g = 20 - 12. Let f = -9 + 8. Let s(v) = f*m(v) + g*u(v). Differentiate s(x) wrt x.
4*x
Let b(q) be the first derivative of 7*q**5/5 - 8*q + 3. Differentiate b(p) with respect to p.
28*p**3
Let u = 6 + -5. What is the second derivative of u + n + n**3 - 1 + 0 wrt n?
6*n
Let i(f) be the second derivative of -f**6/60 - f**4/6 - 2*f**2 + f. Let r(p) be the first derivative of i(p). Find the second derivative of r(d) wrt d.
-12*d
Let j(b) be the third derivative of -3*b**7/35 + 9*b**5/20 - 22*b**2. What is the third derivative of j(z) wrt z?
-432*z
Let u(v) = -2*v - 4*v + 9 + 15*v**3 + 0 - 2. Let f
|
{
"pile_set_name": "DM Mathematics"
}
|
0.5 - i. Let j = 0.23 + 0.17. Which is the closest to -0.1? (a) j (b) 5 (c) w
a
Let x = 1 + -3. Let s = -6.07 - -8.07. Which is the nearest to s? (a) -1/5 (b) x (c) -4
a
Let q = -3.3 - -0.3. Let j = -0.021 - -0.038. Let l = j + -0.217. Which is the nearest to l? (a) q (b) 3 (c) 1
c
Let k = -1.09 - -1.19. Let s = -0.05 + -3.95. Which is the closest to s? (a) k (b) -1/5 (c) 1
b
Let l = 1510 - 1512. What is the nearest to l in -8, 1/5, 0.06, -0.3?
-0.3
Let i be (-1)/(-29)*-5*(-2)/(-30). Which is the nearest to i? (a) 1/5 (b) 2 (c) -1
a
Let a(y) = -y**2 - y. Let h be a(0). Let j be ((-34)/(-51))/(40/(-6)). What is the nearest to h in -2, j, -0.5?
j
Let m = -1.5 - -1.49. Let z = -0.09 + m. Which is the nearest to -1/2? (a) 1 (b) z (c) 2/9
b
Let w = -1/58 - -15/29. What is the closest to -0.1 in -4/5, 3, 0, w?
0
Let f be (0 - 3/(-27))/(11/(-66)). Which is the closest to 1? (a) -3/4 (b) -1/5 (c) f (d) 0.11
d
Let y = -104 - -102. Let s(z) = -z**2 - 2*z + 1. Let u be s(0). Which is the closest to y? (a) -2/19 (b) 0.5 (c) u
a
Suppose 33*c - 43*c - 50 = 0. What is the closest to 4 in c, -0.4, -3?
-0.4
Let b be -2*(2 + -1)*(-93)/(-806). What is the nearest to 2/7 in b, -2, 4/9?
4/9
Let t be ((-6)/(-10))/(18 + 4304/(-240)). What is the nearest to t in 5, -4, 0, -1/2?
5
Let y = -6 + -28.1. Let f = y - -34. Which is the closest to f? (a) -1 (b) 4 (c) -3/2
a
Let r = -7.87 + 8.17. Let o = 754 + -759.01. Let p = -0.01 - o. Which is the closest to r? (a) p (b) 1/5 (c) 1/2
b
Let l be 3/9 - (-4)/(-72). Let v = 2/9 + l. Let c = 27 - 28. What is the closest to c in -2, v, -2/7?
-2/7
Let k(y) = 2*y**2 + 55*y + 78. Let g be k(-26). What is the closest to g in -1, 37, 0.2?
0.2
Let h = -291.5 - -291. Which is the nearest to -0.3? (a) h (b) -3/7 (c) -5
b
Let s = 18717/19 + -985. What is the nearest to 1/4 in 0, -8, s?
s
Let d = -1.01 + 1.21. Let k = -458/5 - -91. Let l be ((-1)/(-3))/((-4)/3). What is the nearest to d in k, -0.4, l?
l
Let m(h) = h**3 - 10*h**2. Let i be m(10). Let p = 14 - 13.9. What is the nearest to 1 in p, 0.3, i?
0.3
Let n = -0.4019 - -0.4019. Let h be (3/27)/(1/2). Which is the closest to n? (a) h (b) 0.1 (c) -1/3
b
Let s = -1990.27 + 1977. Let d = 0.27 + s. Let k = d - -11. What is the closest to 1 in 0.4, -0.5, k?
0.4
Let t = -1080/5819 + 2/529. Let s = -13.6 + 9.6. What is the closest to 1 in t, s, -0.4?
t
Let r = 133 - 161.1. Let x = 28 + r. What is the closest to x in 1, -0.1, -3?
-0.1
Let y = -89/3 - -30. Let u(g) = -g + 3. Let h be u(0). Suppose 4*r = 19 - h. Which is the nearest to y? (a) 1/3 (b) 3 (c) r
a
Let r = 1741 + -1737. Let f = -1.1 + 1. Which is the closest to -4? (a) f (b) 7 (c) r
a
Let y = -508.96 + 485. Let j = y + 24. What is the nearest to j in 5/3, -3, 0.4?
0.4
Let t = -22 - -25. Suppose 2*c - 3*c - 3 = 0. What is the closest to 2 in 4, c, t?
t
Let m be -5 + 9 + 344/(-84). Which is the closest to 2/7? (a) -0.2 (b) m (c) -3/8
b
Let o(f) = f**3 + 5*f**2. Let q be o(-5). Suppose 6*v - 2*v - 4 = q. What is the closest to v in 0.2, 5/6, -4?
5/6
Let q = 0.6 - 0.1. Let m = 2697 - 2695. Which is the closest to 2? (a) -0.2 (b) m (c) q
b
Let r = -238.3 + 238. Let q(z) = -z**3 - 7*z**2 - z - 7. Let a be q(-7). Suppose -k = -2 - a. What is the nearest to r in 1, -3/5, k?
-3/5
Let s be ((-9)/(-2))/3 + -1. Let y = 2 + -75. Let o = y - -221/3. Which is the nearest to s? (a) 5 (b) 13/4 (c) o
c
Suppose 3 = 5*s - 17. Suppose -4*q - 4*w = -20, 0 = 6*w - s*w - 6. Which is the nearest to 0? (a) q (b) -1/5 (c) 1
b
Let j(m) = -2*m**2 + m + 4. Let v be j(-4). Suppose -4*b + 1 = -3*b. Let l be v/(-12) - (1 + b). What is the nearest to l in 2/5, 0.5, 2?
0.5
Let w be 8/(-28) + 0/(2 + 0). Let m = -47 - -47.2. Which is the closest to w? (a) -0.02 (b) 3 (c) m
a
Let s = -3556.993 + 3560. Let w = s - 0.007. What is the nearest to w in 3, 2, 1/4?
3
Suppose -l + 118 = 123. Suppose 0 = -4*s - k - 27, -2*s - 35 = 3*s + k. Let p = l - s. Which is the closest to 2/3? (a) 0 (b) 1/6 (c) p
b
Let j = 1.1 + -2.1. Let c = -2.2 + 2.1. What is the nearest to c in j, 4, 0?
0
Let f = 17 + -16.958. Let d = f + -1.342. Which is the closest to 0.1? (a) -2/5 (b) -1 (c) d
a
Let j be ((-30)/165)/(16/(-44)*1). Which is the nearest to -2/9? (a) -0.2 (b) 2 (c) -6/7 (d) j
a
Let i = 360 + -358. Let p = 0.4 - -1.6. Which is the nearest to p? (a) -0.1 (b) 4 (c) i
c
Let p = 1372 + -1368. Which is the nearest to -9? (a) 0 (b) p (c) -5
c
Let r = 0.054 + -0.027. Let x = r + 0.173. What is the closest to 0.1 in x, 1, 2?
x
Let y = 8 - 5. Let t = 3 - y. Let a = -965.5 + 965. What is the nearest to t in a, 3/4, 0.4?
0.4
Let m = -4.97 + 5.2. Let q = 0.53 - m. Let f be (-2)/(-5)*(-2)/(-4). Which is the nearest to 2? (a) q (b) -0.3 (c) f
a
Suppose 0*w - 80 = -2*w. Let a be 1/(-8) + 15/w. What is the closest to a in 1/4, 1, -1?
1/4
Suppose -2 - 2 = -x, -4*z = 3*x - 28. Let y = 193 + -193.2. What is the nearest to -2 in z, 1, y?
y
Let o = -8 - -3. What is the nearest to 0.1 in o, -3, 0?
0
Let p(l) = l**3 + 7*l**2 + 26*l + 127. Let f be p(-8). Which is the nearest to 0? (a) f (b) 5 (c) 3
c
Let l be (2/8)/((-3)/(-36)). Suppose m + 4*y + 12 = -l*m, 5*m - y = 3. Let x = -8 + 55/7. Which is the closest to m? (a) 2 (b) x (c) -0.2
b
Let j = -0.2 - -1.2. Let b = j + -1. Let o = 4560 - 4559.8. What is the closest to o in b, -2/3, 5?
b
Let p = 5.7 + -6. Let n = 1.53 - 10.23. Let i = -14.7 - n. What is the closest to 2 in -0.1, p, i?
-0.1
Let j = -7 - -6.7. Let r(k) = -3*k - 17. Let i be r(-7). Suppose 4*d - 17 = -5*x, -5*d = -3*x - 16 + i. Which is the nearest to 0? (a) 0.5 (b) j (c) x
b
Let c(k) = -2*k - 56. Let s be c(-30). What is the nearest to -1/3 in 2, s, 0.9, 2/11?
2/11
Let w be (1/(-6))/(45/(-30)). Let f = -307 + 309. What is the nearest to 0 in 0.5, w, f?
w
Let i = -6.77 + 7.07. What is the closest to 1/3 in 2/5, i, -57, -3/2?
i
Let h = -0.08 - -0.38. Let y = 0.45 - 0.05. Let s = -61 - -59. What is the nearest to 0 in y, s, h?
h
Let w = -1.47 - -1.4. Let z = -849.93 - -846. Let m = w + z. What is the nearest to 0.1 in m, 3, -5?
3
Let g be (-1 - -1) + (-2)/1. Let a = 33 - 35. Let k be a*4/(-28) + 0. What is the nearest to k in 0.1, g, 3/2?
0.1
Let w be -2 + (-46)/(-16) - (-15)/(-30). What is the nearest to -0.12 in -0.1, w, 3?
-0.1
Let i be ((1 - 0) + 1/3)*3. Suppose -3*b = -p - 6, 2*p - b + i = b. Let v = -1 + 1. What is the closest to p in v, 0.3, 1?
v
Suppose -17 = -5*y + 3. Suppose -o = o + y. Let s(z) = 5*z - 10. Let r be s(3). Which is the nearest to 0.02? (a) r (b) o (c) 0.1
c
Let i be 20/(-12) - (-2)/3. Let u = -7.2 + 7. Let p = -0.1 + u. Which is the closest to i? (a) 3 (b) p (c) 1
b
Let m = 0.6 + -0.1. Let l = 3.3 + -3.13. Let q = 0.03 + l. What is the nearest to 0.9 in m, q, 0?
m
Let h = -62/27 - -1108/459. What is the nearest to 0 in 1/5, h, 6?
h
Let t(k) = 4*k**3 + k**2 + 2*k + 1. Suppose -2*r + r - 1 = 0. Let q be t(r). What is the nearest to 0.2 in -1/7, 1, q?
-1/7
Suppose 3*o = 3*y - 8 + 2, -5*y = -2*o + 8. Which is the closest to 1/8? (a) 3/4 (b) o (c) 2/5
c
Let q be (-3 + 5)*1/8. Let j = -4905 - -44147/9. What is the nearest to q in 2, j, -7?
j
Let v = -17 + 17.1. Which is the closest to 0.1? (a) 0.4 (b) -18 (c) v
c
Let k = 20.7 + -25. Let l = -3.9 - k. Which is the nearest to 1/2? (a) -2/15 (b) 3/2 (c) l
c
Let v be 5704/(-1428) + 4/1. Let s = v - 12/119. Which is the nearest to -2? (a) 4 (b) s (c) 1/5
b
Let z be 0 - 1 - -3 - 28/20. Let y = 772/7 - 110. Which is the closest to z? (a) -2 (b) y (c) -1/4
b
Suppose 0 = 3*c + 4*l + 11, -l - 7 = -c + 3*l. Let k = -26 - -77/3. What is the closest to k in -0.2, 1/8, c?
-0.2
Let s be 7/(-21)*(-9)/(-15). Which is the closest to 1? (a) s (b) -2 (c) -1
a
Let a = 6 - 7. Let z = -2653 + 2656. What is the nearest to a in z, 0, -3?
0
Let k be (4/10)/((-7)/(-5)). Let m be (-5)/15*(-2265)/(-5). Let j = m + 1357/9. Which is the nearest to 0? (a) k (b) j (c) 0
c
Let h = -1.07 + 0.07. What is the closest to -1/3 in 3, 1/4, h?
1/4
Let y = -5.22 - -3.22. What is the closest to 20 in 1, -2/5, y, 4?
4
Let h = 0.195 + -8.195. What is the nearest to 0 in h, -10, 3?
3
Let g = -1.13 - 3.87. What is the nearest to 1 in g, 1/3, -4, 3/8?
3/8
Let w
|
{
"pile_set_name": "DM Mathematics"
}
|
mmon denominator of -52/95 and 6/43.
4085
Calculate the common denominator of -70/171 and -2/27.
513
What is the least common multiple of 177 and 30?
1770
What is the lowest common multiple of 96 and 282?
4512
What is the common denominator of 55/128 and 117/320?
640
What is the lowest common multiple of 589 and 4?
2356
Calculate the least common multiple of 18 and 243.
486
Find the common denominator of 43/22 and -55/26.
286
Calculate the smallest common multiple of 93 and 186.
186
What is the lowest common multiple of 22 and 110?
110
Find the common denominator of -51/14 and 9/3142.
21994
What is the smallest common multiple of 128 and 18?
1152
Calculate the least common multiple of 363 and 21.
2541
Calculate the least common multiple of 54 and 42.
378
What is the common denominator of -145/5832 and -41/20?
29160
Calculate the lowest common multiple of 20 and 66.
660
Calculate the lowest common multiple of 88 and 1664.
18304
Calculate the smallest common multiple of 1292 and 5814.
11628
What is the common denominator of 68/33 and -73/537?
5907
Find the common denominator of 26/189 and 67/1953.
5859
Find the common denominator of -74/5031 and 34/9.
5031
What is the common denominator of -29/4452 and -101/212?
4452
Calculate the common denominator of -137/18 and 101/174.
522
Find the common denominator of -17/552 and -115/156.
7176
Calculate the smallest common multiple of 8 and 8945.
71560
What is the common denominator of -95/8 and -81/22?
88
Calculate the lowest common multiple of 873 and 2910.
8730
What is the common denominator of -26/95 and 56/195?
3705
Calculate the common denominator of 31/8 and 18/721.
5768
Calculate the least common multiple of 132 and 297.
1188
Calculate the least common multiple of 47 and 6.
282
What is the common denominator of 75/16 and 23/90?
720
Find the common denominator of -23/418 and 61/10.
2090
What is the least common multiple of 242 and 2?
242
Find the common denominator of 9/19 and -5/53.
1007
What is the smallest common multiple of 2010 and 67?
2010
What is the lowest common multiple of 1670 and 30?
5010
Calculate the lowest common multiple of 21 and 417.
2919
Calculate the common denominator of 2/35 and 1/700.
700
What is the common denominator of -73/14 and 73/2?
14
Calculate the common denominator of 137/276 and -107/30.
1380
What is the common denominator of -7/3 and 86/21?
21
What is the smallest common multiple of 1044 and 174?
1044
Find the common denominator of -79/14 and 29/86.
602
Calculate the common denominator of 129/220 and 111/140.
1540
Find the common denominator of 99/1972 and 82/1479.
5916
Calculate the smallest common multiple of 3 and 546.
546
What is the common denominator of 34/45 and -65/249?
3735
Calculate the smallest common multiple of 1288 and 72.
11592
Calculate the common denominator of 67/34 and -23/102.
102
What is the smallest common multiple of 40 and 2?
40
Calculate the common denominator of -37/517 and -47/55.
2585
Calculate the common denominator of -73/68186 and 52/9.
613674
Calculate the least common multiple of 12 and 1.
12
Find the common denominator of 137/24 and -13/42.
168
What is the lowest common multiple of 30 and 408?
2040
Calculate the least common multiple of 150 and 520.
7800
Calculate the least common multiple of 11 and 187.
187
What is the common denominator of -73/242 and 115/198?
2178
What is the least common multiple of 31130 and 4?
62260
Calculate the common denominator of -11/14 and 67/36.
252
Find the common denominator of -109/12 and 34/9.
36
Calculate the least common multiple of 135 and 24.
1080
Calculate the lowest common multiple of 1554 and 777.
1554
What is the smallest common multiple of 8 and 12?
24
Calculate the lowest common multiple of 16 and 67.
1072
What is the common denominator of 105/38 and -65/38?
38
What is the common denominator of 131/140 and 127/1740?
12180
Calculate the smallest common multiple of 51 and 187.
561
Calculate the smallest common multiple of 948 and 148.
35076
Find the common denominator of -131/54 and -77/60.
540
Calculate the least common multiple of 390 and 390.
390
Calculate the lowest common multiple of 31 and 7.
217
What is the smallest common multiple of 3 and 21?
21
Calculate the lowest common multiple of 188 and 24.
1128
Find the common denominator of 49/1203 and -51/1604.
4812
Find the common denominator of -91/3828 and -49/8.
7656
What is the least common multiple of 20 and 210?
420
What is the common denominator of 37/312 and 35/88?
3432
What is the least common multiple of 81 and 5?
405
Find the common denominator of 27/2 and 19/45.
90
What is the smallest common multiple of 134 and 9?
1206
What is the common denominator of -125/6 and -109/894?
894
Calculate the common denominator of 13/63 and 8/15.
315
What is the common denominator of -80/693 and 73/15?
3465
Find the common denominator of 65/24 and 77/90.
360
Find the common denominator of -143/4760 and 67/102.
14280
What is the smallest common multiple of 5 and 339?
1695
What is the lowest common multiple of 132 and 12?
132
Find the common denominator of -12/905 and -49/5.
905
What is the least common multiple of 8 and 80?
80
Calculate the smallest common multiple of 85 and 5.
85
What is the common denominator of 91/80 and 7/64?
320
What is the common denominator of -38/65 and 173/30?
390
What is the common denominator of -61/60 and 33/20?
60
Calculate the lowest common multiple of 1064 and 988.
13832
Calculate the common denominator of -17/7182 and 35/4.
14364
Calculate the common denominator of 97/108 and -92/675.
2700
What is the common denominator of -115/36 and -97/1116?
1116
Calculate the smallest common multiple of 72 and 8.
72
What is the common denominator of -103/210 and 107/525?
1050
What is the least common multiple of 96 and 7?
672
What is the smallest common multiple of 24 and 336?
336
Calculate the lowest common multiple of 64 and 1952.
3904
Calculate the common denominator of -187/30 and -13/150.
150
What is the smallest common multiple of 264 and 9?
792
What is the smallest common multiple of 6 and 168?
168
Find the common denominator of -27/2 and -77/12.
12
Find the common denominator of 43/552 and 95/42.
3864
What is the least common multiple of 1687 and 2169?
15183
Find the common denominator of -41/3751 and -16/2387.
26257
What is the least common multiple of 1347 and 12?
5388
What is the least common multiple of 360 and 180?
360
Find the common denominator of 31/16 and 31/1684.
6736
Find the common denominator of -47/195 and -99/26.
390
What is the common denominator of -31/5220 and -61/2900?
26100
What is the least common multiple of 2124 and 1888?
16992
Calculate the common denominator of -65/36 and -13/10016.
90144
Calculate the common denominator of 89/13845 and 17/8307.
41535
What is the smallest common multiple of 240 and 1220?
14640
Find the common denominator of 139/528 and -9/40.
2640
Find the common denominator of 97/300 and -5/24.
600
Calculate the smallest common multiple of 70 and 4.
140
What is the lowest common multiple of 51 and 66?
1122
Calculate the lowest common multiple of 5 and 230.
230
What is the least common multiple of 1098 and 20?
10980
Calculate the common denominator of -103/24 and 43/16.
48
What is the lowest common multiple of 14 and 38?
266
Calculate the lowest common multiple of 18 and 90.
90
What is the lowest common multiple of 20 and 770?
1540
Find the common denominator of 4/351 and -74/195.
1755
What is the least common multiple of 10 and 131?
1310
Find the common denominator of 83/230 and -113/2208.
11040
Calculate the lowest common multiple of 2754 and 1224.
11016
Find the common denominator of -115/8172 and 19/28.
57204
Calculate the common denominator of 127/2916 and 139/36.
2916
What is the least common multiple of 176 and 144?
1584
Calculate the lowest common multiple of 1 and 21.
21
Calculate the common denominator of -19/4644 and -163/7740.
23220
Calculate the common denominator of 157/30 and -46/477.
4770
Find the common denominator of 43/20 and -35/8.
40
Calculate the common denominator of -155/156 and 85/1128.
14664
What is the common denominator of -99/3496 and 18/3059?
24472
What is the smallest common multiple of 45 and 7?
315
What is the least common multiple of 5 an
|
{
"pile_set_name": "DM Mathematics"
}
|
0 (b) y (c) 3
a
Let s = 0.23 + -0.33. What is the nearest to 1 in s, 4, -3?
s
Let h = 16 + -16. Which is the closest to h? (a) 2/3 (b) -5 (c) -3
a
Let m = -0.48 + -3.52. What is the nearest to 0 in -5, -2, m?
-2
Let u(v) = v**2 + 7*v. Let m be u(-7). Which is the nearest to m? (a) -0.5 (b) -1/4 (c) -0.2
c
Let j be 3/(-108) - (-2)/8. Let y be 12/21 + 3 + -3. Let o = -5 + 6. Which is the closest to o? (a) y (b) -3/4 (c) j
a
Let k be (-1)/(-2) - (-18)/(-28). Let x = 0.05 + 0.05. Let m = 0.3 - x. Which is the closest to 1/4? (a) 0.1 (b) k (c) m
c
Suppose 2*w + 1 = 5. Suppose 2*u + 7 = 7*u - w*n, 0 = u - n + 1. Let j(a) = a**2 - 5*a + 4. Let h be j(3). What is the closest to -1/3 in u, h, 4?
h
Let o = 16 + -13. What is the closest to -1 in -0.5, o, 1?
-0.5
Let r(x) = x - 6. Let o be r(10). Suppose -3*i = -o*f, f = -5*i + 4*f. Let d = 114 + -800/7. Which is the closest to -0.1? (a) 5 (b) d (c) i
c
Let i be ((-10)/20)/(3 - 2). Which is the nearest to 0.32? (a) 0.1 (b) 4 (c) i
a
Let h = 49 + -51. Which is the nearest to -2? (a) h (b) 2/9 (c) -3
a
Let y = 0.8 - 0.6. What is the nearest to y in -0.3, -2/3, -2?
-0.3
Let v = 5 - 5. Let n be -1*v/(3/(-3)). Suppose -3*k = 6*o - o + 9, -4*k - 12 = -4*o. Which is the closest to o? (a) n (b) -5 (c) -3/2
a
Let g = 547/5 - 109. Which is the nearest to -1/2? (a) 1/2 (b) g (c) -4
b
Let b = 6.18 + -11.27. Let x = -0.09 - b. Suppose -2*s + 1 - 8 = -3*p, -11 = 2*s + p. What is the nearest to -0.1 in 1/5, x, s?
1/5
Let l = -1 - -3/2. Let k = 25/57 - 2/19. Which is the nearest to -0.3? (a) 0.1 (b) l (c) k
a
Let m(h) = h**2 - 5*h + 6. Let t be m(2). What is the nearest to t in -8, 0.5, 5/2?
0.5
Let p = 19/4 + -55/12. Which is the nearest to -0.1? (a) 4 (b) p (c) 2
b
Let l = 6 - 7.4. Let d = l + 1.3. Which is the closest to d? (a) -2 (b) -0.3 (c) 1
b
Let p = -3 - -2.7. What is the nearest to 1 in 3/4, -4, p?
3/4
Let w be (-51)/99 - 4/(-12). Let v = -1 - 1. Which is the closest to -2? (a) v (b) 2/7 (c) w
a
Let u = -25 + 20. Let t = 0.37 - 0.07. Let a = t - 0.2. What is the nearest to a in u, 2/7, -4/7?
2/7
Let k = 8.2 + -8. Let i = -0.49 + 0.19. What is the nearest to -1 in 4, i, k?
i
Let z = 3/86 - 49/172. Let r = 3 + -1. Let w(s) = 4*s + 1. Let g be w(1). Which is the nearest to 0? (a) z (b) r (c) g
a
Let z be 1/(1/(-2))*(-14)/56. Let p = 2.1 - 2. Let d = -2.1 + p. Which is the nearest to -1? (a) 0.3 (b) z (c) d
c
Let t = -35 + 32. What is the nearest to -7 in t, 0.5, 2/3?
t
Let u = -55 + 54. Suppose -3*m - 2*m = 0. What is the nearest to -2/3 in -3, u, m?
u
Let q = 70 + -62.4. Let l = q + -4.2. Let w = l - 3. Which is the closest to 1? (a) -0.1 (b) -2 (c) w
c
Let m = -7/12 + 5/6. Which is the closest to -2/3? (a) m (b) 3/5 (c) 0.02
c
Let g = -2 + 1. Let z be 2*(0 - g/7). What is the nearest to -2/3 in 4, 0, z?
0
Let t = 0.5 + -0.9. Let k(r) = -2*r**2 + 3*r - 3. Let q be k(2). What is the closest to 1 in -3/5, q, t?
t
Let r = -3.945 - 0.055. What is the closest to -0.2 in -2, r, 0?
0
Let w = 1.09 - 0.59. What is the closest to 0.1 in 10, 2/5, w?
2/5
Let a = -0.47 + 0.37. Let q(t) = t**2 - 3*t + 4. Let m be q(3). Let g be (2/m)/(28/(-24)). What is the nearest to a in -1/2, g, 0.4?
g
Let d = 14.7 - 14.61. Which is the closest to 1/3? (a) 5/4 (b) -0.1 (c) d
c
Let h = -6 + 14. Let p = 8.3 - h. What is the closest to 2/5 in p, -0.3, 2?
p
Let w = -0.8 + -0.2. Suppose 0*i - 4*i = -4*k + 32, 5 = -i. Let y = -7 + k. What is the nearest to -2 in w, y, -0.3?
w
Let j = -126 - -126.1. Which is the nearest to -2/5? (a) -34 (b) 0 (c) j
b
Suppose 3*p = 5*m + 9, -7 = 3*m - 0*p - p. Let c = 43 + -43.5. What is the nearest to 0.1 in m, c, 5?
c
Let o be (-20)/14 + 5 + -4. Which is the closest to 5? (a) o (b) 2/15 (c) 3
c
Let w = 3 - 3.2. Let y = 0.2 + w. Let h = -192 + 194. Which is the closest to y? (a) h (b) 5 (c) 4
a
Suppose -4*z = l + 180, z - 5 + 1 = 0. Let r = -3722/19 - l. What is the nearest to 0 in -3, r, 1/5?
r
Let s be (-12)/(-8) + 746/(-20). Let n = -539/15 - s. Which is the closest to n? (a) 2/7 (b) -0.4 (c) -2
b
Let l = 0.045 + 4.955. Which is the closest to -1? (a) -4/9 (b) l (c) -0.035
a
Suppose 0 = 2*v - 2*x + 2, 0*x - 3*x + 3 = -4*v. Let z = -43 + 44. Which is the nearest to v? (a) 5 (b) z (c) -2/3
c
Let i be ((-1)/6)/(1/(-2)). Let b = -1 + 4. Suppose -b*a = -0*a - 15. What is the nearest to i in a, 0, 1?
0
Let b = -1 + 0. Let x = -44/295 - 3/59. What is the closest to -2/5 in b, x, 0.5?
x
Let r = -135.8 + 136. What is the nearest to -10 in 1, 0.5, r?
r
Let i = -4/11 - 10/33. Let l(o) = o**3 + 3*o**2 - 6*o - 4. Let s be l(-4). Let w = 6 + -6.4. What is the nearest to -0.1 in w, s, i?
w
Let y = 74 + -74.1. Which is the nearest to -2? (a) y (b) 4 (c) 0.5
a
Suppose 0*q - 6 = -2*q + 3*i, 5*q + 6 = -3*i. Which is the closest to 0.02? (a) 0.1 (b) q (c) -3
b
Let s be 1 - 0 - (-6)/(-4). Let d = 1.6 + -1.1. Which is the closest to s? (a) 0 (b) -0.3 (c) d
b
Let r = -8 - -11. Let u = -35/2 - -109/6. Which is the closest to u? (a) 1/3 (b) 4 (c) r
a
Let d be 0 + (10*1)/2. Let v be d/2 - 2/1. Let w = -31.8 - -32. What is the closest to 1 in v, w, -0.4?
v
Let t = -0.6 - -0.1. Let l = t + 0.3. Which is the closest to -0.1? (a) -0.5 (b) l (c) -2
b
Let q = -25.9 + 26. Which is the closest to q? (a) 1 (b) -6 (c) 0.3
c
Suppose -3*p = -13 - 2. Suppose p*q = -4*r + 1, r + 5 = 3*q + q. Let t be (-2)/(-5) - (-22)/(-80). Which is the nearest to 0? (a) t (b) -0.4 (c) r
a
Let t = 4.6 + -3.52. Let v = -0.08 + t. Suppose 5*w + 29 = 4. Which is the nearest to 1? (a) 0 (b) w (c) v
c
Let g = -5 + 10. What is the closest to -0.2 in 1, g, -1?
-1
Let h = 2 + -2.2. Let s = -0.2 - h. Which is the closest to 1? (a) -2/13 (b) s (c) -5
b
Let d be 1*(2 + -4) - 0. Which is the nearest to d? (a) 2/11 (b) 0.5 (c) -0.3
c
Let l be 25/20*(-5 - -1). Which is the nearest to -0.1? (a) -3 (b) -2/11 (c) l
b
Let k = 13 + -13.7. Let t = 0.8 + 0.4. Let f = k + t. Which is the nearest to 2? (a) -4 (b) f (c) 5
b
Suppose -i = 0, -5*i - 41 = -3*s + 19. Let y be 10/9*12/s. Which is the nearest to 0? (a) 0 (b) y (c) 5
a
Let z = -0.3 - -0.6. Let l = 22.5 + -22. Which is the closest to -1/2? (a) -3 (b) l (c) z
c
Let h = -17 + 16. What is the closest to -7/2 in 4, h, 0?
h
Let r = 10 - 9.7. What is the nearest to 0 in r, -2/5, -6?
r
Let i(o) = -o + 6. Let t be i(10). Which is the closest to -2/7? (a) 3 (b) 1/7 (c) t
b
Let g be (-1)/2 - (-5)/(-10). Let n = -0.4 + 0.2. What is the nearest to 2 in g, 0.2, n?
0.2
Let j = 64 - 64.3. Suppose -3*w = 2*d + 2*w + 30, -2*w - 33 = 5*d. What is the closest to -1 in j, d, -0.1?
j
Let q(w) = -w**3 + w**2 + 2*w + 1. Let y be q(-1). Which is the nearest to 1? (a) y (b) -11 (c) -3/7
a
Suppose 3*p = -f - 5, p + 4 = 2*f + 7. Let j = -13 - -27/2. What is the closest to p in j, 2, -2/7?
-2/7
Let v = 1074 + -383416/357. Let k = v - 104/357. What is the nearest to k in 1/4, -4, 0?
0
Let k = 12 + -8. Let n = -181 + 180. Which is the nearest to -2? (a) n (b) k (c) 0
a
Let z be (-1 - -2)*-1*1. Let d = 125 - 623/5. Which is the nearest to d? (a) z (b) -0.3 (c) -2/7
c
Let f be (-4)/(-40)*100/(-8). Let g = -86/3 - -29. What is the closest to -0.5 in f, 0.1, g?
0.1
Let i = -7 + 2. Suppose -5 = -2*p - 1. Let f be 0/(2*p/4). What is the closest to f in 4, 3, i?
3
Let i = 24 - 169/7. Let k = 1 - 0.7. Let d = k + -5.3. Which is the closest to 0? (a) 3 (b) d (c) i
c
Let f be (-2)/(-2) + (-170)/146. Let p = -254/657 - f. Let u = 0 - -4. Which is the closest to 2/3? (a) p (b) 1 (c) u
b
Let s = -0.7 + 8.7. Let q = -4.5 + s. Let n = -4 + q. What is the nearest to -1 in -1, n, -4?
-1
Let d = -0.07 + -1.93. Let w = 4 + d. Let n = 1/28 - -1/4. What is the nearest to w in -5, -2, n?
n
Let i = -15.1 - -15. Let k = 0.42 + -0.02. Which is the nearest to -1? (a) k (b) 1 (c) i
c
Let q = -0.53 - -3.43. Let g = q - 3. Suppose -3 = -3*j - 15. What is the nearest to -1/2 in g, 0.1, j?
g
Let q be 30/(-11)*5/(-3). Let v = -283/55 + q. Let h be (8/(-34))/(34/(-17)). Which is the closest to -1? (a) h (b) -3/4 (c) v
b
Let u = -1.04 + 0.04. Let s = 1.05 + u. Let r = s + -0.15. Which is the nearest to -1? (a) -0.3 (b) r (c) 5
a
Suppose -o = -0*o +
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(19) + 1439
Simplify ((sqrt(27) - -6*sqrt(27))/sqrt(9)*3)**2.
1323
Simplify (-3 + -2*sqrt(275)*-1 + -4)**2.
-140*sqrt(11) + 1149
Simplify -2 + (sqrt(3) + sqrt(3) + 4*sqrt(3) + 0 + -5)**2.
-60*sqrt(3) + 131
Simplify ((2 + sqrt(275) - sqrt(275)) + sqrt(275) + -3)**2.
-10*sqrt(11) + 276
Simplify (3*sqrt(117)*-1)/(sqrt(225) - (sqrt(225) + (sqrt(225)*-2 + sqrt(225) - sqrt(225)) - sqrt(225)) - sqrt(225)).
-3*sqrt(13)/10
Simplify (sqrt(2187) - (sqrt(2187) - (sqrt(2187) + 1 + -1) - sqrt(2187)))**2.
8748
Simplify -3*sqrt(25)/(sqrt(20)/sqrt(36)).
-9*sqrt(5)
Simplify (1 + sqrt(91)/sqrt(7) + 0)**2.
2*sqrt(13) + 14
Simplify (sqrt(17) - (sqrt(17) - (5 + sqrt(17)*-4)))**2 + sqrt(17) + -3.
-39*sqrt(17) + 294
Simplify (1 + sqrt(343) + -5)**2.
-56*sqrt(7) + 359
Simplify 2 + sqrt(28) + 3.
5 + 2*sqrt(7)
Simplify (sqrt(704) - (sqrt(704) - (sqrt(704) + 0 + 0)))**2.
704
Simplify sqrt(112)*-4 - sqrt(7)*2*6.
-28*sqrt(7)
Simplify (sqrt(154)/(sqrt(33)/sqrt(3)))/(-1*sqrt(8)/sqrt(4)).
-sqrt(7)
Simplify 2 + sqrt(20) + 3.
2*sqrt(5) + 5
Simplify (sqrt(180)/(sqrt(12)/sqrt(4)))/((sqrt(36) + sqrt(324))/sqrt(3)).
sqrt(5)/4
Simplify 4 + (1 + sqrt(833) + 0)*-2.
-14*sqrt(17) + 2
Simplify (sqrt(330)/(-2*sqrt(10)))/((sqrt(108)/sqrt(3))/sqrt(12)).
-sqrt(11)/2
Simplify (1*1*sqrt(200))**2*-6 + -1.
-1201
Simplify 3 + (((sqrt(192) - -1*sqrt(192)) + sqrt(192))/sqrt(12))/(sqrt(32)/sqrt(4)*3).
sqrt(2) + 3
Simplify sqrt(1100) + -2 + 0.
-2 + 10*sqrt(11)
Simplify (-4 + sqrt(80) + 0)**2.
-32*sqrt(5) + 96
Simplify 6*(sqrt(1331)*-2)**2.
31944
Simplify (sqrt(19)*1*5 - -4*(1 + sqrt(19)))**2.
72*sqrt(19) + 1555
Simplify (-3 + sqrt(102)/sqrt(6) + sqrt(425) + -3)**2.
-72*sqrt(17) + 648
Simplify 5 + 2*sqrt(11) + 5.
2*sqrt(11) + 10
Simplify (sqrt(11) - (sqrt(33)/(sqrt(48) + sqrt(3)))**2) + (sqrt(539) - sqrt(539)*2).
-6*sqrt(11) - 11/25
Simplify 6*sqrt(21)/(sqrt(28)*2).
3*sqrt(3)/2
Simplify 5 + (sqrt(1584) - (-2 + sqrt(1584))) + -1.
6
Simplify ((sqrt(20) - (sqrt(20) + sqrt(20)*3))*2)/((sqrt(20)*2)/sqrt(5)).
-3*sqrt(5)
Simplify 4*(-1 + (sqrt(468) + -1)**2)*2.
-96*sqrt(13) + 3744
Simplify sqrt(144)/sqrt(2) + sqrt(18) - sqrt(1458)*3.
-72*sqrt(2)
Simplify (-4*(sqrt(432)*-1 + -5))**2.
1920*sqrt(3) + 7312
Simplify 1*((sqrt(102)/(-1*sqrt(6)) - sqrt(17) - sqrt(17)) + -1*(sqrt(17) - sqrt(68)/sqrt(4))).
-3*sqrt(17)
Simplify (sqrt(500) + 1 + 1)**2*-4.
-2016 - 160*sqrt(5)
Simplify (-2*sqrt(288))**2 + 0.
1152
Simplify (sqrt(320) + (-2*(2*sqrt(320) + sqrt(320)) - sqrt(320)) + -2)**2.
192*sqrt(5) + 11524
Simplify (sqrt(6)*3*-1)/sqrt(2)*3.
-9*sqrt(3)
Simplify -1 + (-2*sqrt(125) + 5)**2.
-100*sqrt(5) + 524
Simplify (sqrt(204)*2*-5)/(3*sqrt(48)).
-5*sqrt(17)/3
Simplify sqrt(1425)/sqrt(3) + sqrt(114)/(sqrt(6) - sqrt(6)*-2).
16*sqrt(19)/3
Simplify ((sqrt(153) + 0 - sqrt(17))*-5)**2.
1700
Simplify (2 + sqrt(1331) + -1)**2.
22*sqrt(11) + 1332
Simplify (5*(sqrt(684) + 1 + 0)*-6)**2.
10800*sqrt(19) + 616500
Simplify (-2 + sqrt(5))**2*3 + -4 + sqrt(180).
-6*sqrt(5) + 23
Simplify sqrt(175) + 1 - (4 + sqrt(7)*2).
-3 + 3*sqrt(7)
Simplify -1 + sqrt(228)/(-1*sqrt(1452)) + 3.
-sqrt(19)/11 + 2
Simplify 5*(sqrt(11) + 0) + sqrt(176)*2.
13*sqrt(11)
Simplify (3*sqrt(425) + -3)**2.
-90*sqrt(17) + 3834
Simplify 6*((sqrt(304) + -5*2*sqrt(304))**2 + (5*(sqrt(304) + -1) - sqrt(304))**2).
-960*sqrt(19) + 177078
Simplify 0 + 4 + sqrt(50).
4 + 5*sqrt(2)
Simplify 1 + ((sqrt(847) + -1*sqrt(847) + sqrt(847))*-3 - -5*sqrt(847)*1)**2.
3389
Simplify (sqrt(3) - (1 + -2*sqrt(3)))**2*-4.
-112 + 24*sqrt(3)
Simplify -3*sqrt(1125).
-45*sqrt(5)
Simplify ((-4 + sqrt(76))*-3)**2.
-144*sqrt(19) + 828
Simplify sqrt(275)*-1*4.
-20*sqrt(11)
Simplify sqrt(3)*2*-1 - (1*sqrt(36))/sqrt(12) - sqrt(9)/(sqrt(6)/sqrt(2))*-6.
3*sqrt(3)
Simplify (sqrt(475) + 0 + -3 + 3 + sqrt(475)*1)**2.
1900
Simplify (3*(sqrt(17) + 1) + (sqrt(187)*-2)/sqrt(11))**2.
6*sqrt(17) + 26
Simplify 2 + (sqrt(112)*3 - sqrt(7)) + -1.
1 + 11*sqrt(7)
Simplify (sqrt(2880)*1)/((sqrt(30) + sqrt(270))/sqrt(3)).
3*sqrt(2)
Simplify sqrt(36)/(-3*(-2*sqrt(12) - sqrt(12)) + sqrt(12)) + (2 + (sqrt(3) - 1*sqrt(108)))**2.
-199*sqrt(3)/10 + 79
Simplify 2 + (sqrt(891) + 0)**2 - sqrt(33)/(sqrt(192)*1).
-sqrt(11)/8 + 893
Simplify (-3*sqrt(77)*3)/(-5*sqrt(252)).
3*sqrt(11)/10
Simplify ((sqrt(77) - -2*sqrt(77))*1)/(sqrt(1100) - (3*sqrt(1100) - sqrt(1100))).
-3*sqrt(7)/10
Simplify 6*(sqrt(8) + 1 + sqrt(2)) + 3.
9 + 18*sqrt(2)
Simplify (-2*sqrt(475))**2 - (sqrt(76)*-2 - sqrt(76)).
6*sqrt(19) + 1900
Simplify (sqrt(52) + 4 + sqrt(117)/sqrt(144))**2.
18*sqrt(13) + 1309/16
Simplify (sqrt(90)*-4)/(1*sqrt(2)*1).
-12*sqrt(5)
Simplify (sqrt(5) - 6*(sqrt(10)/sqrt(2) - sqrt(5)))**2 + -2 + (sqrt(5) + 2)**2.
4*sqrt(5) + 12
Simplify (sqrt(21)/sqrt(3))**2*6 - (sqrt(35)/sqrt(5) + sqrt(7) + 3).
-2*sqrt(7) + 39
Simplify ((sqrt(35) + sqrt(385)/(sqrt(44)/sqrt(4)))/(sqrt(60)/(sqrt(48)/sqrt(4))))**2.
28
Simplify 1*(sqrt(1900) + -1 + -1).
-2 + 10*sqrt(19)
Simplify (1*sqrt(17) + 1)**2*6.
12*sqrt(17) + 108
Simplify (sqrt(7) - (sqrt(7) - (sqrt(7) - ((-2*sqrt(56))/sqrt(8))**2)))*-1.
-sqrt(7) + 28
Simplify ((sqrt(792)*5 + sqrt(22))/sqrt(2))**2*-6.
-63426
Simplify sqrt(63)/(sqrt(144)/sqrt(4)).
sqrt(7)/2
Simplify 4*sqrt(147) + sqrt(12)/sqrt(4)*-1.
27*sqrt(3)
Simplify ((-3 + sqrt(68) + 1 + sqrt(68) - sqrt(68)) + 1)**2.
-4*sqrt(17) + 69
Simplify sqrt(1053) + -1 + 3*-2*sqrt(13).
-1 + 3*sqrt(13)
Simplify (-6*3*sqrt(2) + sqrt(162) + -3)**2.
54*sqrt(2) + 171
Simplify ((-5*sqrt(117)*-5)/sqrt(9)*1)**2.
8125
Simplify ((-4 + (sqrt(539) - 1*sqrt(539)) - sqrt(539)) + sqrt(33)/sqrt(3)*-2 + (sqrt(132) - (sqrt(132) + 1*sqrt(132)) - sqrt(132))/sqrt(12))**2.
88*sqrt(11) + 1347
Simplify (sqrt(117)*-2)**2 + sqrt(52)*4 + sqrt(52).
10*sqrt(13) + 468
Simplify (sqrt(84) - (sqrt(84) - (sqrt(84) - -2*sqrt(84))*-2 - sqrt(84) - sqrt(84)))/(sqrt(12) - sqrt(24)/sqrt(8)).
-8*sqrt(7)
Simplify (-5*(sqrt(102) - 1*sqrt(102)))/(sqrt(42)/(sqrt(7)*1 + sqrt(7))).
0
Simplify -5 + -2 + (-4*sqrt(5)*-1)**2.
73
Simplify (6*(sqrt(4050) + sqrt(4050) + 1) - (sqrt(4050) + (sqrt(4050) - (-4 + 0 + sqrt(4050))) + sqrt(4050)))**2.
1800*sqrt(2) + 405004
Simplify (sqrt(19) + sqrt(19) + -1*(sqrt(76)/sqrt(4) + sqrt(19)))**2 + (sqrt(304))**2*5.
1520
Simplify sqrt(40)/(sqrt(968)*2).
sqrt(5)/22
Simplify -1*((sqrt(3) + sqrt(3) + (sqrt(48)*4 + sqrt(3))**2 + sqrt(3) + sqrt(3) + sqrt(3) - sqrt(3)) + sqrt(3) - sqrt(3)).
-867 - 4*sqrt(3)
Simplify (1*(sqrt(34)*3 + sqrt(34)))/sqrt(2).
4*sqrt(17)
Simplify (sqrt(5) - (sqrt(10)/sqrt(2) + 5 + sqrt(5))) + -1 + sqrt(720) + sqrt(720) + -4.
-10 + 23*sqrt(5)
Simplify (sqrt(396)*1)/(-6*sqrt(100)).
-sqrt(11)/10
Simplify -1 + sqrt(80) - sqrt(5) - sqrt(45)/(-2*sqrt(9)).
-1 + 7*sqrt(5)/2
Simplify 1 + (-4*sqrt(133)/sqrt(7) + sqrt(19))**2.
172
Simplify -5 + sqrt(19) + 0 + sqrt(19)*-3.
-2*sqrt(19) - 5
Simplify (0 + -2*sqrt(200) + 5)**2.
-200*sqrt(2) + 825
Simplify (sqrt(6)/sqrt(75) - sqrt(2))*1*-1.
4*sqrt(2)/5
Simplify 2*sqrt(17) + 3 + (sqrt(17) - (2 + sqrt(17) + 1)).
2*sqrt(17)
Simplify (sqrt(90)/(-3*sqrt(9)) - sqrt(10))/(sqrt(6)/(sqrt(3) + sqrt(6)/sqrt(2))).
-8*sqrt(5)/3
Simplify 4 + -2*sqrt(75)*-6.
4 + 60*sqrt(3)
Simplify -1*2*sqrt(12)/sqrt(6).
-2*sqrt(2)
Simplify -2 + (sqrt(8)/sqrt(4) + -3 - (0 + sqrt(50))).
-4*sqrt(2) - 5
Simplify (2*sqrt(684))**2 + sqrt(19) + -1 + -2.
sqrt(19) + 2733
Simplify (sqrt(17) + (sqrt(68)*-1)/sqrt(4) + sqrt(1700) + -1 + sqrt(1700) + sqrt(1700))**2.
-60*sqrt(17) + 15301
Simplify -3 + sqrt(171) + (2*sqrt(38))/sqrt(2).
-3 + 5*sqrt(19)
Simplify (1*sqrt(637))**2 - (sqrt(52)/sqrt(4) + 0).
-sqrt(13) + 637
Simplify (sqrt(102) + sqrt(102) + -5*-1*sqrt(102))/(sqrt(6)*-2*-6 + sqrt(6)).
7*sqrt(17)/13
Simplify sqrt(605) + sqrt(605) + -3 + sqrt(605) + 5.
2 + 33*sqrt(5)
Simplify ((sqrt(36) - (sqrt(5184) + -2*sqrt(5184)))/(sqrt(1728)*2))**2.
169/192
Simplify 3*sqrt(112) + -5.
-5 + 12*sqrt(7)
Simplify -4*2*sqrt(75) - sqrt(75) - -1*sqrt(75)*1.
-40*sqrt(3)
Simplify -6*sqrt(304)*-1.
24*sqrt(19)
Simplify sqrt(7)*2*2 + -2*(-3 + sqrt(7)).
2*sqrt(7) + 6
Simplify 4*1*sqrt(7) + (sqrt(63)/sqrt(324))**2.
7/36 + 4*sqrt(7)
Simplify (sqrt(7) - (sqrt(112)/sqrt(4))/sqrt(4))*1.
0
Simplify (sqrt(605) - (sqrt(605) - (sqrt(605) - (-6*(sqrt(605) - (sqrt(605) - (sqrt(605) - (1 + sqrt(605)) - sqrt(605)))))**2 - sqrt(605))) - sqrt(605))*2*6.
-261792 - 9636*sqrt(5)
Simplify 2*sqrt(85)/
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the third derivative of -26*u**4 - 1075700*u**3 - 236546018*u**2 wrt u?
-624*u - 6454200
What is the derivative of -8911*i*v**3 + 434*i - 2*v**3 + 11*v**2 + 18224*v - 3 wrt i?
-8911*v**3 + 434
Differentiate o**2*u*w - 5*o**2*u + o**2*w + 1580*o**2 - 8*o*u*w - o*u + 4*u - 32216*w with respect to w.
o**2*u + o**2 - 8*o*u - 32216
What is the first derivative of 727766*q*v - 68*q - 69965*v + 1643 wrt q?
727766*v - 68
Find the second derivative of 3*j**3*m**2*v**2 - j**3*m**2*v + 291*j**3*m*v - 19*j**2*m**2 + 22*j*m*v + 761653*m**2*v**3 - m*v wrt v.
6*j**3*m**2 + 4569918*m**2*v
Find the second derivative of -236*t**2*w - 3655*t**2 - 2707*t*w - 5*t + w - 324 wrt t.
-472*w - 7310
Differentiate -11*f**4 - 1617*f**3 - 223*f + 66473585 wrt f.
-44*f**3 - 4851*f**2 - 223
Find the second derivative of 513706858*d**2 - 3689*d - 34010 wrt d.
1027413716
What is the second derivative of -83*r**3*v + 2*r**3 + 2*r**2*v + 60697*r**2 + 886*r*v + 9*r + v + 57 wrt r?
-498*r*v + 12*r + 4*v + 121394
What is the second derivative of 1969965*w**4 + 2640909*w wrt w?
23639580*w**2
What is the first derivative of -276098433*j + 656975176 wrt j?
-276098433
What is the third derivative of -29619262*h**6 + 2900*h**2 - 20*h - 70?
-3554311440*h**3
What is the second derivative of -105*w**3 + 75447*w**2 + 5807*w - 33 wrt w?
-630*w + 150894
What is the third derivative of -19721132*l*v**3 - 3*l*v**2 + 13319958*l wrt v?
-118326792*l
Differentiate -10*b**3*d**2 - b**3 + 7*b**2 + 29*b*d**2 + 22961*b + 15*d**2 with respect to d.
-20*b**3*d + 58*b*d + 30*d
Find the first derivative of 57595582*m*t + 48309*m - 307 wrt t.
57595582*m
Find the third derivative of -1092*q**4 + 13250*q**3 - 50193262*q**2.
-26208*q + 79500
Find the third derivative of -4647985*h**5 - 2495044*h**2.
-278879100*h**2
Find the second derivative of a*l*s**2 + 4*a*l*s + a*l - 9*a*s**2 + 2*a*s + 6*a - 7*l*s**2 - l*s - 362*s**2 + 2*s - 133 wrt s.
2*a*l - 18*a - 14*l - 724
What is the first derivative of 86483989*b + 324027276 wrt b?
86483989
What is the third derivative of -548351276*r**3*t**2 - r**2*t**2 - 58*r**2*t + 160*r**2 + 3*t**2 + 320 wrt r?
-3290107656*t**2
Find the first derivative of -18220221*b**4 + 3324875.
-72880884*b**3
Find the second derivative of -21*l**2*s - 67521*l**2 + 1744*l + 930*s wrt l.
-42*s - 135042
What is the second derivative of -745053517*c**4 - 122377*c + 1189 wrt c?
-8940642204*c**2
Find the second derivative of -11*p**3 - 467778*p**2 + 76236761*p wrt p.
-66*p - 935556
What is the third derivative of 686192444*o**5 - 2*o**3 - 17134346*o**2 - 3*o + 4?
41171546640*o**2 - 12
What is the third derivative of 91612*w**6 + 11*w**4 + w**2 - 19035991*w?
10993440*w**3 + 264*w
Find the second derivative of 749617575*p**4 - 219*p + 506694 wrt p.
8995410900*p**2
What is the third derivative of 10*a**5*y - 883292*a**3*y + 204*a**2*y + 368213*a*y wrt a?
600*a**2*y - 5299752*y
Find the second derivative of -1208*l*y**2 + 55*l*y + l - 26750*y**2 - 1716*y wrt y.
-2416*l - 53500
What is the second derivative of 35*l**4 - l**3 + 5968*l**2 + 127*l - 6082?
420*l**2 - 6*l + 11936
What is the second derivative of -13022*o*v**3*w**2 - o*v**3 - 413*o*v*w**3 - o*v*w + 283*o*v - 109*v**3 + w + 3 wrt w?
-26044*o*v**3 - 2478*o*v*w
Differentiate -10*d*m**2 - 49549239*d*m*n - 2*d*m + 60*d + m**2*n**3 - 39*m**2 + 12*m - 2 wrt n.
-49549239*d*m + 3*m**2*n**2
Find the second derivative of 9661*p**4 + 21*p**3 - 3*p - 341137.
115932*p**2 + 126*p
What is the third derivative of -20928374*t**5 - 54040125*t**2?
-1255702440*t**2
Differentiate 6414929*k**2*l*x + k**2*l - k**2*x - 2*k**2 - 7255*k*l - 2*k + 8*l*x with respect to x.
6414929*k**2*l - k**2 + 8*l
What is the third derivative of -372222209*v**4 - 640*v**2 - 115415?
-8933333016*v
What is the third derivative of -84798*h**6 - 136*h**3 + 339522117*h**2?
-10175760*h**3 - 816
Find the first derivative of -274806*b**3 + 28632488 wrt b.
-824418*b**2
Find the first derivative of -160733918*c**4 + 28082145 wrt c.
-642935672*c**3
What is the third derivative of 35*c**3*p*w**3 + 2*c**3*p*w - 564*c**2*p**2 - 2*c**2*w**2 - 2*c*p**2*w + 3*c*w**2 - 77158*p**2*w**5 + 192*p**2*w**2 wrt w?
210*c**3*p - 4629480*p**2*w**2
Find the second derivative of 4*k*n**3 + 2*k*n**2 + 905*k*n + 224652*n**3 - n**2 + 4988*n wrt n.
24*k*n + 4*k + 1347912*n - 2
Differentiate -114394600*c**3*l**4 + 777105987*c**3 with respect to l.
-457578400*c**3*l**3
What is the first derivative of 263892308*r**3*y**3 - r**3*y - 2*y**3 - 51539*y**2 + 224*y wrt r?
791676924*r**2*y**3 - 3*r**2*y
What is the second derivative of -6934286*k**3 - 11375764*k wrt k?
-41605716*k
What is the derivative of 39753591*a - 10177118?
39753591
What is the third derivative of -3*p**3*r**2 - 342940*p**3*r - p**3 + 86*p**2*r**2 - 10*p**2*r - 9*p**2 + 2*p*r**2 + 13*r**2 - r wrt p?
-18*r**2 - 2057640*r - 6
What is the first derivative of h*k**3*r - 156*h*k**2 + 45*h*k - h*r + 12119253*k**3*r - k**3 wrt h?
k**3*r - 156*k**2 + 45*k - r
Find the third derivative of -82122804*x**3 + 53*x**2 - 143*x + 805 wrt x.
-492736824
Find the third derivative of -303*p**3*x**2 - 59554*p**3 - p**2*x**2 + 29*p**2*x + 2*p**2 - 10069*p*x**2 + 4*p wrt p.
-1818*x**2 - 357324
What is the derivative of -8*f*s**2 - 665311*f + 2979348*s**2 wrt f?
-8*s**2 - 665311
Differentiate 6161624*z - 8203678 wrt z.
6161624
What is the second derivative of -119295960*b**2*c**2 + b**2 + 3*b - 982221*c**2 - 23 wrt b?
-238591920*c**2 + 2
Find the second derivative of -4943719*b**4 - 96551*b - 82 wrt b.
-59324628*b**2
Differentiate -276941749*w**3 + 61143875 wrt w.
-830825247*w**2
Find the second derivative of 349*d*g**2*s - 3*d*g**2 - d*g + 4*d - 2*g**2*s + 37*g**2 - 2*g*s + 198344*g wrt g.
698*d*s - 6*d - 4*s + 74
Find the third derivative of 2*n*o**3 + 2*n*o**2 + 19511*n*o - 4*n + 54975877*o**3 + 10*o**2 - 2 wrt o.
12*n + 329855262
Find the third derivative of -167081048*b**3 - 29*b**2 + 346362*b + 4 wrt b.
-1002486288
Find the second derivative of -o*p*t**2 - 2*o*p*t - 176*o*t**2 + 2681*o*t + 5*p*t**2 + 2*p + 118*t**2 - 69*t + 2 wrt t.
-2*o*p - 352*o + 10*p + 236
What is the second derivative of 867964*n**3 + 55*n**2 - 817938257*n?
5207784*n + 110
What is the second derivative of -15*z**3 - 363003*z**2 + 21992272*z?
-90*z - 726006
Find the first derivative of 2*q**4 + 4*q**3 - q**2 - 75734*q + 6585599.
8*q**3 + 12*q**2 - 2*q - 75734
Differentiate -11135121*t**3 - 130990947 with respect to t.
-33405363*t**2
Find the third derivative of 8989908*n**3 + 394*n**2 + 3299.
53939448
Find the third derivative of -534560657*v**4 - 3006*v**2 - 2*v + 34103 wrt v.
-12829455768*v
Find the first derivative of -56358224*a**3*g*o**2 - a**3*o**2 - 23*a**3*o + 3*a**2*o**2 + 17*a*o**2 - 5*a wrt g.
-56358224*a**3*o**2
Differentiate -i**3 - 11885*i**2 + 171*i + 24067660.
-3*i**2 - 23770*i + 171
Differentiate -8099*f**2*l + 6057992*f**2 + 6*f*l - 6*l with respect to l.
-8099*f**2 + 6*f - 6
Find the second derivative of -17252352*b*r**2 + 325960*b + 12*r wrt r.
-34504704*b
What is the second derivative of -6*p**4 - 82443*p**3 + 297*p**2 - 1267348*p + 54 wrt p?
-72*p**2 - 494658*p + 594
Differentiate 426*t**2*x - 6*t**2 - 104*t*x + 2*t + 12086339*x with respect to t.
852*t*x - 12*t - 104*x + 2
What is the second derivative of 2*v**4 - 40891*v**3 - v**2 + 120*v + 4876?
24*v**2 - 245346*v - 2
What is the second derivative of 28651624*w**2 + 38718109*w?
57303248
What is the second derivative of 520971082*p**3*z + 454*p*z + 601*p + 90*z wrt p?
3125826492*p*z
Find the second derivative of 5*l**5 + 2*l**4 + 731979*l**2 + 30661783*l wrt l.
100*l**3 + 24*l**2 + 1463958
Differentiate 63*i**4 - 275229*i**2*m + 3809121*m + 6 with respect to i.
252*i**3 - 550458*i*m
Find the third derivative of -2*i**5 - 28970661*i**3 - 138091374*i**2.
-120*i**2 - 173823966
What is the derivative of 107732761*x**4 + 230788785 wrt x?
430931044*x**3
Find the first derivative of 445564567*n - 1054090926.
445564567
What is the second derivative of 81103283*r**2*t**2 + 2*r*t**2 + r - 38968789*t**2 wrt r?
162206566*t**2
What is the second derivative of 45*i*n**3 + 101193*i*n**2 + 1792*i*n + 111*i + 1 wrt n?
270*i*n + 202386*i
Find the third derivative of 559*n**3*r**3 - 163372*n**3*r**2 - n**2 + 105034*n*r**3 - 72*n wrt n.
|
{
"pile_set_name": "DM Mathematics"
}
|
rob of sequence sszd when four letters picked without replacement from {s: 3, z: 2, k: 1, h: 4, b: 1, d: 1}.
1/990
Two letters picked without replacement from sqqysskkkkekkyqy. What is prob of sequence yq?
3/80
What is prob of sequence jjl when three letters picked without replacement from xxxljxujug?
1/360
What is prob of sequence ccww when four letters picked without replacement from wwwcwc?
1/15
Two letters picked without replacement from retpz. What is prob of sequence er?
1/20
Calculate prob of sequence gggg when four letters picked without replacement from {e: 7, g: 12}.
165/1292
Four letters picked without replacement from hshsyyhyyshh. What is prob of sequence yssy?
1/165
What is prob of sequence bbh when three letters picked without replacement from {b: 2, h: 6}?
1/28
Two letters picked without replacement from upuppebuuueubenzue. What is prob of sequence zb?
1/153
What is prob of sequence hnnn when four letters picked without replacement from nhnn?
1/4
What is prob of sequence ig when two letters picked without replacement from kfvkgik?
1/42
Two letters picked without replacement from jxxinvrj. Give prob of sequence rn.
1/56
Calculate prob of sequence ld when two letters picked without replacement from uldldluull.
1/9
What is prob of sequence ig when two letters picked without replacement from gukuimsm?
1/56
Three letters picked without replacement from {y: 3, l: 3, t: 1, a: 5, i: 1}. What is prob of sequence yya?
5/286
Three letters picked without replacement from ppvclpvppvpuvpupvc. What is prob of sequence ucc?
1/1224
Two letters picked without replacement from vfybj. Give prob of sequence jy.
1/20
Four letters picked without replacement from gggggcgccgcggggcggg. What is prob of sequence ccgg?
455/11628
What is prob of sequence rrw when three letters picked without replacement from ssswrwswwsrws?
5/858
Three letters picked without replacement from owpxf. What is prob of sequence xof?
1/60
Two letters picked without replacement from eidiidneiidi. Give prob of sequence di.
3/22
Two letters picked without replacement from mmmmmmmmmmccmmmmcm. Give prob of sequence mc.
5/34
What is prob of sequence vvvv when four letters picked without replacement from {v: 7}?
1
What is prob of sequence iyyh when four letters picked without replacement from iyyhhhhihhhhyhhhhyy?
5/969
Two letters picked without replacement from ldskdlulscd. Give prob of sequence ds.
3/55
Calculate prob of sequence qi when two letters picked without replacement from {y: 2, q: 1, r: 1, k: 1, i: 1, z: 1}.
1/42
Three letters picked without replacement from bbbbbb. What is prob of sequence bbb?
1
Calculate prob of sequence uuee when four letters picked without replacement from {e: 4, u: 14}.
91/3060
Calculate prob of sequence trt when three letters picked without replacement from fttrtrrtf.
1/14
What is prob of sequence rrqr when four letters picked without replacement from {r: 8, q: 5}?
14/143
Three letters picked without replacement from smdddddddddddusvuldm. Give prob of sequence uld.
1/285
Calculate prob of sequence ttpt when four letters picked without replacement from {t: 8, u: 1, r: 7, j: 2, p: 1}.
7/1938
Four letters picked without replacement from woyzobodzdob. Give prob of sequence woyz.
1/1485
Calculate prob of sequence mo when two letters picked without replacement from {j: 1, o: 1, m: 1}.
1/6
Calculate prob of sequence lv when two letters picked without replacement from qvvl.
1/6
Three letters picked without replacement from {p: 12, o: 7}. Give prob of sequence ppp.
220/969
Calculate prob of sequence ra when two letters picked without replacement from ygjargyggg.
1/90
Calculate prob of sequence hhnn when four letters picked without replacement from qeenqhhqvhhnqse.
1/1365
Four letters picked without replacement from wwicizccfccwqciccc. Give prob of sequence wzcc.
1/340
Three letters picked without replacement from {c: 1, l: 2, r: 3, k: 1}. Give prob of sequence rkr.
1/35
Calculate prob of sequence ejoy when four letters picked without replacement from ynjeoyy.
1/280
What is prob of sequence qd when two letters picked without replacement from qkuajdqdj?
1/18
Two letters picked without replacement from guummtutgurutrttmu. Give prob of sequence ur.
2/51
Three letters picked without replacement from qohqq. What is prob of sequence qho?
1/20
Three letters picked without replacement from {m: 15, l: 2, y: 3}. What is prob of sequence lmm?
7/114
What is prob of sequence ki when two letters picked without replacement from ikkuufuut?
1/36
Four letters picked without replacement from {d: 10, j: 4}. Give prob of sequence jdjd.
45/1001
What is prob of sequence hhee when four letters picked without replacement from heeeeheee?
1/36
Three letters picked without replacement from {o: 2, w: 1, h: 9, p: 4, s: 1}. Give prob of sequence ohs.
3/680
What is prob of sequence goef when four letters picked without replacement from eyfgo?
1/120
Two letters picked without replacement from oaaadagaaaaag. Give prob of sequence ao.
3/52
Three letters picked without replacement from {q: 1, k: 17, v: 1}. Give prob of sequence vkk.
8/171
What is prob of sequence so when two letters picked without replacement from sbubqbssuuobsusu?
1/48
Two letters picked without replacement from zuzkukkuk. Give prob of sequence uu.
1/12
Calculate prob of sequence cc when two letters picked without replacement from ttcrctcrtccr.
5/33
Calculate prob of sequence dv when two letters picked without replacement from {v: 7, d: 2, h: 1}.
7/45
Calculate prob of sequence azbb when four letters picked without replacement from {a: 1, b: 2, n: 4, z: 3}.
1/840
Three letters picked without replacement from {t: 2, p: 5, r: 2, z: 2, v: 2, x: 5}. What is prob of sequence vzz?
1/1224
What is prob of sequence aijz when four letters picked without replacement from qaiqzsqqjqqqsqj?
1/16380
Two letters picked without replacement from wvvvvwmmvzvvvvzvwvwv. Give prob of sequence vm.
6/95
Four letters picked without replacement from pxucpppppvvpxp. Give prob of sequence ppxx.
2/429
What is prob of sequence ooe when three letters picked without replacement from ooooooeoeooeeooeooo?
455/2907
What is prob of sequence sxsx when four letters picked without replacement from {l: 6, k: 1, w: 2, s: 2, t: 1, x: 3}?
1/2730
Calculate prob of sequence yyyy when four letters picked without replacement from yyyyyyy.
1
Three letters picked without replacement from {i: 8, m: 1, j: 2, b: 4, z: 2, w: 2}. What is prob of sequence bwb?
4/969
Two letters picked without replacement from qllaqa. What is prob of sequence ql?
2/15
Two letters picked without replacement from yyzyyz. Give prob of sequence zy.
4/15
Three letters picked without replacement from bnynywbwntrbrbnbrrb. What is prob of sequence byt?
2/969
Two letters picked without replacement from ppvppv. Give prob of sequence vv.
1/15
What is prob of sequence liiz when four letters picked without replacement from izilzmlmzlzzzmziiil?
35/5814
Two letters picked without replacement from vxrrrfrvs. Give prob of sequence rv.
1/9
What is prob of sequence cc when two letters picked without replacement from {c: 5}?
1
Three letters picked without replacement from vvqaxaxaaqvaaxaav. What is prob of sequence xxa?
1/85
Three letters picked without replacement from {v: 1, y: 1, k: 1, n: 2}. Give prob of sequence yvn.
1/30
What is prob of sequence bt when two letters picked without replacement from {b: 10, t: 10}?
5/19
Three letters picked without replacement from lnfnffnafbfnffln. Give prob of sequence aln.
1/336
Two letters picked without replacement from eebj. Give prob of sequence ej.
1/6
What is prob of sequence wsss when four letters picked without replacement from {w: 4, s: 3}?
1/35
Calculate prob of sequence ma when two letters picked without replacement from {m: 10, a: 2}.
5/33
Four letters picked without replacement from fbyybcyfbn. Give prob of sequence cfny.
1/840
Calculate prob of sequence ixbx when four letters picked without replacement from {b: 11, x: 1, p: 4, i: 2, u: 1}.
0
What is prob of sequence cwc when three letters picked without replacement from {c: 2, w: 2}?
1/6
Two letters picked without replacement from xzppxxxpxpp. Give prob of sequence zp.
1/22
Two letters picked without replacement
|
{
"pile_set_name": "DM Mathematics"
}
|
comes next: -23778, -23528, -23276, -23022, -22766, -22508, -22248?
-21986
What is next in -13913, -13966, -14031, -14114, -14221?
-14358
What is next in 358359, 358341, 358313, 358269, 358203?
358109
What is next in -39757159, -39757161, -39757163, -39757165, -39757167, -39757169?
-39757171
What comes next: 7422, 16890, 26360, 35832, 45306, 54782?
64260
What is the next term in -26250370, -26250369, -26250368, -26250367, -26250366, -26250365?
-26250364
What is next in -13198, -23456, -33714, -43972?
-54230
What is the next term in 661, 713, 841, 1039, 1301, 1621, 1993, 2411?
2869
What is next in -2219, -490, 1261, 3046, 4877, 6766?
8725
What is the next term in -807107, -807104, -807099, -807092?
-807083
What is next in 174348, 174348, 174350, 174354, 174360?
174368
What comes next: -39566799, -79133603, -118700407, -158267211?
-197834015
What is next in 3146104, 3146114, 3146130, 3146152, 3146180, 3146214, 3146254?
3146300
What is next in -8603, -20191, -31781, -43373, -54967, -66563?
-78161
What is the next term in 23901720, 47803438, 71705156?
95606874
What is the next term in -471, -1180, -2109, -3264, -4651?
-6276
What is next in 335155, 335150, 335145?
335140
What comes next: -39060, -78111, -117166, -156231, -195312, -234415, -273546?
-312711
What comes next: -67857, -67856, -67853, -67848?
-67841
What comes next: 468525, 468520, 468515?
468510
What is the next term in -5420, -5808, -6454, -7358?
-8520
What is next in -16684, -34047, -51410, -68773, -86136, -103499?
-120862
What comes next: 6072062, 12144136, 18216222, 24288326, 30360454, 36432612, 42504806?
48577042
What comes next: 652, 3369, 8146, 14983, 23880, 34837, 47854?
62931
What is next in -2670, -2681, -2724, -2817, -2978, -3225, -3576?
-4049
What comes next: -20941196, -41882325, -62823452, -83764577, -104705700, -125646821?
-146587940
What comes next: -429469, -858922, -1288375, -1717828?
-2147281
What is the next term in -3899, -5077, -8161, -14069, -23719, -38029, -57917?
-84301
What is the next term in -102950, -411777, -926484, -1647071, -2573538?
-3705885
What is next in -66602, -528750, -1781996, -4221890, -8243982, -14243822, -22616960?
-33758946
What is the next term in -212486, -212332, -212076, -211718, -211258, -210696, -210032?
-209266
What is next in 1621, 6744, 15367, 27490, 43113, 62236, 84859?
110982
What is next in -323, -1005, -1837, -2819, -3951, -5233, -6665?
-8247
What is next in 1482737, 2965493, 4448255, 5931017, 7413773, 8896517, 10379243?
11861945
What is next in 21003, 43542, 66081?
88620
What is next in 1556, 13066, 44322, 105200, 205576, 355326, 564326?
842452
What comes next: -130940, -132723, -134506, -136289, -138072?
-139855
What is next in -289730, -289974, -290218, -290462?
-290706
What comes next: -27516075, -55032151, -82548227, -110064303, -137580379, -165096455?
-192612531
What is the next term in 19382, 20326, 21270, 22214, 23158?
24102
What is next in 7224, 19367, 36428, 58407, 85304, 117119, 153852?
195503
What comes next: 1569723, 1569517, 1569311, 1569105?
1568899
What is next in 1106320, 1106283, 1106246, 1106209, 1106172, 1106135?
1106098
What comes next: -3357, -6543, -9735, -12933, -16137, -19347, -22563?
-25785
What is next in 1270096, 1270170, 1270244, 1270318, 1270392, 1270466?
1270540
What comes next: -5755, -23314, -52583, -93562?
-146251
What is the next term in 19571, 156838, 529855, 1256636, 2455195, 4243546, 6739703, 10061680?
14327491
What comes next: -643515, -642833, -642151, -641469?
-640787
What is next in -319117, -2552950, -8616209, -20423608, -39889861, -68929682, -109457785?
-163388884
What comes next: -11966, -23856, -35660, -47378, -59010, -70556, -82016?
-93390
What is next in -30361, -243673, -822663, -1950169, -3809029, -6582081, -10452163, -15602113?
-22214769
What is the next term in 4171862, 4171891, 4171920, 4171949?
4171978
What is next in -110004, -219972, -329930, -439878, -549816, -659744, -769662?
-879570
What is the next term in -7984, -16024, -24068, -32116?
-40168
What comes next: -61031611, -61031603, -61031581, -61031539, -61031471, -61031371, -61031233?
-61031051
What is next in 96615635, 193231258, 289846881, 386462504, 483078127, 579693750?
676309373
What is next in -2515342, -5030767, -7546192?
-10061617
What is next in 34658517, 34658516, 34658515, 34658514, 34658513, 34658512?
34658511
What is the next term in 44384, 45102, 45820?
46538
What is the next term in -2778847, -2778670, -2778493, -2778316, -2778139?
-2777962
What is the next term in 1180011, 2360025, 3540039?
4720053
What is the next term in -302586, -302685, -302784, -302883, -302982?
-303081
What comes next: 11546330, 11546335, 11546344, 11546357, 11546374?
11546395
What comes next: -66161, -66178, -66227, -66326, -66493, -66746?
-67103
What comes next: -2075, -1207, 2595, 9331, 19001?
31605
What comes next: 141199, 141180, 141157, 141130, 141099?
141064
What is next in -9161, -8826, -7617, -5096, -825, 5634?
14719
What is next in 822, -2304, -5430, -8556?
-11682
What comes next: 12184, 99996, 338346, 802504, 1567740, 2709324, 4302526, 6422616?
9144864
What comes next: 118517, 237104, 355691?
474278
What is the next term in -8238032, -8238045, -8238060, -8238077?
-8238096
What comes next: -1445390, -1445411, -1445448, -1445507, -1445594?
-1445715
What comes next: -641123, -1282311, -1923497, -2564681?
-3205863
What is next in -16086, -32049, -48012, -63975, -79938?
-95901
What is the next term in 18637, 20072, 21507, 22942, 24377?
25812
What is next in -5141, -8370, -11599, -14828, -18057?
-21286
What comes next: -14673041, -29346088, -44019135, -58692182?
-73365229
What is next in -62954, -126067, -189326, -252731, -316282, -379979?
-443822
What is the next term in -16567, -16634, -16805, -17134, -17675, -18482, -19609?
-21110
What is the next term in -16390905, -32781833, -49172761, -65563689, -81954617?
-98345545
What comes next: -3905, -15677, -27449, -39221, -50993?
-62765
What comes next: -40063, -80204, -120345?
-160486
What is next in -41540871, -83081747, -124622623, -166163499, -207704375, -249245251?
-290786127
What is next in -1024, -2294, -3836, -5656, -7760, -10154?
-12844
What is the next term in -2049, -8125, -18253, -32433, -50665, -72949?
-99285
What comes next: -4602, -9207, -13856, -18573, -23382, -28307, -33372?
-38601
What is the next term in -14068, -14439, -14814, -15193, -15576, -15963?
-16354
What is the next term in -15455, -61956, -139505, -248102, -387747, -558440, -760181?
-992970
What is the next term in 2072, 3847, 6800, 10931, 16240?
22727
What comes next: 64294, 128321, 192348, 256375, 320402?
384429
What is the next term in -91813, -367067, -825823, -1468081, -2293841, -3303103, -4495867?
-5872133
What comes next: -186918, -373796, -560674, -747552, -934430, -1121308?
-1308186
What is next in 11267, 16640, 22017, 27398, 32783, 38172, 43565?
48962
What is the next term in 26347976, 26347975, 26347974, 26347973, 26347972, 26347971?
26347970
What is next in 34969, 139875, 314729, 559537, 874305, 1259039, 1713745?
2238429
What is next in 71321, 73675, 76029, 78383?
80737
What is next in -1791, -3786, -5799, -7830, -9879?
-11946
What comes next: 1083, 8707, 29435, 69825, 136435?
235823
What comes next: -47410276, -94820556, -142230838, -189641122?
-237051408
What comes next: 2349500, 4698998, 7048508, 9398036, 11747588?
14097170
What is the next term in -1998359, -7993430, -17985215, -31973714, -49958927, -71940854?
-97919495
What comes next: -66515, -110558, -154601, -198644?
-242687
What is the next term in -3965, -6452, -8939, -11426, -13913?
-16400
What comes next: -4232418, -8464864, -12697310, -16929756?
-21162202
What is the next term in -727, -5376, -17887, -42184, -82191, -141832, -225031?
-335712
What is next in -7118, -8823, -10516, -12197, -13866, -15523?
-17168
What comes next: -606, -2484, -5630, -10038, -15702, -22616, -30774?
-40170
What is the next term in 2891, 11540, 25935, 46076, 71963, 103596?
140975
What comes next: -53653482, -107306963, -160960456, -214613967, -268267502, -321921067?
-375574668
What is next in 22900349, 22900348, 22900347, 22900346, 22900345?
22900344
What comes next: -85, 112, 805, 2270, 4783?
8620
What is the next term in 32404455, 64808864, 972
|
{
"pile_set_name": "DM Mathematics"
}
|
derivative of -586*t**3*x**2 - 142*t**3 + t**2 - t*x**4 - 3*x wrt x.
-1172*t**3 - 12*t*x**2
Find the third derivative of 5*a**2*c*q**3 - a**2*c*q - 2*a**2*q**4 - a*q**2 + 24*c*q**2 - q**4 + q**2 wrt q.
30*a**2*c - 48*a**2*q - 24*q
Find the first derivative of -27*q**3 + 3*q - 785 wrt q.
-81*q**2 + 3
Differentiate 2435*q + 14847 wrt q.
2435
What is the third derivative of 2125*d**3*w**2*z + d**2*z + d*w**2*z - 203*d*w*z wrt d?
12750*w**2*z
Find the second derivative of -4172*j**2 - 3278*j + 1.
-8344
What is the third derivative of 4585*h*o**3 - 139*h*o**2 - 4*h + o**3 wrt o?
27510*h + 6
Find the second derivative of 3*d**2*x + 36*d**2 - 9*d*x - 3*d + 2 wrt d.
6*x + 72
Find the second derivative of -22*z**4 + 4*z**3 + 400*z.
-264*z**2 + 24*z
What is the third derivative of -2*q**4 - 329*q**3 - 13*q**2 - 35 wrt q?
-48*q - 1974
What is the third derivative of -180*g*j**3 - 12*g*j**2 - 5*j wrt j?
-1080*g
Find the first derivative of 179*s - 113.
179
What is the second derivative of 1112*c**2 - 3*c + 2908?
2224
What is the third derivative of 2552*m**6 + 4*m**2 - 200*m wrt m?
306240*m**3
Find the third derivative of n*t**6 + 2*n*t**4 - 30*n*t**2 - 160*t**3 - 8*t**2 wrt t.
120*n*t**3 + 48*n*t - 960
Find the third derivative of -3*a**3*t**3*v**2 - 210*a**3*v**3 - a**2*t**3 + a*t**3 - 18*a*t*v**3 + 2*t**2*v**3 wrt a.
-18*t**3*v**2 - 1260*v**3
What is the derivative of d**2 + 442*d - 2619?
2*d + 442
Find the first derivative of 346*q**3 - 639.
1038*q**2
Find the second derivative of 603*k**4*v**2 - 2*k**3*v**3 - 5*k*v**3 + 61*k*v**2 wrt k.
7236*k**2*v**2 - 12*k*v**3
What is the third derivative of 40*c**5 + c**3*v**2 + 20*c**3 - c**2*v**2 + 2*c**2*v + 35*c*v**2 - 2*c wrt c?
2400*c**2 + 6*v**2 + 120
Find the third derivative of 34*k*o**3*y**3 + 2*k*o**3*y - 3*k*o**2*y**2 - 3*k*o*y**3 - 19*k*y**3 - 2*o**2*y wrt o.
204*k*y**3 + 12*k*y
What is the second derivative of -1450*d**3*s**2 - 2*d**3*s - 102*d**2*s + 2*s wrt s?
-2900*d**3
What is the second derivative of -11*p**3*x*y**2 + 3*p**3*x - 2*p**3 - p**2*y - 16*p*y - 2*x*y**2 + 2*y**3 wrt y?
-22*p**3*x - 4*x + 12*y
Find the first derivative of -2555*h**2 + 1122.
-5110*h
What is the second derivative of -f*j*z + 16*f*o**2*z + 30*f*o*z**2 - 9*j**2*o*z - 6*j**2*z**2 - 4*j*o**2*z**2 wrt z?
60*f*o - 12*j**2 - 8*j*o**2
What is the second derivative of 4*i**3 - 2*i**2 + 285*i wrt i?
24*i - 4
Differentiate 319*b**4 - 2*b**2 - 174 with respect to b.
1276*b**3 - 4*b
What is the third derivative of 514*t**4 + 635*t**2?
12336*t
What is the third derivative of 34*a**3*y + 3*a**2*y + 5*y wrt a?
204*y
Find the third derivative of -842*f**4*v + 2146*f**2*v wrt f.
-20208*f*v
What is the derivative of 1687*m**3 - 1392 wrt m?
5061*m**2
Find the second derivative of -1911*n**2 - 2*n - 9453.
-3822
What is the third derivative of -703*p**5 - 2*p**4 - 2535*p**2?
-42180*p**2 - 48*p
Find the second derivative of -9*g**2*n*o*x**3 - 70*g**2*o**2*x**3 + 3*g**2*x - g*o*x**3 - n*o**2*x**3 + 2*n*x**3 wrt o.
-140*g**2*x**3 - 2*n*x**3
What is the third derivative of 5050*s**4 + 1154*s**2 wrt s?
121200*s
Differentiate -36*f*h**3*s - 2*f*s + 2*f - 2*h**3*s + 5262*h**3 - s wrt s.
-36*f*h**3 - 2*f - 2*h**3 - 1
Find the third derivative of -1277*g**6 + 3*g**4 + 189*g**2 + g - 2 wrt g.
-153240*g**3 + 72*g
Find the third derivative of -10150*j**6 - 18*j**2 - j + 3.
-1218000*j**3
Differentiate 3*r*x**2 + 18*r*x - 3*r - 3*x**2 + 2*x - 1 with respect to x.
6*r*x + 18*r - 6*x + 2
What is the second derivative of 600*p**5 - 2*p**3 + 89*p + 2 wrt p?
12000*p**3 - 12*p
What is the third derivative of -308*q**4 - q**3 - 43*q**2 + 9?
-7392*q - 6
What is the third derivative of 3*n**5*w**3 + 4*n**3*w - 3*n**2*w + n*w**3 - 14*w**3 wrt n?
180*n**2*w**3 + 24*w
What is the first derivative of -4*d**3 + 7*d**2 + 27*d + 5577 wrt d?
-12*d**2 + 14*d + 27
What is the first derivative of -3*y**2 + 69*y + 124?
-6*y + 69
Differentiate -636*j**2*r + 3597*j**2 wrt r.
-636*j**2
Differentiate -2*j**4 - 678*j*p + 104*p + 6 wrt j.
-8*j**3 - 678*p
Differentiate -2*d**4*s - 3*d*s + 3*d + 88*s wrt d.
-8*d**3*s - 3*s + 3
Find the first derivative of -11*b**3 - b**2*d**2 - 5*b*f + d**2 + 3*f wrt b.
-33*b**2 - 2*b*d**2 - 5*f
Find the third derivative of 3*p**6*w - 10*p**4*w**2 - 82*p**2 - 2*p*w**2 wrt p.
360*p**3*w - 240*p*w**2
Find the second derivative of -135*n**5*z - 13*n**3*z**3 + 1178*n*z**3 + n*z + 2 wrt n.
-2700*n**3*z - 78*n*z**3
Find the third derivative of 7*c**4 + 188*c**3 + 480*c**2 + 4*c.
168*c + 1128
What is the derivative of 116*o**4 + 3*o + 267?
464*o**3 + 3
What is the first derivative of 2*a**4 + 11*a**2 + 29 wrt a?
8*a**3 + 22*a
What is the third derivative of -3*s**6 + 35*s**3 + 14*s**2?
-360*s**3 + 210
Find the first derivative of 972*d**3*l + 2321*d**3 wrt l.
972*d**3
Differentiate -158*m*q - 2*q - 14 with respect to m.
-158*q
Find the first derivative of r**2 + 828*r + 5980 wrt r.
2*r + 828
Find the third derivative of 453*q**6 - 2*q**4 - q**2 - 130*q.
54360*q**3 - 48*q
What is the third derivative of -15765*d**6 + 3*d**2 + 203?
-1891800*d**3
Find the third derivative of 388*o**5 + 4*o**2 + 44*o wrt o.
23280*o**2
Differentiate -22*h**4 + 4*h**2 + 117 with respect to h.
-88*h**3 + 8*h
What is the third derivative of 2*u**6 - 298*u**4 - 10*u**2 + 6 wrt u?
240*u**3 - 7152*u
What is the third derivative of -3*j**4*n*w - 5*j**4*n - 2*j**4*w - 69*j**2*n - j*n*w - j*w wrt j?
-72*j*n*w - 120*j*n - 48*j*w
Differentiate -97*g**2*j**2 + 2*g**2*s + g*j**2*s**2 - 36*g*s**2 + 10*g*s + 4*j*s wrt j.
-194*g**2*j + 2*g*j*s**2 + 4*s
Differentiate -176*l**4 - 3*l**3 - 552 with respect to l.
-704*l**3 - 9*l**2
What is the second derivative of 88*i**4*x**2 - 2*i**2*x**2 - 12*i + 2*x**2 - 23 wrt i?
1056*i**2*x**2 - 4*x**2
Find the second derivative of -5*g**3*n*o + 7*g**3*o**2 + 2*g*n*o**2 - g*o + 3*n*o - 8*o**2 wrt o.
14*g**3 + 4*g*n - 16
Find the second derivative of -2*x**5 + 1725*x**2 - 2*x + 568 wrt x.
-40*x**3 + 3450
What is the third derivative of -1638*b*n**4 + b*n**2 + b*n - 89*n wrt n?
-39312*b*n
What is the third derivative of -231*g*t*w**3 - 140*g*t*w**2 - g*w**2 + 2*t*w wrt w?
-1386*g*t
What is the first derivative of 2*f*h**3 + 2*f*h**2 + 12*f*h*l + 150*h**3*l + 2*h**3 + 2 wrt l?
12*f*h + 150*h**3
What is the second derivative of 209*a*l**3 + a*l - 3*a + 521 wrt l?
1254*a*l
What is the second derivative of -1475*o**2 + 2055*o + 1?
-2950
What is the third derivative of -2350*f**5 + 235*f**2 + 4*f wrt f?
-141000*f**2
What is the second derivative of -6*i**2*m**3*s**2 + 2*i**2*m**3*s - 5*i**2 + 7*i*m**3*s**2 - 2*i*m**2*s + 3*m**2*s**2 wrt i?
-12*m**3*s**2 + 4*m**3*s - 10
What is the derivative of -143*n**3 + 2887?
-429*n**2
What is the first derivative of -v**4 - 729*v**2 + 1500?
-4*v**3 - 1458*v
Find the first derivative of 3*g**2*s*x - 4182*g**2*s + 17*g**2*x - 4*g*x + s + 2*x wrt x.
3*g**2*s + 17*g**2 - 4*g + 2
What is the second derivative of 5068*r**3 + 911*r?
30408*r
Find the third derivative of f**4*j**3 - 1529*f**3*j**3 - 4*f**2*j**3 - 2*f**2*j**2 + 2*f*j**2 + 134 wrt f.
24*f*j**3 - 9174*j**3
What is the third derivative of 373*s**6 + 536*s**2 - 2*s wrt s?
44760*s**3
Find the third derivative of g**4*h - 163*g**4*n**3 - 4*g**4*n + 4*g**2*h*n**3 - 2*g**2*n - g*h*n - 4*g*n**3 + 2*g*n wrt g.
24*g*h - 3912*g*n**3 - 96*g*n
Find the first derivative of -489*d**2*p**3 + d*p**3 + 7*d*p + 31025*p**3 wrt d.
-978*d*p**3 + p**3 + 7*p
What is the third derivative of -9173*l**3 - 2132*l**2 wrt l?
-55038
What is the first derivative of -143*s**2 + 8*s - 1765 wrt s?
-286*s + 8
What is the derivative of -r**3*x**3 + 15*r**2*x - r*x**3 - 2*x**3 + 43 wrt r?
-3*r**2*x**3 + 30*r*x - x**3
Find the second derivative of t**3*u**2 - 82*t**3 - 5*t*u**2 + 3*t*u + 3*t wrt t.
6*t*u**2 - 492*t
What is the first derivative of -898*p**4 - 2*p**2 - 1002 wrt p?
-3592*p**3 - 4*p
Find the second derivative of 538*w**5 - 60*w + 5.
10760*w**3
Differentiate -499*i - 20 with respect to i.
-499
Find the third derivative of -473*a**5 + 3*a**4 - 4910*a**2 wrt a.
-28380*a**2 + 72*a
What is the second derivative of -2789*y**2 + 1585*y wrt y?
-5578
What is the second derivative of 466*s**2 - 617*s?
932
What is the first derivative of -1792*j**3*l**2 + 4*j**3 - 2*j**2*l**3 - 9 wrt l?
-3584*j**3*l - 6*
|
{
"pile_set_name": "DM Mathematics"
}
|
1 and g?
11
Let b(v) = -17*v - 33. Let f(l) = -48*l - 99. Let c(i) = 17*b(i) - 6*f(i). Let j be c(9). Calculate the highest common divisor of j and 372.
12
Let w(d) = -2*d**2 + 90*d - 391. Let j be w(5). What is the highest common factor of 1467 and j?
9
Let j = 81 + 259. Suppose 2*c + c - 6 = 0, -3*z = 5*c - j. What is the highest common factor of z and 55?
55
Let b(y) = 8*y + 140 - 9*y - y + 4*y - y**2. Let l be b(12). What is the highest common divisor of l and 1340?
20
Let d = -3070 + 4990. What is the greatest common divisor of 660 and d?
60
Let z = -4293 - -4349. Suppose -q + 96 = 26. What is the greatest common factor of z and q?
14
Let o = 14 + -1. Let z(f) = 2*f**2 + 25*f - 12. Let g be (585/(-10))/(-9)*-2. Let x be z(g). What is the highest common factor of o and x?
1
Suppose -2*b - 3*n = -3237, -27*b + n = -24*b - 4861. What is the highest common divisor of 20 and b?
20
Let b = 228 - 144. Suppose 63*c - 15*c = -26*c + 1776. What is the highest common divisor of b and c?
12
Let y(h) = -10*h - 9. Let n be y(-2). Suppose -c + 42 = 5*b, n*b - 7*b - 48 = 4*c. Let w be 0 + -1 + 2*23. What is the greatest common factor of b and w?
9
Let k(h) = h**2 + 7*h + 25. Let x be k(-4). Suppose 8*r - x = 7*r. Suppose -5*v + 87 = -r. Calculate the highest common factor of v and 8.
4
Suppose 4*y = -46 + 70. Let j(v) = -9*v + 9. Let k be j(5). Let r be (k/90)/(2/20) + 43. What is the highest common divisor of y and r?
3
Suppose 885 = -90*g - 388 - 257. Let k(w) = 23*w - 3. Let h be k(3). Let l = h + g. What is the highest common factor of 7 and l?
7
Suppose 7*g + 379 = 92. Let o = -49 - g. Let u(k) = -k**2 - 7*k + 32. Let c be u(o). Calculate the highest common factor of 6 and c.
6
Suppose 26*l - 53 - 233 = 0. Let b be 82/6*(l - -10). Calculate the greatest common divisor of b and 41.
41
Suppose -58*i - 102*i + 2560 = 0. Let a = 430 - 134. Calculate the highest common divisor of a and i.
8
Suppose 7*j - 10*j = t - 18, 0 = -2*t - 6. Suppose 9*h = j*h + 1666. What is the highest common divisor of 49 and h?
49
Let t be (-26 - -12)*(-39)/(-2). Let y be ((-10)/2)/(39/t). Calculate the greatest common factor of y and 245.
35
Let y be 2 + (-33)/17 + (-7620)/(-510). Let z be (84/(-35))/(1/(-5)). Calculate the greatest common divisor of y and z.
3
Suppose 4*i = 9*y - 3634, -62*i + 832 = 2*y - 58*i. Calculate the highest common divisor of 2 and y.
2
Let v be 2/(-2) + -1 + 86. Suppose -36*f - 4*a - 48 = -41*f, -2*f - 2*a = -30. What is the greatest common factor of v and f?
12
Let y(q) be the second derivative of -q**4/12 + 5*q**3/3 - 21*q**2/2 - 77*q. Let k be y(5). Let i = -42 - -74. Calculate the highest common divisor of i and k.
4
Let s(v) = 4*v**2 + 10. Let g be (0*(4/12 + 0))/(-2). Suppose 5*u + 1 + 24 = g. Let x be s(u). Calculate the greatest common divisor of 10 and x.
10
Let x = 7606 + -7390. Calculate the highest common divisor of 152 and x.
8
Suppose 54*d + 207 = 63*d. Let s be (-2)/(-8) + 206/8. Suppose -s = j - 95. What is the greatest common divisor of j and d?
23
Suppose 0*f = 2*f - 4. Let d be (4 + -5)/(3/(-240)). Suppose -4*x + 6*i = f*i - d, -5*x + 109 = 4*i. What is the highest common factor of x and 147?
21
Suppose 2*m + 3*m - 213 = -4*o, 3*m - 5*o = 150. What is the greatest common divisor of m and 2505?
15
Let r(d) = d**3 - 7*d**2 - d + 44. Let q be r(6). Suppose q*s - k = 810, -7*s + 2*s = 3*k - 2003. What is the greatest common divisor of s and 26?
13
Let d be (-9)/(-2)*-1*(905/(-15) + -1). Calculate the greatest common factor of d and 27876.
276
Let k = -22123 - -22181. What is the highest common divisor of k and 182?
2
Suppose -6*u + 152 = -172. Suppose 4*f - u = -k + f, f = k - 46. Suppose 84 = 5*d - 0*d + 2*o, 2*d = 4*o + k. What is the greatest common factor of d and 18?
18
Suppose 98*o = 226*o - 1822336. Calculate the greatest common factor of o and 23.
23
Let w = -3851 + 7049. Let z be w/14 - 21/49. Let s = -1714 + 1752. What is the highest common divisor of z and s?
38
Suppose 0*t = 2*t + 4. Let n = 19 - t. Let f(j) = j**3 - 3*j**2 + 7*j. Let o be f(3). Calculate the greatest common divisor of n and o.
21
Suppose 3*u = 2*i + 1548, 1625 = -4*i - 5*u - 1493. Let f = i + 1583. What is the highest common factor of 26 and f?
26
Suppose 25 = 8*v - 111. Suppose -28 = 5*z - 3, -3*z = -g + 66. What is the greatest common divisor of v and g?
17
Let y be (2 + 1 - -2) + 2/1. Let z be 2 + (y - 9) - -33*1. Suppose j - 81 + z = 0. Calculate the greatest common divisor of j and 120.
24
Let f = 427 + -299. Suppose 4*j + k = 172, -87 = -5*j - 5*k + f. What is the greatest common factor of j and 645?
43
Let u = 405 + -284. Suppose -4*g = -u + 5. Let k(p) = 4*p**2 + 8*p - 31. Let d be k(3). Calculate the greatest common factor of d and g.
29
Suppose 2*o + 3*c - 34 = 0, -2*o + 9 = -5*c - 9. Let p be (-24)/9*(-1020)/40. Suppose 0 = -79*g + p*g + 1232. What is the highest common factor of g and o?
14
Let y = 1350 - 1098. What is the greatest common divisor of 666 and y?
18
Let g(q) = 325*q - 1419. Let b be g(5). Calculate the greatest common factor of 3193 and b.
103
Let a = -16616 - -18425. What is the highest common divisor of a and 402?
201
Let a be (152/(-32) + 5)*-4*(-367 + 3). What is the greatest common factor of 39 and a?
13
Let c(i) = -4426 + 4456 + 4*i + 13*i + i**2. Let l be c(-17). Suppose 5*o = -3*q + 35, -4*o = 2*q - 6 - 18. What is the greatest common divisor of l and q?
10
Let o = 141 + -37. Suppose 19*q - 167 = 581 + 981. Calculate the greatest common factor of o and q.
13
Let v(w) = w**3 + 3*w**2 + 18*w + 94. Let q be v(-4). What is the greatest common factor of 202 and q?
2
Let h be 6 + -16 + (15 - -157). What is the greatest common factor of 5913 and h?
81
Let n = -352 + 89. Let y = n + 130. Let d = y + 189. What is the greatest common divisor of d and 84?
28
Let u(x) = -x**3 - 6*x**2 + x + 32. Let q be u(-5). What is the highest common divisor of q and 58?
2
Let h be 0 + -1 + 1*(3 - 7). Let d be (-5 - 2796/20)*h. Suppose 100 = -8*z + d. Calculate the highest common divisor of z and 6.
6
Let s = 5650 + -5602. Calculate the highest common divisor of 648 and s.
24
Let f = -832 + 278. Let s = f - -587. What is the greatest common divisor of 3 and s?
3
Suppose -7*l + 720 = -5*l. Let j = -974 - -1054. Calculate the greatest common divisor of l and j.
40
Let x(l) = l**3 + 33*l**2 - 39*l - 26. Let y be x(-31). Calculate the greatest common factor of 54 and y.
27
Let w be (108/(-192))/((-6)/(-8))*-148. What is the highest common divisor of 23754 and w?
111
Let u be (-157 - (2 + -29))*345/(-2). Calculate the highest common factor of 23 and u.
23
Suppose -2286 = -9*t + 5553. What is the greatest common divisor of 268 and t?
67
Let v be (1 + -2)/((-52)/6344). Suppose v = -3*i + 4*x + 155, 4*i + x - 44 = 0. What is the highest common factor of i and 9?
1
Suppose w + 963 = 5*s - 7097, -2*w - 6448 = -4*s. Calculate the highest common divisor of s and 39.
13
Let n = -5556 - -12050. What is the greatest common divisor of n and 68?
34
Let z = -1574 - -1577. Let i = 24 + -17. Calculate the greatest common factor of z and i.
1
Suppose -8*h = -9*h - 4*t + 20, -3*h = 5*t - 88. What is the highest common divisor of h and 9684?
36
Let d be 57/(((-15)/35)/(-1)). Suppose -143*n + d*n = -1870. What is the highest common factor of 17 and n?
17
Suppose -3*h + 5 - 53 = -5*m, -3*h = -4*m + 36. Let t(j) = 180*j - 75*j - 87*j. Let v be t(2). Calculate the highest common factor of m and v.
12
Suppose 58*s + 1446 = 61*s. Let z = s + -405. What is the greatest common factor of 28 and z?
7
Let s = -30 - -36. Let u = 1046 + -1041. Calculate the highest common factor of s and u.
1
Let f be 5745 - (-1 + (-6 - -1) + 1). What is the highest common factor of 46 and f?
46
Let u(j) = -1692*j + 24. Let z be u(-2). Suppose -14*v + z = 2*v. What is the highest common factor of 142 and v?
71
Suppose -35 = 5*h, 47*z - 5*h - 700 = 42*z. Calculate the highest common factor of 24073 and z.
133
Let u(d) = 2*d**2 + 19*d - 5. Let a be u(-10). Suppose 47*s - a = 46*s. What is the greatest common divisor of 25 and s?
5
Suppose -45*i + 7*i + 17792 = 5290. What is the greatest common factor of 611 and i?
47
Let t be 107/(-7) - 1/21*-6. Let c be (1 - (-21)/t) + (-32)/(-5). Suppose -c*u +
|
{
"pile_set_name": "DM Mathematics"
}
|
4 divided by -14.
-212/7
-3938 divided by 22
-179
Divide 42498 by 1.
42498
-60 divided by -5
12
Calculate -1394 divided by 2.
-697
What is -798 divided by -19?
42
Calculate 527 divided by 1.
527
Calculate 15582 divided by -371.
-42
-48 divided by -4
12
Calculate -100 divided by -25.
4
Divide -2 by -235.
2/235
Divide -5 by 658.
-5/658
Calculate 863 divided by -1.
-863
What is 52 divided by 13?
4
Calculate -170 divided by -1.
170
Divide -9 by 95.
-9/95
Divide 214 by 2.
107
-26 divided by -50
13/25
415 divided by 5
83
Calculate -672 divided by -4.
168
Divide 90 by -90.
-1
Divide 1516 by 3.
1516/3
What is 41 divided by -134?
-41/134
1830 divided by 6
305
700 divided by -140
-5
4123 divided by 19
217
Divide 4 by -35.
-4/35
Calculate -100 divided by -18.
50/9
Divide 8 by 59.
8/59
-63 divided by -7
9
Calculate 2 divided by 495.
2/495
What is -5328 divided by 48?
-111
What is 23 divided by -680?
-23/680
-4 divided by 89
-4/89
1428 divided by 7
204
What is -4 divided by -1774?
2/887
What is -612 divided by -6?
102
Calculate 64 divided by 64.
1
Calculate -135 divided by 45.
-3
Calculate -28 divided by -28.
1
Calculate -5 divided by -28.
5/28
26 divided by -2
-13
Calculate 8402 divided by -1.
-8402
Calculate -1216 divided by -304.
4
Divide 2 by 3165.
2/3165
Calculate -21 divided by -8.
21/8
Divide -255 by -5.
51
Divide 1862 by 19.
98
-3 divided by 103
-3/103
What is 1615 divided by -323?
-5
Divide 5 by -90.
-1/18
-1599 divided by 13
-123
-303 divided by -4
303/4
Divide 4 by -974.
-2/487
Calculate -250 divided by -50.
5
Divide 2484 by 2.
1242
Calculate 1 divided by -38.
-1/38
What is 2646 divided by -126?
-21
-40 divided by 40
-1
What is -81 divided by 1?
-81
What is 2 divided by 2162?
1/1081
Divide 12 by -4.
-3
Calculate -156 divided by 6.
-26
What is 1374 divided by -2?
-687
What is 3370 divided by -5?
-674
Divide 2 by 697.
2/697
Calculate -1 divided by -1152.
1/1152
What is 142 divided by -5?
-142/5
Calculate -622 divided by -6.
311/3
What is 52250 divided by -5?
-10450
What is 456 divided by -1?
-456
Calculate -77 divided by -11.
7
-2 divided by -265
2/265
What is -529 divided by -23?
23
What is -27 divided by 9?
-3
Divide 1 by -1.
-1
Calculate 297 divided by 3.
99
Divide -288 by 5.
-288/5
Calculate 2600 divided by -65.
-40
3 divided by -61
-3/61
What is 0 divided by -993?
0
Divide 4 by 140.
1/35
Calculate -1837 divided by -6.
1837/6
-752 divided by -8
94
44 divided by 22
2
What is 2436 divided by 1218?
2
Calculate -1164 divided by 3.
-388
Calculate 104 divided by -2.
-52
1722 divided by 287
6
Divide -3984 by 6.
-664
19914 divided by 3319
6
Calculate 2900 divided by -4.
-725
What is -144 divided by -4?
36
Calculate -206 divided by -24.
103/12
Divide 180 by -10.
-18
What is 5 divided by 53?
5/53
346 divided by 2
173
Divide 137 by 2.
137/2
Divide 7506 by -278.
-27
Divide -4 by -47.
4/47
Calculate 1927 divided by -1.
-1927
Divide 12 by -16.
-3/4
What is -6250 divided by -1250?
5
23 divided by -60
-23/60
14 divided by -230
-7/115
What is 6865 divided by 5?
1373
What is 3372 divided by 6?
562
Divide -1 by -25.
1/25
Divide -513 by -57.
9
Divide -5 by 72.
-5/72
-5829 divided by 1943
-3
Divide -5 by -130.
1/26
-79 divided by -1
79
What is 28716 divided by 4786?
6
What is -896 divided by -14?
64
0 divided by 154
0
What is -48 divided by -24?
2
Calculate -84 divided by -21.
4
Divide 154 by 154.
1
Calculate -3 divided by 64.
-3/64
Divide 1440 by 80.
18
What is 19 divided by -7?
-19/7
Divide -45702 by -6.
7617
What is 23 divided by -9?
-23/9
-2100 divided by -35
60
Divide -136 by 34.
-4
What is 2151 divided by 5?
2151/5
-23 divided by 36
-23/36
What is -29 divided by -1?
29
Calculate 100974 divided by -6.
-16829
Divide -91 by 91.
-1
12614 divided by -106
-119
Calculate -45 divided by -5.
9
What is 880 divided by -4?
-220
-5 divided by 36
-5/36
Divide -7730 by -5.
1546
-4896 divided by -72
68
Calculate 3 divided by -1.
-3
Calculate -64 divided by -5.
64/5
What is -766 divided by -12?
383/6
1345 divided by 269
5
Divide -22 by -408.
11/204
191 divided by -7
-191/7
Calculate 5 divided by 5.
1
What is -16815 divided by 3?
-5605
What is 4 divided by 50?
2/25
Divide -6217 by -2.
6217/2
Divide -5 by 2001.
-5/2001
Divide -13 by -1.
13
1032 divided by -1
-1032
What is 1806 divided by 42?
43
-15510 divided by 5170
-3
What is -84 divided by 84?
-1
What is -2 divided by -1570?
1/785
What is 10791 divided by 1199?
9
6 divided by -3
-2
Divide -15969 by 3.
-5323
What is -26680 divided by 115?
-232
What is 438 divided by 146?
3
Divide 114 by 1.
114
726 divided by 1
726
Calculate -6786 divided by 377.
-18
Calculate -3 divided by -71.
3/71
What is -2 divided by 265?
-2/265
What is -6868 divided by 1717?
-4
Divide -6 by -35.
6/35
What is -1680 divided by 105?
-16
Calculate 156 divided by 1.
156
Calculate -875 divided by -5.
175
-2 divided by -2977
2/2977
Divide 0 by -62.
0
-132 divided by -6
22
Divide -635 by 127.
-5
Calculate -23 divided by -6.
23/6
Calculate -2 divided by 2901.
-2/2901
What is 7854 divided by 7?
1122
What is 5 divided by -838?
-5/838
What is 544 divided by 272?
2
Divide -4 by -837.
4/837
-3 divided by -204
1/68
Calculate -9918 divided by -6.
1653
What is -3 divided by 34?
-3/34
1014 divided by 1
1014
Divide 7013 by 1.
7013
Calculate 12 divided by 42.
2/7
Divide -4 by -22.
2/11
Divide 0 by -122.
0
Calculate -66 divided by -2.
33
Calculate -69 divided by 292.
-69/292
Calculate 2112 divided by -6.
-352
-832 divided by 7
-832/7
Divide 0 by -409.
0
Divide 157 by 1.
157
Divide 19548 by -6516.
-3
-390 divided by 78
-5
-240 divided by -3
80
What is 16506 divided by -6?
-2751
0 divided by -38
0
What is 3 divided by 1091?
3/1091
31 divided by 5
31/5
Divide -7708 by -2.
3854
What is 2444 divided by -8?
-611/2
10 divided by -18
-5/9
Divide 5 by 1128.
5/1128
What is -417 divided by 139?
-3
What is -3087 divided by -147?
21
Divide 1513 by -89.
-17
Calculate 301 divided by -13.
-301/13
Calculate 29 divided by -25.
-29/25
-211 divided by -4
211/4
Calculate -32 divided by 3.
-32/3
Divide 2264 by -2.
-1132
Divide -897 by -3.
299
Divide 108 by 12.
9
Divide 681 by -1.
-681
Calculate -6420 divided by 1284.
-5
Calculate -1 divided by 308.
-1/308
What is 82 divided by 1?
82
Divide -986 by -58.
17
What is 1286 divided by 643?
2
Divide 1 by 6077.
1/6077
What is 4 divided by 2120?
1/530
Calculate 5820 divided by 1164.
5
-9723 divided by -7
1389
Divide 4 by 2674.
2/1337
74547 divided by 3
24849
Calculate -48 divided by -3.
16
1782 divided by 99
18
Divide -9 by -23.
9/23
Calculate -25 divided by -6.
25/6
Divide -45428 by 2.
-22714
Calculate -2825 divided by -113.
25
Calculate -1688 divided by -422.
4
Calculate -6165 divided by -5.
1233
Calculate 380 divided by -95.
-4
2 divided by 31
2/31
-29 divided by -18
29/18
What is 5142 divided by -5142?
-1
Divide 4 by 242.
2/121
Calculate -5 divided by 623.
-5/623
Divide 29736 by 6.
4956
1166 divided by -3
-1166/3
Calculate 39 divided by 29.
39/29
830 divided by -5
-166
Calculate -67 divided by -6.
67/6
Divide 31 by -9.
-31/9
What is -1619 divided by -5?
1619/5
What is 2 divided by 83?
2/83
Calculate 235 divided by -2.
-235/2
Calculate -1701 divided by -5.
1701/5
Divide 42 by 15.
14/5
What is 35090 divided by -5?
-7018
Calculate 13 divided by -5.
-13/5
What is 108 divided by 19?
108/19
Calculate -2 divided by -1308.
1/654
Divide -560 by 7.
-80
Divide 1 by 199.
1/199
Divide 255 by 51.
5
2043 divided by -681
-3
What is -42 divided by -14?
3
What is -99 divided by 2?
-99/2
Divide 46 by 46.
1
Divide 462 by 3.
154
Divide 30 by 3.
10
Calculate 2620 divided by 1310.
2
Divide -1 by 459.
-1/459
-524 divided by 2
-262
What is -13 divided by 7?
-13/7
138 divided by 4
69/2
What is 364 divided by 6?
182/3
What is -3404 divided by -4?
851
Calculate 702 divided by -6.
-117
-50 divided by -10
5
Divide -98 by -2.
49
Divide 131 by 5.
131/5
Divide 1 by 17.
1/17
Divide -2 by -563.
2/563
0 divided by 347
0
What is -527 divided by -17?
31
-116 divided by -58
2
Divide 15 by -888.
-5/296
Divide 2428 by 4.
607
Divide -11 by -44.
1/4
What is 74 divided by 2?
37
5465 divided by 5
1093
Divide 4 by -2.
-2
-705 divided by 235
-3
Divide 2 by -22.
-1/11
Calculate -252 divided by 2.
-126
What is -1225 divided by -175?
7
Calculate 1392 divided by 348.
4
What is -15 divided by 303
|
{
"pile_set_name": "DM Mathematics"
}
|
by 13.
12
Suppose 3*o - 33 = -3*w, 2*o = 4*w - 2*w + 42. Calculate the remainder when 62 is divided by o.
14
Let q be 166/10 + (-12)/20. Suppose 2*b - q = 6. Calculate the remainder when 41 is divided by b.
8
Let k = 3 + -1. Calculate the remainder when 5 is divided by k.
1
Let k(v) = -v**2 - 8*v - 4. Let w(s) = -s**2 - 7*s - 1. Let h be w(-8). Let l = -3 - h. What is the remainder when k(-3) is divided by l?
5
Let y(k) = 3*k**2 + 4*k + 2. Let a = 79 - 47. Calculate the remainder when a is divided by y(-3).
15
Let u = 10 - 2. Let w(t) = -t**3 + 8*t**2 - 5*t + 1. Calculate the remainder when w(7) is divided by 3/(-1 - (-11)/u).
7
Suppose 4*s - 4*j = -j - 5, -j = 4*s - 7. Let q(d) = 2*d + d**3 - 3*d - 3*d + 2 - 3*d**2. What is the remainder when q(4) is divided by s?
0
Suppose -5*k = -2*c + 2, -k - 1 = -5. Suppose -r + 27 = -14. What is the remainder when r/2 + 3/(-6) is divided by c?
9
Suppose -5*y + 17 = -8. Let u be (-6)/(-2) - 0/y. Calculate the remainder when 44 is divided by 15*(-2 + 0 + u).
14
What is the remainder when -1*(-4 + 0 - 18) is divided by 6?
4
Let n(x) = x - 9. Let c be n(9). Suppose 2*a - 3*a + 18 = c. Calculate the remainder when a is divided by -2 - (-6)/(-1)*-2.
8
Let b = 9 + -5. Suppose 0 = -2*q - 3*m - 2 + 35, q - 22 = b*m. What is the remainder when 53 is divided by q?
17
Let k(f) = 22*f + 4. Let b = 25 - 15. What is the remainder when k(2) is divided by b?
8
Suppose 2*b = 6*b - 164. Let z(k) = -k**3 - 7*k**2 - 2*k. Suppose 5*g + 60 = -5*u, -4*g - 59 = 5*u - 6. Calculate the remainder when b is divided by z(g).
13
Let f be (2 - 1) + (-21)/(-7). Suppose -m - 14 + 61 = f*r, 4*r - 109 = -3*m. Calculate the remainder when m is divided by 17.
14
Suppose 0*z = z. Suppose -20 = -2*q - 3*c, 3*c + z*c = 3*q. What is the remainder when q is divided by 3?
1
Suppose 0 = 3*i + 2*h - 80, 3*h = -4*i - 0*h + 108. What is the remainder when 93 is divided by i?
21
Let c(m) = 2*m**3 - 3*m**2 + m + 3. Let v be -2 - (-1 - 5)/1. Calculate the remainder when c(v) is divided by 22.
21
Let c(b) = 2*b**2 + 11*b + 30. Calculate the remainder when 39 is divided by c(-3).
9
Let w = -21 - -6. Let d = 35 + w. Let n = -143 - -201. Calculate the remainder when n is divided by d.
18
Let s(j) = j**3 + 7*j**2 - j + 7. Calculate the remainder when s(-7) is divided by 3.
2
Suppose 4*h + 10 = 34. Calculate the remainder when 15 is divided by h.
3
Let g(t) = t**2 - 6. Suppose -6 = -4*o - 30. Let a be g(o). Suppose 4*c - 82 - a = 0. Calculate the remainder when c is divided by 15.
13
Suppose v - 18 - 40 = 0. Suppose -3*b + 52 = 4*h, b + 0*b - h = 22. What is the remainder when v is divided by b?
18
Let j = 0 + 4. Suppose 0 = -5*b - 3*r + 52, j*b + 0*r = 4*r + 48. Let t = 20 - b. What is the remainder when 25 is divided by t?
7
Let m be (-2)/(-5) - 46/(-10). Suppose g - 40 = 5*v, -3*g + m*v + 84 = 2*v. Suppose g = 3*f - 5. What is the remainder when 28 is divided by f?
8
Suppose 5*t - 13 - 42 = 0. What is the remainder when 20 is divided by t?
9
Let q(b) = b**3 - 3*b**2 + b + 3. What is the remainder when 23 is divided by q(3)?
5
Suppose 2*z = 5*z - 78. Let j(u) = 3*u**2 - u - 1. Suppose 3*f + f - 8 = 0. What is the remainder when z is divided by j(f)?
8
Let h be 5/((-31)/(-10) - 3). Let w = -30 + h. Suppose 3*i - 6*i - 16 = -4*k, 3*i = 5*k - 23. What is the remainder when w is divided by k?
6
Suppose c = -0 - 4. Let m be (c/5)/((-1)/(-5)). What is the remainder when 2 is divided by 1*m*(-3)/6?
0
Suppose 5*f - 150 = -2*h, h + 5*f = 3*h - 130. What is the remainder when h is divided by 18?
16
Let x(b) = b**2 - 4*b + 3. Let i be x(2). Calculate the remainder when 344/28 + (-4)/14 is divided by (-8 + (-1 - -2))/i.
5
Suppose -5*m + 0*m = -120. What is the remainder when 95 is divided by m?
23
Let j(w) = -w**3 - 11*w**2 - 10*w + 12. What is the remainder when 33 is divided by j(-10)?
9
Let a = -30 - -63. What is the remainder when a is divided by 17?
16
Let q be 4/(-6) + (-604)/(-6). Suppose -3*z = z - q. Calculate the remainder when z is divided by 9.
7
Let k = 15 + 2. Let q = k + 18. Suppose -t + q = 4*t. What is the remainder when 20 is divided by t?
6
Let i(m) = 6*m**2 - 3*m. Calculate the remainder when 2/(-4) + 210/4 is divided by i(2).
16
Suppose -4*u + 8 = -0*u. Suppose u*o = 7*o - 130. Calculate the remainder when o is divided by 14.
12
Let o(x) = -22*x - 4. Calculate the remainder when o(-3) is divided by 32.
30
Calculate the remainder when 64 is divided by 22/(1 - (-3 - -3)).
20
Let s = 137 - 97. Let x = s + -27. What is the remainder when 51 is divided by x?
12
Let x = 5 - 2. Calculate the remainder when 11 is divided by x.
2
Calculate the remainder when 29 is divided by 5/(-2)*(-9 + 3).
14
Let x = -3 + 17. What is the remainder when 27 is divided by x?
13
Let x = 8 + 12. Suppose -m + 38 = -0*m. What is the remainder when m is divided by x?
18
Let o = -58 - -77. What is the remainder when 75 is divided by o?
18
Suppose -5*j = -50 - 0. Let w(i) = i**2 - 8*i + 14. Calculate the remainder when w(j) is divided by 18.
16
Suppose u - 6 = -3. Let f = u - -14. What is the remainder when 48 is divided by f?
14
Calculate the remainder when 48 is divided by 6/2 + 21/3.
8
Suppose -604 = -4*g - 4*x, -2*g + 318 = -0*x - 2*x. What is the remainder when g is divided by 39?
38
Suppose 2*x + 3*p + 14 = 6*x, 3*x - 4 = -p. Let h = 9 + x. What is the remainder when 20 is divided by h?
9
Let y(f) = -3*f**3 - f**2 - f. Let u = -2 - 0. What is the remainder when y(u) is divided by 12?
10
Let i = 28 + -13. Suppose 5*z + 5*n - 120 = 0, 0*n = -5*n - i. Calculate the remainder when z is divided by 14.
13
Suppose -24 = -3*x + x. Suppose 5*i = -13 - x. Let t(p) = -5*p + 2. Calculate the remainder when t(i) is divided by 7.
6
Let m = 16 - 9. Let s = m - -1. Suppose 0 = 3*l - s*l + 60. What is the remainder when 34 is divided by l?
10
Suppose -3*m + 10 = -2*m. Let v = 22 - m. Let q = -5 + 50. Calculate the remainder when q is divided by v.
9
Suppose 2*q = -6, 5*l + 0*l = -3*q + 1. Suppose 0*a - 24 = -l*a. What is the remainder when (-4)/6*207/(-6) is divided by a?
11
Let p(z) = 29*z - 5. Let c be p(4). Let s = c + -77. Let k = 30 - 18. Calculate the remainder when s is divided by k.
10
Let n = 10 + 14. Calculate the remainder when 47 is divided by n.
23
Suppose 0 = -3*t + 50 - 11. Let p = t + -8. What is the remainder when 9 is divided by p?
4
Suppose 3*k - 3*f + 44 = 2*k, -k + 5*f - 44 = 0. Let s = -30 - k. Calculate the remainder when 53 is divided by s.
11
Calculate the remainder when 88 is divided by (0 - -2)/(-4*(-1)/90).
43
Let y(f) = 2*f**3 - 3*f**2 - 3*f + 2. What is the remainder when 32 is divided by y(3)?
12
Let y(d) = 3*d**2 - 1. Suppose -t + 5*i + 24 = 0, 2*i = 4*t - t - 20. Calculate the remainder when y(2) is divided by t.
3
Let a(g) = -3*g. Suppose -7*w + 13*w - 174 = 0. What is the remainder when w is divided by a(-5)?
14
Let v(l) = -3*l - 5. Let d(b) = -b**2 - 6*b + 2. Let h(w) = -w**3 - 7*w**2 - w - 10. Let s be h(-7). Calculate the remainder when d(s) is divided by v(-3).
3
Let n = -140 + 221. Calculate the remainder when n is divided by 9 - (3 + 0 + -6).
9
Suppose 2*g = -3*o + 5*g + 39, 4*o = 5*g + 50. Calculate the remainder when o is divided by 7.
1
Let s(i) = -i**2 + 6*i - 5. Let h be s(5). Let t = 47 - h. Calculate the remainder when t is divided by 12.
11
Calculate the remainder when 1/(-3) + 478/3 is divided by 40.
39
Let b be 3/(-3) + 0 + 22. Let j = -13 + b. What is the remainder when j is divided by 3?
2
Let v(r) = -r**3 + 6*r**2 + 6*r - 5. What is the remainder when 84 is divided by v(6)?
22
Suppose -17*h + 76 = -13*h. Calculate the remainder when 55 is divided by h.
17
Let w(o) = -o**3 - 3*o**2 - o + 6. Let q(y) = 1. Let t(g) = -5*q(g) + w(g). What is the remainder when 11 is divided by t(-3)?
3
Let a = 50 - 29. Calculate the remainder when (a + (-1 - -3))*1 is divided by 6.
5
Let z(m) = 4*m - 1 + 4*m + 3*m. What is the remainder when z(4) is divided by 23?
20
Let h = 11 + 16. What is the remainder when 133 is divided by h?
25
Let d(g) = -g**3 - 3*g**2 - 2*g - 1. Let z be d(-3). Let o(w) = 3 - 2 + 1 + 7*w - w**2. Calculate the remainder when 34 is divided by o(z).
10
Suppose 2*b + 66 - 172 = 0. Suppose 10 - b = -s. What is the remainder when s is di
|
{
"pile_set_name": "DM Mathematics"
}
|
e.
x**(106/21)
Simplify (g**(-32)/g)/g**(-31) assuming g is positive.
g**(-2)
Simplify ((x**(-4)*x)/(x*x**(-5)))/(x**(2/5)/(x/(x**1*x))) assuming x is positive.
x**(-2/5)
Simplify ((q**(1/3))**(-42))**(-22) assuming q is positive.
q**308
Simplify (i*i**8*i*(i*i*i*i**(-11)/i)/i)/(((i/i**8*i)/i)/(i*i/(i/(i**5/i))*i)) assuming i is positive.
i**13
Simplify (v**(-11))**(-45) assuming v is positive.
v**495
Simplify (c**(1/3))**(-34)/(c**(-1/5)/c**8) assuming c is positive.
c**(-47/15)
Simplify (t**(5/4)*t**(1/11))/(t*t*t**(1/3))**(-48) assuming t is positive.
t**(4987/44)
Simplify (t**(2/63))**(-2/81) assuming t is positive.
t**(-4/5103)
Simplify (o/(o*o/((o*((o*o**(2/5))/o*o)/o*o)/o)*o))**26/(o**(-8)/o**6) assuming o is positive.
o**(-8/5)
Simplify (h*((h/((h*h/(h/(h/(h*h/(h*(h**(-2/3)/h)/h*h))))*h*h)/h))/h)/h)/(h/(h/((h/(h*h**(-2)*h)*h)/h)*h)) assuming h is positive.
h**(-1/3)
Simplify (i*i**2)/i**(-32) assuming i is positive.
i**35
Simplify (h*h**(-1/4)*h)**50 assuming h is positive.
h**(175/2)
Simplify t**(-4)*(t/t**(-5))/t*t*t*(t*(t**(-1/7)*t)/t*t)/t*t*t/t**3 assuming t is positive.
t**(20/7)
Simplify ((g**(-9)/g)/g**(-12))**(4/5) assuming g is positive.
g**(8/5)
Simplify f**(17/5)*f**(-8) assuming f is positive.
f**(-23/5)
Simplify ((r**(-1/9)*r)/r**4)/(r/(r**(1/2)/r))**(1/8) assuming r is positive.
r**(-475/144)
Simplify (((m/(m**(-3/5)/m))/m)/(m/(m*m**(-1/7))*m))/(m**(-1/3)/m**(1/2)) assuming m is positive.
m**(271/210)
Simplify (v*v/(v*v**8))/v**(3/2) assuming v is positive.
v**(-17/2)
Simplify (c*c*c/(c*c*((c*c**(2/21))/c)/c)*c)**11 assuming c is positive.
c**(671/21)
Simplify (i**(1/4))**(-6/17)/(i/i**0*i**(2/23)) assuming i is positive.
i**(-919/782)
Simplify (f/f**(-3/8))/f*f/(f*f/f**(-3))*f*(f/f**0)/f**(1/2) assuming f is positive.
f**(-17/8)
Simplify ((q*(q**9*q)/q)/(q**(2/5)*q))/(q**(-1/5))**12 assuming q is positive.
q**11
Simplify (p**(3/4))**(-8/7) assuming p is positive.
p**(-6/7)
Simplify ((y*(y*y**2*y)/y*y)/(y/(y/(y*y/(y/(y/y**(-8))))*y)))**(-1/9) assuming y is positive.
y**(4/9)
Simplify (g**(-1/5)*g)/(g*g/(g/g**(-2/65)*g)) assuming g is positive.
g**(54/65)
Simplify (h/h**(-29))/h*h*(h*h*h/(h/(h**(2/33)*h))*h)/h*h assuming h is positive.
h**(1124/33)
Simplify p*p/p**(-24)*p**7 assuming p is positive.
p**33
Simplify ((z*z**(-2))/(z**0*z*z))**(-17) assuming z is positive.
z**51
Simplify ((g/(g/(g**(-2/7)*g*g*g))*g)/(g*g**(-3)))/((g*(g**(-2)*g)/g*g)/(g/g**(3/8))) assuming g is positive.
g**(355/56)
Simplify ((u**(3/8)*u)/u**(-1/2))**(1/21) assuming u is positive.
u**(5/56)
Simplify (f**(-2/7))**(-32)/(((f**0*f)/f)/f)**(-24/5) assuming f is positive.
f**(152/35)
Simplify f/(f*f**(4/9)*f)*f**(-2)*((f*f*f/f**(-5)*f*f)/f)/f**(5/2) assuming f is positive.
f**(55/18)
Simplify (l**(-2/11))**(-17/4) assuming l is positive.
l**(17/22)
Simplify ((n**(-1)*n*n)/n*n)**(2/13)/((n**(-3)*n)/n**(-2/9)) assuming n is positive.
n**(226/117)
Simplify (z*z*z**23)/(z/(z/(z/(z/(((z/(z**(-6)/z))/z)/z))*z*z))) assuming z is positive.
z**17
Simplify (i*i*i/(i*i**(-1/3)))**(-3/13)*(i*i**0)/i*(i/i**(-1/2))/i assuming i is positive.
i**(-1/26)
Simplify (f/f**1*f)**(-12) assuming f is positive.
f**(-12)
Simplify (j*j*j/(j**(-3/4)/j))/(j/(j*j*j/(j/(j**(-5)/j*j))))*j**(1/10)/j**(-1/17) assuming j is positive.
j**(309/340)
Simplify j**16/j**(1/6) assuming j is positive.
j**(95/6)
Simplify (y**(-2/5))**(1/67)*y**(-1/5)/y*y*y*y*y**2 assuming y is positive.
y**(1271/335)
Simplify ((k*k**(-1/3))**(-1/41))**(4/41) assuming k is positive.
k**(-8/5043)
Simplify (m*m**(-29))/m**(-3/20) assuming m is positive.
m**(-557/20)
Simplify y/(y**(1/2)/y*y)*y*y/((y**(2/71)/y*y)/y) assuming y is positive.
y**(493/142)
Simplify (i*i/((i/i**17)/i))/i*i*(i/((i*i**(-11))/i))/i assuming i is positive.
i**30
Simplify (z**(-2/37))**(7/3) assuming z is positive.
z**(-14/111)
Simplify (t**(-1/2)/t)**12*(t**(2/3))**(-17) assuming t is positive.
t**(-88/3)
Simplify t**(-1/4)/(t*t/(t/t**10)*t*t)*(t*(t*t*t/((t*(t**(1/4)*t)/t)/t)*t)/t)**(-3/14) assuming t is positive.
t**(-787/56)
Simplify (n/(n/n**(-1/3))*n)/(n/n**4*n)*(n*n**(1/2))**(-28) assuming n is positive.
n**(-118/3)
Simplify (h/h**(3/20))/(h*h/(((h*h*h**(-9))/h)/h)) assuming h is positive.
h**(-203/20)
Simplify (d*d*d*d**(-3)*d)/((d*d**(-17))/d) assuming d is positive.
d**18
Simplify (r*r**(-36))/(r*r**(-12)*r) assuming r is positive.
r**(-25)
Simplify ((h/(h/(h/((h/h**(1/2))/h))*h))**(-44))**(-1/5) assuming h is positive.
h**(22/5)
Simplify (r*r**(-1))**(-7/10)*r*r/r**(3/2)*r*r**9 assuming r is positive.
r**(21/2)
Simplify ((s*s**(2/45)*s)/s**(-4/5))**(-21) assuming s is positive.
s**(-896/15)
Simplify (l*l*l**(-2))**(-44)*l**5/l**5 assuming l is positive.
1
Simplify (((c**0/c)/c)**(-3/2))**(-41) assuming c is positive.
c**(-123)
Simplify (c**35/c)/c**9 assuming c is positive.
c**25
Simplify (u/((u*u/(u/(u/((u*u/((u*u*u/u**0*u)/u))/u))))/u*u)*u)**(-15/7) assuming u is positive.
u**(30/7)
Simplify (b*b**(-6))**(-1) assuming b is positive.
b**5
Simplify (k/(k**(-2/13)/k))**(-6/13) assuming k is positive.
k**(-168/169)
Simplify s**(1/5)/s**8 assuming s is positive.
s**(-39/5)
Simplify j/(j*j**(-1/3)*j)*j**17 assuming j is positive.
j**(49/3)
Simplify (o/o**(1/8))**(4/11) assuming o is positive.
o**(7/22)
Simplify z**(-10/9)/z*z**(-31) assuming z is positive.
z**(-298/9)
Simplify (y**(-1/5)*y*y**6)**(-48) assuming y is positive.
y**(-1632/5)
Simplify s**10/s*s*s*s**(-2/7) assuming s is positive.
s**(75/7)
Simplify ((x/x**0)/(x/(x*x**(-1/5)*x)))/((x*(x**2/x)/x*x*x)/((x*x/x**(4/9)*x)/x)) assuming x is positive.
x**(16/45)
Simplify ((c**3*c)/(c/(c*c**(-2/9)/c)*c))**(-42) assuming c is positive.
c**(-224/3)
Simplify (b*b/(b**(1/18)/b*b)*b)/(b/(b**(-19)/b)) assuming b is positive.
b**(-325/18)
Simplify (q*q*q/q**(-25))/q*q**(-1/41) assuming q is positive.
q**(1106/41)
Simplify ((m/m**1)/m)**(-2/17)*(m*m*m**(-3)*m)/m**3 assuming m is positive.
m**(-49/17)
Simplify ((t/t**(-2/9))/t**(-1/9))/(t**4/t*t**(4/7)) assuming t is positive.
t**(-47/21)
Simplify (k**(-18/11)/k)/k*k*k**(-1) assuming k is positive.
k**(-40/11)
Simplify d*d/d**(4/3)*d*(d**(-14)/d)/d assuming d is positive.
d**(-43/3)
Simplify (x*x*x/(x/(((x*x**(-24)*x*x)/x*x)/x*x))*x)/(x**(1/8)*x) assuming x is positive.
x**(-153/8)
Simplify (w**5/(w*w/(w/w**(-7))))**42 assuming w is positive.
w**462
Simplify (b**(-3))**(-33)*b/(b**1/b)*b**(2/11) assuming b is positive.
b**(1102/11)
Simplify (m**(-10))**37 assuming m is positive.
m**(-370)
Simplify n**6*n**(-6/11)*(n*n*n**0*n)/(((n*n*n**(2/9))/n)/n) assuming n is positive.
n**(815/99)
Simplify (h*h**19*h)/h**(3/22) assuming h is positive.
h**(459/22)
Simplify (k/(k*k**0*k))/k**(-1/2)*(k/(k/k**(-1/6)))/((k*k/((k*k/((k*k**(1/5))/k*k*k)*k)/k))/k) assuming k is positive.
k**(-28/15)
Simplify (s**(-2))**28*((((s*s**0*s)/s)/s)/s)**(-1/12) assuming s is positive.
s**(-671/12)
Simplify m/(((m/m**10)/m)/m)*m**(2/139) assuming m is positive.
m**(1670/139)
Simplify a**(-4)*(a**(1/6)*a)/a*(a*a**(1/4))**(-50) assuming a is positive.
a**(-199/3)
Simplify q*q**(-2/15)*q**(-6/7) assuming q is positive.
q**(1/105)
Simplify (i*i*(i*i/(i**5/i))/i*i*i)**1 assuming i is positive.
i
Simplify (r**(-1/5)*r*r**(3/4))/(((r/((r*r**(-6))/r))/r)/(r*r**2)) assuming r is positive.
r**(-29/20)
Simplify (l*l**(-2))**9*(l**2)**(2/137) assuming l is positive.
l**(-1229/137)
Simplify ((u/(u*u**2))/u)**(-30) assuming u is positive.
u**90
Simplify o**(-10)*o**33/o assuming o is positive.
o**22
Simplify ((i**(-3/5))**(-5/13))**(-5/3) assuming i is positive.
i**(-5/13)
Simplify ((y*y*y**(-1))**(-7/4))**9 assuming y is positive.
y**(-63/4)
Simplify y**17/y*y**(-2/3)/y*y assuming y is positive.
y**(46/3)
Simplify (m/m**(6/7))**(-15/7) assuming m is positive.
m**(-15/49)
Simplify u**3*u**12 assuming u is positive.
u**15
Simplify ((f*f**6*f)/f)**(3/5) assuming f is positive.
f**(21/5)
Simplify n/(n**(-1/7)*n)*(n/((n**(-6/11)*n)/n))/n*n assuming n is positive.
n**(130/77)
Simplify m**(-2)*m**7*m/(m/(((m/(m**(-4/7)*m))/m)/m))*m*m*m/m**(-2/9) assuming m is positive.
m**(428/63)
Simplify ((y**(-2)/y*y)/y*y*y**(1/4))/((y*y**(1/2)*y*y)/y**(-6)) assuming y is positive.
y**(-45/4)
Simplify (m*m**4*m**(1/15))/(m*m**(-5)/m*m*((m**(-4)/m)/m)/m) assuming m is positive.
m**(241/15)
Simplify
|
{
"pile_set_name": "DM Mathematics"
}
|
he first derivative of 9*a**3 + 9*a**2 - 25 - 3 + 15*a - 8*a**3. Factor c(x).
3*(x + 1)*(x + 5)
Let 9/4*y - 2 - 1/4*y**2 = 0. Calculate y.
1, 8
What is j in 276*j + 120 - 2394/5*j**2 - 21/5*j**4 + 87*j**3 = 0?
-2/7, 1, 10
Suppose 354 = 47*g + 71*g. Solve 4/7*s**g + 4/7*s**2 - 4/7 - 4/7*s = 0 for s.
-1, 1
Let r(i) be the third derivative of -13*i**2 + 1/8*i**4 - 1/70*i**7 + 3/40*i**6 + 0 - 3/20*i**5 + 0*i + 0*i**3. Factor r(c).
-3*c*(c - 1)**3
Suppose -3*q - 10 = -2*y - 27, 0 = 3*q + 2*y - 1. Factor l**4 + 0*l**3 + 3*l**3 - l**2 - 7*l**q + 5*l**2.
l**2*(l - 2)**2
Let l = -267 - -281. Suppose 0 = -l*k + 16*k. Factor 6/7*b + k - 3/7*b**2.
-3*b*(b - 2)/7
Let j be 10/20 + (-18)/(-28) + -1. Let c(l) be the first derivative of 0*l**2 + 6 - j*l**4 - 2/35*l**5 - 2/21*l**3 + 0*l. Solve c(r) = 0.
-1, 0
Factor -5/4*f**2 + 0 - 1/4*f**3 - 3/2*f.
-f*(f + 2)*(f + 3)/4
Let q(a) be the third derivative of -a**8/336 + a**7/105 + 3*a**6/40 - 11*a**5/30 - a**4/6 + 4*a**3 + 429*a**2. Determine n, given that q(n) = 0.
-3, -1, 2
Let f = -7598 + 7600. Factor -5 + 0*j + 5/4*j**f.
5*(j - 2)*(j + 2)/4
Let g be ((-21)/(-245))/3 - 1/(-5). Let s = g + 6/35. Factor -4/5*x**3 + 0*x + 0 + 0*x**2 + s*x**4.
2*x**3*(x - 2)/5
Factor 3/4*u**2 + 21/4 + 6*u.
3*(u + 1)*(u + 7)/4
Let m be (12/(-15))/(30/(-75)). Factor 4/5*v**3 + 8/5*v**m + 4/5*v + 0.
4*v*(v + 1)**2/5
Let o = -8 + 10. Let a(b) = 5*b**2 + 10*b + 9. Let v(r) = 81*r**2 + 159*r + 144. Let k(t) = o*v(t) - 33*a(t). Let k(n) = 0. What is n?
-3, -1
Let m = 485 + -483. Find d such that 8/5 - 16/5*d - 2*d**m = 0.
-2, 2/5
Let x = 1550/3 + -516. What is s in 2/3 - x*s**2 + 0*s = 0?
-1, 1
Suppose -10*s - 105 = -105. Let j(t) be the second derivative of -1/27*t**3 + 10*t + s + 1/54*t**4 + 0*t**2. Factor j(i).
2*i*(i - 1)/9
Let p(c) be the first derivative of -27*c**5/20 - 3*c**4/4 + 4*c**3 + 6*c**2 + c - 4. Let y(s) be the first derivative of p(s). Factor y(j).
-3*(j - 1)*(3*j + 2)**2
Suppose 4231*g = 4224*g. Factor -50/9*b**4 + g - 20/3*b**3 - 2*b**2 + 0*b.
-2*b**2*(5*b + 3)**2/9
Let x(n) be the first derivative of n**4/90 - n**3/15 + 2*n**2/15 - n - 13. Let u(g) be the first derivative of x(g). Factor u(l).
2*(l - 2)*(l - 1)/15
What is l in 27/2*l**2 + 0 - 1/2*l**3 - 13*l = 0?
0, 1, 26
Let -4*u - 29*u**2 - 4 + 79*u**2 - 51*u**2 = 0. What is u?
-2
Factor -12365 - 5883*i - i**2 + 3529 + 5695*i.
-(i + 94)**2
Let f(t) be the first derivative of 3 - 4*t - 1/9*t**4 + 0*t**2 + 0*t**3 + 1/15*t**5. Let s(h) be the first derivative of f(h). Let s(c) = 0. Calculate c.
0, 1
Let m(l) = 2*l**3 + 6*l**2 - 30*l + 41. Let n be m(-6). Solve 9/4*w**4 - 3/2*w + 0 - 9/4*w**2 + 3/4*w**n + 3/4*w**3 = 0.
-2, -1, 0, 1
Suppose 2*j = -l + 9, -2*j = 5*l - 6*l - 3. Let r(s) be the first derivative of -1/16*s**4 + 1 + 0*s**2 + 0*s - 1/12*s**j. Solve r(c) = 0.
-1, 0
Factor 31/9*y - 32/9 + 1/9*y**2.
(y - 1)*(y + 32)/9
Let p be -3 - (-3 - (-80)/(-28)). Suppose -5*q + 2*m = -12, -4*q + 3*m + 15 = 4. Solve -2/7 - 50/7*b**q + p*b = 0 for b.
1/5
Let m = -14 + 26. Suppose 0 = 14*o - m*o. What is k in -2/11*k**4 + 0 + 0*k**2 + 4/11*k**3 + o*k = 0?
0, 2
Let j(u) be the first derivative of 9/14*u**2 - 2 - 12/7*u + 1/7*u**3. Suppose j(p) = 0. Calculate p.
-4, 1
Suppose 0 = 4*w + 255 + 21. Let x = 485/7 + w. Factor 0 + 2/7*g - x*g**2.
-2*g*(g - 1)/7
Let x(d) be the first derivative of -3*d**5/5 + 15*d**4/4 + 78*d**3 + 108*d**2 + 98. Factor x(f).
-3*f*(f - 12)*(f + 1)*(f + 6)
Let o(l) be the second derivative of -l**6/30 - 13*l**5/5 - 25*l**4/2 - 74*l**3/3 - 49*l**2/2 + 269*l. Factor o(u).
-(u + 1)**3*(u + 49)
Let f(b) = b**4 - b**3 + b**2 + b - 1. Let x(r) = 6*r**4 + 4*r**3 + 10*r**2 - 4*r - 12. Let z(s) = 4*f(s) - x(s). Factor z(n).
-2*(n - 1)*(n + 1)*(n + 2)**2
Let u(x) = 2*x - 3. Let q be u(2). Let c be 0*q*(-4)/12. Factor 0*l**3 + c + 0*l - 1/3*l**2 + 1/3*l**4.
l**2*(l - 1)*(l + 1)/3
Let j be (-5)/(10/3)*-4. Suppose 3*a**5 - j*a**2 + a**3 + a**5 - a**5 - 10*a**3 = 0. Calculate a.
-1, 0, 2
Let x(v) be the third derivative of -v**6/600 + 67*v**5/100 - 4489*v**4/40 + 300763*v**3/30 - 208*v**2 + v. Suppose x(j) = 0. What is j?
67
Factor -2/5*q**4 + 6/5*q**2 + 0 + 0*q**3 - 4/5*q.
-2*q*(q - 1)**2*(q + 2)/5
Factor 111*x - 1 + 1 - 307*x - 966*x**2 - 2*x**4 - 686*x - 86*x**3.
-2*x*(x + 1)*(x + 21)**2
Suppose 0 = 14*x + 3894 - 3950. What is o in -15*o**3 - 9/2*o**x + 0 + 0*o + 12*o**2 = 0?
-4, 0, 2/3
Let b(p) = -p**2 - 12*p - 15. Let u be b(-10). Suppose -u*v + 9 = -1. Let -17*l**v + 77*l + l**2 - 73*l = 0. Calculate l.
0, 1/4
Suppose 3*q = d + 3, d - 4*d = -2*q + 2. Let s(x) be the first derivative of 0*x**2 + 2 - 1/20*x**4 + d*x - 1/15*x**3. Let s(y) = 0. Calculate y.
-1, 0
What is j in -838*j**4 + 798*j**4 + 28*j**3 + 212*j - 197*j**2 + 533*j**2 - 56 = 0?
-2, -1, 1/5, 7/2
Suppose 8*t - 2*t = -36. Let q(f) = -5*f**2 + 6*f + 14. Let u(i) = -i + 1. Let y(b) = t*u(b) - q(b). Factor y(o).
5*(o - 2)*(o + 2)
Factor 18/7*q + 26/7*q**3 - 4/7 + 48/7*q**2.
2*(q + 1)**2*(13*q - 2)/7
Let o = 486/11 + -482/11. Let 6/11*y + o + 2/11*y**2 = 0. Calculate y.
-2, -1
Let p(a) be the second derivative of a**5/360 + a**4/72 - a**3/12 - 6*a**2 - 23*a. Let k(t) be the first derivative of p(t). Suppose k(x) = 0. Calculate x.
-3, 1
Let o(v) be the second derivative of v**5/105 + 2*v**4/21 - 10*v**3/21 + 2*v**2 - 3*v. Let n(c) be the first derivative of o(c). Find a, given that n(a) = 0.
-5, 1
Let g(h) be the second derivative of 0 + 13/3*h**3 - 9*h + 2/3*h**4 + 3*h**2. Factor g(r).
2*(r + 3)*(4*r + 1)
Let r = 2301/20 + -574/5. Let w(y) be the second derivative of 0*y**2 - 1/30*y**6 + 3*y - r*y**4 - 1/6*y**3 + 0 - 3/20*y**5. Factor w(d).
-d*(d + 1)**3
Factor -1/2*b**4 + 0*b**2 - 1/2*b**3 + 0 + 0*b.
-b**3*(b + 1)/2
Determine y, given that 4/5*y + 2/5*y**4 - 2/5*y**2 + 2/5*y**5 - 6/5*y**3 + 0 = 0.
-2, -1, 0, 1
Let -6 - 5/4*h + 1/4*h**2 = 0. What is h?
-3, 8
Let l(x) = x**2 - 7*x + 9. Let c be l(6). Factor -3*u - u + 6*u**2 - 18*u**c - 3*u**5 + u + 12*u**4 + 6*u**2.
-3*u*(u - 1)**4
Let i(r) = -36*r - 140. Let q be i(-4). Determine w, given that -14/3*w**5 + 0 - 26/3*w**3 + q*w**2 - 52/3*w**4 + 0*w = 0.
-3, -1, 0, 2/7
Let i(w) = 2*w**3 - 114*w**2 + 2156*w - 13723. Let z(m) = m**3 - 57*m**2 + 1079*m - 6861. Let o(k) = 2*i(k) - 5*z(k). Let o(u) = 0. What is u?
19
Suppose 249*t = 246*t + 12, 27 = 3*f + 3*t. Solve -27/5*g**f - 144/5*g - 72/5*g**2 - 48/5 + 9*g**4 + 96/5*g**3 = 0.
-1, -2/3, 2
Let x(n) = 21*n + 445. Let v be x(-21). Factor -1/3 - 13/3*y**2 - v*y**3 - 4/3*y**4 - 2*y.
-(y + 1)**2*(2*y + 1)**2/3
Suppose -5*x = p - 6*p - 5, -4*p + 17 = 3*x. Suppose -4*b = 4*n - 32, b - x*b = 4*n - 32. Factor 5*u**2 + 5 - n - 2*u**2.
3*(u - 1)*(u + 1)
Suppose 0 - 1/3*t**4 + 13/3*t**3 + 0*t**2 + 0*t = 0. What is t?
0, 13
Let h be -4 - -6 - (3/(-1) - -2). Let d(x) be the third derivative of 0*x**h + 0*x - 8*x**2 + 0*x**4 + 1/210*x**7 - 1/120*x**6 + 0*x**5 + 0. Factor d(p).
p**3*(p - 1)
Let s be (-14)/(-22)*(-27 + 38). Let a(l) be the third derivative of 3*l**2 + 3/80*l**6 + 0*l + 0*l**4 + 0 + 9/80*l**5 + 1/280*l**s + 0*l**3. Factor a(r).
3*r**2*(r + 3)**2/4
Let y(c) be the second derivative of 3*c**5/10 + c**4/3 + c**3/9 - 76*c. Factor y(d).
2*d*(3*d + 1)**2/3
Determine a, given that 7*a**3 - 5*a**3 - 5*a**3 - 21*a**2 - 18*a = 0.
-6, -1, 0
Let i(s) be the third derivative of -s**9/2880 + 23*s**8/6720 - s**7/84 + s**6/60 - 43*s**5/60 - 10*s**2. Let o(q) be the third derivative of i(q). Factor o(y).
-3*(y - 2)*(y - 1)*(7*y - 2)
Let i be (-9*14/21)/((-4)/(-106)). Let d = i + 481/3. Find h such that 1/3 - 2/3*h + d*h**4 - h**2 + 4/3*h**3 = 0.
-1, 1/2
Let q be 3/(-18) - (889/(-6) + 1). Factor -q*r**2 + 18 + 57*r + 53*r**2 + 73*r**2.
-3*(r - 3)*(7*r + 2)
Let d be -64 - -77 - 14/2. Let f(o) be the third derivative of 0*o**3 + 0*o + 1/144*o**8 - 1/90*o**d + 0*o**5 + 0 + 0*o**4 - 2/105*o**7 + 8*o**2. Factor f(l).
l**3*(l - 2)*(7*l + 2)/3
Let k(f) = f**3 - 6*f**2 + f - 1. Let l be k(6). Suppose -q = -5*c - 0*c - 23, 11 = -3*q - l*c. Suppose 5*a - 2*a**3 - q*a - 191 + 192 - a**4 = 0. What is a?
-1, 1
Suppose 234 = 10*q + 3*q. Suppose -o = 3*s - 1 - 0, -2*s = 5*o - q. Factor 1/2*f**3 + 1/6*f**5 + 1/6*f**2 + 1/2*f**o + 0 + 0*f.
f**2*(f + 1)**3/6
Let o(b) = 11*b**3 + 208*b**2 + 2704*b - 7. Let m(d) = 5*d**3 + 104*d**2 + 1352*d -
|
{
"pile_set_name": "DM Mathematics"
}
|
2, 3, 61, 8147147
What are the prime factors of 5455631051?
13, 3727, 112601
List the prime factors of 113429117.
17, 6672301
What are the prime factors of 67426817?
67426817
What are the prime factors of 203131888?
2, 19, 691, 967
List the prime factors of 7350746.
2, 13, 29, 9749
What are the prime factors of 1054304325?
3, 5, 73, 64189
What are the prime factors of 496811249?
11, 593, 76163
What are the prime factors of 43827750?
2, 3, 5, 43, 151
List the prime factors of 84252670.
2, 5, 47, 179261
List the prime factors of 1515025171.
11, 137729561
List the prime factors of 27181570.
2, 5, 13, 209089
What are the prime factors of 500249782?
2, 103, 199, 12203
What are the prime factors of 129638149?
29, 4470281
List the prime factors of 2501920.
2, 5, 19, 823
List the prime factors of 53972020.
2, 5, 53, 59, 863
What are the prime factors of 185870631?
3, 3541, 17497
List the prime factors of 6057154450.
2, 5, 8527, 14207
What are the prime factors of 13586719?
1487, 9137
List the prime factors of 9134550.
2, 3, 5, 53, 383
What are the prime factors of 93923157?
3, 31307719
What are the prime factors of 74861417?
74861417
List the prime factors of 927501208.
2, 73, 1588187
What are the prime factors of 1411591011?
3, 769, 611873
What are the prime factors of 2884690064?
2, 149, 1210021
List the prime factors of 90063766.
2, 13, 359, 9649
List the prime factors of 591967093.
11549, 51257
List the prime factors of 2457739337.
71, 1867, 18541
List the prime factors of 45359226.
2, 3, 11, 107, 2141
What are the prime factors of 28564635?
3, 5, 11, 233, 743
What are the prime factors of 4259750569?
191, 22302359
List the prime factors of 260719136.
2, 307, 26539
List the prime factors of 118642374.
2, 3, 73, 30097
List the prime factors of 2017229989.
47, 151, 284237
List the prime factors of 6746218829.
7, 963745547
List the prime factors of 84867572.
2, 29, 173, 4229
What are the prime factors of 103330716?
2, 3, 8610893
List the prime factors of 11350490.
2, 5, 37, 30677
What are the prime factors of 4390405?
5, 163, 5387
What are the prime factors of 59837702?
2, 29918851
List the prime factors of 124025438.
2, 17, 3647807
List the prime factors of 3640186477.
3640186477
List the prime factors of 1201884830.
2, 5, 43, 61, 45821
What are the prime factors of 882443758?
2, 7, 63031697
What are the prime factors of 85357038?
2, 3, 13, 1094321
What are the prime factors of 15464815?
5, 17, 31, 5869
What are the prime factors of 18502092?
2, 3, 7, 73421
List the prime factors of 498023419.
498023419
List the prime factors of 2254530306.
2, 3, 7, 53679293
List the prime factors of 1524814262.
2, 762407131
List the prime factors of 27261664.
2, 881, 967
List the prime factors of 60799634.
2, 7, 2069, 2099
What are the prime factors of 449251364?
2, 23, 71, 68777
What are the prime factors of 4054854443?
29, 139822567
What are the prime factors of 22245946?
2, 47, 236659
What are the prime factors of 50425096?
2, 31, 127, 1601
List the prime factors of 3290219015.
5, 17, 38708459
What are the prime factors of 116256069?
3, 277, 46633
What are the prime factors of 67021290?
2, 3, 5, 7, 35461
What are the prime factors of 2229905937?
3, 7, 97, 1094701
List the prime factors of 296030669.
11, 26911879
List the prime factors of 113607566.
2, 17, 3341399
List the prime factors of 890532483.
3, 5903, 50287
What are the prime factors of 111966875?
5, 23, 7789
List the prime factors of 294203178.
2, 3, 1816069
List the prime factors of 2622683575.
5, 97, 1031, 1049
What are the prime factors of 641862750?
2, 3, 5, 19, 31, 1453
List the prime factors of 132375806.
2, 103, 157, 4093
List the prime factors of 79553217.
3, 17, 307, 5081
What are the prime factors of 1790475605?
5, 137, 2613833
What are the prime factors of 503246718?
2, 3, 13, 131, 16417
What are the prime factors of 33050354?
2, 239, 69143
What are the prime factors of 92711924?
2, 239, 96979
What are the prime factors of 56885944?
2, 17, 418279
What are the prime factors of 151145685?
3, 5, 281, 11953
List the prime factors of 27686397.
3, 37, 249427
What are the prime factors of 5513362674?
2, 3, 37, 1291, 19237
List the prime factors of 26831204.
2, 6707801
List the prime factors of 609863110.
2, 5, 41, 1487471
List the prime factors of 145708639.
43, 3388573
What are the prime factors of 92371488?
2, 3, 11, 87473
List the prime factors of 35980091.
7, 19, 270527
What are the prime factors of 823974784?
2, 6437303
What are the prime factors of 70776001?
257, 275393
List the prime factors of 865739748.
2, 3, 173, 417023
List the prime factors of 29074253.
13, 89, 1933
List the prime factors of 302294970.
2, 3, 5, 1119611
What are the prime factors of 285860939?
7, 13, 3141329
List the prime factors of 3151848912.
2, 3, 59, 1112941
List the prime factors of 228244220.
2, 5, 47, 242813
What are the prime factors of 3230986695?
3, 5, 61, 179, 19727
What are the prime factors of 22791004?
2, 5697751
What are the prime factors of 57113482?
2, 28556741
What are the prime factors of 173171065?
5, 101, 139, 2467
What are the prime factors of 92980620?
2, 3, 5, 41, 43, 293
What are the prime factors of 640411142?
2, 7, 45743653
List the prime factors of 88291380.
2, 3, 5, 47, 131, 239
What are the prime factors of 150231188?
2, 911, 41227
What are the prime factors of 6634272189?
3, 2211424063
What are the prime factors of 25173316?
2, 7, 23, 39089
What are the prime factors of 1600438353?
3, 149, 653, 5483
What are the prime factors of 1679026157?
227, 7396591
List the prime factors of 70279866.
2, 3, 173, 7523
What are the prime factors of 9774917?
9774917
What are the prime factors of 1646404233?
3, 548801411
What are the prime factors of 37261416?
2, 3, 17, 271, 337
List the prime factors of 4390291560.
2, 3, 5, 4483, 8161
List the prime factors of 5539416135.
3, 5, 11, 33572219
List the prime factors of 176894955.
3, 5, 23, 2477
What are the prime factors of 564446947?
71, 1151, 6907
What are the prime factors of 952033239?
3, 631, 167641
List the prime factors of 178248302.
2, 89124151
What are the prime factors of 212303335?
5, 557, 76231
What are the prime factors of 2190310152?
2, 3, 9151, 9973
What are the prime factors of 432549652?
2, 139, 283, 2749
What are the prime factors of 4329813874?
2, 71, 30491647
What are the prime factors of 25439391?
3, 409, 6911
What are the prime factors of 21805777?
7, 109, 28579
List the prime factors of 1105281970.
2, 5, 13, 283, 2311
List the prime factors of 426041666.
2, 53, 859, 4679
What are the prime factors of 362458328?
2, 337, 134443
List the prime factors of 6437225040.
2, 3, 5, 223, 120277
What are the prime factors of 29603868?
2, 3, 7, 17, 20731
What are the prime factors of 418787425?
5, 7, 2393071
List the prime factors of 24381768.
2, 3, 1015907
What are the prime factors of 2535562?
2, 257, 4933
List the prime factors of 35135528.
2, 4391941
What are the prime factors of 461584094?
2, 269, 857963
List the prime factors of 935548274.
2, 467774137
List the prime factors of 24942845.
5, 4988569
What are the prime factors of 11892408?
2, 3, 11, 107, 421
List the prime factors of 40520772.
2, 3, 29, 37, 1049
List the prime factors of 387230851.
7, 293, 188801
What are the prime factors of 1234395669?
3, 13, 31651171
What are the prime factors of 189710483?
31, 227, 26959
List the prime factors of 7683189795.
3, 5, 1123, 1877
List the prime factors of 371658941.
11057, 33613
List the prime factors of 66695431.
11, 6063221
What are the prime factors of 333942353?
37, 2377, 3797
What are the prime factors of 175852838?
2, 7, 197, 63761
List the prime factors of 434393981.
7, 62056283
What are the prime factors of 217723711?
199, 1094089
What are the prime factors of 307981882?
2, 13, 47, 19387
What are the prime factors of 348959317?
7, 49851331
List the prime factors of 150542525.
5, 7, 53, 16231
List the prime factors of 2766514460.
2, 5, 138325723
What are the prime factors of 3910278980?
2, 5, 5927, 32987
List the prime factors of 53432356.
2, 257, 51977
List the prime factors of 186767372.
2, 11, 17, 22699
What are the prime factors of 454866506?
2, 227433253
List the prime factors of 1667478451.
257, 6488243
List the prime factors of
|
{
"pile_set_name": "DM Mathematics"
}
|
41*q - 54. Calculate q*c(y) + 6*o(y).
2*y - 46
Let a = 14 - 8. Let q(z) = 15*z**2 + 11*z + 11. Suppose -8*g - 1000 = 424. Let x = g - -189. Let n(d) = -8*d**2 - 6*d - 6. What is a*q(k) + x*n(k)?
2*k**2
Let s be 10/75*-5*27/(-6). Let u(f) = 22*f**2 - 16*f. Let q(y) = -y**2 + y. Calculate s*u(g) + 48*q(g).
18*g**2
Let l(z) = -14*z**3 + 108*z**2 - 5*z + 10. Let k(c) = 13*c**3 - 107*c**2 + 4*c - 8. Determine -5*k(u) - 4*l(u).
-9*u**3 + 103*u**2
Let t = -145036 - -145037. Suppose 0 = u - 2*d - 8, d + d = 4*u - 2. Let x(y) = 3*y - 2. Let a(q) = q - 1. Calculate t*x(l) + u*a(l).
l
Let j(z) = -6*z - 2. Let f(t) = 269*t - 536*t + 5 + 280*t. What is -4*f(g) - 10*j(g)?
8*g
Let c(g) = 5*g**3 + 208*g**2 - 21*g + 2. Let f(d) = -d**3 - 104*d**2 + 9*d - 1. Give -3*c(z) - 7*f(z).
-8*z**3 + 104*z**2 + 1
Suppose 5*a + 169 = -2*x, -15 = x + 4*a + 71. Let d = x - -16. Let p(y) = y**2 - 11*y. Let o(v) = 563*v - 764*v + 200*v. Give d*o(g) + 6*p(g).
6*g**2
Suppose -3*s = -2*n + 31, 6 = -2*n + s + 31. Let c(b) = 7*b**2 - n*b + 13*b + 0*b. Let z(u) = u**2 + u. Calculate c(o) - 4*z(o).
3*o**2 - 2*o
Let b(c) be the third derivative of -c**6/120 + c**4/24 + 534*c**2. Let w(d) = -d**3 - 4*d. What is -3*b(u) - w(u)?
4*u**3 + u
Let s(p) = 183375*p - 4725. Let l(g) = 233*g - 6. Calculate 1575*l(t) - 2*s(t).
225*t
Let l(k) = 2*k**3 + k**2 - 3*k - 1. Let p(m) = -2*m**3 - 2*m**2 - 19*m + 3. Give 4*l(w) + 2*p(w).
4*w**3 - 50*w + 2
Let q(r) = -8*r**3 + 8*r**2 - 9*r - 1. Let t be 15/12 - 2*(-3)/8. Let n be (-5 + -1 + 8)/(2/t). Let j(h) = -h**3 + h**2 - h. What is n*q(c) - 18*j(c)?
2*c**3 - 2*c**2 - 2
Let m(r) = 15. Let j(f) = 266*f - 59. Give j(t) + 4*m(t).
266*t + 1
Let v(z) = -4*z**3 - 3*z**2 - 6*z + 117. Let m(h) = -5*h**3 - 4*h**2 - 7*h + 117. Determine 3*m(o) - 4*v(o).
o**3 + 3*o - 117
Let j(v) = 24*v - 2. Let s(o) = 14*o - 1. Give -j(i) + 6*s(i).
60*i - 4
Let v(j) = -j**2 + 2*j. Suppose 0*d + d = 3*x + 10, -2*d - 5*x = 13. Let l be (-2 - 0)*d/((-8)/(-8)). Let g(w) = -w. Calculate l*v(k) - 5*g(k).
2*k**2 + k
Let k(l) = 20*l + 2875. Let s(q) = -14*q - 1918. What is -5*k(w) - 7*s(w)?
-2*w - 949
Let z(n) = 89*n + 23. Let l(x) = -31*x - 8. Give -8*l(k) - 3*z(k).
-19*k - 5
Suppose -2*p = 2*p - 4, -4*p - 48 = -v. Suppose 4*a = -4*f - v, -13 = 5*a + 3*f + 44. Let r(d) = d - 2. Let z(t) = -4*t + 9. Calculate a*r(o) - 2*z(o).
-o
Let j(h) = h**3 - h**2 - h + 1. Let y(c) = -54*c**3 + 42*c**2 + 42*c - 42. Let i = 3829 - 3703. Calculate i*j(d) + 3*y(d).
-36*d**3
Let l = -1114 - -1106. Let u(t) = -5*t**3 + 2*t - 1. Let a(s) = -14*s**3 + 6*s - 3. Determine l*u(z) + 3*a(z).
-2*z**3 + 2*z - 1
Let f(m) = -m**2 + 55*m + 243. Let h be f(59). Let n(x) = -4*x**3 - 3*x**2 + 4*x - 1. Let u(l) = -9*l**3 - 7*l**2 + 9*l - 3. Calculate h*n(k) - 3*u(k).
-k**3 + k + 2
Let j = 12368 - 12376. Let y(l) = -50*l**2 - 9*l - 9. Let b(h) = 75*h**2 + 14*h + 14. Calculate j*y(f) - 5*b(f).
25*f**2 + 2*f + 2
Let r(k) = 154*k**2 - 14*k - 14. Let n(q) = -3 - 3*q - 8*q**2 + 31*q**2 + 8*q**2. Determine -28*n(i) + 6*r(i).
56*i**2
Let c(p) = -3*p + 2. Let z(r) = -6*r + 5. Suppose -3*y + 39 = -n - 38, 0 = -y - n + 31. Suppose -y*g + 30 = -21*g. Calculate g*c(s) - 2*z(s).
-3*s
Let n(i) = 537*i**2 - 57*i + 7. Let s(u) = u**2 - 8*u + 1. Calculate 2*n(l) - 14*s(l).
1060*l**2 - 2*l
Let o(i) = -50*i**2 + 33*i + 356. Let v(s) = 33*s**2 - 21*s - 237. Determine 7*o(a) + 11*v(a).
13*a**2 - 115
Let h(y) = 16*y**3 - 9*y**2 - 42*y + 45. Let b(m) = 4*m**3 - 2*m**2 - 11*m + 12. Determine -15*b(z) + 4*h(z).
4*z**3 - 6*z**2 - 3*z
Let b(k) = k. Let t be (-52)/(-494) + 408/456. Let p(y) be the third derivative of 5*y**4/24 + 5*y**3/6 - 2*y**2. Determine t*p(u) - 6*b(u).
-u + 5
Suppose 0 = -5*f + 2*l - 34, -2*f = -f + 3*l. Let v(j) = -3*j**2 + 3*j**2 + j**2. Let t(i) = -4*i + 172*i**2 - 82*i**2 - 82*i**2 + 5*i. What is f*v(u) + t(u)?
2*u**2 + u
Let q be (-4 - 7/(-1))*1/3. Let r(k) be the second derivative of k**4/12 - 9*k. Let m(t) = -7*t**2 + t + 2. Determine q*m(h) + 5*r(h).
-2*h**2 + h + 2
Let n(v) = -4*v**2 + 6*v. Suppose -3*g = 3, 3*u - 3*g - 12 = 9. Let s(z) be the first derivative of -z**3/3 + z**2/2 - 925. Give u*s(p) - n(p).
-2*p**2
Let u(g) = -8*g**2 - g. Let r(f) be the third derivative of 7*f**5/60 + f**4/12 + 105007*f**2. Let i = 1 + 1. Calculate i*r(s) + 3*u(s).
-10*s**2 + s
Let q(f) = 6*f**2 + 9. Let v be 7 + (-52)/4 - -56. Let k(m) = -4*m - 2*m**2 + 4*m - 53 + v. Calculate 17*k(r) + 6*q(r).
2*r**2 + 3
Let x(v) = -54*v**2 + 14. Let i(g) = 36*g**2 + g - 10. What is 7*i(q) + 5*x(q)?
-18*q**2 + 7*q
Let x(w) = w**2 - 3. Let z(a) = 28*a**2 + 3*a - 23. What is 4*x(v) - z(v)?
-24*v**2 - 3*v + 11
Suppose 5*l - 27 = -3*a, 2*a + 11 = -l + 22. Let n(k) be the second derivative of k**4/3 - k**3/3 + 14*k. Let c(f) = 20*f**2 - 11*f. Give a*c(o) - 22*n(o).
-8*o**2
Let x(y) = -34*y + 3441. Let o(l) = 6*l - 689. Give 11*o(i) + 2*x(i).
-2*i - 697
Let g(u) = -1 + 3 + u + 1. Suppose t + 4 = 5*t + 4*r, -r - 2 = 4*t. Let c be 11803/(-2849) + ((-2)/14)/(-1). Let x(z) = -1. What is c*x(f) + t*g(f)?
-f + 1
Let r(u) = 4*u + 8*u**2 - 19 - 19 + 3*u + 37. Suppose -2*y - 35 = -7*y - 4*t, -4*t = 0. Let n(c) = -7*c**2 + 13*c - 19*c - 6 + y. Determine 6*n(j) + 5*r(j).
-2*j**2 - j + 1
Let g(s) = 6*s**2 + s + 1. Let r(j) = -20570*j**2 + 110*j + 110. Determine 110*g(p) - r(p).
21230*p**2
Let n(c) = -2111198*c**2 + 15715*c - 3143. Let u(v) = 2686*v**2 - 20*v + 4. Calculate -4*n(f) - 3143*u(f).
2694*f**2
Let j(m) = m + 9. Let y(t) = -41836*t + 19 + 20918*t + 20919*t. What is 9*j(n) - 4*y(n)?
5*n + 5
Let d(a) = -8*a**3 + 21*a**2 + 2*a - 1062. Let q(r) = 3*r**3 - 6*r**2 - r + 354. Determine -2*d(p) - 7*q(p).
-5*p**3 + 3*p - 354
Let q(s) = -34 + 95 - 5*s**2 - 33 - 30. Let j(x) = x - 1. Let y(n) = -n**2 - 6*n + 5. Let h(w) = -6*j(w) - y(w). Calculate 6*h(k) + 3*q(k).
-9*k**2
Let s(x) = 13*x**2 + 1044*x - 2. Let l(u) = -37*u**2 - 3132*u + 6. Give -6*l(g) - 17*s(g).
g**2 + 1044*g - 2
Let u(i) = 324178*i + 3592. Let p(n) = 903*n + 10. Give -1796*p(m) + 5*u(m).
-898*m
Let p(k) = k**2 + k. Let r(q) = 4*q**2 + 1 - 3*q + 0*q - 3. Suppose -686*o - 1217 + 261 = -208*o. Determine o*p(f) + r(f).
2*f**2 - 5*f - 2
Let x(l) = l**2 + l - 1. Let d(y) = -y**2 - 42*y - 184. Let w be d(-37). Let r(k) = 5*k**2 - 6*k + 5. Calculate w*r(f) + 5*x(f).
10*f**2 - f
Let k(u) be the first derivative of -6*u**2 - 7*u - 3603. Let l(t) = -t - 1. Calculate -k(j) + 5*l(j).
7*j + 2
Let v(g) = 4 + 5 - 7*g + 3 - 3. Let b be ((-18)/(-3) + (1 - -2))/(-1). Let o(m) = 2*m - 2. Calculate b*o(a) - 2*v(a).
-4*a
Let q be (-6)/4 + (-2)/4. Let i(y) = -y**2. Let v(l) = -3*l**2. Suppose -27*x - 30 = -32*x. Suppose 119*g = 113*g + x. Determine g*v(r) + q*i(r).
-r**2
Let s(a) = -24*a - 695. Let o be s(-29). Let h(u) = u. Let r(p) = p**3 + p**2 + p + 1. Determine o*r(c) - 4*h(c).
c**3 + c**2 - 3*c + 1
Suppose 0 = -3*m + 10 + 5. Let f be (56/14)/((-3)/((-198)/(-11))). Let h(g) = -4*g. Let i(n) = -n. Calculate f*i(a) + m*h(a).
4*a
Let m(p) = -7*p**2 + 5*p - 5. Let j(q) = -10*q**2 + 7*q - 7. Let y(v) = 5*j(v) - 7*m(v). Let f(g) = 28*g**2. Determine -6*f(s) - 210*y(s).
42*s**2
Let f(y) = 2*y - 2. Let d be f(0). Let b be 43/9 - 30/(-135). Let k(n) be the first derivative of n**2 - n - 4. Let z(c) = c. Calculate b*z(s) + d*k(s).
s + 2
Let v(l) be the first derivative of -37*l**4/4 - 3*l**2/2 - 975. Let o(a) = -445*a**3 - 35*a. What is -3*o(d) + 35*v(d)?
40*d**3
Let w(f) = -3*f**3 - f**2 - 4*f - 1. Let n(l) = -6*l**3 + l**2 - 4*l + 88. Give -n(c) + w(c).
3*c**3 - 2*c**2 - 89
Let g(k) = 9*k - 16. Suppose 4*d - 13 = -m, 0 = -11*d + 14*d - 2*m + 4. Let r(a) = 4*a - 8. Give d*g(z) - 5*r(z).
-2*z + 8
Let l(m) be the second derivative of -m**4/12 + 17*m. Suppose 14 - 71 = 19*z. Let t(g) = 4*g**2. Calculate z*t(j) - 16*l(j).
4*j**2
Let j(w) = 44*w - 72. Suppose -18*z = -19*z + 4. Let v(d) = 6 - 6 - 8*d + 9 + z. Let p(x) = 5*j(x) + 28*v(x). Let c(l) = 21*l - 21. Give 2*c(h) + 11*p(h).
-2*h + 2
Let p(x) = -4*x**3 - 20*x**2 + 5*x + 5. Let q(j) = -j - 9*j**2 - 291144 + 10*j**2 + 291143. Calculate -p(z) - 5*q(z).
4*z**3 + 15*z**2
Let j(c) = -5*c**2 - 4*c + 319. Let f(g) = -22*g**2 - 18*g + 1276. What is 2*f(m) - 9*j(m)?
m**2 - 319
Let l(r) = r**2 + 2*r + 1. Let h(i) = 4*i**2 + 389*i + 11. What is -h(t) + 5*l(t)?
t**2 - 379*t - 6
Let o
|
{
"pile_set_name": "DM Mathematics"
}
|
029
Let q = -30 + 29.971. Let b = q - 1.671. Let u = 1.51 + b. Round u to 1 decimal place.
-0.2
Let l = -23967.9999978201 - -23968. What is l rounded to seven decimal places?
0.0000022
Let j = 49561.063 + -49691. Let o = j + -0.063. Let a = o - -129.9999931. Round a to 6 dps.
-0.000007
Let d = -591.977075362 + -9.022925658. Let a = d - -601. Round a to 6 dps.
-0.000001
Let u = 162 + -336. Let z = u - -173.899. Let b = z - -0.1009943. Round b to six dps.
-0.000006
Let b = -1690.5012457 + 1690.5. Round b to four dps.
-0.0012
Let f = -59.5 + 58.27. Let i = f + -282.87. Round i to the nearest ten.
-280
Let u = 0.5829976338 - 0.583. Round u to 7 decimal places.
-0.0000024
Let a = -28.07497 - 0.06103. Let i = 5 - -23. Let p = a + i. Round p to two decimal places.
-0.14
Let l = -33 + 43. Let z be (-336)/40 + 4/l. Let g be 119224/z - (-6 + 3). What is g rounded to the nearest one thousand?
-15000
Let h be -4 + (260 - (-4 + 5)). Suppose -90 + h = -j. Let b = 1059 + j. Round b to the nearest 100.
900
Let g = 3795.0000256 - 3795. What is g rounded to four decimal places?
0
Let c be (((-28)/3)/((-6)/(-15)))/(286/87945). What is c rounded to the nearest 100?
-7200
Let x = 28.87 + -28.8699990352. What is x rounded to 7 dps?
0.000001
Let i = 406200 - 207810. What is i rounded to the nearest ten thousand?
200000
Let f = 0.21959 + -0.237. Let p = 1.05788 + f. Let k = p + -1.04. What is k rounded to four dps?
0.0005
Let a = 256.38 - 256.379944716. What is a rounded to 5 dps?
0.00006
Suppose -2*n - 16 = -4*m - 42, 3*n + 5*m + 16 = 0. Suppose -5*l - 49650000 = n*d, 5*d = -l - 10065267 + 135267. What is l rounded to the nearest 100000?
-9900000
Let h = -274.03 + 272. Let j = -2.47185 - -0.44024. Let q = h - j. Round q to four decimal places.
0.0016
Let t = 113064424 + -199394424. Round t to the nearest 1000000.
-86000000
Let z = -90 - -147. Let p = -56.9998872 + z. What is p rounded to five dps?
0.00011
Let c = -6952010 + 16377010. Round c to the nearest one million.
9000000
Let j = -12.74 + 1388.74. Let l = 1375.99999383 - j. Round l to six decimal places.
-0.000006
Let i be (-1)/4 - (-5622401)/4. Suppose -7*l = -35*l + i. Round l to the nearest 1000.
50000
Let s = 389.961 - 390. Let v = s + -0.028. What is v rounded to 1 dp?
-0.1
Let y = 0.015 + 82.985. Let u = y - 79.33. Let w = -0.75 - u. What is w rounded to 0 decimal places?
-4
Let f = -123.798 - 602.692. Round f to the nearest ten.
-730
Let s = 77 - 11. Let f be (-11)/s - 2087999/6. What is f rounded to the nearest 100000?
-300000
Let g = 341.9 - 341.8235. What is g rounded to two dps?
0.08
Let l = 0.7137 - 0.779. Let t = -13.5153 - l. Round t to zero dps.
-13
Let r(h) = -h**2 + 21*h + 159. Let b be r(28). Let x(c) = -45*c**3 - 6*c**2 + 87*c + 48. Let j be x(b). What is j rounded to the nearest 100000?
2300000
Let x = 264.9614 - -0.0386. Let f = 263.594 - x. Round f to 1 dp.
-1.4
Let x be 3904/48 - (-2)/3. Let q = x + -80. Suppose y + g = -1342, 4*y - 2*g + 5352 = q*g. Round y to the nearest 100.
-1300
Suppose 3*u = -5*j + 5, 3*u + j + j = 2. Suppose -11*p + 0*p - 95942 = u. Let c = p - -4832. What is c rounded to the nearest one hundred?
-3900
Let j = 613.9418 - -0.0582. Let g = 613.999458 - j. What is g rounded to five dps?
-0.00054
Let k = -1.11776 + -0.35797. Let c = 1.487 + k. What is c rounded to four decimal places?
0.0113
Let u = 29494 + -29493.999982817. What is u rounded to six dps?
0.000017
Let t = -0.04170701999 + 289.04170736999. Let m = t + -289. Round m to 7 dps.
0.0000004
Suppose 16 = -4*y + 8*y. Let m be 37/7 + y/(-14). Suppose 7*w - 5*w - 27998 = m*t, 5*t + w = -28001. What is t rounded to the nearest one thousand?
-6000
Suppose 3*v + 5*d - 6 - 13 = 0, 0 = 4*d + 16. Let x(z) = z**3 - 2*z**2 + 39*z - 13. Let t be x(v). What is t rounded to the nearest 100?
2400
Let z = -244 - -264. Suppose z*a - 136916830 - 219083170 = 0. What is a rounded to the nearest one million?
18000000
Let s = -1729.05 + 1713. Round s to the nearest 10.
-20
Let i = 5008 - 5008.000415. What is i rounded to three decimal places?
0
Let p = -1589 - -1589.00008536. Round p to 5 decimal places.
0.00009
Let v = 13.237002809 - 13.237. Round v to seven dps.
0.0000028
Let k = 18.73935 - -251.25864. Let o = 270 - k. Round o to three dps.
0.002
Let o = -0.5686 + 0.5635724. Round o to five dps.
-0.00503
Let x = -47.9 - 36. Let y = -0.1 + x. Let r = y + 86.32. What is r rounded to one dp?
2.3
Let h = -4080.42 - -4172. What is h rounded to the nearest integer?
92
Let l = 0.01 - 80.01. Let k = -90.19 - -170.57. Let y = k + l. Round y to 1 decimal place.
0.4
Let n = 621 - 649. Let w be n/32*-123314 + (-2)/(-8). What is w rounded to the nearest ten thousand?
110000
Let i = 5529655 + -5529659.2999983. Let b = -53.3 - -49. Let s = b - i. Round s to seven decimal places.
-0.0000017
Let r = 64101922 - 33003922. Round r to the nearest one million.
31000000
Let c = -3.371 - -3.23. Let q = 1.179 - c. Round q to one dp.
1.3
Let f = 4158.7 - 9677.6. Round f to the nearest ten.
-5520
Let h(k) = k**2 - k - 22. Let q be h(5). Let c be (1*12 + q)/((-18)/36). Let n be c/(-4) - (-2 + -5599993). Round n to the nearest one million.
6000000
Let o be -240*((-3879)/(-15))/((-32)/40). Round o to the nearest ten thousand.
80000
Let l = -19167770 - -3575911. Let h(f) = -47648*f**3 - 3*f**2 + f + 5. Let x be h(-6). Let k = x + l. What is k rounded to the nearest 1000000?
-5000000
Let z = -189.8321512 - 0.1595488. Let q = -1007 + 1197. Let i = z + q. Round i to three decimal places.
0.008
Let r = 301 - 304.06. Let n = r - -3.0599507. What is n rounded to five decimal places?
-0.00005
Let n = 0.143 - 64.643. Let z = 21 + n. Round z to zero dps.
-44
Let l = -1181.93 - 1293.8. Let q = l - -2461. What is q rounded to the nearest integer?
-15
Let f = 46.39 + -1.39. Let q = 45.00000086 - f. Round q to seven dps.
0.0000009
Let x = -2.4 + 2.61. Let l = -1865 - -1864.877. Let h = l + x. Round h to 2 decimal places.
0.09
Let g = 0.65 - -346.35. Let t = 346.99999444 - g. What is t rounded to 6 dps?
-0.000006
Let o = -899.99969308 + 900. What is o rounded to six decimal places?
0.000307
Let j = 339 - 406. Let k = 67.00000334 + j. Round k to seven dps.
0.0000033
Let o = -6079 + 6084.679. Round o to the nearest integer.
6
Let f be (-2076270404)/(-28) + 16/28. Suppose 3*p = 2*z - 58260009, -f = -2*z - 5*p - 15892530. What is z rounded to the nearest 1000000?
29000000
Let g = -81793629 + 173211785. Suppose 0 = 13*z + 16611844 + g. Round z to the nearest one hundred thousand.
-8300000
Let m = -199 - -262. Let s = m + -62.999373. What is s rounded to 4 dps?
0.0006
Let c = -771.77 + 10.77. Let x = -760.999551 - c. What is x rounded to 4 decimal places?
0.0004
Let v = 5802177458.0000247 - 5802177021. Let r = v - 437. What is r rounded to 6 decimal places?
0.000025
Let t = -163423.35507 + 163425. Let r = t - 1.63. What is r rounded to three decimal places?
0.015
Let k = -83 - -5.6. Let g = -72 + 161. Let q = g + k. Round q to the nearest integer.
12
Let t = 463.06 + -20.98. Let z = 502.5 - t. Let g = -60 + z. Round g to one decimal place.
0.4
Suppose -3*h + h + 93902 = 0. Let k = 80955 - h. Suppose 4*g - 20 = 0, 3*g - k = 4*s + 41611. Round s to the nearest one thousand.
-19000
Let a = -218 + 67. Let w = -89392737 - -89392887.999901. Let i = w + a. Round i to five dps.
-0.0001
Suppose -4*n - 24407976 = -2*k, 2*k - 5*n + 36612030 = 5*k. Round k to the nearest one hundred thousand.
12200000
Let b = -631 + 899. Let d = 90 - b. Let p = d + 192.8. Round p to the nearest integer.
15
Let c = -4033382644.63274141761 - 5947573.16725707239. Let m = 4039330239 + c. Let k = m - 21.2. What is k rounded to 7 dps?
0.0000015
Suppose 3*j + 36 = 48. Suppose -12117362 - 37442638 = j*o. What is o rounded to the nearest 1000000?
-12000000
Let b = -0.004855525 - -0.00485. What is b rounded to six decimal places?
-0.000006
Let y = -0.013 + -0.025. Let k = y + -66.962. Let v = k - -67.00118. What is v rounded to four dps?
0.0012
Suppose -3*u + 3*u - 4*u = 0. Let r be 32/5 - 24/(-40). Suppose -r*w + w - 34740 = u. What is w rounded to the nearest one thousand?
-6000
Let z = -8.414 - -8.414014686. Round z to 7 decimal places.
0.0000147
Let h = 0.71 - 3.024. Let c = 2.12 + h. Round c to two decimal pl
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the greatest common factor of 6204 and 35534444?
2068
Calculate the greatest common factor of 90029728 and 736.
736
Calculate the greatest common divisor of 2376 and 23042448.
2376
Calculate the greatest common factor of 9548 and 3457740.
1364
What is the greatest common factor of 552 and 19075073?
23
What is the greatest common factor of 4247282 and 5590?
1118
What is the greatest common factor of 12 and 8042022?
6
Calculate the highest common factor of 219 and 1102581.
3
What is the greatest common divisor of 168397 and 90041?
19
Calculate the highest common divisor of 1168370 and 118510.
70
What is the greatest common factor of 404874 and 1794?
6
What is the greatest common divisor of 5465 and 746759460?
5465
What is the greatest common factor of 1723 and 30922681?
1723
What is the greatest common factor of 34345530 and 42?
6
Calculate the highest common divisor of 2740407 and 11387.
193
Calculate the highest common divisor of 9988370 and 29300.
2930
What is the greatest common factor of 4330614 and 4131?
51
What is the greatest common factor of 1502 and 514196182?
1502
Calculate the greatest common factor of 4043426 and 2794.
254
Calculate the highest common factor of 260 and 13506935.
65
What is the greatest common factor of 600 and 54462750?
150
What is the greatest common factor of 144651094 and 184?
46
What is the highest common factor of 1968647 and 1197?
19
What is the greatest common divisor of 10767917 and 421?
421
What is the highest common divisor of 41 and 13470263?
41
Calculate the greatest common divisor of 4423720 and 57720.
1480
Calculate the greatest common divisor of 7353 and 501372.
171
Calculate the highest common divisor of 15 and 19565135.
5
What is the highest common divisor of 337393259 and 1526?
763
Calculate the greatest common divisor of 3555 and 27488445.
1185
What is the greatest common divisor of 21390362 and 1336?
334
What is the highest common factor of 174 and 3931414?
58
What is the greatest common factor of 52309 and 288031?
17
Calculate the highest common factor of 9893 and 1297505.
761
Calculate the greatest common divisor of 183954 and 105522.
258
What is the highest common factor of 6130295 and 215?
215
Calculate the highest common factor of 167886 and 7194.
6
What is the highest common divisor of 8030754 and 2613?
201
What is the highest common divisor of 3681584 and 61219?
2111
What is the highest common factor of 131039 and 91745?
59
Calculate the highest common divisor of 1769780 and 374500.
2140
What is the highest common divisor of 5936 and 195367858?
742
Calculate the greatest common factor of 2436 and 193376988.
2436
What is the highest common divisor of 13892445 and 671?
61
Calculate the greatest common divisor of 23393317 and 13837.
101
What is the greatest common divisor of 763 and 274603?
7
What is the greatest common divisor of 163390 and 68?
2
Calculate the highest common factor of 428092 and 1120.
28
Calculate the highest common factor of 1616343 and 85.
17
Calculate the highest common divisor of 105 and 376958085.
105
Calculate the greatest common factor of 748681919 and 402.
67
What is the greatest common divisor of 1590 and 23391285?
795
What is the greatest common divisor of 2865 and 106275?
15
What is the greatest common factor of 993460 and 13000?
260
What is the greatest common divisor of 17904062 and 1232?
22
What is the highest common divisor of 824 and 18935932?
412
Calculate the greatest common factor of 256 and 1350875264.
128
What is the highest common factor of 157221 and 62937?
243
What is the highest common divisor of 889 and 251692?
7
Calculate the greatest common divisor of 6072 and 1213204.
92
Calculate the highest common divisor of 8512 and 8452948.
532
Calculate the highest common factor of 1659 and 351972887.
553
Calculate the highest common divisor of 18256608 and 420.
12
Calculate the highest common divisor of 462231 and 15180.
759
Calculate the highest common divisor of 18261369 and 3528.
441
What is the highest common divisor of 5534368 and 304234?
434
Calculate the greatest common factor of 17328 and 1582883920.
5776
What is the greatest common factor of 576 and 7337136?
48
Calculate the greatest common factor of 1728 and 1931148.
108
Calculate the greatest common factor of 5112 and 216022896.
5112
Calculate the highest common factor of 819 and 1126710.
117
Calculate the highest common divisor of 66077 and 10857.
11
What is the highest common divisor of 38398829 and 3904?
61
Calculate the greatest common divisor of 2044 and 168122066.
1022
What is the greatest common divisor of 595084 and 3944236?
1604
Calculate the highest common factor of 3471 and 401648.
13
What is the highest common divisor of 2755 and 4613105?
95
Calculate the highest common factor of 62706865 and 35.
5
Calculate the highest common divisor of 1974 and 8249017.
329
Calculate the highest common factor of 255069 and 1474.
67
What is the highest common factor of 4864 and 7548448?
32
Calculate the highest common factor of 4365 and 697800540.
1455
Calculate the highest common factor of 550439008 and 16.
16
What is the highest common divisor of 113 and 11896866?
113
Calculate the greatest common factor of 1134361 and 913.
83
Calculate the highest common factor of 18 and 18742743.
9
What is the highest common factor of 45514500 and 532?
76
Calculate the greatest common divisor of 3008 and 11495072.
1504
Calculate the highest common factor of 11958868 and 47.
47
What is the highest common factor of 9789106 and 262?
262
Calculate the highest common divisor of 294164 and 34164.
52
Calculate the greatest common factor of 59 and 16923088.
59
What is the highest common factor of 23717363 and 391?
17
Calculate the greatest common factor of 18254 and 40.
2
What is the greatest common divisor of 6627 and 1655058?
141
Calculate the greatest common factor of 46845 and 22523770.
1735
Calculate the greatest common divisor of 50 and 7548750.
50
What is the highest common divisor of 19845467 and 268?
67
Calculate the greatest common factor of 11 and 28714939.
11
What is the highest common divisor of 60 and 1539140?
20
What is the greatest common factor of 110055 and 11044?
11
Calculate the greatest common factor of 519714 and 123942.
78
Calculate the greatest common factor of 238044 and 5400.
12
What is the highest common factor of 347461 and 966?
23
Calculate the greatest common factor of 9142446 and 2265.
453
What is the greatest common divisor of 36300 and 294580?
220
Calculate the greatest common factor of 2835385 and 39263.
497
What is the highest common divisor of 100865628 and 127602?
7506
Calculate the greatest common factor of 118990546 and 989.
989
What is the greatest common divisor of 2622 and 579234?
114
Calculate the highest common divisor of 48573824 and 1768.
104
What is the greatest common divisor of 6 and 2967788?
2
Calculate the greatest common divisor of 5954848 and 1703984.
6064
What is the greatest common divisor of 149731049 and 1883?
269
What is the greatest common divisor of 959 and 4008483?
137
What is the highest common divisor of 260 and 2210020?
20
What is the greatest common factor of 880 and 8572400?
80
Calculate the highest common divisor of 57580 and 8420.
20
What is the greatest common divisor of 17213226 and 30?
6
Calculate the highest common divisor of 528 and 25038024.
264
Calculate the greatest common factor of 3982510 and 11970.
70
Calculate the highest common divisor of 239495008 and 288.
32
Calculate the highest common divisor of 33 and 27950813.
11
What is the highest common divisor of 64674 and 558?
18
Calculate the highest common factor of 194 and 416232626.
194
What is the greatest common factor of 69811304 and 296?
296
Calculate the greatest common factor of 2805464 and 2696.
8
Calculate the highest common factor of 119379582 and 784.
98
Calculate the greatest common factor of 4760228276 and 17.
17
Calculate the greatest common divisor of 352374 and 344850.
1254
Calculate the greatest common factor of 976739 and 68057.
269
What is the greatest common factor of 1114043784 and 672?
168
What is the highest common divisor of 4586883 and 5?
1
Calculate the highest common divisor of 15 and 77347.
1
Calculate the greatest common divisor of 12714341 and 566.
283
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
, -2223, -3201?
-4357
What is the next term in -83, -167, -251, -335?
-419
What comes next: 15, 80, 189, 342, 539, 780?
1065
What is next in -29, -36, -57, -98, -165, -264, -401?
-582
What comes next: 110, 119, 140, 179, 242, 335?
464
What comes next: 2142, 2147, 2150, 2151, 2150, 2147, 2142?
2135
What is the next term in -27, -42, -67, -102, -147, -202, -267?
-342
What is the next term in 3, 2, -1, -6, -13, -22, -33?
-46
What is the next term in -2734, -5467, -8200, -10933, -13666?
-16399
What is the next term in -800, -736, -674, -614?
-556
What is next in 798, 797, 796, 795?
794
What is next in 40662, 40661, 40660, 40659, 40658?
40657
What is next in 435, 434, 423, 396, 347?
270
What is next in -341, -391, -441, -491, -541?
-591
What comes next: 8, -3, -38, -109, -228, -407, -658, -993?
-1424
What is next in -28, -49, -52, -31, 20?
107
What is the next term in 1973, 1974, 1975, 1976, 1977, 1978?
1979
What is next in 3, 0, 1, 6, 15, 28?
45
What is next in -21, -11, 23, 93, 211, 389?
639
What is the next term in -30, -16, 6, 36, 74, 120?
174
What is the next term in -6, -15, -22, -27?
-30
What is the next term in -18, -26, -40, -60, -86, -118, -156?
-200
What is the next term in -25, -103, -225, -385, -577?
-795
What is the next term in -1, -10, -51, -136, -277?
-486
What comes next: 1839, 1830, 1821, 1812?
1803
What comes next: -634, -632, -628, -622, -614?
-604
What is next in 641, 1280, 1919, 2558, 3197, 3836?
4475
What is the next term in -20, -20, -34, -74, -152?
-280
What comes next: -11, -11, -9, -5, 1?
9
What is next in -337, -676, -1015, -1354, -1693?
-2032
What is next in 4, -39, -104, -185, -276, -371?
-464
What comes next: 152, 142, 120, 80, 16, -78, -208, -380?
-600
What comes next: 37, 50, 81, 136, 221, 342?
505
What is the next term in 39, 36, 33, 30, 27?
24
What is next in 51, 97, 147, 201, 259, 321?
387
What comes next: -89, -190, -305, -440, -601, -794, -1025, -1300?
-1625
What comes next: -11, -26, -43, -62, -83, -106?
-131
What comes next: 21, 62, 127, 222, 353, 526, 747?
1022
What is next in -89, -120, -151, -182, -213, -244?
-275
What is next in 1671, 1673, 1675, 1677?
1679
What comes next: 1004, 1002, 1000, 998, 996?
994
What comes next: 210, 309, 408?
507
What is next in 7, -15, -71, -179, -357, -623?
-995
What comes next: 1335, 2672, 4009?
5346
What comes next: -17, -3, 23, 61, 111, 173, 247?
333
What is the next term in 93, 358, 797, 1410, 2197, 3158, 4293?
5602
What is next in 43, 59, 49, 1, -97?
-257
What is the next term in 6, 7, 8, 9, 10?
11
What is next in -2, 56, 236, 598, 1202?
2108
What is the next term in -33, -250, -839, -1986, -3877, -6698, -10635?
-15874
What comes next: -13, -56, -95, -130, -161, -188?
-211
What is next in -19, -39, -61, -85, -111?
-139
What is the next term in -491, -493, -495, -497, -499, -501?
-503
What is the next term in 10, 5, 0, -5, -10, -15?
-20
What is next in 91, 89, 87?
85
What is next in 117, 234, 347, 456, 561, 662?
759
What is next in 17, 14, 7, -4?
-19
What is next in -39, -77, -115, -153?
-191
What is next in 398, 795, 1192, 1589, 1986?
2383
What is next in 371, 365, 359, 353, 347, 341?
335
What comes next: -220, -221, -222, -223, -224, -225?
-226
What is the next term in -8, -11, -12, -11, -8?
-3
What is the next term in 75, 354, 833, 1512, 2391, 3470, 4749?
6228
What is next in 612, 608, 604, 600, 596, 592?
588
What is the next term in -1504, -1514, -1530, -1552, -1580, -1614, -1654?
-1700
What is the next term in -11, -6, 17, 70, 165, 314?
529
What comes next: 56, 231, 528, 947, 1488?
2151
What is the next term in -2710, -2705, -2700?
-2695
What is the next term in 4, 16, 34, 58?
88
What is the next term in 420, 846, 1276, 1710, 2148, 2590, 3036?
3486
What is next in 262, 524, 786?
1048
What is the next term in -20254, -40504, -60752, -80998, -101242, -121484?
-141724
What is the next term in -133, -271, -411, -553, -697, -843?
-991
What is next in -5, -5, -3, 1, 7, 15?
25
What is next in -18, -35, -52, -69?
-86
What comes next: -114, -172, -230, -288?
-346
What is the next term in 93, 90, 73, 36, -27, -122, -255, -432?
-659
What is the next term in -58, -115, -172, -229, -286, -343?
-400
What comes next: -22, -21, -20, -19?
-18
What is next in -2, 116, 320, 616, 1010, 1508?
2116
What comes next: 156, 309, 454, 591?
720
What is next in -18, -40, -78, -138, -226, -348, -510?
-718
What is the next term in -5846, -5844, -5842, -5840?
-5838
What is the next term in -58, -49, -18, 47, 158, 327?
566
What is the next term in 173, 347, 521, 695, 869, 1043?
1217
What comes next: 279, 559, 839, 1119, 1399?
1679
What is next in -885, -884, -883, -882, -881?
-880
What is the next term in -1, 22, 81, 194, 379, 654, 1037?
1546
What comes next: -63, -64, -65, -66, -67?
-68
What is the next term in -247, -492, -737, -982?
-1227
What comes next: -7, -75, -197, -379, -627, -947, -1345?
-1827
What is next in 285, 1141, 2565, 4557, 7117?
10245
What comes next: 2529, 2530, 2531, 2532, 2533?
2534
What is the next term in -923, -899, -837, -719, -527, -243, 151, 673?
1341
What is next in 90, 93, 84, 57, 6?
-75
What is next in 29, 0, -81, -208, -375, -576, -805, -1056?
-1323
What is the next term in 390, 1582, 3574, 6366, 9958?
14350
What is the next term in 188, 210, 246, 296, 360, 438?
530
What is next in -17106, -17103, -17104, -17115, -17142, -17191, -17268, -17379?
-17530
What is the next term in -3, -28, -79, -162, -283, -448, -663?
-934
What is next in -4, -8, -24, -58, -116, -204?
-328
What comes next: 25, 40, 75, 136, 229, 360?
535
What comes next: -41, -43, -45, -47, -49?
-51
What is the next term in -562, -1121, -1680, -2239?
-2798
What is next in 293, 594, 895?
1196
What is next in -3, -2, -3, -6, -11?
-18
What comes next: -41, -84, -127, -170?
-213
What is the next term in -386, -355, -322, -287, -250, -211?
-170
What is the next term in -85, -82, -79, -76?
-73
What is next in 732, 691, 652, 615, 580, 547, 516?
487
What is next in 886, 898, 924, 970, 1042, 1146, 1288?
1474
What comes next: -50, -55, -58, -59, -58?
-55
What is next in 29, 52, 91, 146, 217?
304
What comes next: -19, -53, -105, -175?
-263
What is the next term in 77, 95, 129, 185, 269, 387?
545
What is the next term in -90, -149, -208, -267?
-326
What is the next term in 12, 1, -16, -39, -68, -103?
-144
What comes next: -1967, -1966, -1965?
-1964
What is the next term in 163, 183, 219, 277, 363?
483
What is next in -1403, -2804, -4205, -5606, -7007?
-8408
What comes next: -23, -33, -43?
-53
What comes next: -911, -3633, -8163, -14495, -22623, -32541, -44243?
-57723
What is the next term in -23, -26, -31, -38, -47, -58?
-71
What is the next term in -28, -55, -82?
-109
What is the next term in -19, -20, -21?
-22
What is the next term in -58, -123, -228, -373?
-558
What is the next term in -127, -487, -1093, -1951, -3067, -4447, -6097?
-8023
What comes next: 37, 45, 59, 79, 105, 137?
175
What is next in -2985, -2987, -2989, -2991?
-2993
What is next in 9, 8, 5, 0?
-7
What is next in -155, -286, -417, -548, -679?
-810
What is next in -22, -39, -82, -163, -294, -487?
-754
What comes next: -1255, -2508, -3761, -5014, -6267, -7520?
-8773
What comes next: -10, -16, -26, -40, -58, -80?
-106
What comes next: 46, 132, 364, 814, 1554, 2656, 4192?
6234
What is next in -231, -471, -717, -975, -1251?
-1551
What is next in -876, -877, -878, -879, -880?
-881
What is next in 5, 0, -5?
-10
What is next in 257, 518, 779, 1040?
1301
What is next in 36, 57, 64, 51, 12, -59?
-168
What is next in -50, -79, -94, -89, -58, 5?
106
What is the next term in 9636, 9634, 9632?
9630
What is the next term in -16, -27, -32, -31, -24, -11, 8?
33
What is next in -517, -524, -535, -550, -569, -592?
-619
What comes next: -82, -164, -380, -796, -1478, -2492?
-3904
What is the next term in 6, -33, -146, -369, -738, -1289?
-2058
What comes next: -467, -1903, -4311, -7697, -12067?
-17427
What is next in -402, -393, -374, -339, -282?
-197
What comes next: -70, -119, -144, -145, -122, -75, -4?
91
What is the next term in -246, -489, -734, -981, -1230?
-1481
What comes next: 10, 13, 0, -41, -122, -255, -452, -725?
-1086
What comes next: -109, -199, -289, -379?
-469
What is next in 53, 90, 127?
164
What is the next term in -39, -53, -69, -87, -107?
-129
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
Is 10229 a prime number?
False
Is 1218959 prime?
False
Is 3194 a prime number?
False
Is 7901 composite?
False
Is 96601 a composite number?
False
Is 76899 a composite number?
True
Is 126979 a composite number?
True
Is 17551 a prime number?
True
Is 37397 a composite number?
False
Is 4083 a prime number?
False
Is 7111 a composite number?
True
Is 67751 a composite number?
False
Is 2161 a prime number?
True
Is 105019 a composite number?
False
Is 12982 composite?
True
Is 11027 composite?
False
Is 32539 a prime number?
False
Is 2938413 a prime number?
False
Is 4584721 a composite number?
False
Is 51607 prime?
True
Is 102433 composite?
False
Is 56081 prime?
True
Is 142697 prime?
True
Is 209831 a prime number?
False
Is 228089 a composite number?
True
Is 14227 composite?
True
Is 311099 composite?
False
Is 2930789 a prime number?
True
Is 749491 a prime number?
False
Is 485311 prime?
True
Is 432935 composite?
True
Is 64319 a prime number?
True
Is 3611 composite?
True
Is 117013 a prime number?
False
Is 13751 prime?
True
Is 25787 a prime number?
False
Is 5741103 composite?
True
Is 44041 a prime number?
True
Is 5197 composite?
False
Is 972898 prime?
False
Is 5669 a composite number?
False
Is 230999 prime?
True
Is 1641 a composite number?
True
Is 400443 a prime number?
False
Is 32567 a composite number?
True
Is 5669 prime?
True
Is 168851 composite?
False
Is 16301 a prime number?
True
Is 99041 prime?
True
Is 45286 prime?
False
Is 2936405 composite?
True
Is 1961 prime?
False
Is 22817 prime?
True
Is 51949 a prime number?
True
Is 1119 a prime number?
False
Is 202813 a prime number?
False
Is 59663 a prime number?
True
Is 3137 composite?
False
Is 3809 a prime number?
False
Is 3261 a prime number?
False
Is 671107 a prime number?
False
Is 93781 a composite number?
True
Is 2927 a prime number?
True
Is 324797 prime?
False
Is 23113 a composite number?
True
Is 90689 a prime number?
False
Is 1400719 a prime number?
False
Is 17657 composite?
False
Is 9961 a prime number?
False
Is 155605 prime?
False
Is 1711 prime?
False
Is 49499 composite?
False
Is 22339 a prime number?
False
Is 1155661 a prime number?
False
Is 17923 a composite number?
False
Is 4201 composite?
False
Is 159947 a composite number?
True
Is 31897 prime?
False
Is 5163973 a prime number?
True
Is 331 prime?
True
Is 641 a composite number?
False
Is 33791 prime?
True
Is 6711 composite?
True
Is 15769 a prime number?
False
Is 889 a composite number?
True
Is 24929 a composite number?
True
Is 34171 a composite number?
False
Is 31069 composite?
False
Is 32273 prime?
False
Is 10211 prime?
True
Is 2965 prime?
False
Is 68659 composite?
False
Is 2789 a composite number?
False
Is 203578 a prime number?
False
Is 74569 composite?
True
Is 22921 a composite number?
False
Is 4861 a prime number?
True
Is 198443 a prime number?
False
Is 108341 a prime number?
False
Is 2159 composite?
True
Is 37337 composite?
False
Is 1903 prime?
False
Is 4201 a composite number?
False
Is 157721 a prime number?
True
Is 112106 a prime number?
False
Is 217157 a prime number?
True
Is 1187 prime?
True
Is 14453 prime?
False
Is 15859 a prime number?
True
Is 326651 a prime number?
False
Is 825647 a composite number?
False
Is 46069 composite?
True
Is 1352297 a composite number?
True
Is 439851 a prime number?
False
Is 8749 a composite number?
True
Is 1337 composite?
True
Is 1151 composite?
False
Is 111899 a composite number?
True
Is 25291 a composite number?
True
Is 600771 a prime number?
False
Is 1585241 a composite number?
True
Is 39749 a composite number?
False
Is 16273 a composite number?
False
Is 75253 composite?
False
Is 18218 a composite number?
True
Is 473001 a composite number?
True
Is 151873 prime?
False
Is 137777 a composite number?
False
Is 33443 a prime number?
False
Is 1461431 prime?
False
Is 10871 composite?
True
Is 6893 composite?
True
Is 579467 composite?
True
Is 20507 prime?
True
Is 32117 a prime number?
True
Is 8301 composite?
True
Is 74257 composite?
False
Is 3076327 a prime number?
True
Is 71731 a composite number?
True
Is 237029 prime?
False
Is 949567 prime?
True
Is 37379 composite?
False
Is 304061 prime?
False
Is 4535 a composite number?
True
Is 31285 a composite number?
True
Is 182395 a prime number?
False
Is 121687 a composite number?
False
Is 15127 composite?
True
Is 5163 prime?
False
Is 289661 prime?
False
Is 2221 composite?
False
Is 550367 a composite number?
True
Is 13415 prime?
False
Is 170423 a composite number?
True
Is 2004029 a prime number?
True
Is 252427 composite?
True
Is 11279 composite?
False
Is 466787 a prime number?
True
Is 15913 a composite number?
False
Is 1059 a composite number?
True
Is 20639 composite?
False
Is 1657 composite?
False
Is 779 prime?
False
Is 7451 prime?
True
Is 157907 a composite number?
False
Is 17609 a composite number?
False
Is 51787 prime?
True
Is 314 a composite number?
True
Is 131267 a composite number?
False
Is 21911 prime?
True
Is 1829389 composite?
False
Is 977 prime?
True
Is 9753 prime?
False
Is 74147 composite?
True
Is 15693 prime?
False
Is 3647213 composite?
True
Is 15259 composite?
False
Is 13811 a prime number?
False
Is 4049 prime?
True
Is 29599 a composite number?
False
Is 16463 a prime number?
False
Is 912029 a composite number?
True
Is 1649507 prime?
True
Is 491657 a composite number?
True
Is 10913 composite?
True
Is 884447 composite?
True
Is 100237 a prime number?
True
Is 16183 a composite number?
False
Is 4939 a prime number?
False
Is 152183 a prime number?
True
Is 6385 a prime number?
False
Is 13507 prime?
False
Is 17291 a composite number?
False
Is 40735 a composite number?
True
Is 7819 a prime number?
False
Is 4979 prime?
False
Is 3353 a prime number?
False
Is 8306 a composite number?
True
Is 3671 prime?
True
Is 1146881 composite?
False
Is 30883 a composite number?
True
Is 538937 a composite number?
True
Is 2014661 a composite number?
True
Is 48797 prime?
False
Is 2119 a prime number?
False
Is 642305 a prime number?
False
Is 5939 prime?
True
Is 979 a composite number?
True
Is 92405 a composite number?
True
Is 2315905 a composite number?
True
Is 3216751 a prime number?
True
Is 35963 composite?
False
Is 22051 composite?
False
Is 276581 prime?
True
Is 110089 a composite number?
True
Is 57871 composite?
True
Is 73909 a prime number?
False
Is 76943 a prime number?
True
Is 901471 composite?
False
Is 911 a composite number?
False
Is 325867 a prime number?
False
Is 14051 prime?
True
Is 57637 a prime number?
True
Is 177 prime?
False
Is 1023133 a composite number?
False
Is 128813 prime?
True
Is 1181 a prime number?
True
Is 58361 composite?
True
Is 348911 prime?
True
Is 1481 a composite number?
False
Is 79687 a composite number?
False
Is 4553 a prime number?
False
Is 13523 composite?
False
Is 12171 prime?
False
Is 154811 a composite number?
True
Is 18589 a composite number?
True
Is 113683 a composite number?
False
Is 1717 a prime number?
False
Is 5533 prime?
False
Is 173623 a prime number?
False
Is 17903 a prime number?
True
Is 3314 prime?
False
Is 182633 composite?
True
Is 244837 composite?
False
Is 5737 a prime number?
True
Is 1336487 prime?
True
Is 1937 composite?
True
Is 13207 prime?
False
Is 31469 a prime number?
True
Is 3389 a prime number?
True
Is 6428303 a composite number?
True
Is 20477 a composite number?
False
Is 709 a prime number?
True
Is 40699 a prime number?
True
Is 1594 prime?
False
Is 326195 composite?
True
Is 16129 composite?
True
Is 2855 prime?
False
Is 139393 prime?
True
Is 4981 a composite number?
True
Is 3276453 composite?
True
Is 827249 prime?
False
Is 5907035 prime?
False
Is 62209 prime?
False
Is 53773 a prime number?
True
Is 253235 prime?
False
Is 13859 prime?
True
Is 8513 prime?
True
Is 112973 prime?
False
Is 1757 prime?
False
Is 32353 a prime number?
True
Is 817 a composite number?
True
Is 10369 prime?
True
Is 5469 a prime number?
False
Is 146191 a composite number?
False
Is 47983 a prime number?
False
Is 10167 a composite number?
True
Is 22667 composite?
True
Is 129527 a prime number?
True
Is 98773 a composite number?
False
Is 104863 a composite number?
True
Is 250889 composite?
False
Is 5447 composite?
True
Is 41291 prime?
False
Is 260399 a prime number?
True
Is 20647 composite?
True
Is 168743 composite?
False
Is 608873 a composite number?
False
Is 4867 a
|
{
"pile_set_name": "DM Mathematics"
}
|
5741*l + 122 - 122 - 5741*l.
-53*l**3
Collect the terms in 95689 - 95689 + 4*j**2.
4*j**2
Collect the terms in 3*q + 30*q + 2 - 2 - 4*q - 9*q.
20*q
Collect the terms in -6*d**2 + 184*d**2 - 725*d**2 - 635*d**2.
-1182*d**2
Collect the terms in 65*c**2 - 128*c**2 + 68*c**2.
5*c**2
Collect the terms in -1 + 1 - 55*u**3 + 568*u**3.
513*u**3
Collect the terms in -12053051*i**2 - 56*i**3 + 12053051*i**2.
-56*i**3
Collect the terms in -2 + 433*c + c**3 + 12 - 419*c.
c**3 + 14*c + 10
Collect the terms in 132*y**3 - 501*y**3 - 356*y**3 + 105*y**3.
-620*y**3
Collect the terms in -294*w + 73*w + 193*w.
-28*w
Collect the terms in 7 + 4 - 11 + 109*a**2.
109*a**2
Collect the terms in 996*l**3 + 3 - 2 - 328*l**3 - 332*l**3 - 337*l**3.
-l**3 + 1
Collect the terms in -2*l**2 - 254*l**3 + 105*l**3 - 100*l**3 + 2*l**2.
-249*l**3
Collect the terms in 3*s**3 + 15*s**3 + 3*s**3 - 7*s**3 + 23*s**3.
37*s**3
Collect the terms in -125*l**2 - 356*l**2 - 424*l**2.
-905*l**2
Collect the terms in 55*i - 33*i - 21*i.
i
Collect the terms in -569*c**2 + 28 - 28 + 257*c**2.
-312*c**2
Collect the terms in 13 + 4 - 3 - 81*u**2 - 14.
-81*u**2
Collect the terms in -1514*g**2 + 937*g**2 + 12282*g**2.
11705*g**2
Collect the terms in 16*t**3 + t**3 - 49*t**3 + 11*t**3.
-21*t**3
Collect the terms in 69*l**3 + 63*l**3 + 18*l**3.
150*l**3
Collect the terms in 78300*l + 78295*l + 799*l**2 - 156595*l.
799*l**2
Collect the terms in 48*j + 2*j + 27*j + 69*j.
146*j
Collect the terms in 108*v + 94*v**2 - 219*v + 109*v.
94*v**2 - 2*v
Collect the terms in -2*h**3 - 6 - 6*h**3 + 9 - 4 - h**3.
-9*h**3 - 1
Collect the terms in 6*d + 14*d + 4*d - 25*d + 45 + 10.
-d + 55
Collect the terms in -2 + 258*i - 127*i - 1040*i.
-909*i - 2
Collect the terms in -4*x**3 - 1608445 + 1608445.
-4*x**3
Collect the terms in -4218*x**3 - 2*x**2 + 2*x**2 + 0*x**2 + 4222*x**3.
4*x**3
Collect the terms in -5*p + 2*p + 10239 + 11*p - 10239.
8*p
Collect the terms in 44*d**3 + 54*d**3 + 3*d - 143*d**3 - 3*d + 54*d**3.
9*d**3
Collect the terms in -2348 + 3*x - 2926 - 3*x + x.
x - 5274
Collect the terms in -146*l**2 - 47*l**2 - 19 + 19.
-193*l**2
Collect the terms in 292*j**3 - 863*j**3 + 297*j**3 + 281*j**3.
7*j**3
Collect the terms in -188*g**3 + 332*g**3 - 120*g**3.
24*g**3
Collect the terms in 8 - 8 - 1144*s**2 + 2287*s**2 - 1165*s**2.
-22*s**2
Collect the terms in -11 - 334883*o**3 + 11.
-334883*o**3
Collect the terms in 12*b**2 - 11*b**2 + 1437*b + 4367*b - 1.
b**2 + 5804*b - 1
Collect the terms in -111408*f**2 - 111664*f**2 + 223071*f**2.
-f**2
Collect the terms in -182*c - 149*c - 189*c + 518*c.
-2*c
Collect the terms in -4627068446*o - 2*o**3 + 4627068446*o.
-2*o**3
Collect the terms in -857*r**2 + 245*r**2 + 416*r**2.
-196*r**2
Collect the terms in -14*c**2 - 3567*c + 3567*c + 1 - 1.
-14*c**2
Collect the terms in h**2 - 129*h + 466*h - 121*h - 127*h - 89*h.
h**2
Collect the terms in 772*z - 296*z - 234*z - 234*z.
8*z
Collect the terms in 11417*t + 11413*t - 22830*t + 7*t**3 - 4*t**3.
3*t**3
Collect the terms in -6*c**2 - 198 + 42 + 44 + 112.
-6*c**2
Collect the terms in -64*l**3 - 123*l**2 + 123*l**2 + 2192*l**3.
2128*l**3
Collect the terms in -2225*c**2 + 9 - 670*c**2 + 701*c**2 - 7.
-2194*c**2 + 2
Collect the terms in 19*y**3 + 102134 - 102134.
19*y**3
Collect the terms in -10*r**2 - 5 + 5 - 8*r**2 + 0.
-18*r**2
Collect the terms in 42*g**2 + 26*g**2 - 38*g**2 - 25*g**2.
5*g**2
Collect the terms in -299557*v + 3*v**3 + 599118*v + 0*v**3 - 299561*v.
3*v**3
Collect the terms in 29*t - 163*t - 935*t + 19*t - t**2.
-t**2 - 1050*t
Collect the terms in -3*k + 7*k + 8*k - 13*k - 2*k.
-3*k
Collect the terms in 315*d**3 + 158*d**3 + 312*d**3 - 256*d**3.
529*d**3
Collect the terms in -4*g**3 - 222587*g + 222587*g.
-4*g**3
Collect the terms in 470 - 1068 + 598 + z**3.
z**3
Collect the terms in 32051*g**3 + 32133*g**3 - 64181*g**3.
3*g**3
Collect the terms in -1233 + 48961*f**2 - 48960*f**2 + 218.
f**2 - 1015
Collect the terms in 68*z + 113*z - 131*z - 276*z - 285*z.
-511*z
Collect the terms in -2*d + d + 0 - 22 + 9.
-d - 13
Collect the terms in 1212*c + 1187*c - 3586*c + 1186*c.
-c
Collect the terms in 4373226*c**2 - 2186615*c**2 - 2186611*c**2 + 18*c**3.
18*c**3
Collect the terms in -123 - 104 - 118 - 5*k + 345.
-5*k
Collect the terms in 21*u - 12*u - 72*u - 52*u - 2.
-115*u - 2
Collect the terms in -430*r**2 + 313 + 431*r**2 + 191.
r**2 + 504
Collect the terms in 5*x**2 - 684 - 686 - 687 + 2057.
5*x**2
Collect the terms in 2*x + 571 - 1220 + 544.
2*x - 105
Collect the terms in 30 - 169*w - 131*w + 103*w.
-197*w + 30
Collect the terms in -312*g**2 - 57*g**2 - 9*g**2.
-378*g**2
Collect the terms in -345*c**3 - 85931*c + 85931*c.
-345*c**3
Collect the terms in -21*w + 12*w**2 + 12*w + 11*w - 2*w.
12*w**2
Collect the terms in 857*j + 902*j - 1706*j.
53*j
Collect the terms in -92*i**3 + 28*i**3 + 66*i**3.
2*i**3
Collect the terms in -625 + 3*y + 1257 - 618.
3*y + 14
Collect the terms in -675*p - 42111*p**2 + 675*p + 42137*p**2.
26*p**2
Collect the terms in -53*z**2 + 16945*z + 50*z**2 - 16945*z.
-3*z**2
Collect the terms in -82 + 364*o - 82 + 164.
364*o
Collect the terms in -3*q**2 - 50 + 3*q**2 + 391*q**3 + 0*q**2.
391*q**3 - 50
Collect the terms in 2*f + 64*f**2 + 82 - 81 + 79*f**2.
143*f**2 + 2*f + 1
Collect the terms in 11942*h**2 + 1507*h**2 + 2390*h**2.
15839*h**2
Collect the terms in 412*w**2 + w**2 - 449*w**2.
-36*w**2
Collect the terms in -5*v**3 + 15*v**3 + 349*v**2 - 349*v**2.
10*v**3
Collect the terms in -3334*v - 16 - 2556*v + 16.
-5890*v
Collect the terms in 140*p**3 + 365*p**3 - 170*p**3.
335*p**3
Collect the terms in -1 + 1 + 48*l + 41*l - 36*l.
53*l
Collect the terms in 21 - 17 + 2*n - 8 + 17.
2*n + 13
Collect the terms in 2*i**2 - 436*i**3 + 0*i**2 + 420*i**3 - 2*i**2.
-16*i**3
Collect the terms in -314703*y**2 + 630372*y**2 - 315666*y**2.
3*y**2
Collect the terms in 540*p**2 + 579*p**2 + 540*p**2 + 543*p**2 + 534*p**2 - 2735*p**2.
p**2
Collect the terms in 2417 + o**2 - 1089 - 1328 - 3*o**2.
-2*o**2
Collect the terms in -8*i**3 + 5040643 - 5040643.
-8*i**3
Collect the terms in 125 + 131 + 30*f**3 + 9*f**3 - 256 - 13*f**3.
26*f**3
Collect the terms in i**3 - 585054*i**2 + 292518*i**2 + 292536*i**2.
i**3
Collect the terms in -283139 + 123*k + 283139.
123*k
Collect the terms in -10*c - 4*c - 9 - 20*c.
-34*c - 9
Collect the terms in 4 - 1 - 2 + 2 + 24 - 3*y**2.
-3*y**2 + 27
Collect the terms in 1032*w**2 - 5 + 3 - 178*w**2 + 3.
854*w**2 + 1
Collect the terms in -1977 + 1977 - 3*l - l.
-4*l
Collect the terms in -20*z - 6 + 42*z - 20*z - 18.
2*z - 24
Collect the terms in -1015*m**3 - 321*m**3 - 1336*m**3.
-2672*m**3
Collect the terms in -4 + 71060*t + 4 + 5*t**2 - 71060*t.
5*t**2
Collect the terms in -193*n**2 + 109*n**2 - 9*n**2 - 306*n**2.
-399*n**2
Collect the terms in -3988*t**3 + 0 - 3982*t**3 + 0 + 7965*t**3.
-5*t**3
Collect the terms in 7363*i + 7365*i - 14736*i.
-8*i
Collect the terms in -11*z**3 + z**3 - 39 - 5 + 11 - 31.
-10*z**3 - 64
Collect the terms in -3*y + 4062 - 2*y + 4*y + 0*y + 2*y.
y + 4062
Collect the terms in 3 + 51*k - 49*k + 3*k**2 - k**2 + 17*k**2.
19*k**2 + 2*k + 3
Collect the terms in -26*p**2 + 995*p**3 + 13*p**2 + 13*p**2 - 489*p**3.
506*p**3
Collect the terms in -26*b**3 - 43*b + 48*b - 5*b.
-26*b**3
Collect the terms in -6*s**2 - 46555 + 2*s**3 + 6*s**2 - 46561 + 93116.
2*s**3
Collect the terms in -2158 - 76*y + 1140 + 1018.
-76*y
Collect the terms in -3485*a + 3479*a + 5 - 5.
-6*a
Collect the terms in 16*f**2 + 8*f**2 - 39*f**2 + 10*f**2 + 13*f**2.
8*f**2
Collect the terms in 10901*g + 10859*g - 21734*g.
26*g
Collect the terms in -274*o**2 + 56*o**2 + 198*o**2.
-20*o**2
Collect the terms in -2*r**2 + 475*r - 475*r - 18.
-2*r**2 - 18
Collect the terms in 2*n + 38 + 70 - 92 + 330.
2*n + 346
Collect the terms in -16*j**2 + 1 - 2*j**2 + 12 + 36*j**2 - 17*j**2.
j**2 + 13
Collect the terms in 1893334 + 9*a - 1893334.
9*a
Collect the terms in 87832*j**3 + j - 87810*j**3 - j.
22*j**3
Collect the terms in -261*b + 30681210*b**2 - 30681218*b**2 + 261*b.
-8*b**2
Collect the terms in -17 + 3 + 13 + 3*l**2.
3*l**2 - 1
Collect the terms in 141 - 4094*t - 1273*t - 141.
-5367*t
Collect the terms in -592*j**2 + 257*j**2 + 833*j**2.
498*j**2
Collect the terms in -81*m**3 + 10*m**3 + 306 - 33 +
|
{
"pile_set_name": "DM Mathematics"
}
|
nator of 43/14569 and 3/17?
14569
What is the common denominator of 133/3660 and -109/100?
18300
Calculate the least common multiple of 215576 and 24.
646728
What is the common denominator of -46/48561 and 107/97122?
97122
What is the lowest common multiple of 80154 and 6588?
480924
Calculate the least common multiple of 21 and 50787.
355509
Calculate the common denominator of -29/12 and 81/844.
2532
What is the common denominator of 151/311610 and 61/20?
623220
Calculate the lowest common multiple of 13275 and 150.
26550
Calculate the least common multiple of 1449 and 1610.
14490
Find the common denominator of -59/3 and -73/45351.
45351
Find the common denominator of -73/4 and -39/1988.
1988
Calculate the common denominator of 143/31788 and -59/198.
349668
Calculate the common denominator of -7/16825 and -39/200.
134600
Calculate the smallest common multiple of 2040 and 2380.
14280
Calculate the lowest common multiple of 56 and 11438.
45752
Calculate the common denominator of 95/8 and 107/3498.
13992
What is the common denominator of 59/845640 and 74/317115?
2536920
What is the smallest common multiple of 90 and 3195?
6390
Find the common denominator of 3/7598 and -1/3886.
509066
What is the lowest common multiple of 352 and 29792?
327712
What is the lowest common multiple of 99 and 87054?
261162
What is the common denominator of 11/44604 and 65/4?
44604
What is the common denominator of -67/11916 and 179/180?
59580
Calculate the smallest common multiple of 276 and 2576.
7728
Calculate the smallest common multiple of 6223 and 8890.
62230
Find the common denominator of 49/1320 and -149/10560.
10560
What is the least common multiple of 25308 and 15466?
278388
Calculate the lowest common multiple of 1210 and 1178.
712690
Find the common denominator of 93/416 and 41/68692.
549536
What is the least common multiple of 1015 and 6090?
6090
Calculate the least common multiple of 4056 and 1690.
20280
What is the least common multiple of 1710 and 12996?
64980
What is the lowest common multiple of 288 and 579056?
10423008
What is the common denominator of -6/92807 and -37/84370?
928070
What is the lowest common multiple of 27872 and 20?
139360
Find the common denominator of -173/966 and -71/1501716.
10512012
Calculate the least common multiple of 15 and 2241759.
11208795
Calculate the common denominator of -18/7 and 10/112959.
112959
What is the lowest common multiple of 19220 and 15376?
76880
What is the least common multiple of 124184 and 1720?
620920
What is the lowest common multiple of 490 and 5733?
57330
Find the common denominator of 32/385 and -121/203370.
15659490
Calculate the least common multiple of 44198 and 14014.
574574
What is the least common multiple of 58014 and 14064?
464112
Calculate the common denominator of 83/5260 and 65/271416.
1357080
Find the common denominator of 51/592 and 93/934.
276464
Calculate the common denominator of -173/69426 and 179/21546.
624834
Calculate the smallest common multiple of 23786 and 10.
118930
What is the common denominator of -2/1175 and 41/235?
1175
What is the lowest common multiple of 26365 and 5?
26365
Find the common denominator of 55/4 and -49/134934.
269868
What is the least common multiple of 5700 and 38760?
193800
Calculate the lowest common multiple of 2490080 and 315200.
24900800
Calculate the common denominator of -167/16770 and 44/2385.
2666430
What is the lowest common multiple of 35036 and 76?
35036
What is the common denominator of -94/111255 and 29/175?
3893925
Calculate the lowest common multiple of 147 and 130704.
914928
What is the common denominator of -25/2 and -5/1962601?
3925202
Find the common denominator of 23/3582 and 21/8.
14328
Calculate the common denominator of -37/7100 and 107/1420.
7100
Calculate the common denominator of -50/13283 and -25/259.
92981
Calculate the smallest common multiple of 18 and 1777842.
1777842
What is the common denominator of 22/1017 and -44/675?
76275
Calculate the smallest common multiple of 36 and 1053212.
9478908
What is the common denominator of -37/96770 and 73/58062?
290310
Calculate the common denominator of -101/10682 and 121/45780.
320460
Calculate the lowest common multiple of 52920 and 14112.
211680
What is the common denominator of -31/495 and -58/6183?
340065
Calculate the smallest common multiple of 84408 and 84408.
84408
What is the common denominator of -5/10208 and -1/194880?
2143680
What is the lowest common multiple of 20 and 65592?
327960
Calculate the lowest common multiple of 97 and 2014.
195358
Calculate the smallest common multiple of 150 and 1060.
15900
What is the lowest common multiple of 693 and 6489?
71379
What is the common denominator of -13/25 and -113/81470?
407350
Find the common denominator of 43/98 and -59/546.
3822
What is the common denominator of -23/17589 and -103/38376?
422136
What is the common denominator of 11/74562 and -23/8772?
149124
Calculate the smallest common multiple of 178760 and 10.
178760
Calculate the common denominator of 157/79620 and -28/9.
238860
Calculate the least common multiple of 20 and 4262252.
21311260
What is the smallest common multiple of 8439 and 6?
16878
Calculate the common denominator of -83/4930 and -133/2958.
14790
What is the lowest common multiple of 15 and 36009?
180045
Calculate the common denominator of 131/143550 and -48/1925.
1004850
What is the smallest common multiple of 29 and 1389?
40281
What is the lowest common multiple of 67020 and 36?
201060
Calculate the least common multiple of 27664 and 180880.
2351440
Calculate the lowest common multiple of 990 and 51570.
567270
Find the common denominator of 133/144 and -19/3696.
11088
Calculate the lowest common multiple of 419395 and 10.
838790
Calculate the common denominator of 79/14464 and -10/113.
14464
What is the common denominator of 95/12 and 89/1590428?
4771284
What is the smallest common multiple of 37962 and 12654?
37962
Calculate the lowest common multiple of 4424 and 112.
8848
What is the common denominator of -44/22057 and 3/161?
22057
Find the common denominator of -10/47553 and -74/38907.
427977
What is the lowest common multiple of 5964 and 1806?
256452
Calculate the smallest common multiple of 106022 and 252.
1908396
Calculate the least common multiple of 11 and 53913.
593043
Calculate the lowest common multiple of 175770 and 3402.
527310
What is the common denominator of -93/15580 and 83/130?
202540
Calculate the lowest common multiple of 232935 and 87.
6755115
Calculate the lowest common multiple of 6180 and 3960.
407880
What is the common denominator of -107/384 and 31/19008?
38016
Calculate the common denominator of -14/5 and -38/96685.
96685
Calculate the common denominator of 33/16 and 43/175712.
175712
Calculate the lowest common multiple of 14 and 520514.
3643598
Find the common denominator of -13/11 and 101/60950.
670450
Find the common denominator of 61/4216 and 91/9280.
4890560
What is the common denominator of -101/10608 and 47/546?
74256
Calculate the common denominator of 73/28126 and 79/1394.
478142
What is the smallest common multiple of 105278 and 368473?
736946
What is the smallest common multiple of 847067 and 253?
9317737
Calculate the common denominator of -59/7052 and -23/135.
952020
Calculate the common denominator of 33/64 and 131/11328.
11328
What is the lowest common multiple of 42 and 145670?
437010
Find the common denominator of -95/421542 and 49/22.
421542
Calculate the least common multiple of 37632 and 384.
37632
What is the common denominator of -109/19920 and 167/29880?
59760
What is the lowest common multiple of 4114 and 211871?
423742
What is the common denominator of -107/40 and 31/2872?
14360
Calculate the common denominator of -145/3204 and 59/17088.
51264
Calculate the smallest common multiple of 190 and 432.
41040
Calculate the common denominator of -97/700854 and -141/2870.
3504270
Find the common denominator of -62/9 and 10/16201.
145809
What is the common denominator of 59/11895 and -88/45?
35685
Calculate the common denominator of -88/6345 and 91/16920.
50760
Find the common denominator of 26/93447 and -113/36.
373788
Find the common denominator of 79/464254 and -37/33161.
464254
Find the common denominator of 77/18411 and 49/5814.
110466
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
*v - 10653894*i + 11294*v wrt v?
-201*i + 11294
Differentiate 29*h**2*y**2 + 16*h**2 + 2315*h*y**2 + 6539377*y**2 + 6*y wrt h.
58*h*y**2 + 32*h + 2315*y**2
Differentiate -9200808*h*t - 97929*t wrt h.
-9200808*t
Find the third derivative of -719419654*b**6 + 5*b**2 + b + 14942188.
-86330358480*b**3
What is the first derivative of -243910783*b + 86438883?
-243910783
Find the third derivative of 3*j*l**3*z + 12147*j*l**2*z + 609*j*v + 3*l**3*v*z - 295964*l**3*v + 3*l**2*v + 2*l*v*z wrt l.
18*j*z + 18*v*z - 1775784*v
What is the third derivative of 1793*b**3*c*h**3 + 410*b**3*h**3 + 2*b**2*c*h**3 + 1244*b**2*c*h**2 - 2*b**2*c*h + b*c*h - b*c - 9*b*h**3 wrt b?
10758*c*h**3 + 2460*h**3
What is the third derivative of -3898974*k**3*w**2 + 3*k**2*w**2 - 565*k**2 + 2*k*w**2 + k + 6*w wrt k?
-23393844*w**2
What is the third derivative of -1136552740*x**4 + 51066*x**2 - 151*x + 1 wrt x?
-27277265760*x
Differentiate 53110089*o - 25880388 wrt o.
53110089
Find the first derivative of -3*g*w**2 - 12993*g*w + 425*g + 87*w**2 - 35858*w + 1 wrt g.
-3*w**2 - 12993*w + 425
Differentiate -48350671*u**2 + 39597908 wrt u.
-96701342*u
What is the derivative of -26361739*c**3 + 76703415 wrt c?
-79085217*c**2
Find the third derivative of 181203*v**3*w + 4*v**3 + 243*v**2*w + v**2 + 2*v*w - 124 wrt v.
1087218*w + 24
What is the second derivative of -5*h**5 - 60841*h**2 - 265813*h?
-100*h**3 - 121682
Find the second derivative of 4*b*v**2*y**2 + 2*b*y**2 + 24215*b - 5925813*v**2*y**2 + 2*v*y**2 - 241*y**2 wrt v.
8*b*y**2 - 11851626*y**2
What is the third derivative of 78234*b**4 + 22*b**3 - 1346095*b**2 - b wrt b?
1877616*b + 132
Find the second derivative of 21*n*o**3 + 72*n*o**2 - 2*n*o - 3118*o**2 + 25479812*o wrt o.
126*n*o + 144*n - 6236
Find the second derivative of 98204*f**4 + 46*f**2*z**3 + 7383*f*z + 973*z**3 - 1 wrt f.
1178448*f**2 + 92*z**3
What is the third derivative of c**2*w**3 + 2*c**2*w**2 - 41*c**2*w + 4516*c**2 - 794328*c*w**3 + c - 15*w**3 + 2*w wrt w?
6*c**2 - 4765968*c - 90
What is the second derivative of -10*r**5 + 1112045*r**4 + 9534581*r - 2?
-200*r**3 + 13344540*r**2
What is the derivative of 6885*g*m + 19026*g*q**2 - 9*m**2*q**2 + 4310*m**2 + 72*q**2 wrt q?
38052*g*q - 18*m**2*q + 144*q
Find the third derivative of 14*c**2*u**5 - 2*c**2*u**2 - 6*c**2 - 3*c*u - 3778*c - 193200*u**6 wrt u.
840*c**2*u**2 - 23184000*u**3
Differentiate 410*u*w**2 + 474807*u*w + 152689352*w**2 with respect to u.
410*w**2 + 474807*w
Find the third derivative of 24678*n**4 + 420*n**3 - 14472*n**2 - 1942.
592272*n + 2520
Differentiate 1098864*j**3*q**2 + 8874226*q**2 + 2*q - 3 wrt j.
3296592*j**2*q**2
Differentiate -130523*u**4 + 95*u**2 - 248634891 with respect to u.
-522092*u**3 + 190*u
What is the derivative of -1971*m*u - m*v**2 + 351*m - 4*u**4*v - 68*u*v**2 - 159*v wrt u?
-1971*m - 16*u**3*v - 68*v**2
What is the first derivative of -37913*m*r + 14*m - 21*r + 105907 wrt r?
-37913*m - 21
What is the third derivative of i**3*k**3 + 933377*i**3*k**2 + 2*i**2*k**3 + 5733*i**2*k**2 - 4*k - 3 wrt i?
6*k**3 + 5600262*k**2
Differentiate 3384831*l**2 + 29316035 wrt l.
6769662*l
Differentiate -2875*d**4 - 585*d*p**3 + 27411*p**3 - 86 with respect to d.
-11500*d**3 - 585*p**3
Find the third derivative of -1576*b**6 + 201*b**5 + 3*b**3 - 47795312*b**2 wrt b.
-189120*b**3 + 12060*b**2 + 18
Find the third derivative of -71112071*k**4 - 150889*k**2 - 2*k - 127 wrt k.
-1706689704*k
Differentiate -n*r**3 + 26430*n*r + 493*n - 57347237*r**3 wrt n.
-r**3 + 26430*r + 493
Find the first derivative of 517729472*u + 12877857 wrt u.
517729472
What is the third derivative of 7*n**4 + 3*n**3*y - 1443348*n**3 + 2*n**2*y + 9*n**2 - 3*n*y + 3*n + 529*y + 65 wrt n?
168*n + 18*y - 8660088
Differentiate 22332*h**3*l**2 + 52*h**3 - 945846802*l**2 wrt h.
66996*h**2*l**2 + 156*h**2
What is the first derivative of 7450808*v**3 + 11021658 wrt v?
22352424*v**2
Find the first derivative of -i**4 - 874*i**3 + 5250*i - 219774852 wrt i.
-4*i**3 - 2622*i**2 + 5250
Differentiate -141672443*c + 143663959 wrt c.
-141672443
What is the derivative of -2*b**2*m + 12587903*b**2 + b*m - 70357812*m wrt b?
-4*b*m + 25175806*b + m
Find the first derivative of -1573*f**2*n**3 + 406*f**2*n + 5*f**2 + f*n - 93*f - 2893 wrt n.
-4719*f**2*n**2 + 406*f**2 + f
Find the third derivative of 34752787*j*m**3 + 872*j*m + 545*m**2 + 2*m wrt m.
208516722*j
What is the second derivative of 453*k**5 - 387*k**3 - 15*k**2 - 31403470*k wrt k?
9060*k**3 - 2322*k - 30
What is the derivative of -501858521*v + 772141339 wrt v?
-501858521
Find the third derivative of -12481059*h**6*y**2 + h**3*y**2 - 49*h**2*y**2 + 3152*h**2*y + 2*h**2 - 6*y**2 - y wrt h.
-1497727080*h**3*y**2 + 6*y**2
Find the second derivative of 559132638*b**2 + 484976515*b wrt b.
1118265276
What is the second derivative of -136262251*z**2 - 739248153*z wrt z?
-272524502
What is the second derivative of -111805411*y**2 - 120109*y - 71 wrt y?
-223610822
Find the first derivative of -2*f**2 + 6713841*f - 11192450 wrt f.
-4*f + 6713841
Find the second derivative of -16498573*g**2 + 101306749*g wrt g.
-32997146
What is the third derivative of 2*k**5 + 28149422*k**3 + 63*k**2 + 2275*k - 113 wrt k?
120*k**2 + 168896532
What is the third derivative of 7784246*d**3 - 585*d**2 - 52*d - 20 wrt d?
46705476
What is the second derivative of -51*p**3*v**3 - 4553*p**3*v + 155*p**3 - 34751*v**5 - 3*v wrt v?
-306*p**3*v - 695020*v**3
Find the second derivative of 2215*k**2*z - 1256*k**2 - 911*k*z - 14339*z wrt k.
4430*z - 2512
What is the second derivative of 426466489*c**4*x + 72793*c*x + 10*c + 91*x wrt c?
5117597868*c**2*x
What is the second derivative of 16882*f*p**2*w + 597*f*p*w**3 - f*p*w + 16214*f - 87*p**2*w**3 + 48*p**2 wrt p?
33764*f*w - 174*w**3 + 96
What is the third derivative of -2*q**3*u**3 + 3285*q**3*u**2 - 4*q**3*u + 54*q**2*u**2 - u**3 - u**2 + 1987 wrt q?
-12*u**3 + 19710*u**2 - 24*u
Find the second derivative of -18199145*m**2*w + 1298*m*w + 7*m - 19*w wrt m.
-36398290*w
What is the derivative of -1533*v*w - 189618148*v - 5442*w**2 wrt w?
-1533*v - 10884*w
Find the second derivative of -108*r**3*u + 14*r**3 + 80*r**2*u - 32*r**2 + 2*r*u - 2*r - 123029004*u wrt r.
-648*r*u + 84*r + 160*u - 64
Differentiate 12*i**2*m + 538*i**2*y**2 - 8*i**2 + 169959*i*m - 132278*i*y - 3*m*y**2 + 4 with respect to y.
1076*i**2*y - 132278*i - 6*m*y
Find the first derivative of -10*s**3 - s**2 - 267124*s - 3332601 wrt s.
-30*s**2 - 2*s - 267124
Differentiate -709*a*h**2 - 13*a*h - 243*a + 8911757*h**2 + 1 with respect to a.
-709*h**2 - 13*h - 243
Find the second derivative of 3*k**3 - 131992*k**2 - 560*k - 4.
18*k - 263984
Differentiate 426574156*u**3 + 106638425.
1279722468*u**2
Differentiate -54443*w**2 + 745*w + 849323950 with respect to w.
-108886*w + 745
What is the second derivative of 498316638*p**4 + 424454218*p wrt p?
5979799656*p**2
What is the second derivative of 37656*g*n**3 - g*n**2 - 4*g*n + 8*g + 30*n**3 - 44953 wrt n?
225936*g*n - 2*g + 180*n
What is the second derivative of -36787*b**2*i**2*t + 5*b**2*t - 11*b*i**2 + 9*b*i*t + 5669*b + 2*i**2*t wrt b?
-73574*i**2*t + 10*t
What is the second derivative of -1092639386*k**2*o**2 + 1897*k*o**2 + 25875*o**2 wrt k?
-2185278772*o**2
What is the third derivative of 388*k**2*r**3 + 136*k**2*r**2 - 6434*k**2*r - k*r + 2*k - 22568*r**3 + 51*r wrt r?
2328*k**2 - 135408
Find the third derivative of 2966682*f**2*w**3 + 11*f**2*w**2 - 103*f**2*w + f**2 + 3*f*w**2 - w**3 - 285 wrt w.
17800092*f**2 - 6
What is the derivative of 35*s**2 - 25006*s + 3053389 wrt s?
70*s - 25006
Find the third derivative of -4923228*l**4 + 3*l**2 + 124818*l - 1 wrt l.
-118157472*l
Find the third derivative of 2635054*j**3*k**2*v - 610*j**2*k - j*k**2*v - 5603*j*k*v wrt j.
15810324*k**2*v
Find the second derivative of -164*o**3*t**2 + 2344*o**2*t*v + 214*o*t**2*v - 49*o*v - 27*t**2*v wrt o.
-984*o*t**2 + 4688*t*v
What is the first derivative of 10606216*d**3 - 7499337?
31818648*d**2
Find the first derivative of 151337*t**3 - t - 1008706.
454011*t**2 - 1
What is the second derivative of -81543596*b**3 - 1508916776*b wrt b?
-489261576*b
What is the third derivative of -79934735*l*o**3 - 128703*l*o**2 + 414*l + 2 wrt o?
-479608410*l
Differentiate -22727
|
{
"pile_set_name": "DM Mathematics"
}
|
t m = 370 + r. Which is the closest to 0.1? (a) -1/4 (b) -5 (c) m (d) -4/5
c
Let p = 3579.1 + -3730. Let d = 151 + p. Let k = 7 + -7.3. Which is the nearest to d? (a) 2/3 (b) k (c) 2/11
c
Let k = 524 - 524.2. Let h = 58.9 + -9.9. Let t = 46 - h. What is the nearest to k in 0, 4, t?
0
Let t = -1145 + 756. Let q = 385 + t. Let s = 0.1 + -0.3. Which is the closest to s? (a) -1/2 (b) q (c) -8/3
a
Let t = -251.6 + 252. Let i = 0.56 + -0.36. Which is the nearest to 7/4? (a) i (b) t (c) 1/4
b
Let z = 2536 - 2536.4. Let k = 33 - 98/3. What is the closest to k in -18/5, z, -1/5?
-1/5
Suppose 8*s + 544 = 368. Let o be 11/s + (-1)/(-2) + 4. Which is the nearest to 1/5? (a) 0.5 (b) -4 (c) 5 (d) o
a
Let p be (-724)/4706 + (-2)/156 - 1/(-6). What is the nearest to p in 2/17, 426, -3?
2/17
Let c = 1 + -1.1. Let i = 151/4 - 38. Let z = -3/2 + 25/14. What is the closest to c in -5, i, z?
i
Let u(i) = -i**3 - 55*i**2 - 103*i + 159. Let y be u(-53). What is the closest to 55 in -0.1, 4, y?
4
Let b = 803.1 - 803. Let m = 0.27 - -11.03. Let l = m + -11. What is the closest to b in l, 6/11, 5?
l
Let y = -36631 - -36630. What is the nearest to 0.1 in y, 35, 1/3?
1/3
Let p(o) = 7*o**2 + 6*o - 11*o**2 + 3*o**2 + 22. Let s be (-5)/15 + ((-31)/(-3) - 1). Let c be p(s). What is the nearest to -1 in -2, 5, c?
-2
Let q = 0.07057 - 15.07057. Which is the nearest to q? (a) 8 (b) 1/3 (c) 3 (d) 5
b
Let z be (-25380)/22275 + ((-46)/69 + 17/(-15) - -3). Let b = 6 - 11. What is the nearest to b in z, -1, 5?
-1
Let j = 189 + -167.1. Let x = j - 22.2. Let g = 0 + 0.1. Which is the nearest to -1? (a) g (b) x (c) 2
b
Let i be 2/(-10)*-3 - (36 + -35). Let j = 218.5 - 219. What is the closest to -1 in 5, 8, i, j?
j
Let r = -87.076906 - 0.032094. Let m = r + 0.109. Let u = m + 86.9. Which is the closest to u? (a) -0.05 (b) -1/2 (c) -1/3
a
Let r = -0.015 + 22.015. Let w = r + -25. Let p be (0 - 0)/(17 + -16). What is the closest to p in 6/7, w, 4/9?
4/9
Let t be (10/175)/((-10)/(-70)). Let c = 130.3 - 130. What is the nearest to -1 in t, -0.03, c?
-0.03
Let d = 1.5 + -5. Let a = d + 3. Let r = 5953 + -5953.4. What is the nearest to 2 in r, 0.5, a?
0.5
Let g = -12504 - -12522. What is the nearest to g in 0.01, 4, 1?
4
Let x = -372.82 - -373. Let v = 0.08 - x. Let m = 0.04 - 3.04. Which is the closest to 4/3? (a) m (b) v (c) -3/4
b
Let n = 43 + 2. Let s = -161 + 115. Let j = s + n. Which is the closest to 1? (a) 9 (b) 0.4 (c) j
b
Let q = -2475 - -22277/9. Which is the nearest to -3? (a) q (b) 1/8 (c) -2 (d) 2/29
c
Let f = 0.064 - -4.936. Let j = -980 + 6862/7. Let k = -0.2 + 0.3. Which is the nearest to k? (a) j (b) -0.09 (c) f
a
Suppose -127*v = -136*v - 9. Let n be (-14)/(-49) + 296/(-7). Let l be (16/n)/(16/24). Which is the closest to v? (a) l (b) 5 (c) 14
a
Let m = -824 - 68. Let z = m - -892.2. What is the nearest to 1 in -7/3, -5, z, -3/8?
z
Suppose 40 = a - 62. Let i = -104 + a. What is the nearest to -0.1 in 57, -3, i?
i
Let d = 2321 + -9387/4. Let i = 26 + d. Suppose 10 + 6 = -16*n. Which is the closest to i? (a) n (b) -3 (c) -1/2
c
Let p be 0/(19/(-38)*-6). Which is the closest to 2/3? (a) -8 (b) -6 (c) -5 (d) p
d
Let b = 135668 + -135665. Let r = 1 - -1. What is the nearest to 0 in -0.3, b, 1/4, r?
1/4
Let d = 1023.89 + -1028. Let o = d - -0.11. Let u = -0.023492 + -0.176508. What is the nearest to 14 in u, o, -2?
u
Let d = 2.124 - 1.624. Suppose 0 = -3*t - 5 - 1. What is the closest to -0.2 in t, 7, d?
d
Suppose -4*q = -3*y + 4, -2*q + 31 = 5*y + 59. Which is the closest to -68? (a) 0.1 (b) y (c) 5
b
Let m = 4 - 3.95. Let d(k) = -k**2 + 4*k + 24. Let w be d(-6). Let o be (3/15)/(w/135). Which is the closest to m? (a) o (b) 3 (c) 1
a
Let q = -0.25044 + 4.35044. Which is the closest to 2? (a) 0.4 (b) q (c) -0.16
a
Let l = -0.0928 + -0.4072. Which is the closest to 2.4? (a) l (b) 0.1 (c) -1/13
b
Suppose 20 = 5*d - 10*d. Let v = 74 - 72. What is the nearest to 1 in v, 1, d?
1
Let z = -469 + 459. Let u be 3 - ((-15 - -16) + z/(-8)). Which is the nearest to -1? (a) u (b) 1/2 (c) 4.5
b
Suppose -17*p + 23*p = -24*p. Let o be 3*(p + 1) + (-969)/285. Which is the nearest to -1/4? (a) o (b) 1 (c) -2/13
c
Let l be ((27/(-6))/(-9))/((-44)/88). Which is the closest to -319? (a) l (b) 1.7 (c) 4
a
Let o = -5247 + 5246.4918. Let s = 0.0082 + o. Which is the nearest to -1? (a) 0.07 (b) 1/4 (c) 0.1 (d) s
d
Suppose -3*o - 2*o = 4*f + 5, -5*f - 5 = 5*o. What is the closest to f in 1, -2/15, -15, 2?
-2/15
Let o = 2467 + -12326/5. What is the nearest to 1 in -1.23, 4, o?
o
Let q = 13758.9 + -13758.8. Let z = -0.003 + -4.597. Which is the closest to q? (a) 4 (b) -4 (c) 2 (d) z
c
Let q = -93 - -95. Let v = 1.86 + -1.76. Which is the nearest to v? (a) -1 (b) -0.7 (c) q
b
Let h be ((-198)/(-297))/(1/(-12)*1). Let t be h/((-120)/(-25))*3. What is the nearest to 1 in 3/7, t, 1?
1
Let k = -2427 + 2425. Which is the closest to -0.5? (a) -10 (b) 4/7 (c) k
b
Let v = 4.2 + -4.3. Let b = 18 - 105. Let w = -86.7 - b. What is the nearest to w in 4/7, -1, v?
4/7
Let w = 0.7936 - 1.2936. What is the closest to -0.5 in 2, w, 14?
w
Let h = -13189/3 - -4396. Which is the nearest to h? (a) 0.2 (b) -1/17 (c) 8 (d) -3
b
Let y be -5 - (7 + -17) - 56/12. Let m be (-3)/(-21)*(-3 + 0). Which is the closest to y? (a) -0.2 (b) m (c) -2/17 (d) -0.1
d
Let h = 1304 + -1303. What is the closest to 1/4 in -0.11, h, 0?
0
Let a = -0.54 - -0.503. Let b = -0.052 - a. Let i = b - -3.015. What is the nearest to -2 in i, -2, -0.1?
-2
Let j = -0.33 - 0.17. Let r = 25 - 27. Let v be 34/(-5)*(-45)/(-18). What is the nearest to -0.1 in v, j, r?
j
Let n be -2 - (-1 + 9/3). Let p = -3/28 - 5/84. Let f(x) = x**3 + 5*x**2 + 3*x - 5. Let a be f(-4). What is the closest to 0 in p, n, a?
p
Let t = 2531.2 - 2530.6. Which is the closest to 2/5? (a) -0.5 (b) t (c) -36
b
Let w = -84403 + 84403.5. Suppose -5*i - 15 = -0*i - 5*n, 0 = -5*n + 5. Which is the nearest to 2/9? (a) i (b) w (c) -9 (d) 3
b
Let c = -0.04 + 2.04. Let y = 253.8 + -253.9. Let o = -1174/7 + 168. What is the closest to y in c, 0.1, o?
0.1
Let m = 344339 - 344338. Let j(r) = -r**3 + 7*r**2 + 2*r - 2. Let u be j(7). What is the nearest to u in 0.6, -0.5, m?
m
Let j be (-12)/(-336) + (-2)/(-8). Let t be (260/20 - 18)*4/(-50). Which is the closest to -1/3? (a) 0 (b) t (c) -10 (d) j
a
Suppose -511*k - 1121 = 751 + 683. What is the nearest to 1/4 in 1/2, -9, -0.205, k?
1/2
Let k(j) = j - 25. Let w = -193 + 216. Let s be k(w). Which is the closest to s? (a) -0.12 (b) 0.4 (c) 2/3
a
Let d = 17 - 17.08. Let w be 72/30*(-3)/(-18). Let j = 97 - 195/2. Which is the nearest to w? (a) -3/7 (b) j (c) d
c
Let z = -3676 + 3692. Which is the closest to z? (a) -0.12 (b) 2 (c) -4
b
Let g = -18308 + 18308.06. What is the nearest to -0.42 in 0.5, g, -4?
g
Let u be ((-8)/24)/(55/(-132)). What is the nearest to 0 in 2, -3/5, 18, u?
-3/5
Let l = -4 - -6. Let j be (-8)/40*(8 + 5 + 91/(-7)). Which is the closest to 2/7? (a) j (b) 1.5 (c) l
a
Let x = 13817 + -13817.5. What is the closest to -54 in 0.2, -2/7, x, -0.4?
x
Let i be (-182)/49 + (6 - 2). Which is the closest to 2/7? (a) -0.071 (b) 0 (c) 0.1 (d) i
d
Let j = -0.1736 + 1.1736. Which is the closest to j? (a) 0.2 (b) 7 (c) 1 (d) 2/71
c
Let r be 39/(2925/(-240)) + 14. Which is the closest to r? (a) -5 (b) 0 (c) 4
c
Let h = -0.1 + 0.1. Let n = 28787 + -28789. What is the closest to 3 in -1/3, h, n?
h
Suppose -33*z - 35*z + 3 = -69*z. What is the nearest to -71/6 in -4, -0.3, -5, z?
-5
Suppose -24 = -2*o - 14*w + 19*w, -w = -2*o + 8. Which is the nearest to 0.2? (a) o (b) -0.04 (c) 0.03 (d) 5
c
Let i = 256 + -246. Let w(z) = -z**2 + 15*z - 48. Let t be w(i). What is the nearest to 0.1 in t, -3, -2/5?
-2/5
Let j = -0.086 - 14.214. Let p = j - -15. Let i = 1641.9 + -1642. Which is the closest to i? (a) -1/7 (b) p (c) 1/7
a
Let r = 3740 + -3739. Which is the nearest to 0.3? (a) -2/9 (b) -2/167 (c) r
b
Let f be -6 + (-15 - -17) + -2 + 14. Which is the nearest to 1/3? (a) -0.5 (b) 3 (c) f (d) 46
a
Let t be ((-12)/(-4))/(180/(-24))*(-10)/(-16). Let o be 4/18 - (-56)/(-90). Which is the nearest to o? (a) -5 (b) 5 (c) t
c
|
{
"pile_set_name": "DM Mathematics"
}
|
ulate the remainder when 59223 is divided by 11.
10
What is the remainder when 248 is divided by 42?
38
Calculate the remainder when 1054 is divided by 96.
94
Calculate the remainder when 118 is divided by 3.
1
What is the remainder when 8060 is divided by 18?
14
What is the remainder when 4892 is divided by 18?
14
Calculate the remainder when 2382 is divided by 784.
30
Calculate the remainder when 1276 is divided by 180.
16
What is the remainder when 435 is divided by 90?
75
Calculate the remainder when 104 is divided by 24.
8
What is the remainder when 919 is divided by 40?
39
What is the remainder when 1669 is divided by 414?
13
Calculate the remainder when 228 is divided by 108.
12
What is the remainder when 119 is divided by 26?
15
Calculate the remainder when 165 is divided by 58.
49
What is the remainder when 491 is divided by 11?
7
What is the remainder when 53 is divided by 16?
5
What is the remainder when 29376 is divided by 130?
126
Calculate the remainder when 286 is divided by 72.
70
Calculate the remainder when 175 is divided by 169.
6
What is the remainder when 1147 is divided by 103?
14
Calculate the remainder when 325 is divided by 22.
17
Calculate the remainder when 1074 is divided by 98.
94
What is the remainder when 609 is divided by 52?
37
Calculate the remainder when 191 is divided by 24.
23
Calculate the remainder when 35 is divided by 13.
9
Calculate the remainder when 1422 is divided by 4.
2
Calculate the remainder when 41 is divided by 21.
20
Calculate the remainder when 404 is divided by 199.
6
Calculate the remainder when 653 is divided by 110.
103
What is the remainder when 1839 is divided by 63?
12
What is the remainder when 175 is divided by 36?
31
Calculate the remainder when 164 is divided by 56.
52
What is the remainder when 246 is divided by 98?
50
Calculate the remainder when 1989 is divided by 985.
19
What is the remainder when 996 is divided by 52?
8
What is the remainder when 1149 is divided by 10?
9
Calculate the remainder when 462 is divided by 32.
14
What is the remainder when 698 is divided by 25?
23
Calculate the remainder when 391 is divided by 57.
49
What is the remainder when 906 is divided by 34?
22
What is the remainder when 227 is divided by 121?
106
What is the remainder when 83 is divided by 41?
1
Calculate the remainder when 81 is divided by 19.
5
What is the remainder when 181 is divided by 176?
5
Calculate the remainder when 5884 is divided by 11.
10
What is the remainder when 204 is divided by 65?
9
What is the remainder when 141 is divided by 40?
21
What is the remainder when 110 is divided by 24?
14
What is the remainder when 538 is divided by 34?
28
What is the remainder when 413 is divided by 81?
8
What is the remainder when 34200 is divided by 68?
64
What is the remainder when 736 is divided by 82?
80
Calculate the remainder when 639 is divided by 147.
51
What is the remainder when 653 is divided by 30?
23
Calculate the remainder when 140 is divided by 12.
8
Calculate the remainder when 13726 is divided by 33.
31
What is the remainder when 909 is divided by 92?
81
Calculate the remainder when 131 is divided by 6.
5
What is the remainder when 133 is divided by 28?
21
What is the remainder when 252 is divided by 43?
37
What is the remainder when 197 is divided by 72?
53
What is the remainder when 222 is divided by 29?
19
Calculate the remainder when 260 is divided by 45.
35
Calculate the remainder when 1039 is divided by 517.
5
Calculate the remainder when 1370 is divided by 55.
50
Calculate the remainder when 580 is divided by 114.
10
What is the remainder when 129 is divided by 12?
9
What is the remainder when 3074 is divided by 51?
14
What is the remainder when 142 is divided by 39?
25
Calculate the remainder when 790 is divided by 260.
10
Calculate the remainder when 3129 is divided by 209.
203
What is the remainder when 393 is divided by 249?
144
What is the remainder when 487 is divided by 10?
7
What is the remainder when 1029 is divided by 256?
5
What is the remainder when 35 is divided by 4?
3
Calculate the remainder when 827 is divided by 42.
29
What is the remainder when 656 is divided by 7?
5
Calculate the remainder when 341 is divided by 88.
77
Calculate the remainder when 60 is divided by 35.
25
Calculate the remainder when 514 is divided by 37.
33
What is the remainder when 121 is divided by 118?
3
Calculate the remainder when 393 is divided by 139.
115
Calculate the remainder when 183 is divided by 25.
8
Calculate the remainder when 2369 is divided by 22.
15
What is the remainder when 8587 is divided by 113?
112
Calculate the remainder when 789 is divided by 44.
41
Calculate the remainder when 38 is divided by 35.
3
Calculate the remainder when 121 is divided by 59.
3
Calculate the remainder when 139 is divided by 29.
23
Calculate the remainder when 196 is divided by 18.
16
Calculate the remainder when 35 is divided by 12.
11
What is the remainder when 3594 is divided by 58?
56
What is the remainder when 2380 is divided by 215?
15
Calculate the remainder when 345 is divided by 44.
37
Calculate the remainder when 649 is divided by 44.
33
What is the remainder when 841 is divided by 53?
46
What is the remainder when 148 is divided by 4?
0
What is the remainder when 109 is divided by 3?
1
What is the remainder when 211 is divided by 41?
6
What is the remainder when 137 is divided by 19?
4
What is the remainder when 1968 is divided by 969?
30
What is the remainder when 127 is divided by 13?
10
What is the remainder when 121 is divided by 61?
60
What is the remainder when 752 is divided by 159?
116
What is the remainder when 386 is divided by 142?
102
Calculate the remainder when 522 is divided by 254.
14
Calculate the remainder when 271 is divided by 16.
15
Calculate the remainder when 282 is divided by 6.
0
What is the remainder when 2382 is divided by 149?
147
Calculate the remainder when 281 is divided by 26.
21
Calculate the remainder when 994 is divided by 13.
6
Calculate the remainder when 123 is divided by 8.
3
Calculate the remainder when 24 is divided by 9.
6
Calculate the remainder when 710 is divided by 9.
8
What is the remainder when 191 is divided by 11?
4
Calculate the remainder when 98 is divided by 18.
8
What is the remainder when 22 is divided by 13?
9
What is the remainder when 205 is divided by 150?
55
Calculate the remainder when 362 is divided by 92.
86
What is the remainder when 16 is divided by 9?
7
Calculate the remainder when 122 is divided by 44.
34
Calculate the remainder when 83 is divided by 10.
3
Calculate the remainder when 969 is divided by 241.
5
Calculate the remainder when 439 is divided by 73.
1
What is the remainder when 1777 is divided by 112?
97
What is the remainder when 3015 is divided by 201?
0
What is the remainder when 6493 is divided by 130?
123
Calculate the remainder when 110 is divided by 106.
4
What is the remainder when 676 is divided by 92?
32
What is the remainder when 687 is divided by 219?
30
Calculate the remainder when 2273 is divided by 19.
12
What is the remainder when 1585 is divided by 1585?
0
What is the remainder when 320 is divided by 89?
53
Calculate the remainder when 773 is divided by 110.
3
Calculate the remainder when 5557 is divided by 139.
136
What is the remainder when 3895 is divided by 37?
10
What is the remainder when 142 is divided by 43?
13
What is the remainder when 75 is divided by 20?
15
Calculate the remainder when 464 is divided by 78.
74
Calculate the remainder when 140 is divided by 66.
8
What is the remainder when 15 is divided by 1?
0
Calculate the remainder when 36 is divided by 6.
0
What is the remainder when 6 is divided by 3?
0
Calculate the remainder when 1314 is divided by 14.
12
What is the remainder when 380 is divided by 223?
157
What is the remainder when 153 is divided by 19?
1
What is the remainder when 10950 is divided by 74?
72
Calculate the remainder when 160 is divided by 30.
10
What is the remainder when 2351 is divided by 15?
11
What is the remainder when 82 is divided by 12?
10
What is the remainder when 445 is divided by 11?
5
What is the remainder when 306 is divided by 77?
75
Calculate the remainder when 1579 is divided by 450.
229
Calculate the remainder when 278
|
{
"pile_set_name": "DM Mathematics"
}
|
9, -s*z = 5*c + z + 2 for c.
2
Suppose -3*r = 4*o + 30, 0*r + r - 28 = 5*o. Suppose -2*i + 4 = -6*i, f = -2*i. Let b be ((-3)/o)/(f/32). Solve -4*z - 4*p = -b, p - 4*p = -3*z - 18 for z.
-2
Let t(k) = -k**3 - 3*k**2 - 4. Let p be t(-4). Solve z = d - 4, d - 4*d + 2*z + p = 0 for d.
4
Let v = 18 + 9. Solve 4*p - 5*d = -v, -3*p - d = d + 3 for p.
-3
Let u(s) = -10*s**3 + s + 2. Let j be u(-1). Solve 4*q = -3*z - j - 4, q + 15 = -3*z for q.
0
Suppose 0 - 4 = -g. Let c be (-1 - g)*(-2 - -1). Let z(w) = w + 6. Let b be z(-3). Solve c*x - 4*t = 25, b*x + 5*t = -0*t - 22 for x.
1
Let d be 6/16 + 61/8. Solve l = d*n - 4*n + 17, 0 = -3*n + 3*l - 6 for n.
-5
Suppose 3*k = 3 + 3. Solve k = -g - 5*h, 5*g + 3 - 23 = 5*h for g.
3
Suppose 4*c - 18 = 2*c. Suppose -y - 35 = -39. Solve -2*i + c = -4*a - i, -3*a = y*i - 17 for a.
-1
Suppose 12 = 5*j - 2*c, 3*j - 4 = c + 3. Solve -n + 12 = -2*i + j*n, 3*i + 2*n = -5 for i.
-3
Let j(y) be the third derivative of y**6/120 + y**5/10 + y**4/8 - 7*y**3/6 - 3*y**2. Let x be j(-5). Solve -3*q - 4*i - 23 = 0, -x*i = -0*i + 6 for q.
-5
Suppose -m = -4*m + 12. Solve 3*w + 0*w + 13 = m*f, w + 11 = 3*f for f.
4
Let s = -1 - 6. Let p be -3 + (-3)/(3/s). Suppose -4 = -2*h + 8. Solve -21 = -3*x - p*u - h, 0 = -4*u + 12 for x.
1
Suppose 5*l + 40 = -170. Let x = l + 64. Suppose -5*r + x = -33. Solve 2*i - 4 = 2*j, 5*i + r = -2*j - 0 for i.
-1
Suppose 0 = -2*x + 1 + 29. Suppose -6*y = -y - x. Suppose 0 = -q + 6 - 1. Solve -v + 14 = -4*v + h, q*v + 14 = -y*h for v.
-4
Suppose 4*q - 5 = 5*z, z + 3*z - 5*q = -13. Let r = 3 + z. Solve 2*b - 6 = 5*n + 4, 0 = -3*n - r for b.
0
Suppose 4*c - 24 - 4 = 5*w, 10 = c - 2*w. Let r = c + 2. Solve -5*x + r*s + 0 = 9, 2*x = -2*s for x.
-1
Let d(g) = -30*g**3 + 2*g**2 + 2*g + 1. Let k be d(-1). Let n = k + -17. Let m = 34 - n. Solve -5*x - 2*f = 15, 3*f - m = -f for x.
-5
Let c(r) = -r**2 - 4*r + 15. Let t be c(-6). Solve 0 = 4*q - t*q + 5*z, 4*q + 18 = -2*z for q.
-5
Suppose -52 = 5*f + 18. Let x = f + -31. Let m be ((-4)/(-10))/((-9)/x). Solve -m*q - 11 = -3*g, 0 = -3*q + 2*g - 3*g for q.
-1
Suppose -2*n + 8 = -0*n. Solve n*g - 4*m + 4 = 0, 4*g - 2 = -m - 1 for g.
0
Let z = 21 - 19. Let q = -5 + 7. Solve -5*u - 13 = -q*m, 0 = -z*m - m - 4*u - 15 for m.
-1
Suppose -6*d + 166 = c - 2*d, 15 = 5*d. Let y = 219 - c. Let s be (-2)/13 - (-75)/y. Solve 3*q + x = 2*q, -5*q + s = 4*x for q.
1
Let c be 0/(9/((-27)/6)). Solve -3*y - 3*d = 18, 3*y - 4*d + 0*d + 11 = c for y.
-5
Let k be 3 - 2/((-2)/5). Suppose 2*a - k = -2*a. Solve a*i = c + 3 + 8, 0 = 2*c + 3*i - 6 for c.
-3
Let u be (3/2)/(3/4). Solve -3*m + 4*a = -4, 2*m - 24 = -u*m - 4*a for m.
4
Let u be (1 - -3)*(-2 + 6). Suppose u - 6 = 2*p. Suppose 2*k + 24 = 4*j, -9 = 3*k + 3. Solve 3*d = -p*w - 30, j*d - 8 = -4*w - 40 for d.
-5
Let k = 2 - 1. Let p(s) = 15*s**2 - s. Let z be p(k). Let q = -2 - -4. Solve 2*t + z = q*x, -15 = -0*t - 5*t - 5*x for t.
-2
Suppose -r + 22 = -0*r - h, 12 = r + 4*h. Solve -r = n + 5*l, -5*n + l - 22 = -0*l for n.
-5
Suppose -18 - 10 = 4*d. Let y = d + 5. Let g be (3 + y - 5)*-1. Solve 4*t + 28 = -4*z, -g*t + 4*z = z for t.
-3
Suppose -2*v + 3 = 3*x - 14, -x = -3. Suppose 5*g - 14 = d + v, 0 = g - 5*d - 18. Suppose 0*l = 5*l - 20. Solve l*a + 4*r - 2 - 30 = 0, -a = g*r - 16 for a.
4
Suppose -12*g = -13*g + 1. Solve -3*a - 12 = -l, 12 = -2*a - l - g for a.
-5
Let u = -20 + 8. Let c be (-18)/(-5) - u/30. Solve 6*p - 2*p + 20 = c*h, -3*p - 15 = h for h.
0
Suppose -5*k + 136 = -4*y, -5*k + 202 = 4*y + 58. Let i be ((-5)/4)/((-7)/k). Suppose -43 - 62 = -i*x. Solve 5*o + 2*l = -x, 4*l + 6 = o - 3 for o.
-3
Let w be (-6)/8 + 14/8*1. Solve 4*g - 9 = z + w, 5*z + 4*g = 22 for z.
2
Let h = -1 + 8. Let i = h + 7. Suppose -5*c = 3*l - 44, -2*l + 3*c = -0*l - 23. Solve 2*t - 2*r = 1 - l, t + 3*r = i for t.
-1
Suppose -r - 5*y = 18, -4*r - 5*y - 16 = -2*r. Solve -3*o + 8 = -r*o - c, -3*o + 14 = -c for o.
3
Suppose 0 = -2*k + 2*b + 2, -23 = 4*k + 5*b - 0. Let i be (-8 - (-2 - k))/(-1). Suppose i = -0*m + 4*m. Solve -1 - m = -p + r, 0 = 5*p + 2*r - 29 for p.
5
Suppose -i - 72 = -5*u, 2*u + 2*u + 4*i - 72 = 0. Solve 0 = -3*x - 3*k, -2*k - u = 3*k for x.
3
Let x = -6 - -7. Suppose 3*t = 5 + x. Suppose -o - t = -2*o. Solve -2*a - 10 = -4*i, 0 = 3*a - i - o + 7 for a.
-1
Let i(d) = -d**2 + 15*d - 30. Let f be i(12). Solve 5*s + 35 = -5*o, f*o = o + s - 23 for o.
-5
Let i(x) = x**2 + 6*x + 10. Let a be i(-2). Solve 10 = 2*c + 3*c - a*g, -5*g - 25 = -3*c for c.
0
Let a = 8 - 5. Suppose 1 = -a*z + 7. Solve 5*o - z*y = -1, 4 = o + 3*y - 2*y for o.
1
Suppose -3*t - 4*c - 25 = c, 5*c + 25 = 0. Solve 0*j + 3*j + 5*g - 12 = 0, -5*j + 5*g - 20 = t for j.
-1
Let c(r) = r**3 + 9*r**2 - 10*r + 6. Let h be c(-10). Suppose u + 25 = h*u. Solve -3*i = 4*g, -u*i = -5*g + 44 - 9 for i.
-4
Suppose 0 = -o + 26 - 12. Let t(w) = w**2 - 2*w - 4. Let s be t(-4). Let a = s - 0. Solve -3*y - g - 2 = o, 3*g + a = -2*y for y.
-4
Let j(n) = n**2 + 6*n - 4. Let v be j(-8). Suppose 8*d = 5*d + v. Solve 4*b + 16 = d*p, 3*p - 2*b = 4 + 3 for p.
-1
Suppose 3*f + 13 = -2. Let j = f + 13. Let p be (-4)/(j/(-6)) - -1. Solve 0 = -4*r + 12, 1 - 4 = 5*z + p*r for z.
-3
Let i be 24/36 - (-26)/6. Solve 2*t - 3*s - s - 4 = 0, 16 = i*t - 4*s for t.
4
Suppose -4*k - c = -17, 5*k + 2*c = -2*c + 24. Solve k*j - 2 + 0 = -3*m, 2*j - 2 = -2*m for m.
2
Let g be 2 - (-1)/((-2)/(-8)). Suppose -80 = -3*m - h + g*h, 5*m - h = 104. Let n = 279 - 277. Solve -4*k = 3*i - m, -2*k = 2*i + n - 12 for k.
5
Let b = -20 + 22. Let n be (-3 - -4)*b + 0. Solve 4*p - n*h = 12, -4*h - 11 = -3 for p.
2
Suppose -3*a + 15 = 3. Let m be 5 - (3 - (4 + -2)). Let k = m + -2. Solve k*i = i - 4*z + 23, -a*z + 32 = 4*i for i.
3
Let r(f) = f**2 + 7*f + 9. Let i be r(-6). Suppose 5*t - 37 = -2*k, k + i*t + 108 = 4*k. Solve 3*d + 12 = 4*s + k, 2*d = -2*s + 8 for d.
5
Let m(z) be the first derivative of -z**2/2 + 11*z + 4. Let o be m(11). Solve 4*c + 4*n = o, -2*n + 3*n = c for c.
0
Let n(t) = -t**2 - 7*t - 2. Let g be n(-5). Let u be (-8)/84*3 + (-16)/(-7). Solve i + x + 5 = 0, -u = i + 2*x + g for i.
0
Let w(r) = r**2 - 4*r + 5. Let l be w(3). Solve 5 - 16 = -f + 5*o, f - l*o - 2 = 0 for f.
-4
Let f(t) = -t**2 - t. Let g be f(-2). Let l be (g - (-33)/12)*16. Solve -3*p - m - l = m, -5*p - 3*m = 19 for p.
-2
Let f(b) be the third derivative of -b**6/24 - b**5/60 - b**4/12 - b**3/6 + b**2. Let j be f(-1). Solve 5*p - 1 = 2*z, 0 = -4*p - p - j*z - 20 for p.
-1
Suppose -3*g + 2*t + 17 = 0, -3*g - 6 = 3*t - 3. Suppose -r - 4*l + 4 = 3*r, -5*r = -l - 11. Solve d - 25 = -3*k + g*d, -r*k = 4*d + 10 for k.
5
Suppose -5*z = 20 + 10. Let v = z + 10. Solve -2 = -2*b + 6*b - 2*q, -4*b - 4*q = -v for b.
0
Let y = 4 + 0. Suppose -l - l = -y. Suppose -i - l*r + 5 = -14, 2*i = -3*r + 34. Solve -2*j + 5 = 3*b, 3*j = -4*b + 3*b + i for b.
-1
Let y be 27 + (2/1)/2. Suppose -y + 7 = -3*s. Solve 4*a = -v + 5*v + 32, -s = -v - 2*a for v.
-3
Let m be 20/(3/(-6)*-2). Suppose 0 = d - 4*t - 20, -2*d + 0*d + 4*t + 40 = 0. Solve 4*y - 3*a = d, -5*y = -y - 5*a - m for y.
5
Suppose 5*x = 11 + 4. Solve -4*g = -4*f - 4, -2*f + x*g + 14 = 5*g for f.
3
Suppose 4*o - o = 0, 9 = 3*z - 3*o. Solve -f + z*c + 11 = 0, -3*c - 26 = 2*f - 6*f for f.
5
Suppose 2*w + 0*w = 8. Suppose w*v = -2*s + 42, 2*v = -s - s + 34. Solve -s = -2*u - 3*l, -12 + 3 = -3*l for u.
2
Suppose 2*l = 6*l. Let o(w) = -w**2 + 2*w + 13. Let d be o(5). Let x be 4/(d/(-1)) + 3. Solve 2*g - h - 8 = -l*g, 0 = x*h - 10 for g.
5
Let d(n) = 3*n + 1. Let g be d(1). Suppose 1 - 25 = g*k. Let v = -3 - k. Solve 0 = -v*j, -6*y + y - 5 = -5*j for y.
-1
Suppose -2 - 4 = -i. Suppose -6*s = -3*s - i. Solve -2*g + 8 = -5*c, 4 + 4 = -s*g - 3*c for g.
-1
Suppose -2*j = -68 - 22. Suppose 76 = -2*f + 20. Let m = j + f. Solve -3*l + 1 = 4*c, c - 8*l + 3*l + m = 0 for c.
-2
Let r(g) = g**3 + 12*g**2 + 12*g + 14. Let v = 4 - 15. Let m be r(v). Let b be m/(-3)*-2*1. Solve 3*a - n + 1 = 0, -6 = b*a - 0*n + 2*n for a.
-1
Let x = -11 - -8. Let k = -3 - x. Solve -4*l - 3*q - 1 + 2 = k, 0 = l + q for l.
1
Let v(j) = j**2 + 5*j - 1. Let a(t) = 7 + t - 7. Let n(p) = 5*a(p) - v(p). Let g be n(-1). Solve 4*o + g*k - 6 = -3*k, -k + 2 = -5*o for o.
0
Let x = 3 + -1. Suppose -c + 2 = -0. Let i = 0 - -16. Solve 2*y + x*t =
|
{
"pile_set_name": "DM Mathematics"
}
|
151?
1
Let n = -219 - -265. What is the units digit of n?
6
Let l(i) = -i**3 + 5*i**2 + 2*i - 7. Let s be 3/6*(9 + 1). Let t be l(s). Suppose t*p = 3 - 0. What is the units digit of p?
1
What is the tens digit of ((-5)/5)/(-1*1)*43?
4
Let c = 702 + -481. What is the units digit of c?
1
Let o = -49 - -83. What is the tens digit of o?
3
Let z = -3 + -8. Let u = 15 + z. What is the units digit of u?
4
Let a(i) = -2 + 6*i + 0*i + i**2 - 2*i**2. Let u be a(5). Suppose 5*x - u = 4*x. What is the units digit of x?
3
Let f be (-264)/10 + 27/(-45). Let a = f + 55. Suppose 4*l - 4*i = a, -2*l - i = 3*l - 35. What is the units digit of l?
7
Suppose 86*k = 91*k - 50. What is the units digit of k?
0
Let w(b) = 2*b**2 - 2*b. Let q be w(6). Suppose -5*a = -a - q. Suppose 4*d + d = -a, 2*p + 7 = -3*d. What is the units digit of p?
1
Let d(o) = 6*o - 10. What is the units digit of d(6)?
6
Let h be 0 + 4 - (-3 + 2). Suppose u = -3*u + 16. Suppose -h = -u*j + 3*j. What is the units digit of j?
5
Suppose 2 = -t + 4. What is the units digit of (-17)/(-5) - t/5?
3
Let v(j) be the first derivative of 16/3*j**3 + 1/2*j**2 - 4 + 0*j. What is the units digit of v(-1)?
5
Let n = -13 + 11. What is the tens digit of (5 + 6)*(n + 3)?
1
Let m(v) = 8*v**2 - 4*v - 1. What is the units digit of m(-3)?
3
Let b(i) = -i**2 - 3*i + 2. Let d be b(-3). Suppose d*z = -3*c + 20, -6*z + z + 76 = c. What is the units digit of z?
6
Let m(w) = -w**3 - 6*w**2 + 5*w - 1. What is the units digit of m(-7)?
3
Suppose -377 - 48 = -5*m. What is the units digit of m?
5
Suppose 0 = -u, 3*u - 48 = -2*o - 2*o. What is the units digit of o?
2
Suppose -5*i = 3*h - 464, -2*h - 2*h + i = -588. What is the units digit of h?
8
Suppose 5*q = -v + 87, -q + 96 = 4*q - 2*v. Suppose 0 = -c + 2*r + q, 5*c - 1 = r + 44. What is the units digit of c?
8
Let q(t) = t**2 - 3*t. Let v be q(6). Suppose -y + 4*y - v = 0. Suppose -y = -4*s + 2. What is the units digit of s?
2
Let o = -163 + 261. What is the tens digit of o?
9
Let c(v) = 0*v + 0*v - 5*v. What is the units digit of c(-2)?
0
Suppose 30 = d + 4*j, -4*d = 3*j + 66 - 225. What is the tens digit of d?
4
Suppose 5*f = p + 84, f + 5*p = 4*f - 68. What is the tens digit of f?
1
Suppose 80 = 7*l - 3*l. What is the tens digit of l?
2
Let a(x) = -7*x - 6. Let d be a(-12). What is the tens digit of d/(-4)*4/(-6)?
1
Let s = 2 + -1. Let t be (-6 - 0)/(s + -2). Suppose -w = -2 - t. What is the units digit of w?
8
Suppose -5*s + 24 + 10 = 3*u, 2*s + 2 = 0. Suppose 11*f + 56 = u*f. What is the tens digit of f?
2
Suppose 8 = -3*h - 4*g - 0*g, 4*h - 3*g = 31. Suppose 0 = z + h*n - 20, 6*z + 3*n = z + 32. What is the tens digit of (-50)/z*(-8)/10?
1
Let n = -8 + 5. What is the units digit of 24 - (-4)/(-6)*n?
6
Let m be (12/(-10))/(3/10). What is the tens digit of m/2*(-75)/10?
1
Suppose 0*r - 3*r = -5*j + 540, 100 = j + r. What is the tens digit of j?
0
Suppose -3*c + t = -2*t + 3, -3 = 4*c - 5*t. Let d be (-2 + 1/c)*-2. Suppose d = 3*q - 4. What is the units digit of q?
3
Let n = 9 + -6. Suppose 2*z - n*h + 0 = 3, 15 = 3*h. What is the units digit of z?
9
Let t = 16 - 13. Let w(n) = 4*n**2 + 3*n. Let z be w(-2). Suppose t*m = -1 + z. What is the units digit of m?
3
Let v be 1*(3 - -8 - -1). Suppose j - v = -0*j. What is the tens digit of j?
1
Suppose 0 = -q - 2*q + 507. What is the hundreds digit of q?
1
Let f be (-186)/9 - (-2)/3. What is the tens digit of f/(-30) - (-116)/6?
2
Let h(o) = 2*o**2 + 14*o - 16. Let i(b) = 3*b**2 + 27*b - 31. Let w(j) = -5*h(j) + 3*i(j). What is the units digit of w(9)?
5
Let g(u) = 4*u**2 - u + 6. Let p(o) = 3*o**2 - 2*o + 6. Let h(r) = -4*g(r) + 5*p(r). What is the units digit of h(-5)?
1
Suppose -3*y = 4*h + 12, -h - 12 = 3*h - 5*y. Let o be -1 + 2 - (-1)/(-1). Let n = o - h. What is the units digit of n?
3
Let j be 5 + -2 - (3 + -4). What is the tens digit of 158/j - 36/(-24)?
4
Let u(k) be the third derivative of k**4/24 + 2*k**3/3 + k**2. Let o be u(-3). Let v = o + 4. What is the units digit of v?
5
Suppose -5*a + 2 = -23. Suppose 0 = -5*n - a. Let y = n - -2. What is the units digit of y?
1
Let o = -4 - 2. Let u be (o/(-2))/(6/4). Suppose 10 = u*c, 0 = -t + 4*c - 8 - 9. What is the units digit of t?
3
Let g(v) = -7*v**3 - 5*v + 4*v - v**3. Let k be (-7)/14 - (-2)/(-4). What is the units digit of g(k)?
9
Let l = 6 - 20. Let q = l - -26. What is the units digit of q?
2
Suppose -5*s - p = -197, s - 77 = -s - p. What is the tens digit of s?
4
What is the units digit of 12/9*123 - (2 + 1)?
1
Suppose 2 = 3*z + 2*u - 4, 5*u + 8 = 4*z. What is the tens digit of (z - (-5)/(-1)) + 16?
1
Let d(o) = o**2 + 3*o + 4. What is the units digit of d(-4)?
8
Suppose -3*q + q - 2 = 0. Let b(c) = -c**3 + 2*c + 1. Let d be b(q). Suppose 4*s + 0 - 4 = d. What is the units digit of s?
1
Let d = 55 - 21. What is the units digit of d?
4
Let h(r) = 2*r**3 + 11*r**2 + 2*r - 10. What is the units digit of h(-5)?
5
Suppose -q - 8 = 3*q. Let l be 4*((-6)/(-4) - q). Suppose 2*w + l = 4*w. What is the units digit of w?
7
Suppose 1 = 2*r - 29. What is the units digit of r?
5
What is the tens digit of (-3)/6*(0 + -206)?
0
Let z = 5 + 7. Let p = -6 + z. Suppose -j + p*j = 3*l - 40, -3*j - 40 = -5*l. What is the units digit of l?
5
Suppose -7*w + 9*w = -5*j + 1244, 12 = -4*w. What is the hundreds digit of j?
2
What is the tens digit of (2/(-6))/(5/(-525))?
3
Suppose -5*y + 2*u = -263, -3*u + 3 + 0 = 0. What is the units digit of y?
3
What is the units digit of 3 + 22 - (-2 + 1)?
6
Let i be (-1 - -1) + -5 + 7. Let q(t) = i*t + 1 + 2*t**2 + 5 + 7*t - 3*t**2. What is the units digit of q(8)?
4
Suppose 5*i - 252 + 47 = 0. What is the tens digit of i?
4
Let z(m) = m**2 + 4*m + 4. Let j be z(-4). Suppose -5*b + 3*b + 25 = -5*c, 0 = -j*b + 4*c + 56. What is the tens digit of b?
1
Let f(j) = -3 + 0*j - 2*j + 6*j. What is the units digit of f(2)?
5
Let o(b) = b**3 + 5*b**2 - 7*b - 7. Let u(x) = -7*x**3 + 2*x - 1. Let a be u(1). Let y be o(a). Let k = 8 + y. What is the units digit of k?
7
Let q(v) = 3*v - 2. Suppose -4*l + 7 = -5. Let k be q(l). Suppose -s = -0 - k. What is the units digit of s?
7
Let x = 3 + -29. Let r be (-4)/x + 126/26. Suppose -j + r*j = 28. What is the units digit of j?
7
Suppose l = -l + 166. Let a = l + -44. What is the tens digit of a?
3
Let f(b) = 4*b**2 + 8*b - 2. What is the units digit of f(3)?
8
Let q(m) = m**3 + 10*m**2 - 5*m - 11. What is the tens digit of q(-10)?
3
Let w(q) = 18*q**2 - 2*q + 1. Suppose -c + 5 = 4*x, -1 = 3*x - 2*c - 2. What is the units digit of w(x)?
7
Suppose -4*m + 133 + 31 = 0. Let u = m - 23. What is the tens digit of u?
1
Let r = -9 - -14. Suppose -r = -2*f + 9. What is the units digit of f?
7
Suppose -n - 4 + 7 = 0. Suppose -5*v - 35 = -0*h + n*h, 0 = -4*v + 2*h - 50. What is the units digit of 8/(-20) + (-14)/v?
1
Let a = -19 - -34. Suppose 3*v + a = -2*v. What is the units digit of (v/9)/((-1)/33)?
1
Let m = 0 - -5. Let c be 34 - (2 + 3/(-1)). Suppose -c = -m*j - 0*j. What is the units digit of j?
7
Let x be (-139)/(-6) - (-5)/(-30). Let k = x + -5. What is the tens digit of k?
1
Let i be 2*1 - (7 + -4). Let c be 2/(-3) + 64/6. What is the units digit of -1 + c + i + -2?
6
Let i(x) be the first derivative of x**2/2 - 4*x + 6. Let s be 5 + 2 + -1 + 0. What is the units digit of i(s)?
2
Let a = 9 - 10. Let l = 2 + a. What is the units digit of l?
1
Suppose -6*l = -5*l - 2. Suppose -l*k + 82 = 20. What is the units digit of k?
1
Let r = -83 - -189. What is the tens digit of r?
0
Let p be (36/(-14))/((-3)/21). Suppose -n = -4*b - 6*n + 50, 4*n = -b + p. What is the tens digit of b?
1
Let m = -241 - -337. What is the tens digit of m?
9
Suppose 1 = -d - 1, 2*j - 52 = -4*d. What is the units digit of j?
0
Let i(b) = 9*b**2 - 1. Suppose 5*l + 0*l - 10 = 0. Let n = l + -3. What is the units digit of i(n)?
8
Let m = 1 - 11. Let b be ((-36)/30)/(3/m). Suppose -2*y + 58 = 4*d, -4*d = -0*d - b*y - 28. What is the units digit of d?
2
Let v = -4 + 12. Suppose 7 = 3*t - 2, s - v = -5*t. What is the units digit of (18/2)/(-6 - s)?
9
Suppose -499 = -5*m + 391. What is the tens digit of m?
7
Suppose 3*j = -2*m + 823, -2*j - 9*m + 547 = -6*m. What is the hundreds digit of j?
2
Let s(f) = -7*f - 4. Let d be s(-5). Suppose 3*r - 4*k = 0,
|
{
"pile_set_name": "DM Mathematics"
}
|
Let j(f) = -f**2 - 10*f - 9. Let v = 32 - 22. Let u = 3 - v. What is the tens digit of j(u)?
1
Let j(w) = -w**3 + 10 - 2 + 4*w + 5*w**2 + w. Let t be j(6). Suppose n + g - 13 = 0, 3*n - t*g = 8*n - 59. What is the tens digit of n?
1
Let f(b) = -2*b**2 + 7 - 2*b - 4*b**3 + 11*b**2 + 5*b**3. What is the hundreds digit of f(-6)?
1
Suppose 4*h = -4*t - t - 166, -2*t = 3*h + 121. Let i = -22 - h. What is the tens digit of i?
1
Let w(f) = 28 - 18 - 20*f + 31 + 2. What is the tens digit of w(-8)?
0
Let g = -139 - -247. What is the units digit of g?
8
Let z = -11 - -12. What is the tens digit of (-8 + -9)/(z/(-5))?
8
Suppose 6*k = 16*k - 50. Suppose 5*h - d - 56 = 0, -3 - 77 = -k*h - 5*d. What is the units digit of h?
2
Suppose 2*m = -m + 135. Let h = m + 7. What is the units digit of h?
2
Suppose -201 = 10*d + 89. Suppose 0 = -3*s + 102 + 45. Let u = s + d. What is the units digit of u?
0
Suppose 2*f + 2 = -j + 4, j + 2 = 0. What is the units digit of (368/24)/(f/6)?
6
What is the tens digit of 52 - (1 + -2 + -4)?
5
Suppose 3*j + 49 = 2*p, 4*p + 4*j - 86 = 62. Let k = -18 + p. Let r = 33 + k. What is the units digit of r?
7
Let y = -3423 + 4809. What is the units digit of y?
6
Let b = -12 - -11. Let n be -9*b/(3 + -4). What is the units digit of -6 - n - -1*19?
2
Let y(a) be the second derivative of a**4/24 + 4*a**3/3 - a**2/2 + 6*a. Let r(j) be the first derivative of y(j). What is the units digit of r(0)?
8
Let n(x) = -x**2 + 14*x + 15. Let d be n(15). Let l = 12 - d. Let v = l + -4. What is the units digit of v?
8
Let d(f) = 77*f**2 - 3*f + 2. Let k(n) = n - 5. Let y be k(6). What is the units digit of d(y)?
6
Let o be (-2)/((-5)/((-175)/(-10))). Suppose -o*a = -3*a - 92. What is the units digit of a?
3
Let l(s) be the second derivative of -6*s + 0 - 1/12*s**4 - 5/3*s**3 + 1/2*s**2. What is the units digit of l(-9)?
0
Let d be 18/30 - 36/10. What is the tens digit of 2 - -58 - (-1 - d)?
5
Suppose -38*h + 36*h + 1382 = -3*c, h = 5*c + 684. What is the hundreds digit of h?
6
Let f be ((-6)/(-6))/((-1)/14). Let y = -11 - f. Suppose -23 = -k - y. What is the units digit of k?
0
Suppose 0 = 3*r + r - 160. Suppose -5*s + 3*s = -r. Let v = 40 - s. What is the units digit of v?
0
Let h(g) be the first derivative of -1/3*g**3 + 0*g**2 + 1/4*g**4 - 5 + 3*g. What is the units digit of h(0)?
3
Let v be (3/9 - 2)*-3. Suppose 4 = -p, u - 2*p = -v + 19. Suppose -b = -u*b + 10. What is the units digit of b?
2
Suppose -59*t + 63*t - 940 = 0. What is the tens digit of t?
3
What is the units digit of 125 + (-6 - -18 - 6)?
1
Suppose -6*v + 40 = -8. Suppose -13*d + 210 = -v*d. What is the tens digit of d?
4
Let d be (2123/22)/((-6)/4)*-3. Let k = d + -89. What is the hundreds digit of k?
1
Suppose 4*w + 43 = 63. Suppose -3*a + 15 = 0, -4*a = -w*y + 164 - 4. What is the units digit of y?
6
Let p(d) = -d**2 + d + 23. Let z(j) = -j + 2. Let h(w) = -p(w) + z(w). What is the tens digit of h(-7)?
4
Suppose 4*k - 4240 + 208 = 0. What is the tens digit of k?
0
Let r be (0 + -1)/((-2)/(-72)). Let x = r - -39. Suppose x*w - 58 = w. What is the tens digit of w?
2
Let q(v) = -152*v - 1. Let z be q(-1). Let p = 76 - z. What is the tens digit of p/(-6) - (-3)/(-2)?
1
Let u = -4723 + 9802. What is the units digit of u?
9
What is the tens digit of 8/10 + (-4)/5 + 272?
7
Suppose -5 = 5*t, 5*x - 87 = -3*t + 20. Suppose -10*u = x - 162. What is the tens digit of u?
1
Let d = -31 - -757. What is the hundreds digit of d?
7
What is the hundreds digit of -1 - 12312/(-20) - 12/20?
6
Suppose -15 = -0*c - 5*c. Suppose -2*v = -5*d + 3*v + 675, 3*d = -c*v + 399. What is the tens digit of d?
3
Let r = -55 + 8. Let m = -42 - r. What is the units digit of m?
5
Let c = -11 + 10. Let q = 18 + c. What is the units digit of q?
7
Suppose 14*j - 9140 = 3138. What is the units digit of j?
7
Suppose 2*n - 16 = 5*g, -10 = -4*g - 26. Let u be 16/(27/12 + n). Suppose 3*a = -3*v + 102, 2*a + 0*a - u = 2*v. What is the units digit of a?
3
Let h(j) = 509*j**2 + j + 3. What is the hundreds digit of h(1)?
5
Let m(f) = -f**3 + f**2 + 16*f + 43. What is the tens digit of m(-3)?
3
Let d(y) be the second derivative of y**4/12 + 3*y**3/2 + y**2/2 + 17*y. What is the units digit of d(7)?
3
Suppose -g = -b - 1440, -5*g - 4*b + 7084 + 161 = 0. What is the thousands digit of g?
1
Let q = 177 + -3. What is the tens digit of q?
7
What is the tens digit of 38721/39 + 18/117?
9
Let x(a) = -a**3 + 11*a**2 - 13*a + 1. Let v be x(10). Let p = v - -32. Suppose -p*s = 2*s - 350. What is the tens digit of s?
7
Suppose 0 = -a - 5*d + 280, -2*d + 7 = -3. Suppose a = 55*v - 52*v. What is the units digit of v?
5
Let z be 2/2*-4*(-47)/2. Let o = 196 - z. What is the hundreds digit of o?
1
Suppose -225*x - 917 = -232*x. What is the units digit of x?
1
Let b(v) = v**2 - 16*v + 13. Let m be b(19). Let y = m - 47. What is the units digit of y?
3
Suppose 30 = 2*k - 338. Let v = k + -89. What is the tens digit of v?
9
Let d be (-4)/5 - (-273)/35. Suppose -2 = -3*t + d. What is the tens digit of (-1267)/(-28) - t/12?
4
Let a(x) = -2*x**2 + 9*x + 10. Let t be a(-5). Let b = 119 + t. What is the units digit of b?
4
Let i(m) = m**3 - m**2 + 2*m - 1. Suppose 2*z = z + 2. Let j be 1/z*(4 - -2). What is the units digit of i(j)?
3
Let i(w) = w**3 + 23*w**2 + 3*w + 50. What is the hundreds digit of i(-20)?
1
Suppose -4*x = 4, -4*w + 6*w = -4*x - 4. Suppose -3*z = -2*g + 1, w*z + z - g = -2. Suppose -4*r - z = -5*r. What is the units digit of r?
3
Let h(k) = -3*k**3 - k**2 + 4*k + 3. Let o be h(-2). Suppose o = -v + 4*v, -3*v = 5*s - 255. What is the units digit of s?
8
Let n be 0 + 8 + 3 + 4. Let f be ((-5)/n)/(1/(-3)). Suppose -2*t - f = -5*d, -t - 2 = d - 4*d. What is the units digit of t?
7
Let d(f) = 10*f**2 - 13*f + 12. What is the tens digit of d(6)?
9
Suppose 0 = 3*b - 12. Suppose -o + b = -35. What is the units digit of o?
9
Let h(f) = 5*f + 19. Let x be h(24). Let j = x - 90. What is the tens digit of j?
4
Let c = 5 - 1. Let v(k) = k**3 - k**2 - 4*k - 3. Let s be v(c). Let b = -18 + s. What is the units digit of b?
1
Suppose -3*h + 7*h + v = 1, -9 = 3*h + 4*v. Let d be h/5 + (-216)/(-20). Let r = 12 - d. What is the units digit of r?
1
Let j(q) = q**3 - 6*q**2 + q + 1. Let k be 6/15 - 88/(-5). Suppose 2*n + k = 2*d, d = -2*n - 3*n - 9. What is the units digit of j(d)?
7
Suppose 0 = 5*h - 5*b + 43 - 113, 7 = 2*h + 5*b. Suppose 0 = 18*o - h*o - 266. What is the tens digit of o?
3
Let j(t) be the first derivative of 5*t**2/2 - t - 13. What is the units digit of j(7)?
4
Let m(w) = w**2 - w + 4. Suppose 3*o - 5 = -17. Let f be (2/(-2))/(o/24). What is the units digit of m(f)?
4
Suppose 3295 = 5*m - 8035. What is the hundreds digit of m?
2
Suppose -4*w = -u + 731, 8*w = 3*u + 9*w - 2232. What is the units digit of u?
3
Suppose 3*n - 25 = -2*n. Let u(p) = 20*p - 13. What is the units digit of u(n)?
7
Let v(f) = -36*f**3 - 2*f**2 - 2*f - 1. Let d be v(-1). Let h = d - 34. What is the units digit of h?
1
Let w = 4738 + -2203. What is the thousands digit of w?
2
What is the units digit of (-4 - 110/(-25))*165?
6
Let f(b) = 7*b - 5. Let s be f(2). Let c = s + -9. Suppose c = -l + 20 + 10. What is the tens digit of l?
3
Suppose 0 = -14*y + 11*y + 882. What is the tens digit of y?
9
Suppose -5*v + 1067 = -1613. What is the tens digit of v?
3
What is the tens digit of (-28)/175*10*4570/(-4)?
2
Let j = -15 + 13. Let v be j/(-18)*-3*-6. Suppose -5*m = -3*m - v*x - 58, 39 = m + 4*x. What is the tens digit of m?
3
Suppose -12*t + 22383 = 15*t. What is the tens digit of t?
2
Let b = 49 + 6. Suppose -2*i - 13 = -o, 0*o - b = -3*o - 2*i. What is the units digit of o?
7
Suppose 22 = 2*t - 3*u, t = -0*t - 2*u - 3. Suppose -2*o + o - 2*r + 18 = 0, t*o - 4*r - 118 = 0. Suppose 4*p = -o + 110. What is the tens digit of p?
2
Suppose -4*x = 3*a - 6494, 1126 = x + 5*a - 506. What is the hundreds digit of x?
6
What is the units digit of (7700/(-28))/(1/(-5))?
5
Suppose 0 = -52*w + 51*w - 125. Let q = 222 + w. What is the tens digit of q?
9
What is the tens digit of -8 + 1 + 1121 + (-99)/9?
0
Suppose 59*d + 620 = 64*d. What is the units digit of d?
4
Suppose 52*t - 18*t - 25194 = 0. What is the hundreds digit of t?
7
Let v(o) = o + 36. Let m be 23/2 + (-8)/16. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let o(i) = w*r(i) + 4*l(i). Determine o(-5).
-1
Let d be 1/3 - 2/(-3). Let y(p) be the second derivative of 0*p**2 + p - 1/6*p**3 + 1/12*p**4 + 3/20*p**5 + 0. Calculate y(d).
3
Let r(c) = c**3 + 5*c**2 - 6*c - 3. Suppose -2*k - 54 = 7*k. What is r(k)?
-3
Let p(w) be the third derivative of w**4/6 + 2*w**3/3 + w**2. Let t(g) be the first derivative of g**2/2 + g + 8. Let d(q) = -2*p(q) + 9*t(q). What is d(-1)?
0
Let x be 3/18*-2*-12. Let w(q) be the second derivative of q**4/12 - q**3/6 - 3*q**2/2 + 4*q. Determine w(x).
9
Let z(j) = -j**2 + 9*j + 7. Let t be z(10). Let v(c) = -2*c - 1. What is v(t)?
5
Let i(m) = 2*m**2 + 5*m + 4. Let l be i(-2). Let c(b) be the first derivative of l - b + 1/2*b**2. Determine c(0).
-1
Let d(a) = -1 - a + a + 2 - 9*a. Calculate d(-1).
10
Let i(r) = r**3 + 6*r**2 + 6*r - 3. Let n = -21 - -16. Calculate i(n).
-8
Let i(x) = x**2 + 3*x - 1. Suppose -5*q = -3*q + 4. Calculate i(q).
-3
Suppose -z + 5*s + 22 = 0, -4*s + 4 = 20. Let h(q) = 7*q + 1. What is h(z)?
15
Suppose 7*v - 9 = 4*v. Let y(f) = -3*f + 6 - f + v*f - 2. Give y(5).
-1
Let q(w) = w**3 - 3*w + 1. Let t = -8 - -13. Let y = t + -5. Suppose y = 4*g + g - 10. Give q(g).
3
Let k(v) = -7*v**2 + 6*v**2 - 32 + 35. Determine k(3).
-6
Let o(y) = -y**3 - 3*y**2 + 4*y - 4. Let a be 2 - 8 - (2 + -4). Let i be o(a). Let q(c) = 3 - 5*c + 3*c**2 - 4*c**2 + 0*c**2. Give q(i).
7
Let h be 38/9 - (-4)/(-18). Suppose 9 = -2*o - o. Let n(q) = q**2 - 4*q - 2. Let c(t) = -t**2 + 3*t + 2. Let r(d) = o*c(d) - 2*n(d). What is r(h)?
10
Suppose -i - 20 = 4*i, 0 = -2*t - 3*i - 10. Let v(n) = -3*n**2 + n. Calculate v(t).
-2
Let j(m) be the third derivative of -1/6*m**3 - m**2 + 0*m - 5/24*m**4 + 0. Calculate j(-2).
9
Let r(p) = -4*p + 6 + 7 - 12. Give r(1).
-3
Let f(j) = -j**3 + 8*j**2 - 10*j - 11. Let u be f(6). Let o(y) = 4*y**3 - y**2 - y + 1. Give o(u).
3
Let q = -163 - -167. Let g(n) = n**2 - 6*n + 1. Determine g(q).
-7
Suppose 0 = -5*s - 14 + 39. Let a(t) = t - 2*t + s + 0*t. Give a(-5).
10
Let d(r) be the third derivative of r**5/60 - r**4/6 + r**3/2 + 23*r**2. Give d(3).
0
Let o be 1*(0 + (6 - -3)). Suppose 0 = -s + 4*k + o, -3*s - 15 = -2*s + 4*k. Let i(h) = 2*h + 4 - h + 0. Calculate i(s).
1
Suppose -2*y = 2*v - 6, 5*y - 2 = -2*v - 5. Suppose 0*b = 2*b + 4*d, b - v = 4*d. Suppose -i - 18 = b*i. Let a(f) = -f - 4. Calculate a(i).
2
Let t(b) = -8*b + 8. Let k(g) = -g**2. Let r(i) = -k(i) + t(i). Let u(c) = c**3 - 11*c**2 - 13*c + 18. Let p be u(12). What is r(p)?
-4
Let n(c) be the second derivative of -c**6/720 - c**5/120 - 5*c**4/12 - 5*c. Let v(p) be the third derivative of n(p). Determine v(2).
-3
Let n(q) be the third derivative of 0*q + 5/6*q**3 + 1/24*q**4 + 0 + 3*q**2. What is n(6)?
11
Let u(h) = 0 + 6 + 18*h - 7 + 0. Give u(1).
17
Let d = 32 + -26. Let i(n) be the second derivative of n**5/20 - n**4/2 - n**2/2 + 2*n. What is i(d)?
-1
Let w(v) = v + 7. Let r be w(-3). Let k = 7 - r. Let p(z) = z - 4. What is p(k)?
-1
Let x(p) be the second derivative of -p**3/6 + 8*p. Let o(n) = -5*n**3 + n - 1. Let i(v) = o(v) + x(v). Determine i(-1).
4
Let i(o) = o**2 + 7*o + 6. Suppose 0 = 3*s - 8 - 1. Let h be 2 - (1 + -2 + -2 - -3). Let a be (2/s)/(h/(-12)). Calculate i(a).
-6
Let y(m) = m**3 - 5*m - 9. Let b(f) = -f**3 + 6*f + 10. Let w(t) = -4*b(t) - 5*y(t). What is w(0)?
5
Let g(b) = b**2 - b - 1. Let i(p) = 3*p**2 - 2*p - 2. Let n(y) = -8*g(y) + 3*i(y). Let m be (-1 + 2/2)/(-1). Suppose 0 = 3*v - m*v + 6. Give n(v).
2
Let h(k) = -2*k**2 - 1. Suppose -31 = q - 4*i, 0 = -2*i + 9 + 1. Let r = 10 + q. Calculate h(r).
-3
Let x(o) = 2*o**2 - 4*o + 4. Suppose 0 = 2*f - 22 + 16. Determine x(f).
10
Suppose -2 = -2*l + 2. Let x(q) = -5*q + l + 12*q**2 - 11*q**2 - 2*q**2. Determine x(-3).
8
Let z(a) = -a + 6. Let g(v) = 4*v**2 + v + 1. Let i be g(-1). Suppose 9 - i = -w. Determine z(w).
11
Let v(w) = 7*w + 10*w + 11*w - 25*w - 1. Let o = -43 + 71. Suppose 3*s = h - 12, -5*s = -2*h + o - 7. Calculate v(h).
8
Let t(z) = z**2 - 6*z - 10. Let l = -76 + 83. Determine t(l).
-3
Let m(d) = -d. Suppose -3*l - 10 = -3*c - 2*c, 5*c = -l + 30. What is m(c)?
-5
Let s be (-3 + 1)*(2 + 3*-2). Let z(p) = -p**3 + 7*p**2 + 6*p + 6. Determine z(s).
-10
Let m(v) be the first derivative of v**4/4 - 4*v**3/3 - 4*v**2 + 3*v - 1. Suppose 4*o + 5*l + 0*l - 20 = 0, 2*o - 4*l = 10. Calculate m(o).
-12
Suppose -4*j - 32 = 4*u, -14 = u - 2*j + 6*j. Let m(d) = -d**3 - 6*d**2 - d + 1. What is m(u)?
7
Let p = -10 + 14. Let i(q) = -q - 3 - 3*q**2 + q - p*q + 0*q**2. Determine i(-2).
-7
Let a(i) be the third derivative of -i**6/120 + i**5/10 - 5*i**4/24 - i**3 + 12*i**2. Suppose -t - 4*t + 25 = 0. What is a(t)?
-6
Let k(d) be the first derivative of -d**7/840 - d**6/360 + d**4/24 - 4*d**3/3 + 6. Let p(f) be the third derivative of k(f). What is p(0)?
1
Suppose -6*t + 2*t = 20, -25 = b + 4*t. Let u = -5 - b. Let r(h) = 0*h**2 + 5 + u*h**2 - 4 + h + h**2. What is r(-3)?
7
Let r be 3 + (1 - 0) + -3. Suppose -7 = -2*p - r, 4*p = 2*g + 2. Let k(c) = -3*c + 2. Give k(g).
-13
Let g(a) = -29*a**3 + 3 + 4*a**2 - 2 - 6*a**2 + 0*a**2. Give g(1).
-30
Let h(f) = 3*f**2 - 38*f - 14. Let w(r) = -r**2 + 13*r + 5. Let g(v) = -6*h(v) - 17*w(v). Determine g(6).
5
Suppose -h - 10 = -3*h. Let l(t) = t**3 - 5*t**2 + 3*t + 1. Determine l(h).
16
Let q(s) = -3*s**3 + 6*s**2 - 4*s - 4. Let n(z) = 16*z**3 - 30*z**2 + 20*z + 19. Let j(v) = -2*n(v) - 11*q(v). Give j(5).
1
Let y(k) = 1 - k + 2 + k**3 - 2. Let v(h) = 5*h**3 - 4*h**2 - 5*h + 2. Suppose 2*j - 6 = j. Let p(x) = j*y(x) - v(x). Determine p(-4).
8
Let j(n) = n + 1. Suppose -6 = -6*o + 6. Determine j(o).
3
Let o = -18 - -18. Let q(v) = -v**3 - v**2 - v - 7. Determine q(o).
-7
Suppose -2*r = -4*m - 8, -4*m - m = 3*r - 12. Let k(i) = 3*i**2 + m*i**2 - 4*i**2 + 4 + i**3. Suppose 2*d = d. Calculate k(d).
4
Let p(w) = w - 6. Suppose 0*k + 25 = k. Let d be 1 + 0/(-2) + k. Suppose 5*a - 9 = -5*s + d, 6 = 2*a - 2*s. Calculate p(a).
-1
Let v be ((-27)/(-12) - 1)*-4. Let k(g) = -5*g + 1 + g**2 + 6*g - 3 + 3*g. Calculate k(v).
3
Let d(w) be the first derivative of 1 + 5/3*w**3 - 1/4*w**4 - 1/2*w**2 + 0*w. Let u = -136 - -141. Give d(u).
-5
Suppose -g - 5 = v, -2*g - 20 = -6*g + 4*v. Suppose -2*f = -g*f - 16. Suppose -5*p + f = -7. Let a(l) = -l**3 + 2*l**2 + 2*l - 4. What is a(p)?
-7
Let p(h) = -3*h**2 + 4*h - 3. Let b be 198/30 - 3 - 3/5. Calculate p(b).
-18
Suppose 3*d - 7*j + 2*j = -20, 3*d - 8 = -2*j. Let l(w) = -11*w - 39. Let c(b) = 4*b + 13. Let a(t) = -8*c(t) - 3*l(t). Determine a(d).
13
Suppose 2*t + 4 = 2. Let n(v) = 8*v**2 - 4*v + 1. Let p(u) = -7*u**2 + 3*u - 1. Suppose -3*d - 23 = -8. Let j(x) = d*p(x) - 4*n(x). Calculate j(t).
3
Let x(u) = -427*u**3 + u**2 + 429*u**3 - 2*u**2. What is x(2)?
12
Let v(s) = -s**3 + 9*s**2 - 8*s - 2. Let o be (2 - -4) + -1 - (-3 + 0). Determine v(o).
-2
Let a(v) = -6*v**3 - 8*v**2 + 4*v - 8. Let y(o) = 5*o**3 + 7*o**2 - 4*o + 7. Let z(d) = 4*a(d) + 5*y(d). Let x = -14 + 10. Calculate z(x).
3
Let u(d) = -18*d + 8. Let g(f) = 17*f - 7. Let l(j) = 7*g(j) + 6*u(j). Determine l(2).
21
Let r(y) = y**2 - 2*y + 1. Let o be 1 + -1 + 1 + -2. Suppose 5*g + 3*q - 3 = 0, -q = -0*q + 4. Let w = o + g. Calculate r(w).
1
Let o(s) = s**3 - 4*s**2 - 6*s - 2. Let i be 8/(2 - -2) + 0 + 3. Give o(i).
-7
Let d(i) = 5*i**3 + 5*i**2 - 5*i**3 + i + i**3 + 0*i**2. Give d(-5).
-5
Let b(z) = z**2 - z + 7. Suppose 4*g - 2*c + 8 = 0, 7*c - 4*c = -5*g + 12. Give b(g).
7
Let r(z) = -4*z**3 + z**2 + z + 1. Let c = 1 + 7. Suppose 2*d = -4*l - 10, 4*l - d - c = 3*d. Calculate r(l).
5
Let g(a) = a**2 - 7*a + 8. Suppose -m + 7 - 1 = 0. Give g(m).
2
Let r(q) be the second derivative of -q**6/120 - q**5/20 - q**4/24 - q**3/3 - q**2 + 3*q. Let y(z) be the first derivative of r(z). What is y(-3)?
1
Let m = 13 - 8. Let x(v) = v**3 - 4*v**2 + 2*v + 1. Let t be x(4). Let w(i) = -3*i + t*i - 5 - i**2 + i. Determine w(m).
5
Suppose -3*t = -9, -c = -0*t - 2*t + 4. Let d(a) = -c - 2*a + 3 + 0 + a. Let v = -7 + 4. Give d(v).
4
Let r(c) = 6*c + 1. Suppose 0 = 4*s + y + y - 24, 2*y = -3*s + 20. Suppose 4*t - l = l, s*t + l - 6 = 0. What is r(t)?
7
Let o(a) = a + 4. Let n = -2 + -4. Calculate o(n).
-2
Let m(d) = -12*d**3 + 8*d**3 + 1 + d**2 + 5*d**3 + d. Calculate m(0).
1
Let l(m) = 2*m - 8*m**2 + 4*m**2
|
{
"pile_set_name": "DM Mathematics"
}
|
4 + -2). Let i be (-2)/5 - 2/(-5). Which is the nearest to n? (a) 5 (b) k (c) i
c
Let v = -0.388 - 6.672. Let f = v - -7. Let p = -0.04 + f. Which is the closest to p? (a) 0.2 (b) 1 (c) 0
c
Suppose -6 = b - 4*b. Suppose k = -b*k. What is the nearest to k in -2, -0.5, 4?
-0.5
Let y = 13.325 + -0.025. Let w = y + -13. Let r = 0.03 - -0.37. What is the nearest to -0.1 in -2, r, w?
w
Let z = -0.5 - 0.9. Let h = 0.4 + z. Which is the closest to 2? (a) 3 (b) -3/4 (c) h
a
Let w be ((-40)/75)/((-4)/6). Which is the nearest to 1? (a) w (b) -4 (c) -2
a
Suppose g - 30 = -2*g. Let x be (-15)/g*3/9. What is the nearest to x in -2/11, 2/11, -0.3?
-0.3
Let p(y) = -y**3 - 2*y**2 + 3*y - 1. Let u be p(-3). Let m be (-10)/8 + 1 + u. Let z be (-1 + (-2)/(-3))*1. Which is the closest to -2/7? (a) 2 (b) z (c) m
b
Let m = -129 - -128. What is the closest to m in -9, 1, 2/7?
2/7
Let c = -66 + 65.6. What is the nearest to -1 in -5/2, -3, c?
c
Suppose -3*w + 0*f = -3*f - 36, 3*f = 15. Suppose 49 = 3*q - w. Let g be 15/q + (-3)/6. Which is the closest to 0.1? (a) 1 (b) g (c) -2
b
Suppose 4*l + 14 = 2. Let d be (-1)/l + (-15016)/66. Let z = d - -227. Which is the closest to -1/4? (a) z (b) 5/3 (c) -4
a
Let r = 4.5 - 3.5. Which is the closest to -0.1? (a) r (b) 4 (c) -0.4
c
Let m = 0 + -0.3. Which is the nearest to 1? (a) 4 (b) m (c) 0
c
Let f = -0.1 + 0.2. Suppose 0 = 5*w - 5*i + 13 + 7, -3*i + 24 = -5*w. Let d = w + 1. Which is the closest to f? (a) d (b) 2/3 (c) -4
b
Let n = -16 + 12. What is the nearest to -0.2 in -0.1, n, 3?
-0.1
Let w = 32 + -31. Which is the closest to w? (a) -8 (b) 0 (c) -1/5
b
Let k = -0.195 + -0.105. Which is the nearest to 1? (a) k (b) 9 (c) 5
a
Let g = -2639/40424 + 1/1304. Let q = g - 27/62. Let p = 1 - 1. What is the closest to p in 0, q, 5?
0
Let b(a) = a + 14. Let f be b(-13). What is the closest to -1 in f, 1/9, -0.1?
-0.1
Let o = -5.1 - -5. Let p(h) = -2*h**2 + 2*h + 1. Let f be p(-1). Let t be ((-4)/42)/(f/9). Which is the nearest to -1? (a) t (b) o (c) -0.2
c
Let t = 0 - 0. Suppose -5*u - 5 = 10. What is the closest to u in -1/4, t, -4?
-4
Let s = -3.035 + 0.035. Let l = -58 - -113/2. Let u(z) = z - 2. Let q be u(0). Which is the closest to q? (a) 0.5 (b) s (c) l
c
Let p = 0.152 + 0.148. What is the closest to -2/5 in -0.4, -2/11, p?
-0.4
Let i = 17 - 16. What is the closest to i in 2/15, -0.4, 1?
1
Let o(l) = l**2 - 5*l + 4. Let a be o(2). Let h = 0.9 + -5.9. What is the nearest to a in 2/5, h, 0.5?
2/5
Let k = -31 + 31. Which is the nearest to -1/3? (a) k (b) -4 (c) 0.1
a
Let r = -11 + 14. What is the closest to 1 in 2, r, -0.5?
2
Let u = 1937/210 - 97/10. Let o = -4/21 + u. Let f = 0.8 - -0.2. What is the closest to o in f, 1/4, -3?
1/4
Let u = -3/13 - -19/26. Let z = -0.231 - -3.231. What is the nearest to u in 0.2, -1, z?
0.2
Let w = -12 - 0. Let l = -15 - w. What is the nearest to 1/3 in -2, -0.4, l?
-0.4
Let l be 4/(-6)*(-6)/(-12). Let t = -0.03 - -4.03. What is the nearest to l in t, 2, 0.5?
0.5
Let l = -2.4 + 2.6. What is the nearest to l in 1, 3, 2/9?
2/9
Suppose 0 = 5*u + 2*l - 3*l + 34, -3*u + 3*l = 30. Let g be (-4)/u - 8/(-6). Let n = -4 - -3. Which is the closest to n? (a) -5 (b) g (c) 1
c
Let r = 26/99 + -4/9. Let g be (-9)/18 + 26/68. Which is the closest to 2? (a) r (b) g (c) -1/4
b
Suppose -4*p + 3*p = 5. Which is the nearest to -2/5? (a) 3 (b) -0.4 (c) p
b
Let i = -2 + 7. What is the nearest to -2/3 in i, -5/3, 0?
0
Let n = -5 - -3. Let j = -0.2 - 0.1. What is the closest to 0 in j, 0.2, n?
0.2
Let y = 0.5 + -0.7. Let t = 56 + -54. What is the closest to y in -0.3, t, 0.2?
-0.3
Let b be (-51)/(-12) - 2/8. Let y be (b - 6) + (-86)/(-44). Let q = y + 25/66. What is the nearest to 1 in -2/5, -2/3, q?
q
Let w be (4/(-24))/(1/4). Which is the nearest to w? (a) 0.1 (b) 3 (c) 0
c
Let b = 931/10 + -93. What is the closest to b in 2/9, 4, -0.2?
2/9
Let o be ((-18)/15)/(4/(-10)). Let w = 0.92 + 0.08. What is the nearest to 1/3 in -0.3, o, w?
-0.3
Let g = 0.3 - 2.3. Let p = 0 + 3. What is the nearest to g in p, -0.1, -3/2?
-3/2
Let h = -0.7 + 0.4. Suppose -5*m - 4*m = 18. Which is the closest to 1? (a) h (b) -1/4 (c) m
b
Let g(r) = r**2 + 7*r + 7. Let q be g(-5). What is the closest to q in -0.2, -1/7, 2/5?
-0.2
Let z = -87.96 + 90. Let a = z + -0.04. Let u = -209/35 - -27/5. What is the nearest to -1 in a, 5, u?
u
Let a be (4/10)/(24/90). What is the closest to 1 in a, -3, -4?
a
Let o(j) = -j**3 - 8*j**2 + 2*j + 14. Let d be o(-8). Suppose -9 = y - 4*y. Let z = d + y. Which is the closest to -3? (a) z (b) 2 (c) 0
c
Let k = 3.2 - 0.2. Let n = 18 - 17.9. What is the closest to n in k, 0.5, 1/4?
1/4
Let v = 3 + -2. Let y = -3/1222 - 61079/8554. Let g = y + 764/105. Which is the nearest to 0.1? (a) v (b) 4 (c) g
c
Let l be (2/(-44))/(1/4). Let g be 4/(-10)*(-15)/54. Which is the nearest to -1/3? (a) g (b) -5 (c) l
c
Let q = -24 + 97/4. Which is the closest to q? (a) 2 (b) -2/5 (c) -5
b
Let w = 29 + -31.6. Let j = w + 3. Let m be 2/3*(-3)/(-8). Which is the closest to -1? (a) 0.5 (b) m (c) j
b
Suppose -5*d + 2*v - 10 = v, 5*d = -v - 20. Let u be (-2 - (-38)/10) + -2. Which is the closest to 2/3? (a) 1 (b) d (c) u
a
Suppose 5*f = -0*f + 10. Suppose -y + 1 = -f. What is the nearest to -0.1 in -1, -4, y?
-1
Let a = -10.2 + 10. What is the closest to 0.1 in a, -2, -0.5?
a
Let o = -335/8 + 42. Which is the nearest to -0.1? (a) -1 (b) 2 (c) o
c
Let v = 0 - 0. Let u be ((-4)/5)/((-8)/20). What is the nearest to v in u, 0.3, 3/2?
0.3
Let f = 8 + -3. Let o be -2 + 3 - 5/8. Which is the closest to 0? (a) 4 (b) o (c) f
b
Let h = -4.9 + 5. Which is the closest to -2? (a) -4 (b) h (c) 0.3
a
Let i = 1.37 + -0.37. Which is the nearest to -0.1? (a) 0.1 (b) -0.1 (c) i
b
Let o = -832/5 - -167. Let p = -0.65 - -0.45. Which is the nearest to -1? (a) o (b) -1 (c) p
b
Let m = 0.2 + 0. Suppose 5*a + d + 12 = -d, 3*a + 4*d = -10. What is the closest to m in -3, a, 0.3?
0.3
Suppose 8 = 10*r - 6*r. Suppose -r*h - 4 = -4*h. What is the closest to -0.1 in h, 0, -2/5?
0
Suppose 4*l = -3*q - 4 + 1, 4*l + 5*q = -13. What is the closest to -0.1 in -2, 0, l?
0
Let x = 1.7 - 2. Which is the nearest to -0.2? (a) 2/3 (b) x (c) 1/4
b
Suppose 0 = -z - 3*h - 9, -2*z - 3*z - 23 = 4*h. What is the nearest to z in -1/2, 0.5, 1?
-1/2
Let h(t) = -t - 2. Suppose 3*l = 2*n - 16, n = -3*l + 7*l + 18. Suppose n*s + 6 = -0*s. Let v be h(s). Which is the nearest to v? (a) -2/11 (b) -0.4 (c) 5
a
Let i = -1 - 0. Which is the closest to i? (a) -0.2 (b) 0.1 (c) 6/7
a
Let j(w) = w - 4. Let s be j(6). Suppose -2*q - s*k - 7 = 9, 4*k = 2*q - 8. Let p = 1.1 - 0.8. Which is the closest to -1/2? (a) -1 (b) q (c) p
a
Let m = 12.6 + -13. Suppose 3*k + 5*i = 2*k - 9, -4*k = -i - 6. Let p be k/(-10)*(-10)/(-4). Which is the closest to p? (a) m (b) -0.5 (c) 0.5
a
Let y = -129 - -133. Which is the closest to -1? (a) 0.5 (b) 5 (c) y
a
Let j = 0.22 + -0.02. Which is the closest to 0.1? (a) j (b) -0.2 (c) -0.4
a
Suppose 0 = 5*a + 4*l - 11 - 3, 0 = a + 3*l - 5. Let g = 40 - 37. Suppose -q + 7 = -a*z, 6 = g*z - 4*q + 24. What is the nearest to -0.1 in 0.4, z, 0.3?
0.3
Let q = 1 + -1. Let w = 232/1125 - -2/125. Which is the closest to q? (a) -3 (b) 1/4 (c) w
c
Let g = 24 + 60. Let n be (-1)/(0 - g/(-8)). What is the nearest to -1 in -1/5, 2, n?
-1/5
Let k = 0 + 5. Let a be (-2)/8 + 9/4. Suppose 4*i - a = 3*r + 1, 3*r - 18 = -3*i. What is the nearest to 1 in i, -2/9, k?
-2/9
Let y = -10 + 10.1. Let p = 1.9 + y. What is the closest to 1 in -1/11, -0.4, p?
p
Suppose 3*m - 2 - 5 = g, -3*m + 2*g = -11. Let w = 1 + -0.6. Let x be (-6)/21 + 4/(-35). Which is the closest to m? (a) w (b) x (c) -3
a
Let w = 4452/17 + -262. Let x = -16 + 14.9. Let s = 1 + x. Which is the nearest to s? (a) -4 (b) 0.3 (c) w
c
Let h be (-2)/3 - (-84)/72. Let q = 1.2 - 0.8. Which is the nearest to 0? (a) -2 (b) h (c) q
c
Let a = -78 - -77.8. What is the closest to 3 in 3, -2/7, a?
3
Let n = -2.9 + 3. Let u(t) = -t**2 - 3*t + 5. Let l be u(-5). Let p be 6/27 - (-3)/(-135). Which is the nearest to 1/4? (a) p (b) n (c) l
a
Let w = 3.874 + 0.026. Let k = 0.4 - 0.3. Let c = k + w. What is the nearest to -
|
{
"pile_set_name": "DM Mathematics"
}
|
s 4/(-6) + 5207/f a prime number?
False
Suppose 1894*d = 1874*d + 180. Let v = -19 - -10. Is ((-339)/d)/(6/v)*2 composite?
False
Let k be ((-21)/(-6))/(-7)*0. Let v(h) = h. Let r(i) = 4*i - 95. Let u(j) = -r(j) + 6*v(j). Is u(k) a prime number?
False
Suppose 0 = 5*f - n + 41, -4*n - 12 = -2*f + 4*f. Let j be (-4 - 36/f)*10. Is (-1)/j - 772/(-10) a prime number?
False
Suppose 8*v - 3 - 13 = 0. Let q = -1035 + 4867. Suppose 2*t + 2*t = 4*z + q, -z = v*t - 1901. Is t prime?
True
Suppose 5*m - 9*z = -8*z + 468445, -5*m + 3*z = -468445. Is m a prime number?
False
Let t(w) = -658403*w + 2803. Is t(-2) composite?
False
Let y(r) be the second derivative of -23*r**4/12 + r**3/3 - 7*r**2 + 24*r. Let f(k) be the first derivative of y(k). Is f(-2) composite?
True
Suppose -119*g + 115*g - 61400 = 0. Let p = 27481 + g. Is p a composite number?
True
Let c(v) = -859*v + 635. Is c(-14) a prime number?
False
Let x = -16 + 16. Suppose 0 = 5*z + 5*j - 155, 5*j + x*j = 5*z - 185. Let o = 65 - z. Is o a prime number?
True
Let l be (-1)/2 - 54/(-12). Suppose -l + 7 = -3*f. Is 146 + ((-12)/(-4))/f composite?
True
Let z(s) = -5*s + 54. Let u be z(7). Let c be (12 + (1 - 2))*19/u. Suppose 5*a = 7*b - c*b + 19021, b - 4*a = 4771. Is b a composite number?
False
Let a = 9688 - 6826. Suppose a = -26*k + 99556. Is k a prime number?
True
Is (-83)/3*(13 + -402 - (-3 - 5)) prime?
False
Is (-2)/(-26)*-2 + (-1471968183)/(-11219) a prime number?
True
Let n(y) = 3687*y + 358. Is n(9) a prime number?
False
Let k = 143117 - 56490. Is k a prime number?
True
Let g(q) = 13845*q**2 - 68*q + 212. Is g(3) composite?
True
Let r be (1 - (-170)/(-150)) + (-105287)/(-15). Let h = r + -216. Is h prime?
True
Suppose 4*z + r = 63831, 10428 = z + r - 5526. Is z composite?
False
Suppose 1880303 = 2*f - 3*d, 2*f - 7*d = -12*d + 1880343. Is f a composite number?
True
Let y(w) = -34*w - 1. Suppose -4*d = -9*d + 15. Suppose -d*k = -n - 5 - 5, -4*k = -4. Is y(n) a composite number?
True
Let p(l) = 4*l**2 - 68*l + 2. Let j be p(17). Is j/(-12) - 1246632/(-144) prime?
False
Let t(q) = 3348*q + 505. Is t(33) a prime number?
True
Suppose -5*j - 17*j + 25850 = 0. Suppose 0 = -6*r + j + 1339. Is r prime?
True
Let g = -5 - -9. Suppose a + 2*s + 4 = 0, -3*a - g*s = 2 + 4. Suppose 212 = 2*r + a*r. Is r a composite number?
False
Suppose 0 = 3*i - i + w + 10169, 15286 = -3*i + 5*w. Let k = 11250 + i. Is k prime?
True
Let h be (-44)/(-132) + 422084/3. Suppose 27*z = h - 8314. Is z prime?
True
Suppose -c = 4*d - 582, -9*c + 8*c = -3*d - 603. Let u be (-2)/(-10)*-3 + c/(-10). Is (-456516)/u + 5/(75/6) a composite number?
True
Suppose -v - 5*z + 8 = -0*v, -5*v + 2*z + 13 = 0. Suppose 0 = 5*o + 32*f - 37*f - 34025, -v*o + 5*f = -20415. Is o a composite number?
True
Is (3/18)/(6/(-8 - -8080604)) a composite number?
False
Let f(j) be the second derivative of -j**6/120 + 11*j**5/60 - 3*j**4/8 + 11*j**3/6 + j**2/2 + 12*j. Let t(b) be the first derivative of f(b). Is t(8) prime?
True
Let i = 42 + -41. Let m be (-1103)/(i/(-3)*-3). Let w = -694 - m. Is w composite?
False
Let m(c) be the second derivative of 113*c**4/12 - 7*c**3/3 - 54*c**2 + 2*c - 28. Is m(15) composite?
True
Let u = 213213 - 151352. Is u a composite number?
False
Suppose 0 = 119*h - 11970976 + 2604843. Is h a prime number?
True
Suppose 56*t - 59*t + 297942 = 3*n, 0 = t - 5*n - 99332. Is t composite?
False
Let s = -616 - -604. Is (-2086)/((-8 - s) + -6) a prime number?
False
Let s(h) = 32*h + 40. Let a(v) = -11*v - 13. Let q(g) = -17*a(g) - 6*s(g). Let d be q(-5). Suppose 0 = d*p - 13*p + 14707. Is p a composite number?
True
Suppose -3*w = 3*q - 625362, 388*q + 416911 = 390*q + 3*w. Is q a composite number?
True
Suppose g - 33*d = -30*d + 6932, 2*g + 4*d = 13914. Is g composite?
False
Let y = 52763 - -308094. Is y prime?
False
Let i be ((-70)/10 + 8)/(1/17). Is (-27652)/(-6) + (6 - i/3) a prime number?
False
Let o = -13679 - 420. Let d = o + 21076. Is d prime?
True
Is 21 - (-18009 + (-25 - -18)) a prime number?
False
Let u(h) = 20*h**3 - 6*h**2 + 2*h - 33. Let q = -340 - -346. Is u(q) composite?
True
Is (-1)/((-51)/(-6)) - (-65)/(-442)*-708010 a composite number?
False
Suppose 295 = -0*r + 5*r. Let g = 74 - r. Suppose -g*q = -13*q - 3946. Is q a prime number?
True
Suppose -8*s - 964 + 5068 = 0. Let z = -499 + s. Is z prime?
False
Let m be 1/(54/12 + -4). Suppose m*q - d - 3291 = 0, 0 = -4*q + d + 5237 + 1346. Is q a prime number?
False
Let g be -2 + (-5)/(25/(-2765)). Let v = 1344 - g. Suppose 5*i - v - 3192 = 0. Is i a composite number?
False
Suppose -5*p = 10, -2*p = 4*o - 6*p. Is (o - (-11 - -7))/(2/45691) prime?
True
Suppose 3*x - 2*y = 1071, -3*x = x - 3*y - 1427. Let t = 32 + x. Is t a prime number?
False
Let h be (23/(-4) + 2)*-4. Suppose -4*a - a = h. Is (a + 1265)*(-6)/(-12) composite?
False
Suppose 42*z + 148 = 46*z. Let d = z + -51. Let j(l) = -231*l - 31. Is j(d) a prime number?
True
Let v(y) = -y**2 + 17*y - 50. Let f be v(4). Is (-3 + (-2131)/f)*(6 + -16) prime?
False
Suppose 4*y - 2182825 = 164*a - 169*a, -2*a + 873107 = -3*y. Is a a composite number?
True
Suppose 5 = -2*y + 3*y + 4*o, -4*y = 2*o - 34. Suppose 3*p + 37998 - 7124 = 5*d, -3*p - y = 0. Suppose 0 = 6*b - d - 121. Is b composite?
False
Let g be -8 - -4 - 80/(-4). Let s(r) = 2*r**3 - 8*r**2 - 11*r - 23. Let q be s(g). Suppose 5*u + 4*i - q = 0, 5*u + 3*i - 8*i - 5945 = 0. Is u a prime number?
False
Suppose -4*g = -g. Suppose 2*p - 1045 = -3*b, g = 3*p + 3*b - 6*b - 1590. Suppose -6857 = -6*s - p. Is s composite?
True
Let h = -36 - -40. Suppose -h*d - 184 = -4*m, 0 = -d - 5 + 7. Suppose c + m = q, 2*c - c - 93 = -2*q. Is q composite?
False
Let d be (-5 - 0) + -10 + 10. Let a be 6/(-4)*(3 + d + 0). Suppose 18869 = a*r + 2*k, -3*r + 18849 = -0*r - 3*k. Is r prime?
True
Let k = -50 - -2. Let z = k - -38. Let m = z + 113. Is m composite?
False
Is ((8/(-10))/(-1))/(214/35525605) a prime number?
False
Let m(o) = -o**3 - 13*o**2 + 18*o + 13. Let q be m(-14). Is 215/q*(-6563)/5 prime?
True
Let h = 742 + -472. Suppose -h = -4*z + 10798. Is z prime?
True
Is 0 + 0 - (65526/(-6) + -18) composite?
False
Let i = -53206 - -92485. Is i a prime number?
False
Suppose -2*k + 86 = -5*i + 500, 3*k - 93 = -i. Suppose -75*q - 8271 = -i*q. Is q composite?
False
Suppose -36*a + 40*a = 8. Suppose -a*j = -h + 131, h - 3*j + 7*j - 101 = 0. Is h prime?
False
Let m be (-2)/10 - (122994/(-45) + 8). Let k = 3472 + m. Is k composite?
False
Is 10 + (-273)/26 + (-239058)/(-12) a composite number?
True
Suppose 37*u - 55 = 32*u. Suppose -u*a + 6719 + 19758 = 0. Is a a prime number?
False
Suppose -5*p - 3*t + 4239551 = 0, 0 = -4*t - 12 - 20. Is p a composite number?
True
Let t(a) = 98465*a**3 - 9523*a**3 - 22*a - 1 + 2*a**2 + 21*a. Let m be t(1). Suppose 6*q + 8*q - m = 0. Is q prime?
True
Let l(u) = 131*u**2 + 89*u + 23. Is l(-31) a composite number?
True
Let x(d) = -181762*d - 1017. Is x(-5) a prime number?
True
Suppose 59*i - 13645167 = -1842799 - 149455. Is i composite?
False
Let o(w) = 6*w + 17. Let k be o(-6). Let f be 2 + (k + 4 - -4). Is f/3 - 17*59*-2 a composite number?
False
Let b be 2/(20/8 + -3). Let l be 4 + b + 2 + -2. Suppose l = 2*h + 3*h - 5, -5*i - 2*h + 427 = 0. Is i a prime number?
False
Is 6/(-12) + (-6045732)/(-56) a composite number?
True
Let c = 169 - 165. Is (-3 - 49014/3)*c/(-12) a composite number?
True
Let w(b) = 574*b + 1203. Is w(58) a prime number?
False
Suppose -671 = -4*b + 11809. Suppose 3*v + b + 3384 = 0. Let k = v - -4425. Is k composite?
True
Let c(b) = 2*b**3 + 6*b**2 + b + 9. Let l be c(-5). Let t be ((-6)/4)/((-4)/(l/9)). Is (155 - 0)*1 - t a prime number?
False
Let f be (-6)/4*4/2. Let j(h) = -5 + 20 - 9*h - 2 - 18*h - 7. Is j(f) a prime number?
False
Suppose n + 0*g - 547 = 5*g, -n + 546 = -4*g. Suppose -371 - n = -v - 4*r, -r + 3652 = 4*v. Is v prime?
False
Suppose -1192 = -686*c + 682*c. Suppose -c*h + 255180 = -286*h. Is h a prime number?
False
Suppose -53 = 5*r - 73. Suppose -r*f + 33 - 25 = 0. Is (-1923)/3*(-3 + f) a prime number?
True
Let n(x) = 42*x + 40. Let r be n(8). Suppose 2*y - r = 2*p - 0*y, 2*p + 2*y = -392. Let h = -101 - p. Is h a prime number?
False
Suppose -20 = 4*h - 5*a, -a = -5*h - 0*a - 4. Suppose -c = 4*m - 7 - 9, 2*c + 2*m - 8 = h. Suppose 5*d + l
|
{
"pile_set_name": "DM Mathematics"
}
|
(sqrt(68)*3 + -5))**2 + -1).
-12735 + 1200*sqrt(17)
Simplify (sqrt(28)/(sqrt(16)/sqrt(4)))**2 + (sqrt(7) + sqrt(56)/(sqrt(8) - sqrt(8)*-2))**2 + 0 - (4 + 6*sqrt(126)/sqrt(2)).
-18*sqrt(7) + 139/9
Simplify (sqrt(24) - 4*sqrt(72)/sqrt(3) - 5*sqrt(24)*-1)/(sqrt(3200) - sqrt(3200)*-1).
sqrt(3)/20
Simplify sqrt(684)*2*4 - 1*(sqrt(684) + -2).
2 + 42*sqrt(19)
Simplify 4 + (sqrt(187) - 2*-1*sqrt(187))/((sqrt(110)*-2)/sqrt(10) - sqrt(11)) + -1 + 1.
-sqrt(17) + 4
Simplify -3*((sqrt(912) - ((-3*(sqrt(912) - sqrt(912)*-2) - sqrt(912)) + sqrt(912))) + sqrt(912))/((-3*sqrt(18)/sqrt(2) + sqrt(9))/sqrt(3)).
66*sqrt(19)
Simplify 5 + 5*(1 + 1*sqrt(320) + sqrt(320)) + 1 + -1.
10 + 80*sqrt(5)
Simplify (-1*4*sqrt(1375))/(sqrt(176)*-1 - 1*sqrt(704)).
5*sqrt(5)/3
Simplify (-3*sqrt(27)*-1)/(sqrt(36)*2 + sqrt(9)).
3*sqrt(3)/5
Simplify ((sqrt(17) + (-2 + sqrt(17))*2 + 1)**2 - (sqrt(17) - ((sqrt(34)/sqrt(2))**2*-6 - sqrt(17)) - (sqrt(17) + sqrt(833) + -1)))*-4.
-236 + 48*sqrt(17)
Simplify 5 + (sqrt(110) + (sqrt(110) - (sqrt(110) + sqrt(110)*3 - sqrt(110))))/sqrt(10)*2 + -3.
-2*sqrt(11) + 2
Simplify (sqrt(1584) + sqrt(1584) + -1*sqrt(1584) + sqrt(1584))**2 + (sqrt(11) + (0 + sqrt(11))**2)*-4 + 4*(sqrt(11)*3 - sqrt(11))*-2.
-20*sqrt(11) + 6292
Simplify -2 + -1 + -2*-6*((sqrt(288) + 2)*-6 + sqrt(288) + sqrt(288) + sqrt(288))**2.
10368*sqrt(2) + 32829
Simplify (((sqrt(432) + sqrt(432)*-1 - sqrt(432))*-5)/((sqrt(9) - sqrt(144)*-1) + sqrt(576)*-1))**2.
400/3
Simplify 3*(4 + (sqrt(425) + -1 + -1 - (sqrt(425)*2*4 + sqrt(425)))**2).
480*sqrt(17) + 81624
Simplify (3*(sqrt(1377) + -2)*-4 + -5)**2.
-4104*sqrt(17) + 198649
Simplify 2 + -3*sqrt(475) - (sqrt(475) + (-6*(-1 + sqrt(475)))**2).
-17134 + 340*sqrt(19)
Simplify 2*sqrt(832) + 0 + -5 - (4 + sqrt(832) + 0 - (sqrt(832) - (5 + sqrt(832)*-1))).
-14 + 24*sqrt(13)
Simplify ((4*1*sqrt(75) - (sqrt(75) - 2*sqrt(75)*6)) + -3*-2*sqrt(75)*-2)**2.
675
Simplify 5 + ((sqrt(128) - (0 + sqrt(128))*-2) + -3 + sqrt(128) + sqrt(128) + 1 + sqrt(128))**2 + -1.
-192*sqrt(2) + 4616
Simplify 1 + ((sqrt(133)*-2*1)/sqrt(7) + 3)**2.
-12*sqrt(19) + 86
Simplify -2 + 1 + 1 + ((sqrt(325) + -2*sqrt(325))*6 + 3)**2.
-180*sqrt(13) + 11709
Simplify ((sqrt(35) - sqrt(875))/sqrt(7) + -3 + -2 + (sqrt(5) - (sqrt(100)/sqrt(2))/sqrt(10)))**2.
40*sqrt(5) + 105
Simplify ((-2 + -1 + sqrt(171) + sqrt(171) - (sqrt(171) + -3 + -5 - sqrt(171)))*-3)**2.
540*sqrt(19) + 6381
Simplify (-1*sqrt(77)*1*5)/(sqrt(704) - 1*sqrt(704)*6).
sqrt(7)/8
Simplify -1*(sqrt(192) + -1*sqrt(192)) + (sqrt(192) - (sqrt(192) - -6*-1*sqrt(192))) - 3*(sqrt(192) + (0 + sqrt(192) - sqrt(192)) + sqrt(192) + -5).
15
Simplify (5*sqrt(3993))/(sqrt(22)/sqrt(8)).
110*sqrt(3)
Simplify 5 + 1 + sqrt(5) + (sqrt(5) - (sqrt(5) + -1)*-2) - (sqrt(405) + 3 + sqrt(405)*2).
-23*sqrt(5) + 1
Simplify (3*(sqrt(190) - 1*sqrt(190)) + (sqrt(190) - sqrt(190)*-2*1))/(sqrt(100)/(-1*sqrt(160))).
-12*sqrt(19)
Simplify -3*3*(sqrt(891) + 1)*4.
-324*sqrt(11) - 36
Simplify ((sqrt(209) + (sqrt(209)*1*-5 - sqrt(209)))*-5)/(sqrt(88)/(1*sqrt(8)) - sqrt(11) - 2*sqrt(176)).
-25*sqrt(19)/8
Simplify (1 + (sqrt(85) - (sqrt(85)*1 - sqrt(85))*-4)/(sqrt(5)*-2*2))**2.
-sqrt(17)/2 + 33/16
Simplify (1 + sqrt(80) + -3 - sqrt(80))**2*-1 + -2*(sqrt(80) + -1)*1.
-8*sqrt(5) - 2
Simplify sqrt(1300) + 3 + sqrt(1300)*1 + sqrt(1300) + -1*sqrt(1300)*-4.
3 + 70*sqrt(13)
Simplify 0 + sqrt(98) + (sqrt(2) + -2)*-6 - -5*-6*(-2*sqrt(2) + 2)**2.
-348 + 241*sqrt(2)
Simplify -2*(sqrt(80) + sqrt(80)*-2) + ((sqrt(5) + sqrt(5) + 2)*-1 + 1)**2.
21 + 12*sqrt(5)
Simplify sqrt(176) + ((2 + sqrt(176) - sqrt(176)) + sqrt(176) + -4 - sqrt(176))**2 - (3*(sqrt(11) - -3*sqrt(11)*1))**2.
-1580 + 4*sqrt(11)
Simplify -4 + ((sqrt(85)*-2*-6)/((sqrt(50)*-2)/sqrt(10)))**2.
608
Simplify sqrt(1377) + sqrt(1377) + (5*(sqrt(1377)*-2 + sqrt(1377)))**2 - ((sqrt(612)*-2)**2 - sqrt(136)/((sqrt(48)/sqrt(6) - sqrt(8)) + sqrt(8))).
19*sqrt(17) + 31977
Simplify ((2*sqrt(143)*3)/sqrt(11) + 0 + -3 + -5)**2.
-96*sqrt(13) + 532
Simplify -2 + (sqrt(70)*-2*-3)/(-2*sqrt(160)).
-2 - 3*sqrt(7)/4
Simplify (4*(sqrt(539) + -2 + sqrt(539) + -4)*-3)**2.
-24192*sqrt(11) + 315648
Simplify (sqrt(245) + 1 + 1 - -5*((sqrt(245) - sqrt(245)*-2) + sqrt(245)))**2 - (-1*(sqrt(245) - -2*sqrt(245)*-6))**2.
588*sqrt(5) + 78404
Simplify (1*(sqrt(1152) + -5) - (3 + sqrt(1152) + sqrt(1152)*5))**2.
1920*sqrt(2) + 28864
Simplify -1 + -5*(sqrt(10)/(3*sqrt(10)/sqrt(2)) + ((sqrt(200)/sqrt(4) + sqrt(2))**2 - ((sqrt(2) + 0)**2*-2 + sqrt(2) + sqrt(2)))).
-381 + 25*sqrt(2)/3
Simplify -4*(1 + sqrt(891)) + 5 - 3*(6*(sqrt(275) + -1) - sqrt(275))**2.
-20732 + 864*sqrt(11)
Simplify ((sqrt(24) - (sqrt(1944) + sqrt(1944)*-1 + sqrt(1944) + sqrt(24)))/sqrt(4))/((sqrt(3) - sqrt(9)/(sqrt(12)/sqrt(4))) + sqrt(48)*6).
-3*sqrt(2)/8
Simplify (-4*((1*sqrt(17) - sqrt(17)) + -3) + 4 + (sqrt(68)/sqrt(4) + -3 - sqrt(17)))**2.
169
Simplify (((sqrt(152) + sqrt(152) + sqrt(152) + sqrt(152)*-1)*-6 - sqrt(152)*-1*6)/(1*(sqrt(200) - (sqrt(200) + 2*sqrt(200)))))**2.
171/25
Simplify 0 + (-1 + (sqrt(684) + 2*sqrt(684)*5 + sqrt(684) + sqrt(684))*-1)**2*2.
312*sqrt(19) + 231194
Simplify (1*sqrt(1215) + (-1*sqrt(375) - sqrt(15)))/(6*sqrt(40)/sqrt(32)).
sqrt(3)
Simplify sqrt(2736)*1*6*-6 + (1 + sqrt(2736))*1*1.
-420*sqrt(19) + 1
Simplify ((-3*sqrt(96)*-1)/(sqrt(6)/(sqrt(15)/sqrt(5))))**2.
432
Simplify (1 + sqrt(176) + sqrt(176) + (0 + sqrt(176))*2 + (sqrt(176) - 2*sqrt(176)*5) + -4*(sqrt(176) + 1) + sqrt(176))**2.
192*sqrt(11) + 11273
Simplify 0 + (6*(sqrt(171) + (sqrt(171) - sqrt(171)*2 - sqrt(171))))/(-4*sqrt(36)).
3*sqrt(19)/4
Simplify ((-3*sqrt(209) + sqrt(209))*-5)/(sqrt(11) + (3*sqrt(66))/sqrt(6)).
5*sqrt(19)/2
Simplify 5*((-1 + (sqrt(153)/(sqrt(18)/sqrt(2)) - sqrt(17)))**2 - (-4*(-1 + sqrt(1088) - sqrt(1088)) + sqrt(1088) + sqrt(1088))).
-80*sqrt(17) - 15
Simplify 2 + (4*(sqrt(13) + sqrt(65)/sqrt(5) + sqrt(13)) - -5*sqrt(117)/sqrt(9)).
2 + 17*sqrt(13)
Simplify 6*((-1 + sqrt(147))*-1 + sqrt(147) + (sqrt(147)*1*-6 - sqrt(147)))**2*-2.
-86448 + 1176*sqrt(3)
Simplify (((4 + sqrt(112))*3 - (-2 + sqrt(112)*-4))*6)**2.
28224*sqrt(7) + 204624
Simplify (sqrt(51)/(sqrt(363)*1 - sqrt(363) - sqrt(363) - sqrt(3)) - ((0 + sqrt(2448))**2*3 + sqrt(2448)))*-1.
145*sqrt(17)/12 + 7344
Simplify (sqrt(252) + sqrt(252)*1*-5 - sqrt(252)) + (((sqrt(84)*1 - sqrt(84)) + sqrt(84))/sqrt(12))**2 + 1.
-30*sqrt(7) + 8
Simplify (sqrt(90)/sqrt(3))/sqrt(6) - (sqrt(45) + -1) - (((sqrt(320)*-1)**2 - sqrt(320) - sqrt(320)) + 3).
-322 + 14*sqrt(5)
Simplify (3 + sqrt(34)/(sqrt(20)/(4*sqrt(10))))**2*3.
72*sqrt(17) + 843
Simplify -4*(-1 + sqrt(1088))*6 - (sqrt(170) - (sqrt(170) + 2*sqrt(170))*6)/(sqrt(40)/sqrt(4)*-5).
-977*sqrt(17)/5 + 24
Simplify (sqrt(500) + 4 + 3 + (-4*sqrt(90)/sqrt(3))/sqrt(6))**2*2.
168*sqrt(5) + 458
Simplify (5*((sqrt(675) - (sqrt(675) + 1*sqrt(675) - sqrt(675))) + sqrt(675) - sqrt(675)))/(sqrt(81)/(-4*(sqrt(9) + (sqrt(9) - sqrt(9)*-2)))).
0
Simplify ((sqrt(576)*6 - sqrt(36) - sqrt(36)) + sqrt(36) + sqrt(36))/(sqrt(48)/sqrt(4)*-6) + (sqrt(9)/sqrt(12) - (-2*sqrt(12))/sqrt(4))**2 + 3.
-4*sqrt(3) + 87/4
Simplify (-2*(sqrt(684) + 1 + -5))**2 + (-4 + (sqrt(684) - (sqrt(684) + -2 + -5)))**2.
-192*sqrt(19) + 2809
Simplify (2 + -3*(sqrt(112)*-2 + sqrt(112) + 4 + 4))**2.
-528*sqrt(7) + 1492
Simplify (4 + sqrt(15)/sqrt(5))*5 + (sqrt(135) + sqrt(15))/sqrt(5) + sqrt(3) + (sqrt(144)/sqrt(4))/sqrt(12).
11*sqrt(3) + 20
Simplify (((sqrt(66)*4 + sqrt(66))/sqrt(3))/((sqrt(11) - (-2*sqrt(11) - sqrt(11)))*-3))**2.
25/72
Simplify sqrt(68)/(-2*sqrt(20)/sqrt(5) - sqrt(4)) - (-3 + 3 + (sqrt(17)*-1)**2).
-17 - sqrt(17)/3
Simplify -6*((1*sqrt(225))/sqrt(5) + (sqrt(5) + 2*sqrt(5) + 1)*5).
-108*sqrt(5) - 30
Simplify (-1 + ((2 + sqrt(5) + sqrt(5))*-3 - ((sqrt(5) + -2)*-4 + sqrt(5))) + -1)**2.
96*sqrt(5) + 301
Simplify 6*sqrt(192)/sqrt(4) + -5 + -1 + sqrt(192).
-6 + 32*sqrt(3)
Simplify 1*(-3*sqrt(90)/sqrt(5))/((sqrt(6)*2 + sqrt(6))*-1).
sqrt(3)
Simplify (1*sqrt(1008) - 4*(sqrt(252) + sqrt(28)))/(sqrt(28)/(sqrt(7) + (sqrt(112) - sqrt(112)*-1))).
-90*sqrt(7)
Simplify -2*(2 + 1 + sqrt(17)) + -3 + (2 + sqrt(153) + sqrt(153))**2.
22*sqrt(17) + 607
Simplify 2*(-5 + sqrt(39)/(sqrt(48) + sqrt(3)))**2 - (-3*(4 + sqrt(208))*-6)**2.
-1813124/25 - 10372*sqrt(13)
Simplify -2*((1*2*sqrt(242))/sqrt(11))/(sqrt(1584) + -
|
{
"pile_set_name": "DM Mathematics"
}
|
order.
3, y, -1, l
Let l = -2284 - -2287. Put -39, -2, l, -5 in decreasing order.
l, -2, -5, -39
Let n = -7 - -5. Let c = 111 + -111.2. Put n, -6/5, c in decreasing order.
c, -6/5, n
Suppose -49*r + 56*r = 49. Sort r, 0, -3, 4 in decreasing order.
r, 4, 0, -3
Let d = -167 - -163. Put 2, -6, -1, d in ascending order.
-6, d, -1, 2
Let t = -72.953 - -73. Let z = 0.447 - t. Sort -2, 0, z in decreasing order.
z, 0, -2
Let p be (1/(-3))/((-1)/(18/1)). Suppose -p*i - 18 - 6 = 0. Sort 0, 25, 4, i in descending order.
25, 4, 0, i
Suppose 5*a - 132 = 9*a + 4*l, 5*a - 4*l = -120. Sort -3, 5, a in decreasing order.
5, -3, a
Let i = -1.524 + 0.124. Let l = -1.2 - i. Sort 6/11, l, -3, 1.
-3, l, 6/11, 1
Let p(c) = 9*c + 70. Let g be p(-8). Sort -3, g, 1, -4 in decreasing order.
1, g, -3, -4
Let f be ((-6)/4)/(15/40) + 1. Sort f, 21, 0.9, 0 in decreasing order.
21, 0.9, 0, f
Let h(m) = m**2 + 3*m - 3. Let q be h(-2). Let i be 1*-2 + (-3)/(-2). Put -1/19, i, q in ascending order.
q, i, -1/19
Let k(n) = n**2 + 10*n - 5. Suppose 10 = -2*b - 5*i, i + 18 = 4*b + 60. Let c be k(b). Let m = 0.41 - 0.01. Put -2/9, c, m in decreasing order.
m, -2/9, c
Suppose 2 = g - 2*g. Let c(a) = a + 5. Let m be c(-6). Let d = m - -2. Put g, 5, d in descending order.
5, d, g
Suppose -4*i + 4*w = -24, i - 4*w + 2*w = 8. Suppose -i*a = 3*t - 6*t + 4, 0 = -t. Let l = -183 - -184. Sort a, l, -4 in decreasing order.
l, a, -4
Let y = -142 + 145. Sort y, 1/2, -5, 0.3.
-5, 0.3, 1/2, y
Let z = -9 + 14. Let n = 7.72 + -4.72. Sort 2/21, n, z in decreasing order.
z, n, 2/21
Let o be (((-6)/(-5))/2)/(23/(-115)). Sort -1, 2, o, 1 in ascending order.
o, -1, 1, 2
Suppose 147 = -5*u + 117. Put -1, -2, u, -5 in ascending order.
u, -5, -2, -1
Let u(z) = -z**3 - 21*z**2 - z - 25. Let p be u(-21). Sort p, 0, 20, -3 in ascending order.
p, -3, 0, 20
Suppose -y - 88 = -4*w + 4*y, 3*w - 63 = 3*y. Put 2, w, -3, 0 in ascending order.
-3, 0, 2, w
Suppose -14*g = -18*g - 80. Let f be (5/g)/(1/(-4)). Sort -1, 4, f in decreasing order.
4, f, -1
Let j be 3/(-4) + (-45)/(-100). Let r = 9/10 + j. Sort 0.3, -3/7, r in decreasing order.
r, 0.3, -3/7
Let g(r) = -r**2 + 11*r - 2. Let w be g(10). Let b be w/(-2) + 8 + -3. Put b, 0, 3 in descending order.
3, b, 0
Let g = -12/43 + 578/1763. Let b = 109/287 + g. Let n = 644 + -648. Put n, b, -0.2 in decreasing order.
b, -0.2, n
Let k be -9 + 12 - 7/1. Let x be 2 + 6 + (-4 - k). Put 3, x, -5 in decreasing order.
x, 3, -5
Let s(f) = f**2 - 3*f - 3. Let k be s(4). Let j be (-13 + k)/3 - -3. Let p(b) = -4*b - 16. Let g be p(-4). Put j, -5, g in ascending order.
-5, j, g
Let n be (6/(-9))/(6/(-441)). Suppose -5*f - 4*o + 87 = 0, -6*f + 3*f = 4*o - n. Let z = 26 - f. Sort z, -5, -4 in descending order.
z, -4, -5
Let p = 1622 - 1627. Put -0.3, p, -6 in decreasing order.
-0.3, p, -6
Let h = -0.09 + 4.09. Suppose 5*n = -4*x + 55, -n + 3*n - x - 35 = 0. Let l be (4/(-33))/(10/n). Sort l, -0.1, h in increasing order.
l, -0.1, h
Let x = -1849 - -1851. Suppose 4*n = 3*d + 43, 3*n - 8 = -d + 8. Put n, -2, x, 5 in decreasing order.
n, 5, x, -2
Suppose -12*q - 4*q = -11*q. Sort 10, -2, q, -3 in descending order.
10, q, -2, -3
Let n be ((-3 - 4) + 335/65)/(-2). Sort 2/21, -2, n, 13 in decreasing order.
13, n, 2/21, -2
Suppose 0 = -5*t - 41 - 44. Let b(c) = 4*c - 6. Let p be b(5). Let h = p + t. Sort 5, h, 4.
h, 4, 5
Suppose -3*y - 6*d = 6 + 12, 0 = -3*y + 3*d. Sort 3, -3, 19, y in ascending order.
-3, y, 3, 19
Suppose -26 = 4*b - 30. Put -3, 12, b in decreasing order.
12, b, -3
Let o = 6.7 + -7. Let j = 0.68 - -0.22. Let c = 1 - j. Put c, 1, o in ascending order.
o, c, 1
Let i be 6/(-16) + 1 + 46/(-3440). Let d = i - 1/86. Sort d, 5/2, 5, 51 in increasing order.
d, 5/2, 5, 51
Let z = 916 + -915. Sort -5/4, z, -77 in ascending order.
-77, -5/4, z
Let m = -0.4 - -3.4. Let p(b) = 40*b + 276. Let t be p(-7). Sort -0.5, 0, m, t in ascending order.
t, -0.5, 0, m
Let m = -173 + 178. Let j = 32 - 32.4. Put j, -7/2, m in decreasing order.
m, j, -7/2
Let h be 2/12*(-18)/(-4). Let a be ((-316)/36)/(1/(-6)). Let n = -52 + a. Put -2/5, n, h in increasing order.
-2/5, n, h
Let p(t) = t**2 + 4*t + 6. Let o be p(-3). Let u(i) = 3*i - 4. Let j be u(2). Let g = -140 - -702/5. Put j, o, g in increasing order.
g, j, o
Suppose -2*n - 25 = -2*j + 3*n, 5*n = -2*j - 25. Let h = 463 + -470. Sort j, h, 5 in increasing order.
h, j, 5
Let a = -4 - -1. Let i be -6*(4 - (-28)/(-8)). Let x be ((-2)/3)/(5/45*i). Sort x, -5, a in increasing order.
-5, a, x
Let y be 2*2 - 0*(-3)/(-12). Suppose 2*v = 0, -b = -2*b + 5*v + y. Sort 0, 3, -5, b in descending order.
b, 3, 0, -5
Suppose 3*n + 2*x - 6*x = -11, -5*n - 21 = -4*x. Suppose 25 = -i - u, 0*i + i = 3*u - 5. Let w = 20 + i. Put n, -2, w in decreasing order.
w, -2, n
Let n be 11/(-22) - (-9)/2. Let h be 3 + (-4 - (-4)/(n/(-1))). Let p = -0.2 + 0.1. Sort p, 2/7, h.
h, p, 2/7
Let m be 76/(-18) - (-4)/18. Let i be 7 - (3 + (10 + -2)/m). Sort -4, i, -6.
-6, -4, i
Let n = 8 + -15. Let l(f) = 4 - 5*f + 4 + 6*f - 2. Let x be l(n). Sort x, 1, 0 in ascending order.
x, 0, 1
Suppose 10310*v = 10302*v - 176. Put -1, 4, v in descending order.
4, -1, v
Let r(p) = -p**2 + 5*p + 16. Let z be r(7). Let x be 15/3 + z*-1. Suppose 4 = x*c - 5. Put -2, 1, c in increasing order.
-2, 1, c
Let h = 0.101 - -4.899. Let s = -0.4 - -0.2. Let y = 11 - 10.9. Sort s, y, h in decreasing order.
h, y, s
Let k(p) = p**2 + p - 35. Let m be k(-6). Suppose 24*y - 3 = 27*y. Sort -4, m, y, 4 in decreasing order.
4, y, -4, m
Let q(o) = -3*o**3 + 15*o**2 + 21*o - 21. Let m be q(6). Let r(y) = 2*y - 5. Let p be r(5). Put p, m, -4 in decreasing order.
p, m, -4
Let k(x) = -x**3 + 7*x**2 - 19*x + 123. Let p be k(7). Sort -5, p, 8 in decreasing order.
8, -5, p
Let o(t) = t**2 + 8*t + 8. Let q be o(-7). Let a be (-12)/(-9)*3 + 0. Suppose -a = 3*s - 2*s. Sort q, -2, s.
s, -2, q
Let t = 5109/5 - 1021. Put -0.14, t, 0.1, -0.2 in ascending order.
-0.2, -0.14, 0.1, t
Let r = 201 - 196. Put 4, -5, r in descending order.
r, 4, -5
Let x = 21.75 + -22.05. Let r(g) = g. Let l be r(-1). Let k be (3 + l)*1/14. Put 1/4, x, k in descending order.
1/4, k, x
Let z(q) = -q**2 + 5*q + 8. Let x be z(6). Suppose -14*g = -m - 19*g + 9, -3*m + 2*g = 7. Let n be (-6)/(3/x*m). Sort n, 1, -2 in increasing order.
-2, 1, n
Let y = -286 + 285. Put 0.54, y, -4 in increasing order.
-4, y, 0.54
Let m = 58 - 58. Suppose 2*u + m = 2. Suppose 2*d - 10 = -f, -2*d + 12 = 2*d - 2*f. Sort u, d, 3 in descending order.
d, 3, u
Let j = 5.84 - 0.822. Let b = 0.018 - j. Sort 5/4, b, 1/4 in decreasing order.
5/4, 1/4, b
Let i(l) = 13*l - 125. Let t be i(10). Sort 53, 3, 4, t.
3, 4, t, 53
Let r = -0.258 + 0.484. Let x = r - 0.116. Sort -1, -0.1, x in decreasing order.
x, -0.1, -1
Suppose -18*v + 5*v + 234 = 0. Suppose -4*b + 5*u + 0 + 10 = 0, -31 = -5*b - 3*u. Sort b, v, -3, -5.
-5, -3, b, v
Let u(a) = -a**3 + 16*a**2 - 59*a - 10. Let d be u(10). Sort 3, -192, d, 5 in decreasing order.
5, 3, d, -192
Let q be (4*1)/(-2 + 3). Let t be 12/(-10)*((-100)/3)/(-10). Suppose 1 = -0*l + l. Put t, l, q in decreasing order.
q, l, t
Let v = -0.047 - 0.253. Sort v, 0, -0.22 in increasing order.
v, -0.22, 0
Let u be (-3)/(-12)*(-108)/15 - -1. Sort u, 2/3, -13, -1.
-13, -1, u, 2/3
Let h = 37 - 13. Suppose o = 3*d - 10, o + h = 5*o + 4*d. Let x = o - 2. Sort x, 3, -2 in ascending order.
-2, x, 3
Suppose 5*s - 25 = r, 4*r - 10 - 5 = -3*s. Suppose -2*c = 2*c. Put s, -4, 3, c in descending order.
s, 3, c, -4
Let o = 361 - 361.1. Sort -2, o, -25, 2 in descending order.
2, o, -2, -25
Suppose u - 5*u = 0. Suppose m = 6*m - 20, 2*t + 4*m - 12 = u. Put t, -3, -9 in descending order.
t, -3, -9
Let h = 0.114 + 0.086. Put h, -3, 11, -0.2 in increasing order.
-3, -0.2, h, 11
Let d = -1.79 - -1.9. Let t = d + -14.71. Let j = -14 - t. Sort 5, 2/9, j in descending order.
5, j, 2/9
Suppose 0 = -4*o + 4, 3*o = -r - o + 29. Let p = 30 - r. Put p, 3, -9 in descending order.
p, 3, -9
Suppose 3*a - 5*s + 4 = -7*s, s - 7 = 3*a. Let g = 4 - 2. Put g, -6, a in ascending order.
-6, a, g
Let c(p) = -p**3 - 12*p**2 + 29*p + 18. Let k be c(-14). Let n be (1/(-2))/((-2)/20). Put 1, n, -4, k in increasing order.
-4, 1, k, n
Let t be (0 - 1)*6 - -1. Suppose 3*p = -27*y + 26*y - 12, -5*y - 4*p - 27 = 0. S
|
{
"pile_set_name": "DM Mathematics"
}
|
22.2?
1060.3522
Work out -0.2 * -75675.
15135
Work out 82337546 * -0.5.
-41168773
-29 times -1851407
53690803
8.5 times -20273
-172320.5
Multiply -1859722.38 and 3.
-5579167.14
Multiply 5.098106 and 4.
20.392424
-83286024 times 0.5
-41643012
-518 * 27742.3
-14370511.4
-8766*65
-569790
What is 1.8749 times -1149?
-2154.2601
Calculate -1.53313*-782.
1198.90766
-303.132 * -26
7881.432
-0.03 * -275.32049
8.2596147
Product of 86 and 2289.
196854
-69704786*3
-209114358
4 times 11128507
44514028
What is the product of -0.03342374 and 0.1?
-0.003342374
-288*-12.3287
3550.6656
780620.36 times 0.2
156124.072
What is the product of -17.84 and 0.82312?
-14.6844608
What is 7282131 times 2?
14564262
Work out 0.01 * -0.06719084.
-0.0006719084
Calculate -3.9*0.20091.
-0.783549
2145 times 10.5211
22567.7595
Product of 3.7229809 and 0.3.
1.11689427
What is -4 times -6782847?
27131388
-0.59 * 0.342528
-0.20209152
What is -1.19 times 9998?
-11897.62
-0.1*-103.87257
10.387257
Calculate -151490947*1.
-151490947
Work out -0.3 * -23439808.
7031942.4
-465.9*2233
-1040354.7
Work out -27 * 119782.
-3234114
Multiply -656.3 and 1.7941.
-1177.46783
-0.6 times 1120828
-672496.8
-12933234 * -0.21
2715979.14
3.079302*-0.4
-1.2317208
0.317 * -34.325
-10.881025
What is the product of -1 and 6830.647?
-6830.647
Product of 4750 and 0.028021.
133.09975
Multiply -110691 and 545.
-60326595
0.7*-1746.8077
-1222.76539
What is -499177 times -736?
367394272
What is 0.2 times 257964490?
51592898
Calculate -69*-2330874.
160830306
19 * -20549524
-390440956
Work out -0.5 * 284242359.
-142121179.5
Calculate 4568*-0.217.
-991.256
15514*36111
560226054
Product of -0.0065 and 189.285.
-1.2303525
421847 * -0.685
-288965.195
190*-4.138
-786.22
What is the product of 248313 and -0.87?
-216032.31
Calculate 6034*-336.
-2027424
-5856351 times 1
-5856351
Product of 0.174 and -2072.
-360.528
Multiply -19900297 and 0.07.
-1393020.79
Calculate -7*6472.1.
-45304.7
Calculate 2*-37254.3.
-74508.6
Multiply -61.4047 and -26.
1596.5222
Multiply 0.79454 and -0.03392.
-0.0269507968
What is 65.29 times -3115?
-203378.35
Multiply -0.005 and 6265.
-31.325
-51995.412*-0.5
25997.706
Multiply 3214 and -67.8.
-217909.2
-75301*4777
-359712877
697077415*0.4
278830966
Product of 17237685 and 77.
1327301745
1686830253 times -5
-8434151265
Multiply -0.3108 and 78132.
-24283.4256
-161.8261 * -0.4
64.73044
Work out 1.2356 * 1.002.
1.2380712
0.12123 times -0.748
-0.09068004
What is -0.4 times -58449522?
23379808.8
Work out -5220 * -974.6.
5087412
Multiply -1362346 and -893.
1216574978
-18.6 times -76830
1429038
What is 184791.83 times 0.5?
92395.915
What is -35 times 109427?
-3829945
282 times -398.423
-112355.286
Multiply -0.03528369 and -8.5.
0.299911365
Product of -121 and 207719.
-25133999
Calculate 73.6898*0.18.
13.264164
Product of 372.136 and -191.
-71077.976
1*-726571.86
-726571.86
0.16 times 1774.84
283.9744
-613769307 times 5
-3068846535
Product of 61 and -42822.
-2612142
Multiply -3.807 and -4668.9.
17774.5023
-1150 * 143711
-165267650
Work out 4 * -0.141275062.
-0.565100248
What is the product of 6 and -8064.55?
-48387.3
Calculate -449.52*-0.5.
224.76
Calculate 0.5*481716.9.
240858.45
Work out 63130.3 * 205.9.
12998528.77
Product of 1124 and -10.45.
-11745.8
Calculate 17.7043*0.0752.
1.33136336
What is the product of 4097884 and -5?
-20489420
-0.56*-19837766
11109148.96
Product of 3 and 1.866824.
5.600472
What is the product of -0.08 and 1796532?
-143722.56
-49 times 233.3698
-11435.1202
Product of 3162.72 and 21.
66417.12
Work out 1 * -363348.
-363348
What is -46753.7 times -2?
93507.4
-226275 * -0.75
169706.25
-0.06147 * -79
4.85613
-2.188 * -466
1019.608
-0.19 times -1.569487
0.29820253
What is the product of -0.045 and -317180?
14273.1
Multiply 306.8 and -39156.
-12013060.8
0.094701 times 187.04
17.71287504
10 * 20656.2
206562
-0.376 * 0.040728
-0.015313728
Multiply -0.5 and 1000291.78.
-500145.89
What is the product of 0.1697 and -1749?
-296.8053
Product of -0.3 and -2.285392.
0.6856176
What is 0.027 times -7901?
-213.327
Product of 23884221 and -0.2.
-4776844.2
What is the product of 0.1 and 86865736?
8686573.6
What is the product of 14364856 and 0.17?
2442025.52
What is -0.307 times 2368966?
-727272.562
-3147739 * -3
9443217
Work out 661 * -89.581.
-59213.041
Product of 3.3152417 and -10.
-33.152417
749.6 * -21.5
-16116.4
2*-11.3714712
-22.7429424
Product of 6.883 and 404.
2780.732
-5 * -166714843
833574215
What is 104.86279 times -71?
-7445.25809
-29.3 times -0.04301
1.260193
3.7 times 1280.349
4737.2913
Work out 171384 * -41.
-7026744
Product of 334783 and 505.
169065415
83 * 0.088073
7.310059
-3.2 * -1673005
5353616
Work out 3.14 * -401.
-1259.14
-6.033043*0.2
-1.2066086
10*1341.1104
13411.104
What is the product of 91.2 and -0.003278?
-0.2989536
432*-31674
-13683168
Product of 541049.7 and 45.
24347236.5
2*12.489146
24.978292
-0.2 * -101604795
20320959
25038*-102
-2553876
Multiply -22.5956 and -98.
2214.3688
Calculate -0.00791*-16059.
127.02669
20.495 * 3847
78844.265
Multiply 15.9 and -0.2.
-3.18
-25230*-2292.5
57839775
Multiply 1 and -21744.
-21744
Product of 351.03011 and -3.
-1053.09033
-1.60388 times 823
-1319.99324
Work out -364 * -988491.
359810724
210 times 546358
114735180
Product of -16 and 14418.
-230688
Product of -16 and 26402960.
-422447360
Product of -0.299678 and 0.323.
-0.096795994
-0.3064 times -10.92
3.345888
31.19 * -2.526
-78.78594
-0.14 * -1272826
178195.64
15653769*-9
-140883921
Product of -1.8361 and 2.118.
-3.8888598
Multiply 2.31991 and -36.
-83.51676
Calculate -1.8*19.252.
-34.6536
Calculate 38.2*-0.033136.
-1.2657952
Product of 1592302 and 186.
296168172
-127788.28 times 0.3
-38336.484
1822.2653*-0.2
-364.45306
Multiply -951657 and -34.
32356338
Calculate -0.1*-967752.
96775.2
What is the product of 1.054584 and -10?
-10.54584
Work out -34754386 * 3.
-104263158
Product of -124 and -8.5043.
1054.5332
2.06 * 28316
58330.96
What is the product of -2344432 and 7?
-16411024
What is the product of 0.305 and -484680?
-147827.4
What is the product of 37 and 203600?
7533200
Multiply -0.18 and -0.22334774.
0.0402025932
Product of 0.9 and 744.7.
670.23
-1.5 times -6091.39
9137.085
Multiply -0.0523 and -26512.
1386.5776
What is -86326.7 times 11?
-949593.7
Work out -67 * 167653.
-11232751
What is the product of 0.08 and 183580?
14686.4
Calculate 1732486*-0.008.
-13859.888
Multiply -0.5 and -15.108486.
7.554243
What is the product of 1.563 and 4728?
7389.864
Calculate 0.5*-6626907.
-3313453.5
Multiply 76.42434 and -0.03.
-2.2927302
Multiply 15564 and -176.
-2739264
What is the product of 68596.1 and -297?
-20373041.7
-6665*-61
406565
-0.11958931*17
-2.03301827
0.41804*-2.1
-0.877884
What is 22 times -1.2681262?
-27.8987764
0 * 3542659
0
What is the product of 1.72 and 648.27?
1115.0244
Multiply -133705 and -0.557.
74473.685
Work out 70429677 * -8.
-563437416
Product of -2 and -447695.
895390
-10*0.313464
-3.13464
Multiply -4 and -387.5085.
1550.034
-11469 * 2672
-30645168
What is the product of 3523.17 and 325?
1145030.25
Calculate 11*-158823.911.
-1747063.021
Work out -110958.56 * 0.4.
-44383.424
Calculate -656*137205.
-90006480
-55.77 * -18038
1005979.26
Multiply 7440739 and 0.2.
1488147.8
What is -5780 times -2.208?
12762.24
Calculate -58040*1.57.
-91122.8
Work out 431025.16 * 4.
1724100.64
1910798 * 0.3
573239.4
Multiply 0.8911 and -881.69.
-785.673959
0.2 times -401392.48
-80278.496
What is -0.235 times -46.3185?
10.8848475
9186.292 times -0.5
-4593.146
Work out 1.03554 * -4.
-4.14216
What is the product of -0.3 and -17045383?
5113614.9
Calculate -1.16*-0.23594.
0.2736904
-17.50506 * -0.1
1.750506
What is the product of -0.1 and -5250312?
525031.2
Product of 0.002 and 830172.
1660.344
Work out 0.2 * 127925109.
25585021.8
Multiply -85.307811 and 0.2.
-17.0615622
What is the product of 0.8 and -0.193904?
-0.1551232
Multiply -0.001 and 53.3304.
-0.0533304
Product of 2.9252 and 7021.
20537.8292
What is the product of -43.3291 and -9?
389.9619
Calculate -17*-11126018.
189142306
What is the product of 6317.6 and 95?
600172
Work out -16073423 * 0.04.
-642936.92
-3740819*-0.2
748163.8
Product of 17904387 and 0.3.
5371316.1
-79005 * 3602
-284576010
What is 2843 times 40615?
115468445
Prod
|
{
"pile_set_name": "DM Mathematics"
}
|
ve -245*z = -x - 249*z - 2, -8 = -3*x + 2*z for x.
2
Solve -2*c - 34 = -4*s, 601 = 3*s + c + 593 for s.
5
Solve 2*k - 3*j = 5, -3*k - 120*j = -121*j - 11 for k.
4
Solve -240*s = -236*s + m - 14, -5*s = -m - 31 for s.
5
Solve 2*z - 2*d = 4, 29 = -3*z - 23*d + 19*d for z.
-3
Solve 5*a - 1 = -j, -5*a = 2*j + 8581 - 8568 for j.
-14
Solve 2*v = 2*h + 6, 5*v - 196 + 185 = 4*h for h.
-4
Solve 3*q + 271 = 5*j + 138 + 137, -2*q = 4*j - 32 for q.
8
Solve u + 31 = 3*d + 41, -3*u + 39 = -12*d for u.
1
Solve 5*l + f = -18, 54*l - 51*l + 20 = 4*f for l.
-4
Solve 0 = 48*u + 288, 5*c + 14 = 243*u - 242*u for c.
-4
Solve -4*k = 3*c - 293 + 307, -5*k + 2*c = 29 for k.
-5
Solve -23*i = l - 24*i + 5, -10 = -5*l - 2*i for l.
0
Solve 22*k - 41*k = -21*k - 8, 4*c = 2*k - 4 for c.
-3
Solve o + 507*l - 9 = 511*l, 2*o = -2*l - 2 for o.
1
Solve 39 = 5*r + 2*i, -3*i + 165 = 3*r + 138 for r.
7
Solve -5*r + 957*l - 10 = 958*l, -6*r - 2*l = 12 for r.
-2
Solve 0 = p + 4*n - 9, 0 = 22*p - 26*p + 5*n - 27 for p.
-3
Solve -3*i - 10 = 4*k, 7*i - 50*k = -48*k - 12 for i.
-2
Solve 124 = -3*m - s + 120, 0 = 4*m + 4*s for m.
-2
Solve -4*k + r + 34 = 0, 5*k - 1002 + 970 = -4*r for k.
8
Solve -2*p - 5*o = 3*p, 0 = p + 3*p - 7*o - 22 for p.
2
Solve 4*h + 630*j - 14 = 632*j, -j = -5*h + 25 for h.
6
Solve 33670*p + 5*z + 37 = 33673*p, 0 = 5*p + 5*z + 5 for p.
4
Solve p + d = -2*d + 17, 105 = -4*p - 10*d + 163 for p.
2
Solve -3*x = 2*t - 15, 5*t - 4*x + 9*x - 35 = 0 for t.
6
Solve 8*h + 5*i - 11 = -26, -3*h + 2*i - 25 = 0 for h.
-5
Solve 0 = 5*x + 4*i - 24, -4*x + 2*x - 3*i = -11 for x.
4
Solve 0 = -3*f + 4*z - 23, -24*f + 29*f = -2*z - 21 for f.
-5
Solve 3*r = 3*z + 12, 3*z - 593*r + 2 = -592*r for z.
1
Solve 4*o - 5*u - 4 = 0, 575*u = 4*o + 578*u + 28 for o.
-4
Solve 0 = 5*d + 65, 11*s + d - 622 + 668 = 0 for s.
-3
Solve -3*r = 3*l + 36, -4*r - 44 = -1665*l + 1668*l for r.
-8
Solve 3*w = 3*y - 36, 7 - 37 = 6*w for y.
7
Solve 198*f = 195*f - 3*b, 4*f = 3*b + 35 for f.
5
Solve -q = 398*d - 402*d - 30, -3*d = q + 26 for q.
-2
Solve 3*j + 2*b - 15 = 0, 8*j + 56*b = 58*b + 40 for j.
5
Solve 4*q + 3*s + 259 = 282, 2*q = -5*s + 43 for q.
-1
Solve 3*x = y + 11, x - 1489*y + 1490*y = 5 for x.
4
Solve -26*m + 72 = 3*c, -4*c + 6332 = 4*m + 6328 for c.
-2
Solve -42*d + 47*d - 28 = -f, 2*f + 19 = 5*d for d.
5
Solve -496*k = -f - 497*k + 4, -5*k + 27 = -2*f for f.
-1
Solve -5*n + w = -17, -2*n = -5*w + 1052 - 1091 for n.
2
Solve 2*f = 2*p + 2, 5*f + 1406 = 1411 for p.
0
Solve 24 = -2*t + 5*k, -66 = 6*t - 3*k - 18 for t.
-7
Solve 34 = -2*g - a, 18326*g - 18321*g + 55 = 5*a for g.
-15
Solve -2*z - t - 35 = 5*z, 0 = 5*t + 37 - 2 for z.
-4
Solve -6*a = t + 58, -2*a + 5952 - 5990 = 5*t for t.
-4
Solve 4*h + 452 = -m + 469, 2*m - 5*h + 18 = 0 for m.
1
Solve -27 = 3*p - 3*d, 4131*d + 24 = 4135*d for p.
-3
Solve -88*u + 3*t = -87*u + 20, -5*u - t - 4 = 0 for u.
-2
Solve -30 = -4*r + 3*j - 29, -76*r - 5*j + 225 = -26*r for r.
4
Solve -5*f - 154 + 112 = -2*n, -3*n - 5*f + 63 = 0 for n.
21
Solve 4*n + 0*h = -h - 10, 0 = 3*n + 4*h + 14 for n.
-2
Solve 20*y = 2*w - 102, -2*w + 1892*y + 27 = 1887*y for w.
1
Solve -3*a + 5*t - 22 = 0, -6*a - 2*t - 8 = -3*a for a.
-4
Solve 0 = 3*k - 12, 0 = 58*h - 63*h + k + 51 for h.
11
Solve 3*j + h = 8, -2*h = 5432*j - 5428*j - 12 for j.
2
Solve -4*t = 5*k + 11, -6 = 142*k - 144*k + t for k.
1
Solve -4*t = 4*o - 32, 4*o + 255*t = 250*t + 35 for o.
5
Solve 119*l - 121*l = 2*z - 10, 0 = 2*l - 4*z - 10 for l.
5
Solve 3*n = -13*i + 8*i - 37, 17 = n - 2*i for n.
1
Solve 5*m + 5*g + 10 = 0, 0 = 3*m + 7*g + 4*g + 38 for m.
2
Solve -5*w - 5*y = -8*y + 3, -4*y + 4 = -w for w.
0
Solve t + 164 = 173, 3*t = 3*f + 15 for f.
4
Solve -5*u = 4*v - 13, 5*u + 896*v - 897*v - 3 = 0 for u.
1
Solve 0 = -3*w - 3*l + 21, -1468*l = w - 1469*l + 1 for w.
3
Solve -5*m = 390*v - 392*v, 4*m - 4*v + 12 = 0 for m.
2
Solve 38*k - 42*k + 16 = -2*w, 13 = 3*k - 2*w for k.
3
Solve -8005*f + 22 = -8010*f + l, -2*f + 5*l = -5 for f.
-5
Solve -5*r = 0, -8*v - r + 7 = -3*v - 8 for v.
3
Solve -2*l - 4*b - 2 = 0, -144*b + 6 = -6*l - 146*b for l.
-1
Solve -t = 2*v - 7, 547 = 2*v + 2*t + 537 for v.
2
Solve -23 = 5*z + 39*o - 36*o, 5*z - 2*o + 43 = 0 for z.
-7
Solve 87*k = 2*u + 82*k + 34, 5 = 5*u + 10*k for u.
-7
Solve 0 = -5*i - 5*f + 5, 19 = -i + 5*f + 20 for i.
1
Solve 5*z = 5*i - 140, -4148*i - z - 44 = -4153*i for i.
4
Solve -5806*w = -4*z - 5803*w - 2, 4*z - 4*w = 0 for z.
-2
Solve 317*a - 2*c + 14 = 318*a, -4*a + 36 = 4*c for a.
4
Solve -5*a + b = -33, 2*a - 412*b + 409*b = 8 for a.
7
Solve -i - 18*k + 77 = 0, -i = 51*k - 50*k - 9 for i.
5
Solve -5*q + 48 = 2*p, -104*q + 103*q + 32 = 2*p for q.
4
Solve -2*c + 9*k - 5*k = -28, 11*k + 55 = 0 for c.
4
Solve 3*c = 5*t, 5*c + 4*t + 147 = 184 for c.
5
Solve -n = -3*u + 6, -3*n + 7*u = 3*u + 18 for n.
-6
Solve 2*o - 10 + 20 = o + 4*m, 32*m - 64 = 0 for o.
-2
Solve -3*u - 2*n - 6 - 8 = 0, 0 = -3*u + 5*n + 14 for u.
-2
Solve -863*x + r - 11 = -861*x, 5*x + 4*r = -34 for x.
-6
Solve 3*u + 23 = -4*z, -5*u - 5*z - 5 = -6*u for u.
-5
Solve 0 = -43*a + 39*a + 2*s + 26, -4*s = a + 16 for a.
4
Solve -153*v + 156*v - 15 = 0, g = 4*v - 16 for g.
4
Solve p + 4*f - 21 = 0, -2*p + 3*f = -7*p + 20 for p.
1
Solve -2*m - 3*j = 11, -5341*j + 5344*j = 5*m + 17 for m.
-4
Solve -r = 4*f + 55, -2*r - 70*f + 70 = -74*f for r.
5
Solve 6*z = -54*y + 49*y + 20, 0 = -z + 5 for y.
-2
Solve -4*c - 283 + 257 = 2*j, -2*j = -c + 6 for c.
-4
Solve -2*m = o - 3, 129*m - 128*m + 12 = 4*o for o.
3
Solve 616*w = 620*w - a - 4, 4*w - 4*a + 23 = w for w.
3
Solve 2*x = -z - 310 + 306, 5*x - 9*z - 59 = 0 for x.
1
Solve n + 4423*r - 3 = 4420*r, -5*r + 7 = n for n.
-3
Solve 5*l + 39 = 2*j, -8*j = -2*j + 5*l - 97 for j.
17
Solve 2*x + 2*t - 8 = 0, 129*x + 9 = 130*x - 4*t for x.
5
Solve 0 = 6*f - 4*s + 18, -4716*f + 4712*f + 3*s - 14 = 0 for f.
1
Solve -3*n - 47 = 4*g - 27, -4*n + 3*g - 10 = 0 for n.
-4
Solve 2*y + 4*c + 8 = 0, -4*y - c - 23 = -28 for y.
2
Solve -b - 2*i - 48 = -30, 6*b + 3*i = -9 for b.
4
Solve -91*u - 5*x - 35 = -95*u, -4*u + 3*x + 29 = 0 for u.
5
Solve 14 = 6*x - i, 0 = 2*i + 4969 - 4989 for x.
4
Solve -20*f = -18*f - 5*m, 0 = 4*f + 2*m + 2*m - 8*m for f.
0
Solve 163*i - 158*i = -9*v - 47, i + 19 = -5*v for i.
-4
Solve -6*h + 5 = -1, -3*b + 2*h + 7 = 0 for b.
3
Solve 1254*z + 56 = 4*g + 1249*z, -7*g = -z - 67 for g.
9
Solve 5*u + 21 = -z, 10*z = 4*u + 12*z + 18 for u.
-4
Solve 4*b + 5*a = 35, 1319*a - 1324*a = -15 for b.
5
Solve 14 = 5*u - o, -221 = -5*u - o - 225 for u.
1
Solve -4*w = -2*d - 14, 5*d - 45*w = -42*w - 14 for d.
-1
Solve 3*d - 18 = -9*j, 0 = j - d - 268 + 270 for j.
1
Solve l + 6 = -47*s + 45*s, 9*s + 12 = 3*l for s.
-2
Solve 37*s - 72*s = 4*b - 38*s - 14, 2*s + 17 = -5*b for b.
-1
Solve 5*w + 104 = -3*y + 75, 2*w - 10 = 0 for y.
-18
Solve -5*l + 30 - 60 = -5*c, -4 = -l for c.
10
Solve 3*t = 2169*k - 2172*k - 54, -4*k = t + 27 for k.
-3
Solve -4*h + 2*c - 7624 = -7608, -5*c - 2 = -3*h for h.
-6
Solve -5*v - 203*p + 208*p + 30 = 0, -29 = v + 4*p for v.
-1
Solve -4*a - 3*l + 14 = 0, -63*a - l - 22 = -67*a for a.
5
Solve 3*m - 19 = 4*b, -24 + 44 = -4*b + 4*m for b.
-4
Solve -5*c + 3*r = -85, -4*r - 47 = -4*c + 29 for c.
14
Solve 2*t + 10 = -14*u, -5*u - 7*t = -3*t + 43 for u.
1
Solve -2*t + 4*x = -8, -30 = -2*t + 11*x - 8 for t.
0
Solve 3*u + 12 = -31*k + 33*k, 7*k = u + 4 for k.
0
Solve k - 4 = -4*f, 233 - 237 = -5*k - 4*f for k.
0
Solve -2*s = t - 15, 860*t + s = 859*t + 9 for t.
3
Solve -4*s + 60 = 2*k, 4*s - 108 - 24 = -5*k for s.
3
Solve 0 = -b + 2*i + 16, -5*b - 56*i + 60*i + 50 = 0 for b.
6
Solve 0 = x + h + 3, -19*x + 18*x = 5*h - 9 for x.
-6
Solve 0 = -736*l + 737*l - 3*p + 16, 5*p - 32 = 3*l for l.
-4
Solve 5*v - 58 = 14*o - 16*o, -4*o - 2*v = -20 for o.
-1
Solve 3*f - 4*w - 37 = 0, -5*f + 36 = -85*w + 82*w for f.
3
Solve -3*s + q = 5, -2 = 3*s - 1168*q + 1164*q for s.
-2
Solve 0 = 4*z - 9*z, -54*c + 58*c - 3*z = -4 for c.
-1
Solve 4*o - 15 = j, 14 - 9 = 5*j - 4*o for j.
5
Solve 0 = -4*a + 44, -22*a + 1 = -2*i - 21*a for i.
5
Solve f = 3*a - 26, 2823*a + 6*f = 2824*a - 71 for a.
5
Solve 2*s - 5*v - 17 = 0, -7*v = -s - 16 + 38 for s.
1
Solve -58*c + 47 = -f - 54*c, -2*f + 27 = 3*c for f.
-3
Solve -2 = y - 3*g + 7 - 4, 0 = -5*y + g + 3 for y.
1
Solve 3*n + 7 = 8*m, 20*n +
|
{
"pile_set_name": "DM Mathematics"
}
|
ivative of -301*b**4 + 9109*b**2 - 9043*b**2 + 1527*b**4 wrt b.
29424*b
Let c(r) = -r - 11. Let d be c(-13). Suppose z - 3*i - 1 = 2*z, -d*i = 2*z - 6. Find the second derivative of 14*k**z - 3*k - 16*k + 6*k wrt k.
280*k**3
What is the third derivative of 1385*u**5 - 100*u - 18154 + 5*u**2 + 2*u**4 + 18154 wrt u?
83100*u**2 + 48*u
Let f(y) be the second derivative of y**4/12 - 5*y**3/6 + 31*y**2/2 + 25*y. Let c be f(5). What is the second derivative of 15*z**3 + 4657 - 4657 - c*z wrt z?
90*z
Let x(q) be the first derivative of -q**8/210 + 13*q**4/24 + 55*q**3/3 - q**2 - 78. Let i(d) be the third derivative of x(d). Differentiate i(n) wrt n.
-32*n**3
Let y(o) = -33*o + 3. Let q be y(-3). Let z = -3 + q. Differentiate 14 - 21*w**4 + z*w**2 - 99*w**2 wrt w.
-84*w**3
Let x(h) be the second derivative of 7/2*h**3 - 173*h + 1/10*h**5 + 0 + 45*h**2 + 0*h**4. What is the derivative of x(q) wrt q?
6*q**2 + 21
Let p(s) = -1188*s - 144. Let l = -68 - -96. Let w(m) = -216*m - 26. Let n(g) = l*w(g) - 5*p(g). Differentiate n(k) wrt k.
-108
Let v(i) be the third derivative of 7709*i**4/24 + 5071*i**3/6 + 6119*i**2. What is the first derivative of v(t) wrt t?
7709
Let r(l) be the third derivative of l**7/70 + 23*l**6/8 + l**5/30 + 311*l**4/24 + l**3/2 - 252*l**2 - 12. Find the third derivative of r(d) wrt d.
72*d + 2070
Let z(f) = 26522*f**2 - 595*f + 25493. Let j(k) = -8841*k**2 + 210*k - 8498. Let h(c) = -17*j(c) - 6*z(c). What is the derivative of h(o) wrt o?
-17670*o
Let w(r) = -r - 9. Let h be w(-13). Differentiate -46*g**h + 4 - 39 + 31*g**4 wrt g.
-60*g**3
Let i(g) = 6*g**2 - 1. Let n be i(-1). Suppose 4*q - n*q = -2*p - 14, 16 = -4*p. Differentiate 21*b**4 - 25 + 51 - q with respect to b.
84*b**3
What is the third derivative of -2755*o**2 + 2499*o**2 + 937*o**3 - 3 + o + 7 - 3 + 0 wrt o?
5622
Let j = -258 + 400. Let c = j + -95. Find the second derivative of 51*r**3 - c*r**3 - r + 21*r**3 wrt r.
150*r
Let b(f) = 2*f**3 + 11*f**2 + 3*f + 15. Let v be b(-5). Find the second derivative of 16*d**4 + v*d**4 - 2 + 3 - 6*d + 13*d**4 wrt d.
648*d**2
Suppose 3 = 3*a, 2*h - 3*a - 2*a - 10761 = 0. Differentiate -72 + 5369*s**4 - h*s**4 - 72 - 6*s**3 wrt s.
-56*s**3 - 18*s**2
Let y be (-27)/(-15) - 2/30*-3. Suppose 4*l - 6 = 46. Differentiate 3*q + l - y*q**3 - 2*q - q wrt q.
-6*q**2
Find the first derivative of -756*p**4 + 3258 - 1228 - 1114*p**4 wrt p.
-7480*p**3
Let h(k) = 303*k**3 - 4*k**2 + 3*k + 1070. Let v(b) = 908*b**3 - 11*b**2 + 9*b + 3216. Let y(t) = -11*h(t) + 4*v(t). What is the first derivative of y(j) wrt j?
897*j**2 + 3
Let p(c) = -741*c + 206. Let h(y) = 2999*y - 825. Let l(s) = -2*h(s) - 9*p(s). Differentiate l(q) with respect to q.
671
What is the first derivative of -1512 + 198*b**3 - 5*b**2 - 18*b**2 - 371*b**3 + 100 + 179*b**3 wrt b?
18*b**2 - 46*b
Let r(u) be the first derivative of 4804*u**5/5 + 3067*u**3/3 - 2507. Find the third derivative of r(a) wrt a.
115296*a
Suppose 0 = -8*y + 6*y - 3*r + 20, -r - 12 = -4*y. What is the second derivative of 95*a + 22*a**4 - 3*a**4 - 3*a**y - 15 - 96*a wrt a?
192*a**2
Let r(a) be the second derivative of a**6/2 - 26*a**5/5 + a**3/3 + 1537*a**2/2 + 2224*a. Find the second derivative of r(o) wrt o.
180*o**2 - 624*o
Let x(t) be the first derivative of -3091*t**2/2 + 1970*t - 3043. Differentiate x(i) with respect to i.
-3091
Let y(d) be the first derivative of 1425*d**2 + 3212*d - 2559. What is the derivative of y(f) wrt f?
2850
What is the third derivative of 260*r**3 + 8*r + 125*r**2 - 9*r - 209 - 121*r**2 + r wrt r?
1560
Let u(i) be the third derivative of -2519*i**5/12 - 3473*i**3/3 - 4*i**2 + 12*i - 1. Differentiate u(c) with respect to c.
-25190*c
Find the third derivative of 30 + 20*r**6 + 7*r**6 - 58 + 32*r**6 - 3*r**4 - 56 - 2*r**2 wrt r.
7080*r**3 - 72*r
Let g(w) = -896*w**3 - 146*w**2 + 15*w - 5. Let m(p) = -p**3 - 3*p + 1. Let h(s) = -g(s) - 5*m(s). Find the third derivative of h(r) wrt r.
5406
Suppose -42 = -3*r - 4*t + 35, -5*t - 82 = -2*r. Find the second derivative of 18*f**2 + 12*f**2 - 12*f**2 + r*f**2 + 51*f wrt f.
98
Suppose 0 = 4*t + 4*c - 272, t - 4*c + c = 60. Suppose 4*f = t + 78. Find the second derivative of 13*l - f*l + 13*l - 3*l**5 wrt l.
-60*l**3
Let g = 131 + -129. What is the second derivative of 23*o - 40*o**3 - 37 + g*o**2 + o + 38 + 3*o + 9*o wrt o?
-240*o + 4
Let i(u) be the first derivative of -5647*u**3/3 + 578*u**2 - 2*u + 4356. What is the second derivative of i(k) wrt k?
-11294
Suppose 0 = -a - 3*a + 5*p + 185, 4*a + 4*p - 176 = 0. Let v be 5*(4/6 - (-6)/a). What is the third derivative of -2*y**2 - 9*y**4 - 9*y**4 - 3*y**v wrt y?
-504*y
Let g(d) be the second derivative of 7*d**5/20 + d**4/12 - 139*d**3/6 - 1207*d**2 + 4799*d. What is the first derivative of g(m) wrt m?
21*m**2 + 2*m - 139
Let l(o) = 1133*o**6 - o**5 - o**4 - o**3 + 829*o**2. Let h(s) = -s**5 - s**4 - s**3 - s**2. Let i(t) = h(t) - l(t). Find the third derivative of i(g) wrt g.
-135960*g**3
Let m = -45 + 53. What is the first derivative of 2*l**2 - 4*l**2 + m + 97*l - 10 + 4*l**2 - 49 wrt l?
4*l + 97
Let z(b) be the first derivative of 907*b**6/6 + 2*b**3/3 + 611*b**2 - 1449. What is the second derivative of z(w) wrt w?
18140*w**3 + 4
Let n(t) be the third derivative of -92*t**7/35 - t**6/60 + t**5/30 - 13*t**4/4 - 6*t**2 - 177*t. Find the third derivative of n(j) wrt j.
-13248*j - 12
Suppose 8*j = 60 - 36. Find the first derivative of 4*s**j + 127 - 11*s**2 - 33*s**4 - 3*s**3 - 3*s**4 + 11*s**2 wrt s.
-144*s**3 + 3*s**2
What is the third derivative of -75*s**2 - 466*s**2 + 433*s**5 - 67*s**2 + 1110*s**5 - 81*s**2 wrt s?
92580*s**2
Suppose -15*g + 136 = 91. Let a(b) be the first derivative of 7/2*b**4 - 14*b + 0*b**g + 0*b**2 + 15. Differentiate a(y) wrt y.
42*y**2
Let v(z) be the second derivative of -1163*z**8/56 - z**4/12 - 65*z**3/3 + 1801*z. Find the third derivative of v(y) wrt y.
-139560*y**3
What is the first derivative of -17*q**3 - 103*q**3 + 47*q**3 - 80*q**3 - 23*q**3 + q**4 - 1325 wrt q?
4*q**3 - 528*q**2
Let l(p) be the second derivative of 583*p**4/3 - 119*p**3/2 - p**2/2 + 2317*p. Find the second derivative of l(f) wrt f.
4664
Find the third derivative of 219069*v**5 - 868*v**2 - 3706*v**2 - 216354*v**5 wrt v.
162900*v**2
Let y be (-6)/10 + (25988/1095 - (-4)/(-30)). Let b(j) be the first derivative of -5 - 22/3*j**3 - y*j + 0*j**2. What is the derivative of b(a) wrt a?
-44*a
Let h = -85 + 185. Suppose 3*g - 5*m - h = -2*g, -3*g + 62 = -m. What is the derivative of -28*v + g*v + 21*v - 9 wrt v?
14
Let q = -1/4015 + 36139/16060. Let u(x) be the first derivative of 6 + 0*x**3 + 13/2*x**2 + q*x**4 + 0*x. What is the second derivative of u(j) wrt j?
54*j
Let i = 2039 - 2039. Let h(f) be the second derivative of 1/3*f**6 + 0*f**5 + i*f**4 + 0*f**3 - f - 2*f**2 + 0. What is the first derivative of h(t) wrt t?
40*t**3
Let b(g) = 11*g**3 + 2*g - 4. Let u(a) = -7652*a**3 - 10*a**2 - 8*a + 104. Let t(r) = -6*b(r) - u(r). Find the third derivative of t(k) wrt k.
45516
Let q(x) be the second derivative of 4281*x**5/20 + 1509*x**2 - 2483*x + 1. Find the first derivative of q(g) wrt g.
12843*g**2
Let z(y) be the first derivative of -2579*y**4/4 + 203*y**2/2 + 3*y - 2793. Find the second derivative of z(k) wrt k.
-15474*k
Let y(g) be the first derivative of g**3 - 780*g**2 - 7224*g + 819. What is the first derivative of y(q) wrt q?
6*q - 1560
Let a(q) be the third derivative of 18*q**2 - 37/2*q**3 + 4 + 0*q + 0*q**4 - 1/30*q**5 + 17/40*q**6. What is the third derivative of a(y) wrt y?
306
Let t(r) be the first derivative of r + 4 - r**3 + 46*r**2 + 5/4*r**4. Find the second derivative of t(a) wrt a.
30*a - 6
Let j(f) = 49*f**3 + 46*f**2 - 14. Let u(w) = -w**3 + 2. Let m = -279 + 281. Let a(i) = m*j(i) + 14*u(i). What is the third derivative of a(d) wrt d?
504
Let n(r) be the second derivative of -11/3*r**3 + 167*r - 61/2*r**2 - 1/4*r**4 + 0. Differentiate n(j) with respect to j.
-6*j - 22
Let k(i) = i + 4. Let g be k(-1). Find the third derivative of 1118*m**g + 129*m**2 + m**6 - 1093*m**3 - 2*m**6 wrt m.
-120*m**3 + 150
Find the second derivative of 2018*u**2 + 548*u + 469*u**2 - 375*u - 599*u wrt u.
4974
Find the first derivative of 446 + 43 + 1750 - 376*b + 376*b - 838*b**2 wrt b.
-1676*
|
{
"pile_set_name": "DM Mathematics"
}
|
rivative of 112*m**2 + 40345*m + 13384469?
224*m + 40345
Find the third derivative of -2049*k**3*r**3 - 6*k**3*r**2 + 37*k**3 - 51*k**2*r**2 - 26*k**2 + 21*k*r**3 + 280*r**3 wrt k.
-12294*r**3 - 36*r**2 + 222
What is the second derivative of -33*y**4 - 7*y**3 - 2966*y**2 - 839101792*y?
-396*y**2 - 42*y - 5932
Find the first derivative of 2*h**3 + 14013*h**2 + 6994642 wrt h.
6*h**2 + 28026*h
What is the derivative of 3203575*n - 5787693?
3203575
Find the first derivative of -1582*u**4 + 4*u**3 - 86*u + 7018199 wrt u.
-6328*u**3 + 12*u**2 - 86
What is the third derivative of -2*o**5 - 58*o**4 + 469*o**3 + 6113061*o**2?
-120*o**2 - 1392*o + 2814
What is the third derivative of -124*f*v**4 - 50*f*v**2 + 4*f*v - 4*v**4 + 22918*v**3 - 2*v**2 - 12*v + 2 wrt v?
-2976*f*v - 96*v + 137508
What is the third derivative of 53*i**4*y + 2*i**4 + 3047*i**3*y - 2*i**3 + 5119*i**2 - 1268*y wrt i?
1272*i*y + 48*i + 18282*y - 12
Differentiate -6101138*g**2*s**3 - 171*g**2 - 8*g - s**3 - 8975 wrt s.
-18303414*g**2*s**2 - 3*s**2
Find the third derivative of 7907300*c**5 + 7461*c**2 + 2*c + 2.
474438000*c**2
Find the first derivative of 22*g**2*t**2*u + 3*g**2*t + 287029*g**2*u + 2*g**2 - 788664*g*t**2 wrt u.
22*g**2*t**2 + 287029*g**2
What is the third derivative of 209436622*o**3 - 8*o**2 - 3*o - 1433676 wrt o?
1256619732
Find the second derivative of 151311893*d**2*s**2 - 8*d**2*s + 56*d**2 - 27879*d wrt s.
302623786*d**2
What is the derivative of -6665240*y**4 - 3953227?
-26660960*y**3
Differentiate 137185704*h*w**3 - 9536*w**3 + w**2 - 115*w + 8 wrt h.
137185704*w**3
What is the second derivative of -19*j**4 - 107920*j**3 + 2*j**2 - 18538216*j wrt j?
-228*j**2 - 647520*j + 4
Find the third derivative of 3181*d**4 + 1111*d**3 - 16901*d**2 + 16.
76344*d + 6666
Find the second derivative of 1929*s**4 - s**3 - 132*s**2 - 28147*s - 80.
23148*s**2 - 6*s - 264
What is the second derivative of 25370926*q**4 - 16282182*q + 1 wrt q?
304451112*q**2
What is the derivative of -2*p**3*r - 3514510*p**2*r**2 + 496*r**2 + 81*r + 7 wrt p?
-6*p**2*r - 7029020*p*r**2
What is the third derivative of -9093134*b**4 - b**2 + 14676879?
-218235216*b
Find the second derivative of -6513494*b**2 - 8880*b - 140.
-13026988
Find the second derivative of 4*b**3*n**2*w + 6875*b**3*n**2 + 12*b**3*n*w - 2*b**3 - 2*b**2*n - 6*b*n*w + 1160*b*w - 1389*n**2 - 14*n*w wrt n.
8*b**3*w + 13750*b**3 - 2778
What is the second derivative of -178*l**3 + 21241*l**2 + 1023*l - 5416 wrt l?
-1068*l + 42482
Find the second derivative of -23*o*r**2 - o*r + 3*o + 2*r**3 + 615730*r**2 - 13695120*r wrt r.
-46*o + 12*r + 1231460
Find the third derivative of -8139*c**6 + 327*c**4 + 12*c**2 + 193963 wrt c.
-976680*c**3 + 7848*c
Find the second derivative of -73091*h**2*x + 3277*h**2 + 3*h*x - 392*h - 21*x - 40 wrt h.
-146182*x + 6554
Find the second derivative of 15413372*u**4 - 44424*u + 102.
184960464*u**2
What is the first derivative of -1752551*s**2 + 1538910 wrt s?
-3505102*s
What is the second derivative of -4171*c**2*t**2 - 996*c**2 + 2*c*t**2 + 35*c*t - 2*t**2 + 138*t - 7 wrt c?
-8342*t**2 - 1992
What is the derivative of 955999460*h**3 - 265643533 wrt h?
2867998380*h**2
Find the third derivative of -1617522*i**6 + 78*i**3 - 616447543*i**2 wrt i.
-194102640*i**3 + 468
Find the first derivative of -j**3*s + 316011976*j**3 - 40964235*s**3 wrt s.
-j**3 - 122892705*s**2
Find the first derivative of 18*d**2*x + 376676515*d**2 + 15*d*x**2 - 14379*d*x wrt x.
18*d**2 + 30*d*x - 14379*d
What is the second derivative of -107808*v**2*z + 5*v**2 - 30662*v*z + 2*v - z + 1 wrt v?
-215616*z + 10
What is the third derivative of 10104*k**5 - 87*k**4 + 103906*k**2 - 12*k?
606240*k**2 - 2088*k
What is the second derivative of -176960006*o**5 + 176525760*o?
-3539200120*o**3
What is the second derivative of -3789*l**3*x**3 + 77332*l**2*x**3 + 117596*l*x**3 + 89*l*x**2 + 3*l wrt l?
-22734*l*x**3 + 154664*x**3
Find the third derivative of -103*o**6 - 2*o**4 - 602015*o**3 + 827676201*o**2.
-12360*o**3 - 48*o - 3612090
What is the derivative of 5782985*i*n - 3378*n - 1796 wrt i?
5782985*n
What is the second derivative of -12303124*o*p**2 - 191406*o*p + o - 2*p + 6 wrt p?
-24606248*o
Find the second derivative of 34472428*y**2 + 142569079*y.
68944856
What is the second derivative of -11*v**3 + 20937117*v**2 + 79623103*v + 3?
-66*v + 41874234
What is the third derivative of 19988*b**3*s + 1294*b**3 - 6832*b**2*s + 8*b**2 - 140*b wrt b?
119928*s + 7764
Find the second derivative of -4006972*d**2*w**3 + d**2*w**2 - 2*d*w**3 - 8*d*w**2 + 3*d*w + 597*w**2 - 27 wrt d.
-8013944*w**3 + 2*w**2
Find the second derivative of -37015004*o**2 - 5815078*o - 4 wrt o.
-74030008
What is the second derivative of -8*b*f*g**2 - b*f*g - 491*b*f + 523*b*g**2 + 19*b*g - 2*b + 55*f*g**2 - 2*g**2 + 5 wrt g?
-16*b*f + 1046*b + 110*f - 4
What is the first derivative of 151373208*w**2 - 58692575?
302746416*w
Find the first derivative of 2*p*y**2 - 3533449*p*y + 41179966*p wrt y.
4*p*y - 3533449*p
Differentiate -l*q*y**3 - 112*l*q*y**2 + l*y**3 - 261*l*y**2 - 61*l*y*z + 3*l - q*y**3*z - 14029*y**3*z - 6*y wrt z.
-61*l*y - q*y**3 - 14029*y**3
Differentiate 3052696*t - 6776174 with respect to t.
3052696
Find the second derivative of -13889138*k**2 - 10084278*k wrt k.
-27778276
What is the derivative of -3237490*g + 46118101?
-3237490
What is the first derivative of 2*v**4 - 18*v**2 - 95930*v + 486542499 wrt v?
8*v**3 - 36*v - 95930
Find the second derivative of -5*m**4*u - 206*m**3 - 65806*m**2*u - 4256*m + 20*u - 700 wrt m.
-60*m**2*u - 1236*m - 131612*u
Find the first derivative of -329*a**3*b + 27*a**3 + 39*a**2*b - 12*a**2 + a*b + a + 50*b + 45 wrt b.
-329*a**3 + 39*a**2 + a + 50
Find the third derivative of -23747861*s**3 + 2896*s**2 - 590*s wrt s.
-142487166
Find the third derivative of -3324447*g**5 + 6135413*g**2 - 2.
-199466820*g**2
Differentiate -3*c*o**2 + 1570112*c + 15480864*o**2 - 28 with respect to o.
-6*c*o + 30961728*o
What is the second derivative of -1609105*w**4 + 101*w**2 + 727*w + 60478 wrt w?
-19309260*w**2 + 202
Find the third derivative of 27131723*p**5 - 6961840*p**2 + 2*p.
1627903380*p**2
Find the third derivative of -696897685*y**3 - 92768097*y**2 - 2.
-4181386110
Find the second derivative of 51*z**4 + 591*z**3 + 142*z**2 - 8304732*z - 4.
612*z**2 + 3546*z + 284
Differentiate 2165314*d**3 + 12*d**2 - 18659435 with respect to d.
6495942*d**2 + 24*d
What is the derivative of 40230986*w**3 - 16782254 wrt w?
120692958*w**2
Find the third derivative of -816787*u**3 + 2*u**2 + 3187885*u wrt u.
-4900722
What is the third derivative of 6358886*i**3 - 1141*i**2 - 1235?
38153316
Find the third derivative of 11453473*r**3 - 2*r**2 - 1650453.
68720838
Find the third derivative of 3101865*z**4 + 9*z**3 - 86839203*z**2 wrt z.
74444760*z + 54
Find the third derivative of -1874805*d**4*k + d**4 + d**2*k + 122*d**2 - d + 31*k - 2 wrt d.
-44995320*d*k + 24*d
What is the first derivative of -125291012*i**3 - 307006264 wrt i?
-375873036*i**2
What is the third derivative of -762508*h**3 - 77*h**2 + 50833*h?
-4575048
Find the second derivative of 19132*a*n*s**2 - 7*a*n*s - 3*a*s**2*y + 2*a*s*y + 2*a*s - 2*a + 2*n*s**2 - 85 wrt s.
38264*a*n - 6*a*y + 4*n
What is the third derivative of -374*a**5*n + 124*a**4 - 9*a**3*n + 2*a**2*n - a**2 - 144366*a*n + 3*a - 4*n + 1 wrt a?
-22440*a**2*n + 2976*a - 54*n
Differentiate -2*f**2*w + 30031303*f**2 + 7627230*f*w**2 with respect to w.
-2*f**2 + 15254460*f*w
What is the third derivative of 167028*i**4 + 699*i**3 - 10056412*i**2 - 4 wrt i?
4008672*i + 4194
Differentiate 89378854*c*w**3 + 18381086*w**3 wrt c.
89378854*w**3
What is the second derivative of 276600192*s**2 - 224652774*s wrt s?
553200384
Find the second derivative of 2152774*k**3 + 123*k**2 - 496853580*k.
12916644*k + 246
Differentiate -6*b**4 + 69*b**3 + 6501*b - 81143499 with respect to b.
-24*b**3 + 207*b**2 + 6501
Differentiate 2*d**4 + 129866*d**3 + 27*d**2 + 96543132.
8*d**3 + 389598*d**2 + 54*d
Find the second derivative of 5*y**3 + 2314417*y**2 + 78513*y + 28 wrt y.
30*y + 4628834
What is the third derivative of -133826942*s**5 + 41366069*s**2 wrt s?
-8029616520*s**2
What is the third derivative of -804013581*p**4 + 778623977*p**2?
-19296325944*p
Fi
|
{
"pile_set_name": "DM Mathematics"
}
|
Let t = 20 - 4. Solve 0*l = 2*l - 4*q - t, -l - 13 = 5*q for l.
2
Suppose -4*x + 8*x - 4*m = 36, -x = 3*m + 3. Let w = -6 + x. Solve 4*v + w + 1 = -5*k, v - 11 = -5*k for v.
-4
Let r(y) be the third derivative of y**5/60 + y**4/3 + 2*y**3/3 - 3*y**2. Let n be r(-8). Solve l = f + 4*f + 21, 0 = -n*l + 2*f + 12 for l.
1
Let f(y) = 8*y - 1. Let r(m) = 17*m - 2. Let a(b) = -13*f(b) + 6*r(b). Let i be a(-3). Solve -2*z + z = 4*c - 7, 5*c = 4*z - i for c.
1
Let z be (16/4)/(-8)*-4. Solve -n = -d - z, -5*d + 2 = n - 6 for d.
1
Let m = -17 - -19. Solve o = 3*s - m*o - 3, -3*s + 15 = 3*o for s.
3
Let f = 2 + -1. Let c = f + -1. Solve 4*o + 3*w + 20 = c, -4*o - 2*w - 2*w - 20 = 0 for o.
-5
Suppose -5*x - 62 + 12 = -t, 0 = 2*x - 4*t + 38. Let m = x + 14. Suppose -m*a + 28 = 4*s, -3*a = -5*s + 2 - 4. Solve -20 = -4*v + a*i, i = 4*v - 0*i - 20 for v.
5
Let b = -4 - -8. Suppose 0*h + 5*n - 23 = -2*h, n = b*h - 13. Solve 3*m - 5*l = 13, -3*l + 5 = -h*m - m for m.
-4
Suppose n = 0, -3*n = -2*v - 2*v + 16. Suppose -3*d - 2*d + u + 13 = 0, 0 = 2*d + 3*u + 5. Solve c + d - 1 = 0, 5*m + v*c = 6 for m.
2
Let l(r) = r**3 + 6*r**2 - 8*r - 6. Let b be l(-7). Let u(v) = 2*v - 8. Let n be u(5). Solve -2*k - 16 = n*k - 2*o, -k + b = 2*o for k.
-3
Let r(k) = -3*k - 13. Let s be r(-5). Solve -3*b - 10 = -4*a, -s*b - 3 + 1 = 2*a for a.
1
Let g be (1 - 1)*2/4. Suppose -j + l + 7 = 2*l, 0 = -5*j - l + 19. Suppose -5*d = -j*s - 1, 30 - 5 = 5*s - 3*d. Solve 5*c = w - g*w - s, -8 = -2*w + 2*c for w.
3
Let h(k) = k**2 - 12*k + 23. Let u be h(10). Solve 0 = g + 5*t - 17, 0 = 5*g - u*t + 27 for g.
-3
Let t be 2 + -1 + 12/4. Solve -4*i - 20 = -t*k - 0*i, 5*i = -k + 5 for k.
5
Suppose 4*z - 20 = -0*z. Let s be ((-4)/(-10))/(2/10). Solve 4*f = -0*f + z*a - 24, -s*f + 6 = 2*a for f.
-1
Suppose -2*k + 2 = -2. Solve -q + 1 = -2*w, 5*q - k*w + 14 = q for q.
-5
Suppose 0 = 4*t + 84 - 84. Solve t = -3*l + 4*z - 14, 0 = 5*l - z + 12 for l.
-2
Let a = -2 - -3. Let j be -2 + 2*10/(-4). Let w = j - -12. Solve -t = -w*x + a, 2*x = -5*t - 0*x + 22 for t.
4
Suppose -7*r + 12*r = 0. Solve -n + 0 = -i - 1, r = 5*n - 2*i + 1 for n.
-1
Suppose 0 = 3*f + 8 + 1. Let n = 1 - 2. Let k be n + 2 + f - -7. Solve -3*o - z = -14, -12 = -k*o + z + 14 for o.
5
Let m(n) = -n**3 + 11*n**2 - 9*n + 6. Let p be m(10). Solve -2*l + 5*f + 3 = 0, 3*l - p = -2*f - 2*f for l.
4
Suppose 6 = 5*r + 4*z - 0, -5*z - 1 = 2*r. Solve -r*q + 6 = 0, 3*f = 2*f - q + 5 for f.
2
Suppose 2*t + 3*f - 44 = 0, -t + 4*f + 5 + 6 = 0. Solve 0 = -2*o - c - 4 + 3, 0 = 3*o + 5*c + t for o.
2
Let x = 28 + -8. Suppose 0*j - x = -5*j. Solve 3*n - 2*u = -6*u + 5, j*n - 4*u = -12 for n.
-1
Let w = 1 - -3. Suppose -w*u = -9*u. Solve -l + 2*z + 6 = -u*l, -6 = -2*l - 2*z for l.
4
Suppose 0 = -3*s - 5*i - 13, -2*s - i = -5*i - 28. Solve -18 = s*r - 2*d, 3*r - d = d - 13 for r.
-5
Suppose 2*n = -2*n - 24. Let z = 0 - n. Solve t = z*t + w - 19, 4*t + w - 16 = 0 for t.
3
Suppose 0 = -d - 5*q + 4, -3*d + 5*q = -0*d + 28. Let y be 2*(d/(-4) - 0). Let h = -1 + y. Solve 20 = -4*c - 3*b - b, 5*c - 4*b - h = 0 for c.
-2
Let p(l) = l + 10. Let n be p(-6). Solve -2*y - n*v = v - 17, 5*y - 3*v = -4 for y.
1
Suppose 0 - 3 = -3*l. Suppose 2*t = 3 - l. Solve 0*q + 4*q - b = -1, -2*q - t = -b for q.
0
Let b(u) = u + 15. Let j be b(-9). Solve -3*r - 4*p = -2*p + j, 24 = -3*r + 4*p for r.
-4
Let w be 96/18 + 1/(-3). Solve 0 = -o - w*k + 16, 4*k - 5 - 11 = 0 for o.
-4
Suppose 2*v - 3*v + 2 = 0. Let q be (-4)/18 - 202/(-18). Suppose -4*p - d + 18 = 0, d = 2*p - q - 1. Solve 3*z + i = v*i, -3*z = p*i for z.
0
Let g(r) = r**2 - r + 2. Let z be g(5). Solve 0 = -5*y + 3*p - z, -4*y + 0*y - 15 = -5*p for y.
-5
Suppose -1 = -4*m - 5*g, -2*g = 2*m - 5*g - 17. Let r be m/14 + 2/(-7). Solve 3*u + 5*o - 5 = r, 0 = -3*u + 5*u - o - 12 for u.
5
Let b be (-8)/(-6) + (-3)/9. Let i be (1/b)/(2/18). Suppose 0*m - 2*m = -2*o - 14, -o = 3. Solve 4*j - i = 5*s, -m*j = -7*j - 2*s - 22 for j.
-4
Suppose 0 = 3*w - 3, m - w = 5 - 3. Solve -8 = -5*c - 3*k - 0, -3*k = -m for c.
1
Suppose -4*t - 8 + 32 = 0. Suppose -4*b + 32 = 4*u, 3*u - 4*b - t = -b. Solve 22 = 2*f + u*w, -w = -5*f - 0*w + 1 for f.
1
Let o be 8/4 - (0 - 1). Suppose f + 3 + 4 = 4*x, o*f + 7 = 5*x. Solve -12 = l - 5*p, -2*l - 3*p = -1 - f for l.
-2
Suppose -3*i + 21 = -2*i + 5*o, -2*i - 4*o + 60 = 0. Solve 4*p + 2*c + c - 32 = 0, 4*p - i = -4*c for p.
5
Suppose 2*x + 3 = 11. Solve 3*q - q + x*r - 6 = 0, -r + 15 = -4*q for q.
-3
Let o(t) = t**2 - 2*t - 9. Let c be o(6). Solve c = p + 3*a, -19 = -5*p - 5*a + 16 for p.
3
Let u(z) = 2*z + 38. Let j be u(-16). Solve 0 = 4*v - 2*k + j*k, 0 = -4*v - 2*k + 2 for v.
1
Suppose -3*c + 2*c + 5 = 0. Suppose 4*o - 3*m + 1 = -4*m, 4*o + 5*m = -5. Solve -t - t - 3*n + 17 = o, -4*t - c*n + 29 = 0 for t.
1
Let w(p) be the third derivative of -p**5/60 + p**4/8 + p**3/2 + 3*p**2. Let l be w(3). Solve y - 17 = l*h, -4*y = -y - 3*h - 21 for y.
2
Suppose 5 = p - 7. Let n be 9/7 + p/(-42). Solve -n + 13 = -4*x, -r + 2*x = -10 for r.
4
Let w = -7 + 11. Suppose -10 = -w*s + 6. Solve 0 = -3*f - z + s + 6, 4*f - 28 = -5*z for f.
2
Suppose l + l - 20 = 0. Let p(q) = 3*q - 5. Let b be p(3). Solve 0 = -b*s + k - l, k - 2 = -2*s - 4 for s.
-2
Suppose -5*s - 16 = -s. Let m = 17 + s. Solve 4*r - 18 = -2*d, 5*d - 4*d + 3*r - m = 0 for d.
1
Let b(f) = -f**2 - 5*f - 2. Let c be b(-3). Let d be (4 - (-2)/c)*2. Solve -v - d = -5*p + 10*p, 3*p + 6 = 0 for v.
1
Let a = 6 + -9. Let n be (-30)/a + 2 - 1. Solve 4*d = 2*d - 3*x + 16, 0 = d + 3*x - n for d.
5
Let v(r) = 5*r**2 + 5 - 4*r**2 - 3 + 3*r. Let k be v(-2). Solve 2*y - 5*y + c + 17 = k, 0 = 5*y - 2*c - 29 for y.
5
Let v = 3 - 1. Solve -s - 19 = v*g + 4*s, 0 = g + s + 5 for g.
-2
Let x be 2/12 + (-4)/24. Suppose x*g = g - 7. Solve 4*w = -2*i + 3 + 9, -w - g = 3*i for w.
5
Let t be -2 - -5 - 0/1. Let h be t*2 - (-4)/(-2). Let m = 8 - h. Solve -5*f = z - 19, m*z - 2*f - 14 = -z for z.
4
Suppose -4*c = -12, -5*x + 4*c + 0 = -3. Solve 0 = 4*w + 2*l - x*l + 15, -2*l - 18 = 4*w for w.
-4
Let g(k) = 5*k + 1. Let x be g(2). Suppose 3*q - x = 40. Solve 0 = 3*d + 2*t - 10, 2*t - 3 + q = 3*d for d.
4
Let w = -6 + 8. Suppose -4 + 12 = w*q. Solve -5*d - 20 = 4*u - 3*u, -q*d = 2*u + 16 for u.
0
Let m(a) = -4*a - 1. Let s(z) = -7*z - 2. Let l(q) = -10*m(q) + 6*s(q). Let o be l(-4). Solve -2*n - 3 + 12 = 3*r, 2*r - 3*n - o = 0 for r.
3
Let v(g) = g**2 + 3*g - 5. Let x be v(5). Solve -4*s = -j - 15 - 6, 3*j = 5*s - x for j.
-5
Suppose 3*h - 108 = -h. Suppose -5*a - d - h = 0, a + 24 = -2*a + 2*d. Let q be ((-2)/a)/(1/15). Solve 3*x + 3*f + 12 = 0, -q*f = -0*f - 5 for x.
-5
Let m(b) = -2*b**3 - 4*b**2 - b + 2. Let d be (1 - (1 + -2))*-1. Let q be m(d). Solve l = q*u - 6, -2*u = -u - 2 for l.
2
Suppose -j = -2*t - 7, 55 = 3*j + j + t. Solve 0 = 7*u - 6*u + n - 3, 3*n - j = -5*u for u.
2
Suppose -4*q = -j + 5*j, -5*q = -j - 30. Suppose 0 = 4*w - 3*w - 5, q*b + w = 0. Let f = b + 2. Solve 3*p + 13 = -2*m, -f = m + 2*p + 8 for m.
1
Let u = -153 - -158. Solve 2*x - u*x - 4*b + 2 = 0, -4*x + b = 10 for x.
-2
Suppose 5*w = -4*p + 16, -12 = -3*p + 3*w + w. Solve -4*s + 4*l = -0*s - 8, 2*l = -p for s.
0
Let j be (2 - 1)*-2 - -1. Let i be 18/8 - j/(-4). Let a be -2 - -28 - i/1. Solve -5*t - 37 = 4*h, 6*h + a = 3*h - 3*t for h.
-3
Let u be (1*-12)/4 + 4. Let t be 3 - u - (-20 - -13). Solve 3*y + 0*y = -2*q + t, 2*q - y = -11 for q.
-3
Suppose 10 = 2*c + 4*b, -c + b + 5 = 4*b. Solve -5*k - 10 = c*l, k - 5*l - 30 = -4*k for k.
2
Suppose 16 = 5*j + 1. Let r be (11 - 48/8) + 0. Solve 0 = -3*t - g - j, r*g = 2*t + 3 - 1 for t.
-1
Suppose 1 = n - 2. Solve 2*q - 3*m = 15, 0 = -5*q + n*m + 2*m + 25 for q.
0
Let b be (8/(-6))/((-6)/18). Let o = b - -8. Suppose 0 = -w - 4*n + 2*n, -w + 4*n = -o. Solve 0 = j + 4*h - 16 + w, 0 = -4*j + h - 3 for j.
0
Let v be (-1)/((-4)/(-6) - 1). Let d be v - (2 + -7 - 2). Suppose 0 = 3*z - 0*c - c - d, 0 = -2*z - 2*c + 20. Solve z*s = 2*u + 22, -5*u + 7 = 5*s - 8 for u.
-1
Let d(q) = q**2 - 5*q - 8. Let w be d(7). Solve 2*j - 12 = w*j, 4*j = 5*o - 7 for o.
-1
Let b be ((-2)/5)/((-1)/(-605)). Let y be (-2)/5 + b/(-55). Solve y*t + 3*q = 3*t - 18, 0 = -4*t - 4*q - 32 for t.
-3
Suppose -2*b + 2 + 2 = 0. Suppose 0 = a - 2*i + 3, -b*i - 2*i = -12. Solve a*n - 2*p = -2 - 21,
|
{
"pile_set_name": "DM Mathematics"
}
|
ween 12:45 PM and 3:40 PM?
175
What is 313 minutes after 5:40 PM?
10:53 PM
How many minutes are there between 12:21 PM and 11:54 PM?
693
How many minutes are there between 5:49 AM and 3:27 PM?
578
What is 646 minutes before 8:53 AM?
10:07 PM
How many minutes are there between 11:53 PM and 2:25 AM?
152
What is 121 minutes before 10:43 PM?
8:42 PM
How many minutes are there between 11:00 AM and 9:36 PM?
636
How many minutes are there between 5:10 AM and 1:44 PM?
514
What is 605 minutes before 9:59 AM?
11:54 PM
What is 532 minutes before 8:31 PM?
11:39 AM
What is 560 minutes after 5:08 PM?
2:28 AM
How many minutes are there between 11:04 PM and 9:28 AM?
624
How many minutes are there between 6:36 AM and 12:13 PM?
337
How many minutes are there between 11:31 PM and 4:41 AM?
310
How many minutes are there between 1:41 PM and 12:38 AM?
657
How many minutes are there between 9:36 PM and 7:43 AM?
607
How many minutes are there between 6:11 AM and 11:21 AM?
310
What is 568 minutes before 5:22 AM?
7:54 PM
How many minutes are there between 5:10 AM and 9:36 AM?
266
What is 578 minutes after 8:26 AM?
6:04 PM
How many minutes are there between 10:38 AM and 2:29 PM?
231
How many minutes are there between 7:10 AM and 11:22 AM?
252
How many minutes are there between 11:54 AM and 6:10 PM?
376
What is 148 minutes before 10:54 AM?
8:26 AM
How many minutes are there between 12:14 PM and 2:42 PM?
148
How many minutes are there between 12:10 AM and 9:56 AM?
586
What is 624 minutes after 8:38 PM?
7:02 AM
What is 502 minutes after 7:20 AM?
3:42 PM
What is 323 minutes after 2:22 AM?
7:45 AM
How many minutes are there between 12:19 PM and 1:30 PM?
71
What is 42 minutes before 4:04 PM?
3:22 PM
How many minutes are there between 7:00 AM and 6:33 PM?
693
What is 634 minutes after 12:30 PM?
11:04 PM
What is 366 minutes after 7:34 PM?
1:40 AM
What is 337 minutes after 2:07 AM?
7:44 AM
How many minutes are there between 7:28 AM and 6:12 PM?
644
How many minutes are there between 10:10 AM and 2:20 PM?
250
How many minutes are there between 10:55 AM and 3:15 PM?
260
How many minutes are there between 5:51 AM and 4:07 PM?
616
What is 158 minutes before 10:36 PM?
7:58 PM
How many minutes are there between 7:37 AM and 2:36 PM?
419
What is 468 minutes after 8:31 AM?
4:19 PM
What is 457 minutes before 10:52 PM?
3:15 PM
What is 76 minutes after 9:02 PM?
10:18 PM
What is 121 minutes after 10:30 AM?
12:31 PM
How many minutes are there between 12:25 AM and 10:01 AM?
576
What is 38 minutes before 2:21 AM?
1:43 AM
What is 655 minutes before 2:04 AM?
3:09 PM
How many minutes are there between 10:20 PM and 6:12 AM?
472
What is 170 minutes before 6:19 AM?
3:29 AM
What is 204 minutes before 9:51 PM?
6:27 PM
What is 690 minutes before 4:34 AM?
5:04 PM
What is 616 minutes after 8:51 PM?
7:07 AM
What is 699 minutes after 7:02 PM?
6:41 AM
What is 337 minutes after 4:52 AM?
10:29 AM
How many minutes are there between 11:30 PM and 7:13 AM?
463
What is 238 minutes before 4:44 AM?
12:46 AM
How many minutes are there between 12:29 AM and 8:22 AM?
473
What is 120 minutes before 2:03 PM?
12:03 PM
How many minutes are there between 4:59 PM and 11:45 PM?
406
How many minutes are there between 11:44 PM and 4:49 AM?
305
How many minutes are there between 7:22 AM and 6:25 PM?
663
How many minutes are there between 10:09 AM and 7:12 PM?
543
What is 663 minutes before 6:32 AM?
7:29 PM
What is 681 minutes before 5:55 AM?
6:34 PM
What is 612 minutes after 12:10 AM?
10:22 AM
What is 524 minutes before 9:51 AM?
1:07 AM
What is 53 minutes after 3:54 PM?
4:47 PM
How many minutes are there between 11:22 PM and 5:21 AM?
359
What is 387 minutes before 1:04 AM?
6:37 PM
How many minutes are there between 7:39 PM and 12:49 AM?
310
What is 97 minutes before 12:35 AM?
10:58 PM
How many minutes are there between 8:54 PM and 10:11 PM?
77
What is 503 minutes after 6:43 AM?
3:06 PM
How many minutes are there between 1:37 PM and 6:59 PM?
322
How many minutes are there between 11:35 AM and 9:53 PM?
618
How many minutes are there between 11:02 PM and 9:30 AM?
628
How many minutes are there between 12:17 PM and 11:49 PM?
692
How many minutes are there between 2:30 AM and 12:17 PM?
587
How many minutes are there between 7:20 PM and 4:19 AM?
539
How many minutes are there between 10:02 AM and 4:01 PM?
359
What is 252 minutes after 6:53 AM?
11:05 AM
What is 660 minutes before 1:25 PM?
2:25 AM
How many minutes are there between 4:59 AM and 1:27 PM?
508
How many minutes are there between 8:53 PM and 5:03 AM?
490
What is 680 minutes after 1:40 AM?
1:00 PM
What is 325 minutes before 8:59 AM?
3:34 AM
How many minutes are there between 4:32 AM and 12:06 PM?
454
How many minutes are there between 10:40 AM and 1:35 PM?
175
What is 132 minutes before 1:56 PM?
11:44 AM
How many minutes are there between 7:08 PM and 6:05 AM?
657
What is 689 minutes after 11:24 AM?
10:53 PM
How many minutes are there between 4:05 AM and 3:06 PM?
661
What is 405 minutes after 1:22 AM?
8:07 AM
What is 321 minutes after 3:41 PM?
9:02 PM
What is 543 minutes after 7:56 PM?
4:59 AM
What is 439 minutes after 8:05 AM?
3:24 PM
What is 630 minutes after 7:20 PM?
5:50 AM
How many minutes are there between 1:18 PM and 8:00 PM?
402
What is 203 minutes after 8:12 AM?
11:35 AM
What is 609 minutes after 1:18 PM?
11:27 PM
How many minutes are there between 10:24 PM and 4:55 AM?
391
How many minutes are there between 1:33 AM and 3:23 AM?
110
What is 207 minutes after 6:26 AM?
9:53 AM
What is 525 minutes after 6:05 AM?
2:50 PM
How many minutes are there between 10:43 PM and 6:45 AM?
482
How many minutes are there between 7:55 PM and 12:48 AM?
293
How many minutes are there between 10:45 PM and 6:08 AM?
443
How many minutes are there between 9:09 AM and 8:46 PM?
697
How many minutes are there between 1:46 AM and 11:27 AM?
581
How many minutes are there between 7:01 PM and 3:09 AM?
488
What is 504 minutes after 1:14 PM?
9:38 PM
What is 325 minutes after 9:20 PM?
2:45 AM
How many minutes are there between 3:51 PM and 2:07 AM?
616
How many minutes are there between 2:52 AM and 2:23 PM?
691
What is 560 minutes before 12:54 AM?
3:34 PM
What is 159 minutes before 4:40 PM?
2:01 PM
What is 265 minutes after 11:44 PM?
4:09 AM
What is 607 minutes before 9:21 PM?
11:14 AM
What is 315 minutes before 7:31 PM?
2:16 PM
How many minutes are there between 8:37 PM and 2:36 AM?
359
What is 148 minutes before 7:50 PM?
5:22 PM
How many minutes are there between 5:24 AM and 6:15 AM?
51
What is 14 minutes before 5:21 PM?
5:07 PM
How many minutes are there between 5:26 PM and 11:57 PM?
391
What is 501 minutes before 9:56 PM?
1:35 PM
How many minutes are there between 11:09 PM and 12:56 AM?
107
How many minutes are there between 4:56 AM and 10:11 AM?
315
How many minutes are there between 5:56 AM and 2:51 PM?
535
How many minutes are there between 10:00 AM and 2:25 PM?
265
What is 581 minutes after 6:56 AM?
4:37 PM
What is 520 minutes before 9:28 AM?
12:48 AM
What is 255 minutes before 7:48 PM?
3:33 PM
What is 573 minutes after 1:52 PM?
11:25 PM
How many minutes are there between 9:50 AM and 9:40 PM?
710
What is 502 minutes after 1:41 PM?
10:03 PM
How many minutes are there between 9:48 PM and 4:16 AM?
388
How many minutes are there between 3:35 PM and 9:17 PM?
342
How many minutes are there between 10:04 PM and 9:29 AM?
685
How many minutes are there between 7:53 AM and 3:18 PM?
445
How many minutes are there between 11:41 PM and 5:55 AM?
374
How many minutes are there between 5:09 PM and 1:54 AM?
525
How many minutes are there between 1:48 PM and 4:20 PM?
152
How many minutes are there between 1:32 AM and 9:55 AM?
503
How many minutes are there between 10:03 PM and 9:32 AM?
689
How many minutes are there between 11:59 PM and 4:57 AM?
298
How many minutes are there between 11:35 AM and 6:59 PM?
444
How many minutes are there between 9:25 AM and 2:18 PM?
293
What is 419 minutes after 4:03 AM?
11:02 AM
How many minutes are there between 2:30 PM and 4:11 PM?
101
What is 456 minutes before 6:13 PM?
10:37 AM
How many minutes are there between 9:58 PM and 4:32 AM?
394
How many minutes are there between 3:41 PM and 10:09 PM?
388
How many minutes are there between 6:15 AM and 6:40 AM?
25
What is 685 minutes
|
{
"pile_set_name": "DM Mathematics"
}
|
(p) = -217*p**2 + p + 2. Let o(b) = 224*b**2 - b - 1. Determine -5*a(k) - 6*o(k).
-259*k**2 + k - 4
Let l(r) = -r**2 - 2*r - 4. Let x(m) = 9*m**2 + 13*m - 31. Let a(p) = 4*p**2 + 6*p - 11. Let o(n) = 5*a(n) - 2*x(n). Give 5*l(c) + 2*o(c).
-c**2 - 2*c - 6
Let j(u) = -4. Let s = 22 - 15. Let n(i) = 1. Let g(l) = s*n(l) + 2*j(l). Let f(q) be the second derivative of q**3/2 - 14*q - 3. Determine f(v) - 2*g(v).
3*v + 2
Let z(i) = -2*i**2 + 724*i - 1. Let k(s) = 8*s**2 - 2895*s + 5. Give -3*k(g) - 13*z(g).
2*g**2 - 727*g - 2
Let w(f) = -14420 + 14420 - f. Suppose 2*y + 0*y = 8. Let v(t) = -3*t + 4. What is y*w(c) - v(c)?
-c - 4
Let q(p) = -p**2 + p - 1. Let m(l) = 12*l**3 + 100*l**2 + 71*l - 144*l**2 - 27*l - 44. Determine -2*m(j) + 88*q(j).
-24*j**3
Let q(g) = -1. Let p(i) = -i + 4. Suppose -100 = 158*x + 270 - 54. Give x*p(w) - 10*q(w).
2*w + 2
Let a = -20 + 27. Let b(p) = -p**3 + 8*p**2 - 6*p - 5. Let z be b(a). Let w(d) = 222*d**z - 222*d**2 - d**3. Let x(u) = -6*u**3. Calculate -9*w(f) + x(f).
3*f**3
Let m(i) = i + 115*i**3 - 116*i**3 - 1104 + 1104. Let z(f) be the third derivative of f**6/24 - f**5/60 - f**4/4 - f**2. What is 11*m(h) + 2*z(h)?
-h**3 - 2*h**2 - h
Let g(f) = 1386*f + 43. Let y(k) = -460*k - 15. Give -6*g(v) - 17*y(v).
-496*v - 3
Let l(p) = -4*p. Let j be 18 + -12 + -8 - (2 - 5). Let h(u) = u**2 - u. Suppose i + 12 = -3*o, i + 0*o + 7 = 2*o. Let v = 5 + i. What is j*l(y) + v*h(y)?
-4*y**2
Let b(r) = -100*r**2 + 25*r. Let q(u) = 157*u**2 - 69*u**2 - 6*u - 63*u**2. What is -6*b(o) - 25*q(o)?
-25*o**2
Let y(c) = 14*c + 1. Suppose -b = 4*g - 5, b = -7 + 4. Let v(h) = 55*h + 4. Determine g*v(w) - 9*y(w).
-16*w - 1
Let d(c) = -4 - 115*c**3 + 238*c**3 - 124*c**3 - 2*c + 2*c. Let u(t) = 4*t**3 + 11. Determine 14*d(q) + 4*u(q).
2*q**3 - 12
Let h be 2 + 16 + -29 - -25. Let l(y) = 2*y**2 - 4*y - 2. Let z(j) = j**3 - 7*j**2 + 13*j + 7. Determine h*l(c) + 4*z(c).
4*c**3 - 4*c
Let r(s) = 17*s - 2992. Let d(x) = 4*x - 749. Calculate -9*d(y) + 2*r(y).
-2*y + 757
Let y(v) = -140*v - 12069. Let r(p) = 23*p - 1. Calculate -6*r(u) - y(u).
2*u + 12075
Let c(y) = 2*y**2 - 270685*y - y**2 + 270686*y. Let f(h) = -7*h + 0*h + 10*h + h + 5*h**2. Suppose -3 = 2*p - 5. What is p*f(i) - 6*c(i)?
-i**2 - 2*i
Let r(f) = 2*f**2 + 4*f - 5. Let q(n) = -4*n**2 - 7*n + 9. Let t = 5 + -12. Let c(m) = -4*m**2 - 8*m - 8. Let d be c(-1). Determine d*q(y) + t*r(y).
2*y**2 - 1
Let o = 746 + -729. Let y(z) be the second derivative of -5*z**3/6 + z**2 - 4*z. Let r(s) = 14*s - 5. Calculate o*y(p) + 6*r(p).
-p + 4
Let w(c) = 7 + 7 + 15 + 9 - 42 - 4*c. Let z(v) = 3*v + 3. What is 5*w(f) + 6*z(f)?
-2*f - 2
Let a(l) = 6*l - 5. Let t(b) be the third derivative of 25*b**2 + 0 + 1/24*b**4 - 1/6*b**3 + 0*b. Let z = -3 + 6. Determine z*t(o) - a(o).
-3*o + 2
Let t(c) = -c - 1. Let k(i) = -2*i**3 - 5*i**2 - 3*i + 19. Let u be k(-5). Let x = u + -158. Let r(j) = 4. Determine x*r(w) + t(w).
-w + 3
Let r(c) = -8*c + 24. Let q(z) = 1. Let h be ((-12)/(-7))/(171/266*1/9). Calculate h*q(g) - r(g).
8*g
Let f(k) = 13*k**3 + 36*k**2 + 4*k. Let v(c) = -24*c**3 - 71*c**2 - 6*c. Determine -5*f(i) - 3*v(i).
7*i**3 + 33*i**2 - 2*i
Let y(c) = -7*c**2 + 73*c. Let n(t) = 9*t**2 - 95*t. Let p(j) = 10*n(j) + 13*y(j). Let a(k) = 8*k**2 + 6*k - 2. What is 2*a(h) + 14*p(h)?
2*h**2 - 2*h - 4
Let l(j) = 62*j + 1390. Let u(d) = -18*d - 463. Give -2*l(r) - 7*u(r).
2*r + 461
Let t(s) = 555*s - 18. Let y(p) = 831*p - 29. Calculate 8*t(k) - 5*y(k).
285*k + 1
Let c(p) = -9*p + 4. Let x be c(-4). Let v(a) = 25*a + 69. Let j(z) = 31*z + 93. Let n(g) = 3*j(g) - 4*v(g). Let i(y) = -90*y + 40. What is x*n(o) - 3*i(o)?
-10*o
Let w(i) = 22*i - 5. Suppose -5*y = 5*j - 2786 + 2776, 5*y + 17 = 4*j. Let g(c) = c + 1. Determine y*w(u) - 3*g(u).
-25*u + 2
Let t(w) = 73*w**3 - 3*w**2 - 4*w - 4. Let f(u) = 5*u**3 + u**2 + 6*u + 1. Give 2*f(l) + t(l).
83*l**3 - l**2 + 8*l - 2
Let t(f) = f**3 - 6*f**2 - 314*f. Let l(o) = -11*o**2 - 628*o. What is -6*l(g) + 11*t(g)?
11*g**3 + 314*g
Let c(g) = g**2 + 1. Suppose 9*k - 13*k + 24 = -4*x, 21 = 4*k - 5*x. Suppose k = -17*d - 8. Let n(q) = -4*q**2 - 10. What is d*n(z) - 5*c(z)?
-z**2 + 5
Let b(h) = -25*h**3 - 74*h**2 + 34*h - 1. Let p(y) = -5*y**3 - y**2 - 6*y. Calculate b(i) + 6*p(i).
-55*i**3 - 80*i**2 - 2*i - 1
Let n(q) be the first derivative of -q**2/2 + 2. Let t be (4/(-6))/((-240)/117 - -2). Let w(r) = -r + t*r + 0*r. What is 22*n(l) + 2*w(l)?
2*l
Let b be ((-3)/6)/((-3)/6). Let n(t) = t**2 + t - 1. Let q = 12 + -10. Let v(s) = -q + 3*s - 3*s**2 + 9*s**2 - s**3 - 7 + 5. Calculate b*v(h) - 3*n(h).
-h**3 + 3*h**2 - 1
Let c(s) = -2*s - 1. Let b(i) = 2*i. Let n(h) = -2*h**2 - 60*h - 2*h**2 - 42 - 45 + 84. Let k be n(-15). Determine k*b(p) - 2*c(p).
-2*p + 2
Let b(o) = -5*o - 2. Let u be (8/(-12))/(2/33). Let x(t) = -25*t - 10. Determine u*b(l) + 2*x(l).
5*l + 2
Let d(l) = -26*l**2 - 10*l + 1. Let o(t) = 47*t**2 + 19*t - 1. What is -11*d(g) - 6*o(g)?
4*g**2 - 4*g - 5
Let s(g) = 78579083*g + 34595. Let b(r) = -6814*r - 3. What is -34595*b(w) - 3*s(w)?
-6919*w
Let v(q) = 3*q**2 - 13*q + 7. Let j = 17970 - 17965. Let u(i) = -4*i**2 + 13*i - 8. Calculate j*u(x) + 6*v(x).
-2*x**2 - 13*x + 2
Let k(x) = -44*x**2 + 85*x - 5. Let a(w) = 13*w. Determine -6*a(t) + k(t).
-44*t**2 + 7*t - 5
Let g(z) = 3204*z**3 - 14*z**2 - 12. Let i(b) = 3203*b**3 - 9*b**2 - 8. Determine -2*g(r) + 3*i(r).
3201*r**3 + r**2
Let s(n) = -3*n**2 + 6*n - 6. Let f(c) = 3*c**2 - 5*c + 5. Let o = -484 - -1022. Let h = o - 544. Give h*f(w) - 5*s(w).
-3*w**2
Let q(n) = 12*n + 15. Let v(o) = 3*o + 3. Let s(h) = -2*q(h) + 11*v(h). Let f(k) be the second derivative of k**2/2 - k + 13. Give -3*f(i) + s(i).
9*i
Let s(b) = -7*b + 1429. Let d(m) = m - 76. Determine 5*d(j) + s(j).
-2*j + 1049
Let g(y) = 1. Let d(o) = -10*o - 154. Let r(v) = v + 29. Let s(i) = d(i) + 5*r(i). Calculate 5*g(f) + s(f).
-5*f - 4
Suppose 0 = -j - 0*d - 2*d + 10, 5*j - 8 = 4*d. Let i = -4 + j. Let f(h) = -5 + 6 + i*h + 0*h - h. Let s(o) = -2*o**2 + 2*o + 1. What is -f(q) - s(q)?
2*q**2 - q - 2
Let m(v) = -2*v**2 + v - 7. Let g(n) = -6*n**2 + 2*n - 20. Let x be (-64)/176 + (-62)/11. Determine x*g(c) + 17*m(c).
2*c**2 + 5*c + 1
Let l(c) = -3*c**3. Let t(w) be the second derivative of -w**5/20 - w**4/12 + w**3/6 - 17*w + 35. Calculate -l(g) + 2*t(g).
g**3 - 2*g**2 + 2*g
Let w(i) = -11*i**2 - 40*i - 100. Let j(b) = -3*b**2 - 11*b - 22. Calculate -15*j(k) + 4*w(k).
k**2 + 5*k - 70
Let r(d) = -1. Let j(q) = -479*q - 10. Give -j(g) + 8*r(g).
479*g + 2
Let a(d) = -6*d**3 - 51*d**2 + 6*d. Let c(f) be the third derivative of f**6/120 + f**5/6 - f**4/24 - 768*f**2. Give -2*a(s) - 11*c(s).
s**3 - 8*s**2 - s
Let f(m) = 7*m**3 + 21*m**2 - 5*m - 2. Let n(v) = -10*v**3 - 32*v**2 + 7*v + 3. Let j = 41223 + -41230. Calculate j*f(x) - 5*n(x).
x**3 + 13*x**2 - 1
Let c(g) = -3*g**2 - g - 10. Let f(s) = 6*s**2 + s - 44. Calculate 5*c(l) + 2*f(l).
-3*l**2 - 3*l - 138
Let c(g) = -4*g**2 + 7*g - 5. Let t be c(5). Let p = 69 + t. Let o be 2 - (0 + 1)*p. Let m(n) = -34*n**2 - 14. Let k(r) = -7*r**2 - 3. What is o*m(l) - 14*k(l)?
-4*l**2
Let r(z) = 2*z**3 + 14*z**2 - z - 8. Let h be (-8)/(-2 - 0)*15. Let l = -63 + h. Let k(t) = t**3 + 5*t**2 - 3. What is l*r(b) + 8*k(b)?
2*b**3 - 2*b**2 + 3*b
Let z(k) = 4*k**2 + 3. Let s(u) = 15*u**2 + 102*u + 13. Calculate -s(v) + 4*z(v).
v**2 - 102*v - 1
Let r(y) = -5*y**2 + 45*y - 12. Let a(c) = 15*c**2 - 133*c + 34. Give 6*a(o) + 17*r(o).
5*o**2 - 33*o
Let w(k) = -2*k**3 + 5*k**2 - 5*k - 16. Let p(x) = -6*x**3 + 14*x**2 - 14*x - 48. Let f be (-231)/(-770) + 286/(-20). Calculate f*w(o) + 5*p(o).
-2*o**3 - 16
Let y(n) = -2*n - 2. Let x(o) = 3*o + 3. Let z be 4/9*33*(-6)/(-4). Suppose 0*m + 3*m = -81. Let u = z + m. Calculate u*x(f) - 7*y(f).
-f - 1
Let n(t) = 65*t**2 - 39*t + 39. Let b(y) = 5*y**2 + 51*y - 15. Let h(c) = 6*c**2 + 64*c - 19. Let s(j) = 5*b(j) - 4*h(j). Give -n(m) + 39*s(m).
-26*m**2
Let l(f) = 292407*f**3 + 0 - 292421*f**3 - 6. Let j(s) be the third derivative of 13*s**6/120 + 5*s**3/6 + s**2. Give 6*j(c) + 5*l(c).
8*c**3
Let g(i) = -i**2 - 103*i - 2576. Let l be g(-60). Let x(p) = 13*p - 8. Let a(s) = -s + 1. Determine l*a(y) + x(y).
9*y - 4
Let s(q) = -278*q + 1866. Let u(j) = 101*j - 622. What is 4*s(i) + 11*u(i)?
-i + 622
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
.5 + 68.1. Round f to the nearest 10.
60
Let u = -0.6 + 0.66. Let v = u + -0.05907. Round v to 4 dps.
0.0009
Let s = 2414.00001587 - 2414. What is s rounded to 6 decimal places?
0.000016
Suppose -2*b + 5*a - 893725 = -3431740, -5*a - 1269015 = -b. What is b rounded to the nearest one hundred thousand?
1300000
Let w = -44.0102 + 44. What is w rounded to 3 decimal places?
-0.01
Suppose -5*z - 5*w = 5, 13 = -4*w + 1. Suppose z*q - 6*q = -804000. What is q rounded to the nearest ten thousand?
200000
Let s(w) = 22051*w - 4. Let d be s(5). Suppose -d = -5*r + 4*r. Let z = -65251 + r. Round z to the nearest 10000.
50000
Let h = -200981 - -201012.9973. Let p = 76 - 44. Let o = h - p. What is o rounded to three decimal places?
-0.003
Let l = -1331766.3120073 - -185.3153073. Let j = -1331512 - l. Let y = 69 - j. Round y to 3 decimal places.
0.003
Let k = 0.04657 - -3428.95343. Let g = k + -3437.00045. Let r = g + 8. Round r to 4 decimal places.
-0.0005
Let o = -15 - -14. Let r be -449998 + (0 + 2)/o. What is r rounded to the nearest 100000?
-500000
Let z = 20.947 - -0.053. Let n = z - 5. Let k = -16.7 + n. Round k to the nearest integer.
-1
Let z = 65.9975 + -66. Round z to four decimal places.
-0.0025
Let m = -2975297 - -1499310. Let o = -1475986.6000019 - m. Let r = o + -0.4. What is r rounded to six decimal places?
-0.000002
Let a = 168564 - 170067.722. Let i = 1500 + a. Let v = 3.8 + i. What is v rounded to two decimal places?
0.08
Let m be 3/(-3) - (3 - 0). Let v(s) = 122500*s. Let k be v(m). What is k rounded to the nearest 100000?
-500000
Let r = -228.8096 + 229. Let l = r - 0.19. What is l rounded to four decimal places?
0.0004
Let n = -234.24338 - -192.244. Let i = n + 42. Round i to 4 dps.
0.0006
Let w = -3.5 + 4.34. What is w rounded to one decimal place?
0.8
Let q = 8.67 + -1.7. Let v = 1 - 8. Let h = q + v. What is h rounded to two dps?
-0.03
Suppose -5*r + d - 19596051 = 0, 0 = d - 3*d + 2. Let y(a) = 339902*a**3 - a**2 - a. Let n be y(2). Let z = r + n. What is z rounded to the nearest 1000000?
-1000000
Let s = -440 + 294. Let g = 121053.863 + -121200. Let p = s - g. What is p rounded to two decimal places?
0.14
Let d = -16 + 16.019. Let x = -3 + 3.02. Let q = d - x. Round q to four dps.
-0.001
Let h = 2.3 - 1.2. Let d = -1610.69519974 - -1611.7952. Let q = d - h. What is q rounded to seven decimal places?
0.0000003
Let x(z) = 4944*z**2 - 2*z + 4. Let c be x(-6). Suppose -3*b + 4*b = -c. Round b to the nearest ten thousand.
-180000
Let u = 14 + -17. Let p be 1/u - (-12959998)/(-6). Round p to the nearest 100000.
-2200000
Let n = -2 - -1.4. Let b = 0.5999 + n. What is b rounded to 5 decimal places?
-0.0001
Let w = -1 - -1.0000258. Round w to six dps.
0.000026
Let n = -1 + -6. Let l = -5 - n. Let i = l + -1.99985. What is i rounded to 4 dps?
0.0002
Let u(w) = -152*w**2 + w - 2. Let v be u(1). What is v rounded to the nearest 10?
-150
Let o = 0.053 - 0.161. Let q = o + 0.10753. Round q to four dps.
-0.0005
Let v = 252 + 143. Let y = -166 + v. Let k = -228.03 + y. What is k rounded to 1 decimal place?
1
Let r = -1478127.54 + -17775.46. Let u = r + 1495895.99997. Let m = 7 + u. What is m rounded to four decimal places?
0
Let s = -0.0036 + -5.2864. Let t = -5 - s. Let z = 0.04 - t. What is z rounded to 1 dp?
-0.3
Let m be 1 - 9518*4917/6. Round m to the nearest one million.
-8000000
Let o = 14.999963 + -15. What is o rounded to five dps?
-0.00004
Suppose -476000 = 2*q - 4*m, 4*q - 4*m + 9*m = -952000. Round q to the nearest ten thousand.
-240000
Suppose 4*d - 81999936 = -0*d. Suppose -5*q - 4*h + d = 0, -3*h = -4*q - 7*h + 16399984. What is q rounded to the nearest 1000000?
4000000
Suppose 5*u + 4*o = 82097 - 17605, o = -2. What is u rounded to the nearest 1000?
13000
Let q(l) be the second derivative of -323*l**5/4 - 5*l**4/12 - 21*l. Let m(d) = d**2 + 5. Let t be m(0). Let o be q(t). Round o to the nearest 10000.
-200000
Suppose 3*o + 88 = 2*s, 0 = o - 1 - 3. Round s to the nearest 10.
50
Let b = 657 - 656.9106. Round b to two decimal places.
0.09
Let v = 14.2 + -16. Let b = v + 1.800028. What is b rounded to 5 decimal places?
0.00003
Let h = 19.019 - 19. Let i = h - -1.291. Round i to 1 dp.
1.3
Let j(v) = -454*v - 18. Let m be j(9). Let o be 1 + 2 + m - -1. Round o to the nearest one thousand.
-4000
Let h = 13 + -13.19. Let k = h + 0.190029. Round k to 5 decimal places.
0.00003
Let j = -2.85 + -166.15. Let t = -8802.27 + 8634. Let b = j - t. What is b rounded to 1 dp?
-0.7
Let s = 4 + -3.99946. What is s rounded to four decimal places?
0.0005
Suppose 2*r + 5*x - 340 = 0, 171 = r - 0*x + 3*x. Let d be (-2 + 0)*r/(-10). Let k be (d/(-9))/(2/(-30)). Round k to the nearest ten.
60
Let c = 0.08 + 0.22. Let l = -0.19 - c. Round l to one decimal place.
-0.5
Let h = 2 + -2. Suppose 5*n + 2*b = -h*b - 306, 5*b - 105 = 2*n. Let x be n/8*6/(-5). Round x to the nearest 10.
10
Let d = 39 + -76. Let c = -65 - d. Let z = 27.99999948 + c. What is z rounded to seven decimal places?
-0.0000005
Let x = 0.01 - -0.04. Let g = 0.04998 - x. Round g to four dps.
0
Let t(u) = u**3 + 8*u**2 - 2*u - 10. Let h be t(-8). Let w = -8 + h. Let y be 1 + w - (-2 + 461). What is y rounded to the nearest one hundred?
-500
Let s = 13268 + -4668. What is s rounded to the nearest 1000?
9000
Let f(y) = -26883*y - 7. Let s be f(-5). Let j = 24381 - s. Let t = 32027 + j. Round t to the nearest ten thousand.
-80000
Let v = 17.936 - 18. What is v rounded to two dps?
-0.06
Let c(t) = 58162*t**2 - 9*t - 1. Let w be (3/(12/(-56)))/2. Let p be c(w). What is p rounded to the nearest 100000?
2900000
Let z(d) = -d**3 + 6*d**2 + 6*d + 10. Let s be z(7). Suppose 387 = s*y - 393. Suppose 7*r + y = 2*r. What is r rounded to the nearest ten?
-50
Let a be (-10)/15*(-81)/2. Suppose 2*s = a - 3. Round s to the nearest ten.
10
Let w(f) = f**3 - f**2 - f + 229. Let u be w(0). Let k(x) = -13*x**3 - 3*x**2 - 1. Let z be k(-3). Let v = u - z. Round v to the nearest 10.
-90
Let b = 1 + -0.2. Let r = b + -1.06. Let g = r - -0.3. Round g to 2 decimal places.
0.04
Let z(f) = 2*f**3. Let c be z(0). Suppose 3*j - 4*k - 536 = c, -5*j = -3*k - k - 896. Round j to the nearest one hundred.
200
Let q = 376433 - 564407. Let n = q + 353749. Suppose 0 = 3*f + n + 584225. Round f to the nearest one hundred thousand.
-300000
Let j = -45.91 - -0.91. Let s = j - -120. Let p = 74.9961 - s. What is p rounded to 3 decimal places?
-0.004
Let k be (-20)/(-5) + 27691 + 5. Round k to the nearest ten thousand.
30000
Let g = 112.1 - 112.1959. Let o = g - -28.6459. Let h = -28 + o. Round h to 1 decimal place.
0.6
Let j(y) = -5*y - y**2 + y**3 + 5*y + 600 + y. Let u be j(0). Round u to the nearest one hundred.
600
Let j = 1.3 + -0.13. Let l = j - 1.16886. Round l to 4 decimal places.
0.0011
Let n = 266 - 188.8. Let a = n - -2.8. Let i = a - 79.967. What is i rounded to two dps?
0.03
Suppose -3*q + 32 + 23 = y, -94 = -5*q - 4*y. Let d be (-6)/q + 2701/3. Round d to the nearest 1000.
1000
Let c = 548086 - 548086.230017. Let i = -0.23 - c. Round i to five decimal places.
0.00002
Let u = 47.9999896 + -48. What is u rounded to 6 dps?
-0.00001
Let r = -16.29999857 + 16.3. What is r rounded to seven dps?
0.0000014
Let v = -26 - -115. Let b = v + -88.9927. Round b to three decimal places.
0.007
Let k = -13.7 + 13. Let o = 0.3 - k. Let r = -1.00001 + o. What is r rounded to four decimal places?
0
Let b = 5.58146 - 5.55. Let t = b + -0.031. Round t to 4 decimal places.
0.0005
Let q = 1.3 - 1.299948. What is q rounded to 5 dps?
0.00005
Let j be (-3 - -1)*(-1)/1. Let o be 1319998 - (j + -4)*1. Suppose 0 = q + 3*q + o. What is q rounded to the nearest 100000?
-300000
Let g = -65389186.33000029 + 65389186. Let f = 0.37 + -0.7. Let v = f - g. What is v rounded to seven dps?
0.0000003
Let z = -1847.6 + 15.6. Let t = 1836.995 + z. Let c = t + -5. Round c to three decimal places.
-0.005
Let m = 0 + -0.4. Let t = -0.59 + 0.98. Let p = m + t. What is p rounded to one decimal place?
0
Suppose p = -4*p + 115. Let c = 18 + p. What is c rounded to the nearest ten?
40
Let h(n) = 9499*n**2 - 3*n - 2. Suppose 4*c = -0*c - 8. Let d be h(c). Round d to the nearest 10000.
40000
Let k = -1 - -5. Suppose 16 = -k*x, -4*m + 2*m + 1128 = -2*x. What is m rounded
|
{
"pile_set_name": "DM Mathematics"
}
|
be v(-1). Let j(d) = -2*d - 10. Let r be j(-6). Factor n*t**3 + t + t**r - 8*t**3 - t**4 + 0*t**2.
-t*(t - 1)*(t + 1)**2
Let i(h) = -h**2 + 11*h - 8. Let c be i(10). What is f in -2*f**c - f**4 + 2*f**4 + 3*f**3 - 2*f**3 = 0?
-2, 0, 1
Let g(t) = -4*t**2 - 8*t - 6. Let d(i) = 17*i**2 + 32*i + 23. Let u(c) = -2*d(c) - 9*g(c). Factor u(n).
2*(n + 2)**2
Factor 6*h - 5 + 1 + 4 - 3*h**2.
-3*h*(h - 2)
Let p be (-6)/11*(-946)/387. Factor 4/3 + 1/3*a**2 - p*a.
(a - 2)**2/3
Let 5*a**3 + 2/3 + 7*a + 59/3*a**2 - 25/3*a**4 = 0. What is a?
-1, -1/5, 2
Let q(y) be the second derivative of -y**5/45 - y**4/24 + y**3/18 + 2*y**2 - y. Let n(o) be the first derivative of q(o). Factor n(s).
-(s + 1)*(4*s - 1)/3
Let f = 217 - 2381/11. Factor -f*p**2 - 2/11*p + 0.
-2*p*(3*p + 1)/11
Let x(g) = -g**3 - 3*g**2 - 2*g + 2. Let l be x(-3). Suppose 5*t + 2*m - 10 = 0, 3*t + t - 2*m = l. What is v in -1/2*v**3 - 1/2*v**t + 0 + 0*v = 0?
-1, 0
Let s = 28 - 27. Let r(w) be the first derivative of 2/33*w**3 - 2/11*w**2 + s + 2/11*w. Factor r(f).
2*(f - 1)**2/11
Let s(j) = j**2 + j + 1. Let l(t) = 6*t**2 + t + 8. Let f(i) = l(i) - 5*s(i). Find c such that f(c) = 0.
1, 3
Let c(h) be the third derivative of -h**6/40 + h**4/2 - 38*h**2. Let c(k) = 0. Calculate k.
-2, 0, 2
Let z be (0 + 0)/(4/(-2)). Let l(m) be the third derivative of m**2 + 1/60*m**5 + 0*m**3 + z*m + 0 - 1/24*m**4. Solve l(i) = 0.
0, 1
Let f(q) be the third derivative of -q**7/70 - 3*q**6/10 - 27*q**5/10 - 27*q**4/2 - 81*q**3/2 - 2*q**2. Factor f(p).
-3*(p + 3)**4
Let q(k) be the first derivative of k**5/300 + k**4/120 - k**3/15 - 2*k**2 - 3. Let y(n) be the second derivative of q(n). Determine w, given that y(w) = 0.
-2, 1
Let f(s) = -s**2 - 6*s - 4. Let c be f(-4). Factor -4/5*g**3 + 4/5*g**2 - 2/5*g**c + 2/5*g**5 - 2/5 + 2/5*g.
2*(g - 1)**3*(g + 1)**2/5
Let m(o) be the second derivative of -1/15*o**4 + 0 - o + 1/15*o**3 + 0*o**5 + 0*o**2 + 2/75*o**6 - 1/105*o**7. Factor m(l).
-2*l*(l - 1)**3*(l + 1)/5
Let w(j) = -j**2 + j - 3. Let y be w(0). Let l = 0 - y. Find q such that 1/4 - 1/2*q**2 + 1/4*q - 1/2*q**l + 1/4*q**4 + 1/4*q**5 = 0.
-1, 1
Let o(h) be the third derivative of -3*h**8/392 - 2*h**7/245 + 11*h**6/420 + 2*h**5/105 - h**4/21 + 9*h**2. What is f in o(f) = 0?
-1, 0, 2/3
Let y(q) be the first derivative of -q**4/2 + 4*q**3/3 - q**2 + 3*q - 6. Let i(w) be the first derivative of y(w). Find r such that i(r) = 0.
1/3, 1
Let g(f) be the third derivative of -f**5/210 + f**4/42 + 5*f**2. Find q, given that g(q) = 0.
0, 2
Suppose 1/4*o + 0 - 1/4*o**4 + 1/4*o**2 - 1/4*o**3 = 0. Calculate o.
-1, 0, 1
Let b(c) = c**4 + c**2 - c + 1. Let w = -1 - -3. Suppose 2*q = -w*q + 4. Let j(r) = -r**4 - r**3 + 3*r**2 + 1. Let o(p) = q*j(p) - b(p). Factor o(g).
-g*(g - 1)*(g + 1)*(2*g + 1)
Let k(r) be the second derivative of r**5/20 - r**4/2 + r**3 - r**2/2 + r. Let n be k(5). Determine x, given that -2*x + 2*x**3 - n*x**3 + x**5 + 3*x = 0.
-1, 0, 1
Let q(b) be the first derivative of -1/120*b**5 - b**2 + 0*b + 1/12*b**3 + 0*b**4 - 2. Let m(y) be the second derivative of q(y). Factor m(p).
-(p - 1)*(p + 1)/2
What is j in -4*j**2 + 12*j**2 - 28 + 2*j**3 - 48*j - 4 + 10*j**3 = 0?
-2, -2/3, 2
Let b = -199 + 1397/7. Factor 2/7*i**4 + 4/7*i**3 - b*i + 0*i**2 - 2/7.
2*(i - 1)*(i + 1)**3/7
Let t be (0 - (-6)/(-4))*6. Let k = -7 - t. Determine g, given that 0*g**k - 2/7*g + 0 + 2/7*g**3 = 0.
-1, 0, 1
Determine g so that 5/2*g + 1/2*g**3 + 2*g**2 + 1 = 0.
-2, -1
Suppose 3 = w - 2. Solve -v + 2*v**5 + 0*v**5 + 2*v**4 + 2 - w*v**3 - 4*v**2 + v**3 + 3*v = 0.
-1, 1
Let f(j) be the second derivative of -j**5/5 + 11*j**4/12 - 5*j**3/6 - j**2 + 4*j. Factor f(m).
-(m - 2)*(m - 1)*(4*m + 1)
Let j = 164 + -161. What is o in -2/5*o**4 - 2/5 + 0*o**j + 0*o + 4/5*o**2 = 0?
-1, 1
Let b(v) = 2*v**2 + 2*v - 4. Let c(q) = -2*q**2 - q + 3. Let h = -18 + 15. Let d(s) = h*b(s) - 4*c(s). Factor d(x).
2*x*(x - 1)
Let r(w) be the first derivative of -w**6/3 - 4*w**5 - 39*w**4/2 - 148*w**3/3 - 68*w**2 - 48*w + 8. Factor r(m).
-2*(m + 1)*(m + 2)**3*(m + 3)
Let z(v) = 7*v**3 - 9*v**2 + 2*v + 5. Let g(i) = -8*i**3 + 10*i**2 - 2*i - 6. Let x(k) = 5*g(k) + 6*z(k). Let x(b) = 0. What is b?
0, 1
Find a, given that -64*a**2 - 3*a**4 + 4*a**4 + 65*a**2 + 2*a**3 = 0.
-1, 0
Suppose -12 = -4*q + 4*s - 4, -3*q = -s - 2. Let j = q + 0. Solve 2/5*g**2 + j + 2/5*g = 0.
-1, 0
Suppose -5*n + 3 = -7. Factor -4*k + 2*k**2 - 3*k**n + 3*k.
-k*(k + 1)
Let v(i) be the second derivative of 0 - 1/25*i**5 + 0*i**2 + 3*i + 0*i**3 + 1/30*i**4 + 1/75*i**6. Find u such that v(u) = 0.
0, 1
Let p(a) be the second derivative of -a**9/35280 + 3*a**8/15680 - a**7/2940 + a**4/12 + 4*a. Let z(u) be the third derivative of p(u). Factor z(s).
-3*s**2*(s - 2)*(s - 1)/7
Suppose -8*c + 10*c - 4 = 0. Suppose v - c*y = -2*v, v - 5*y = 0. Suppose -10/3*w**2 + 2/3 + 8/3*w**4 + 0*w + v*w**3 = 0. Calculate w.
-1, -1/2, 1/2, 1
Suppose 3*u - 3 = -3*d, 2*d + 2*d = u + 19. Factor -d - 6 - o**2 - 6 - 6*o + 7.
-(o + 3)**2
Factor -74*z**3 - 5 + 10*z - 76*z**3 + 140*z**3 + 5*z**4.
5*(z - 1)**3*(z + 1)
Let o(h) = h**4 - 11*h**3 - 27*h**2 - 18*h + 3. Let w(x) = -12*x**3 - 28*x**2 - 18*x + 2. Let c(k) = -4*o(k) + 6*w(k). Factor c(y).
-4*y*(y + 1)*(y + 3)**2
Let q = 3 - 1. Solve 0 + 1/5*o - 1/5*o**3 + 0*o**q = 0 for o.
-1, 0, 1
Let g(f) be the third derivative of f**5/150 - f**3/15 + 3*f**2. Factor g(v).
2*(v - 1)*(v + 1)/5
Let y(i) be the second derivative of 0 + 0*i**2 - 1/90*i**5 + 1/54*i**4 + 2/27*i**3 + 6*i. Find l, given that y(l) = 0.
-1, 0, 2
Let f(i) = -7*i**4 + 7*i**3 - 4*i**2. Suppose 0*y + 3 = 3*y. Let a(u) = -u**4 + u**3 - u**2. Let m(g) = y*f(g) - 4*a(g). Factor m(w).
-3*w**3*(w - 1)
Let g(c) be the first derivative of 5/9*c**3 - 13/12*c**4 - 2*c**5 + 0*c + 1/3*c**2 - 2. Let g(z) = 0. What is z?
-1/2, -1/3, 0, 2/5
Let v(l) be the third derivative of -l**8/420 + 4*l**7/525 + l**6/150 - 2*l**5/75 - 13*l**2. What is f in v(f) = 0?
-1, 0, 1, 2
Let j(t) be the second derivative of -t**6/15 - 2*t**5/5 - t**4/2 + 2*t + 15. Factor j(q).
-2*q**2*(q + 1)*(q + 3)
Suppose 0*d + 2*d = 2. Factor 2 - 2*s**3 + 1 - 3*s**2 + 4*s + d + s**4.
(s - 2)**2*(s + 1)**2
Let g(m) be the third derivative of 0 + 0*m**4 - 1/30*m**5 + 1/30*m**6 - 1/420*m**7 + 0*m**3 + 5*m**2 + 0*m - 1/224*m**8. Find p, given that g(p) = 0.
-2, 0, 2/3, 1
Suppose -8 = -4*g - 0*g. Determine y, given that -3 - y - y + 3 - 6*y**3 + g*y**4 + 6*y**2 = 0.
0, 1
Suppose -x = -0*x - 9. Let u = x + -17/2. Factor u - 3/2*f - 1/2*f**3 + 3/2*f**2.
-(f - 1)**3/2
Factor -2*p - 13*p**3 - 4*p**2 + 12*p**2 - 2*p + 9*p**3.
-4*p*(p - 1)**2
Let g(n) be the second derivative of 1/2*n**3 + n**2 + 1/12*n**4 + 0 + 2*n. Factor g(x).
(x + 1)*(x + 2)
Let q(u) be the first derivative of 1/5*u**5 - 1/4*u**4 - 3 - 1/2*u - 1/6*u**3 - 1/24*u**6 + 5/8*u**2. Solve q(o) = 0 for o.
-1, 1, 2
Let x(y) = 2*y**3 - 3*y**2 + 2*y + 2. Let t be x(2). Let k be t/2*2/5. Let 2/3 - 4/3*u + 2/3*u**k = 0. What is u?
1
Let x(u) = -2*u - 5. Let m be x(-3). Let s be (1 - m)*(-1)/(-2). Find o, given that 1/4*o**3 + 0*o - 1/4*o**2 + s = 0.
0, 1
Factor -12/13 + 2/13*d + 2/13*d**2.
2*(d - 2)*(d + 3)/13
Find j such that -4/3*j**3 - 4/3*j + 1/3*j**4 + 2*j**2 + 1/3 = 0.
1
Let m(w) be the second derivative of 0 + 0*w**2 + 0*w**3 - 1/105*w**6 - 4*w - 1/21*w**4 + 3/70*w**5. Factor m(j).
-2*j**2*(j - 2)*(j - 1)/7
Let o(j) = 13*j**2 + 4*j. Let r be 1/((-15)/(-12) + -1). Let d(x) = x**2 - x. Let y(z) = r*d(z) + 2*o(z). Factor y(v).
2*v*(15*v + 2)
Factor 6*q**4 - 2*q**5 - 4*q**3 - 4*q**2 + 2*q - 6*q + 10*q - 2.
-2*(q - 1)**4*(q + 1)
Let l(a) be the second derivative of -a**7/13860 - a**4/12 - 3*a. Let c(g) be the third derivative of l(g). Let c(q) = 0. Calculate q.
0
Let l(y) = y + 1. Let k be l(1). Let w(r) be the third derivative of 1/360*r**6 + 0*r**3 - 1/630*r**7 - r**k + 0 + 0*r + 0*r**5 + 0*r**4. Factor w(c).
-c**3*(c - 1)/3
Let d(r) be the second derivative of 5*r**4/12 - 5*r**2/2 - 13*r. Suppose d(t) = 0. What is t?
-1, 1
Let x(y) be the third derivative of y**7/1470 + y**6/280 + y**5/420 - y**4/56 - y**3/21 - y**2. Find a, given that x(a) = 0.
-2, -1, 1
Let z be (-2 - -1)/((-2)/(-66)). Let y = -30 - z. What is x in -1/3*x + 1/3*x**y - 1/3*x**2 + 1/3 = 0?
-1, 1
Let b(u) = -3*u**3 - 9*u**2 - 5*u + 5. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1
Expand (-2 + 2 - 53*c)*(-4 + 2 - 3)*(3*c + 3*c - 4*c).
530*c**2
Expand (-4 + 0 + 2 + (7 - 4 - 1)*(0 + 3 - 4))*(15*q**2 - 5*q**2 + 3*q**2).
-52*q**2
Expand (-1 + 0 + 3)*(0*u**4 + 0*u**4 - u**4) + 2416*u**4 - 770*u**4 - 640*u**4.
1004*u**4
Expand (0*u**2 - 4*u**2 + 2*u**2)*(-5*u + 9*u + 8*u)*(1 + 4 - 4)*(-2 + 1 + 0).
24*u**3
Expand (-2 - d**2 + 2)*(0*d**2 - 4*d**2 + 2*d**2 + (-3*d + 2 - 2)*(5*d - 4*d - 2*d)) + (3*d - d + d)*(5*d**3 - 3*d**3 + 0*d**3).
5*d**4
Expand (3*k - 5*k + 4*k)*(9*k - 129*k - 103*k).
-446*k**2
Expand (p**2 + 3*p**2 - 3*p**2)*((-2 + 0 + 0)*(-4*p + 2*p + 0*p) + 30 - 30 + 2*p - 3*p - 3*p + 2*p)*(-5 + 4*p + 5 + p**2).
2*p**5 + 8*p**4
Expand (-z + 3*z + 0*z)*(58*z**3 + 8870*z - 8870*z).
116*z**4
Expand (i**2 - i**2 + 2*i**2)*(3 - 4 - 15*i - 18*i - 4*i**2).
-8*i**4 - 66*i**3 - 2*i**2
Expand (-c + 2*c + 0*c)*(-1 - 2*c + 1) + 47*c**2 - 27*c**2 - 44*c**2.
-26*c**2
Expand (-9 + 2*o**4 - 171*o**3 + 171*o**3)*(-1 + 3 + 2).
8*o**4 - 36
Expand (-3*r**3 - 53*r**3 + 106*r**3)*(1 - 1 + 1)*(-1 - 2 + 0).
-150*r**3
Expand (-56*r + 32*r - 2*r)*(-r + 3*r**4 + 4*r**4 - 6*r**4) - 3 + 3 + 2*r**2 + 2*r**5.
-24*r**5 + 28*r**2
Expand (0*d + 2*d**2 - 7*d - 6*d**2)*(4 - 3 + 1)*(-1 + 3 + 1).
-24*d**2 - 42*d
Expand 3*i**2 - 2*i**4 - 3*i**2 + (4*i**2 + 0*i**2 - 5*i**2)*(2*i - i**2 - 2*i) + (4*i + 4*i - i**3 - 10*i)*(0 + i + 0).
-2*i**4 - 2*i**2
Expand (2516 + 2537 - 5049 - b + (0 + 0 + 2*b)*(-3 - 1 + 5))*(-2*b + 3 - 3).
-2*b**2 - 8*b
Expand (-3 - 1 + 2)*(-3*k - 2 + 2) + (-4*k + 4*k - 2*k)*(-4 + 3 + 3) + 18*k + 18*k + 38*k.
76*k
Expand (0 + 0 + 2)*(-4 + 4 + 1)*(0*r + 3*r - 4*r)*(0 + 2 - 3)*(11*r + 12*r - 17*r).
12*r**2
Expand (-4*w - 11*w + 5*w)*(-2*w**2 + w - w)*(-22 - 5 - 18).
-900*w**3
Expand (-2*z + 5*z + 0*z)*(-z**2 - 2*z**2 + 5*z**2)*(19*z - 4*z + 1 - 7*z).
48*z**4 + 6*z**3
Expand (k - 5*k + k)*(-k**3 - 2*k**3 + 5*k**3) + 1 - 1 - 2*k**4 + (0*k + 2*k - k)*(0*k**3 - 4*k**3 + 6*k**3) + 46 + 24*k**4 - 46.
18*k**4
Expand -3 + 3 - 2*l**2 + (0 + 0 + 2*l)*(-3*l - 2*l + 4*l) + (0*l**2 + 2*l**2 + 0*l**2)*(0 + 5 - 3) + 9*l**2 + 6*l**2 - 4*l**2.
11*l**2
Expand (183*q - 371*q - 379*q - 80*q)*(-2 + 3 + 0).
-647*q
Expand (199 - 147 + 418)*(-4*p + p + p)*(p - 1 + 1).
-940*p**2
Expand (-2*x**2 + 4*x**2 - 3*x**2 + (2*x - 4*x + x)*(-3*x - 2*x + 3*x) + 0*x - 3*x**2 + 0*x)*(-28*x - 22*x + 22*x).
56*x**3
Expand (-3 + 6 - 1)*(5 - 5 + g)*(30 - 2*g + 25*g**2 - 10 - 29).
50*g**3 - 4*g**2 - 18*g
Expand (3*i**3 + 0*i**3 - 5*i**3 + i**4)*(-9 + 5*i + 2 + 2).
5*i**5 - 15*i**4 + 10*i**3
Expand (108*z + 297*z + 10*z)*(-z**3 - 4 + 4).
-415*z**4
Expand (27 - 40 + r + 51)*(0*r + 0*r - r**2).
-r**3 - 38*r**2
Expand ((2*u - 1 + 1)*(-1 + 0 + 3) + 4*u - 4*u + 3*u - u - 4*u + 22*u)*(-u + u - 2*u**3).
-48*u**4
Expand (0 + 0 + 2*g)*(4 - 2 + 0) - 2*g - g + 5*g - g + 0*g + 2*g + (3 - 3 - 2)*(0*g - 2*g + 0*g) + 6*g - 3*g - g + 63*g + 18*g + 16*g.
110*g
Expand (29*l**2 - 215*l + 215*l)*(-4 + 3 + 0 - 1 + 1 - 1 - 1 - 1 + 3 + (-2 + 1 + 2)*(0 + 0 - 1) + 0 + 1 - 3 - 6 + 3 + 2 - 3 + 2 + 0).
-174*l**2
Expand (4 - 3 + 5)*(3 - 3 + 3)*(-331*n + 331*n - 23*n**4).
-414*n**4
Expand (41 + 36 - 22 + 0 + 1 + 0 + (3 - 4 - 1)*(5 - 4 - 2) - 3 - 2 + 6)*(-t - 3*t + t).
-177*t
Expand (-16*o**2 - 11*o**2 - 5*o**2)*(4 - 5 + 0 - 10*o).
320*o**3 + 32*o**2
Expand (0 + 0 - 2*t)*((2 + 3 - 6)*(2*t + 0*t - t) + 39*t + 7 - 5 - 27*t + (0 + 0 + 2)*(-t - 2 + 2)).
-18*t**2 - 4*t
Expand w**2 - 2 + 2 + (2 + 2 - 5)*(-5*w**2 - 2*w**2 + 3*w**2) - 6 - 8*w**2 + 6 + (-1 - 1 + 0)*(w**2 + 2*w**2 - 2*w**2).
-5*w**2
Expand (0 - 6 + 3 - 2*t)*(-t**2 + 5*t**2 + 0*t**2) - t**3 + 3*t**3 + 0*t**3.
-6*t**3 - 12*t**2
Expand (-5*n**2 + 3*n**2 + n**2)*(-3 - 4 + 3) + n**2 + 43 - 43.
5*n**2
Expand ((2*t + 0*t - t)*(5*t - 5*t - t**3) - 6*t + 29*t**4 + 6*t)*(4*t + 54 - 60 + t).
140*t**5 - 168*t**4
Expand (-37*h - 85 + 85)*(h**2 + 0*h**2 + 4*h**2).
-185*h**3
Expand (6*i**4 - 4 + 4)*(0*i - 3*i + i + (i + i + i)*(2 + 0 - 3)).
-30*i**5
Expand -17*l + 0*l - 12*l + (0*l - 4*l + 6*l)*(0 - 2 + 1) + 4*l - l - 2*l.
-30*l
Expand (-64 + 15 - 59)*(3 - 1 + 0)*(2*h - 2*h - 2*h).
432*h
Expand (-1 - 2 + 1)*(23*o + 6*o - 14*o) + o + 3*o - o.
-27*o
Expand (-14 - 92 + 45)*(-4 + z + 4 + (3*z - 3*z - 2*z)*(4 - 1 - 1) - z + z - z).
244*z
Expand (4*o**4 + 3*o**4 - 5*o**4)*((1 + 3 - 3)*(-2 + 2 - 3) + 3 - 2 + 3)*(-4*o + 2*o + 3*o).
2*o**5
Expand 11*c + 39*c + 5 - 22 + 13 + 5*c - c + 0*c + (2 + c - 2)*(4 - 6 + 0).
52*c - 4
Expand -19 - 3*l - 20 - 2*l**2 + 41 + 5*l**2 + l**2 - 3*l**2 + (-2 + 2 + 1)*(2 - 2 + l**2).
2*l**2 - 3*l + 2
Expand 4*q**2 - 3*q**2 - 4*q**2 - 13*q + 13*q - 10*q**2 - 2 + 2 - 2*q**2 + (-2 + 2 + 2*q)*(0*q + 6*q - 4*q) + 0*q**2 + q**2 + q**2.
-9*q**2
Expand (4*r**3 - 2*r**3 - r**3)*(-796*r**2 - 93*r**2 + 490*r**2 - 728*r**2).
-1127*r**5
Expand 279*c**3 - c**5 - 279*c**3 - 2*c**5 + 0*c**5 + 0*c**5 + (c**4 + 0 + 0)*(4*c - 3*c - 3*c) + 0*c**2 + 0*c**2 + c**5.
-4*c**5
Expand 2*d**5 - 3*d**5 - d**5 + (4*d - 4*d + 2*d)*(-4*d**4 + 4*d**4 + d**4) - 4*d**5 - 3 + 3 - d**5 + d**5 + 2*d**5 - 13*d**5 + 18*d**5 - 27*d**5.
-24*d**5
Expand (-2*w + 5*w + w)*(3*w**3 - 3*w**3 - 2*w**4) + (-2*w**2 - 2*w**2 + 2*w**2)*(99*w**2 - 99*w**2 - 53*w**3).
98*w**5
Expand (-k + k**2 + k)*(91 + 17*k**2 - 91) + 17*k**3 + 1 - 6*k**4 - 17*k**3.
11*k**4 + 1
Expand (-221*k - 381*k + 328*k)*(k - k + 2*k**2).
-548*k**3
Expand (13*t + 616 + 57*t - 616)*(-6*t + t - 3*t).
-560*t**2
Expand -d + d - 2*d**3 + (3*d**2 + 0*d**2 + 7*d**2)*(5*d - 3*d - 3*d).
-12*d**3
Expand (88*x**3 - 117*x**3 - 135*x**3)*(19*x - 8*x - x**2 - 14*x).
164*x**5 + 492*x**4
Expand (3 - 3 - 1)*(-23*k - 116 + 116 + (-5*k - k + 5*k)*(3 - 6 + 2)).
22*k
Expand (-6747*p + 6748*p + p**4 - 3*p**2 + 4*p**2)*(-p - 2 + 2).
-p**5 - p**3 - p**2
Expand -4*c**3 + 0*c**3 + 3*c**3 + (2*c + 0*c - 4*c)*(4*c**2 + 3*c**2 - c**2).
-13*c**3
Expand (-7*q**4 - 8*q**4 - 3*q**4 + (-q**2 + 1 - 1)*(3*q**2 - q**2 - q**2))*(-4*q + 2*q + q) - 45*q**5 + q + 43*q**5 + q.
17*q**5 + 2*q
Expand (-3*d**4 + 3*d**4 + d**5)*(-625 + 87 + 28).
-510*d**5
Expand (-2*y + 0*y + 0*y)*(1 - 1 - 3*y) + (-3*y**2 - 2*y**2 + 3*y**2)*(-7 + 2 + 3).
10*y**2
Expand 4*k**5 - 1 + 1 + (2 - 1 + 0)*(-k**5 + k**5 - 2*k**5).
2*k**5
Expand (b - 2*b - b)*(2*b - 7*b - 4*b) + 9 - 6*b**2 - 9 - b**2 - b**2 + b**2.
11*b**2
Expand (-9*q + 4*q + 8*q)*(-1 - 2 - 4 + (-1 + 1 + 1)*(0 + 1 + 0)).
-18*q
Expand (3*q - 2*q + q)*(-3*q**3 + 7*q**3 - 3*q**3) - 3*q**4 + 5*q**4 + 7*q**4 - 2*q**4 - q**4 - q**4 + 1 + 2*q**4 - 1.
9*q**4
Expand (3 - 26 - 23)*(2*w - 3*w - w).
92*w
Expand (3096*w - 3089*w + 22 + 32 - 15)*(-3 + 0 + 4).
7*w + 39
Expand (-268 + 268 + 5*z)*(-3*z - z + 1 + 3*z)*(-6 + 2 - 1).
25*z**2 - 25*z
Expand (16 + 5*q - 16)*(2*q - 3*q + 6*q + (q - 6*q + 3*q)*(-4 + 3 + 2) + 2*q - q + 0*q + 8*q + 0*q - 3*q).
45*q**2
Expand (-1 + 1 + g)*(-1 + 0 + 2) + 42*g - 256*g - 279*g.
-492*g
Expand (2*z - 3*z + 2*z)*(8 - 1 - 1) + 0*z + 2*z - z + (2 - 5 + 4)*(0*z - 3*z + 6*z) + (-3*z - z + z)*(-3 + 0 + 1).
16*z
Expand 24*h + 70*h**3 - 24*h + (-h - 2*h + h)*(0*h**2 + 0*h**2 + h**2) + 0*h**3 + 2*h**3 - 3*h**3 + (0 + 0 + h**2)*(4*h + 3*h - 5*h).
69*h**3
Expand (-3*l - 4*l - 2*l)*(10 + 7 - 15 - 9*l)*(1 + 1 - 3)*(0 + 1 + 0).
-81*l**2 + 18*l
Expand (10*f - 12*f**2 - 10*f)*(-3 + 0 + 7).
-48*f**2
Expand ((-2 - 2 + 5)*(2 - 9 + 0) - 2 + 1 + 3)*(-2 + 2 - z).
5*z
Expand (-11*f - f + 2*f)*(3 - 1 - 1) + (f - 2*f + 2*f)*(1 + 7 - 6).
-8*f
Expand (2 - 13 + 4)*(-113 + 205 + 4*l - 5*l).
7*l - 644
Expand (-3 - y + 3)*(1764 - 93 - 4557 - 2351 - 3002).
8239*y
Expand (-g**2 - 3*g**2 + 2*g**2)*(3*g**2 - g**2 + 0*g**2) + 8*g**3 - 8*g**3 + 7*g**4 + 89*g**4 - 58*g**4 + 48*g**4.
82*g**4
Expand (0 - i + 0)*(24 - 16 - 16)*(-16*i + 3*i**2 + 16*i).
24*i**3
Expand 7*d**4 - 11*d**4 - 3*d**4 + (5*d**2 - 5*d**2 - 3*d**2)*(0*d**2 + 2*d**2 + 3*d**2) + (d**2 + 2*d**2 - 4*d**2)*(2*d**2 - 5*d**2 + 10*d**2).
-29*d**4
Expand -2*q**5 + 2*q**5 - 2*q**5 + (2*q + 0*q - 4*q)*(10 - 3 + 5 + (-2 + 2 - 2)*(7 - 3 - 2) + 1 + 0 + 1)*(q**4 + 11*q**2 - 11*q**2).
-22*q**5
Expand (27 - 27 + 3*p)*(-p + p - 2*p + (-5 + 5 + 1)*(-2*p - 3 + 3)).
-12*p**2
Expand ((v - v - 2*v)*(2 + 0 - 5) + 4*v + 7*v - 5*v)*(4 - 3 - 2) + (v + 4*v - 3*v)*(0 + 3 - 4) - 2*v - 2*v + 5*v + v - v + v + (0 + 4 - 2)*(-1 + 1 - 2*v).
-16*v
Expand (2 + 2 - 3)*(-3*w + 2*w + 2*w) + 6 - 389 + 163 + 3*w.
4*w - 220
|
{
"pile_set_name": "DM Mathematics"
}
|
/70 - 13*d**5/30 - 769*d**2. What is the third derivative of a(b) wrt b?
23832*b
Let q(n) be the third derivative of 1037*n**4/12 + 428*n**3 + 538*n**2. Differentiate q(x) with respect to x.
2074
Let k(j) be the first derivative of 5*j**4 + 5*j**3/3 - 679*j + 57. What is the derivative of k(s) wrt s?
60*s**2 + 10*s
Let x(q) be the third derivative of 677*q**7/30 + 13637*q**4/24 - 22*q**2 + 3*q - 12. Find the second derivative of x(d) wrt d.
56868*d**2
Find the third derivative of -1268 + 0*z - 185 + 1339*z**3 + 2*z**2 - 1811*z**3 - 2186*z**3 - 3*z wrt z.
-15948
Let a = -29226 + 29228. Let i(o) be the first derivative of 0*o**a - 14*o + 29 - 11/3*o**3. What is the first derivative of i(p) wrt p?
-22*p
Suppose 10*v - 5*v - 100 = 0. Differentiate -7*x**3 + 21 - v*x**3 - 12*x**3 + 62 - 10 wrt x.
-117*x**2
Suppose -3*a - 2*u = u - 21, -2*u + 12 = a. What is the second derivative of -8*g**3 - 17*g**4 - 123*g + 13*g**3 - 4*g**3 + 2*g**a - g**3 wrt g?
-204*g**2 + 4
Let f(q) be the first derivative of 347*q**3/3 - 4385*q**2/2 - 2*q + 2745. Find the second derivative of f(s) wrt s.
694
Let g(n) be the first derivative of 0*n**4 + 5/2*n**2 + 11/5*n**5 - 213 + 1/2*n**6 - 13*n + 0*n**3. Find the second derivative of g(z) wrt z.
60*z**3 + 132*z**2
Let i(v) be the third derivative of 143*v**5/10 - 503*v**3/3 - 248*v**2 + v. What is the first derivative of i(s) wrt s?
1716*s
Let j(y) be the third derivative of 706*y**7/105 - 115*y**4/24 + y**3/6 - 4139*y**2. What is the second derivative of j(f) wrt f?
16944*f**2
Differentiate 1602*j**2 + 330 + 192 + 6124*j**2 + 3*j - 3*j with respect to j.
15452*j
What is the derivative of 464 + 7881 - 6798*c**4 - 3218 wrt c?
-27192*c**3
Let s = -120 + 19. Let c = -81 - s. Find the third derivative of -38*r**6 - 11*r**6 + c*r**6 - 20*r**2 wrt r.
-3480*r**3
Let k(v) = 4*v**2 - 19*v + 34. Let g be k(2). Find the first derivative of g*j - 79 + j**2 - 19*j - 12 wrt j.
2*j - 7
Let v(b) be the second derivative of 1/2*b**3 + 0 + 0*b**4 + 3*b**6 - b**2 + 0*b**5 + 103*b. Find the second derivative of v(q) wrt q.
1080*q**2
Let l(o) be the third derivative of -2777*o**5/60 - 293*o**4/2 - 3138*o**2. What is the second derivative of l(t) wrt t?
-5554
Suppose -387 + 105 = -6*n. What is the second derivative of -n*w + 63*w**5 + 3*w**5 - 65*w + 61*w**5 - 21*w**5 wrt w?
2120*w**3
Let w(c) = -2*c + 200. Let a be w(60). What is the first derivative of 22*d**4 - a*d**4 - 41 - 107 - 29*d**4 wrt d?
-348*d**3
Let k(s) = 16158*s - 20177. Let a(f) = -5362*f + 6725. Let j(c) = -8*a(c) - 3*k(c). What is the first derivative of j(i) wrt i?
-5578
Suppose -42 + 30 = -3*o. Suppose y = -5*n + 36, -6*n + o*n + 13 = -y. Find the second derivative of -4*w**3 + n*w - 11*w**3 + 0*w + 4*w wrt w.
-90*w
What is the third derivative of -11*q - 2246*q**2 - 105 + 4449*q**2 - 7512*q**3 - 2205*q**2 wrt q?
-45072
Let f(o) be the second derivative of 7*o**4/12 + o**3/2 - 7*o**2/2 + 10*o. Let k be f(3). Find the second derivative of -k + 5*a**3 + 4*a + 65 - 10*a wrt a.
30*a
Let u = 125 - 121. What is the second derivative of -1090*x + 3*x**u - x**4 - x**5 + 1178*x - 4*x**4 wrt x?
-20*x**3 - 24*x**2
Find the third derivative of 1057*d + 5006*d**3 + 1051*d - 2110*d + 515*d**2 wrt d.
30036
Let y(d) be the second derivative of 20*d - 6*d**2 + 0 - 61/6*d**3. What is the derivative of y(u) wrt u?
-61
Let o(t) be the second derivative of 17/12*t**4 + 0*t**3 + 275/2*t**2 - 10*t - 5. What is the derivative of o(u) wrt u?
34*u
Find the third derivative of 1317*f**3 + 115*f**2 - 4682628*f - 5 + 4682628*f wrt f.
7902
Suppose 21*g = 74*g - 265. Let m(y) be the third derivative of 0*y**4 + 1/5*y**5 + 7*y**2 + 0*y + 0 + g*y**3. Find the first derivative of m(r) wrt r.
24*r
Let l(o) be the first derivative of -68*o**5/5 - 9*o**4/4 + 666*o**3 + o**2 + 4808. What is the third derivative of l(c) wrt c?
-1632*c - 54
Let k = 632 - 622. What is the derivative of -k + 52 + 11*h**2 - 12*h**2 + h**2 - 147*h**3 wrt h?
-441*h**2
Let m(l) be the third derivative of -l**7/70 - 683*l**5/60 + 413*l**4/12 + l**3/3 + 950*l**2 - l. Find the second derivative of m(c) wrt c.
-36*c**2 - 1366
Let h(a) be the third derivative of 1471*a**5/15 - 313*a**4/4 - a**3/2 - a**2 - 5*a - 150. What is the second derivative of h(u) wrt u?
11768
What is the second derivative of 2754*q - 26906*q**2 - 78*q + 6*q**4 + 13520*q**2 + 13454*q**2 wrt q?
72*q**2 + 136
Let g = -16 + 18. Suppose -a = -3*a - g*h + 2, 4*h = 3*a - 10. What is the first derivative of 2*v + 30*v**a - 2*v + 12 - 11*v**2 wrt v?
38*v
Let b(i) be the second derivative of 0*i**3 - 169*i + 1/5*i**5 + 0 - 139/6*i**4 + 0*i**2 - 1/21*i**7 + 0*i**6. What is the third derivative of b(q) wrt q?
-120*q**2 + 24
Find the second derivative of 2*j**3 + 3347 - 77*j**2 + 1189*j - 586*j - 601*j wrt j.
12*j - 154
Let l(g) be the second derivative of 97*g**6/6 - g**5/10 - 564*g**2 + 159*g - 1. What is the derivative of l(y) wrt y?
1940*y**3 - 6*y**2
Let n(g) be the first derivative of -35*g**2 + 0*g**4 + 0*g**3 + 91/5*g**5 + 0*g + 5. Find the second derivative of n(s) wrt s.
1092*s**2
Suppose 100 = 5*s + 2*n, 3*s = n + 42 + 7. What is the second derivative of -s*h**2 - 5*h**2 - h + 0*h + 4*h + 3*h**4 - 8 wrt h?
36*h**2 - 46
Let y(o) = 3*o**2 - 76*o - 1287. Let r(c) = -5*c**2. Let d(u) = -3*r(u) - y(u). What is the derivative of d(j) wrt j?
24*j + 76
Let j be (413/28)/((-1)/(-4)). Let q = 70 - j. Differentiate 26 - q*o**2 - 4*o**2 - 5*o**2 with respect to o.
-40*o
Let d(v) = -25. Let r(o) = -5307*o + 5666. Let l(n) = -5*d(n) + r(n). What is the derivative of l(i) wrt i?
-5307
Let c(v) be the second derivative of 327*v**5/10 - v**3/6 + 596*v**2 + 3261*v. Differentiate c(x) with respect to x.
1962*x**2 - 1
Find the third derivative of -1013*j**6 + 20477*j**2 - 11011*j**2 - 11104*j**2 wrt j.
-121560*j**3
Let u(f) = -3*f + 36. Let a be u(12). Find the first derivative of -2*g - g**2 + a*g**2 - 32 - 35*g + 87 + 45 wrt g.
-2*g - 37
Let y(o) = -2*o - o + 10*o + 12 + o**2. Let l be y(-6). Find the third derivative of -161*f**3 - l*f**2 + 163*f**3 - 8*f**2 wrt f.
12
Suppose -i + 89 = -8. What is the third derivative of -7 - i*z**5 - 27*z**2 - 22*z**2 + 42*z**2 wrt z?
-5820*z**2
Let r = 95 - 90. What is the second derivative of 59*a**5 - 16*a**5 - 3 + 22*a**r - 4 + 5*a wrt a?
1300*a**3
Let g(x) be the first derivative of 5045*x**4/4 - 29*x**3 - 7*x**2/2 - 6858. Find the third derivative of g(w) wrt w.
30270
Let a(r) be the third derivative of -r**2 + 0*r + 0*r**4 - 109/60*r**5 + 0*r**3 - 29/120*r**6 + 4. Find the third derivative of a(u) wrt u.
-174
Let a(i) = -14*i**3 - 15*i**2 - 1869*i. Let v(r) = 21*r**3 + 24*r**2 + 2802*r. Let l(n) = -8*a(n) - 5*v(n). What is the second derivative of l(x) wrt x?
42*x
Let u(y) be the second derivative of 0*y**6 + 0*y**2 - 33*y + 0*y**4 - 1/2*y**3 + 0*y**5 + 151/42*y**7 + 0. Find the second derivative of u(k) wrt k.
3020*k**3
Find the third derivative of j**2 - 2*j**4 + 10*j**2 - 12*j**2 + 332*j + 410*j**6 + 5*j**3 - 4*j**3 wrt j.
49200*j**3 - 48*j + 6
Find the second derivative of 583*k**2 + 6 - 4676*k**2 - 1593*k**2 - 33*k + 742*k**2 wrt k.
-9888
Let l(c) = -c**2 - 14*c - 19. Let r be l(-12). What is the second derivative of -20*d - 5*d - 1 - 49*d**r + 2*d - 1 wrt d?
-980*d**3
Let r(p) be the third derivative of -1469*p**6/60 + p**5/60 + 47*p**4/24 - p**3/6 - 344*p**2 - 2*p + 1. Find the third derivative of r(a) wrt a.
-17628
Let k(m) be the third derivative of 0*m**4 - 31*m**2 + 0 + 0*m**6 + 61/60*m**5 + 0*m**3 + 0*m**7 + 0*m - 25/336*m**8. Find the third derivative of k(l) wrt l.
-1500*l**2
Suppose 0 = -13*o + 21*o - 40. What is the third derivative of -87*p**3 + 94*p**2 + 19*p**3 + p**o + 47*p**2 - 2*p**5 + 14*p**2 wrt p?
-60*p**2 - 408
Suppose 11*w = 12*w + 2*y - 62, 4*w + 5*y = 245. What is the derivative of -8*u + 8*u + 205*u**3 + w*u**3 + 124 wrt u?
795*u**2
Suppose 5*v = 11*w - 9*w + 268, 120 = 2*v - 4*w. What is the third derivative of v*n**2 + 161*n**3 + 18*n**2 + 71*n**3 + 0*n**2 wrt n?
1392
Let p = 528 + -533. Let m(j) = -115*j + 17. Let y(i) = 172*i - 25. Let t(c) = p*y(c) - 7*m(c). Differentiate t(b) wrt b.
-55
Let w = 4 + 80. Find the third derivative of 71*l**3 + 69*l**3 - l**2 - 140*l**3 - w - 151*l**5 wrt l.
-9060*l**2
Let t b
|
{
"pile_set_name": "DM Mathematics"
}
|
when 7197388 is divided by 38.
36
What is the remainder when 11734 is divided by 97?
94
What is the remainder when 4889 is divided by 39?
14
What is the remainder when 1760 is divided by 1472?
288
What is the remainder when 119442 is divided by 26?
24
What is the remainder when 257927 is divided by 257916?
11
Calculate the remainder when 1268952 is divided by 163.
160
Calculate the remainder when 47234 is divided by 28.
26
Calculate the remainder when 193027 is divided by 107.
106
Calculate the remainder when 9949 is divided by 166.
155
Calculate the remainder when 5585 is divided by 2515.
555
What is the remainder when 28762 is divided by 533?
513
Calculate the remainder when 181354 is divided by 437.
436
What is the remainder when 23986 is divided by 103?
90
What is the remainder when 10121 is divided by 5057?
7
Calculate the remainder when 82897 is divided by 199.
113
What is the remainder when 902 is divided by 747?
155
Calculate the remainder when 54608 is divided by 54504.
104
What is the remainder when 21146 is divided by 17?
15
What is the remainder when 3260 is divided by 234?
218
Calculate the remainder when 71275 is divided by 8.
3
Calculate the remainder when 247015 is divided by 1790.
1785
Calculate the remainder when 911 is divided by 106.
63
What is the remainder when 595468 is divided by 690?
688
Calculate the remainder when 32300 is divided by 62.
60
Calculate the remainder when 33414 is divided by 1282.
82
Calculate the remainder when 579 is divided by 49.
40
Calculate the remainder when 1455 is divided by 819.
636
What is the remainder when 74601 is divided by 352?
329
What is the remainder when 44883 is divided by 43?
34
What is the remainder when 131746 is divided by 59?
58
Calculate the remainder when 7845 is divided by 88.
13
What is the remainder when 3077 is divided by 506?
41
What is the remainder when 4613975 is divided by 36?
35
What is the remainder when 34226 is divided by 5703?
8
Calculate the remainder when 115157 is divided by 27.
2
What is the remainder when 21541 is divided by 5383?
9
Calculate the remainder when 200465 is divided by 899.
887
Calculate the remainder when 1804 is divided by 232.
180
What is the remainder when 16863 is divided by 8264?
335
Calculate the remainder when 9078 is divided by 4501.
76
Calculate the remainder when 523442 is divided by 38.
30
What is the remainder when 15237 is divided by 121?
112
What is the remainder when 89881 is divided by 1473?
28
Calculate the remainder when 24225 is divided by 1614.
15
Calculate the remainder when 18446 is divided by 4579.
130
Calculate the remainder when 34596 is divided by 678.
18
Calculate the remainder when 1580 is divided by 146.
120
What is the remainder when 3465 is divided by 861?
21
What is the remainder when 36829 is divided by 36828?
1
What is the remainder when 6222 is divided by 98?
48
Calculate the remainder when 3025 is divided by 1463.
99
What is the remainder when 31282 is divided by 1808?
546
What is the remainder when 59794 is divided by 636?
10
Calculate the remainder when 5241 is divided by 268.
149
Calculate the remainder when 561468 is divided by 11.
6
What is the remainder when 16711 is divided by 29?
7
What is the remainder when 323005 is divided by 103?
100
What is the remainder when 7843612 is divided by 194?
192
Calculate the remainder when 3982 is divided by 94.
34
What is the remainder when 16483 is divided by 1740?
823
What is the remainder when 1359 is divided by 177?
120
What is the remainder when 210980 is divided by 447?
443
What is the remainder when 12642 is divided by 95?
7
Calculate the remainder when 5839 is divided by 223.
41
What is the remainder when 27227 is divided by 649?
618
What is the remainder when 53521 is divided by 17795?
136
What is the remainder when 144249 is divided by 79?
74
Calculate the remainder when 2360 is divided by 608.
536
What is the remainder when 28420 is divided by 14197?
26
What is the remainder when 215791 is divided by 253?
235
Calculate the remainder when 349018 is divided by 37.
34
Calculate the remainder when 174980 is divided by 12.
8
Calculate the remainder when 2606 is divided by 272.
158
Calculate the remainder when 464703 is divided by 13277.
8
What is the remainder when 3981935 is divided by 336?
335
Calculate the remainder when 4037 is divided by 801.
32
What is the remainder when 14206 is divided by 142?
6
What is the remainder when 58917 is divided by 178?
177
What is the remainder when 3555 is divided by 604?
535
What is the remainder when 5298 is divided by 1410?
1068
What is the remainder when 5246 is divided by 1726?
68
What is the remainder when 6056 is divided by 6003?
53
Calculate the remainder when 16529 is divided by 5500.
29
What is the remainder when 123357 is divided by 113?
74
What is the remainder when 4997 is divided by 53?
15
Calculate the remainder when 46142 is divided by 157.
141
What is the remainder when 2145 is divided by 209?
55
Calculate the remainder when 345314 is divided by 110.
24
What is the remainder when 26314 is divided by 571?
48
What is the remainder when 21501 is divided by 74?
41
What is the remainder when 5699 is divided by 129?
23
Calculate the remainder when 25927 is divided by 43.
41
Calculate the remainder when 9250 is divided by 108.
70
What is the remainder when 13797 is divided by 35?
7
What is the remainder when 18662 is divided by 2665?
7
Calculate the remainder when 1487764 is divided by 131.
128
What is the remainder when 3744 is divided by 1245?
9
Calculate the remainder when 2620 is divided by 376.
364
Calculate the remainder when 118 is divided by 24.
22
What is the remainder when 94216 is divided by 23534?
80
What is the remainder when 104203 is divided by 282?
145
What is the remainder when 413 is divided by 192?
29
Calculate the remainder when 166855 is divided by 41712.
7
Calculate the remainder when 3377 is divided by 3363.
14
Calculate the remainder when 3945 is divided by 1310.
15
What is the remainder when 753 is divided by 745?
8
Calculate the remainder when 118858 is divided by 8.
2
What is the remainder when 221667 is divided by 821?
818
What is the remainder when 219772 is divided by 43942?
62
What is the remainder when 401081 is divided by 354?
353
What is the remainder when 4792 is divided by 266?
4
Calculate the remainder when 830 is divided by 281.
268
What is the remainder when 145744 is divided by 5?
4
What is the remainder when 70112 is divided by 458?
38
What is the remainder when 2945 is divided by 1238?
469
What is the remainder when 259538 is divided by 190?
188
What is the remainder when 99094 is divided by 1126?
6
What is the remainder when 626 is divided by 72?
50
Calculate the remainder when 109392 is divided by 452.
8
What is the remainder when 382 is divided by 11?
8
Calculate the remainder when 174481 is divided by 14.
13
Calculate the remainder when 1825605 is divided by 129.
126
Calculate the remainder when 7865 is divided by 393.
5
What is the remainder when 7758 is divided by 35?
23
Calculate the remainder when 10455 is divided by 83.
80
What is the remainder when 615 is divided by 72?
39
Calculate the remainder when 1339 is divided by 519.
301
Calculate the remainder when 20722 is divided by 461.
438
What is the remainder when 1569 is divided by 313?
4
Calculate the remainder when 817071 is divided by 60.
51
Calculate the remainder when 61389 is divided by 30689.
11
Calculate the remainder when 2232216 is divided by 173.
170
What is the remainder when 137511 is divided by 349?
5
What is the remainder when 918146 is divided by 172?
10
Calculate the remainder when 44181 is divided by 22084.
13
Calculate the remainder when 253585 is divided by 22.
13
Calculate the remainder when 7439 is divided by 17.
10
Calculate the remainder when 14521 is divided by 34.
3
What is the remainder when 26605 is divided by 29?
12
What is the remainder when 17515 is divided by 16?
11
Calculate the remainder when 14354 is divided by 417.
176
What is the remainder when 4876 is divided by 188?
176
What is the remainder when 73852 is divided by 23?
22
Calculate the remainder when 27505 is divided by 67.
35
Calculate the remainder when 25355 is divided by 270.
245
Calculate the remainder when 169841
|
{
"pile_set_name": "DM Mathematics"
}
|
Let o be (-28)/(-6) - u/(-15). Suppose -2*x + 12 = -o*x. Sort 0, 1, x in descending order.
1, 0, x
Let m(t) = -t**3 - 4*t**2 - 4*t + 1. Let a be m(-3). Let f = 7 + -4. Sort f, a, -2 in decreasing order.
a, f, -2
Let i be (-3 - -2)*(1 - -2). Let b be (3 + i)/(2/1). Sort 3, 2, b in increasing order.
b, 2, 3
Suppose 2*q = a + 5, a + a + 10 = -q. Sort 0, -1, a, -2 in descending order.
0, -1, -2, a
Let b = -149 - -144. Let y be -1 + 0 + -4 + 2. Put y, -1, b in descending order.
-1, y, b
Let g be 0 - (-3 + (4 - 3)). Sort -2, g, -3 in decreasing order.
g, -2, -3
Suppose -5*o - 4*o - 9 = 0. Sort 3, -5, 1, o in descending order.
3, 1, o, -5
Let q be 0 - 0/(0 + 3). Let h be 1/(q + 2 + -1). Let i(l) = -l**2. Let y be i(h). Sort 5, 4, y in decreasing order.
5, 4, y
Let b(a) = -3*a - 3. Let m(v) = -v. Let s(r) = b(r) - 2*m(r). Let x be s(-4). Suppose -3*n - 10 = q + 5, -17 = 5*n - q. Sort n, x, 3 in decreasing order.
3, x, n
Let b(j) = -j**3 - 4*j**2 + j + 5. Let r be b(-4). Sort 2, -15, r, -5.
-15, -5, r, 2
Suppose 0 = -2*n - 0*n + 10. Suppose 2*v - 16 = 6*v. Sort n, v, 4 in ascending order.
v, 4, n
Suppose 14 = 2*v + 16. Put 5, 1, -7, v in decreasing order.
5, 1, v, -7
Let t = 0 - -2. Let f be ((-36)/30)/(3/(-10)). Sort -5, f, t in increasing order.
-5, t, f
Let z = 3.4 + -0.4. Let w = z - 6. Let v(i) = -6*i - 1. Let d be v(-1). Sort w, 0.4, d in ascending order.
w, 0.4, d
Let d be (-4 - -103)*(-6)/18. Sort -4, 5, d in descending order.
5, -4, d
Suppose -4*x = x + 2*b + 41, 0 = -2*x - 2*b - 20. Let v(o) = -o - 6. Let g be v(x). Sort -1, -3, g in descending order.
g, -1, -3
Let q = -3 + 1. Put 2, -1, -4, q in ascending order.
-4, q, -1, 2
Suppose -8*u - 1 = -1. Sort 13, -4, u, 4 in descending order.
13, 4, u, -4
Let b = 0.7 + -1.7. Put -0.2, b, -4 in ascending order.
-4, b, -0.2
Let w be 5 + -2 + -1*1. Sort w, 5, 0 in descending order.
5, w, 0
Let x be ((-8)/(-24) - -2) + 2/(-6). Sort -3, x, -12 in increasing order.
-12, -3, x
Let f(j) = -j**3 + 8*j**2 + 6*j + 24. Let k be f(9). Put k, 3, -1, -5 in descending order.
3, -1, k, -5
Let m = -0.032 + 0.532. Sort -0.9, m, 5 in decreasing order.
5, m, -0.9
Suppose n + 4 - 9 = 0. Suppose n*c = -0*c. Suppose 0 = 2*u - 4*u + 10, -4*x - u - 15 = c. Sort -3, -2, x.
x, -3, -2
Let a be (-8)/18 + 4/18. Sort 5, 6, a in ascending order.
a, 5, 6
Let b = 12 - 15. Sort b, 0.1, -1 in increasing order.
b, -1, 0.1
Let r = -0.12 - 0.28. Let d = 3.94 + 0.06. Sort r, -1, d in descending order.
d, r, -1
Suppose 3*m - 25 = -2*m. Let n(l) be the second derivative of -l**3/6 - 5*l. Let p be n(m). Put -4, 5, p in descending order.
5, -4, p
Let q = 2.4 - 2.2. Put q, 1, -1/4 in descending order.
1, q, -1/4
Let t be (4/(-590))/((-1)/5). Let c = t + 112/177. Sort -0.1, c, 2/9 in descending order.
c, 2/9, -0.1
Let o(k) = k**3 - 3*k**2 + 3*k. Let b be o(2). Suppose 2*x = -2*n - 8, 5*x - b*n = n - 12. Let u be 7/x - (-2)/(-3). Sort 0, u, 1 in decreasing order.
1, 0, u
Let d = -18 + 24. Put 0.3, -0.1, d, 4 in ascending order.
-0.1, 0.3, 4, d
Let l = 13.9 - 14. Let h = -2 + 0. Put h, l, 5 in increasing order.
h, l, 5
Let x = 0.06 - -4.94. Let y(h) = -h**2 - 23*h - 21. Let z be y(-22). Suppose 0 = 5*r - 4*r. Put r, z, x in decreasing order.
x, z, r
Let d(c) = -c**2 + 7*c - 7. Let j be d(5). Suppose -3*w = -2*w - 4. Sort j, w, -4 in descending order.
w, j, -4
Let m = -7 - -9. Let g be (4/m - 3) + 2. Sort -2, 2, g.
-2, g, 2
Suppose -b - 3*r - 11 = 3*b, 0 = 2*r + 10. Let x be (-12)/(-5) + (-2)/5. Let p = x - b. Sort 3, -5, p in increasing order.
-5, p, 3
Suppose 3*s = -6, p = 6*p - 2*s - 9. Sort -5, p, 8, 5 in decreasing order.
8, 5, p, -5
Suppose -3*b = -4*b. Suppose b = -0*d + 6*d + 6. Sort 0.8, -4, d in descending order.
0.8, d, -4
Suppose 3*j = 5*j - 8. Sort j, -5, -1 in descending order.
j, -1, -5
Let d = 2.7 - 3. Let y = d - -0.8. Let o = y - 0.8. Sort o, 0, 2.
o, 0, 2
Let h(m) = -3*m**2 - m. Let d be h(0). Sort -3, -2, d, 5.
-3, -2, d, 5
Suppose 0 = 7*b - 3*b + 20. Let r = 5.7 + -6. Put b, -2/13, r in decreasing order.
-2/13, r, b
Let m = 0.07 - 3.07. Let d = 2 + m. Suppose -3*x + 4*x = -0*x. Put -2, d, x in ascending order.
-2, d, x
Let u(l) = -2*l + l**3 - 9 + 8*l**2 + 10*l + 12. Let r be u(-7). Put r, 3, -6 in ascending order.
-6, r, 3
Let m = 2.1 + -2.5. Let q = -1 - -0.8. Put 5/4, q, m in ascending order.
m, q, 5/4
Suppose 6 + 4 = 2*z. Suppose -3*k - 26 = -5*n, n + 12 = 4*k + 6*n. Let j(t) = -t. Let f be j(k). Sort f, z, 1 in increasing order.
1, f, z
Let h = -9.5 - -0.5. Let p = h + 6. Let d be ((-1)/3)/(-3 - -2). Put 2, p, d in increasing order.
p, d, 2
Let u be (-3)/(-3) - 1 - 2. Let v be u/(-10) - 3/(-60). Let a be (-39)/(-36) - (-6)/(-8). Put v, a, 2/5 in descending order.
2/5, a, v
Let b(n) = n**2 - 9*n + 4. Let i = 18 + -10. Let w be b(i). Put -3, 0, w in increasing order.
w, -3, 0
Suppose -9*z = -14*z + 5. Suppose -6*t + 29 + z = 0. Sort t, -4, 0.
-4, 0, t
Suppose 0 = w - 4*x + 1, 3*w + 0*x + x + 3 = 0. Sort -6, w, 0.
-6, w, 0
Let c = -12 + 12.8. Let t = c - 1.3. Let y be (1 - 1) + (-4)/(-6). Put 0.5, t, y in decreasing order.
y, 0.5, t
Suppose -4*z - 2 = -2*z. Put 3, -2, z in ascending order.
-2, z, 3
Let m = 26 + -184/7. Let r = 1.03 - 0.03. Put r, 0, m in ascending order.
m, 0, r
Let m = 14 - 13.6. Put m, -0.1, -5 in descending order.
m, -0.1, -5
Let i(m) = m**3 - 3*m**2 - 4*m + 2. Let k be i(4). Let c = -4 + k. Put c, 4, 3 in decreasing order.
4, 3, c
Let m = 8 + -5. Suppose -m*f + 2 = -2*f. Sort f, 5, -5 in descending order.
5, f, -5
Let u be 15/(-126) - 4/(-14). Let i = -0.37 + 0.37. Let k = -9 - -10. Sort i, u, k.
i, u, k
Suppose 3*t = 2*t + 1. Suppose k - 4*k = -66. Suppose -2*o - 3*r = k, -2*r + 3*r = -o - 9. Sort t, -3, o in ascending order.
o, -3, t
Let h(u) = u**2 - 5*u - 1. Let w be h(6). Let d be (4/4)/((-1)/2 + 1). Sort d, w, -2 in decreasing order.
w, d, -2
Let a = -0.1 + 0.14. Let b = a + 1.96. Sort b, 3/7, 4 in increasing order.
3/7, b, 4
Let c = -28 - -17. Let s = c - -10.8. Let b = 11 + -16. Sort s, -2, b in decreasing order.
s, -2, b
Suppose -3*x + x = 0. Let i(q) = q - 5. Let o be i(4). Let a be 34/10 - 2/5. Put a, x, o in decreasing order.
a, x, o
Let y = 34 + -41. Sort y, 0.3, 1/4.
y, 1/4, 0.3
Let j be (-2)/2*2 - -7. Let p = 76 - 115. Let g be 4/p*(-6)/4. Sort j, g, -2 in decreasing order.
j, g, -2
Suppose 3*y + 6 = -3*k, -3*k = 5*y - 0*y + 2. Put 8, -2, y in ascending order.
-2, y, 8
Suppose 2*k - u - 5 = 0, 0*u + 5*u + 1 = -2*k. Let i = -0.4 + 0.3. Let v = 11 + -11.5. Sort i, v, k.
v, i, k
Let n be 1 - 3 - (-1)/1. Let p = -227/72 + 27/8. Put n, -0.5, p in descending order.
p, -0.5, n
Let p = -74/255 - -8/51. Let t(k) = -4*k + 15. Let f(o) = -o + 4. Let z(b) = -22*f(b) + 6*t(b). Let l be z(2). Sort l, p, 4 in ascending order.
l, p, 4
Let y = 2.2 - 0.6. Let x = -0.6 + y. Put x, -0.1, 2/11 in descending order.
x, 2/11, -0.1
Let n be (-3)/(-2)*(-5)/20. Sort 0.4, -0.2, n.
n, -0.2, 0.4
Let q(n) = -238*n + 1. Let o be q(1). Let i = o + 2131/9. Sort 0.5, 0.2, i.
i, 0.2, 0.5
Let z = 4 + -2. Suppose -q - 7 = -z. Suppose 5*j - 2*j = 6. Sort 0, j, q in increasing order.
q, 0, j
Let t = -0.52 - -0.22. Let c be 3/(-3) - (-3)/5. Sort t, -1, c in increasing order.
-1, c, t
Let l = 79/252 - 1/36. Sort -1, l, -1/6 in decreasing order.
l, -1/6, -1
Let t be ((-12)/(-16))/(6/(-4)). Let v = 1 + t. Sort 6/11, 0, v.
0, v, 6/11
Let h = 6.4 - 7. Let y = h + 1. Let v be 55/15 + (-2)/3. Put y, v, -4 in ascending order.
-4, y, v
Let q be (-1)/(-1) - (-2)/2. Suppose 3*u + 5 = 2*i, -7*i - 15 = 3*u - 4*i. Sort u, q, 0.
u, 0, q
Let d = 6 + -6. Let o = d - -2. Put o, -3, -6 in decreasing order.
o, -3, -6
Let g = 41 + -42. Put -3, g, -4, -5 in decreasing order.
g, -3, -4, -5
Let j(x) = -x**2 + 5*x - 4. Let q be j(3). Let a(o) = -o**2 + 12*o + 5. Let f be a(12). Sort q, f, -4 in descending order.
f, q, -4
Let o be (-10)/(-8)*(-12)/(-20). Suppose -3*z = 2 + 1. Sort -2, z, o in decreasing order.
o, z, -2
Let j(v) = -v**2 - 5*v + 1. Let b be j(-6). Suppose 0 = -0*o - 2*o - 8. Put b, 0, o in increasing order.
b, o, 0
Let g be 2*(-3 - 15/(-10)). Sort -13, -2/21, g in increasing order.
-13, g, -2/21
Let a = 1 - 2. Let k = 7 + -4. Sort a, k, 4 in descending order.
4, k, a
Let l = 0.21 + 7.79. Let u = 9 - 16.7. Let n = l + u. Sort 3, n, 2/13
|
{
"pile_set_name": "DM Mathematics"
}
|
5 + 3)*(-2*c**2 + 0*c + 0*c) - 402 + 4*c**2 + 402.
2*c**2
Expand (-3*y + y + y)*(42*y - 111*y + 57*y).
12*y**2
Expand (3*w**2 + 4*w**2 - 5*w**2)*(6720*w**2 - 3061*w**2 - 2950*w**2).
1418*w**4
Expand (-b + 7323*b**2 + 8 + 6*b - 7319*b**2)*(b - 4*b + 2*b).
-4*b**3 - 5*b**2 - 8*b
Expand (96*a**2 - 212*a**2 + 63*a**2)*(a**2 - 4*a**2 + 2*a**2).
53*a**4
Expand (3 - i**2 - 3)*(-1 + 3 - 4 + (-4 - 1 + 1)*(1 + 0 - 3)).
-6*i**2
Expand (10*i + 11*i - 8*i)*(-i**2 - i**2 + i**2) + (-3*i + 2*i - i)*(-3*i**2 + 2*i**2 - i**2) - 1 - 2*i**3 + 1 + 2*i**3 - 3*i**3 + 2*i**3 + i.
-10*i**3 + i
Expand (-3 + 2 + 3)*(-1 + 1 + 4*u)*(u + 7*u + 14*u)*(0 + 1 - 3).
-352*u**2
Expand (-3 + 2 + 3)*(-65*y**2 + 65*y**2 - 8*y**4 + (y + 3*y - y)*(0*y**3 - 2*y**3 + y**3)).
-22*y**4
Expand (2 + 81*x**2 + 24*x**2 - 141*x + 143*x)*(11*x**3 - 11*x**3 + 13*x**3).
1365*x**5 + 26*x**4 + 26*x**3
Expand (-4*j + j + j)*(0 + 0 + 3*j) + (-j + 0*j - j)*(3 - 3 + 3*j) - 3*j - j**2 + 0*j - j**2.
-14*j**2 - 3*j
Expand r**2 - 5*r**2 + 5*r**2 + (-7 + 7 + 31*r**2)*(4 - 1 - 1).
63*r**2
Expand (-44*q**2 + q**4 + 44*q**2)*(10 + 17 - 14).
13*q**4
Expand -23*u**4 - 29*u**4 + 47*u**4 + (8*u**2 - 9 + 9)*(4 - 4 + u**2 + 2 - 2 - u**2 + 4*u**2 - 2*u**2 - 3*u**2 + (u**2 - 2*u**2 + 3*u**2)*(1 - 4 + 1)).
-45*u**4
Expand (u**2 - u**2 + 3*u**2)*((3*u - 2*u - 2*u)*(2*u**2 + 0*u**2 - 3*u**2) - u**3 + 0*u**3 - u**3 + (2*u**2 - 2*u + 2*u)*(u - 3*u + 0*u) + u**2 - u**2 - u**3).
-18*u**5
Expand (-o**3 + 0*o**3 + 0*o**3)*(316 + 28 - 15)*(3*o + 0*o - o + (-o - 1 + 1)*(-2 + 4 - 3)).
-987*o**4
Expand -f**4 - f**4 + 0*f**4 + (-f**4 + 0 + 0)*(3279 - 1007 + 557).
-2831*f**4
Expand -2*j**2 + 3*j**2 + 2*j**2 + (-8*j**2 + 3*j**2 - j**2)*(1 - 10 - 1).
63*j**2
Expand (2*a**2 + 2*a**2 - 7*a**2)*(-1 + 1 + a) + (1 - 1 - 4)*(6*a**2 + 7*a**3 - 6*a**2).
-31*a**3
Expand (2*f - 1 + 1)*(58 - 13 + 17) - 5*f + 4*f + 3*f.
126*f
Expand (1 - 3 + 1)*(2*y**2 + 2 - 2) + 42*y**2 + y - 107*y**2 - 33*y**2.
-100*y**2 + y
Expand (-3 + 2*z + 3)*(z**4 - 2*z**4 - z**4) + z**4 + 2*z**5 - z**4 + (-3 - 3*z**4 + 3)*(-2 - z + 2) - 99*z**2 + 99*z**2 + 21*z**5.
22*z**5
Expand 0*h + 0*h - h - h + h + h + (-3 - 2*h + 3)*(3 + 2 - 4) + (-1 - 1 - 1)*(2*h + 17 - 17).
-8*h
Expand 5*d - 3*d - 3*d + (3 + 1 - 3)*(0*d - d + 0*d) - d + 0*d + 0*d + (0*d + d - 3*d)*(1 - 4 + 14).
-25*d
Expand -161*h**3 - 2*h + 161*h**3 + 7*h**4 - 9 + (1 - 2 - 2)*(h**4 - 3*h**4 + 3*h**4).
4*h**4 - 2*h - 9
Expand 0*g + 3*g + g + (-4 - 2 + 4)*(3*g - 5*g - 4*g) + g + 3*g - 3*g.
17*g
Expand (5*k - 5*k + 2*k)*(-12 + 4 - 10)*(0 + 0 - 1).
36*k
Expand (7*d + 4 - 5 - 8*d)*(-d - 4*d - 1 - 11*d).
16*d**2 + 17*d + 1
Expand (6*j**2 - 5*j**2 - 2*j**2)*(-6 + 4 + 4) - 2*j**2 + 0*j + 0*j + (4*j - 3*j + j)*(1 - 1 + 2*j) + 2*j**2 - 2*j**2 - j**2 - 6*j + 7*j - 3*j**2 + 8*j**2.
4*j**2 + j
Expand (-1 - 1 + 4 + (-5 + 5 + 1)*(-3 + 2 + 2))*(-351*o + 351*o - 30*o**2).
-90*o**2
Expand (-2 + 2 - r)*(-129 - 11*r + 129)*(-4 + 2 + 1 - r).
-11*r**3 - 11*r**2
Expand (-1 + 4 - 4)*(0 + 0 - 5)*(2*z - z - 2*z) + (3*z - z - 4*z)*(1 - 6 + 2).
z
Expand 16 - 47 - s + 18 + (-7*s + 2*s + 3*s)*(3 - 8 - 5).
19*s - 13
Expand -a**5 - 2*a + 4*a**2 - 4*a**2 + (63*a**4 - 552*a + 552*a)*(2*a - 2 + 2).
125*a**5 - 2*a
Expand (-3*r**3 - 3*r**3 + 3*r**3)*(6 + 0 + 3 - 2 + 1 + 2 + (5 - 5 + 2)*(1 - 2 + 2)).
-36*r**3
Expand (4*r**2 - 2*r**2 + 0*r**2)*(-2*r + 4*r + r) + 2 - 2*r**3 - 2 + (-6*r + 6*r + r**2)*(r - 3*r + 3*r).
5*r**3
Expand (5*q + 10*q - 5*q)*(6*q - 14*q + 1 + 2*q).
-60*q**2 + 10*q
Expand -3 + 3 + l + 0*l + 0*l + 3*l + 172*l + 2039 - 2039 + (0*l + 3*l - 2*l)*(2 - 2 + 1).
177*l
Expand (2 - 3 + 6 - 4*m)*(-3*m - 3*m - 6*m).
48*m**2 - 60*m
Expand (842 - 842 - 80*m**5)*(1 + 3 - 7) + (-m + m + 2*m**2)*(-3*m**2 + 2*m**3 + 3*m**2).
244*m**5
Expand (579 + u**2 - 495 + u**2)*(-18*u**2 - 27*u**3 + 18*u**2).
-54*u**5 - 2268*u**3
Expand (-q**2 + 5*q**2 - q**2)*(-2 + q**3 + 2) + 88*q**5 - 40*q**5 - 76*q**5 - q + 2*q**5 + q.
-23*q**5
Expand (1 + 1 - 5)*(11*g**2 - 33 + 33).
-33*g**2
Expand (3 + 2 - 4)*(2*k - 2*k + 3*k**2) + (-2 - k + 2)*(-3*k + 2*k - k) - 2*k**2 - 3*k + 3*k + (-1 + 1 + k)*(k - 2 + 2) + (-8*k + 3*k - 27*k)*(0*k - 2*k + 0*k).
68*k**2
Expand (12*n + 191*n + 7 - 8)*(-n + 3*n - 3*n).
-203*n**2 + n
Expand ((k + 0*k + k)*(0 + k + 0) - 657*k + 6*k**2 + 657*k + 17*k - 9*k**2 - 17*k)*(4*k**2 - k**3 - 4*k**2).
k**5
Expand (4*i - 3 + 3)*(0 - 2 + 4)*(131*i - 56*i - 19*i).
448*i**2
Expand (-2 - 10 + 10 + 6*y)*(-478*y**2 + 60*y**3 + 478*y**2).
360*y**4 - 120*y**3
Expand (1452 + 513*f - 1452)*(-f + f - f).
-513*f**2
Expand -q**3 + 2*q**3 + 0*q**3 + (0*q**3 + 0*q**3 + 6*q**3 + (19 - 19 + 6*q)*(-3 + 2*q**2 + 3))*(-5 + 3 + 0).
-35*q**3
Expand 2*t**2 + t - t + 15*t - 15*t + 95*t**2 + (-1 + 3 - 1)*(3*t**2 - 2*t**2 + t**2).
99*t**2
Expand (12*o**2 + 3*o**2 + 7*o**2)*(-4*o**2 + 0*o**2 + 2*o**2)*(-3 + 1 + 1).
44*o**4
Expand (-568 + 551 + 4*w - w)*(-5 + 6 - 4).
-9*w + 51
Expand -j + 1 - 1 + (2*j + 2*j - j)*(-47 + 81 + 83).
350*j
Expand (5*q**4 - 4*q**3 + 4*q**3)*(156*q - 447 + 447) + (-q**3 + q**3 + 2*q**4)*(2*q + 0 + 0).
784*q**5
Expand (-4 - 1 + 2)*(-f - 219*f**2 - 210*f**2 - 4 + 415*f**2).
42*f**2 + 3*f + 12
Expand 2*i - 3 + 3 + (-151 - 155 + 14)*(6*i - 5*i - 2*i).
294*i
Expand (-4 - 2 + 1)*(-6*j + 3 - 4 + 2*j) - 3*j - 2*j + 8*j.
23*j + 5
Expand -33*b + 9*b**4 + 33*b + (2 - 5 + 2 - 11*b)*(b**3 + 0*b**3 + b**3).
-13*b**4 - 2*b**3
Expand (-1012*m - 578*m + 304*m)*(-2 + 4 - 1 + (2 - 3 - 1)*(3 - 1 - 3)).
-3858*m
Expand (3*y**3 - 4*y**3 + 2*y**3)*(-3*y - 4 + 4 + (-1 - 2 + 4)*(0*y + 2*y + 0*y) - 3*y + 3*y - y)*(-45 - 48 - 109).
404*y**4
Expand (11*p**3 + 7*p**3 - 4*p**3)*(-2*p + 4*p - 6*p) + 3*p**4 + 0*p**4 - 2*p**4.
-55*p**4
Expand (-50 - 75*j + 37*j + 36*j)*(4 - 2 - 3).
2*j + 50
Expand (x**2 + 2*x**2 + 2*x**2)*(-2*x**3 + 0*x**3 + x**3) + 5*x**2 - x**5 + 1041*x - 1041*x.
-6*x**5 + 5*x**2
Expand 11*f**2 + 5*f**2 - 6*f**2 + (2 - 4 + 1)*(-f**2 - f**2 + 3*f**2 - f**2 + 4*f - 4*f + (3*f + 2*f - 4*f)*(-f - 2*f + 5*f)) - f**2 - 4*f + 4*f.
7*f**2
Expand 61*w**2 + 5*w**3 - 84*w**2 - 3*w**3 + w**3 - 2*w**3 + 2*w**3 + (-5*w + 3*w + 3*w)*(3*w - 3*w - 2*w**2) + 3*w**3 + w**3 - 5*w**3 + w**3 + 0*w**3 + 0*w**3.
w**3 - 23*w**2
Expand (-s**3 + s**3 - s**4)*(-15*s + 9 - 11 - 4*s).
19*s**5 + 2*s**4
Expand (-m**2 + 2*m**2 + 0*m**2)*(2*m + 0*m - 4*m + 1)*(476 - 562 - 521).
1214*m**3 - 607*m**2
Expand (-d**2 + 3*d - 3*d + (7 - 3 - 3)*(-d**2 + 0*d + 0*d) - 9*d**2 + 6*d**2 + d**2)*(d**2 - 4*d**2 + 4*d**2).
-4*d**4
Expand (-3*u**2 + 3*u**2 + u**2)*(u**3 + 163 - 250*u - 203 + 237*u).
u**5 - 13*u**3 - 40*u**2
Expand (-2*l**3 - l**3 + 5*l**3)*(-96*l**2 + 226*l**2 - 115*l**2) + (3*l**5 - 6*l**5 + 2*l**5)*(2 - 4 + 0) + l**3 - l**3 - l**5 + 2*l**5 - 7*l + 7*l - 4.
33*l**5 - 4
Expand (-41*f + 35*f + 15*f)*(-3 + f + 3)*(3 + 0 - 4).
-9*f**2
Expand (3 + 4 - 5 + (4 - 3 - 3)*(1 - 6 - 3))*(-2*l**3 - 2*l**3 - 2*l**3).
-108*l**3
Expand (6 - 6 + 10*u)*(-3*u + 2*u - 3*u).
-40*u**2
Expand (2*x - 2*x**2 - 2*x)*(-246 - 421 + 197).
940*x**2
Expand (2*m - m - 1 + 2*m + 0 + 2*m + 0 + (-3 - 2*m + 3)*(-4 + 2 + 0) + 3*m - 6*m + 2*m)*(2*m - m + m).
16*m**2 - 2*m
Expand (5 - 6 + 2 - 2 - 4 + 4 + 2 - 3 - 1 + (-2 + 3 + 0)*(-3 + 3 + 2))*(0 + 7 - 13)*(4*l**3 + l**3 - 3*l**3)*(3*l + 10*l - 5*l).
96*l**4
Expand 0*j**3 + 0*j**3 + 2*j**5 + (-2*j**4 + 1 - 1)*(0*j - j + 0*j) - 4*j**5 + 5*j**5 - 2*j**5 + 4*j**5 - 3*j**5 + j**3 + j**3.
4*j**5 + 2*j**3
Expand 2*c**2 - 20*c + 16 + 19*c + 4 + (-3*c - 2*c + 4*c)*(c + 0*c + 0*c).
c**2 - c + 20
Expand (-1 - 1 + 1)*(-2*b**5 + 3*b**5 - 2*b**5) - 2*b**5 + b**3 - b**3 - 5*b**5 + 3*b**5 - 8*b**5.
-11*b**5
Expand (-r + 0*r + 0*r)*(-103840*r**2 - 495*r**4 + 103840*r**2).
495*r**5
Expand -2*x**4 + 3 - 3 + (2*x + 0 + 0)*(2*x**3 - 3*x**3 - 2*x**3) + 564*x**3 + 54*x**4 - 8*x**4 - 565*x**3.
38*x**4 - x**3
Expand -y**4 - y + y + (y - 5*y + 3*y)*(-y**3 - y**3 + 3*y**3)*(9 + 0 + 4).
-14*y**4
Expand (5*x**2 - 5*x**2 - x**3)*((-3 + 3 - 9*x)*(-1 - 5 + 7) - 4 - x + 4).
10*x**4
Expand (3*z - 4*z + 3*z)*(-5 + 2 + 1)*(4 + 0 - 3 - 3 + 2 - 1 + 2 - 1 - 4 - 3 - 1 + 2 + (3 + 4 - 5)*(-2 - 2 + 2)).
40*z
Expand (2 - 5 + 2 + 5 - 5 + 2 + (2 + 3 - 3)*(0 + 3 - 4) + 0 + 2 - 3 + 3 - 1 - 3)*(-32*u - 275*u - 21*u).
984*u
Expand -3*h**4 + 6*h - 6*h + 2*h**4 + 3*h**4 - 3*h**4 + (h**2 + 0*h + 0*h)*(2*h**2 - h**2 + 0*h**2) +
|
{
"pile_set_name": "DM Mathematics"
}
|
e prob of sequence vx.
3/110
Two letters picked without replacement from {w: 7, c: 4, j: 2, d: 1, p: 1}. Give prob of sequence cp.
2/105
Calculate prob of sequence jsj when three letters picked without replacement from snjjjnnnnnnjn.
1/143
Two letters picked without replacement from {v: 6, k: 1, q: 1, c: 2, s: 3}. What is prob of sequence kv?
1/26
Calculate prob of sequence chc when three letters picked without replacement from {h: 4, j: 6, c: 2, w: 1}.
2/429
What is prob of sequence lm when two letters picked without replacement from {z: 1, k: 4, n: 4, d: 2, l: 2, m: 1}?
1/91
What is prob of sequence gy when two letters picked without replacement from vfgfvvtvfyv?
1/110
Calculate prob of sequence qbbb when four letters picked without replacement from bbbcqqbbbb.
1/12
What is prob of sequence ww when two letters picked without replacement from {w: 4, e: 2}?
2/5
Calculate prob of sequence eepm when four letters picked without replacement from eemmvpee.
1/70
What is prob of sequence ccdl when four letters picked without replacement from {d: 3, c: 2, j: 1, l: 1, f: 5}?
1/1980
Two letters picked without replacement from kkbjjjzkjjbjmbab. Give prob of sequence bj.
1/10
What is prob of sequence sg when two letters picked without replacement from {s: 1, v: 1, g: 5, m: 4, f: 1, a: 1}?
5/156
Calculate prob of sequence ttp when three letters picked without replacement from ppppptppppppt.
1/78
What is prob of sequence vj when two letters picked without replacement from ylrvyjh?
1/42
Calculate prob of sequence yy when two letters picked without replacement from {y: 2, m: 8, n: 9}.
1/171
What is prob of sequence nn when two letters picked without replacement from {n: 5, s: 7}?
5/33
Three letters picked without replacement from wwiiwpwp. What is prob of sequence wpw?
1/14
Three letters picked without replacement from {i: 1, y: 2, x: 1, h: 1}. What is prob of sequence hxy?
1/30
Calculate prob of sequence hyk when three letters picked without replacement from jxchcxcxyky.
1/495
Three letters picked without replacement from {j: 2, s: 1, b: 2, l: 2, k: 1, g: 1}. Give prob of sequence jjs.
1/252
Three letters picked without replacement from uunnuuuuuuu. What is prob of sequence unu?
8/55
Two letters picked without replacement from xzztxxtxxxx. What is prob of sequence tz?
2/55
Four letters picked without replacement from {h: 3, z: 4, p: 1, v: 1, q: 2, k: 1}. What is prob of sequence kpzq?
1/1485
Three letters picked without replacement from {a: 1, n: 2, f: 1, i: 1, u: 1, r: 1}. Give prob of sequence aiu.
1/210
Four letters picked without replacement from {w: 1, r: 3, m: 2, k: 1, h: 3, y: 1}. What is prob of sequence hryr?
1/440
What is prob of sequence qmmm when four letters picked without replacement from {m: 7, q: 1}?
1/8
What is prob of sequence jzt when three letters picked without replacement from rrtubrjuztbz?
1/330
What is prob of sequence ppnr when four letters picked without replacement from qbrqqppqbqpbqqrqqnq?
1/7752
What is prob of sequence iii when three letters picked without replacement from ziiiiiiiiiiiiii?
4/5
Two letters picked without replacement from ssspptppspsstsssssss. What is prob of sequence st?
13/190
Two letters picked without replacement from {a: 4, z: 1, i: 4, y: 2}. Give prob of sequence zy.
1/55
What is prob of sequence amma when four letters picked without replacement from {m: 2, a: 3}?
1/10
What is prob of sequence zyzz when four letters picked without replacement from zzzzzyyyzyzy?
35/396
Three letters picked without replacement from {q: 2, u: 1, l: 4, j: 3, f: 1}. Give prob of sequence fjj.
1/165
Calculate prob of sequence rgk when three letters picked without replacement from {k: 3, a: 5, f: 2, g: 6, r: 2}.
1/136
Calculate prob of sequence iii when three letters picked without replacement from {i: 12, d: 3}.
44/91
Four letters picked without replacement from iikiiiik. What is prob of sequence iiik?
1/7
What is prob of sequence mpj when three letters picked without replacement from {v: 3, m: 1, u: 3, j: 1, o: 2, p: 2}?
1/660
What is prob of sequence be when two letters picked without replacement from aebtt?
1/20
What is prob of sequence njjn when four letters picked without replacement from {j: 4, n: 3, f: 1, s: 1, o: 1, p: 2}?
1/165
What is prob of sequence zzt when three letters picked without replacement from {t: 7, z: 7}?
7/52
Three letters picked without replacement from {l: 1, e: 17}. What is prob of sequence ele?
1/18
What is prob of sequence ypp when three letters picked without replacement from {l: 2, p: 2, y: 2}?
1/30
Two letters picked without replacement from egxoxgxxxxxxloe. Give prob of sequence ex.
8/105
What is prob of sequence tl when two letters picked without replacement from {x: 4, l: 3, t: 1}?
3/56
Three letters picked without replacement from wwwwwwwwww. What is prob of sequence www?
1
What is prob of sequence jjlj when four letters picked without replacement from jjjjjjjjjjjjjjjjljjj?
1/20
Calculate prob of sequence memm when four letters picked without replacement from {o: 2, m: 3, e: 13}.
13/12240
Calculate prob of sequence wv when two letters picked without replacement from wwwwwwwvwwwwwwwwww.
1/18
What is prob of sequence yzz when three letters picked without replacement from zcczzyzzgzczzczgzzg?
55/2907
Three letters picked without replacement from cxrmmkkkmkmcck. Give prob of sequence rcx.
1/728
Four letters picked without replacement from {u: 2, d: 1, e: 1, q: 2, j: 1}. What is prob of sequence qude?
1/210
Calculate prob of sequence rs when two letters picked without replacement from {b: 1, p: 6, r: 2, i: 3, s: 1}.
1/78
What is prob of sequence hhl when three letters picked without replacement from hhcyqnnlc?
1/252
Three letters picked without replacement from frfwwffwwrw. Give prob of sequence ffr.
4/165
Two letters picked without replacement from {i: 2, h: 4, n: 6, p: 1, a: 1, v: 1}. Give prob of sequence pn.
1/35
Calculate prob of sequence dud when three letters picked without replacement from {u: 2, d: 10}.
3/22
Two letters picked without replacement from {k: 5, w: 14}. What is prob of sequence kw?
35/171
Calculate prob of sequence pp when two letters picked without replacement from {i: 1, p: 3}.
1/2
Calculate prob of sequence juu when three letters picked without replacement from {u: 2, n: 5, j: 3}.
1/120
Four letters picked without replacement from {v: 2, p: 3, r: 3, o: 8, s: 1, l: 1}. Give prob of sequence rolp.
1/1020
Three letters picked without replacement from xqqqypqkxupx. Give prob of sequence qqk.
1/110
Two letters picked without replacement from {y: 2, k: 4, s: 5, j: 2}. What is prob of sequence jy?
1/39
Three letters picked without replacement from {x: 5, b: 9, j: 1, v: 3}. What is prob of sequence xjv?
5/1632
Four letters picked without replacement from eceeeceeece. What is prob of sequence eeee?
7/33
Three letters picked without replacement from errjrejjrjjjrejj. What is prob of sequence rrj?
1/21
Calculate prob of sequence vvv when three letters picked without replacement from {v: 9}.
1
Three letters picked without replacement from mkxhxhhopooooxh. What is prob of sequence xmh?
2/455
Two letters picked without replacement from {u: 1, b: 5, m: 3}. What is prob of sequence mm?
1/12
Three letters picked without replacement from ixixxxxixi. What is prob of sequence xxi?
1/6
Calculate prob of sequence duk when three letters picked without replacement from kttrrrgruttrtdu.
1/1365
Calculate prob of sequence lx when two letters picked without replacement from xxxxxxlxllxxxxlllx.
4/17
Two letters picked without replacement from slsslmzzsk. What is prob of sequence zl?
2/45
Calculate prob of sequence oofo when four letters picked without replacement from offofoffooffooffoo.
21/340
Four letters picked without replacement from sfffsbsfgbgsggsgbbg. Give prob of sequence ffgg.
5/1292
Calculate prob of sequence lb when two letters picked without replacement from {b: 9, l: 10}.
5/19
Three letters picked without replacement from zzzzzyyyyzyyyyyyyy. Give prob of sequence zyy.
11/68
Three letters picked without replacement from {o: 1, r: 2, y: 8, b: 8, x: 1}. What is prob of sequence oxb?
1/855
Calculate prob of sequence cj when two letters picked without replacement from zezcjzc.
1/21
Calcula
|
{
"pile_set_name": "DM Mathematics"
}
|
rder.
-396, -141, 32
Sort -2, 66, -101855 in ascending order.
-101855, -2, 66
Put -0.1, -0.3, 0.4, -18.21, 2 in decreasing order.
2, 0.4, -0.1, -0.3, -18.21
Put -7, -5, 644, 1 in ascending order.
-7, -5, 1, 644
Sort 5, -2790565, -0.5 in increasing order.
-2790565, -0.5, 5
Sort -410, -2, 3, -38, -1, -171, -3 in descending order.
3, -1, -2, -3, -38, -171, -410
Put -73, -19, -1/6, 25/8, 0 in descending order.
25/8, 0, -1/6, -19, -73
Put 8, 2, -4, -16867, -5, 0, -3 in increasing order.
-16867, -5, -4, -3, 0, 2, 8
Sort 2, -7, 23091, -5.
-7, -5, 2, 23091
Put 4, 54826, 4239 in decreasing order.
54826, 4239, 4
Sort -3, -28527, -2, 3, -1.6, -18.
-28527, -18, -3, -2, -1.6, 3
Sort -5/6, -1635, -3, -1/6, -1, 12 in ascending order.
-1635, -3, -1, -5/6, -1/6, 12
Sort 6681, -2, -14, 1, 2, -5 in decreasing order.
6681, 2, 1, -2, -5, -14
Sort 0.5, 34218073, 0.3, -0.2.
-0.2, 0.3, 0.5, 34218073
Sort -2/7, -9, 5, 124.79, -2/11.
-9, -2/7, -2/11, 5, 124.79
Put 488, -41, 5, -406 in increasing order.
-406, -41, 5, 488
Put 10, 5, -39938 in decreasing order.
10, 5, -39938
Put 0.0403, 866, 8 in ascending order.
0.0403, 8, 866
Put -3/775, -23.869, -5 in decreasing order.
-3/775, -5, -23.869
Sort -2943, -3, 0, 8, 1, -5 in increasing order.
-2943, -5, -3, 0, 1, 8
Put 3, 2, -4249/89561 in descending order.
3, 2, -4249/89561
Put -84, -4, 28, 366 in decreasing order.
366, 28, -4, -84
Put -50, 34, -0.1, -10 in decreasing order.
34, -0.1, -10, -50
Put -4, -0.01, 115/2, 1.2, 5.2 in descending order.
115/2, 5.2, 1.2, -0.01, -4
Put 1.442, -438.3, 3/7 in descending order.
1.442, 3/7, -438.3
Put 17, -2/5, -2/15, -2/3, 19, -1 in decreasing order.
19, 17, -2/15, -2/5, -2/3, -1
Put -0.3, -4, 611, -2/13, -0.5, 10 in descending order.
611, 10, -2/13, -0.3, -0.5, -4
Sort -5, -63299, 26.
-63299, -5, 26
Sort -0.1, -6/11, -1, 372011, -0.2 in descending order.
372011, -0.1, -0.2, -6/11, -1
Put 77, -2, 4, 0, 3, 5, -47 in decreasing order.
77, 5, 4, 3, 0, -2, -47
Sort 5, -1372, 203, 1 in descending order.
203, 5, 1, -1372
Sort -5, 1, 2, -50, 3, 72, 4 in descending order.
72, 4, 3, 2, 1, -5, -50
Put -21, -12, 20149, -1, -2 in descending order.
20149, -1, -2, -12, -21
Put 75, -52, -5, 0, 4, -4 in descending order.
75, 4, 0, -4, -5, -52
Put -8, -5, 546, -4, -2 in decreasing order.
546, -2, -4, -5, -8
Put -4, 1/1378, -1/2, 17 in ascending order.
-4, -1/2, 1/1378, 17
Put 5, -490321, -108, 3 in increasing order.
-490321, -108, 3, 5
Sort 59, 0, 4, -42, -4, -8, 2.
-42, -8, -4, 0, 2, 4, 59
Put 2597, 82, -4 in descending order.
2597, 82, -4
Put -2116, -1, -2, -1564 in decreasing order.
-1, -2, -1564, -2116
Put -372, 6, -2, -2399 in increasing order.
-2399, -372, -2, 6
Sort 2, -2, 37426, -5, 3.
-5, -2, 2, 3, 37426
Sort -16/3, 0.97, 77 in increasing order.
-16/3, 0.97, 77
Sort -1, -5, -236, 31, 5, -3 in increasing order.
-236, -5, -3, -1, 5, 31
Put -2, -33/17, -1/5920 in descending order.
-1/5920, -33/17, -2
Put 3, 0, -3, -8, 6019 in decreasing order.
6019, 3, 0, -3, -8
Sort -0.3, 0.35, -2/11, -24/7, -4.
-4, -24/7, -0.3, -2/11, 0.35
Put 0, -0.2, 3, -0.17, 16396, -2 in decreasing order.
16396, 3, 0, -0.17, -0.2, -2
Put -1, -89, 14, 87, -6 in decreasing order.
87, 14, -1, -6, -89
Sort -4, 4, -18, -17, 3, -49, 5 in descending order.
5, 4, 3, -4, -17, -18, -49
Sort 31/7, -0.4, -6033.
-6033, -0.4, 31/7
Put -10, 39, 3, -67 in decreasing order.
39, 3, -10, -67
Put 3, -10, -2, 5, -1026, 281, -4 in descending order.
281, 5, 3, -2, -4, -10, -1026
Put -2/2357, -5, 0.2, -1/2, 124 in decreasing order.
124, 0.2, -2/2357, -1/2, -5
Sort 547276, 1, -2, 2, -5 in descending order.
547276, 2, 1, -2, -5
Sort 0, 2635, 2, 1, 12.
0, 1, 2, 12, 2635
Sort 18, -4, -65514 in decreasing order.
18, -4, -65514
Sort 145622, 0, -4, 2, -95, -1 in descending order.
145622, 2, 0, -1, -4, -95
Put -99, 68, 11, -2, 2, 5 in decreasing order.
68, 11, 5, 2, -2, -99
Sort 605485, -5, 0.
-5, 0, 605485
Put 3315, 18, -3, 4 in decreasing order.
3315, 18, 4, -3
Sort -13, -3, -5, 166269 in decreasing order.
166269, -3, -5, -13
Put -11798, 3, 0.08, -0.3, -2, 1/4 in descending order.
3, 1/4, 0.08, -0.3, -2, -11798
Sort -4, -1, 19, 2, -40910 in descending order.
19, 2, -1, -4, -40910
Sort 0.09, 0, 56541, -1/2 in descending order.
56541, 0.09, 0, -1/2
Sort 4, 18264, 1, 5, -276 in decreasing order.
18264, 5, 4, 1, -276
Sort -4, -252, 6313 in descending order.
6313, -4, -252
Sort -94, 0, -60, 1, 3, 137, 5.
-94, -60, 0, 1, 3, 5, 137
Put 136, 8, 0, 5, -1, 7, 13 in ascending order.
-1, 0, 5, 7, 8, 13, 136
Put 0, -0.2, -6344/7, -81 in ascending order.
-6344/7, -81, -0.2, 0
Sort 2, -4, 11, -8, 42990 in decreasing order.
42990, 11, 2, -4, -8
Sort 5, 4, -15, 663, -3.
-15, -3, 4, 5, 663
Sort -275.9, -20, 8, 2/9, 44, 1/8 in ascending order.
-275.9, -20, 1/8, 2/9, 8, 44
Sort -130037, 5, -5, -1845 in ascending order.
-130037, -1845, -5, 5
Sort 3, -62, -24, -20 in descending order.
3, -20, -24, -62
Sort -19, 32.9, -1/18852.
-19, -1/18852, 32.9
Put 2/3, 1/6, 0, -53032, 3, 6 in decreasing order.
6, 3, 2/3, 1/6, 0, -53032
Put 29, -6, 3, -18, 1153 in increasing order.
-18, -6, 3, 29, 1153
Put -2, 0, -1, -4, -173, -5, 403 in descending order.
403, 0, -1, -2, -4, -5, -173
Put -327, -156/53, 0.12 in ascending order.
-327, -156/53, 0.12
Sort -5, -3, 2, 4, -26, 19 in descending order.
19, 4, 2, -3, -5, -26
Put -5, 0, -51, 6, -75 in decreasing order.
6, 0, -5, -51, -75
Put 405, -1421, 11 in ascending order.
-1421, 11, 405
Put -1, -432, 1, -1936 in descending order.
1, -1, -432, -1936
Put 8969, -15, 18 in ascending order.
-15, 18, 8969
Sort -1358/5, 129, 14 in ascending order.
-1358/5, 14, 129
Sort -1, 0.3, 99.4, 0.103, 5 in ascending order.
-1, 0.103, 0.3, 5, 99.4
Sort 0.7, 3, -4826.
-4826, 0.7, 3
Put -2078, 0.7, 11, 6, 0.3, -0.3 in ascending order.
-2078, -0.3, 0.3, 0.7, 6, 11
Put -2/690899, 4, -1/10 in descending order.
4, -2/690899, -1/10
Put -3, 0.1, 1/43456, -13/14, 4 in ascending order.
-3, -13/14, 1/43456, 0.1, 4
Put -2/97, -2/5, -14.2, 0, -0.5 in descending order.
0, -2/97, -2/5, -0.5, -14.2
Put -1/2, -2/7, -22.4126, 0, -2/5 in increasing order.
-22.4126, -1/2, -2/5, -2/7, 0
Put 0.3, 5, -42910378/5 in decreasing order.
5, 0.3, -42910378/5
Put -1/4, 0.2, 34712, -0.5 in descending order.
34712, 0.2, -1/4, -0.5
Put 14, 9, 0.2, 12/11, -5, -6 in decreasing order.
14, 9, 12/11, 0.2, -5, -6
Put 7, -123, 458, -4, -1, -7 in decreasing order.
458, 7, -1, -4, -7, -123
Put -1, 2387, 4, -1/4, 107 in increasing order.
-1, -1/4, 4, 107, 2387
Sort 5, 23, 29381.
5, 23, 29381
Sort 203, -5, 366, -4, -2, 1.
-5, -4, -2, 1, 203, 366
Put 0, 2, -1, 1, 81, -3, -868 in increasing order.
-868, -3, -1, 0, 1, 2, 81
Sort 3068, 1, 473, -4.
-4, 1, 473, 3068
Sort 3, -1305, -2, -12, -3, -4, 0 in descending order.
3, 0, -2, -3, -4, -12, -1305
Put -1/4, 5261, -2, 180 in decreasing order.
5261, 180, -1/4, -2
Sort 13, 112, -14, 1633 in ascending order.
-14, 13, 112, 1633
Sort -3, -4718, -6, 0, 1, 182.
-4718, -6, -3, 0, 1, 182
Put 4, 1486, 0, 2, -2, -418 in decreasing order.
1486, 4, 2, 0, -2, -418
Sort 5, -0.3, -45/22, -39, 1 in increasing order.
-39, -45/22, -0.3, 1, 5
Put 0.1, -0.3, -5/38, 2/5, -3, 151 in descending order.
151, 2/5, 0.1, -5/38, -0.3, -3
Sort -1, 0, 2736416.
-1, 0, 2736416
Sort -1.46, 3/7, -1, 0.1, 90 in increasing order.
-1.46, -1, 0.1, 3/7, 90
Sort 314, 1, 61, 3, 14, 4 in descending order.
314, 61, 14, 4, 3, 1
Sort -75, 2/15, -0.1, -7.14, 4 in descending order.
4, 2/15, -0.1, -7.14, -75
Put 0, -568, -25, -6, -3 in descending order.
0, -3, -6, -25, -568
Put -11, -4957, -2, -1, 15 in decreasing order.
15, -1, -2, -11, -4957
Sort 8, 5, 61, -2, -354, -9 in decreasing order.
61, 8, 5, -2, -9, -354
Sort -6, 3, 0.2602, 45.6 in descending order.
45.6, 3, 0.2602, -6
Sort -0.3165, -3, -0.2, 3/11, -0.1 in ascending order.
-3, -0.3165, -0.2, -0.1, 3/11
Put 7, -559, -24428 in increasing order.
-24428, -559, 7
Put -69556324, 3, 4/9 in descending order.
3, 4/9, -69556324
Sort -19368, 4, -6, -35 in descending order.
4, -6, -35, -19368
Sort -2/5, 21/67, -8/7, 151.
-8/7, -2/5, 21/67, 151
Sort 1148, 2, 7, 125, 1.
1, 2, 7, 125, 1148
Sort 3, -2827, 2, 85, 4 in decreasing order.
85, 4, 3, 2, -2827
Put 5, 159, 4, -136, -5 in decreasing order.
159, 5, 4, -5, -136
Sort 715, 8, 7, -4, -2, 5, -5.
-5, -4, -2, 5, 7,
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 and give n.
-6
Rearrange 0*q + q**3 + 0*q - q + (11*q**2 + q**2 - q**2)*(-7*q + 5*q - 5*q) to h*q**2 + y*q**3 + d*q + z and give d.
-1
Rearrange (-4 + 7 + 3)*(1 - 1 - 6)*(0*f**2 - f**2 + 0*f**2) to the form r*f**2 + x + y*f and give r.
36
Rearrange -16*a**2 + 47*a**2 - 15*a**2 + (-3*a + 2*a + 0*a)*(-3*a + 3*a - 2*a) + 3*a**2 + 0*a**2 - 2*a**2 - 2*a**2 + 2*a - 2*a to v*a**2 + f + c*a and give v.
17
Rearrange (-6 + 20 + j**4 + 4 - 4*j**3)*(-3 - 1 + 2) to the form m*j**2 + i*j**4 + g*j**3 + s*j + b and give i.
-2
Rearrange -43*m - 2*m**3 + 41*m - 3*m**2 - 3*m**2 + 1 + 2*m**4 to x*m + o*m**3 + p*m**4 + y + u*m**2 and give u.
-6
Rearrange -4*n**4 - 2 + 0*n**3 + 1 + 2*n**4 + n + 2*n**3 to u + f*n**3 + k*n + g*n**4 + d*n**2 and give u.
-1
Rearrange 146*p - 304*p + 88*p to the form u*p + b and give b.
0
Rearrange 6 + 2*a**2 - 6 - 15*a**2 to the form p*a**2 + m + c*a and give p.
-13
Express 4*v + 0*v - 2*v - v + 4*v - 2*v + (1 - 1 - 1)*(5*v - 4*v + v) + v - 10*v + 7*v as y*v + c and give y.
-1
Rearrange 45*u**4 - 2*u**2 + 3*u**3 - 3 + 50*u**4 - 93*u**4 to t*u**2 + h + m*u**4 + x*u + g*u**3 and give t.
-2
Express ((-3 + 1 + 4)*(-1 + 1 - 1) - 1 + 0 + 2)*(-4*n + 2*n + 0*n + 2) in the form u*n + c and give c.
-2
Express (5 - 15 + 43)*(-2*t - 3*t**3 + 2*t**3 + 5*t) as w*t**3 + i*t**2 + q + z*t and give z.
99
Rearrange (-1 - 3 + 5)*(-p + p + 2*p) + 2*p - p - 2*p + p - 2*p + 2*p + (5*p - p - 2*p)*(-4 + 2 + 0) to the form r + a*p and give a.
-2
Express 7*v - 2*v + v + v in the form r*v + u and give r.
7
Express 0*j + 29 + j - 26 as k*j + x and give k.
1
Express (3*k + k - k)*(-6 + 3 + 4)*(1 - 5 + 2) in the form d + n*k and give n.
-6
Express -4*n + 2*n + 0*n + (-1 + 4 + 1 + (0 + 0 - 1)*(3 + 2 - 4))*(5*n + 7 - 7) in the form k + a*n and give a.
13
Express -l**4 + l + 2*l**2 + 2 - 7*l**4 + 5*l**4 + 0*l**4 in the form u*l + t*l**2 + z + c*l**3 + k*l**4 and give z.
2
Express -2*t + 2*t**2 + 4*t**3 - 5*t**3 + t**4 - 12*t in the form n*t**4 + h + y*t**2 + i*t + g*t**3 and give g.
-1
Express (-2 + 13 - 1)*(-w**3 + 2 - 2)*(-7*w - 3*w - 10*w) in the form u*w**2 + y + d*w + n*w**4 + c*w**3 and give n.
200
Express (-4 + 0 + 5)*(3*g**3 - g**4 - 3*g**3) - 1 - 4*g**2 + 2*g**4 + 4*g**2 in the form c + w*g**2 + v*g**3 + t*g + x*g**4 and give c.
-1
Rearrange (68 + 32 + 10)*(-n**2 + n**4 + 0*n**4 + n**4) to s*n**4 + h + i*n**2 + o*n**3 + l*n and give s.
220
Rearrange (0 + 2*b + 0)*(3 + 1 + 0)*(-4 + 2 + 4) to the form f + g*b and give g.
16
Express -3*k - 5*k + 4*k + 1 + 2*k - 1 + (-2*k + 3*k + k)*(-2 + 2 - 2) + 3*k + 0*k - 2*k in the form o + i*k and give i.
-5
Rearrange 3*y - 4*y + 7 - 5 - 3*y**4 to d*y**2 + v + t*y**3 + s*y + m*y**4 and give v.
2
Rearrange -2*a**3 - a**2 - 5*a**2 + 6*a**2 + 17*a**4 + 1 to f*a**2 + t*a**4 + g*a + s*a**3 + i and give i.
1
Express -d**4 - 3 + 7*d + 11*d - 6*d**3 - 16*d in the form n*d**4 + c*d**3 + s*d**2 + v + r*d and give v.
-3
Rearrange 1 + 0 - 47*g**4 + 4*g**2 + 46*g**4 - 3*g**2 to the form j*g**4 + l*g**2 + a + d*g + o*g**3 and give l.
1
Express -2 + 3*y**2 - 2*y**3 + 0*y**3 - 3*y**2 as v*y**3 + f + d*y + h*y**2 and give v.
-2
Express -20*o + 20*o - 1 - o**3 - o**3 - 3*o**3 + 0*o**3 + (-3*o - 2*o + 2*o)*(-5*o + 2*o**2 + 5*o) as g*o**2 + t + j*o + w*o**3 and give t.
-1
Express (0*i + i + i)*((-1 + 1 + 3*i**2)*(-2*i - 1 + 1) - 5*i**3 + 67*i**2 - 67*i**2) in the form s*i**2 + t*i**3 + d + f*i + b*i**4 and give b.
-22
Express 0*s**2 - 2*s - 2*s**2 - 3*s**3 + 6*s**3 as z*s + c*s**3 + r*s**2 + v and give c.
3
Express -6*p**3 + 10 - 5 - p**2 - 6 - p**3 in the form s*p**2 + y + i*p**3 + r*p and give y.
-1
Rearrange -3*u**2 + u**2 - 3*u**2 + (-5*u + 0*u + 3*u)*(-u - 2*u + 4*u) to the form w*u + j*u**2 + a and give j.
-7
Express (2*b - 3*b - 4*b)*(0*b - 4*b + 6*b) + 11*b**2 + 0 + 2 - 9*b**2 in the form h*b**2 + l*b + v and give h.
-8
Express (t**2 + 2*t**2 - t**2)*(-t**2 + 3 - 3) + 3*t**3 - 66*t**4 + 40*t**4 - 2*t**3 in the form m*t**3 + n*t**4 + p + j*t + v*t**2 and give m.
1
Rearrange 1 + 0*a**3 + 0*a**3 - 3 + 2*a**2 + a**3 + 3*a to the form l*a**2 + r*a**3 + g*a + k and give l.
2
Express (2 - 2 - a)*(6 - 5 + 3)*(0*a - 3*a + 6*a) as t + x*a + n*a**2 and give n.
-12
Express 10*z**2 - 14*z**2 - 2 + 2 + z in the form s*z + d*z**2 + f and give s.
1
Rearrange -69*v + 105*v + 1 - 58*v to the form w*v + k and give k.
1
Express -2*d**2 + d + d**2 + 5 - d**2 + d**4 + 0*d**2 + 2*d**3 as j*d**4 + n*d**3 + p*d + w*d**2 + y and give y.
5
Rearrange -4*y - 45*y + 89*y to m*y + t and give m.
40
Rearrange (2*v**3 - 2*v**3 + 2*v**4)*(0 - 1 + 0) - 2*v**2 + 3*v**4 + 2*v**2 to a*v + l*v**3 + k + z*v**2 + d*v**4 and give d.
1
Express -3*p**2 + 28*p**3 - 15*p**3 + 3*p - 1 - 15*p**3 in the form a + y*p**3 + w*p**2 + m*p and give y.
-2
Express 2*b**2 - 2 + 13*b**3 + 7*b**3 + 4 in the form n + q*b**3 + f*b + m*b**2 and give n.
2
Express (-7*f + 30 - 30)*(0 - 3 + 2)*(-2*f + 4*f + 0*f) as r*f + z + u*f**2 and give u.
14
Rearrange -46 + 84 + 3*d - 45 to f + k*d and give f.
-7
Rearrange 0*y**2 - y**2 + 3*y**2 + (-4*y + y + 7*y)*(2*y + 0*y - 3*y) - 6*y**2 - 10*y**2 + 4*y**2 to the form z*y**2 + c + p*y and give z.
-14
Rearrange (2 - 5 + 2)*(42 + 21 - 9)*(-5*u + 3*u**2 + 5*u) to the form v*u**2 + c + i*u and give v.
-162
Rearrange (c - c + 2*c)*(17 + 13 - 34)*(4*c - 2*c + c) to the form p*c + t + u*c**2 and give u.
-24
Express 9*f - 15*f - 63*f in the form m*f + n and give m.
-69
Rearrange ((-6*x - 4*x + 2*x)*(-2 - 7 + 2) + 2 + 2*x - 2)*(x**2 + 2*x - 5*x + x) to the form h*x + g*x**2 + z + a*x**3 and give g.
-116
Rearrange (-28*g - 61*g + g - 107*g)*(-2*g**2 + 3*g**2 + 0*g**2) to the form r*g + f*g**3 + s*g**2 + b and give f.
-195
Express 2*c**4 + 2 - 2 + (-c**2 + 1 - 1)*(c - c**2 - c) + c**4 - 2*c**4 + 2*c**4 + 15*c + 183*c**4 - 15*c as g*c**2 + b*c**4 + y*c**3 + k*c + n and give b.
187
Rearrange -4*o**2 + 14*o**2 - 5*o**2 to z*o + b + v*o**2 and give v.
5
Rearrange 1 - 8*u + 3 - 4 to j + o*u and give o.
-8
Express (-2*t + 2*t + t)*(t**2 - 6*t**2 + 4*t**2) + (-4*t**2 + 4*t**2 + 3*t**3)*(1 - 3 + 4) in the form a*t**2 + c*t + b + y*t**3 and give y.
5
Express 16*d**2 + d + 2 - d**2 - 4*d**2 - 2*d as n*d + o*d**2 + u and give u.
2
Rearrange ((3 - 4 + 3)*(-2*u + 3*u - 3*u) + 3*u + u - 3*u - 2*u + 3*u - 2*u)*(5 + 8 + 0)*(-1 + 2 - 5)*(-1 - 2 + 2) to the form z*u + n and give z.
-208
Express (3 + 0 - 2)*(5 - 1 - 3)*(6*t - t - 2*t) as g + l*t and give l.
3
Rearrange 5 - 9 + 13*a + 4 to h*a + n and give h.
13
Express 67*m - 88 + 88 as r + a*m and give a.
67
Express 125*q**2 + 26*q**2 - 252*q**2 as x*q + g*q**2 + j and give j.
0
Rearrange 4*s + 6*s + 0*s to g*s + x and give g.
10
Rearrange -2*i**3 - i**2 + 3*i**2 + 3 + 5*i**3 - 2*i**3 to the form z + s*i + v*i**3 + h*i**2 and give v.
1
Express -10*b + 5*b + 13*b + 11*b as d*b + f and give d.
19
Express -9 + 5*w**3 + 0*w**3 + 10 as r*w + a + b*w**2 + g*w**3 and give g.
5
Express ((0*u + 4*u - 2*u)*(5*u - u - 2*u) + 9*u**2 + 9*u**2 - u**2)*(u + u - 4*u) as h*u**3 + i + t*u + c*u**2 and give h.
-42
Express (d**3 - 7*d**3 - d**3)*(1 - 5 + 1)*(2 + 1 - 1) - 4 + 4 + 2*d**3 as h*d**2 + b*d + z + c*d**3 and give c.
44
Express (1 - 1 + n**4)*(285 + 375 - 126) in the form q*n**2 + f*n**3 + x + m*n + y*n**4 and give y.
534
Rearrange -3*v**3 + 9*v**4 + 4*v**3 + 0*v**3 - 8*v**4 - 4 - v**2 - 2*v to k*v**4 + g*v**3 + s*v**2 + u*v + d and give k.
1
Rearrange (-7 - 3 + 4)*(-3 + 3 - p + (-3 + 2 + 3)*(-4*p + 4*p - p)) to the form m + x*p and give x.
18
Rearrange (12*g - 19*g - 55*g)*(0*g - g + 2*g) to w*g + n*g**2 + r and give n.
-62
Express 4*s**2 + 3*s - 4*s**2 + 2 + 2 + s**3 in the form g + x*s + i*s**3 + y*s**2 and give g.
4
Express (-i - 3 + 3 + (-1 + 2 + 3)*(-i - 2*i + 2*i))*(4 - 4 - 2 - 2 + 3 + 1 + (1 - 1 - 1)*(1 - 2 + 3) - 4 + 3 + 7) in the form y*i + j and give y.
-20
Rearrange 1 + 18*g**2 - 6 - 2 - 15*g**2 to h + k*g**2 + w*g and give h.
-7
Express f**3 + 5 - f + f in the form m*f**2 + y*f**3 + n*f + r and give r.
5
Rearrange (4*k**3 - 9*k**3 - k**3)*(-k + k - 5*k) + (4 + k**2 - 4)*(3 - k**2 - 3) to the form o*k + l + a*k**4 + g*k**2 + h*k**3 and give a.
29
Rearrange 77*k**2 - 27*k**2 + 26*k**2 to the form j + a*k**2 + g*k and give a.
76
Rearrange -3*j**4 - 4*j**4 + 3*j**4 + (j - j - j**3)*((2 - 1 - 3)*(4*j + 0*j - 3*j) - 6*j - 4*j - 4*j) to
|
{
"pile_set_name": "DM Mathematics"
}
|
2*s + 3*s - 6 = 0, -h + s + 2 = 0. Let g = -0.6 - -1. Which is the closest to h? (a) -0.4 (b) 1 (c) g
b
Let a = -5.1127 + 0.1127. Let w = -4/45 + -38/45. Let s = w - -3/5. What is the nearest to -2/7 in -2/7, a, s?
-2/7
Suppose -4*m = -b + 6, -4*b = 13*m - 12*m - 58. Let y = -2.2 - -0.2. What is the closest to 2/3 in 0.1, b, y?
0.1
Let q be 2/(-3) - (1 - (0 + 2)). Let r(k) = -2*k**2 - 9*k + 5. Let m be ((-5)/(-3))/((-4)/12). Let h be r(m). Which is the closest to h? (a) 6 (b) -1 (c) q
c
Let r = -0.01 - 0.39. Let k = r + -0.1. Suppose 3*m + 27 - 12 = 0. Which is the closest to -2? (a) m (b) k (c) 2
b
Let t = -35 + 38. Let n = 5 + 2. Let w = -6.5 + n. Which is the nearest to 1? (a) t (b) 4/9 (c) w
c
Let z = 15060 - 858383/57. Let l = z - 6/19. What is the nearest to 1/4 in 0.4, l, 0?
l
Suppose z + 3 = 0, t + 4*z - 36 = 8*z. Let y be (-56)/t + 1*2. Which is the closest to y? (a) -5 (b) -2/13 (c) -0.4
c
Let a be 4/10*(-5)/9. Suppose 6*j - 130 = 11*j. Let z be 20/50 - j/(-40). What is the closest to 1 in -3, z, a?
a
Suppose 12 = -5*r + r - 2*n, -3*r + 4*n - 20 = 0. Let i = 0.0552 - 5.1852. Let w = -0.13 - i. Which is the closest to w? (a) 5 (b) 1/3 (c) r
a
Let n be 3 - (10/4 - 66/44). Let w = -9 - -6. Let v = w + -1. Which is the closest to 1? (a) v (b) n (c) 4
b
Let k = -57.15 + 5.55. Let r = k + 52. Which is the nearest to 0.1? (a) -3/4 (b) -4 (c) r
c
Let o be (198/(-1605))/((-3)/(-15)). Let z = o + 8464/13375. Let l = z - -23/125. What is the nearest to 0 in l, 4/5, -1?
l
Let l(i) = -i**2 - 18*i - 16. Let p be l(-17). Let r be p/((-27)/9)*(-6)/4. Which is the closest to r? (a) -1/6 (b) -1.2 (c) 0.3
c
Let p = -36 + 18. Let v = p - -14. What is the nearest to 7 in 3, -5, v?
3
Let h = -0.072 + 3.092. Let n = h - 0.02. Let u be 12/45*(-6)/(-4). Which is the closest to -1? (a) n (b) u (c) 7
b
Let d = 0.05 + -1.05. Let o(k) = k**2 - 8*k - 2. Let i be o(8). Let m be i + 5 + (-1 - -3). Which is the nearest to d? (a) m (b) -3 (c) -0.3
c
Let h(f) = f**3 + 8*f**2 - 7*f + 21. Let o be h(-9). Let j be 12*-1*o/9. Which is the nearest to -2/3? (a) -0.08 (b) j (c) 0
a
Let g = -2410/9 - -268. Let i = -160/3 + 1129/21. Which is the closest to 0.2? (a) 2/23 (b) g (c) i
b
Let z = 0.8 + -0.5. Let v = z - 0.4. Let h = 415 - 411. What is the closest to 1/2 in -4, h, v?
v
Let t = -5 - -4. Let w = 0.049 + -0.149. Let p = 0.2 + 0.2. Which is the closest to t? (a) p (b) w (c) -3/2
c
Let r be (-2500)/(-24) - 2/12. Let x = 103 - r. What is the nearest to x in 36, 1/6, 0.2?
1/6
Suppose -7*y + 28 = -0. Let m(w) = w**3 - 11*w**2 + 11*w - 9. Let d be m(10). Which is the closest to d? (a) y (b) -1/3 (c) -1/7
c
Let f = -0.02 - 0.48. Let p be 1/((-147)/36 + 4). Let j be 1 + 0 - (-4)/p. What is the nearest to -2 in 5, j, f?
f
Let p = 81 + -81. What is the closest to p in -1, -11/3, -2?
-1
Let h = 181.6 + -166. Let m = h - 16. Which is the closest to -1? (a) m (b) 0.3 (c) 11
a
Let x = 4 - -1. Let n be (-8)/70 - (168/15)/(-28). Which is the closest to n? (a) -0.3 (b) 0.3 (c) x
b
Let n = 396 + -2377/6. What is the closest to -2 in -2, 3, n, 4?
-2
Let x = 735 - 735.2. Let l = 8 - 7.7. What is the closest to x in -1, -0.3, l?
-0.3
Let q = -99 - -100. What is the closest to -2 in -0.2, -2, q?
-2
Let n = -23.7 + 23.7. What is the nearest to n in 90, -0.5, -1/7?
-1/7
Let d = 91/2 - 46. Let y = -0.2 + 0.8. Let w = y + -1.6. What is the nearest to w in -5, -1, d?
-1
Let u = -109.3 + 109. Which is the closest to u? (a) 5 (b) 0.3 (c) -2/7
c
Let v be (2/3)/((-20)/6). Let r = 348.8 - 349. Which is the nearest to r? (a) -0.4 (b) v (c) 4
b
Let p = 0.67 - -33.33. Let w = 34.2 - p. What is the nearest to -1 in w, -0.1, 4?
-0.1
Let t be 242/198 + 2/(-9). What is the closest to 1 in 3/2, t, 4?
t
Let r = 47/18 + -35/18. Which is the nearest to 2? (a) 5 (b) 0.2 (c) r (d) -3/8
c
Let v = -732 + 655.7. Let u = -76 - v. Suppose n = -3*w - 2, -n - 4*n = -4*w - 28. Which is the nearest to -1? (a) -3/4 (b) u (c) w
a
Let j be 0 + (-1 + -2 - 1). Let y be (-2)/j*(-6)/8. Which is the closest to 0? (a) -1/4 (b) 0 (c) y
b
Let f = -2 - -2.1. Let l = -0.73 + 6.53. Let v = 5.4 - l. What is the nearest to f in -3, v, 2?
v
Let k = -1.03 + 0.63. Let j be (-2 + -1)*(-4)/6. Let d(h) = h**2 - h. Let c be d(j). What is the closest to k in -3/8, -0.4, c?
-0.4
Let d = 3.6 + -5.3. Let h = -1.7 - d. Let u = h - 0.2. What is the closest to 0 in -2, 4, u?
u
Let d be (-20)/(-6) + 0 - (3 - 1). Which is the closest to 82? (a) 10 (b) 1/7 (c) d
a
Let j = -3 - -2.5. Let x = 14.21 + -31.21. What is the nearest to 2/5 in j, x, 5?
j
Let o = -44.1 - -43.1. Let v = 11 + -6. Which is the closest to 0? (a) v (b) o (c) -0.2
c
Let b = 0.2 + 0. Let p be ((-12)/(-80))/((-39)/(-36) - 1). Let w = -13/10 + p. What is the closest to b in -0.5, 4/3, w?
w
Let g be (-11)/(385/(-18)) + (-32)/40. Which is the nearest to g? (a) 3 (b) 5 (c) -0.2 (d) 0.07
c
Suppose 5*x + 25 = -0. Let y be ((-3)/6)/(x/40). Let r = -1 + 0. Which is the nearest to y? (a) r (b) 4 (c) 4/9
b
Let v = -23 + 23. Suppose 6*y + 15 - 39 = v. What is the nearest to -1 in 0, y, 10?
0
Let w = -3.99 + -0.01. Let x = 115 - 111. Let s = -0.9 + -0.1. Which is the nearest to s? (a) x (b) -5 (c) w
c
Let n = -0.17 + 0.17. Let m(l) = l**3 - 11*l**2 - 10*l - 33. Let h be m(12). Which is the closest to n? (a) -1 (b) h (c) 4
a
Let y be 1*(6 + -2 + 1). Let k be (-2)/y + 2/30. Suppose 4*i - 3*u - 4 = 0, 4*i - u + 24 = -5*u. What is the nearest to k in 3/8, i, -0.05?
-0.05
Let q = 1 + -0.9. Let i = 1.97 - -0.03. Let u = i - 3. Which is the nearest to u? (a) -0.5 (b) 2/5 (c) q
a
Let n = -1.1 - -0.8. Let r = -0.31 - -1.41. Let u = 0.9 - r. What is the closest to u in n, 0.4, -0.5?
n
Let j(u) = -u**3 - 8*u**2 - 6*u + 9. Let i be j(-7). Let w = 0.048 - 0.148. Let q = 15 + -14. Which is the closest to w? (a) i (b) q (c) 3
b
Let h = 0.276 - 0.076. What is the nearest to -8 in 5, h, 3?
h
Suppose -37*w - 26 - 122 = 0. What is the closest to 0.2 in -1, 3, w?
-1
Let y = -17 - -14. Let i(x) = -x**2 - 3*x + 1. Let r be i(y). What is the closest to r in -1/9, 2, 0.2?
0.2
Let t = 2.613 - -0.387. What is the closest to -2/9 in -2/19, t, 0.4?
-2/19
Let o = -0.052 - 0.248. Let k(u) = u**2 + 13*u + 43. Let l be k(-7). Which is the nearest to o? (a) -2 (b) l (c) -3
b
Let b be (-296)/(-222) - (-1)/(-1). Suppose 2*f - 1 = 3*f. Let p = f - -5. What is the closest to b in 0.4, -0.5, p?
0.4
Let j = 0.12 - -4.88. Let v = 10.6 + -10.1. Let y = 0.3 - v. Which is the closest to 0.2? (a) j (b) -4 (c) y
c
Let f = 15 - 17. Let i = 8 - f. Let m = -10.5 + i. What is the nearest to -2/9 in -1, 0.2, m?
m
Let q = 105 + -1574/15. Let r = q - -71/60. Let n = 32/63 + -2/7. Which is the closest to -0.1? (a) -4 (b) n (c) r
b
Let h = 19 + -22. Let r = h - -2.7. Let f = -2 + 2.1. Which is the nearest to 2/9? (a) 1 (b) f (c) r
b
Let o = -93.9 + 89. Let t = o + 1.9. What is the nearest to 0 in t, 2/7, 7?
2/7
Let w = -0.5 + 0.6. Let p be 2/(-7) + (-24)/(-35). Let l be -1*(-13)/4 - (-3)/(-12). Which is the nearest to -0.1? (a) l (b) w (c) p
b
Let r(m) = 16*m**2. Let f be r(1). Let z be 1/(-4) + 6/f. Let t = -3890 + 3888. What is the closest to 1 in -1, z, t?
z
Let p be 10/28 + 75/525. Which is the closest to -15? (a) p (b) -5 (c) -3
b
Let c = -52 + 52.3. Let o = 0.16 - 0.36. What is the nearest to -0.2 in 5, c, o?
o
Let m be -3 + (-48)/(-12) + (-22)/16. What is the nearest to 3 in m, 5, 0?
5
Suppose 8 + 9 = -q. Let s(z) be the first derivative of -z**2 - 29*z + 3. Let w be s(q). What is the nearest to 2 in 2, 4, w?
2
Let x = -17.78 - -32.78. Which is the nearest to 1/2? (a) x (b) -3 (c) 0.1 (d) -0.5
c
Suppose -5*x = -0*h + h + 17, -5*x + h - 13 = 0. Let i = 3 - 4. Which is the nearest to 0.2? (a) 0.4 (b) x (c) i
a
Let x = -3.6 + 5.6. Let d = 0.8 - -3.2. Let p = -6 + d. Which is the nearest to 1? (a) 3 (b) p (c) x
c
Let v = 0.038 + 4.062. Let n = v - 1.1. Let r = 1 - n. Which is the nearest to r? (a) 5 (b) -2 (c) 1
b
Let m = 2415 - 4827/2. Which is the nearest to 0.07? (a) m (b) -0.1 (c) 4/5 (d) 2/15
d
Let k = 16 - 23. Let q = k - -15/2. Which is the nearest to q? (a) -5 (b) 2/3 (c) 4
b
Let i be (0 - 15/(-10))*40/(-6).
|
{
"pile_set_name": "DM Mathematics"
}
|
5515?
5726
What comes next: -7261, -7199, -7137, -7075, -7013?
-6951
What is next in 1461, 218, -3159, -9738, -20587?
-36774
What comes next: 13677, 13679, 13681, 13683, 13685, 13687?
13689
What is next in 308, 379, 492, 641, 820, 1023, 1244?
1477
What comes next: 7973, 15959, 23945?
31931
What is the next term in -18333, -36669, -55019, -73389, -91785, -110213, -128679?
-147189
What is next in 343, 1162, 2527, 4438, 6895?
9898
What is the next term in -159, -40, 169, 474, 881, 1396, 2025?
2774
What comes next: -8853, -35407, -79665, -141627, -221293, -318663, -433737?
-566515
What comes next: -1504, -3027, -4552, -6079, -7608?
-9139
What comes next: 111345, 222684, 334023, 445362, 556701?
668040
What comes next: -122, -240, -440, -722, -1086?
-1532
What is the next term in 56, -81, -204, -307, -384, -429, -436, -399?
-312
What is next in -324, -1291, -2904, -5163?
-8068
What is next in -4690, -18758, -42204, -75028, -117230, -168810, -229768?
-300104
What comes next: 87, 303, 651, 1131?
1743
What is next in -1710, -3293, -4876?
-6459
What comes next: -59113, -59098, -59083, -59068?
-59053
What is the next term in -1266, -1261, -1256, -1251?
-1246
What is the next term in 174169, 174174, 174183, 174196, 174213, 174234?
174259
What is next in 339, 1582, 3663, 6588, 10363?
14994
What is the next term in -2824, -3331, -3836, -4339, -4840, -5339?
-5836
What comes next: -2407, -5340, -8797, -12778?
-17283
What comes next: 1631, 3259, 4885, 6515, 8155, 9811?
11489
What is next in 1032, 2058, 3084, 4110, 5136, 6162?
7188
What comes next: 357, 289, 243, 225, 241, 297?
399
What comes next: -226, -907, -2086, -3763, -5938?
-8611
What is the next term in -62, 35, 232, 547, 998, 1603, 2380?
3347
What comes next: -3779, -3776, -3773, -3770, -3767, -3764?
-3761
What is the next term in 1300, 5347, 12090, 21529, 33664, 48495, 66022?
86245
What comes next: -8788, -8782, -8788, -8812, -8860, -8938, -9052, -9208?
-9412
What is next in 30878, 61752, 92626, 123500, 154374, 185248?
216122
What is next in -97, -137, -141, -91, 31, 243, 563, 1009?
1599
What is next in 1101, 2739, 5463, 9267, 14145, 20091?
27099
What is the next term in 97032, 97023, 97008, 96987, 96960, 96927, 96888?
96843
What is the next term in -4607, -4599, -4601, -4613, -4635?
-4667
What is next in 2211, 2080, 1949, 1818?
1687
What is the next term in 222, 1561, 5058, 11751, 22678, 38877, 61386, 91243?
129486
What comes next: 130, 200, 248, 268, 254, 200?
100
What comes next: 560, 836, 1100, 1346, 1568, 1760, 1916?
2030
What comes next: 234, 556, 878, 1200?
1522
What is next in 7370, 7264, 7158?
7052
What is the next term in -1070, -1045, -988, -887, -730, -505, -200, 197?
698
What comes next: -1076, -4337, -9770, -17375, -27152, -39101, -53222?
-69515
What is the next term in -55022, -55014, -55000, -54980, -54954?
-54922
What is the next term in 1527, 1668, 1809?
1950
What comes next: 8, 12, 14, 14, 12, 8, 2?
-6
What is next in -238, -555, -898, -1273, -1686, -2143, -2650?
-3213
What is the next term in 7294, 14489, 21686, 28885, 36086, 43289, 50494?
57701
What is the next term in 162, 466, 1142, 2376, 4354, 7262?
11286
What is next in -442, -461, -464, -445, -398, -317, -196?
-29
What is next in 7098, 14197, 21296, 28395, 35494?
42593
What is next in 20127, 80521, 181181, 322107, 503299, 724757?
986481
What is the next term in -61226, -244895, -551012, -979577, -1530590?
-2204051
What is next in -30413, -30412, -30411, -30410, -30409, -30408?
-30407
What is next in 948, 1879, 2800, 3711, 4612, 5503, 6384?
7255
What is next in -487, -2849, -7089, -13207?
-21203
What is the next term in 230257, 230261, 230267, 230275, 230285?
230297
What is next in 38741, 77470, 116199, 154928, 193657?
232386
What is the next term in 72879, 72764, 72647, 72528, 72407, 72284?
72159
What is the next term in 9825, 9809, 9793?
9777
What comes next: 1118, 1108, 1096, 1082, 1066, 1048, 1028?
1006
What is next in -53722, -107445, -161168?
-214891
What is next in 1, 39, 111, 223, 381, 591, 859?
1191
What is next in 20335, 40691, 61051, 81415, 101783?
122155
What is next in 1072, 1046, 1016, 982, 944, 902, 856?
806
What comes next: 39764, 39767, 39776, 39797, 39836, 39899, 39992, 40121?
40292
What is next in 16, -106, -508, -1328, -2704?
-4774
What is next in 32, 2, -28?
-58
What comes next: 1052, 1189, 1326?
1463
What comes next: 11329, 22653, 33977?
45301
What is next in 7936, 15863, 23788, 31711?
39632
What is next in -774, -1588, -2408, -3240, -4090, -4964?
-5868
What comes next: -150, -271, -480, -783, -1186, -1695, -2316, -3055?
-3918
What comes next: 1390221, 1390212, 1390193, 1390158, 1390101, 1390016, 1389897?
1389738
What is the next term in 1007, 2369, 3731, 5093, 6455, 7817?
9179
What is the next term in 95561, 95558, 95555, 95552, 95549, 95546?
95543
What is next in -285, -307, -369, -489, -685, -975, -1377?
-1909
What comes next: -1571, -1686, -1801, -1916?
-2031
What is next in -6762, -6587, -6414, -6243?
-6074
What is the next term in -8344, -8331, -8318, -8305?
-8292
What is next in -4126, -8210, -12294?
-16378
What is next in 463136, 463140, 463154, 463184, 463236?
463316
What is the next term in 28735, 28748, 28769, 28798, 28835, 28880?
28933
What comes next: 1273, 10163, 34281, 81241, 158657, 274143, 435313?
649781
What is the next term in -402, -777, -1146, -1503, -1842, -2157, -2442?
-2691
What comes next: 1723, 14079, 47613, 112915, 220575, 381183?
605329
What is next in 561, 512, -137, -1686, -4435, -8684?
-14733
What comes next: 67488, 134975, 202462?
269949
What is next in -340, -452, -568, -688, -812?
-940
What is next in -1098, -2215, -3346, -4497, -5674?
-6883
What comes next: 766, 3141, 7106, 12661, 19806, 28541, 38866?
50781
What comes next: -396, -297, -184, -57?
84
What is the next term in -128531, -257071, -385621, -514181, -642751, -771331, -899921?
-1028521
What comes next: -1402, -1790, -2426, -3304, -4418?
-5762
What is the next term in 12456, 12455, 12454, 12453, 12452?
12451
What is the next term in -28, 121, 462, 1001, 1744, 2697, 3866, 5257?
6876
What comes next: -864829, -864832, -864835, -864838, -864841, -864844?
-864847
What comes next: 4093, 8236, 12373, 16498, 20605, 24688, 28741?
32758
What is next in 149048, 298084, 447120, 596156, 745192, 894228?
1043264
What comes next: 1211, 1381, 1551, 1721, 1891, 2061?
2231
What is next in -12864, -12871, -12880, -12891, -12904, -12919?
-12936
What is next in -286, -1084, -2404, -4240, -6586, -9436, -12784?
-16624
What is the next term in 25260, 25386, 25590, 25866, 26208, 26610?
27066
What comes next: -10642, -21278, -31918, -42562, -53210, -63862, -74518?
-85178
What is the next term in -346, -408, -186, 320?
1110
What is the next term in -76, -101, -170, -289, -464?
-701
What comes next: -28248, -28245, -28242, -28239?
-28236
What is the next term in 25642, 25649, 25660, 25675, 25694?
25717
What is the next term in 570, 510, 452, 396, 342?
290
What is the next term in 11489, 45969, 103435, 183887, 287325?
413749
What is the next term in -214, -419, -618, -811, -998, -1179, -1354?
-1523
What comes next: 48743, 97491, 146241, 194993, 243747?
292503
What comes next: 39346, 39343, 39338, 39331, 39322, 39311?
39298
What is the next term in -1485, -1478, -1471?
-1464
What is the next term in -518895, -518888, -518867, -518826, -518759, -518660, -518523?
-518342
What comes next: 1021, 2036, 3021, 3964, 4853, 5676, 6421, 7076?
7629
What comes next: -1929, -3887, -5865, -7869, -9905, -11979, -14097, -16265?
-18489
What comes next: 2985219, 2985220, 2985223, 2985228, 2985235, 2985244?
2985255
What comes next: -465, -317, -167, -15?
139
What comes next: 87, 122, 195, 306, 455, 642, 867?
1130
What is next in 484, 409, -220, -1403, -3140?
-5431
What is the next term in -10178, -20377, -30578, -40781?
-50986
What is next in 2055, 4105, 6155, 8205, 10255?
12305
What comes next: -21217, -21228, -21241, -21256, -21273?
-21292
What comes next: 5228, 10457, 15686, 20915, 26144, 31373?
36602
What is next in 325, 175, 11, -173, -383?
-625
What is the next term in -728, -765, -834, -941, -1092, -1293, -1550?
-1869
What is next in 1919, 3883, 5823, 7727, 9583?
11379
What comes next: 826, 850, 892, 958, 1054?
1186
What is next in 5629, 11253, 1687
|
{
"pile_set_name": "DM Mathematics"
}
|
is the second derivative of -4*h + 3*h + 2*h - 2*h**z wrt h?
-12*h
Let f(p) = 2*p**2 + 11*p + 3. Let k(w) = w**2 + w. Let r(m) = -f(m) + 3*k(m). Let q be r(9). Differentiate -6*d - 1 + q*d - 2*d**3 wrt d.
-6*d**2
Let w(o) be the third derivative of 2*o**5/15 - o**3/6 + 2*o**2. What is the first derivative of w(l) wrt l?
16*l
Let k(v) be the third derivative of -v**5/40 - v**4/3 - v**3/2 + 9*v**2. Let s(g) be the first derivative of k(g). Differentiate s(h) with respect to h.
-3
Let l(b) = 3*b. Let f be l(1). What is the third derivative of f*r**2 + 3*r**2 - 2*r**2 + 2*r**4 + 0*r**2 wrt r?
48*r
Let w(i) be the third derivative of i**7/42 - i**5/60 + 6*i**2. Find the third derivative of w(t) wrt t.
120*t
Let d(i) = -17*i - 19. Let n(q) = 18*q + 18. Let f(h) = 4*d(h) + 3*n(h). Differentiate f(w) wrt w.
-14
Find the first derivative of 52*b**4 + 48*b**4 - 92*b**4 - 14 wrt b.
32*b**3
Let m(u) be the third derivative of -u**7/30 + 11*u**5/60 - 10*u**2. Find the third derivative of m(n) wrt n.
-168*n
Find the third derivative of 26*f**2 - 2*f + 347*f**3 - 173*f**3 - 112*f**3 wrt f.
372
Let j(b) be the third derivative of b**5/20 - b**4/4 + 11*b**2. Find the second derivative of j(z) wrt z.
6
Let a(f) be the second derivative of f**7/504 + f**5/120 - 7*f**4/12 - 7*f. Let j(x) be the third derivative of a(x). Differentiate j(q) wrt q.
10*q
Let q(a) be the first derivative of 0*a**2 + 0*a + 0*a**4 + 3/7*a**7 + 0*a**5 + 5 + 0*a**6 + 1/3*a**3. What is the third derivative of q(o) wrt o?
360*o**3
Let d(n) = n - 2. Let b be d(2). Let r = 2 - b. Find the first derivative of -15*p**r - p**3 - 1 + 15*p**2 wrt p.
-3*p**2
Let x(l) = 2*l**3 + 9*l**2 - 3*l. Let c(z) = 5*z**3 + 26*z**2 - 8*z. Let v(u) = 3*c(u) - 8*x(u). What is the third derivative of v(b) wrt b?
-6
Let p(k) = k**2 - 1. Let f be p(-2). Find the first derivative of 0*o + 2*o - 2*o + 2 + 2*o**f wrt o.
6*o**2
Let g(p) be the first derivative of 0*p - 3 + 0*p**3 - 1/2*p**4 + 2*p**2. Find the second derivative of g(q) wrt q.
-12*q
Let j be (-33)/7 - (-4)/(-14). Let t = j - -9. Find the second derivative of -3*f**4 - 2*f + f + f**t wrt f.
-24*f**2
Let q = -8 + 14. Suppose 0 = -5*h + q + 9. Find the second derivative of -5*s**2 + 4*s**2 + h*s**2 + s wrt s.
4
Let w be (-2)/(-5) - 4/10. Let c be w - (-2 - -1) - -1. What is the third derivative of -z**6 + 0*z**6 - 3*z**2 + z**c wrt z?
-120*z**3
Let k be (-1 - 1)/(2 - 0). Let c be (-3 - -3)/(0 + k). What is the third derivative of 2*o**2 - 4*o**5 + c*o**2 + 6*o**5 wrt o?
120*o**2
Suppose 4*g = -61 + 21. Let j = g + 14. What is the third derivative of -d**j - d**2 + 0*d**2 + 0*d**4 wrt d?
-24*d
Let v(a) be the second derivative of 0 + 0*a**3 + 1/4*a**4 + a + 0*a**5 + 1/30*a**6 + 0*a**2. Find the third derivative of v(f) wrt f.
24*f
What is the first derivative of -10*o**2 + 9*o**2 + 15 + 8*o**2 + 7*o**2 wrt o?
28*o
Let o(i) = -i + 1. Let n(k) = 12*k - 21. Let g(c) = n(c) + 15*o(c). What is the first derivative of g(z) wrt z?
-3
Let b be (1 + 1 + 4)*-1. Let n = 9 + b. What is the second derivative of 3*c + n*c**5 - 4*c**5 - 2*c wrt c?
-20*c**3
Suppose 0 = 3*g - 5*g. Suppose -12 + g = -4*t. Find the second derivative of 0*s - 6*s**4 - s**4 + 3*s + t*s**4 wrt s.
-48*s**2
Let s(o) = 3*o**3. Let i(g) be the second derivative of -g**2/2 - g. Let r(u) = -2*i(u) - s(u). Find the first derivative of r(d) wrt d.
-9*d**2
Let c(z) = z**3 + 1. Let n(k) = 5*k**4 - 2*k**3 + 8*k**2 - 2. Let q(d) = 2*c(d) + n(d). What is the third derivative of q(r) wrt r?
120*r
Find the third derivative of 43*m**2 - 26*m**2 + 3*m**4 - 3*m**4 + 10*m**5 wrt m.
600*m**2
Let c be (-44)/(-56) + (-2)/7. Let v(y) be the second derivative of c*y**2 - 1/10*y**5 + 0 + 0*y**3 - y + 0*y**4. Find the first derivative of v(u) wrt u.
-6*u**2
Let s(g) be the first derivative of -g**5/20 - 3*g**2/2 + 6*g - 5. Let q(n) be the first derivative of s(n). Differentiate q(h) wrt h.
-3*h**2
Let w(f) be the second derivative of 0 - 3*f + 1/3*f**4 + 0*f**3 + 2*f**2. Differentiate w(p) with respect to p.
8*p
Suppose -5*i = -4*i - 16. Find the third derivative of -3*n**6 + i*n - 16*n + 2*n**2 wrt n.
-360*n**3
Let i(v) = 84*v**4 - 8*v**3 + 11*v**2 + 11*v - 171. Let w(s) = -28*s**4 + 3*s**3 - 4*s**2 - 4*s + 57. Let r(n) = 4*i(n) + 11*w(n). Differentiate r(c) wrt c.
112*c**3 + 3*c**2
What is the third derivative of -887*g**4 + 8*g**2 - 9*g**6 + 887*g**4 wrt g?
-1080*g**3
Let z be (-2)/6 + (-14)/(-6). Let k = z + 1. What is the first derivative of 2*t**k + 3 - 4 + t**3 wrt t?
9*t**2
Suppose 21*w - 24*w = 0. Let n(g) be the first derivative of 0*g**4 + 1 + g**3 + 0*g**2 - 3/5*g**5 + w*g. What is the third derivative of n(z) wrt z?
-72*z
Suppose 3*r - 2*r = 4*a + 102, 2*r + 96 = -4*a. Let i be (-5)/a + 28/10. What is the first derivative of -4*d - 5*d + i*d - 4 + 4*d wrt d?
-2
Find the second derivative of -2*u**5 + 13*u - 4*u**5 + 0*u - 5*u**5 wrt u.
-220*u**3
Let d(f) be the second derivative of 9*f**8/56 - 9*f**4/4 - 27*f. What is the third derivative of d(k) wrt k?
1080*k**3
Let i(c) be the second derivative of -15*c**3/2 + 33*c**2/2 - 3*c + 6. What is the derivative of i(p) wrt p?
-45
Let o(c) = -c + 16. Let u be o(11). Differentiate 0*r - 1 - u*r + 2*r wrt r.
-3
Let l(h) be the first derivative of h**8/1680 - h**6/360 - 8*h**3/3 + 5. Let s(b) be the third derivative of l(b). What is the third derivative of s(u) wrt u?
24*u
Suppose -10*w = -11*w. Let k(f) be the first derivative of -1/3*f**3 + 0*f**2 + 0*f**5 + 0*f**4 - 1 + w*f - 1/6*f**6. Find the third derivative of k(o) wrt o.
-60*o**2
Let y(r) be the first derivative of -r**5/5 + 6*r + 9. Find the first derivative of y(b) wrt b.
-4*b**3
Let d(f) = f**3 + 4*f**2 - 4*f + 5. Let k be d(-5). Let a(c) be the first derivative of -3 - c + 0*c**4 - 2/5*c**5 + k*c**2 + 0*c**3. Differentiate a(l) wrt l.
-8*l**3
Suppose -12 = 2*z - 6*z. Find the second derivative of -3*n**3 - 3*n - n**z - 2*n**3 + 4*n**3 wrt n.
-12*n
Suppose 2*g = -g - 18. Let b be 3*(1 + g/(-9)). Find the second derivative of -3*v**b - 4*v**5 + 5*v**5 - v wrt v.
-40*v**3
Let a(l) be the third derivative of -l**6/12 - 7*l**5/60 - 3*l**2. Find the third derivative of a(r) wrt r.
-60
Let x(h) = h**2 + h. Let z(m) = 25*m**2 + 2*m + 3. Let a(i) = 2*x(i) - z(i). What is the derivative of a(d) wrt d?
-46*d
Let n be -2*(-2 + 33/18). Let y(k) be the third derivative of 0*k + 0 + n*k**3 + 1/12*k**4 + k**2. What is the derivative of y(i) wrt i?
2
Let c(n) be the third derivative of 3*n**2 + 0*n - 7/60*n**5 + 0*n**3 + 0*n**4 + 0 + 1/40*n**6. Find the third derivative of c(x) wrt x.
18
Differentiate 4*s**2 - 11*s**2 - 10 - 12*s**2 wrt s.
-38*s
What is the first derivative of -7*t**2 + 7*t**2 - 33*t**3 + 3 wrt t?
-99*t**2
Let u(z) = -5*z - 1. Let d(w) = w**3 - 6*w**2 + 5*w - 1. Let t be d(5). Let q be u(t). Find the second derivative of 2*y**4 - 3*y**4 - q*y + 3*y wrt y.
-12*y**2
Let d be (0 - -5 - 3)*2. What is the derivative of -d*k**4 - 3 + 4 + 3*k**4 + 2 wrt k?
-4*k**3
Suppose c + 15 = -2*o + 7*o, -5*o + 35 = -5*c. Find the first derivative of 2 + 3*m + o*m - 4*m - 4*m wrt m.
-3
Let o be (-8)/(-20) + (-8)/(-5). What is the second derivative of 2 - 5*w - o - 5*w**4 - 2*w wrt w?
-60*w**2
Let c(u) be the second derivative of u**4/3 - 2*u**3/3 + 3*u. Let m(h) = 9*h**2 - 8*h. Let n(f) = -5*c(f) + 2*m(f). Find the second derivative of n(t) wrt t.
-4
Suppose -4*l + 4 = -3*l. Find the third derivative of 4*h**5 - h**2 + 2*h**2 + 0*h**2 - l*h**2 wrt h.
240*h**2
Find the third derivative of -217*w**2 - w**3 - 3*w**4 + 211*w**2 + w**3 wrt w.
-72*w
Let v(d) be the third derivative of -17*d**4/24 - 23*d**3/6 - 45*d**2. Differentiate v(y) with respect to y.
-17
What is the third derivative of -35*o**2 + 27*o - 27*o - 8*o**5 + 40*o**5 wrt o?
1920*o**2
Let r(v) = v**3 - 10*v**2 + v - 8. Let q be r(10). What is the second derivative of 2*o**4 - 3*o**4 + q*o**4 + 5*o - 2*o wrt o?
12*o**2
Find the second derivative of 8331 + 30*t**3 - 8331 + 20*t wrt t.
180*t
Let g = -13 - -8. Let v = -1 - g. What is the first derivative of 4 + 1 - v - n**3 wrt n?
-3*n**2
Suppose -2*u + 18 = -3*c + u, -5*c + 3*u - 22 = 0. Let k = 4 + c. Find the third derivative of f**4 - 2*f**3 + k*f**3 + 2*f**2 wrt f.
24*f
Let y(d) be the second derivative of d**8/
|
{
"pile_set_name": "DM Mathematics"
}
|
is 1100101101001101001 + -10101011?
1100101100110111110
In base 8, what is 17 + -76303062?
-76303043
In base 4, what is 0 - 1201313012?
-1201313012
In base 3, what is 10 + 111211002210120?
111211002210200
In base 9, what is 8 + 80421473?
80421482
In base 12, what is 1a3199a - -b?
1a319a9
In base 12, what is a723 - -40?
a763
In base 5, what is -2220 - 313424?
-321144
In base 9, what is -44 - 3221121?
-3221165
In base 5, what is -234001 + 13103?
-220343
In base 10, what is -1802 - -3013?
1211
In base 8, what is 3366 + 2743?
6331
In base 2, what is -10110111110001 + -1111010110?
-11000111000111
In base 7, what is -166130535 - 0?
-166130535
In base 13, what is -8600 + 4163?
-446a
In base 11, what is 15752 + -3463?
1229a
In base 3, what is -1010121 + 11021220200?
11020210002
In base 9, what is 240 - 28730?
-28480
In base 12, what is -1092227 + 4?
-1092223
In base 11, what is -69703275 + 2?
-69703273
In base 12, what is -3 - -a249a08?
a249a05
In base 3, what is 10100100 + -22112020?
-12011220
In base 7, what is 103546 + -5151?
65365
In base 6, what is -333525022 - -3?
-333525015
In base 10, what is 7781 - -5486?
13267
In base 11, what is 167a779a - 2?
167a7798
In base 16, what is -37 + -3ee29?
-3ee60
In base 12, what is 2289 - 207b6?
-1a529
In base 11, what is 3543 - 53?
34a0
In base 10, what is 724692 + -7?
724685
In base 15, what is -1a + -21bc74?
-21bc8e
In base 16, what is -9 - 32d3f85?
-32d3f8e
In base 3, what is -100012020121010 + 1101?
-100012020112202
In base 5, what is -232102103 - 4?
-232102112
In base 14, what is -27 - 3b63b5?
-3b63dc
In base 2, what is -110101100110111010 + 1000011001?
-110101011110100001
In base 9, what is 86 + 1355670?
1355766
In base 12, what is -1083b - -1184?
-b677
In base 14, what is 3a - -7c9aa?
7ca06
In base 14, what is -b4 - 21bca?
-21ca0
In base 12, what is 2589 + 25b04?
28491
In base 15, what is c9 + 7cd6?
7db0
In base 10, what is -33 - 509617?
-509650
In base 14, what is -1030d + -11a?
-10429
In base 2, what is 1000100001010010110111001001 + 10?
1000100001010010110111001011
In base 12, what is -955 - -4bab0?
4b157
In base 8, what is 2 + 24511707?
24511711
In base 15, what is 326b63 - -40?
326ba3
In base 12, what is 36a2286 + -5?
36a2281
In base 12, what is 15537b9 - -16?
1553813
In base 4, what is 11320312222323 - 0?
11320312222323
In base 8, what is 33251 + -33?
33216
In base 3, what is 20221210 - -1001001121?
1022000101
In base 13, what is 7 - 22858c9?
-22858c2
In base 10, what is -939 + -20531?
-21470
In base 8, what is -46232362 - 5?
-46232367
In base 16, what is -2b0ff12 - 3?
-2b0ff15
In base 14, what is 21 + 1a735b?
1a737c
In base 15, what is -23a8 - -1d0e?
-599
In base 4, what is 11010100121 - -1313?
11010102100
In base 11, what is -420 + -762?
-1082
In base 16, what is 16205d + 53?
1620b0
In base 9, what is -7006 - 4334?
-12341
In base 2, what is -100001011100100000 + -101000?
-100001011101001000
In base 10, what is 763269 - -76?
763345
In base 9, what is -855 - -1783827?
1782862
In base 13, what is -2c72 - -a?
-2c65
In base 12, what is -b33 + 14a37?
13b04
In base 12, what is 8a3aba3 - 0?
8a3aba3
In base 15, what is -1597d96 + e?
-1597d87
In base 3, what is -1120112021 - 101101002?
-1221220100
In base 9, what is -10 + -266380?
-266400
In base 13, what is -1484 + -39b8?
-516c
In base 5, what is -1301130 - 1113441?
-2420121
In base 9, what is 411756 + 8?
411765
In base 5, what is -22 + 404404343?
404404321
In base 14, what is 19 - 44c5?
-44aa
In base 6, what is 1102422 + -340?
1102042
In base 3, what is 1 - 12112120020101?
-12112120020100
In base 14, what is 338b06 + 6?
338b0c
In base 8, what is -223264 + -46?
-223332
In base 9, what is 3 + -40015543?
-40015540
In base 14, what is -5 - 140acc68?
-140acc6d
In base 2, what is -111111101001 + -101000111010?
-1101000100011
In base 10, what is 3092581 + -3?
3092578
In base 11, what is -4 - -a42a0a0?
a42a097
In base 4, what is -130102003 + 32?
-130101311
In base 16, what is 7165 - -261?
73c6
In base 2, what is 1011111000101000100011100 + 101?
1011111000101000100100001
In base 11, what is 383 + 19a1?
2274
In base 7, what is 1620 - -15132052?
15134002
In base 9, what is -3 + -56233382?
-56233385
In base 14, what is 699c1 + 32?
69a13
In base 5, what is 10 + -30431011030?
-30431011020
In base 16, what is -27aa1a + -4e?
-27aa68
In base 16, what is -2a353e0f - 0?
-2a353e0f
In base 16, what is 5 - 1d68e9?
-1d68e4
In base 8, what is -1271 - -70354?
67063
In base 5, what is 103220424310 - 34?
103220424221
In base 16, what is 0 - 4a5ba9?
-4a5ba9
In base 10, what is 510 - 439405?
-438895
In base 11, what is 5 + -14a9018?
-14a9013
In base 7, what is 215161 - 3022?
212136
In base 3, what is 220121221122 + -1111?
220121220011
In base 10, what is -7534793 - 10?
-7534803
In base 11, what is 5074a6 - -31?
507527
In base 8, what is 3 + 1337203762?
1337203765
In base 11, what is -1557 + -16290a?
-164366
In base 14, what is a49d - -1676?
bb35
In base 6, what is 1 - 1223445144?
-1223445143
In base 13, what is -2253 - -1875?
-6ab
In base 2, what is -10010110 + 101001100110011?
101001010011101
In base 14, what is -241 + -128164?
-1283a5
In base 5, what is 1101 - -333410?
340011
In base 9, what is -4 - -184164431?
184164426
In base 10, what is -480881 - -4?
-480877
In base 11, what is -243917 - 33?
-24394a
In base 12, what is -24869683 - -2?
-24869681
In base 4, what is 21030023113 - 333?
21030022120
In base 2, what is 11110011101011110 - -10100101011?
11110110010001001
In base 8, what is -110304237 - 4?
-110304243
In base 6, what is -2 + -434055510?
-434055512
In base 2, what is 10000 - -11000101110100100101?
11000101110100110101
In base 14, what is 40d03 + -594?
4074d
In base 6, what is 55332224201 - 1?
55332224200
In base 11, what is 2aa72337 + -1?
2aa72336
In base 15, what is -288 - 29a10?
-29c98
In base 13, what is 119 + 13c5?
1511
In base 15, what is -147da9 + 0?
-147da9
In base 15, what is -1e554d3 + 16?
-1e554bc
In base 13, what is 3b2 - 1ab74?
-1a792
In base 15, what is -53577 - 12e?
-536a6
In base 13, what is -5160a5 + -75?
-51614a
In base 13, what is 10 + c668b?
c669b
In base 13, what is -7 + 2b3b8cb?
2b3b8c4
In base 2, what is 100110100100110010 + 110011100?
100110101011001110
In base 11, what is 103606 + 1310?
104916
In base 8, what is 1064206 + -71?
1064115
In base 10, what is -26343 + -4812?
-31155
In base 6, what is -43541511 - 25?
-43541540
In base 15, what is 3b16 - a?
3b0b
In base 8, what is 31 + 52555?
52606
In base 8, what is -16 + -5163470?
-5163506
In base 4, what is 20 + -22003310113?
-22003310033
In base 7, what is -161 + 5312603?
5312412
In base 9, what is 68274 + 538?
68823
In base 5, what is 3 - -130242430033?
130242430041
In base 8, what is 2555 + 1043006?
1045563
In base 13, what is -160b33459 + -2?
-160b3345b
In base 3, what is -122 + -222022221201?
-222022222100
In base 2, what is 10101010010001100011000 + 0?
10101010010001100011000
In base 6, what is 500 - 521130?
-520230
In base 8, what is -1064 + -33321?
-34405
In base 7, what is 3 + 535604142?
535604145
In base 12, what is -17a58 - -1b91a?
3a82
In base 4, what is 112020 + 20130130?
20302210
In base 7, what is -3 - -510216505?
510216502
In base 8, what is -234 - -1663645?
1663411
In base 15, what is 1584 + ba?
164e
In base 3, what is -20212210201 + 12022?
-20212121102
In base 13, what is 32270253 + -5?
3227024b
In base 16, what is 1809a - 2ef9?
151a1
In base 15, what is 17 + 1d1b21?
1d1b38
In base 2, what is 11 - -1000011111001010111001001?
1000011111001010111001100
In base 15, what is bb8a4 + 3d?
bb8e2
In base 14, what is -22d0a68 - -8?
-22d0a60
In base 9, what is -11 + -4537037?
-4537048
In base 11, what is -a8459 + 2a?
-a842a
In base 6, what is 1335 - -11153432?
11155211
In base 12, what is 387160 + -15?
387147
In base 12, what is 43a174 - -1a?
43a192
In base 6, what is -15305 + 2331350?
2312041
In base 16, what is 14e7ff3 - 3?
14e7ff0
In base 11, what is -612 - 89102a?
-891641
In base 3, what is 1022000 - -1212011?
10011011
In base 14, what is -3374 - -4ca8?
1934
In base 5, what is -21034120101 + -4?
-21034120110
In base 7, what is -2050 + -44203?
-46253
In base 9, what is -5 - 23242141?
-23242146
In base 3, what is 12022122 + 10120112?
22220011
In base 10, what is 10672067 + -9?
10672058
|
{
"pile_set_name": "DM Mathematics"
}
|
*(h*h/(h/h**(-27)))/h*h)**(-7)/(h**21*h*h)**(-47) assuming h is positive.
h**1256
Simplify (x**(-5)/x*x**(-2)*x)**(-3)/((x**1)**(-4/3)*(x**(-2/7))**34) assuming x is positive.
x**(673/21)
Simplify ((m**(-3/2)*m)/m**(-5/3))**(-49)/((m**(-2/13)/m**(-1/4))/((m*m*m**(-2/7))/(m/(m*m**(-2/9))))) assuming m is positive.
m**(-182705/3276)
Simplify (i**(-1/9)/(i*i*(i/i**0)/i*i*i))**1/(i**(-3/2)*i**(-4)*((i**(1/2)/i)/i)**(1/8)) assuming i is positive.
i**(227/144)
Simplify (y/(y**(1/3)/y)*y*y/(y/(y/(y**(-9)/y))*y))/((y*y*y**(2/17)*y)/(y/(y*y**(-5/4))))*(y**(1/5))**(-5)/(y**(2/9))**(2/15) assuming y is positive.
y**(89683/9180)
Simplify (((((r**(-2)/r)/r)/r)/r*r**(3/5))/(r**(-2))**(-2))/((r/(r**7/r))/((r*r**3)/r))**(2/5) assuming r is positive.
r**(-31/5)
Simplify (l/(l*l**6)*l*l/(l/l**9)*l**(-19)/l**(-6/5))**(-2/39) assuming l is positive.
l**(46/65)
Simplify ((a**6*a)/a**7)**(-4/5)*(a/(a/(a/a**1*a))*a)**(2/3)*(a/a**1)**(-4/23) assuming a is positive.
a**(4/3)
Simplify ((k**(1/3)*k*k)/k*k**(2/13))/((k/(k*(k/(k*(k**(-4)*k)/k))/k))/(k/(k**(2/7)*k)))*(k**(-1))**(-31)*(k**(5/6)*k*k)/k**(3/8) assuming k is positive.
k**(82249/2184)
Simplify ((m**(-17)*m)**(-13)/(m/m**8*m**32))**(2/21) assuming m is positive.
m**(122/7)
Simplify (((z**(7/3)/z*z)/(z**(1/9)/z*z))/(z*z**(-1/4)*z*z)**(5/7))/((z*z**(1/6)*z)/(z/z**(-4/5)))**(2/9) assuming z is positive.
z**(667/3780)
Simplify (u*u**(-4/7)*u*u**1/u*u)**(-42)*(u**(1/6)*u/(((u/(u*u/u**9*u))/u)/u*u))**(-32) assuming u is positive.
u**(158/3)
Simplify w**(-5)*w**4*w*(w**(2/5))**(-2/45)*(w**1)**(1/30)*(w*w*w/(w/(w*w*w**5))*w*w*w)/w*w**(-1/4) assuming w is positive.
w**(9689/900)
Simplify (t**6/(t/t**3)*t**3/(t/(t/t**(3/5))))/((t**(-3/5)*t)**(-45))**(-25) assuming t is positive.
t**(-2198/5)
Simplify (h*h/((h/(h*h/h**(-3)*h))/h)*h/(h/(h/(h**(-5/8)/h))))**(-48)/((h**0)**(5/4))**47 assuming h is positive.
h**(-510)
Simplify ((u/u**(-2))**(-4/21)/((u*u**(-8)*u*u*u)/u**(-2/7)))/(u**(6/11)/(u*u**(1/11)/u)*u**(2/5)*u*u**(1/4)) assuming u is positive.
u**(1599/1540)
Simplify ((h**(-3/10)/h**8*(h**(2/3))**(-49))**30)**(-38) assuming h is positive.
h**46702
Simplify ((((a**1*a)/a)/(a/a**(2/9)))/(a**0*a)**20)/(a**(-3)*a**(-2/17)*a**(-1/5)/(a*a/(a*a*a**(-6)*a))) assuming a is positive.
a**(-8767/765)
Simplify (g**(-2/3)*g**(-3/7)*g/g**1*g**3)/((g/((g**(2/3)/g)/g))**(-3/5)*g/(g/((g/(g/(g*g**(3/7)/g*g)))/g))*g**6/g) assuming g is positive.
g**(-223/105)
Simplify ((g**(-20)*g*g/g**(1/2))/(g**(3/7)*g)**(-11/7))**(-2/33) assuming g is positive.
g**(531/539)
Simplify ((a*a/(a/(a*a*a**26*a)))/(a*(a/(a/a**(-2)*a))/a*a*a)*(a**(-2/37))**(-26))**18 assuming a is positive.
a**(21582/37)
Simplify (y**(-1/7)*y**4)**(-2/5)*(y**(2/9)/y)**(-1/5)*((y*y**2)/y)**(-10) assuming y is positive.
y**(-6737/315)
Simplify ((((x*x**(-1/4))/x)/x)**(-2/3)/(x*(x/x**7)/x)**(-17))**44 assuming x is positive.
x**(-13354/3)
Simplify (s**(-12)/(s/(s*s**(-11/5))*s)*s/(s**18*s)*s*s**15)**(-45) assuming s is positive.
s**774
Simplify (((b/b**(-1))**(12/5)/(b**(-4/3)/(b**(-1/2)/b)))**(-5))**(8/3) assuming b is positive.
b**(-556/9)
Simplify ((l**(2/35)*l*l/(l**6*l*l))/((l**2*l)/(l**10/l)))**(1/29) assuming l is positive.
l**(2/1015)
Simplify ((r/r**(-7))/(r**(-1/11)*r))/(r**(-27)*r)**48 assuming r is positive.
r**(13806/11)
Simplify ((w**(-4/3)*w)/(w*w**(3/7)))**12*(w**(-1)/(w*(w*w**2/w*w*w*w)/w))**(-47) assuming w is positive.
w**(1826/7)
Simplify (y**(4/7)/(y/(y*y**(-2)/y)))**(-44)*((y**(1/2))**17)**(8/5) assuming y is positive.
y**(4216/35)
Simplify ((b/((b*b**(-11/3)/b*b)/b))/(b*b*(b*b**7*b)/b))/(b/(b*b/b**(10/7))*b*b**(-1/58)) assuming b is positive.
b**(-8215/1218)
Simplify x**6/(x**8*x)*x/(x*((x**8*x)/x*x)/x*x)*x/(x/x**(2/17))*(x/x**1)**(1/73)/((x*x*x*x**(1/3))/x)**(-22) assuming x is positive.
x**(2012/51)
Simplify (o/o**0)**(-3/5)/((o/o**1)/(o/(o*o/(((o*o**(-2)*o)/o)/o)*o)))*((o*(o**7/o)/o*o)/o*o*o*(o**(2/25)*o)/o)**(7/8) assuming o is positive.
o**(247/100)
Simplify ((p/(p**(-5)*p))/p**(-4))**14/(p/p**(-3)*p**(-6)/p*p**(-1/7)*p/(p**6/p)) assuming p is positive.
p**(932/7)
Simplify (i**(-2)/((i/i**6)/i))**6*((i/(i*(((i/(i*i**(1/4)))/i)/i)/i))/i)/(i*i/(i**(-2/17)*i))*(i*i*i**(2/5)*i*i*i)/(i/i**(-1)) assuming i is positive.
i**(9701/340)
Simplify (((((a**(1/4)/a)/a*a)/a*a)/a)**5*(a/(a*a**4*a))**34)**(-1/27) assuming a is positive.
a**(715/108)
Simplify ((p**(1/2)/p)**(-5/2))**(-1/13)/((p/p**(-2/21))/p*p*(p/(p**9*p))/p)**(-11/4) assuming p is positive.
p**(-13423/546)
Simplify ((o**(3/5)*o)/(o/o**(5/7))*(((((o/o**0)/o)/o)/o)/o)/(o/(o**4*o)*o))/(o**(-9)/(o/(o/(o**(-2/19)*o)*o)))**39 assuming o is positive.
o**(231559/665)
Simplify (u/((((u/(u/(u/((u**5/u)/u)*u)))/u)/u)/u)*u**2*u*u*(u**0)**(-42))/((u**2)**(-4/13))**(2/43) assuming u is positive.
u**(5047/559)
Simplify (l**1/(l**(1/6)/l*l*l))/(l*l**(-1/3))**(1/21)*(l*l**1)**(-8/11)/((l**(2/7)*l)/(l/l**2)) assuming l is positive.
l**(-5459/1386)
Simplify ((v**0/v*v)**(-3/10))**(10/7)*(v*v**(-2)*v*v)**(-12/5)/(v**1)**36 assuming v is positive.
v**(-192/5)
Simplify (j/j**(2/5))**(-10/11)*(j/(j/j**(1/4)))**47*j*j**(3/4)*j*j**(1/2)*j**(2/25)/(j/j**(-2/9)) assuming j is positive.
j**(32948/2475)
Simplify ((r**(2/5)*r/(r/(r/(r**(1/10)/r*r))))/((r*r/(r/(r*r/((r**(3/4)*r)/r))))/r*r*r**4))/((r*(r*r/r**(1/3)*r)/r)**11)**26 assuming r is positive.
r**(-46057/60)
Simplify o**(5/3)/(o*o/(o*o**(-2/5))*o)*o*o*o**(-4)*o*o/(o*o**(-2/3))*o/o**(2/11)*o*o*o*o**(-1)*(o**1)**(2/89) assuming o is positive.
o**(26051/14685)
Simplify (((b/(b/b**(1/6)))/(b*b**(-3/29)))/(b**(1/3))**18)**(-1/100) assuming b is positive.
b**(1171/17400)
Simplify (((c*c*c*c**(-2/27)*c)/c)/(c**(-5/9)*c)*(c/(c**(-3)/c))/(c*(c**(-8/3)*c)/c))**(-37) assuming c is positive.
c**(-9139/27)
Simplify ((y**(-1))**(1/5)*(y**(-2/7))**50)**(-21) assuming y is positive.
y**(1521/5)
Simplify ((w*w**3)/(w**8/w))/(w**8/(w/(w*w/(w/w**(1/12))*w*w)*w))*(w**(-11)*((w**(-5)/w*w*w)/w)/w)**5 assuming w is positive.
w**(-1165/12)
Simplify (k**(-1)*k**21)/(k**(-11)*k*k**(-2/5)) assuming k is positive.
k**(152/5)
Simplify (((z/(z/z**(-3/8)))/z)/(z/(z*z**(-1)))*(z**1)**(1/2))/((z**2/z)/(z/((z/z**(2/11))/z)))**(-24) assuming z is positive.
z**(-549/88)
Simplify (c/(c*c**5))/(c*c/(c**4*c)*c*c)*c**(-1/33)/(c**13*c) assuming c is positive.
c**(-595/33)
Simplify f**(1/3)*f/f**(-6)*(f**(-1/4))**(-45)*(f/(f/((f**1/f)/f*f)))**27*f**(-1/6)/f**(-3) assuming f is positive.
f**(257/12)
Simplify ((k**26/(k/k**12))/(k**18/k)**28)**(-5/2) assuming k is positive.
k**(2195/2)
Simplify (p*(p**(-1)/p)/p)**(-17)/(p/p**(-1))**10*((p/p**(-2))/p*p/(p/(p**(-2/3)*p)*p)*p)/(p**(-1/2)/(p*p/p**(-3/7))) assuming p is positive.
p**(809/42)
Simplify (s**(-4/5)*s/(s*s/(s*s/s**(-12)))*s**(1/6)*s*s/(s**12*s))**(-38) assuming s is positive.
s**(-779/15)
Simplify ((l*l**(2/5))**(-40)/(l*l**(-2)*l/((l/(l/l**(-1/8)))/l)))/((((l/(l**(-5)*l))/l)/l)/l**5*(l/l**(1/6))/(((l/(l**4*l*l))/l)/l)) assuming l is positive.
l**(-1511/24)
Simplify ((x**(-9))**(-37)/(x**3)**28)**8 assuming x is positive.
x**1992
Simplify ((((t**(2/13)*t)/(t*t/((t/((t**(-4)/t)/t)*t*t)/t)))**(4/5))**(-3/40))**(7/3) assuming t is positive.
t**(-651/650)
Simplify (((g*g**(-1))**11/((g/(g/(g/(g**6/g))*g))/(g/(((g*g*g/(g*g**2*g)*g)/g)/g))))**(-42))**18 assuming g is positive.
g**(-6048)
Simplify z**(-1)/z**7*(z/(z**(-1/10)*z)*z)/z**(-3/5)*(z**(2/7)/z)**34*z**1*z/(z*z**(2/3)/z) assuming z is positive.
z**(-6143/210)
Simplify (t/t**(2/7))**48*(t/t**0*t)**(-32)*((t/t**(3/7))**(-26/5))**(-4/37) assuming t is positive.
t**(-38064/1295)
Simplify (((k*(k/(k/(((k**(1/3)/k)/k)/k*k)))/k)**(-3/10)*(k*k**(9/2))/(k/(k*k/(k**(-4)*k))*k))**(8/5))**(3/5) assuming k is positive.
k**(216/25)
Simplify (((g**(2/7))**17/(g/(((g**(-1/3)*g)/g)/g))**(-2/7))**(-26))**(1/44) assuming g is positive.
g**(-754/231)
Simplify ((j*(j**(-4)/j*j)/j*j)/j**(-7))**(-27)*(j**3*j**1)/(j/(j*(j**(1/5)/j)/j)*j*j**(-2/5)) assuming j is positive.
j**(-532/5)
Simplify (((c/c**(-17))/(c**(-3/8)/c))/(c**(-5/2))**(-30))**(-30) assuming c is positive.
c**(6675/4)
Simplify ((((b*b/(b/(b/b**(-5))))/b)/b)/((b/(b/b**4*b))/b)*(b**(5/2)*b)/(b**26/b))**(-3) assuming b is positive.
b**(111/2)
Simplify (m**(-3/2)*((((m**(-6)/m)/m)/m)/m)/m*(m*m**(-2/7))**(1/5))/((m**3*m**2)/(m/m**(-1))**(-15)) assuming m is positive.
m**
|
{
"pile_set_name": "DM Mathematics"
}
|
= -s for o.
1
Solve 0 = -3*p + b - 19, p + 3*b - 2*b = -1 for p.
-5
Solve 22 = 4*s - 2*k, -s + 9 = -2*k - 4 for s.
3
Solve y + 4 = 0, 10*p - 5*p + 2*y - 2 = 0 for p.
2
Solve -5*d - 13 = 2*v - 33, -2*v + 12 = d for d.
2
Solve 8 = -d + 3*k, 102*d - 2*k = 100*d for d.
4
Solve g = 4, 4*x = -4*g + 9*g - 12 for x.
2
Solve 4*c = 6*d - 9*d - 12, 0 = -2*d + c + 3 for d.
0
Solve 4*n - 57 + 61 = 5*g, 0 = 2*g - 2*n - 2 for g.
0
Solve 0 = 5*b - 14*x + 11*x - 19, -5*x = 4*b + 7 for b.
2
Solve 21 = 2*i + 3*w, -8*i - 24 = -11*i - 3*w for i.
3
Solve -3*c + 2 + 12 = 2*z, -4*c = -8 for z.
4
Solve 2*c = 4*w - c - 4, -5*w - 5*c = -5 for w.
1
Solve 29*x = -l + 26*x + 3, 2*l + 10 = 2*x for l.
-3
Solve -4*f = 25*c - 26*c + 19, -6 = 2*c + 3*f for c.
3
Solve -3*k - 12 = 0, -14 = -j - 2*j + 5*k for j.
-2
Solve 0 = 5*u - 2*n - 13, -5*n - 35 = -15 for u.
1
Solve 6*z - 3*b + 12 = 3*z, 5*z = 3*b - 12 for z.
0
Solve -4*b - 17 + 0 = -5*i, 2*i = 5*b + 17 for b.
-3
Solve -10*r - 3*z = -9*r - 5, 5*r - z - 9 = 0 for r.
2
Solve -3*u = 3*d - 12, 60*d - 9 = 64*d - u for d.
-1
Solve 0 = -z - 4, 7*a - 4*z - 16 = 11*a for a.
0
Solve -40*l + 4*w + 4 = -42*l, 3*l = 5*w + 27 for l.
4
Solve -2*l + 3 = -m - 6, -5*l - 5*m + 30 = 0 for l.
5
Solve -4*w + 11 = 23*r - 22*r, 2*w - 16 = -4*r for w.
2
Solve 4*s = 3*y + 19, -5*s + 9 = -2*y - 13 for s.
4
Solve 4 = -5*i - 4*z, 4*z - 14 + 10 = -3*i for i.
-4
Solve -5*w + 20 = -m, 3*m - 7*m - 4 = -w for m.
0
Solve 4*v = 4*j - 12, -10*j + 11*j - 15 = -5*v for v.
2
Solve 0 = -5*f + 25, 2*l + l + f = -1 for l.
-2
Solve -3*o - 2*q = o - 6, -2*o + q = -5 for o.
2
Solve -61*f + 60*f + 6 = m, -5*m + 27 = 4*f for f.
3
Solve -3*w = -4*d + 6, -w + 4*d = -6*w + 22 for w.
2
Solve 5*j - 3*d + 16 = 0, 13*j - 2*d - 6 = 18*j for j.
-2
Solve -4*l - 5*q - 70 + 29 = 0, 4*l + 2*q = -26 for l.
-4
Solve -2*p + 6 = -5*v - 0*p, -4*p = 2*v - 12 for v.
0
Solve 4*s + 20 = 2*x, -s + x - 6*x = 5 for s.
-5
Solve 26*k - 29*k - 31 = -5*h, k = 2*h - 12 for h.
5
Solve -5*f + 3*k - 37 = -7, -k - 24 = 4*f for f.
-6
Solve 5*f + 12 = -2*x, 10*x - 6*x = -2*f + 8 for f.
-4
Solve -2*i - 3*r = 18, -i + 7*r - 12*r = 23 for i.
-3
Solve -3*w - 6 = 0, -2*j - 5*w = -200 + 208 for j.
1
Solve 72*g - i - 4 = 70*g, 0 = 3*i + 12 for g.
0
Solve 2*q = 2*i + 18, 0 = 2*i + 8*q - 4*q - 6 for i.
-5
Solve -6 = -2*z, -z - 4 = -b - 2*z for b.
1
Solve -a = 2*y, -2*y - y = 0 for a.
0
Solve 2*w = -4*l + 4, -l = 19*w - 15*w - 1 for l.
1
Solve 0 = -2*a - f - 6 + 14, 0 = -2*f + 4 for a.
3
Solve 3*l + 2*y = 6*y + 5, 3*l + 10 = y for l.
-5
Solve y = -v, -5*v + 10*v + y - 8 = 0 for v.
2
Solve 0 = 2*w + 4*q - 16, -15 = -4*w - 2*q - 13 for w.
-2
Solve -4*h - 8 = 4*v, 3*v - 8*h - 34 = -3*h for v.
3
Solve 3*y + 4*a + 18 = 0, 5*a - 17 = y + 10*a for y.
-2
Solve 0*b + 2*b + 28 = 5*n, 2*b - 26 = -4*n for b.
1
Solve 3*h = -2*r + 7, 5*r + 14 - 38 = -h for h.
-1
Solve -14*f = 2*h - 18*f + 16, 5*h + 2*f = -4 for h.
-2
Solve 3*l + 3*d = 12, 2*l - d - 2 = 6 for l.
4
Solve 0 = 3*h + 4*f + 9, -4*h = 5*f + 17 - 5 for h.
-3
Solve 13 = -5*x + 5*w - 3*w, -x - 21 = -5*w for x.
-1
Solve r + 2*c - 15 = -2*r, c = 5*r - 12 for r.
3
Solve 0 = 4*f + 5*m + 40, -2*m + 0 + 12 = -4*f for f.
-5
Solve -3*m - 5*o - 15 = 0, 4*m + 5*o = 7*o - 20 for m.
-5
Solve 0*x = -5*x - p - 23, -x - 1 = -p for x.
-4
Solve -4*n = 3*i - 4, -3*n + i + 8 = -8 for n.
4
Solve 4 - 14 = 5*o, 9*l - 5*o = 19 for l.
1
Solve 4*b - 12 = 2*u, 163*b - 5*u = 165*b - 18 for b.
4
Solve -16*p + 5 = 5*y - 20*p, 3*y + 5*p = 3 for y.
1
Solve 3*t + 26*x + 4 = 21*x, 5*x - 17 = 4*t for t.
-3
Solve -k = -3*j + 1, 4*j = 31*k - 35*k - 20 for j.
-1
Solve -12*j = c - 14*j - 9, -3*j - 24 = -5*c for c.
3
Solve 3*a + 2 = c, 3*c + a = 8*c - 10 for c.
2
Solve -4*f - 5*p + 27 = 0, -32*f + 27*f + 27 = 4*p for f.
3
Solve 5*x - 4 = -4*m, -4*m = -0*x - 5*x + 36 for m.
-4
Solve -v + 3 = 0, v = 5*f + 18 - 0 for f.
-3
Solve -c - 10 + 6 = -2*l, -c - 5 = -3*l for c.
-2
Solve -3 = 2*l - 4*t + 5, -4*l + 2*t + 8 = 0 for l.
4
Solve 53*i - 57*i - t + 16 = 0, -4*i + 28 = -2*t for i.
5
Solve 4*s - 7 = z, 2*s + 14 = -3*z + 35 for s.
3
Solve -2*p = -5*i - 9, 0 = 244*p - 246*p - i - 9 for p.
-3
Solve -2*c + c = -5*r - 1, -5*c = 5*r - 5 for r.
0
Solve -4*n = -9*n - 3*f + 21, -3*n + 7 = -f for n.
3
Solve -3*j - 20 = -4*a, 4 = 10*a - 6*a + j for a.
2
Solve -5*w + 3 = 5*k + 18, 5 = -5*k - 3*w for k.
2
Solve 0*a - 4*t + 1 = 3*a, 0 = -2*a + 4*t - 6 for a.
-1
Solve 0 = -3*m - 0*m - 3, 5*m = p for p.
-5
Solve 4*v = 3*v - 2*l + 3, -7 = v - 3*l for v.
-1
Solve 4*s - 50*r + 16 = -46*r, 0 = -2*r + 8 for s.
0
Solve -2*z - 31 = 4*u - 1, -5*z - 3*u = 40 for z.
-5
Solve -a = 2*a + y + 9, 0 = 2*a + y + 6 for a.
-3
Solve 2*a = -2*a - k - 16, -5*a - 3*k - 20 = 0 for a.
-4
Solve 5*k + 130*t - 134*t + 8 = 0, 3*k + 5*t = 10 for k.
0
Solve 5*d + 51 = 4*k + 35, -k - 4*d = 17 for k.
-1
Solve 4*x = -3*n + 27, -4*x - 5*n = -2 - 35 for x.
3
Solve -3*b - d - 13 = 0, 4*d = -2*b - 0*b - 22 for b.
-3
Solve -5*b - 1 + 23 = 2*d, 15 = -5*d + 5*b for d.
1
Solve 3*z + 18 = -3*u, -40*z + 35*z = 4*u + 25 for u.
-5
Solve -4*m + 0*m = -5*f - 18, 3*f - 4 = -5*m for f.
-2
Solve -q = 2*n + 4, 10*q + 4*n = 12*q - 24 for q.
4
Solve 3*k - 8*k + 3*y = 7, 2*y - 5 = 3*k for k.
1
Solve 12*n + 21 = 3*h + 7*n, n = 4*h - 11 for h.
2
Solve -2*w = -p + 11, 5*w - 4*p + 7*p = -22 for w.
-5
Solve 2*k + 4*q = -q + 9, 2 = 2*q for k.
2
Solve -15 = 3*l + 2*o, 2*o - 2 = -8 for l.
-3
Solve 5*v - 2*v = 4*p - 17, -4*v = 2*p + 8 for p.
2
Solve 48 - 12 = 4*t - 5*p, -2*t = 2*p for t.
4
Solve -n - f + 4 = 0, 5*f - 6 - 19 = 0 for n.
-1
Solve 0 = 4*x, 4*b + 4*x + 7 = 15 for b.
2
Solve -5*g + 12 = -18*o + 21*o, 3*g - 7 = -2*o for o.
-1
Solve -j - 3*f + 7*f = 12, f = -3*j + 3 for j.
0
Solve 0 = -5*p - 3*f + 16, -p + 10 = -7*f + 11*f for p.
2
Solve -14*m + 12*m = -8, 0 = 3*w + 2*m - 2 for w.
-2
Solve -9 = n - 3*z, -2*n = n + 3*z - 9 for n.
0
Solve b = 4*z + 17, 3*b = -10*z + 11*z + 7 for b.
1
Solve -f = 5*z - 2, 0*f = -2*z + f + 5 for z.
1
Solve 7*l = w + 9*l + 7, -7 = -3*w + l for w.
1
Solve 0*s = 5*f - 3*s - 9, 0 = -2*f - 4*s + 14 for f.
3
Solve 2*i + 1 = -i + 4*q, -2*q = 4*i - 28 for i.
5
Solve 2*t = -3*t + 5*f + 35, 0 = -f - 7 for t.
0
Solve 3*z - 5*o - 3 = -4*o, 3*z = 4*o + 3 for z.
1
Solve 3*k - 1 = 2*k, -q + 2*k + 2 = 0 for q.
4
Solve 5*o - 28 = z, -z + 21*o = 23*o - 7 for z.
-3
Solve j - 3*o + 7 = 0, 0 = j + 141*o - 139*o - 8 for j.
2
Solve 0 = 5*v + 4*b - 10, 6*b - 25 = b for v.
-2
Solve 0 = -4*o + 2*a - 14, -2*o - 4*a = -17 - 1 for o.
-1
Solve -70 - 5 = 14*k + r, r - 5 = 2*k for k.
-5
Solve -t + 15*u - 20*u - 25 = 0, t + 10 = -2*u for t.
0
Solve -2*t - 31 = 2*a + 3*a, 18 = -t - 3*a for t.
-3
Solve 5*h + 0 = 5*c - 15, h + 3 = -3*c for c.
0
Solve 3*f - 8 = 5*q + 9, 4*q = -f - 17 for f.
-1
Solve 7*i - 2 = 4*o + 2*i, 3*o + 5*i + 19 = 0 for o.
-3
Solve l - 2*l - 3*b - 2 = 0, 5*l + 3*b + 22 = 0 for l.
-5
Solve -5*h - 7 = -2*t, 0 = -2*h - 0*h - 2*t for h.
-1
Solve 2*r + 4*p - 16 = 0, 13 = -5*r + 3*p - 12 for r.
-2
Solve -3*f - n - 1 = 18, 3*f = -2*n - 23 for f.
-5
Solve 5 + 4 = -4*j + 3*h, 3*j - 5*h + 15 = 0 for j.
0
Solve 12*t - 9*t = -5*o + 5, -7 = -3*o - t for o.
4
Solve -2*m - m - 10 = -5*p, 3*p = -2*m - 13 for m.
-5
Solve 0*z + z = -5*d + 13, -3*z - 21 = -5*d for d.
3
Solve 5*v = -0*v - 5*w + 35, w = v + 3 for v.
2
Solve -3*h + 3 = 0, 3*x + 7*h - 1 = 3*h for x.
-1
Solve -2*c - 2 = 0, -5*c + 10*c = 5*l + 10 for l.
-3
Solve -5*c = 2*z + 19, 5*z - 139 = -4*c - 161 for z.
-2
Solve 5*d - 2*z = 0, -45 = -d + 4*z - 63 for d.
2
Solve -5*v + 2*q = -8, -4 = 4*v + 3*q + 8 for v.
0
Solve -2*q + 8 = 5*b, 10*q + 5*b + 4 = 11*q for q.
4
Solve -4*w + 5*b + 24 = 0, 5*w + 5*b + 7 = 2*b for w.
1
Solve -2*f = -o - 1, -f = -o + 2*o + 7 for o.
-5
Solve -2*o + 3 = w, -w = 5*o - 14 + 5 for o.
2
Solve 2*p - 7*p + 25 = 3*h, 3*h + 2*p - 19 = 0 for h.
5
Solve -2*i - 8 = 0, -t + 42 = 2*i + 49 for t.
1
Solve 3*c - 6*c = -4*o + 19, 4*o - 11 = -5*c for c.
-1
Solve 3*p - 15 = 0, -r = -0*r - 5*p + 28 for r.
-3
Solve -y = -5*g + 12, 2*y = 5*g - 8 - 6 for y.
-2
Solve 3*l - 5 = 2*k + 8*l, -12 = 4*l for k.
5
Solve 0 = -4*o - 2*i - 22, -5*i - 12 + 7 = 0 for o.
-5
Solve -26*y - k = -21*y + 15, 0 = -k for y.
-3
Solve -3*h + 4 = -g, -2*h - 1 = -46*g + 49*g for g.
-1
Solve 3*p + w + 16 = 5*w, 5*p = -4*w + 16 for p.
0
Solve 35
|
{
"pile_set_name": "DM Mathematics"
}
|
or x?
x
Let y be ((-24)/(-42))/(2/1). Let s = -145 - -139. Which is bigger: y or s?
y
Let k = -728/3641 + 6/331. Which is greater: 0.46 or k?
0.46
Let y be (-16)/10*105/(-2). Let u = 165/2 - y. Which is greater: -1 or u?
-1
Let k = -2 - -1.9. Let x = 0.1854 - 7.1854. Is x bigger than k?
False
Let i = 289 + -288.95. Is -9 less than i?
True
Let v = -2 - -1.7. Let y(q) = -2*q - 35. Let o be y(-17). Let m be (o/(-2))/((-12)/(-8) + -1). Which is greater: v or m?
m
Let q = -0.5 + -0.5. Let c = -16 - -20. Let d be 288/(-567) + c/18. Which is smaller: d or q?
q
Suppose 3*r = -3 - 0. Let l = 9.1 - -0.86. Let v = l - 9.9. Which is bigger: r or v?
v
Suppose 6*b = 3*b + 12. Suppose b*j - j - 21 = 0. Let v(r) = r**2 - 8*r + 14. Let g be v(j). Which is bigger: 8 or g?
8
Let a = 56.7 - 56. Let r = a - 2.7. Does r = -2?
True
Let g = 280.2 + -156.2. Is 9 >= g?
False
Let d = 35 - 5. Let a be 2/5*(-25)/d. Is a at least -2/3?
True
Let o = -25.84 + 5.04. Which is bigger: o or 1?
1
Let b = 179 + -169. Let t = 3 - 4. Let v(m) = -11*m - 1. Let x be v(t). Is b less than x?
False
Let n be 1 + (-34)/16 + 0. Let m be (3*(-2)/6)/1. Which is smaller: n or m?
n
Let w = 56 + -34. Let p = -23 + w. Is p < -3/26?
True
Let r(u) = u**2 - 1. Let c(p) = -3*p**2 + 7*p + 9. Let f(d) = c(d) + 2*r(d). Let y be f(0). Is y greater than 1?
True
Let z = 233 - 239. Which is greater: z or -1?
-1
Let o(g) = 2*g**3 + 0*g**3 - 3*g**3 + 42 - 38 + 11*g**2. Let f be o(11). Is 4 < f?
False
Let h = 0 - 0.01. Suppose 2*o = -2*b - 2*o - 10, 10 = -2*o. Suppose 0 = -b*v + 1 + 4. Which is bigger: h or v?
v
Let j = 37 + -1. Suppose -3*w + 37 = -5*n, -4*n - j = 2*w - 6*w. Is 5 at least w?
True
Let s be (-8352)/54 + (-10)/3. Which is greater: s or -159?
s
Let x = 0.74 + 36.26. Let c = x - 37.05. Which is smaller: c or 2/17?
c
Let v = -16227023166/135965 - 24699789/383. Let d = v + 183837. Let r = d + -2/71. Which is greater: r or 0?
0
Let a(c) = c**3 - 2*c**2 - c - 4. Let g be (-3)/(-15) + (-28)/(-10). Let d be a(g). Let h = 11 + -7. Which is smaller: h or d?
d
Let k(s) = 8*s - 1. Let x = 1 + 4. Let d be k(x). Let l = d - 49. Which is smaller: -11 or l?
-11
Let f = 203/3 + -66. Which is greater: f or 3?
3
Let q = 228 + -224.77. Let t = -0.23 + q. Is t at least as big as -1?
True
Let b = 9.5 - 9.5. Which is greater: b or -6.1?
b
Suppose 11*u = -3*u + 14. Is 2/97 < u?
True
Let f = -1120 - -1177. Which is bigger: f or 41?
f
Let y(f) = -6*f - 3. Let b be y(-11). Is 442/7 < b?
False
Let f(m) = -4*m - 35. Suppose 2*o - 19 = 3*n, 0 = 2*n - 6*n - 2*o - 44. Let r be f(n). Let g be (0/(-1) + -1)/(-1). Are g and r non-equal?
False
Let a be ((-4)/11)/(2/(-9)). Suppose 0 = 6*b - 4*b - 10. Suppose -7*p + 26 = b. Which is bigger: a or p?
p
Let t = 4.95 - -0.05. Let o = -3.951 + -0.049. Let b = t + o. Which is greater: -0.01 or b?
b
Let u = -197/7 - -28. Let y(h) = h - 7. Let x(f) = f - 6. Let i(o) = -7*x(o) + 6*y(o). Let z be i(-1). Are u and z non-equal?
True
Let n(f) = 2*f**2 + f + 18. Let b be n(0). Let y be 35/b + (-4)/2. Is 0 != y?
True
Suppose -4*x + 3*f = x - 33, 40 = 4*x + f. Are x and 9 non-equal?
False
Suppose v + 9 = -2*v, 4*v + 17 = -5*s. Suppose 22*o - 21*o = -69. Let c = o - -69. Is s greater than c?
False
Let n = 11/12 + -91/60. Do n and 0 have the same value?
False
Suppose -179 = 8*a - 531. Let p be (3 + (-7)/2)*a. Are p and -22 non-equal?
False
Suppose 0*n + 3*n = -4*y - 1, 0 = 4*n + y + 10. Let j(g) = g + 3. Let f be j(6). Let u be 1/(-1)*f/3. Are u and n unequal?
False
Let b(m) = 7*m + 21. Let r be b(-16). Let j be 26/r + 872/2954. Is j less than or equal to 0?
False
Let u be (-4)/(-32) - (-37)/(-40). Which is smaller: 41 or u?
u
Let m = 25 + -25.48. Let x = m - -6.48. Which is smaller: x or 1?
1
Suppose s - 5*g = 62, 3*g - g = -2*s + 124. Suppose -74*p - 1401 + 4036 = -1953. Is s at least as big as p?
True
Let n = -5.2 + 3.2. Let w = -1.3 - -1.36. Let a = w + 0.02. Which is smaller: a or n?
n
Let h = 1303077/2015 - -45/403. Let a = -639 + h. Is -1 < a?
True
Let f = 47.4 + -48. Let t = f + 0.7. Which is bigger: t or 30?
30
Let i = -4553/2156595 + -1/2679. Which is smaller: 0 or i?
i
Let x(u) = u**2 + 11*u - 4. Let m be x(-10). Let f(b) = -b**3 - 14*b**2 + b + 11. Let r be f(m). Which is bigger: r or -21/8?
-21/8
Suppose -4*w + 390 = w. Let a = -309/4 + w. Let b(r) = r**2 + 16*r - 16. Let d be b(-17). Which is greater: a or d?
d
Let g(i) = -2*i**3 - 2*i**2 - 2*i - 1. Let p be g(-1). Suppose -y + p = -2. Let a be (y/10)/((-42)/56). Is 0 < a?
False
Let j = 263 + -199. Which is greater: j or 0?
j
Let n(g) = g**2 - 16*g + 18. Let s be 155/10 + (-3)/6. Let z be n(s). Let c = -36/119 - -10/17. Is c at most as big as z?
True
Let g = -42 + 37. Let z = 18 + g. Which is greater: z or -2/7?
z
Suppose -3*z = -3*t + 7*t + 128, 4*t - 64 = z. Is z <= -48?
True
Let w be ((-1)/((-35)/(-28)))/(4/(-10)). Let m = -0.01 + 0.11. Let r = 1.9 + m. Is w smaller than r?
False
Let v = -64 + 27. Let g = v - -35. Let q = -2 + 2.3. Which is greater: g or q?
q
Let w = 1471 - 1394. Do 62 and w have different values?
True
Let j = -3.85 + 3.846. Which is smaller: -0.2 or j?
-0.2
Let c = 11.6 - 4.6. Let i = 10 - 10. Is i > c?
False
Suppose 276 = -3*m + 5*m + 3*k, -2*k = 3*m - 419. Let c be ((-1070)/(-45))/(1/6). Let q = c - m. Which is smaller: q or 3?
q
Suppose 3*x - 22 = -11*p + 7*p, -5*p = 10. Which is smaller: 11 or x?
x
Let d = 3226/11 + -293. Let n be (-2)/(-3)*(-7 - (-77)/14). Is n <= d?
True
Let j be ((-3)/18)/((-2)/4). Suppose -3*s = -2*r + s + 4, 0 = 4*r - 3*s + 2. Let w be (0/r)/(-21 - -16). Do w and j have the same value?
False
Let m be 223819/265 - 3/5. Do 845 and m have the same value?
False
Suppose -23*q - 42*q - 8840 = 0. Which is greater: -135 or q?
-135
Let v = 194/17 - 192/17. Suppose -q - 3 = -3*x, 0 = -2*q + q - 3. Suppose k = -x*k. Which is bigger: k or v?
v
Let o be ((-1140)/160)/((-310)/8). Let q = 2/2965 - 3089/183830. Let u = o - q. Is 0.3 at least u?
True
Let r be (1 + 4)/((-1)/(-7)). Suppose l = -11 + r. Suppose 0*a - l = -3*a. Is 7 greater than or equal to a?
False
Let o(r) = r**3 + 60*r**2 + 3*r + 61. Let x be o(-60). Is x not equal to -119?
False
Let n = -138 + 233. Suppose -2*i - h - 4 - 27 = 0, -5*i - n = -h. Which is smaller: -16 or i?
i
Suppose -2*n - 1 - 7 = 0, h = -n - 8. Let l be (((-90)/(-12))/5)/(345/h). Is l < 0?
True
Suppose -4*g = 5*c - 39, -23*g - 12 = -25*g - 4*c. Which is greater: g or 19?
19
Suppose -5*d - f - 2*f + 57 = 0, 5*d = 5*f + 65. Let q(c) = -c**3 + 12*c**2 + c - 17. Let t be q(d). Let z be (-2)/t - (-22)/20. Are 3 and z nonequal?
True
Let a be ((-22)/77)/(2/(-14)). Let m be ((12/9)/a)/(-1). Which is smaller: 8 or m?
m
Suppose 4*d - 4*d = 4*d. Which is greater: 290 or d?
290
Let b(o) be the second derivative of -o**3/3 + 7*o**2/2 + 3*o + 13. Let h be b(16). Let g = 36 + -61. Is h at least as big as g?
True
Let d(w) = -w**3 - 86. Let b be d(0). Let l be b/(-82) - (2 - 1). Is 1 <= l?
False
Suppose -3*b - 16 = -1. Let y be 2/b + 6/15. Let r = -2/489 + 273/326. Is y bigger than r?
False
Let z = 172 - 208. Suppose 15*r = 16*r + 1. Which is smaller: z or r?
z
Let j = 33 - 20. Let v = 10 - j. Is v less than -0.1?
True
Let j(i) = -31*i**3 + i**2 + i. Let f be j(-1). Let c = 29 - f. Which is bigger: -2/3 or c?
-2/3
Let r be 2/3 + (-9)/(-18). Let p = r - 3/2. Is 52 less than or equal to p?
False
Suppose 0 = 5*d + 11 - 1. Let h be (-3)/d*8/22. Suppose -20 = -5*u - 0*y - 5*y, 2*u + 4*y - 14 = 0. Which is smaller: h or u?
h
Let d be (16/24)/((-2)/3). Let n = 23805/44 - 541. Which is greater: d or n?
n
Let l be -3 + 3/(24/20). Let a(q) = q**2 + 5*q - 8. Let s be a(3). Is l smaller than s?
True
Let a(p) = p**3 + 4*p**2 + 3*p + 8. Suppose 4*j + b = -11, 2*j - 4 - 8 = -4*b. Let c be a(j). Let t be (-3)/54*1*c. Which is greater: -0.2 or t?
t
Let p = -3 - -3.16. Let r = 0.04 + p. Which is smaller: 2 or r?
r
Let i = -175 + 663. Which is greater: i or 489?
489
Let f = -1 + 1.02. Let c = -48035/49756 - -2/1777. Let j = -5/4 - c. Which is smaller: f or j?
j
Let o be 3/1 + 104823/(-304). Let a = -342 - o. Which is smaller: a or 1?
a
Let p(t) = 26*t**2 - 26*t - 46. Let o be p(-2). Is o <= 111?
True
Let w = -3 - -12. Let k(z) = z**2 - 10*z + 9. Let g be k(w). Let f = 1 - g. Which is bigger: f or -5/12?
f
|
{
"pile_set_name": "DM Mathematics"
}
|
t common factor of 1300 and 3100.
100
What is the highest common divisor of 294 and 336?
42
What is the greatest common factor of 2688 and 140?
28
Calculate the greatest common factor of 99 and 66.
33
Calculate the highest common divisor of 477 and 486.
9
What is the greatest common divisor of 123 and 410?
41
Calculate the highest common divisor of 8334 and 18.
18
What is the greatest common factor of 10 and 55?
5
Calculate the greatest common factor of 375 and 45.
15
Calculate the greatest common divisor of 90 and 510.
30
Calculate the highest common divisor of 296 and 8.
8
Calculate the greatest common divisor of 988 and 2756.
52
Calculate the highest common divisor of 110 and 22.
22
What is the greatest common factor of 38 and 475?
19
Calculate the highest common factor of 2960 and 100.
20
What is the greatest common divisor of 558 and 62?
62
Calculate the greatest common factor of 3219 and 222.
111
Calculate the greatest common factor of 32340 and 165.
165
Calculate the greatest common divisor of 42 and 105.
21
Calculate the highest common factor of 10 and 104.
2
What is the greatest common divisor of 456 and 32?
8
What is the greatest common factor of 825 and 30?
15
Calculate the highest common divisor of 4784 and 460.
92
What is the greatest common divisor of 9185 and 55?
55
Calculate the greatest common divisor of 180 and 36.
36
Calculate the greatest common divisor of 5 and 95.
5
Calculate the highest common factor of 10 and 575.
5
What is the greatest common divisor of 28 and 686?
14
Calculate the greatest common divisor of 138 and 1679.
23
What is the highest common factor of 91 and 52?
13
Calculate the highest common factor of 110 and 297.
11
What is the greatest common factor of 37 and 851?
37
What is the highest common factor of 399 and 1372?
7
What is the highest common factor of 57 and 9?
3
Calculate the highest common divisor of 576 and 1116.
36
What is the greatest common divisor of 18 and 342?
18
Calculate the highest common divisor of 14381 and 197.
197
Calculate the highest common divisor of 102 and 102.
102
What is the highest common factor of 138 and 46?
46
What is the greatest common divisor of 2941 and 34?
17
Calculate the highest common divisor of 108 and 74952.
108
What is the greatest common factor of 22 and 154?
22
What is the highest common factor of 2174 and 4?
2
Calculate the highest common divisor of 180 and 576.
36
Calculate the greatest common factor of 48 and 432.
48
What is the greatest common divisor of 169 and 104?
13
What is the greatest common factor of 2422 and 98?
14
What is the greatest common factor of 2519 and 3435?
229
What is the highest common factor of 21 and 3920?
7
What is the highest common factor of 63 and 9?
9
Calculate the greatest common divisor of 116 and 5684.
116
Calculate the greatest common divisor of 3818 and 332.
166
What is the greatest common divisor of 41 and 1927?
41
Calculate the highest common factor of 38 and 1539.
19
Calculate the highest common divisor of 286 and 338.
26
Calculate the greatest common factor of 24 and 11028.
12
What is the greatest common factor of 225 and 45?
45
What is the greatest common divisor of 26 and 1742?
26
Calculate the greatest common factor of 126 and 105.
21
Calculate the greatest common factor of 99 and 576.
9
What is the highest common divisor of 702 and 13?
13
Calculate the greatest common factor of 22 and 8371.
11
Calculate the highest common factor of 52 and 1534.
26
Calculate the greatest common factor of 3075 and 1107.
123
Calculate the greatest common divisor of 126 and 3150.
126
What is the greatest common divisor of 1010 and 10?
10
Calculate the highest common factor of 1015 and 2730.
35
Calculate the greatest common factor of 639 and 36.
9
Calculate the greatest common factor of 95 and 3173.
19
What is the highest common factor of 5547 and 2193?
129
What is the greatest common divisor of 215 and 41065?
215
What is the greatest common divisor of 4 and 29?
1
Calculate the greatest common factor of 19 and 323.
19
What is the greatest common factor of 99 and 4851?
99
Calculate the greatest common divisor of 2 and 94.
2
Calculate the greatest common factor of 36 and 342.
18
What is the greatest common factor of 48 and 16464?
48
What is the greatest common factor of 111 and 259?
37
Calculate the highest common factor of 603 and 81.
9
What is the highest common divisor of 392 and 64?
8
What is the greatest common divisor of 34 and 1377?
17
What is the greatest common factor of 581 and 7?
7
What is the greatest common divisor of 9982 and 92?
46
What is the highest common factor of 108 and 3654?
18
What is the greatest common divisor of 26 and 442?
26
Calculate the highest common factor of 60 and 132.
12
What is the highest common factor of 399 and 152?
19
Calculate the highest common divisor of 297 and 12.
3
What is the highest common divisor of 26005 and 35?
35
Calculate the greatest common divisor of 48 and 376.
8
What is the greatest common factor of 310 and 5828?
62
What is the highest common factor of 117 and 3354?
39
What is the highest common divisor of 40 and 180?
20
Calculate the highest common factor of 45 and 855.
45
Calculate the greatest common factor of 102 and 782.
34
What is the greatest common divisor of 9 and 24?
3
Calculate the highest common divisor of 225 and 150.
75
Calculate the highest common factor of 25 and 295.
5
What is the greatest common factor of 23 and 14?
1
What is the greatest common factor of 12 and 16?
4
Calculate the greatest common divisor of 33 and 66.
33
Calculate the greatest common factor of 79 and 869.
79
What is the highest common divisor of 13 and 1157?
13
Calculate the greatest common factor of 882 and 21.
21
What is the highest common factor of 3186 and 81?
27
What is the greatest common factor of 144 and 32?
16
Calculate the highest common factor of 2 and 80.
2
What is the highest common divisor of 52 and 247?
13
Calculate the highest common factor of 1507 and 11.
11
What is the greatest common divisor of 57 and 456?
57
What is the greatest common divisor of 24 and 6396?
12
What is the highest common divisor of 198 and 18?
18
Calculate the greatest common factor of 2409 and 44.
11
What is the highest common divisor of 66 and 143?
11
What is the highest common factor of 2146 and 58?
58
Calculate the greatest common divisor of 55 and 880.
55
Calculate the greatest common divisor of 16 and 964.
4
Calculate the greatest common factor of 171 and 12141.
171
What is the highest common divisor of 1577 and 38?
19
Calculate the highest common divisor of 4668 and 12.
12
What is the highest common factor of 22 and 38555?
11
Calculate the highest common factor of 135 and 2160.
135
Calculate the highest common divisor of 837 and 31.
31
What is the greatest common divisor of 56 and 49?
7
Calculate the highest common factor of 200 and 3160.
40
Calculate the greatest common factor of 7 and 721.
7
What is the highest common factor of 4 and 12?
4
What is the greatest common factor of 365 and 1095?
365
Calculate the highest common divisor of 140 and 160.
20
What is the greatest common divisor of 212 and 477?
53
What is the highest common divisor of 2 and 578?
2
What is the greatest common divisor of 165 and 220?
55
Calculate the highest common divisor of 9800 and 168.
56
Calculate the greatest common factor of 98 and 126.
14
What is the greatest common factor of 2208 and 96?
96
Calculate the greatest common factor of 1376 and 2236.
172
What is the greatest common divisor of 7310 and 170?
170
Calculate the highest common factor of 23 and 3013.
23
What is the greatest common divisor of 1664 and 26?
26
What is the highest common factor of 560 and 440?
40
Calculate the greatest common factor of 13 and 299.
13
What is the highest common factor of 98 and 56?
14
What is the highest common factor of 924 and 231?
231
What is the highest common factor of 6080 and 8?
8
What is the greatest common divisor of 3475 and 25?
25
Calculate the highest common factor of 774 and 18.
18
What is the highest common divisor of 51 and 918?
51
What is the highest common divisor of 480 and 30?
30
Calculate the greatest common divisor of 13073 and 68.
17
What is the greatest common divisor of 507 and 26?
13
What is the greatest common f
|
{
"pile_set_name": "DM Mathematics"
}
|
- 14. Calculate the highest common factor of 4 and j.
4
Let c = -44 - -30. Let v be 610/35 - 8/c. Calculate the greatest common divisor of v and 108.
18
Let z = -924 - -958. Calculate the greatest common factor of z and 2108.
34
Suppose 82*s - 77*s - 575 = 0. Suppose -f - 95 = n - 2*n, -s = -n + 5*f. What is the greatest common divisor of 18 and n?
18
Suppose x - 3*x = 10, 2*x - 20 = -3*h. What is the greatest common divisor of 320 and h?
10
Let q(v) = 6*v - 2. Let x be q(3). Let y(j) = 20*j - 12. Suppose 2 = n, b - 2*n + 3*n - 9 = 0. Let c be y(b). What is the greatest common divisor of x and c?
16
Suppose p + 0*p = 10. Suppose -4*r - 20 = -4*i, -2*i - 9 = -3*i + 2*r. Let a = i + 4. Calculate the highest common divisor of p and a.
5
Let u(r) = -r**2 - 2*r + 15. Let a be u(-5). Suppose 2*j - 2*m - 26 = 0, -4*j + 2*m = -a*j - 54. Calculate the highest common factor of j and 21.
7
Let x be 11 + 0 + (-35)/5. Let v(q) = q. Let g be v(1). Calculate the highest common divisor of g and x.
1
Let b(z) = 22*z - 240. Let l be b(11). What is the highest common divisor of 98 and l?
2
Let v(g) = -46*g - 26. Let k be v(-3). What is the highest common divisor of k and 14?
14
Let n be (2 + 77/(-22))/(2/(-228)). What is the greatest common divisor of n and 18?
9
Suppose 2*k + 1643 = 33*k. Calculate the greatest common factor of k and 848.
53
Let y be (2*-2)/(2/(-4)). Suppose 0 = -30*a + 1595 + 85. Calculate the greatest common divisor of y and a.
8
Let o(h) = 17*h - 23. Let z be o(5). Let k be 4/(-12)*(2 - z). Calculate the greatest common divisor of k and 140.
20
Let a(h) = -2*h**3 + 20*h**2 - 14*h + 18. Let j be a(9). Calculate the greatest common divisor of 6 and j.
6
Let l = -444 + 449. Let n(o) = o**3 + 2*o**2 - 2*o - 4. Let z be n(3). What is the greatest common factor of l and z?
5
Let n(z) = -35*z + 1. Let m be n(-5). Suppose 3*s = 15, 3*s + 2*s + 19 = b. Calculate the highest common divisor of b and m.
44
Let q be (-7 - -2)/(-1)*5. Calculate the greatest common factor of 100 and q.
25
Let c(l) = l - 6. Let y be c(6). Suppose -3*j + 0*j + 42 = y. Let v be 4/14 + 52/j. Calculate the highest common factor of v and 2.
2
Let j = 975 + -392. What is the highest common divisor of 11 and j?
11
Let b be -20 - -176 - 8/1. Calculate the greatest common factor of b and 666.
74
Let k be (10/40)/((-2)/8). Let t be (1 - k - (-120)/(-32))*-8. Calculate the highest common divisor of t and 126.
14
Let r(f) = f**3 + 10*f**2 - 2*f + 11. Let i be r(-10). What is the greatest common divisor of i and 124?
31
Suppose -4*k = 158 - 30. Let c = k - -164. Suppose -13*g + 10*g = 5*d - 72, 2*g - 68 = -5*d. Calculate the highest common divisor of d and c.
12
Let s = -689 + 729. Calculate the highest common divisor of 184 and s.
8
Let h be ((-9)/(-4))/(219/2336). What is the highest common factor of 9 and h?
3
Let s = 232 + -144. Suppose -3*b + 44 = b. What is the greatest common divisor of b and s?
11
Let t = -151 + 304. Suppose -5*c = z - 27, -z - 13*c = -18*c - 7. Calculate the greatest common divisor of z and t.
17
Let u(v) = v**3 - v**2 - v - 4. Let a be u(0). Let w be (-38)/a*(2 - 0). Let x = 46 + w. Calculate the highest common divisor of x and 26.
13
Let v(d) = -26*d - 2. Let u(w) = -78*w - 6. Let r(a) = 4*u(a) - 11*v(a). Let x be r(-4). What is the highest common factor of 153 and x?
51
Suppose 28811 = 17*y - 2860. Calculate the greatest common factor of y and 81.
81
Let z(k) = 4*k + 10. Let a be z(-2). Let y be (-50)/(-6) + a/(-6). Let w(h) = -h**2 - 7*h - 6. Let p be w(-5). What is the greatest common divisor of y and p?
4
Let y = 31 - 26. Suppose -y*t + 24 = -21. What is the greatest common divisor of t and 45?
9
Suppose 3*b - x - 35 = 2*b, 0 = 3*b + 5*x - 145. Calculate the highest common factor of 68 and b.
4
Suppose -118 + 14 = -26*h. Calculate the highest common factor of 19 and h.
1
Let g = 14 - 12. Suppose g*k = -0*k - 5*p + 30, -2*k + 30 = -p. Calculate the highest common divisor of 15 and k.
15
Suppose -2*q + 1 + 1 = 0. Let o be 6/(-8) - (-279)/36. What is the highest common divisor of o and q?
1
Let i(y) = 1 + 120*y**3 - 9*y + 2*y**2 - 6*y**2 - 118*y**3 - 8*y**2. Let w be i(7). Suppose 3*x = -x + w. What is the greatest common divisor of x and 90?
9
Suppose -2*n = d - 265, 2*n - n = 2*d + 120. Let t = n - 72. What is the highest common factor of 522 and t?
58
Let p = -713 - -749. Calculate the highest common factor of 528 and p.
12
Let h = 1364 - 1322. Calculate the greatest common factor of h and 399.
21
Let w(k) = 5*k**2 + 0*k**2 - 3*k + 0*k**2 + 1. Let o be w(3). Let a = o + -4. What is the highest common divisor of a and 22?
11
Let z be (90/35)/(6/280). What is the highest common divisor of z and 12?
12
Let o = 7 - 6. Let n be (0 + o)*-2*11. Let h = n + 79. Calculate the highest common divisor of 19 and h.
19
Let d = -1467 - -2056. Calculate the greatest common divisor of d and 31.
31
Suppose -42 = -o + 4*x + x, 0 = -o + 4*x + 37. Suppose 3*d = 5*d - 18. Let t(l) = 21*l - 2. Let j be t(d). Calculate the greatest common divisor of j and o.
17
Let k be (-146)/(-5) - (-1)/(-5). Let g be (185/(-10) - -2)*-22. Let h = g - 131. What is the greatest common divisor of k and h?
29
Suppose 16 = 4*a - 16. Suppose -88 = -55*o + 54*o. What is the greatest common divisor of o and a?
8
Let h(z) = -9*z + 19. Let j(o) = 10*o - 21. Let m(p) = 3*h(p) + 4*j(p). Let d be m(4). What is the greatest common divisor of d and 200?
25
Let b = -23 - -43. Let p = -18 - -28. Suppose 2*c = 30 + p. What is the greatest common factor of b and c?
20
Let v = -726 + 823. What is the greatest common divisor of v and 1164?
97
Let g = 200 + -105. Let y(n) = n + 17. Let w be y(-15). Suppose 5*v = w*q - 63, 0 = -2*q + 5*q - v - 62. Calculate the highest common divisor of g and q.
19
Let n = -197 - -198. Let s be (-3)/(-12) + (-37)/4. Let x be (-4)/(-18) - 7/s. What is the highest common factor of x and n?
1
Let g(z) = -z - 3. Let p be g(-5). Suppose 0 = -j - p*j - 69. Let c = j - -26. What is the greatest common divisor of c and 6?
3
Suppose -2*w = -4*m + 22, -4*m = -w - 0*w - 21. Suppose 0*j + 2*d = -3*j + 67, -3*d + 110 = m*j. What is the highest common factor of 171 and j?
19
Let k be (1/3)/((-8)/(-120)). Suppose 5*d + k = -2*z + 123, -d = -5*z - 29. Let t(u) = 16*u**2. Let o be t(-1). Calculate the greatest common factor of d and o.
8
Suppose -39*o + 6 = -36*o. Calculate the highest common divisor of 36 and o.
2
Let t(l) = 4*l - 3. Let g be t(4). Let c be 5 + (-21)/(-12) + 46/(-8). Calculate the highest common factor of c and g.
1
Suppose -4 = 3*d - 5*d. Suppose -43 = -4*a - 3*w, w - 6*w + 39 = d*a. Let n = a + 7. Calculate the highest common factor of 126 and n.
14
Suppose 2*a - 5*n - 998 = 1172, 0 = -3*a - 2*n + 3236. Calculate the greatest common divisor of a and 40.
40
Let f(o) = o**2 + 4*o + 4. Let n be f(-4). Suppose n*x = 2*x + 60. Let u be 7/(21/60) + 0. Calculate the highest common factor of u and x.
10
Suppose -y + 1052 = -3*v, 2*v + 674 = -y - 34. Suppose 36*g - 35*g + 55 = 0. Let z be v/g - (-6)/10. Calculate the highest common divisor of z and 7.
7
Let l be 30/(-4)*(-4 - -2). Let a be 1 - (-4 - -3) - -9. Let q be a + (3 - 2) + -2. Calculate the greatest common divisor of l and q.
5
Let o(q) = -36*q + 125. Let w be o(3). What is the highest common divisor of w and 85?
17
Let k be ((-231)/(-6))/(43/14 + -3). What is the highest common factor of 49 and k?
49
Suppose m - 10 - 24 = 0. Suppose 0 = 2*n - 6*n + 340. Calculate the highest common factor of m and n.
17
Let y be (-4 - -35)*1 + -3. Suppose -f + 6 - 4 = 0. Suppose 0 = -2*m + f*g + g + 17, 0 = -5*m + 2*g + 37. What is the highest common factor of y and m?
7
Suppose -15 = -3*n, 5*i + 33*n - 30*n - 5115 = 0. Let r = i + -602. Suppose -2*k + 6 = 2, 5*t - 182 = 4*k. Calculate the highest common factor of t and r.
38
Let s = 119 - 42. Let v = -53 + s. Suppose 4*i + 0*y - 48 = -4*y, i = 2*y + 24. Calculate the greatest common divisor of v and i.
8
Let o(a) = 10*a - 2. Let c be o(5). What is the highest common factor of c and 6?
6
Suppose f - 14 = -4*w - 49, 85 = -4*f - 5*w. Let x = 55 + f. What is the highest common divisor of x and 60?
20
Let y be 21/(-9)*(-5 - 1). Suppose -4*o = 4*o + 4*o. Suppose o = -2*j + 115 + 25. Calculate t
|
{
"pile_set_name": "DM Mathematics"
}
|
Let w(l) = -l**2 - 3*l + 1. Let g be w(-4). Let z be -1*g/2*2. Suppose -z*s + 38 = 8. What is the highest common divisor of 90 and s?
10
Let w be -30*((-20)/6)/5. Let k = -50 + w. Let n = k + 44. What is the greatest common factor of 28 and n?
14
Let y(t) = -t**2 - t + 348. Let i be y(0). Let c = 501 - i. Calculate the greatest common divisor of 17 and c.
17
Let o = 28 + -6. Let l = o - 8. Let g be (1 + (-20)/(-8))/(2/4). Calculate the highest common factor of l and g.
7
Let v = 14 - -3. What is the greatest common divisor of v and 17?
17
Let p be 6/33 - (-416)/11. Suppose 0 = 4*b + w - 230, 0*w + 3*w = 5*b - 279. What is the highest common factor of b and p?
19
Let g = 159 + -54. Calculate the highest common divisor of g and 21.
21
Let j(l) = 3*l**3 + 2*l**2 - l. Let i be j(1). Suppose i*t = -1 + 89. Let x be 1/(-2 + 23/11). Calculate the greatest common factor of x and t.
11
Let m be 6/2*(-1 + 7). Suppose 0 = 5*g - 0 - 15. Suppose 35 = g*h + 8. Calculate the highest common factor of h and m.
9
Suppose -2*i = -4*i + 24. Calculate the highest common divisor of i and 36.
12
Suppose -3*a = 3*a - 390. What is the highest common divisor of a and 5?
5
Suppose -4*d = -6*d + 6. Suppose 0*v - d*v + 3 = -5*z, -3*z = -3*v + 9. Calculate the greatest common factor of v and 54.
6
Let z(o) = 0 - 4 - 1 + 1 + 3*o**2 + 3*o. Let x be z(4). Calculate the highest common divisor of x and 8.
8
Let v(r) = -r + 11. Let p be v(5). Suppose z + 5 = -2*o, -o + p = -5*o + 2*z. Let y be 259/4 + o/(-8). What is the greatest common factor of 13 and y?
13
Suppose 11 = 4*y - 21. Suppose -4*z - 131 = -2*d - 3*z, -189 = -3*d - z. What is the highest common divisor of y and d?
8
Suppose -4*x + 0 = -2*l - 2, -l = 5*x - 20. What is the greatest common divisor of l and 15?
5
Suppose -4*s = -0*s. Let j(r) = -r**2 - 7*r - 7. Let x be j(-5). Suppose s = -x*o + 2*o + 15. Calculate the greatest common factor of 10 and o.
5
Let w = 63 - -3. Let s = 11 + 11. What is the greatest common divisor of s and w?
22
Let m(r) = -2*r - 33 + 33. Let i be m(-6). Let g be i/(-8)*(-16)/3. What is the highest common factor of 88 and g?
8
Let i(l) = l - 7. Let z be i(3). Let w = z + 8. Suppose 3*a - 5*d = 56, 0 - 4 = a + w*d. What is the greatest common divisor of 48 and a?
12
Suppose 0 = 4*i - 0*i. Suppose i = -0*c + 4*c - 308. Suppose -3*r = -4*r + c. Calculate the greatest common factor of 11 and r.
11
Let l(i) = -i + 5. Let y be l(5). Suppose y = -4*s + 56 + 52. What is the highest common factor of 3 and s?
3
Let m be (80/(-12))/(3/(-18)). Calculate the greatest common factor of 30 and m.
10
Let b = -13 - -23. Suppose 0*g - b = -5*g. Calculate the greatest common divisor of 3 and g.
1
Let l be (-48)/(-4) - (1 - 1). Suppose 5*o - l = 3. Calculate the greatest common factor of o and 9.
3
Let w(t) = -t - 9*t - t. Let c be w(-6). What is the highest common divisor of 6 and c?
6
Let a(q) = -q - 3. Let v be a(-5). Let w(x) = x**3 - x**2 - x - 1. Let k be w(v). What is the greatest common factor of 5 and k?
1
Suppose 6*y - y = 25. Suppose 0 = 2*u - y + 17. Let t = u - -142. What is the highest common factor of 17 and t?
17
Let b = 10 - -18. What is the greatest common divisor of b and 14?
14
Suppose 25 = 3*b - 5*o, 3*b - 3*o = 24 - 9. Let a be 10/1 - (b - 3). Calculate the highest common divisor of 91 and a.
13
Let c = 63 + -48. Calculate the greatest common factor of 35 and c.
5
Let x be (3 - (-162)/(-30))*50/(-3). What is the greatest common factor of x and 5?
5
Let n be (17/2)/((-3)/(-6)). Calculate the greatest common divisor of 136 and n.
17
Suppose -3*u + 31 + 14 = 0. What is the highest common factor of u and 120?
15
Let t be 10/(((-2)/24)/(-1)). Calculate the highest common divisor of 15 and t.
15
Let m = 12 + -13. Let x(b) = 1. Let n(h) = 9*h + 3. Let j(f) = -n(f) + 4*x(f). Let g be j(m). What is the greatest common divisor of 10 and g?
10
Suppose 0 = 2*o - q - 24, 0 = -5*o - 9*q + 4*q + 75. What is the highest common factor of 13 and o?
13
Let n = -184 + 234. Calculate the greatest common factor of 450 and n.
50
Suppose 0 = 6*v + 26 - 128. What is the highest common factor of 51 and v?
17
Let f be (1 + -4*1)/(9/(-168)). What is the greatest common factor of 28 and f?
28
Suppose 4*s + 58 - 218 = 0. Let m = s - 20. Calculate the highest common factor of m and 60.
20
Suppose -40 = -4*t - 8. Calculate the greatest common factor of t and 12.
4
Let a(r) = -r - 1. Let v be a(-1). Suppose -4*u + v*f + 318 = -2*f, -u + 2*f + 78 = 0. What is the greatest common factor of u and 16?
16
Let r be (-65 + 0)*((-26)/10 - -2). What is the greatest common divisor of 117 and r?
39
Suppose n + 10 = 3*n. Let b(z) = z**2 - 6*z + 7. Let h be b(n). Suppose -r - h*r = -225. Calculate the highest common factor of 30 and r.
15
Suppose b = -b + 22. Calculate the greatest common factor of b and 22.
11
Suppose -f + 16 = 3*f. Let w be (-756)/(-44) - f/22. What is the greatest common factor of w and 136?
17
Let t = 70 + -40. Calculate the greatest common divisor of t and 12.
6
Let w(g) = g + 343. Let k be w(0). Let y = k + -226. Calculate the greatest common factor of 13 and y.
13
Suppose 11*r - 196 - 134 = 0. Let m be 0/(2 + -3 + -1). Suppose 2*g = -2*j + 40, m*j - 5*j + 70 = -g. What is the highest common factor of j and r?
15
Let j be (-3 - -1)*-1*(-7)/(-2). What is the highest common factor of 7 and j?
7
Suppose 0*s = 5*s - 200. Let z = 17 + -12. What is the highest common divisor of z and s?
5
Let y = 1430 + -935. Suppose y = 11*t - 6*t. Calculate the greatest common factor of t and 9.
9
Let v = -86 + 176. What is the highest common divisor of 18 and v?
18
Suppose 19 = h - 3*r, 4*h + h = -5*r - 5. Suppose 0 = -4*j + q + 36, -3*q - 45 = -5*j - 8*q. Let o = 41 - j. Calculate the highest common divisor of h and o.
4
Let n be 16/9 - (-6)/27. Suppose n = 4*l - 6. Suppose -j = l*k - 168, -k = -0*k - 4. Calculate the greatest common factor of j and 20.
20
Let h be (2/6)/(5/405). Suppose -2*k - 18 = -4*k. What is the greatest common divisor of h and k?
9
Suppose 3*u - 4*h = 32, -u + 22 = 2*u - 2*h. Suppose -3*p - u*r + 4 = 0, 22 = p - 2*r + 4. Suppose 14 = w - 2. What is the highest common divisor of w and p?
8
Let k = -70 - -80. Suppose -3*q + 5*q - 18 = -4*d, 0 = q + 3. Let t = d + 24. What is the greatest common factor of t and k?
10
Let q = -83 + 97. What is the greatest common factor of q and 35?
7
Let d = 15 + -13. Suppose 5*b - 4*m - 200 = 179, 0 = -4*b - d*m + 298. What is the greatest common divisor of 30 and b?
15
Suppose -5*k + 51 = -3*g, 0*k + g - 16 = -2*k. Calculate the greatest common divisor of k and 9.
9
Let l(h) = -h**3 - 4*h**2 - h + 3. Let s be l(-5). Calculate the highest common divisor of 22 and s.
11
Suppose l + 4*l - 25 = 0. Suppose l*o - 630 = 2*o. Let g be (21/(-2))/(1/(-2)). Calculate the highest common divisor of g and o.
21
Let t be 338/8 - (-1)/(-4). Suppose v - 38 = -v - 3*q, t = 2*v + q. What is the greatest common divisor of v and 11?
11
Let d = 89 + 98. What is the greatest common factor of 17 and d?
17
Let t be (742/10)/7 - (-2)/5. Suppose 5*b - 55 = -0*b. What is the highest common divisor of b and t?
11
Let n(b) = 5*b**2 - 3*b + 1. Let c(v) = 9*v**2 - 6*v + 2. Let g(r) = -6*c(r) + 13*n(r). Let s be g(4). What is the highest common factor of 15 and s?
15
Suppose -y - 50 = -186. Let u = 226 - y. Let s be -4*2*(91/(-28) + 1). What is the highest common divisor of s and u?
18
Let u(d) = 2 + 3 + 4 + 7*d - 10*d**2 + 3*d**2 - d**3. Let p be (-1 - 5)*(-8)/(-6). Let s be u(p). Calculate the highest common divisor of 51 and s.
17
Suppose a - 2 + 0 = 0. Suppose w - a*w = -22. What is the highest common factor of w and 33?
11
Suppose -3*m = 36 - 234. Let s = -41 + 140. What is the highest common factor of m and s?
33
Let f(t) = t**2 - t - 2. Suppose -2*m - 4 = 4. Let s = m - -9. Let a be f(s). Calculate the greatest common factor of 9 and a.
9
Let g be ((-2)/4)/(1/(-30)). Suppose -5*p + 34 = -p + 2*z, -p = z - 7. Calculate the greatest common factor of g and p.
5
Let c(w) = 5*w**2 + 4*w - 6. Let p be c(4). Let a(l) = -l**2 - 9*l - 2. Let h be a(-5). What is the highest common divisor of h and p?
18
Let j(l) = l**2 - 9*l + 17. Let p be j(8). What is the highest common factor of 18 and p?
9
Suppose 5*d +
|
{
"pile_set_name": "DM Mathematics"
}
|
? (a) f (b) -2 (c) 3
c
Let a = 53/85 + -11977/19890. Let m = 22723/1170 - a. Let d = 20 - m. What is the third smallest value in 6/7, 0.2, d?
6/7
Let k = -455 + 451. What is the second smallest value in k, -0.2, -7, -10?
-7
Let x = 1/239 - 965/2151. Which is the third smallest value? (a) x (b) 5 (c) 2/19
b
Suppose 3*h + 3*z = 15, -2*z = h - 7*z - 5. What is the fourth biggest value in h, 1/5, -1, -0.3?
-1
Let i = 2.5 + 3. Let f = 5.5 - i. Which is the smallest value? (a) f (b) 5 (c) -1.1
c
Let q be (-16)/6*(-27)/(-90). Let h = q + 6/5. Let t = -1/121 - 229/1573. What is the second smallest value in t, 3, h?
h
Let j = -3.9 + -1.1. Let m = 217 - 214. Which is the third smallest value? (a) j (b) m (c) -0.1
b
Let x = -0.02 - 0.14. Let j = 0.74 - x. Let o = -3.1 - j. What is the third smallest value in o, 4, 5?
5
Let k(c) = 0*c + 2*c - 5 - 1. Let h be k(4). What is the second biggest value in -5, -0.8, h?
-0.8
Let r = -84.7 + 84.7. Which is the second smallest value? (a) r (b) -5 (c) 321
a
Let j be 3/(-4) + 88/32. Suppose j*m = 3*t + 1 + 6, 10 = 2*m. Let w = 0.03 - -4.97. Which is the third biggest value? (a) -3 (b) t (c) w
a
Let h(r) = r + 21. Let o be h(-24). Let j(f) = -f**2 + f. Let m be j(2). Which is the smallest value? (a) o (b) 0.2 (c) m
a
Let m = 2.3 + -2.2. Let p = 3.6 - 0.6. Let v = p - 1. Which is the second smallest value? (a) m (b) v (c) 0
a
Let u = -1200 + 1200. Let o = 210 - 2732/13. Which is the third biggest value? (a) u (b) o (c) -4
c
Let j = 26.3 - 68.7. Let r = 42 + j. Which is the biggest value? (a) r (b) 1/5 (c) -2/3
b
Suppose 3*h + 3*m = -75, -4*h + 5*m + 4 = 149. Let s = h + 42. Suppose -s*z = -10*z. What is the smallest value in -0.4, 4, z?
-0.4
Let b = 0.97 + 0.06. Let v = b + -0.73. What is the third smallest value in -2, 2, v, 0.04?
v
Suppose -6 = -4*s - 14. Let k = -7/17 + 38/51. Which is the biggest value? (a) -0.4 (b) k (c) s
b
Let n = 342 + -342.3. Which is the biggest value? (a) -2 (b) n (c) -9 (d) -3
b
Let t = 0.1626 - 29.1626. What is the second biggest value in t, 8/7, -2/11?
-2/11
Suppose -8*u = 2*y - 9*u + 6, 4 = -4*y - 2*u. Which is the smallest value? (a) -5 (b) 0 (c) -4 (d) y
a
Let l = -0.0365 + 0.4365. What is the third biggest value in 1, l, -6/5, -2/29?
-2/29
Let f = -4.5 + 4.3. Let h = -0.4 - -0.2. Let t = h + f. Which is the second smallest value? (a) t (b) 0.4 (c) 3
b
Let x(h) = h**3 + 26*h**2 - h - 27. Let s be x(-26). Which is the third smallest value? (a) -3/139 (b) 0.5 (c) s (d) -4/5
a
Suppose -2*z = 5*i - 4, -i + 3*z + 9 = -2. Let q(g) = g - 2. Let s be q(i). Let h = s + -3. What is the second biggest value in -4/9, h, -1?
-1
Let i = -106 - -849/8. Let m(f) = -3*f + 17. Let z be m(5). Let k be (z*2/8)/(-1). Which is the second smallest value? (a) -1 (b) i (c) k
c
Let z = 50/9 + -214/45. Let o = 0.97 - -0.23. Let w = o + -1.2. Which is the smallest value? (a) z (b) w (c) 1
b
Let p = -19/22 - -4/11. Let t = -775.3 - -770.309. Let v = -0.009 + t. Which is the second biggest value? (a) v (b) p (c) -0.2
b
Let y = 0.467 - 0.167. Let q = -9 - -13. Which is the smallest value? (a) 0 (b) y (c) 5 (d) q
a
Let s = 361 - 12633/35. Let a = 1247 - 1245. What is the second biggest value in -2, a, s?
s
Suppose 5*s - 4*q + 90 = q, 2*q = 8. Let r be (-32)/s - 2/7. Let g = -4 + 7. Which is the third smallest value? (a) g (b) 1/2 (c) r
a
Suppose -17*s = -23*s + 30. Which is the fourth biggest value? (a) 0 (b) s (c) -0.1 (d) -5
d
Let j = 144 - 287/2. Which is the second smallest value? (a) 0.2 (b) -0.11 (c) j (d) 5
a
Let v = -4.9274 - 0.0726. Let w = 0.1 + 0.9. Which is the smallest value? (a) 2/3 (b) -2 (c) v (d) w
c
Let w = 2.358 - 2.258. Which is the third smallest value? (a) 5 (b) w (c) 156/23
c
Suppose -15 - 24 = -3*s - 2*n, -n + 42 = 3*s. Suppose 3*u + s = 8*u. What is the third smallest value in -2/27, u, -3/8?
u
Suppose 5*i = 0, -5*i - 62 = -5*q + 23. Let g = q - -3. Which is the second biggest value? (a) g (b) -3/5 (c) 1
c
Let h = -116 - -115.41. Let z = h - -0.29. Which is the third biggest value? (a) z (b) 0.05 (c) 2/15
a
Let n = -1 + -4. Let y = -3.9 - -1. Let p = y - -4.9. What is the third smallest value in p, n, 0.2?
p
Let l = 1.7 - -8.3. Let h = 6 - l. Let t = -129 + 126. Which is the third smallest value? (a) t (b) -2/11 (c) h
b
Let z be 6/27*(6 - -1). Let h = 116/63 - z. What is the biggest value in -1/2, 0.1, h?
h
Let t = 2/13 - -9/26. Let h be (32/40)/(28/10). What is the fourth biggest value in -0.3, t, -3, h?
-3
Suppose 4*r = -149 - 19. Let z be 8/r + (-5)/35. Which is the biggest value? (a) -2/13 (b) 2 (c) z
b
Let r = 1.65 + -1.7. Let j = 14.05 + r. Let k = 13 - j. Which is the third biggest value? (a) k (b) -2 (c) 0.4
b
Let g be 2/(-30)*(-42)/(-406). What is the fourth biggest value in g, -3, -4, -5?
-5
Let k = -192.8 + 162.8. Which is the fourth smallest value? (a) -5 (b) k (c) -0.2 (d) 1
d
Let x be 255*(-2)/(3 + -5). Let y = 4333/17 - x. Let k(u) = -u - 6. Let m be k(-4). Which is the second biggest value? (a) m (b) -1 (c) y
b
Let l be (1/(-5))/(-1)*(-60)/72. Let u = -0.35 + 0.05. Let g = 0.1 + u. Which is the third biggest value? (a) 0.5 (b) l (c) g
c
Let n = -143.35 - -132. Let o = n + 11. Let k = -0.15 - o. What is the second smallest value in k, -2/21, -0.4?
-2/21
Let r be ((-2)/(-35))/(((-112)/40)/(-7)). Which is the third biggest value? (a) r (b) 8 (c) 0.1 (d) -2/15
c
Suppose -2*w = -5*w + 4*f - 1, 7 = -3*w + f. Let g be 4/(14/(-3)*w). Let l = 5.8 + -5.6. What is the second biggest value in l, g, -0.14?
l
Suppose 2*n + 3*n = 0, 3*m + n = 0. Let b = -4 + 3.7. What is the third biggest value in 0.3, b, m?
b
Let w(v) be the first derivative of -v**4/4 - 4*v**3/3 - 2*v**2 - 3*v - 5. Let u be w(-2). Let k = 63 + -314/5. What is the second biggest value in u, k, 4?
k
Let j(s) = -s + 15. Let m be j(13). Let u = m + -7. What is the third smallest value in 2, u, 1?
2
Let r = -217 - -359. Let v = r - 141.9. What is the biggest value in 3/7, v, 3?
3
Let h = 11.7 - -36.3. Let j = h + -48.5. Which is the third smallest value? (a) j (b) -2/25 (c) 0.1
c
Let h = -533/3 - -177. What is the second smallest value in 2/9, -3/5, -2, h?
h
Let l be 62/15 - (-10)/15. Let o = 67/15 - l. Let w = -0.03 + -0.07. What is the smallest value in w, 0, o?
o
Let z = -2591 + 2604. What is the biggest value in -1/7, z, -2/13, -3?
z
Let l = -0.013 - 0.187. Let g = -255/4 + 64. Which is the biggest value? (a) -3 (b) 4/9 (c) l (d) g
b
Let s = 18.2 - -3.8. What is the second smallest value in -0.2, s, 2/5, 5/4?
2/5
Let z(p) = -81*p - 1. Let m be z(0). What is the biggest value in m, 0.3, -0.3, 2/15?
0.3
Let p = -0.2 + -0.3. Let y = -1108 + 1109. Which is the fourth biggest value? (a) 2/11 (b) y (c) p (d) -0.1
c
Let p = -14 - -18. Let f be p/(-1) - -2 - -2. Let m = -4 + 2. What is the third biggest value in m, -3, f?
-3
Let d = -6.1 - -37.22. Let b = d + -31. Let j = 0.02 - b. What is the biggest value in 2, -1, j?
2
Let r = -6.2 + 6. Let v = -5.26 - -1.26. Which is the second biggest value? (a) r (b) v (c) -3
c
Let h = 680 - 683.2. Let x = -0.2 + -0.8. What is the third biggest value in h, -5, x?
-5
Let l = -1.15 - -0.95. What is the third smallest value in 0.06, 1, -2, l?
0.06
Let g = 1.3 - 0.3. Let q = 6562.4 - 6562. Which is the second smallest value? (a) 1/69 (b) g (c) q
c
Let f = 1270 + -1268. Let y = -0.22 + 0.2. Which is the fourth smallest value? (a) y (b) 0.2 (c) -2 (d) f
d
Let o be ((-15)/10)/(15/4). Let n be (32/(-40))/((-2)/(-119)). Let s = -47 - n. What is the smallest value in 1, o, s?
o
Let u = -146 + 155. Let p = -4 + 0. Let g be 3 - p*15/(-18). Which is the smallest value? (a) g (b) 0.3 (c) u
a
Let d = -529 + 529.1. What is the third biggest value in 7/4, -0.4, d?
-0.4
Let h = -306 - -307. What is the second biggest value in 5, -4, -2/3, h?
h
Suppose -18 = -5*u + 2, 5*u = -4*j + 32. Let i be (12/54)/(j/(-9)). Which is the second smallest value? (a) i (b) 0 (c) 0.3
b
Let q = 15 + -2. Let o(b) = -2*b**3 - 10*b**2 - 1. Let i(a) = -6*a**2 + 3*a - 2. Let p be i(1). Let x be o(p). What is the smallest value in 1, q, x?
x
Let o be 13/3 + (-6)/18. Let d = 7 - 7.5. What is the sma
|
{
"pile_set_name": "DM Mathematics"
}
|
in ascending order.
-10, -2, a
Let y(k) = -k**3 + 6*k**2 + 5. Let p be y(6). Suppose 4180 = 28*m - 39*m. Let d be (-2)/(-10) + (-10184)/m. Put -3, d, p in ascending order.
-3, p, d
Let v = 5.524 - 0.524. Let y = -7 + -1.4. Let u = y - -3.4. Sort v, u, -0.05 in decreasing order.
v, -0.05, u
Suppose -19 = 229*h - 228*h - 5*t, -3*h = 3*t + 93. Put h, -16, -2 in increasing order.
h, -16, -2
Let a = 525 - 530. Sort 7, -1, -0.2, a.
a, -1, -0.2, 7
Let q(x) = -13*x**2 - 117*x - 117. Let b be q(-1). Sort 0, b, -6, 1, -2 in descending order.
1, 0, -2, -6, b
Let z = 4625.3 - 4625. Sort 23.2, z, -1/7 in ascending order.
-1/7, z, 23.2
Let s = -2642 - -1843. Let n = s - -800.2. Sort -0.4, 0.5, n, 3/5 in ascending order.
-0.4, 0.5, 3/5, n
Let u be 24/(-231) - (-2)/7. Let b = -38555 - -1349557/35. Let g = -431/105 + b. Sort u, -0.2, g in decreasing order.
u, -0.2, g
Let i = 5161 - 5161. Put 1/4, -10/9, i, 2/5 in increasing order.
-10/9, i, 1/4, 2/5
Let t = -2.41 - -2.21. Let j = 194 - 1356/7. Put t, j, 3 in descending order.
3, j, t
Let o = 482.5 + -484.5. Let y be 3/6 + 7/(-10). Put y, 2/9, o, 0.3 in increasing order.
o, y, 2/9, 0.3
Suppose -13 = 5*g - 3*m, -4*g - 4*m + 5*m - 16 = 0. Let s = g + 14. Let x be 36/90 - (-2)/(-5). Put -3, 4, s, x in increasing order.
-3, x, 4, s
Let o(g) = -19*g**3 - 116*g**2 - 6*g + 31. Let k be o(-6). Let c(q) = -q - 2. Let p be c(-8). Let x be 1 + 3*2/6. Put p, 0, x, k in increasing order.
k, 0, x, p
Let f(n) = -25*n + 292. Let m be f(12). Put -2, 1, m, 3 in decreasing order.
3, 1, -2, m
Let n = 17364.89 + -17364. Put 4/7, n, -4, 0.4, 5/3 in increasing order.
-4, 0.4, 4/7, n, 5/3
Suppose -5*o = 5*q - 190, 140 = 3*o - 3*q + 14. Suppose 0 = o*g - 10*g + 150. Let n be (-1)/(-1*(-1)/2). Sort 4, n, g.
g, n, 4
Let a = -0.053 + 11.153. Let h = a + -10.1. Let t = 39 + -45. Sort -0.5, t, h in ascending order.
t, -0.5, h
Let f = 2726 - 2332. Sort 1, 0, -4, f in ascending order.
-4, 0, 1, f
Let i = -1037.2 - -1037.6. Sort -3, -1/7, i, 1/7, -2/15 in decreasing order.
i, 1/7, -2/15, -1/7, -3
Let m = -41 - -39. Suppose 3*d - 149 = -4*f, 5*f - 166 = -5*d + 89. Let l = d + -60. Sort m, 0, l, 1 in descending order.
1, 0, m, l
Let n be 15/(1155/476) - (2 - -4). Put 0.1, 0.4, -1/4, 1, n in descending order.
1, 0.4, n, 0.1, -1/4
Let b be (-429)/8151*(-19)/2. Sort 18, b, 6/7, -8 in ascending order.
-8, b, 6/7, 18
Let s = 592 - 595. Let v be (-4)/s*(-8 - (-1074)/132). Sort -2/31, v, 5 in descending order.
5, v, -2/31
Let c = 18416 - 18427. Sort c, 2/7, -1/3, -6, -5 in descending order.
2/7, -1/3, -5, -6, c
Let l = 36 + -36.5. Suppose 10*z - 819 = 3*z. Let g = z + -119. Put g, l, 0.09, -3 in increasing order.
-3, g, l, 0.09
Let a = -4 + 7. Suppose 2 + a = -s. Let p(z) = z**3 - 15*z**2 - 34*z + 11. Let x be p(17). Put x, s, -4 in ascending order.
s, -4, x
Suppose -4*u - k - 2*k = -13, 0 = u - 2*k + 5. Suppose -u = -w - 2. Suppose 17*y + 7 - 82 = -8*y. Sort y, -2, w in descending order.
y, w, -2
Let u = -15720.3 - -15720. Sort 11, -0.059, u, 0.2 in descending order.
11, 0.2, -0.059, u
Suppose 3*m - m + 16 = 0. Let l = -798 - -793. Sort 1, l, m, 2 in descending order.
2, 1, l, m
Suppose -119*l = 3920 + 2982. Put -5, -12, l, -3 in decreasing order.
-3, -5, -12, l
Let b be 2/13 - ((-84)/(-39) + 4) - -24. Sort 1, b, -2, 20 in increasing order.
-2, 1, b, 20
Suppose -4*w - 50 = w. Let f = 85 - 81.625. Let c = 0.375 - f. Put c, w, -4 in ascending order.
w, -4, c
Let i = -0.12784 + -18.87216. Sort -3, i, 0.3, -2/19, -5.
i, -5, -3, -2/19, 0.3
Let b = -35.702 - -35.622. Put b, -1/2, -52 in increasing order.
-52, -1/2, b
Let z = 1 + -0.8. Let f = 1000 + -1000.3. Let a = f + z. Sort 4, 3/4, 5, a.
a, 3/4, 4, 5
Let u(q) = -33*q - 826. Let y be u(-25). Put -14, y, -10 in ascending order.
-14, -10, y
Let u(d) = 9*d**2 - 94*d - 59. Let p be u(11). Sort p, -3, 20, -5 in descending order.
20, -3, p, -5
Let f = -9742/3 - -506479/156. Let v be 3 + -3 + 2/(-26). Let b = f + v. Sort b, 0.2, 1/3, -3 in descending order.
1/3, 0.2, b, -3
Let n = -4480 + 4479.5. Sort 2/15, n, -0.34 in descending order.
2/15, -0.34, n
Suppose 6 = -6*d + 4*d. Let m(k) = -42 + k + 78 - 41. Let h be m(8). Sort -4, h, -2, d in descending order.
h, -2, d, -4
Suppose 13*u - 11*u - 2 = 0. Suppose w + 3 = 2*q, -2*w + 8 + u = q. Let t be ((-6)/8)/(-1)*-4. Sort w, -2, t.
t, -2, w
Suppose 2*d = 8, -5*l + 3*l = 5*d + 372. Sort l, -2, -5 in descending order.
-2, -5, l
Let x = 0.9 + 0.1. Let b = 176422 - 4057708/23. Put b, 2/13, x, -0.3 in ascending order.
-0.3, b, 2/13, x
Let q = 28487 + -28487.4. Sort 8/5, -0.46, q in increasing order.
-0.46, q, 8/5
Let m = -0.28969 - -0.78969. Put 4.02, m, -1 in descending order.
4.02, m, -1
Let y = 7977 + -7973. Put -10, -4, 0.3, y, 83 in ascending order.
-10, -4, 0.3, y, 83
Let w = 3 + -3. Suppose 2*u - 17 = -3*q, -9*q + 6*q = 4*u - 31. Sort w, q, -2, 0.4 in increasing order.
-2, w, 0.4, q
Let u = 5674 + -5670. Sort 2, -22, u, -4.
-22, -4, 2, u
Let b = 1319.5 + -1316.5. Put 16, -0.23, b in increasing order.
-0.23, b, 16
Suppose 0 = -2*r + 2*z - 26, -2*r + 3*z - 3 - 20 = 0. Let b = -9 - -10. Put -2/19, b, r, -0.3 in ascending order.
r, -0.3, -2/19, b
Let m = -10931 + 10930. Let i = -1.2 - 2.8. Sort 0.2, -2, i, m.
i, -2, m, 0.2
Suppose -p + 50 = 5*y, -p + 23 = 31*y - 29*y. Put 0.5, -0.1, y in descending order.
y, 0.5, -0.1
Suppose 2*m - 7*m + d - 47 = 0, -44 = 4*m - 4*d. Let z be (-3)/m + (1 - 2). Let p = -144791 + 144788. Sort 1, z, p in decreasing order.
1, z, p
Let w = -4088 - -4083. Sort -11, 61, w.
-11, w, 61
Let l = 8.01 - 8.01. Let b = 170 - 1192/7. Let m be -2 + ((-76)/(-37))/1. Sort m, b, l, -2.
-2, b, l, m
Let r be 62/(-10) + -2 - (-41)/205 - -3. Let q(a) = a**2 - 5*a + 4. Let c be q(3). Let h be 3 - (0 + 1) - -1. Put 2, c, r, h in descending order.
h, 2, c, r
Let o be 946/66 - (-126)/(-9). Let l be -3*1 - (-10)/5. Let z be 16/4*l/18. Sort z, 4, o in descending order.
4, o, z
Let j = -460 - -468. Let g = -28 + 31. Sort g, 5, j, 0.
0, g, 5, j
Let o = -44589 + 44513. Put -2, o, -16, 2, 4 in descending order.
4, 2, -2, -16, o
Suppose -4*f - 25 = f, -3*o + 19 = -2*f. Let b be -54 + 15/o + 0. Let g = b + 50. Sort g, 5, 0, -1 in descending order.
5, g, 0, -1
Let v = 57.3 + -58. Let z = -0.6 - v. Suppose 3*r = 2*r + 2. Sort -2/3, r, z in increasing order.
-2/3, z, r
Let p = 18.361 + -17.361. Put p, 1/7, -0.804 in ascending order.
-0.804, 1/7, p
Let t(c) = -10*c**2 - 21*c - 15. Let o be t(-8). Let g = 486 + o. Sort g, 0, 16 in descending order.
16, 0, g
Let r(f) = 4*f - 45. Let x be r(10). Put 1, x, 0, 4, 17 in decreasing order.
17, 4, 1, 0, x
Let u = -4367 - -4291. Put -0.3, -2/13, u, 2/9 in ascending order.
u, -0.3, -2/13, 2/9
Let q(i) = 7*i**2 + 29*i + 9. Let v be q(-5). Let y be 2/((-8)/(-11))*-14. Let n = y + v. Sort 5, n, 0.3.
0.3, n, 5
Let b = -4462 - -4467. Put b, -4, -35, -0.1 in ascending order.
-35, -4, -0.1, b
Let z = -0.04288 + 4.04288. Sort 1.4, 4/9, z in ascending order.
4/9, 1.4, z
Let d = 1.6 + -1.24. Let r = -1.24 + 4.6. Let p = r - d. Put 0.3, p, -5 in descending order.
p, 0.3, -5
Let w = -92.9 - -92.213. Let b = 0.313 - w. Sort 5, -29, b, -3 in increasing order.
-29, -3, b, 5
Let s be (1/(-7))/(24/28). Let v = 5055 + -5055. Sort -3, v, -0.1, s in descending order.
v, -0.1, s, -3
Let y = -131.2 - -131. Put y, 4, -5, -2 in decreasing order.
4, y, -2, -5
Suppose 19*g - w - 79 = 16*g, 5*g - 137 = 3*w. Suppose g = -4*x + 3*p + 28, 3*p = -15. Sort x, 2, 13 in ascending order.
x, 2, 13
Let w be ((-349)/(-3))/(91/(-39)). Let c = -50 - w. Let t = 84/31 + -765/248. Sort 2/3, c, t in decreasing order.
2/3, c, t
Suppose 0 = 6377*s - 6359*s - 412 - 146. Let j(o) = -o - 1. Suppose -2*v - 3*w + 1 = -11, 4*v = 3*w + 6. Let r be j(v). Put s, 5, r in increasing order.
r, 5, s
Let h = 4781 - 4779. Put 13.5, -5, h in decreasing order.
13.5, h, -5
Suppose 2*a + 5*o - 6 = 0, -2*a = a + 4*o - 2. Suppose -4*b = 2*h - 30, -4*h + 14 = 4*b - 6. Sort 1, a, -1, b in descending order.
b, 1, -1, a
Let j = 5835 + -5834.98. Put -1, j, 1/2, -5, 1.5 in descending order.
1.5, 1/2, j, -1, -5
Suppose -m = 4*w - 10, 8*m - 4*m + 5*w = 73. Let s = -17 + m. Suppose -3*v - 4*d + 75 = -5*d, 2*d = -s*v + 136. Sort -3, -4, v in decreasing order.
v, -3, -4
Let r be (-2 + (60/8 - 5))*-2. Sort
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(5)
Simplify -3*((2 + -2*3*sqrt(343) + -1)**2 + 1).
-37050 + 252*sqrt(7)
Simplify (-6*5*(sqrt(2025) + sqrt(2025)*3))/((sqrt(1080) - sqrt(1080)*-2 - sqrt(1080))/(4*sqrt(54))).
-1080*sqrt(5)
Simplify (2 + sqrt(1053)*2 + (-6*sqrt(208) - (sqrt(208) + -1 + sqrt(208) + sqrt(208))) + 3 + 3)**2.
-324*sqrt(13) + 4293
Simplify (-4 + 4 + (-1 + 1 + sqrt(98) - (sqrt(98)*1 + sqrt(98))*-5) + -2 + -1)**2 + 4.
-462*sqrt(2) + 11871
Simplify -5 + 4*((sqrt(108) + -2*sqrt(108)*-1 + 3)*3*-3)**2.
34992*sqrt(3) + 317839
Simplify (6*5*(1 + sqrt(125)*-4 + -2 + sqrt(125) + sqrt(125)*-1 + sqrt(125) + -4))**2.
135000*sqrt(5) + 1035000
Simplify (-5*sqrt(297)*3)/(sqrt(11)*1*-4 + (sqrt(66)*-1)/sqrt(6))*3.
27*sqrt(3)
Simplify ((-3*-4*sqrt(13))**2 - (sqrt(13) + -4 + sqrt(13) + -1)) + ((sqrt(1300)*-2)/(sqrt(16)/sqrt(4)*5))**2.
-2*sqrt(13) + 1929
Simplify (sqrt(405) - sqrt(405)*-2*1)/sqrt(9) + -4*((sqrt(720) - (sqrt(720) + 0)*1) + sqrt(720))**2.
-2880 + 9*sqrt(5)
Simplify -5 + (-2 + 3*1*sqrt(700)*6 + 4)**2 + 5 + -5.
720*sqrt(7) + 226799
Simplify -4*((sqrt(130) - (sqrt(130) + -1*sqrt(130)))*-2 + sqrt(130))/sqrt(10) - ((sqrt(78) + (sqrt(78) - (sqrt(78) + -1*sqrt(78))))*-6)/sqrt(6)*-2.
-20*sqrt(13)
Simplify (-5*-5*sqrt(55)*-2 - (sqrt(660)/sqrt(192) - 6*sqrt(110)/sqrt(2)))/(((1*sqrt(350))/sqrt(10))/(sqrt(252) - (sqrt(252) - -3*sqrt(252)))).
1593*sqrt(11)/2
Simplify -5 + (-5 + 5 + sqrt(2448)*1)**2 + (-3 + sqrt(2448) + -4 + 0 + sqrt(2448) + sqrt(2448) + -5 + sqrt(2448))**2.
-1152*sqrt(17) + 41755
Simplify (5 + -4*sqrt(1700)*-1 + 2 + 1*(sqrt(51)/sqrt(3)*3 - (sqrt(1700) + -1)))**2*3.
1584*sqrt(17) + 55731
Simplify (sqrt(400)/(sqrt(10) - (sqrt(250) - sqrt(10))))/(sqrt(200)*6) + 1 + -4 + -5 + (sqrt(5) - (sqrt(15) - sqrt(135) - sqrt(15))/sqrt(3)).
-8 + 359*sqrt(5)/90
Simplify (-5 + (-2*(5 + sqrt(2448) + sqrt(2448) + 1 + (sqrt(2448) - (sqrt(2448) + (sqrt(2448) - (sqrt(2448) + -2)))*-3)) + -4 + 3)*2)**2.
31680*sqrt(17) + 1413073
Simplify 3 + (sqrt(6048)*-2 + 6*sqrt(168)/sqrt(4))/((sqrt(6) + 2*sqrt(48)/sqrt(8))*6).
-sqrt(7) + 3
Simplify -1 + ((2*sqrt(168))/sqrt(4) - sqrt(42))/(-2*sqrt(96)) + (2*sqrt(2800))/(2*sqrt(4)*-1 + sqrt(4)).
-161*sqrt(7)/8 - 1
Simplify (((sqrt(110) - -3*(sqrt(110) - sqrt(110)*2)) + -5*2*sqrt(110))/(sqrt(250)*1*-4 + sqrt(250)) + 3)**2.
24*sqrt(11)/5 + 401/25
Simplify (-4*((-5*(sqrt(1900) - 2*sqrt(1900)) - (1*sqrt(1900) + -3)) + 0 + 3 + sqrt(1900)*1 + 2))**2.
12800*sqrt(19) + 761024
Simplify (6*(sqrt(750)*2 + sqrt(750) + sqrt(90)/sqrt(3)*-2))/((5*sqrt(100)*2 + sqrt(100))/(sqrt(810)*-2)).
-1404*sqrt(3)/11
Simplify 4 + ((sqrt(70) - sqrt(70)*-3)*-6)/(-2*sqrt(90)) + (sqrt(700)*-1*-2*-2)**2.
4*sqrt(7) + 11204
Simplify (-2*(-5*sqrt(170)*2 - ((sqrt(170) + sqrt(170)*-2 - sqrt(170))*-4 - sqrt(170))))/((sqrt(1000) - -1*(sqrt(1000) + 2*sqrt(1000) - sqrt(1000)))*-2).
-17*sqrt(17)/30
Simplify (5*(sqrt(1944) - 5*sqrt(1944)*2))/((sqrt(588) + 5*2*sqrt(588) + sqrt(588))*-2).
135*sqrt(2)/56
Simplify (0 + (sqrt(245) - sqrt(5)))**2 + (sqrt(360)/sqrt(8))/sqrt(9) - ((sqrt(405) + 0 + sqrt(405))*1)**2*3.
-4680 + sqrt(5)
Simplify 3 + ((sqrt(768) + 2)*-5 - sqrt(768)*-3*-4)**2 + -1.
5440*sqrt(3) + 222054
Simplify ((2 + (sqrt(180) - (-5 + sqrt(180) + 2))*2 + (-1*sqrt(180) + 2 - (-1*sqrt(180) + 4)))*1)**2.
36
Simplify (3 + (sqrt(104)/sqrt(2))/sqrt(4) + -1 + sqrt(468))**2 + (2 + sqrt(1053))*6 + 2*sqrt(1053) + 4 + -4.
100*sqrt(13) + 653
Simplify (sqrt(396)/(sqrt(12) + sqrt(108)) - (sqrt(33) + sqrt(528))*5)/(sqrt(225)/sqrt(3) + (sqrt(3) - sqrt(24)/sqrt(200))).
-495*sqrt(11)/116
Simplify (-2*sqrt(88)/(sqrt(2) - 2*sqrt(162)))/(1*-2*sqrt(72)/sqrt(2)).
-sqrt(11)/51
Simplify (sqrt(1100) + 2 + -1)**2*-1 + -1 + (-2*sqrt(1100) + -5 - (sqrt(1100) + (sqrt(1100) - sqrt(1100)*-3)**2 + -2)).
-18705 - 50*sqrt(11)
Simplify (6*((-4*sqrt(1216) - sqrt(1216)) + -4 + (sqrt(1216) - (sqrt(1216) - (sqrt(1216) + 2*sqrt(1216) + sqrt(1216)))) + -3 + 1) + -5)**2.
3936*sqrt(19) + 45457
Simplify 3*(-4 + (-6*(sqrt(108) + 0 + -5))**2 + ((-6*-2*sqrt(108))**2 - (sqrt(108) - (sqrt(108) + -1*sqrt(108) + -3)))).
-6498*sqrt(3) + 60999
Simplify (1*(3 + 6*sqrt(112)*1 + (1 + sqrt(112) + 0 - (2*-3*sqrt(112) - sqrt(112)))))**2*-4.
-87872 - 1792*sqrt(7)
Simplify (sqrt(1584) - (sqrt(1584) + (sqrt(1584) + 2)*3))**2 + sqrt(1584) + ((-3 + sqrt(1584))*-6)**2 - ((3 + sqrt(539))*-2 + 2*(sqrt(539) + sqrt(539) + -1)).
-2162*sqrt(11) + 71648
Simplify (sqrt(80)*-2*4 + sqrt(80))/(3*(sqrt(10) - (sqrt(10) - (4*sqrt(10) + sqrt(10))))) + 3.
-14*sqrt(2)/15 + 3
Simplify 1 + (-1*sqrt(272)*-4 + -2*((sqrt(272) - 2*sqrt(272)) + sqrt(272)) + -4 - (1 + (1 + (sqrt(272) - sqrt(272)*1 - sqrt(272) - sqrt(272)))*6))**2.
-1408*sqrt(17) + 69754
Simplify (3*(sqrt(180)*2 + sqrt(180))/sqrt(3)*-3)/(-2*sqrt(12)*5 + sqrt(36)/(sqrt(3)*3)).
81*sqrt(5)/29
Simplify (-4 + -4 + (sqrt(125) - (sqrt(125) + sqrt(125) + -1)) + (sqrt(125) + 0)*-5 - (1 + sqrt(35)/(sqrt(1008)*2) + -1))**2.
5047*sqrt(5)/12 + 2627429/576
Simplify -1 + (1*-2*(sqrt(147)/(sqrt(42)/sqrt(96)))/((sqrt(30) - sqrt(1920)*-2)/sqrt(10)))**2*-5.
-2529/289
Simplify -5*(4 + -3 + -3*(sqrt(468) + 1 + sqrt(468) + -1)*2)**2*5.
-1684825 + 3600*sqrt(13)
Simplify -4 + (-4*(sqrt(4050)*-2 - sqrt(4050)))**2 + 2 + -1 + sqrt(4050) + -2*sqrt(4050) + -5.
-45*sqrt(2) + 583192
Simplify 1 + ((1*sqrt(104)*2)/(-3*sqrt(128)) - (-2 + 1 + sqrt(1872) + sqrt(1872) + -2)).
-145*sqrt(13)/6 + 4
Simplify 3*(-5 + 4*(5*(sqrt(2299) + (sqrt(2299) - (sqrt(2299)*3 + sqrt(2299)))) - sqrt(2299))*-1)**2 + -2.
-14520*sqrt(19) + 13352665
Simplify ((sqrt(216)/sqrt(96))/(sqrt(96)/sqrt(2)))**2 + sqrt(9)/(sqrt(27)/sqrt(9)) + -3*(-2 + sqrt(3)).
-2*sqrt(3) + 387/64
Simplify ((sqrt(220)*-3)/sqrt(4) + 1*sqrt(2695))/(((sqrt(220) - (sqrt(220)*1 - sqrt(220)) - sqrt(220)) + sqrt(55))/(sqrt(44)/(sqrt(4) - sqrt(36)))) + 0.
-2*sqrt(11)
Simplify (-6*-1*(-6*3*(sqrt(128) + -2 + sqrt(128) + sqrt(128)) - ((sqrt(128) + 3)*2 + -5)))**2.
-1128960*sqrt(2) + 14494788
Simplify (-3 + sqrt(17)*-1 - (sqrt(17)*1 + -4)) + 1 - (3 + (sqrt(1088) + 0 + 1)**2).
-1090 - 18*sqrt(17)
Simplify ((2*sqrt(190)*-2 - sqrt(190) - sqrt(190) - (sqrt(190) + (sqrt(190)*1 - sqrt(190))*-1))*6)/((1*sqrt(280)*-6)/sqrt(7)).
7*sqrt(19)/2
Simplify (sqrt(396) + 2*(sqrt(396) + 0) + -4*(sqrt(396) + 0 - sqrt(396)))**2 - (-2 + sqrt(396)*3*4 + -1)**2.
-53469 + 432*sqrt(11)
Simplify -1 + (-1 + (1*sqrt(704))**2 + sqrt(704) + 5 - (0 + (-3 + sqrt(176))*-2)).
16*sqrt(11) + 701
Simplify ((1 + sqrt(2450))*2 + 0 + -3*(4 + (sqrt(2450)*-2 - sqrt(2450)) - sqrt(2450)))**2.
-9800*sqrt(2) + 480300
Simplify 5*(((sqrt(75) - 1*sqrt(75))*2 - (-1 + sqrt(75) + -2)) + sqrt(24)/(sqrt(2) - sqrt(8) - sqrt(2)) + 1)**2.
-240*sqrt(3) + 620
Simplify (((sqrt(686) - 2*sqrt(686)*6) + 4*(sqrt(686)*1 + sqrt(686)))/(2*sqrt(567)*-2*3))**2.
49/648
Simplify ((sqrt(315) - -5*(sqrt(315) - (5*sqrt(315) + sqrt(315))) - sqrt(315))/(1*sqrt(540)/sqrt(12)))**2.
4375
Simplify (3 + -2*sqrt(80))*-1 + (5*-6*-2*sqrt(5)*6)**2.
8*sqrt(5) + 647997
Simplify 2 + (1*(sqrt(700)*2)**2 - (1 + (sqrt(700) - (3 + sqrt(700))))**2) + -1 + 1.
2798
Simplify (-3 + 3*(1 + sqrt(832))*-4)**2 + -2*sqrt(832)*-2 + (1 + -5 + sqrt(832))**2.
2848*sqrt(13) + 120881
Simplify (5 + 6*sqrt(153)*1 + (sqrt(153) - (-1 + sqrt(153))*5 - (sqrt(153) + (sqrt(153)*-1 - sqrt(153))*5)) - (-4 + 3*(5 + 2 + sqrt(153) + 2*sqrt(153))))**2.
-84*sqrt(17) + 661
Simplify (((sqrt(117)*-2)/sqrt(9) - (sqrt(637) - sqrt(637)*2))**2 - -4*1*sqrt(1300)*1) + -1.
40*sqrt(13) + 324
Simplify 2*(sqrt(36)/(sqrt(36)/sqrt(3)) + 1) - (2 + sqrt(363) - -5*sqrt(24)/sqrt(8)).
-14*sqrt(3)
Simplify (5 + -5 + -1 + -2*(sqrt(3) - 1*sqrt(3)))**2 + ((sqrt(3) - -2*sqrt(363) - (sqrt(3) + 0)*6)**2 + 5)*-5.
-4359
Simplify (-3*2*(2*(sqrt(256) + sqrt(256)*-1) - sqrt(256)))/((2*sqrt(96)*4)/(sqrt(12) + sqrt(48)/sqrt(4)*2)).
9*sqrt(2)
Simplify -1*-5*((sqrt(320)*-2 + -5)*1 - -2*(-1*sqrt(320) + 5))**2.
-1600*sqrt(5) + 25725
Simplify 2*(2*1*sqrt(1715))/((sqrt(63) + (sqrt(63) + 2*sqrt(63) - sqrt(63)))/sqrt(9)*4).
7*sqrt(5)/3
Simplify (sqrt(1275) - -1*sqrt(1275) - sqrt(1275) - (sqrt(1275) + (sqrt(1275) - -2*sqrt(1275)) - sqrt(1275)))/((sqrt(3) - sqrt(15)/sqrt(5)*3) + 1*sqrt(48)).
-5*sqrt(17)
Simplify (sqrt(12)/(sqrt(64)/sqrt(8))*-4)/((sqrt(108)/(sqrt(12)/sqrt(3)))/(sqrt(99)/sqrt(44))).
-sqrt(2)
Simplify 5*(-1 + ((-3*sqrt(891) + 5)**2 - sqrt(891)) - ((sqrt(891)
|
{
"pile_set_name": "DM Mathematics"
}
|
common denominator of -29/1736 and -29/645296?
4517072
What is the smallest common multiple of 716960 and 53772?
2150880
What is the least common multiple of 16944 and 19062?
152496
What is the lowest common multiple of 121845 and 194952?
974760
What is the lowest common multiple of 3384 and 83472?
250416
Calculate the lowest common multiple of 158144 and 11296.
158144
Calculate the smallest common multiple of 2176 and 170.
10880
Find the common denominator of -53/277512 and 51/44.
3052632
Calculate the common denominator of 119/6204 and 109/4620.
217140
Find the common denominator of -127/18326 and 113/3978.
2144142
Calculate the common denominator of 18/23765 and 79/315735.
2210145
What is the common denominator of -37/22 and -24/20647?
41294
Calculate the least common multiple of 20700 and 1350.
62100
Calculate the smallest common multiple of 53820 and 269100.
269100
Calculate the lowest common multiple of 40300 and 2015.
40300
What is the least common multiple of 16 and 58648?
117296
What is the lowest common multiple of 12000 and 468?
468000
Find the common denominator of 7/207 and 113/12.
828
Calculate the lowest common multiple of 9945 and 29835.
29835
What is the common denominator of 143/348 and -3/3596?
10788
What is the common denominator of 139/12 and -13/10?
60
What is the smallest common multiple of 7 and 249770?
1748390
Calculate the common denominator of 24/38533 and 143/21018.
231198
Find the common denominator of -53/23506 and 101/18032.
1316336
What is the smallest common multiple of 21 and 2409?
16863
Calculate the common denominator of -137/17676 and -43/39771.
159084
Find the common denominator of -179/39540 and 91/30.
39540
Calculate the smallest common multiple of 262912 and 598.
6046976
What is the least common multiple of 119979 and 746536?
6718824
Find the common denominator of 11/48 and 3/2488.
14928
Calculate the common denominator of 39/6265 and -83/56385.
56385
Calculate the least common multiple of 70 and 485660.
485660
What is the common denominator of 10/33 and 25/19317?
212487
Calculate the common denominator of 52/77 and 25/10659.
74613
Calculate the smallest common multiple of 4600 and 528.
303600
Calculate the common denominator of 119/36594 and -46/6099.
36594
Calculate the lowest common multiple of 28077 and 18718.
56154
What is the common denominator of -17/1168146 and 31/13797?
3504438
Find the common denominator of -11/3843 and 109/25620.
76860
What is the least common multiple of 24472 and 207?
220248
What is the lowest common multiple of 6 and 24117?
48234
Find the common denominator of 32/29 and -5/4527.
131283
What is the smallest common multiple of 11232 and 36?
11232
Find the common denominator of -107/13866 and -47/12.
27732
What is the common denominator of 109/5637918 and 97/2?
5637918
What is the lowest common multiple of 42285 and 1?
42285
Calculate the lowest common multiple of 42 and 11550.
11550
What is the common denominator of 91/1880 and 29/142175?
1137400
Calculate the common denominator of -143/1022430 and -23/11820.
2044860
Find the common denominator of 157/6000 and 57/200.
6000
What is the lowest common multiple of 25179 and 33?
25179
Find the common denominator of -41/313 and 37/4069.
4069
Find the common denominator of -21/5035 and 123/1670.
1681690
Find the common denominator of 103/907348 and 121/10.
4536740
What is the lowest common multiple of 35397 and 1710?
353970
What is the common denominator of 6/12169 and -99/182?
2214758
What is the least common multiple of 7047 and 378?
98658
Calculate the common denominator of 127/354 and 25/54.
3186
Find the common denominator of 101/18270 and 11/45.
18270
Calculate the smallest common multiple of 60870 and 30435.
60870
Calculate the common denominator of -69/536 and -37/31356.
62712
What is the common denominator of -47/15239 and -13/30478?
30478
Calculate the lowest common multiple of 6800 and 81600.
81600
What is the smallest common multiple of 1030 and 6?
3090
Calculate the common denominator of 83/72 and -83/77406.
928872
What is the common denominator of 69/170 and 79/14790?
14790
Calculate the least common multiple of 3204 and 442.
708084
Calculate the lowest common multiple of 195721 and 174.
1174326
Calculate the least common multiple of 19010 and 16.
152080
Find the common denominator of 43/1474 and 65/1104.
813648
Calculate the common denominator of 29/1672719 and -74/33.
18399909
Find the common denominator of 17/8 and -33/116894.
467576
What is the common denominator of 18/5 and -6/846275?
846275
Find the common denominator of 79/37540 and 32/103235.
412940
What is the least common multiple of 18 and 537681?
3226086
Find the common denominator of -59/1240 and 143/90.
11160
Find the common denominator of -85/106864 and 73/704.
4702016
What is the smallest common multiple of 1192 and 116518?
466072
Find the common denominator of 23/14535 and 43/31977.
159885
Calculate the lowest common multiple of 6534 and 30.
32670
Calculate the smallest common multiple of 797241 and 42.
11161374
Calculate the least common multiple of 70007 and 219.
210021
Calculate the common denominator of -49/428860 and -67/1312.
3430880
Calculate the common denominator of 51/44161 and -33/316.
176644
Calculate the smallest common multiple of 2670 and 10.
2670
Calculate the smallest common multiple of 18 and 22926.
68778
Calculate the lowest common multiple of 2144 and 50.
53600
Find the common denominator of 43/601 and -38/821.
493421
What is the common denominator of 125/25428 and -33/260?
127140
Calculate the smallest common multiple of 32 and 902772.
7222176
Find the common denominator of 57/204328 and 25/76623.
612984
What is the lowest common multiple of 6036 and 51306?
102612
What is the least common multiple of 72 and 21069?
168552
What is the least common multiple of 5005 and 165165?
165165
What is the least common multiple of 1808390 and 8?
7233560
What is the least common multiple of 59832 and 738?
2453112
Calculate the smallest common multiple of 1036 and 164.
42476
What is the least common multiple of 24850 and 3500?
248500
What is the smallest common multiple of 546 and 160?
43680
What is the least common multiple of 2515 and 2012?
10060
Calculate the least common multiple of 329104 and 4.
329104
Calculate the smallest common multiple of 27639 and 5229.
193473
Find the common denominator of -69/20 and 55/28044.
140220
Calculate the least common multiple of 914 and 49356.
49356
Find the common denominator of 151/378 and 29/1267.
68418
Find the common denominator of 51/19679 and -10/84083.
924913
Calculate the least common multiple of 197757 and 5037.
4548411
What is the lowest common multiple of 8 and 2087?
16696
Calculate the lowest common multiple of 317560 and 833595.
6668760
What is the common denominator of 43/328168 and 47/2794?
3609848
Calculate the common denominator of 64/507423 and 80/21.
507423
Calculate the least common multiple of 3840 and 8320.
49920
Calculate the smallest common multiple of 12 and 61755.
247020
What is the least common multiple of 2842 and 42?
8526
What is the least common multiple of 18162 and 90810?
90810
What is the smallest common multiple of 16320 and 480?
16320
What is the lowest common multiple of 3198 and 656656?
1969968
Calculate the common denominator of 53/12 and -21/4537.
54444
Find the common denominator of -64/65 and -3/58870.
765310
Calculate the common denominator of 59/130208 and 43/24414.
390624
What is the smallest common multiple of 350 and 6440?
32200
What is the common denominator of 9/1814 and -97/18140?
18140
What is the smallest common multiple of 20592 and 264?
20592
Calculate the least common multiple of 486 and 270.
2430
What is the common denominator of 73/61623 and -11/7515?
308115
Calculate the smallest common multiple of 14 and 40222.
40222
Find the common denominator of 59/25440 and 43/360.
76320
Calculate the lowest common multiple of 33972 and 14.
237804
Calculate the common denominator of -77/524 and 173/1123980.
1123980
What is the smallest common multiple of 10858 and 38003?
76006
What is the smallest common multiple of 54 and 5850?
17550
Calculate the common denominator of -67/149016 and 31/24.
149016
What is the least common multiple of 30240 and 34020?
272160
|
{
"pile_set_name": "DM Mathematics"
}
|
36. Suppose 51803 = v*w - 20197. Let l be (8/10)/(8/w). Round l to the nearest one thousand.
1000
Let s = -0.444 + -0.086. Let y = s + 0.404. What is y rounded to two decimal places?
-0.13
Let q = -5.27 + 4.76. Round q to the nearest integer.
-1
Let p = -19.7 - -18. Let j = p - -1.662. What is j rounded to 2 dps?
-0.04
Let j = -2.12 - -2.1222. What is j rounded to 3 dps?
0.002
Let l = -8069 - -7939.29. Round l to the nearest 10.
-130
Let n = 20 + -9. Suppose -n*h - 6308919 - 7331081 = 0. What is h rounded to the nearest one hundred thousand?
-1200000
Let k = -641626 - 467374. What is k rounded to the nearest 1000000?
-1000000
Let y = -2151.995451 - -2152. Round y to four dps.
0.0045
Let w = -41.56284 - -96.56366. Let t = w + -55. What is t rounded to four dps?
0.0008
Let z = 12328.724 - 12268. Let b = -1.176 - z. Round b to the nearest ten.
-60
Let k = -4 - -7. Let p be (3 - 1 - k) + 420. Suppose -q + 5*l - p = -3*q, -3*q - 3*l = -615. What is q rounded to the nearest 10?
200
Let i = 24 - 23. Let y be i + 1841 - (-11)/((-11)/2). What is y rounded to the nearest 100?
1800
Let w be (441/18)/7*(-8760)/(-3). Round w to the nearest 100.
10200
Let o = 199.2 - 179. Let i = 24.35 - o. What is i rounded to one decimal place?
4.2
Let r = 114.614 + -114.560021. Let m = r + -0.054. Round m to five dps.
-0.00002
Let b = -1110.1 - -1201. Round b to the nearest integer.
91
Let w(u) = -u**3 + 9*u**2 - 4*u - 7. Let g be w(6). Let o be (-14)/g - 87322/(-22). Let h = o + 31. What is h rounded to the nearest 1000?
4000
Let i = 0.1594 - 0.159414275. What is i rounded to six decimal places?
-0.000014
Let m = 0.061 + -0.299. Let f = 899.062 + -917.4. Let z = f - m. Round z to the nearest integer.
-18
Let a = -350.531 - 0.469. Let o = 383.2 + a. Round o to the nearest integer.
32
Let v be -4 + 4 - (1 - 1318). Suppose y + 1713 = -v. What is y rounded to the nearest 100?
-3000
Let j = 0.47 - 0.470075. What is j rounded to 5 decimal places?
-0.00008
Let p = 20806070896.99999929 + -20806071004. Let k = p - -107. Round k to seven dps.
-0.0000007
Let b = -0.432 + 0.169. Let q = 0.262893 + b. What is q rounded to five decimal places?
-0.00011
Let v = 0.073 + -0.070592. What is v rounded to 4 decimal places?
0.0024
Let z be (-12)/(-5)*(-33 - 8)*175. What is z rounded to the nearest one thousand?
-17000
Let j = 0.037 + -0.03657. Round j to five dps.
0.00043
Let l = 12911090358.980009 + -12911097646. Let v = l + 7286.9. Let g = 0.12 + v. What is g rounded to six decimal places?
0.000009
Let x(c) = 408678*c + 254. Let a be x(7). Round a to the nearest 10000.
2860000
Let j(x) = 3*x**3 - 3*x**2 - 3*x - 3. Let g be j(5). Let k(z) = 371 - 2*z - 263 + g. Let u be k(0). Round u to the nearest one hundred.
400
Let h(k) = 5519*k + 20. Let b(c) = 8279*c + 30. Let v(f) = 5*b(f) - 7*h(f). Let d be v(-5). What is d rounded to the nearest 1000?
-14000
Let w = -8763626 - 14916374. Round w to the nearest one million.
-24000000
Let h = 0.710095 - 0.71. What is h rounded to 5 decimal places?
0.0001
Let a = -1483 + 1482.999998565. What is a rounded to 6 decimal places?
-0.000001
Let c = -0.13 - -19.13. Let z = -33419.4969 - -33400.5. Let l = c + z. Round l to three decimal places.
0.003
Let x = -85484015.69999967 - -85484005.7. Let u = -2 + 12. Let z = u + x. Round z to 7 dps.
0.0000003
Let r = -98.74912 - -98.6. Let k = 3.2 + -3.35. Let o = k - r. What is o rounded to four dps?
-0.0009
Suppose -8*v = -13*v - 35. Let m = 1 + v. Let j = m + 5. Round j to the nearest 10.
0
Let m = 167 - 355. Let y = m - -264. Let h = y - 76.000043. What is h rounded to five dps?
-0.00004
Suppose -10 = -f + 3. Let y = f + -9. Suppose -5*h - 3*b + 3199988 = b, y*b = 2*h - 1280012. Round h to the nearest 100000.
600000
Let j = 0.899 - 0.315. Round j to two dps.
0.58
Let i = 1.7 + -2. Let b = i - -0.17. Let k = -0.12998 - b. What is k rounded to four dps?
0
Let i = 1.900000937 - 1.9. What is i rounded to seven decimal places?
0.0000009
Let z = -0.07 - 0.43. Let h = z + 0.49999982. Round h to 7 dps.
-0.0000002
Let u = 138.466 - -1736.55. Let c = u - 1862. Let k = -13 + c. What is k rounded to 3 decimal places?
0.016
Let d = -52.99506 + 53. What is d rounded to 3 dps?
0.005
Let q be -180*(-420 - -2 - -8). Round q to the nearest 100000.
100000
Let i be 18320*(-9)/((-72)/40). What is i rounded to the nearest ten thousand?
90000
Let w = 0.2383 - 0.237. What is w rounded to 3 decimal places?
0.001
Suppose -3*h + 23800 = -2*h. What is h rounded to the nearest 10000?
20000
Let w = -0.046 + 0.016. Let y = -4.5665 - 0.1035. Let q = w + y. Round q to 0 dps.
-5
Let v = 0.18688 + -0.536926. Let f = 0.35 + v. Round f to 5 decimal places.
-0.00005
Suppose -4*a + 0 = -8. Suppose a*d = 5*d - 12. Let l be (2 + d)*3000/9. What is l rounded to the nearest ten thousand?
0
Let b(v) = -6800000*v**3 + v**2 - v. Let d(y) = -y + 12. Let l be d(11). Let w be b(l). What is w rounded to the nearest 1000000?
-7000000
Let x = 26.10000504 + -26.1. What is x rounded to 6 dps?
0.000005
Let t be 1*(26 + (3 - 5)). Suppose 3*w = -u + 4 + 2, -t = -4*u - 5*w. Let h = u + 7. What is h rounded to zero dps?
13
Let x = 212.9526 - 213. Round x to three dps.
-0.047
Let q = -13.29 + 13. Let s = -0.289939 - q. Round s to five dps.
0.00006
Let j = 136.8155 + 0.2845. Round j to the nearest 10.
140
Let b be -2 + (9/3 - -3). Suppose -j - b*j + 9999990 = v, 0 = 2*v - j - 20000002. Round v to the nearest one million.
10000000
Let m = 428.82 + -433.6294. Let s = 4.8 + m. Round s to 3 decimal places.
-0.009
Let l be 30/12*2 - (-800995)/1. Round l to the nearest 100000.
800000
Let y = 11 + -9. Suppose 6*r - 12 = y*r, 3*s - 4*r = 97230. Suppose -4*p - s - 11586 = 0. What is p rounded to the nearest 10000?
-10000
Let q = 97.49 - -0.51. Let w = -98.00101 + q. What is w rounded to four dps?
-0.001
Let g = 0.05540571 - 20810.60340571. Let t = g - -21224.548179. Let m = -414 + t. Round m to 5 decimal places.
0.00018
Suppose -9*r + 456 = 15*r. Let b be 43 - 1/(-2)*-2. Let p = r - b. Round p to the nearest ten.
-20
Let h = -251.6994746 - -251.7. Round h to five dps.
0.00053
Let z(a) = 11530001*a**2 + 2*a - 3. Let b be z(1). Round b to the nearest 1000000.
12000000
Let s be (-1 + 4)/(15/(-157700)). What is s rounded to the nearest one thousand?
-32000
Suppose -3*n + 11 = -46. Suppose s + 2*x - 1 = 0, 5*s - 3*x - x = n. Let p be -11098 - (-1 - s - -6). Round p to the nearest one thousand.
-11000
Let h = -7 - -6.81. Let x = 0.19000064 + h. Round x to seven dps.
0.0000006
Let f(n) be the third derivative of n**5/30 + n**4/24 - 2*n**3/3 - n**2. Suppose -21 = -6*y + 13*y. Let t be f(y). What is t rounded to the nearest 10?
10
Let a = -0.297 + 0.29768. Round a to 4 dps.
0.0007
Let j = 18 - 12. Suppose -f - x + 20500020 = -j*x, 2*f = -3*x + 40999988. Round f to the nearest one million.
21000000
Let n = -187 - -402. Let w = -215.0000151 + n. Round w to 6 decimal places.
-0.000015
Let f = -88 + 88.0000885. Round f to 5 decimal places.
0.00009
Let f = -483888 + 807161. Let y = f + -95258. Suppose -3*c - 2*c = 5*h - 1140025, -h = 3*c - y. What is h rounded to the nearest 10000?
230000
Let q = 2702095.635263364366 + 6.222730335634. Let p = q + -2702102. Let z = p + 0.142. Round z to 6 decimal places.
-0.000006
Let v = 22745528.39000046 - 22745528. Let o = 54 + -54.39. Let k = v + o. What is k rounded to 7 dps?
0.0000005
Let n = 5.188 - 5.213148. Let l = n - -0.025. What is l rounded to 5 decimal places?
-0.00015
Let m = 1.77 - 1.405. Let q = m + -0.3. Let z = q - 0.06626. Round z to four decimal places.
-0.0013
Suppose -16000025 = 5*o + 5*n, -2*n - 12800010 = 10*o - 6*o. What is o rounded to the nearest 1000000?
-3000000
Suppose 0 = -3*b - 38 + 224. Let i(y) = -3*y + 18. Let m be i(5). Suppose -24 = p - 3*l, -m*p + l - b = 2*l. Round p to the nearest ten.
-20
Let a = 0.028 - 0. Let f = 0.036 - a. Round f to 3 dps.
0.008
Let g = -157 - -79. Let x = -77.999918 - g. What is x rounded to five decimal places?
0.00008
Let t = 1448.997402 - 1449. Round t to three dps.
-0.003
Let p(j) = -j**2 - 10*j - 9. Let w be p(-8). Let q(l) = 106998*l**3 - 7*l**2 + 5*l - 6. Let z be q(w). What is z rounded to the nearest one million?
37000000
Suppose -u + 6*u - 8 = t, 5*u = -5*t + 20. Suppose -986 - 1374 = u
|
{
"pile_set_name": "DM Mathematics"
}
|
5/270662006
Calculate 459162942 divided by -153054314.
-3
Calculate 155757840 divided by 3045.
51152
-138684572 divided by -18668
7429
-4424572 divided by -146
2212286/73
What is 116 divided by -1688360?
-29/422090
-1758 divided by 99348
-293/16558
Calculate -56780834 divided by -56780834.
1
Calculate -5127960 divided by 42733.
-120
What is 9414874 divided by 35798?
263
-8478770 divided by 8741
-970
Divide -9268 by -2188.
2317/547
Divide -33350460 by -780.
42757
What is -310955 divided by -5099?
310955/5099
Divide 298645904 by 2.
149322952
What is 5261 divided by 2852?
5261/2852
1783364 divided by 22
81062
-12249086 divided by -6124543
2
Divide -1495 by -50657.
1495/50657
What is -4 divided by -2154899?
4/2154899
Divide -37 by 29148.
-37/29148
Calculate -854496 divided by -8.
106812
Calculate 5873583 divided by -47.
-5873583/47
Divide 328861 by 8.
328861/8
Calculate 5 divided by -23203846.
-5/23203846
What is 10393515 divided by 5?
2078703
What is -11893 divided by 410?
-11893/410
Calculate -24428340 divided by -12.
2035695
Calculate 1 divided by -58603514.
-1/58603514
Divide 103118 by -1.
-103118
What is 9472740 divided by -139305?
-68
-512701 divided by -125
512701/125
What is -4447845 divided by 141?
-31545
What is 73 divided by -2903143?
-73/2903143
Calculate -4010 divided by -175.
802/35
Divide -2368413 by 6.
-789471/2
Divide -7442 by 5111.
-7442/5111
What is -645069 divided by 8?
-645069/8
Divide -372 by -72260.
93/18065
Divide -3118761 by -3.
1039587
Divide -23173108 by 65093.
-356
181193760 divided by 1258290
144
-541196961 divided by -3
180398987
-1591 divided by 369656
-1591/369656
536986301 divided by -10131817
-53
-553014 divided by 66
-8379
-873554 divided by 436777
-2
0 divided by -63915491
0
Divide 3160 by -195530.
-316/19553
Calculate -19110490 divided by -10.
1911049
What is -122046 divided by 22?
-61023/11
Divide 18626 by 4925.
18626/4925
Calculate -5 divided by -12578658.
5/12578658
Calculate 4 divided by -5381776.
-1/1345444
What is 426752610 divided by 6?
71125435
9820630 divided by 1
9820630
Calculate -59059628 divided by 59059628.
-1
What is 7 divided by 5979284?
7/5979284
Divide -28848687 by 1497.
-19271
Divide 6489749 by -1211.
-5359
What is 4374048 divided by -2208?
-1981
Divide -2 by 5940302.
-1/2970151
Divide -913 by -1156716.
83/105156
Calculate -87514390 divided by -17502878.
5
-147210531 divided by 39183
-3757
Calculate -16 divided by 459073.
-16/459073
Calculate 13268335 divided by 235.
56461
What is -270 divided by 406017?
-30/45113
Calculate 171195129 divided by -171195129.
-1
Calculate 943744 divided by -4.
-235936
-206658340 divided by 41331668
-5
Divide -2605099 by 1189.
-2191
18197840 divided by -2
-9098920
1006272 divided by -111808
-9
1317860 divided by -524
-2515
What is 39524940 divided by 35?
1129284
41513052 divided by -4677
-8876
Divide 131391480 by 33.
3981560
Divide 6204966 by -2.
-3102483
-36468 divided by -3557
36468/3557
What is -11336382 divided by 3778794?
-3
What is -4654700 divided by 5230?
-890
Calculate 65506260 divided by -4.
-16376565
Divide -107771 by 347.
-107771/347
-29646179 divided by 3
-29646179/3
Calculate 7 divided by 34464150.
1/4923450
-9356 divided by 2489
-9356/2489
Divide -21836638 by -542.
40289
Divide -501 by -116472.
167/38824
632 divided by -306888
-79/38361
Divide -3958048 by -5.
3958048/5
Divide -444307248 by -545832.
814
Divide -60305 by -415.
12061/83
Calculate -50754235 divided by -3.
50754235/3
Calculate 2 divided by 2832090.
1/1416045
Divide -429378204 by -6.
71563034
Calculate 1999 divided by -191492.
-1999/191492
29494284 divided by 6
4915714
Calculate 5669 divided by 32079.
5669/32079
Divide -2439223 by -2.
2439223/2
Calculate 52783130 divided by 1.
52783130
What is -28505335 divided by 1?
-28505335
Divide 11896560 by -72540.
-164
404146895 divided by -80829379
-5
What is -1601 divided by 323?
-1601/323
What is 16345963 divided by -6?
-16345963/6
Divide -20389152 by 121364.
-168
Calculate 2 divided by -224476.
-1/112238
What is -231272 divided by 253?
-231272/253
Divide -433867782 by 2.
-216933891
What is -21574224 divided by -42806?
504
Calculate 819359560 divided by 259291.
3160
Divide 13111956 by 22074.
594
15 divided by 281979
5/93993
Calculate -1517310 divided by -38.
758655/19
Divide 5 by -4497128.
-5/4497128
Divide 213 by 606385.
213/606385
-145785420 divided by -66660
2187
What is -61473825 divided by 15?
-4098255
-10665720 divided by -5512
1935
Divide 9822656 by 2.
4911328
Divide -16 by -1136296.
2/142037
Divide -159296760 by 838404.
-190
Divide 62712408 by 5701128.
11
What is 16324893 divided by 96597?
169
Calculate -172 divided by -5697.
172/5697
Divide 5910840 by 156.
37890
What is -268910056 divided by 67227514?
-4
What is 288151328 divided by 4?
72037832
Divide 6858062 by -110.
-3429031/55
280414818 divided by -93471606
-3
Calculate -6413 divided by -1610.
6413/1610
Divide 1580478 by 11.
1580478/11
Divide 17918636 by 308942.
58
-4821697 divided by 209639
-23
-17865384 divided by -4
4466346
Divide 0 by 20791821.
0
Divide -325288 by -27.
325288/27
What is -12012116 divided by -4?
3003029
Calculate 2 divided by 2252559.
2/2252559
59306 divided by -1408
-29653/704
What is -35075520 divided by 7692?
-4560
5 divided by 11633504
5/11633504
Divide -35709924 by -8927481.
4
-347347743 divided by -2
347347743/2
3404648 divided by -3446
-988
43808935 divided by -47
-932105
What is 38241782 divided by 6?
19120891/3
Divide -8 by -2999731.
8/2999731
Divide 15336745 by 6.
15336745/6
4784 divided by -1117
-4784/1117
What is 5 divided by 9712521?
5/9712521
Calculate -3 divided by 1401545.
-3/1401545
What is 461 divided by -25954?
-461/25954
What is -11334180 divided by -7926?
1430
Divide -365276689 by -6892013.
53
Calculate -104250 divided by 39.
-34750/13
Divide 15772528 by 2.
7886264
What is -13954248 divided by -158571?
88
What is -1049195 divided by 58?
-1049195/58
Calculate -54311779 divided by 54311779.
-1
6836928 divided by 2278976
3
Calculate -144745248 divided by -144745248.
1
Divide 19 by -589467.
-19/589467
3 divided by -6107620
-3/6107620
Calculate 150828439 divided by 7459.
20221
What is -3332746 divided by 72451?
-46
What is 2143 divided by -74469?
-2143/74469
Divide -381730740 by -19590.
19486
27208055 divided by 3886865
7
Divide 736 by 2431.
736/2431
-718609763 divided by 14761
-48683
214614 divided by 6
35769
3606330 divided by 277410
13
What is 0 divided by -7254?
0
Divide 42253200 by 320100.
132
Divide -84220755 by 28073585.
-3
7082115 divided by -6
-2360705/2
Calculate 9 divided by 134491.
9/134491
Calculate -4936959 divided by -548551.
9
Divide 23587203 by -3.
-7862401
-10250896 divided by -640681
16
What is 9707412 divided by -248908?
-39
Divide 20088340 by -1252.
-16045
Calculate 605085012 divided by 207.
2923116
54272256 divided by -6784032
-8
Divide -7309258 by 5027.
-1454
Divide 270798159 by 23.
11773833
Calculate -2039428 divided by 86.
-1019714/43
0 divided by -7011713
0
93893595 divided by -47783
-1965
Calculate 3782176 divided by -1448.
-2612
What is -3060 divided by 529?
-3060/529
Calculate 2559942 divided by -11.
-232722
Calculate -47189597 divided by 7241.
-6517
Divide -229176636 by -4.
57294159
Divide 3071215 by -58.
-3071215/58
Calculate -2552 divided by 10525.
-2552/10525
Calculate -17 divided by 5939210.
-17/5939210
Calculate 110193112 divided by -8.
-13774139
Divide -1653374 by -6.
826687/3
Divide -24412905 by 14751.
-1655
What is -180128 divided by 416?
-433
Calculate 664857488 divided by -166214372.
-4
What is -731392882 divided by -1?
731392882
Divide -100451272 by -2.
50225636
Divide -15201130 by -1.
15201130
Divide 18283269 by -2.
-18283269/2
What is -1318896492 divided by 4286?
-307722
Divide -1395926 by -102.
697963/51
Divide -184602594 by 8391027.
-22
What is -82475025 divided by -3?
27491675
Calculate -1181612 divided by -81.
1181612/81
Divide 37451245 by 23.
1628315
Divide -31955910 by 285.
-112126
1772924 divided by -56
-443231/14
Divide 22022976 by -1159104.
-19
Divide 324156426 by -9822922.
-33
What is -3747 divided by 330?
-1249/110
What is -235791 divided by 750?
-78597/250
Divide -1474230 by -49.
1474230/49
Divide -24731196 by 2.
-12365598
Divide -1208944683 by 3.
-402981561
Calculate 34640 divided by -53
|
{
"pile_set_name": "DM Mathematics"
}
|
d 5.
5
Let n be ((-18)/12)/(2/(-76)). Suppose -z - 2*z = -n. Calculate the highest common divisor of z and 57.
19
Let u(a) = -a + 15. Let y be u(0). What is the highest common divisor of 15 and y?
15
Let l = -4 + 4. Suppose -3*o - 12 = l, 4*o + 19 = 2*z - 57. Let m = -16 + z. What is the greatest common factor of 98 and m?
14
Suppose 0*l = -4*l + 4*s - 8, 0 = -2*s + 8. Suppose -j - a + 33 = 0, -2*j + 68 = l*a - a. What is the greatest common divisor of 7 and j?
7
Suppose 0 = 3*x - 7 - 2. Suppose -8 = -4*g, -x*g + 6*g = -3*o + 45. What is the highest common factor of 91 and o?
13
Let z be -1 + 1 - 2 - -18. Let j be (-63 - 2) + 0/2. Let l be (4/5)/((-26)/j). What is the greatest common factor of l and z?
2
Suppose -p = -11 - 22. What is the greatest common divisor of p and 3?
3
Suppose 3*l - 2*l = 13. Let h(o) = -o**2 + 10*o + 5. Let v be h(7). What is the highest common factor of l and v?
13
Let r(f) = f**3 - 17*f**2 - 12*f - 20. Let p be r(18). Calculate the greatest common factor of p and 22.
22
Let a = -19 - -60. Suppose -2*x = -5*p - a + 16, -3*p = 4*x - 63. What is the greatest common divisor of x and 5?
5
Let m = -8 - -27. Let p = m + -9. Suppose 0 = 3*g - 11 - p. Calculate the greatest common factor of 21 and g.
7
Suppose 3*p + 4*o = -4, -4*p = 5*o - o. Let u(w) = w**3 + 2*w**2 - 2*w. Let z be u(p). Calculate the highest common divisor of 22 and z.
22
Let x(d) = 2*d**3 - 3*d**2 + 9*d - 11. Let j be x(5). What is the highest common factor of j and 19?
19
Let z = 24 - 17. Suppose z = b + 2. Calculate the greatest common factor of b and 5.
5
Let s = 193 + -187. Let z(m) = -3*m - 3. Let o be z(-2). What is the greatest common factor of s and o?
3
Let g be (-15)/(-30) - (-575)/2. What is the greatest common divisor of 32 and g?
32
Suppose -2*l = 2*l - 308. Suppose 0 = 3*p - 14 - 19. Calculate the highest common divisor of p and l.
11
Let q(f) = 2*f**2 - 5*f + 8. Let o be q(-6). Let r = 7 + 3. Calculate the highest common factor of o and r.
10
Let c be ((-24)/(-7))/(1/14). What is the highest common divisor of 6 and c?
6
Let f be (-8)/6*(-675)/18. Let w = 3 - -3. Let d be w/(-2)*(-10)/3. What is the highest common factor of d and f?
10
Suppose -4 = 4*z + j - 16, -z - 2*j = -10. Suppose n = 3*i - 2*i - 25, z*n = 5*i - 128. Let w be 82/6 - 6/9. Calculate the greatest common divisor of i and w.
13
Suppose -2*p - 5*h = -16, 0*p + 32 = 4*p + h. Calculate the highest common divisor of 8 and p.
8
Suppose y - 65 = -5*q, 5*q - 50 = y + 15. Let p = -1 - -8. Let s be 184/p - (-2)/(-7). Calculate the highest common divisor of s and q.
13
Suppose 4*h - 27 - 5 = 0. What is the greatest common factor of 1 and h?
1
Let k = -21 - -18. Let q = 6 + k. What is the highest common divisor of q and 9?
3
Suppose 0 = 4*b - b. Suppose 0 = 3*c + 4*r + 161, -5*c - 2*r + 0*r - 273 = b. Let x = c + 94. Calculate the greatest common divisor of 26 and x.
13
Let m be -1 - 2 - (-82)/2. What is the greatest common divisor of 95 and m?
19
Let a = 34 + -52. Let g = a - -33. Let s = 13 - 7. What is the highest common divisor of g and s?
3
Let n be (-50)/(-18) - 8/(-36). Suppose -5*b - n*l + 305 = l, -2*b = 4*l - 110. What is the greatest common divisor of b and 26?
13
Let r(b) = b**2 - 3*b + 2. Let m be r(2). Suppose 3*x - 83 - 202 = m. Calculate the highest common divisor of x and 38.
19
Let t(q) = -2*q**3 - 3*q**2. Let s be t(-2). Suppose -2 = f - 6*f - s*x, 4*x = -4*f. Let o = 6 + f. What is the highest common divisor of 16 and o?
8
Let j be (-6)/(1/((-2)/3)). Suppose 158 = j*v + 46. Let s be (-47)/(-7) + 4/14. What is the greatest common factor of v and s?
7
Suppose 2*w - 5*a - 31 = 0, 0 = w - a - 3 - 11. Calculate the greatest common divisor of w and 143.
13
Let p be (-3)/(-2)*132/9. Let i = -8 + p. Suppose 0 = -3*d - 2 + i. Calculate the greatest common factor of d and 8.
4
Let r(y) = -y**2 - 10*y - 3. Let u be r(-3). What is the greatest common factor of 30 and u?
6
Let v be (1 - 2)*(7 + -8). Calculate the greatest common divisor of 2 and v.
1
Suppose 23 = 2*d + 3*j, -j - 63 = -2*d + 4*j. Let z = -100 + 31. Let b = z + 126. What is the greatest common divisor of b and d?
19
Suppose -36 + 9 = -3*a. Let d be (-2 - 1) + -2 + 1. Let h be ((-3)/(-2))/((-2)/d). What is the highest common factor of h and a?
3
Let g = -9 - -29. Calculate the greatest common divisor of 8 and g.
4
Let d = -5 - 0. Let c(q) = 2*q + 12. Let f be c(d). Calculate the highest common factor of f and 1.
1
Let g be (12/(-7))/((-1)/7). Let r = 0 + 18. Calculate the greatest common factor of r and g.
6
Let h be (-24)/(-2)*(-1)/(-2). Suppose 0 = -5*x + 25, -h*w + 4*x = -w - 80. What is the highest common divisor of 50 and w?
10
Let s be 0/(-6 - -1) - (-1 - 99). What is the greatest common divisor of s and 50?
50
Let q = -19 + 26. Let u(f) = 4*f - 6. Let j be u(q). Let n be 114/10 + 4/(-10). What is the greatest common divisor of n and j?
11
Let b be (-3)/6 + 86/(-4). Let f = b - -36. Let d(q) = 3*q**3 - 3*q**2 + 4*q - 6. Let w be d(4). What is the highest common factor of f and w?
14
Suppose -7*m + 45 = -39. What is the greatest common divisor of m and 18?
6
Let v(p) = p**3 - 5*p**2 + 3*p - 19. Let n be v(6). Calculate the greatest common divisor of n and 5.
5
Let i(v) = 11*v - 14. Let a be i(10). Let b(c) = c**2 - 6*c - 4. Let r be b(8). What is the greatest common divisor of a and r?
12
Let d be 21 + (3 - -3) + -2 + -1. Calculate the greatest common divisor of 6 and d.
6
Let l be (-56)/(-2)*(-18)/(-8). Suppose -5*j = -l - 87. What is the highest common divisor of 10 and j?
10
Let v(c) = 7*c + 3. Let z be v(11). Let o = 4 - -6. Calculate the greatest common divisor of o and z.
10
Let g be 32 - (-2 - (-5 + 0)). Let j = -16 + g. What is the highest common divisor of 78 and j?
13
Let r = 4 + 3. Suppose -5*y - 2*o + 28 = -y, 2*o + r = 3*y. What is the highest common divisor of 25 and y?
5
Suppose 0*k - 6 = -j - 5*k, -5*j + 4*k + 59 = 0. Let x(d) = 35*d - 6. Let a be x(3). Calculate the highest common divisor of j and a.
11
Suppose 0 = 2*n - 5*k - 62, -k + 102 = 2*n + 2*n. Let w = -16 + n. Calculate the greatest common factor of 90 and w.
10
Let g(i) = -i**2 - 11*i - 5. Let x = -6 + -1. Let v be g(x). Let y be (3 + 51/6)*8. What is the greatest common divisor of v and y?
23
Let z be 7*(-6)/((-6)/23). Suppose 37 + 9 = 2*v - 5*b, -3*v - 4*b + 69 = 0. Calculate the greatest common factor of v and z.
23
Let n be -3*(-3)/12*-12. Let q = -4 - n. What is the highest common divisor of 45 and q?
5
Suppose -5*t + 27 = i, 5*t - 63 = -3*i - i. Let m be 3/12 - (-45)/i. Let o be 15/(-1 - (-15)/6). What is the greatest common factor of m and o?
2
Suppose -4*h - 14 - 22 = 0. Let j be ((-162)/(-4))/(h/(-18)). What is the greatest common divisor of 9 and j?
9
Let f = -72 - -102. What is the highest common factor of f and 15?
15
Let t be (-128)/80*(1 - 21). Calculate the greatest common divisor of 8 and t.
8
Suppose u + 4*u - 20 = 0. Suppose u*l - 64 = -0*l. Suppose -g - 3*g = -l. What is the greatest common divisor of g and 12?
4
Let r(y) = y**2 - 5*y + 9. Let g be r(6). Let p be 81/g + 2/(-5). Calculate the greatest common divisor of 55 and p.
5
Suppose -5*o + 14 = -2*o + 5*w, -5*w = -o - 2. What is the highest common factor of 3 and o?
3
Let x(o) = o**3 + 10*o**2 + 2*o. Let i be x(-6). Calculate the greatest common divisor of i and 12.
12
Let s(t) = t**3 - t**2 - t - 50. Let d be s(0). Let x be (-34)/(-5) - 10/d. What is the highest common factor of 49 and x?
7
Let b = 201 - 116. Let d = 20 + b. What is the highest common factor of d and 15?
15
Suppose -27 = u - 3. Suppose -3*t + 20 = -2*g - 3, -3*g - 22 = -2*t. Let k be g*-2*(-45)/u. Calculate the greatest common factor of k and 3.
3
Let j(b) = b**3 - 11*b**2 + b - 5. Let c be j(11). What is the greatest common factor of 54 and c?
6
Let g(l) = 6*l - 1. Let r be g(1). Let n(h) = -h**2 + 7*h - 7. Let f be n(r). Let j be (-2)/f + 88/6. What is the greatest common factor of 21 and j?
7
Let p be -18*(-3 - 5/(-2)). Calculate the greatest common factor of 72 and p.
9
Let g = 78 - 67. Calculate the greatest common factor of g and 121.
11
Let k(m) = -2*m**2 - 14*m + 1. Let a be k(-7). What is the highest common divisor of a and 14?
1
Suppose -23 - 9 = -2*o. What is the greatest common
|
{
"pile_set_name": "DM Mathematics"
}
|
) be the second derivative of 5*x**3/6 + 8*x. Let f(m) = -2*m**2. What is f(j(s))?
-50*s**2
Let h(g) = 7*g**2 + 3*g. Let q(l) = -20*l**2 - 8*l. Let f(z) = -8*h(z) - 3*q(z). Let a(t) be the second derivative of -t**3/3 + t. Calculate f(a(o)).
16*o**2
Let k(v) = -2*v**2 + 9. Let l(b) = 686*b**2. Calculate l(k(s)).
2744*s**4 - 24696*s**2 + 55566
Let r(b) = -31*b. Let n(c) = 2*c. Determine n(r(f)).
-62*f
Let s(b) = -1118*b - 1. Let w(g) = 2*g**2. Give s(w(u)).
-2236*u**2 - 1
Let p(n) = 3*n. Suppose -2*z = -3*z + h - 2, 2*z + 2*h + 12 = 0. Let c(j) = 5*j. Let v(t) = 6*t. Let w(f) = z*c(f) + 3*v(f). Determine w(p(r)).
-6*r
Let n be (-2 - 1) + (-546)/(-180). Let d(x) be the third derivative of n*x**5 + x**2 + 0*x + 0 + 0*x**3 + 0*x**4. Let b(k) = -3*k**2. Calculate b(d(r)).
-12*r**4
Suppose -n = -2*n - 3*a - 13, -5*n - 3*a - 5 = 0. Let i = -2 - -2. Let z(j) = -j**2 + i*j**n + 4*j**2. Let l(k) = -2*k. What is l(z(s))?
-6*s**2
Let h(j) = 15*j. Let n(c) = -2*c + 2. Let l(k) = -1. Let d(t) = -2*l(t) - n(t). Calculate d(h(g)).
30*g
Let n(y) = 6*y. Let r(g) = g**3 - 4*g**2 - 4*g - 3. Let m be r(5). Suppose -2*c + 0*c + 8 = 0. Let t(x) = c*x - 5*x + m*x + x. Determine n(t(p)).
12*p
Let z(p) = 1. Let q(m) = 3*m - 3. Let s(n) = q(n) + 3*z(n). Let a(b) = -1. Let v(o) = o - 5. Let w(r) = 5*a(r) - v(r). Give s(w(f)).
-3*f
Let i(q) = q. Let u(h) = -1232*h**2. Determine i(u(v)).
-1232*v**2
Let m(u) = u**2 - 3*u - 2. Let v be m(-1). Let s(c) be the third derivative of 0*c**3 + 0 - 1/60*c**5 + 0*c + 0*c**4 + c**v. Let q(n) = -n**2. What is q(s(l))?
-l**4
Let h(v) = -v**2. Let d(j) = 3*j. Let r(t) = 3*t - 1 - 1 + 0 + t**2. Let k be r(-2). Let y(l) = -l. Let u(p) = k*d(p) - 11*y(p). Calculate h(u(b)).
-b**2
Let n(o) = -o - 51. Let u(l) = l. Calculate n(u(z)).
-z - 51
Let j(a) be the first derivative of a**5/30 - a**2 + 2. Let o(f) be the second derivative of j(f). Let u(m) = 2*m. Calculate u(o(b)).
4*b**2
Let z(q) = -q**2. Suppose 3*v + 1 - 7 = 0. Let x(w) = -w**2 - 4*w**2 + v*w**2. Calculate z(x(r)).
-9*r**4
Suppose 0 = -6*k - 7 + 1. Let c(h) = h**2 + h - 1. Let t(s) = -15*s**2 - 12*s + 12. Let b(z) = k*t(z) - 12*c(z). Let u(m) = -m**2. Calculate b(u(y)).
3*y**4
Let t(p) = -8*p**2. Let u(w) = 0*w + 2*w - w. Determine t(u(y)).
-8*y**2
Let m(s) be the first derivative of 1/3*s**3 - 3 + 0*s**2 + 0*s. Let u(k) be the second derivative of k**3/2 + k. Calculate m(u(w)).
9*w**2
Let y(w) = -2*w. Let k(l) be the first derivative of l - 1/6*l**4 - 2 + 0*l**2 + 0*l**3. Let h(o) be the first derivative of k(o). Give h(y(q)).
-8*q**2
Let o(i) be the first derivative of -i**2/2 - 1. Let w be (-14)/21 - 136/(-6). Let t(a) = 22 - w - 2*a. What is o(t(b))?
2*b
Let b(q) = -208*q**2. Let z(j) = -j + 30. Determine z(b(y)).
208*y**2 + 30
Let q(n) = -n + 1 - 1 - n. Let o(f) = -19*f**2 + 5*f + 5. Let b(l) = -28*l**2 + 7*l + 7. Let m(c) = 5*b(c) - 7*o(c). What is m(q(y))?
-28*y**2
Let t(f) = -1 + 2*f + 1. Let z(v) = 5 - 2 + 3*v**2 - 3. Calculate t(z(m)).
6*m**2
Let z(x) = 6*x - 6*x + 4*x**2 - 3*x**2. Let r(v) = -10*v. Determine r(z(m)).
-10*m**2
Let w(d) = -9*d**2 + 3*d. Let g(m) = 237*m. Calculate g(w(y)).
-2133*y**2 + 711*y
Let o(m) = 3*m. Let i be 6 - (1 + 2) - 1. Let x(z) = i*z - 2*z + z**2. Determine x(o(k)).
9*k**2
Let r(d) = 8*d. Let u(c) = 11*c**2. Calculate r(u(v)).
88*v**2
Let d(t) = -152*t. Let y(r) = -49*r. Give y(d(v)).
7448*v
Let w(z) = -14*z + 8*z + 7*z. Let l(a) = -33*a. Calculate l(w(y)).
-33*y
Let n(q) be the second derivative of -q**4/6 + 23*q. Let m(i) = -1. Let h(x) = x**2 - 2. Let u(g) = h(g) - 2*m(g). Give n(u(j)).
-2*j**4
Let o(y) = 327*y**2. Let b(u) = -u. Determine o(b(t)).
327*t**2
Let z(m) = -842*m + 2. Let s(l) = 2*l. Calculate s(z(b)).
-1684*b + 4
Let l(r) be the second derivative of r**3/2 + 10*r. Let c(u) = 2 + 0 - 2 - u**2. What is c(l(j))?
-9*j**2
Let m(t) = t**2. Let d(i) = -i**2 + i + 1. Let s(w) = -6 - 4*w + 4*w**2 - 2*w + 0*w. Suppose 0 = -2*x - 0*x - 12. Let l(u) = x*d(u) - s(u). Give l(m(c)).
2*c**4
Let n(r) = -r. Let t(x) be the first derivative of -x**5/20 + x**2/2 - 2. Let u(b) be the second derivative of t(b). What is u(n(v))?
-3*v**2
Let i be (-15)/(-10)*(-2)/(-3). Let d(q) = -10*q. Let k(j) = -j. Let a(o) = i*d(o) - 12*k(o). Let m(l) = -12*l. What is m(a(b))?
-24*b
Let l(m) = 21*m**2 + 2. Let d(o) = 1679*o**2 + 161. Let z(x) = 2*d(x) - 161*l(x). Let u(a) = -a. Calculate u(z(r)).
23*r**2
Let u(w) = w. Let o(d) = 28*d - 5 - 11 + 16. Give o(u(x)).
28*x
Let v(q) = -16*q**2. Let y(s) = -108*s**2. Calculate y(v(z)).
-27648*z**4
Let u(l) be the third derivative of -l**5/120 - l**3/2 - l**2. Let b(s) be the first derivative of u(s). Let j(q) = -3*q. Give b(j(m)).
3*m
Let o(m) = 3*m. Let k(x) be the third derivative of -x**4/24 - 3*x**2. Determine o(k(t)).
-3*t
Let v(n) = 6*n. Let y(w) = -3*w. Let j(b) = 2*v(b) + 6*y(b). Let q(d) = 3*d**2. Give j(q(x)).
-18*x**2
Let x(j) = -5*j**2 - 9*j - 9. Let d(q) = q**2 + 2*q + 2. Let r(o) = -18*d(o) - 4*x(o). Let s(v) = 5*v. Determine s(r(i)).
10*i**2
Let d(b) = -b - b + b + 4*b. Let t(s) = 9*s**2. Calculate d(t(z)).
27*z**2
Let d(x) = 20*x. Let k(n) = -31*n + n**2 + n**2 + 31*n. Calculate d(k(y)).
40*y**2
Let q(w) = 144*w + 33. Let b(j) = -9*j - 2. Let n(a) = 33*b(a) + 2*q(a). Let r(c) = 3*c. Give n(r(d)).
-27*d
Let w(j) = 2*j**2. Let t(k) = -18*k + 7. Give w(t(a)).
648*a**2 - 504*a + 98
Let x(w) = -w. Let t(a) be the first derivative of 2 + 0*a**2 + 0*a - 1/3*a**3. Determine t(x(u)).
-u**2
Let v(l) = 7*l. Let c(p) be the third derivative of -p**5/30 - 22*p**2. Give v(c(h)).
-14*h**2
Let n(i) = 2*i**2. Let z(u) be the third derivative of -u**7/420 - u**4/6 + 6*u**2. Let v(h) be the second derivative of z(h). Calculate v(n(x)).
-24*x**4
Let n(w) = w**3 - 1. Let b be n(0). Let k(a) = a. Let d(i) = 0*i - 2*i - i. Let t(r) = b*d(r) - 2*k(r). Let f(v) = v. What is t(f(m))?
m
Let s(i) = -i - 11. Let w = -25 - -47. Let n(a) = -1. Let q(j) = w*n(j) - 2*s(j). Let d(l) = 2*l - 10*l + 8*l + l**2. Determine d(q(g)).
4*g**2
Let u(g) = -5*g. Let q(y) = -y. Let a(o) = 6*q(o) - 3*u(o). Let p(z) = 5500 - 5500 - 2*z. What is a(p(t))?
-18*t
Let o = 33 - 13. Let g(f) = -7 - 2*f - 13 + o. Let q(h) = -4*h - 5. Let l(k) = 2*k + 2. Let z(i) = 5*l(i) + 2*q(i). Determine z(g(v)).
-4*v
Let h(s) = -7*s - 152 + 152. Let a(l) be the first derivative of -l**3/6 + 2*l + 2. Let i(g) be the first derivative of a(g). Calculate i(h(b)).
7*b
Let r(l) = 107*l. Let a(d) = 2*d. Determine a(r(z)).
214*z
Let z(c) = 8*c**2 + 2. Let p(i) = -i**2. Give z(p(a)).
8*a**4 + 2
Let b(d) = 4*d**2. Let i(k) = 9*k**2 - 477*k + 4*k**2 + 477*k. Calculate i(b(r)).
208*r**4
Suppose -5*b + 7 = -4*l, 3*l + 2 = -b + 11. Let x(g) = -7*g**2 + 2*g**2 + 3*g**l. Let i(w) = 3*w + 2*w - 4*w. Give x(i(t)).
-2*t**2
Let n(l) = 4*l**2 + 5*l - 5. Let f(g) = 10*g**2 + 12*g - 12. Let j(u) = -5*f(u) + 12*n(u). Let c(q) be the third derivative of -q**5/10 - q**2. Give c(j(x)).
-24*x**4
Let f(c) = c**2 + 3449*c - 2. Let l(y) = -y**2. Calculate f(l(x)).
x**4 - 3449*x**2 - 2
Let o(x) = -6*x**2. Let m(r) = 12*r + 1. Give o(m(q)).
-864*q**2 - 144*q - 6
Let o(d) = 43*d**2. Let u(j) = -82*j**2. Give o(u(w)).
289132*w**4
Let x(s) = -s. Let n(b) = -6*b. Let u(y) = 4*y. Let h(l) = -5*n(l) - 8*u(l). Calculate h(x(k)).
2*k
Let r(w) = 120*w**2 + w. Let l(v) = 4*v**2. Calculate r(l(a)).
1920*a**4 + 4*a**2
Let q(a) = 2*a**2. Suppose n + 4*c = 10, -3*n = 3*c + 2*c - 16. Let s(i) be the third derivative of 0*i**3 - n*i**2 + 0 - 1/24*i**4 + 0*i. What is s(q(v))?
-2*v**2
Let b(g) be the first derivative of -g**2/2 - 1. Let j(r) = -605 + 304 + 301 - 8*r**2. Give j(b(o)).
-8*o**2
Let f(o) = o. Let s(i) = -4*i**2 + 9. What is s(f(m))?
-4*m**2 + 9
Let u be ((-3)/(-1) + -7)/(-1 + -1). Let o(t) be the third derivative of 0 + 3*t**u + 0*t**3 + 0*t**4 + 1/30*t**5 + 0*t. Let z(k) = -2*k**2. What is z(o(m))?
-8*m**4
Let s(y) = -8*y**2 + 3*y. Let v(j) = -j**2 - j. Let d(h) = s(h) + 3*v(h). Let k(c) = -3*c**2. What is d(k(q))?
-99*q**4
Let u(c) be the third derivative of 13*c**5/60 + 19*c**2. Let q(x) = 2*x**2. Calculate u(q(t)).
52*t**4
Let v(i) = -39*i. Let s(t) = 180*t + 1. Determine v(s(u)).
-7020*u - 39
Let p(n) = 8*n - 3. Let f(w) = 17*w. Determine p(f(o)).
136*o - 3
Let z(i) = 0 + 1 + i**2 - 1. Let t be (-16)
|
{
"pile_set_name": "DM Mathematics"
}
|
ose l = -3*t - 8. Let z be n(t). Determine p(z).
-6
Let z(u) = u + 11. Suppose -12*s + 0*s = s. Calculate z(s).
11
Let q(f) be the first derivative of f**2 + 2*f - 11. Give q(-5).
-8
Suppose i + 5 = 2*i. Suppose i*a + 5 + 15 = 0. Let s(f) = -f**2 - 4*f - 3. Calculate s(a).
-3
Let z(n) = -n**2 - 8*n + 1. Let c be z(-8). Let f(s) = -c - 5*s + 2 - s**2 + 0*s + 6. Calculate f(-5).
7
Suppose 14 = -6*d + 26. Let m = 1 + 2. Let y(v) = m - 2*v - v**2 + 0 - d*v. Calculate y(-4).
3
Let y(q) = q**2 - 3*q + 2. Suppose -4*p - 4 = 5*u, 3*p + 2*u - 24 = 5*u. What is y(p)?
6
Let n be (-26)/(-12) + (-1)/6. Suppose n*a + a = 9. Let j(u) be the first derivative of -u**3/3 + u**2 - 3*u + 1. Determine j(a).
-6
Let h(o) = -2*o - 8. Let v be h(-8). Suppose -3*a = -v*a. Let y(f) = 4*f - 6*f + 4 + 5 + 3*f. Calculate y(a).
9
Let f(t) be the second derivative of -t**4/12 - t**3/3 + t**2 - 5*t. Calculate f(-6).
-22
Let b(x) = x**2 - x - 5. Suppose 2*r + 4 = 4*q, 5*q = -0*q + 4*r + 2. Suppose -q*a = -4*a. Let y be -1 + a - (-1 + 0). What is b(y)?
-5
Let u(d) = -3*d**2 + 9*d - 13. Let f(y) = -2*y**2 + 4*y - 6. Let l(k) = 5*f(k) - 3*u(k). Let c be l(-8). Let a(o) = o**3 - 2*o**2 + 2*o - 1. Calculate a(c).
0
Suppose 5*p + 1 = 3*y, 0 = 2*y - 3*p - 1. Let b(o) = o**2 - 1. Let u(i) = -6*i**2 - i - 3. Let t(k) = y*b(k) - u(k). Calculate t(-1).
8
Let w = 5 + -2. Suppose 0 = w*b + b. Let f be (-1 - (-6 - b))*-1. Let o(y) = 2*y + 5. Determine o(f).
-5
Let z(u) = 3 + 10*u + 4 - u**2 - 4*u. Calculate z(6).
7
Suppose 6 - 11 = -h. Suppose h*u = u + 20. Let n(a) = -2*a + 2. Give n(u).
-8
Let f be 0/(0 + 3) + 3. Let g(c) = 2*c - 2. Let i be g(f). Suppose -3*o = -2*p + 17, -3*o = o - i*p + 24. Let u(r) = -r - 10. Give u(o).
-5
Let c(s) = -218*s**2 - 2*s + 1. Let f be c(1). Let i be f/(-15) - (-6)/(-10). Suppose 0 = 3*m + 1 + i. Let n(p) = -p**2 - 7*p - 6. Determine n(m).
4
Let i(c) = 10*c**3 + 16*c**3 - 1 + 9*c**3 + 2*c - 34*c**3 + 6*c**2. What is i(-2)?
11
Let r(f) = 2*f - 5. Let y be (3 - -1) + -8 + (-4)/2. Calculate r(y).
-17
Suppose -125 = -3*x + 5*d, 0*d = -x + d + 41. Let a be x/18 - (-6)/(-27). Suppose -5 = a*i - 3. Let p(u) = -u**2 - 2*u - 1. Determine p(i).
0
Let s(q) = q + 7. Let j be s(-5). Let m(a) = -8*a. What is m(j)?
-16
Suppose -d + 0 + 4 = 0. Suppose 3*q - 6 = 2*i, d*i + 12 = -0*q + 4*q. Let l(k) = -k**2 + k - 4. Give l(q).
-4
Let f(l) = l**3 - 4*l**2 - 5*l + 1. Let o(t) = -2*t - 11. Let h be o(-14). Let k = h + -12. Determine f(k).
1
Let x = 63 - 65. Let b(l) = 3*l**3 + 2*l**2 + 4*l + 2. What is b(x)?
-22
Let n(u) = -u + 2. Suppose 3*a + 7 = -3*d - 2, -5*d + 4*a = -30. Give n(d).
0
Let z be 0/(1 + 1 - 3). Let j = 12 + -9. Suppose z*q - j*q + 3 = 0. Let k(l) = 5*l**2 + l. What is k(q)?
6
Let g(v) be the third derivative of -7*v**6/120 - v**4/6 + v**3/2 - 3*v**2. Let w(a) = -6*a**3 - 5*a + 4. Let i(u) = -4*g(u) + 3*w(u). Calculate i(1).
11
Suppose -2 = b - t - 0*t, -3*t + 6 = -2*b. Let i(q) = -q**3 - q**2 - q + 9. What is i(b)?
9
Let p(s) = s**2 + 5*s + 4. Suppose 2*j - 3*r = -11, 0 = -2*j - 5*r + 13. Let v = j + -2. What is p(v)?
-2
Let z(i) be the third derivative of i**5/60 + i**4/12 - i**3/6 - 31*i**2. What is z(1)?
2
Let q(z) = z**3 + 5*z**2 + z + 6. Let l = 13 + -18. Determine q(l).
1
Let h(c) = c - 11. Suppose 4*d = 2*b, -3*b + 4*b + 3*d - 15 = 0. Give h(b).
-5
Suppose 2*l + l - h - 29 = 0, -15 = 3*h. Let r(v) = -6*v**2 + l - v**3 - 5*v + 0 - 2. Suppose 20 = -10*u + 6*u. What is r(u)?
6
Let n(k) = 2*k**2 - 1. Let a(s) = -s**2 + 6*s - 10. Let h be a(4). Calculate n(h).
7
Let b(o) = -o**3 + 3*o**2 + o - 2. Suppose 2*v = 4*h + 2 - 4, 2*h + 2*v - 10 = 0. Let d be b(h). Let u(f) = -d*f**2 + 1 + f + f + 3*f**2. What is u(-1)?
-2
Let v = -19 + 13. Let p(n) = n**2 + 6*n. Determine p(v).
0
Let v(i) be the third derivative of -1/12*i**4 + 0*i + 1/3*i**3 + 0 + i**2. Calculate v(2).
-2
Let q(o) = 2*o**2 + 6*o - 6. Let c(g) = -g**2 + g + 1. Let u(v) = -c(v) - q(v). Calculate u(-8).
-3
Let a(c) = -c**2 - c + 1. Let k(g) = 3*g**2 - 4. Let p(m) = -2*a(m) - k(m). What is p(2)?
2
Let q(j) = j**3 + j**2 - 4*j - 3. Let w(u) = -4 + 0 + u**2 + 2*u**3 + 3. Let y be w(1). Let o be (((-12)/y)/(-3))/(-1). Determine q(o).
1
Let i = 0 + 1. Let a = 5 - i. Let t(m) = -m**2 - 2*m + 1. Let w(f) = -3*f**2 - 3*f + 1. Let k(h) = 5*t(h) - 2*w(h). Calculate k(a).
3
Let r(k) = k**3 + 9*k**2 + 7*k - 4. Let c = -9 - -1. Calculate r(c).
4
Let d(y) = -11*y**2 + 2*y - 3. Let h(j) = 16*j**2 - 3*j + 4. Let l(p) = -7*d(p) - 5*h(p). Calculate l(-1).
-3
Let c(x) = -x + 2. Let k = -102 - -97. Calculate c(k).
7
Let g(u) be the third derivative of 1/120*u**6 - u**2 + 1/30*u**5 + 1/8*u**4 + 1/3*u**3 + 0 + 0*u. Let z(r) = -2*r**2 + 15*r + 6. Let b be z(8). Determine g(b).
-4
Let x(l) = -l**2 + 2*l + 0*l - 3 + 3*l. Let z be x(3). Suppose z*r + 1 = 4*c, -2*r + 0*c + 2 = -2*c. Let y(b) = -b**3 + 4*b**2 + 3*b + 7. What is y(r)?
-3
Let y(a) = -11 + 0*a**2 + a**2 - 13 + 27 + 9*a. What is y(-8)?
-5
Let y(t) = -2*t**3 + 7*t**2 - 6*t + 2. Let s be y(4). Let k be (-2)/(-8) + s/(-8). Let w(c) = c**2 - 4*c + 7. What is w(k)?
12
Let i(u) = u**3 - 3*u**2 - 6*u + 3. Suppose -2*s - s = -5*y - 32, 0 = 3*s + 4*y + 4. Give i(s).
-5
Let p(x) = x**3 + x**2 + x + 12. Let z(b) = 2*b**3 + 2*b**2 + 2*b + 23. Let n(g) = -7*p(g) + 4*z(g). Determine n(0).
8
Let z(j) = -5*j**3 - 9*j**3 + 3 - 13*j**2 + 9*j**3 + 7*j. Let y(l) = 6*l**3 + 14*l**2 - 7*l - 4. Let c(x) = -6*y(x) - 7*z(x). Determine c(6).
-3
Let n(g) be the third derivative of 0 + 0*g - 1/12*g**5 + 4/3*g**3 - 1/3*g**4 + 1/120*g**6 + 4*g**2. Give n(6).
-4
Let l(a) = 4. Let t(s) = s - 7. Let i(b) = -5*l(b) - 3*t(b). Let v(w) = w. Let d = 13 + -18. Let n(f) = d*v(f) - 2*i(f). Give n(4).
2
Let n(q) be the second derivative of -q**4/12 - q**3/3 - 2*q**2 - 7*q. Give n(-3).
-7
Let b = -5 - -11. Let v(l) = -2*l + 2. Suppose 3*j - 20 = -j. Let p(s) = -2*s + 3. Let a(h) = j*v(h) - 6*p(h). What is a(b)?
4
Let h(x) = 9 - x**3 + 183*x - 93*x - 92*x + 7*x**2. Determine h(7).
-5
Suppose g + 3*g + 12 = a, 0 = -a. Let l = g - -5. Let i(h) = 3*h + 1. What is i(l)?
7
Let r(g) be the third derivative of -g**4/12 + 12*g**2. Give r(-2).
4
Let b(v) = 3 + 0 - 2*v + 3*v. Let x be 9 + (-4 - (2 - 6)). Suppose x = 5*g + 34. Determine b(g).
-2
Let f(z) = z**3 - 4*z**2 + 4*z - 1. Let a be (-7)/(-4) + (-1)/(-4). Suppose -4*m + 2*x - 4*x = -8, -8 = a*x. Calculate f(m).
15
Let o(g) = -2*g**3 + 2*g**2 + 4*g - 2. Let f(l) = 3*l**3 - l**2 - 5*l + 3. Let d(z) = -3*f(z) - 4*o(z). Give d(-5).
4
Let l be 0/(((-4)/(-2))/(-2)). Let x(n) = -n**3 - n**2 - n + 1. Let p be x(l). Let z(q) = p - 4 + 3 + 2*q. Give z(2).
4
Let a(j) be the second derivative of j**6/120 + j**5/12 - 3*j**4/8 - 4*j**3/3 + 2*j**2 - j. Let q(s) be the first derivative of a(s). Give q(-6).
10
Suppose 4*w = 2*w. Suppose -5*q - f - 5 = w, 3*q - 4*f + 20 = -8*f. Let r(o) be the first derivative of o**3/3 - o**2/2 - 5*o + 2. Determine r(q).
-5
Let c(y) = y**3 + 4*y**2 + 4*y + 5. Let v = -4 + 0. Calculate c(v).
-11
Let g(m) = -m**2 + 1. Let r = 90 + -90. Give g(r).
1
Let u(d) = d**3 - 10*d**2 + 2*d + 4. Let w(x) = -x**2 + x. Let t(h) = u(h) - 5*w(h). What is t(5)?
-11
Let s be -2 - 2*(-2)/(-4). Let v(x) = 9*x + 2. Let r(q) = 17*q + 4. Let z(l) = -6*r(l) + 11*v(l). What is z(s)?
7
Let m = -6 + 6. Let l = -1 - m. Let v(t) = -10*t**3 - 3*t - 1. Let x(c) = -29*c**3 - 8*c - 3. Let s(w) = -8*v(w) + 3*x(w). Calculate s(l).
6
Let z(m) = 3*m**3 + 3*m**2 - 5*m - 3. Let d(l) = -2*l**3 - 3*l**2 + 4*l + 2. Let i(s) = -4*d(s) - 3*z(s). What is i(2)?
3
Let t(o) = 2*o - 3. Let f(w) = -3*w + 4. Let k be 17/(-5) - (-8)/20. Let z(m) = k*f(m) - 4*t(m). What is z(6)?
6
Let q(j) be the second derivative of -j**5/20 + j**4/6 + 5*j**3/6 - 2*j**2 - 3*j. Let a be (-2 - (1 - 6))/(-1). Let r = 0 - a. Determine q(r).
2
Let o(q) = -3*q**2 - q. Let w(s) = s**3 - 7*s**2 - 8*s + 7. Let m(f) = f**2 - 6*f + 8. Let d be m(6). Let k be w(d). Suppose -4 = k*p - 3*p. What is o(p)?
-2
Let i(q) = -q**3 + q**2 - q + 1. Let m(l) = 3*l**3 + 3*l**2 + 7*l + 2. Let g be 3/(-18) - 39/(-18). Let c(w) = g*i(w) + m(w). Give c(-4).
0
Let w(c) = -c**3 + 8*c**2 + 10*c - 8. Let r be w(9). Let q(x) = 16*x**3 - 7*x + 9. Let i(t) = 8*t**3 - 3*t + 4. Let k(u) = -9*i(u) + 4*q(u). What is k(r)?
-9
Let b(p) = 2 - 6 - p +
|
{
"pile_set_name": "DM Mathematics"
}
|
)**2*(t - 1)**2/11
Determine r, given that 12/5*r**4 + 9312/5*r**3 + 4638/5 + 5571*r**2 + 20877/5*r = 0.
-773, -2, -1/2
Let k(q) be the first derivative of q**6/9 + 176*q**5/15 + 1097*q**4/6 + 9196*q**3/9 + 2084*q**2 + 1776*q + 1792. Suppose k(u) = 0. What is u?
-74, -6, -1
Let i(c) = c - 18. Let u be i(24). Let z(b) be the second derivative of 0 + 0*b**3 + 0*b**2 - 2/15*b**u - 1/21*b**7 - 1/10*b**5 + 0*b**4 - 17*b. Factor z(g).
-2*g**3*(g + 1)**2
Let k(i) be the first derivative of 0*i + 0*i**3 + 2*i**4 - 7 - 2*i**2 - 2/3*i**6 + 0*i**5. Factor k(n).
-4*n*(n - 1)**2*(n + 1)**2
Let f(d) be the second derivative of -3*d**5/20 + 41*d**4/4 + 22*d**3 - 126*d**2 - 2066*d. Factor f(z).
-3*(z - 42)*(z - 1)*(z + 2)
Let m(j) = 170*j**2 + 14960*j + 4. Let u be m(-88). Suppose -10 - u*c - 2/5*c**2 = 0. What is c?
-5
Let t(f) be the first derivative of -f**5/30 - 11*f**4/24 + 2*f**3/3 + 3782. Factor t(z).
-z**2*(z - 1)*(z + 12)/6
Let z(y) be the third derivative of 1/48*y**4 + 0*y + 1/600*y**5 - 1/10*y**3 - 2 - 21*y**2. Suppose z(r) = 0. Calculate r.
-6, 1
Let d(i) be the first derivative of 529*i**6/8 - 6279*i**5/5 + 19401*i**4/16 + 329*i**3 + 45*i**2/2 - 3169. Suppose d(g) = 0. What is g?
-2/23, 0, 1, 15
Let v(q) be the second derivative of -3/65*q**5 + 2/39*q**4 + 1/3*q**3 + 43*q + 0 + 1/273*q**7 + 6/13*q**2 - 2/195*q**6. Determine z so that v(z) = 0.
-1, 2, 3
Let c(x) = x**2 - 7*x - 42. Let h be c(-4). Let j(t) be the third derivative of 0*t - 2/3*t**3 + 7*t**h + 0 + 1/3*t**4 - 1/15*t**5. Solve j(m) = 0.
1
Let g(l) = -5*l**5 - 20*l**4 - 5*l**3 + 56*l**2 + 20*l - 25. Let i(f) = 2*f**2 + 5. Let o(q) = -g(q) + 3*i(q). Determine h so that o(h) = 0.
-2, 1
Let n(q) = -162*q**2 + 312*q + 213. Let z(s) = -143*s**2 + 312*s + 212. Let a(i) = -8*n(i) + 9*z(i). Suppose a(f) = 0. Calculate f.
-34, -2/3
Let m = 586 + -114. Let l = m + -470. Suppose 0 + 2/9*o**3 - 2/9*o**5 + 2/9*o**l + 0*o - 2/9*o**4 = 0. Calculate o.
-1, 0, 1
Let d be 2 + (-4 - -4)/(-2 + 3). Solve 19*u + u - 5223*u**d + 5219*u**2 = 0 for u.
0, 5
Let q(b) be the first derivative of 9/16*b**4 + 7/6*b**3 + 1/2*b - 21 + 9/8*b**2 + 1/10*b**5. Factor q(s).
(s + 1)**2*(s + 2)*(2*s + 1)/4
Find j such that 65/3*j**2 - 17*j - 13/3*j**3 + 0 - 1/3*j**4 = 0.
-17, 0, 1, 3
Let t(r) be the first derivative of 20/3*r**3 + 1/6*r**6 - 183 + 0*r + 7/5*r**5 + 9/2*r**4 + 4*r**2. Factor t(i).
i*(i + 1)*(i + 2)**3
Let o = 150 + -151. Let d be (o/(-14))/((-9)/(-216)). Factor d + 12/7*y + 3/7*y**2.
3*(y + 2)**2/7
Let p(k) be the second derivative of k**6/450 - k**5/5 - k**3/6 + 137*k**2/2 - 143*k. Let l(m) be the second derivative of p(m). Factor l(t).
4*t*(t - 30)/5
Let t = 270 - 256. Suppose -12 = 2*v + 4*r, -5*v + 2*r - r + t = 0. Solve 2/3*o**3 + 1/3*o + 0 + 5/6*o**v + 1/6*o**4 = 0 for o.
-2, -1, 0
Let l(d) be the first derivative of 4*d**6/33 - 2302*d**5/55 + 41900*d**4/11 - 287428*d**3/33 + 3692*d**2 + 3718*d - 1279. Find j such that l(j) = 0.
-1/4, 1, 143
Let w(h) = -65*h**2 - 360*h - 979. Let t(m) = -35*m**2 - 180*m - 489. Let u(x) = -11*t(x) + 6*w(x). Factor u(c).
-5*(c + 3)*(c + 33)
What is g in 1171*g**3 + 160*g**2 + 5*g**4 - 1010*g**3 - 4*g**4 = 0?
-160, -1, 0
Let h(y) be the third derivative of 1944*y**3 + 0*y + 14 + y**2 + 1/15*y**5 + 18*y**4. Factor h(x).
4*(x + 54)**2
Suppose 2*a - 41 = -29. Let d(z) be the first derivative of -2*z**5 + 3*z**5 - 5*z**3 + 5*z**2 - 3 + 0*z**5 - a. Factor d(s).
5*s*(s - 1)**2*(s + 2)
Let i(z) = z**2 - 75*z - 11932. Let l be i(-78). Factor -242/5*x**4 - 624/5*x**l - 64*x + 176*x**3 - 32/5.
-2*(x - 2)**2*(11*x + 2)**2/5
Let l = 1436 + -1415. Let m(g) be the first derivative of 0*g + 40/3*g**3 - 8*g**2 - l - 33/4*g**4 + 2*g**5 - 1/6*g**6. Factor m(i).
-i*(i - 4)**2*(i - 1)**2
Let r be -45*8/(-440)*84/54. Solve 2/11*v**2 + r*v + 0 = 0 for v.
-7, 0
Suppose -3*h = -2*n - 0*n - 1107, 2*n + 1108 = 4*h. Let x = 787 + n. Let 139*o**4 + 17*o - x*o**3 + 120 - 174*o**4 - 244*o - 490*o**2 - 33*o = 0. What is o?
-3, -2, 2/7
Factor -12326/5*b - 2/5*b**3 - 6162/5 - 6166/5*b**2.
-2*(b + 1)**2*(b + 3081)/5
Suppose 0 = -5*z - 5*t + 30, -2*t = -9 + 3. Determine i, given that z + 0*i - 3/4*i**2 = 0.
-2, 2
Let w(a) be the second derivative of -a**4/3 + 8*a**3/3 - 6*a**2 - 856*a. Factor w(s).
-4*(s - 3)*(s - 1)
Let d be (6/(-11) - (-78)/143)/3. Suppose 3*m - 4*v - 6 = d, 4*v = 2*m - 6 + 2. Factor 3/5 - 3/5*w**m + 1/5*w - 1/5*w**3.
-(w - 1)*(w + 1)*(w + 3)/5
Let c(k) be the first derivative of 87*k**5/35 + 9*k**4/14 - 116*k**3/7 - 36*k**2/7 - 6906. Find p, given that c(p) = 0.
-2, -6/29, 0, 2
Factor -1/6*k**2 + 0 - 127/6*k.
-k*(k + 127)/6
Find a, given that -3/8*a**3 - 15/8*a**2 + 15/2 + 3/2*a = 0.
-5, -2, 2
Suppose -3599480*j - 5*j**4 + 373056*j**2 + 156*j**4 - 10581*j**3 - 3657*j**3 - 97556 - 3*j**4 + 1366*j**3 = 0. What is j?
-1/37, 29
Let p be ((-120)/(-1))/4*180/240. Factor p + 3/2*a**2 + 12*a.
3*(a + 3)*(a + 5)/2
Let m(k) = k**2 + 6*k + 10. Let n be (4 + -8 - 1)/1. Let r(b) = 8*b + 8. Let q(l) = n*r(l) + 4*m(l). Factor q(f).
4*f*(f - 4)
Suppose -14*k + 104 = 104. Suppose 14 = 4*w + 33*c - 34*c, k = -w - 3*c + 10. Determine m, given that 0*m - 1/2*m**5 + 2*m**w + 0 - 5/2*m**3 + m**2 = 0.
0, 1, 2
Determine h, given that 1012 - 5*h**3 - 275*h**2 + 801 + 662 - 1166*h - 1029*h = 0.
-45, -11, 1
What is s in -6480 - 2/9*s**4 + 2376*s - 276*s**2 + 118/9*s**3 = 0?
5, 18
Let k = -20 + 22. Suppose -3*r + 0*r - 4*n + 63 = 0, k*n = -3*r + 63. Find y such that 27*y**2 - 5*y**3 - r*y**2 + 7*y**3 = 0.
-3, 0
Let g(d) = 3*d**2 + 125*d - 1800. Let k be g(-53). Let 512/9 - 64/9*n + 2/9*n**k = 0. What is n?
16
Let u(k) be the second derivative of -k**5/5 + 194*k**4/3 + 9*k + 21. Factor u(z).
-4*z**2*(z - 194)
Suppose -128/9 - 4/3*s**2 - 4/9*s**3 + 16*s = 0. Calculate s.
-8, 1, 4
Let g(p) be the first derivative of -2*p**3/21 + 1357*p**2/7 + 5436*p/7 - 11322. Solve g(w) = 0.
-2, 1359
Let d(y) be the first derivative of -2/3*y**6 + 2*y**4 + 0*y + 40 + 16/5*y**5 - 16*y**3 - 18*y**2. Factor d(k).
-4*k*(k - 3)**2*(k + 1)**2
Let r(j) = 10*j**2 - 5827*j - 3. Let s(h) = -35*h**2 + 17480*h + 10. Let k(l) = 10*r(l) + 3*s(l). Let k(m) = 0. What is m?
-1166, 0
Let l = -4789/14 + 165/7. Let g = 331 + l. Determine c, given that -2*c**2 + 5/4*c + g + 1/4*c**3 = 0.
-2, 5
Suppose 2*f = -f + 8*f - 0*f - 4*u, 5*f = 2*u. Let 0*q - 11/9*q**4 + f + 5/9*q**3 + 2/9*q**2 + 4/9*q**5 = 0. Calculate q.
-1/4, 0, 1, 2
Factor 2 - 77/2*j**2 + 39/4*j**3 + 37*j.
(j - 2)**2*(39*j + 2)/4
Let a(s) be the third derivative of -13*s**6/24 - 23*s**5/3 - 235*s**4/6 - 280*s**3/3 - 756*s**2 - s. Find c, given that a(c) = 0.
-4, -2, -14/13
Let -1176 - 385*q - 1113 - 1144 + 3347 + 482*q**2 - 11*q**3 = 0. Calculate q.
-2/11, 1, 43
Let f(a) be the second derivative of 5*a**7/6 + 47*a**6/6 + 63*a**5/4 + 65*a**4/12 - 25*a**3/3 + 7*a - 34. Solve f(u) = 0.
-5, -1, 0, 2/7
Suppose 15*t = 14 - 119. Let b(u) = 3*u**4 - 3*u**3 - 24*u**2. Let a(d) = 3*d**4 - 2*d**3 - 26*d**2. Let f(o) = t*b(o) + 6*a(o). Factor f(s).
-3*s**2*(s - 4)*(s + 1)
Let a(i) be the second derivative of -1/2*i**4 - 6*i**3 + 0*i**2 - 118*i - 1/80*i**5 + 0. Factor a(n).
-n*(n + 12)**2/4
Suppose 5*k - 19 = 26. Let -4*j**2 - k + 11 - 6 - 8*j = 0. Calculate j.
-1
Let i(r) be the third derivative of r**8/40320 - r**7/5040 + r**5/180 + 125*r**4/24 + 7*r**2 - 2*r. Let y(a) be the second derivative of i(a). Factor y(g).
(g - 2)**2*(g + 1)/6
Let w(k) be the second derivative of -k**7/420 + 7*k**6/360 - k**5/15 - 5*k**4/4 - 47*k - 2. Let j(u) be the third derivative of w(u). Factor j(f).
-2*(f - 1)*(3*f - 4)
Suppose 2*o - 5*r = 7*o - 25, -5*r + 25 = 3*o. Suppose 5*k + 4*h = -o*k - 5, 3*k + 5*h + 16 = 0. Solve 0*f + k*f**3 - 10*f**2 + 10*f**2 - 3*f = 0.
-1, 0, 1
Let d(w) be the first derivative of 3*w**4/20 + 348*w**3/5 + 45414*w**2/5 - 754. Let d(y) = 0. Calculate y.
-174, 0
Let g(w) be the third derivative of w**6/30 - 181*w**5/15 + 30*w**4 + 2573*w**2. Factor g(t).
4*t*(t - 180)*(t - 1)
Determine n, given that 2/5*n**3 + 0*n - 2/5*n**2 + 0 = 0.
0, 1
Let d = -223679 + 223679. Find f such that 0 + d*f + 0*f**2 - 40/3*f**3 - 2/3*f**4 + 2/3*f**5 = 0.
-4, 0, 5
Solve 23025*f**3 + 1890*f**2 + 2*f**5 - 24750*f**3 - 170*f**4 + 3*f**5 = 0 for f.
-9, 0, 1, 42
Solve 16*v - 70/3*v**3 - 346/9*v**2 - 8/9 = 0 for v.
-2, 1
|
{
"pile_set_name": "DM Mathematics"
}
|
00005
Let h = -42 + 86. Let z = 41.1 - h. Let v = z + 2.14. Round v to one decimal place.
-0.8
Let u = 4614.82 + -4667. Let i = u + 53. Round i to 1 dp.
0.8
Let t = -23 + 18. Let b = -4.99992 - t. What is b rounded to four decimal places?
0.0001
Let i = 17 + -17.000004. Round i to 5 decimal places.
0
Let x = -1.77 - -0.26. Let v = x + 1.417. Round v to two decimal places.
-0.09
Let i = 0.98 - 1.019. Let c = i + 0.0429. Round c to three dps.
0.004
Let y = 351.411 - 1.111. Let c = y - 366. What is c rounded to 0 decimal places?
-16
Let r(o) = -2*o - 3. Let w be r(-4). Let q = w - 7. Let f(s) = -10500*s**3 + s**2 + 3*s + 2. Let x be f(q). Round x to the nearest ten thousand.
80000
Suppose 0*v - 570 = -v. Let t be (-24)/15*(-15)/6. Suppose t*k = 5*k + v. Round k to the nearest 100.
-600
Let p = 13151.73 + -13213. Let v = 62 + p. Round v to one dp.
0.7
Let x = 507 - 597.6. Let m = x - -99. What is m rounded to the nearest integer?
8
Let d = -31 - -31.00000236. What is d rounded to 7 decimal places?
0.0000024
Let u = 0.9 - 0.863. What is u rounded to two decimal places?
0.04
Let m = 0.7283 + 4.278. Let u = m - 5. Round u to three dps.
0.006
Suppose 5*a - 6*a + 4*c + 4 = 0, 0 = 3*a + 2*c - 12. Suppose 429 + 1971 = a*u. What is u rounded to the nearest 1000?
1000
Suppose 214992 = -5*f - 0*p + 4*p, -5*f = -p + 214998. Round f to the nearest 10000.
-40000
Let s be -90002 + 0 - (10 - 12). Let o be ((-41)/(-3))/(3/s). Round o to the nearest 100000.
-400000
Suppose 2*m + 42 = 3*b - 4*b, -4*m = -4. Let a = b - -69. Let r be 3*(a - 2) + 0. What is r rounded to the nearest 10?
70
Suppose 0 = 4*j - 7 - 13. Suppose j*t + 2*c - 11 = -189, -3*t = 3*c + 114. What is t rounded to the nearest 10?
-30
Let o = 12466 - 12392.49. Let f = o - 73. What is f rounded to 1 dp?
0.5
Let s = -3.01 - -3. Let n = -0.0100123 - s. What is n rounded to 6 decimal places?
-0.000012
Let a = -14.3 + -46.7. Let i = a + 64.9. Round i to 0 dps.
4
Let w = -13.100681 - -12.92068118. Let v = w + 0.18. What is v rounded to 7 dps?
0.0000002
Suppose -4*y - 718 = 5*j - 213, -j = -5*y + 72. Let c = 209 + j. Round c to the nearest 10.
110
Let t = 7565 - 4533. Let c = t - 6232. Round c to the nearest one thousand.
-3000
Let z = 0.6 - 0.2. Let a = z - 0.4000002. Round a to seven decimal places.
-0.0000002
Let u(j) = j**2 + j + 316000. Let d be u(0). Suppose -3*y + d = -y. Round y to the nearest 10000.
160000
Let y = 0.0988897 + 0.1911169. Let k = y + -0.29. Round k to 6 decimal places.
0.000007
Let w = -11.9968 + 12. Round w to three dps.
0.003
Let l = 33.52 + -33. Let p = 42.52 - l. Let j = p + -42.0000049. What is j rounded to six decimal places?
-0.000005
Let c(l) = 1882*l - 12. Let a be c(16). Round a to the nearest 10000.
30000
Let y = 2478557.9909 - 2478419. Let l = -3.18 + 142.18. Let a = l - y. What is a rounded to 3 dps?
0.009
Suppose 0 = 56*x - 59*x + 8820000. Round x to the nearest 100000.
2900000
Let r = -12 + 19. Suppose 0 = -r*a + 2*a - 720. What is a rounded to the nearest 10?
-140
Let r = 3548038 - 3548055.000056. Let a = 17 + r. Round a to 5 dps.
-0.00006
Let s(u) = 5*u + 2. Let v be s(2). Suppose f = -3*b + 4, -4*b - f + 3*f = -v. Suppose 0 = b*o + o - 195000. Round o to the nearest 10000.
70000
Let o = -36.046 + 36. What is o rounded to two decimal places?
-0.05
Let o(s) = s**2 - 11*s + 11. Let q be o(10). Let h(i) = -267*i - 1. Let b be h(q). Let y = b + 153. Round y to the nearest ten.
-120
Let f = -112 - -64.4. Let q = f + 24.5. Round q to 0 dps.
-23
Let p = 16 + -16.18. Let o = -0.17999988 - p. Round o to 7 dps.
0.0000001
Let j = 3.34 + 0.16. Let x = 3 - j. Let l = -0.50000036 - x. What is l rounded to seven decimal places?
-0.0000004
Let t = 16741.599872 - 16741. Let f = t + -0.6. What is f rounded to five dps?
-0.00013
Let v = 157 + -371. Let q = v - -214.000117. Round q to 5 dps.
0.00012
Let a = 10161 + 939. What is a rounded to the nearest 1000?
11000
Suppose 7*j - 70 = 2*j. Suppose k = 4*k - 6, -4*f + 3*k = -j. Suppose 4*b + 0*q + 320005 = -q, 3*b - f*q = -239975. What is b rounded to the nearest 10000?
-80000
Let i(b) = b**2 - 4*b + 4. Let h be i(3). Let q be (0 - 9003)/3 + h. What is q rounded to the nearest 1000?
-3000
Let u = 15.7 - 15. Let a = u + -1. Let l = 0.29995 + a. Round l to five dps.
-0.00005
Let h = -1.14 - -1.018. Let s = h + 0.1311. What is s rounded to 3 decimal places?
0.009
Let g = 133894.389 + -133958. Let h = g - -63.6509964. Let v = -0.04 + h. Round v to six dps.
-0.000004
Let o = 93 - 228. Let u = -2662547 - -2662682.0067. Let x = o + u. What is x rounded to three decimal places?
0.007
Let m = 4 - 7. Let a = -2.9 - m. Let y = a - 0.15. Round y to 2 decimal places.
-0.05
Let g = -45 + 44.9999674. Round g to 6 decimal places.
-0.000033
Let a = 0.247 + -0.049. What is a rounded to two dps?
0.2
Let r = 6417 + -3667. Suppose -2*y = 3*y + r. What is y rounded to the nearest one hundred?
-600
Let k = 3 + -3.1. Round k to one decimal place.
-0.1
Suppose -w = p + 3, 8*w = 3*w - 15. Suppose -2*x - 4*k - 39980 = -0*k, -5*x + k - 100005 = p. Round x to the nearest one hundred thousand.
0
Let q = 8.5 + -4. What is q rounded to zero dps?
5
Let h be (-416)/(-10)*75/(-6). Round h to the nearest one hundred.
-500
Let q = 1.68 - -5.42. What is q rounded to the nearest integer?
7
Let i = 21.0000078 + -21. Round i to six decimal places.
0.000008
Let b = -77156 + 22156. Round b to the nearest 10000.
-60000
Let l = 31.00019 + -31. What is l rounded to four dps?
0.0002
Let m = 3 - 3.1. Round m to 1 decimal place.
-0.1
Let n = 6749.986 - 6759. Let l = n + 9. Round l to two dps.
-0.01
Let u = -9 + 3. Let d(i) = -5*i + 2*i + 11*i + 1. Let q be d(u). Round q to the nearest 10.
-50
Let o(i) = i**2 + 5*i + 4. Let d be o(-5). Suppose -f = d*f - 950000. What is f rounded to the nearest 10000?
190000
Suppose -3*q + 6 = -3*l, 2*q - 3*l = 2*l + 1. Suppose 5*t - 669842 - 620163 = -q*r, 0 = 2*r - t - 859999. Round r to the nearest one hundred thousand.
400000
Let s = -3.239849 - -3.24. Round s to five dps.
0.00015
Let r(d) = -27*d**3 - 9*d**2 - 6*d - 6. Let l be r(7). What is l rounded to the nearest one thousand?
-10000
Let g = 0.47 + 0.08. What is g rounded to one decimal place?
0.6
Let n = 21.26 + 1.94. What is n rounded to the nearest integer?
23
Let w = -447.0000303 - -447. What is w rounded to five dps?
-0.00003
Let v = 0.215 - -116.785. Let j = v - 98.8. Round j to the nearest integer.
18
Let b = -0.3408 + 67.6608. Let d = b + -66. What is d rounded to 1 dp?
1.3
Let s = 37.047 + -37. Let g = 0.0575 - s. What is g rounded to 3 dps?
0.011
Let o = -32 + 31.99999. What is o rounded to five dps?
-0.00001
Let n = 317154 - 333919.1. Let d = 16601.199 + n. Let s = d + 164. Round s to two dps.
0.1
Let p = -3.6 + 3.776. What is p rounded to two dps?
0.18
Let f = 6442 - 12507. Let c = -4265 - f. Round c to the nearest 1000.
2000
Let f = -26.2 + 42.3. Let h = 17.21 - f. Let j = h + -1.109949. What is j rounded to five dps?
0.00005
Let i = 2.3 - 2. Let b = i - 4.3. Let t = b + 3.99928. Round t to 4 decimal places.
-0.0007
Let c = -188 + 430. Let j = c + -152. Let i = -89.99999937 + j. What is i rounded to seven dps?
0.0000006
Let j = 0.510066 + -0.51. What is j rounded to 5 dps?
0.00007
Let l = 0.59 - 31.59. Let c = 30.9999983 + l. What is c rounded to six decimal places?
-0.000002
Suppose -10715 - 5345 = -11*z. What is z rounded to the nearest one hundred?
1500
Let b = 123 - 185. Let m = -395.70059 + 457.7003. Let n = m + b. Round n to four dps.
-0.0003
Let z = 3 + -29. Let k = 131.6 - 154. Let d = z - k. What is d rounded to 0 dps?
-4
Let z = 6826 + -6820.9992. Let b = 5 - z. Round b to three dps.
-0.001
Let x = -51 + 53.95. Let c = -3.107 + x. Let m = 0.15700126 + c. Round m to seven decimal places.
0.0000013
Let x = 0.49 - -91.51. Let y = x - 89.28. Round y to one dp.
2.7
Suppose -3*f - 1 = -2*f. Let o be 739999 + f/1 + 2. What is o rounded to the nearest 100000?
700000
Let y = -1.2 + 1.19999908. What is y rounded to seven dps?
-0.0000009
Let z = 17.883 - 19.09. Let q = 6.2 - 5. Let c = z + q. What is c rounded to two decimal places?
-0.01
Let h = 31.7478 - 0.0478. What is h rounded to the nearest integer?
32
Let o = 0.131 - 0.234. Round o to 2 decimal places.
-0.1
Let x = 485 + -3
|
{
"pile_set_name": "DM Mathematics"
}
|
mber?
False
Is 7981 prime?
False
Is 3043 a prime number?
False
Is 121645 a composite number?
True
Is 3281581 a prime number?
False
Is 133997 a composite number?
True
Is 1756707 a prime number?
False
Is 20089 prime?
True
Is 1207447 a composite number?
False
Is 232873 a composite number?
True
Is 123049 a composite number?
False
Is 20486 composite?
True
Is 27641 a composite number?
True
Is 605093 a prime number?
False
Is 8963 a prime number?
True
Is 5293 a composite number?
True
Is 77317 a composite number?
False
Is 12077 a composite number?
True
Is 9791 composite?
False
Is 185 prime?
False
Is 24407 composite?
False
Is 98269 composite?
False
Is 277157 prime?
True
Is 5141 prime?
False
Is 4201 a composite number?
False
Is 12199 a composite number?
True
Is 31687 composite?
False
Is 65497 a prime number?
True
Is 2413 a composite number?
True
Is 9227 a composite number?
False
Is 86585 a prime number?
False
Is 9587 prime?
True
Is 691 composite?
False
Is 9527 prime?
False
Is 575767 composite?
True
Is 68347 a prime number?
False
Is 627559 a prime number?
True
Is 474553 a prime number?
False
Is 80243 a composite number?
True
Is 57383 prime?
True
Is 58477 composite?
False
Is 12797 composite?
True
Is 135491 a composite number?
True
Is 15509 a prime number?
False
Is 162203 a composite number?
True
Is 24286 a prime number?
False
Is 37781 prime?
True
Is 234373 a prime number?
False
Is 993197 a composite number?
False
Is 340541 a composite number?
False
Is 15479 a prime number?
False
Is 28829 composite?
True
Is 990761 prime?
True
Is 380615 a prime number?
False
Is 203713 a composite number?
False
Is 40637 prime?
True
Is 12197 prime?
True
Is 1122853 a prime number?
False
Is 14513 a prime number?
False
Is 79777 prime?
True
Is 907 prime?
True
Is 1735109 composite?
False
Is 3271 a prime number?
True
Is 68071 prime?
True
Is 1147331 composite?
False
Is 48247 composite?
False
Is 5309 a composite number?
False
Is 296785 a prime number?
False
Is 5147 a prime number?
True
Is 48331 composite?
True
Is 219353 composite?
False
Is 9799 a prime number?
False
Is 540817 a prime number?
False
Is 9143 a prime number?
False
Is 1897 a prime number?
False
Is 5335943 composite?
True
Is 94345 a prime number?
False
Is 748159 prime?
False
Is 41357 a prime number?
True
Is 102283 prime?
False
Is 1699715 composite?
True
Is 28513 composite?
False
Is 16087 prime?
True
Is 66529 composite?
False
Is 1783 prime?
True
Is 401 a composite number?
False
Is 15161 composite?
False
Is 23755 prime?
False
Is 412249 composite?
False
Is 71731 a composite number?
True
Is 384889 a prime number?
True
Is 1754 prime?
False
Is 61961 prime?
True
Is 234751 composite?
True
Is 2554 a composite number?
True
Is 29769 composite?
True
Is 69691 a prime number?
True
Is 85741 prime?
False
Is 18637 a composite number?
False
Is 828433 a prime number?
False
Is 1623 prime?
False
Is 106637 a prime number?
True
Is 178661 prime?
False
Is 1439 composite?
False
Is 2437 a prime number?
True
Is 4331 prime?
False
Is 233735 prime?
False
Is 31379 composite?
False
Is 250343 a composite number?
False
Is 21911 a prime number?
True
Is 17383 composite?
False
Is 53987 composite?
False
Is 3958221 composite?
True
Is 28097 prime?
True
Is 884759 a prime number?
False
Is 3163 composite?
False
Is 211405 a composite number?
True
Is 2354039 a composite number?
False
Is 548299 composite?
True
Is 132329 composite?
False
Is 4559 prime?
False
Is 202153 a prime number?
False
Is 41793 composite?
True
Is 3190789 composite?
True
Is 110365 a prime number?
False
Is 203201 a prime number?
False
Is 34781 a composite number?
False
Is 3197 a composite number?
True
Is 5519 a composite number?
False
Is 155579 composite?
False
Is 24693 prime?
False
Is 13019 composite?
True
Is 546173 composite?
False
Is 91753 a composite number?
False
Is 32822 prime?
False
Is 1939 a composite number?
True
Is 687887 a prime number?
False
Is 29177 prime?
False
Is 7375319 prime?
False
Is 753991 a prime number?
False
Is 285547 a composite number?
True
Is 12373 a prime number?
True
Is 1914569 composite?
False
Is 414259 composite?
False
Is 907 prime?
True
Is 37579 prime?
True
Is 379261 a prime number?
False
Is 3163 prime?
True
Is 8465 prime?
False
Is 97919 prime?
True
Is 828889 a prime number?
True
Is 15815 composite?
True
Is 84179 prime?
True
Is 34783 a prime number?
False
Is 30161 prime?
True
Is 851 prime?
False
Is 64299 composite?
True
Is 7939 composite?
True
Is 20841 composite?
True
Is 289511 a prime number?
True
Is 40693 a prime number?
True
Is 9047 a composite number?
True
Is 6407 prime?
False
Is 73591 a composite number?
True
Is 1707 a prime number?
False
Is 26337 a composite number?
True
Is 130883 a prime number?
False
Is 2743 composite?
True
Is 5603 composite?
True
Is 9574 a composite number?
True
Is 25689 a composite number?
True
Is 16273 prime?
True
Is 61715 composite?
True
Is 171131 a composite number?
False
Is 14923 a composite number?
False
Is 115189 composite?
True
Is 389627 prime?
False
Is 18989 a composite number?
True
Is 200813 prime?
False
Is 15013 a composite number?
False
Is 1171 a prime number?
True
Is 161885 a composite number?
True
Is 365303 prime?
True
Is 454 prime?
False
Is 1438379 a composite number?
False
Is 583 a prime number?
False
Is 489389 a composite number?
False
Is 10223 a prime number?
True
Is 2733538 prime?
False
Is 5983 a prime number?
False
Is 136339 composite?
True
Is 7069 prime?
True
Is 139474 composite?
True
Is 177127 a composite number?
False
Is 1882553 a prime number?
False
Is 6359 prime?
True
Is 197233 a composite number?
False
Is 57883 prime?
False
Is 11405 a prime number?
False
Is 6991 a composite number?
False
Is 145511 a composite number?
False
Is 541391 prime?
True
Is 20249 prime?
True
Is 1811 a prime number?
True
Is 293 prime?
True
Is 203 prime?
False
Is 1541051 prime?
True
Is 357031 a prime number?
True
Is 437191 a prime number?
True
Is 69565 composite?
True
Is 38683 composite?
True
Is 4327 a composite number?
False
Is 36263 a prime number?
True
Is 62273 a prime number?
True
Is 3389 a composite number?
False
Is 616481 prime?
True
Is 238949 a composite number?
False
Is 40241 composite?
False
Is 64399 prime?
True
Is 3511 composite?
False
Is 272533 prime?
True
Is 4487047 prime?
False
Is 659 prime?
True
Is 71501 prime?
False
Is 110137 a prime number?
False
Is 12367 a prime number?
False
Is 698069 a prime number?
False
Is 499 a prime number?
True
Is 1064229 a composite number?
True
Is 127931 prime?
True
Is 5599 a prime number?
False
Is 500519 prime?
True
Is 25663 composite?
True
Is 281971 a composite number?
False
Is 39029 composite?
True
Is 4954 composite?
True
Is 732023 a composite number?
False
Is 129323 a composite number?
True
Is 3611951 a prime number?
False
Is 8543549 prime?
False
Is 52729 a composite number?
True
Is 6947 composite?
False
Is 1901 a prime number?
True
Is 6421 a composite number?
False
Is 72951 composite?
True
Is 477151 a prime number?
False
Is 601177 a prime number?
False
Is 263863 prime?
True
Is 159283 a prime number?
False
Is 682901 a prime number?
True
Is 29527 a composite number?
False
Is 7715 composite?
True
Is 826473 composite?
True
Is 26237 a composite number?
False
Is 9881 composite?
True
Is 3943 prime?
True
Is 79 a composite number?
False
Is 2153915 a composite number?
True
Is 40961 a prime number?
True
Is 30757 a composite number?
False
Is 25819 prime?
True
Is 175891 prime?
True
Is 18299 a composite number?
True
Is 3830303 prime?
True
Is 317921 a composite number?
False
Is 33599 a composite number?
False
Is 150497 a composite number?
False
Is 22757 a composite number?
True
Is 84047 prime?
True
Is 3821 composite?
False
Is 2126 composite?
True
Is 18923 a composite number?
True
Is 29171 a prime number?
False
Is 830731 a composite number?
True
Is 32969 prime?
True
Is 23347 a prime number?
False
Is 91 prime?
False
Is 13217 a prime number?
True
Is 4077439 a prime number?
True
Is 1020898 prime?
False
Is 11923 a composite number?
False
Is 43063 a composite number?
False
Is 8101 prime?
True
Is 5923 a composite number?
False
Is 12778 prime?
False
Is 35723 a composite number?
True
Is 147473 composite?
True
Is 558661 a composite number?
False
Is 471641 prime?
True
Is 44401 composite?
True
Is 11995 prime?
False
Is 249377
|
{
"pile_set_name": "DM Mathematics"
}
|
4*d**2 - 16*d + 22. Let w be n(5). Is 41 > w?
False
Let g = 3271/9 - 363. Suppose 3*n - 3*s = 6, 5*n - s - 1 = -5*s. Are g and n equal?
False
Let q = 553.08 - 553. Suppose 3*l - l = 4. Is q != l?
True
Let o = 32 - 80. Let u be ((-50)/90)/((-46)/o - 1). Is u equal to 2/7?
False
Let z be (0 + 1)/(4/12). Suppose -5*l = z*x + 16, -2*l - 3*l = 25. Suppose -c + 3*i = 7*i, -x*i = 0. Is -1 > c?
False
Let s(j) = -j**2 + j + 1. Let u be s(3). Let r = 0 - u. Let z(q) = q**3 - 6*q**2 + 5*q. Let t be z(r). Is -1/4 >= t?
False
Let f be 8 - 12 - (-2 - 16/6). Is -116 not equal to f?
True
Let u be (30/600)/((-4)/270). Is -2 > u?
True
Let t be (-1696)/(-4040) + 4/(-10). Let a = -152/2525 - t. Let q be -4 + 3/((-3)/12*-4). Which is bigger: a or q?
a
Let n(t) = -t**2 + 5*t + 6. Let q be n(4). Let j be (1/156)/(q/(-4) - -3). Which is greater: 0 or j?
j
Let x(y) be the third derivative of -y**6/120 - y**5/15 + y**3/2 - 9*y**2. Let w be x(-4). Which is smaller: 5 or w?
w
Let o = -601451 - -13226555/22. Let q = o - -244. Is q greater than or equal to 0?
True
Let f = -44.5 + 24.4. Let h = f - -20. Which is smaller: h or 12?
h
Suppose -6*w + 2*w + 2*m + 174 = 0, 207 = 5*w + m. Let d = 113 - w. Which is bigger: 72 or d?
72
Let x = -0.1 - -0.2. Let m = -0.1 + x. Let z = 158/5 + -157/5. Is z > m?
True
Suppose -26 = -42*d + 100. Let m = 0 + 0.4. Which is bigger: d or m?
d
Let b = 1165 - 1165. Is b at least as big as -4/881?
True
Let k be -62 + (-2 + 2)/(-2). Let h = -18080 + 18017. Is h > k?
False
Let r = -32 + 29. Suppose -2*u - 3 = 5. Is u at least as big as r?
False
Let y = -859 + 441. Which is greater: -2/5 or y?
-2/5
Let h = 38 - -9. Suppose -50 = -5*q + 3*q - 2*t, h = 2*q + 3*t. Let x = q + -85/3. Is x greater than 0.4?
False
Suppose o = -4*h + 20, -6*o + 8 = -o - 3*h. Suppose 97 = 2*c + 5*r, -c - o*c + 330 = -5*r. Which is smaller: c or 60?
60
Let g(r) = 18*r - 73. Let p be g(4). Which is smaller: p or 0?
p
Let i = 12.32 - 13.92. Suppose 3*u = 3*j, -j - 2*u + 0*u = 0. Which is smaller: i or j?
i
Let x = 251 + -796. Which is greater: x or 0.1?
0.1
Let s = -12 + 10. Let h = 33/440522 + -2113717187/1236545254. Let o = h + -2/401. Are s and o non-equal?
True
Let g = -599 + 488. Is 3 not equal to g?
True
Suppose 5*p - n = 4, -5*p + 2*n - 1 = -4. Suppose p = -0*r - r. Let u = -26/7 + 404/105. Which is bigger: r or u?
u
Let s = -1.093 - -0.093. Let a be (-9)/(-15) - (-2)/(-4). Is s at least as big as a?
False
Let t be ((-1)/(-3))/(23/(-4002)). Which is smaller: -43 or t?
t
Let y = 991.4 + -1025. Is y smaller than -1/3?
True
Let n = -147.6 - -147.7. Which is smaller: n or -0.0053?
-0.0053
Let d = -369 - -400. Which is smaller: d or 29?
29
Suppose 0 = -4*f - 25 + 25. Let y = f - -1. Is y != 1?
False
Let v = -193.7 - -13.7. Is -1/2 greater than v?
True
Let d = 25 - 25. Let r be 3/(-1) - (-2 + 0 - -1). Is r at most d?
True
Let s = -2325 + 2316. Is -0.05 less than s?
False
Let u(v) = -36*v**2 - 1. Let g be ((-2)/(-7) - -1) + 10/(-35). Let r be u(g). Is r less than or equal to -37?
True
Let v = -3845/4 + 967. Let a = -445/76 + v. Which is bigger: a or 0?
0
Suppose 0 = 13*r - 18*r - 5. Let d(k) = 2*k**3 + k**2 + 5*k + 4. Let o be d(-3). Let v be (-63)/o*2/(-3). Which is smaller: r or v?
r
Let d = 10/251 - 13664/2761. Which is smaller: -4 or d?
d
Suppose -h = -1, -603 = 2*y + 3*h - 4*h. Let k = -6341/21 - y. Let z = k + 2/3. Is z greater than 0?
False
Suppose 35*l = 21*l + 1708. Which is greater: l or 121?
l
Suppose 8*z - 5*z - 25 = r, -4*r = -3*z + 100. Let w be -1*(-3 + 28/10). Is r bigger than w?
False
Let l(k) = -6*k**2 + k - 10. Let h be l(4). Let n = h + 108. Is n greater than -6?
True
Let n = -9 + 31. Let q = n - 20. Which is smaller: q or 8?
q
Suppose 0 = -10*w + 76 - 6. Suppose 3*c - 27 = 6*c. Let m = w + c. Is m != 1?
True
Let l = -1 + 1.11. Let s = 1.49 - 1.4. Let o = s + l. Which is smaller: 6 or o?
o
Suppose 2*i - 31 = -57. Let v(o) = o**3 + 12*o**2 - 14*o - 10. Let m be v(i). Is m equal to 11/6?
False
Let d = -23283/5 - -160121/35. Which is smaller: d or -82?
-82
Let r = -120 + 121. Let o = -433/6 + 72. Which is bigger: r or o?
r
Let a = 2147/5395 + -29/65. Which is smaller: a or -1?
-1
Let x(h) = 5*h**3 - 3*h**2 + h + 3. Let d be x(-1). Is -3/10 >= d?
True
Let g = 0.01 - 0.41. Let s = -101.99 - -101.9. Which is greater: s or g?
s
Let x = 41 + -52. Let s = x - 11. Is -22 < s?
False
Let l be (0 + (-6)/(-12))*2. Is l != -2/103?
True
Let v be 0/1 + (-12)/(-780)*13. Which is greater: v or -29/3?
v
Let d = -2 + 2.08. Let t = d - 0.2. Let g = t + 0.09. Is g <= 0.2?
True
Suppose 0 = 2*t - o + 17, -2*t + 5*o = -0*o + 37. Let c be (-222)/(-4)*(-3)/t. Let l = 28 - c. Which is smaller: l or -2/31?
-2/31
Let j = 66 - 66. Suppose j*n = -5*n + 130. Which is smaller: n or 27?
n
Let c(g) = -15*g + 6*g**2 - 20*g**2 - 12 + g**3 + 11. Let j be c(15). Do -20 and j have the same value?
False
Suppose -4*n - 2*p + 3624 = 0, 3*p + 3230 = 5*n - 1278. Let o = 20789/23 - n. Is 0 at least as big as o?
True
Let m = 2293.038 + -2291. Let q = 0.038 - m. Is -2 < q?
False
Let s(f) = f. Let z be s(1). Let c be -2 + z/2*2. Let h = -1/4766 - -2387/19064. Which is greater: h or c?
h
Suppose -3*z = -3, -18*f = -19*f + 4*z - 11. Suppose -i = -0*i + 8. Is i greater than f?
False
Suppose -3*s + 64025 = -48820. Let f be (s/(-50))/(7/2). Let g = 215 + f. Is g equal to 1?
False
Let m = 9 - 5. Let c be (-668)/52 - m/26. Are c and -12 equal?
False
Let m = 121 - -10. Which is bigger: m or 130?
m
Let o be ((16/2310)/4)/((-609)/3045). Is -1 at least as big as o?
False
Let a = -12 + 0. Let y = a + 12. Let d = 5/3 + -7/6. Is d less than or equal to y?
False
Let o be 59/295*(1 + 393/(-148)). Let h = 3/37 + o. Which is bigger: h or -23?
h
Let g = -470/3441 + 8/111. Which is bigger: -2 or g?
g
Let i = -9.6 + 10. Let l be (-3 - (-124)/40)/((-10)/(-25)). Is l != i?
True
Suppose 0 = -4*o - 4*a + 24, -24 = o + 3*a - 8*a. Is o greater than -1/438?
True
Let i = 55 - 51. Suppose 3 = i*x - 1. Which is bigger: 1/2 or x?
x
Let k = 12 + -10. Let d be 0/2*k/(-4). Suppose d*n - 22 = 2*n. Is n <= -11?
True
Let w(b) = b**3 + 39*b**2 - 40*b - 2. Let u be w(-40). Which is bigger: -0.12 or u?
-0.12
Let z(b) = -2*b - 18. Let t be z(-11). Let u be (4/(-10))/(t/5). Let v be (0 - 1) + (2 - 2). Is v equal to u?
False
Let r(l) = l - 5. Let q be r(13). Let t(j) = j - 2. Let m be t(q). Let s be -2*m*(-4)/6. Which is greater: s or 7?
s
Suppose -68*g + 3 = -65*g. Let n(d) be the first derivative of d**4/4 + d**3/3 - d**2/2 + 2. Let l be n(-1). Is g > l?
False
Suppose 0 = -5*u - 2*l, -2*u - 5*l - 8 = 13. Let f be u/(-8) + (-161)/92. Let z = -9 + 5. Which is smaller: f or z?
z
Suppose 2*i - 6*i = -16. Let w(q) = 3*q - 10. Let g be w(i). Is g less than -0.4?
False
Let o = 186 + -191. Which is smaller: o or 49?
o
Let o = 555 - 549. Let t = -91 - -37. Let y be (-8)/6*t/12. Is y greater than o?
False
Let m = 231 - 268. Is 1/3 at most m?
False
Suppose 18 - 5 = -13*z. Which is smaller: z or -3/17?
z
Let d be (-2)/(8/(-20))*1. Let n be (45/2)/((-23)/(184/(-48))). Is n greater than d?
False
Let p(f) = 4*f + 3. Let r be p(4). Let j(n) = -n**2 - 7*n + 18. Let c be j(-7). Do r and c have the same value?
False
Let n = -22009/7 + 3160. Let f = -1429/91 + n. Which is smaller: 0.2 or f?
f
Let h be ((-18)/54)/((-2)/(-84)). Is h > -13?
False
Let i be 6/9 - (5 + 100/(-12)). Which is smaller: i or 23?
i
Let o be 9/(-6)*(-376)/12. Suppose 5*c + 17 - o = 0. Let y be (-2)/3*c/4. Are y and -1/8 non-equal?
True
Let j = 61 - 52. Let s be 284/(-18) + (-2)/j. Are s and -16 non-equal?
False
Suppose -2*f + 287 = 3*r, -202 = -2*r - 2*f + 6*f. Which is smaller: r or 96?
96
Suppose -3*k + 3*m + 26 - 5 = 0, 2 = -4*k - 2*m. Suppose -19 = -k*u + 5. Suppose 2*l + 4 = u. Does l = -0.3?
False
Suppose -v - 2*b = -1, 0 = v - 5*v - 3*b + 4. Let t be (2 - 1) + 0 - (v - 26). Which is bigger: t or 25?
t
Let j = -8 + 8.1. Let f = -0.97 + 0.9. Let r = 1.37 + f. Which is smaller: j or r?
j
Let r(d) = 5*d - 7. Let a be r(2). Suppose t - 9 = 3*j, 2*j - 5*t + 13 = a*j. Let h be (-302)/(-18) - j/9. Is h < 17?
False
Let a = 0.47 + 12.03. Let s = a + 1.5. Let n = s + -17. Is n smaller than -1/5?
True
Let g be 8/(-6) - 1371/(-9). Let s = 601/4 - g. Let a = 5/6 + s. Is 0 equal to a?
False
Let s(c)
|
{
"pile_set_name": "DM Mathematics"
}
|
dreds digit of i(-15)?
7
Suppose 6*s + 4*s = 30. Suppose -920 = -s*j - 89. Suppose 0*h + 549 = 4*k + h, h - j = -2*k. What is the hundreds digit of k?
1
Suppose -3495 = -9*i + 9870. Suppose -36*t + i = -33*t. What is the tens digit of t?
9
Let l(y) = y**3 + 34*y**2 + 5*y - 26. What is the thousands digit of l(-26)?
5
Let u(a) = -37*a - 31. Let f be u(-6). Suppose -o - 3*z + 45 = 0, -z - z = -5*o + f. What is the tens digit of o?
3
Let s = 165409 + -108645. What is the thousands digit of s?
6
Let c(o) = -o**3 - 4*o**2 - 3*o + 2. Let y be c(-3). Let l(v) = -v - 2*v - 10*v**2 + v**2 + 10*v**y. What is the units digit of l(5)?
0
Suppose -12 = -542*w + 539*w. Suppose w*k = 2726 - 854. What is the units digit of k?
8
Suppose -45*j = 11*j - 503726 - 861946. What is the tens digit of j?
8
Suppose -98*t = -97*t + 13. Let k be (-11 - t)*((-9)/2)/(-3). Suppose 203 = 4*j + k*a, 2*a + 8 = -j + 65. What is the tens digit of j?
4
Let d = -225 - -485. Let m = -11 + d. Suppose 2*x - m = -x. What is the tens digit of x?
8
Let n be (417/2)/((-6)/((-240)/4)). Let c = n + -1357. What is the hundreds digit of c?
7
Suppose 6*j - 622 = 1046. Let q = 788 - j. What is the hundreds digit of q?
5
Let z = 36 + -34. Let w be 8/((-8)/z) - 149. Let u = w - -227. What is the tens digit of u?
7
Let y(i) = i + 17. Let f be y(-14). Let q(v) = -2 + 0*v**3 - 2*v**f - v**3 + 0*v**3. What is the units digit of q(-2)?
2
Let t = -61 - -63. Suppose -t*w - k = -47, -4*w - 3*k + 45 = -52. Let v = 122 - w. What is the tens digit of v?
0
Suppose 4*x = 2*p - 9870, 115*p - 111*p - 19728 = -4*x. What is the tens digit of p?
3
Let g(k) = 28*k - 12. Let r be g(-3). Let m be 14/4*r/(-84). What is the units digit of (m/(-5))/(8/(-1360))?
6
Let d(h) = 2*h**2 - 63*h - 29. Let x be d(32). Suppose j - 5*u = 121, x*j - 6*u + 3*u - 303 = 0. What is the units digit of j?
6
Suppose -976 = -5*l + 714. Let q be (-96)/(-224) - 179/(-7). Suppose -28*z + q*z = -l. What is the tens digit of z?
6
Suppose 0 = 2*f - 4*z + 2, 4*f - 6*f = 3*z + 2. What is the units digit of (-9 - 0) + 1097 - (-1)/f?
7
What is the thousands digit of 970255/275 - 3/15?
3
What is the units digit of 780/18*(88352/80 + -4)?
4
Suppose -3*f = -c - 7, 0 = c + c - 2*f + 2. Suppose 3*q + 4*x = -30, -c*q - 2*x - 19 = -1. What is the units digit of -6*3/q + 233?
6
What is the tens digit of (-10)/(-55) - (9/(-18))/(11/42610)?
3
Suppose -1200 = 5*p + 45*p. What is the hundreds digit of 392/3*(-54)/p?
2
Suppose -2*f + i - 8 = -3*f, 2*f = i + 4. Let t(x) = -9*x + 0*x**2 + 2*x**2 - f + 4*x**2 - x**2. What is the tens digit of t(5)?
7
Let w(c) be the third derivative of -c**6/120 - c**5/10 - 3*c**4/4 + 7*c**3/3 - 46*c**2. What is the hundreds digit of w(-8)?
2
Suppose -111451 = -15*m + 276269. What is the hundreds digit of m?
8
Suppose -11*m + 73 = -81. What is the units digit of (m/21)/(4/4800)?
0
Suppose -24 = -3*d, -453*d + 456*d - 55868 = -4*w. What is the ten thousands digit of w?
1
Suppose -13*c + 460 = -9*c. Let r(x) = -2*x**2 + 15*x + 14. Let f be r(11). Let d = c + f. What is the units digit of d?
2
Let l be (-3)/4 + (-2 - (-21615)/(-44)). Let a = -228 - l. What is the tens digit of a?
6
Let h(q) = -11 + 6*q**2 - 73*q**3 + 140*q**3 + 47*q - 29*q**2 - 66*q**3. What is the hundreds digit of h(22)?
5
Suppose 2*b - 2 = 0, p + 6*b + 1 = 3*b. What is the thousands digit of ((p - -5) + 466)*4/1?
1
Let u = -255 + 249. Let q(t) = 11*t**2 - 2*t + 5. What is the units digit of q(u)?
3
Suppose -12245 = -8*y + 2051. What is the hundreds digit of y?
7
Let m be 1/1 - (13 - 1322). Suppose -2*j = -5*g - 1310, 0 = -2*j + 7*g - 12*g + m. What is the tens digit of j?
5
Let c(s) = 20*s**2 - s - 40. Let w be c(7). Suppose 4*z = w - 169. What is the units digit of z?
1
Let l(z) = -3*z + 14. Let y be l(-9). Let v = -2 + 5. Suppose 2*b + 3*k = y, -4*k = b - v*b + 34. What is the tens digit of b?
1
Let t be (-560)/266 - (-4)/38. What is the hundreds digit of (t + (-18)/12)*-284?
9
Suppose o + 107 = -2*p, -209 = 4*p - 2*o - o. Let n = 58 + p. Suppose -n*x = 2*u - 14, -5*u + 0*u + 5*x = 0. What is the units digit of u?
2
Suppose -18 = 3*v, 78*s - v - 48480 = 75*s. What is the ten thousands digit of s?
1
Suppose 0 = 472*p - 733*p + 11976768. What is the hundreds digit of p?
8
Let j(t) = -t**2 - 18*t - 59. Suppose s - 5 + 25 = -2*o, -4*s = 2*o + 8. What is the tens digit of j(o)?
1
Let z = -304 + 324. Suppose 2 = o, -z*n + 194 = -18*n - 2*o. What is the units digit of n?
9
Let f = 193 - 189. Suppose -4*w + 3*v + 2085 = -w, 2756 = 4*w + f*v. What is the hundreds digit of w?
6
Suppose 2*o + 4*k - 736 = 0, -4*o - 2*k + 1508 = -3*k. Suppose 0 = -8*i + 928 + o. Let b = i + -24. What is the hundreds digit of b?
1
Suppose -2*k - 49*z + 17514 = -53*z, 0 = -5*k - 5*z + 43710. What is the thousands digit of k?
8
Let f(x) = 114*x**2 - 11*x + 18. Suppose j + 2*q = 3, 3*j + 2*q - 4 = 5. What is the thousands digit of f(j)?
1
Let x(r) = 6*r**2 + 6*r - 53. Let k be x(0). Let p = 30 + 29. Let u = p + k. What is the units digit of u?
6
Let c = 23 + -16. Suppose c*z - 8*z = -2. What is the tens digit of (-262)/(1 + -3) + 2/z?
3
Suppose 0 = j - 4*w + 24, -3*j + 4 = w + 11. Let f be j/((-900)/(-453) - 2). Suppose 0 = -2*p - 104 + f. What is the units digit of p?
9
Let x = -174 + 163. Let p(u) = -50*u - 232. What is the units digit of p(x)?
8
Let q(m) = 11*m - 72. Let k be q(8). Let j(n) = n. Let w(u) = 15*u - 8. Let d(g) = -6*j(g) + w(g). What is the units digit of d(k)?
6
Let k(d) = -19*d + 133*d + 30*d. Let b be k(1). Let v = 215 - b. What is the units digit of v?
1
Let b(j) = 78*j**2 - j. Let k be 2/5 + (-161)/(-35). Suppose 7 = 3*o - 5*m, 3*o - 2*o - k*m = 9. What is the tens digit of b(o)?
7
Let p be (3 - 5) + (-297)/(-9). Suppose -p = d - 2*d. What is the tens digit of d?
3
Suppose 7228 = 5*d - 34*o + 31*o, 5*o = 5*d - 7230. What is the thousands digit of d?
1
Let r = 3969 + 13093. What is the units digit of r?
2
Let i(m) = m**2 + 2*m - 11. Let o be 3 + -16 + 4 + 4. Let c be i(o). What is the tens digit of 0 - (c/(-5))/(26/3575)?
1
What is the thousands digit of 27650 + (-31)/(341/(-231))?
7
Let f(a) = 128*a**2 - 66*a - 9. What is the tens digit of f(-10)?
5
Let h = -4816 + 11541. What is the hundreds digit of h?
7
Let f(a) be the third derivative of -a**6/120 - a**5/20 + a**4/12 + 2*a**3/3 - 8*a**2. Let p be f(-3). What is the units digit of p/(-9) + 305/45?
7
Suppose -368 = -15*l - 8*l. Suppose 13*w = l*w + 3*d - 1962, 0 = -2*w - d + 1309. What is the units digit of w?
5
Let m = 809 + -1082. What is the units digit of (-20305)/(-21) + (-26)/m?
7
Suppose -d + 17575 = -3*z, 1431*d - 2*z - 17572 = 1430*d. What is the ten thousands digit of d?
1
Let m(b) = 4*b + 4. Let h be m(-4). Let q be 5/(-1)*1274/(-455). What is the units digit of 24/q - h/42?
2
Let p = 29411 + -10533. What is the tens digit of p?
7
Let j = -32100 + 47717. What is the units digit of j?
7
Suppose -7*j - 74 - 66 = 0. Let m = j - -22. Suppose -m*b + 194 = -5*q, 3*q = -3*b + q + 253. What is the units digit of b?
7
Let x(l) = l**2 - l. Let t be x(-2). Let s be (-2 - (-14)/t) + 868/(-12). Let v = 112 + s. What is the tens digit of v?
4
Let h(w) = -w**3 + 34*w**2 - 59*w - 424. What is the hundreds digit of h(30)?
4
Suppose -4*u - 380 = 8*w - 3*w, w = -2*u - 70. Let c = 166 - w. What is the tens digit of c?
4
Let y(f) = -13*f**2 + 19*f + 11. Let g be y(6). Let r = g + 1062. What is the tens digit of r?
1
Suppose 733 = -208*y + 209*y + 3*n, -3*y = -2*n - 2254. What is the units digit of y?
8
Let f = 9900 + -6237. What is the tens digit of f?
6
Let a = -15340 - -25125. What is the tens digit of a?
8
Suppose -6*g - 8 = -7*g. Let a be 2/g*40/10. What is the units digit of (23*a)/(18/108)?
8
Suppose 0 = -119*d + 71*d + 363979 + 647957. What is the thousands digit of d?
1
Suppose -5*k + 5*w + 199815 = 0, k + k - 79936 = 4*w. What is the thousands digit of k?
9
Let h = -183 + 185. Suppose -h*p + 3*u + 43 = -326, p = 4*u + 192. What is the hundreds digit of p?
1
Suppose -65700 - 24837 = -3*u - 3*h, 2*h = 3*u - 90542. What is the tens digit of u?
8
Let i = 87 + -66. Let d be i/(-35)*(-10)/2. Suppose 0 = d*s + 44 - 602. What is the units digit of s?
6
Let f = 33474 + -14818. What is the hundreds digit of f?
6
Let s(u) = u - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
ferent values?
True
Suppose 3*r + r = 36. Suppose 5*j - r = 4*a, -2*a - 2*a = 4. Which is smaller: -1/6 or j?
-1/6
Let o = -0.227 - -1.227. Is o greater than -2/9?
True
Let u(z) = 1 - z**2 + 0*z**2 + 0*z - z. Let r be u(-2). Let l be (-315)/(-329) - (1 - 0). Which is greater: l or r?
l
Suppose -9*r = -2*u - 4*r - 1711, 2*r - 856 = u. Do u and -858 have different values?
False
Let f be ((-2)/3)/(6/(-108)). Let v = -11 + f. Let a be ((-2)/4)/(v/12). Which is greater: -7 or a?
a
Let f = 7 + -5. Let d(m) = -m**3 + m**2 + m + 2. Let u be d(f). Let p be 0 + 5 + -4 + u. Is -3/17 greater than p?
False
Let a = -221 - -219.77. Let w = a - -0.93. Do w and -0.07 have different values?
True
Let y = -754 + 753. Do y and 2/589 have the same value?
False
Let h be -15 + 342/24 - (-274)/408. Which is greater: h or 2?
2
Let w(p) = p + 2. Let q be w(7). Let x be (0 - 6)/(q/(-12)). Are 6 and x equal?
False
Let q = -638 - -638.45. Is 2 at most q?
False
Let x be (1/2)/(7/196). Is 26 greater than or equal to x?
True
Let c = -20759684/57 + 363876. Let y = 329 + c. Which is bigger: y or 1?
1
Let b be ((-6)/3)/((-16)/72). Is 168/17 greater than b?
True
Suppose -2*o + 3*n = 16, 0 = -o + 6*n - 4*n - 10. Let u be o/(12/(-9)*-1). Suppose -124*y - 15 = b - 128*y, -3*b - 3*y = 0. Which is smaller: u or b?
b
Let p(b) = 7*b**2 - b - 2. Let v be p(2). Let t = v - 22. Is t > 3?
False
Suppose 1596 = -22*q + 25*q. Which is smaller: q or 533?
q
Let q be 1/9 - 196/(-2772). Which is greater: q or -1?
q
Let s = -138 - -107. Is s >= -31?
True
Suppose 2*t - 6*t - 8 = 0, 5*w - 8 = -t. Suppose -3 = -5*z - 3*f + 11, 0 = w*z + f - 5. Is 1/71 > z?
False
Let p(g) = -g**2 + 18*g - 19. Let b be 5*((-7 - -2) + 8). Let n be p(b). Is n at most 28?
True
Let p(m) = -30*m + 56. Let q be p(2). Which is greater: q or -58/11?
q
Let i = 61 + -62. Let s be 1 + -1 + 3/12. Is i < s?
True
Let x(i) = 4*i - 31. Let f be x(-6). Let m = 57 + f. Are m and 8 non-equal?
True
Let q = 37.29 - 39.2. Let i = q - -0.21. Let r = i + 1.5. Is r at most as big as -2/15?
True
Suppose 3 = -c - 3*c + 3*v, 2*c + 4*v = 4. Let g = 24 - 16. Suppose 0 = -5*r + y + 2, -2*r - g = -r - 3*y. Are c and r equal?
False
Let v(n) = -n + 1. Let y be v(-2). Let m be 4 + (-15)/y + 4. Suppose -3 = -m*g + 3. Is 1 smaller than g?
True
Let o be 7 - (3/9)/(1/(-3)). Let s(q) = -q**3 + 6*q**2 - 4*q + 5. Let j be s(5). Is o bigger than j?
False
Let a(c) = -2*c**3 + 8*c**2 + 24*c - 1. Let o be a(6). Is 1/1130 bigger than o?
True
Suppose 3*k - 1 = -l + 4, 4*l = -k + 20. Suppose -f - o = -k*f - 2, 6 = 2*o. Is f bigger than 1?
False
Let x = -32 + 37. Suppose a + 17 = -x. Which is smaller: -19 or a?
a
Suppose 200 = 2*f + 3*f. Let a be (-1)/(-3) + f/(-30). Let i = -4 + a. Is 0.2 at most as big as i?
False
Let g(h) = 2*h - 15. Let j(x) = 4*x - 31. Let n(z) = -11*g(z) + 6*j(z). Let o be n(13). Is o smaller than 5?
False
Suppose 0 = 3*d + 1 - 4. Suppose -5*o - 2*i + 6 = 0, 4*i = 4*o + 9 + 3. Is d at most o?
False
Let c be 2/18*(215/15 + -5). Do c and 2 have different values?
True
Suppose 5*u = -2*f - 579 - 6699, -2*u - 2912 = f. Which is greater: -1455 or u?
u
Let w = 139 - 138.9. Which is greater: w or 3.16?
3.16
Let p be (-782)/(-1785) + (-2)/(-15). Let v = p - 19/21. Is 0 > v?
True
Let f(q) = -q**2 + 9*q + 18. Let a be f(11). Let c be a/(-84)*1*6. Let g(l) = l**3 + 4*l**2 - 4*l + 4. Let b be g(-5). Is b at least as big as c?
False
Let o(u) = u**2 + 11*u + 23. Let n be o(-8). Let b = 1/2 + -11/10. Is b less than n?
False
Let u be -6*(3 - 129/6). Suppose u + 97 = -13*a. Which is bigger: a or -17?
a
Let c = 112 + -124.91. Let k = c - 0.09. Let w = k + 12. Which is bigger: 2 or w?
2
Let k = -51.9 - -49. Let w = -75 + 66.1. Let j = k - w. Which is bigger: j or 2/7?
j
Suppose -9*y + 217 - 46 = 0. Is y > 20?
False
Let z(d) = -d**2 + 5*d - 10. Suppose -3*i = -9 - 6. Let o be z(i). Which is smaller: o or -2?
o
Let a be ((-287)/14)/((-3)/(-2) + -2). Let v = a + -41. Is -4 bigger than v?
False
Let o(w) = -2*w + 1. Let v be o(-1). Let h(y) = y**3 - 4*y**2 + 3*y + 4. Let k be h(v). Let c be (-4*(-1)/k)/(-1). Are 2 and c nonequal?
True
Let n = -15.0271 + 0.0271. Are 3 and n non-equal?
True
Let a = -2/2301 - -10744/6903. Which is greater: a or 3?
3
Let m be 1/((-17)/(-9) - 2). Let i = -0.0076 + -0.9924. Are i and m unequal?
True
Let s = -28.3 + 23. Let w = s - -8.2. Let v = 2.7 - w. Is 0.07 >= v?
True
Let n = -698 + 60727/87. Which is smaller: 1 or n?
n
Let c be ((-5)/(140/(-904)))/1. Let i = c - 32. Which is smaller: i or -2/9?
-2/9
Let j = 1.91 + -1.85. Which is smaller: 24 or j?
j
Let w = -10/117 + 133/1404. Suppose 25*c - 22*c = 3. Is w at most as big as c?
True
Suppose -5*n = -3*h - 22, 0 = -n - 0*h - h - 2. Suppose -5*i + 76 = -4*b, -i + 38 = -n*b + i. Is b < -18?
True
Let z = -457 + 491.7. Let l = z - 35. Which is bigger: 1/4 or l?
1/4
Let g(v) = 3*v + 14. Let z(a) = a**2 - 7*a + 2. Let r be z(4). Let t be g(r). Which is greater: -29/2 or t?
-29/2
Let y = 219 + -166. Let v be (18/(-72))/(1 - 54/y). Which is bigger: 12 or v?
v
Let o = 39 - -17. Let k = -59 + o. Let y = -4 + 1. Is k smaller than y?
False
Let o = -35 + 35.15. Let t = o - 0.05. Is t > -6/5?
True
Suppose c - 5*c = 32. Let g = c + 9. Which is greater: 3 or g?
3
Let k = 108.64 + -109. Let g = 0.26 + k. Which is bigger: -11 or g?
g
Let b = -0.39 + -0.61. Let i(v) = 6 + 6 - 6 - v. Let t be i(6). Which is smaller: t or b?
b
Suppose 3*t = -13 - 20. Let c = t + 13. Let h = 7 + -6. Does h = c?
False
Let t(q) = -3*q - 37. Let y be t(-11). Let s be 1/y*-1 - (-3)/(-12). Do 3/20 and s have different values?
True
Suppose 106*g - 876 = 107*g. Which is bigger: g or -874?
-874
Let s = -2.5 + 0.5. Let v = 2 + s. Let g = -192 + 194. Which is smaller: g or v?
v
Suppose -2*w - 77 = -19. Suppose 34 = -f + m, 2*f = 2*m - 7*m - 40. Is f at most w?
True
Suppose 4*m + 39 = 3*v - 4, -3*v - 2*m = -37. Suppose v = 5*z + 103. Let n be 189/z*(-8)/(-6). Is -14 at most n?
True
Let k(i) be the first derivative of -i**3/3 - 5*i**2/2 - 6*i + 15. Let n be k(-2). Let u = -3032/2535 - 2/507. Which is smaller: u or n?
u
Let j = 12 - 34. Is -25 greater than j?
False
Let f be (-3)/(-6) + (-17)/(-13). Let v = f + -4/13. Which is smaller: 1 or v?
1
Let d = 74 + -39. Let c = -36 + d. Is -2/9 greater than c?
True
Let l(o) = -o + 1. Let c be l(-6). Let w = c + -6. Which is smaller: w or -2/25?
-2/25
Let y be (((-20)/48)/(10/(-6)))/((-25)/760). Let p = 6 + -13. Is y less than p?
True
Suppose -4*l + 234 = -3*s, -2*l + 186 = l + 3*s. Let p = l + -56. Which is bigger: 0 or p?
p
Suppose 0 = -5*z + 2*z + u + 887, -16 = -4*u. Is 3 at most as big as z?
True
Suppose 0 = -u + 2, -4*f - 2*u = -0*f - 32. Let o be 24/(-210) - 2/f. Suppose -4*l = l, -4*l = -r - 1. Is o at least as big as r?
True
Let t = 1909 + -1835. Is t != 6?
True
Let q = -62 + 42. Let s = 18 + q. Do -2/3 and s have the same value?
False
Let w(v) = v**3 + 9*v**2 - 9*v + 13. Let h be w(-10). Suppose -9 = -3*f + h*n, -2*f = -f - 5*n - 19. Which is bigger: -3/7 or f?
-3/7
Let a(o) = -2*o**3 + 8*o**2 - o + 2. Let p be a(4). Let t(w) = w**3 + 7*w**2 + 7*w + 6. Let g be t(-6). Let s be g/(-5)*p/(-4). Are 2/21 and s equal?
False
Let k = 154 + -136. Which is greater: k or 15?
k
Let a be 1 + (-13)/8 - -1. Suppose 3*f + 27*f = -12*f + 42. Is f < a?
False
Let b be (-1 - -1)/(-3 - -7 - 3). Is -4/9 bigger than b?
False
Let j be (-393)/(-2)*(-7)/(-42). Which is smaller: j or 34?
j
Suppose -5*u + 190 = q + 4*q, 111 = 3*u + 2*q. Let l = -49 + u. Is -14 < l?
False
Let n = 2/329 - 11260/12173. Which is greater: -2 or n?
n
Suppose -2*f = -3*b - 10 + 3, 0 = 3*b - 3. Suppose 3*x = d + 9, f*x + d + d = 26. Suppose -x*k + 8*k = 4. Is -3/11 at most as big as k?
True
Let w = 1005 + -1011. Is -36 smaller than w?
True
Let s be (-54)/140 + (-8)/(-16). Let t = 113/70 - s. Which is bigger: 2 or t?
2
Let w = 5.372 - 0.272. Is w greater than 0.2?
True
Let d be 9 + 15/(-3) - 2618/737. Which is smaller: -1 or d?
-1
Let c = 2.9 - 2.8. Which is smaller: 73 or c?
c
Let l(n) = -3*n**2 + 7*n + 4. Let c be l(4). Let d be 1 - 4/(c/(-28)). Let s be (4/(-6))/((-10)/d). Which is smaller: 1 or s?
s
Let y = 1508 - 1915. Which is smaller: y or -409?
-409
Let i be 2*2/16*3. Let z = -1/172 + 353/1548. Which is smaller: z or i?
z
Let r(x)
|
{
"pile_set_name": "DM Mathematics"
}
|
= 0.
-4, -3, 10/27
Let y(w) be the first derivative of w**6/3 - 12*w**4 - 128*w**3/3 - 48*w**2 - 369. Factor y(u).
2*u*(u - 6)*(u + 2)**3
Factor 2*o**3 + 117 - o**4 - 16*o**2 + 10*o**3 + 48*o**2 - 48*o - 261 + 2*o**4.
(o - 2)*(o + 2)*(o + 6)**2
Find c, given that 8*c**4 + 476*c**2 + 13075 - 13075 - 124*c**3 - 360*c = 0.
0, 1, 9/2, 10
Suppose -33*a + 266*a + 53*a - 582 = -5*a. Factor -11/2*m**a + 0 - 1/4*m**3 - 10*m.
-m*(m + 2)*(m + 20)/4
Let q(i) = 253*i**2 - 307*i - 3461. Let j(z) = -1416*z**2 + 1688*z + 19036. Let p(b) = 5*j(b) + 28*q(b). Factor p(m).
4*(m - 48)*(m + 9)
Let b(v) = 4*v**3 - 30*v**2 - 169*v + 84. Let x(j) = 9*j**3 - 61*j**2 - 374*j + 167. Let m(h) = 14*b(h) - 6*x(h). Factor m(c).
2*(c - 29)*(c - 1)*(c + 3)
Let g = -329525 + 2965727/9. Factor 0 - g*r**2 + 4/9*r**3 - 2/9*r**4 + 0*r.
-2*r**2*(r - 1)**2/9
Let d be 15/10*448/12. Suppose -4*o + d = 3*o. Factor 3*u**2 - o*u + 0*u**2 - u**2.
2*u*(u - 4)
Let j(n) = -n - 2. Let k(x) = 3*x + 5. Let p(l) = -8*j(l) - 3*k(l). Let w(g) = -g**3 - 2*g**2 + 9*g + 3. Let a(i) = 20*p(i) + 4*w(i). Solve a(o) = 0 for o.
-2, 2
Factor 31*q**2 - 1/3*q**4 + 29/3*q**3 + 32/3 + 95/3*q.
-(q - 32)*(q + 1)**3/3
Let i(b) be the second derivative of 0 - 11/80*b**5 + 231*b + 1/4*b**2 - 2/3*b**4 - 19/24*b**3. Factor i(h).
-(h + 1)*(h + 2)*(11*h - 1)/4
Let c(l) be the second derivative of 3*l**5/40 + 53*l**4/4 - l**3/4 - 159*l**2/2 - 722*l - 2. Find t such that c(t) = 0.
-106, -1, 1
Let n(j) = -2*j**2 - j - 1. Let r = 43 - 44. Let l(m) = 10*m**2 + 10*m + 4. Let h(d) = r*l(d) - 4*n(d). Factor h(a).
-2*a*(a + 3)
Suppose -5 = -2*i + 1. Let n be (18 - 18)/(9 - 14). Factor -d**i - 15/4*d**5 + 0*d**2 + n - 4*d**4 + 0*d.
-d**3*(3*d + 2)*(5*d + 2)/4
Let h(m) be the first derivative of -25*m + 1/20*m**5 + 18*m**2 - 11/12*m**4 + 4*m**3 + 6. Let i(p) be the first derivative of h(p). What is n in i(n) = 0?
-1, 6
Let m(l) be the second derivative of 2*l**4/15 + 9137*l**3/15 + 2284*l**2/5 - 54*l + 27. What is b in m(b) = 0?
-2284, -1/4
Suppose 4*y - 42 = -s, -5*s + 3309 - 3259 = 4*y. Suppose -y*c**2 - 85/9*c**3 + 4/9*c + 22/9*c**4 + 8/9 + 7/3*c**5 = 0. What is c?
-2, -1, -1/3, 2/7, 2
Let d(h) = -h**2 - 19*h + 36. Let x be d(-17). Let g be (2/(-10))/(791/x + -12). Find o such that -24/7*o - 26/7*o**2 - 8/7 - g*o**4 - 12/7*o**3 = 0.
-2, -1
Factor 3/4*m**3 - 675 - 39/2*m**2 - 1005/4*m.
3*(m - 36)*(m + 5)**2/4
Let d be -2 - -1 - 1*(-2 + -3). Factor 5*m**2 - m**5 - 5*m**2 + 0*m**d - 4*m**3 - 5*m**4.
-m**3*(m + 1)*(m + 4)
Let b(r) = -43*r**2 - 67*r + 11. Let c(v) = 19*v**2 + 32*v - 5. Let z(y) = 6*b(y) + 15*c(y). Find w, given that z(w) = 0.
-3, 1/9
Let b(k) be the first derivative of -k**4/2 + 20*k**3/3 + 375*k**2 - 9000*k - 3714. Factor b(h).
-2*(h - 15)**2*(h + 20)
Let d be (-160)/(-27 - -47) + 62/6. What is y in -4/3*y**2 - 1 - d*y = 0?
-1, -3/4
Let h = -3566 + 3566. Let f(q) be the third derivative of h*q**4 + 0*q**6 + 0 - 1/735*q**7 + 18*q**2 + 0*q**3 + 0*q + 1/210*q**5. Factor f(i).
-2*i**2*(i - 1)*(i + 1)/7
Let m = 161 - 157. Factor 7*l - 9*l**2 - 2 + 76*l**m + 71*l**4 - 217*l**4 + 69*l**4 + 5*l**3.
-(l - 2)*(l - 1)**3
Let o = 2185634 - 2185632. Let x be (3/(-2))/(2/(-4)). Factor 1/5*y**4 + 3/5*y**x + 0 - 4/5*y**o + 0*y.
y**2*(y - 1)*(y + 4)/5
Let f(p) be the first derivative of 7/5*p**2 - 11 - 1/15*p**3 - 24/5*p. Factor f(c).
-(c - 12)*(c - 2)/5
Let f(b) = -b**2 + 29*b + 30. Let y be f(-1). Let m(n) be the first derivative of 3/10*n**4 - 3/25*n**5 + 0*n**3 + y*n + 0*n**2 + 7. Factor m(r).
-3*r**3*(r - 2)/5
Let t(c) be the third derivative of -c**6/60 - 65*c**5/6 - 24*c**2 - 7. Factor t(v).
-2*v**2*(v + 325)
Factor 227*s**4 + 12*s - 224*s**4 + 43 + 17 + 10*s**2 - 55*s**2 + 6*s**3.
3*(s - 2)**2*(s + 1)*(s + 5)
Suppose 0 - 32*g**2 + 12/5*g + 196/5*g**3 - 48/5*g**4 = 0. Calculate g.
0, 1/12, 1, 3
Suppose -3*v + 12*v = 657. Let x be (v/(-949))/((-4)/26). Factor -x*n**2 + 1/2 + 0*n.
-(n - 1)*(n + 1)/2
Let h be 408/40*(64/12 + -2). Suppose 59*w - h = 84. Factor -48/5*t + 21/5*t**w + 36/5 - 3/5*t**3.
-3*(t - 3)*(t - 2)**2/5
Let r(t) be the second derivative of -t**5/4 - 65*t**4/4 - 90*t**3 + 6*t - 422. Factor r(m).
-5*m*(m + 3)*(m + 36)
Let h(c) be the second derivative of -c**4/6 + 128*c**3/3 + 2869*c. Factor h(q).
-2*q*(q - 128)
Let l(o) = -105*o**2 - 3895*o + 3880. Let v(n) = 31*n**2 + 1298*n - 1293. Let w(r) = 3*l(r) + 10*v(r). Factor w(f).
-5*(f - 258)*(f - 1)
Suppose -11*f = -6*f. Suppose 2*z + 9 = -3*n, f*z - 15 = 4*z + 5*n. Factor z*a + 0 - 1/3*a**3 + 2/3*a**2.
-a**2*(a - 2)/3
Factor -22/7*j - 1452/7 + 2/7*j**3 + 32/7*j**2.
2*(j - 6)*(j + 11)**2/7
Suppose -3*w + 130 = -4*t, -110 = -2*w - 2*t - 0*t. Factor 80*v**5 - 39*v**5 + 164*v**3 - 37*v**5 - w*v**4 + 218*v**4.
4*v**3*(v + 1)*(v + 41)
Let w(l) be the third derivative of -9*l**2 - 1/9*l**4 + 0 - 1/30*l**5 + 4/9*l**3 + 1/315*l**7 + 1/90*l**6 + 0*l. Factor w(g).
2*(g - 1)**2*(g + 2)**2/3
Let g(r) = r**2 + r - 30. Let a be g(6). Factor -2 + 112*j + a*j**2 + 8 - 85*j.
3*(j + 2)*(4*j + 1)
Factor -168*j**2 - 971175312 - 452*j**2 - 2834*j**2 - 2552*j**2 - 3706776*j + 1290*j**2 - 2*j**3.
-2*(j + 786)**3
Let h(t) = 15*t + 3. Let w be h(1). Let 12 - w - 10*x**3 + 16*x + 4*x**2 + 0*x**3 + 6 + 2*x**4 = 0. What is x?
-1, 0, 2, 4
Factor 188*x**2 + 4*x**3 - 5832 + 228*x + 1356*x + 36*x - 332*x**2.
4*(x - 18)*(x - 9)**2
Let a = -925620/11 + 6479406/77. Factor 2/7*h**2 + 8/7*h + a.
2*(h + 1)*(h + 3)/7
Let i = 29762 - 326614/11. Let w = 5464/77 - i. Factor -24/7*a**2 - 16/7 + w*a**3 - 1/7*a**4 + 32/7*a.
-(a - 2)**4/7
Let k(s) be the second derivative of -235*s**4/4 + 865*s**3/6 - 80*s**2 - 4221*s. Determine y, given that k(y) = 0.
32/141, 1
Let z(b) = 2*b**3 - 62*b**2 + 58*b + 20. Let h be z(30). Let j be -35*((-36)/h)/(-9). Factor 9/2*i**2 - j*i**3 - i + 0.
-i*(i - 1)*(7*i - 2)/2
Determine f, given that 6343*f**3 - 315*f**2 - 126 - 1006*f + 63*f**2 - 6311*f**3 - 1748*f**2 = 0.
-1/4, 63
Suppose 3*d - 5041 = 3*w + 2030, -3*w + 4704 = 2*d. Find p such that -p + 1018*p + 136*p**2 + 2359*p**3 - d*p**3 + 139*p = 0.
-17, 0
Let z(y) be the first derivative of -y**4/14 - 44*y**3/21 - 20*y**2 - 400*y/7 + 1044. Factor z(i).
-2*(i + 2)*(i + 10)**2/7
Suppose 2*z - 270 = -p, 12*z - 11*z + 1350 = 5*p. Let d be (-5)/30 + 261/p. Factor d*i**2 + 36/5 - 24/5*i.
4*(i - 3)**2/5
Let a(i) be the first derivative of -i**3/18 + 7*i**2/3 + 10*i + 714. Determine y, given that a(y) = 0.
-2, 30
Let b be ((-18)/(-10))/(-52 - 2104/(-40)). Factor -3/4*o**b - 3/2*o**2 + 0 - 3/4*o.
-3*o*(o + 1)**2/4
Let y(t) be the second derivative of 2/9*t**3 - 6*t - 7 + 1/3*t**2 + 1/18*t**4. Find b, given that y(b) = 0.
-1
Let v be (-318)/42 - (0 + 4/(-7)). Let b(g) = -4*g**2 - 37*g - 23. Let d(s) = 4*s**2 + 34*s + 22. Let f(j) = v*d(j) - 6*b(j). Factor f(x).
-4*(x + 2)**2
Let d(k) be the first derivative of 17/14*k**4 - 12/7*k**2 - 2/7*k**5 - 16/21*k**3 + 0*k - 77. Factor d(v).
-2*v*(v - 2)**2*(5*v + 3)/7
Let s(t) = t**3 - 35*t**2 - 499*t + 782. Let j be s(-12). What is i in 140/3*i - 100/3 - 35/3*i**j - 5/3*i**3 = 0?
-10, 1, 2
Let n(v) be the first derivative of v**6/12 + 17*v**5/10 - 19*v**4/4 + 587. Factor n(x).
x**3*(x - 2)*(x + 19)/2
Factor 12/5 + 16/15*h**2 + 14/5*h + 2/15*h**3.
2*(h + 2)*(h + 3)**2/15
Suppose 3*s = s - 2, -8 = -2*a + 100*s - 98*s. Factor -72 + 2/3*i**a - 10*i**2 + 48*i.
2*(i - 6)**2*(i - 3)/3
Let p(v) be the first derivative of -4*v**3/21 + 52*v**2/7 - 480*v/7 + 1099. Solve p(x) = 0.
6, 20
Factor -3864675 + 2142*b**2 + 2161*b**2 - 4306*b**2 + 6810*b.
-3*(b - 1135)**2
Let q = -2134/87 + 866/29. Factor 4/3*i**3 + 0 + q*i**2 - 4/3*i**4 - 16/3*i.
-4*i*(i - 2)*(i - 1)*(i + 2)/3
Factor 0 + 2*l**2 + 0*l + 294*l**4 + 36*l**5 + 193/4*l**3.
l**2*(l + 8)*(12*l + 1)**2/4
Solve -102*r - 4*r + 22*r + 32 + 72*r**2 - 20*r**3 = 0 for r.
1, 8/5
Let q = -108 - -115. Let -290*w**2 - q*w**5 + 300*w**2 + 15*w**3 + 2*w**5 = 0. What is w?
-1, 0, 2
Let b(g) be the first derivative of -2 + 1/4*g**2 + 3/2*g**3 - 9/2*g - 1/8*g**4. Factor b(n).
-(n - 9)*(n - 1)*(n + 1)/2
Let l = -305/3 + 3373/33. Let p(z) = 2*z**3 + 13*z**2 + 6*z + 3. Let d be p(-6). Find m, given that -6/11*m**d + 6/11*m + l - 6/11*m**2 = 0.
-1, 1
Let t = -56 + 170/3. Suppose 0 = 64*m - 72*m. Determine r so that t*r**2 + 0*r + m*r**4 - 1/3*r**5 + r**3 + 0 = 0.
-1,
|
{
"pile_set_name": "DM Mathematics"
}
|
rivative of -2*j**5/15 + 2*j**2. Let k be 1 + (-5)/(-5) + 21. Let b(g) = -k*g + 20*g + 3 - 3. Determine b(u(x)).
24*x**2
Let h(l) be the second derivative of 0 + 0*l**2 - 43/12*l**4 + 0*l**3 + 34*l. Let z(t) = 2*t. Give z(h(k)).
-86*k**2
Let a(o) be the first derivative of o**3/3 + o - 14. Let h(r) be the first derivative of a(r). Let d(y) = -14*y**2. What is d(h(g))?
-56*g**2
Let c(d) be the second derivative of -d**3/3 - 2*d. Let h(i) = 692 + 24*i - 2*i - 692. What is c(h(g))?
-44*g
Let k(h) = h + 6. Let n(b) = -50*b**2 - 6. Determine k(n(q)).
-50*q**2
Let c(a) = -8*a**2. Let o(w) be the third derivative of w**6/720 - w**4/12 + w**2. Let p(v) be the second derivative of o(v). What is c(p(m))?
-8*m**2
Let v(d) = 7*d**2. Let g(q) = 1684*q + 19. Calculate g(v(p)).
11788*p**2 + 19
Let x(u) = 2*u + 10. Let l(s) = -4*s - 60*s**2 - 52*s**2 + 4*s + 116*s**2. What is x(l(p))?
8*p**2 + 10
Let a = 3 + 2. Suppose -3*f = -4*s - 14, 4*s + s = 3*f - 13. Let x(n) = a - 11 + f + n. Let i(m) = -m. Determine i(x(h)).
-h
Let k(l) = -2*l. Let f(c) = c**2 - c - 35. Calculate f(k(v)).
4*v**2 + 2*v - 35
Let h(r) be the first derivative of r**2/2 - 105. Let q(z) = -2*z**2 + 172. What is q(h(b))?
-2*b**2 + 172
Let v(q) = 4*q**2. Let m(d) = 10472*d**2. Give v(m(b)).
438651136*b**4
Let o(n) = 2112*n + 7. Let q(d) = 1055*d + 3. Let l(h) = -3*o(h) + 7*q(h). Let r(j) = -2*j**2. What is r(l(y))?
-2200802*y**2
Let g(b) = 7*b. Let s(o) = 16*o. Let l(k) = -5*g(k) + 2*s(k). Let x(u) = -24*u**2. Determine l(x(w)).
72*w**2
Let j(h) = h. Let z(k) = 2*k - 242253. What is j(z(f))?
2*f - 242253
Let s(v) = -3*v**2 + 43 - 20 - 23. Suppose 1 = 2*x - 5. Let m(u) = -2*u**2. Let a(b) = -b**2. Let f(g) = x*a(g) - m(g). Determine s(f(o)).
-3*o**4
Let k(v) = -31*v - 7. Let z(g) = 26*g + 8. Let u(q) = -4*k(q) - 5*z(q). Let j(h) = 5*h. Give j(u(s)).
-30*s - 60
Let m = 31 - 29. Let g(v) = 24*v**2 - 8*v**2 - 17*v**m. Let x(a) = 17*a. What is x(g(j))?
-17*j**2
Let j(u) = 0*u - 6*u + 3*u. Let o(p) = -4*p**2 + 7*p. Let a(m) = m. Let r(d) = -14*a(d) + 2*o(d). Determine j(r(f)).
24*f**2
Let b(u) = -u. Let r(k) = k. Let d(j) = -4*b(j) - 3*r(j). Let g be 20/(-8)*8/(-10). Let c(z) = -2*z**2 - 2*z**g + z**2 + 7*z**2. What is d(c(v))?
4*v**2
Let r(w) = -3*w**2. Let z(c) be the first derivative of c**3 + 7*c**2/2 + 61. Determine z(r(j)).
27*j**4 - 21*j**2
Let k(h) = h**2. Let x(q) be the first derivative of -q**3/3 + 29*q + 70. Calculate k(x(g)).
g**4 - 58*g**2 + 841
Let i(t) = -44*t. Let g be (-42)/(-7)*4/(-3). Let b(x) = -29*x. Let y(r) = g*b(r) + 5*i(r). Let k(j) = -j. Give k(y(l)).
-12*l
Let j(d) = 6*d**2 + 5 + 6*d**2 - 4*d**2. Let o(x) = 4*x**2 + 2. Let m(s) = 2*j(s) - 5*o(s). Let u(q) = 3*q + 0 - 7 + 7. What is m(u(k))?
-36*k**2
Let t(p) = -4*p**2. Let r be ((-4)/(-2) - 0) + 5. Let g(n) = -r*n**2 - 44*n + 44*n. Calculate t(g(s)).
-196*s**4
Let b(p) = -5*p**2. Let l(z) be the third derivative of 0*z + 0*z**3 + 0 - 9*z**2 + 5/24*z**4. Calculate l(b(d)).
-25*d**2
Let f(h) = 2*h**2. Let v(k) = 72137*k. What is v(f(n))?
144274*n**2
Let o(h) = 7*h. Let a(v) be the first derivative of v**5/20 + 19*v**2/2 + 23. Let s(y) be the second derivative of a(y). What is s(o(p))?
147*p**2
Let h(l) = -l**2. Let s(f) = -8 + 3 - 1. Let o(d) = d**2 + 6*d - 10. Let j be o(-8). Let p(a) = -a + 13. Let z(q) = j*p(q) + 13*s(q). Determine h(z(r)).
-36*r**2
Let t(m) = 2*m - 15. Let b(l) = -3. Let v(i) = 30*b(i) - 6*t(i). Let n(p) = -21*p**2. What is n(v(w))?
-3024*w**2
Let d(m) = 8*m. Let c(x) = -5610*x. Calculate d(c(v)).
-44880*v
Let h(c) = c - 270. Let p(x) = 173*x**2. Determine h(p(j)).
173*j**2 - 270
Let h(p) = -p. Let x(m) = -30690*m - 7. What is x(h(o))?
30690*o - 7
Let p(v) = -1429*v**2. Let k(c) be the third derivative of c**4/12 - 15*c**2 + 7*c. What is p(k(q))?
-5716*q**2
Let s(m) = 2*m**2. Let x(f) = -25*f + 7*f**2 + 25*f - 21*f**2. Determine s(x(j)).
392*j**4
Let c be (-190)/(-16) - 7/(-56). Let p be 6/(-4)*c/3. Let o(a) = 13*a. Let b(g) = -27*g. Let m(u) = p*b(u) - 13*o(u). Let l(x) = -x**2. Calculate m(l(i)).
7*i**2
Let m(s) = 2*s**2. Let a(h) = -3*h**2 + 4*h. Let f be 4 - -5*(-1)/5. Let k(x) = x. Let p(c) = f*a(c) - 12*k(c). Give p(m(n)).
-36*n**4
Let n(a) = -a + 1. Let t(d) = d**2 + 3 + 2*d**2 + 14*d - 32*d + 15*d. Let l(j) = 3*n(j) - t(j). Let k(w) = 7*w. What is k(l(b))?
-21*b**2
Let z(p) be the first derivative of -3 - 11/6*p**3 + 2*p + 0*p**2. Let b(c) be the first derivative of z(c). Let m(g) = g**2. Determine m(b(k)).
121*k**2
Let i(d) = -6*d**2. Let c(z) = -26863*z. Determine c(i(y)).
161178*y**2
Let c(p) be the second derivative of 7*p**4/6 + 63*p. Let z(n) = 25*n. Calculate c(z(o)).
8750*o**2
Let y(h) be the second derivative of 4*h**3/3 - h + 10. Let n(t) = -2*t. What is y(n(f))?
-16*f
Let f(l) = 10*l**2. Let w(c) = 8*c**2. Let t(p) = -5*f(p) + 6*w(p). Let o(k) = 11*k + 2. Give t(o(d)).
-242*d**2 - 88*d - 8
Let l(v) = -6*v - 4. Let q(a) = -477*a. Calculate q(l(j)).
2862*j + 1908
Suppose -3*u - 4*p + 8 = -14, 0 = u - p + 2. Let d(z) = 8*z**2 - z**2 - 5*z**u. Let t(c) = -7*c**2 - 5*c**2 + 3*c**2. Determine d(t(k)).
162*k**4
Let u(w) = 4*w**2. Let m(h) be the second derivative of -h**3/6 - 99*h**2/2 + 49*h - 3. Determine m(u(o)).
-4*o**2 - 99
Let z(s) = -s**2 + s - 1. Suppose 6 = 6*j + 18. Let p(o) = 30*o**2 - 27*o + 27. Let h(a) = j*p(a) - 54*z(a). Let y(g) = 2*g**2. Determine h(y(u)).
-24*u**4
Let u(w) = w**2 + 42*w. Let k(n) = 733*n**2. Calculate u(k(p)).
537289*p**4 + 30786*p**2
Let b(l) = -15*l - 6. Let w be 5*((-20)/25 + 2). Let t(o) = -44*o - 17. Let p(f) = w*t(f) - 17*b(f). Let n(j) = 2*j**2. Determine p(n(z)).
-18*z**2
Let z(w) = 17*w. Let n(u) = 2*u. Let p(a) = -4*a. Let v(h) = -9*n(h) - 4*p(h). Let q(j) = -j. Let l(m) = 6*q(m) - 2*v(m). Calculate z(l(y)).
-34*y
Let s(u) = -35*u. Let m(n) = -4*n - 2. Let a(p) = -23*p - 11. Let g(t) = -4*a(t) + 22*m(t). Determine s(g(k)).
-140*k
Let j(r) = -25*r**2. Let k(w) be the first derivative of 4*w**2 - 53. What is k(j(n))?
-200*n**2
Suppose 25*j = 65*j. Let r(n) be the third derivative of 0*n + 0*n**3 + 1/24*n**4 + 11*n**2 + j. Let c(v) = -2*v**2. Give r(c(x)).
-2*x**2
Let j(u) = -371*u**2. Let a(b) be the first derivative of b**2 + 260. Calculate a(j(d)).
-742*d**2
Let j(l) = -8*l. Let a(d) = -10*d**2 - 30*d. Let y(r) = -24*r**2 - 60*r. Let x(s) = -5*a(s) + 2*y(s). Calculate x(j(g)).
128*g**2 - 240*g
Let i(u) = -49*u. Let j(m) = -596*m**2. Give i(j(q)).
29204*q**2
Let m(g) = -30*g. Let i(c) be the first derivative of -c**4/24 + 23*c**2/2 - 10. Let r(f) be the second derivative of i(f). What is m(r(a))?
30*a
Let z(c) = 2*c. Let k(d) be the first derivative of -d**5/24 + 16*d**3/3 - d**2 - 26. Let q(v) be the third derivative of k(v). Give q(z(r)).
-10*r
Let j(p) = -2383*p - 1. Let f(d) = 177*d. What is f(j(u))?
-421791*u - 177
Let o(z) = -z**2. Let m(y) = -91 - 25 + 31 - 2*y**2 + 11. Give o(m(d)).
-4*d**4 - 296*d**2 - 5476
Let m(n) = -5*n + 7. Let g(u) = -u**2 + 1095*u - 6. Determine m(g(a)).
5*a**2 - 5475*a + 37
Let h(m) = -42*m**2. Let z(d) = 8*d**2 + 24*d + 24. Let c(v) = 3*v**2 + 10*v + 10. Let w(t) = 12*c(t) - 5*z(t). Determine h(w(j)).
-672*j**4
Let m(z) = 131648*z**2 + 1089*z. Let r(n) = 242*n**2 + 2*n. Let u(h) = 2*m(h) - 1089*r(h). Let v(y) = -2*y**2. What is u(v(p))?
-968*p**4
Let l(c) = -2*c. Suppose 0 = 3*m - 3*n, -m - 3*m + 8 = 4*n. Let t(h) = h. Let p(r) = m*l(r) + 6*t(r). Let b(q) = 6*q. Determine b(p(f)).
24*f
Let p(s) = -15*s. Let a(h) be the first derivative of -h**3/6 + 33*h - 30. Let t(r) be the first derivative of a(r). Calculate p(t(w)).
15*w
Let j(c) = c**3 + 2*c**2 - 2*c + 3. Let o be j(-3). Let d(g) = o*g + 2*g + g. Let r(z) = 13*z**2 + 4*z**2 + 18*z**2 - 37*z**2. Determine d(r(a)).
-6*a**2
Let f(j) = -8*j + 42*j - 10*j. Let a(x) = -5*x. Give f(a(g)).
-120*g
Let y(b) = -3*b**2 + b**2 - 8*b**2. Let w be ((18/27)/(2/(-3)))/(-1). Let v(u) = u**2 - 2*u. Let z(k) = k. Let l(f) = w*v(f) + 2*z(f). Determine l(y(a)).
100*a**4
Let z(w) = -w. Let j(d) = -143*d - 15. Give j(z(l)).
143*l - 15
Let w(p) = -2*p. Let x = 20 + -14. Let d(b) = -b**2 - 6 + 3*b**2 + x. Give w(d(z)).
-4*z**2
Let x(o) = 69*o**2 - 2*o - 532. Let z(w) = -2*w**2. What is x(z(h))?
276*h**4 + 4*h**2 - 532
Let v(l) = 3*l**2. Let f(b) = -161*b. Let o(z) = 801*z. Let h(p
|
{
"pile_set_name": "DM Mathematics"
}
|
9, -718535, -958065, -1197615?
-w**3 + 2*w**2 - 239507*w - 5
What is the o'th term of -247955704, -247955705, -247955706, -247955707, -247955708, -247955709?
-o - 247955703
What is the x'th term of 68781, 137577, 206373, 275169, 343965, 412761?
68796*x - 15
What is the l'th term of -79436355, -158872701, -238309033, -317745345, -397181631, -476617885, -556054101, -635490273?
l**3 + l**2 - 79436356*l - 1
What is the n'th term of 44263248, 88526511, 132789774, 177053037?
44263263*n - 15
What is the t'th term of 23136, 46367, 69598, 92829, 116060?
23231*t - 95
What is the u'th term of -35038, -35122, -35220, -35338, -35482, -35658?
-u**3 - u**2 - 74*u - 34962
What is the h'th term of -118, -4138, -15948, -39442, -78514, -137058?
-649*h**3 - h**2 + 526*h + 6
What is the c'th term of 9551592, 19103181, 28654770, 38206359, 47757948, 57309537?
9551589*c + 3
What is the s'th term of 116748, 233937, 351566, 469635, 588144?
220*s**2 + 116529*s - 1
What is the d'th term of 121747, 121814, 121885, 121960, 122039, 122122, 122209?
2*d**2 + 61*d + 121684
What is the m'th term of 1107288, 1107161, 1107034, 1106907, 1106780?
-127*m + 1107415
What is the k'th term of 551944, 551847, 551750, 551653, 551556?
-97*k + 552041
What is the p'th term of 112831335, 225662667, 338493999?
112831332*p + 3
What is the b'th term of 7070009, 7070019, 7070035, 7070057, 7070085, 7070119, 7070159?
3*b**2 + b + 7070005
What is the l'th term of 3405, 13556, 30463, 54126, 84545?
3378*l**2 + 17*l + 10
What is the c'th term of -241, -308, -433, -616?
-29*c**2 + 20*c - 232
What is the i'th term of 1773847, 1774283, 1775009, 1776025, 1777331, 1778927?
145*i**2 + i + 1773701
What is the d'th term of 750, 626, 496, 360, 218, 70?
-3*d**2 - 115*d + 868
What is the a'th term of 958, 1150, 1306, 1414, 1462?
-2*a**3 - 6*a**2 + 224*a + 742
What is the z'th term of -1177, -3004, -5449, -8512, -12193, -16492?
-309*z**2 - 900*z + 32
What is the w'th term of -52, -455, -1580, -3793, -7460?
-61*w**3 + 5*w**2 + 9*w - 5
What is the a'th term of -8390, -32869, -73656, -130751, -204154?
-8154*a**2 - 17*a - 219
What is the t'th term of 12065, 37363, 62661, 87959, 113257?
25298*t - 13233
What is the b'th term of -456, -780, -1000, -1056, -888, -436, 360, 1560?
10*b**3 - 8*b**2 - 370*b - 88
What is the r'th term of 5292, 17704, 38398, 67374?
4141*r**2 - 11*r + 1162
What is the m'th term of -249488, -249209, -248934, -248663?
-2*m**2 + 285*m - 249771
What is the y'th term of 95538, 95542, 95548, 95556, 95566, 95578, 95592?
y**2 + y + 95536
What is the w'th term of -77939, -311083, -699657, -1243661?
-77715*w**2 + w - 225
What is the i'th term of -770, -1517, -2240, -2939?
12*i**2 - 783*i + 1
What is the m'th term of -371476, -1486570, -3345058, -5946940, -9292216, -13380886?
-371697*m**2 - 3*m + 224
What is the o'th term of 3287, 10438, 22395, 39158, 60727, 87102, 118283?
2403*o**2 - 58*o + 942
What is the s'th term of -538329, -538320, -538311?
9*s - 538338
What is the u'th term of -80564, -80899, -81234, -81569, -81904?
-335*u - 80229
What is the x'th term of 25076, 25509, 25930, 26333, 26712?
-x**3 + 440*x + 24637
What is the a'th term of 1324, 2039, 2704, 3295, 3788, 4159?
-4*a**3 - a**2 + 746*a + 583
What is the i'th term of -624150, -1249107, -1874064, -2499021, -3123978?
-624957*i + 807
What is the g'th term of -12062431, -24124868, -36187305, -48249742, -60312179, -72374616?
-12062437*g + 6
What is the c'th term of 166389, 166422, 166465, 166518?
5*c**2 + 18*c + 166366
What is the m'th term of -12442, -49580, -111408, -197926, -309134, -445032?
-12345*m**2 - 103*m + 6
What is the l'th term of -3936, -8055, -12174, -16293?
-4119*l + 183
What is the r'th term of 26049, 110026, 249987, 445932, 697861, 1005774, 1369671?
27992*r**2 + r - 1944
What is the p'th term of 4248207, 8496412, 12744617, 16992822, 21241027, 25489232?
4248205*p + 2
What is the s'th term of 12370342, 12370349, 12370360, 12370375?
2*s**2 + s + 12370339
What is the s'th term of 404, 4784, 9172, 13568?
4*s**2 + 4368*s - 3968
What is the r'th term of -223205, -892660, -2008419, -3570482, -5578849, -8033520, -10934495?
-223152*r**2 + r - 54
What is the u'th term of 3751, 14924, 33539, 59590, 93071?
-u**3 + 3727*u**2 - u + 26
What is the i'th term of 4695, 4565, 4457, 4383, 4355?
2*i**3 - i**2 - 141*i + 4835
What is the x'th term of -1346063, -1346067, -1346075, -1346087?
-2*x**2 + 2*x - 1346063
What is the j'th term of 7584, 7539, 7580, 7707, 7920, 8219?
43*j**2 - 174*j + 7715
What is the p'th term of 289, 1217, 3441, 7603, 14345?
107*p**3 + 6*p**2 + 161*p + 15
What is the v'th term of 4363114, 8726224, 13089334, 17452444?
4363110*v + 4
What is the b'th term of -570437, -1140845, -1711253, -2281661?
-570408*b - 29
What is the f'th term of -3884811, -7769617, -11654423, -15539229?
-3884806*f - 5
What is the s'th term of 53963, 54042, 54255, 54668, 55347, 56358, 57767, 59640?
11*s**3 + s**2 - s + 53952
What is the u'th term of 9934, 39499, 88776, 157765?
9856*u**2 - 3*u + 81
What is the z'th term of -36, -467, -1172, -2151, -3404, -4931, -6732?
-137*z**2 - 20*z + 121
What is the w'th term of 1290346, 1290349, 1290352, 1290355, 1290358, 1290361?
3*w + 1290343
What is the p'th term of 7582, 15746, 24472, 33760?
281*p**2 + 7321*p - 20
What is the y'th term of -3048048, -3048055, -3048068, -3048087, -3048112, -3048143?
-3*y**2 + 2*y - 3048047
What is the s'th term of 1108548, 2217155, 3325762, 4434369, 5542976, 6651583?
1108607*s - 59
What is the u'th term of -10096704, -10096690, -10096674, -10096656, -10096636?
u**2 + 11*u - 10096716
What is the x'th term of -14741930, -29483856, -44225782, -58967708, -73709634, -88451560?
-14741926*x - 4
What is the a'th term of -461448, -461498, -461582, -461700?
-17*a**2 + a - 461432
What is the r'th term of -268824, -268830, -268836, -268842, -268848, -268854?
-6*r - 268818
What is the c'th term of -952, -3780, -8538, -15262, -23988, -34752?
-6*c**3 - 929*c**2 + c - 18
What is the l'th term of -2293, -7118, -11943, -16768, -21593?
-4825*l + 2532
What is the q'th term of -1647, -3753, -5821, -7845, -9819, -11737, -13593?
q**3 + 13*q**2 - 2152*q + 491
What is the u'th term of -2732098, -10928382, -24588850, -43713502?
-2732092*u**2 - 8*u + 2
What is the y'th term of 10212, 40855, 91922, 163413, 255328?
10212*y**2 + 7*y - 7
What is the j'th term of -588697, -2354841, -5298411, -9419401, -14717805, -21193617, -28846831?
j**3 - 588719*j**2 + 6*j + 15
What is the g'th term of 11552981, 23106024, 34659067, 46212110, 57765153, 69318196?
11553043*g - 62
What is the c'th term of -17127, -34180, -51127, -67914, -84487, -100792, -116775?
9*c**3 - c**2 - 17113*c - 22
What is the a'th term of -26573, -106353, -239319, -425471, -664809, -957333, -1303043?
-26593*a**2 - a + 21
What is the s'th term of -22842, -45877, -69094, -92493, -116074, -139837, -163782?
-91*s**2 - 22762*s + 11
What is the i'th term of 47934, 95880, 143836, 191802, 239778, 287764, 335760?
5*i**2 + 47931*i - 2
What is the q'th term of 88254, 176209, 263854, 351195, 438238?
q**3 - 161*q**2 + 88431*q - 17
What is the q'th term of -509000, -509095, -509190?
-95*q - 508905
What is the h'th term of 2664, 1980, 1292, 600?
-2*h**2 - 678*h + 3344
What is the s'th term of -429378, -858741, -1288098, -1717449, -2146794, -2576133?
3*s**2 - 429372*s - 9
What is the n'th term of -23816029, -23816048, -23816079, -23816122, -23816177?
-6*n**2 - n - 23816022
What is the n'th term of 147098, 146300, 145502?
-798*n + 147896
What is the n'th term of 40279, 79160, 118041, 156922, 195803, 234684?
38881*n + 1398
What is the a'th term of -44225759, -44225762, -44225765, -44225768, -44225771?
-3*a - 44225756
What is the x'th term of -14789736, -14789734, -14789730, -14789724, -14789716, -14789706, -14789694?
x**2 - x - 14789736
What is the s'th term of -1159277, -1159229, -1159181?
48*s - 1159325
What is the z'th term of 47557, 190231, 428033, 760969, 1189045, 1712267, 2330641?
z**3 + 47558*z**2 - 7*z + 5
What is the f'th term of 12708, 50729, 114090, 202785, 316808, 456153?
-f**3 + 12676*f**2 + 33
What is the a'th term of -17031, -34151, -51253, -68337, -85403?
9*a**2 - 17147*a + 107
What is the b'th term of 1883446, 3766893, 5650340?
1883447*b - 1
What is the g'th
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 2*j. Let d(b) = b**3 - 6*b**2 - 8*b + 3. Let k be d(7). Let o be i(k). What is the highest common divisor of o and 32?
8
Let j = -461 - -869. Suppose 5*y - j + 133 = 0. Suppose 3*x + 66 = 6*x. What is the greatest common divisor of y and x?
11
Let j be (1400/21)/8 - (-2)/3. Calculate the greatest common divisor of 108 and j.
9
Let z(h) = 2*h - 12. Let o be z(11). What is the greatest common divisor of o and 40?
10
Suppose -2*t = -26 - 22. What is the greatest common divisor of 216 and t?
24
Let y(q) = 9*q - 11*q + 15*q. Let i be y(1). What is the highest common divisor of 39 and i?
13
Let o(u) = 3*u + 21. Let n be o(-5). Let l(d) = d**2 - 1. Let z be l(-4). Calculate the highest common factor of z and n.
3
Let r(i) = 0 - 12*i + 1 - 4 - i**2. Let m = 12 - 21. Let t be r(m). What is the highest common divisor of 4 and t?
4
Suppose 0 = 2*g + 3*g - 360. Suppose -4*i = -g + 28. Let q be ((-2)/(-3))/((-6)/(-99)). What is the greatest common divisor of i and q?
11
Let w(g) = -g**3 + g + 3. Let b be w(0). Suppose -1 = -a, a = -3*n - 3*a + 16. Let o = n + b. What is the highest common factor of 7 and o?
7
Let g be (2 - 5) + 6 - -12. What is the highest common divisor of 45 and g?
15
Let v be 6/(-21) - (-1110)/14. Suppose -h = 4*g + g - 29, 0 = 5*h + 3*g - v. Let u be 164/h + (-4)/(-14). Calculate the highest common factor of u and 60.
12
Let x = 4 + -8. Let p = x + 7. Calculate the greatest common divisor of 2 and p.
1
Suppose 3*i + 2*a - a - 149 = 0, 0 = 4*i + 5*a - 184. What is the highest common divisor of i and 34?
17
Let t = 8 + 10. Calculate the highest common factor of 18 and t.
18
Let x be (-20)/15 - 2/3. Let f(s) = 5*s + 4. Let b(a) = a + 1. Let u(y) = 4*b(y) - f(y). Let r be u(x). Calculate the greatest common factor of 6 and r.
2
Let i(b) = 5*b - 11. Let c be i(16). Calculate the highest common factor of c and 3.
3
Let i = 29 + -53. Let z(s) = -5*s**3 - 2*s**2 + 2*s - 1. Let u be z(1). Let c be (26/u)/(1/i). Calculate the greatest common factor of 13 and c.
13
Let i(u) = 2*u**3 + 12 + 0*u - u**3 - u. Let g = -1 - -1. Let n be i(g). Calculate the greatest common divisor of n and 96.
12
Suppose 30 = w + 5*w. What is the highest common divisor of 2 and w?
1
Let x be (-2 - -4) + 1 + 3. Suppose x = -6*y + 24. Calculate the greatest common factor of y and 6.
3
Let v be 151 + 3 + (0 - 4). Calculate the greatest common factor of v and 60.
30
Suppose 3*a + 94 = 4*a + 4*l, -274 = -3*a - 4*l. What is the highest common factor of 30 and a?
30
Let f = -27 - -62. Let k = 31 + f. Suppose 2*o = 2*d - 12, 0 = 5*o - 4*o. What is the greatest common factor of k and d?
6
Let n(m) = 2*m**3 - 5*m**2 + 2*m. Let z = 1 - -2. Let p be n(z). What is the highest common divisor of 6 and p?
3
Let u(h) = -h**2 + 6*h. Let f be u(5). Suppose -3*m + 2*a = -m - 24, -f*m = 5*a - 10. Suppose -4*s + 31 = m. What is the greatest common factor of 54 and s?
6
Let i(k) = -k**2 + 5*k. Let b be i(5). Suppose b = -0*m + 5*m - 125. What is the highest common factor of 25 and m?
25
Suppose -2*t = 2*a - 164, -3*t - 260 = -6*t + 4*a. Suppose -n + 84 = 3*n. Calculate the greatest common divisor of t and n.
21
Let t be (0 - 0)/(-2) - -2. Let x(r) = 2*r**2 + 22*r + 66. Let n be x(-7). Calculate the highest common factor of t and n.
2
Suppose 0 = -4*h + 390 - 110. What is the greatest common divisor of h and 10?
10
Let i = -30 - -86. Calculate the highest common divisor of i and 14.
14
Suppose -5*b = -1 - 4. What is the greatest common factor of 9 and b?
1
Suppose 2*o = -4*o + 120. What is the greatest common factor of 4 and o?
4
Suppose 4*u + u + n = 55, -u = -3*n - 27. What is the highest common factor of u and 84?
12
Suppose -25*o + 184 = -23*o. What is the highest common factor of 230 and o?
46
Let u = -78 - -130. Let v = -16 + u. Let i = 61 - v. What is the greatest common factor of i and 10?
5
Let u be (-6 - 2)*(-2 - 0). Calculate the greatest common divisor of 8 and u.
8
Suppose -348 - 146 = -2*v. Calculate the highest common factor of v and 13.
13
Let c(i) = -2*i**2 + 11*i + 3. Let w be c(5). Calculate the highest common factor of w and 64.
8
Let t(l) = -12*l - 4. Let u(z) = -11*z - 3. Let c(g) = 3*t(g) - 4*u(g). Let h be c(2). What is the highest common divisor of 2 and h?
2
Suppose -2*q + 9 - 3 = 0. Suppose 7*i = q*i + 128. What is the highest common factor of i and 48?
16
Suppose 8 = w + 7. What is the greatest common divisor of w and 1?
1
Suppose -j - 3*o = -2*j - 110, 530 = -5*j - 5*o. Let p be 8/(-28) + j/(-7). Let b = 5 - 0. Calculate the highest common divisor of b and p.
5
Let c(j) = -j**3 - 7*j**2 - 8. Let b be c(-7). Let t be ((-2)/b)/((-5)/(-60)). Calculate the greatest common factor of 33 and t.
3
Suppose 4*s = -s. Suppose s = -0*t + 2*t. Suppose -3*z + 270 = -t*z. What is the greatest common divisor of z and 10?
10
Suppose -5*x + 2*x + 12 = 0, -4*v = -x - 60. What is the highest common factor of 16 and v?
16
Let q(d) = 3*d**2 + 5 + d**2 - 7*d - 5*d**2 + d. Let z be q(-6). What is the highest common factor of 25 and z?
5
Let f(r) = -37*r + 13. Let l be f(-2). What is the greatest common divisor of l and 29?
29
Suppose -2*c = -3*c + 2. Suppose 0 = 4*b + 3*v - 9, -4*b - 2*v = -2*b - c. Calculate the greatest common divisor of b and 30.
6
Let y(b) = b**2 - 18*b + 64. Let k be y(15). Calculate the highest common divisor of 247 and k.
19
Let y(k) = -k**3 + 4*k**2 + 6*k - 3. Let a be y(5). Suppose -a*c + 21 + 51 = 0. Calculate the highest common divisor of 9 and c.
9
Let y be (-29 + 5)*15/(-12). Calculate the greatest common divisor of 10 and y.
10
Let u = 1 - -2. Let o(x) = -x**3 + 8*x**2 - 4*x - 1. Let h be o(7). Suppose -3*y + 16 + h = 0. What is the highest common factor of u and y?
3
Suppose 34*n = 38*n - 204. Let i = -20 + 37. What is the highest common factor of i and n?
17
Let h = 11 - -209. What is the highest common divisor of h and 22?
22
Suppose 18 = d - 4*j - 7, -3*d - 3*j = 0. Let a = 25 + 30. Calculate the greatest common divisor of d and a.
5
Let l be (1/(-3))/(2/(-24)). Let u(k) = k - 7. Let n be u(7). Let q(x) = -x**3 - x**2 - x + 44. Let t be q(n). Calculate the highest common divisor of l and t.
4
Suppose j - 792 = -2*j. Calculate the greatest common divisor of 24 and j.
24
Suppose 0 = -2*u + 7 + 1. Suppose 27 = u*t - t. Let l = -30 + 57. What is the greatest common factor of t and l?
9
Let f = 7 + 5. Suppose -3*x = -0*x - f. Calculate the greatest common divisor of x and 1.
1
Let n be (5 - 4 - 31)*-1. What is the greatest common factor of 75 and n?
15
Suppose 3 = -2*p + 33. What is the highest common divisor of 45 and p?
15
Let u be (8/6)/(6/(-18)). Let p(b) = b**3 + 4*b**2 - 4*b. Let w be p(u). Let v = -21 - -61. What is the greatest common factor of v and w?
8
Suppose 0 = -2*l - 5 - 19. Let g = -8 - l. Let z be (-7 + 3)*(-2)/4. Calculate the greatest common factor of g and z.
2
Let k(d) = 1. Let s(n) = n + 11. Let b(g) = -5*k(g) + s(g). Let w be b(-3). Let q be 2/((-1 + w)/80). Calculate the highest common divisor of q and 10.
10
Suppose -2*u = -c - 2, -c + u + 2*u - 5 = 0. Let k be c/12 + (-71)/(-3). Suppose 3*i - 19 = 17. Calculate the greatest common factor of i and k.
12
Let o be 35 - 2/2 - 1. Let g = o - 10. What is the greatest common factor of 115 and g?
23
Suppose 7*h = 8 + 83. What is the highest common divisor of h and 39?
13
Suppose 4*t - 2*r + 91 = -3*r, 0 = -2*t + r - 53. Let d = 40 + t. Let u be ((-72)/(-4))/(-2*(-4)/64). Calculate the highest common divisor of d and u.
16
Let i(r) = -4 + 0 + 2*r - r**3 - 5*r + 6*r**2 + 7. Let m be i(3). What is the greatest common divisor of 14 and m?
7
Suppose -45 = -2*y + 13. Let v = 27 + y. What is the greatest common factor of 8 and v?
8
Let l be 11*25 + -1 + 2. Let f = l - 92. Calculate the greatest common factor of 23 and f.
23
Let j = 6 + -4. Let h be (4/j - -9) + 1. Calculate the highest common divisor of 4 and h.
4
Suppose 5*u - 100 = -5*d, 0*d - 2*d - 68 = -4*u. Calculate the greatest common divisor of 45 and u.
9
Suppose 0 = -8*f + 3*f + 5. Calculate the highest common factor of f and 1.
1
Let v(m) = 3*m**2 - 7*m + 6. Let i be v(1). Calculate the greatest common factor of i and 2.
2
Let k(o) = 3 - 25*o - 5 - 1 + 4. Let n be k(-1). Let x = -15 + n. What is the highest common factor of 11
|
{
"pile_set_name": "DM Mathematics"
}
|
-2*b**2 - 18*b - 41. Let o be 1*(90/(-16) + 6 - 54/16). Give k(o).
-5
Let f = -4188 + 4152. Let b(j) = -j**2 - 37*j - 41. Give b(f).
-5
Suppose 5*w = -m - 9 + 65, 2*m - w = 101. Let t = -48 + m. Let p(y) = 4*y + 0*y + 3 - y + t*y**2 - y**3. Give p(4).
-1
Let j(h) be the third derivative of h**6/120 + h**5/60 - h**4/12 - h**3/2 - 365*h**2. Calculate j(3).
27
Let d(w) = -w**3 - 1. Let l(b) = 4*b**3 - 4*b**2 + 5 - b - 8*b**2 + 13*b**2. Let p(t) = 3*d(t) + l(t). Give p(-3).
-13
Let p(f) be the first derivative of 4*f**3/3 - 11*f**2/2 + 4*f - 1031. Calculate p(3).
7
Let t = 6 + 6. Suppose -z - t = -3*z. Let w(y) be the third derivative of y**4/24 + y**3/3 - 723*y**2. Determine w(z).
8
Let l = 133 + -125. Suppose -114 - 166 = -l*o. Let w = o + -37. Let z(x) = x**3 - 3*x**2 - 4*x - 3. What is z(w)?
-15
Let b(i) be the first derivative of i**3 - 30*i**2 - 17*i - 11393. Give b(20).
-17
Let r(u) = 14*u**2 + 7*u. Let x(a) = -7*a**2 - 3*a. Let g(y) = 2*r(y) + 5*x(y). Let z = 260169 - 260170. Calculate g(z).
-6
Let y(j) = -j**2 + 1. Let x(s) = -2*s**2 + 39*s + 76. Let o(b) = -x(b) + 3*y(b). Let k be o(-37). Let u(c) = -13*c. Give u(k).
-13
Suppose -7*i + 10*i = -v + 20, 0 = -4*i + 3*v + 5. Let x(c) = 9*c**2 + 5*c - 10. Let z(u) = 11*u**2 + 6*u - 11. Let k(p) = i*z(p) - 6*x(p). What is k(0)?
5
Let x be (-2)/6*(9 + -6 - 0). Let m(w) = 5*w**3 + 6*w**2 - w - 7. Let c(u) = u**3 + 2*u**2. Let v(g) = x*m(g) + 6*c(g). What is v(-5)?
27
Let j(p) = -2768*p**2 + 3 + 5*p - 7 + 2767*p**2 - 4*p - 2. Give j(2).
-8
Let t(i) = -i + 3. Let c = 397 + -398. Let s(h) = 4*h + 11. Let b be s(c). Calculate t(b).
-4
Let t(x) = -x**2 - 31 + 32 + 9*x**3 + 4*x**2 + 7*x - 16*x + 6*x. Determine t(1).
10
Let o(h) be the third derivative of -h**6/120 + 7*h**5/60 + 19*h**4/24 - 11*h**3/3 - 430*h**2. What is o(9)?
-13
Let b be ((-4)/(-10))/(1/(-655)). Let q = b + 270. Let k(a) = -a**3 + 9*a**2 - 8*a + 5. Calculate k(q).
5
Let o(f) = 14*f**3 + 18*f**2 - 11*f + 7. Let z(q) = 16*q**3 + 20*q**2 - 13*q + 8. Let a(i) = 10*o(i) - 9*z(i). Calculate a(3).
-89
Let u be -4 + (-3 + 0)*89 - -1. Let k = -279 - u. Let l(m) = m**3 + 9*m**2 + m + 11. Determine l(k).
2
Let n = -54 + 54. Suppose -63 + n = -3*h. Let y(c) = h - c - 42 + 17. Calculate y(0).
-4
Suppose -14*l = -7*l + 21. Let n be (4 - (1 - 2)) + l. Suppose n*m + 2 + 4 = 0. Let y(h) = h**3 + 3*h**2 - 3*h - 1. Calculate y(m).
8
Let q = 2 + -4. Let w(u) = -8*u**3 - 13*u**2 + 41*u + 4. Let f(k) = -2*k**3 - 3*k**2 + 9*k + 1. Let d(j) = 9*f(j) - 2*w(j). Calculate d(q).
15
Let q(n) be the first derivative of -5*n**3/3 - 4*n**2 - 7*n - 5. Let h(k) = k**2. Let t(j) = -4*h(j) - q(j). Let m be 13/(-39) + (-14)/3. What is t(m)?
-8
Let p be (-304)/(-7) + (-12)/28. Let m = p - 40. Suppose -d - m*d = d. Let n(g) = g**3 + g**2 - g + 12. Give n(d).
12
Let x(s) = -60*s + 1. Suppose -125*h + 15*h - 29 + 139 = 0. Calculate x(h).
-59
Let d(z) be the first derivative of 7*z**4/24 - z**3/2 - 5*z**2/2 + 6*z + 159. Let i(n) be the second derivative of d(n). Determine i(5).
32
Let j = -481 - -475. Let h be j/5 + 204/20. Let n(r) = -r**3 + 9*r**2 + r + 12. Calculate n(h).
21
Let z be 30/4*(-336)/35. Let o = 65 + z. Let j(c) = -c**3 - 8*c**2 - 9*c - 7. Determine j(o).
7
Let p(n) = -74 + 76 + 9*n - 8*n. Let a = -3 + 2. Let j = 4 + a. Calculate p(j).
5
Let q(g) = g + 3. Let w(k) be the third derivative of -k**4/8 - 4*k**3/3 - 26*k**2. Let n be w(7). Let f = n + 27. Calculate q(f).
1
Let w(h) be the first derivative of h**4/4 + 2*h**3 - 5*h**2 - 21*h + 3. Let k = -844 - -837. Let b be w(k). Let f(j) = j**3 - j**2 - 8. Calculate f(b).
-8
Let d(w) = 17*w + 43. Let f be d(-2). Let o(a) = 8 - a**3 + 0*a**3 + 17 + 10 + f*a - 39 + 7*a**2. Calculate o(8).
4
Let n = -7115 + 7119. Let f(r) = 2*r**2 + r - 1. Calculate f(n).
35
Let p(f) = 137*f + 825. Let w be p(-6). Let y(j) = 3*j + 2*j**2 + 3*j - 4*j**2 - 6. Let v be y(w). Let h(o) = -o - 6. What is h(v)?
0
Let m(n) = 5*n**3 - 18*n**2 - 80*n - 1. Let u(x) = -4*x**3 + 17*x**2 + 60*x + 2. Let s(i) = -3*m(i) - 4*u(i). What is s(14)?
-5
Suppose 5*j + 10 = 0, 50*l - 55*l - 4*j = -232. Suppose l*d - 66*d = 0. Let h(x) = x**3 + x**2 + x + 38. Give h(d).
38
Let q(d) = 60*d + 6. Let w be q(2). Let c(i) = i + w*i**3 - 271*i**3 + 2*i**2 + 124*i**3 - 3*i**2 + 1. Calculate c(-1).
20
Let y be ((-3)/5 + 1)*(3 - -2). Suppose y*w = -0*w + 10. Let m(o) = -o - 4. What is m(w)?
-9
Let d(m) = 36*m**2 - 26 + 3 - 23*m**2 + 52*m - 16*m**2. Calculate d(17).
-6
Let r(i) = -1725*i - 3*i**2 + 1718*i + 8 + 2*i**2. Determine r(1).
0
Let f(y) = 3*y + 18. Let j be (5 - 6) + ((-4)/(-6))/((-40)/(-540)). Determine f(j).
42
Let o(n) be the second derivative of n**4/6 + n**3/2 - n**2 - 2*n. Let i be o(-3). Let s(y) = -5*y - 10 + i + 8*y. What is s(2)?
3
Let s(w) be the first derivative of -11*w**3/3 + 28*w**2 - 2*w - 5660. Determine s(5).
3
Let a(f) = 45 + 85 + 2*f**2 - 131 - f**3. Determine a(3).
-10
Suppose 4*y - 43 = 3*z, 3*z - 61 = -4*y - 0. Let n(d) = -y*d + 33*d - 12*d + 10 - d**2 + 2*d. Calculate n(9).
19
Suppose 5 = -5*f - 0. Let q be ((-2)/(-28)*4)/(f/(-7)). Let p(s) be the second derivative of -s**4/12 - s**3/6 + s**2/2 + s. Calculate p(q).
-5
Suppose -8 - 8 = 2*m. Let d(k) = k**3 + 9*k**2 + 2*k - 47. Let n be d(m). Let v(g) = -g**3 - g**2 + g - 1. What is v(n)?
-2
Let c(y) = -y**2 + 4*y - 4. Let d(j) = j**2 - 4*j + 4. Let s(m) = -3*c(m) - 4*d(m). Suppose -a + 364 = -5*a. Let h be ((-8)/(-14))/((-13)/a). Give s(h).
-4
Let o(h) = -6*h - 88. Let x(a) = -3*a - 44. Let n(u) = -3*o(u) + 5*x(u). Let i be n(-14). Let d(t) = 2*t - 5 + 6 + 10 - i. Calculate d(-7).
-5
Let i be ((-4)/6)/(1/(-3)). Let u(h) = -2*h - 48 + h**i + 13 + 29. Give u(-4).
18
Let v(a) = 7*a - 15. Let m be ((-25)/(-5))/(2*65/(-364)). Determine v(m).
-113
Let u = 245 - 242. Let p(x) = -9*x**3 - 2*x**3 + 4*x + 3*x**2 + 10*x**u. What is p(3)?
12
Let c(j) = -j**2 + 3*j + 7. Let x = 17 + -12. Let i(r) = 2*r**2 - 5*r - 15. Let l = -4 + 7. Let y(w) = l*i(w) + x*c(w). What is y(0)?
-10
Let s(f) be the first derivative of -3*f**2/2 - 11*f + 1231. Give s(-4).
1
Let i(x) = -5*x - 2. Let c(r) = -43*r - 18. Let f(q) = -c(q) + 5*i(q). What is f(5)?
98
Let j(s) be the third derivative of -s**4/24 - 17*s**3/6 + 171*s**2. Let p(o) = -o**3 - 12*o**2 - 10*o + 4. Let m be p(-11). What is j(m)?
-10
Let c(s) = 4*s**3 + 2*s**2 - 2*s - 5. Let d(g) = -g**3 - 79*g**2 - 1287*g + 26. Let y be d(-23). Calculate c(y).
115
Let p(b) = 8*b - 10*b + 3*b. Suppose x = 2*x. Suppose x = -5*n + 3*m - 7, -2*m = 2*n - 10. Give p(n).
1
Let w be ((-6 + -14)/5)/((-189)/18 - -11). Let o(t) = -5*t**3 + 6*t**3 - 7*t + 7*t**2 + 1 + t. Determine o(w).
-15
Let z(a) = -a**2 + 65 + 2*a + 170 - 199. What is z(-4)?
12
Let p(m) = m - 1. Let v(w) = -w**3 - 3*w**2 + 12*w + 5. Let x be v(-5). Let u(t) = 11. Let h(r) = x*p(r) - u(r). Give h(0).
-6
Let t(b) = 2*b**2 - 2*b. Let y(k) = -2*k - 15. Let u be y(-8). Let x be (-33)/66 - (-1)/((-2)/3). Let i be u + 1/x + 5/2. Calculate t(i).
12
Let r be ((-54)/(-24))/(15/(-40)). Let t(o) = o**3 + 4*o**2 - 13*o - 16. Give t(r).
-10
Let f = -313 + 322. Let s(d) be the third derivative of -d**5/60 + 7*d**4/12 - 2*d**3 - 6*d**2. What is s(f)?
33
Let c(r) = -2*r**2 - 25*r - 34. Let b(l) = -2*l**2 - 27*l - 47. Let n(k) = -4*b(k) + 5*c(k). Give n(-9).
9
Let s(l) = l**3 - 7*l**2 + 13*l - 26. Let p(g) = -g**3 + 99*g**2 + 6. Let r be p(99). Give s(r).
16
Let z(c) = 40*c - 728. Let j(m) = 13*m - 242. Let n(b) = 7*j(b) - 2*z(b). Give n(21).
-7
Let h(m) = -m - 5. Let s(y) = y**2 - 6. Let w(t) = -3*h(t) + 2*s(t). Let p = -4 - -10. Let q be 10/(-6) - 2/p. What is w(q)?
5
Let t(o) be the second derivative of -o**3/6 + o**2 + o. Suppose -4*w - 4*d - 4 = 0, -18*d + 20*d = -18. Determine t(w).
-6
Let j(i) be the third derivative of 1/15*i**5 + 1/120*i**6 - 2/3*i**3 - 3/8*i**4 + 0*i + 0 + 53*i**2. What is j(-6)?
-22
Let p be 63/7 + (27 - 33). Let a(o) = -9*o + 41. Give a(p).
14
Let q = 22257 + -22260. Let x(p) = 26*p**2 + 68*p - 1. Determine x(q).
29
Suppose -18 = -6*x + 12. Suppose x*s = -3*h - 20, 2 = 3*s - 5*s. Let w(z) = 4*z**2 - 3*z**2 + 5*z - 5 + 0*z**2. Determine w(h).
-5
Let g(b) be the third derivative of -5*b**4/6 + 169*b**3/6 + 4*b**2 - 15*b - 2. Give g(9).
-11
Let x be (-5 - -4)*(0 + -3). Suppose -5*y + 12 = -x. Let u(
|
{
"pile_set_name": "DM Mathematics"
}
|
s the nearest to 0.2? (a) 1526 (b) 4 (c) -1 (d) 9
c
Which is the closest to -0.2? (a) 0.025 (b) 4 (c) -6
a
What is the closest to -19 in 2, -3, 66?
-3
What is the closest to -34835 in 1/2, 2, -1?
-1
What is the nearest to 1/127 in 0.5, -7/3, -4, 1.3?
0.5
What is the nearest to -2 in -7, 0.6, 4, -1, -3.6?
-1
What is the closest to 54 in 3/2, -3, 0.1, 1/7?
3/2
What is the nearest to 1/4 in 2/7, -55, 5, -1, 80/9?
2/7
What is the closest to -2 in 2, -581/296, 3/2?
-581/296
Which is the closest to -39090? (a) 2/19 (b) -4 (c) -0.3
b
What is the closest to 2/3 in 518, 7, 42, -3?
-3
What is the closest to -2 in -2/3, -72.2, 7?
-2/3
Which is the closest to -1? (a) 2 (b) 2/35 (c) 1/10 (d) -19
b
Which is the nearest to 1? (a) 2/5 (b) -1/25 (c) 524
a
Which is the closest to 249? (a) -0.5 (b) -2/17 (c) -8 (d) 2
d
What is the closest to 3 in -1, 2/7, 0, 26, -0.002?
2/7
Which is the nearest to 1? (a) 0.1 (b) 0 (c) -7
a
What is the closest to -3 in 0.5, -2/15, 38, -2, -1.6?
-2
Which is the closest to 0? (a) 2 (b) 3 (c) -5 (d) 254.6
a
Which is the closest to 0? (a) 0 (b) -4/11 (c) 0.1 (d) 4
a
What is the nearest to 9/5 in -1, 2, 1/16, 0.1, 3?
2
Which is the nearest to 1? (a) 11.8 (b) -13 (c) -1/2 (d) -1
c
Which is the nearest to -39? (a) 3/5 (b) -4 (c) 25
b
What is the closest to -1 in -9, -21, -0.4, 0.1?
-0.4
Which is the nearest to 22120? (a) 2 (b) -0.4 (c) 0 (d) 3
d
What is the closest to -4 in 0, -19, -17?
0
What is the nearest to -2178 in -15, -2, -1?
-15
What is the closest to -3/5 in 2/13, -2/7, 3, -0.0365?
-2/7
What is the nearest to 3 in 3, 15, 0, -0.1?
3
What is the closest to -0.4 in 0.04, 0.06, 0.16, -5, -0.1?
-0.1
Which is the nearest to -1? (a) 137 (b) -0.2 (c) -0.15 (d) -3 (e) 3
b
What is the closest to -12 in -5, -2, 3, -11?
-11
What is the nearest to 1/3 in -43, 0.4, -0.2, -174?
0.4
What is the nearest to -0.1 in -8, 4/299, 21, 2/7?
4/299
Which is the nearest to 8? (a) -7 (b) -0.16 (c) 0.7 (d) -0.3
c
What is the nearest to -60 in -2, 628, 1/9?
-2
Which is the nearest to 7560? (a) -5 (b) -1.8 (c) 1/3 (d) -3
c
What is the closest to 26.038 in -0.4, -2, 0.4?
0.4
Which is the closest to -1? (a) -80 (b) 3/4 (c) 0.4
c
What is the closest to -1/4 in -17, 0.2, -8, 69?
0.2
Which is the closest to 1? (a) 6 (b) 183 (c) -0.5 (d) -5 (e) -13
c
Which is the nearest to 2967? (a) 0.3 (b) -1 (c) -1/12 (d) -0.2
a
Which is the closest to -4/363? (a) 3/7 (b) 0.2 (c) -2/5 (d) 19
b
Which is the nearest to 0.1? (a) 133 (b) 0.3 (c) 5 (d) 3/5
b
Which is the closest to -41253? (a) 0.2 (b) -5 (c) -1/10
b
What is the nearest to 0.2 in 1.7, 0.1, 3/5, -4, -2?
0.1
What is the closest to -0.035 in -0.4, 1/513, -1/2, -2?
1/513
What is the nearest to 1 in -211, 0.8, -0.5, -3/4, -0.1?
0.8
What is the nearest to -62 in 5, -1/70, 0.3, -7/4?
-7/4
Which is the nearest to 2/5? (a) 25.8764 (b) 0.5 (c) 2 (d) 1 (e) 2/5
e
Which is the nearest to -0.02? (a) 27 (b) 3 (c) 0 (d) 54/11
c
Which is the nearest to 61? (a) -4 (b) -8.6 (c) -3
c
Which is the nearest to 2/5? (a) -1/6 (b) -0.1 (c) -4/3 (d) -1.1 (e) -159
b
Which is the closest to -1/54? (a) -48.2 (b) 0.2 (c) 0.1
c
What is the nearest to 6/29 in 52, -0.3, -0.2?
-0.2
Which is the nearest to -1/3? (a) 1/2653 (b) -0.1 (c) 2/15 (d) 2
b
Which is the closest to 0? (a) -1 (b) 9 (c) -207/11 (d) -0.1
d
Which is the nearest to 0? (a) 1011/5 (b) 0.3 (c) -3 (d) 0.5
b
What is the nearest to -2/7 in -3, 236, 0.35, 4/9?
0.35
What is the nearest to -1 in -15, -14, 317?
-14
Which is the nearest to -36/7? (a) -1 (b) 5 (c) 16/3 (d) 0.1
a
What is the closest to -1 in -2/1223, 4/3, -1.4, 1/6?
-1.4
Which is the closest to 0.02? (a) 2 (b) -40 (c) -0.5 (d) -7/5
c
What is the nearest to 26.9 in 1/3, 103, -6?
1/3
What is the nearest to -2 in 4, -0.034, -0.04, -2/7?
-2/7
Which is the nearest to 0? (a) 3 (b) -2/3 (c) 257
b
Which is the nearest to -1? (a) -4.4 (b) 1/4 (c) -15 (d) 2/7 (e) 5
b
What is the closest to -1 in -5, -2, -1, -1/5?
-1
What is the nearest to 0.52 in 0, 0.2, -3/11?
0.2
Which is the closest to 1/6? (a) 13 (b) 3/4 (c) 43
b
What is the nearest to 0 in -4/239, 0.5, 0, 2/7?
0
What is the closest to -8.3 in 1/4, -2/7, -4, -1.6?
-4
Which is the nearest to 1? (a) -2/105 (b) 30 (c) -4
a
Which is the closest to 1? (a) -2 (b) 2.1 (c) -3 (d) 1 (e) 0
d
Which is the nearest to 1? (a) -35.4 (b) 8 (c) 2/5
c
Which is the closest to 20/7? (a) -1 (b) 0.1 (c) -15 (d) 24 (e) -0.1
b
What is the closest to 2 in 69, -8/427, 0.2, 0?
0.2
Which is the closest to -0.13? (a) -1/2 (b) -4/9 (c) 0.2 (d) 1/19
d
Which is the closest to 8/37? (a) -3 (b) 5 (c) 1/8 (d) -2/7 (e) -29
c
What is the closest to 1/4 in 0.5, -0.4, 3047?
0.5
What is the nearest to -2 in -77.9, -4, -2/25?
-2/25
Which is the closest to 0.31? (a) -0.5 (b) 1 (c) 2/629 (d) 0.5
d
What is the closest to 329 in -0.7, 1/6, 0.4?
0.4
Which is the closest to -1/2? (a) -81 (b) 0.22 (c) 0.01 (d) -2
c
Which is the closest to -2/5? (a) -16 (b) 12/41 (c) -2 (d) 3
b
Which is the closest to -0.2? (a) 4 (b) -4 (c) 11 (d) -81
b
Which is the closest to -2/9? (a) -1/5 (b) 5 (c) 12/49 (d) -0.1
a
What is the nearest to -17 in 19.16, -5, -0.5?
-5
Which is the nearest to -1? (a) 0.245 (b) -5/9 (c) -0.1 (d) 2/7 (e) 0.2
b
Which is the nearest to 2/3? (a) 2/19 (b) 1/12 (c) 0.102 (d) -0.12
a
Which is the nearest to -0.02? (a) -4 (b) -0.064 (c) -2
b
What is the nearest to 9/2 in -3, -4, 0.05, -1?
0.05
What is the closest to 4/7 in 1, 266, -10?
1
Which is the nearest to -39? (a) 15 (b) 2/9 (c) 0 (d) -18/5
d
What is the closest to -2/3 in -1/3, 1/1680, -5?
-1/3
What is the nearest to 48 in -14/25, -2, 5?
5
Which is the closest to -1? (a) -6/5 (b) -208 (c) -5 (d) 0.03 (e) -13
a
What is the nearest to 0.1 in 1, -4.7, -5, -0.7, -9?
-0.7
Which is the closest to 3.894? (a) 1/7 (b) 4 (c) 0.4 (d) 3/4 (e) -0.5
b
Which is the closest to -3? (a) 53 (b) -3 (c) 0.2 (d) 87 (e) -2/3
b
What is the closest to -1 in 1/222, 5/11, -4, 0.5?
1/222
What is the nearest to -4/2561 in 1.6, 2, 2/5?
2/5
What is the closest to 4 in -3/7, -1/4, -10, 142, -0.4?
-1/4
Which is the closest to 6? (a) -2/7 (b) -2/15 (c) 1 (d) 0.4 (e) -8.3
c
What is the nearest to -5/3 in -11/16, 2, -4.2?
-11/16
Which is the nearest to 0.1? (a) -2.193 (b) 6/7 (c) -2
b
Which is the closest to 2? (a) 1 (b) -0.07 (c) 6374
a
Which is the nearest to -7263? (a) -11 (b) 1/4 (c) 3
a
Which is the closest to 6? (a) 0 (b) -0.56 (c) -12/13 (d) 2 (e) -5/3
d
What is the closest to -0.375 in 3, -2/7, 0.31?
-2/7
What is the nearest to 1 in -2/47, -5, -4, 1/5, -1/55?
1/5
Which is the nearest to 1? (a) 23 (b) 1009 (c) 2 (d) 0.4
d
What is the nearest to 0.2 in 1/5, -182, 7, 5?
1/5
What is the closest to -1/2 in 838, -4, 2/17, -3, 5?
2/17
Which is the nearest to 10? (a) 7 (b) 0 (c) 2 (d) -15
a
Which is the nearest to -1? (a) 8 (b) -0.2 (c) -3/8 (d) -3.6
c
Which is the closest to 0.8? (a) -2/5 (b) 3916 (c) -2/33
c
Which is the nearest to -80.25? (a) -1/3 (b) 7 (c) -1
c
Which is the closest to 0? (a) -2/13 (b) -7/8227 (c) -0.1
b
What is the nearest to 1 in 1, 0.32, 1.39, -0.5?
1
What is the nearest to 2 in 3, 6, 0.94, -1/6?
3
Which is the nearest to -3/2? (a) 374 (b) 0.4 (c) -6 (d) -3
d
Which is the nearest to 0? (a) -0.1 (b) 7 (c) -0.5 (d) -0.15
a
What is the nearest to -15 in -75, -2, -3?
-3
What is the nearest to -0.0044 in -10, 2/3, -0.09, -2/5, -5?
-0.09
Which is the closest to -27.1? (a) 2/167 (b) 3 (c) -0.1
c
What is the nearest to -1/3 in -0.5, -36/13, 10, 2/5?
-0.5
What is the closest to -4 in 2/11, -3, 5.72, 4?
-3
Which is the closest to -2/7? (a) 4 (b) 14/47 (c) 0.2
c
What is the closest to -88 in 3, -4, -1/787?
-4
Which is the closest to 0.2? (a) 4 (b) 0.358 (c) -0.14
b
What is the closest to 1/5 in 4, 0.5, 5, -30.7?
0.5
Which is the closest to 0? (a) 1.8 (b) 0.3 (c) 2 (d) 246 (e) 1/4
e
What is the nearest to 2/9 in 3, 1, 4, -0.08?
-0.08
What is the closest to 1.5 in 1/3, -1866, 0.5?
0.5
What is the nearest to -3 in -1/2, 0, 0.217, -4?
-4
What is the closest to 0.54 in 1, 0.02, -3.7, -3/7, -0.5?
1
What is the nearest to 0.4 in 1/4,
|
{
"pile_set_name": "DM Mathematics"
}
|
(m) = 5*m**3 + m**2 - m + 13. Let w(j) = -j**3 + j**2 - 1. Let d(c) = -l(c) - 6*w(c). Determine d(7).
0
Let x(b) be the first derivative of 2*b**2 + 5*b + 18. Calculate x(-5).
-15
Let u(d) = -2*d - 5. Let p be u(-10). Suppose 0 = -5*g + 15 + p. Let j(l) = -10 + 6*l**3 - 2*l**2 - g + l + 16. What is j(1)?
5
Let g = 39 - 44. Let z(u) = 4*u - 2. Give z(g).
-22
Suppose 0 = -4*u - 24 - 0. Let r be 1*u*1/(-3). Let z(j) = j - 4. What is z(r)?
-2
Let q(d) = d**2 + 9*d + 8. Let m be q(-8). Let i(u) = -4 + u**2 + 2*u + 0*u - 3*u. Calculate i(m).
-4
Let k = 20 + -22. Let c(v) = -6*v - 1. What is c(k)?
11
Let i be (-24)/(-28)*(1 - (-22)/6). Let x(n) = -n**3 + 3*n**2 + 6*n - 5. What is x(i)?
3
Let j = -2 + 2. Suppose -5*v + 5 = -5. Let x(f) = j*f + f**2 - 2*f**v + 2 + f - f**3. Determine x(0).
2
Let i(z) = z**3 + 3*z + 1 + 2*z + 7*z**2 + 4 + 2*z. Determine i(-6).
-1
Let b be -3 - (0 + 1 - 9). Let o(m) = b*m - m - 3 + 0*m - 3*m. Determine o(0).
-3
Let k = -4 + 7. Suppose -k*g = 1 - 16. Let l(w) = -w**2 + 5*w + 2. Determine l(g).
2
Let y(v) be the second derivative of -v**4/12 - 2*v**3/3 - 2*v**2 - 5*v. What is y(-4)?
-4
Let n(q) = q**2 + 3*q + 6. Let d be (11 + (0 - 2))*3. Let v be 4/18 + (-114)/d. Give n(v).
10
Let a(o) = o**2 - 27. Suppose -2*b + 5*b - 4*b = 0. Determine a(b).
-27
Suppose -n + 2*n = 4. Let v(m) = -m**3 - 4*m**3 + 3*m + 3*m**2 + 4*m**3 + 2 - 3. Determine v(n).
-5
Let n(h) = 2*h**3 - 2*h + 1. Let y(r) = -r**2 + 4*r + 3. Let x be y(4). Let m = x - 2. Give n(m).
1
Suppose 0 = -2*u - z + 2*z + 64, 0 = 5*u - 4*z - 160. Let w(p) = 2*p**2 + 0 - 1 - 31*p + u*p. What is w(-2)?
5
Suppose -9 = 9*g - 12*g. Let n(d) = -d + 5. Give n(g).
2
Suppose -6 = -6*n + 3*n. Let s(i) be the third derivative of 1/120*i**6 + 0*i - n*i**2 + 1/24*i**4 + i**3 - 1/60*i**5 + 0. What is s(0)?
6
Let g(z) = z**3 + 3*z**2 + 4. Let d be 174/15 + 4/10. Suppose 0 = 3*a - 7*a - d. Give g(a).
4
Let a(t) = t**2 - t. Let s(j) = -10*j**2 + 8*j + 2. Let z(c) = 6*a(c) + s(c). Calculate z(-2).
-18
Let u(m) = m**2 + 4. Let v(f) = -5 + 1 + 2*f - 3*f. Let t be v(-6). Let g be (3 - 3 - 0)/t. Determine u(g).
4
Let l(k) be the first derivative of k**4/4 - k**2 + k - 3. Let w be l(-2). Let r be w/((-1)/(2/(-3))). Let b(u) = -4*u + 2. Calculate b(r).
10
Let l be 4 - (0 - (2 + -3)). Let i(p) = 0*p - p**3 + 0*p**3 - 2*p**2 - l - 5*p + 3*p. Calculate i(-2).
1
Let g(r) be the third derivative of r**4/12 + r**3 + r**2 - 7. What is g(0)?
6
Let o(r) = 1 - 6*r + 5*r - r**2 + 2. Let a be (2/(-4))/(3/(-30)). Suppose 5*t = -f + t - 4, -3*f - a*t = 12. Give o(f).
-9
Let d(z) = -2*z**2 - 3*z - 1. Suppose -5*r + 85 + 35 = 0. Suppose 3*q + 6 = 5*m + 7*q, -r = 2*m - 5*q. Determine d(m).
-3
Let j(z) = z**2 - 3*z - 2 + 0*z + 0 + 0*z**2. Suppose -4*n - 14 = 2*r, -4*n = 2*r - n + 9. Give j(r).
-2
Let c(n) = -4*n**3 - 5*n + 12. Let h(x) = -x**3 - x**2 + 1. Let q(j) = c(j) - 5*h(j). Let y = 55 - 61. Calculate q(y).
1
Suppose 2*l + 0*l = 20. Let t = 10 - l. Let w(j) = j + 3. Calculate w(t).
3
Let i = 10 + -7. Let n be i*1/6*-6. Let r = 1 + n. Let t(d) = -d**3 - d**2 - 1. Determine t(r).
3
Let l(t) = 21 - 21 - 4*t**2 + t - t**3. Calculate l(-4).
-4
Let s be 2/(-4)*0/(-2). Let i(c) = -6*c**3 + c**2 + c - 3. Let m(q) = 5*q**3 - q**2 - q + 3. Let p(b) = -4*i(b) - 5*m(b). Give p(s).
-3
Suppose 6 = 4*o - 14. Suppose 4*n + o*g = 16 + 6, 2*n = 4*g - 2. Let t(x) = -x - 1 - 4 + 3 + x**2. What is t(n)?
4
Let c(w) = -w**2 - 3*w + 4. Suppose 0 = -2*o - 8 - 0. What is c(o)?
0
Let w(v) = -5*v - 1. Suppose -l - 4*b = 3, 4*l = 6*b - 2*b + 8. What is w(l)?
-6
Let h(n) = -n**2 + 4*n - 4. Let z(w) = -w + 7. Let m be z(0). Suppose j = x + m, -5*j - 4 = 4*x - 3. What is h(j)?
-1
Let l(j) be the first derivative of -j**4/4 + j**3/3 + 7*j**2/2 + j - 6. Let c(k) = k**3 - 7*k - 2. Let v(o) = -6*c(o) - 5*l(o). What is v(-6)?
1
Let n(p) = 7*p - 1. Suppose 0*k - 3*k + 5*r = 22, 20 = -5*k + 5*r. What is n(k)?
6
Suppose 0 = 4*d - 9*d + 25. Let l(w) = -w**3 + 5*w**2 - w + 7. Give l(d).
2
Suppose a = -5*m - 10, -m - 10 = -a + 4*m. Let d(z) = z**2 + 3*z + 1. Let u be d(-4). Let y(i) = i + 2*i + a + u. What is y(-4)?
-7
Let z(l) = l**3 - l. Let q be z(-1). Let j(y) = 0*y + q*y**2 - y**3 - y - 1 + 0*y**2 - y**2. What is j(-1)?
0
Let d(t) = -134*t - t**2 - 2 + 65*t + 62*t. Determine d(-6).
4
Let h = -119 + 239/2. Let v(s) be the second derivative of -h*s**2 + 0 - 4*s + s**3. Give v(-1).
-7
Let o(b) = 6*b. Let k(f) = -7*f. Let s(u) = -5*k(u) - 6*o(u). Determine s(6).
-6
Let l(k) = 7*k - 1. Let c(g) = -6*g + 1. Let x(j) = 5*c(j) + 4*l(j). Give x(1).
-1
Let n be (-4)/(-6) + (-8)/(-6). Let v = 4 - n. Suppose -i = v*i. Let p(d) = -d + 8. Calculate p(i).
8
Let d be (-84)/(-45) + (-14)/(-105). Let a(o) = -3 + 4 + 0 - o**3 - o. Give a(d).
-9
Let t(p) = -7*p. Let j(i) = i + 13. Let o be j(-12). Suppose b = 1 + o. What is t(b)?
-14
Let f(z) be the third derivative of -z**4/24 - 2*z**3/3 + 9*z**2. Determine f(4).
-8
Let g(h) = 8*h**2 - 3 - 3*h**2 - 6*h**2 + h. Let a(l) = l - 3. Let r be a(3). Determine g(r).
-3
Let k(v) = -v**2 - 3 + 5*v - 14 + 11. Calculate k(4).
-2
Suppose -3*m = -9 + 15. Let b(h) = h**3 - h**2 + 1. Determine b(m).
-11
Let a(l) = 3*l - 3. Let b be 2/(2/((-12)/(-3))). Let q(s) = -s**3 + 5*s**2 - 5*s + 4. Let c be q(b). Suppose c = -3*j + 9 - 3. Give a(j).
3
Suppose 12*c = 9*c + 3. Let n(a) = 6*a. Calculate n(c).
6
Let g = 5 - 4. Let h(b) = -b**2 + 7*b + 2. Let i be h(7). Let u(l) = i*l**2 + 3 - 4 + 2. Give u(g).
3
Let q(h) = -4*h**3 - h**2. Suppose -3*u - 3 + 12 = 0. Suppose 7*r - 4*r + 3 = -4*m, 3*m - u = 3*r. What is q(r)?
3
Let l(d) = -2*d + 4. Let s(z) be the third derivative of z**4/24 - z**3/6 + 5*z**2. Let v(h) = -2*l(h) - 2*s(h). Determine v(6).
6
Let l(w) = -w + 7. Let y(z) be the second derivative of -z**3/2 - 3*z**2 - z. Let h be y(-4). Determine l(h).
1
Let r(p) = 2*p**3 + 5*p**2 - 4*p - 5. Let t(k) = k**2 - k - 1. Let y(v) = -r(v) + 4*t(v). Let j be y(-1). Let w(a) = 113*a + 0 + 2 - 111*a. Determine w(j).
6
Let v(o) = 6*o**3 - 6*o**2 + 4*o - 5. Suppose -2*w = -0*w - 2. Let m(f) = -f**3 + f**2 - f. Let p(q) = w*v(q) + 5*m(q). What is p(0)?
-5
Let t(j) = 5*j**2 - 1. Let c(x) = 0 - 3 + x**2 - x + 2. Let p = -16 + 15. Let r(b) = p*t(b) + 2*c(b). Determine r(-1).
-2
Suppose 0 = -a - 1 + 3. Let d(n) = a*n**3 - 2*n - n**3 - 3*n**2 + 4*n + 3. Let w be 10/20 - (-5)/2. Determine d(w).
9
Let p(u) = -u + 1. Let n(l) = l**3 - 9*l**2 - 10*l - 5. Let c be n(10). What is p(c)?
6
Suppose -v + 3*l + l - 21 = 0, 4*l - 1 = -3*v. Let r(f) = f + 3. Calculate r(v).
-2
Let o(r) be the second derivative of -r**6/360 + r**4/6 - 6*r. Let q(p) be the third derivative of o(p). Give q(1).
-2
Let m = -17 - -25. Let u = m - 4. Let g(z) = z + 7 - 21 + 15 + 0*z. Calculate g(u).
5
Let g(w) = -7*w + 3. Suppose 5 = 4*l - 3. What is g(l)?
-11
Suppose -97 = 20*h + 3. Let v(r) be the second derivative of -r**4/12 - 7*r**3/6 - 5*r**2/2 - r. Determine v(h).
5
Suppose 0*f = -f + 1. Let r(v) = 4*v + 0 + 0*v + v**2 - 4 + f. What is r(-6)?
9
Let x(j) = -j**2 - 12*j - 16. Let z(u) = -u**2 + 4*u - 7. Let w be z(7). Let b = w - -17. Let h be x(b). Let n(s) = s**2 + 5*s + 1. Give n(h).
1
Let w = -10 - -14. Let s(r) = w*r - 2*r - r - 3*r + 4. Give s(5).
-6
Let h = -4 + 4. Let z(y) = y**3. Let c be z(h). Let b(t) = -t**2 + t + 3. Give b(c).
3
Let v(w) = w - 1. Suppose -9 = -4*r + r. Suppose -q + 5*q = -3*b + 27, -r*q + 5*b + 13 = 0. Suppose -q*a + 3*a - 17 = -4*g, -4*a + 5*g - 22 = 0. Calculate v(a).
-4
Let n(m) = 6 + 1 + 0 + 7*m - 6*m. Determine n(0).
7
Let f(w) = -2*w**2. Let b be f(2). Let d(a) = -2*a**2 - 3. Let m(o) = 5*o**2 + o + 9. Let l be (4*1/8)/(3/(-18)). Let u(v) = b*d(v) + l*m(v). Determine u(5).
7
Let w(t) = -2*t + 24. Let s be w(12). Let k(v) be the first derivative of v**3/3 - 4*v + 1. Give k(s).
-4
Let b be ((-7)/(-3) + -2)*27. Let h be 3/b + (-10)/3. Let i(c) = c + 1. What is i(h)?
-2
Let p(r) = -7. Let o(a) = a + 30. Let q(i) = -2*o(i) - 9*p(i). Give q(4).
-5
Let r = -63 - -96. Suppose -r = -5*w + 27. Suppose -w = -2*f + 5*d, -7*f + 3*f + 2 = d. Let z(y) = -6*y**3 + y**2 - 2*y + 1. Determine z(f).
-6
Let t = 4 + -3. Let n(a) = a. Let y(s) be the third derivative of -s**4/12 - s**2. Let c(w) = -6*n(w) - 5*y(w). Determine c(t).
4
Let r be -1*3/(-3) - -1. Let k b
|
{
"pile_set_name": "DM Mathematics"
}
|
2/51
Which is the nearest to 0.73? (a) -1 (b) 0 (c) 5 (d) 2/3 (e) -2/3
d
Which is the nearest to 1? (a) -1/2 (b) 0.4538 (c) 2/13
b
Which is the nearest to -5? (a) 0.01 (b) 0 (c) 19/5
b
Which is the closest to 2/245? (a) 2/3 (b) 1/2 (c) 5 (d) -0.2
d
Which is the nearest to 0.06? (a) 799 (b) -4 (c) 5 (d) 10
b
What is the closest to -87 in 2, -5/6, 3, 2/11, 1/3?
-5/6
What is the closest to 131 in 5, -0.3, -1/5?
5
What is the closest to 11 in 1, -122, -4, 0.1?
1
Which is the closest to -0.3? (a) -5/4 (b) -609 (c) -3 (d) -1
d
What is the nearest to -1 in -17/4, 2/35, 0.0229?
0.0229
Which is the closest to -2/11? (a) 3 (b) -7 (c) 6 (d) 29/2 (e) -2
e
Which is the nearest to 2/9? (a) 167 (b) 4 (c) -19
b
Which is the closest to 0.2? (a) 4/15 (b) 2/531 (c) -0.5
a
What is the closest to 16 in 21/2, 2/13, 1?
21/2
Which is the nearest to -0.1? (a) 1 (b) 0 (c) 0.1262096 (d) -1/7
d
Which is the closest to 1/511? (a) 1/2 (b) 4 (c) -1 (d) 1/4
d
What is the closest to -21/5 in -0.34, 1/4, -2?
-2
What is the nearest to -2 in -4/7, 3/5, -2/3, -24, 39/10?
-2/3
What is the nearest to 0.055 in -0.001, -1/4, -0.5, -0.2, -4?
-0.001
Which is the closest to -2? (a) 5220 (b) 2/5 (c) -21
b
What is the nearest to -35 in -0.1, 3/41, -4?
-4
What is the nearest to 1 in -5, -2/9, -4.1, 102?
-2/9
Which is the closest to 1? (a) 1/10 (b) -6 (c) -17/2 (d) 0.02
a
What is the closest to -75 in 3/2, 1/130, 1/7, -5/3?
-5/3
Which is the nearest to 22? (a) -2 (b) 0.1 (c) 0.0651 (d) -1
b
What is the closest to -0.8 in 0.2, -3075, 3, 5?
0.2
What is the nearest to -3 in -18, 2, -774?
2
Which is the nearest to 5? (a) 0 (b) 0.02 (c) -5 (d) -4 (e) 0.8
e
What is the nearest to 4 in -0.0565, -1/2, -2/9, 2/49?
2/49
Which is the closest to 2/13? (a) -0.2 (b) 25 (c) 83
a
Which is the closest to 0? (a) 2607 (b) -5 (c) -7 (d) -3
d
Which is the closest to -1.23? (a) -1 (b) -5 (c) 0.1 (d) -3
a
Which is the nearest to 0.1? (a) 35/2 (b) -3 (c) -1/4 (d) -1/26 (e) -86
d
Which is the closest to -13? (a) -1 (b) 65/2 (c) -10
c
What is the nearest to -0.2 in 1, -3/10, -1/3, 0.63, 23?
-3/10
What is the closest to -2494 in 0, -1, 1/5?
-1
What is the closest to 15/2 in 0.1, 13/36, 2?
2
What is the nearest to -3/2 in -12, 2, -3, 1/7, 26.5?
-3
What is the closest to 1.45 in 8.87, -0.1, -5?
-0.1
What is the closest to -0.13 in 0.03, 26, 3/4, 4?
0.03
Which is the closest to 0.8? (a) -1 (b) -0.248 (c) 0
c
Which is the nearest to -2? (a) -1 (b) -41 (c) 3/7
a
What is the closest to -3 in -3, -120, 0, 14?
-3
Which is the nearest to -0.1? (a) 0.5 (b) 0 (c) 0.090024
b
What is the nearest to 3.3 in 4/3, 2, -3/13?
2
What is the closest to -0.159 in -3/5, 3/4, -2/9?
-2/9
What is the closest to -3.032 in -0.6, -2/5, -0.3, -4, 0.5?
-4
What is the nearest to -3/11 in 1, -173, -14?
1
Which is the nearest to 68? (a) -4 (b) 0.22 (c) 3/4 (d) 1
d
What is the closest to -22/43 in -2/15, 0.5, 2?
-2/15
What is the nearest to 5 in -57, 0, 0.2, 5?
5
What is the closest to 55 in -0.4, 7, 0, 0.1?
7
What is the nearest to 2/13 in -1/3, 0.3, 2?
0.3
Which is the closest to 2? (a) 8 (b) -67 (c) 0.1 (d) 2 (e) 2/11
d
What is the closest to -11 in 3, 53/24, -11, 4?
-11
What is the closest to 19 in -1.189, 0.2, 0.1?
0.2
What is the nearest to -0.1 in 5, 8/921, 2/3, 0.2?
8/921
What is the closest to 30/13 in -11/24, 5, 0.04?
0.04
Which is the closest to 3005? (a) 0.1 (b) 0.3 (c) -4
b
What is the nearest to 17/9 in -525, -0.5, 5/6?
5/6
Which is the nearest to -1? (a) -93/7 (b) 9 (c) -0.5
c
What is the nearest to -1 in -3/4, 6/47, -0.0126?
-3/4
What is the nearest to 0 in -0.07, -1.92, -4/5, -4?
-0.07
Which is the closest to -150? (a) -3/2 (b) 5 (c) 12
a
Which is the nearest to 7528? (a) -0.4 (b) -4 (c) 1 (d) 0.4
c
Which is the closest to -22? (a) -0.092 (b) 0.4 (c) 4 (d) 2/15
a
What is the nearest to 0.05 in 1, -2/17, -0.003, 2/5?
-0.003
What is the nearest to -0.1 in 0.02187, 9, -5, 0.5?
0.02187
What is the closest to -0.1 in -14/991, -14, -1/2?
-14/991
What is the closest to 104 in -3, 21/4, 2?
21/4
Which is the closest to -0.1? (a) 1 (b) -63 (c) 0.184
c
What is the nearest to 0.5 in -59, 11/5, -1?
-1
Which is the nearest to -1? (a) -1.1 (b) 0.1 (c) 2/5 (d) 2/33 (e) -2/7
a
Which is the nearest to 9? (a) -1/55 (b) -4 (c) -2 (d) -4/7 (e) -3/23
a
What is the nearest to 2/9 in 4.4, 5, -1102?
4.4
What is the nearest to -2 in -1/7, -0.1, 0.092, -0.037?
-1/7
What is the nearest to 0.2 in -5/4, 36, -1.9?
-5/4
What is the nearest to 0 in -3, 2/9, -21/1460, -1/7?
-21/1460
What is the nearest to 2/149 in -0.3, 18, -2?
-0.3
Which is the closest to -27? (a) 44 (b) 0.1 (c) -0.4 (d) -0.5 (e) 3/7
d
What is the nearest to -3 in 0.4, -896, 0, -2/7, -5?
-5
What is the closest to 1.9 in 3, 132, -9/2?
3
What is the closest to 0.03 in -2, -4, -4/7, -1/12?
-1/12
Which is the closest to 69? (a) 1 (b) -2 (c) -1/4 (d) -0.21
a
What is the closest to 0.03 in -0.05, -4, 268/17?
-0.05
Which is the nearest to -163? (a) 0.4 (b) 185 (c) -0.5 (d) -3
d
What is the closest to -13 in 4/3, -0.5, -0.0001, 0.1?
-0.5
What is the closest to 0.1 in -58, -5/414, 0.4?
-5/414
Which is the closest to 0.13? (a) 4 (b) 11 (c) 1/2 (d) -23
c
Which is the closest to 0? (a) 2/337 (b) 0 (c) -0.2 (d) -3/20
b
Which is the closest to -2? (a) -11 (b) 5/11 (c) -39/5 (d) -1/3
d
What is the nearest to 0 in 5, 0.3, -32?
0.3
What is the closest to 73 in -4, 0.3, 0.2, 2/5?
2/5
Which is the closest to -258? (a) -0.05 (b) 2 (c) -0.5 (d) 1/8 (e) -3/2
e
Which is the closest to -2/9? (a) -0.013 (b) 1/8 (c) 2
a
Which is the closest to 2/7? (a) 2 (b) -0.2 (c) -10.1 (d) 22 (e) -1/2
b
Which is the closest to 89? (a) 4 (b) -0.05 (c) 4/3 (d) 2
a
Which is the closest to 0? (a) 8 (b) 1/23 (c) -4 (d) -11 (e) -19
b
What is the closest to 0.1 in -45/22, 4, -66/13?
-45/22
What is the nearest to -6 in -2/7, 2/7, 3?
-2/7
Which is the nearest to -1? (a) 9 (b) -2 (c) -30 (d) -5/4 (e) 4
d
What is the nearest to 2/23 in -3/2, -2, -1/3, -58?
-1/3
What is the nearest to 0.1 in -2/13, 1.48, -6/7, -4/3, -3?
-2/13
What is the closest to 9469 in -1/11, -5/4, 1, -1/8?
1
What is the nearest to 199100 in 0.5, -2, 8?
8
What is the closest to -1.04 in -0.11, -0.3, -1.2, 2/3, -1/8?
-1.2
What is the nearest to -5 in -6, -22, -0.1, 0.1?
-6
What is the closest to 9 in 13, -0.02, 557?
13
What is the closest to 0 in -12/413, -0.2, -6?
-12/413
Which is the nearest to -1? (a) -3139 (b) -5 (c) -56 (d) -1/4 (e) -0.5
e
Which is the nearest to 2? (a) 2/11 (b) 697 (c) -6
a
What is the closest to 0 in -0.12, 13/7, 3/5, 3?
-0.12
Which is the nearest to -1? (a) 2.81 (b) 0.9 (c) -2/7
c
Which is the nearest to -0.7? (a) 3 (b) 4/5 (c) -0.7 (d) -36 (e) 19
c
What is the nearest to -9/5 in -14, 4, 2, -1/5?
-1/5
What is the closest to 2 in -0.89, 19, 1/8, 5?
1/8
Which is the nearest to 9? (a) 36 (b) 47 (c) -3
c
What is the closest to 0.1 in 4, 1/3, -2/11, 9, -2.7?
1/3
Which is the closest to 38? (a) 4 (b) 67 (c) -0.2 (d) 2/7 (e) -2
b
What is the nearest to 14 in -0.2, -0.3, 14, -2?
14
What is the nearest to -0.2 in -3.2, -2/93, 0.3?
-2/93
Which is the closest to -1? (a) -2 (b) 2 (c) -23/27 (d) -16/5
c
Which is the nearest to -1.1? (a) 2/19 (b) 465 (c) -4
a
Which is the nearest to 64? (a) 2/13 (b) -62 (c) 0.06
a
Which is the nearest to 38076? (a) -0.6 (b) -0.5 (c) -4
b
What is the closest to -80 in -5, -0.01, -2/9, -0.2?
-5
Which is the closest to -3/2? (a) 281 (b) 3/4 (c) -0.3
c
What is the nearest to -35 in -3, 6, 3, 0.3, 0.02?
-3
Which is the nearest to 1.5? (a) 194 (b) 1 (c) 12/5
b
What is the nearest to -289 in -13, 3, 5/3?
-13
What is the nearest to -829 in -3/4, -1/4, 0.2, 4, 2?
-3/4
What is the nearest to -2/1165 in 4, 0.5, 5, 6?
0.5
Which is the closest to 1.48? (a) 0.3 (b) -52 (c) -4
a
Which is the nearest to -0.1? (a) 1/43 (b) 5/2 (c) 3 (d) 5 (e) 0.02
e
Which is the closest to -2/19? (a) -0.8 (b) 57 (c) 4/7 (d) -1/13
d
What is the nearest to -1/2 in 0.4, -3/76, -2/7, -0.5, -5?
-0.5
What is the closest to -2/7 in -5, -22.47, -2?
-2
What is the closest to -5079 in 5, -0.4, -1?
-1
What is the nearest to 2 in 0.23, 2, -3, 2.9, -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2. Suppose 0*f - 12 = -2*f. Let o be -3*(2 - (-8)/f). Let v be ((-2)/4)/(1/o). Let k(n) = 4*n - 2. What is v*q(m) + 6*k(m)?
-m - 2
Let d(r) = -14*r**3 + 4*r**2 - 4*r - 6. Let z(n) = n**3 - n**2 + n + 1. Give -d(k) - 4*z(k).
10*k**3 + 2
Let b(m) = m**2. Suppose 4*g - 25 = 23. Let v be (2/3)/(g/18). Let f(x) = x**2. Give v*b(u) - 2*f(u).
-u**2
Let q(v) = -5*v**2 + 9*v - 11. Let l(n) = -n**2 + 12*n - 9. Let c be l(9). Let j(w) = 1 - c*w + 2*w**2 + 14*w + 4. What is 7*j(m) + 3*q(m)?
-m**2 - m + 2
Suppose 1 = 4*l - l - k, 4*l - 2 = k. Let x(j) = -j. Let c(p) = 6955 + 4*p - 6955. Give l*c(v) + 2*x(v).
2*v
Let h(j) = -5*j**3 - 3*j**2 + 3*j + 3. Suppose 2*o + 0 - 12 = 0. Let c(r) = 5*r**2 - o*r + r + 0 - 5 + 10*r**3 - r**3. Calculate -3*c(z) - 5*h(z).
-2*z**3
Let t(r) = -8*r**2 + 7*r - 8. Let v(b) be the second derivative of -b**4/12 + b**3/6 - b**2/2 + 22*b. Give -t(n) + 6*v(n).
2*n**2 - n + 2
Let x(u) = -2*u**2 - 2*u + 5. Suppose -12 = -8*d + 28. Let b(m) = 3*m**2 + 2*m - 6. Determine d*b(n) + 6*x(n).
3*n**2 - 2*n
Let j(t) = -1. Let i(b) = 45*b + 75. What is -i(w) - 75*j(w)?
-45*w
Let v(h) = -h**2 - 7*h - 15. Let m(y) = -2*y - 5. What is 7*m(l) - 2*v(l)?
2*l**2 - 5
Let u(f) = 13*f**2 + 4*f + 6. Let i be 1/(2*(-2)/28). Let x(b) = b. Let k be x(5). Let c(j) = 6*j + 4 - 3*j**2 - 3*j + 12*j**2. What is i*c(y) + k*u(y)?
2*y**2 - y + 2
Let o(n) = -12*n**3 + 15*n + 15. Let g(s) = s**3 + s + 1. Give -30*g(m) + 2*o(m).
-54*m**3
Let f(g) = -19*g**3 + 2*g**2 - 3*g - 3. Let u(v) = -18*v**3 + 2*v**2 - 4*v - 4. Calculate -4*f(q) + 3*u(q).
22*q**3 - 2*q**2
Let v(p) = -2*p**2 - 2*p + 3. Let y(r) = 2*r**2 - r - 6. Let q(t) = -t**2 + t + 3. Let a(h) = 5*q(h) + 3*y(h). Give -4*a(j) - 3*v(j).
2*j**2 - 2*j + 3
Let c be -8*2/(-6)*3. Suppose 0*u = -2*u + c. Let p(z) = -z + z**2 + z**3 - u + 1 + 4. Let a(t) = 4*t**3 + 6*t**2 - 8*t + 6. Give a(r) - 6*p(r).
-2*r**3 - 2*r
Let k(l) = 7*l**3 + 3*l**2 - 3. Let a(u) = -35*u**3 - 14*u**2 + 14. Determine -3*a(w) - 14*k(w).
7*w**3
Let w(v) = 33*v**2 + 30*v**2 - 61*v**2. Let i(f) = -f**2 - f + 1. Suppose l + 2*b - 3 = 0, 0*l - b + 9 = -2*l. Let p = 2 + l. Give p*i(r) - w(r).
-r**2 + r - 1
Let m(k) = 5*k**2. Let t(r) = 2*r**2 + 8*r**2 - 11*r**2. What is -2*m(s) - 9*t(s)?
-s**2
Let f(g) = -3*g**3 - 3*g**2 + 2. Let u(h) = 4*h**3 + 4*h**2 - 2. Suppose 7*l + 23 + 12 = 0. What is l*f(x) - 4*u(x)?
-x**3 - x**2 - 2
Let n(s) = 6*s**3 - 13*s + 13. Let p be 1515/(-39) + (-6)/39. Let o(a) = a**3 - 2*a + 2. Give p*o(d) + 6*n(d).
-3*d**3
Let s(m) = -m - 5. Let x(f) = -10*f - 45. Calculate -35*s(t) + 4*x(t).
-5*t - 5
Let y be (2*28/8)/(-2 - -3). Let h(m) = -1 - 4 + 3*m - m. Let w(v) = -v**3 - 2*v**2 + 2*v. Let d be w(-3). Let n(a) = -4*a + 11. Determine d*n(b) + y*h(b).
2*b - 2
Let k(l) = -l - l**2 - 1 + 3*l - l. Let q(m) = 4*m**2 - 2*m + 1. Suppose -12 = -5*n + i, 0 = -4*n + 8*n + 3*i - 21. Give n*k(s) + q(s).
s**2 + s - 2
Let l(k) = -2*k + 4. Suppose h + 7 + 7 = -5*y, 10 = -2*h - 4*y. Let w(v) = -3 + h + 1. Determine l(i) + 6*w(i).
-2*i - 2
Let o(m) = -19*m**2 - 5*m - 13. Let p(h) = 19*h**2 + 6*h + 13. Let y(n) = 6*o(n) + 5*p(n). Let r(f) = -3*f**2 - 2. Suppose s - 5*s = 24. Give s*y(w) + 39*r(w).
-3*w**2
Let q(x) = x**3 - 4*x + 2. Let w(y) = 2*y**3 - 3*y + 2. Give -3*q(u) + 4*w(u).
5*u**3 + 2
Let n(v) = 5*v**3 + 6*v**2 - 2*v. Let u(i) be the first derivative of -3*i**4/2 - 7*i**3/3 + i**2 + 10. Calculate -7*n(c) - 6*u(c).
c**3 + 2*c
Let p(v) = -4*v + 11. Let n(m) = -3*m + 10. Give 7*n(o) - 6*p(o).
3*o + 4
Let w(t) = 2*t + 17. Let x be w(-7). Let s(l) = 2*l**3 - 2*l**2 + 3*l + 3. Let k(r) = 2*r**3 - r**2 + 2*r + 2. Give x*k(i) - 2*s(i).
2*i**3 + i**2
Let x(c) = c**3 - c. Suppose -2*g + g = -3. Let o = 6 - g. Let w(v) be the third derivative of -v**6/24 + v**4/8 + 3*v**2. What is o*x(l) + w(l)?
-2*l**3
Let n(a) = -2*a**2 - 3*a + 2. Suppose 0 = -3*o + 3*s - 0*s + 15, -o - 4*s = 5. Let k(b) = -13*b - 3 - o*b**2 - 5*b**2 + 12. What is -2*k(v) + 9*n(v)?
-2*v**2 - v
Let u(q) = q**3 - 5*q. Let b be 111/(-27) + (-3)/(-27). Let x(m) = -4*m. What is b*u(k) + 5*x(k)?
-4*k**3
Let x = 20 + -11. Let a(s) = 2. Let g(j) = -j + 9. Determine x*a(h) - 2*g(h).
2*h
Let b(i) = i - 1. Let l be b(5). Let s(k) = -k**3 + l*k - 18 + 18. Let d(u) = 4 - 3*u - 4 + u**3. Give 7*d(q) + 5*s(q).
2*q**3 - q
Let m(v) = -8*v. Let x(f) = 7*f + 1. Let k(s) = -6*m(s) - 7*x(s). Let u(n) = 3. Let p(i) = 8. Let o(c) = -p(c) + 3*u(c). Calculate -k(y) - 6*o(y).
y + 1
Let x(n) = -2. Let j(b) = b + 3. Give 3*j(r) + 4*x(r).
3*r + 1
Let d(x) = -x - 2. Let v(z) = -z - 1. Give 4*d(b) - 7*v(b).
3*b - 1
Suppose -2*q + q = 3. Let n(y) = 9*y - 4 + 3 + 5 + 3. Let h(p) be the second derivative of -5*p**3/6 - 2*p**2 - p. What is q*n(s) - 5*h(s)?
-2*s - 1
Suppose v = -3*v - 24. Let z(b) = -9*b - 5*b + 17*b**3 + b - 4*b**2. Let c be 640/24 + (-2)/3. Let y(l) = 4*l**3 - l**2 - 3*l. Calculate c*y(t) + v*z(t).
2*t**3 - 2*t**2
Let t(s) = 2*s**2 - 2. Let y be t(-2). Let x(m) = -6*m**2 + m**3 + 1 + y*m - 5*m + 7*m**2. Let h(z) = 2*z**3 + 3*z**2 + z + 3. What is h(f) - 3*x(f)?
-f**3 - 2*f
Let q(b) = -b**3. Let x = 22 + -23. Let k(z) = 5*z**3 - z. Determine x*k(y) - 4*q(y).
-y**3 + y
Let n(i) = i**2 + 5*i + 1. Let w(o) be the third derivative of o**4/24 + 6*o**2. Determine n(f) - 6*w(f).
f**2 - f + 1
Let f(c) = 26*c**3 - c**2 + 8 + 6*c - 19*c**3 + 2*c**2. Let h(z) = -11*z - 4*z**2 - 15 - 18*z**3 + 5*z**3 + 2*z**2. Give 11*f(t) + 6*h(t).
-t**3 - t**2 - 2
Let k(o) = 4*o**3 - 6*o**2 + 1. Suppose -3*n + 46 = 4*i - n, i - 2*n = 9. Let u(p) = 1 - 18*p + 7*p**3 + 18*p - i*p**2 + 1. Determine -11*k(g) + 6*u(g).
-2*g**3 + 1
Let n(u) be the second derivative of -u**5/20 - u**4/6 - u**3/6 + u**2/2 + 2*u. Let d(h) = h**2 - 1. Let j(r) = r + 4. Let f be j(-3). Calculate f*d(y) + n(y).
-y**3 - y**2 - y
Let j(c) = -3*c**2 + 2*c. Let n(r) = -r**2 + r + 6. Let i(h) = -h**2 + h + 7. Let f(p) = 6*i(p) - 7*n(p). Let o = 6 - 2. Determine o*f(y) + 2*j(y).
-2*y**2
Let x(t) = -92*t**2 - 5*t - 8. Let r(c) = -31*c**2 - 2*c - 3. Determine -8*r(a) + 3*x(a).
-28*a**2 + a
Let d(t) = -2*t + 1. Let o(y) = 2*y - 1. Let j = -20 + 11. Let v = 12 + j. What is v*d(s) + 2*o(s)?
-2*s + 1
Suppose -t + 0*t = -6. Suppose -x + 18 = t. Let b(o) = -10*o**2 + 12*o - 12. Let m(z) = 4*z**2 + 1 - 4*z**2 - z + z**2. Give x*m(n) + b(n).
2*n**2
Let r(b) = -b**2 - 1. Let m(s) = 3*s**2 - 2*s + 2. Determine m(q) + 4*r(q).
-q**2 - 2*q - 2
Let v(j) = -2*j**2 + 2*j + 1. Let g(s) = -s**2 + s + 1. What is -4*g(p) + v(p)?
2*p**2 - 2*p - 3
Let y(v) = -1. Let d(l) be the first derivative of -l**3/3 + l + 1. Give 2*d(g) + 5*y(g).
-2*g**2 - 3
Let m(k) = 3*k + 3. Let h(a) = -a - 1. Let f(t) = -7*h(t) - 2*m(t). Let x(j) = 5*j + 4. Calculate 3*f(s) - x(s).
-2*s - 1
Let c(l) = 6*l**3 - 2*l**2 + 2*l + 2. Let d(h) = -6*h**3 + 3*h**2 - 3*h - 3. What is -3*c(n) - 2*d(n)?
-6*n**3
Let f(b) = -b**3 - 3*b**2 - 3*b - 1. Let j(h) = -3 - 3*h**3 + h - 9*h - 8*h**2 + 0*h. What is 8*f(a) - 3*j(a)?
a**3 + 1
Let y(z) = 8*z**3 + 2. Let b(r) = r**3. Suppose 0*l - l + 1 = 0. Give l*y(f) - 6*b(f).
2*f**3 + 2
Let k(j) = -2*j**3 - 9*j - 3. Let c(b) = -4*b**3 - 17*b - 5. Give 4*c(n) - 7*k(n).
-2*n**3 - 5*n + 1
Let s(l) = -2*l**2 - 7*l - 4. Let b(p) be the third derivative of p**4/24 + p**3/6 + 3*p**2. Determine 5*b(i) + s(i).
-2*i**2 - 2*i + 1
Let s(u) = 2*u + 0*u - 2*u**2 - u**3 + 3*u**3 - 3*u**3. Let g = 2 + 0. Let b(o) = o**3 + 3*o**g - 2*o + 0*o**3 + o**3 - o. What is -2*b(r) - 3*s(r)?
-r**3
Let n(l) = 2*l**2 - l - 6. Let c(v) = -v**2 + 2*v + 6. Let u(x) = -5*c(x) - 4*n(x). Let h(w) = -4*w**2 - 7*w - 7. What is 6*h(q) - 7*u(q)?
-3*q**2
Suppose -3*s - 8 = w + 2, 0 = 5*w - 4*s - 7. Let u(m) = 8*m**2 + 5*m + 5. Let c(p) = -p**2 - p - 1. Calculate w*u(f) - 6*c(f).
-2*f**2 + f + 1
Let j(v) = 2*v. Let b(w) = 3*w. Suppose 5*q - 18 = 2*m, -7*m - 36 = -3*m + 5*q. Determine m*j(n) + 5*b(n).
-3*n
Let k(u) = 5*u**3 + 5*u**2 - 8*u - 8. Let f(y) be the second derivative of y**5/10 + y**4/6 - y**3/2 - 3*y**2/2 + 26*y. Calculate -8*f(g) + 3*k(g).
-g**3 - g**2
Let t(u) = -u**2 - u - 1. Let l(p) = 6*p**2 + 5*p + 5. Let v(x) = 0 + 2*x + 4 + 2. Let w be v(-4). Determine w*l(c) - 10*t(c).
-2*c**2
Let a(h) = -3*h - 11*h**3 - 8*h - 9*h**2 - 2 - 11. Let w be (-5 - 108/(-20)) + 22/(-5). Let q(c) = -5*c**3 - 4*c**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2*t**4)*(-47*t + 11*t - 68*t - 25*t).
-258*t**5
Expand (0*m**2 - m**2 + 12 - 10)*(7*m + 14*m - 8*m).
-13*m**3 + 26*m
Expand (2*l + 4 - 4)*(3 + l - 5 + 0*l).
2*l**2 - 4*l
Expand (1008*o + 3659*o + 798*o + 4026*o - 1975*o)*(5 - 2 - 4).
-7516*o
Expand (1 - 8*m - 10*m + 32*m)*(1 - 1 + 1).
14*m + 1
Expand (1 - 3 + 3)*(8 + 3 - 21)*(3*g - 3*g - 5*g).
50*g
Expand (3*z**2 - 5*z**2 - 2*z**2)*(29 - 469*z + 32 - 61).
1876*z**3
Expand -t**5 - 3*t**4 + 3*t**4 + (-11*t + 44*t**2 + 11*t)*(4*t**2 + 0*t**2 - 3*t**2)*(-1 + 1 + 4*t).
175*t**5
Expand (2 + 7 - 11)*((-1 - t + 1)*(-3 + 5 - 3) + t + t + 0*t + (3*t - 3*t - t)*(3 - 6 + 0)).
-12*t
Expand (-2 + 3 + 1 + (-2 - 5 + 5)*(-5 + 4 + 4) + 0 + 1 + 1)*(-u**2 + 0*u**2 - 4*u**2).
10*u**2
Expand (8*k + 7*k - 2*k)*(0*k**2 + 5*k**2 - 4*k**2) + (4 - 4 + k)*(0 + 4 - 2)*(15*k**2 + 20*k**2 + 9*k**2).
101*k**3
Expand (-g + 6*g - 3*g)*(4 - 1 + 1) + (-4 + 5 + 1)*(-7*g - 5*g + 8*g) + g - 4*g + g.
-2*g
Expand (58*h**4 + 30*h**4 - 48*h**4)*(2 + 2 - 5)*(6*h - h - 2*h).
-120*h**5
Expand (j - j - j)*(3 + 0 - 2) + 11*j - 2*j + 20*j.
28*j
Expand (1 - 2*y - 1)*(-2 + 2 + 2) - y + 3*y + 0*y + 24*y - 18*y + 56*y.
60*y
Expand -5*g**4 + 3*g**4 - 2*g**4 + (0*g - g + 3*g)*(-g**3 - 3 + 3) + 3 - 3 - g**4 + (0*g + 0*g + g**4)*(-1 - 3 + 6) - 2*g**3 + 2*g**3 + g**4 + 4*g - g**4 - 4*g.
-5*g**4
Expand -r**2 + r**2 + r**2 + (-15 - 4 - 7)*(0*r**2 - 2*r**2 + 7*r**2).
-129*r**2
Expand h**3 + h**3 - 4*h**3 + (5*h - 4*h - 3*h)*(-11*h**2 - 21*h**2 - 12*h**2).
86*h**3
Expand (-13*i**4 - 21*i + 21*i)*(-108 + 283 - 93).
-1066*i**4
Expand w**2 - w**2 - 3*w**5 - w**5 + w**3 - w**3 - 2*w**5 + 8*w**5 + 3*w**5 + (2 - w - 2)*(0*w**4 + w**4 - 3*w**4) - 2 + w**5 + 2 - 12*w**3 + 12*w**3 - 5*w**5.
3*w**5
Expand (-w - 2*w**2 + w)*(-8*w - 29 - 15*w + 32).
46*w**3 - 6*w**2
Expand (3 + 3 + 0)*(-3 - 2 + 7)*(4*w + 12*w - 6*w + (1 - w - 1)*(-1 + 2 + 0)).
108*w
Expand ((1 + 1 + 0)*(2*k - 4*k + 3*k) + k - 3*k + k - 2*k - 3*k + 6*k)*(50*k**2 - 13*k**2 - 181*k**2).
-288*k**3
Expand (-9*x**2 + 4*x**2 - x**2)*(9*x + 6*x - 12*x - 1).
-18*x**3 + 6*x**2
Expand -4*m**4 - 2*m**4 + 5*m**4 + (-24*m**3 - 11*m**3 - 8*m**3)*(0*m + 3*m - m).
-87*m**4
Expand (-341 + 113 + 117 + 111 + 8155*c**2)*(c**3 + 3*c**3 - 2*c**3).
16310*c**5
Expand (363 - 810 + 399)*(3*g**5 - 5*g**5 + g**5).
48*g**5
Expand (-12*d**3 + 8*d**3 + 7*d**3)*(-42 + 32*d**2 + 42) + (0 - 1 - 1)*(d**5 + d - d).
94*d**5
Expand (510*o**2 + 876*o**2 - 127*o**2 - 712*o**2 + 847*o**2)*(o + 3*o - 6*o).
-2788*o**3
Expand -157*z**3 + 157*z**3 - 17*z**4 + (-1 + 2 + 1)*(-2*z**4 + 4*z**4 + z**4).
-11*z**4
Expand (-89*u + 3 + 169*u - 88*u)*(u**2 + 1 + 4 + 3*u - 8).
-8*u**3 - 21*u**2 + 33*u - 9
Expand (-14*d + 5*d - 31*d)*(3 - 4*d + 7*d + 0).
-120*d**2 - 120*d
Expand (4*h - 3*h - 3*h)*(1774 - 1774 + 254*h).
-508*h**2
Expand (0*d**2 + 0*d**2 + d**2)*(-2*d**2 + 0*d**2 + 3*d**2) + 2*d**4 + d**3 - d**3 - 1 + 1 - 2*d**4 - 5*d**4 + 5*d**4 - 5*d**4 + 0*d**4 - 3*d**4 + d**4 - d**2.
-6*d**4 - d**2
Expand 3*q**4 + 4*q**4 - 5*q**4 + (-2*q**3 + 0 + 0)*(-3*q + q + 4*q) + 11*q**4 - 20*q**4 - 80*q**4.
-91*q**4
Expand (f + 9*f + 0*f)*(1 - 8 - 10).
-170*f
Expand (-27 + 4*d + 27)*(-6*d + 11*d - 4*d**2 - 6*d + 2*d**4).
8*d**5 - 16*d**3 - 4*d**2
Expand (4 + 1 - 3)*(-7*a**2 - 9*a**2 - a**2)*(17 - 5 + 4)*(0*a + 3*a - 2*a).
-544*a**3
Expand (-13*x - 18*x + 11*x)*(-5 + 6 + x - 2*x**2 + x**2)*(-2 - 2 + 3).
-20*x**3 + 20*x**2 + 20*x
Expand -623*s**2 + 1269*s**2 + s - 634*s**2 + (s + 3*s - 5*s)*(s + 2*s - 4*s).
13*s**2 + s
Expand (-2*c + 0*c + 5*c)*(4 - 3 - 2 + 8*c).
24*c**2 - 3*c
Expand 8*b**2 + 61*b**2 + 81*b**2 + 2*b**2 - 2*b**2 + b**2 + 2 + b**2 - 2 - b**2 + b - b + (-2*b**2 + 0 + 0)*(1 - 1 - 1).
153*b**2
Expand (-d + 4*d - d)*(2 - 3 + 0) + 3 - 3*d - 3 + (-4 - 2 + 4)*(-4*d + 0*d + 2*d) - 2*d + 0 + 0 - 3*d + 6*d - 2*d - d - 3*d + 0*d - 7*d - 14*d + 18*d.
-9*d
Expand (-41*x - 47*x + 13*x + (-3 - 2 + 4)*(-2*x - 3*x + 4*x))*(-2 + 0*x + 2*x**2 + x + 0*x).
-148*x**3 - 74*x**2 + 148*x
Expand (m - m + m**2)*(37*m**2 + 42*m**2 - 47*m**2).
32*m**4
Expand 4*u**4 - 2*u**4 + 4*u**4 + 3*u**4 + 4*u**4 - 2*u**4 + (-2*u**2 - 3 + 3)*(u**2 - u**2 + 2*u**2) + 3*u**4 - 7*u**4 - 2*u**4.
u**4
Expand (-5 - 36 + 5)*(-u + 6*u - 3*u)*((0 - 1 + 0)*(2 + 3 - 4) + 3 - 4 - 1).
216*u
Expand (4*h - h + h)*(-196 + 72 - 76) + (3 - 3 - 2)*(-3*h + 0*h + h).
-796*h
Expand (2*a**2 + 6*a**2 + a**2)*(3*a + 2*a - 3*a)*(3 - 3 - 1).
-18*a**3
Expand (0*c**2 + 0*c**2 + c**2)*(8*c - 13*c + c) - 5*c**2 + 2*c**3 + 5*c**2 + (2*c - 2*c - 2*c)*(6*c**2 - 4*c**2 - 3*c**2) - c**3 - 2*c + 2*c.
-c**3
Expand (-3*x - 4*x + 4*x)*((0 - 4 - 3)*(1 - 2 + 0) - 2 + 3 - 6)*(-4 + 0 + 2).
12*x
Expand (-13 + 3*r**2 + 13)*(-32*r + 0*r**2 + 19*r - r**2) + (-5*r**4 + 4*r**4 + 0*r**4)*(-6 + 4 + 0).
-r**4 - 39*r**3
Expand 0*x**3 - 4*x**3 + 2*x**3 + (21*x**2 - 42*x**2 - 23*x**2)*(3*x + 0*x - 2*x).
-46*x**3
Expand (-3 - 9 - 7)*(0*l**3 + 0*l**3 - 2*l**3)*((4 - 4 - 1)*(-1 + 3 - 1) + 4 + 1 - 3).
38*l**3
Expand (-3*q - 3*q + 4*q + (7 - 3 - 3)*(0*q - 2*q + 4*q) + 2*q - 2*q + q + (-6*q - 14*q + 24*q)*(1 + 3 + 0))*(2*q**4 + 3*q**4 - 6*q**4).
-17*q**5
Expand (-2*n**2 - 1 + 1)*(-73*n**2 + 4*n**2 + 2*n**2 - 3 - 3*n) - n**4 + 2*n**4 - 3*n**4.
132*n**4 + 6*n**3 + 6*n**2
Expand ((3*y - 3*y - y)*(y - y + y**2) - 314*y + 314*y + 88*y**3)*(3*y + 3*y**2 + y - 2*y).
261*y**5 + 174*y**4
Expand (-3*v + 0*v + v)*((3 - 1 + 0)*(-2*v - v**2 + 2*v) - 43*v**2 + 421 - 421).
90*v**3
Expand (70*y - 4 + 20*y - 41*y)*(1 + 0 + 0).
49*y - 4
Expand 1 - i**5 - 1 + (-1101 + 656 + 888)*(-2*i**5 + 2*i**5 + 2*i**5).
885*i**5
Expand -8 + 8 - 6*b**2 + (-6 + 1 + 3)*(2*b**2 - 4*b**2 + 0*b**2) - 6*b**2 - 3*b**2 + 2*b**2.
-9*b**2
Expand (5 - 1 - 2)*(-2 - n + 2)*(12*n - 12*n + 49*n**3).
-98*n**4
Expand (6*o**3 - 15*o**3 + 10*o**3)*(0 - 3 + 1)*(4 - 3 - 3).
4*o**3
Expand (c - c - c)*(-1 + 4 - 2) - 9 - 6*c + 9 + (-2 + 4 - 3)*(-3*c + c + 0*c).
-5*c
Expand (-3 - 5*w + 3)*(6 + 17*w - 1 - 16*w).
-5*w**2 - 25*w
Expand (-2*t**2 - 2*t**2 + 5*t**2)*(3*t + t - 5*t) - 862*t**3 + 392*t**3 + 3 + 384*t**3 + 456*t**3.
369*t**3 + 3
Expand (2 - 4 + 3)*(-2*l**2 - 2*l**2 - 3*l**2).
-7*l**2
Expand (1756*n - 891*n - 886*n)*(2*n - 5*n + 0*n).
63*n**2
Expand (j**2 - 2*j**2 + 3*j**2 + (-2*j + 2*j - j)*(j + 0 + 0))*((-4 - 1 + 4)*(0 - 2 - 10) - 2 - 1 + 6).
15*j**2
Expand 2*k**5 + 26*k**2 - 26*k**2 - 8*k**3 + (-42 + 42 - 14*k)*(3*k**4 - 3*k**4 + 2*k**4).
-26*k**5 - 8*k**3
Expand (-3 - 2 + 3)*(29*f - 117*f - 154*f + (3 - 1 + 0)*(-f - 2*f + 5*f)).
476*f
Expand 4*b**2 + 6*b**2 - b**2 + (-7*b + 3*b**2 + 7*b)*(-1 + 2 + 0) + (-3 - 2*b**2 + 3)*(-1 + 2 - 3).
16*b**2
Expand (5*g**2 - 3*g**2 - 3*g**2)*(-7*g - 5*g - g) + (7*g**3 - 15*g**2 + 15*g**2)*(-5 - 2 + 2).
-22*g**3
Expand -y**5 - 2*y**3 + 2*y**3 + (2 - 6 + 2)*(-3*y**5 + 2*y**5 + 3*y**5) - 2*y**5 + y**2 - y**2 + 59*y**2 - 59*y**2 - 31*y**5 - 3*y**5 + 0*y**5 + 4*y**5.
-37*y**5
Expand (10*c + 11*c - 16*c + (-5 + 5 - 2)*(-6*c + 2*c + 2*c))*(5*c**3 - 1 + 1).
45*c**4
Expand -85*t - 542*t - 681*t - 320*t + 0 + t + 0 + (-2*t - 2 + 2)*(3 - 3 - 1).
-1625*t
Expand (66 + 13 + 34 + 6)*(2*h + 0 + 0).
238*h
Expand (-73 - 59*a + 73)*(-3*a**3 - 2*a**3 + 4*a**3)*(-a + 3*a - 3*a).
-59*a**5
Expand (-9*r**4 - r**4 + 60*r**4)*(-3*r + 5*r + 0*r) + r**5 + 0*r**3 + 0*r**3.
101*r**5
Expand (0 - 4*v**2 + 0)*(-27*v**3 - 39*v**3 - 31*v**3).
388*v**5
Expand (-194 - 137 - 112)*(0*s + 0*s + s).
-443*s
Expand (-1 + 0 + 2)*(-2 - 228*t**2 + 500*t**2 - 213*t**2).
59*t**2 - 2
Expand -5*d**4 + d**4 - d**4 + (-5 + 4 + 2)*(0 + 0 - d)*(4*d**3 - 3*d**3 + d**3).
-7*d**4
Expand (-5*t**4 + 4*t**4 + 0*t**4)*(35 - 30 + 16) + (t**3 + 4*t**3 - 4*t**3)*(-2*t + 4*t + 0*t) + 3*t**4 - t**4 - 3*t**4 + t**4 - 1 + 1.
-19*t**4
Expand 11*f**4 - 2*f**3 - 14*f**4 + f**4 + 3*f - 1 + (-f + f - 2*f**4)*(-1 - 3 + 8) - f**3 + f**3 + f**4.
-9*f**4 - 2*f**3 + 3*f - 1
Expand (47 - 20 - 23)*(q**2 - 2 + 2).
4*q**2
Expand (7 + 3 + 2)*(229*o - 485*o + 212*o).
-528*o
Expand (0*d + 0*d + d)*(0*d + 3 + d - 4) - 3*d**2 - 3*d**2 - 7*d**2.
-12*d**2 - d
Expand (-36393*r**2 - 2*r + 36406*r**2 + 9*r)*(r + 2*r - 2*r).
13*r**3 + 7*r**2
Expand (73 + 75 - 160)*(l**4 + 6*l**2 - 6*l**2).
-12*l**4
Expand (-2*j**3 - j**3 + 2*j**3)*(164*j**2 + 5*j - 5*j).
-164*j**5
Expand (4 - 3 - 2)*(5 + 5 - 4)*(-95 + 95 + 28*r).
-168*r
Expand 3*i + 3*i - 2*i + (5*i -
|
{
"pile_set_name": "DM Mathematics"
}
|
, 116, 2, -1 in ascending order.
-529, -1, 2, 7, 116
Put -4, -2, -3, -146, -9, 19, 3 in descending order.
19, 3, -2, -3, -4, -9, -146
Sort -1, 4749260, 0 in decreasing order.
4749260, 0, -1
Put 431, -2, -1751 in descending order.
431, -2, -1751
Put 5, 6, 0, -4, -1, 441, 211 in descending order.
441, 211, 6, 5, 0, -1, -4
Put 5, -1, 4, -15, -8, -22, 0 in descending order.
5, 4, 0, -1, -8, -15, -22
Put 5/6, -3, -3/2, 19/430, 0.5 in descending order.
5/6, 0.5, 19/430, -3/2, -3
Sort 2/11, -3, 69.052, 3, 1.
-3, 2/11, 1, 3, 69.052
Sort -12, -71, -3, -5032.
-5032, -71, -12, -3
Put 621, 16, 17, 2, -151, 3 in ascending order.
-151, 2, 3, 16, 17, 621
Put 0, -7/6, 2642, 299 in decreasing order.
2642, 299, 0, -7/6
Sort 62, -1, 2, -16026, 3 in decreasing order.
62, 3, 2, -1, -16026
Sort -61, -0.16734, 0, -2/9, 4.
-61, -2/9, -0.16734, 0, 4
Put 716, -5, 1634, -81 in decreasing order.
1634, 716, -5, -81
Sort 6981, -12, 1/2, -29, 4/7, -3 in descending order.
6981, 4/7, 1/2, -3, -12, -29
Sort -3, 2, -16, -45, -12, 1, 40 in ascending order.
-45, -16, -12, -3, 1, 2, 40
Put 2/11, -24309, -718 in decreasing order.
2/11, -718, -24309
Put -4, 291, -6, -49, -5 in decreasing order.
291, -4, -5, -6, -49
Sort -1/3, -2256, 2, 1.7, 0, 0.4, 5.
-2256, -1/3, 0, 0.4, 1.7, 2, 5
Sort -6371, -2, 6, -2235 in ascending order.
-6371, -2235, -2, 6
Sort -2/7, 0.19, -1/305565 in decreasing order.
0.19, -1/305565, -2/7
Put -7, 8, 5, -62, 32 in descending order.
32, 8, 5, -7, -62
Sort -1/2, 0.3, 5, -18, -619.
-619, -18, -1/2, 0.3, 5
Sort -4, 386, 0, 42, 36, 1 in decreasing order.
386, 42, 36, 1, 0, -4
Sort 5, -436, -35879, -2 in decreasing order.
5, -2, -436, -35879
Put -166, 35, -2, 6, 4 in increasing order.
-166, -2, 4, 6, 35
Sort 5, 5856, -3, -4.
-4, -3, 5, 5856
Sort 3, 277, -4041.
-4041, 3, 277
Sort 3, -38, -1974, -1/79 in decreasing order.
3, -1/79, -38, -1974
Sort 12, -540, 507, -2.
-540, -2, 12, 507
Sort -8779, -5, 5, 2, -3, 0.3.
-8779, -5, -3, 0.3, 2, 5
Sort 5/63, -13, 4/3, -0.007165 in descending order.
4/3, 5/63, -0.007165, -13
Put -1251, 0, -1, -4, -6, -24 in ascending order.
-1251, -24, -6, -4, -1, 0
Sort 4, 5, 216, 1, -1283 in descending order.
216, 5, 4, 1, -1283
Sort 468, -7, 698, 1, 4.
-7, 1, 4, 468, 698
Sort -2/9, 27195, 77.
-2/9, 77, 27195
Put 0.274, -2, 146, 53, 1/7 in increasing order.
-2, 1/7, 0.274, 53, 146
Sort 0.2, -0.5, -9950, -1, 3, 23/38 in increasing order.
-9950, -1, -0.5, 0.2, 23/38, 3
Sort -2, 2/3, -97.8, -0.2, 10, -3/5 in descending order.
10, 2/3, -0.2, -3/5, -2, -97.8
Put -553, 226.55, -3, 2/11 in descending order.
226.55, 2/11, -3, -553
Put -136, -403, -142, 5, -4, -2 in increasing order.
-403, -142, -136, -4, -2, 5
Sort 5, -12, 312, -4, -2236 in decreasing order.
312, 5, -4, -12, -2236
Sort -159, -10, 92.
-159, -10, 92
Sort -18, -153, -5, 412, -2, 4 in decreasing order.
412, 4, -2, -5, -18, -153
Sort 6, -7, 248, -4, 5, 3, 168 in increasing order.
-7, -4, 3, 5, 6, 168, 248
Put -17853, 39, -0.144 in ascending order.
-17853, -0.144, 39
Put 2, -161, -4, 1, 0, -180 in decreasing order.
2, 1, 0, -4, -161, -180
Put -2, -0.1, 3, -2/9, -2/47, 9, 0 in descending order.
9, 3, 0, -2/47, -0.1, -2/9, -2
Put -36, 243, -51663 in ascending order.
-51663, -36, 243
Put -1, -79483, 253, 2 in decreasing order.
253, 2, -1, -79483
Sort 5, -122, 16, -4/47, -1/4, -0.1 in descending order.
16, 5, -4/47, -0.1, -1/4, -122
Put -1/2, 557330, 2/9, 2/7 in descending order.
557330, 2/7, 2/9, -1/2
Sort -5, -2743, -47, 3, -2, -4, 5.
-2743, -47, -5, -4, -2, 3, 5
Put 5, -3, 24, 0, -276 in increasing order.
-276, -3, 0, 5, 24
Put 5, 1, 0, -5, 212, 11140 in ascending order.
-5, 0, 1, 5, 212, 11140
Sort -7, -56275, -3, -1.
-56275, -7, -3, -1
Sort 0, -11275, 5, 1, 4, -19, -1 in descending order.
5, 4, 1, 0, -1, -19, -11275
Put 79, -33, -2, -3172 in increasing order.
-3172, -33, -2, 79
Sort -5/4, 2, 468, -1.6, -2/19 in increasing order.
-1.6, -5/4, -2/19, 2, 468
Sort 2, 0.4, -2100, 0.3, 8, -3/4 in descending order.
8, 2, 0.4, 0.3, -3/4, -2100
Put -9379, -14, -357 in descending order.
-14, -357, -9379
Put 3/13, -2722, -103 in increasing order.
-2722, -103, 3/13
Put -2/7, 5, 3, 123/637 in descending order.
5, 3, 123/637, -2/7
Sort -170.174, 0, -4/5 in descending order.
0, -4/5, -170.174
Put -2, 0.04, -582, 2/11, 2, 23 in increasing order.
-582, -2, 0.04, 2/11, 2, 23
Sort 33, 3, 6, -4, -195, -2, 125 in descending order.
125, 33, 6, 3, -2, -4, -195
Sort 331, -35, 0, -4, 8, -2, 3.
-35, -4, -2, 0, 3, 8, 331
Sort 1820288, 1, 2/9 in descending order.
1820288, 1, 2/9
Sort 0.1, -0.01, -7, 3/2, -0.9 in descending order.
3/2, 0.1, -0.01, -0.9, -7
Put -143900, 36, -0.3, 0.1 in decreasing order.
36, 0.1, -0.3, -143900
Put 0.07, 5, 0.5, 0, -395, -15, 3 in decreasing order.
5, 3, 0.5, 0.07, 0, -15, -395
Sort -2.3089, -14, -6, -4 in increasing order.
-14, -6, -4, -2.3089
Sort -21, -3664/33, -2/17 in descending order.
-2/17, -21, -3664/33
Put -5062.9, -2/7, -3.67 in descending order.
-2/7, -3.67, -5062.9
Sort 2, -2/15, 1, -4352984 in increasing order.
-4352984, -2/15, 1, 2
Sort -4, 2078, -5, 133, -17.
-17, -5, -4, 133, 2078
Put -1/12, -76, 0.183877 in ascending order.
-76, -1/12, 0.183877
Sort -1, 4, 114971, 2, 5, 0.
-1, 0, 2, 4, 5, 114971
Sort 5525, 17, -5937.
-5937, 17, 5525
Put -6/11, -4, 24, 42 in ascending order.
-4, -6/11, 24, 42
Sort 4, -16658, 0.2, 5, -7/16 in descending order.
5, 4, 0.2, -7/16, -16658
Put -421, -91, 3, 2/7, -2/11, 0.2 in ascending order.
-421, -91, -2/11, 0.2, 2/7, 3
Sort -4, 4, -3, -23, 411 in descending order.
411, 4, -3, -4, -23
Put -1, -5762, -0.06, 1/80 in increasing order.
-5762, -1, -0.06, 1/80
Put 2/9, -318748529, 1/3 in descending order.
1/3, 2/9, -318748529
Sort -1, -1460, -120, -5 in decreasing order.
-1, -5, -120, -1460
Sort -8/9, -7589, -0.02 in ascending order.
-7589, -8/9, -0.02
Put -29, 4, 36, -2, 0 in ascending order.
-29, -2, 0, 4, 36
Put -1/93, -4, -0.3, 56, -7 in descending order.
56, -1/93, -0.3, -4, -7
Sort -1, 0.1, 2430283.
-1, 0.1, 2430283
Put -5, -2, -49, 30/7, 85/11 in descending order.
85/11, 30/7, -2, -5, -49
Sort -8213, -0.2, 0.03, 1, 4, -0.38 in descending order.
4, 1, 0.03, -0.2, -0.38, -8213
Sort -4, 2, -196132 in decreasing order.
2, -4, -196132
Sort -879, 0.145464, -0.1.
-879, -0.1, 0.145464
Put -0.012, -0.1, 37/455 in descending order.
37/455, -0.012, -0.1
Put -3514238, 1, 4 in ascending order.
-3514238, 1, 4
Sort 1, 2, 3, -9129, -5, 18 in increasing order.
-9129, -5, 1, 2, 3, 18
Put 1, -25.1, -1/6, -0.4, -74/3 in increasing order.
-25.1, -74/3, -0.4, -1/6, 1
Sort -289, 2, 34, 1, -69, 6 in decreasing order.
34, 6, 2, 1, -69, -289
Put 7472422, 2, 0 in increasing order.
0, 2, 7472422
Put -2, -50353, -0.3, 1/3 in ascending order.
-50353, -2, -0.3, 1/3
Sort -185, -26408, 5 in increasing order.
-26408, -185, 5
Sort -105, -0.2, -999, -0.1 in decreasing order.
-0.1, -0.2, -105, -999
Put 1/5, -3, -0.0892, -58.4 in descending order.
1/5, -0.0892, -3, -58.4
Put 7, -311.1, -12.26 in descending order.
7, -12.26, -311.1
Put 5, 37, 4, -3, 2, -16 in increasing order.
-16, -3, 2, 4, 5, 37
Put -43, -3, -4, -2, 32, -1, 9 in ascending order.
-43, -4, -3, -2, -1, 9, 32
Sort 0, -14, -4, -306, -63 in ascending order.
-306, -63, -14, -4, 0
Put -14, -24, -5, 617 in descending order.
617, -5, -14, -24
Put -473224, -23, -5 in decreasing order.
-5, -23, -473224
Sort -4/3, -82, 65, 15 in increasing order.
-82, -4/3, 15, 65
Sort 0.38, -0.7, 0.5, -47, 16/45.
-47, -0.7, 16/45, 0.38, 0.5
Sort 0, -15/2, -3/5, 364, 1.2, 2/9 in increasing order.
-15/2, -3/5, 0, 2/9, 1.2, 364
Put -505, 281, -13 in ascending order.
-505, -13, 281
Put 1, -1/7, -443345.4, -0.5, 0 in descending order.
1, 0, -1/7, -0.5, -443345.4
Sort 1342, 83.4, 14 in descending order.
1342, 83.4, 14
Sort 0.07, -4, -7.1, 5/14584 in decreasing order.
0.07, 5/14584, -4, -7.1
Sort -5, 6, -12, 78, 7, -16 in descending order.
78, 7, 6, -5, -12, -16
Put -13506/47, 0.2, -7, -5/3 in ascending order.
-13506/47, -7, -5/3, 0.2
Put -0.5, 7, 2/9, 3, 2.8, 68 in ascending order.
-0.5, 2/9, 2.8, 3, 7, 68
Sort -2, -54, 5, -585, -114, 4.
-585, -114, -54, -2, 4, 5
Sort 2, -7692, 520 in decreasing order.
520, 2, -7692
Sort 24, -21/25, 7/5, -0.2, -1 in increasing order.
-1, -21/25, -0.2, 7/5, 24
Sort 97, 0.086784, 4, 2/15 in increasing orde
|
{
"pile_set_name": "DM Mathematics"
}
|
648*q + 18
Let v(g) = g. Let z(r) = 39*r**2 - 175*r - 330. Give v(z(c)).
39*c**2 - 175*c - 330
Let j(x) = 8*x**2 - x - 3. Let q(t) = 8*t - 62. Calculate q(j(u)).
64*u**2 - 8*u - 86
Let i(p) = 131*p**2. Let a(g) be the third derivative of -5*g**4/24 + g**2 - 1. Calculate i(a(r)).
3275*r**2
Let o(c) = 6*c**2 - 48. Let g(h) = -28*h - 195. Let a(m) = -2*m - 15. Let i(q) = 52*a(q) - 4*g(q). Determine i(o(y)).
48*y**2 - 384
Let l(q) = q. Let m(p) = 30523*p**2 - 699*p - 699. Let y(u) = -218*u**2 + 5*u + 5. Let h(o) = -5*m(o) - 699*y(o). What is l(h(s))?
-233*s**2
Let j(p) = -p**2. Let u be (15/(-10))/(((-15)/20)/1). Let h(a) = -15*a**2 + 6*a**u - 20*a**2 - 11*a**2 - 12*a**2. What is j(h(o))?
-2704*o**4
Let a be 7/14*59/885. Let l(v) be the third derivative of -5/3*v**3 + 38*v**2 + 0*v**4 + 0 - a*v**5 + 0*v. Let g(w) = w**2. Give l(g(z)).
-2*z**4 - 10
Let w(d) = -9*d**2. Let y(r) be the first derivative of 0*r**3 - 1/8*r**4 + 5 - 13/2*r**2 + 0*r. Let v(a) be the second derivative of y(a). What is w(v(b))?
-81*b**2
Let o(r) = -10*r**2. Let b(i) be the third derivative of 11*i**6/180 + 94*i**3/3 + 46*i**2 + 2*i. Let f(x) be the first derivative of b(x). What is o(f(n))?
-4840*n**4
Let t(q) = 4*q**2. Let n(c) be the third derivative of c**5/30 - 25*c**4/8 + 7*c**2 + 48*c. Determine n(t(g)).
32*g**4 - 300*g**2
Let n(j) = j**2. Let d(v) = -62*v**2 - 868*v - 3038. Let f(b) = -b**2 + 2*b + 7. Let h(p) = 2*d(p) + 868*f(p). Determine n(h(s)).
984064*s**4
Let r(a) = 941*a**2. Let k(g) = 13*g**2 - 20622*g. What is k(r(l))?
11511253*l**4 - 19405302*l**2
Suppose 249 = -7*f - 276. Let q be f*((-16)/10 + 1). Let d(z) = q*z - 14*z - 20*z. Let k(h) = 3*h. Give d(k(r)).
33*r
Let g(v) be the second derivative of -v**6/180 + 9*v**4/4 - 48*v. Let o(s) be the third derivative of g(s). Let x(n) = -13*n. Give x(o(w)).
52*w
Let w(q) = -5*q - 15. Let d(g) = -10*g - 30. Let f(b) = -6*d(b) + 13*w(b). Let n be f(-9). Let y(a) = -43*a + n*a + 26*a. Let t(v) = -v**2. Calculate t(y(j)).
-169*j**2
Let g(f) = 4971*f - 52. Let j(h) = -157*h**2. What is g(j(c))?
-780447*c**2 - 52
Let i(r) be the second derivative of -75*r**3/2 + r**2 + r + 910. Let z(k) = -11*k**2. Give z(i(v)).
-556875*v**2 + 9900*v - 44
Let s(p) = 2*p**2 - 35. Let r(f) = 31450*f**2. Determine s(r(j)).
1978205000*j**4 - 35
Let v(c) = 187*c**2. Let q(z) be the second derivative of -10*z**3/3 - z**2 + 14450*z. Determine q(v(a)).
-3740*a**2 - 2
Let s(i) = -48*i. Let w(l) = 22*l**2 - 30*l. Let t(n) = -21*n**2 + 35*n. Let x(v) = -6*t(v) - 7*w(v). What is x(s(c))?
-64512*c**2
Let r(f) = -2*f**2 + 274*f. Let w(u) = 1081*u. Determine w(r(k)).
-2162*k**2 + 296194*k
Let l(x) be the third derivative of 7*x**5/30 + 737*x**2. Let d be 1/((-2)/(-2 - 26)). Let v(i) = -2*i**2 + 14*i - i**2 - d*i. Determine l(v(u)).
126*u**4
Let g(d) = 33*d. Let p(k) = 5*k**2 - 80*k**2 - 3*k + 2*k - k + 4*k. Determine g(p(n)).
-2475*n**2 + 66*n
Let y(k) = -39*k. Let q(z) = 7381*z + 5. Give y(q(b)).
-287859*b - 195
Let c(n) = 19*n. Suppose -71*j + 67*j + 52 = 0. Suppose -j*r + 5*r + 24 = 0. Let h(o) = 0*o - 7*o + o + r*o. Determine h(c(g)).
-57*g
Let k(x) be the first derivative of 7*x**3/3 - 22. Let t(r) = -r**2 - 36*r. Let f(l) = l**2 + 66*l. Let c(v) = 6*f(v) + 11*t(v). Calculate k(c(i)).
175*i**4
Let q = 2873 + -2838. Let k(w) = -w**3 + 8*w**2 - 8*w + 9. Let l be k(6). Let t(n) = 67*n**2 - l*n**2 - q*n**2. Let f(z) = 6*z**2. Calculate t(f(g)).
-36*g**4
Let q(h) be the second derivative of -h**6/12 + h**3/2 + 6*h**2 - 86*h. Let v(y) be the second derivative of q(y). Let c(k) = 3*k. What is v(c(n))?
-270*n**2
Let v(w) = -4. Let q(b) = 2*b**2 + 88. Let g(j) = q(j) + 14*v(j). Let s(p) = -7*p**2. Determine s(g(u)).
-28*u**4 - 896*u**2 - 7168
Suppose m - 28 = -9. Suppose 0*j - 5*q = 4*j - 23, -3*q = 5*j - m. Let d(u) = 3*u**2 + 4*u + 0*u**2 + 21*u - j*u**2. Let v(s) = s. Give v(d(g)).
g**2 + 25*g
Let c(k) = 94*k. Let i(m) = 108*m**2 - 626*m - 2. What is c(i(t))?
10152*t**2 - 58844*t - 188
Let j(w) = -w. Suppose p = 2*c + 13, 32 - 115 = -5*p + 4*c. Let z(n) = 19 - 8*n - p. Calculate j(z(v)).
8*v
Let x(y) = -1490*y + 750*y + 740*y + 1700*y**2. Let o(q) = -2*q**2. What is o(x(l))?
-5780000*l**4
Let w(q) = -6*q**2. Let j(y) = -16483543*y**2. Calculate w(j(c)).
-1630243138997094*c**4
Let b(m) = -116*m. Let l(z) = 2847*z**2 - 4*z. What is l(b(y))?
38309232*y**2 + 464*y
Let l(x) = -922*x. Let k(m) = 2*m**2 - 2*m. Let u(a) = 7*a**2 - 8*a. Let v(b) = -4*k(b) + u(b). What is v(l(g))?
-850084*g**2
Let f(s) = 71257012*s. Let k(v) = -3*v**2. Give k(f(c)).
-15232685277504432*c**2
Let g(c) = -868*c**2. Let x(z) = 329836*z. What is x(g(j))?
-286297648*j**2
Let a = -91 - -93. Let v(w) = -24*w - 7*w**a - 28*w + 52*w. Let h(r) = 10*r. Determine v(h(t)).
-700*t**2
Let w(a) = -7*a - 12. Let x(u) = u + 2. Suppose 5*g - 3*g = 3*d - 7, -4*g - 25 = 5*d. Let v(p) = d*w(p) - 6*x(p). Let l(f) = 114*f**2 + 1. Give l(v(m)).
114*m**2 + 1
Let j(b) = -5*b**2. Let i(k) be the third derivative of -461*k**5/20 - 140*k**2. Determine j(i(s)).
-9563445*s**4
Let m(b) = -57379471*b. Let f(w) = -7*w**2. What is m(f(h))?
401656297*h**2
Let l(o) = -o. Suppose 12 = 3*w + w. Let f(j) = j**2 - 7. Let m be f(w). Let n(z) = -11*z**m - 7*z**2 + 4*z**2 - 2*z**2. Give n(l(s)).
-16*s**2
Let m(n) = 303409 + 66*n**2 - 303409. Let a(f) be the second derivative of f**4/6 - 8*f. What is m(a(z))?
264*z**4
Let z(l) = -68*l. Let g(u) be the third derivative of 0 + 0*u - 29*u**2 + 0*u**3 - 1/20*u**5 + 0*u**4. Determine g(z(c)).
-13872*c**2
Let f(w) = 2*w + 3. Let s(o) = -11*o + 41. Let p be s(4). Let r(u) = 2*u + 2. Let a(x) = p*r(x) + 2*f(x). Let z(i) = -167*i. Give a(z(b)).
334*b
Let f(u) = -17551*u**2 - 418. Let v(g) = -14*g**2. Give f(v(c)).
-3439996*c**4 - 418
Let k(h) = 3*h**2. Let p(z) = 64*z + 118. Let l(f) = -37*f - 60. Let s(t) = 7*l(t) + 4*p(t). Calculate s(k(y)).
-9*y**2 + 52
Let b(a) = 5210251*a. Let h(p) = -4*p**2. What is b(h(s))?
-20841004*s**2
Let i(d) = -15*d + 6. Let b(h) = -9*h + 5. Let g(u) = 6*u - 3. Let y(p) = 2*b(p) + 5*g(p). Let s(f) = 5*i(f) + 6*y(f). Let n(a) = 39*a + 2. Determine n(s(q)).
-117*q + 2
Suppose -42*m + 56*m = 28. Let x(k) = 1611*k + 65*k**2 + 162*k**m - 1611*k. Let h(c) = -c**2. What is x(h(u))?
227*u**4
Let h(i) = 1137*i**2 + 1142*i**2 - 2268*i**2. Let g(p) be the third derivative of -p**5/60 - 33*p**2. Determine h(g(d)).
11*d**4
Let o(v) = -992*v. Let w(t) = -11*t**2 + 42*t + 7. Let a(u) = -3*u**2 + 12*u + 2. Let p(f) = 7*a(f) - 2*w(f). Determine p(o(j)).
984064*j**2
Let r(i) be the first derivative of -i**2 + 17*i + 955. Let u(k) = -13*k**2. Give r(u(f)).
26*f**2 + 17
Let b(g) = -7559*g + 15157*g + 11*g**2 - 7598*g. Let v(w) = 92*w**2 - 4. What is v(b(u))?
11132*u**4 - 4
Let u(k) = -17*k. Let w(c) be the second derivative of 0*c**2 - 7/6*c**4 + 9 + 11*c + 0*c**3. Determine w(u(h)).
-4046*h**2
Let o(z) = -2*z - z + 4*z - 3*z. Let d(f) = -25*f**2 + 64*f**2 + f**2 + 21*f**2 + 8*f**2. Calculate o(d(w)).
-138*w**2
Let s(a) = -3*a + 18. Let k be s(6). Let r(u) = -5*u + k*u + 0*u + 4*u - 3*u. Let o(d) = 2*d**2. Determine r(o(x)).
-8*x**2
Let f(u) = -u**2 + 14*u + 41. Let x be f(17). Let o(s) = s + 1. Let q(w) = w + 5. Let l(v) = x*o(v) + 2*q(v). Let m(k) = k**2. What is m(l(p))?
64*p**2
Let m(w) = -954556534*w. Let x(k) = -k. Determine x(m(o)).
954556534*o
Let m(y) = 4*y. Let w(x) = 1025*x**2 + 100*x. Let d(l) be the first derivative of -31*l**3/3 - 3*l**2/2 + 75. Let i(p) = 100*d(p) + 3*w(p). Calculate m(i(s)).
-100*s**2
Let a(p) = -2*p**2 - 39*p - 24. Let y be a(-19). Let u(j) = -11*j + 16. Let w(d) = 7*d - 10. Let c(h) = y*u(h) - 8*w(h). Let b(o) = -12*o**2. Determine b(c(f)).
-12*f**2
Let f = 23 + -21. Let z(j) be the third derivative of -34*j**4 + f*j + 33*j**4 - 23*j**2 - 2*j. Let r(v) = 2*v**2. Calculate r(z(p)).
1152*p**2
Let c(x) = -4*x + 2 - 27 + 13 + 12. Let l(z) be the second derivative of 2*z**4 - 19*z. Determine c(l(i)).
-96*i**2
Let l(c) = 24*c. Let a(o) = -24*o. Let x(j) = 4*a(j) + 5*l(j). Let u(r) be the second derivative of -r**4/12 - 1493*r + 1. Calculate u(x(v)).
-576*v**2
Let m(v) = -73*v - 73*v - 76*v + 214*v. Let l(a) = -257*a. Determine m(l(z)).
2056*z
Let y = -3 + 5. Let a(r) = -2*r + 2*r - r**y. Let b(m) = 48*m**2 + 66*m + 11. Let v(o) = -16*o**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.3, 1/4?
1/4
Which is the third smallest value? (a) -2/13 (b) -17 (c) -3/4 (d) -11
c
What is the third biggest value in -2, -3/4, -149?
-149
What is the biggest value in 0.5, -0.01, 0.4?
0.5
Which is the second smallest value? (a) 2/13 (b) 4 (c) -2/2673 (d) -0.3
c
What is the second biggest value in 11, -0.5, -68?
-0.5
Which is the third smallest value? (a) 142 (b) 2/3 (c) -5 (d) -0.7
b
What is the second smallest value in -4, 1/3, 0.1, -1/6, -283?
-4
What is the smallest value in 2/15, 0, -1, -0.75?
-1
What is the biggest value in 1/6, 5, -5.4?
5
Which is the biggest value? (a) 0.2 (b) 2.8 (c) 0.9
b
Which is the fourth smallest value? (a) -1/8 (b) -0.1 (c) 6/11 (d) -18/7
c
Which is the smallest value? (a) -2/13 (b) 0.69 (c) 2/11
a
What is the second biggest value in 1, 1/4, -2/5?
1/4
Which is the second smallest value? (a) -7 (b) 3/5 (c) 1/2 (d) -2/3 (e) -1/2
d
Which is the smallest value? (a) -12.6 (b) -4 (c) 0.3
a
Which is the third biggest value? (a) 35/6 (b) 2 (c) 0.5 (d) -4
c
What is the third biggest value in -5, 3, -82?
-82
What is the third smallest value in 1, -1, 24, 0.3?
1
Which is the biggest value? (a) -2/11 (b) 0.3 (c) 2/15
b
Which is the third smallest value? (a) -49/6 (b) -3/5 (c) -1/6
c
Which is the second biggest value? (a) -0.1 (b) -5 (c) -0.3 (d) -0.09 (e) 1/4
d
What is the biggest value in -0.3, 12, 1/5, 2?
12
Which is the biggest value? (a) 1.7 (b) -1/4 (c) 6 (d) 3/5
c
Which is the smallest value? (a) -1/5 (b) -1 (c) 2/43
b
What is the biggest value in -1, 2, 1?
2
Which is the third biggest value? (a) -2/3 (b) -0.06 (c) 4
a
Which is the third biggest value? (a) 45 (b) 5 (c) -0.11
c
Which is the smallest value? (a) -8/5 (b) 3 (c) 20 (d) 2
a
What is the third biggest value in -3/8, -0.1, -6.24?
-6.24
Which is the second biggest value? (a) 0.38 (b) -5 (c) 0.3
c
What is the smallest value in 8/13, 6, 3, 0?
0
What is the second smallest value in 0.4, 3/8, 1, 1/130?
3/8
What is the fourth biggest value in 0.1, -5, -102, -24?
-102
What is the biggest value in 2, 8, 14?
14
Which is the biggest value? (a) -4 (b) -0.06 (c) -627 (d) 0.3
d
Which is the second smallest value? (a) -0.117 (b) 2/11 (c) -0.2 (d) -0.5
c
What is the third smallest value in -26, -0.4, 2, -5, -0.6?
-0.6
What is the smallest value in -1/5, 2/11, 40/9?
-1/5
What is the second biggest value in -0.2, -5, 0.049?
-0.2
What is the second biggest value in 2, -23, 0.4, -5/7, -2?
0.4
What is the biggest value in -644, 0.5, 5?
5
Which is the fourth smallest value? (a) 4 (b) 2 (c) 0 (d) 2/11
a
What is the smallest value in 448, 5, -3?
-3
What is the smallest value in -2, 3, -0.11?
-2
Which is the biggest value? (a) -5/2 (b) -0.06 (c) 5
c
Which is the fourth smallest value? (a) -3 (b) 4/3 (c) 245 (d) 1/3
c
What is the second biggest value in -38, -2/25, 2?
-2/25
Which is the smallest value? (a) 2 (b) -0.2 (c) -0.4 (d) -27/2 (e) 10/9
d
Which is the second biggest value? (a) -0.4 (b) 0 (c) 0.001 (d) -2
b
Which is the fourth biggest value? (a) -1.3 (b) 2 (c) 8 (d) -0.5 (e) -0.1
d
Which is the second smallest value? (a) 4 (b) 0.1 (c) -6 (d) -2/3
d
What is the second smallest value in -1.2, 4, -8/23?
-8/23
Which is the smallest value? (a) -5 (b) 2/5 (c) 0.1 (d) -4 (e) -0.1
a
What is the smallest value in 0, -0.18, 5, -2/13?
-0.18
What is the second biggest value in -1/2, -5, 99/65?
-1/2
What is the third smallest value in -463, 3/4, 2/21, -1/3?
2/21
What is the second biggest value in -32.2, 0, -1?
-1
What is the biggest value in 2, -22, 2/5?
2
What is the second biggest value in -3, 2.3, -1?
-1
Which is the second biggest value? (a) 5 (b) -0.75 (c) -2.8
b
Which is the fourth biggest value? (a) 9 (b) -5 (c) -1/3 (d) 0 (e) 2
c
Which is the third smallest value? (a) 224 (b) 0.5 (c) -1/4
a
Which is the third smallest value? (a) 11 (b) 0 (c) -0.013
a
Which is the second smallest value? (a) -2 (b) -28 (c) 4 (d) -1/2
a
What is the smallest value in -8, 5, 4?
-8
Which is the third biggest value? (a) 0 (b) -0.2 (c) 23 (d) -1/8 (e) -0.3
d
What is the third biggest value in 1/2, 0.43, -9?
-9
What is the third biggest value in -94, 5, 2/7, -5?
-5
Which is the third smallest value? (a) -0.04 (b) -4/7 (c) 13 (d) -2/5 (e) 2
a
What is the third smallest value in 1, 0, 1.8, 17?
1.8
Which is the third smallest value? (a) -15 (b) 2/11 (c) -1/5 (d) -5.4
c
What is the third smallest value in 0.6, -3, -4?
0.6
What is the third smallest value in 1, 2.8, 1.7?
2.8
Which is the second biggest value? (a) -2 (b) -3/4 (c) -0.176 (d) 0.4 (e) 2
d
What is the second smallest value in 0.29, -2, -4/3, 2/61, 2/13?
-4/3
What is the second biggest value in -2, -5, -55/3, 5/4?
-2
What is the second smallest value in 11, 2, 8?
8
What is the fourth biggest value in -0.8, -1/4, 0.3, -4?
-4
What is the biggest value in 4/3, 2/3, -0.1, 4, 0.4?
4
What is the third smallest value in 5/129, 4, -1?
4
What is the third smallest value in -664, -1/7, -5, 0.3?
-1/7
Which is the smallest value? (a) 0.5 (b) -0.243 (c) -5 (d) -0.2
c
What is the second smallest value in -0.3, -12, 2226?
-0.3
What is the biggest value in 14, -3/7, 0.04?
14
What is the biggest value in -13/3, 9, -5?
9
What is the third biggest value in 2/7, 10, 514?
2/7
Which is the second smallest value? (a) -5 (b) -90 (c) 0.3 (d) -1
a
What is the second biggest value in -0.5, 2/13, -5/4?
-0.5
Which is the second smallest value? (a) 1 (b) -1 (c) 1/27
c
What is the biggest value in 0, 1/8, -129?
1/8
Which is the third biggest value? (a) -4/3 (b) 5 (c) 4/3 (d) 0
d
What is the third smallest value in 0, 65.1, -0.4?
65.1
What is the smallest value in -2, 36, 4/3, 0.4?
-2
Which is the third smallest value? (a) 183 (b) -4 (c) 2/5 (d) -1 (e) -25
d
Which is the biggest value? (a) -3 (b) -32 (c) -1
c
What is the fifth smallest value in 24, 4, -1/4, -2, 2?
24
What is the third smallest value in 2, 2.6, -3?
2.6
Which is the second biggest value? (a) 3/4 (b) 1/6 (c) 0.5 (d) 0.033
c
Which is the second biggest value? (a) 1 (b) 0.4 (c) -18
b
What is the third biggest value in -3, -22, 4?
-22
What is the fourth biggest value in -5, 38, 1, 0.3?
-5
Which is the third smallest value? (a) 2 (b) 47 (c) 2/9
b
Which is the smallest value? (a) 0.5 (b) -0.1 (c) 8/5
b
What is the third biggest value in 19/21, 3/5, -5?
-5
What is the fifth biggest value in -1.1, 3, -5, -1/3, -7?
-7
Which is the second biggest value? (a) -2/1097 (b) 1 (c) -5
a
What is the second smallest value in 2/55, -0.031, 2/3, -0.2?
-0.031
Which is the third biggest value? (a) -3/8 (b) -0.5 (c) 4
b
Which is the second biggest value? (a) -5 (b) 3 (c) -1/3
c
Which is the biggest value? (a) -2 (b) 2/9 (c) 17 (d) -4/5
c
What is the third biggest value in -2, -11, -1/3?
-11
What is the second biggest value in 2/11, 3, -2, -4?
2/11
What is the fifth smallest value in -4, -1/4, -0.3, -2, 0?
0
Which is the fourth smallest value? (a) -95 (b) 2 (c) -0.5 (d) -4
b
What is the second smallest value in 7/4, -28, -1/4?
-1/4
Which is the third biggest value? (a) 1/26 (b) 68/5 (c) -1/5
c
Which is the second biggest value? (a) -90 (b) -2/3 (c) 0.2 (d) -0.1
d
Which is the biggest value? (a) -4 (b) 0.26 (c) 2/5
c
What is the second smallest value in -0.0443, 0.5, 4?
0.5
Which is the third smallest value? (a) 2/9 (b) 2/3 (c) -0.5
b
What is the third smallest value in 1/19, -4, 10?
10
Which is the second smallest value? (a) 2/17 (b) -3 (c) 5 (d) -0.03 (e) -6
b
Which is the fourth biggest value? (a) -0.2 (b) -0.3 (c) 5 (d) -134
d
Which is the third biggest value? (a) 11/6 (b) 1 (c) -47
c
Which is the third smallest value? (a) -4/15 (b) -3 (c) -2/9 (d) -2
a
Which is the fourth smallest value? (a) 0 (b) 5/3 (c) 4 (d) -0.3
c
What is the fourth smallest value in -1/5, -5, -1, -2/11?
-2/11
What is the third biggest value in -13, -2, 1.2?
-13
Which is the third smallest value? (a) 5 (b) 0.2 (c) -0.01 (d) 0.94 (e) 0.4
e
What is the fourth biggest value in 3/7, 2, -3, 3/8?
-3
What is the third smallest value in -3, 6, 3?
6
What is the third smallest value in -2/7, 0.3, 5, -453?
0.3
Which is the third smallest v
|
{
"pile_set_name": "DM Mathematics"
}
|
u + 42, -4163*u = 2*y - 4164*u + 14 for y.
-7
Solve 3*b - 4*t = -19, -905*t = -900*t - 20 for b.
-1
Solve -5*y = -5*p + 60, 0 = -2*p - 4*y - 0*y + 24 for p.
12
Solve -42 = -3*m - 3*s, -59*m + 6*s - 64 = -63*m for m.
10
Solve v - u + 7 = 0, 5*v - 7*v = 4*u - 10 for v.
-3
Solve 5*b - s = -13, 4*b + s - 36 = -50 for b.
-3
Solve -s - 13 = u - 3*u, 0 = -3*u - 3*s + 6 for u.
5
Solve -2376 + 2354 = 5*f + 3*y, -3*f + 5*y = -14 for f.
-2
Solve -c - 14431*d + 14435*d + 32 = 0, 0 = -3*c - d + 5 for c.
4
Solve -3*q = 3*d + 5 + 31, -2*d + 8 = -2*q for q.
-8
Solve -3*h - 9 = 5*b, 625*h = -b + 629*h + 12 for b.
0
Solve -3*b + 4*f + 31 = 0, -11 + 0 = -221*b + 224*b + 2*f for b.
1
Solve 5*v + 159*m - 8 - 62 = 154*m, v + 2*m = 25 for v.
3
Solve 0 = -6*s + 5*s + k - 6, -k = -9 for s.
3
Solve -69*u + 68*u + t = 0, 3*u - 6*t = 0 for u.
0
Solve 6*s + 23*m - 8 = 19*m, -4*m = -s + 6 for s.
2
Solve -3*b + o = -11, 5*b + 152*o - 157*o = 15 for b.
4
Solve -x - 6 = 192*m - 194*m, 0 = -6*m + 10*m + 8 for x.
-10
Solve 10*x + 5*o - 5 = 5*x, 4*o = 20 for x.
-4
Solve -o = 1165 - 1169, -2*l - 4 = o for l.
-4
Solve -3 = -3*g, -9*t + 105 - 110 = -5*g for t.
0
Solve -1315*v + 1317*v = -5*g + 18, v = g + 9 for g.
0
Solve 125*x = 51*x + 4*g - 374, 4 = 4*g for x.
-5
Solve 2*l = 5*m + 28, -108*m + 12 = -109*m + 2*l for m.
-4
Solve 5*d + 4*k + 28 + 5 = 0, -4*d + 7*k - 6 = 0 for d.
-5
Solve 2407*x = 2402*x + 4*f + 80, 0 = -5*x + 2*f + 90 for x.
20
Solve 1923*x - 1920*x + 5*h + 5 = 0, 22*x - 118 = 2*h for x.
5
Solve 3*p - 5*s = 2, s - 86 = -3*p - 72 for p.
4
Solve 2*q + 331 = 321, 3*q = 3*r - 9 for r.
-2
Solve -887*g = -w - 890*g - 7, 3*w - 2*g - 23 = 0 for w.
5
Solve -b + 3*m - 730 = -723, -3*m = -5*b - 47 for b.
-10
Solve -4*i = -2*f - 0 + 6, 5*i - 26*f = -78 for i.
0
Solve -4*j - 135*n = -143*n + 12, -7 = -3*n + 2 for j.
3
Solve -2*q + 289 = -5*i + 283, -q + 3 = 5*i for i.
0
Solve -52 = -3*q + 4*i, 1461*q - 1466*q + 4*i + 52 = 0 for q.
0
Solve -5*m + 6 = -2*y, 2*m + 4 = -7*y + 22 for m.
2
Solve 4*z = -2*t + 22, 19 = 17*t - 12*t + z for t.
3
Solve 0 = -3*r + 15, 7*s - 3*r + 58 - 50 = 0 for s.
1
Solve 6*x - 7*x = -4*x, 0 = 3*h - 3*x + 21 for h.
-7
Solve -34*s + 28*s + 5*x - 15 = 0, -2*x = -5*s - 6 for s.
0
Solve -201 + 204 = 3*y - 3*s, -3*y - 5*s - 13 = 0 for y.
-1
Solve -p = 3*y - 42, 37*p - 69 = -5*y + 35*p for y.
15
Solve 0 = y - 2*j - 48 + 56, -5*y + 2*j - 16 = 0 for y.
-2
Solve 0 = -u - 12*r + 38, 0 = 18*u - 19*u - r + 5 for u.
2
Solve -s = -3*h - 132 + 129, 17 = -h - s for h.
-5
Solve -r - l = -6, 17*l - 45 = -4*r + 20*l for r.
9
Solve -q = -9*h + 18, 0 = -154*h + 155*h + 3*q - 86 for h.
5
Solve 13*l - 37 = -5*g + 11*l, 4*l = g - 3 for g.
7
Solve -5*s + v = 1199 - 1219, 0 = -4*s + 3*v + 16 for s.
4
Solve -98*g = -98*g - h, 0 = 3*g - 4*h + 12 for g.
-4
Solve -4*i + 33 = -4*c - 3, 2*i - 24 = 4*c for c.
-3
Solve 3*h + 72 - 95 = 5*l, 5*l + 5*h = 25 for l.
-1
Solve -3*y + 31 = -5*g, -4*y + 7*y = -5*g - 49 for y.
-3
Solve 3*v + 53*s + 3 = 50*s, -7 = v - s for v.
-4
Solve 421 - 461 = 5*c - 8*v, 3*c - 15 = -3*v for c.
0
Solve 5*v - 6*v = 4*v + 10*t, -3*t + 20 = -v for v.
-8
Solve 171*d - 174*d = -4*u + 15, -3*u + 7 = 2*d for d.
-1
Solve 7*b - 8*b - 4*k = -13, 4*k = 21 - 9 for b.
1
Solve 4*d + 72*y + 36 = 76*y, 2*y = -30*d - 174 for d.
-6
Solve -4 = -3*o - 245*p + 246*p, -4*p - 28 = 0 for o.
-1
Solve 0 = -4*b + 5*m + 32, -205 = -b + 10*m - 162 for b.
3
Solve -5*h = 3*c + 7, 7*c - 11*c = 3*h + 2 for h.
-2
Solve 0 = 3*g + 3, -828*v + 830*v + 3 = 5*g + 4 for v.
-2
Solve -4*d + 70 = -5*o + d, 0 = -7*d + 8*d for o.
-14
Solve -2*w - 10 = 0, 2*w = 8*t - t + 18 for t.
-4
Solve 5*t - 25 = -j, 0 = -5*j + 5*t - 9 + 14 for j.
5
Solve 43*u - 3*x - 12 = 46*u, 8*u + 84 = 5*x for u.
-8
Solve -2*o + 12 = 4*f, -4*f + 0*o + o = -18 for f.
4
Solve 10*z + 122 = c, 821*z - 43 - 5 = 825*z for c.
2
Solve -26*w + 25*w = -5*l - 11, -w - 4*l - 16 = 0 for w.
-4
Solve -4 = l + 3*s, 76*s - 81*s = 3*l + 4 for l.
2
Solve -v + 5*b + 35 = 0, 0 = 1922*v - 1919*v - b + 7 for v.
-5
Solve 0 = 4*l - v + 13, 0 = 7*l - 2*v + 6*v - 6 for l.
-2
Solve -65*i + 3*h = -62*i - 15, 19*i - 53 = -2*h for i.
3
Solve -104*j + 19 = -g - g - 109*j, -3*j = -2*g + 5 for g.
-2
Solve 99*p - 98*p - 5*i = 15, 3*p - 5*i = 35 for p.
10
Solve -u + 390 - 421 = 4*x, -2*u - x - 6 = 0 for u.
1
Solve 33*z - g + 1 = 30*z + 12, -4*g = 3*z - 1 for z.
3
Solve -i + 16 = 2*w, 2*i - 102 = 4*w - 142 for i.
-2
Solve -210*h = -209*h + 3, 0 = 4*t + 3*h + 13 for t.
-1
Solve -90 = -5*h - 5*n, 96*h + 5*n = 97*h for h.
15
Solve 4*l + 5*t = 161 - 116, 5*t - 25 = -0*t for l.
5
Solve -84210*a + 84204*a - 5*q - 53 = 0, -35 = 5*a - 5*q for a.
-8
Solve -3*u + 9 = -3*r, 0 = -r - u + 5*u - 27 for r.
5
Solve -8 = -4*s + 8*w, 623*s - 2*w - 12 = 627*s for s.
-2
Solve 8*h = k + 43, -2*k = 44*h - 42*h - 22 for k.
5
Solve 70*u = 69*u, 10 = 3*a - 5*a - 3*u for a.
-5
Solve 9*k - 10 = 4*t - 29, -2 = t for k.
-3
Solve -3*n + 18 = -2*i, -96*i - 5*n - 36 = -92*i for i.
-9
Solve 3 = -3*w, 5*w = -3*r + 19 - 12 for r.
4
Solve 3*h = 759 - 765, 2 = 5*v - h for v.
0
Solve x = 7585*h - 7589*h + 47, h + 3*x = 20 for h.
11
Solve 2117*m = 5*c + 2115*m - 11, 0 = 5*c - 3*m - 4 for c.
5
Solve -5*j + 20 = -2*v, -16314*j = 3*v - 16310*j - 16 for v.
0
Solve -a - a - 68*m + 4 = -72*m, -3*m = m for a.
2
Solve -15 = -5*l + 4*w, -7*w + 9 = 19*l - 16*l for l.
3
Solve -5*j - 2*i + 11 = 0, j + 3430*i = 3432*i + 7 for j.
3
Solve -2*d - 18 = 4*h, -29*d = 3*h - 60*d - 214 for h.
-1
Solve 3*r + 420*b = 421*b + 3, 0 = 2*r + 4*b - 2 for r.
1
Solve -g = 3*g + 3*k + 9*k, 5*k + 11 = 31 for g.
-12
Solve -7*h = 3*r + 779 - 762, 0 = 2*h - 4*r for h.
-2
Solve 0 = -4*r + j - 8, -2060*r + 2*j - 11 = -2057*r for r.
-1
Solve 0 = 5*v + j + 8, -65*v - 3*j - 2 = -61*v for v.
-2
Solve -19 = -o - 6*a, 7351*o - 7354*o - 48 = -3*a for o.
-11
Solve 0 = 1216*b - 1211*b - 3*v + 67, 5*b + 2*v + 47 = 0 for b.
-11
Solve 5*f + 10 = 4*z, -2*z = -6*f + 16 - 28 for f.
-2
Solve -36 = 5*t + 5*c - 16, -5*t - 2*c - 14 = 0 for t.
-2
Solve -2*p - 40 = 4*d, 2*p = 28*d - 33*d - 48 for p.
-4
Solve -5*i - u = -4, -5*u = 29499*i - 29501*i - 20 for i.
0
Solve -4*r + 10 = -2*y, 0 = 826*r - 827*r - 3*y - 22 for r.
-1
Solve 2*u + 6 = 4*u, -30*k = -25*k - 2*u + 41 for k.
-7
Solve 3*o + 15 = -3*l, 0 = 38*o - 42*o - 28 for l.
2
Solve 0 = -3*k - 3, 5*y + 3*k + 37 = -26 for y.
-12
Solve -4*b - 32 = -4*n, 1130*b = 1131*b - 4*n + 8 for b.
-8
Solve 3*w = 2*h - 8 + 13, w = -4*h + 25 for h.
5
Solve 3*j = -5*v - 141 + 125, 2*v - 3*j - 2 = 0 for v.
-2
Solve -33*c + k + 10 = -38*c, -5*c - 3*k = 0 for c.
-3
Solve -5*i - 7*t + 29 = -8*t, -5*i = -5*t - 45 for i.
5
Solve 112 - 129 = f - 4*p, 2*p = 6 for f.
-5
Solve -2*n - 9 = 81*r - 78*r, n + 5 = -r for r.
1
Solve -3*k - 75*z + 71*z + 2 = 0, -3*k - 3*z + 3 = 0 for k.
2
Solve -10*v + 52 = 2*g, -29*g = 5*v - 33*g - 21 for v.
5
Solve 4*w - 16 = -4*p - 8, p + 6 = -5*w for p.
4
Solve -94895*l + 94893*l - 5*c = -19, 5*l + 2*c - 16 = 0 for l.
2
Solve 3*u = 3*n, -19*u - 22*u + 39*u = 9*n for n.
0
Solve -l + 4*f - 13*f = -32, -4*l + 120 = 5*f + 116 for l.
-4
Solve -4*n - 2*c = -58, -3*c = -865*n + 862*n + 30 for n.
13
Solve -236*d - 34 = -7*q - 231*d, 4*d = q + 5 for q.
7
Solve 3*d + 51 = -2*i, -d - 4*i + 57 = 84 for d.
-15
Solve -4*o - 3*g - 24 - 21 = 0, g + 8 = o + 21 for o.
-12
Solve 16*r + 4*y + 79 = 131, 5*r - y = 14 for r.
3
Solve -3*b + 8 = n, 29*n - 3*b + 4 = 31*n for n.
-4
Solve -4*i = -44*n + 39*n - 33, -137 = -3*n - 20*i for n.
-1
Solve 7*s - 4*p + 11 = -0*p, 0*s = -s - p for s.
-1
Solve 2*u = -3*a - 48 + 25, 2*a + 42 = 4*u for u.
5
Solve -3*w + 4*x - 3 = 9, -3*x = 2*w - 26 for w.
4
Solve -3*l - 24 = -z, 5*l + 1641*z - 1643*z + 40 = 0 for l.
-8
Solve -5*w + 5 = 0, 10 = 4*o + 2*w - 28 for o.
9
Solve -j - 2*q + 11 = 0, -q + 29 = 4*j + 2*q for j.
5
Solve -1493*l + 15 = -3*c - 1487*l, l = c + 5 for c.
-5
Solve 24 = -5*i - 3*p, -5*i = 14*p + 64 - 7 for i.
-3
Solve 2*o + 48650*p - 7 = 48655*p, -p - 3 = -2*o for o.
1
Solve 5*u + 25 = -4*a, -3091*u = -5*a - 3086*u + 70 for a.
5
Solve -5*w = 3*y + 40, 3*y + w + 1527 - 1507 = 0 for y.
-5
Solve 198*v = 202*v + 52, y = -v - 9 for y.
4
Solve 0 = 4*l - 12 - 8, 0 = -4*s + l + 15 for s.
5
Solve -3*m - 33 = 4*g, -14*m = -18*m + 2*g for m.
-3
Solve 0*y = -f - 3*y + 2, 0 = -5*f + y + 26 fo
|
{
"pile_set_name": "DM Mathematics"
}
|
8
What is the highest common divisor of 38622 and 1413?
471
Calculate the highest common factor of 120 and 14610.
30
What is the highest common factor of 63 and 39081?
21
Calculate the greatest common factor of 56 and 18732.
28
Calculate the highest common factor of 27897 and 663.
51
Calculate the greatest common factor of 51964 and 44.
44
What is the highest common divisor of 3594 and 1346552?
1198
What is the highest common divisor of 4818 and 3139?
73
Calculate the greatest common factor of 10406 and 10750.
86
What is the highest common divisor of 1590312 and 6432?
1608
Calculate the highest common divisor of 720 and 1543536.
144
What is the highest common factor of 175 and 90300?
175
What is the greatest common factor of 12 and 7960?
4
What is the greatest common divisor of 5710 and 230?
10
Calculate the highest common factor of 65 and 41665.
65
Calculate the greatest common factor of 1426 and 7657.
31
What is the highest common divisor of 1224 and 950436?
612
What is the greatest common factor of 179 and 17293548?
179
What is the greatest common factor of 28861 and 1085?
217
Calculate the greatest common divisor of 4747 and 808.
101
What is the highest common factor of 12 and 140124?
12
Calculate the greatest common factor of 130869 and 786.
393
Calculate the highest common divisor of 5700 and 684.
228
What is the greatest common factor of 2938 and 8658?
26
Calculate the greatest common factor of 22 and 19723.
11
What is the greatest common factor of 8325 and 1686645?
1665
Calculate the highest common divisor of 16341 and 6.
3
Calculate the highest common divisor of 1048 and 3208.
8
Calculate the greatest common factor of 17 and 15062.
17
What is the highest common divisor of 4476 and 3156?
12
What is the highest common divisor of 40526 and 92?
46
What is the highest common factor of 24386 and 123176?
178
Calculate the highest common factor of 3619030 and 10.
10
Calculate the greatest common factor of 4060 and 191632.
812
Calculate the highest common factor of 24474 and 36.
6
Calculate the greatest common divisor of 64 and 4509680.
16
What is the highest common divisor of 740 and 4889180?
740
Calculate the highest common divisor of 223124 and 7744.
484
Calculate the greatest common factor of 3960 and 2835.
45
What is the greatest common factor of 1078 and 49434?
154
Calculate the greatest common factor of 213724 and 252.
28
What is the highest common factor of 25 and 294925?
25
Calculate the greatest common divisor of 1988 and 7526.
142
Calculate the highest common divisor of 459 and 1173663.
459
Calculate the greatest common divisor of 9590 and 98.
14
What is the greatest common divisor of 30821 and 2072?
259
What is the greatest common factor of 1469965 and 105?
35
What is the highest common factor of 2336 and 36354?
146
Calculate the greatest common divisor of 880 and 48.
16
What is the highest common factor of 1223451 and 401?
401
Calculate the highest common factor of 301 and 12857.
43
Calculate the greatest common divisor of 91351 and 91.
13
What is the greatest common factor of 10 and 107892?
2
What is the greatest common divisor of 8883 and 1281?
21
What is the greatest common factor of 15300 and 7820?
340
What is the highest common divisor of 294368 and 2032?
16
Calculate the greatest common divisor of 14041038 and 57.
57
What is the highest common factor of 118663 and 535?
107
Calculate the highest common divisor of 225901 and 26.
13
What is the greatest common factor of 2337642 and 3294?
1098
What is the greatest common divisor of 364 and 5613062?
182
Calculate the highest common divisor of 250 and 271720.
10
Calculate the greatest common divisor of 46768 and 1480.
296
Calculate the highest common divisor of 234 and 11531.
13
What is the highest common factor of 6860 and 1120?
140
Calculate the highest common factor of 1855 and 45421.
53
Calculate the highest common divisor of 23636 and 532.
76
What is the greatest common divisor of 380 and 285570?
190
What is the highest common divisor of 14849 and 128851?
479
What is the greatest common factor of 24728 and 75308?
1124
Calculate the highest common factor of 61264 and 560.
112
Calculate the highest common divisor of 476 and 21556.
68
Calculate the highest common divisor of 645 and 46053.
129
Calculate the highest common divisor of 3781 and 95.
19
Calculate the greatest common factor of 66816 and 261.
261
What is the highest common divisor of 1279 and 19644161?
1279
Calculate the greatest common divisor of 8302 and 154.
14
What is the highest common factor of 4 and 67698?
2
What is the highest common factor of 12315 and 615?
15
Calculate the greatest common factor of 1078946 and 11.
11
Calculate the highest common factor of 44822 and 81322.
146
Calculate the greatest common factor of 117 and 471159.
117
What is the greatest common factor of 154336 and 2597?
371
What is the highest common divisor of 127 and 835025?
127
What is the greatest common factor of 280 and 190925?
35
What is the highest common divisor of 1064 and 16644?
76
What is the greatest common divisor of 19740 and 3640?
140
Calculate the highest common factor of 2839 and 470773.
167
What is the highest common divisor of 4943597 and 23?
23
Calculate the highest common divisor of 2638671 and 105.
21
What is the greatest common divisor of 1815 and 40095?
165
What is the highest common factor of 7749676 and 44?
44
What is the highest common factor of 283926 and 6162?
474
What is the greatest common divisor of 31 and 181?
1
Calculate the greatest common factor of 20701 and 1016.
127
What is the greatest common factor of 12178 and 8?
2
Calculate the highest common divisor of 683964 and 48.
12
Calculate the highest common factor of 846929 and 33621.
1601
Calculate the greatest common divisor of 1607200 and 7700.
700
Calculate the greatest common divisor of 49 and 507003.
49
Calculate the highest common factor of 241085 and 520.
65
Calculate the greatest common factor of 57968 and 128.
16
Calculate the greatest common factor of 39307 and 23.
23
Calculate the greatest common factor of 81 and 3861.
27
Calculate the highest common factor of 1978 and 34753.
23
What is the greatest common factor of 25481 and 8903?
307
Calculate the highest common factor of 38505 and 595.
85
What is the greatest common divisor of 63195 and 66?
33
What is the greatest common factor of 27 and 151236?
9
What is the greatest common divisor of 3528 and 8656?
8
What is the highest common factor of 25 and 817975?
25
What is the highest common factor of 10959 and 507?
39
What is the greatest common factor of 6559 and 151794?
937
What is the highest common factor of 62176 and 34572?
268
Calculate the greatest common factor of 432 and 24516.
108
What is the highest common divisor of 527 and 409003?
17
Calculate the highest common factor of 880 and 1420.
20
Calculate the greatest common divisor of 7710 and 4890.
30
What is the highest common factor of 460 and 32292?
92
What is the highest common divisor of 1920100 and 65?
65
Calculate the greatest common factor of 7689 and 198.
33
What is the highest common divisor of 59458 and 1054?
62
Calculate the highest common factor of 10703 and 259.
7
What is the highest common factor of 982 and 6?
2
What is the highest common divisor of 221270 and 1199?
109
Calculate the greatest common factor of 2900 and 36250.
1450
What is the highest common divisor of 1670 and 3060?
10
Calculate the highest common factor of 954 and 20637.
9
What is the highest common factor of 16760 and 6280?
40
What is the greatest common factor of 429434 and 246?
82
Calculate the highest common divisor of 864 and 383616.
864
What is the highest common factor of 507000 and 5250?
750
Calculate the highest common divisor of 60868 and 68.
4
Calculate the highest common divisor of 1673026 and 114.
38
What is the highest common divisor of 2 and 936401?
1
What is the greatest common divisor of 235450 and 102?
34
What is the highest common divisor of 9922 and 40777?
121
What is the greatest common divisor of 9 and 298656?
9
Calculate the greatest common divisor of 1125 and 9375.
375
Calculate the greatest common factor of 29718 and 468.
234
What is the greatest common divisor of 2520 and 6696?
72
What is the greatest common divisor of 96 and 184
|
{
"pile_set_name": "DM Mathematics"
}
|
8516766 a multiple of 17?
False
Is 2367494580 a multiple of 1005?
True
Does 2251 divide 132378331?
False
Is 739356735 a multiple of 171?
False
Does 139 divide 315332298?
False
Is 149 a factor of 356610580?
False
Is 2749337496 a multiple of 67?
True
Is 1155574 a multiple of 59?
True
Is 7 a factor of 9888711?
True
Is 658578502 a multiple of 983?
False
Is 66753628 a multiple of 3754?
True
Does 46 divide 2359304084?
False
Is 85868750 a multiple of 1375?
True
Is 23249487 a multiple of 129?
False
Does 5 divide 40729950?
True
Is 25115034 a multiple of 21?
True
Is 536141877 a multiple of 6?
False
Is 45 a factor of 59128875?
True
Is 79805111 a multiple of 276?
False
Does 334 divide 39500510?
True
Does 25 divide 29816959?
False
Is 596936097 a multiple of 9?
True
Is 884269 even?
False
Does 6 divide 305453147?
False
Is 8 a factor of 216906235?
False
Is 628466264 a multiple of 24?
False
Is 24611921 a multiple of 4?
False
Is 351 a factor of 2168829?
True
Is 1362977069 a multiple of 1430?
False
Is 250847904 a multiple of 96?
True
Is 557 a factor of 4244050415?
False
Is 628 a factor of 175202580?
True
Is 980 a factor of 348226150?
False
Is 19 a factor of 151981893?
True
Is 1396 a factor of 1000361036?
True
Is 25003607 a multiple of 33?
False
Is 4018 a factor of 1268615194?
True
Does 2 divide 11597104?
True
Is 187145882 a multiple of 114?
False
Is 1418 a factor of 10137282?
True
Is 15256851 a multiple of 12?
False
Is 29687659 a multiple of 59?
False
Is 22 a factor of 148519756?
True
Is 73172352 a multiple of 187?
True
Is 209 a factor of 19511972?
False
Is 9 a factor of 53731600?
False
Does 49 divide 715321159?
True
Is 95853880 a multiple of 43?
True
Is 199594356 a multiple of 87?
True
Is 20961420 a multiple of 12?
True
Is 163205737 a multiple of 7?
False
Is 343291036 a multiple of 130?
False
Does 464 divide 64206464?
True
Is 165 a factor of 14624253?
False
Is 53 a factor of 7973214?
True
Does 73 divide 65783293?
True
Does 5576 divide 602648504?
True
Is 8772741 a multiple of 76?
False
Is 125 a factor of 36336537?
False
Does 11 divide 1819235522?
False
Is 15 a factor of 113131735?
False
Is 61389272 a multiple of 28?
True
Is 749716868 a multiple of 1284?
False
Is 10 a factor of 937773400?
True
Does 20 divide 14857120?
True
Is 156 a factor of 29601000?
True
Is 24 a factor of 149155944?
True
Does 162 divide 781937874?
True
Is 7 a factor of 69413883?
True
Is 92390008 a multiple of 83?
False
Does 2603 divide 2018922943?
False
Does 50 divide 3648494?
False
Is 119 a factor of 4039455?
True
Is 125 a factor of 159613421?
False
Does 16 divide 293319229?
False
Does 346 divide 1554486?
False
Does 228 divide 65785788?
False
Is 122 a factor of 369889444?
False
Is 307778057 a multiple of 4?
False
Does 96 divide 37441344?
True
Does 98 divide 614418252?
True
Is 14627474 a multiple of 31?
True
Does 326 divide 22329370?
True
Does 42 divide 175157668?
False
Is 2173163 a multiple of 51?
False
Is 39642674 a multiple of 8?
False
Is 2378 a factor of 1134985388?
False
Is 24307284 a multiple of 58?
False
Is 1192 a factor of 7939283?
False
Is 9 a factor of 572856881?
False
Is 17 a factor of 1640535427?
False
Does 14 divide 1073716?
True
Does 3095 divide 1176100?
True
Does 49 divide 29459580?
False
Is 8 a factor of 299295552?
True
Does 85 divide 1162677345?
True
Is 4 a factor of 502484?
True
Does 10 divide 46247475?
False
Does 4 divide 35152000?
True
Is 50898011 a multiple of 353?
True
Does 5702 divide 1087941600?
True
Is 11 a factor of 29267194?
True
Does 20 divide 2813093160?
True
Does 1473 divide 7471056?
True
Does 13351 divide 4466016308?
True
Is 31 a factor of 1005034?
False
Is 38306109 a multiple of 61?
True
Is 44426968 a multiple of 21?
False
Does 3122 divide 493313501?
False
Is 36 a factor of 64760040?
True
Is 229951417 a multiple of 32?
False
Is 42068305 a multiple of 253?
False
Does 15 divide 100897241?
False
Is 855088026 a multiple of 1131?
True
Does 1677 divide 3111542?
False
Is 9 a factor of 269342228?
False
Is 55587490 a multiple of 203?
True
Is 3 a factor of 37017568?
False
Is 181479331 a multiple of 2?
False
Is 7 a factor of 65684823?
False
Is 32682464 a multiple of 2?
True
Is 81274104 a multiple of 274?
False
Does 111 divide 2618666381?
False
Does 21 divide 724687614?
True
Is 263 a factor of 20214180?
True
Is 268 a factor of 1174450728?
False
Does 8535 divide 4720332960?
True
Is 25 a factor of 1636725?
True
Is 121 a factor of 159770243?
False
Is 12 a factor of 345841827?
False
Is 1396984559 a multiple of 167?
True
Does 417 divide 147465508?
False
Is 22 a factor of 35671196?
True
Does 86 divide 166815576?
True
Is 777 a factor of 3064195071?
True
Is 7883615 a multiple of 5?
True
Is 99 a factor of 2483210565?
True
Is 92317698 a multiple of 3942?
True
Is 8 a factor of 3180066928?
True
Does 216 divide 20758844?
False
Is 10929600 a multiple of 230?
True
Is 13 a factor of 40441583?
True
Is 35726505 a multiple of 163?
False
Does 224 divide 67404881?
False
Does 174 divide 512101013?
False
Is 18835580 a multiple of 610?
True
Is 141205948 a multiple of 26?
True
Does 14 divide 11112571?
False
Does 2097 divide 73616742?
False
Is 1372048200 a multiple of 6?
True
Is 548433427 a multiple of 554?
False
Does 1670 divide 265446889?
False
Does 237 divide 21863250?
True
Is 1787 a factor of 6363643?
False
Is 37 a factor of 840196?
True
Is 32308160 a multiple of 16?
True
Does 21 divide 464290596?
True
Is 204582000 a multiple of 56?
True
Is 20 a factor of 1363222513?
False
Is 193 a factor of 422460016?
True
Is 66 a factor of 9664945?
False
Does 34 divide 11215512?
True
Is 69463368 a multiple of 1128?
True
Is 42 a factor of 16823416?
False
Is 14 a factor of 119716547?
False
Does 5305 divide 171159499?
False
Does 49 divide 50290268?
True
Is 5 a factor of 9868560?
True
Is 49 a factor of 16044896?
False
Is 36 a factor of 502231464?
True
Does 42 divide 678742995?
False
Is 25 a factor of 6668715?
False
Is 118163690 a multiple of 331?
True
Is 1807170 a multiple of 885?
True
Is 7 a factor of 14459389?
True
Does 92 divide 4074227?
False
Does 749 divide 27480061?
True
Is 17 a factor of 1351393325?
True
Does 73 divide 8873760?
False
Is 5931844 a multiple of 6?
False
Is 1230 a factor of 65499960?
True
Is 2613032096 a multiple of 9238?
False
Does 360 divide 49829400?
True
Is 102 a factor of 8345710?
False
Is 73535305 a multiple of 19?
False
Is 503399358 a multiple of 77?
True
Does 3794 divide 55895052?
False
Does 60 divide 978964680?
True
Does 27 divide 213714990?
True
Is 297 a factor of 313696787?
False
Does 143 divide 15552846?
False
Is 63 a factor of 7154217?
True
Is 12 a factor of 633284537?
False
Is 2503 a factor of 1857931846?
True
Does 207 divide 67805951?
False
Is 589537069 a multiple of 31?
False
Does 156 divide 28449170?
False
Is 6 a factor of 9729630?
True
Is 214 a factor of 8044688?
True
Is 66 a factor of 154828146?
True
Is 137754330 a multiple of 10?
True
Is 288 a factor of 954403200?
True
Does 449 divide 83633883?
True
Is 2431967122 a multiple of 16?
False
Does 19 divide 3289882575?
False
Is 802340724 a multiple of 655?
False
Is 405 a factor of 1444566010?
False
Is 3120 a factor of 2294561371?
False
Is 4 a factor of 1765736?
True
Is 340761 a multiple of 10?
False
Is 915 a factor of 416886810?
True
Is 292 a factor of 791128448?
True
Is 69 a factor of 59812079?
False
Is 117261505 a multiple of 89?
True
Does 15 divide 312790510?
False
Does 19 divide 8910886?
True
Is 96 a factor of 979841538?
False
Is 633 a factor of 1087707724?
False
Is 173991240 a multiple of 60?
True
Is 584322358 a multiple of 32?
False
Does 13 divide 1083904406?
True
Is 284836496 a multiple of 476?
True
Is 6959806 a multiple of 1126?
True
Is 555422105 a multiple of 506?
False
Is 232 a factor of 90769869?
False
Is 733 a factor of 17227249?
False
Is 18313439 a multiple of 150?
False
Is 64210692 a multiple of 42?
True
Is 145 a factor of 50572085?
True
Does 421 divide 560614615?
False
Is 26999116 a multiple of 57?
False
Is 7 a factor of 13428664?
False
Does 766 divide 495979638?
True
Is 250 a factor of 27109009?
False
Is 323 a factor of 130102103?
False
Is 359 a factor of 14598017?
True
Is 96 a factor of 1020668698?
False
Is 292522238 a multiple of 177?
False
Does 34 divide 3733718?
False
Does 16 divide 479968608?
True
Does 881
|
{
"pile_set_name": "DM Mathematics"
}
|
culate prob of picking 1 b and 1 a when two letters picked without replacement from {a: 11, b: 3, q: 1, n: 4}.
11/57
Three letters picked without replacement from {o: 1, d: 2, n: 3, l: 4}. Give prob of picking 1 o, 1 d, and 1 l.
1/15
Three letters picked without replacement from {g: 2, o: 1, e: 3, t: 1, v: 4, c: 4}. Give prob of picking 1 o, 1 t, and 1 g.
2/455
Calculate prob of picking 1 u and 2 f when three letters picked without replacement from {u: 17, f: 3}.
17/380
What is prob of picking 2 f when two letters picked without replacement from {f: 2, p: 2, m: 3, r: 2}?
1/36
Three letters picked without replacement from {x: 9, d: 11}. Give prob of picking 1 x and 2 d.
33/76
What is prob of picking 1 h and 1 l when two letters picked without replacement from {h: 3, x: 3, w: 3, l: 1}?
1/15
What is prob of picking 3 w when three letters picked without replacement from wxwwxwxwxwwx?
7/44
Calculate prob of picking 1 k and 1 n when two letters picked without replacement from {l: 3, n: 3, w: 2, d: 4, k: 2, o: 1}.
2/35
Calculate prob of picking 2 x and 1 m when three letters picked without replacement from xqeemqmmzumx.
1/55
Three letters picked without replacement from amchmqmabchc. What is prob of picking 1 b, 1 q, and 1 m?
3/220
What is prob of picking 1 m and 1 d when two letters picked without replacement from dmmmddmmmd?
8/15
What is prob of picking 1 z and 2 w when three letters picked without replacement from {w: 2, z: 1, p: 1, x: 2}?
1/20
Calculate prob of picking 2 h and 1 m when three letters picked without replacement from {m: 2, b: 1, h: 14}.
91/340
Three letters picked without replacement from smhsspts. Give prob of picking 2 s and 1 t.
3/28
Four letters picked without replacement from hhhhh. What is prob of picking 4 h?
1
Three letters picked without replacement from {a: 6, k: 1, w: 5, m: 1, x: 1}. What is prob of picking 1 w, 1 m, and 1 k?
5/364
Four letters picked without replacement from {r: 2, m: 3, k: 2, g: 3, c: 6}. What is prob of picking 2 g and 2 r?
3/1820
Calculate prob of picking 1 d and 1 k when two letters picked without replacement from dudduddkdkdx.
7/33
Calculate prob of picking 4 h when four letters picked without replacement from {q: 4, h: 6}.
1/14
What is prob of picking 1 j, 1 k, and 1 m when three letters picked without replacement from kkkkjkkmkkkkk?
1/26
What is prob of picking 2 h and 2 r when four letters picked without replacement from rhhhhrhhrrrhrrrrhh?
36/85
Calculate prob of picking 2 f when two letters picked without replacement from {f: 3, h: 1, r: 1, o: 5}.
1/15
Four letters picked without replacement from {t: 3, d: 3, h: 2}. Give prob of picking 3 t and 1 d.
3/70
What is prob of picking 1 d and 1 k when two letters picked without replacement from odkfdkdfkdddfdkfkkf?
14/57
Two letters picked without replacement from {u: 1, j: 1, i: 3, q: 2}. Give prob of picking 1 u and 1 j.
1/21
Three letters picked without replacement from {p: 3, f: 5}. What is prob of picking 3 p?
1/56
Four letters picked without replacement from vhvsyysvyyesyevrsyh. Give prob of picking 2 e, 1 y, and 1 h.
1/323
Four letters picked without replacement from {z: 3, e: 1, b: 1, n: 6, g: 1}. What is prob of picking 1 g, 2 n, and 1 z?
1/11
Calculate prob of picking 1 a, 1 i, and 1 l when three letters picked without replacement from aqqlaqilaa.
1/15
Two letters picked without replacement from kzelo. Give prob of picking 1 z and 1 k.
1/10
What is prob of picking 2 a, 1 d, and 1 l when four letters picked without replacement from {l: 2, a: 8, d: 4}?
32/143
Two letters picked without replacement from afaaaafpapaa. Give prob of picking 2 p.
1/66
Calculate prob of picking 1 e, 1 u, and 2 w when four letters picked without replacement from wewwwueuuua.
8/55
What is prob of picking 1 n and 3 o when four letters picked without replacement from {n: 7, o: 7}?
35/143
Calculate prob of picking 1 b, 1 d, and 2 z when four letters picked without replacement from bpbzbdzbrdbbbdd.
4/195
Four letters picked without replacement from {f: 6, n: 13}. What is prob of picking 3 f and 1 n?
65/969
Calculate prob of picking 1 d, 1 w, and 1 e when three letters picked without replacement from {m: 2, j: 4, e: 2, w: 1, d: 6}.
12/455
Four letters picked without replacement from urumuuwuuuuuuwwww. Give prob of picking 1 r and 3 w.
1/238
Two letters picked without replacement from {m: 3, r: 1}. What is prob of picking 1 r and 1 m?
1/2
What is prob of picking 1 a and 2 t when three letters picked without replacement from {t: 8, a: 2}?
7/15
Four letters picked without replacement from rptfmptmptpptmm. Give prob of picking 1 f and 3 m.
4/1365
Three letters picked without replacement from {i: 1, z: 1, m: 2, t: 3, p: 3, h: 3}. What is prob of picking 1 m, 1 t, and 1 h?
9/143
Three letters picked without replacement from {l: 4, k: 2, n: 3}. Give prob of picking 3 n.
1/84
What is prob of picking 3 a and 1 h when four letters picked without replacement from phpahahpaaahahpphhp?
35/969
Two letters picked without replacement from {j: 2, d: 2, w: 1}. What is prob of picking 1 w and 1 j?
1/5
What is prob of picking 2 x and 2 q when four letters picked without replacement from qqqxxqqqxqqqqqxqqq?
91/510
What is prob of picking 1 u and 1 t when two letters picked without replacement from {t: 5, u: 2}?
10/21
Three letters picked without replacement from {u: 10, c: 10}. What is prob of picking 1 u and 2 c?
15/38
Two letters picked without replacement from {p: 7, l: 4, b: 4}. Give prob of picking 1 p and 1 l.
4/15
Two letters picked without replacement from bbqbbqbbbbbbb. What is prob of picking 2 b?
55/78
What is prob of picking 1 a, 1 n, and 1 t when three letters picked without replacement from onntntsasstnnnnnnns?
10/323
What is prob of picking 2 m when two letters picked without replacement from {i: 2, m: 5, g: 4}?
2/11
What is prob of picking 1 w, 2 f, and 1 x when four letters picked without replacement from {n: 2, g: 2, w: 1, x: 1, f: 2, d: 1}?
1/126
What is prob of picking 1 b and 2 y when three letters picked without replacement from yyyyybbbybyb?
21/44
What is prob of picking 1 p and 2 o when three letters picked without replacement from {p: 5, a: 2, o: 2}?
5/84
Three letters picked without replacement from llllmmmbmllllbll. Give prob of picking 2 b and 1 l.
1/56
What is prob of picking 3 e when three letters picked without replacement from {i: 16, e: 4}?
1/285
What is prob of picking 1 h and 1 a when two letters picked without replacement from yehhyyeeyhay?
1/22
Four letters picked without replacement from {v: 1, a: 1, t: 1, w: 2, y: 1, g: 1}. Give prob of picking 1 y, 1 w, 1 v, and 1 a.
2/35
What is prob of picking 1 g, 1 q, and 1 n when three letters picked without replacement from ghhghphpnqhh?
1/110
Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {r: 4, g: 2}.
8/15
Four letters picked without replacement from gdpgpdgppgdvvpd. Give prob of picking 1 p, 2 d, and 1 g.
8/91
Three letters picked without replacement from xxreyeerybxbx. Give prob of picking 1 e, 1 r, and 1 y.
6/143
Three letters picked without replacement from spejjjppps. Give prob of picking 1 s and 2 p.
1/10
What is prob of picking 2 b and 2 v when four letters picked without replacement from vvbvvvvvbvvvvvvvvvvb?
8/95
Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, c: 1}.
1/3
Calculate prob of picking 1 f, 1 w, and 2 z when four letters picked without replacement from {z: 2, v: 1, i: 2, p: 1, w: 2, f: 1}.
1/63
Three letters picked without replacement from {x: 4, o: 3}. Give prob of picking 3 o.
1/35
What is prob of picking 4 g when four letters picked without replacement from gggggfgggff?
7/33
Two letters picked without replacement from {m: 1, w: 2}. What is prob of picking 1 m and 1 w?
2/3
Two letters picked without replacement from jyloltljtyyjiljiyitj. What is prob of picking 1 l and 1 i?
6/95
Four letters picked without replacement from ihqipge. Give prob of picking 2 i, 1 e, and 1 p.
1/35
Calculate prob of picking 1 j and 2 z when three letters picked without replacement from {j: 2, w: 5, z: 2}.
1/42
Two letters picked without replacement from {w: 4, e: 3, s: 6}. Give prob of picking 1 w and 1 e.
2/13
What is prob of pick
|
{
"pile_set_name": "DM Mathematics"
}
|
at least t?
False
Let a be (-1226)/(-40) - 2/5. Let c = -30 + a. Let l = 5 + -5.1. Is c < l?
False
Suppose 0 = -5*q + 2*q. Let a be 1 + ((-10)/4 - q). Let x(i) = -i**3 + 5*i**2 + i - 4. Let t be x(5). Is t at least a?
True
Let b = -15461 + 9446673/611. Which is smaller: b or 0?
0
Let p = 5 + -2. Suppose -f + 6 = 4, 3*u - 7 = f. Is p at least as big as u?
True
Let b be 0/(10*4/(-8)). Is 4/9 equal to b?
False
Suppose 2*j - 2*q + 32 = 0, -j - 10 - 6 = 4*q. Let g be 1/(2*(-2)/j). Suppose 4*a + 3*b - 3 = 4, 0 = -g*a - 2*b + 6. Is a >= -0.1?
True
Let b = 8214/1339 - 80/13. Which is greater: -1 or b?
b
Let j be -3 + -1 + (-92)/(-30). Let z = -8/5 - j. Which is smaller: z or -2?
-2
Let o(a) = -a - 9. Let v be o(-7). Let r = 0 + -1. Do v and r have different values?
True
Suppose -5*t = -3*t + 16. Is -9 not equal to t?
True
Suppose 0 = 5*t + 3*u - 78 + 18, 12 = t + u. Let z be (-7272)/45*t/10. Let l = z + 194. Which is bigger: 1 or l?
1
Let x be 4*-2*(-1)/(-28). Let m = -11 - -11. Which is smaller: m or x?
x
Let u = 0.2 - 0.02. Let i = u - 0.08. Does 0 = i?
False
Suppose 3*h = 4*c - 31, -h + 5*c - 21 = c. Does h = -3?
False
Let m(c) = 4*c - 8. Let r be m(-7). Let p be (2/(-10))/(r/(-135)). Is p >= -2?
True
Let n be -1 + (3 - 0) - -10. Suppose v - 4*v = -n. Let o be 4/30*6/v. Which is bigger: o or 0?
o
Let a = 7 - 8. Let v be (a - 6/(-3))/4. Is v bigger than -2/3?
True
Let q = 2 - 3. Let o = 13 - 71/5. Which is smaller: q or o?
o
Let b be (-5)/20 + 7/40. Let t be 81/120 + (-4)/10. Let m = b + t. Which is smaller: m or 0?
0
Suppose 0 = -5*o + 4*y + 5, -4*y = 4*o - 3 - 1. Suppose 15 = 4*s - o. Let v(p) = p**2 - 2*p. Let i be v(3). Which is bigger: i or s?
s
Let l = -75/8 - -447/40. Which is bigger: l or 3?
3
Let f = 95 - 68. Suppose 5*y = -f - 23. Let p be y/(-4) - 4/(-8). Is p at most 4?
True
Let l be (-3)/(-2)*6 + 2. Let f = 11 - l. Is 2 < f?
False
Let f = -8 - -3. Let d = -87/5 - -69/5. Do d and f have the same value?
False
Let b be 50/12 - 10/60. Let x = 4 - b. Which is bigger: -1 or x?
x
Let l = 17 + -32. Suppose -t = -4*h - 51, 51 - 14 = -3*h + 2*t. Is h at least l?
True
Let s be 2/6 + (-5)/6. Let c = -7 + 2. Let k be (c - -4) + 3/4. Which is smaller: s or k?
s
Let u = 0.43 - 0.33. Which is smaller: u or -2/3?
-2/3
Suppose 0 = -2*v + 3*v. Let l be (-3)/(-1)*(-2)/(-3). Suppose 16 = 3*x + 4*r, r - 2 = -3*x + l. Is x less than v?
False
Let r be 6/4*8/(-48). Which is greater: r or 4/13?
4/13
Let k = 90 + -179/2. Let m = -6 - -8. Is m less than k?
False
Let d be 4/(-10) + 4/10. Let s = 1874/9 - 208. Which is greater: d or s?
s
Suppose 0 = -2*i - 15 + 3. Let l be (i/(-8))/((-3)/2). Let h = -6 - -5. Is l greater than or equal to h?
True
Suppose w = -0*w + 4. Let c be 1*-2*1/w. Is c at most as big as 1/3?
True
Let a be 4/18 + 520/90. Is 3 at most a?
True
Suppose 5*w = -5*x - 2 + 7, 7 = 3*w - x. Suppose -r = w*r. Let u be 10/12 + 2/(-4). Which is bigger: r or u?
u
Let u = 220 - 2181/10. Which is bigger: u or 3?
3
Let m = -70 - -72.97. Let x = m - -0.03. Let a = 37/36 + -7/9. Which is bigger: x or a?
x
Suppose 3*u + 5 = 23. Suppose u*r = r. Is -1 at least r?
False
Let r = 2 + -1.7. Let s = 0.2 - r. Let i = -1.1 - s. Is i greater than 2?
False
Let c = 25 + -23. Let f = 2 + -1. Do c and f have different values?
True
Let b(s) be the second derivative of -s**5/20 - 5*s**4/12 - s**3/6 - 3*s**2 - 4*s. Suppose 0 = -4*u + 13 - 33. Let j be b(u). Which is greater: -3 or j?
j
Let v be (4 - 4) + 21/(-770). Is v bigger than -1?
True
Let b(d) = 9*d + 4*d - 4 - 6*d - d**2. Let u be b(6). Let j be 0/(15/(-3) + u). Are j and 0 equal?
True
Let m(j) be the first derivative of -j**2/2 + 5*j + 3. Let n be m(5). Which is bigger: 0.3 or n?
0.3
Suppose -6*w + 23 + 79 = 0. Is 16 less than w?
True
Let j = -5 + 7. Suppose -m + 3*s - 16 = 0, -3*s - j*s = 4*m - 21. Is -1 at most m?
True
Suppose s + 19 = -3*s + 3*b, 0 = -5*b + 25. Let z(t) = -t + 1. Let j be z(-1). Is s not equal to j?
True
Let p = -5035/429 + 11/39. Which is greater: p or -11?
-11
Let h = 13 - 12. Is h at least -2/15?
True
Suppose -4*w - 19 = -3*t, -5*t - 7 = 4*w + 4. Suppose 11*y + 21 = 4*y. Which is smaller: y or w?
w
Suppose 0 = b - 3*y - 2*y + 3, -4*b + 84 = 4*y. Are 17 and b unequal?
False
Suppose 3 = -2*c + 1. Let p be (-7)/(-15)*22/77. Which is smaller: p or c?
c
Suppose -31 + 133 = 2*s + m, -m - 216 = -4*s. Are s and 0 unequal?
True
Suppose -y - l + 10 = -6*l, 2*l = -2*y - 4. Suppose y = 2*k - 0*k + 2. Let h = -65 - -843/13. Is h not equal to k?
True
Suppose -2*c - 4*s = 28, 0*s + 20 = 5*s. Is c equal to -22?
True
Let o be (-2)/5 + 36/15. Let c be o/1 + (-4)/2. Which is greater: -1 or c?
c
Let s be (-1 - -1) + (1 - 0). Let j be (6/18)/((-2)/(-18)). Suppose 0 = 2*b - j*x - 15, 3*b + s = -x - 4. Is 0 bigger than b?
False
Let t(i) = 2*i + 10. Let q be t(-7). Suppose 0 = 4*m - 2 + 6. Let g = -5 - m. Is q <= g?
True
Let u = 134.3 + -132. Which is greater: -0.3 or u?
u
Let u(x) = x**3 + 8*x**2. Let d be u(-8). Let s = 123/254 - -2/127. Is s != d?
True
Let u = 0.75 + -0.65. Which is smaller: u or 10?
u
Let n = 2 - 2.2. Let w = n + 0.4. Let v = w - 0.3. Is 1/4 at most as big as v?
False
Let q be 5/35 - 27/(-7). Let p(r) = 2*r - 4. Let l be p(q). Is 7 != l?
True
Let q(h) = -h**3 - 8*h**2 - 12*h. Let d be q(-6). Does d = -5/34?
False
Let g(k) = 3*k**2 - 10*k + 7. Let y(u) = 4*u**2 - 11*u + 8. Let r(n) = -3*g(n) + 2*y(n). Let a be r(6). Does 7 = a?
True
Let h be ((-30)/(-8))/((-3)/12). Let j be (h/(-90))/((-2)/(-8)). Let d = -2 - -2. Which is smaller: d or j?
d
Let f = 134 + -134.19. Is 4 < f?
False
Let y = 0.3 - 0.6. Let i = -0.1 - y. Let g = 3 - 1. Which is smaller: g or i?
i
Suppose -2*l + l = 0, -4*f + 4*l = 4. Let m be f + 2 - 1*3. Let j(b) = -2*b**2 - 1. Let p be j(1). Is m less than or equal to p?
False
Let x(n) = -n**2 + 2*n + 2. Let l be x(3). Let c be (l + 1 + 0)/2. Is 0 < c?
False
Let y be ((-6)/(-15))/((-18)/10). Let d = -3 + 5. Suppose -2*k = d*k. Is k equal to y?
False
Let n = 2810 - 317528/113. Is n < 1?
True
Let g = -295 + 2087/7. Do g and 3 have the same value?
False
Let q(c) = -7*c**2 - 2*c - 1. Let g be q(-1). Let z be 0 - 3/6*4. Let h be g - ((2 - 2) + z). Is -1 at least as big as h?
True
Let m be (1 - (1 - (3 - 3)))*-1. Which is smaller: m or 3/8?
m
Let f be 0 - (7 + (4 - 2)). Is f at most -6?
True
Let j = -1/231 + -673/4620. Which is smaller: j or 0?
j
Suppose -j + 2*k = -17, j - 5*k = -4*j + 70. Do 10 and j have the same value?
False
Let d(q) = 7*q**3 - 2*q**2 + 2*q - 1. Let u be d(1). Suppose 6*y = 3*y + u. Let m be (6/9 - 0)/y. Which is bigger: m or 2/5?
2/5
Let v = -10 + -7. Is v equal to -16?
False
Suppose 0 = 4*f - i + 49, 3*f = 3*i + i - 40. Is -7 greater than or equal to f?
True
Suppose -3*h + 2*b = -89, 3*h = -h - 3*b + 113. Which is bigger: h or 28?
h
Let h = -187/7 - -27. Which is smaller: h or 0?
0
Let j(q) = q**3 - 15*q**2 + 12*q + 30. Let i be j(14). Suppose 0 = -4*p + 8. Does p = i?
True
Suppose 6 = 3*i - 0. Let m be 28/(-88) + i/4. Is m < 3?
True
Let t be (-19)/(-6) - 6/2. Is -1 smaller than t?
True
Let o = -7.07 + 0.07. Let u = o + 7. Let l = u + -4. Which is smaller: l or 1?
l
Let j = 0.22 + -0.02. Which is bigger: j or -3/7?
j
Suppose 0*q + q - 3 = j, 3*q = j + 3. Is 0 <= q?
True
Let m be ((-2)/(-4))/(1/2). Let b be ((-1)/4)/(23/35). Let v = 3/23 + b. Which is bigger: m or v?
m
Let s be (-3)/6 + 28/8. Suppose -a = -4*m + 2*a + 31, -s*m - 5*a = -16. Is -1/2 bigger than m?
False
Let s(z) = -z**3 - 7*z**2 - 6*z + 7. Let g be s(-6). Is 8 at least as big as g?
True
Suppose 0 = -3*h + 4*h - 3. Suppose i - 16 = -q, 0 = -2*q + h*i + 13 + 9. Let y = -41/3 + q. Which is smaller: 1 or y?
y
Let c = -0.2 - -1.2. Let w(k) = k**2 + 9*k + 9. Let y be w(-7). Which is bigger: c or y?
c
Let o = -25 + 29. Do -2/11 and o have the same value?
False
Let p = 4 - 1. Let d be 1 - -1*p*2. Suppose -d = -3*w - 4. Which is smaller: w or -2?
-2
Let g = -0.06 + -0.24. Let l = g - -1.3. Which is bigger: 6 or l?
6
Let q(r) = -r**2 - 4*r - 3. Let s be q(-3). Is -2/9 smaller than s?
True
Suppose 0*r + 5*r = 10. Let f be 2/7 + r/(-7). Which is smaller: f or -0.2?
-0.2
Let x(g) = -2*g - 13. Let m be x(-9). Suppose i + 0*i = -5*d + 2, m*i + 14 = -d. Is d not equal to -2/7?
True
Suppose -14 + 6 = 4*q. Let j = q + 2.
|
{
"pile_set_name": "DM Mathematics"
}
|
ve of -397165*o**2*w**2 + 2*o**2*w - o**2 + 39*o*w + 2*o - 21*w**2 + 565*w + 48 wrt w?
-794330*o**2 - 42
Find the second derivative of -1593060*l**2*m**2*z**2 + l**2*z**2 + 102*l*m*z**2 + 2*l*m + l*z + 18*m**2*z + 11*m**2 + 3*m*z**2 wrt l.
-3186120*m**2*z**2 + 2*z**2
Find the second derivative of 4653755*g**2 - 1390816*g.
9307510
Find the first derivative of -3*w**3 - w**2 - 113727*w + 32397558 wrt w.
-9*w**2 - 2*w - 113727
Find the second derivative of 75*l*r**3 + 9558*l*r + 176*l + 90*r**3 + 389*r**2 wrt r.
450*l*r + 540*r + 778
What is the derivative of -5844150*f - 4039046 wrt f?
-5844150
What is the third derivative of -39220793*i**3 + 31078274*i**2 wrt i?
-235324758
Find the third derivative of 7767*k**3*s*y + 297*k**3*s + 127664*k**2*s + k*s*y + s*y wrt k.
46602*s*y + 1782*s
What is the second derivative of -576*q**4 + 4*q**3 + 4*q**2 - 6361010*q wrt q?
-6912*q**2 + 24*q + 8
Find the second derivative of -5699*a**2*v**2*x + 7*a**2*v**2 + 88259*a**2*v - 11*a**2*x + 20*a**2 + 36*a*v**2 + 2*v*x wrt v.
-11398*a**2*x + 14*a**2 + 72*a
Differentiate -228769*n**3 - 21*n + 8432977 wrt n.
-686307*n**2 - 21
What is the second derivative of -l**4 - 87157*l**3 + 57*l**2 + 2*l + 15257487?
-12*l**2 - 522942*l + 114
Differentiate -11099948*d**2 - 2846624 with respect to d.
-22199896*d
What is the first derivative of 49*a*y*z + 6*a*y - a*z + 3350*a + 2233013*y*z + 2*z wrt a?
49*y*z + 6*y - z + 3350
Find the second derivative of -3*h**2*j**2 - 14278*h**2*j + 735*h**2 - 3*h*j**2 + 2*h*j + h + 38*j**2 - 60*j + 3 wrt h.
-6*j**2 - 28556*j + 1470
Find the third derivative of -74704*k**6*y - 67*k**3*y + k**2*y + k**2 - 9*k*y + 4*k + 16*y + 80 wrt k.
-8964480*k**3*y - 402*y
Find the second derivative of 8978*w**5 - 742*w**2 + 41849988*w - 2.
179560*w**3 - 1484
Find the second derivative of -4556270*k**3 + k**2 + k + 792462.
-27337620*k + 2
Differentiate 1076*n*q**2 - 1217*n*q - 733171*n - q**2 + 17*q + 206 with respect to q.
2152*n*q - 1217*n - 2*q + 17
What is the third derivative of 5*w**5 - 6*w**4 - 25599*w**3 + 54749*w**2 - 35*w wrt w?
300*w**2 - 144*w - 153594
Find the third derivative of -3*a**2*z**3 - 78*a**2*z**2 + 78*a*z**3 - 2657089*a*z**2 - 26693*z**3 wrt z.
-18*a**2 + 468*a - 160158
Find the second derivative of 8*g**5*t + 124*g**3*t + 436*g**2*t - 244*g*t - 7*g - 5846*t wrt g.
160*g**3*t + 744*g*t + 872*t
Find the second derivative of 2*i**2*r*y + 56463*i**2*r + 2*i**2*y - 26*i**2 - 88*i*r*y - 14*r*y - 396*r wrt i.
4*r*y + 112926*r + 4*y - 52
What is the second derivative of 8937274*z**2 - 16*z - 142850?
17874548
What is the second derivative of 3449684*i**3 - 16*i**2 - 341176*i + 3?
20698104*i - 32
Find the second derivative of 44*c**3 + 26338*c**2 + 11658382*c.
264*c + 52676
Find the first derivative of -1908*d*p**3 - 3727*d*p**2 - 2*d + 62139 wrt p.
-5724*d*p**2 - 7454*d*p
What is the first derivative of 20*k**2*s**3 + 272553*k**2 - 7*k + 1438780*s**4 - 31 wrt s?
60*k**2*s**2 + 5755120*s**3
Find the second derivative of 237667*p**2*w**2*y + 3*p**2*w - 82*p**2*y - 44438*p*y - 338*w**2*y wrt w.
475334*p**2*y - 676*y
What is the third derivative of -805*i**5 + 37*i**4 + 292*i**3 + 39246932*i**2 - 3?
-48300*i**2 + 888*i + 1752
Find the second derivative of -1213*n**3*x**3 - 185*n**3 - 16*n*x**3 + 840755*x**3 wrt n.
-7278*n*x**3 - 1110*n
Differentiate 41067004*h + 11785065 with respect to h.
41067004
What is the third derivative of -22768*j**3*m**2 - 20*j**3*o**3 - 2*j**2*m**2*o - 9877*j**2*m*o**3 + 13*j**2 wrt j?
-136608*m**2 - 120*o**3
What is the second derivative of -4*n**5 - 4690751*n**4 - 548596*n - 4?
-80*n**3 - 56289012*n**2
What is the derivative of 252017585*q**3*u - 9835211*q**3 + 3*q**2 wrt u?
252017585*q**3
What is the second derivative of -44707388*a**3 + 62014986*a wrt a?
-268244328*a
What is the second derivative of 400*p**4 + 23861*p**3*x**3 + p + 2860*x**3 + 1543 wrt p?
4800*p**2 + 143166*p*x**3
Find the third derivative of 109761440*s**4 + 160901475*s**2 wrt s.
2634274560*s
Find the second derivative of -5640*d**5 - 4*d**4 - 80*d**3 - 1921133*d.
-112800*d**3 - 48*d**2 - 480*d
Differentiate 18310574*c**3*u**2 - 4109250*u**2 wrt c.
54931722*c**2*u**2
Find the first derivative of -1151*b*k**2 - 680*b - 2*k**2 + 16*k - 8467 wrt k.
-2302*b*k - 4*k + 16
What is the third derivative of -79343051*b**3 - 41*b**2 + 33*b + 1557?
-476058306
What is the third derivative of 36*c**4*v + 73093*c**3*v + c**2 + 2*c*v + 57*v + 1065 wrt c?
864*c*v + 438558*v
Find the second derivative of 439953365*n**4 - 679745726*n wrt n.
5279440380*n**2
What is the second derivative of 15067637*j**3 + 3*j**2 - 12589254*j + 3?
90405822*j + 6
Find the third derivative of -163125*y**4 - 146*y**3 - 336484*y**2 - 29 wrt y.
-3915000*y - 876
What is the second derivative of 627550751*s**3*u**2 - 44*s*u**2 - 3*s*u - 6*s - 158*u**2 - 84 wrt s?
3765304506*s*u**2
Find the second derivative of 31607282*q**4 + 869*q - 19486 wrt q.
379287384*q**2
What is the third derivative of 42*p**5 + 5037*p**4 + 8067472*p**2 wrt p?
2520*p**2 + 120888*p
Find the third derivative of 1045581*a**3 + 6810475*a**2.
6273486
Find the second derivative of 23061682*l**2 - 108813*l - 104 wrt l.
46123364
What is the third derivative of 91610956*x**4 - 382*x**2 + 115190?
2198662944*x
Differentiate -25556*g**3*u + 9655*g**3 + 27*g**2*u - g*u - 203*g - 2 wrt u.
-25556*g**3 + 27*g**2 - g
Differentiate -45*h**3 + 41*h**2 - 391*h + 3224162.
-135*h**2 + 82*h - 391
What is the third derivative of 711382*n**3 - 460572*n**2 - 2*n wrt n?
4268292
Find the first derivative of -67*h**3*p**2 - 27223*h**3*p + 4653784*p**2 wrt h.
-201*h**2*p**2 - 81669*h**2*p
What is the third derivative of -78645436*v**5 + 57040285*v**2 - 1 wrt v?
-4718726160*v**2
What is the second derivative of -741772*i**3 - 60*i**2 + 1742258*i - 151?
-4450632*i - 120
What is the second derivative of -110*f**3*m*r*z**2 - 50729*f**3*m*r - 47*f**3*r*z + 2*f**3 + 18*m*r*z**2 + 2*m*r + 9*r*z**2 + 2*r*z wrt z?
-220*f**3*m*r + 36*m*r + 18*r
Find the second derivative of 448873171*t**2 - 109457*t + 1180 wrt t.
897746342
What is the second derivative of 2479*u**4 + 526*u**3 + 28390949*u + 2?
29748*u**2 + 3156*u
Differentiate v**3 - 1583*v**2 + 2033*v + 5931110 with respect to v.
3*v**2 - 3166*v + 2033
Find the second derivative of 282693011*a**2 - 212142081*a.
565386022
Find the second derivative of -539*a**5 - 1290*a**2*v - 28*a*v + 9*a + 29*v + 26 wrt a.
-10780*a**3 - 2580*v
What is the third derivative of -609*y**5 - 972*y**4 + 28*y**3 - 137656*y**2 + 32*y + 7?
-36540*y**2 - 23328*y + 168
What is the first derivative of -614218*b**2*s + 24636951*b**2 + 8*b*s wrt s?
-614218*b**2 + 8*b
Find the first derivative of 30*c*q**2 - 3*c*q - 11731732*c + 94*q**2 - 98*q wrt q.
60*c*q - 3*c + 188*q - 98
What is the first derivative of 2*j**4 + j**2 + 959688*j + 9983220?
8*j**3 + 2*j + 959688
What is the second derivative of -78613801*p**3 + 214914510*p?
-471682806*p
What is the derivative of 16651221*g**2 + 2*g - 5136171 wrt g?
33302442*g + 2
What is the derivative of -9301963*k - 32591251?
-9301963
Differentiate 17407101*u + 48705966 wrt u.
17407101
Find the second derivative of -32*a**3*p**3 - 240534*a**3 + a*p**3 - 9*a*p**2 - 105*a + p**2 - 1562*p wrt a.
-192*a*p**3 - 1443204*a
Find the third derivative of 677852*r**4 - 33*r**3 - 1054181987*r**2.
16268448*r - 198
Find the second derivative of h**4 - 2893*h**3 - h**2 + 392265*h + 1.
12*h**2 - 17358*h - 2
Find the first derivative of 20933386*c**2 + 112657118 wrt c.
41866772*c
What is the second derivative of -73883692*b**3 - 5325671*b?
-443302152*b
Find the third derivative of -35178091*l**3 + 33823309*l**2 wrt l.
-211068546
What is the second derivative of -611649724*u**3 + u**2 - 20*u - 1788785 wrt u?
-3669898344*u + 2
What is the second derivative of -15501733*f**3*x**2 + 49*f**3*x + 42*f**3 - f**2*x**2 - 3*f**2*x - f**2 - 2*f*x - 7*f wrt x?
-31003466*f**3 - 2*f**2
Find the third derivative of -10032729*x**5 + 211*x**2 + 8116*x wrt x.
-601963740*x**2
What is the third derivative of 100*c*f*h**3 + 2957*c*f*h**2 - 2569*c*h**2 + 2*c*h - 58850*h**3 wrt h?
600*c*f - 353100
Differentiate 404109*s**2 - 10*s + 492795 wrt s.
808218*s - 10
What is the third derivative of 608706*g*z**3 + 13*g + 15*z**3 + 34299*z**2 wr
|
{
"pile_set_name": "DM Mathematics"
}
|
b) -0.124 (c) 5/2 (d) 15
b
Which is the nearest to -2? (a) 0 (b) -4/37 (c) 4 (d) -1.323
d
Which is the closest to -2? (a) 0.15 (b) 1304 (c) -69
a
What is the nearest to 0.1 in 8, -5/11, -8, 16, -5?
-5/11
What is the nearest to -0.1 in -1/4, -223, -13655?
-1/4
Which is the closest to -0.1? (a) -9 (b) -0.4 (c) 0.5 (d) -85/73
b
What is the closest to -0.2 in 2/7, -5, 313, 0, -3/143, 2?
-3/143
What is the nearest to -0.1 in -0.2, 0.2, 8403/10, 15, -2, 7?
-0.2
Which is the nearest to -5? (a) -252 (b) -3 (c) -5 (d) -22
c
Which is the nearest to -2/3? (a) 0.4 (b) 439 (c) 54393
a
What is the closest to -3089/4 in 301, 0.1, 2?
0.1
Which is the nearest to 0.1? (a) 8 (b) 2 (c) 14 (d) -0.376 (e) 5
d
What is the closest to -1/2 in 71, 1, -3/7, 326/9, -0.07?
-3/7
Which is the closest to 0.2? (a) -1 (b) -0.6 (c) 0.0599968 (d) -2
c
What is the closest to 0.1 in -2/17, -1.9, 2/3, 6392?
-2/17
Which is the closest to -0.73? (a) -344 (b) -0.68 (c) 5 (d) -0.5
b
What is the closest to 1/2 in 897.825, 2/13, 0.5?
0.5
Which is the nearest to -2336? (a) -3 (b) -5 (c) -0.2 (d) -11
d
Which is the nearest to -2/21? (a) 89 (b) 3 (c) -1.1 (d) 9/8
c
What is the closest to 0.4 in -0.3, 3, -0.5, 2/153, 368?
2/153
What is the nearest to 1/4 in 1/40, 0.1, -0.11, 5, -184?
0.1
What is the nearest to -0.17 in -2, -29777, 2/3, -4/15?
-4/15
What is the closest to -291021.78 in -0.3, -2, -2/7?
-2
What is the closest to -0.1 in -3/304, -1, -12, -0.06, 2?
-0.06
Which is the nearest to 4/11? (a) 6 (b) 29 (c) 1245 (d) 2/13
d
What is the closest to 0.62 in 0, 2/279, -58?
2/279
Which is the closest to 0.2? (a) -2/1795 (b) -157 (c) 0.2 (d) 2/11 (e) -8/11 (f) 0.1
c
What is the closest to 85 in 2/17, 2, 8/25, -25/3, 1/6?
2
Which is the nearest to -0.1? (a) 3/73 (b) 1 (c) 0 (d) 637
c
What is the nearest to 1 in -4833.1, -1/10, -5?
-1/10
What is the closest to -12 in -413028, 4, -0.11?
-0.11
What is the nearest to 9 in 57, -3/2, -1, -386/7?
-1
Which is the closest to 50? (a) -3 (b) -2/5 (c) 1/6 (d) -0.2 (e) -2 (f) -4/2087
c
Which is the closest to -18? (a) 4 (b) -393 (c) 263
a
Which is the closest to -1/14? (a) -0.016 (b) -10 (c) 2 (d) -0.1 (e) 11
d
What is the nearest to 0 in 3, 110, -6/13?
-6/13
What is the nearest to 0.1 in -67569, 3, -0.01, -3, 1/2?
-0.01
Which is the nearest to 1/4? (a) -0.1 (b) -19/12 (c) -120 (d) -0.2 (e) -3 (f) 0
f
Which is the nearest to -0.1? (a) -2/7 (b) -2/15 (c) -11 (d) 17
b
What is the closest to 1/48 in 0.2, 10, 0.5, -4, 1.11?
0.2
What is the nearest to 18 in 2/11, -401, -792, -4?
2/11
What is the nearest to -3/25 in 70/9, -1/2, 1/6, -1?
1/6
Which is the closest to -1/56? (a) -13.97 (b) 0.1 (c) -5 (d) 4 (e) 2/11
b
What is the closest to 3 in 4, -2/9, 6, 29, -8068?
4
What is the closest to 0.02087 in 3, -1/8, 0, 1/8?
0
Which is the nearest to 17/4? (a) 0.2 (b) 2/23 (c) 1/18 (d) -5 (e) -2.91 (f) 1
f
What is the nearest to 5 in -1/5, -2/7, -0.3, -2/17, -2/6543, -3?
-2/6543
Which is the closest to -287? (a) 3/8 (b) -1 (c) -0.0448 (d) -5 (e) 1
d
What is the nearest to -2/7 in 14, -3, 267267?
-3
Which is the nearest to 254? (a) 71 (b) 3 (c) 7 (d) 1 (e) 2
a
What is the closest to 2 in 2, -20642, 0.5, -1, -1/7, -4?
2
Which is the closest to 2? (a) 0.011 (b) 2/5 (c) 214 (d) -3
b
What is the closest to -4/7 in -2/5, -9753, -0.3?
-2/5
Which is the nearest to -1? (a) 1/46 (b) 3/2 (c) 103841
a
Which is the closest to 0.2? (a) 16 (b) -2/3 (c) -16 (d) 2/11 (e) -11 (f) -0.2
d
Which is the closest to 5? (a) -0.02 (b) 9.5789 (c) 1
c
Which is the nearest to 0.162? (a) -24 (b) 2 (c) -345 (d) 0
d
Which is the closest to -0.3? (a) -2/17 (b) 5113 (c) -9 (d) -0.4
d
What is the nearest to 0 in 5794, -7, -12?
-7
Which is the nearest to -2/11? (a) -0.09 (b) 196 (c) 3/8 (d) -5.6 (e) -3
a
What is the nearest to -32/13 in 3, -2, 11/549?
-2
What is the closest to -0.18758 in 13/2, -2/13, -0.03, 4, 2/5?
-2/13
What is the closest to -3 in -1/3, -0.05, 4/3, 54, 14?
-1/3
Which is the closest to 285? (a) -3/2 (b) -34.606 (c) 5 (d) 4 (e) 1
c
Which is the nearest to 3? (a) 88/47 (b) 64 (c) -0.1 (d) 4 (e) 1/3
d
What is the nearest to -1 in 12.623, -0.4, 1/3?
-0.4
What is the nearest to 1826 in -0.3, -1/4, -0.025, -2, 0.1?
0.1
Which is the nearest to 0.1? (a) -8 (b) -1 (c) 20 (d) -0.947 (e) -0.5
e
What is the closest to 1.4 in 6, 2/29, -10, 5, 13/2?
2/29
What is the nearest to -514 in -4, 195, -2/11, 5, 2?
-4
Which is the closest to 1/161? (a) 0.1 (b) 24.9 (c) 2/3
a
What is the nearest to -0.1 in 117, 0.026, 1, 0, -0.06?
-0.06
Which is the closest to 0? (a) 1/460 (b) 5 (c) 3/7 (d) 0.07846
a
Which is the nearest to 1? (a) -0.5 (b) -422 (c) 570 (d) 10
a
What is the closest to -1/2 in 5882, -3/5, -1, -0.06, -0.2, 7?
-3/5
Which is the nearest to 0.32? (a) 1795/6 (b) 5 (c) -6 (d) 0.3
d
Which is the closest to 86? (a) -2/5 (b) -0.049 (c) -106 (d) -3 (e) -8
b
What is the nearest to -2/5 in 8, 2/5, -2, 1.908, 2/11?
2/11
What is the nearest to 0.1666 in 2/17, -202, 3/19?
3/19
Which is the closest to -1? (a) -54 (b) 1.7 (c) 4/9 (d) -3/11
d
Which is the nearest to -641? (a) 5 (b) -2/1189 (c) -21
c
What is the closest to -51622 in 5, -1/2, 2, -6, -0.4, -0.06?
-6
Which is the closest to 199? (a) 4 (b) -21 (c) 0.1 (d) 1/5 (e) 1
a
What is the closest to -0.1 in 1/2, -10985.77, 0?
0
Which is the closest to 132? (a) 1 (b) 0.4 (c) -28
a
Which is the nearest to 0.5? (a) -14 (b) 2/13 (c) 3 (d) 14 (e) -0.1
b
What is the closest to 0.1 in 0.6, 0.05, -2/3, -4, 41344?
0.05
What is the closest to 1/4 in 0.2, -715.428, -13?
0.2
Which is the closest to 2/3? (a) 5/2 (b) 26 (c) 1/6040 (d) 2/3
d
What is the nearest to 3 in -83, -5, -0.1, 41.7, -2?
-0.1
What is the closest to -15053 in 1/5, -2/5, 3, -19, 2?
-19
Which is the nearest to 0.20937? (a) -5 (b) 24/7 (c) 0.4
c
Which is the nearest to -6? (a) -2/15 (b) 0.8 (c) 57192
a
What is the nearest to 0.3 in 15, 5940, 1/5, 0?
1/5
Which is the closest to 1? (a) -52731 (b) 2/7 (c) 0.1 (d) -0.4
b
Which is the nearest to 1? (a) -0.4 (b) 4 (c) -0.0228 (d) 1.133
d
Which is the nearest to 1? (a) -9 (b) -11 (c) -8 (d) 1805
c
Which is the nearest to -5? (a) 309 (b) 62 (c) 2 (d) -111
c
What is the nearest to -0.5 in -300, 1/6, -5/2?
1/6
What is the closest to 0.7 in -3, -2/3, -1/5, 24, 0.2?
0.2
Which is the closest to -1/45? (a) 3 (b) -1/13 (c) 2/7 (d) 15 (e) 0.5
b
Which is the closest to -2/3? (a) 8.7 (b) -0.5 (c) 1/13 (d) -60 (e) -3
b
What is the nearest to -10/7 in 2/13, 5, 14/179, -4?
14/179
What is the nearest to -1 in 4, -23, -376/5, -2/7?
-2/7
What is the nearest to 1/4928 in 672, 2/3, -5/2, 1/8, 1?
1/8
Which is the nearest to -282.95? (a) -6 (b) 2 (c) -12
c
What is the closest to 0.4 in 1/95, 0.4, 187017?
0.4
Which is the closest to -2/325? (a) -0.09 (b) -78 (c) 4/9
a
Which is the nearest to -4? (a) 4/5 (b) 253 (c) -1 (d) -173
c
What is the nearest to 2 in -8, -3, 324781?
-3
What is the closest to 1/4 in 29, 3, -11, -1/8, -137/8?
-1/8
What is the closest to -2/3 in 2/59, -14, -0.5, -1/21, -3?
-0.5
Which is the nearest to -0.6? (a) 0.2 (b) -3/5 (c) -81 (d) -2 (e) 3 (f) -43
b
Which is the closest to -5237? (a) -3/5 (b) -2 (c) -3/2 (d) 0 (e) -16
e
Which is the nearest to -2? (a) 1 (b) 643 (c) -7 (d) -3 (e) 2
d
Which is the nearest to -19? (a) -0.3 (b) 186 (c) -23 (d) -5
c
Which is the closest to 527? (a) 5 (b) -132.3 (c) -0.2
a
Which is the nearest to -13? (a) 1/6 (b) -0.7 (c) -0.37 (d) -46.2 (e) 0.2
b
Which is the closest to -3/1517? (a) -1/37 (b) -13 (c) -6/13
a
Which is the closest to -3/2? (a) -1/2 (b) 36/10601 (c) -1/10
a
What is the closest to 0 in -12/5, -1, -165.249, -2/9?
-2/9
What is the nearest to 0 in -35, -1, -65, -3/2, -96?
-1
What is the closest to 8 in -0.1, -9, -8?
-0.1
What is the closest to 3/16 in -0.1, -46/19, -6/11, 5?
-0.1
Which is the closest to -2/145? (a) 6 (b) 20139 (c) -0.2
c
Which is the closest to -5/7? (a) 12403/98 (b) 2 (c) 3
b
What is the nearest to 26.6664 in -0.71, 2/3, -2?
2/3
Which is the closest to 2/7? (a) -255 (b) -178 (c) -12
c
What is the closest to -1 in 2/189, 32577, 1?
2/189
|
{
"pile_set_name": "DM Mathematics"
}
|
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