text stringlengths 270 8.19k | meta dict |
|---|---|
0?
1012
In base 13, what is 1 - 944?
-943
In base 11, what is -2 + -37?
-39
In base 14, what is a5 - 1b?
88
In base 13, what is -7 + 63?
59
In base 8, what is -403 + -52?
-455
In base 11, what is 221 + 4?
225
In base 15, what is -a8 + -9?
-b2
In base 10, what is -2 + 7?
5
In base 5, what is -10 + -13224?
-13234
In base 9, what is -35 - -64?
28
In base 11, what is -2 - 203?
-205
In base 13, what is 8 - 140?
-135
In base 9, what is -361 + 5?
-355
In base 9, what is -3 - 447?
-451
In base 12, what is -39 + -409?
-446
In base 11, what is 178 - 0?
178
In base 11, what is 5 + 29?
33
In base 7, what is -40 + 3016?
2646
In base 14, what is 70c0 + 2?
70c2
In base 12, what is 2 + 37?
39
In base 13, what is -1c - -18?
-4
In base 2, what is 101000100 - -11?
101000111
In base 6, what is -13021 + 2?
-13015
In base 14, what is -19 - -735?
71a
In base 15, what is -3 + -33?
-36
In base 2, what is 101 + 11100?
100001
In base 9, what is -115 - -38?
-66
In base 5, what is 1013 - 24?
434
In base 11, what is 19518 - 4?
19514
In base 14, what is -3 - 812?
-815
In base 12, what is 2b + -206?
-197
In base 4, what is 3 - 1312?
-1303
In base 13, what is 3 - 46?
-43
In base 12, what is 97a - 10?
96a
In base 11, what is 5499 - 4?
5495
In base 14, what is 4 - 82?
-7c
In base 5, what is 4 + -30?
-21
In base 14, what is -3 + 25b?
258
In base 13, what is 37c + 2?
381
In base 11, what is 3 + -174?
-171
In base 5, what is -4 - 232340?
-232344
In base 13, what is 25 - -59?
81
In base 2, what is 111 + -10110100?
-10101101
In base 7, what is -2013 - -1?
-2012
In base 10, what is -5 - 146?
-151
In base 13, what is 21b + 10?
22b
In base 15, what is 2e - 21?
d
In base 9, what is -485 + 3?
-482
In base 16, what is -11 + -b9?
-ca
In base 7, what is -125 + -5?
-133
In base 8, what is 26 + 12?
40
In base 14, what is 781 - 0?
781
In base 15, what is 82d + -2?
82b
In base 14, what is -5 + 4dc?
4d7
In base 11, what is -5 - -768?
763
In base 12, what is -332 + 4?
-32a
In base 14, what is 4 + 23d?
243
In base 10, what is -165 - 1?
-166
In base 9, what is 3 - 251?
-247
In base 3, what is -1001212 - -1?
-1001211
In base 7, what is -23423 - 4?
-23430
In base 13, what is -4 - -13a3?
139c
In base 13, what is 9 + -84?
-78
In base 3, what is 2 + 1121?
1200
In base 14, what is 8a + -5?
85
In base 8, what is 143 + 244?
407
In base 11, what is -3042 - 2?
-3044
In base 15, what is 3 + 4c4?
4c7
In base 9, what is -2725 - 7?
-2733
In base 13, what is 10aa + -2?
10a8
In base 13, what is -56 - 3?
-59
In base 5, what is 1343 - -4?
1402
In base 4, what is 21131 - -10?
21201
In base 9, what is -188 + -28?
-227
In base 3, what is 1100101 - 2?
1100022
In base 5, what is 441 - -433?
1424
In base 16, what is 0 - 17?
-17
In base 7, what is 4 + 124?
131
In base 14, what is -5 - 10?
-15
In base 15, what is -7 + -25?
-2c
In base 4, what is -200 + 3223?
3023
In base 13, what is 3ca - -48?
445
In base 12, what is 12 - 16?
-4
In base 16, what is ed - 4?
e9
In base 16, what is -bf + 5?
-ba
In base 14, what is 3 - -863?
866
In base 15, what is -140 + 6?
-139
In base 15, what is 0 + -c9?
-c9
In base 15, what is -6 + a7?
a1
In base 9, what is 0 - 726?
-726
In base 9, what is 1580 - -4?
1584
In base 6, what is 3405 - -32?
3441
In base 4, what is -2 - -1223013?
1223011
In base 6, what is -42 + -52?
-134
In base 2, what is 10000 + 11100010000?
11100100000
In base 7, what is -5 + 63?
55
In base 7, what is -3 + -20506?
-20512
In base 6, what is -1 + 202?
201
In base 4, what is 22 + 201?
223
In base 12, what is 111 + 5?
116
In base 9, what is -205 + 6?
-188
In base 10, what is -2 + 419?
417
In base 2, what is -11 + -100000111?
-100001010
In base 13, what is 4 + 205?
209
In base 5, what is 1 + -2341?
-2340
In base 3, what is -1102 - -20?
-1012
In base 7, what is 243 + -4?
236
In base 5, what is 10 + -114?
-104
In base 14, what is 1c + 7?
25
In base 10, what is -2219 - 3?
-2222
In base 4, what is -10 - -123?
113
In base 11, what is 583 - -1?
584
In base 11, what is -2 - 3618?
-361a
In base 15, what is 0 + 4c?
4c
In base 16, what is -22 - -4?
-1e
In base 4, what is 122122 - 0?
122122
In base 10, what is -10 - 0?
-10
In base 4, what is 0 + -1013310?
-1013310
In base 16, what is c - -217?
223
In base 3, what is 2122 - -1?
2200
In base 12, what is -12 - -20b?
1b9
In base 5, what is -1203 + -210?
-1413
In base 10, what is -394 + 6?
-388
In base 10, what is 4 + 111?
115
In base 12, what is 2520 - 5?
2517
In base 4, what is 30123 - 11?
30112
In base 4, what is -10 + 201102?
201032
In base 5, what is -40 + -4?
-44
In base 2, what is -100 + -101000?
-101100
In base 14, what is 10 - -b?
1b
In base 9, what is 51 + -157?
-106
In base 2, what is 1001 + 11010101?
11011110
In base 12, what is 16 - -33b?
355
In base 12, what is 14 - 140?
-128
In base 6, what is 12 - 11550?
-11534
In base 10, what is -81 - -5?
-76
In base 2, what is -110101011 - 11?
-110101110
In base 6, what is -33 - -13?
-20
In base 9, what is 1581 + -4?
1576
In base 5, what is -22 + -4?
-31
In base 10, what is 7 + -3?
4
In base 15, what is -4 + 3e3?
3de
In base 9, what is 67 - -2?
70
In base 5, what is -4 - -102023?
102014
In base 16, what is -2 - -b3?
b1
In base 16, what is -12 + 1?
-11
In base 5, what is -43214 - -4?
-43210
In base 4, what is -1200 + -1?
-1201
In base 12, what is 3 - 48?
-45
In base 10, what is 2 + 68?
70
In base 12, what is -10 + 2?
-a
In base 6, what is 2 + -141?
-135
In base 5, what is -2 + 102?
100
In base 5, what is -231 - -30?
-201
In base 16, what is -2d1 + 5?
-2cc
In base 3, what is -12 - -1022?
1010
In base 13, what is -37 + -6?
-40
In base 12, what is -ab - 0?
-ab
In base 6, what is 4 + -1110?
-1102
In base 8, what is -4 - 120?
-124
In base 3, what is 110 + 121022?
121202
In base 15, what is 8b - -4?
90
In base 3, what is -21 + -1220002?
-1220100
In base 12, what is 2 + 23?
25
In base 6, what is 4 + 53?
101
In base 6, what is 1303 + 3?
1310
In base 13, what is -200 + -c?
-20c
In base 6, what is 0 - -1102?
1102
In base 7, what is -133 - 2?
-135
In base 8, what is 16 + -20?
-2
In base 12, what is -2b + -110?
-13b
In base 14, what is -1 + 879?
878
In base 16, what is 2be - 7?
2b7
In base 14, what is 7 - 3b?
-34
In base 7, what is -23 - 560?
-613
In base 15, what is -2 + -21ba?
-21bc
In base 8, what is -2 - -7732?
7730
In base 2, what is 11001001 + 110?
11001111
In base 14, what is -8 + 163?
159
In base 10, what is -18 + 128?
110
In base 10, what is 0 - -43?
43
In base 7, what is 23146 + 3?
23152
In base 2, what is 10000001001 - 10111?
1111110010
In base 15, what is -3 + 6e?
6b
In base 2, what is -110 - 111110?
-1000100
In base 10, what is 679 - 11?
668
In base 6, what is -11550 + -3?
-11553
In base 4, what is -11 - 3203?
-3220
In base 10, what is 78 + -4?
74
In base 14, what is 339 - 5?
334
In base 14, what is -5 + -2c?
-33
In base 3, what is -10 - 20210?
-20220
In base 10, what is 62 + 172?
234
In base 15, what is -e - 1e?
-2d
In base 4, what is -333 + -3?
-1002
In base 4, what is -10 + -12122?
-12132
In base 12, what is -1a6 - 0?
-1a6
In base 2, what is 101000 + 1001001110?
1001110110
In base 9, what is 4 - 716?
-712
In base 16, what is -dc - 4?
-e0
In base 12, what is -219b - 4?
-21a3
In base 8, what is -572 + -3?
-575
In base 16, what is -2c + -1b?
-47
In base 16, what is -9d - -1?
-9c
In base 4, what is 10332 - -313?
11311
In base 12, what is -5 + 39b?
396
In base 6, what is 3531 + 2?
3533
In base 6, what is -1111 + 31?
-1040
In base 14, what is 5 - a?
-5
In base 13, what is -244 - 0?
-244
In base 16, what is -41d - 1b?
-438
In base 2, what is 10010 + 0?
10010
In base 16, what is 27 + 2?
29
In base 15, what is -197 + 3?
-194
In base 4, what is -122 - -13120?
12332
In base 4, what is 12 - 21331?
-21313
In base 13, what is 4 - -36?
3a
In base 10, what is -6 - -49?
43
In base 15, what is 2 + -4e?
-4c
In base 15, what is -e3 - -c?
-d6
In base 4, what is -3 + 2020?
2011
In base 13, what is 5c65 + -3?
5c62
In base 13, what is -4 - -41?
3a
In base 7, what is 15 - 56?
-41
In base 16, what is 5 - -4f5?
4fa
In base 14, what is 17 - 53?
-3a
In base 8, what is -5 + -576?
-603
In base 7, what is 5 + -3453?
-3445
In base 15, what is -21c - -2?
-21a
In base 16, what is 66 - -2?
68
In base 4, what is -1311 - 1101?
-3012
In base 11, what is 3a - -3?
42
In base | {
"pile_set_name": "DM Mathematics"
} |
e?
True
Is 110403193 prime?
False
Is 211516243879 composite?
False
Is 148066809437 prime?
True
Is 821840387 a composite number?
True
Is 909935333 composite?
False
Is 82254791 a prime number?
False
Is 80386311559 composite?
False
Is 1245298157 a composite number?
True
Is 2371653181 a composite number?
True
Is 4163315179 a composite number?
True
Is 24802327153 composite?
True
Is 1678562029 composite?
True
Is 178870147 a prime number?
False
Is 40260265961 a prime number?
True
Is 37553559803 a composite number?
True
Is 434394989 prime?
False
Is 5125396909 composite?
False
Is 188364215731 composite?
False
Is 12640488317 prime?
True
Is 6176457851 a composite number?
True
Is 231130733 a composite number?
False
Is 1354468099 a prime number?
True
Is 6640585421 a composite number?
False
Is 2492906939 a composite number?
True
Is 1297010809 a prime number?
True
Is 7338840787 a prime number?
True
Is 92236039174 a composite number?
True
Is 756557519 a composite number?
False
Is 58354767589 a prime number?
True
Is 23053406891 composite?
True
Is 3578241543 prime?
False
Is 567953683 prime?
False
Is 9728814523 prime?
True
Is 11443933813 composite?
True
Is 1180938233 composite?
True
Is 3110681326 a prime number?
False
Is 1022357069 a prime number?
False
Is 31292943373 a prime number?
True
Is 17448096773 a composite number?
False
Is 3646352135 a prime number?
False
Is 49357961573 a composite number?
False
Is 1407389131 composite?
False
Is 25894733 a prime number?
True
Is 19486506137 a prime number?
False
Is 84841487243 prime?
True
Is 73965827227 a prime number?
False
Is 6977070497 composite?
False
Is 2384126497 a composite number?
False
Is 441549851 a prime number?
True
Is 801255349 prime?
True
Is 15490627007 a composite number?
True
Is 12318976427 composite?
False
Is 40748252507 composite?
False
Is 997471757 a prime number?
False
Is 1781342111 prime?
False
Is 104133607 a composite number?
True
Is 470721985 composite?
True
Is 2003660221 composite?
False
Is 3088251017 a composite number?
False
Is 2723772587 composite?
False
Is 1090325303 a composite number?
False
Is 1126304293 a prime number?
False
Is 9920832067 prime?
True
Is 482707573 a composite number?
False
Is 7563415439 composite?
False
Is 23794995271 composite?
False
Is 741118661 a prime number?
False
Is 76304941 composite?
False
Is 335043800659 prime?
False
Is 1168411901 a prime number?
True
Is 124052951443 a prime number?
False
Is 894715823 a composite number?
False
Is 1511712473 a prime number?
False
Is 407161033 composite?
True
Is 740520377 a composite number?
False
Is 644792737 a composite number?
True
Is 87048375761 a composite number?
False
Is 106623353567 prime?
True
Is 1864954163 composite?
False
Is 765823129 a composite number?
True
Is 4918288373 a prime number?
False
Is 6630140303 composite?
False
Is 4394561 composite?
False
Is 169606511 a composite number?
False
Is 60689008789 prime?
False
Is 750268243 a composite number?
False
Is 16529207381 prime?
False
Is 2529232393 composite?
True
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False
Is 10254989579 prime?
False
Is 24445191367 a composite number?
False
Is 15464180807 a composite number?
True
Is 3702286997 a composite number?
True
Is 4371843181 a prime number?
False
Is 36778925819 a composite number?
True
Is 1468404317 a prime number?
True
Is 89330814401 prime?
True
Is 95330287 composite?
True
Is 93936545 a composite number?
True
Is 12263315419 a composite number?
False
Is 159009133 composite?
True
Is 919679423 prime?
False
Is 221005053817 a composite number?
False
Is 32489560163 prime?
True
Is 72442421 composite?
True
Is 986453189 composite?
True
Is 281381131 prime?
False
Is 851192143 a composite number?
False
Is 2636843861 a composite number?
False
Is 31088297371 a composite number?
False
Is 79750440541 a composite number?
False
Is 1385081746 prime?
False
Is 1416099679 composite?
False
Is 13406120503 prime?
True
Is 31745737 prime?
False
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False
Is 2981502817 prime?
False
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False
Is 2201797319 prime?
False
Is 2460256321 prime?
True
Is 1003402243 a prime number?
True
Is 59411249 composite?
False
Is 2552335771 a prime number?
True
Is 8557255543 a prime number?
True
Is 31922985901 a prime number?
True
Is 1589722181 a composite number?
False
Is 25286513423 a composite number?
False
Is 1884157783 a composite number?
True
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False
Is 571300012447 a composite number?
False
Is 209472887821 a prime number?
True
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False
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False
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False
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False
Is 2930676806 composite?
True
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False
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True
Is 786134617 a prime number?
True
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False
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True
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False
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False
Is 29074730309 prime?
True
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True
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False
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False
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True
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False
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True
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False
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False
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True
Is 12805136297 a prime number?
False
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False
Is 1264075163 a prime number?
False
Is 10637577131 a prime number?
True
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False
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False
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False
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False
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True
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True
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False
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False
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True
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False
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True
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True
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False
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False
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True
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False
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False
Is 75188960207 prime?
True
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True
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True
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True
Is 1369581133 a prime number?
True
Is 4365891469 prime?
True
Is 29538313253 a prime number?
True
Is 14143233437 a composite number?
False
Is 146278348351 a prime number?
True
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False
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False
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True
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False
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True
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True
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True
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True
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False
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True
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False
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False
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False
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True
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False
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True
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True
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False
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False
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False
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False
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True
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True
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False
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False
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False
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False
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True
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False
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False
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True
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False
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False
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False
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False
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True
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False
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False
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True
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False
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False
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True
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False
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False
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True
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True
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False
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False
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False
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False
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False
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True
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True
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False
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False
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True
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False
Is 99526235 a composite number?
True
Is 3850354097 a composite number?
False
Is 673818949 com | {
"pile_set_name": "DM Mathematics"
} |
e
Is 12197 composite?
False
Is 20714 a composite number?
True
Is 16495 a composite number?
True
Is 669 a prime number?
False
Is 907771 a composite number?
True
Is 60617 a composite number?
False
Is 115201 a prime number?
True
Is 59351 composite?
False
Is 4717 prime?
False
Is 59609 a prime number?
False
Is 92458 prime?
False
Is 469069 a prime number?
True
Is 381 a prime number?
False
Is 463871 composite?
True
Is 25301 a composite number?
False
Is 20959 a prime number?
True
Is 34399 a composite number?
True
Is 425779 composite?
False
Is 1303199 composite?
False
Is 26099 prime?
True
Is 116741 prime?
True
Is 18787 composite?
False
Is 29663 prime?
True
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False
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False
Is 2860259 composite?
False
Is 56941 composite?
False
Is 48869 a prime number?
True
Is 3095 prime?
False
Is 2579 composite?
False
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False
Is 215723 prime?
True
Is 23869 composite?
False
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False
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True
Is 1373221 prime?
False
Is 10639 composite?
False
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False
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False
Is 42863 a prime number?
True
Is 465659 a composite number?
False
Is 71761 a prime number?
True
Is 29157 prime?
False
Is 175103 prime?
True
Is 14503 a prime number?
True
Is 3748414 composite?
True
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False
Is 17513 prime?
False
Is 285443 a composite number?
True
Is 1638869 a composite number?
False
Is 3527 prime?
True
Is 177511 a composite number?
False
Is 343913 composite?
False
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False
Is 7607 composite?
False
Is 309769 composite?
False
Is 477947 a prime number?
True
Is 170467 composite?
True
Is 1337 a composite number?
True
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False
Is 351707 composite?
False
Is 105601 prime?
True
Is 597451 a composite number?
False
Is 12953 a prime number?
True
Is 1511 prime?
True
Is 330901 a composite number?
True
Is 11273 a prime number?
True
Is 472273 composite?
False
Is 2554807 a composite number?
False
Is 751 composite?
False
Is 27374 prime?
False
Is 27211 a composite number?
False
Is 7513 composite?
True
Is 39703 a prime number?
True
Is 66455 prime?
False
Is 48073 a composite number?
False
Is 6599 prime?
True
Is 56063 composite?
True
Is 669577 a composite number?
False
Is 3371 prime?
True
Is 6701 a prime number?
True
Is 61521 composite?
True
Is 558169 composite?
True
Is 9803 a prime number?
True
Is 68947 composite?
False
Is 11957 prime?
False
Is 26149 a prime number?
False
Is 119783 composite?
False
Is 214631 composite?
False
Is 7817 prime?
True
Is 34415 prime?
False
Is 73417 composite?
False
Is 794327 prime?
True
Is 2099 a prime number?
True
Is 274 a composite number?
True
Is 93809 a composite number?
False
Is 869017 prime?
True
Is 134267 a prime number?
False
Is 3103 composite?
True
Is 388051 a prime number?
True
Is 183281 prime?
False
Is 35141 prime?
True
Is 15421 composite?
True
Is 49409 composite?
False
Is 2609 prime?
True
Is 4489 prime?
False
Is 6029 a prime number?
True
Is 8803 prime?
True
Is 5077 a composite number?
False
Is 740573 a composite number?
True
Is 62513 prime?
False
Is 88318 a prime number?
False
Is 3239 a prime number?
False
Is 43009 composite?
True
Is 53195 a prime number?
False
Is 3389 a prime number?
True
Is 231139 prime?
False
Is 3181 prime?
True
Is 4107877 prime?
True
Is 59507 a prime number?
False
Is 38113 a prime number?
True
Is 36247 composite?
True
Is 477197 a prime number?
False
Is 34829 composite?
True
Is 6407 prime?
False
Is 81799 a composite number?
False
Is 81667 a prime number?
True
Is 1990787 prime?
True
Is 2319 composite?
True
Is 1511633 prime?
True
Is 129707 composite?
False
Is 6478231 prime?
False
Is 164471 prime?
True
Is 52435 a prime number?
False
Is 953291 prime?
False
Is 254063 composite?
True
Is 20663 composite?
False
Is 46199 a composite number?
False
Is 7737 a composite number?
True
Is 198743 a composite number?
True
Is 23603 prime?
True
Is 15107 prime?
True
Is 7433 a composite number?
False
Is 9397 composite?
False
Is 5349 a composite number?
True
Is 6599 composite?
False
Is 173335 composite?
True
Is 82549 composite?
False
Is 6541 composite?
True
Is 7393 prime?
True
Is 114527 a prime number?
False
Is 226601 a composite number?
False
Is 26591 prime?
True
Is 33395 a prime number?
False
Is 394523 a composite number?
False
Is 276707 prime?
True
Is 4547 a composite number?
False
Is 424443 prime?
False
Is 131041 composite?
False
Is 801809 prime?
True
Is 18091 composite?
True
Is 142469 prime?
True
Is 56431 composite?
False
Is 1127135 a prime number?
False
Is 1478935 a composite number?
True
Is 1439 prime?
True
Is 563543 a composite number?
False
Is 201397 composite?
True
Is 3037 prime?
True
Is 146567 a composite number?
True
Is 148073 prime?
True
Is 11519 a composite number?
False
Is 139481 composite?
True
Is 3109 prime?
True
Is 6803 a prime number?
True
Is 7949 a composite number?
False
Is 705613 a composite number?
False
Is 14953 composite?
True
Is 267259 a prime number?
True
Is 50581 a composite number?
False
Is 548561 a prime number?
False
Is 89 a composite number?
False
Is 61781 prime?
True
Is 675965 prime?
False
Is 2777 prime?
True
Is 9791 prime?
True
Is 439 composite?
False
Is 19961 prime?
True
Is 1137067 a composite number?
False
Is 7229 prime?
True
Is 1327 composite?
False
Is 10589 composite?
False
Is 28439 a prime number?
True
Is 147097 composite?
False
Is 48299 a composite number?
False
Is 554 a prime number?
False
Is 1040597 composite?
False
Is 714881 a prime number?
True
Is 363589 a prime number?
True
Is 401123 prime?
False
Is 22031 a prime number?
True
Is 734249 prime?
False
Is 8887 prime?
True
Is 22642 composite?
True
Is 1129627 prime?
False
Is 28745 composite?
True
Is 21929 prime?
True
Is 51751 a composite number?
True
Is 78151 a composite number?
True
Is 3937 composite?
True
Is 7039 a composite number?
False
Is 10085 a prime number?
False
Is 50671 a prime number?
True
Is 24051 a prime number?
False
Is 10669 a prime number?
False
Is 42641 prime?
True
Is 275763 prime?
False
Is 13411 prime?
True
Is 110491 prime?
True
Is 245515 a composite number?
True
Is 1198 a composite number?
True
Is 60821 composite?
False
Is 25523 a composite number?
False
Is 14141 a prime number?
False
Is 464209 a prime number?
False
Is 3877 a composite number?
False
Is 4421 a prime number?
True
Is 8369 prime?
True
Is 881851 a composite number?
True
Is 76757 composite?
False
Is 20239 prime?
False
Is 9901 a prime number?
True
Is 628469 a composite number?
True
Is 225341 a prime number?
True
Is 14983 prime?
True
Is 33527 a prime number?
False
Is 275479 a composite number?
True
Is 1791929 composite?
True
Is 18299 composite?
True
Is 45439 a prime number?
True
Is 14519 a composite number?
False
Is 282845 a composite number?
True
Is 442487 a prime number?
True
Is 74567 a composite number?
False
Is 345351 prime?
False
Is 88397 prime?
True
Is 23663 composite?
False
Is 2453 a prime number?
False
Is 9127 a composite number?
False
Is 1543 prime?
True
Is 19757 prime?
False
Is 35023 prime?
True
Is 31793 composite?
False
Is 100839 composite?
True
Is 3882389 a prime number?
False
Is 473 composite?
True
Is 139 a composite number?
False
Is 1319 a composite number?
False
Is 4661 prime?
False
Is 110419 a composite number?
False
Is 5077 a prime number?
True
Is 5347 prime?
True
Is 1160191 prime?
False
Is 191741 a prime number?
False
Is 202093 composite?
True
Is 9357 a prime number?
False
Is 867203 composite?
False
Is 276739 a prime number?
True
Is 240365 prime?
False
Is 13058 prime?
False
Is 124591 a prime number?
False
Is 15031 a prime number?
True
Is 37463 a prime number?
True
Is 23957 composite?
False
Is 3787 a prime number?
False
Is 42587 prime?
False
Is 1799 prime?
False
Is 3883 composite?
True
Is 1457 prime?
False
Is 4353 a composite number?
True
Is 208009 prime?
True
Is 98869 a prime number?
True
Is 142673 prime?
True
Is 52807 prime?
True
Is 28501 composite?
True
Is 102967 a prime number?
True
Is 206589 prime?
False
Is 10579 prime?
False
Is 178067 a composite number?
False
Is 48239 composite?
False
Is 526091 a prime number?
False
Is 114313 a prime number?
False
Is 27457 composite?
False
Is 28169 a prime number?
False
Is 19697 a composite number?
False
Is 122071 a prime number?
False
Is 1128745 a prime numbe | {
"pile_set_name": "DM Mathematics"
} |
eplacement from zdpuhuhphzhpphm.
8/273
Four letters picked without replacement from {f: 2, r: 15, i: 3}. Give prob of picking 2 i and 2 f.
1/1615
Calculate prob of picking 3 z when three letters picked without replacement from {z: 5, d: 2}.
2/7
Two letters picked without replacement from cicgigijiigcggiigii. Give prob of picking 2 c.
1/57
What is prob of picking 3 k and 1 g when four letters picked without replacement from kinkkkznkkkkwgk?
4/65
Two letters picked without replacement from yddddddddddydddyydd. What is prob of picking 2 y?
2/57
What is prob of picking 1 j and 3 b when four letters picked without replacement from bjbb?
1
Three letters picked without replacement from essssteteet. What is prob of picking 2 s and 1 e?
8/55
Two letters picked without replacement from fmxxmxxfff. What is prob of picking 2 m?
1/45
Calculate prob of picking 2 h and 1 q when three letters picked without replacement from {p: 1, o: 1, q: 3, h: 2}.
3/35
Three letters picked without replacement from {a: 2, u: 1, g: 1, t: 1, n: 1, i: 1}. What is prob of picking 1 i, 1 n, and 1 u?
1/35
What is prob of picking 2 h and 1 r when three letters picked without replacement from hrchcscrhrrrrc?
9/182
Calculate prob of picking 2 k and 2 i when four letters picked without replacement from kyimj.
0
Four letters picked without replacement from zzdzzzzdz. What is prob of picking 4 z?
5/18
Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {s: 14, r: 1}.
2/15
Three letters picked without replacement from {f: 4}. Give prob of picking 3 f.
1
Four letters picked without replacement from sgcksogckgscgoggogs. What is prob of picking 1 s, 1 k, 1 g, and 1 c?
14/323
Four letters picked without replacement from liigrg. Give prob of picking 1 l, 2 i, and 1 g.
2/15
Two letters picked without replacement from {r: 2, m: 5, c: 5}. What is prob of picking 2 c?
5/33
What is prob of picking 1 g and 1 y when two letters picked without replacement from {k: 6, y: 2, g: 9}?
9/68
What is prob of picking 2 m when two letters picked without replacement from {m: 5, n: 4, t: 1, l: 5}?
2/21
Calculate prob of picking 1 n, 1 o, and 1 x when three letters picked without replacement from xoxnn.
2/5
What is prob of picking 2 e, 1 n, and 1 l when four letters picked without replacement from uuuueutuetnlt?
1/715
Two letters picked without replacement from {p: 6, z: 1, v: 2, u: 4}. What is prob of picking 1 p and 1 z?
1/13
Four letters picked without replacement from abbammammbam. What is prob of picking 4 m?
1/99
Calculate prob of picking 1 x, 1 c, 1 l, and 1 n when four letters picked without replacement from gyygycnxggggl.
1/715
Two letters picked without replacement from {n: 12, q: 6}. Give prob of picking 2 q.
5/51
What is prob of picking 2 a when two letters picked without replacement from daaadmda?
3/14
Calculate prob of picking 1 t and 3 j when four letters picked without replacement from {t: 2, j: 3, b: 4}.
1/63
Three letters picked without replacement from ittoettttitstze. Give prob of picking 1 s, 1 e, and 1 z.
2/455
Two letters picked without replacement from {y: 6, l: 7, h: 6, r: 1}. What is prob of picking 1 l and 1 h?
21/95
Calculate prob of picking 1 d and 2 j when three letters picked without replacement from {d: 2, c: 8, j: 2}.
1/110
Two letters picked without replacement from qbbqmmbiqibbqfbib. What is prob of picking 1 f and 1 m?
1/68
Calculate prob of picking 2 i and 1 q when three letters picked without replacement from wvwnvqwiwwwvwwwwvwi.
1/969
Calculate prob of picking 4 r when four letters picked without replacement from {q: 2, r: 4}.
1/15
Two letters picked without replacement from ffvvvmfcvvvvmvcvvcmv. What is prob of picking 2 c?
3/190
What is prob of picking 2 k and 1 h when three letters picked without replacement from fkqkddhuh?
1/42
Three letters picked without replacement from {t: 7, p: 9, r: 2, m: 1, w: 1}. Give prob of picking 1 r, 1 m, and 1 t.
7/570
What is prob of picking 2 e, 1 p, and 1 u when four letters picked without replacement from upetupeuu?
4/63
Three letters picked without replacement from ckteksckktse. Give prob of picking 1 e, 1 c, and 1 k.
4/55
Two letters picked without replacement from qsqsqsqsqsqqqqqq. What is prob of picking 1 s and 1 q?
11/24
Calculate prob of picking 1 q and 1 t when two letters picked without replacement from {z: 2, q: 1, t: 1}.
1/6
Three letters picked without replacement from {n: 2, f: 3, d: 1, k: 6, o: 1}. Give prob of picking 1 k and 2 f.
9/143
What is prob of picking 1 w and 1 n when two letters picked without replacement from {o: 5, w: 7, n: 3, e: 1}?
7/40
Three letters picked without replacement from {c: 4, f: 11, u: 1, i: 1, p: 1, x: 1}. Give prob of picking 1 f, 1 u, and 1 c.
44/969
What is prob of picking 1 u and 2 m when three letters picked without replacement from {u: 9, m: 3, e: 2, k: 2}?
27/560
Four letters picked without replacement from {g: 2, c: 1, i: 2, w: 1, x: 1, r: 2}. Give prob of picking 2 i and 2 r.
1/126
Calculate prob of picking 1 u and 1 r when two letters picked without replacement from {q: 1, u: 2, k: 1, v: 5, i: 1, r: 5}.
2/21
What is prob of picking 3 l and 1 m when four letters picked without replacement from {l: 3, n: 1, a: 7, m: 1}?
1/495
Two letters picked without replacement from {q: 4, k: 1, r: 3, l: 2}. Give prob of picking 2 q.
2/15
Three letters picked without replacement from {i: 4, t: 3, p: 1, d: 2, x: 2, f: 2}. What is prob of picking 1 d, 1 x, and 1 i?
4/91
Three letters picked without replacement from yqqqy. What is prob of picking 1 q and 2 y?
3/10
What is prob of picking 2 h when two letters picked without replacement from whfvcffhfwzc?
1/66
Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {p: 1, a: 1, k: 1, v: 1, g: 1}.
1/10
Two letters picked without replacement from euuwueuihwwh. Give prob of picking 1 h and 1 e.
2/33
Three letters picked without replacement from ppopooopopoom. Give prob of picking 1 m and 2 p.
5/143
Two letters picked without replacement from {i: 2, r: 1, n: 4, u: 1, d: 5, y: 2}. What is prob of picking 1 i and 1 r?
2/105
Calculate prob of picking 2 s when two letters picked without replacement from svjjieqsv.
1/36
Calculate prob of picking 1 i, 1 t, and 1 q when three letters picked without replacement from ixqxhhtgq.
1/42
Two letters picked without replacement from ryyy. Give prob of picking 1 r and 1 y.
1/2
Two letters picked without replacement from {y: 2, s: 2, l: 4}. Give prob of picking 1 y and 1 l.
2/7
Four letters picked without replacement from hzmmmmhhhzzm. What is prob of picking 1 m and 3 h?
4/99
Calculate prob of picking 3 h and 1 x when four letters picked without replacement from vhxxxvxxvxvxhhxxvvh.
3/323
Two letters picked without replacement from kkiiikkkkkkkkkkk. What is prob of picking 1 k and 1 i?
13/40
What is prob of picking 1 r and 2 d when three letters picked without replacement from drwrrdwrrrrwrrdrrdw?
22/323
Three letters picked without replacement from {s: 5, c: 1, p: 1, k: 5}. Give prob of picking 2 s and 1 p.
1/22
Four letters picked without replacement from zpqezhphpzh. Give prob of picking 1 h, 2 p, and 1 e.
3/110
Four letters picked without replacement from eebvbevb. Give prob of picking 1 e and 3 b.
3/70
Calculate prob of picking 2 u and 2 h when four letters picked without replacement from {h: 2, c: 4, j: 3, y: 3, u: 4}.
3/910
What is prob of picking 1 y and 1 r when two letters picked without replacement from {y: 4, x: 8, r: 4}?
2/15
Two letters picked without replacement from cjzyymyy. Give prob of picking 1 m and 1 y.
1/7
What is prob of picking 1 u and 1 p when two letters picked without replacement from ypyyyuyyyyyyyy?
1/91
What is prob of picking 1 y and 1 a when two letters picked without replacement from {y: 2, u: 2, a: 1}?
1/5
What is prob of picking 2 j when two letters picked without replacement from {j: 4, o: 3}?
2/7
Three letters picked without replacement from aaawwa. What is prob of picking 1 w and 2 a?
3/5
Two letters picked without replacement from jjbciinccccyjjnj. Give prob of picking 1 i and 1 c.
1/12
Two letters picked without replacement from hssssmshsssm. Give prob of picking 1 s and 1 h.
8/33
What is prob of picking 1 l and 2 e | {
"pile_set_name": "DM Mathematics"
} |
5. Let y(f) = f + 1. Calculate q*t(r) + 3*y(r).
r + 2
Let y = -22 + 24. Let m(u) = 5*u + 26. Let n(f) = -f - 5. Give y*m(o) + 11*n(o).
-o - 3
Let y(i) = -i**3 - 2*i - 11. Let r(l) = l**3 + l + 12. Let a(u) = 5*r(u) + 6*y(u). Let x(q) = 4*q**3 - 6*q**3 - 4*q - 14 + 1 - 11*q. Give 13*a(p) - 6*x(p).
-p**3 - p
Let g(q) = -q. Let i(j) be the first derivative of -j**4/12 - j**3/2 - 5*j - 1. Let l(w) be the first derivative of i(w). Calculate -3*g(t) + l(t).
-t**2
Let n(w) = -w**2 - w - 1. Let a be (-3 + 2)/(1/(-6)). Let t(d) be the third derivative of -7*d**5/60 - d**4/6 - 7*d**3/6 + d**2. Calculate a*n(j) - t(j).
j**2 - 2*j + 1
Let t(b) = 1 - 4 + 8*b**2 + 4 - 5*b**3. Let a be (-26)/6*(0 - -3). Let j(f) = 11*f**3 - 17*f**2 - 2. Give a*t(z) - 6*j(z).
-z**3 - 2*z**2 - 1
Let j(l) = -4*l + 7. Suppose 2*k - 7*k = -60. Suppose -k = -u - u. Suppose h - 13 = -u*i + 2*i, 3*i = -h + 8. Let d(n) = -n + 2. Calculate h*d(a) + 2*j(a).
-a
Let q(y) = -2*y**3 + 3*y**2 - 3*y - 16. Let u(g) = g**3 - 2*g**2 + 2*g + 16. Calculate -2*q(c) - 3*u(c).
c**3 - 16
Let h = 8 + -17. Let n(c) = -5*c**3 - 9*c**2 - 5*c. Let d(y) = y + y**2 - 4*y**2 + 0*y + y**3 + 5*y**2. What is h*d(u) - 2*n(u)?
u**3 + u
Let l(b) = 3*b**3 + 8*b - 8. Let p(g) = 0*g + 3*g + 2*g**3 + 4 - 7 - g**3. Let m = -8 - 0. Suppose 3*a + 6 = 5*a. Give a*l(z) + m*p(z).
z**3
Suppose 8 = 7*m - 13. Let j(n) = n**2 + 3*n - 3. Let c(i) = -5*i + 2*i + 2 + i**2 - 2*i**2. Give m*c(p) + 2*j(p).
-p**2 - 3*p
Let r(l) = l**2 - l - 1. Suppose x = -4 + 5. Let n be x*3*3/3. Suppose -o = -4*j, n*j + 3*o + 23 = -2*o. Let k(v) = -v - 1. Determine j*r(f) + k(f).
-f**2
Let z(c) = c - 1. Let w(x) = 8*x - 13. Let y(g) = -4*g + 2. Let s(p) = -4*p + 1. Let d(v) = 4*s(v) - 5*y(v). Let u(f) = -7*d(f) + 3*w(f). Give 2*u(r) + 6*z(r).
-2*r
Let c(g) be the first derivative of 17*g**3/3 - 3*g**2/2 - g - 38. Let b(o) = 4*o**2 - o. Give 9*b(y) - 2*c(y).
2*y**2 - 3*y + 2
Let u(l) = -2*l - 6. Let s(c) = 2*c + 7. What is 5*s(h) + 6*u(h)?
-2*h - 1
Let c(x) = 3*x**3 + 5*x - 1. Let h(u) = u**3 + 2*u - 1. Calculate -4*c(b) + 10*h(b).
-2*b**3 - 6
Let o(j) = j**3 + 10*j**2 + 2. Let c be o(-10). Let t(d) be the first derivative of -3/2*d**2 - d - c. Let u(h) = -h. Determine t(y) - u(y).
-2*y - 1
Let j(t) be the second derivative of t**4/6 + 2*t**3/3 - t**2/2 - t. Let b be j(-3). Let i(w) = 5*w. Let m(x) = -4*x. What is b*i(n) + 6*m(n)?
n
Let u(q) = q + 3. Let i(w) = w + 3. Calculate 4*i(c) - 5*u(c).
-c - 3
Let y(z) = 15*z**3 + 9*z**2 - 13*z + 13. Let s(q) = -7*q**3 - 4*q**2 + 6*q - 6. Suppose -3*h - 3*u = -8*u - 43, -3*h = u - 13. Give h*y(j) + 13*s(j).
-j**3 + 2*j**2
Let v = 7 + 8. Suppose 3*b - 6 = v. Let q(c) = -7*c + 4. Let u(r) = 8*r - 5. Calculate b*q(a) + 6*u(a).
-a - 2
Let w(k) = k - 9. Let j(u) = -2*u + 22. Let i(o) = 5*j(o) + 12*w(o). Let l(b) = 2*b + 2. Give 6*i(p) - 5*l(p).
2*p + 2
Let l(o) = o**2. Let w(v) = 3*v**2 - v + 6. Determine -2*l(h) + w(h).
h**2 - h + 6
Let o(q) = -4*q - 12 - 9 - 3 + 23. Let u(a) = 3*a + 1. What is -2*o(g) - 3*u(g)?
-g - 1
Let r(g) = 30*g + 2. Let o(v) = 210*v + 15. What is 2*o(k) - 15*r(k)?
-30*k
Let v(l) = -50*l**3 + 5*l**2 - 11*l + 6. Let y(c) = 10*c**3 - c**2 + 2*c - 1. Give -4*v(z) - 22*y(z).
-20*z**3 + 2*z**2 - 2
Let p(x) = -2*x + 3. Let l(i) = -i + 2. Let h be 6*(0 + (-2)/(-4)). Let d(f) = -f**3 + 7*f**2 - 5*f - 8. Let r be d(6). Calculate h*l(t) + r*p(t).
t
Let t(p) = 4*p. Let h(l) be the third derivative of 1/24*l**4 + 0*l**3 + 3*l**2 + 0*l + 0. Calculate -2*h(q) + t(q).
2*q
Let n(o) = -o - 5*o + 34 + o**3 - 36 + 3*o. Let l(d) = 2*d**3 - 5*d - 3. Determine 3*l(p) - 5*n(p).
p**3 + 1
Let z(a) be the second derivative of 0 - 1/6*a**3 + 0*a**2 - a. Let v(w) = -w**2 + w - 1. Let f be v(0). Let l(t) = -5*t - 2. Calculate f*l(i) + 4*z(i).
i + 2
Let m(g) = -2*g**2 - g - 4. Let z = 30 - 20. Suppose -4*q + 7*q = 3*s - 6, 2*q = 4*s - z. Let a(o) = -2*o**2 - o - 3. Give s*m(t) - 4*a(t).
2*t**2 + t
Let u(m) = -9*m**2 - 7*m - 6. Let a(c) be the first derivative of -8*c**3/3 - 3*c**2 - 5*c + 8. What is 6*a(v) - 5*u(v)?
-3*v**2 - v
Let d(f) be the first derivative of f**4 + f**2/2 - 3*f + 1. Let a = -17 - -12. Let n(i) = -2 - 3 + 5*i**3 + 1 + i + 0. Determine a*n(w) + 6*d(w).
-w**3 + w + 2
Let v(u) = -3*u**3 - u**2 + 3*u + 3. Let p(t) = 3*t**3 + 2*t**2 - 2*t - 2. Calculate 3*p(n) + 2*v(n).
3*n**3 + 4*n**2
Let p(w) = -39*w**2 - 11*w + 16*w + 31*w**2 - 6. Let n(q) = 7*q**2 - 4*q + 5. Suppose -26 = -5*l + 4. Let o = -5 + 10. What is l*n(z) + o*p(z)?
2*z**2 + z
Let p(u) = 29*u**3 + 9*u - 9. Let y(r) = -7*r**3 - 2*r + 2. Let l = 74 + -72. Determine l*p(f) + 9*y(f).
-5*f**3
Let f(b) = 7 - 7*b + b**2 - 2 + 2*b. Let c = -7 + 7. Let h(w) = -1 + w + c*w - 2*w + 2. Determine -2*f(i) + 10*h(i).
-2*i**2
Suppose -2*m + 3*m + 2 = -c, 5*c = -4*m - 7. Let w(f) = 3*f**2 + f - 1. Let j(v) be the first derivative of -v**3/3 - v**2/2 + v - 2. Give c*w(g) + j(g).
2*g**2
Let w(h) = -h**3 - 7*h**2 + 4. Let z be w(-7). Let p(v) = 2 - v - z + 4 - 3. Let g(k) = 2*k + 3. Calculate -g(y) - 3*p(y).
y
Let t(z) = -7*z**2 - 2*z + 29. Let b(k) = -3*k**2 - k + 14. Give 13*b(a) - 6*t(a).
3*a**2 - a + 8
Let h(f) = 7*f**2 + 6*f. Let q(c) = -13*c**2 - 11*c. What is 11*h(t) + 6*q(t)?
-t**2
Let k(r) = -2*r**3 + r**2 + 2*r. Let c(l) = -l**2 - l. Let q be -3 + 1 - (-30)/5. What is q*c(x) + k(x)?
-2*x**3 - 3*x**2 - 2*x
Let u(c) = -3*c + 3. Let z(g) = g - 2. Let i(a) = 4*u(a) + 9*z(a). Let y(j) = -2*j - 5. Suppose -5*l - 9 = -29. Give l*i(s) - 5*y(s).
-2*s + 1
Let o(p) = 2*p**3 + 3*p**2 - 3*p. Let t(m) = -m + 3. Let r be ((-34 - -2)/(-2))/2. Let i be t(r). Let z(a) = -4*a**3 - 5*a**2 + 5*a. Determine i*o(l) - 3*z(l).
2*l**3
Let l be ((-42)/4 + 2)*2. Let t(q) = -5*q**2 + q**3 + 6*q**3 + 13*q**2 - 4*q. Let i(v) = -20*v**3 - 23*v**2 + 11*v. Calculate l*t(x) - 6*i(x).
x**3 + 2*x**2 + 2*x
Let y(r) = 7*r + 3. Let i(n) = 1. What is 4*i(s) - y(s)?
-7*s + 1
Let a be (-8)/(-12)*(-6)/(-4). Let y(v) = v + 1. Let b = 8 + 2. Let d(s) = -b + 4*s - 2 - 14*s. Give a*d(c) + 12*y(c).
2*c
Let c(x) be the third derivative of x**5/60 + x**4/12 - 2*x**3/3 - x**2. Suppose 32 = -7*f + 3*f. Let o(t) = 3*t**2 + 6*t - 11. Give f*c(k) + 3*o(k).
k**2 + 2*k - 1
Let x(a) = 1. Let l(d) = -4*d - 4. Let v(o) = o + 1. Let i(u) = -l(u) - v(u). Give i(m) - 3*x(m).
3*m
Let x(f) = 1. Let d(g) = 3 + g + 2 - 2 - 2. Give -2*d(w) + 3*x(w).
-2*w + 1
Let w(c) = 2*c**2 + c**2 + 5 - 5*c + 6*c + 4*c. Let r(z) = z**3 - 4*z**2 - 5. Let j be r(4). Let h(f) = -f**2 - 2*f - 2. Give j*h(i) - 2*w(i).
-i**2
Let f(g) = g - 4. Suppose 21*o - 1 = 20*o. Let q(p) = -3. Let b(v) = -1. Let w(r) = o*q(r) - 2*b(r). What is f(l) - 5*w(l)?
l + 1
Let l(k) = -k + 1. Let x(q) be the second derivative of -5*q**3/6 + 5*q**2/2 + q. Suppose 26 = -o + 27. Suppose -h = -0*h + 6. Give h*l(j) + o*x(j).
j - 1
Suppose 0 = 5*a + 26 - 11. Let i = a - -6. Let q(r) be the first derivative of 5*r**2/2 + 4*r + 1. Let k(d) = d + 1. Give i*k(x) - q(x).
-2*x - 1
Let b(f) = -23*f**2 + 6*f + 17. Let z = 9 - 15. Let j(i) = 8*i**2 - 2*i - 6. Let p(y) = y**3 - 8*y**2 + 4*y + 4. Let t be p(7). Calculate t*j(o) + z*b(o).
2*o**2 - 2*o
Let s(i) = 5*i + 1. Let j be (-2)/(-7) - 300/(-28). Let t(q) be the first derivative of 9*q**2/2 + 2*q - 1. Let b be (-8)/10*75/10. Determine b*t(r) + j*s(r).
r - 1
Let c(z) = 30*z + 25. Let l(q) = -q - 1. Determine -c(y) - 25*l(y).
-5*y
Let y(p) = -1. Let a(n) = -n**2 - 5*n - 1. Let b be a(-5). Let o(u) = -2*u + 9. Give b*o(f) - 5*y(f).
2*f - 4
Let i(n) = 26*n**2 - 3*n + 14. Let y(x) = 9*x**2 - x + 5. Determine -6*i(r) + 17*y(r).
-3*r**2 + r + 1
Let d be 2/((-1)/(14/(-4) - -3)). Let u(z) = -z. Let k(y) = 8*y + 2. Determine d*k(b) + 5*u(b).
3*b + 2
Let o(c) = c**2 - 9*c + 6. Let w be o(6). Let y be w/(-8) + 2/4. Let q(g) = 11*g - 12*g + 3 - y. Let h(u) = u**2 + 11*u - 11. Give 2*h(k) + 22*q(k).
2*k**2
Let z(i) = -i**3 - 8*i**2 - 4. Let x be z(-8). Let d(h) = -h**2 + h - 1. Let a(s) = s**3 + 4*s - 3 - 5*s**2 + 0*s**2 - 1. Determine x*d(y) + a(y).
y**3 - y**2
Let f(y) = 4*y**2 + 21*y - 4. Suppose -2*j + 6 = -2. Let i(h) = -3*h + j*h**2 + 1 - 2*h - 5*h**2. What is -2*f(o) - 9*i(o)?
o**2 + 3*o - 1
Let r(y) = 8*y + 16. Let k(t) = -3*t - 5. What is 16*k(x) + 5*r(x)?
-8*x
Let h(s) = -3*s + 1. Let l(g) = -g. Let f be (-27)/(-3)*2/9. Let | {
"pile_set_name": "DM Mathematics"
} |
0.
12*t
Collect the terms in 0*p**2 + 1049 - 1049 - 9*p**2.
-9*p**2
Collect the terms in 0*g**2 + 402*g - 801*g + 399*g + 2*g**2.
2*g**2
Collect the terms in -2*n + 27*n**2 + 2*n - 36*n**2.
-9*n**2
Collect the terms in 1 - 1075*q + 1076*q - 1.
q
Collect the terms in 38*w - 6*w - 8*w - 9*w - 13*w.
2*w
Collect the terms in 25*n**3 - 16*n**3 - 11*n**3.
-2*n**3
Collect the terms in -1611 + 1611 + 5*c**2.
5*c**2
Collect the terms in -139*i**2 + 6 + 7 - 14.
-139*i**2 - 1
Collect the terms in -421 - 51*v + 421 - 53*v.
-104*v
Collect the terms in 47*w - 7 + 0 + 7.
47*w
Collect the terms in 8*s**2 + 0*s**2 + 6*s**2 + 0*s**2.
14*s**2
Collect the terms in -7*g**3 + 6*g**3 + 6*g**3.
5*g**3
Collect the terms in -125 - 4*u + 125.
-4*u
Collect the terms in 20*n - 20*n - 118*n**2.
-118*n**2
Collect the terms in 17*n**3 - 49*n**3 + 20*n**3 + 16*n**3.
4*n**3
Collect the terms in 39*o - 113*o + 41*o + 32*o.
-o
Collect the terms in 37*l + 28 + 18 - 46.
37*l
Collect the terms in -18*b**2 - 25*b**2 - 20*b**2 + 76*b**2 - 19*b**2.
-6*b**2
Collect the terms in -4*z + 6*z + 8*z + 3*z + 2*z.
15*z
Collect the terms in 114*l**2 - 34*l**2 - 81*l**2.
-l**2
Collect the terms in 8*m - 19*m + 0*m.
-11*m
Collect the terms in -9*k - 3*k + 0*k.
-12*k
Collect the terms in 56*a**2 + 22*a**2 + 9*a**2.
87*a**2
Collect the terms in -65*p + 36*p - 74*p + 2.
-103*p + 2
Collect the terms in -3*q**2 - 26 + 55 - 29.
-3*q**2
Collect the terms in 62*d**2 + 131*d**2 - 189*d**2.
4*d**2
Collect the terms in -2377*b + 2377*b - 22*b**2.
-22*b**2
Collect the terms in -1768*m**2 + 1768*m**2 + 9*m**3.
9*m**3
Collect the terms in 35*r**2 + 3*r + 14*r - 20*r.
35*r**2 - 3*r
Collect the terms in 59751*x**2 - 28*x**3 - 59751*x**2.
-28*x**3
Collect the terms in 3975423*b - 3975423*b - 13*b**2.
-13*b**2
Collect the terms in -6598*c - 6596*c + 13193*c.
-c
Collect the terms in -36*x**2 + 117*x**2 - 32*x**2 - 27*x**2 - 38*x**2.
-16*x**2
Collect the terms in 54*z - 11*z - 11*z**3 - 43*z.
-11*z**3
Collect the terms in 4*n**3 + 0*n - 9*n**3 + 0*n.
-5*n**3
Collect the terms in -v**2 - 17563 + 17563.
-v**2
Collect the terms in 146*p**3 - 36*p**3 - 32*p**3 - 43*p**3 - 34*p**3.
p**3
Collect the terms in 11 - 28 + 2*u - 19.
2*u - 36
Collect the terms in g + 8*g + g + g.
11*g
Collect the terms in -y - y + 36*y.
34*y
Collect the terms in -3*n + 3*n + 207*n**2.
207*n**2
Collect the terms in -5*w**2 + 501 - w**3 + 5*w**2 - 501.
-w**3
Collect the terms in 4*l**2 + 11*l**2 - 3*l**2 - 9*l**2.
3*l**2
Collect the terms in 27*k - 27*k - 28*k**2.
-28*k**2
Collect the terms in -3*c + 0 + 7*c + 0.
4*c
Collect the terms in 8*a + 7*a**2 - 3*a - 5*a - 9*a**2.
-2*a**2
Collect the terms in -38*i**2 - 1 + 1 - 111*i**2.
-149*i**2
Collect the terms in 46 - 46 - 2*r.
-2*r
Collect the terms in 7 - 4 - u - 3.
-u
Collect the terms in -441*u + 866*u + 778*u.
1203*u
Collect the terms in 42 + 8 - 50 + 8*o**3.
8*o**3
Collect the terms in -5*t**2 + 4*t**2 - 15*t**2.
-16*t**2
Collect the terms in 12*w**2 - 27*w**2 + 10*w**2.
-5*w**2
Collect the terms in -10*x**3 + 21*x**3 - 6*x**3.
5*x**3
Collect the terms in -206*n - 293*n + 503*n.
4*n
Collect the terms in -6*d - 13*d + 2*d**2 + 19*d.
2*d**2
Collect the terms in 1 + 509*g**3 - 504*g**3 + 3 - 4.
5*g**3
Collect the terms in 6*v - 16*v + 5 - 5.
-10*v
Collect the terms in 4*x**2 - 34 + 34.
4*x**2
Collect the terms in 9*d**3 - 2*d**3 - 12*d**3 + 4*d**3.
-d**3
Collect the terms in 4*x**3 - 6*x**3 + 75 - 57 - 18.
-2*x**3
Collect the terms in 0 - 6 - 6*j**2 + 6.
-6*j**2
Collect the terms in 2*y - 73*y - 43*y.
-114*y
Collect the terms in 2*n + 5*n**3 - 2*n + 4*n**3.
9*n**3
Collect the terms in -14*p + 9*p**2 + 52*p - 11*p - 27*p.
9*p**2
Collect the terms in 25*c**2 + 23*c**2 - 76*c**2 + 24*c**2.
-4*c**2
Collect the terms in -24*j - 21*j + 67*j + 12*j**2 - 22*j.
12*j**2
Collect the terms in 16*g**3 - 2*g**3 - 24*g**3 - 26*g**3.
-36*g**3
Collect the terms in -24*c**3 + 0*c**3 - 8*c**3 + 10*c**3.
-22*c**3
Collect the terms in -15*f + f**2 + 28*f - 13*f.
f**2
Collect the terms in -17*p - 5*p**3 + 11*p + 6*p + 7*p**3.
2*p**3
Collect the terms in 4*k - 9*k + 8*k**2 + 10*k.
8*k**2 + 5*k
Collect the terms in -2*u**2 + 6*u**2 - 22*u**2 + 6*u**2.
-12*u**2
Collect the terms in 75*m**2 - m**3 - 37*m**2 - 38*m**2.
-m**3
Collect the terms in 104844 - 104844 + 3*h**2.
3*h**2
Collect the terms in 26*h**2 - 23*h**2 + 18*h**2.
21*h**2
Collect the terms in 4647*p - 9271*p + 4623*p.
-p
Collect the terms in -23*d + 23*d - 4*d**2.
-4*d**2
Collect the terms in -432*d**2 - 389*d**2 + 821*d**2 - 4*d**3.
-4*d**3
Collect the terms in -37 - a + 16 + 21 - a.
-2*a
Collect the terms in 18*b**3 - 59 + 20 - 24.
18*b**3 - 63
Collect the terms in 2*q**3 + 0*q**3 - q**2 + q**2.
2*q**3
Collect the terms in 437*c - 2 - 1320*c + 2.
-883*c
Collect the terms in 6*m - 3*m + 32*m**2 - m.
32*m**2 + 2*m
Collect the terms in 13*n - 33*n - 26*n.
-46*n
Collect the terms in -2*v + 6*v - 2*v + 5*v.
7*v
Collect the terms in -5*i**2 - 6*i**2 + 10*i**2 - i**2.
-2*i**2
Collect the terms in -21*c**3 + 1162*c**2 - 1162*c**2 + 3.
-21*c**3 + 3
Collect the terms in 9*v**3 - 752 + 752.
9*v**3
Collect the terms in r - 49 + 49.
r
Collect the terms in 12*j**2 - 5*j**2 + j**2.
8*j**2
Collect the terms in -x**3 + 6*x + 34*x**3 - 7*x**3.
26*x**3 + 6*x
Collect the terms in -4 - m**2 - 11*m - 3*m**2 + 4.
-4*m**2 - 11*m
Collect the terms in 4 + 0 - 5 - 227*n**2.
-227*n**2 - 1
Collect the terms in -7*w**3 - 3 + 13 - 10.
-7*w**3
Collect the terms in 2*h**2 + 30*h + 10*h - 40*h.
2*h**2
Collect the terms in -2421*c**3 - 2450*c**3 + 4881*c**3.
10*c**3
Collect the terms in -v - 3*v + 12*v - 5*v.
3*v
Collect the terms in -5*m**3 + 3*m**3 + 0*m**3.
-2*m**3
Collect the terms in 124 - 124 - 3*v.
-3*v
Collect the terms in 6*n**2 - 136 + 78 + 58.
6*n**2
Collect the terms in -2*z + 4 - 4 + 0*z.
-2*z
Collect the terms in 5*i + 2*i - 10*i - 26*i.
-29*i
Collect the terms in -12*p**2 - 499*p - 2*p**3 + 12*p**2.
-2*p**3 - 499*p
Collect the terms in 103*b**2 + 47*b**2 - 238*b**2.
-88*b**2
Collect the terms in -m - 4*m - m.
-6*m
Collect the terms in 177*u + 175*u + 170*u - u**2 - 522*u.
-u**2
Collect the terms in -55*h + 14*h + 37*h.
-4*h
Collect the terms in 6*p**2 + 655 - 655.
6*p**2
Collect the terms in -6*c**2 - 3*c**3 - 2*c**3 + 2*c**3 + 6*c**2.
-3*c**3
Collect the terms in -2*i**3 + 0*i + 0*i.
-2*i**3
Collect the terms in j**2 - 42*j - j**2 - 2*j**2.
-2*j**2 - 42*j
Collect the terms in 1034*h**2 - 5*h - 1022*h**2 + 3*h + 2*h.
12*h**2
Collect the terms in 11*a + 20*a**2 + 29*a**2 - 11*a - 44*a**2.
5*a**2
Collect the terms in -3 + 4 - 79*q - 2 - 2.
-79*q - 3
Collect the terms in 1022*m - 1022*m + 7*m**2.
7*m**2
Collect the terms in -18*q + 44*q - 27*q.
-q
Collect the terms in 31 + 161*x - 31 - 162*x.
-x
Collect the terms in -3*s**2 - 2*s - 51*s**2 - 26*s**2.
-80*s**2 - 2*s
Collect the terms in -388 + 139 + 2*x + 125 + 124.
2*x
Collect the terms in -13*j**3 + 62*j**3 + 5*j**3.
54*j**3
Collect the terms in -16400*z + 16400*z - 3 + 6*z**2 + 3.
6*z**2
Collect the terms in -17*u**3 + 17*u - 13*u - 4*u.
-17*u**3
Collect the terms in 99*g**2 - 69*g**2 + 42*g**2.
72*g**2
Collect the terms in 7*k**3 + 14 + 20*k**3 - 14.
27*k**3
Collect the terms in -54*d**2 + 335*d**2 - 5*d**2.
276*d**2
Collect the terms in 3*w**2 - 16777*w + 16777*w.
3*w**2
Collect the terms in -30 - 9 + 9 + 2*i.
2*i - 30
Collect the terms in -6*j - 2*j - j.
-9*j
Collect the terms in 345 - 345 - 5*i.
-5*i
Collect the terms in 14*x**3 - 4*x**3 + 16*x**3.
26*x**3
Collect the terms in -5*f**3 - 5*f + 0*f + 5*f.
-5*f**3
Collect the terms in -191*b**3 + 171*b**3 + 27*b**3.
7*b**3
Collect the terms in 24 - 118*j - 53 + 29.
-118*j
Collect the terms in -4*k - 272 + 136 + 136.
-4*k
Collect the terms in 4*p**2 - 3*p**2 - 14*p**2 - 13*p**2.
-26*p**2
Collect the terms in w**3 - 3*w**3 - 916 + 914.
-2*w**3 - 2
Collect the terms in 0*q**2 + 10*q**2 + 0*q**2 + 11*q**2.
21*q**2
Collect the terms in 694 - 345 - 349 + 8*t**2.
8*t**2
Collect the terms in 151 - 151 + 159*b.
159*b
Collect the terms in 16*q**2 + 2*q**2 + 0*q**2 + 16*q**2.
34*q**2
Collect the terms in 3*u**2 + 3*u**2 - u**2 - 3*u**2.
2*u**2
Collect the terms in -3*z**3 - 13*z**3 + 15*z**3.
-z**3
Collect the terms in -61*r**2 - 26*r**2 - 50*r**2.
-137*r**2
Collect the terms in 8*y | {
"pile_set_name": "DM Mathematics"
} |
comes next: 567, 593, 619, 645, 671, 697?
723
What is the next term in -251, -265, -305, -383, -511, -701, -965, -1315?
-1763
What comes next: -12, -15, 0, 45, 132, 273, 480, 765?
1140
What comes next: -7887, -7889, -7891?
-7893
What is next in -886, -888, -890, -892, -894, -896?
-898
What is next in -53, -78, -117, -176, -261, -378, -533?
-732
What is the next term in 78, 264, 574, 1008, 1566, 2248?
3054
What is the next term in -98, -78, -58, -38?
-18
What is next in 1171, 1164, 1139, 1090, 1011, 896?
739
What comes next: 223, 234, 267, 334, 447, 618, 859?
1182
What is next in -1573, -1572, -1571, -1570, -1569?
-1568
What is the next term in -39, -30, -21, -12?
-3
What comes next: -16, -10, 0, 14?
32
What is the next term in 71, 145, 237, 353, 499, 681, 905?
1177
What comes next: -42, -41, -40, -39?
-38
What comes next: -11, 30, 107, 226, 393, 614, 895?
1242
What is next in 6962, 6954, 6940, 6920, 6894, 6862?
6824
What is the next term in 17, 209, 739, 1775, 3485, 6037, 9599, 14339?
20425
What is the next term in -69, -312, -723, -1308, -2073?
-3024
What is the next term in -351, -706, -1061, -1416?
-1771
What comes next: 1164, 1154, 1142, 1128, 1112, 1094, 1074?
1052
What is the next term in -1896, -3794, -5692, -7590?
-9488
What comes next: -1395, -1393, -1391, -1389, -1387, -1385?
-1383
What is next in -242, -231, -202, -149, -66, 53, 214?
423
What is next in 2083, 4165, 6247, 8329?
10411
What comes next: -372, -373, -376, -381, -388?
-397
What is next in 1287, 2580, 3887, 5214, 6567?
7952
What is next in -60, -49, -36, -21?
-4
What is next in 83988, 83987, 83986, 83985?
83984
What is the next term in 89, 353, 787, 1385, 2141, 3049, 4103?
5297
What is the next term in 10, 18, 34, 64, 114?
190
What is the next term in -728, -1454, -2180, -2906, -3632, -4358?
-5084
What is the next term in -15, -33, -47, -57, -63, -65, -63?
-57
What comes next: -100, -134, -156, -160, -140, -90, -4, 124?
300
What is the next term in -27, -18, -3, 18?
45
What is next in 27, 27, 17, -9, -57, -133?
-243
What comes next: 31, 49, 95, 181, 319, 521, 799, 1165?
1631
What comes next: -268, -503, -708, -883, -1028?
-1143
What is the next term in -1, 1, 15, 47, 103, 189, 311?
475
What comes next: 254, 290, 326, 362, 398?
434
What is next in 29, 102, 223, 392?
609
What is next in -17, -28, -33, -32, -25, -12, 7?
32
What comes next: -287, -294, -303, -314, -327, -342, -359?
-378
What is next in 16, 48, 126, 274, 516, 876?
1378
What is the next term in 4, -13, -54, -131, -256, -441?
-698
What is next in 417, 1661, 3727, 6609, 10301, 14797, 20091?
26177
What is the next term in -533, -448, -219, 226, 959, 2052, 3577?
5606
What comes next: -140, -144, -148?
-152
What comes next: -448, -455, -460, -463, -464, -463?
-460
What is next in 10944, 10941, 10936, 10929, 10920, 10909?
10896
What is next in -55, -52, -49, -46, -43?
-40
What is the next term in -1283, -2565, -3847, -5129, -6411, -7693?
-8975
What is next in -199, -194, -179, -148, -95?
-14
What is next in 23, 36, 49, 62?
75
What is next in 1067, 2137, 3207, 4277, 5347, 6417?
7487
What is the next term in -89, -161, -351, -719, -1325, -2229, -3491, -5171?
-7329
What is next in 25, -2, -75, -218, -455, -810, -1307?
-1970
What comes next: 68, 85, 102, 119, 136, 153?
170
What is next in 100, 103, 106?
109
What comes next: 918, 1837, 2772, 3729, 4714?
5733
What is next in 3712, 3717, 3732, 3763, 3816, 3897, 4012, 4167?
4368
What is the next term in 65, 60, 53, 44, 33?
20
What is next in 29, 47, 67, 89, 113, 139, 167?
197
What is next in 3, -14, -43, -84, -137, -202, -279?
-368
What comes next: 5, 8, 11, 14, 17, 20?
23
What comes next: 44, 40, 36?
32
What is the next term in 48, 76, 88, 84, 64?
28
What comes next: -26, -12, 12, 46, 90, 144, 208?
282
What is the next term in -2, 5, 34, 97, 206, 373, 610?
929
What is the next term in -15, -12, -15, -30, -63, -120?
-207
What is next in -162, -343, -538, -753, -994?
-1267
What is the next term in 32, 54, 72, 86, 96, 102, 104?
102
What comes next: -903, -942, -991, -1056, -1143?
-1258
What comes next: -182, -361, -536, -707, -874, -1037, -1196?
-1351
What is the next term in -135, -130, -127, -126?
-127
What is the next term in 188, 448, 734, 1058, 1432, 1868, 2378?
2974
What is the next term in 151, 155, 161, 169, 179?
191
What is next in 1078, 2156, 3234, 4312, 5390?
6468
What is next in 378, 391, 404?
417
What is the next term in 15207, 15206, 15205, 15204, 15203, 15202?
15201
What is next in 62, 49, 30, 5, -26?
-63
What comes next: -9359, -9362, -9367, -9374?
-9383
What is the next term in -372, -755, -1138?
-1521
What comes next: 201, 397, 593, 789, 985?
1181
What is the next term in -117, -123, -133, -147, -165, -187?
-213
What comes next: 61, 117, 173, 229?
285
What is next in 23, 24, 25, 26, 27?
28
What is the next term in 358, 371, 384, 397, 410?
423
What is the next term in -486, -978, -1480, -1992, -2514, -3046?
-3588
What comes next: -94, -349, -756, -1315?
-2026
What is next in -97, -87, -71, -49, -21, 13?
53
What is the next term in -2666, -2665, -2662, -2657, -2650, -2641?
-2630
What is next in 27, 18, -11, -72, -177, -338, -567?
-876
What is the next term in -64, -127, -190, -253?
-316
What comes next: -163, -328, -493?
-658
What comes next: -3627, -3628, -3629, -3630, -3631?
-3632
What is the next term in 81, 163, 243, 321, 397?
471
What is next in 16, 37, 86, 175, 316, 521?
802
What is the next term in 28, 24, 28, 46, 84, 148?
244
What is the next term in 645, 637, 619, 585, 529, 445, 327, 169?
-35
What is next in -23, -36, -43, -44?
-39
What is next in 72, 145, 220, 297, 376?
457
What is next in -206, -419, -632?
-845
What is the next term in 297, 1149, 2559, 4521, 7029?
10077
What is the next term in -77, -75, -71, -65, -57, -47, -35?
-21
What comes next: 26, 42, 58, 74?
90
What is next in -232, -231, -230?
-229
What is the next term in 242, 244, 246?
248
What comes next: -766, -765, -764, -763?
-762
What is next in 1, -6, -15, -26, -39, -54?
-71
What comes next: 37, 124, 269, 472, 733, 1052, 1429?
1864
What is next in 999, 1996, 2991, 3984, 4975?
5964
What is the next term in -487, -972, -1453, -1930?
-2403
What is next in -343, -1381, -3111, -5533, -8647, -12453, -16951?
-22141
What is the next term in 1244, 1240, 1236, 1232?
1228
What is next in -17, -73, -165, -293?
-457
What is next in 36, 30, 26, 24, 24?
26
What is the next term in 512, 512, 510, 506, 500, 492?
482
What is next in -11, -35, -85, -173, -311?
-511
What comes next: -216, -432, -648, -864?
-1080
What is the next term in 15, 80, 203, 396, 671?
1040
What comes next: -9, -65, -173, -333, -545?
-809
What is the next term in 1, -2, -5, -8?
-11
What is the next term in -150, -64, 24, 114, 206?
300
What is next in 693, 1388, 2083, 2778?
3473
What is the next term in -235, -527, -819, -1111, -1403?
-1695
What is the next term in 452, 453, 454, 455?
456
What is next in 11459, 22916, 34361, 45788, 57191, 68564, 79901, 91196?
102443
What is next in -1596, -1606, -1616?
-1626
What comes next: 2, 5, 14, 35, 74, 137, 230, 359?
530
What comes next: 26, 43, 64, 89, 118, 151?
188
What comes next: 7, 8, 21, 52, 107, 192, 313, 476?
687
What is next in -290, -581, -872, -1163, -1454, -1745?
-2036
What is the next term in -2499, -4991, -7483, -9975, -12467?
-14959
What is next in 23, 43, 63, 83, 103?
123
What is the next term in -324, -646, -968, -1290, -1612, -1934?
-2256
What comes next: 3780, 7562, 11344, 15126, 18908, 22690?
26472
What is next in 69, 58, 41, 18, -11, -46, -87?
-134
What is next in -385, -745, -1107, -1471?
-1837
What is next in -7, -36, -81, -148, -243, -372, -541?
-756
What is next in 17, 154, 393, 740, 1201, 1782, 2489, 3328?
4305
What comes next: -90, -352, -784, -1386, -2158, -3100, -4212?
-5494
What is next in 879, 1781, 2683, 3585, 4487, 5389?
6291
What is the next term in 2, -12, -62, -166, -342, -608?
-982
What is next in 4, -19, -58, -113, -184, -271, -374?
-493
What is next in -1343, -5338, -11987, -21284, -33223, -47798, -65003?
-84832
What is the next term in -164, -328, -470, -578, -640, -644, -578?
-430
What comes next: -140, -265, -376, -467, -532?
-565
What comes next: 182, 180, 178, 176, 174, 172?
170
What comes next: -313, -292, -269, -244?
-217
What comes next: -90 | {
"pile_set_name": "DM Mathematics"
} |
ctor of v and t.
3
Suppose -119 = -l + 5*v + 96, 0 = 2*l - 4*v - 400. Calculate the highest common factor of l and 10.
10
Suppose 4*i = 2*i + 5*y - 13, 0 = -4*i - 4*y + 44. Suppose -i*h + 130 = -h. What is the greatest common factor of h and 104?
26
Let d(l) = -676*l + 83. Let s be d(-1). What is the greatest common divisor of 33 and s?
33
Let x(p) = -p**3 + 6*p**2 - 3*p + 1. Let o be 4/8 + 18/4. Let t be o/(-15) - 16/(-3). Let z be x(t). What is the greatest common factor of 55 and z?
11
Let g(i) = 46*i + 41. Let a be g(21). Calculate the greatest common divisor of a and 19.
19
Let v = 34 + 19. Let u = v - 39. Calculate the highest common factor of u and 238.
14
Suppose 7*k = 5*b + 3*k - 166, 0 = b + 2*k - 22. Suppose 0*j - 181 = -3*j - h, 178 = 3*j - 2*h. What is the highest common factor of j and b?
30
Suppose -4*r - 50 = -2*t - 6*r, -133 = -5*t - r. What is the highest common factor of 3 and t?
3
Let v be (-97)/(-2) + (-51)/(-102). Calculate the greatest common divisor of 28 and v.
7
Let r be -2 - 7/((-21)/6). Suppose r = -f - 4*f + 320. What is the greatest common factor of f and 16?
16
Let u = 20 + 64. What is the highest common divisor of u and 105?
21
Suppose -30*m + 1355 = 305. Let n(x) = -x**2 - 6*x - 3. Let h be n(-4). What is the highest common factor of m and h?
5
Suppose -9*o + 232 = -5*o. Let l = 25 + -50. Let z = l + o. Calculate the greatest common factor of z and 3.
3
Let h be 126/9*(-1)/2*-2. What is the highest common divisor of h and 126?
14
Suppose 24*m - 25*m + 10 = 0. Suppose -m*d + 6 = -9*d. What is the highest common divisor of 12 and d?
6
Suppose 44*d - 352 = 968. Let s be (-3)/((-13)/10 - -1). Calculate the greatest common divisor of d and s.
10
Suppose 6*y = -4*y + 90. Let p = -34 - -35. Calculate the greatest common divisor of y and p.
1
Suppose -1 = w - 4. Suppose 5*i + 3*m = 15, 3*i - 9 = -0*m + 2*m. Suppose -172 = -i*o - 73. Calculate the highest common divisor of o and w.
3
Let d be (35 + -6)*(1 - (-2 + 2)). What is the greatest common divisor of d and 551?
29
Let m(n) = 15*n + 155. Let z be m(-6). Calculate the greatest common factor of z and 13.
13
Let o be 1*3 + 6 + -5. Suppose -o*u = -q - 6, u - 1 = 1. Calculate the highest common divisor of 12 and q.
2
Suppose 0*l + 94 = 2*l - 4*b, 0 = 3*l - b - 121. Calculate the greatest common factor of l and 351.
39
Let p(w) = -9*w - 84. Let o be p(-17). What is the highest common divisor of o and 115?
23
Let x be (-4)/(8/(-3))*2. Let w(a) = -13*a - 2. Let d be w(-2). Calculate the greatest common factor of d and x.
3
Let i be 1 - (-3)/(12/16). Suppose -4*f - 7 = 5, i*g - 2*f = 21. Calculate the highest common divisor of 24 and g.
3
Let g = 24 + -1. Suppose 0 = -8*c + 9*c - g. Let r = 1 - -114. Calculate the greatest common divisor of c and r.
23
Let q = -29 - -33. Suppose 0*u = 4*u - o - 239, q*o = u - 56. What is the highest common divisor of u and 75?
15
Let v be -3 + 33 + 3 + -7. Suppose -3*a = -3*x + 423, -3*x = x + 4*a - 580. Calculate the greatest common divisor of v and x.
13
Suppose -j - 10 = -5*u - 4*j, 4*u - 1 = -j. Let g be -65*(-5 - u - -3). Let i be ((-1)/(3/(-39)))/1. What is the greatest common divisor of i and g?
13
Let o(p) = -6*p**2 + 8*p + 5. Let b(r) = 5*r**2 - 9*r - 4. Let n(k) = -5*b(k) - 4*o(k). Let f be n(12). Calculate the greatest common divisor of 12 and f.
12
Suppose 9 + 159 = 4*y. Let i = -34 + y. What is the highest common factor of i and 72?
8
Suppose 3*f = -0*f - 24. Let c be (-2)/f - 22/(-8). Suppose 2*t - 66 - 35 = -c*k, 0 = -3*t + 2*k + 158. What is the greatest common factor of t and 13?
13
Let m be 1 + (23 - 4/4). Let x = 30 - m. Calculate the highest common divisor of x and 7.
7
Let i(b) = -31*b - 63. Let x be i(-17). What is the highest common divisor of 16 and x?
16
Let j be (-237)/(-24) - (-2)/(14 - -2). Let r = 176 - 106. Calculate the highest common factor of j and r.
10
Suppose -16 - 4 = -4*a. Suppose -52 = -2*u - a*q + 12, 4*u - q = 106. Let o be 2/(-8) - 434/(-8). Calculate the greatest common factor of o and u.
27
Suppose 3*r + 3 = -48. Let o(k) = -3*k + 24. Let h be o(2). Let n = r + h. Calculate the highest common factor of 8 and n.
1
Suppose -2*k + a + 89 = 0, 0*k - a = 3*k - 121. What is the greatest common factor of 378 and k?
42
Let h(f) = -f**3 + 25*f**2 - 18*f - 99. Let x be h(24). What is the greatest common factor of x and 360?
45
Let o be (-6)/21 + (-18)/(-14) + -1. Suppose -3*l - 20 = l, o = 5*u - l - 80. Suppose 11 + 64 = 5*y. Calculate the highest common factor of y and u.
15
Let q(r) = -2*r**2 - 41*r + 5. Let s be q(-19). Let y = s + -53. What is the highest common factor of 18 and y?
9
Let h be ((-142)/(-213))/((-2)/(-108)). What is the greatest common divisor of h and 2?
2
Let t(j) = 6*j**2 - 23*j - 18. Let y be t(-5). What is the greatest common factor of 65 and y?
13
Let p(l) = 2*l**3 - 2*l**2 - 10*l - 14. Let k be p(7). What is the highest common divisor of 72 and k?
72
Suppose 379 = 4*n - 85. Calculate the greatest common factor of n and 58.
58
Suppose 4*h - 46*c - 8 = -48*c, 2*c - 2 = 2*h. Calculate the highest common factor of 4 and h.
1
Let g(d) = -d + 19. Let k be g(14). Let o = -32 + 47. Calculate the highest common factor of k and o.
5
Let t(j) = j**2 + 13*j + 26. Let k be t(-11). Let n = 11 + k. What is the highest common divisor of n and 120?
15
Let t be 14/(1/1) - (-85 + 85). Calculate the highest common divisor of t and 4.
2
Let q = 97 + -109. Let k(o) = -2*o + 16. Let u be k(q). Calculate the highest common divisor of u and 440.
40
Let s(r) = r**3 + 15*r**2 + 14*r - 32. Let y be s(-15). Let f be (y/8)/(1/(-4)). What is the greatest common divisor of f and 11?
11
Let a be (-18)/171 + 27680/152. Calculate the greatest common divisor of a and 21.
7
Suppose -k = -5*j + 3*k + 49, 0 = -j + 4*k + 13. Let v be 16 + 8 + (-3)/(-1). What is the greatest common factor of v and j?
9
Suppose -561 = -4*c - 4*x + 135, -c + 180 = 3*x. Let w = 8 - 5. Suppose d = -4*h + 27, 4*d - 43 - 39 = -w*h. Calculate the highest common factor of c and d.
19
Suppose 0 = -32*t + 54*t - 110. What is the highest common divisor of t and 830?
5
Suppose 5*s - 27 = -3*g - 0*g, 3*g - s = 45. Let j = -11 + g. Suppose 4*v - 108 = j*p + 45, 0 = v - 5*p - 17. Calculate the highest common factor of 6 and v.
6
Let v(a) = -a + 14. Let i be v(-24). Calculate the highest common divisor of 38 and i.
38
Suppose 3*y - 5*t - 3 + 7 = 0, 5*y = 5*t. Suppose y*r = 3*r - 8. Calculate the greatest common divisor of r and 8.
8
Let y = -105 - -108. Suppose -2*w + 0*w + 106 = y*m, 5*m = w + 181. Calculate the greatest common divisor of m and 48.
12
Suppose 7*x - 335 = -244. Calculate the highest common factor of 65 and x.
13
Let a be 187 + -25 - (1 - -1). Suppose -q = 5*c - a, -4*q = 3*c - 3*q - 96. What is the highest common divisor of 48 and c?
16
Let a(g) = -1835*g - 9160. Let w be a(-5). Let i(l) = l**2 - 3*l - 3. Let s be i(4). What is the greatest common divisor of w and s?
1
Let g be (88/(-28))/((-3)/105). Calculate the greatest common factor of 10 and g.
10
Suppose 982 = -35*b + 3362. Calculate the greatest common factor of b and 374.
34
Suppose -2*k - 90 = -z, 0*z - z - 2*k = -90. Let x = 8 - 13. Let j = x + 20. Calculate the highest common factor of z and j.
15
Suppose -6*z = -5*k - 4*z - 705, 4*z + 705 = -5*k. Let g = k - -251. Let q = -14 + 58. Calculate the greatest common divisor of q and g.
22
Let k(z) = 31*z**2 + 7*z - 7. Let y be k(4). Suppose -20*s = -19*s - y. Calculate the greatest common divisor of 47 and s.
47
Let a(l) = -l + 37. Let r be a(-21). Suppose -4*j + r = 4*f - 314, -2*j = 0. What is the greatest common factor of f and 62?
31
Suppose 3 = 2*a + a. Suppose 0 = -5*d + 2*d + 3, 0 = -w - 4*d + 10. What is the greatest common factor of a and w?
1
Let g = 262 + -249. Calculate the highest common factor of g and 325.
13
Let c be (-2*(-9)/(-4))/((-9)/1248). What is the greatest common factor of c and 48?
48
Suppose 0 = -q + 6*q - 80. Let s be (-10 - -12)/(2/16). Let d = s - 14. Calculate the highest common divisor of d and q.
2
Suppose 4*n = -4*r, n + 5*r = -0*r. Suppose p + p + 2*i + 12 = 0, -5*p + 5*i = n. Let o be 19 - p/(3 - 6). What is the highest common divisor of o and 90?
18
Suppose -4*r + 1207 = 727. Calculate the | {
"pile_set_name": "DM Mathematics"
} |
What is the greatest common factor of o and 110?
10
Let g(s) = 21*s + 1. Let w be g(1). Let a be 25176/104 - 2/26. What is the greatest common divisor of w and a?
22
Suppose t + 58 = 163. Calculate the greatest common divisor of 15 and t.
15
Let b = -10 - -10. Suppose 5*q + 4 - 169 = -5*d, b = -5*q - 3*d + 155. What is the greatest common divisor of q and 4?
4
Let s(z) = 2*z**2 - 4*z. Let n be s(3). Let q(f) = f**2 - 3*f - 2. Let i be q(n). What is the highest common divisor of i and 64?
16
Let l(r) = 4*r - 10. Let f be l(6). What is the highest common factor of f and 126?
14
Suppose 32 = -3*h - 463. Let l = -88 - h. Calculate the highest common factor of l and 11.
11
Let q(b) = -b**3 + 4*b**2 - b - 1. Let o be q(3). Let a be (-168)/20 + (-3)/o. Let x be (-258)/(-4) - a/6. What is the highest common divisor of 6 and x?
6
Let y(r) = -2*r**2 + 6*r + 14. Let t be y(6). Let b be 224/22 + 4/t. What is the highest common factor of 10 and b?
10
Suppose 0*f + 2*f = 88. Let a(h) = -2*h - 1. Let w be a(-2). Suppose r - w*x = 5, 0*x = -2*r + 2*x + 18. What is the greatest common divisor of r and f?
11
Suppose -3*o = -o. Let m(b) = -b**2 + 9. Let d be m(o). Calculate the greatest common factor of d and 36.
9
Suppose 279 = 3*a + 5*f, f + 294 = 4*a - 55. Let p be a/14 + 8/(-28). Suppose 2*x - p = o, 0 = 5*o + 10. What is the highest common factor of 16 and x?
2
Let o = 21 - 18. Calculate the highest common divisor of o and 33.
3
Let i(n) = -2*n - 8. Let m be i(-6). Suppose 171 = g + 2*g + k, m*g - 227 = -k. Let w = -12 + 19. Calculate the highest common factor of w and g.
7
Let x(g) = 56*g**2 + g. Let p be x(1). Let w = -1 - -20. Calculate the greatest common factor of w and p.
19
Let f(v) be the first derivative of 3*v**2/2 - 3*v - 9. Let y be f(2). Calculate the greatest common factor of y and 3.
3
Suppose y + 9 = 2*y. Suppose r + 3*h = 3, 12 = -3*r - h - 3. Let j be (-57)/r + 2/(-4). What is the greatest common divisor of j and y?
9
Let h be (-1 + (3 - 1))*1. Let y be (h - 3) + 1*142. Calculate the highest common factor of 20 and y.
20
Let n = 8 - 5. Suppose -7 = x - n*x - p, -x + 4*p + 8 = 0. Let a be (24/(-20))/(x/(-90)). Calculate the highest common divisor of 18 and a.
9
Let a(t) = -10*t**2 - 4*t + 2. Let m(j) = j**2 + j - 1. Let w(h) = -a(h) - 2*m(h). Let l be w(2). Calculate the greatest common divisor of 90 and l.
18
Let u be ((-240)/50)/((-2)/30). Suppose 0 = -n + 2*n - 48. What is the greatest common factor of n and u?
24
Let g(z) = 58*z**2 + 2*z. Let r be g(-2). Let w = r - 140. What is the highest common divisor of 11 and w?
11
Let s = 3 + -5. Let y = 3 + s. Suppose -5*v - 2*t = -13, 0*v - v - 1 = 4*t. Calculate the highest common divisor of v and y.
1
Let c = -19 + 25. What is the highest common factor of c and 15?
3
Let g = 15 - 8. Let h = 9 - g. What is the greatest common factor of h and 18?
2
Let m = -58 - 32. Let n be (m/(-25))/((-3)/(-10)). What is the greatest common factor of n and 84?
12
Let q = 8 + 2. Let a = 33 + -102. Let h = -29 - a. What is the highest common divisor of q and h?
10
Let m be (-456)/(-40) + 2/(-5). Calculate the greatest common factor of m and 55.
11
Let o(g) = -g + 27. Let s be o(11). Let u be (28/3)/(3/36). What is the highest common factor of s and u?
16
Let d = -37 - -157. Calculate the greatest common factor of d and 40.
40
Let f(m) = -10*m - 16. Let j be f(-16). Calculate the highest common factor of 18 and j.
18
Let o(p) = p**3 + 7*p**2 + 4*p + 6. Let x be o(-6). Suppose 7*g = 6*g + x. Calculate the highest common divisor of g and 6.
6
Let j be (-29)/(-3) - 16/24. What is the greatest common divisor of j and 1?
1
Suppose 3*w - 6 = -0*w. Suppose 0 = 2*h + g + 3*g - 240, -5*h = w*g - 568. What is the greatest common divisor of 14 and h?
14
Let r be 0 + -1 - -11 - -2. Let p = r - 6. Let i(t) = 10*t. Let a be i(3). Calculate the highest common divisor of a and p.
6
Let c = -1 - -29. Calculate the highest common divisor of 14 and c.
14
Suppose 4*x + 31 = -o + 2*o, 3*x - 4*o = -33. Let c = 11 + x. What is the greatest common factor of c and 4?
4
Let l = -2 - -4. Let d = 1 - -1. Calculate the highest common divisor of l and d.
2
Suppose -3*a - 27 = -3*g, 0 = -4*a - 0*a - 3*g - 15. Let d = a + 10. What is the greatest common divisor of d and 28?
4
Let t(l) = 2*l - 14. Let k be t(14). Calculate the greatest common factor of 112 and k.
14
Suppose -3*i = -2*m - 6*i - 11, -3*m - 3*i - 18 = 0. Let z = -3 - m. Suppose -4*c + 2*x + 11 = 5, z*x = -c + 6. What is the highest common divisor of c and 14?
2
Let g = 59 + -7. Calculate the greatest common divisor of 26 and g.
26
Let q be 2 - (4/2 - 1). Suppose 27 - 51 = -6*i. Calculate the highest common factor of q and i.
1
Suppose -171 = -3*t + 2*l, 0 = -l - l + 6. Calculate the greatest common divisor of 649 and t.
59
Suppose -4*m = -m - 5*z - 403, 5*z = -25. Calculate the highest common factor of m and 7.
7
Suppose 3 = 3*v - 18. Let q be (0 + (-290)/(-25))*-5. Let j = 93 + q. What is the greatest common factor of j and v?
7
Suppose 0 = 2*u + 5*z - 115, 3 = -z + 2*z. Suppose 5*l - u + 15 = 0. Calculate the highest common divisor of 35 and l.
7
Let u = -141 + 211. Let b(l) be the first derivative of 3*l**2/2 - 2*l + 2. Let w be b(4). Calculate the highest common factor of u and w.
10
Let i be ((-1)/(-1))/((-8)/(-24)). Suppose 2*z + 5*b - 10 = z, -2*z + 3*b + 7 = 0. Suppose 1 = 3*w - z. What is the greatest common divisor of w and i?
1
Let f be 3*(0 - (-8)/(-3)). Let c = 24 + -12. Let u = f + c. Calculate the greatest common factor of 8 and u.
4
Let k(p) = -196*p**3 + p**2 + 2*p + 1. Let o be k(-1). What is the greatest common factor of o and 56?
28
Suppose 2*m + 88 = 3*v, -3*v - m + 129 = 38. Suppose -19 = -3*y - 4*h, -2*y + h = 3*y - 24. What is the highest common divisor of v and y?
5
Let m = 20 - 7. What is the highest common factor of 65 and m?
13
Suppose 2*q + 3*q = 10. Suppose q*u + 3*w = 5, -5*u = -2*w + 7*w - 25. Suppose 15*p - 113 = 37. What is the highest common factor of u and p?
10
Let n be (-512)/(-12) - (-2)/(-3). Let z be (-1)/3 - (-86)/6. What is the highest common factor of z and n?
14
Let c be (-16)/(-6)*12/8. Suppose c*a - 105 = a. What is the greatest common divisor of a and 7?
7
Suppose d + 241 = -7*r + 2*r, -3*d + 4*r = 723. Let x = 417 + d. Let b = x - 116. What is the highest common divisor of 12 and b?
12
Suppose 0*a = -4*a. Suppose a*c + 144 = 2*c. What is the greatest common factor of c and 8?
8
Let d(a) = -a**3 - 4*a**2 + 8*a + 5. Let v be d(-5). Let s(o) = -10*o + 19. Let z be s(v). What is the greatest common factor of z and 17?
17
Suppose -2*d - 32 = -4*d - 2*c, d - 4*c - 26 = 0. Calculate the highest common divisor of 12 and d.
6
Let t be ((-77)/(-3))/(5/15). Let w(a) = a**3 - 7*a**2 + 5*a - 1. Let g be w(6). Let u = 14 + g. Calculate the highest common divisor of t and u.
7
Let o be 15/25*(0 - -5). Let l(f) = f**2 + f + 2. Let p be l(o). Let r be 3 - (1 - 0/3). Calculate the greatest common divisor of p and r.
2
Suppose 0*i + 24 = 3*i. Let r be ((-22)/(-3) + -2)*255/34. Calculate the highest common factor of r and i.
8
Suppose -42 = -t - 2*t. Let u be (-3)/6 - (-10)/4. Calculate the highest common divisor of t and u.
2
Suppose -4*y + 0 - 4 = 0. Let v be (y/3)/((-4)/48). Suppose -2*f = -v*k, -5*f - 4*k = -2*f - 10. What is the highest common factor of f and 10?
2
Let y = 47 + 61. Let h = 48 - -12. Suppose 0*i = 5*i - h. What is the greatest common factor of i and y?
12
Let h be 3*(-2)/(-4)*2. Suppose 0 = 2*s + v - 73, -h*v - 79 + 263 = 5*s. Let j be 4/(-22) + (-312)/(-22). Calculate the greatest common factor of s and j.
7
Suppose 3*d = 4*b + 84, 54 = 2*d - b - b. Suppose 2*j + 3*k - 5*k = 112, 5*k + 220 = 4*j. Calculate the greatest common divisor of j and d.
12
Let a = -94 + 134. Calculate the greatest common divisor of a and 20.
20
Suppose -2*k - 20 - 40 = 0. Let b = k - -57. Calculate the greatest common factor of 81 and b.
27
Let v be (480/28)/(-2)*7. Suppose 0 = -2*o - 10, 8 = -s - 5*o + 88. Let d = s + v. What is the greatest common divisor of d and 18?
9
Suppose -9 = -4*k + k. What is the highest common divisor of k and 6?
3
Let b be -1*0*1/(-2). Suppose b*t = 4*t - 40. Calculate the greatest common divisor of t and 50.
10
Let h(i) | {
"pile_set_name": "DM Mathematics"
} |
Round -553046.3 to the nearest ten thousand.
-550000
Round -0.00237032 to 5 dps.
-0.00237
What is -35141.05 rounded to the nearest ten?
-35140
What is -174946 rounded to the nearest 100?
-174900
Round -0.02766677 to 4 dps.
-0.0277
What is 4.667918 rounded to two decimal places?
4.67
Round -0.3030146 to 2 decimal places.
-0.3
What is -0.051129292 rounded to 4 dps?
-0.0511
What is -0.09402124 rounded to three decimal places?
-0.094
What is 0.57874 rounded to 2 decimal places?
0.58
Round 150.3373 to the nearest ten.
150
What is 20.5027 rounded to one decimal place?
20.5
Round -500.1184 to the nearest one hundred.
-500
Round 1110500 to the nearest 100000.
1100000
Round -851.776 to the nearest ten.
-850
Round 0.000001161855 to 7 decimal places.
0.0000012
What is -2.6222 rounded to one dp?
-2.6
Round -1614353 to the nearest one hundred thousand.
-1600000
What is 94226700 rounded to the nearest one hundred thousand?
94200000
Round -0.00000246956 to 7 dps.
-0.0000025
Round 0.00000287277 to 6 decimal places.
0.000003
What is 71038710 rounded to the nearest one million?
71000000
What is -0.00050798124 rounded to four dps?
-0.0005
What is 0.00828184 rounded to 4 decimal places?
0.0083
What is 3.3896134 rounded to 2 decimal places?
3.39
What is 1419.9172 rounded to 1 dp?
1419.9
What is 133547.9 rounded to the nearest 10000?
130000
Round 0.0006499348 to six dps.
0.00065
Round 173921 to the nearest 100000.
200000
What is 0.00015138577 rounded to four decimal places?
0.0002
Round 9567.67 to the nearest one thousand.
10000
Round -1.211444 to two decimal places.
-1.21
What is 0.0001969155 rounded to 5 dps?
0.0002
What is 2.10731 rounded to 2 dps?
2.11
Round 0.00001441589 to 7 decimal places.
0.0000144
Round -0.00009870382 to 5 decimal places.
-0.0001
Round 1682.92 to the nearest one hundred.
1700
What is -0.00735674 rounded to 5 dps?
-0.00736
Round -179.08933 to 1 dp.
-179.1
What is 498515500 rounded to the nearest one hundred thousand?
498500000
Round -24.87655 to 1 dp.
-24.9
What is -104596 rounded to the nearest 1000?
-105000
Round -5788610 to the nearest ten thousand.
-5790000
Round 0.00001043429 to six dps.
0.00001
Round -23709.4 to the nearest one hundred.
-23700
What is -7.2061 rounded to the nearest integer?
-7
Round 0.400648 to 2 decimal places.
0.4
What is -0.0985318 rounded to 4 dps?
-0.0985
What is 0.665297 rounded to three decimal places?
0.665
Round -198.955 to zero dps.
-199
Round -0.1763682 to four decimal places.
-0.1764
Round -1563.61 to the nearest one hundred.
-1600
What is -4182175 rounded to the nearest 100000?
-4200000
Round 0.974137 to 3 dps.
0.974
Round -0.0008095157 to seven decimal places.
-0.0008095
Round -19689200 to the nearest one hundred thousand.
-19700000
What is 0.02201014 rounded to four decimal places?
0.022
Round -0.00000546435 to six decimal places.
-0.000005
Round -19898.22 to the nearest ten.
-19900
Round 200816 to the nearest 1000.
201000
Round 302.2573 to zero decimal places.
302
What is -0.00000277896 rounded to seven dps?
-0.0000028
Round 2.765259 to two decimal places.
2.77
Round -154660540 to the nearest ten thousand.
-154660000
Round 0.00012835601 to 7 decimal places.
0.0001284
Round -3314455 to the nearest 1000000.
-3000000
Round -0.1484411 to three decimal places.
-0.148
What is 306000000 rounded to the nearest one million?
306000000
Round -0.0000006487544 to seven dps.
-0.0000006
What is 1032752000 rounded to the nearest 1000000?
1033000000
Round 0.000000845112 to seven dps.
0.0000008
Round 0.0010949199 to 4 dps.
0.0011
What is -25527.94 rounded to the nearest 1000?
-26000
What is -1218215 rounded to the nearest one thousand?
-1218000
Round 0.001379685 to 3 decimal places.
0.001
Round -72397.2 to the nearest one thousand.
-72000
Round 0.000012381973 to 7 dps.
0.0000124
What is -0.00000551389 rounded to six decimal places?
-0.000006
What is 0.0006101152 rounded to 6 dps?
0.00061
What is 1842.4153 rounded to zero dps?
1842
Round -3.2367009 to three decimal places.
-3.237
Round 47508.6 to the nearest one hundred.
47500
Round -25721400 to the nearest ten thousand.
-25720000
Round -49.208669 to the nearest 10.
-50
Round -0.0344853 to four dps.
-0.0345
Round 26.3596 to two dps.
26.36
What is 0.00000048288 rounded to seven decimal places?
0.0000005
Round -50731.07 to the nearest 10.
-50730
Round 86.99231 to the nearest integer.
87
What is -297187.16 rounded to the nearest one thousand?
-297000
What is -10.6482 rounded to one dp?
-10.6
What is 10527.403 rounded to the nearest 1000?
11000
What is -0.00011652552 rounded to six dps?
-0.000117
Round 5.0769 to 1 dp.
5.1
Round -0.0041954895 to 6 decimal places.
-0.004195
What is -423.6708 rounded to 1 decimal place?
-423.7
Round -1607.7886 to 0 dps.
-1608
Round 0.000158407 to four dps.
0.0002
What is -176468.1 rounded to the nearest one hundred?
-176500
What is 63958.32 rounded to the nearest 10?
63960
Round -0.04944024 to five decimal places.
-0.04944
Round 0.27944 to one decimal place.
0.3
Round 146.868 to the nearest 10.
150
Round -40983 to the nearest one hundred thousand.
0
What is 12432487 rounded to the nearest one hundred thousand?
12400000
What is 178.5559 rounded to 1 dp?
178.6
Round 221.71755 to zero decimal places.
222
Round -140441960 to the nearest one million.
-140000000
Round -14522.91 to the nearest 1000.
-15000
Round -156968360 to the nearest one million.
-157000000
Round 0.000003991209 to 7 decimal places.
0.000004
What is -17138140 rounded to the nearest one hundred thousand?
-17100000
What is -4.69543 rounded to three dps?
-4.695
What is -0.0017424414 rounded to six dps?
-0.001742
What is -0.007807031 rounded to 6 decimal places?
-0.007807
Round -9.646185 to the nearest integer.
-10
What is -2223413 rounded to the nearest 10000?
-2220000
Round 428895.81 to the nearest 100.
428900
What is -3.73875 rounded to two decimal places?
-3.74
What is -0.00047897337 rounded to six decimal places?
-0.000479
What is -4291876 rounded to the nearest 1000000?
-4000000
What is 0.000435598 rounded to 6 decimal places?
0.000436
Round 0.0028778 to five dps.
0.00288
What is -507.8939 rounded to the nearest 100?
-500
Round -13431680 to the nearest 1000000.
-13000000
Round -1044.04 to the nearest 100.
-1000
What is 65149800 rounded to the nearest 1000000?
65000000
What is 424.288 rounded to the nearest ten?
420
What is -3.826019 rounded to one decimal place?
-3.8
What is 13289.444 rounded to the nearest 100?
13300
What is 12762.85 rounded to the nearest 1000?
13000
Round 18806540 to the nearest 1000000.
19000000
What is -1.63955 rounded to the nearest integer?
-2
What is -289.304 rounded to the nearest integer?
-289
What is -0.0000080562 rounded to six decimal places?
-0.000008
Round -0.07649711 to 5 dps.
-0.0765
Round 0.0002967642 to six dps.
0.000297
What is 1109.196 rounded to the nearest 10?
1110
Round 56501390 to the nearest 1000000.
57000000
What is 0.0001333565 rounded to five decimal places?
0.00013
What is -0.000512547 rounded to 6 decimal places?
-0.000513
Round -0.000004331477 to six dps.
-0.000004
What is -428.095 rounded to the nearest one hundred?
-400
Round 0.0000002439602 to 6 decimal places.
0
What is 427.7482 rounded to the nearest 10?
430
What is -382.9328 rounded to 0 decimal places?
-383
What is 655.4136 rounded to the nearest 10?
660
What is -658296 rounded to the nearest one hundred thousand?
-700000
Round 0.04370172 to four decimal places.
0.0437
Round 0.000308846 to 6 dps.
0.000309
Round 381.3605 to the nearest ten.
380
What is 0.00001271393 rounded to 7 decimal places?
0.0000127
What is -0.00660253 rounded to five dps?
-0.0066
Round -0.05618458 to two dps.
-0.06
Round -10471500 to the nearest 1000000.
-10000000
What is 15816109 rounded to the nearest one hundred thousand?
15800000
Round 32490.518 to the nearest one thousand.
32000
What is -0.000005515045 rounded to 6 dps?
-0.000006
Round -0.00182445 to five decimal places.
-0.00182
What is 0.000007449315 rounded to 7 decimal places?
0.0000074
Round -0.2585798 to three decimal places.
-0.259
Round -0.000261654 to seven dps.
-0.0002617
What is 0.024922 rounded to 3 dps?
0.025
Round 342111000 to the nearest one million.
342000000
Round 0.007090309 to four decimal places.
0.0071
Round -705765300 to | {
"pile_set_name": "DM Mathematics"
} |
*2 + 5*b.
-23*b**3 + 5*b**2
Collect the terms in -2*s + 5*s - 7*s + 0*s + 2*s.
-2*s
Collect the terms in -11*t**3 + 32*t**2 - 32*t**2.
-11*t**3
Collect the terms in 35*n**3 - 59*n**3 + 25*n**3.
n**3
Collect the terms in c**2 + 0*c**2 - c**2 - 7*c**2.
-7*c**2
Collect the terms in -114*s - 7*s**3 + s**3 + 114*s.
-6*s**3
Collect the terms in 12*l - 25*l + 12*l.
-l
Collect the terms in -77*v**2 + 79*v**2 - 166*v**2.
-164*v**2
Collect the terms in 110*b**3 + 131*b**3 - 238*b**3.
3*b**3
Collect the terms in -3*s + 6*s + 8*s.
11*s
Collect the terms in q**2 + 13*q**2 + 3*q**2 + 8*q**2.
25*q**2
Collect the terms in 108*i**3 + 71*i**3 - 3*i**3.
176*i**3
Collect the terms in 286*w - 76*w - 46*w.
164*w
Collect the terms in -c - 7*c + 11*c + 0*c.
3*c
Collect the terms in -1 - 126*t**3 + 6 - 5.
-126*t**3
Collect the terms in k**3 - 11*k**3 - 3*k**3 - k**3.
-14*k**3
Collect the terms in -2*q + 232 - 702 + 238 + 232.
-2*q
Collect the terms in 48*w - 32*w**2 - 27*w - 21*w.
-32*w**2
Collect the terms in -1 - 5 + 135*s**2 + 6 - 178*s**2.
-43*s**2
Collect the terms in -1203*a + 7199*a + 4148*a.
10144*a
Collect the terms in -926*j**2 + 2*j - 2*j.
-926*j**2
Collect the terms in -3*f**2 + 106*f**3 - 102*f**3 + 3*f**2.
4*f**3
Collect the terms in -9*c**3 + 0*c**3 - 5*c**3 + 11*c**3 + 2*c**3.
-c**3
Collect the terms in -332*k - 3903*k - 549*k.
-4784*k
Collect the terms in -160*d**3 + 295*d**3 - 134*d**3.
d**3
Collect the terms in 194*c - 194*c + 108*c**2.
108*c**2
Collect the terms in -4*d**2 + 2*d**2 - 47*d + 0*d**2.
-2*d**2 - 47*d
Collect the terms in -2 + 295*r**2 + r**3 - 295*r**2.
r**3 - 2
Collect the terms in -16*i + 7*i + 8*i.
-i
Collect the terms in -78060*k**2 - 9*k**3 + 78060*k**2 + k**3.
-8*k**3
Collect the terms in -8*o**3 + 563 - 563.
-8*o**3
Collect the terms in -4 + 4 - 6*t**2 - 3.
-6*t**2 - 3
Collect the terms in 3*n**2 + 9*n**2 - 16*n**2 + 2*n**2.
-2*n**2
Collect the terms in -13*z**3 - 4*z**2 + 9*z**3 + 6*z**3 + 4*z**2.
2*z**3
Collect the terms in 54*y**2 + 56*y**2 + 52*y**2 - 158*y**2.
4*y**2
Collect the terms in -39*f + 47*f - 6*f.
2*f
Collect the terms in -20*a**2 + 25*a**2 + 95*a**2 + 44*a**2 - a.
144*a**2 - a
Collect the terms in -47*r + 7*r - 46*r.
-86*r
Collect the terms in 8 + 16*i**2 - 2 - 6.
16*i**2
Collect the terms in -13*v - 21*v - 22*v + 57*v.
v
Collect the terms in 3*c - 20 + 43 - 23.
3*c
Collect the terms in -183*u + 2 - 2 + 182*u.
-u
Collect the terms in 5*l**3 + 4*l - 4*l - 31*l**3.
-26*l**3
Collect the terms in 0*l**3 - 5818*l + 2910*l + 2908*l - 2*l**3.
-2*l**3
Collect the terms in -11 - 243*w**3 + 11 - 226*w**3.
-469*w**3
Collect the terms in 14*u + 18*u - 33*u.
-u
Collect the terms in -2*t - 42*t**2 + 2*t.
-42*t**2
Collect the terms in 4*r - 23*r - 2*r.
-21*r
Collect the terms in -20738*k**2 - 20733*k**2 + 41474*k**2.
3*k**2
Collect the terms in -23*k**2 + 83*k**2 - 41*k**2 + 79*k**2.
98*k**2
Collect the terms in 1744*w**3 - 3472*w**3 + 1738*w**3.
10*w**3
Collect the terms in 7*r - 16*r + 0*r + r + 5*r.
-3*r
Collect the terms in -182*d**2 + 1186*d**2 + 524*d**2.
1528*d**2
Collect the terms in -2*f**2 - 7*f**2 - 65 + 65.
-9*f**2
Collect the terms in -6*g**2 + 11*g**2 + 31*g**2 - g**2.
35*g**2
Collect the terms in -38*k**2 - 73 + 149 - 76.
-38*k**2
Collect the terms in 4*g**3 + 19*g**3 - g**3 - 10*g**3.
12*g**3
Collect the terms in 12*z - 6*z + 3*z + 2*z.
11*z
Collect the terms in 9*s**2 + 13*s**2 + 16*s**2.
38*s**2
Collect the terms in -3*q**2 - 3*q**2 - 12*q + 5*q**2.
-q**2 - 12*q
Collect the terms in 10*w - 15*w + 8*w + 8*w.
11*w
Collect the terms in 229765 - 229765 - 2*z**2 - 9*z**2.
-11*z**2
Collect the terms in 6*h + 2*h - 5*h.
3*h
Collect the terms in 276*f + 4 + 1 - 6.
276*f - 1
Collect the terms in -647 - 7*t**3 + 322 + 325.
-7*t**3
Collect the terms in -h**2 + h**2 + 4*h**3 - 11*h**3.
-7*h**3
Collect the terms in -13*o + 9*o + 4*o - 12*o - 15*o.
-27*o
Collect the terms in -471 - 475 - 3*p + 946.
-3*p
Collect the terms in -36975 - d**2 + 36975.
-d**2
Collect the terms in 11*r + 2 - 1 - 3 - r.
10*r - 2
Collect the terms in -4 - 9*a + 26*a - 15*a.
2*a - 4
Collect the terms in 13*f**2 - 50*f**2 - 21*f**2.
-58*f**2
Collect the terms in -1 + 1 + 29*f**3.
29*f**3
Collect the terms in -3 - 19*w + 18*w + 3.
-w
Collect the terms in 15*u**2 - 60*u**2 + 21*u**2 + 20*u**2.
-4*u**2
Collect the terms in 9*f**2 + 12*f + 9*f - 4*f.
9*f**2 + 17*f
Collect the terms in 1 + 3 + 7 - f - 11.
-f
Collect the terms in -2*t**3 - 9*t + 9*t + t**2 - 6*t**2.
-2*t**3 - 5*t**2
Collect the terms in -4 + 4 - 14*g + 4*g.
-10*g
Collect the terms in -n + 14 - 22 + 8.
-n
Collect the terms in -1 + q**2 - 10 + 11.
q**2
Collect the terms in 21*v**3 + 24*v**3 - 32*v**3.
13*v**3
Collect the terms in 1 + 0 - 8*d - 8 + 2.
-8*d - 5
Collect the terms in 15*x**2 - 67*x**3 - 15*x**2.
-67*x**3
Collect the terms in -219*n**2 + 461*n**2 - 240*n**2.
2*n**2
Collect the terms in x**2 - 355*x + 68*x + 65 - 65.
x**2 - 287*x
Collect the terms in 36*n**2 - 18*n**2 - 14*n**2.
4*n**2
Collect the terms in -4 - 2*f**2 + 5*f**2 - 3*f**3 - 3*f**2.
-3*f**3 - 4
Collect the terms in -42*b + 14*b - 21*b.
-49*b
Collect the terms in -5*b**2 + 181*b**3 - 185*b**3 + 5*b**2.
-4*b**3
Collect the terms in -18*z**2 - z**2 - 2*z**2 + 25*z**2.
4*z**2
Collect the terms in 13*i + 2*i - i.
14*i
Collect the terms in -10*c**3 + 38*c**3 + 32*c**3.
60*c**3
Collect the terms in 7*k**2 - 2*k**2 - 5*k**2 + 73*k**3.
73*k**3
Collect the terms in -7*r**2 - 22 + 22 + 4*r**2.
-3*r**2
Collect the terms in -3*d + 8*d - 8*d - 3*d.
-6*d
Collect the terms in 14 + 0*c - 14 - 2*c.
-2*c
Collect the terms in 9 - z - 147 - 34.
-z - 172
Collect the terms in 1 + 11*f**3 - 4 + 3.
11*f**3
Collect the terms in 46*g**3 + 44*g**3 - 92*g**3.
-2*g**3
Collect the terms in 0*h**2 + 5720*h**3 + 0*h**2.
5720*h**3
Collect the terms in -140 + 4*u**3 + 0*u**3 + 48 - 3*u**3.
u**3 - 92
Collect the terms in 21*n - 3 - 2*n**3 + 2 + 1.
-2*n**3 + 21*n
Collect the terms in 11*v**2 + 378 - 378.
11*v**2
Collect the terms in -158*d**2 - 106*d**2 - 27*d**2.
-291*d**2
Collect the terms in 2*w**3 - 8*w**3 + w**3.
-5*w**3
Collect the terms in 4*d - 2*d + 7*d + 2*d - 4*d.
7*d
Collect the terms in -10*s + 10*s - 168*s**3 + 171*s**3.
3*s**3
Collect the terms in 3 - 11*a - 7*a - 3.
-18*a
Collect the terms in -39403*r + 0*r**2 + 12*r**3 + 39403*r + 0*r**2.
12*r**3
Collect the terms in 2*d**3 + 9*d**3 + 17*d**3 - 44*d**3.
-16*d**3
Collect the terms in -19*m**2 + 1072 - 1072.
-19*m**2
Collect the terms in 386*u - 957*u - 2 + 4964*u.
4393*u - 2
Collect the terms in 51*m**2 - 24*m**2 - 30*m**2.
-3*m**2
Collect the terms in 106*o**2 - 196*o**2 + 94*o**2.
4*o**2
Collect the terms in 26 + 2*u**2 - 50 + 24.
2*u**2
Collect the terms in 13*p**2 - 3 + 3 - 2*p**2.
11*p**2
Collect the terms in -295*a**2 - 2*a - a + 2*a.
-295*a**2 - a
Collect the terms in 12*o**2 + 3*o**2 + 0*o**2 + 18*o**2.
33*o**2
Collect the terms in -34 + 15 + 19 - 4*o**2.
-4*o**2
Collect the terms in 7*q**3 + 23*q - 23*q.
7*q**3
Collect the terms in k**2 - 35*k**3 + 0*k**2 - k**2.
-35*k**3
Collect the terms in 26*a**3 - a**3 - 6*a**3 - 8*a**3 - 14*a**3.
-3*a**3
Collect the terms in 21*y + 24*y - 5 - 44*y - 4.
y - 9
Collect the terms in -13*h**2 - 33*h + 33*h.
-13*h**2
Collect the terms in -15*w**3 + 11*w**3 - 23*w**3.
-27*w**3
Collect the terms in 0 - 1 - 3 + 6 + 17*n.
17*n + 2
Collect the terms in 0 + 0 - 11*t**3 + 7*t**3.
-4*t**3
Collect the terms in 15*g**3 - 2*g**3 + 2*g**3.
15*g**3
Collect the terms in -120*c + 49*c - 122*c.
-193*c
Collect the terms in -33 + 3*n - 2*n + 63.
n + 30
Collect the terms in 10*p**2 + 17430 - 17430.
10*p**2
Collect the terms in 70 + g - 22 - 28 - 20.
g
Collect the terms in -236*z**3 + 86*z**3 + 73*z**3 + 79*z**3.
2*z**3
Collect the terms in -1698*o**2 + 1698*o**2 + 4*o**3.
4*o**3
Collect the terms in 2 + 138*d**2 - 139*d**2 - 2.
-d**2
Collect the terms in 0*b + 0*b + 0*b + 7*b**2.
7*b**2
Collect the terms in -8*d + 26*d + 2*d - 11*d - 12*d.
-3*d
Collect the terms in 5177*d - 1729*d - 1729*d - 1721*d.
-2*d
Collect the terms in f**3 + 20*f**3 - 2*f**3 - 16*f**3.
3*f**3
Collect the terms in 64*h**2 + 57*h**2 + 61*h**2 - 17*h**2.
165*h**2
Collect the terms in -2*g**3 - g**3 + g**3.
-2*g**3
Collect the terms in -3*b - 6*b - 12*b.
-21*b
Collect the terms in 21 + 157*m | {
"pile_set_name": "DM Mathematics"
} |
PM and 9:23 PM?
33
What is 528 minutes after 1:25 PM?
10:13 PM
What is 526 minutes after 1:32 AM?
10:18 AM
What is 496 minutes before 3:51 PM?
7:35 AM
What is 457 minutes before 9:22 PM?
1:45 PM
What is 482 minutes before 5:53 PM?
9:51 AM
How many minutes are there between 7:30 PM and 6:45 AM?
675
How many minutes are there between 2:31 PM and 9:25 PM?
414
What is 704 minutes before 5:30 PM?
5:46 AM
How many minutes are there between 10:17 AM and 5:43 PM?
446
What is 520 minutes before 7:22 AM?
10:42 PM
What is 670 minutes after 5:23 AM?
4:33 PM
How many minutes are there between 9:50 AM and 5:27 PM?
457
How many minutes are there between 12:49 AM and 3:04 AM?
135
How many minutes are there between 12:43 AM and 7:47 AM?
424
How many minutes are there between 12:06 AM and 5:51 AM?
345
How many minutes are there between 11:10 AM and 12:10 PM?
60
How many minutes are there between 10:15 PM and 10:03 AM?
708
How many minutes are there between 7:55 AM and 6:55 PM?
660
How many minutes are there between 3:43 PM and 5:14 PM?
91
What is 573 minutes before 5:44 PM?
8:11 AM
What is 102 minutes before 5:24 PM?
3:42 PM
How many minutes are there between 5:38 PM and 10:43 PM?
305
What is 388 minutes after 8:56 PM?
3:24 AM
How many minutes are there between 9:57 AM and 11:19 AM?
82
What is 517 minutes after 7:14 AM?
3:51 PM
How many minutes are there between 5:14 PM and 11:26 PM?
372
What is 689 minutes before 7:09 PM?
7:40 AM
What is 700 minutes after 10:28 AM?
10:08 PM
What is 636 minutes after 6:25 PM?
5:01 AM
How many minutes are there between 4:22 AM and 12:01 PM?
459
What is 372 minutes before 9:42 PM?
3:30 PM
What is 418 minutes before 5:00 PM?
10:02 AM
What is 657 minutes after 1:33 AM?
12:30 PM
What is 508 minutes before 11:08 PM?
2:40 PM
How many minutes are there between 4:10 AM and 12:38 PM?
508
How many minutes are there between 12:39 PM and 11:40 PM?
661
How many minutes are there between 12:10 AM and 8:31 AM?
501
What is 186 minutes before 6:00 AM?
2:54 AM
What is 524 minutes before 3:45 PM?
7:01 AM
What is 482 minutes before 9:25 PM?
1:23 PM
How many minutes are there between 9:25 PM and 12:31 AM?
186
How many minutes are there between 8:38 AM and 4:32 PM?
474
What is 568 minutes before 8:50 PM?
11:22 AM
How many minutes are there between 5:20 AM and 4:21 PM?
661
How many minutes are there between 8:23 PM and 3:22 AM?
419
What is 89 minutes before 12:09 AM?
10:40 PM
What is 63 minutes after 2:41 PM?
3:44 PM
How many minutes are there between 8:51 PM and 8:40 AM?
709
What is 582 minutes before 8:51 PM?
11:09 AM
What is 202 minutes before 9:40 PM?
6:18 PM
How many minutes are there between 1:21 PM and 9:11 PM?
470
How many minutes are there between 10:54 AM and 1:30 PM?
156
How many minutes are there between 1:01 PM and 12:19 AM?
678
What is 493 minutes before 9:07 AM?
12:54 AM
How many minutes are there between 5:45 AM and 3:31 PM?
586
How many minutes are there between 7:41 PM and 11:05 PM?
204
What is 246 minutes before 6:36 AM?
2:30 AM
What is 35 minutes before 7:49 AM?
7:14 AM
How many minutes are there between 8:24 PM and 4:06 AM?
462
What is 657 minutes before 3:14 PM?
4:17 AM
What is 595 minutes before 11:51 AM?
1:56 AM
What is 628 minutes after 8:03 PM?
6:31 AM
What is 665 minutes before 11:16 PM?
12:11 PM
What is 429 minutes before 9:13 AM?
2:04 AM
How many minutes are there between 10:39 AM and 9:48 PM?
669
What is 388 minutes after 9:35 AM?
4:03 PM
What is 90 minutes before 7:00 AM?
5:30 AM
How many minutes are there between 7:24 PM and 9:57 PM?
153
What is 462 minutes before 7:39 PM?
11:57 AM
What is 388 minutes after 2:07 AM?
8:35 AM
What is 538 minutes before 5:32 AM?
8:34 PM
What is 304 minutes before 3:41 AM?
10:37 PM
How many minutes are there between 9:22 PM and 2:27 AM?
305
What is 77 minutes before 4:18 AM?
3:01 AM
What is 302 minutes after 9:32 AM?
2:34 PM
How many minutes are there between 3:01 PM and 1:11 AM?
610
What is 599 minutes after 10:37 PM?
8:36 AM
What is 59 minutes before 5:32 AM?
4:33 AM
How many minutes are there between 8:49 PM and 1:23 AM?
274
How many minutes are there between 9:23 AM and 4:11 PM?
408
What is 470 minutes after 2:24 AM?
10:14 AM
What is 253 minutes after 8:43 AM?
12:56 PM
What is 204 minutes after 8:58 AM?
12:22 PM
How many minutes are there between 9:01 PM and 4:35 AM?
454
How many minutes are there between 11:57 AM and 1:04 PM?
67
How many minutes are there between 9:43 AM and 11:50 AM?
127
What is 710 minutes after 3:57 AM?
3:47 PM
What is 406 minutes after 3:09 PM?
9:55 PM
What is 111 minutes before 8:54 PM?
7:03 PM
How many minutes are there between 10:10 PM and 4:51 AM?
401
What is 117 minutes after 7:38 PM?
9:35 PM
What is 332 minutes before 3:13 AM?
9:41 PM
What is 9 minutes after 8:12 AM?
8:21 AM
How many minutes are there between 8:22 PM and 11:12 PM?
170
How many minutes are there between 5:58 PM and 5:30 AM?
692
How many minutes are there between 2:41 PM and 11:54 PM?
553
What is 49 minutes before 12:26 PM?
11:37 AM
What is 10 minutes after 8:05 AM?
8:15 AM
What is 428 minutes before 7:17 AM?
12:09 AM
What is 623 minutes after 1:08 PM?
11:31 PM
How many minutes are there between 11:31 PM and 5:43 AM?
372
What is 685 minutes after 10:44 AM?
10:09 PM
How many minutes are there between 10:18 PM and 6:06 AM?
468
How many minutes are there between 9:07 AM and 8:22 PM?
675
How many minutes are there between 9:09 PM and 6:50 AM?
581
What is 473 minutes before 11:51 AM?
3:58 AM
What is 195 minutes before 4:02 AM?
12:47 AM
What is 54 minutes before 6:43 PM?
5:49 PM
How many minutes are there between 5:39 AM and 10:30 AM?
291
How many minutes are there between 10:33 AM and 9:54 PM?
681
How many minutes are there between 6:34 PM and 4:58 AM?
624
What is 689 minutes before 12:53 PM?
1:24 AM
What is 236 minutes before 9:54 AM?
5:58 AM
How many minutes are there between 8:50 PM and 1:15 AM?
265
What is 416 minutes after 5:54 AM?
12:50 PM
How many minutes are there between 12:22 AM and 9:38 AM?
556
What is 217 minutes before 8:53 AM?
5:16 AM
How many minutes are there between 11:36 PM and 8:13 AM?
517
What is 423 minutes before 2:50 AM?
7:47 PM
How many minutes are there between 8:45 AM and 6:15 PM?
570
How many minutes are there between 7:33 PM and 2:21 AM?
408
What is 60 minutes after 10:45 AM?
11:45 AM
What is 60 minutes before 11:14 AM?
10:14 AM
How many minutes are there between 8:12 AM and 7:24 PM?
672
What is 428 minutes after 8:52 AM?
4:00 PM
How many minutes are there between 2:52 PM and 11:38 PM?
526
What is 459 minutes after 5:08 AM?
12:47 PM
How many minutes are there between 12:49 PM and 4:00 PM?
191
What is 89 minutes after 6:01 PM?
7:30 PM
What is 473 minutes before 7:49 AM?
11:56 PM
How many minutes are there between 10:12 PM and 6:52 AM?
520
What is 51 minutes after 8:44 AM?
9:35 AM
How many minutes are there between 5:46 PM and 6:25 PM?
39
How many minutes are there between 1:58 PM and 8:57 PM?
419
What is 194 minutes after 6:37 AM?
9:51 AM
How many minutes are there between 4:59 AM and 7:21 AM?
142
How many minutes are there between 11:46 PM and 5:40 AM?
354
What is 599 minutes after 10:56 AM?
8:55 PM
How many minutes are there between 1:07 AM and 1:06 PM?
719
What is 250 minutes after 5:46 AM?
9:56 AM
How many minutes are there between 7:34 AM and 12:29 PM?
295
How many minutes are there between 4:55 PM and 10:19 PM?
324
What is 170 minutes before 12:31 PM?
9:41 AM
How many minutes are there between 8:29 AM and 9:10 AM?
41
What is 2 minutes after 5:45 PM?
5:47 PM
What is 418 minutes before 3:43 PM?
8:45 AM
How many minutes are there between 8:39 PM and 5:55 AM?
556
How many minutes are there between 10:52 PM and 2:06 AM?
194
What is 535 minutes after 3:44 PM?
12:39 AM
What is 691 minutes before 5:12 PM?
5:41 AM
What is 144 minutes before 7:59 PM?
5:35 PM
What is 135 minutes after 7:33 AM?
9:48 AM
How many minutes are there between 5:51 PM and 3:47 AM?
596
What is 443 minutes after 7:27 PM?
2:50 AM
How many minutes are there between 5:33 AM and 1:26 PM?
473
How many minutes are there between 8:27 PM and 9:20 PM?
53
What is 388 minutes after 11:55 PM?
6:23 AM
How many minutes are there between 11:46 AM and 11:56 AM?
10
What is 690 minutes after 8:54 AM?
8:24 PM
How man | {
"pile_set_name": "DM Mathematics"
} |
a for a.
2
Solve y = -4*q + 25, 0 = 3*y + 13*q - 12*q - 20 for y.
5
Solve -2 = p + 3*k, -5*p - 5*k + 5 = -5 for p.
4
Solve -3*d - 2*d = 3*o - 20, 4*d = -3*o + 19 for o.
5
Solve -8 = -2*s + 3*t - 7*t, 3*s - 1 = 5*t for s.
2
Solve 4*d + 2*p + 9 + 17 = 0, 0 = -3*p - 15 for d.
-4
Solve -13 = -5*b + i, b + i + 13 = -4*i for b.
2
Solve 0 = 5*c + 4*l - 2 + 9, 5*c - 2*l - 11 = 0 for c.
1
Solve -3*p + 2*y + 5 = 0, 7*p - 2*y - 9 = 8*p for p.
-1
Solve -3*d = -3*l - 8 - 1, 0 = -4*l + 3*d - 11 for l.
-2
Solve 0 = -2*p, -v - 171*p = -172*p - 5 for v.
5
Solve 18 = -29*x + 26*x + 4*u, -24 = 4*x - 4*u for x.
-6
Solve 3*d + 3 - 23 = -5*t, t - 16 = -3*d for d.
5
Solve -5*h + 1 = f, 0*f = -2*h + 5*f - 5 for h.
0
Solve -5 = -4*l - 100*h + 95*h, 0 = 2*l + 5*h + 5 for l.
5
Solve 7 = -3*p + 5*o, 0*p + 2*p - 3*o + 4 = 0 for p.
1
Solve 5*c + 4*o - 2 = 0, 4*o + 0 + 6 = -c for c.
2
Solve 2*c = -7*m + 11*m - 8, -5*m + 20 = -5*c for c.
-4
Solve 2*h = 4*f - 10 + 32, f + 5*h = 0 for f.
-5
Solve 5*w + 3*m = -0*m - 10, -2*w + 3*m + 17 = 0 for w.
1
Solve -5*u = 5*o + 15, 4*u + 1 = 2*o + 7 for u.
0
Solve -5*g + 9*g - 2*k = -2, 0 = -3*g + k - 1 for g.
0
Solve 2*w = 3*q + 6 + 2, -1 = 3*q + 5*w for q.
-2
Solve -3*a = -6*k - 18, k - 42 = -2*a - 40 for a.
2
Solve 5*q + 31 = -4*x, 8*q = 3*x + 12*q + 24 for x.
-4
Solve 0 = 5*h + i - 8, -h - 23 + 35 = -5*i for h.
2
Solve 4*p - 3*a = -5, -3*a = 5*p + 14 + 26 for p.
-5
Solve 5*j = 0, c + 19 = j + 18 for c.
-1
Solve -14 = -2*n - 2*l, 2*n = -0*n + 4*l + 2 for n.
5
Solve 44*w + 5*c - 10 = 39*w, -4*w = 3*c - 4 for w.
-2
Solve 0 = 3*k - 5*n + 4*n - 12, -2*n - 20 = -5*k for k.
4
Solve -r = -4*j + 1, r = -5*j - 0*j + 8 for j.
1
Solve 0 = 6*o - 7*o - 3*q - 1, 0 = 2*o + 4*q + 2 for o.
-1
Solve 0 = 2*l + 2*m + 14, -5*m - 26 = -39*l + 41*l for l.
-3
Solve -m = 2*m - 2*u + 9, -4*m - 2*u = 26 for m.
-5
Solve -4*y - c = -10, 2*y - 3*c = 5 + 7 for y.
3
Solve 5*o = -4*b + 3*o + 2, 2*b + 8 = -4*o for b.
2
Solve -2*m - 22 = 4*l, -5 = 2*l - m - 4 for l.
-3
Solve 5*c - 2 = -3*w, 2*w + 0*c = -3*c + 1 for w.
-1
Solve -10*s - 6 = -5*l - 13*s, -3*s = 3*l for l.
3
Solve -4 = -3*g + 4*v, -5*g + 2*v - 4*v = 28 for g.
-4
Solve 4*s = -4, 10*g + 5*s - 5 = 15*g for g.
-2
Solve -4*s + 2 = 2*c, -s - 3*c = 2*s for s.
1
Solve -m + 5 = -2*l, 3*l + 20 = -5*m + 9*m for l.
0
Solve 4*k = 2*k + 3*j + 9, -j - 3 = 2*k for k.
0
Solve 0 = 4*z, -4*u + 4*z = 2*z + 4 for u.
-1
Solve 4*h + 16 = 0, 4*a + 0*h = 3*h + 32 for a.
5
Solve 5*u + 2*l - 17 = -7, 4*u - 3*l = -15 for u.
0
Solve 5*r + 3*k + 25 = 0, -k = -5*r - 20 + 15 for r.
-2
Solve -47*m = -42*m - 3*l, -5*m = l - 20 for m.
3
Solve 0*j + 5*j + 2*l - 5 = 0, -3*l = -15 for j.
-1
Solve 0 = -2*o - f + 7, 0 = 2*f - 1 - 1 for o.
3
Solve -5*q = 4*d + 17, 3*q + 2 = -2*d - 7 for d.
-3
Solve -t - 2*t = 5*g + 1, -5*g + 2 = 4*t for g.
-2
Solve 2*g - 2 = 3*t, 29 - 27 = -2*g + t for g.
-2
Solve -7 + 19 = 2*c - 4*h, 3 = -h for c.
0
Solve -2*x - 7*a = -2*a + 21, -27 = 4*x + 5*a for x.
-3
Solve -3*y = -j + 1 + 6, 0 = 5*y + 5*j + 25 for y.
-3
Solve -2*w = v - 1, -w = -276*v + 271*v + 16 for w.
-1
Solve 5*o = 8*o + 9, 2*o + 12 = -3*b for b.
-2
Solve -2*r - 18 = 4*y, -5*r + 5*y = 2*y + 19 for r.
-5
Solve -2*m = -3*q - 9, -6*m + 9*m + q - 8 = 0 for m.
3
Solve -3*i = 5*p + 12, -2*p + 3*p = -3*i for p.
-3
Solve 0 = 164*y - 165*y, 3 = j - 5*y for j.
3
Solve -3 = z + 4*j, 23*z - 20*z + j = 2 for z.
1
Solve -3*v + 3 = -d - 4, 2*d + 5*v - 8 = 0 for d.
-1
Solve -t - 3*d + d + 9 = 0, 3*d - 10 = -5*t for t.
-1
Solve 12*w = 3*h + 13*w + 3, 2*h + 30 = 4*w for h.
-3
Solve 0 = 6*r - r, 2*x = 2*r - 10 for x.
-5
Solve -8 = -2*j + 2*p, -3*j + 5*p + 22 = -0*j for j.
-1
Solve 3*f = b + 2, -6*f - 11 = -5*f + 2*b for f.
-1
Solve -4*v - z = -2, z = 5*v - 10 + 12 for v.
0
Solve -2 = 2*p + 2*g, -5*p = -6*p - 5*g + 7 for p.
-3
Solve 0*b - 3*b = -4*u - 4, -2*b = -3*u - 4 for b.
-4
Solve -5*g - 2*c - 1 = 16, 0 = g + 2*c + 5 for g.
-3
Solve 5*n - q + 5*q + 27 = 0, -3*n + 5*q + 6 = 0 for n.
-3
Solve 5*f = 4*c + 7, 14*c + 2*f = 18*c - 2 for c.
2
Solve -4*a + 6 = 5*c, -4*c + 5*a - 1 = -14 for c.
2
Solve 0 = 5*h + 3*d - 19, 0 = -4*h - 0*h + 2*d + 2 for h.
2
Solve -2*v + 2*q - 11 = 5, -5*v - 5*q - 20 = 0 for v.
-6
Solve -4*u + 21 = 4*g - 9*u, 1 = -g - 5*u for g.
4
Solve 2*k = -4*m - 4, 0*k = 4*m + 4*k for m.
-2
Solve -2*o - 2*l - 14 = 0, -o - 5*l - 25 = -2 for o.
-3
Solve 5*m + 3*w = 4*w + 22, m + 1 = 2*w for m.
5
Solve 0 = u - 3*g, 0 = -4*u + 7*u - g - 8 for u.
3
Solve 3*u = -2*f - 3, 6 = f + 3*f + 2*u for f.
3
Solve 0*v - 4*v - 12 = -3*j, -v = 3 for j.
0
Solve -7*d + 10*d + 22 = 5*p, -3*p = 2*d + 2 for p.
2
Solve -5*d - 7*a = -11, -d + 2*a - 8 = -0*a for d.
-2
Solve 3*h = 5*w - 9, -5*w - 4*h = 6 + 6 for w.
0
Solve -i - 3*s + 2 = 2*s, -2*i + 2*s = 8 for i.
-3
Solve -2*a + 2*b = 0, 0 = -2*a - a + 5*b + 6 for a.
-3
Solve -8 = -i - m - 3, -2*i - 4*m = -16 for i.
2
Solve -4*t + 5*w = 5, -w = -2*w - 3 for t.
-5
Solve y + 2*w - 7 + 12 = 0, 3*y = 4*w - 15 for y.
-5
Solve q - 2*j = -14, 195*q - 190*q + 5*j = 5 for q.
-4
Solve 4*j - 8 = 7*b - 3*b, -6 = -b - j for b.
2
Solve -5 = -i + 5*q - 0*q, 2*i - 4*q = 10 for i.
5
Solve -3*z + d + 10 - 21 = 0, 3*z = -3*d - 3 for z.
-3
Solve -3 = -3*v - 3*a + 3, -5*v - 8 = -a for v.
-1
Solve -2*w = 3*m - 22, 4*m = -4*w + 12 + 24 for w.
5
Solve 3*k + 0*k = -2*i, 0 = -k - 5*i for k.
0
Solve b - 4*x = -13, 8*b - 23 = 7*b - 5*x for b.
3
Solve 0 = 5*p + f + 15 - 59, 0 = -p - 4*f + 24 for p.
8
Solve 5*q - 3*w = -25, q = -4*w + 15 + 3 for q.
-2
Solve -4*s - 2*o + 5 = -13, 2*s - 5 = 3*o for s.
4
Solve -5*q + 4*w = -3, 4*w - w - 21 = -4*q for q.
3
Solve 4*o + 5*l - 37 = 0, -4*l = 3*o - 23 - 6 for o.
3
Solve -2*t = 2*d + 14, -6*d + d - 8 = -4*t for d.
-4
Solve 0 = -2*w - 2*f + 8, 4*f - 44 + 48 = w for w.
4
Solve -2*m - y = 1, 0 = -m + 3*y + 2*y - 28 for m.
-3
Solve -226*t + 2*n = -224*t + 2, 5*t - 4*n = -6 for t.
-2
Solve -4*o + 8*o + 5 = 5*f, 2*f - 2 = 3*o for f.
1
Solve 6*f - 4*f + 2*f = 0, 4*b - 5*f = 0 for b.
0
Solve c + 2*c = v + 19, 0 = 5*c - 25 for v.
-4
Solve 5*f + o + 27 = 0, -o + 16 - 13 = -f for f.
-5
Solve 4*w - 2*l = -15 + 17, -5*w + 4*l = 5 for w.
3
Solve -18 - 8 = 4*i - 5*a, 3*a = 6 for i.
-4
Solve -5*k - 21 = q - 0*q, -3*k - 4*q + 1 = 0 for k.
-5
Solve -20*r = -21*r + 5*y - 25, 5*y = -4*r for r.
-5
Solve -12 = 4*l - 4*w, 4*w - 7 - 5 = -4*l for l.
0
Solve p + r = 1, -3*p - 13 = -5*r - 48 for p.
5
Solve -r - a = 5, 1 = -3*r - 5*a - 16 for r.
-4
Solve 0 = 5*i - p + 16, 10*i = 5*i - 4*p - 36 for i.
-4
Solve -3*a + 6 = -4*m, -9*a = -10*a + 2*m + 4 for a.
-2
Solve -2*k + 8 = 2*z - 5*z, -5*z = 10 for k.
1
Solve -5*q - 5 = 4*c + 17, -3*c - q - 11 = 0 for c.
-3
Solve 4*t + 5*c - 40 = 0, 12*t - 17*t + 17 = -2*c for t.
5
Solve v + 2*v - 31 = -5*n, 0 = -4*n + v + 18 for n.
5
Solve -4*g = 2*i - 2 + 4, 4*g + i = 3 for g.
2
Solve 19*x - 17 = -4*l + 20*x, 2*l = -4*x - 14 for l.
3
Solve 8*d - 3*d = 2*z + 18, 10 = 5*d for z.
-4
Solve -5*w = n + 7, 25*w = 5*n + 20*w - 25 for n.
3
Solve 5*q = -f - 28, -5*f = -14*q + 4*q - 35 for q.
-5
Solve m + 5*t - 3 = 0, 156*t - 157*t = -m + 9 for m.
8
Solve -i + 9 = 5*f, 437*f - 439*f = 3*i - 14 for i.
4
Solve 0 = 2*v - 3*s + 6, -v - s + 6 = -3*v for v.
-3
Solve 0 = 4*w - h, 2*h = -5*w - 0*h - 13 for w.
-1
Solve -17*v + 19*v + 4*h + 24 = 0, 0 = -4*v + 5*h - 9 for v.
-6
Solve 3*l - 4*t = 2*l - 10, 0 = 3*l - 5*t + 16 for l.
-2
Solve -20 = -4*q + 2*p, -4*p + 3 = 3*q + 10 for q.
3
Solve -f + 5*m - 7 = 0, 2*m + m = 3*f - 3 for f.
3
Solve 0 = -3*r - 18, -12*r = 3*x - 13*r for x.
-2
Solve 5 = -3*a - x, 4*x + 0 = -3*a - 11 for a.
-1
Solve -24 = -4*f - 5*p, 4*f + 0*p + p = 8 for f.
1
Solve 5*f = 4*h - 5, -4*f + 2*h - 1 = -f for f.
3
Solve -24 = 4*i + u, -15*i + 18*i - 2*u + 7 = 0 for i.
-5
Solve 14 = n - 4*u, -5*n + 2*u - 5*u = -1 for n.
2
Solve 5*j = -5*y + 5, y + 19*j - 5 = 14*j for y.
0
Solve h - 7 = 5*l - 7*l, 7 = 3*l + 5*h for l.
4
Solve 3*y + 24 = -3*q, -2*q + 10*y = 13*y + 21 for q.
-3
Solve -11*g - 2 = -10*g, -5*x - g + 13 = 0 for x.
3
Solve 4*p - 143 = -5*x - 139, 5*p = -5*x for x.
4
Solve 3*r - 46 + 40 = -4*p, -r = 4*p - 10 for p.
3
Solve 5*i + 28 = -3*s, -3*i - 4*s + 964 = 983 for i.
-5
Solve -4*v + 0*v = 4, -2*z = -5*v - 15 for z.
5
Solve r - 4*g = -8, 3*r + 13 = -30*g + 31*g for r.
-4
Solve 0 = -4*o + 4*w - 28, 3*o + o - | {
"pile_set_name": "DM Mathematics"
} |
-j*y = -5 - 7. Suppose 2*u - y*u = -40. List the prime factors of u.
2, 5
Let y = 136 - 70. Suppose -3*a - y = -3*r, -r - 3*a = -a - 37. Let f = r + -6. What are the prime factors of f?
3, 7
Suppose -176 = 3*m - 14*m. Suppose 0 = 4*n - m, -3*w + 0*w + 4*n + 20 = 0. What are the prime factors of w?
2, 3
List the prime factors of 8*(1320/36)/((-4)/(-3)).
2, 5, 11
Let w(n) = -n**2 - 7*n - 4. Let f be w(-5). Suppose -f*m + 153 - 1119 = 0. Let z = -92 - m. List the prime factors of z.
3, 23
Suppose -t + 0 + 11 = 0. Let i be (t - -1)*1/1. Suppose 4*l + 4 - i = 0. List the prime factors of l.
2
Suppose -4*t + 4174 = 2*z - 8*t, 0 = -z + 3*t + 2086. What are the prime factors of z?
2089
Let k(g) = -g**3 - 13*g**2 + 13*g + 9. Let u be k(-14). Let v = -51 - u. Let l = -4 - v. What are the prime factors of l?
2, 5, 7
Let p = 52 - 53. List the prime factors of (-1 + 28 - p)*(-15)/(-12).
5, 7
What are the prime factors of -8 + 3475/(-2 + 7)?
3, 229
Suppose y + 3 = 2*q + 2*y, 13 = 2*q - y. Suppose -2*u - 3*j = -364, q*u - j = u + 535. What are the prime factors of u?
179
List the prime factors of -41 + 40 + 4848/(3 + -1).
2423
Let f = 134 + -134. Suppose -3*q = -f*q + 2*g - 542, 3*q - 522 = 3*g. What are the prime factors of q?
2, 89
Let b(p) = 2*p**3 + 45*p**2 - 25*p - 13. Let u be b(-23). Let t be 40/(-12)*24/(-5). Suppose 0 = t*x - 15*x - u. What are the prime factors of x?
3, 11
Suppose -4*n + 4574 - 1034 = 0. What are the prime factors of n?
3, 5, 59
Let s be 4/(6*4/30). Suppose -7*m = -s*m - 146. What are the prime factors of m?
73
Suppose -2*f = v - 2, 2*v - f - 6 = -v. Let j be 16/(-5)*(-5)/v. What are the prime factors of (37/(-2))/((-4)/j)?
37
Let o = 286 - -17. List the prime factors of o.
3, 101
Suppose 5*h - 300 = -0*h. Suppose y - h = 5*y. Let l = y + 31. What are the prime factors of l?
2
Let m = 28 - 18. Suppose -5*b + 15 = -m*b. What are the prime factors of 928/80 - b/(-5)?
11
Suppose 0 = -4*q + d + 3, -2*d - 8 = -2. Let i be (-2)/6 + 20/6. Suppose -j = 5*n - 81, -2*j + 6*n - i*n + 123 = q. List the prime factors of j.
2, 3, 11
Suppose -3200 = -8*u + 2312. List the prime factors of u.
13, 53
Let z(l) = -18*l + 58. List the prime factors of z(-4).
2, 5, 13
Suppose 11*x - 319 = -242. List the prime factors of x.
7
Suppose 0 = -3*o - 4*o + 42. Suppose 41 = x + 2*g, 25 = -o*g + g. What are the prime factors of x?
3, 17
Let b(i) = 58*i + 248. What are the prime factors of b(10)?
2, 3, 23
Let o(p) be the first derivative of p**3/3 + 4*p**2 - 4. List the prime factors of o(8).
2
Suppose -3*b + 23 = -10. Suppose -3*g + 4*g = b. List the prime factors of g.
11
Suppose x + 9*x = -260. Let y = x - -130. What are the prime factors of y?
2, 13
Let i(d) = -3*d**3 - 7*d**2 + 9*d + 21. List the prime factors of i(-6).
3, 11
Let k(v) be the second derivative of 4*v**3 - 3*v**2/2 - 11*v. List the prime factors of k(2).
3, 5
Suppose -5*v + 4*j - 73 = 0, 2*v - 11 = 3*v + j. Let p be (2/3)/(-6 + 64/12). Let q = p - v. What are the prime factors of q?
2, 3
Suppose -f + 80 = -l - 451, 3*f = 5*l + 1603. List the prime factors of f.
2, 263
Suppose -10 = -5*q, 0 = 2*l + 5*q - 125 - 163. List the prime factors of l.
139
Let k = 89 - 84. Suppose -k*p = -p - 5*u - 611, 3*p + u = 463. List the prime factors of p.
2, 7, 11
Let m = 21 + -17. Suppose m*k + 0*k - 24 = 0. List the prime factors of k.
2, 3
Suppose -48*n = -53*n + 4*d + 14394, 2*n = 5*d + 5744. List the prime factors of n.
2, 11, 131
Suppose g - 5 - 2 = 0. Let m(z) = z**2 + 2*z - 3. Let u be m(-4). Suppose g*f = 3*f - b + 305, 3*f - u*b = 223. What are the prime factors of f?
2, 19
Let g(o) = o + 3. Let u be g(7). Let m be (-4)/u - 644/(-35). Suppose 2*y - 60 = -3*y - 5*n, -m = -y - 4*n. What are the prime factors of y?
2, 5
List the prime factors of (-54123)/(-24) + 0 + (-18)/144.
5, 11, 41
Let i = -3226 - -6032. What are the prime factors of i?
2, 23, 61
Let g(y) = y**3 + 6*y**2 + 5*y + 2. Suppose 0 = 2*o, k + 5 = -0*k + 3*o. Let z be g(k). Suppose 3*n - f + 3*f = 28, 5*n - z*f = 52. List the prime factors of n.
2, 5
Let v(i) = 81*i. Suppose 0 = -f + d - 0*d - 2, 15 = 5*d. What are the prime factors of v(f)?
3
Suppose -2*n + 3*h + 4011 = 0, -5*h = -4*n - 4*h + 7997. List the prime factors of n.
2, 3, 37
Let b = 196 - 137. List the prime factors of 2 + b + 2 + 1.
2
Suppose -28*n + 25*n + 2914 = 4*i, 0 = 3*i - 12. List the prime factors of n.
2, 3, 7, 23
Let n = 30 - 16. Suppose c = -3*o - 4, 0 = 4*c + 2*o + n + 22. What are the prime factors of ((-8)/(-20))/(-1)*c?
2
Suppose 428 = 5*c - 2*n - 1699, -5*n - 855 = -2*c. List the prime factors of c.
5, 17
Let z(g) be the first derivative of g**3/3 - 4*g**2 + 13*g + 34. What are the prime factors of z(-6)?
97
Suppose 173 = -2*r + 3*f, r - 3*f + 86 = -f. Let m be (-4)/(-22) + (-336)/r. Suppose m = 2*u - 2. What are the prime factors of u?
3
Suppose -7106 = -2*j + 3*b - 1146, 2*b = 8. List the prime factors of j.
2, 1493
Suppose -2*a = -4*l + 44, -l + 4*a = 3*a - 13. Suppose l*o - 4*o - 1065 = 0. List the prime factors of o.
3, 71
Let m(p) = 3*p**2 - 5*p + 8. Let z be m(4). Suppose 0 = -0*w + 4*w + z. List the prime factors of (10 + w)/((-1)/(-28)).
2, 7
Let y = -24 - -29. Suppose -y*a + 40 = -0. List the prime factors of a.
2
Suppose -4*o + 26 = 10. What are the prime factors of o + -3 - 20*-1?
3, 7
Let f(n) = 10*n - 10. Let d(j) = -j**3 - 24*j**2 - j - 20. Let o be d(-24). What are the prime factors of f(o)?
2, 3, 5
Let c be 2*2/(8/60). Suppose 0 = -o - 5*v + 28, 0 = -5*o - 3*v - 0*v + c. Suppose 0 = 2*h + 3*g + 40 - 139, o*g - 195 = -4*h. What are the prime factors of h?
2, 3
Let q be (3/15*11)/((-7)/(-35)). What are the prime factors of 4/22 + -139*(-6)/q?
2, 19
Let l(x) = -2*x**2 - 6*x + 16. Let a be l(7). Let c = -63 - a. List the prime factors of c.
61
Let k(x) = 73*x - 146. List the prime factors of k(10).
2, 73
Suppose 966 = 3*k + 4*q - 207, k + 2*q - 389 = 0. What are the prime factors of k?
5, 79
Let n = -1476 + 3354. List the prime factors of n.
2, 3, 313
Suppose -128*s - 11192 = -132*s. What are the prime factors of s?
2, 1399
Suppose 36*v - 14406 = 15*v. List the prime factors of v.
2, 7
Suppose 0 = -4*q + k + 14 + 2, -3*q - 4*k + 31 = 0. Suppose q*g + 91 = 1011. List the prime factors of g.
2, 23
Let n = 67 + -24. Let d = -15 + n. Suppose 0 = 5*k - d - 202. What are the prime factors of k?
2, 23
Suppose -21*n = 5735 - 42527. List the prime factors of n.
2, 3, 73
Suppose -9*l + 9 = -36. Suppose -3*z = -8*z - 3*h + 596, -3*z + 364 = l*h. List the prime factors of z.
2, 59
Let u(m) = -m**3 - 7*m**2 - m. Let q be u(-7). Suppose -q - 13 = -5*k. Let d = k - 1. List the prime factors of d.
3
Let w(g) = -g**2 + 3*g + 4. Let o be w(3). Suppose -4*b + 12 = -4*p, -p - 2*p = -4*b + o. What are the prime factors of p/3*6/(-4)?
2
Suppose -3*b + 3560 = -2*i, 7*b + 5*i - 4785 = 3*b. What are the prime factors of b?
2, 5, 7, 17
Let m(q) = q**3 - 6*q**2 - 6*q - 4. Let a be m(7). Suppose -a*d = -5 - 1. Suppose x - d*x = -18. List the prime factors of x.
2, 3
Let h(s) = s**2 + 8*s + 15. Suppose -5 = 4*x + 23. Let u be h(x). Let t = u - 2. What are the prime factors of t?
2, 3
Let p(u) = -u - 12. Let l be p(-17). Suppose l*t = 745 - 275. What are the prime factors of t?
2, 47
Let y be 1 - (-7 + 4 - (-1 + 1)). Suppose -13 = 4*j + 3. What are the prime factors of -1*y*23/j?
23
Suppose 78 + 38 = c. Suppose -15*l + 16*l = c. What are the prime factors of l?
2, 29
Suppose 0 = p + 2*d - 3021, -2*p - 124*d = -122*d - 6052. List the prime factors of p.
7, 433
Let z(s) = 6*s - 2. Let x = -7 + 13. Let m be x + 7/(21/9). What are the prime factors of z(m)?
2, 13
What are the prime factors of (-430)/45*-105*(4 + -1)?
2, 5, 7, 43
Suppose 0 = -61*r + 67*r - 312. List the prime factors of r.
2, 13
Let j(x) = x - 9. Let h be j(14). Suppose -5*c - 246 = -2*v, 2*v + h*c = v + 138. What are the prime factors of v?
2
Let n = 1687 - 329. What are the prime factors of n?
2, 7, 97
Let m be 6/(-3)*(-1)/2. What are the prime factors of (1 - 1) + (154 - 7)/m?
3, 7
Suppose -3*w = 4*p - 3572, 0 = -6*p + 7*p + 2*w - 898. What are the prime factors of p?
2, 5, 89
Let o(n) = 224*n**3 - 2*n**2 + 1. Let s be o(1). Suppose 257 = 5*d - f + 19, -5*d + s = 4*f. List the prime factors of d.
47
Let f = 95 | {
"pile_set_name": "DM Mathematics"
} |
-2.
-7
-124 - -106 - (1 + -3)
-16
(1 - -4) + (25 - (29 - 9))
10
Evaluate (-14 - -13) + (-10 - 0 - -5).
-6
What is (161 - 167) + (-5 - -20)?
9
What is 21 + -19 - (2 - (0 - -7))?
7
What is the value of -1 - (2 - (16 - 1 - 1) - 22)?
33
What is the value of (11 - 12) + -52 + 22?
-31
Evaluate (32 + 4 - 45) + 21.
12
What is (3 - 28) + (13 - 0)?
-12
What is the value of -12 - (2 - 12) - (16 + -4 + 5)?
-19
(-5 - (-7 - (-13 - -5))) + 8 + -4
-2
9 + (-35 - -12) + 12 + 5
3
2 + (-2 - 8) - (-18 + (7 - -11))
-8
What is 10 + -5 + 3 - (0 - 8)?
16
-7 - (18 - 1 - -6)
-30
Calculate -8 - (-4 + 4 - 5) - (5 - 9).
1
-17 - (-5 + 9) - -16 - (20 - -1)
-26
What is the value of 290 + -286 - (7 + -1 - -1)?
-3
Evaluate (-24 - 0) + (-62 - -67) + 7 + -7.
-19
What is the value of 2 + 8 + (-4 - 1 - -2) + -19?
-12
Evaluate 0 + (-1 - -5 - (3 + 7 - 3)).
-3
Evaluate -31 - (1 + (9 - (15 + -11))).
-37
Calculate -11 - -7 - (-7 + (-10 - -23)).
-10
What is 5 + -19 - (9 - 10)?
-13
-92 - -85 - (2 + -19)
10
Calculate (-1 - (14 + 1)) + -503 + 521.
2
What is the value of 1 + 4 + -3 + 3 - (1 - -6)?
-2
Evaluate -1 - 0 - ((-10 - -1) + (-82 - -83)).
7
What is (766 - 809) + 0 + 41?
-2
What is 10 + -3 - (-24 - -43)?
-12
What is (-29 - -16) + 5 + -17?
-25
Calculate -7 - (-13 - (2 - 3)) - 20.
-15
What is 1 + 0 + -5 + -7 - 2?
-13
What is the value of -15 + 20 + -11 - (-36 - -11)?
19
What is 12 - (8 - 6) - (1 + 10)?
-1
What is -3 + -1 + -14 + (12 - 4) + 12?
2
(0 - (-8 + 2 + 16) - -6) + 18
14
Calculate (1 - 9) + (38 - 44).
-14
Evaluate -3 + 0 - (-40 + 20 + -6).
23
What is the value of (-8 - -23 - 23) + 37?
29
Evaluate 4 + (8 - (17 + (-14 - -10))).
-1
What is 76 - 75 - (-1 - -16)?
-14
What is 11 - (7 + -3 + 6 + 7)?
-6
Evaluate (-8 - -2) + 38 + -35 + 11.
8
Evaluate 13 + -17 + (-6 - -21).
11
What is 2 + 9 + -4 - (2 + 3)?
2
What is (-11 - (-3 - -11 - 8)) + 22 - 11?
0
What is the value of (3 - 9) + 9 + 6 - 4?
5
What is the value of (-16 - -8) + (3 - -1) + 8 - -11?
15
Evaluate (2 - -2) + 45 + -43 - -10.
16
Evaluate -3 + -1 + 164 + -156 + -4.
0
What is the value of -48 - -44 - (-2 - 6)?
4
Calculate (10 + -42 - -25) + -8 + 3.
-12
Evaluate -4 - (19 + -21 + -14 + 1 + 4).
7
What is the value of -15 - (-11 - -15 - 4)?
-15
What is the value of -10 - (-25 - (-15 - (14 + -15)))?
1
What is the value of 6 + (-1 + 2 - (-16 + 20)) - 3?
0
What is -23 - (-26 - 2) - 9?
-4
What is the value of 0 - 13 - (133 + -140)?
-6
5 + 0 + (-3 + 36 - 34) - 23
-19
What is the value of -9 - ((1 - -6) + (-25 - -16))?
-7
6 + 3 + -9 + -28 - (-9 + 2)
-21
What is 8 - (-18 - (-21 + -16))?
-11
What is the value of (0 - (-9 - (8 + -4))) + (-3 - 2)?
8
What is the value of (12 - 2) + 23 + -39 + 10 - -5?
9
What is the value of 88 + -65 + 7 + (7 - 15)?
22
Calculate 30 + -1 + (-11 - (4 + -9)) - 6.
17
What is the value of (-3 - -41) + -77 + 15?
-24
-5 - (53 + -59 - (0 - -2))
3
What is (2221 - 2187) + 4 + (1 - 3)?
36
Evaluate -4 + -4 + (57 - 52).
-3
-20 + 22 - 19 - 0
-17
Calculate -21 + (7 - 9) + (-3 - -11) + 11.
-4
What is the value of 16 + (11 + 1 - (10 + (16 - 12)))?
14
Calculate -7 + (-7 - -2) + 20 + -21.
-13
What is 4 - (-4 - (-9 - (6 + -2)))?
-5
What is the value of (8 - 12 - -14 - 15) + 0 + 16?
11
-6 - (1 + -4 - -1 - 6)
2
What is the value of -41 + 2 + (32 - (-22 + 44))?
-29
What is -11 - ((-21 - -10) + -1) - -5?
6
What is -5 + (-4 - -8) - 16 - (-3 - -1)?
-15
Evaluate 9 + (-8 - (15 + -6 - (-13 - -18))).
-3
Calculate (-43 - 0) + (1044 - 1016).
-15
What is the value of 3 - (-44 + 39 - (-7 + -3))?
-2
What is the value of -21 + -1 + 3 + (-18 - -22)?
-15
What is 8 + 3 - 11 - -5?
5
What is (-2 - 8) + (-30 - -24) + 17?
1
Evaluate 5 + 19 + -36 - (0 - 3).
-9
What is -25 + 11 - (1 + -22)?
7
Calculate (1 - -6) + (5 - -11 - 23) - -5.
5
Calculate -5 + 7 + 3 + -4 - 12.
-11
Evaluate 0 + -6 + -5 + 3 + 7.
-1
Evaluate -13 + (-3 - -5) + (52 - 52).
-11
What is 11 + (0 - 13) + 8 + 2?
8
What is the value of -3 + (3 - -3 - (18 - (1 - -8)))?
-6
What is the value of 8 + -2 + 5 - 39?
-28
What is the value of 319 - 322 - (1 - 26)?
22
What is the value of 1 - (9 + -3 + -10)?
5
-1 + 5 + -11 + -1 + 19
11
-9 - (3 + (-7 - ((-12 - 11) + 2)))
-26
Evaluate -4 + 2 + -4 + 7 - 14.
-13
Evaluate 19 + 2 + (-34 - -25) - -1.
13
What is the value of 195 + -162 - (17 + 1)?
15
Evaluate -31 + (-11 - 11) + 43 - (0 - 31).
21
Calculate (-2 - -1) + 48 + -35.
12
Calculate (-10 - -13) + (1 - (-2 + -8) - -1).
15
What is (13 - 26) + 48 + 1 + (-10 - 2)?
24
Calculate 24 - (70 + -36 - -14).
-24
-1 + 9 - (-8 - (-2 + 5) - -10)
9
What is 11 - 7 - (-6 - 1)?
11
(-33 - -6) + 10 + -6 + 8 + 5
-10
10 + -36 + 17 + 27
18
What is -74 + 77 - (0 + -1 + -6)?
10
Evaluate (-27 + (6 - -5) - -11) + (-2 - -23).
16
(5 - 7 - -6) + -16
-12
(-13 - (-9 + -17 + -3)) + 2
18
Calculate 15 + (-19 - -10 - 1).
5
What is the value of 13 - (9 + 11 + -30 + -4)?
27
Calculate -80 + 77 - (-1 + 5 + -27).
20
What is the value of -2 - (4 + (-12 - 1) - -9)?
-2
2 + (0 + 17 + -12 - (-1 - -4))
4
Evaluate -13 + (24 + 7 - 19).
-1
Calculate 2 - (2 - -1 - (5 + (-4 - -1))).
1
Calculate -21 - (-23 + 18) - -31.
15
Evaluate 40 + 0 + -15 + 3 + -8.
20
What is 2 + (4 - (-33 - -23))?
16
Evaluate 2 + 10 + -37 + (1 - 1).
-25
Evaluate -11 + 3 + 5 + (-1 - -9).
5
What is the value of (15 - (18 + -17)) + -5?
9
Evaluate (-51 + 34 - 16) + 57.
24
What is (2 - (7 - -2) - 8) + 5?
-10
-32 - (1 - (7 - -11))
-15
-2 + 12 + 1 + -8 + (-4 - 0)
-1
Calculate 44 - 14 - (-45 - -38).
37
Calculate 6 - (19 - 2 - (48 - 46)).
-9
Calculate (-25 + 0 + 34 - 8) + -1 + 18.
18
Calculate (27 - (32 + -9)) + 17.
21
9 - 6 - (-9 + (-7 - -8))
11
What is 12 + -46 + 42 + (-7 - 1)?
0
(-16 - (-16 - (-8 + (6 - 6)))) + 17
9
What is -4 + (7 - -1) + (-2 - (-13 - -14))?
1
What is -33 + 56 - (53 - 9)?
-21
1 - (-8 - (-28 + -4 + 2 + 2))
-19
What is -13 - (24 + -45 + 18) - (22 - -1)?
-33
What is 1 - 1 - (-20 + -1) - (17597 - 17589)?
13
Calculate -7 - ((35 + -44 - (2 - 7)) + -18).
15
What is 9 + (9 - 1) + (-4 - 13) + 6?
6
What is the value of -18 + 19 - (7 + 1) - (-10 - -4)?
-1
-6 + -9 + (9 + 1 - -4)
-1
What is the value of 21 - 31 - -35 - (13 + 0)?
12
Calculate -3 - -5 - (-1 - -2) - 10.
-9
What is -4 + (-13 - -25) - 3 - (8 + -1)?
-2
What is the value of 8 + -8 + -5 + 1?
-4
What is (0 - 2) + 57 + -55 - 17?
-17
What is the value of -10 + 5 - (-26 - -13) - (-2 + -7)?
17
Calculate (1 - (-10 - (1 + 0))) + 7.
19
What is the value of -35 + -13 - (45 + -82)?
-11
Evaluate -4 + -15 + 13 - -20 - 24.
-10
(5 + -14 - -2) + (19 - (9 + -2))
5
What is 7 - 1 - (4 + 9 + (10 - 10))?
-7
Calculate -9 + (-20 - -13 - -46).
30
What is -5 + (-7 - ((10 - 10) + -2))?
-10
61 + -49 - (0 - -14)
-2
Evaluate 21 + -26 + -5 + 26.
16
Calculate 2 + 3 - (5 - -11 - 12).
1
Evaluate 3 + 41 + (-27 - -13 - -1).
31
-11 + 15 + -4 - (-8 - 2)
10
(-11 - (-2 - -3)) + 70 + -65 + 30
23
What is the value of (6 - -10) + -8 - (10 + -15)?
13
-73 + (-33 + 71 - 4)
-39
What is the value of -3 + 4 + 6 - (-3 + -7 + 12)?
5
-6 - (-4 - (-17 + 13) - (-1 - -6))
-1
Evaluate 0 - 3 - (28 + (-60 - -32)).
-3
What is the value of -23 + (-12 - -25) - -15?
5
What is (-1 - (0 + 5)) + (11 - 12 - 4)?
-11
Calculate -14 - (-19 + (-5 - -12) + 3).
-5
Evaluate 3 + (4 - 22) + 9 + (-3 - -3).
-6
Evaluate -14 - -7 - (-28 + (2 - 2 - -4)).
17
What is -47 + 42 + -14 - 2?
-21
Evaluate 1 + -26 + 29 - (1 - 0).
3
What is -17 - (1 + 9 + (-12 + -9 - -12))?
-18
What is the value of 10 - (-7 + 0 + -10 + 0 + 13)?
14
Calculate (-10 - -7 - -13) + -3.
7
What is (-11 - (-4 - (-9 + 0 - -5))) + 3?
-8
What is the value of -28 - (22 + (-10 - 24))?
-16
Evaluate (-1 - (18 - (-4 + 9) - 8)) + 28.
22
Calculate 32 + -1 + (4 - 6) + 4091 + -4088.
32
What is the value of 14 - (8 - 6) - 29?
-17
What is 50 + -50 - (-1 - 1)?
2
Evaluate (6 - 1) + 81 + -92.
-6
Evaluate 6 - (7 + 0) - -7 - 5.
1
Evaluate 12 + -9 + 3 - 7 - -5.
4
-5 + 1 - -7 - (-3 + -12 + 5)
13
-45 + 67 + -28 + -21
-27
Calculate 6 - ((-4 - 5 - -5 - 1) + -3).
14
Evaluate -18 - (-215 + 225 - (22 - 0)).
-6
What is 7 - ((2 - (-2 + 12)) + -86 + 87)?
14
Calculate -12 + -16 + (-9 - -8) + 1.
-28
What is the value of 2 + (-1 - 3 - (-1 + 8 - 14))?
5
-6 + -4 + (-19 - -31)
2
-51 - -18 - (-11 - 4)
-18
What is the value of -10 - (-7 + -1 + -1 + 4) - -19?
14
Evaluate -4 - ((7 - 13) + (-3 - -7 - 4)).
2
-12 + (-7 - -9) + 4 - 3
-9
What is 2 + -1 + (-6 - (5 + -16))?
6
Calculate 3 | {
"pile_set_name": "DM Mathematics"
} |
ermine -v(m) - 4*x(m).
-m + 5
Suppose -5*b - 2*k + 64 = 0, 0 = k + 2 - 4. Let a(i) = -14*i**2 + 2*i. Let d(c) = -c**2. What is b*d(g) - a(g)?
2*g**2 - 2*g
Let y(d) = -3 - 10 + 2*d - 5*d**2 + d**2 + 20. Let k = -9 + 4. Let o(m) = 2*m**2 - m - 4. Calculate k*o(b) - 3*y(b).
2*b**2 - b - 1
Let a(n) = 4*n**3 - 4*n**2 - 3*n - 3. Let r(d) = -7*d**3 + 7*d**2 + 5*d + 5. Let u(s) = -s**2 + 7*s - 7. Let v be u(5). Determine v*r(h) + 5*a(h).
-h**3 + h**2
Let h(s) = 5*s + 8. Suppose -36 = 4*u - 0*m + 2*m, 5*u + 3*m + 47 = 0. Let f(c) = -4*c - 7. Give u*f(q) - 6*h(q).
-2*q + 1
Let m = -130 - -147. Let d(i) = 11*i. Let r(q) = -4*q. Determine m*r(w) + 6*d(w).
-2*w
Let s(i) be the first derivative of 5*i + 1. Let a(u) = -6. Let j(m) = 4*a(m) + 5*s(m). Let g = 7 + -8. Let d(y) = 2*y + 8. Determine g*d(x) + 6*j(x).
-2*x - 2
Let z(g) = 3*g**2 - 19*g + 3. Let j(l) = 5*l**2 - 28*l + 5. Calculate 5*j(n) - 8*z(n).
n**2 + 12*n + 1
Let x(i) = i**2 + 3*i. Let w be 2 + 7 + -3 - 1. Let b(l) = -7*l + l - l - l**2 + w*l. Determine 4*b(t) + 3*x(t).
-t**2 + t
Let r(a) = -13*a - 4. Let d(q) = q + 7. Let m be d(-6). Let i(y) = -2*y + 0*y - 2*y + y - m. Give -9*i(p) + 2*r(p).
p + 1
Let l be ((-21)/18)/((-11)/66). Let t(r) = 13*r - 5. Let g(b) = -19*b + 7. Give l*t(i) + 5*g(i).
-4*i
Let j(c) be the first derivative of 2*c**3 - 7*c**2/2 - 2*c + 2. Let i(g) = -7*g**2 + 8*g + 2. Let m be ((-12)/15)/((-4)/30). Calculate m*j(p) + 5*i(p).
p**2 - 2*p - 2
Let z(c) = 5*c**3 - 5*c - 5. Let j(n) = -16*n**3 + 14*n + 14. What is 3*j(q) + 8*z(q)?
-8*q**3 + 2*q + 2
Let s(i) = -4*i + 1. Let d(o) = 14*o + 5. Let g(x) = 13*x + 4. Let t(r) = 6*d(r) - 7*g(r). Let b(v) = v**2 - v + 4. Let w be b(2). Give w*t(k) - 11*s(k).
2*k + 1
Let m(k) be the second derivative of k**3/6 + 10*k. Let d(o) = 2*o. Calculate -d(f) + 4*m(f).
2*f
Let h(z) = 11*z**3 - 2. Let n(j) = 11*j**3 - 3. Determine 3*h(b) - 2*n(b).
11*b**3
Let d(k) = 5*k - 4. Let x(m) = -9*m + 7. Calculate 10*d(r) + 6*x(r).
-4*r + 2
Let k(j) = -4*j**2 - 6*j + 1. Let a(l) = 17*l**2 + 25*l - 5. Let g(f) = -2*a(f) - 9*k(f). Let v(d) = 2*d**2 + 5*d + 1. Give -3*g(w) + 2*v(w).
-2*w**2 - 2*w - 1
Let s(q) = 3 - q + 2 - 6. Let m(a) = 2*a**2 + 4*a + 4. Give m(l) + 3*s(l).
2*l**2 + l + 1
Let l(a) = -4*a + 6. Let z(s) = -5*s + 7. Let w(r) = 2*r + 6. Let q be w(0). What is q*z(u) - 7*l(u)?
-2*u
Let m(k) = 11*k**3 - 17*k**2 + 3*k + 35. Let o(a) = -4*a**3 + 6*a**2 - a - 12. Calculate -6*m(u) - 17*o(u).
2*u**3 - u - 6
Let g(h) = -2*h**2 - 12*h + 12. Let j(z) = -13*z**3 - z**2 + z + 1. Let m be j(-1). Let n(u) = -u**2 - 5*u + 5. Calculate m*n(b) - 5*g(b).
-2*b**2
Suppose 2*o + 1 = 3*o. Let m(y) be the second derivative of y**4/12 + y. Let u(t) = 5*t**2 - 2*t + 2. Determine o*u(l) - 3*m(l).
2*l**2 - 2*l + 2
Let m(k) = 3*k**2. Let y(l) = -24*l**2 + 1. Let u(z) = -6*m(z) - y(z). Let v(s) = s**2. Let o be -2 - -1 - (-1 - -1). Give o*u(w) + 5*v(w).
-w**2 + 1
Let x(l) = 15*l**3 + 7*l**2 + 4*l + 10. Let z(d) = 10*d**3 + 5*d**2 + 3*d + 7. Determine -5*x(o) + 7*z(o).
-5*o**3 + o - 1
Let i(l) = l + 1. Let a(g) = g**2 + 7*g + 12. Let r(d) = 3*d + 6. Let z(u) = 2*a(u) - 5*r(u). Give 4*i(b) + z(b).
2*b**2 + 3*b - 2
Let x be 6/(-4)*30/9. Let k(o) = 2*o**3 - 4*o**2 + 4*o. Let g(s) = s - 7*s - 3*s**3 - 2*s**2 + 8*s**2. Calculate x*g(n) - 7*k(n).
n**3 - 2*n**2 + 2*n
Let x(j) = 7*j + 5. Let b = 65 + -71. Let a(d) = -d - 1. Let m be a(4). Let y(n) be the third derivative of -n**4/3 - n**3 + n**2. Calculate b*x(o) + m*y(o).
-2*o
Let f(o) be the second derivative of -5*o**3/6 - 3*o**2 + 8*o. Let q(t) = -t - 1. Give -f(l) + 4*q(l).
l + 2
Let j(f) = -1 - 3*f**2 - 5*f**2 + 4*f + 3*f**2 + 0*f**2. Let m(v) = -v**2 + v - 1. Give -j(s) + 3*m(s).
2*s**2 - s - 2
Let i(m) = -15*m**2 - 4*m - 4. Let w(v) = 44*v**2 + 11*v + 11. Calculate -11*i(t) - 4*w(t).
-11*t**2
Let b(h) = 3*h**2 - 9. Let z(l) = -4 + 4 - 3 + 4. Give b(a) + 9*z(a).
3*a**2
Let w(t) = 3*t. Let q(r) = -r. Let j(p) = p**3 + 6*p**2 + 3*p. Let n be j(-3). Let k be n/(-4) + 3/6. Determine k*q(x) - w(x).
x
Let f(b) = -b**2 + b + 1. Let l(p) = -9*p**2 + 6*p + 7. Let c(m) = -10*m**2 + 0*m + 4 + 3 + 5*m. Let j(y) = -2*c(y) + 3*l(y). Calculate -6*f(n) + j(n).
-n**2 + 2*n + 1
Suppose -5*p + 21 - 1 = 0. Let b(c) = -c. Let f(n) be the first derivative of n**2 + 1. What is p*b(v) + f(v)?
-2*v
Let y(i) = -2*i**2 - 4*i + 1. Let j(d) be the first derivative of -5*d**3/3 - 11*d**2/2 + 3*d + 4. What is 4*j(f) - 11*y(f)?
2*f**2 + 1
Let z(j) = -j + 1. Let m(b) = b**3 + 7*b**2 - 8*b - 1. Let f be m(-8). Let p(r) be the second derivative of -r**3/3 + 2*r**2 - 5*r. Calculate f*p(u) + 4*z(u).
-2*u
Let m(u) = 1. Let f(p) = 2*p + 1. Give f(b) + 2*m(b).
2*b + 3
Let y(v) = 2*v - 6 + 6*v**2 + 2*v + 2*v + v**2. Let r(f) = -f**2 - f + 1. Determine -6*r(p) - y(p).
-p**2
Let t(b) = 2*b + 8. Let d(n) = -n - 3. Calculate 7*d(k) + 2*t(k).
-3*k - 5
Let w(s) = -13*s - 5. Let h(m) = -14*m - 6. Calculate 4*h(p) - 5*w(p).
9*p + 1
Let v(d) = -61*d + 15. Let n(l) = -31*l + 8. Calculate 11*n(i) - 6*v(i).
25*i - 2
Let w(m) be the second derivative of -m**5/20 - m**4/12 + m**3/6 - m**2/2 - 14*m. Let q(z) = 4*z**3 + 5*z**2 - 5*z + 5. Determine q(n) + 5*w(n).
-n**3
Let j(f) = -f**3 + 2*f. Let c(y) = -2*y**3 + 3*y. Determine 2*c(d) - 3*j(d).
-d**3
Let s(m) = 15*m**2 + 2*m - 9. Let f(t) = 8*t**2 + t - 5. Suppose 0 = -5*h + 26 + 29. Give h*f(w) - 6*s(w).
-2*w**2 - w - 1
Let q(h) = 3*h**2 - 3. Let y = 16 + -19. Let g(r) = 3*r**2 - 2. Determine y*g(k) + 2*q(k).
-3*k**2
Let p(n) = -3*n**2 + 1. Let d(r) be the first derivative of 10*r**3/3 + r**2/2 - 4*r - 4. Calculate -2*d(g) - 7*p(g).
g**2 - 2*g + 1
Let z(l) = 3. Let a(t) = t**2 + 9*t - 1. Let y be a(-10). Let u = y - 9. Let n(r) = 0 - r + u - 4. Determine -2*n(f) - 3*z(f).
2*f - 1
Let r(f) = 2*f - 4. Let j(y) = y**2 - 6*y + 4. Let o be j(4). Let g(u) = -2*u - 3. Let m(k) = 5*k + 9. Let l(h) = 8*g(h) + 3*m(h). Calculate o*l(t) - 3*r(t).
-2*t
Let o(l) be the first derivative of 10*l**3/3 + 5*l**2/2 + 5*l + 21. Let n(i) = -11*i**2 - 6*i - 6. Calculate -5*n(d) - 6*o(d).
-5*d**2
Suppose 61 = 4*i - 11. Let a(r) = 5*r**2 - 4. Let h(k) = k**2 - 1. Calculate i*h(c) - 4*a(c).
-2*c**2 - 2
Let d(i) = -2*i**2 - 5*i - 3. Let q(t) = t**3 + t**2 + t + 1. Give d(j) + 2*q(j).
2*j**3 - 3*j - 1
Let s(k) = k + 3. Let y(i) be the third derivative of -i**4/8 - 4*i**3/3 - 15*i**2. Give 11*s(d) + 4*y(d).
-d + 1
Let s(h) = -1. Let k(c) = -2*c - 1. Let m = 0 - -1. Let z(y) = y**2 - 4*y - 7. Let g be z(5). Calculate g*s(w) + m*k(w).
-2*w + 1
Let g(c) = -c**3 + c**2 + c. Let q(z) = -3*z**3 + 12*z**2 + 12*z. Calculate -12*g(n) + q(n).
9*n**3
Let o(t) = 2187*t**2 - 2196*t**2 + 0*t - 5*t. Let c(g) = 6*g**2 - 2*g**2 + 0*g**2 + 2*g. What is -7*c(p) - 3*o(p)?
-p**2 + p
Let w(j) = -3*j + 7*j - j**2 + 4 - 5. Let k be w(3). Suppose -3*i + 14 = k. Let z(l) = 5*l**2 + 4*l. Let m(c) = -c**2 - c. What is i*m(g) + z(g)?
g**2
Let n(d) = -6*d**2 + 7*d + 3. Let x(i) = -4*i**2 + 5*i + 2. Let r = 4 - -5. Suppose r = 2*s - 1. Suppose 0 = v - s - 0. Determine v*n(l) - 7*x(l).
-2*l**2 + 1
Let y be 48/(-32)*8/6. Let v(z) = 2*z. Let r(q) = -15*q. Determine y*r(k) - 14*v(k).
2*k
Let d(z) = z**3 + 6*z. Let w(a) = -5*a**3 - 7*a**2 + 14*a + 7. Let h(m) = 2*m**3 + 3*m**2 - 7*m - 3. Let j(u) = -7*h(u) - 3*w(u). What is -7*d(c) + 6*j(c)?
-c**3
Let c(w) = -14*w - 1. Let s(l) = -70*l - 4. Determine -11*c(y) + 2*s(y).
14*y + 3
Let u(b) be the third derivative of -b**6/20 - b**5/6 - b**3/2 + 35*b**2. Suppose 0 = 2*h - 6*h + 8. Let g(d) = -2*d**3 - 3*d**2 - 1. Calculate h*u(j) - 7*g(j).
2*j**3 + j**2 + 1
Let b(d) = 36*d**3 - 21*d**2 - 21*d + 21. Suppose 8*a - 52 = -5*a. Let l(n) = -7*n**3 + 4*n**2 + 4*n - 4. Calculate a*b(y) + 21*l(y).
-3*y**3
Let f(j) = -48*j**2 - 6*j - 6. Let l(w) = -w**2 + w + 1. Give f(z) + 6*l(z).
-54*z**2
Let o(p) = p**2 - 1. Let y(f) = -13*f**2 - 2*f + 20. Let r(l) = 4*l**2 + l - 7. Let i(k) = 8*r(k) + 3*y(k). Determine -i(j) - 5*o(j).
2*j**2 - 2*j + 1
Let t(u) = -u**2 + 1. Let h = -66 - -57. Let p(s) = -5*s**2 - s + 4. Calculate h*t(i) + 2*p(i).
-i**2 - 2*i - 1
Let q be (3 + -2)/((-1)/(-5)). Let d(o) = -4*o + 5. Let k(r) = -17*r + 11. Let c(a) = 26*a - 16. Let f(y) = -5*c(y) - 8*k(y). Calculate q*f(g) + 8*d(g).
-2*g
Let h(v) = -4*v. Let r(g) = g. Calculate -3*h(t) - 8 | {
"pile_set_name": "DM Mathematics"
} |
.
-13000000
What is 0.00015806591 rounded to seven dps?
0.0001581
Round -94202440.9 to the nearest ten thousand.
-94200000
What is 126.81951 rounded to two decimal places?
126.82
Round 0.1002435235 to 4 dps.
0.1002
What is 102.184044 rounded to 1 decimal place?
102.2
Round -0.05601704 to 3 decimal places.
-0.056
Round -0.0002097728314 to 5 dps.
-0.00021
What is -580975527.6 rounded to the nearest one million?
-581000000
What is -235.8385359 rounded to the nearest 10?
-240
Round -0.00206075638 to 4 dps.
-0.0021
What is 0.034937813 rounded to four dps?
0.0349
What is -0.150094507 rounded to 3 dps?
-0.15
Round 3.31803209 to 0 dps.
3
What is -10.92434943 rounded to 4 decimal places?
-10.9243
Round 0.0144398215 to 3 decimal places.
0.014
What is 0.0220745248 rounded to three decimal places?
0.022
What is 0.2669429956 rounded to four decimal places?
0.2669
What is 0.00380142223 rounded to four dps?
0.0038
What is -72.53126 rounded to 0 dps?
-73
What is -53.8967252 rounded to zero dps?
-54
Round -0.0032718469 to five dps.
-0.00327
What is 0.114119606 rounded to two dps?
0.11
Round -21.596345 to the nearest 10.
-20
Round 54050.73 to the nearest 10000.
50000
Round 0.0000079801743 to six dps.
0.000008
What is -668853590 rounded to the nearest 1000000?
-669000000
What is 0.263838743 rounded to two dps?
0.26
What is 31732327.2 rounded to the nearest 1000000?
32000000
Round -0.0000657742542 to 7 dps.
-0.0000658
Round -0.03557379667 to six dps.
-0.035574
What is 1.0168691 rounded to 0 decimal places?
1
Round 137.065273 to two decimal places.
137.07
What is -0.028011667 rounded to 5 decimal places?
-0.02801
Round -483473736 to the nearest 1000000.
-483000000
What is 34605.30114 rounded to the nearest 10?
34610
Round 0.04146021216 to 4 dps.
0.0415
What is -180607.894 rounded to the nearest 10?
-180610
What is -0.000300575785 rounded to six decimal places?
-0.000301
What is 357899.451 rounded to the nearest 100?
357900
Round 502.661892 to one dp.
502.7
Round 144.6048199 to two decimal places.
144.6
Round 0.012221566932 to 4 dps.
0.0122
What is 0.1217879367 rounded to four dps?
0.1218
What is 0.0587847397 rounded to five dps?
0.05878
Round 3748513.71 to the nearest one hundred thousand.
3700000
What is 462.416098 rounded to the nearest 100?
500
What is 2351.807188 rounded to zero decimal places?
2352
Round -0.98768188 to 2 dps.
-0.99
What is 3.21421551 rounded to the nearest integer?
3
Round -11251.03194 to the nearest 10.
-11250
Round 1635622.23 to the nearest 10000.
1640000
What is 46591.58306 rounded to the nearest one hundred?
46600
Round -0.0065375686 to 4 dps.
-0.0065
Round -25146.0931 to the nearest ten.
-25150
Round -85909.464 to the nearest ten thousand.
-90000
Round 0.0339388505 to five dps.
0.03394
Round 1.25931519 to 1 dp.
1.3
Round -373.5025 to the nearest integer.
-374
What is 0.346678852 rounded to 1 decimal place?
0.3
What is -243547.288 rounded to the nearest 10000?
-240000
Round 19596.23105 to 1 decimal place.
19596.2
What is 0.000056134429 rounded to 5 decimal places?
0.00006
Round 7176.345974 to the nearest 1000.
7000
What is 1.643106893 rounded to 5 dps?
1.64311
What is 0.0004264163018 rounded to 6 dps?
0.000426
Round 11.950575 to 1 decimal place.
12
What is -0.04539411269 rounded to three decimal places?
-0.045
What is -3782.088013 rounded to the nearest 1000?
-4000
What is -20228.558552 rounded to the nearest 1000?
-20000
Round -0.19793442 to 4 decimal places.
-0.1979
Round 30.991111 to the nearest 10.
30
What is 211.5262093 rounded to the nearest ten?
210
What is -31326045940 rounded to the nearest one million?
-31326000000
What is 1271083.08 rounded to the nearest one hundred?
1271100
Round -6289211.5 to the nearest one hundred thousand.
-6300000
What is -73891.3058 rounded to the nearest ten?
-73890
Round -6353.116 to the nearest ten thousand.
-10000
What is -0.693740478 rounded to five decimal places?
-0.69374
Round -7520.4699 to the nearest 10.
-7520
What is 0.857732236 rounded to 1 dp?
0.9
What is -11023457744 rounded to the nearest 1000000?
-11023000000
Round 19736106.14 to the nearest ten thousand.
19740000
What is 4038.506091 rounded to the nearest 1000?
4000
What is -0.00892349616 rounded to five decimal places?
-0.00892
Round -163331983 to the nearest one hundred thousand.
-163300000
What is -1171582.826 rounded to the nearest 10000?
-1170000
What is 175209459.1 rounded to the nearest one hundred thousand?
175200000
What is -35138.9482 rounded to 0 decimal places?
-35139
Round 2004.573655 to the nearest integer.
2005
Round 0.0630221151 to five dps.
0.06302
Round -3.47236548 to 2 dps.
-3.47
Round 10.595418299 to two decimal places.
10.6
What is 31031.056 rounded to 0 decimal places?
31031
What is -0.069594594 rounded to five decimal places?
-0.06959
What is 237.320877 rounded to one dp?
237.3
Round -1.836526016 to three decimal places.
-1.837
What is 0.000777070694 rounded to six decimal places?
0.000777
Round -5182.149032 to 1 dp.
-5182.1
What is 0.00314170694 rounded to 3 dps?
0.003
What is -1164028.562 rounded to the nearest 1000?
-1164000
What is -176282.462 rounded to the nearest one hundred?
-176300
Round -0.000120471654 to 7 dps.
-0.0001205
Round 0.00127282206 to five dps.
0.00127
What is -1696582150 rounded to the nearest 1000000?
-1697000000
Round 2.1150376 to two decimal places.
2.12
What is 14134908.67 rounded to the nearest 1000000?
14000000
What is 0.000200295858 rounded to 7 decimal places?
0.0002003
Round -1.54181668 to 2 dps.
-1.54
What is 0.129797685 rounded to two dps?
0.13
Round -4355462.49 to the nearest one million.
-4000000
Round -29041.74 to the nearest 10.
-29040
What is 272375.5361 rounded to the nearest 100?
272400
Round 0.138529301 to two dps.
0.14
Round 826714027 to the nearest 1000000.
827000000
What is -4.358452059 rounded to 1 decimal place?
-4.4
What is -0.178411628 rounded to three dps?
-0.178
Round -0.00103293083 to seven dps.
-0.0010329
What is -1807993440.2 rounded to the nearest 1000000?
-1808000000
What is 20738933.39 rounded to the nearest one hundred thousand?
20700000
Round -472.7970637 to 1 decimal place.
-472.8
Round 65.99258474 to zero dps.
66
Round 10.9903543 to the nearest integer.
11
Round 8518661.1 to the nearest 1000.
8519000
Round -0.00107055943 to 5 dps.
-0.00107
Round -9972.2 to the nearest one thousand.
-10000
Round 47913.7816 to the nearest 1000.
48000
What is -7.11215882 rounded to 3 decimal places?
-7.112
What is -416.920916 rounded to one decimal place?
-416.9
Round 15.00471307 to 2 decimal places.
15
Round 386.8957 to one decimal place.
386.9
Round -1019.346638 to the nearest 1000.
-1000
What is 0.00374393982 rounded to seven decimal places?
0.0037439
Round -3054.6356 to the nearest 100.
-3100
What is 10.1612194 rounded to 1 decimal place?
10.2
What is 54631399.63 rounded to the nearest 1000000?
55000000
What is -0.512778508 rounded to two decimal places?
-0.51
Round 44560368340 to the nearest 1000000.
44560000000
Round 0.00000417188914 to seven dps.
0.0000042
What is -28.5133579 rounded to 2 dps?
-28.51
Round -0.00003578568066 to six dps.
-0.000036
What is -18112513.3 rounded to the nearest 1000000?
-18000000
What is -50956912 rounded to the nearest one million?
-51000000
Round 1.007383045 to three dps.
1.007
What is 65.95183844 rounded to one decimal place?
66
Round 639500260 to the nearest one million.
640000000
Round -8959.1687 to the nearest 100.
-9000
Round -73225.0819 to the nearest 10.
-73230
What is -5861222.8 rounded to the nearest one million?
-6000000
Round 1440717.18 to the nearest one thousand.
1441000
Round -0.00004850094614 to 7 decimal places.
-0.0000485
Round -263534071.2 to the nearest ten thousand.
-263530000
Round -195.835681 to the nearest 100.
-200
Round -1152.57447 to 1 dp.
-1152.6
Round 0.00510665107 to four decimal places.
0.0051
What is 508.79292 rounded to one dp?
508.8
What is 257187.45 rounded to the nearest 10000?
260000
Round 1666.44922 to the nearest integer.
1666
What is 3.256920436 rounded to zero dps?
3
What is 10304494000 rounded to the nearest 1000000?
10304000000
What is 16.1723968 rounded to two dps?
16.17
What is -2.58395625 rounded to 2 decimal places?
-2.58
Round 0.0319454154 to five dps.
0.03195
Round 0.0017801651671 to 7 d | {
"pile_set_name": "DM Mathematics"
} |
of 13/54 and (-64)/(-160)*(-105)/(-18)?
54
Let u be (-8 - 1)*-17 - (-1 + -2). Let r = 159 - u. What is the smallest common multiple of 45 and r?
45
Let i(x) = 5*x**2 - 2*x + 1. Suppose 130*k - 125*k = 35. Calculate the smallest common multiple of k and i(1).
28
Suppose 0 = 4*m - 2*s + s - 6, 2 = 4*m - 3*s. Suppose -3*o - 3 = 0, k + 158 = 6*k + 2*o. Let t = -20 + k. What is the lowest common multiple of m and t?
12
Let u be 1/(-4) + 75/12. Suppose u = -2*n - n. Calculate the common denominator of 83/10 and (-59)/n + 15 + -19.
10
Suppose 9*h - 126 = 18. Calculate the common denominator of (-2)/h + (2 - 66/24) and 39/22.
88
Let u be (16/(-4))/((-6)/9). Let v(s) = -s + 7. Let z be v(u). What is the common denominator of 21/16 and (z/(-3))/(12/93)?
48
Let i(z) = z**2 + 4*z + 2. Let w be i(4). Let h = w + -163/2. Let v = 2/2863 + 54387/14315. Calculate the common denominator of h and v.
10
Let m = 14/655 + -78113/7860. Calculate the common denominator of m and 18732/(-22680) - 2/27.
60
Let m be (2 - 2) + 2 - -18. Suppose -o + m = o. Let l = 40 - 37. Calculate the least common multiple of l and o.
30
Let i be 15/4 - 6/8. Suppose 0 = 5*f - 4*l - 651, -8*l = -4*f - i*l + 528. What is the smallest common multiple of 8 and f?
1016
Let s(i) = -43*i + 1 - 11*i**3 + 43*i - 2*i**2. What is the smallest common multiple of 12/(-7)*84/(-8) and s(-1)?
90
Suppose 2*p - 2*v = 78, 3*v = 5*p - 0*v - 193. Let m = 40 - p. Suppose -55 = -4*j - j. What is the lowest common multiple of j and m?
22
Find the common denominator of -13/24 and 7/(-4) - (-175)/(-660).
264
Let u be -2*(-1)/(-3 + 4). Suppose 0 = -5*b + 4*b + u. Suppose -4*s + 32 = 4*y, 18*s + 5 = 13*s + 4*y. Calculate the lowest common multiple of s and b.
6
Let n be (-8 + 11)*4/3*28. Let k = -82 + n. What is the smallest common multiple of 21 and k?
210
Suppose -4*u = -8, 0 = 5*j + 3*u - 292 + 86. Calculate the least common multiple of 45 and j.
360
Let f = 124424 - 96553045/776. Calculate the common denominator of 13/14 and f.
5432
Let s = 1115151896 - 64680568985/58. Let d = s + 30327. Calculate the common denominator of d and -31/6.
174
What is the common denominator of 67/4 and (3 - 7) + (-30075)/(-7485)?
1996
Suppose 0 = -25*v + 24*v + 14. Suppose 0 = p - 5*p + 100. Let h = p - v. What is the lowest common multiple of 11 and h?
11
Let p = -27150 - -1547618/57. Calculate the common denominator of -101/12 and p.
228
Let y(g) = -g**3 - 11*g**2 - 6*g - 40. Calculate the smallest common multiple of 55 and y(-12).
880
Let g = 68767/10 + -6886. Suppose 6 + 0 = -2*c. Find the common denominator of -1 + c + (-237)/(-36) and g.
60
Let r(w) = -w**3 + 7*w**2 + 9. Let p be r(6). Find the common denominator of (-82)/(-32) + p/30 and (-11)/(-10)*(-35)/8.
16
Let m = 1021 + -997. What is the smallest common multiple of m and 696?
696
Let f = -36391/56 - -4534/7. Let w = -116866 + 805323608/6891. Let v = w - 627097/55128. What is the common denominator of f and v?
8
Suppose -m = -2*q - 22, m + 6*q - 46 = 2*q. Let v = -64799/46002 - 1/2091. What is the common denominator of 1/m*(-60)/24 and v?
132
Let j = 352461/146 + -2414. Let h = j - -4429/1460. Find the common denominator of h and -17/4.
20
Let x = -392075/22 + 17818. Find the common denominator of (6/4)/(8/(-29)) and x.
176
Find the common denominator of 48/101 and 14/((-448)/360) + (-2)/(-4).
404
Let o(h) = -h**2 + 17*h - 57. Calculate the smallest common multiple of 83 and o(5).
249
Let k(f) = 8*f**2 + 4*f + 3. Suppose -5*l + 3*l = -8. Calculate the smallest common multiple of l and k(-1).
28
Calculate the common denominator of (-2)/(-5) - 238/(-80) and 2/(-6) + 60/84.
168
Let y be 3 - (28/7 - 9) - 4. Let h(o) = -o**2 - 7*o + 2. Let d be h(-5). Suppose -y*b + d = 4. Calculate the smallest common multiple of 4 and b.
4
Let z(v) = -64*v**3 + v. Suppose -19*x - 756 = -4*x - 43*x. Calculate the least common multiple of x and z(-1).
189
Let c = 32 + -22. Suppose 2*p - 3*x - c = 0, p - 4*x + 5 = -0*x. What is the common denominator of (-39)/2*p/99 and -29/8?
24
Let k = 10930 - 174961/16. What is the common denominator of 91/80 and k?
80
Calculate the lowest common multiple of (-288)/(-8) - 0 - 0 and 96.
288
Suppose -3*r + 58 = 5*z, -3*r + 4*z + 109 = 2*r. What is the smallest common multiple of 7 and ((-6)/(-8))/(r/56)?
14
Let v = -2/75 - 2921/150. Let g = 89 - 84. What is the common denominator of v and 1 + 16*g/(-15)?
6
Let t be (-7)/(21/(-696)) - 1. Calculate the common denominator of ((-6)/(-84))/(2 - t/116) and 63/8.
56
Suppose 0 = 4*o - 4*m - 40, 14*o - m + 32 = 19*o. What is the lowest common multiple of o and 319?
2233
Let l = 129 + -101. What is the least common multiple of 28 and l?
28
Let q(b) = -2*b + 6. Suppose 0 = 2*w - 0*w - c - 19, 11 = 3*w + 2*c. Calculate the least common multiple of w + -1 - (2 - 0) and q(0).
12
Let n(u) = 105*u**2 - u. Let o be n(1). Let l = 245 - o. Find the common denominator of -89/20 and l/42 - (-1)/(-1).
140
Let l = 38989/3 + -13886. Let h = l - -10949/12. What is the common denominator of h and 43/10?
20
Suppose -5*m + 47 = -2*m - 4*f, 0 = -4*m + 2*f + 46. Suppose 630 = -m*p + 4*p. What is the lowest common multiple of p/(-12) + (-2)/4 and 12?
60
Let j be 1/1*(2 + -9). Let d = j - -9. Suppose -d*s - 4 = -12. What is the smallest common multiple of s and 7?
28
Let h = -86/1223 - 5595053/2446. Let q = -6796/3 - h. Find the common denominator of q and 1/(-6)*35872/(-912).
18
Let g(v) = -2*v**3 - v + 64. Let w be -1 + 0 + (3 - 2). What is the smallest common multiple of 12 and g(w)?
192
Let c = -8 + -176. Let p = 737 - 712. What is the lowest common multiple of 62 and (-10)/p + c/(-10)?
558
Let t = 11 + -8. Let y be 100*(1 + t/(-2)). What is the common denominator of 130/12*(-3)/y and 143/12?
60
Suppose 3*s - 6*s = -12. Let t(r) = -8 - 12 - 2*r + s*r + 7. Calculate the least common multiple of 6 and t(8).
6
Let j = 14/1287 + 150383/18018. Find the common denominator of j and -37/104.
728
Find the common denominator of (-519)/18 - (8 + -13) and 91/24.
24
Suppose 129*b - 90 = 123*b. Calculate the least common multiple of b and 51.
255
Let l = -6 - -11. Suppose l*n + 21 = 3*h, -h - 4 = -0*h + 2*n. Suppose s + 3*z = -10, 0 = 3*s - h*s + 2*z + 5. What is the least common multiple of s and 8?
40
Let s = -3165/4 - -775. Let q be -1262*(-2 + 5)/(-42). Let u = q - 597/14. Calculate the common denominator of s and u.
4
Let p = 0 - 4. Let i(q) = 7*q - 8*q - 2*q + 8 + 4*q. What is the smallest common multiple of i(p) and 9?
36
Let m = 0 + 2. Suppose -m*u = -0*u - 2. What is the smallest common multiple of 3 and u?
3
Let f(r) = r**2 + 17*r + 2. Let b be f(-17). Let k(w) = w**2 + w - 2. Calculate the least common multiple of 75 and k(b).
300
Let w(z) = 297*z - 3. Let r be w(3). Let c = r - 3571/4. Find the common denominator of c and -77/16.
16
Let a = 17154/169 - 1/338. Let h = a + -104. What is the common denominator of h and 354/(-4)*(-4)/(-72)?
12
Let n be -2*(2 - (5 + -1)). Suppose n*r - 9*a = -4*a + 41, -5*r + 40 = 5*a. What is the least common multiple of r and 31?
279
Suppose -4*g + 5*w = -44, -3*g + 4*w - 8 = -7*g. What is the lowest common multiple of 428 and g?
1284
Let r be -1*(-5)/(-20) - (-825)/3684. Let t = 7803/4912 + r. Calculate the common denominator of -47/48 and t.
48
What is the common denominator of (-170)/(-12) + 2 + 7/(-7) and -149/42?
42
Let n = -327641/33 + 9931. What is the common denominator of (-80)/32*(-184)/90 and n?
99
Let o = -10/553 - -49297/4424. Let z = -1930 - -7627/4. Calculate the common denominator of z and o.
8
Suppose l - 4*w + w - 47 = 0, 3*l - 128 = -4*w. Suppose 0 = -28050*o + 28133*o - 1162. Calculate the lowest common multiple of o and l/2 - -1 - 1.
154
Let q be (-8)/20 + 12/5. Suppose -q*i - i + 6 = 0. Suppose 4*r - 4*s - 56 = -2*s, 5*r + i*s = 52. What is the lowest common multiple of r and 22?
132
Let p = 7/572 - -27679/5148. Let v = 37443 - 1123477/30. Calculate the common denominator of v and p.
90
Let y(m) = -m**3 - 12*m**2 + 2*m - 1. Let j be y(-12). Let g = j + 23. What is the common denominator of ((-6)/264)/(g/(-12)) and 61/2?
22
Let g = -9157 - -146559/16. Let t = -84487/22 + 3839. Find the common denominator of g and t.
176
Let b(p) = 13*p + 82. What is the least common multiple of 15 | {
"pile_set_name": "DM Mathematics"
} |
is next in 14399, 14413, 14437, 14471, 14515, 14569, 14633?
14707
What comes next: 455386, 910740, 1366094?
1821448
What is the next term in -118082, -236179, -354276, -472373, -590470, -708567?
-826664
What is next in -122620, -244546, -366474, -488404, -610336, -732270?
-854206
What is the next term in 93882, 94111, 94346, 94593, 94858, 95147, 95466, 95821?
96218
What comes next: -23653, -90753, -202587, -359155?
-560457
What is the next term in -24981446, -24981454, -24981462, -24981470?
-24981478
What is next in -3461771, -3461463, -3461155, -3460847, -3460539, -3460231?
-3459923
What is next in -825071, -3300281, -7425633, -13201127?
-20626763
What is next in 7225, 30859, 70237, 125347, 196177?
282715
What is next in 29596783, 29596785, 29596787?
29596789
What is next in 1543759, 1543807, 1543845, 1543867, 1543867?
1543839
What is the next term in -743363, -1486784, -2230205, -2973626?
-3717047
What comes next: 26239, 76886, 127533, 178180, 228827, 279474?
330121
What is next in -5895, -15124, -31011, -56886, -96079, -151920, -227739?
-326866
What comes next: -7009638, -7009625, -7009612, -7009599, -7009586, -7009573?
-7009560
What comes next: -473333, -473428, -473523, -473618?
-473713
What is next in -508, -602, -462, 32, 1000?
2562
What is next in 5180810, 10361618, 15542426?
20723234
What is the next term in -3380442, -6760918, -10141394, -13521870, -16902346?
-20282822
What is next in 6047, 36658, 119753, 281576, 548371, 946382, 1501853, 2241028?
3190151
What is next in 10973736, 10973737, 10973738, 10973739?
10973740
What comes next: -103716, -415009, -933870, -1660299?
-2594296
What is the next term in 41992, 168130, 378418, 672856, 1051444?
1514182
What is the next term in 20330, 20079, 19824, 19565, 19302, 19035, 18764?
18489
What is the next term in -20175210, -20175215, -20175222, -20175231, -20175242, -20175255, -20175270?
-20175287
What is next in -17118, -18951, -20784?
-22617
What comes next: -1237761, -1237779, -1237797, -1237815, -1237833?
-1237851
What is the next term in -35207, -30840, -26473?
-22106
What is next in -6888808, -13777620, -20666434, -27555250?
-34444068
What comes next: 8492, 16871, 25250, 33629, 42008?
50387
What comes next: 292113, 586153, 880193, 1174233, 1468273?
1762313
What comes next: 2165, 3523, 4073, 3815, 2749?
875
What is next in 68786, 137560, 206324, 275078, 343822, 412556, 481280?
549994
What is the next term in -1345, -13078, -46939, -114634, -227869, -398350, -637783, -957874?
-1370329
What comes next: 12399611, 12399608, 12399605, 12399602, 12399599, 12399596?
12399593
What is next in -27567574, -27567583, -27567592, -27567601, -27567610?
-27567619
What is next in -2015, -4195, -6561, -9113, -11851, -14775, -17885?
-21181
What is next in -25857, -207224, -699565, -1658364, -3239105?
-5597272
What comes next: -5698802, -11397602, -17096406, -22795214, -28494026?
-34192842
What is next in -1589, -1154, -805, -542, -365, -274?
-269
What comes next: 29083775, 58167548, 87251321, 116335094?
145418867
What is the next term in 2117966, 8471850, 19061656, 33887384?
52949034
What comes next: -15210, -29261, -52670, -85431, -127538, -178985?
-239766
What is the next term in 27762234, 55524468, 83286700, 111048930?
138811158
What is next in -4575845, -4575843, -4575841?
-4575839
What is next in 1152002, 1152049, 1152096, 1152143?
1152190
What is next in -1273579, -2547970, -3822361?
-5096752
What comes next: -452934, -452956, -452978?
-453000
What is the next term in 1163, 761, -179, -1927, -4753, -8927?
-14719
What is the next term in -9447, -38527, -86997, -154857, -242107?
-348747
What is the next term in 2926150, 2926151, 2926152?
2926153
What comes next: -68413, -68494, -68575, -68656, -68737, -68818?
-68899
What is the next term in 147718086, 295436170, 443154254?
590872338
What is next in -8234, -7768, -7304, -6842?
-6382
What is the next term in 918, 5676, 10434, 15192, 19950?
24708
What comes next: 31, -587, -1233, -1907, -2609, -3339?
-4097
What comes next: -23834, -46427, -67792, -87929, -106838, -124519?
-140972
What is the next term in -193366, -773365, -1740024, -3093337, -4833298, -6959901?
-9473140
What is next in 215673, 862707, 1941101, 3450855?
5391969
What is the next term in 216, 874, 2040, 3774, 6136, 9186, 12984, 17590?
23064
What comes next: 30707, 121388, 272525, 484118?
756167
What is the next term in -113961, -455648, -1025061, -1822200, -2847065?
-4099656
What is next in 121011, 241716, 362421?
483126
What comes next: 17402, 17406, 17402, 17384, 17346, 17282?
17186
What is the next term in -32559, -38817, -45075?
-51333
What comes next: -2217, -4318, -10023, -21132, -39445, -66762, -104883?
-155608
What is the next term in 1046, 2047, 2990, 3875, 4702, 5471, 6182?
6835
What is the next term in -531, -2773, -8509, -19491, -37471?
-64201
What is next in 2026, 622, -780, -2180, -3578, -4974?
-6368
What comes next: 4365787, 4365799, 4365835, 4365907, 4366027, 4366207?
4366459
What comes next: 66948, 66928, 66894, 66846?
66784
What is next in 384555, 384566, 384595, 384648, 384731, 384850?
385011
What is the next term in -3187872, -3187806, -3187630, -3187290, -3186732, -3185902, -3184746, -3183210?
-3181240
What comes next: 44937, 45159, 45381, 45603?
45825
What is the next term in -69184, -69168, -69152?
-69136
What is the next term in 968, 2058, 3150, 4244?
5340
What comes next: 3300647, 3300655, 3300659, 3300659?
3300655
What is next in 133639, 130369, 124919, 117289?
107479
What is next in -11668815, -11668815, -11668805, -11668779, -11668731, -11668655, -11668545?
-11668395
What comes next: -13789612, -13789611, -13789610?
-13789609
What comes next: 4293, 17814, 49805, 109500, 206133?
348938
What comes next: 84856, 84861, 84870, 84883?
84900
What comes next: -1736543, -3473166, -5209789?
-6946412
What comes next: 1114259, 4457027, 10028307, 17828099, 27856403, 40113219?
54598547
What is the next term in 10446645, 10446644, 10446643, 10446642, 10446641?
10446640
What is the next term in -87848706, -175697414, -263546122, -351394830, -439243538, -527092246?
-614940954
What is the next term in -5436382, -5436380, -5436378, -5436376, -5436374, -5436372?
-5436370
What is the next term in 6398, 12010, 17620, 23222, 28810, 34378, 39920?
45430
What comes next: -37567, -37565, -37559, -37549, -37535?
-37517
What comes next: -1408, -3811, -7372, -12097, -17992, -25063, -33316?
-42757
What is the next term in -19754, -39894, -60420, -81332, -102630, -124314?
-146384
What comes next: 146482, 146425, 146368, 146311, 146254?
146197
What is the next term in 206549301, 206549302, 206549303, 206549304?
206549305
What comes next: 20475, 20490, 20505, 20514, 20511, 20490, 20445?
20370
What is the next term in 1137, -2815, -6767, -10719, -14671?
-18623
What comes next: 20123, 40911, 62335, 84401, 107115, 130483, 154511, 179205?
204571
What comes next: -10859, -21045, -31209, -41345, -51447, -61509, -71525, -81489?
-91395
What is next in 1513102, 3026216, 4539330, 6052444?
7565558
What is the next term in -602638, -2410411, -5423366, -9641503, -15064822, -21693323, -29527006?
-38565871
What is next in -332824, -666519, -1000214, -1333909, -1667604, -2001299?
-2334994
What is next in -661, -611, -557, -505, -461, -431?
-421
What is the next term in 501, 3508, 11189, 25728, 49309, 84116?
132333
What is next in -172, -1286, -2386, -3472, -4544, -5602, -6646?
-7676
What is the next term in 239971, 479966, 719961, 959956, 1199951?
1439946
What is next in -56124, -449069, -1515632, -3592623, -7016852, -12125129, -19254264?
-28741067
What is the next term in -1381743, -5526960, -12435657, -22107834, -34543491?
-49742628
What comes next: 3809, 10378, 16943, 23504, 30061, 36614?
43163
What is next in 2887566, 2887575, 2887584?
2887593
What comes next: -1898032, -1898022, -1898012?
-1898002
What is the next term in -27039, -27266, -27495, -27726, -27959?
-28194
What is next in -142, -133, -188, -367, -730, -1337, -2248?
-3523
What is the next term in 70376, 140302, 209328, 277004, 342880, 406506?
467432
What is the next term in -750554, -750261, -749968?
-749675
What is the next term in -2935697, -5871393, -8807089, -11742785, -14678481, -17614177?
-20549873
What is the next term in 1438, 1584, | {
"pile_set_name": "DM Mathematics"
} |
3 + l**2 - 32845*l + 677320.
6*l**2 + 2*l - 32845
Find the second derivative of -485*g*w**2 + 9*g*w + 3*g - 513*w**2 + 3779*w - 2 wrt w.
-970*g - 1026
What is the second derivative of -2*x**3 + 153717*x**2 - 77273*x wrt x?
-12*x + 307434
Find the second derivative of 7*k**3*o**2 + 2*k**3*o - 10*k**3 - 264*k**2*o - 3*k**2 + 38*k*o**3 + k*o**2 + k*o - 8*o**3 wrt o.
14*k**3 + 228*k*o + 2*k - 48*o
What is the derivative of 303886*p + 855213?
303886
What is the third derivative of -8*a**3*z - 789*a**3 - 40*a**2 + 92*a*z wrt a?
-48*z - 4734
What is the third derivative of -87266*n**5 - 26*n**2 + 19*n + 6?
-5235960*n**2
Find the second derivative of -12130*d**4 - 14714*d + 1 wrt d.
-145560*d**2
What is the derivative of -3476141*u - 3065910 wrt u?
-3476141
What is the third derivative of -2692*h**3*i**2 - h**3*i - 52*h**2*i**2 - 42*h**2*i - 2*h**2 wrt h?
-16152*i**2 - 6*i
Find the third derivative of -119*l**5 + l**4 - 1172*l**3 - 131*l**2 + 9046*l + 1 wrt l.
-7140*l**2 + 24*l - 7032
Find the third derivative of -19407*m**3*x - 2*m**3 + 3*m**2*x + 1383*m*x wrt m.
-116442*x - 12
Find the third derivative of -1044*b**3*c**3 - 2*b**3 + 45*b**2*c**3 - 91*b*c**2 + 5*c**3 - 5832*c**2 wrt c.
-6264*b**3 + 270*b**2 + 30
Find the second derivative of -2529*n**2*r**3*y**2 + 4*n**2*r**3*y - 12*n**2*r*y + 2*r**3*y**2 + 51*r**3*y wrt y.
-5058*n**2*r**3 + 4*r**3
What is the third derivative of -305*i*s**3*z + 17*i*s**3 - 214800*i*s**2*z - 80*s**3*z wrt s?
-1830*i*z + 102*i - 480*z
What is the third derivative of 600569*n**5 + 207963*n**2 wrt n?
36034140*n**2
Find the second derivative of y**4 + 589*y**3 + 2*y**2 - 142716*y.
12*y**2 + 3534*y + 4
Find the second derivative of -1572*a**5 - 45*a**4*d - 16*a*d + 26*d + 15 wrt a.
-31440*a**3 - 540*a**2*d
Find the second derivative of 5*s**4 - 4049*s**3 - 3*s**2 - 5104642*s.
60*s**2 - 24294*s - 6
What is the third derivative of -1443*r**4 + 6*r**3 + 2*r**2 + 99381 wrt r?
-34632*r + 36
Find the third derivative of 45744*p*t**3 + 1471*p*t**2 + 2*t**2 wrt t.
274464*p
What is the second derivative of 321665*d**3*y**2 - 3*d**2*y**2 + 1359*d*y**2 - 560*y**2 wrt d?
1929990*d*y**2 - 6*y**2
Find the third derivative of -97429*m**3 + 161288*m**2.
-584574
Find the first derivative of 203702*d + 42905 wrt d.
203702
Differentiate -446504*d + 406186 wrt d.
-446504
Differentiate 701600*h*m + 27089*h wrt m.
701600*h
Find the second derivative of 9*i*w**2 - 889775*i*w + i + 68595*w**2 - 2*w wrt w.
18*i + 137190
What is the derivative of -63219*l**2 - 3136 wrt l?
-126438*l
What is the second derivative of 2*a**2*p**2 + 765*a**2*p + a**2 - 15*a*p**2 - 4*a + 43*p**2 wrt p?
4*a**2 - 30*a + 86
Find the third derivative of 310*a*i*o*q**3 - 7*a*i*o + 5*a*o*q**3 + 965*a*q**2 + 35*i*q**3 - 33*o*q**2 wrt q.
1860*a*i*o + 30*a*o + 210*i
Find the third derivative of 48*z**5 - 28*z**4 + z**3 - 14358*z**2 - 1 wrt z.
2880*z**2 - 672*z + 6
What is the third derivative of 8436*p**4 - 63*p**3 + 2763608*p**2 wrt p?
202464*p - 378
What is the third derivative of 15210*h**6 + 7*h**5 - h**4 + 19216*h**2 - 7?
1825200*h**3 + 420*h**2 - 24*h
Find the second derivative of 151840*b**4 - 98880*b - 3.
1822080*b**2
What is the first derivative of -7*d*v**2 - 4259*d*v - 7*d - 21*v**2 + 1680*v - 1 wrt d?
-7*v**2 - 4259*v - 7
Differentiate -t**3 - 1040*t**2 - 2*t - 57236 wrt t.
-3*t**2 - 2080*t - 2
Find the second derivative of 233980*l**2 - 6*l - 6900 wrt l.
467960
What is the second derivative of 1067*o**3 - 677*o**2 - 1664107*o wrt o?
6402*o - 1354
What is the derivative of h**4 + 984*h**3 - 8*h**2 + 2649047 wrt h?
4*h**3 + 2952*h**2 - 16*h
What is the second derivative of -15*b**2*q**2 - 8*b**2*q + 1042*b**2 + 164282*b*q**2 wrt b?
-30*q**2 - 16*q + 2084
What is the first derivative of -44156*u*w + 45868*u + w wrt w?
-44156*u + 1
Find the second derivative of a*d**2*u + 131276*a*d**2 - 2*a*d*u**2 - 4*a*d - a*u**2 + d**2*u**3 - 4*d + 996*u**3 wrt d.
2*a*u + 262552*a + 2*u**3
What is the second derivative of 6160*n**3*y + 2*n**3 + 3*n**2*y - 105*n - 52*y wrt n?
36960*n*y + 12*n + 6*y
What is the third derivative of -8*p**6 - 13302*p**3 - 48659*p**2 - 2*p wrt p?
-960*p**3 - 79812
What is the third derivative of -364*u**4 - 750*u**3 + 217729*u**2 wrt u?
-8736*u - 4500
What is the second derivative of -6*s**5 - 11335*s**4 - 656295*s?
-120*s**3 - 136020*s**2
Find the second derivative of -j**3*w + 412*j**3 - 2*j**2*w - 3*j**2 - 16*j*w + 1336*j wrt j.
-6*j*w + 2472*j - 4*w - 6
What is the first derivative of -4369*i*r*s - 83*i*s - 18*r*s + 229*r + 9*s wrt i?
-4369*r*s - 83*s
Differentiate 45*k*o*s**2 + 11*k - 25*o*s**2 + 11566*o - 8*s**2 with respect to s.
90*k*o*s - 50*o*s - 16*s
Find the third derivative of -6524*r**4*w + 4*r**3*w - 3*r**3 + 9*r**2*w - 2*r**2 - 1406*r + 2*w - 2 wrt r.
-156576*r*w + 24*w - 18
Find the second derivative of -29366*j**2 + 38106*j - 2.
-58732
Find the second derivative of -931529*p**3 + 24636*p - 1 wrt p.
-5589174*p
Find the first derivative of 32*n**4 + 8194*n**3 + 1377387 wrt n.
128*n**3 + 24582*n**2
What is the third derivative of -588*i**4 - 11*i**3 - 5*i**2 - 600*i wrt i?
-14112*i - 66
Differentiate -9707*m*r**4 + 6*m*r**2 + 530192*m + 2*r + 2 wrt r.
-38828*m*r**3 + 12*m*r + 2
What is the derivative of -816*u**4 + u**2 + 2*u - 40607?
-3264*u**3 + 2*u + 2
What is the derivative of 163804*k**2 + 2*k + 293966 wrt k?
327608*k + 2
Find the second derivative of 32*x**3 - 447*x**2 + 17638*x - 1.
192*x - 894
What is the second derivative of 299495*i**3 + 30715*i wrt i?
1796970*i
Find the first derivative of 55*h*j**2*o - 15863*h*o + 1080*j**2*o - 2*j**2 - 114*o - 2 wrt h.
55*j**2*o - 15863*o
What is the second derivative of -2108856*i**2 + 1822356*i?
-4217712
What is the second derivative of 2*c**3*f - 5899*c**2*f**2 + 2*c*f**2 + 10210*c*f + c wrt c?
12*c*f - 11798*f**2
Find the third derivative of -936*b*f**3 - 3*b*f**2 - 9*b*f - 39*b - 5*f**4 + 4*f**3 - 4*f**2 wrt f.
-5616*b - 120*f + 24
Differentiate 5*a**2*j + 5214*a - 2226*j wrt a.
10*a*j + 5214
What is the second derivative of -949635*l**3 + 3281*l - 45?
-5697810*l
Find the first derivative of 7*h**3*n*p - 2*h**3*n - 8*h**3*p - 76*h**3 + 7*h**2 + 2*h*n + 981*p wrt p.
7*h**3*n - 8*h**3 + 981
Find the second derivative of 936970*v**3 + 264825*v - 3.
5621820*v
What is the derivative of 4*j**3*m*x - 3584*j**3*m + 334*j**3 - 130854*j**2*x wrt x?
4*j**3*m - 130854*j**2
What is the second derivative of 2*t**4 + 308*t**3 + 9*t**2 - 38*t - 1269 wrt t?
24*t**2 + 1848*t + 18
Differentiate -21*q**3*t - 23139*q**3 + 13*q**2*t with respect to t.
-21*q**3 + 13*q**2
Find the first derivative of -g**3*x**2 + 2*g**3 - g**2*x**2 - 545*g**2 - 1941*x**2 + 3 wrt x.
-2*g**3*x - 2*g**2*x - 3882*x
Find the third derivative of -5*n*q**4 - 40*n*q**3*x**2 - 991*n*q**3 - 145600*n*q**2*x**2 + n*q**2 - 2*n*q*x**2 wrt q.
-120*n*q - 240*n*x**2 - 5946*n
What is the second derivative of 3*k**3*v**5 + k**3*v + 6*k**3 + 71151*k**2*v**2 - 8*k*v + 2*v + 3 wrt v?
60*k**3*v**3 + 142302*k**2
Differentiate 36697*f**2*h*q**2 - 2*f**2*h + 9*f*h - 1274*h*q**2 - 60*h*q + h with respect to f.
73394*f*h*q**2 - 4*f*h + 9*h
Find the third derivative of 115182*w*x**3 - 56*w*x - 34*x**2 wrt x.
691092*w
Find the second derivative of -44053*q**4 + 2*q**2 - 6*q - 9415.
-528636*q**2 + 4
Find the third derivative of 2219*m**3*w**3*y**2 + m**3*w**3*y + 90*m**3*w**2*y**2 + 74*w*y**2 wrt w.
13314*m**3*y**2 + 6*m**3*y
What is the second derivative of -355987*h**2*v + 29*h*v - 3*h - 914*v wrt h?
-711974*v
What is the second derivative of -80382*b*m**2 - b*m + 3*b + m - 179 wrt m?
-160764*b
What is the derivative of -186762*t - 201579 wrt t?
-186762
What is the second derivative of 20*c**3*u + 2*c**3 + 16*c**2*u - 5*c**2 - 2*c + 9792*u wrt c?
120*c*u + 12*c + 32*u - 10
Find the first derivative of -56556*h + 54493.
-56556
What is the second derivative of 3*g**3*s**2*z - g**3*s*z + 264*g**3*z - 2*g**2*s**2 - 3446*g*s**2*z + 9*g*s*z - 2*z wrt s?
6*g**3*z - 4*g**2 - 6892*g*z
What is the third derivative of 43*a**2*v**2*y**3 - 2*a**2*v**2*y - 2*a**2*v*y**2 + 8645*a**2*y**3 - 20852*v**2*y wrt y?
258*a**2*v**2 + 51870*a**2
What is the derivative of -5*j**2*r + 10*j**2 - 2*j*r**2 - j - 5167*r**2 + 3 wrt j?
-10*j*r + 20*j - 2*r**2 - 1
Find the third derivati | {
"pile_set_name": "DM Mathematics"
} |
the common denominator of (-8)/44 - 3/9 and (-595)/j + 36/198.
297
Suppose -5*m + 146 = 3*t, 4*t - m = 230 + 3. What is the lowest common multiple of 630 and t?
11970
Suppose 4*k = -y - 0*k - 618, 4*y - 3*k = -2472. Calculate the common denominator of (-286)/48 - 6/24 and 1*(y/(-72) - -1).
24
Let f(n) = -3*n**2 + 4 + 4*n - 7*n - 14*n + 12 - 6. Suppose 0 = c - 2*w + 7*w + 16, 2*w = -3*c - 22. Calculate the smallest common multiple of 14 and f(c).
28
Find the common denominator of 49/9231 and (-22 - -162 - 6)/6.
9231
Let l be 4/5*(4 - -1). Let n(a) = a**2 - 4*a + 6. Suppose -5*o + 83 = 4*d, 6*d - 3*d - 64 = -4*o. Calculate the least common multiple of d and n(l).
12
Let v = 19079/5 + -114611/30. Calculate the common denominator of v and 2/4*(-50)/(-24).
120
Let i = 73 + -70. Let n = i + 35. Calculate the lowest common multiple of 20 and (-1)/(-2) + n*(-1)/(-4).
20
Suppose -2*b + 64 = -4*p, 9*b = 12*b - 3*p - 102. Suppose -j + 1 = 4*x - 31, 0 = j + 2*x - b. What is the smallest common multiple of j and 30?
120
Find the common denominator of -33/680 and 600/(-64) + (7/(-14) - 4/16).
680
Let n = 243213824 + -26510851393/109. Let l = n - -4996. Let s = -5185/1308 + l. What is the common denominator of 9/62 and s?
372
Let h = 15 + -5. Let b be ((-8)/(-10))/((98/(-35))/(-14)). What is the lowest common multiple of -7*(-2)/56 - (-23)/b and h?
30
Let c(b) = 13*b + 32. Let y(n) = -24*n - 65. Let r(h) = -11*c(h) - 6*y(h). Calculate the least common multiple of 2 and r(-32).
6
Suppose u + 2 = -2*x + 4, 0 = 3*u - x + 15. What is the smallest common multiple of 42 and 35/10 + (-2)/u?
84
Let q be 7 - ((-2)/6)/(14/126). What is the least common multiple of 18/3 + 10/q*-4 and 104?
104
Let c = -18 - -21. Let v = -4 - -5. Calculate the smallest common multiple of 36 and v/c - (-236)/12.
180
Suppose -5*u - 19 = h, 5*h - 5*u + 6 - 1 = 0. Let j(s) = -416*s + 36. Let z be j(-4). Calculate the lowest common multiple of z/95 + h/(-38) and 22.
198
Let j(h) = 15*h**2 + h + 2. Suppose -5*p - 59 = -374. Let g = p - 61. What is the lowest common multiple of j(-1) and g?
16
What is the common denominator of (-86)/(((-110)/(-3))/(24/48)) and -58/77?
770
Let q = 5832 - 58271/10. Calculate the common denominator of q and ((-84)/(-18))/((-2912)/(-1729)).
240
Let a = -184880429/1068 + 173109. Let g = a - -8098/1335. Find the common denominator of g and 17/10.
20
Find the common denominator of (-93)/13268*(-176)/36 and -13/3959.
11877
Let f = 5 + 0. Suppose -3*o + 2*o + 6*o = 0. Suppose o*l - 25 = -f*l, 0 = -c + l + 1. Calculate the lowest common multiple of 4 and c.
12
Calculate the common denominator of 8 - (1558/(-200))/((-324)/270) and 109/480.
480
Let f be (3850/192)/(-11)*6388. Let i = f - -11640. What is the common denominator of (8/(-18))/(3/(-36)) and i?
24
Let h(d) = 2*d**2 + 6*d - 54. Let b be h(12). Let v = b + -301. What is the smallest common multiple of 7 and v?
35
Let h be (-1 - -9)*(-12)/(-8). Let b be h/24*(1 + 3). Calculate the common denominator of 55/38 and (-150)/36 + b + -1 + -3.
114
Let g = -6670621/330 - -20214. Find the common denominator of 19/273 and g.
30030
Let z = -345 - -364. Suppose 2*m + 578 = z*m. What is the common denominator of m and -149/90?
90
Let o be (-15)/10*9/(-303). Let q = 8567/404 + o. Calculate the common denominator of q and 708/(-8)*(-1)/30.
20
Calculate the common denominator of ((-9)/12)/((-114)/(-112)) and 89/38.
38
Find the common denominator of 25/378 and (5 - -6*372/(-720)) + -3.
1890
Let u = -171218692993/210 - -815324316. Let z = u + 13954/5. Find the common denominator of ((-2)/6)/(22/84) and z.
462
Let g(x) = 2*x**2 - 29*x - 13. Let y(s) = 2*s + 3. Let i be y(3). Let f be g(i). Let c = -90 - f. What is the smallest common multiple of 6 and c?
66
Let c(g) = -2*g**3 - 18*g**2 - 23*g - 88. Calculate the least common multiple of 4 and c(-12).
1052
Calculate the smallest common multiple of (-2*3)/(66/(-44)) and 2448.
2448
Find the common denominator of (((-45)/(-6))/(-5))/((4095/(-66))/21) and -81/610.
7930
Suppose 4*d + 4*m = -137 + 25, 0 = -3*d + m - 92. Find the common denominator of (-1)/d*-2*(-238)/(-7) and 41/5.
15
Let n(v) = -7*v - 285. Let r be n(-41). Suppose 5*d - 3 - 3 = 4*x, x = r*d - 3. What is the smallest common multiple of 418 and d?
418
Suppose -4 = 2*f, -6*f + 32 = 4*t - 2*f. Let b(u) = u**2 + 3*u - 12. What is the smallest common multiple of b(-7) and t?
80
Suppose -3*c + w = -2*c, 4*w - 18 = -2*c. What is the common denominator of -19/8 and (4/(-6))/((-98)/3)*c?
392
Let p = -11 - -26. Let s(i) be the first derivative of -i**2/2 + 21*i - 1105. Calculate the lowest common multiple of 16 and s(p).
48
Let j be ((7 - 0) + -8)*(-2)/(-1). Calculate the lowest common multiple of 18 and (18/8)/(j/(-24)).
54
Let v = 1113/77330 + -8/407. What is the common denominator of v and (-9)/5 + 32/(62720/5208)?
1330
Let o be (-253)/(-276)*156/16. Let y be (-1 - 0)/(16/149). Let i = o - y. Find the common denominator of i and -55/8.
8
Calculate the common denominator of (34/918)/(8/(-2610)*(-25 - -4)) and 59/154.
2772
Let n be ((-58)/87)/(4/(-1002)). Suppose b + 2*u - n = -2*b, u + 49 = b. What is the smallest common multiple of 4 and b?
212
What is the common denominator of -10 + 63/30*(-544)/(-72) and 2/603?
3015
Let h = 1247/5 + -2547/10. Let u be (-2)/4 - (-3084)/(-68). Let q = -11/17 + u. Calculate the common denominator of q and h.
10
Let i be (97/3 - 1)/(2/6). Suppose 0 = -5*l - t + i, 3*l - 6 = 5*t + 28. Calculate the least common multiple of 10 and l.
90
Let k(a) = 11*a + 1328. What is the least common multiple of k(-110) and 1298?
1298
Let l(p) = 11*p + 145. Let i be l(-14). Find the common denominator of i + 2305/450 - -4 and 1/30.
90
Suppose f = -6*f + 70. Suppose 25*v = f*v + 1065. Find the common denominator of v/(-8) + 24/32 and -79/12.
24
Let c be (3 - -6)/((-7)/42). Let m = -46 - c. What is the least common multiple of 1 and 1 + 15/(-12) + 586/m?
73
Let i = -36 - -84. Suppose -2*m - 10*m = -i. Suppose a = 5*f - 2*a - 107, 0 = -4*f + 2*a + 86. What is the lowest common multiple of m and f?
44
Calculate the common denominator of -79/162 and ((-30)/300)/(27/129*-1).
810
Let r(u) = u**3 + 24*u**2 - 19*u + 122. Let y be r(-25). Calculate the common denominator of 63/106 and ((-4)/y*-6)/((-12)/(-9)).
742
Let y(n) = n**2 - 25*n + 114. Let b = 204 - 182. What is the smallest common multiple of y(b) and 6?
48
Suppose -258*m - 4046 = -262*m + 2*w, -m = -3*w - 1009. What is the smallest common multiple of m and 368?
4048
Let g(d) be the third derivative of d**5/30 - 11*d**3/3 + 9*d**2 - 3*d. What is the least common multiple of g(-5) and 70?
140
Calculate the common denominator of (11/(-210))/(660/(-8470)) and 73/570.
3420
Let v be -79*(5 - (-91)/(-21))/((-2)/(-3)). Let k(o) = -o**3 + 10*o**2 - 5*o + 5. Let h be k(4). Let m = v + h. Calculate the least common multiple of m and 49.
98
Suppose -1064 = -2356*k + 2328*k. Let z(f) = 4*f - 10. What is the smallest common multiple of z(6) and k?
266
Let p(j) = 14*j**2 - 40*j - 92. What is the least common multiple of p(15) and 10?
12290
Let w = 15931 + -382247/24. Suppose 5*k + 2*t + 295 = 0, -k - 29 = -t + 23. Calculate the common denominator of ((-76)/k)/(7/(-22)) and w.
168
Suppose 2*b = 4 + 48. Suppose 0 = 4*q + 3*a - 10 + 2, -q + 9 = -a. Suppose -6 = q*d - b. What is the lowest common multiple of 8 and d?
8
Let l = -2 - -4. Suppose 0 = -2*c - 3*i - 84 + 2, -3*i = 3*c + 117. What is the lowest common multiple of l and 24/(-28) - 135/c?
6
Let s be 15/(-18)*((-37107)/330 - -3). Let z = -377/4 + s. Find the common denominator of 4/(-2) - 639/(-150) and z.
550
Suppose -70055 = -66*g - 15407. Calculate the lowest common multiple of 92 and g.
828
What is the common denominator of ((-33)/24)/(20/6) and ((-110)/(-220))/(4/(-6))*53/(-33)?
880
What is the common denominator of -29/93 and 20/8370*(1506/(-24) - 1)?
558
Suppose 3*s = 3*a, 4*a + 26 - 1 = -s. What is the common denominator of 3/a*845/(-52) and (-2*2/(-4))/(-4)?
4
What is the common denominator of 6/280*(-18800)/600 and -73/190?
1330
Suppose -44493 = -5*g - 2*n, 2*g + 1238 = -5*n + 19031. Let q = g - 382640/43. What is the common denominator of 85/4 and q?
172
Let l(i) = -2*i**3 + 31*i**2 - 10*i - 7. Suppose 90 = 9*n | {
"pile_set_name": "DM Mathematics"
} |
0. What is the remainder when 76 is divided by d?
36
Let u(x) = -41*x - 1. What is the remainder when u(-1) is divided by 21?
19
Let a be 0 + (0 - 1/1). Let d be 2 + (a - 3) + 2. Suppose -6 - 6 = -3*k, -5*v + 3*k + 103 = d. What is the remainder when v is divided by 12?
11
Let m(b) = b**2 + 2*b - 7. Calculate the remainder when 49 is divided by m(-6).
15
Suppose 0 = -2*u + 33 - 7. Suppose -l + 5*f = 7, -2*l + 3*f - 2*f + u = 0. Suppose 3*d + 6 = 5*d. Calculate the remainder when l is divided by d.
2
Let w(l) = 2*l - 3. What is the remainder when 18 is divided by w(5)?
4
Let w(b) = b**3 + 10*b**2 - 14*b + 15. Let t be w(-11). Let d be ((-9)/12)/((-3)/t). Let m = d - 8. Calculate the remainder when 7 is divided by m.
3
Let l = 1 - -1. Suppose 0*g = -2*g + l*a + 54, 0 = -5*g + 4*a + 135. Suppose 0*c + 2*c = 5*x - g, -4*c + 23 = x. What is the remainder when 27 is divided by x?
6
Suppose -10*w - 18 = -12*w. Calculate the remainder when 16 is divided by w.
7
Suppose -4*n + 9*n - 50 = 0. Suppose -l = -7 - n. Suppose -2*o + 3*r - 2 + 20 = 0, 0 = 5*o + 2*r - 45. Calculate the remainder when l is divided by o.
8
Let m(f) = f**3 + 2*f**2 - 3*f + 2. Let h be m(-3). Let v = h - 1. Calculate the remainder when 7 is divided by (1 - v) + 6 + -2.
3
Let r = 19 - 19. What is the remainder when 29 is divided by ((r - -3) + -11)*-1?
5
Let v(o) = 2*o - 3. What is the remainder when 38 is divided by v(12)?
17
Suppose -o - c - 12 = 4*c, 5*o - 5*c = 30. What is the remainder when 11 is divided by o?
2
Suppose 3*d + 11 = 44. Let f(u) = u**2 + u. Suppose -2*k = -5*o - 38, -2*o + 2*k + 2*k - 28 = 0. What is the remainder when f(o) is divided by d?
8
Suppose 3*f - 4*f = -70. Suppose -2*o + 4*y + 28 = 0, 4*y - f = -5*o - 0*y. What is the remainder when 27 is divided by o?
13
Calculate the remainder when (-2349)/(-116) + (7/4 - 1) is divided by 8.
5
Suppose -2*o = -2*j + 5*j - 54, -o + 1 = -5*j. Let z = o - 30. Let q = 18 + z. Calculate the remainder when 17 is divided by q.
8
Suppose 4*q = 5*s + 89, -5*q - 5*s + 52 = -3. Calculate the remainder when 27 is divided by q.
11
Suppose -2*g - 12 = 6. Suppose -3*s - 2*s = -3*z + 55, 4*s = -z + 7. Let q = z + g. What is the remainder when 16 is divided by q?
4
Suppose 0 = -2*t + t + 5. Suppose -7*x + t*x + 12 = 0. Calculate the remainder when 21 is divided by x.
3
Let v(h) = -5*h + 3. Let r(d) = -d. Let u(g) = -r(g) - v(g). Calculate the remainder when 24 is divided by u(2).
6
Let t(l) = -l**3 - 4*l**2 - l + 2. Calculate the remainder when t(-4) is divided by 2 - ((-4)/4 - 1).
2
Suppose 5*y = -0*y + 55. Calculate the remainder when y is divided by 7.
4
Let l(y) = 3*y**2 + 7*y + 6. Let s be l(-5). Suppose 2*t + 0*t = s. Calculate the remainder when 67 is divided by t.
21
Let p(g) = -7*g - 4. Let o(t) = -8*t - 5. Let k(w) = -6*o(w) + 7*p(w). What is the remainder when k(-6) is divided by 6?
2
Let x = -5 - -51. Calculate the remainder when x is divided by 16.
14
Let d = 27 + -23. Suppose -13 = -5*f + 2. Suppose -2*x = f*x - 30. Calculate the remainder when x is divided by d.
2
Let t = 45 - 30. What is the remainder when t is divided by 9?
6
What is the remainder when (5/10)/((-2)/(-120)) is divided by 11?
8
Let r = -60 - -144. Calculate the remainder when r is divided by 22.
18
Let h(c) = 2*c - 42. Let k(u) = -3*u + 84. Let w(q) = 5*h(q) + 3*k(q). Suppose n - 11 = 4. Calculate the remainder when w(0) is divided by n.
12
Let i be (4/10)/(3/30). Suppose 0 = -3*w + k + 5, -2*w = -0*w + i*k + 6. Calculate the remainder when ((-2)/1 - w) + 21 is divided by 10.
8
Suppose 4*d + 0*d - 132 = 0. Let l be ((-4)/(-10))/((-6)/180). What is the remainder when d is divided by 16 + -2 - l/4?
16
Calculate the remainder when 66 is divided by ((-1)/2*34)/(-1).
15
Suppose 2*y + y + 2*x = 97, -4*y + 2*x + 148 = 0. Calculate the remainder when y is divided by 13.
9
Suppose -3 + 21 = 2*i. Suppose z - 1 = p, 0 = -2*z - 5*p + 5 + 25. Suppose -2*u + 56 = 4*a, 4*u + 3 = -z*a + 67. What is the remainder when a is divided by i?
7
Let z be 4 - (1 + 1 + 11). Let y = z - -23. What is the remainder when 27 is divided by y?
13
Let k(r) = -r**2 - 11*r - 9. Suppose -b - 9 = -2. Let t(i) = -2*i - 4. Calculate the remainder when k(b) is divided by t(-7).
9
Let h be 1*-4*7/4. Let b(n) = n**2 - 6*n + 9. Calculate the remainder when ((-34)/6)/(h/21) is divided by b(6).
8
Let d = 11 - 9. Calculate the remainder when 8 is divided by d.
0
Let l(i) = -40*i - 2. What is the remainder when l(-1) is divided by 15?
8
Let p be (3/12)/((-2)/(-8)). Let m be 41 - (-2 - p*-2). Suppose -5*q + 205 = -0*i + 4*i, -q + i = -m. What is the remainder when q is divided by 11?
8
Suppose -v + 2*v - 25 = 0. Calculate the remainder when v is divided by 9.
7
Let k = 1 - 10. Let y = 24 + k. Calculate the remainder when 27 is divided by y.
12
Let w(b) = -3*b - 7. Let v be w(-6). Let m = -1 + v. Calculate the remainder when 59 is divided by m.
9
Suppose -v = -2*v - 2. Let o be 53 + v*1*1. Let a = o + -26. What is the remainder when a is divided by 9?
7
Let g be (-24)/(2/(8/(-3))). Suppose -5*c + g = -48. Calculate the remainder when c is divided by 6.
4
Suppose 0 = 2*w - 2*k - 5 - 19, 2*w = -k + 21. Suppose -2*g = 2*f - 42, 9 = f - 5*g - 0*g. Calculate the remainder when f is divided by w.
8
Calculate the remainder when 84 is divided by ((-3354)/(-117))/((-4)/(-6)).
41
Let r(t) = 5*t + t + 0 + 3 - 1 + t**2. What is the remainder when 3 is divided by r(-6)?
1
Let j = -4 - -6. Suppose 3*x - 100 = -j*x. What is the remainder when 59 is divided by x?
19
Let v = -111 + 169. What is the remainder when v is divided by 15?
13
Suppose -5*h + 36 = -59. What is the remainder when 37 is divided by h?
18
Calculate the remainder when 35 is divided by -4 - (-2256)/102 - (-2)/(-17).
17
Let z(n) = -4*n**3 + n + 1. Let k be z(-1). Suppose 4*c - 20 = u, -2*c + 5 + 5 = k*u. Calculate the remainder when 34 is divided by ((-12)/c)/(2/(-10)).
10
Suppose -5*p + 4*a + 182 = -55, p - 60 = 5*a. Calculate the remainder when 178 is divided by p.
43
Suppose 0 = 4*t + 2*t - 90. Let q(k) = k**2 - 2. Let f be q(2). What is the remainder when (174/(-4))/(-3)*f is divided by t?
14
Let o = 41 + -29. Suppose -34 = -3*v - 5*y, -23 = -4*v + 2*y + 5. Calculate the remainder when o is divided by (-28)/(-6)*12/v.
5
Suppose -4*i - 18 = -2*y, 3*y - i - 15 = 2*i. What is the remainder when y is divided by 1?
0
Suppose 2*o + 3 = 61. Suppose n - 21 = -3*k - 2*n, 0 = 4*k + 3*n - o. Suppose 0*s - 2*s + k = 0. What is the remainder when 6 is divided by s?
2
Suppose 5*g - 10 = -0*g. Calculate the remainder when -1 - -1 - 10/(-2) is divided by (6/g)/(3 + -2).
2
Let d(s) = 2*s. Let q(r) be the second derivative of 4*r**3/3 - 3*r. Let w(m) = -9*d(m) + 2*q(m). Calculate the remainder when 21 is divided by w(-6).
9
Let u = -4 - -5. Suppose -2*p + u = -19. What is the remainder when p is divided by 6?
4
Let d = 56 + -36. Suppose a - d = -3. Suppose 15 + 15 = 3*o. What is the remainder when a is divided by o?
7
Let i be ((-8)/(-5))/((-4)/(-130)). Suppose s = 5*s - i. Suppose -44 = 8*b - 236. Calculate the remainder when b is divided by s.
11
Calculate the remainder when 155 is divided by 8*10/(2 + 0).
35
Let t = 20 + -11. Let r = 6 - -4. Calculate the remainder when 508/20 - 4/r is divided by t.
7
Suppose -p + 5*h = -113 + 25, 4*h + 304 = 4*p. What is the remainder when p is divided by 25?
23
Suppose 11*b = 5*b + 288. What is the remainder when b is divided by 13?
9
What is the remainder when 69 is divided by (1 - (4 + -1))/(3/(-27))?
15
Suppose 0 = -3*t + 2*t. Let m = t + 3. Let y(s) = -s**2 + 9*s + 8. Calculate the remainder when y(9) is divided by m.
2
Suppose -3*j + 2*w - 471 = -8*j, 0 = 3*j - 2*w - 273. Calculate the remainder when j is divided by 19.
17
Let a(u) = -7*u**2 + 8*u + 10. Let y(s) = 0*s + s + 14*s + 19 - 13*s**2. Let v(h) = 11*a(h) - 6*y(h). Calculate the remainder when 58 is divided by v(-4).
18
Let g = 14 - -14. Calculate the remainder when 110 is divided by g.
26
Let o(k) = -10*k. Let l = 95 + -62. What is the remainder when o(-4) is divided by -2*l/(-6) + 3?
12
Let u(f) = -f**3 - 6*f**2 + 5*f - 7. Let h be -2 + (27/(-3))/3. Let y be u(h). Calculate the remainder when 32 is divided by 2*(-1 + y/(-6)).
15
Suppose -53 = -3*i - 2*i + | {
"pile_set_name": "DM Mathematics"
} |
be c(-6). Let d be (-4)/6 + 4/6. Suppose 5 = 3*b - 4, d = 4*q - 4*b - 72. What is the highest common divisor of q and r?
21
Let s(q) = -2*q**2 - 9*q. Let k be (-17)/3 - (-10)/15. Let f be (-8)/(-6)*(k - -2). Let c be s(f). What is the greatest common divisor of c and 4?
4
Suppose 1136 = 15*v - 1114. Suppose -u + 40 = u - 5*h, -170 = -5*u - 5*h. What is the greatest common factor of u and v?
30
Suppose 86 = -4*j + 2*j. Let l = -36 - j. Suppose 22 = v + l. What is the greatest common divisor of v and 6?
3
Suppose 2*r - 6*x + 5*x - 168 = 0, 3*r - 252 = -3*x. Suppose 0 = 12*z - 6*z - r. Calculate the greatest common divisor of z and 98.
14
Suppose -112 = -4*c - 4*c. Suppose -3*w - 2*w + 481 = 3*r, 2*r - 386 = -4*w. Calculate the highest common factor of w and c.
14
Let p(h) = h**2 + 9*h - 8. Let c be p(-10). What is the highest common divisor of c and 8?
2
Let a be -17 + -8 + 14 + 19. Calculate the highest common factor of 472 and a.
8
Suppose 119*s - 196 = 112*s. What is the greatest common divisor of s and 448?
28
Let j = -34 + 18. Let x be 2/j - 162/(-144). Let f be x/(-3) + 762/18. What is the greatest common divisor of f and 14?
14
Suppose 12*q - 1074 = 11*q - 2*x, -5*x = 2*q - 2149. Calculate the greatest common divisor of 48 and q.
16
Let g(o) = -40*o - 377. Let m be g(-35). What is the greatest common factor of 93 and m?
93
Let p be 6/9 + 32/6. Let a be 128/p*36/8. Calculate the highest common divisor of a and 64.
32
Let c = -16 + 18. Suppose -5*r + 310 = 3*h, -3*r = -0*h - c*h + 232. Calculate the highest common divisor of h and 22.
22
Suppose 0 = -15*b + 4*b - 385. Let k = 70 + b. What is the highest common divisor of 7 and k?
7
Let v(m) = 2*m**3 - 6*m**2 + 3. Let z be v(4). Suppose -3*b = 2*b - z. Let p be (-843)/(-12) - (-1)/(-4). What is the greatest common factor of b and p?
7
Let z be 2*5/(-30) + (-39)/(-9). What is the greatest common factor of z and 64?
4
Let z be (-4)/6 - 16/(-24). Let y be -11 + 6/(2 - z). Let o be 42*-1*y/24. What is the highest common factor of 2 and o?
2
Suppose -2*t + 6*j + 14 = 3*j, -5*t - 5*j = -60. Let d be (-4)/26 - (-54)/13. Suppose -46 = -n + d. What is the highest common factor of n and t?
10
Suppose 0 = 5*u - 3*f - 135, -4*u = -7*u - 5*f + 81. Suppose 0 = 24*o - u*o + 216. What is the greatest common factor of 48 and o?
24
Let y be (0 - -42)*(-4)/(-4). Calculate the highest common factor of y and 14.
14
Suppose 7*h + h - 40 = 0. Suppose 4*r = -h*s + 701, 5*s + 3*r - 2*r - 704 = 0. What is the greatest common factor of s and 94?
47
Suppose 7*t + 71 = 190. Calculate the greatest common factor of t and 527.
17
Suppose 0 = -772*j + 748*j + 3024. What is the highest common factor of 154 and j?
14
Suppose -1645 = -27*y + 20*y. What is the highest common divisor of y and 94?
47
Let x = 358 - 349. Calculate the highest common factor of x and 621.
9
Let d be 3/(-6) + (-1677)/(-78). Calculate the highest common factor of 24 and d.
3
Let c be ((-18)/7)/((-2)/14). Let z = -7 + c. What is the greatest common divisor of 44 and z?
11
Let q = -39 - 0. Let w = 42 + q. What is the highest common divisor of 15 and w?
3
Let n = 1415 - -410. Calculate the greatest common divisor of 73 and n.
73
Suppose -22*q + 24*q = -10, -4*y + 154 = -2*q. Calculate the highest common factor of y and 96.
12
Let i be (-1 - 11)*(-133)/76. What is the greatest common divisor of i and 9?
3
Suppose -3*d + 6*d = -3*d. Suppose d = t - 10*t + 441. What is the greatest common factor of t and 7?
7
Let b be -2 - 1/(3/(-12)). Let c be 2*29/2*b. Suppose -2*o - 8 = -16, 0 = -4*j + 3*o + 104. What is the greatest common factor of j and c?
29
Suppose -2 = -n + 3*m - m, -3*m = 0. Suppose -3*z = -3*d - 441, 3*z + 157 = n*d + 603. What is the greatest common divisor of 38 and z?
38
Suppose 0 = -1549*g + 1560*g - 14421. Calculate the greatest common divisor of g and 69.
69
Suppose 0 = -4*o + 116 + 76. Let h(l) = 4*l**2 + 29*l + 10. Let d be h(-10). What is the highest common factor of d and o?
24
Let t = -431 - -433. Let v(u) = u**3 - 7*u**2 + 7*u - 5. Let w = 10 - 4. Let z be v(w). What is the greatest common factor of z and t?
1
Suppose 14*t - 10*t = 84. Let s be (-1)/(5/3 - 2). Suppose -s*b + 6*b + 3*x - t = 0, -25 = -5*b + 5*x. Calculate the greatest common factor of b and 24.
6
Let s(k) = 72*k + 565. Let r be s(-6). Calculate the greatest common factor of r and 114.
19
Suppose 2*i = 4*d - 44, 0*i + 5*d = -2*i - 26. Let o = i + 14. Let m be 13 - (-5 + 2 - o). What is the greatest common divisor of 3 and m?
3
Suppose 0*j + 8 = 2*j. Let i be ((-10)/j)/((-2)/4). Suppose i*f - 316 + 1 = 0. Calculate the greatest common divisor of f and 9.
9
Suppose 6*g + 35 = 47. Calculate the greatest common factor of 54 and g.
2
Suppose 3*l = -5*i + 211, -2*i + 2*l - 126 = -5*i. Calculate the highest common divisor of i and 8.
4
Let n be (-10 + 10)*1/2. Suppose n*k - u + 61 = 2*k, 5*k - 145 = 5*u. What is the highest common factor of k and 20?
10
Let o be 56/12*-2*-6. Calculate the greatest common divisor of 70 and o.
14
Let c(h) = 2*h**3 - 2*h**2 + h - 1. Let d be c(3). Let v = d + -14. Calculate the highest common divisor of 3 and v.
3
Suppose o + 10 = -4*o. Let i(s) = -3*s - 2. Let y be i(o). Suppose -2*x + 5 = 5*z - y*z, 2*z + x - 25 = 0. What is the highest common divisor of 5 and z?
5
Let b = 1214 - 1173. Calculate the highest common factor of 2214 and b.
41
Let b(c) = -c**2 + 10*c - 4. Suppose 50 = 10*o - 30. Let n be b(o). Calculate the greatest common divisor of n and 60.
12
Suppose 0 = 4*y + 8, -4*s - 4*y - 4 = -84. Let v = -5 + s. Let d(u) = 25*u - 6. Let h be d(5). Calculate the highest common divisor of v and h.
17
Let b = 65 + 94. Suppose -5*k + b = v, -v + 102 = 4*k - 25. Calculate the greatest common divisor of 48 and k.
16
Let a(n) = -n**3 + 5*n**2 + 5*n. Let u(v) = -3*v + 1. Let b be u(2). Let l = -1 - b. Let d be a(l). What is the greatest common divisor of d and 396?
36
Let s(c) = 7 - 36*c**2 + c**3 + 13*c**2 + 11*c**2 + 14*c**2. Let t be s(-3). Let k be t/(-6) - (-82)/6. What is the highest common factor of 154 and k?
14
Suppose 2*v - 43 = 5. Let g = -282 + 285. What is the greatest common factor of g and v?
3
Let j = 82 - 50. What is the highest common divisor of j and 22?
2
Suppose 3*w = -4*w + 6118. What is the highest common divisor of w and 46?
46
Let n be 1/(-3) + (-692)/(-6). Suppose -j + 230 = 4*j. Calculate the highest common factor of j and n.
23
Let t(g) = -7*g + 40. Let k be t(-5). Calculate the greatest common factor of 45 and k.
15
Let q = 41 - 14. Let k = 1698 - 1455. What is the greatest common divisor of k and q?
27
Suppose 0 = -12*r + 1995 + 2445. What is the highest common factor of r and 74?
74
Suppose 60*v - 50*v - 720 = 0. Calculate the highest common divisor of v and 126.
18
Suppose 0*c + 3*c - 6 = 0. Suppose -x - 2*x + 43 = -c*l, 64 = 4*x + 4*l. What is the highest common divisor of x and 15?
15
Let h = -289 - -293. Calculate the greatest common divisor of 292 and h.
4
Suppose n - 5*l = 578, -2*l = -2*n - 6*l + 1212. Calculate the greatest common factor of 13 and n.
13
Let s be (4/12)/(3/27). Let a be 7/(-21) + 13/s. Suppose -w + 18 - 6 = a*q, 0 = -w + 3*q + 5. Calculate the greatest common divisor of 88 and w.
8
Suppose -5*l - 5*h + 140 = 0, -11 - 7 = -l + 4*h. Let a = l - 6. Calculate the greatest common divisor of a and 60.
20
Suppose 0*d = 5*d + n - 77, -3*d + 2*n = -54. Calculate the greatest common divisor of d and 144.
16
Suppose 3209 = 12*o - 3139. What is the greatest common factor of o and 23?
23
Suppose 0*f - 52 = -3*f + 2*q, 3*f = 3*q + 48. Suppose -3*b = 4*g - 0*b - 25, -2*g = -2*b - 30. Calculate the greatest common divisor of f and g.
10
Let n be 1326/14 + 4/14. Suppose 5*c = n - 20. Suppose -23*a + 25 = -18*a. What is the greatest common factor of c and a?
5
Suppose 0 = 5*b + 2 - 27. Let t be -3 + 0 - (0 - 4). Calculate the highest common divisor of t and b.
1
Suppose -294 = -3*m + m. Let b(v) = 2*v**2 - 4*v - 9. Let j = -5 - -10. Let n be b(j). Calculate the greatest common divisor of m and n.
21
Let l(k) = -14*k + 7. Let a be l(-2). Let b = 90 - a. Let z(w) = w**2 + 5*w + 5. Let y be z(-6). Calculate the highest common divisor of b and y.
11
Let o = 252 + -223. Let d(m) = -m**2 + m + 29. Let j be d(0). | {
"pile_set_name": "DM Mathematics"
} |
Let m = 1 - 1.3. What is the second biggest value in o, 4, m?
m
Let u = -314.889 - -318.9. Let m = 0.011 - u. What is the biggest value in m, -0.1, 3/2?
3/2
Let j = 115/88 + -1146/11. Let h = 103 + j. Which is the second biggest value? (a) -3/2 (b) h (c) -0.2 (d) -2
c
Let m be ((-4)/((-4)/13))/(-1). Let a = -15 - m. Let p be (7/((-84)/(-8)))/a. What is the second smallest value in p, 6/11, -0.3?
-0.3
Let l = 22.2 + -42.4. Let q = l + 20. Let t = -3.9 - 1.1. What is the second smallest value in t, 1, q?
q
Let b be ((-6)/4 + 1)*-6. Let d = 0.1286 - -171.6714. Let u = -172 + d. What is the second biggest value in 4, u, b?
b
Let c = -694 + 705. What is the third biggest value in 0.04, c, -4, 2/7?
0.04
Suppose -2*o + 5 = 5*k, -2*k + 3*o + 2 = -2*o. Suppose 4*a = 4*b, -16 = -5*a - k. What is the third biggest value in b, 0.4, -2/3?
-2/3
Let l be (-88 - -86)*(-2)/(-28). Let x(q) = q**2 - 4*q - 4. Let y be x(4). What is the third biggest value in l, 5, y, 0.5?
l
Let n = -0.01 - -0.06. Let t = n - 0.55. Let g = -1/760 + 3047/5320. Which is the second biggest value? (a) -0.3 (b) t (c) g
a
Let o = 34 - 34.1. Let s = 0.3 - o. Which is the third smallest value? (a) s (b) -4 (c) -11/6
a
Let w = -0.6 - -0.6. Suppose 0 = -5*q + i - 3302, 1326 = -2*q - 2*i + 5*i. Let n be (-2)/11 - (-100)/q. Which is the third biggest value? (a) w (b) n (c) 2/9
b
Let i be -4 - (-3 - ((-74)/(-16) - 4)). Which is the biggest value? (a) -0.5 (b) 5 (c) i (d) -5
b
Let i = 1.9 + -2. Let m(c) = -c**2 + 5*c - 4. Let x be m(1). Suppose 0 = 4*p - 7*p - l - 8, x = -2*p - 2*l - 8. What is the third smallest value in p, -1, i?
i
Let d = 2.24 - 3.24. What is the smallest value in d, -28, 0?
-28
Let l = -167 - -503/3. Which is the second biggest value? (a) l (b) -1/8 (c) 0.3 (d) 1
a
Let w = -194 + 198. Let k be 2 - (-6)/((-96)/28). Which is the second smallest value? (a) -1 (b) w (c) k (d) 5
c
Suppose v + b = 17, v = -2*b + 6*b + 7. Let p be ((-6)/v)/(4/(-40)). What is the biggest value in -7/4, 1, p?
p
Let l = 4.81 + 6.65. Let g = l - 6.55. Let d = 0.09 + g. Which is the third biggest value? (a) 2 (b) d (c) 3
a
Let t = 62.527 + 0.473. Which is the third biggest value? (a) -4 (b) -5 (c) t
b
Let u = 137/1309 + 1/77. Which is the third biggest value? (a) -0.3 (b) u (c) 6 (d) -2
a
Let k(q) = q. Let r be k(3). Let p = -3.8 + 3.64. Let l = -0.16 - p. What is the second biggest value in r, -2, l?
l
Let u = 0.03 + 0.27. Let v = 0.2 - -100.8. Let q = -96 + v. Which is the third smallest value? (a) 1/9 (b) u (c) q
c
Let o = 9 + -12. Let p = o - -2.9. What is the third smallest value in -3, p, -2?
p
Let g = 39 + -65. Let l = g + 29. What is the fourth biggest value in 2, l, -0.3, -21?
-21
Let v = -10 - -9.6. Let r be 1365/325 + 1/(-5). What is the second smallest value in 0.3, 6, r, v?
0.3
Let n = -3 - -2. Let d = 383/35 - 54/5. Let u be 4/6*(-9)/2. What is the smallest value in n, u, d?
u
Let a = 3 + 5. Suppose a = r + r. Let b = -1592/77 - -146/7. What is the third smallest value in -2, b, r?
r
Let y = 32 - 60. Let k = 27.8 + y. Which is the third smallest value? (a) k (b) 1 (c) -5/6
b
Let j = -1328 + 1327.8. What is the fourth smallest value in 9/5, j, 1/17, -4?
9/5
Let d be ((-2)/3)/(250/(-375)). Which is the third biggest value? (a) -4 (b) 1276 (c) d
a
Let k = -134 - -133.5. Which is the biggest value? (a) 5 (b) k (c) -2/5 (d) -0.03
a
Let u = 1.84 + 0.46. Let f = u - 5.3. Which is the second biggest value? (a) f (b) -0.4 (c) -4
a
Let j = 0.26 - -1.74. Let k = 10 - 3. Which is the smallest value? (a) k (b) j (c) 6
b
Let i = 17 - 24. Let p(r) = 4*r - 99. Let s be p(26). What is the second smallest value in -2, 0.2, s, i?
-2
Let j be 66/(-110) + 4/10. Which is the smallest value? (a) -6 (b) j (c) 0
a
Let g = 25.8 + -31. Let f = g + 3.2. What is the second smallest value in 0.4, -3, f?
f
Let l = -0.12 + -5.88. Which is the second biggest value? (a) -0.4 (b) l (c) 1/9
a
Let b be -1 + (54/15)/2. Let n(a) = -4*a - 4. Let p be n(-2). Let l(t) = -t - 1. Let i be l(p). What is the third biggest value in i, b, -0.3?
i
Let f be 1*2*4/(-8). Let o be (-6 - -2) + (f - -89). Let y = o - 171/2. What is the second biggest value in 2, 1/3, y?
1/3
Let r = 176 + -176.03. Which is the smallest value? (a) r (b) -5 (c) -6
c
Suppose -4*u + 3*y = -9*u - 31, u - 4*y = 3. Let m = -2.05 + 2. Let s = -2.95 + m. Which is the biggest value? (a) s (b) 0.3 (c) u
b
Let o = -7 - -7.3. Let y = -0.39 + 0.4. Let d = 0.0804 + -0.0804. Which is the third biggest value? (a) o (b) y (c) d
c
Let u = -0.03 + -0.27. Let x be (9/(-189))/((-81)/(-21) - 4). What is the biggest value in -3, -0.2, x, u?
x
Let t = -2.12 + 1.12. Let u = -3.91 + -0.09. Let o = t + u. Which is the biggest value? (a) 0 (b) o (c) -3
a
Suppose 86 - 417 = -c. What is the second smallest value in 0, c, -0.3?
0
Let x = 31.7 + 3.3. Let f = 26 - x. Let t = 9.1 + f. Which is the second smallest value? (a) 3 (b) 0.9 (c) t
b
Suppose 2*w = 2*b - 6, 46*b - 47*b - 3*w = 9. What is the smallest value in -0.2, -63, 2/9, b?
-63
Let j = 2.68 - 2.28. Which is the second smallest value? (a) j (b) 0.32 (c) -1 (d) 0.3
d
Suppose -271 = 5*x - 346. What is the third biggest value in 1, x, -1/5, -5?
-1/5
Let q be -2 + 1 + (-9)/(-7). Let r = -0.9 + 2. Let y = r - -1.9. Which is the third biggest value? (a) -2/3 (b) q (c) y
a
Let y(w) = 3*w**3 + 6*w**2 + 5*w - 6. Let s be y(-3). Which is the fourth biggest value? (a) s (b) 2/19 (c) 0.5 (d) -4
a
Let f = -27 + -10. Let w = f - -40. Let v = 902/5 - 181. Which is the smallest value? (a) w (b) v (c) 2
b
Let q = -2 + 3. Let d = -4.626 - -0.026. Let f = 2.6 + d. Which is the third biggest value? (a) f (b) -3 (c) q
b
Let g be -1 + (25/15)/((-5)/(-2)). Which is the biggest value? (a) -6/7 (b) g (c) 5
c
Let k = -3391/9 + 377. Which is the fourth biggest value? (a) 0 (b) k (c) -1 (d) -5
d
Let y be (-2)/(1 - (-1 + 4)). Let z = -10.3 + -2.7. Let s = 12 + z. What is the biggest value in y, -4, s?
y
Let h(v) = 3*v + 14. Let n be h(-4). Let i be (-2)/(-2) - (n + (-11)/9). Let y = -2/57 - 17/57. Which is the second biggest value? (a) 2/15 (b) y (c) i
a
Let o = -25 - -74/3. Let z = -0.014 - 9.986. Let t = 6 + z. What is the biggest value in -1, o, t?
o
Let r(n) = 41*n + 7. Let d be r(-5). Let v = 1382/7 + d. What is the second smallest value in -4, -2, 0.5, v?
-2
Let w(i) = 15*i - 10. Let h be w(1). Which is the second smallest value? (a) -1/8 (b) -51 (c) h
a
Let p(x) = -2*x. Let m be p(-1). Suppose m*t = -8 + 48. Let h be 8/t - (-14)/40. Which is the second biggest value? (a) 2 (b) -2/3 (c) h
c
Let l = -0.04 - -3.04. Let p(h) = 2*h**2 + 23*h + 63. Let s be p(-6). Let r = 0.3 + -0.1. Which is the biggest value? (a) l (b) r (c) s
a
Let h = 155 - 155. Suppose 0 = 2*l + 1 + 7. Which is the third biggest value? (a) l (b) 4 (c) h (d) -2
d
Let w = -1129 - -1144. Which is the third biggest value? (a) w (b) 3 (c) -3/5
c
Let w(g) = 2*g + 3. Let u be w(-2). Let n(s) = -s**2 + s + 2. Let k be n(u). What is the smallest value in 4, 2/5, k?
k
Let k = -2222 - -2218. What is the third biggest value in k, 9, 3?
k
Suppose -13*g - 87 + 334 = 0. What is the third biggest value in -4, -3, -0.1, g?
-3
Let f = -2.9482 - 0.0518. Let j = 0.05 - 0.25. Suppose 0*p - p + 3 = 0. What is the biggest value in p, j, f?
p
Let p = -5601/11 + 509. Which is the third smallest value? (a) 0.1 (b) p (c) -5/11 (d) -1/2
b
Let b = -24.48 + 24. Let k = b - 1.52. What is the smallest value in k, -1/10, 0.2?
k
Let u = -1309 + 1309.9. What is the fourth smallest value in 0.15, 0.3, -2, u?
u
Let r be ((-32)/5)/(2/20). Let y = -257/4 - r. Let w = 12 + -9. Which is the third biggest value? (a) -1/3 (b) y (c) w
a
Suppose -4*i = f - 32, 4*i - 7 = 5*f + 1. Let s(y) = -2*y**2 + 15*y - 9. Let j be s(i). Which is the third smallest value? (a) 3/4 (b) -5 (c) j
a
Let d(i) = i**3 + i**2 + 4*i - 4. Let n be d(-5). Let g be n/(-44) + -3 + 0. Let o = 8 - 33/4. Which is the second smallest value? (a) -3 (b) g (c) o
c
Suppose -15*l - 30 = -20*l. Let y be 2/l + 26/30. What is the smallest value in 4, y, -2, -2/11?
-2
Let m = -14.6 + 27.5. Let h = -34 - -47. Let t = m - h. What is the third | {
"pile_set_name": "DM Mathematics"
} |
earest to 232 in 5, -1/94, -483?
5
Which is the nearest to -5/3? (a) 4581 (b) 0 (c) -149/3
b
What is the closest to 2 in 8.8, 4.75, 6, 2?
2
What is the nearest to -29.6 in 1198, -2, 6?
-2
What is the closest to -2 in -2, -166.2, 1.3, 0.4?
-2
What is the closest to -0.4 in -160/17, 2/13, 107, 3/2?
2/13
Which is the closest to -297/4? (a) 104 (b) -0.3 (c) 1
b
What is the closest to 8 in -0.07063, 3, -9?
3
What is the closest to -26.6 in -19, -1/7, 2/7, 8, 17?
-19
Which is the closest to 4.7? (a) 1/5 (b) 2/23 (c) -1 (d) 413
a
Which is the nearest to -1/3? (a) 1/4 (b) -1/4 (c) -1020 (d) 0.037 (e) 1/3
b
What is the nearest to 0.1 in -2/11, 2913, 0.2347, 2/11?
2/11
Which is the nearest to 0.1? (a) -0.3 (b) 17 (c) -344 (d) -2 (e) 9
a
Which is the closest to 62? (a) -0.0455 (b) 1069 (c) -5
a
Which is the nearest to 2/15? (a) -3/5 (b) -1/19 (c) 17.56 (d) -2
b
What is the nearest to 2/3 in -1/3, 4, -17, 146/81?
-1/3
What is the closest to 0 in 70, -2, 3, 368?
-2
Which is the nearest to -0.1? (a) 20 (b) 1.64 (c) 652
b
What is the nearest to 2/7 in 2/15, -92, 13, -0.05, -5?
2/15
What is the closest to 3/327008 in 0, -0.2, -1/7?
0
Which is the closest to 0.67? (a) 0.5 (b) -5 (c) 1 (d) 430 (e) 1.3
a
What is the closest to -1 in 3, 2/7, -22724, 7, -0.5?
-0.5
Which is the nearest to 0.3? (a) 0.18 (b) -22504 (c) 18
a
What is the closest to -13118 in 59, 2/3, -33?
-33
What is the nearest to -0.3 in 6/11, 4/3, 26, 149?
6/11
What is the nearest to 1/5 in -2, -0.19, 42581?
-0.19
Which is the closest to -83? (a) -0.1 (b) -3 (c) -0.01 (d) -247/14
d
Which is the closest to 0? (a) -5/2 (b) 544 (c) 2 (d) 0.3 (e) 2/9 (f) 4
e
What is the nearest to -9 in 0.101, 4, 7.6, 0.2?
0.101
Which is the nearest to -3? (a) 4 (b) 220 (c) 9.68 (d) 5
a
What is the nearest to 1/2 in 5, 2, -3/5, 13/710201?
13/710201
Which is the closest to 0? (a) 88 (b) -0.4 (c) 2233 (d) 3/5 (e) -0.1 (f) -4
e
Which is the nearest to 4? (a) -7/5 (b) -193/20 (c) 0.4 (d) 1/5
c
Which is the closest to 2133? (a) 8 (b) -4 (c) -378
a
What is the closest to 1.2 in -3, -7, 2/13, -12612?
2/13
What is the closest to -42589 in -0.151, -1, -1/4, 0, 0.4?
-1
What is the closest to -0.1 in -0.167, -0.4, 1/3, -11, -7?
-0.167
What is the nearest to 5/11 in -273, 25.18, 10?
10
Which is the nearest to 3/7? (a) 2 (b) 2/3 (c) 62 (d) 37/5 (e) 11
b
Which is the nearest to 4/2607? (a) 2/9 (b) 4/3 (c) 2 (d) -9 (e) -17
a
Which is the nearest to -0.1? (a) 0.1 (b) -1684 (c) 16 (d) 0.01
d
Which is the nearest to -1? (a) -2/17 (b) 3751.2 (c) 0 (d) 1/3
a
Which is the nearest to -1/2? (a) -1/4 (b) 0.7 (c) -14 (d) 2/23 (e) 4/3
a
What is the nearest to 0.7 in -134/7, -5, 11/6?
11/6
Which is the nearest to 1? (a) -16 (b) -6 (c) 4 (d) -414 (e) -1
e
What is the nearest to -3 in 0.23, -0.1, -2, -30/19, 2/15?
-2
What is the nearest to 0.10179 in -7, -0.2, 4?
-0.2
Which is the closest to 0.264? (a) 0.09 (b) 1 (c) -2/5167 (d) -2
a
What is the nearest to 0 in 2, 15.1, 1550, -3/7, -1?
-3/7
What is the closest to -1 in -2/5, -36, -2, -31?
-2/5
Which is the closest to -0.24? (a) -23387 (b) 0.1 (c) -5 (d) 5
b
Which is the nearest to -0.4? (a) -1 (b) -2/9 (c) 138 (d) 0.0212 (e) -0.05
b
Which is the closest to -0.17? (a) -0.3 (b) -1/70 (c) 3 (d) 0 (e) -1
a
What is the nearest to 3644/5 in 8, 10/3, -1/3?
8
What is the closest to -0.1 in -1, 4, -3, -0.5, -1/3, -70244?
-1/3
What is the nearest to 1 in 116, -1/8, -5, -914, -4?
-1/8
What is the closest to -2 in 10, -51, -0.1, 88, 0.11, 3?
-0.1
Which is the nearest to -130? (a) -1 (b) -0.47 (c) -1/2 (d) 0.07
a
Which is the nearest to 0.1? (a) 2/7 (b) -15365 (c) 0.2 (d) 19/3
c
What is the closest to -0.3 in 9, 3.888, -0.3, -4, -3?
-0.3
What is the closest to 0 in -85, -0.158, -5?
-0.158
Which is the nearest to 0? (a) -0.3 (b) 0.4 (c) -0.40223 (d) 2
a
What is the closest to 0 in -2503, 0.134, 1, 1/2?
0.134
What is the nearest to -2/7 in 253, 0.2, -20053?
0.2
What is the nearest to 1 in 2160, 3, -0.6, 8, -7, -4/9?
-4/9
What is the nearest to 0.5 in -1/4, -49251, -5, -48, 2/7?
2/7
What is the nearest to -0.2 in 13, 574, 416/21?
13
What is the nearest to 1 in -0.4, -3, 0.4, -28/9, 34.27?
0.4
What is the closest to 1 in -4, -5, -8, 1.7, -2/1563?
1.7
Which is the nearest to 2/3? (a) 2/485 (b) 23 (c) -9/4 (d) -2/11 (e) 3/2
a
Which is the nearest to -10/27? (a) -2 (b) -0.431 (c) -4 (d) -4/5 (e) 1/10
b
What is the nearest to 0.2 in -3, -332599, 5, -0.2, 1/3?
1/3
What is the closest to -0.1 in -3.4, 12179, -7?
-3.4
Which is the nearest to -1? (a) -6 (b) 3 (c) -111.4 (d) -121
b
Which is the closest to -1.515? (a) 87/10 (b) -0.02 (c) 0.2
b
What is the closest to 2/3 in 164, -3, -1644?
-3
Which is the closest to -1/2? (a) -47 (b) -12 (c) 4 (d) 5 (e) 2/143
e
Which is the nearest to 1573? (a) -1 (b) 0.5 (c) 2 (d) 0.2 (e) 2/167
c
Which is the closest to 0? (a) 2 (b) 0.4 (c) -4/5 (d) -2/251 (e) -70.3
d
What is the closest to -1 in -0.08, -4, 113, 1/6, -55?
-0.08
Which is the nearest to 0.2? (a) 0.4 (b) -604 (c) 51 (d) 2 (e) 0.3 (f) -5
e
What is the nearest to 1/4 in 0.02, -3, 3.1, -0.074?
0.02
Which is the closest to -1? (a) 0 (b) 8 (c) 2816 (d) -83 (e) -0.2
e
Which is the nearest to -2? (a) 573471 (b) -0.1 (c) 5
b
What is the nearest to 11.52 in 0.02, -1/4, -1, -0.4?
0.02
Which is the nearest to 4/3? (a) -0.6087 (b) -2 (c) -2/5
c
Which is the closest to -1? (a) 115 (b) 44 (c) -1151
b
What is the closest to -3 in -1/5, -12, 6/307, 2, 5?
-1/5
What is the nearest to -0.4 in 41, 0.4, 1, 17778?
0.4
Which is the nearest to 646? (a) 0.3 (b) -9 (c) -4435
a
What is the closest to -2/5 in 90683, -5, -0.099?
-0.099
What is the closest to 0 in -20, 0.97542, -2?
0.97542
Which is the closest to -2/71? (a) 0 (b) 0.1 (c) -51 (d) -1/22 (e) -3
d
Which is the closest to 12? (a) 11/2 (b) 0 (c) -16 (d) -11.7 (e) 10
e
What is the nearest to 2 in 1, -4/3, 1/2, -1.07, 1.1?
1.1
Which is the closest to -9? (a) 1/5 (b) 0.61 (c) 0.5 (d) 0 (e) 0.3 (f) 3493
d
What is the nearest to -1 in -4, -0.22, -384/37, 0.08, -0.2?
-0.22
Which is the nearest to -109579? (a) 2 (b) -2 (c) -54
c
What is the closest to 0.2 in -5, -8, -6/11, 40.1, -1/11?
-1/11
Which is the nearest to -1? (a) 0.071 (b) -1.39 (c) -117 (d) 4 (e) -5 (f) -2
b
What is the closest to 0.1 in 64.4, 0.5, -62/431?
-62/431
Which is the nearest to 6686? (a) 2 (b) -2/7 (c) 10 (d) -4 (e) -1/6
c
Which is the closest to -2? (a) -3 (b) 1/20 (c) 0.3 (d) 0.5 (e) 0.4 (f) -2.3587
f
What is the closest to 0.0436 in -6, 9, 16?
-6
Which is the closest to 395? (a) 0.7 (b) -1/496 (c) -1/5
a
What is the closest to 4 in 1/4, -3/1295, 4/3, -35, -5?
4/3
What is the closest to -3/7 in 18, -4, -661?
-4
Which is the closest to -5? (a) -5 (b) -1/19 (c) -1/4 (d) -0.3 (e) 1/8 (f) -1
a
What is the nearest to 0 in -0.4, -2/3, 365, 6/5, -8/3?
-0.4
Which is the nearest to -2? (a) -3/7 (b) -1.3 (c) -19.52 (d) 657
b
What is the nearest to -46 in 2/21, 1/7, 2, -46?
-46
What is the closest to -3 in -2, 1, -3, -1, 45660?
-3
What is the nearest to 2 in 1/2, 10/7, 36, 0.07?
10/7
Which is the closest to -381? (a) 4 (b) 81 (c) 6 (d) -0.3
d
Which is the closest to -21394? (a) 1/4 (b) -4/9 (c) 0
b
What is the closest to 2 in -12, 3.2, -1/752?
3.2
What is the closest to -0.4 in -0.52, -0.03, -10, -3.8?
-0.52
Which is the nearest to 12550? (a) -0.252 (b) -3 (c) 0.04 (d) 0.3 (e) 2
e
Which is the nearest to 2/5? (a) 13/7 (b) 12.2 (c) -3.8
a
Which is the closest to 1? (a) -2/13 (b) 2/15 (c) 1/1686 (d) 0 (e) 5 (f) -82
b
What is the closest to -117 in -0.2, -1, 0.2036?
-1
What is the nearest to 0.1 in -13, 63, -0.338, 2, -3?
-0.338
Which is the nearest to -1/2? (a) 3/4 (b) 719 (c) 5 (d) -55
a
Which is the closest to 125? (a) -5 (b) 3272/17 (c) -2/3
b
Which is the nearest to 0? (a) 0.2 (b) 2.76 (c) 2/31 (d) -5
c
What is the nearest to -3 in 4/7, -2/7, 4344?
-2/7
Which is the nearest to -145.7? (a) 60 (b) -0.5 (c) -8 (d) -1/5
c
What is the closest to 5 in -4, -0.0626, 0.394?
0.394
What is the nearest to 2 in 321.589, -4, -5?
-4
Which is the closest to 0.3? (a) -0.4 (b) 0.04 (c) 2/37 | {
"pile_set_name": "DM Mathematics"
} |
3*b = -i + 7, -v*i - 3 = 2*b - 1. Calculate the smallest common multiple of b and 12.
12
Let g(q) = -q + 1. Let l be g(2). Let y(b) = -13*b**2 - 2*b - 1. Let z = 110/3 - 36. Find the common denominator of y(l) and z.
3
Let o = 1/318844 - 659087/6822942756. Let x = -1476511/213990 + o. Calculate the common denominator of (-4)/32*824/10 and x.
10
Suppose 1 + 2 = -i. Let w = 5 - i. Calculate the smallest common multiple of 22 and w.
88
Let j = -5 + 9. Calculate the lowest common multiple of 2*1 + 8/j and 3.
12
Let x = -1/176 + 2423/528. Find the common denominator of x and -101/4.
12
Let y = 966 - 3815/4. Suppose -q = s - 3, -4*s + 6*q - 3*q + 5 = 0. Find the common denominator of (-873)/6*s/12 and y.
4
Let w = 5542/3 - 1831. Find the common denominator of 25/2 and w.
6
Suppose 3*u = u + 16. What is the lowest common multiple of (1/21)/((-22)/132)*-28 and u?
8
Let p = -1662/11 - -151. Let i = p + 497/22. Let c = -27 + -23. Find the common denominator of c and i.
2
What is the common denominator of 4/9 and (-2)/80*13*36?
90
Suppose 0 = -3*o - 2*o + 465. Calculate the common denominator of 19/20 and 3 + 2/((-16)/o).
40
Let q = -103 + 112. Calculate the lowest common multiple of q and 27.
27
Calculate the common denominator of ((-134)/(-14))/(30/21) and 8/11.
110
Let m(o) = o**3 + o**2 - 7*o - 3. What is the smallest common multiple of m(3) and 11?
132
Let h be (-2)/(-2) + -1 + 3. Suppose h*a = a - 5*w + 47, 4*a - 49 = -w. Calculate the lowest common multiple of a and -2 + 6 - (2 + -4).
66
Let l = 1301 + -23447/18. Find the common denominator of (-6)/28*(-215)/15 and l.
126
Let h(c) = 5*c - 1. Let j be h(3). Let n be (585/j)/((-10)/(-35)). Let m = 3859/28 - n. What is the common denominator of m and 13/11?
77
Let w be (-275*4)/(-2) + 3. Let i = 141 - w. Let q = 903/2 + i. Calculate the common denominator of 73/2 and q.
2
Let y = -31317 + 46303. Let u = y - 329611/22. Let r = -132/95 + 1877/380. Find the common denominator of u and r.
220
What is the common denominator of ((-10)/14)/(450/(-5075)) and (-2547)/(-78) - (-6)/(-39)?
18
Let o(y) = -2*y + 1. Let h be o(-1). Suppose 5*b = 5*c + 45, -h*b - 5*c + 39 = -2*b. What is the lowest common multiple of 18 and b?
126
Find the common denominator of -31/11 and 3/21 + 734/(-140).
110
Let q = -43 + 65. Suppose -j - 5*s + 29 = -2*s, 3*s - 57 = -3*j. Calculate the lowest common multiple of j and q.
154
Let p = -6445 + 51487/8. Find the common denominator of ((-4)/5)/((-36)/30) and p.
24
Let c = -1 + 1. What is the common denominator of c/2 - 71/18 and -85/14?
126
Let i be ((-9)/(-30))/((-14)/(-1985)). Let u = 268/7 - i. Calculate the common denominator of u and 52/3.
12
Let q = 3 + 0. Suppose -k + 2 - q = 0. What is the lowest common multiple of 6 and ((-9)/6)/(k/8)?
12
Suppose 3*h = 4*h - 6. Calculate the lowest common multiple of h and 9.
18
Let b = 108 - 94. Calculate the lowest common multiple of b and 3/((3/14)/1).
14
Let g = -2 + 2. Let x(z) = -z**3 - z**2 + z + 7. What is the least common multiple of x(g) and (-5 - 0)*9/(-15)?
21
Suppose -3*m - 2*m - 40 = 0. What is the common denominator of -7/6 and (-1)/m*(-3 + 78)?
24
Suppose k + 14 = -0*k. What is the lowest common multiple of ((-7)/k)/(1/4) and 3?
6
Let m(x) = x**2 + 4*x + 7. Calculate the smallest common multiple of 20 and m(-7).
140
Let x(g) = -g**3 - 11*g**2 + 5*g + 9. Let j(k) = -2*k**3 - 23*k**2 + 11*k + 18. Let v(o) = 4*j(o) - 9*x(o). Find the common denominator of v(-7) and 5/9.
9
Find the common denominator of (1/(-3))/((-8)/(-304)) and -11/5.
15
Suppose -4*m - 1 + 13 = 0. Suppose -5*u + m*u = -4. Calculate the smallest common multiple of u and 8.
8
Let i = -681165 - -6107213/9. Let j = 4024 + -1441. Let y = j + i. What is the common denominator of y and 53/6?
18
Calculate the common denominator of ((-1)/2)/(108/(-711)) and -113/6.
24
Suppose -5*z = -6*h + h - 35, -5*h - 27 = -3*z. What is the lowest common multiple of z and 17?
68
Let g(a) = 34*a**3 - 2*a**2 + 1. Let y(h) = h**3 + 6*h**2 + 6*h + 6. Let z be y(-5). Let q = 6097/3 + -2057. Find the common denominator of g(z) and q.
3
Let o = 29990 + -1529425/51. Find the common denominator of 11/30 and o.
510
Let i(q) = q**3 + 4*q**2 + 2*q - 2. Let y be i(-3). Find the common denominator of y/(-3) + (-518)/120 and 43/12.
60
What is the smallest common multiple of 20/1 + 0/3 and 2/4 + (-88)/(-16)?
60
Suppose 3*s - 21 = 5*s - u, 0 = 5*s - 4*u + 51. Let b = 15 + s. Calculate the least common multiple of b and 3.
12
Let n = -6 - -8. Let x = -2685/86 + -12/43. Calculate the common denominator of x and n*-1 - (-63)/16.
16
Let o = 5/2744 + -42587/30184. Calculate the common denominator of o and 67/278.
3058
Let u = 6779/1370 - 34/137. Calculate the common denominator of (-42)/4*3/36 and u.
40
Let i be ((-4)/6)/((-4)/(-12)). Calculate the least common multiple of i/(-4) - 15/(-2) and 12.
24
What is the common denominator of 61/6 and ((-21)/105)/(-1 + 674/710)?
18
Let w = 19 + -18. Calculate the common denominator of -1/2 and w*(-1)/(-4)*-194.
2
Suppose 0 = 2*b + 3*b - 25, 5*k - 35 = -b. What is the least common multiple of 17 and k?
102
Let x = -13247/7 - -1888. Suppose 0*p + 111 = 3*p. What is the common denominator of x and p?
7
Let g(l) = l**3 + 5*l**2 + 7. What is the smallest common multiple of 11 and g(-4)?
253
Let y = -43/60 + -8/15. Let p = 59/20 + y. Calculate the common denominator of -38/9 and p.
90
Let y = -89 - -100. What is the least common multiple of y and 11?
11
What is the least common multiple of 44 and 3 + 414/24 + 2/(-8)?
220
Suppose -32 = 5*y - x, -x = 3*y + 3 + 13. Let d = y + 12. What is the least common multiple of 22 and d?
66
Let n = -19/30 + 169/180. What is the common denominator of n and -49/12?
36
Calculate the common denominator of 23/2 and (-71)/40 - 8/(-20).
8
Suppose -j = 5*f - 4*j - 23, 4*j = -3*f + 8. Calculate the least common multiple of 10 and f.
20
Let b = -10 - -13. Suppose -n = -3*l + 27, 0 = 5*l + 2*n - b*n - 47. What is the lowest common multiple of 6 and l?
30
Suppose -p - 17 = -3*s, -3*s - 5*p + 8 = -33. Calculate the least common multiple of 9 and 51/7 - 2/s.
63
Let p = -8 - -13. Let o(x) be the first derivative of x**2/2 + 2*x + 7. Calculate the lowest common multiple of p and o(2).
20
Let l = 39 - 19. Let i = 6 + -3. Suppose 0 = -2*u + 5*f, -5*f + 73 = 5*u + i. What is the least common multiple of u and l?
20
Suppose 3*c - 1430 = 5*c. Let k = -6442/9 - c. Find the common denominator of k and -77/4.
36
Suppose 1 + 4 = o. Let p(r) = 2 + 0 + 0*r**3 - 5*r**2 + 4*r + 12*r**3 - 11*r**3. Calculate the least common multiple of p(o) and 22.
22
Find the common denominator of 0 + 163/34 - 2 and 81/2.
34
Let a(f) = -1 + 5*f - 4*f + 10*f**3 + 0*f. Calculate the lowest common multiple of a(1) and 8/(-3)*(-6)/8.
10
Let a be (-2)/(-4) + 33/6. Let x(d) = 2 + 3*d - d - d. What is the smallest common multiple of 16 and x(a)?
16
Let d(j) = -j - j - 3*j + 6*j - 9. Calculate the smallest common multiple of 14 and d(13).
28
Let s = 15659 + -610654/39. Calculate the common denominator of s and -23/3.
39
What is the common denominator of 12/30 - (-16)/5 and (-1)/(-1 + (-51)/(-55))?
20
Find the common denominator of 3/(38/66 - 1) and -45/16.
112
Let t = 2/9807891 + 128316634813/15398388870. Let b = t + -26/785. Find the common denominator of b and -93/2.
10
Let t = -92 + 106. What is the smallest common multiple of t and (-13)/(-3) - (-1)/(-3)?
28
Let h(o) = -o**2 + 8*o + 10. Calculate the lowest common multiple of h(8) and 1.
10
Let i = 20979/16 - 1312. Calculate the common denominator of i and 75/44.
176
Let h(j) = -j - 4. Let n be h(-6). Suppose -n*o = 2*f - 22, o = -2*f - 3*o + 32. Calculate the common denominator of 0 - 1*117/f and -57/2.
2
Suppose -c - 5 = 4*c. Calculate the least common multiple of 8 and c/(-6) + 642/36.
72
Let a = 31 + -13. What is the lowest common multiple of (-316)/(-36) - (-4)/a and 11?
99
Suppose 3*f + 0*f - 33 = 0. Calculate the smallest common multiple of f and 8.
88
Suppose -4*f + 18 = -c, 0*c - 3*c + 4*f - 14 = 0. What is the smallest common multiple of 28 and c?
28
Suppose 10 = 3*k - k. Suppose v - k*v + 48 = 0. Let g = -37 - -49. Calculate the lowest common multiple of v and g.
12
Let s = -1 + 3. Suppose 4*g - 70 = s. What is the low | {
"pile_set_name": "DM Mathematics"
} |
d (-6*t**3 + 4*t + 2*t**3 - 7*t**3)*(4 + 3 + 1)*(3 - 1 - 1).
-88*t**3 + 32*t
Expand 40*w**5 + 54*w**5 + 135*w**5 - 2*w**3 + 2*w**3 + w**5 + 2*w**5 - 2*w**5 + 2*w**5 + (-w + 3*w - w)*(2*w**4 - 3*w**4 + 3*w**4).
234*w**5
Expand 0*q - 4*q - 13*q + 0*q + 2*q - 4*q + (-q + q - 2*q)*(-3 + 2 - 1) + q - 6 + 6.
-14*q
Expand -141*b + 231*b + 105*b - b + 4*b - 4*b + (-2*b + b + 3*b)*(6 - 1 - 3) + 1 - 2*b - 1 + b + 0 + 0 - 3*b + 0*b + 5*b.
199*b
Expand (3121 - 3121 - 24*t)*(-1 - 3 + 6 + (-1 + 1 + 1)*(2 - 3 + 3)).
-96*t
Expand (4*c**2 + 0*c**2 - 3*c**2)*(-119 - 115 + 175).
-59*c**2
Expand (0 - 4*p + 0)*(35 - 40 + 70).
-260*p
Expand (4*g**4 + g**4 - 4*g**4)*(18 - 93 - 92).
-167*g**4
Expand ((m + 1 - 1)*(-3 + 3 + 2) - 7*m + 9*m + 19*m)*(3*m**2 - 3*m**2 - m**2).
-23*m**3
Expand ((-1 + 1 - f)*(4 + 3 - 5) + 19*f + 193 - 193)*(0 - 1 + 16).
255*f
Expand (53*n**2 - 92*n**2 - 112*n**2)*(n + 1 - 1).
-151*n**3
Expand 3*w**3 + 0*w**3 - 2*w**3 + (0 - w**3 + 0)*(3 - 3 - 1) - w**3 - 49*w**3 - 55*w**3.
-103*w**3
Expand (-b + 4*b - 2*b)*(14 - 14 - 6*b) + b**2 + 10*b + 2*b**2 + 0*b.
-3*b**2 + 10*b
Expand (-3*d**4 + d**4 + 0*d**4)*(4*d - 4*d + d) + (0*d**2 + 0*d**2 - d**3)*(726*d**2 + 710*d**2 - 2975*d**2).
1537*d**5
Expand (-9*j**2 - 10*j**2 - 4*j**2)*(-60*j + 4 + 58*j - 2).
46*j**3 - 46*j**2
Expand (5*w + 0*w - 11*w)*((-5 + 2 + 4)*(0 + 2 - 1) + (-3 + 0 + 1)*(5 - 4 - 3) - 2 - 1 + 5 - 2 + 6 - 2)*(-3*w - 2*w + 6*w).
-54*w**2
Expand (-10*y**2 - 6*y + 6*y)*(3 + 3 - 4) + (5*y + y - 5*y)*(10 - 10 - 22*y).
-42*y**2
Expand (5*w**2 + 2*w**2 + 5*w**2)*(8 - 19 - 7 + (1 + 0 + 2)*(6 - 3 - 1)).
-144*w**2
Expand (-166 + 120 - 178)*(h + 4 - 4 + (1 - 1 + 2*h)*(5 - 4 - 2)).
224*h
Expand 35*l**5 - 6*l**5 - 16*l**5 + (-2*l**3 + 4*l**3 - 3*l**3)*(2*l**2 - l**2 - 7*l**2).
19*l**5
Expand (4 - 6 + 0 + 0 + 6 - 3 + (-2 - 1 + 1)*(3 - 7 + 2) + 2 + 1 - 1 - 4 + 4 + 2)*(0*d + 2*d**2 + 0*d) - 3*d**2 - d**2 - 3*d**2.
11*d**2
Expand 12*l**4 - 22*l**4 - 15*l**4 + (-l**2 + 0 + 0)*(5*l**2 - 2*l**2 + 0*l**2).
-28*l**4
Expand (-4*h**2 + 4*h**2 - 2*h**2)*(-38 + 53 - 83).
136*h**2
Expand -4 + 2*w**3 + 4 + (-2 - 2*w + 2)*(0*w + 0*w + 2*w**2) + (-1 - w**2 + 1)*(-2 + 2 - w) - 3*w**3 + 0*w**3 + 0*w**3 - 4*w**3 - w**3 - 4*w**3.
-13*w**3
Expand -122*z**3 + 261*z**3 - 111*z**3 + (0*z - 3*z + z)*(12*z**2 - 3*z + 3*z).
4*z**3
Expand (-6 + 6 + 6*h**2 + 2)*(4 + 5*h - 4)*(0 + 1 - 3).
-60*h**3 - 20*h
Expand (186*h**2 + 6301*h - 6301*h)*(h + 1 - 1).
186*h**3
Expand (-6*t**2 - 96 + 96)*(3*t**2 - t**2 + 4*t**2).
-36*t**4
Expand (i**2 - 2*i**2 + 5*i**2)*(2*i**2 + 2*i**2 - 5*i**2 + (0 + 0 - i**2)*(1 + 2 - 6) - 11*i**2 + 2*i**2 + 4*i**2).
-12*i**4
Expand (29 - 29 + 3*w)*(-6*w**3 + 0*w**3 + w**3)*(1 + 2*w - 1).
-30*w**5
Expand (-4*n - 2*n**3 + 4*n)*(2 - 2 - n**2) - 2*n**5 + n**5 + 0*n**5 + n**5 + n**5 - n**5 + (-33*n - 8*n + 4*n)*(-2*n + 2*n + 2*n**4).
-72*n**5
Expand (-2*a + 5*a - 4*a)*(-1 - 1 + 4) + (0 - 4 + 3)*((3*a + 0 + 0)*(1 - 3 + 3) + a - 2*a + 0*a - 3*a + 4*a + a).
-6*a
Expand (0*w + 2*w - w)*(-3*w + 3*w - 2*w**2) + 0*w**3 + 7*w**3 - 3*w**3 - 2*w**3 + 4*w**3 - 3*w**3 - 1 + 22*w**3 - 3*w**3 + 2.
20*w**3 + 1
Expand 4 - 4 + 2*k + 0*k - 4*k - 3*k + (-1 + 1 + 1)*(0*k - 2*k + 3*k) + (-3*k + 4*k + k)*(-5 - 1 - 5).
-26*k
Expand (92*z**2 - 80*z**2 - 9*z + 2*z)*(-z - 5*z + 4*z)*(-2 + 2 - 6).
144*z**3 - 84*z**2
Expand (-6*k**2 + 3*k**2 + k**2)*(-29 + 4 - 12)*(-4*k**2 - 4*k**2 - 11*k**2).
-1406*k**4
Expand (-108*s - 77*s + 250*s)*(-1 - 3 + 2) - 2*s + 3*s - 2*s.
-131*s
Expand (32 + 3 - 4)*(-4*a + a + a) + 3*a + 0*a - 4*a.
-63*a
Expand (46*i + 12 - 10 + 4*i)*(-5*i + 0*i + 2*i).
-150*i**2 - 6*i
Expand (3 - 4 + 0)*(5 + 14*v - 5)*(v**2 - v + v).
-14*v**3
Expand (6 - 4 - 3)*(5 - 1 - 3 + (3 - 4 + 2)*(1 + 3 - 2) + 13 - 6 + 12)*(-6*i**2 + 3*i**2 + 2*i**2).
22*i**2
Expand (-16*d**3 - 20*d**3 + 18*d**3)*(-1 + 1 + 2) - 6*d**3 + 3*d**3 + 0*d**3.
-39*d**3
Expand ((5*n - 3*n + 0*n)*(0 + 0 - n**3) - 5*n**4 + 58 - 58)*(4 - 5 + 3)*(-4*n + 2*n + n + 5*n - 3*n - n + (-4*n - 3*n + 5*n)*(-3 - 2 + 4)).
-28*n**5
Expand (-9*m**3 + 8 - 8)*(2*m**2 + 4*m**2 - m**2) + (-5*m**3 - m**3 + 4*m**3)*(m**2 - m**2 + 2*m**2) + 0*m**5 + 3*m**5 - 2*m**5.
-48*m**5
Expand (-6*i**2 + 2*i**2 + 2*i**2)*(0 + i**2 + 0) - 5*i**4 + i**4 - 241*i**2 + 257*i**2.
-6*i**4 + 16*i**2
Expand (9*n**2 - 5*n**2 + 3*n**2)*(n**2 + 2*n**2 - 7*n**2) + (-3 - 1 + 2)*(-3*n**4 + n**4 - 4*n**4).
-16*n**4
Expand 0*a**2 + 2*a**2 + a**2 + (14 - a - 14)*(4*a - 5*a + 0*a) + a**2 + 4*a**2 - a**2.
8*a**2
Expand 3*u - 2*u - 3*u + (u + 0*u + 3*u)*(0 - 4 + 3) - 2*u + u - u + 2*u + 2 - 2.
-6*u
Expand -7917*c**4 + 7917*c**4 - 468*c**5 + 2*c**5 - 7*c**5 + 3*c**5 + (-3*c**5 - 3*c**5 + 5*c**5)*(-1 - 1 + 4) + c**5 - c**5 - c**5 - 4*c**4 + 4*c**4 + 2*c**5.
-471*c**5
Expand (-5 + 5 + 7*f**2)*(-1 - 11*f**2 - 9*f + 9*f + (-2 + 1 + 0)*(5 - f**2 - 5)).
-70*f**4 - 7*f**2
Expand (2*h - 2 + 2)*(0 + 1 + 0)*(-1 - 19*h**3 + 27*h**3 + 14*h**3).
44*h**4 - 2*h
Expand -633*x**2 - 110*x**5 + 633*x**2 + (-3*x**5 - x**5 + 2*x**5)*(-2 - 4 + 5).
-108*x**5
Expand (-40*d - 1077 + 541 + 549)*(-d**3 + 4*d**2 - 4*d**2).
40*d**4 - 13*d**3
Expand (k**2 - 2*k**2 + 3*k**2)*(-554 - 933 + 377).
-2220*k**2
Expand (1 - 11 - 9)*(3*j - 2*j + 0*j + 5*j - 2*j - 5*j + (-5 + 0 + 3)*(-2 + 2 + 2*j) - 3*j - 3*j + 4*j - 2 - 2*j + 2).
171*j
Expand (2*g + 3 - 3)*(2*g**2 + 2 - 2) - 455 - g**3 - 3078*g + 3078*g.
3*g**3 - 455
Expand (-471*y**3 - 720*y**3 - 402*y**3)*(1 - 1 + 2*y)*(2*y + 2*y - 2*y).
-6372*y**5
Expand (-2*b - 2*b + 3*b)*(b + 2*b - 2*b) + 3*b**2 + 0*b**2 - b**2 + (b - 4 + 4)*(-3 + 3 - 4*b) - 2*b**2 + 3*b**2 + 3*b**2.
b**2
Expand (-5*v**2 + 6*v**2 + 19*v**2)*(7*v - 15*v - 10*v).
-360*v**3
Expand (-2 - 1 + 1)*(j + 1 - 1)*(-56*j**3 + 174*j**3 - 78*j**3).
-80*j**4
Expand (2*n + 17*n - 47*n)*(0 + 0 - 1) + (-4 - 1 + 4)*(-4*n + 4*n - 2*n).
30*n
Expand -3*u + 10*u**3 + 3*u + 3*u**3 - 4*u**3 + 0*u**3 + 0*u**2 - u**3 + 0*u**2 - u**3 + 3*u**3 - u**3 + (-1 + 1 + 2*u**3)*(1 + 5 - 4).
13*u**3
Expand (2 + 2*x - 2)*(-3 + 1 + 4) + 11*x - 7*x + 2*x - 32*x - 26*x + 45*x.
-3*x
Expand (-2336*j + 12446 + 12448 - 24894)*(-1 - 3 + 5).
-2336*j
Expand -4*m - m - m + (1 + 15 - 6)*((2 + 1 - 2)*(-2 + 2*m + 2) + 0*m - m + 0*m).
4*m
Expand (-a**3 - 2*a**3 + a**3)*(-2 + 2 - a) - 3*a**4 + 3*a**4 - a**4 + 17*a + 52*a - 6*a + a**4 + (3*a**3 + 4*a**3 - 5*a**3)*(5*a - 4*a - 3*a).
-2*a**4 + 63*a
Expand (3*w + 2*w**2 - 3*w)*(0 - 2*w + 0) - w**3 + 0*w**3 - w**3 + 1 - 2*w**3 - 1 - 51*w + 31*w + 331*w**3 + 20*w.
323*w**3
Expand 1654*k**2 + 753*k**5 - 1654*k**2 + (0 + 2 + 0)*(-2*k**5 - 3*k**5 + 3*k**5).
749*k**5
Expand 0 + 0 - n**4 + (34*n**2 + 12 - 12)*(-2*n**2 + 4*n**2 - 4*n**2).
-69*n**4
Expand ((2 + 4 - 4)*(-1 + 8 - 4) - 1 + 2 + 0)*(-10 + 3*a + 10).
21*a
Expand (1 - 1 - 1)*(26 - 65 - 84)*(r**4 + 4*r**2 - r**2 - 4*r**2).
123*r**4 - 123*r**2
Expand (-5 + 6 - c**3 - 7*c**3)*(0*c + 2*c + 0*c) - 6*c**4 - 10*c**4 + 7*c**4.
-25*c**4 + 2*c
Expand -j**3 + 5*j**3 - 3*j**3 + (-j + 0 + 0)*(-3*j**2 + 5*j**2 + 3*j**2).
-4*j**3
Expand (-646*k + 19*k**2 + 646*k)*(-1 + 4 + 0)*(4*k + 1 - 1).
228*k**3
Expand (-2*d + 3*d + 0*d)*(d + 31*d**2 - 73*d**2 + 38*d**2).
-4*d**3 + d**2
Expand (n - 2*n - 5*n)*(0 + 2 - 3) + n + 4 - 2*n + 2*n.
7*n + 4
Expand (-2*j**2 + 2*j**2 + j**2)*(-4 - 10*j + 4) - 3*j**3 + 0*j**3 + 5*j**3 + 3*j**3 - 2*j**3 + j**3.
-6*j**3
Expand (7*s - 3*s - 2*s)*(5*s + 5*s - 3*s) - 2*s - s + s**2 + 0*s.
15*s**2 - 3*s
Expand (-42 - 38 - 1)*(1 - 1 - 2*v).
162*v
Expand (16*l - 16*l + 7*l**2)*(l - 5*l + 2*l) - 5*l**3 + 13*l**3 - 5*l**3.
-11*l**3
Expand -x**3 + x**4 + x**3 + (-3*x + 3*x + x)*(-5*x**3 + 5*x**3 + 4*x**3) - 2*x**4 + 5*x**4 + 0*x**4.
8*x**4
Expand (-3*o - 3*o + 5*o)*(-2*o**2 + 5*o**2 - 4*o**2) + (7*o**3 - 3*o**3 + 5*o**3)*(2 + 1 + 3) - 5*o**3 + o**3 + 3*o**3.
54*o**3
Expand ((0 - 1 - 1)*(0 + 0 - 2) - 8 + 10 - 1)*(9*y + 8 - 8).
45*y
Expand 5 - 3*w**2 - 35*w**3 + 36*w**3 - 3 + w**4 + (90*w + 9*w - 3*w)*(7*w**3 - 2*w**3 - 3*w**3).
193*w**4 + w**3 - 3*w**2 + 2
Expand (-5 + 2*f + 5)*(-2*f**2 + 2*f**2 - f**3) + f**3 - f**3 + f**4 - 48*f**3 + 48*f**3 - 5*f - 9*f**4.
-10*f**4 - 5*f
Expand 0 - s + 0 - 4*s + 0*s + 3*s + (4 - 3 + 0)*(2*s - s + s) - 1 + 1 + 2*s - s + 3*s - s + 5*s - s - 11 + 9 - 10*s + 6*s + 21*s.
24*s - 2
Expand (-4*f + 11*f - 9*f)*(-2 + 3 - 5)*(-9*f**3 - 11*f**3 + 10*f**3).
-80*f**4
| {
"pile_set_name": "DM Mathematics"
} |
+ m)*(-3*m**3 + 4*m**3 - 3*m**3) + (4*m**3 - m**3 + 0*m**3)*(-2*m + 2*m + 2*m**2) - 4*m**5 + 4*m**5 - m**5.
m**5
Expand (-2*w**2 - w**2 + 4*w**2)*(3 + 161*w + 4*w**3 - 161*w).
4*w**5 + 3*w**2
Expand -9*x**4 + 9*x**4 - 3*x**5 + (-3*x**3 + 0*x**2 + 0*x**2)*(-2 + 2 + x**2) + (-3*x**2 - x**4 + 3*x**2)*(3 - 3 - x).
-5*x**5
Expand (1 + 5 - 5)*(-f + 2*f + 0*f + (-f + 2 - 2)*(-2 + 4 + 0)) + 19*f + 13*f - 2*f.
29*f
Expand -18*t**3 - t**4 + 18*t**3 + t**4 - 2*t**3 + 2*t**3 + (-2*t**3 + 4*t**3 - 3*t**3)*(0*t + 0*t - t) - 11*t**4 + 21*t**3 - 21*t**3.
-10*t**4
Expand 2*b + 0*b - 3*b + (3*b - 4*b + 0*b)*(1 + 5 - 4) - 2*b + 4*b - 3*b - b - 3*b + 5*b - 3*b + 0*b + 0*b + b + 0*b + 0*b + 3 - 2*b - 3 - 5*b + 0*b + 3*b.
-9*b
Expand (l + 2*l - 5*l)*(-5 + 2 + 2 - 2 - 2 + 2 + (3 - 3 - 2)*(2 + 1 - 1) + 3 - 1 - 1 - 5 + 1 - 1).
22*l
Expand -1 - i**3 + 1 + (-1 - 5 + 4)*(4*i**3 - i**3 - i**3) - 22*i**2 + 3*i + 24*i**2 - 25*i**3 - 4*i.
-30*i**3 + 2*i**2 - i
Expand (-3 + 5 - 4)*(-2 + 2 - 3)*(6 + 2 - 3)*(2*k - 1 + 1)*(1 + 1 - 3).
-60*k
Expand (-3*r**2 + 0*r**2 + 2*r**2)*(4*r - 3*r - 6*r)*(2*r - 2*r - r**2) + r**5 + 2*r - 2*r.
-4*r**5
Expand (1 + 1 + 2*n - 4)*(-2*n - 2*n - 3*n).
-14*n**2 + 14*n
Expand -1 + 4*b**2 + 1 - b + (-3*b + b + b)*(3*b - 3*b - 2*b).
6*b**2 - b
Expand (-4*s + 5*s + 6*s)*(-2 - 2*s**3 + 2).
-14*s**4
Expand -44 + 44 + 27*n**3 + (n**2 + 2*n**2 - n**2)*(n + 2*n - 4*n).
25*n**3
Expand (m**3 + m**3 - m**3)*(36 + 63 - 123 - 2*m).
-2*m**4 - 24*m**3
Expand (4*f**2 + 4*f**2 - 3*f**2 + (-3*f - 2*f + 3*f)*(-f - 4*f + 3*f))*(10*f - 5*f - 9*f).
-36*f**3
Expand (1 - 4 + 0)*(-13*v**3 + 8*v**3 - 19*v**3).
72*v**3
Expand -f**5 + 0*f**5 + 0*f**5 + (-3*f + 4*f - 8*f)*(-2*f - f + 2*f)*(f**3 - 2 + 2).
6*f**5
Expand -f**5 + 5*f**5 - f**5 + (3*f**2 + 0*f**2 - 4*f**2)*(-f - f - 16*f**3 + 5*f**3).
14*f**5 + 2*f**3
Expand (2*b - 2*b - 2*b)*((-2 + 2 + 2)*(-1 + 3 - 3) + 2 - 5 + 2 + 0 - 1 - 1 - 2 + 3 + 0 + 4 - 4 + 1 + 2 - 9 + 1).
18*b
Expand (-3 + 0 + 2)*(4*q**2 + 0*q**2 - 2*q**2) - 2 + 2 - 3*q**2 + (-1 + 1 + 2*q)*(-q - 2*q + q) + 0*q**2 + 2*q**2 - 3*q**2.
-10*q**2
Expand 2*z**2 + 2*z**2 - 2*z**2 + (2 + z - 2)*(-6 - 6*z + 6).
-4*z**2
Expand (12*o**2 + 16 - 16)*((0 + 2 - 1)*(-1 + 4 - 5) - 3 - 1 + 2 + 0 + 0 - 1 - 3 + 1 + 1 - 1 + 1 + 2).
-48*o**2
Expand (4 + z**3 - 4)*(-1 - 3 + 2 + (2 - 1 - 2)*(6 + 5 - 6)).
-7*z**3
Expand (-2*g + 0*g + 3*g)*(11*g - 4 + 4) - 1 + g - 4*g + 4*g**2 + 5*g.
15*g**2 + 2*g - 1
Expand (5 - 4 + 15)*(0 + 2 - 1)*(3*v - 2 - 3*v + 4*v).
64*v - 32
Expand 6*j**2 + 3*j**4 - 11*j**2 - 4*j**4 + (-3*j + 2*j + 3*j)*(-1 - 2*j**3 + 1).
-5*j**4 - 5*j**2
Expand (d - 2*d + 0*d)*(0 - 2 + 1)*(-11*d**3 + 11*d**3 + 5*d**4).
5*d**5
Expand (-35*p**3 + 87*p**3 - 33*p**3)*(2*p - 2 + 2).
38*p**4
Expand (0*a + 5*a - 4*a + (-1 + 4 - 1)*(-2*a + 0*a + 0*a) + 2*a - 3 + 3)*(-2*a**4 - 5*a**4 + 5*a**4) + 3*a**5 - 2*a**5 + 2*a**5.
5*a**5
Expand (-2 + 2 + 2)*(-2 + 4 + 1)*(-2 + 2 - 2*g)*(6*g**2 + 0*g**2 - g**2).
-60*g**3
Expand (3*w - 3*w + w + (6*w - 4*w + 0*w)*(-1 + 4 - 1))*(-2 - 1 + 10).
35*w
Expand 52*c**5 + 36*c**5 - 21*c**5 + (0 + 0 - 2)*(3*c**4 - 3*c**4 - 2*c**5).
71*c**5
Expand (-2*n**2 + 0*n**2 + n**2)*(-2*n**2 + 1 - 1 + (-3 + 2 - 4)*(4*n**2 - 3*n**2 - 2*n**2)).
-3*n**4
Expand -4*g**2 + 4*g**2 - 5*g**4 + (-2*g - g + 2*g)*(-1 + g**3 + 1).
-6*g**4
Expand -14*t**5 - t**3 + 7*t**5 + 2*t**3 + t + 2*t**5 - t + 0*t**2 + t**5 + 0*t**2 + (3*t - 3*t + t**4)*(-2*t + 4*t - 4*t).
-6*t**5 + t**3
Expand (-5*d + 2*d + 2*d)*((-3 + 1 + 3)*(2*d - 2*d - 2*d) + 2*d - 6*d + d + 3*d - d - d - 47 + 47 - d).
5*d**2
Expand (4 - 2 + 0)*(-7 + 3 - 1)*(h - 5*h + 3*h).
10*h
Expand (54*w - 6525 + 6525)*(1 - 2 + 0).
-54*w
Expand (2*p**2 + 0*p + 0*p)*(2*p**2 - 5*p**2 + 2*p**2) - 1 + 0*p**4 - 2*p**4 + 0 + p.
-4*p**4 + p - 1
Expand (-7 + 3 - 17*d + 19*d)*(-2 + 2 + d**3).
2*d**4 - 4*d**3
Expand (19*w**2 - 12*w**2 - 4*w - 2 - 10*w**2)*(-11*w**2 + 44*w - 44*w).
33*w**4 + 44*w**3 + 22*w**2
Expand d**2 + 0 + 0 + (2*d - 3*d + 3*d)*(-d + 1 - 1) - 5*d**2 + 0*d**2 - d**2.
-7*d**2
Expand (-4*r + 4*r + r**2)*(r + 1 - 1) + 2*r**3 + r**3 - 2*r**3 - 12*r + 10*r**3 - 2*r**3 - 7*r**3.
3*r**3 - 12*r
Expand -36*v**5 + 5*v**4 - 5*v**4 + (-5*v + 3*v + 0*v)*(0*v**2 + 0*v**2 + v**4).
-38*v**5
Expand (18*y**2 + 11*y**2 + 3*y**2)*(y**2 + 0*y + 2*y + 0*y).
32*y**4 + 64*y**3
Expand (3 - 3 + 2)*(5 - 5 + 3)*(-3*s + 2*s + 3*s).
12*s
Expand (3 - b - 3)*(1 + 0 - 2) - 2*b - b + 6 + 4*b.
2*b + 6
Expand (3*m**3 + 5*m**3 + 0*m**3)*(-3 - 2 + 4).
-8*m**3
Expand (7*h + h - h)*(-4*h + 2*h + 0*h) + 4 - 4 - 2*h**2.
-16*h**2
Expand (73 + 2*u - 73)*(-5 + 5 - u**2).
-2*u**3
Expand (5*m + 0*m - 3*m)*(0 + 4 - 2)*(0*m - 2*m - m).
-12*m**2
Expand (2*r + 2 - 2 + 3 - 3 - 2*r + (r + 0*r - 3*r)*(0 - 2 + 0) + 0*r + 2*r + 0*r)*(-5 + 5 + 3).
18*r
Expand (9 + 4 - 5)*(-3*j + 0*j + 2*j) - 1 + 1 + 2*j.
-6*j
Expand (-1 + 3 - 4)*(117 - 60 - 58 - 10*r).
20*r + 2
Expand ((3*z + z - 3*z)*(-2*z**2 + 6*z**2 - 2*z**2) - 5*z**3 + 6*z**3 - 5*z**3)*(-2 + 2 + 1).
-2*z**3
Expand (-7*o**4 - 3*o**4 - 3*o**4)*(4*o - 2*o - 3*o) + (2*o**4 - o**4 - 2*o**4)*(-3*o + 0*o + 7*o).
9*o**5
Expand -2*n**2 + 2*n**2 + n**3 + (-8*n + 7*n + 9*n)*(-4*n**2 + 6*n**2 - 4*n**2) + n**3 + 0*n**3 + 0*n**3.
-14*n**3
Expand (-1 + 1 - v)*(-2*v**2 + 4*v**2 - 7*v**2) + (-v + 0 + 0)*(7 - 3 - 3)*(2*v**2 - 3*v + 3*v).
3*v**3
Expand (0*q**2 + 5*q**2 - 3*q**2)*(-6*q - q + 4*q) + 6*q**3 - 13*q**3 + 2*q**3.
-11*q**3
Expand -4*o**2 + 4*o**2 - 2*o**3 + (-2 - o**2 + 2)*(-7 + 7 + 4*o) + 2*o**3 + 0*o**2 + 0*o**2.
-4*o**3
Expand 363*v**3 + 3 + 4*v**2 - 369*v**3 - 3*v**2 + (-3*v**3 + 0*v**3 + 2*v**3)*(2 + 1 - 4) - 3*v**3 + 0*v**3 + 5*v**3.
-3*v**3 + v**2 + 3
Expand (4*v - v - 4*v)*(-1 + 2*v - 3 + 1).
-2*v**2 + 3*v
Expand (l - 4*l + l)*(7*l**2 + 3*l**2 - 11*l**2).
2*l**3
Expand (f + 0 + 0)*(4*f - 4*f + f) - 3*f**2 + 0*f**2 + 0*f**2 + 0*f**2 + 0*f**2 - f**2 - 3*f**2 + 7*f**2 - 3*f**2 + 0*f + 0*f + 7*f**2.
5*f**2
Expand 2*y**2 - 4*y**2 + 4*y**2 + (8*y + y - y)*(2*y + 3 - 3).
18*y**2
Expand (2 - 3 + 0)*(f + f - f)*(3*f + 2*f - 3*f)*(-2*f**2 + 6*f**2 - 2*f**2).
-4*f**4
Expand 4*m - m**3 - 4*m + 4*m**3 + 0 + 0 + (m**2 - 3*m + 3*m)*(-m + m + m) - 3*m**2 - 2*m**3 + 3*m**2 + 6*m**3 - 2*m**3 + 8*m**3.
14*m**3
Expand (-6*m**2 + 0*m**2 + 0*m**2)*(7*m**3 - m**2 - 4*m**3 + 3*m**2).
-18*m**5 - 12*m**4
Expand (-2*m - 3*m + 0*m)*(0 + 0 - 2) + (-2*m + m + 0*m)*(-2 + 2 - 1).
11*m
Expand (-2 + 0 + 0)*(-2*y**2 + y**2 - y**2) - 2*y**2 + y**2 + 3*y**2 + (3 + 0 - 1)*(1 - 2*y**2 - 1) + 3*y**2 - 3*y**2 - y**2.
y**2
Expand (-17*o - 6 + 3*o**2 + 17*o)*(2*o**2 - 3*o**2 + 4*o**2)*(o + o - 3*o).
-9*o**5 + 18*o**3
Expand (-5*k - 2*k**4 + 5*k)*(3 - 1 - 1)*(-22 + 22 + 14*k).
-28*k**5
Expand -2*s**2 - 2*s - s - s + (2 + 2*s - 2)*(0*s + 3*s - 4*s).
-4*s**2 - 4*s
Expand (1 - 2*m - 5 + 3)*(-1 + 2 - 7 + (-2 + 5 - 4)*(-2 + 2 + 1)).
14*m + 7
Expand -1 - t + 1 + 3*t + 3*t - 3*t + (-4 + 2 + 4)*(-1 - 2*t + 1) + 11*t + t - 5*t - 4*t - t + 3*t.
3*t
Expand (8*g + 32 - 32)*(0*g - 2*g + g) + (g**2 + 2*g**2 - 2*g**2)*(5 + 0 - 1).
-4*g**2
Expand (-13*r**3 - 7 + 7)*(r + 3*r - 3*r).
-13*r**4
Expand (-q + 2*q - 4*q)*(8 - 3 - 1).
-12*q
Expand (-2*c + 2 - 2)*((-2 + 0 + 1)*(4 - 4 - 1) + 0 + 4 - 2).
-6*c
Expand (-40 - 9*m**4 + 40)*(4 - 2 + 1).
-27*m**4
Expand ((6 - 2 - 3)*(-4*g + 4*g - 2*g**2) + (-2*g + 3*g - 4*g)*(4*g - 2*g - 6*g))*(1 - 3 + 0).
-20*g**2
Expand (-3 - d + 3)*(8 - 8 + 3*d**3) + d**4 + 0*d**3 + 0*d**3 + (5*d**2 - 5*d**2 - d**3)*(-5*d + 2*d + 2*d).
-d**4
Expand (q**2 + 3*q - 3*q)*(0*q + 0*q - 2*q) + (2*q**2 + 1 - 1)*(-31 + 26*q + 31).
50*q**3
Expand (0 + 4 - 2)*(-5*p + 5*p - 2*p) + 1 - 4*p + 4*p + 10*p.
6*p + 1
Expand u**3 + u**3 + u**3 + (-u + u - 2*u**2)*(-5*u + 3*u - u).
9*u**3
Expand (3*t**2 - 5*t**2 + 0*t**2)*(2 + 1 - 2) + 2*t**2 + t**2 + t**2 - t**2 + 7*t**2 - t**2.
7*t**2
Expand -2*c**2 + 0*c**2 + c**2 + 16*c**2 - 13 + 13 + (-4 - 2*c + 4)*(c - c - 2*c).
19*c**2
Expand (-4 + 2 + 0)*(b**3 + 0*b**3 + 4*b**3)*(0 + 2 + 3).
-50*b**3
Expand 0 + 0 - w**2 + (w + 1 - 1)*(5*w - w - 3*w) + w**2 - 3 + 3 - 2 + w**2 + 2 + (-4*w + 3*w + 4*w)*(-31 - 6*w + 31).
-16*w**2
Expand (2*x - 2*x + 2*x)*(-15 - 8 + 9).
-28*x
Expand (2*c + c - 2*c)*(1 + 1 + 0 - 51 - 62 + 95 + (-1 - 2 + 2)*(1 - 3 + 3)).
-17*c
Expand (-b**2 - 2*b**2 + b**2)*(-4 + 4 + 7)*(1 - 2 + 0)*(2 - 5 + 4).
14*b**2
Expand -7*w + | {
"pile_set_name": "DM Mathematics"
} |
order.
0, n, -1.2, -5
Suppose -4*b + l = 25, -b + 4*b + 4*l - 5 = 0. Put 0, -2, 4, b in ascending order.
b, -2, 0, 4
Let c(m) = -226 - 7*m + 90 - 83 + 0*m. Let p be c(-31). Sort 11, p, 1 in descending order.
11, 1, p
Let c be (-1 - 1)/(2/3). Let n(a) = -263*a + 1. Let f be n(2). Let o = f + 521. Put o, -1, 1, c in descending order.
1, -1, c, o
Let w(k) = -k**3 + 11*k**2 - 9*k - 13. Let j be w(10). Let y = 1.57 + 1.43. Let i = -0.076 + -0.324. Sort 1, j, i, y in increasing order.
j, i, 1, y
Let c = -1018 - -1018. Sort -3, c, 4, -5, 7 in increasing order.
-5, -3, c, 4, 7
Suppose 87 = 35*t + 122. Sort 1, -6, 46, t.
-6, t, 1, 46
Let f(l) = -3*l**3 - 18*l**2 - 5*l + 6. Let b be f(-6). Suppose h - 35 + b = 0. Let y = 105 + -110. Sort y, 2, -2, h in decreasing order.
2, h, -2, y
Let o = 14.378 + -14.878. Sort 2, 1, o, 332, 0.07 in decreasing order.
332, 2, 1, 0.07, o
Suppose -2*h - 167 = 4*o - 489, -5*o + 3*h = -375. Let v be (-260)/o - 2/(-6). Put 3, 22, v in descending order.
22, 3, v
Let u = -5351/2 - -2676. Sort -0.03, u, 3, 0.1, -0.2 in decreasing order.
3, u, 0.1, -0.03, -0.2
Let u(z) = 18*z**2 - 181*z + 8. Let g be u(10). Suppose -5*p = -2 - 8. Sort g, p, 5.
g, p, 5
Suppose 0 = -2*q - 0 - 10. Suppose 5*m + 3*z = 8, -12*z - 28 = -3*m - 8*z. Put -4, -3, q, m in increasing order.
q, -4, -3, m
Suppose -p = 4*w - 34, w + 49 = -0*p + p. Suppose -6*q = p - 208. Let u be 3/(-3) + q/36. Sort -4/17, u, -5.
-5, u, -4/17
Let z = -431 - -244.5. Let g = 187 + z. Put g, -0.2, 2/5, -1/4 in decreasing order.
g, 2/5, -0.2, -1/4
Let v = -51 + 51. Suppose 0*t - 5*t + 50 = v. Suppose t*k = 4*k + 12. Sort 0, k, -14 in descending order.
k, 0, -14
Let p be (-12)/8*1/(-6). Let c = 479/2115 - 1/235. Let q = 8/11 - 68/33. Put q, c, p in increasing order.
q, c, p
Let a = -90 - -112. Let h = a + -18. Let k = -3 - -4. Sort 0, h, k in increasing order.
0, k, h
Let d(u) = u**3 + 6*u**2 - 7*u - 1. Let f be d(3). Suppose -f - 257 = 4*m. Let p = m + 239/3. Sort -0.3, p, -3 in increasing order.
-3, -0.3, p
Let y = 3764 + -3767. Sort -23, 1, -9, y in descending order.
1, y, -9, -23
Let z be (-9)/6*(2 - 4). Suppose 0 = 2*r + 4*o - 18, -2*r - 5*o = -z*o - 12. Suppose -d + 4*w + 8 = 0, -r*d + 3*w = d - 19. Sort -4, d, 0 in decreasing order.
d, 0, -4
Let k be ((-20)/(-175)*(-50)/(-4))/((-8)/112). Put 0, 3, 5, k, -2 in increasing order.
k, -2, 0, 3, 5
Let s = 43.21 + -0.21. Let f = -41 + s. Sort 2/5, f, 1/3, -4 in increasing order.
-4, 1/3, 2/5, f
Let u = 1202.9407 - 1203. Let s = u - 0.0207. Suppose -2 = j + 2. Put s, -3, -0.5, j in decreasing order.
s, -0.5, -3, j
Let j = -0.496 + -0.004. Let q = -553/4 - -277/2. Put j, -1, q, 7 in decreasing order.
7, q, j, -1
Let j = -11939 + 11937. Sort -0.1, j, 14, 2, 0.1 in decreasing order.
14, 2, 0.1, -0.1, j
Let h = -79/217 - 2/31. Let l = 8.7 + -78.4. Let j = l - -70. Sort 3, h, 2, j.
h, j, 2, 3
Let r be (-15)/(-6)*(-9 + -21). Let x = 5877 - 5874. Sort x, -0.3, r.
r, -0.3, x
Let f be ((-418)/330 - 15/45)/((-56)/20). Let k = -1033/9 + 115. Sort -0.4, k, f in decreasing order.
f, k, -0.4
Let s = 0.06 + -1.43. Let u = s + 18.57. Let f = 17 - u. Put -0.05, 5, -1, f in decreasing order.
5, -0.05, f, -1
Let c = 12 + -44. Let v = -17133 - -17129. Put -0.5, v, c in decreasing order.
-0.5, v, c
Let s = -3.6936 - 3.3064. Sort 1/4, s, -0.2, 3, -29.
-29, s, -0.2, 1/4, 3
Let v = -674 - -347. Let m = v + 332. Put 0.02, -0.4, m, 1 in descending order.
m, 1, 0.02, -0.4
Let b(t) be the second derivative of -t**4/12 + t**3/3 - 5*t**2/2 - 16*t. Let q be b(3). Let l be -3 + q + 4 - -4. Put 0, 2, l in ascending order.
l, 0, 2
Let h = 129 + -129. Sort 117, h, 2 in increasing order.
h, 2, 117
Suppose -5 = -3*u + 4*w, 40*u + 3*w = 42*u - 5. Put 0, -11, 3, 2, u in increasing order.
-11, u, 0, 2, 3
Suppose 0 = -1291*h + 1282*h - 36. Sort h, 29, 2, 1 in descending order.
29, 2, 1, h
Let z = 29 + -77. Let j(q) = q**2 + q - 1. Let c be j(-8). Let m = z + c. Put -1, m, -4 in increasing order.
-4, -1, m
Let x(d) = -2733*d - 13660. Let p be x(-5). Let g = 3 + -4. Sort p, 1, -2, g.
-2, g, 1, p
Let c = 7/8 + 5/8. Let s = 4551.2 - 4212. Let r = 339 - s. Sort -2, r, c, -1/2.
-2, -1/2, r, c
Suppose -4*p + 4 = -5*h + 20, 5*p + 20 = 0. Suppose h*k = 4*k + 12. Suppose -211*d + 231*d = -80. Sort 1, k, d in increasing order.
d, k, 1
Let w(h) = 2*h**3 + 19*h**2 - 10*h - 146. Let n be w(-9). Put 3, n, 2 in ascending order.
2, 3, n
Let m = 10 + -28. Let a(t) = -30105*t + 16*t**2 - 96*t**3 + 97*t**3 + 30069*t - 3. Let w be a(m). Put w, -5, 4 in ascending order.
-5, w, 4
Let c(h) = 21*h**2 + 31*h - 20. Let v be c(-2). Sort -116, v, 5, -5 in ascending order.
-116, -5, v, 5
Let u = 13001 + -13004. Let p = -8 - 21. Let v = p + 86/3. Sort u, 2, v, -4/7 in decreasing order.
2, v, -4/7, u
Suppose 0 = -21*j + 1000 - 391. Sort j, 0, 7 in descending order.
j, 7, 0
Let j = 5 + -8. Suppose 5880 - 2964 = 162*z. Sort j, z, -4.
-4, j, z
Suppose -93 = 15*u + 18*u - 2*u. Suppose -4*q + 3*q = 0. Let c(a) = -a - 1. Let z be c(q). Put z, -5, u in descending order.
z, u, -5
Let t = -29 - -8. Let o = 41331 + -41335. Sort 1/10, t, -0.3, o in decreasing order.
1/10, -0.3, o, t
Let r = -23966 - -311560/13. Put 5, 0.1, -12, -47/6, r in ascending order.
-12, -47/6, 0.1, r, 5
Let m = -2/7 - 19/105. Let t = -2/3 - m. Let j = 267/280 + -13/14. Sort t, -3, j in descending order.
j, t, -3
Let q = -117 + 109. Let z be (q/(-10))/((-31)/(-310)). Put z, 6, 2 in decreasing order.
z, 6, 2
Let t = 3598 - 3602. Sort t, -3/7, -17, -1/2 in decreasing order.
-3/7, -1/2, t, -17
Suppose 0 = -5*g - 3*z + 7*z + 2, -5*g = -2*z - 6. Let n be 1/(4/(3 + 9)). Suppose 2*l + 3*l + 20 = 2*v, -4 = -n*l - 2*v. Sort g, -10, l in descending order.
g, l, -10
Let l(b) = -110*b + 4618. Let a be l(42). Put 0, 5, a, 40 in decreasing order.
40, 5, 0, a
Let f(l) = l**3 + 79*l**2 + 12*l + 946. Let c be f(-79). Sort c, 2/7, 2.7, -0.5, -1 in increasing order.
c, -1, -0.5, 2/7, 2.7
Let f be (-2*14)/(10/(-2 + 7)). Let b be 10/(-35) + (-23)/f*2. Suppose 3*g + 0*g + 18 = 0. Sort -5, g, b in ascending order.
g, -5, b
Let f = -847 - -855.1. Let h = f + -8.1. Let u = -0.25 + -0.05. Put u, -1, 4, h in increasing order.
-1, u, h, 4
Let w = 339.6 - 334.6. Let a = 0.06 + -43.06. Sort a, w, -5, 3 in decreasing order.
w, 3, -5, a
Let z = -64.8 - -65. Let m = -473 - -47771/101. Sort m, 4, z in descending order.
4, z, m
Let o(w) = -w - 7. Let x be o(-6). Let k = 61606 - 61611. Put -1/2, k, -3, x in descending order.
-1/2, x, -3, k
Let y be (-3)/(-5) - (-6919)/2035. Put -5, 19, y, -1 in increasing order.
-5, -1, y, 19
Let a be (20/(-1150))/((-1)/(-5)). Let z = -2650 - -2650.1. Put z, 5/4, a in decreasing order.
5/4, z, a
Let j = -24 + 26. Let f = 332 - 332. Put j, -3, 5, f in descending order.
5, j, f, -3
Let n = 5 - 5.3. Let r(x) = -195*x - 3903. Let t be r(-20). Sort -1/4, n, -1, t in decreasing order.
-1/4, n, -1, t
Let f = -2.5082 + 3.5082. Put f, 0.5, -3, 373 in increasing order.
-3, 0.5, f, 373
Let q = -95.5 + -341.4. Let a = -437 - q. Put -1, a, 1/4, 5 in decreasing order.
5, 1/4, a, -1
Let v = 0 - -1/2. Let n = 0.48 - 0.28. Let i = 413 - 416. Sort 4/3, v, n, i in decreasing order.
4/3, v, n, i
Let j = 36.8 - 40.8. Let l = 304119/785 - 1937/5. Put j, l, 0.5 in descending order.
0.5, l, j
Let m = -14388 + 14383. Suppose -t - 9 = -0*t. Sort 0, 2, t, m.
t, m, 0, 2
Let j = 20603.05 + -20603. Let t = 21.98 - -0.02. Put j, 1, t, 0.1 in descending order.
t, 1, 0.1, j
Let m = -586.8849 + -0.1151. Let d = m - -587.1. Let x be 0 + 0/(-1 - -3). Sort d, -1/6, -1, x in decreasing order.
d, x, -1/6, -1
Let a = 263.4 - 263.2. Sort -0.11, 4, a, 2/19 in descending order.
4, a, 2/19, -0.11
Let h = -4.14 - -0.015. Let x = h + 0.125. Sort -1/5, x, -2/5, -2/13.
x, -2/5, -1/5, -2/13
Let b = 19.5 - 34.2. Let h = 27.8 - b. Let t = -42 + h. Put 2/5, 0.1, -4, t in increasing order.
-4, 0.1, 2/5, t
Let m = 4.614 - 13.514. Put m, 2, 5, 2/7 in descending order.
5, 2, 2/7, m
Let k(z) = z**3 - 5*z**2 - 3*z - 21. Let a be k(7). Let t = a + -61. Suppose -n + 3*d = -3*n - 1, -5 = 5*d. Put -1, t, 5, n in decreasing order.
5, n, -1, t
Suppose -5*j + p = -8, 0 = 2*p - 6*p + 8. Put 4, 3, j, -62 in decreasing order.
4, 3, j, -62
Let a be -10 - (-3 + (1 - 0) + -2). Let c(b) = -b**2 - 4*b + 13. Le | {
"pile_set_name": "DM Mathematics"
} |
(((l/(l/(l**(-11)/l)))/(l*l/l**(-4/5)))/((l/(l/l**(-4/7)))/l**(4/7)))**(2/13) assuming l is positive.
l**(-956/455)
Simplify (((((c**(1/4)*c)/c)/c*c)/c*c)/c*c)**(-20/7)*(c/(c**(-2/9)/c))**9 assuming c is positive.
c**(135/7)
Simplify (v**3*(v/(v*v**(-4))*v*v*v)/v*(v**(2/3)*v*v)/(v**(1/4)*v))**(2/43) assuming v is positive.
v**(125/258)
Simplify (j**6*j*j**10/j)/(j**4*j*(j*j/j**(-1)*j*j)/j) assuming j is positive.
j**7
Simplify ((r*r**(1/6)/r)**(-27/2))**(-35) assuming r is positive.
r**(315/4)
Simplify ((t/(t**(-1/12)/t))/t)**(2/77)*(t**8)**(-27) assuming t is positive.
t**(-99779/462)
Simplify (o/o**(1/8))**31/(o/(o*(o*o**(-7))/o)*o)**44 assuming o is positive.
o**(-2599/8)
Simplify ((v*v**(6/11))/v**(-41))/((v**(2/83)*v)/(v/v**(-7))) assuming v is positive.
v**(45213/913)
Simplify (z**(4/7)*z)**(-5/9)*z**(-10)/z**8 assuming z is positive.
z**(-1189/63)
Simplify ((d**(2/5)/d)**(-1)*(d**(-2/3))**(-39))**(-10) assuming d is positive.
d**(-266)
Simplify ((m*m**(-5))/m**0*m**(-2/3)*m**(-5))**(1/27) assuming m is positive.
m**(-29/81)
Simplify ((d/(d*d**(-2)/d))/d)**(-2/43)/((d**(-13)/d)/(d*d/d**(2/13))) assuming d is positive.
d**(8806/559)
Simplify ((p/(p/(p/(p*p**14))))/p*p*p**30*p*p)**(3/47) assuming p is positive.
p**(54/47)
Simplify (((n*n*n/(n/(n**8/n)))**(-2/21))**(-17/2))**23 assuming n is positive.
n**(1173/7)
Simplify ((j/(j*j**(1/4)/j))**(-1/4)/(j**(2/3))**(-44))**37 assuming j is positive.
j**(51763/48)
Simplify ((y/(y*y/(y*y**(-2/3)/y))*y)**(-1/41)*y/y**(-7)*y*y**(-3)*y)**(-3) assuming y is positive.
y**(-863/41)
Simplify (l**(1/3)/l)/l*l*l/l**3*l/(((l*l*l/((l/(l/(l/(l/(l/l**(-1/7))))))/l)*l)/l)/l)*l/(l**19*l) assuming l is positive.
l**(-473/21)
Simplify (((w/w**(1/42))/w**(-20))**(1/9))**(-5) assuming w is positive.
w**(-4405/378)
Simplify c**(-1/13)/c**(3/10)*c**0/c**(2/23) assuming c is positive.
c**(-1387/2990)
Simplify ((r*r**17)**(2/151))**(-14) assuming r is positive.
r**(-504/151)
Simplify (((s**(2/7)*s)**(-1/17))**(1/19))**(-11) assuming s is positive.
s**(99/2261)
Simplify ((s/((s*s/(s/((s/(s/s**(-16)))/s)))/s))/s)**(-11)*s/(s*s**(-11/6))*s/s**(-1/33) assuming s is positive.
s**(-4051/22)
Simplify q**(-7)*q/q**(-19)*(q**4*q)**20 assuming q is positive.
q**113
Simplify (m/m**(5/3))**34*m**(-6/7)*m**(-14) assuming m is positive.
m**(-788/21)
Simplify ((w/w**(-2/9)*w)**(18/7)*w**(-2/21)*w*w**(-3)*w*w)**(-33) assuming w is positive.
w**(-1298/7)
Simplify ((k*k**(-1/2))/(k*(k**(3/2)/k*k)/k)*(k/k**(-2))**18)**(10/3) assuming k is positive.
k**(530/3)
Simplify (((v*v**(-16))**(-7/5))**(1/6))**8 assuming v is positive.
v**28
Simplify (r/r**8*r*r/r**1*r**(1/9)*r/(r*r*r**(1/3)*r*r))**(-4) assuming r is positive.
r**(332/9)
Simplify (t/(t*t**(2/7)*t*t))**(-5/6)/((t**(-1/2)/t)/(t/(t**3/t)*t)) assuming t is positive.
t**(143/42)
Simplify (s*s**(-1/21)*s**(-1/19)*s)/(s**(3/5)*s**(-1/9)) assuming s is positive.
s**(8444/5985)
Simplify (x/x**(-2/9))/(x/(x*x**(-2/11)/x))*(x**1)**(6/5) assuming x is positive.
x**(614/495)
Simplify (((o/o**4)/((o/(o*o**(-4/5)))/o))/((o*o*o*o*o*o/(o/o**0)*o)/o)**13)**49 assuming o is positive.
o**(-16611/5)
Simplify ((i**7*i)**(-14/11))**41 assuming i is positive.
i**(-4592/11)
Simplify a**(-9)/(a/(a*a**(-4/13)*a*a))*(a**13*a*a)/a**(-25) assuming a is positive.
a**(425/13)
Simplify (x**6/(x*((x**(-3/5)*x)/x)/x)*(x**(-2/3))**(-6/13))**(-3/29) assuming x is positive.
x**(-1347/1885)
Simplify ((((g**11*g)/g)/g**(-5))**32)**(-17) assuming g is positive.
g**(-8704)
Simplify (m**(-1)*m*m)**(-3/29)*m**(2/9)*m**(-7) assuming m is positive.
m**(-1796/261)
Simplify (h**(-16)*h**(-15))/((h**(9/5)/h)/h**(-1/5)) assuming h is positive.
h**(-32)
Simplify (y**(-2))**(1/20)/(y**(-9)/(y/(y**(-5)/y))) assuming y is positive.
y**(159/10)
Simplify (x**(2/21))**(-48)*(x*x**(4/7)*x)/x*(x/(x*x**5))/x assuming x is positive.
x**(-9)
Simplify (u**3/u)**(9/4)*(u**(-1))**(-3/17) assuming u is positive.
u**(159/34)
Simplify (f**(2/17)*f*f*f**(-11)/f)/(f**(-24)/(f*f*f/(f*f/((f**15/f)/f)*f)*f)) assuming f is positive.
f**(478/17)
Simplify (z*z**(4/3))**(-1/37)*z**(-13)*z**14 assuming z is positive.
z**(104/111)
Simplify (w**(-1/5)/w**(-8/11))/(w**(-25/2)*w*w**(-2/15)/w*w) assuming w is positive.
w**(4013/330)
Simplify (j*j**(-5))/j*j**2*j*j**(-4/5)*j*j/j**11 assuming j is positive.
j**(-59/5)
Simplify (o*o**(4/3))**(2/49)/(o**(-3))**(5/7) assuming o is positive.
o**(47/21)
Simplify ((s**(2/5)*s)/(s*((((s/(s**15/s))/s)/s)/s)/s))/(s*(s**(2/17)/s)/s*s)**(-17/4) assuming s is positive.
s**(179/10)
Simplify ((d**(5/4)/d*d*d*d)/d**(-6/13))**6 assuming d is positive.
d**(579/26)
Simplify (s**(-4)*s**(6/17))/(s**(-19/4)/s**13) assuming s is positive.
s**(959/68)
Simplify (((w/w**(-5))/w*w/(w/(w/w**5)))**33)**9 assuming w is positive.
w**297
Simplify ((o**3/o**(-5))/(((o/o**(1/5))/o)/(o/(o/o**2))))**(16/5) assuming o is positive.
o**(816/25)
Simplify ((c*c**6)/c*c/c**9)/(c*c/c**(-9)*c**(-1/10)) assuming c is positive.
c**(-129/10)
Simplify (s**(-1)*s/((s/(s**(-1/3)*s))/s))**(-12) assuming s is positive.
s**(-8)
Simplify (h**(-6/7)/h)/(h*h*h*h*h*h**3)*((h/(h/h**(-1/4)))/h)**13 assuming h is positive.
h**(-731/28)
Simplify b**1/((b**12*b)/b*b)*b**(-1/7)/(b/b**(-2/5)*b*b*b) assuming b is positive.
b**(-579/35)
Simplify (c**12)**(-32)*(c**9)**(-7/5) assuming c is positive.
c**(-1983/5)
Simplify w**(-12)/((((w*w**(-13))/w)/w)/w)*w**(4/3)/w*w*w*w**10*w assuming w is positive.
w**(49/3)
Simplify (v**(1/6))**(-32)/((v/(v**(-7)/v*v*v)*v*v)/v)**(-43) assuming v is positive.
v**(1016/3)
Simplify ((((b*(b**(-9)/b)/b)/b*b)/b**(-6))/(b**(-8)*b**5))**24 assuming b is positive.
b**(-24)
Simplify d**(2/15)/d**12*((d**(-4/3)*d*d)/d)**(4/11) assuming d is positive.
d**(-1978/165)
Simplify (s**(3/13))**(-49)/(s*s*(s**11/s*s)/s)**(-3/31) assuming s is positive.
s**(-4089/403)
Simplify v**(-10/11)/v**(-7)*(((v/(v*v**(-2)))/v)/v)**(-3/11) assuming v is positive.
v**(67/11)
Simplify (r**(2/15)*r**(1/5)*r*r*r*r*(r**(-4))**(-2/19))**(-2/45) assuming r is positive.
r**(-542/2565)
Simplify (o/((o*o/(o*o**(2/13)/o))/o*o))**(-10)/((o/(o*o**(1/4)))/o*o*o**(10/7)*o) assuming o is positive.
o**(2287/364)
Simplify (q*(q/(q*q**15))/q)**(20/3)*(q**28/q*q)/(q*q**(-4/13)*q*q) assuming q is positive.
q**(-971/13)
Simplify (y**(-6/7)/y**(-2/13))**(17/6) assuming y is positive.
y**(-544/273)
Simplify ((n**2*n*n)**13*(n/n**(2/5))/(n/(n**(2/3)/n*n)*n))**(3/7) assuming n is positive.
n**(769/35)
Simplify (n**(-3))**15/(n**(-10)*n**(-3/4)) assuming n is positive.
n**(-137/4)
Simplify ((b/(b*(b**(10/9)/b)/b))/b**(6/7))/(b*b/b**(2/43)*b*b*b**(-17)/b) assuming b is positive.
b**(38138/2709)
Simplify ((p/p**(1/3))**(4/13))**(-5/7) assuming p is positive.
p**(-40/273)
Simplify ((x**(-2/7)/x)**16*x**(-1)/x*(x**(-2)*x*x*x)/x)**(2/33) assuming x is positive.
x**(-316/231)
Simplify ((j*j**(3/5)*j**(-1/2)*j*j)/((j**(5/6)*j)/j*j**5/j))**(3/44) assuming j is positive.
j**(-13/110)
Simplify (i**(-4/13)/i**(-16))/((i**(3/16)/i)/(i*i*((i**(5/6)*i)/i)/i*i)) assuming i is positive.
i**(12067/624)
Simplify (k**(3/7))**5/(k**(-10)/(k/(k**(-28)*k))) assuming k is positive.
k**(281/7)
Simplify ((t*(t*(t*(t*t/((t/(t*t*t**0*t))/t*t))/t)/t)/t*t)**(14/5)*(t*t/(t*t**(-2/9)/t))/(((((t/(t*t**(1/5)))/t)/t)/t)/t))**(3/16) assuming t is positive.
t**(919/240)
Simplify ((q/(q*q/((((q/q**(-1))/q)/q*q)/q*q)))/q)**(-37)*q*q**(-4/7)*q*q*q/(q**(1/4)*q)*q assuming q is positive.
q**(1125/28)
Simplify (i**(-4))**(-8/5)*(i*i/i**(2/19)*i)/(i**(1/2)*i) assuming i is positive.
i**(1481/190)
Simplify (q**(-10)/q)**(-18/7)*(q*(q*q*q/(q/((q*q*q/(q/(q**(-13)*q)*q)*q*q*q)/q))*q)/q)**(-25/6) assuming q is positive.
q**(373/7)
Simplify (u**(-13)/(u/(u/(u*u/(u*(((u**(7/8)/u)/u)/u)/u)))))/((((u/u**(-2/9))/u)/u)/u**(-3)) assuming u is positive.
u**(-1393/72)
Simplify (v*v/(v/(v*((v/(v**(-2/17)*v))/v)/v))*v/(v*v**(1/19)*v))/(((v/v**3)/v)/v*v)**7 assuming v is positive.
v**(6481/323)
Simplify ((a/a**(-15))/(a/a**14))/((a**22/a)/((a*a**(-3/22)/a)/a)) assuming a is positive.
a**(151/22)
Simplify ((a**0)**5/((a*((a/a**(1/4))/a)/a)/a**1))**(6/11) assuming a is positive.
a**(15/22)
Simplify ((u*u/((u**1*u)/u*u*u))/u*((u/u**17)/u)/u)/(u**(-2/5)*u*u**(-15)*u) assuming u is positive.
u**(-33/5)
Simplify ((x**(-15)*x)/(x/x**0))**(9/2) assuming x is | {
"pile_set_name": "DM Mathematics"
} |
**2 + 4*p - 3. Calculate -3*d(l) + 2*z(l).
2*l**2 - 7*l + 3
Let v(q) = q + 9. Let l be v(-8). Let t(h) be the first derivative of h**2/2 + h - 110. Let o(y) = 5*y**2 - 2*y - 3. Give l*t(p) + o(p).
5*p**2 - p - 2
Let k(n) = n - 11. Let v = -23 + 45. Let i be (-2)/(-4) + 3044/(-8) + 6. Let j be (-44)/i - (-64)/34. Let u(h) = 1. Determine j*k(r) + v*u(r).
2*r
Let q be (-16)/(352/143)*8/(-26) - -285. Let n(m) = 4715*m. Let o(d) = 82*d. Determine q*o(h) - 5*n(h).
-41*h
Let a(m) = 4*m - 17. Let g(h) = -4*h + 282 + 2*h - 4*h - 273 + 4*h. Give -3*a(c) - 5*g(c).
-2*c + 6
Let g(r) = 4*r + 3. Suppose -23*f + 50 = -65. Suppose 26*p = 2*n + 21*p + 26, 3*n + f = -p. Let m(b) = -1. Calculate n*m(d) - g(d).
-4*d
Let k(h) be the first derivative of h**2/2 - 52. Suppose 3*m = 5 + 70. Suppose -9*d + m - 7 = 0. Let t(v) = -4*v. Give d*k(z) + t(z).
-2*z
Let g(u) = -165*u - 2. Let a(d) = -660*d - 8. Calculate 4*a(w) - 18*g(w).
330*w + 4
Let y(q) = -q. Let d(w) be the first derivative of -2*w**2 - 8*w - 1284. Determine d(t) - 5*y(t).
t - 8
Let c(w) = w**2 - 1. Let k(z) be the third derivative of 13*z**6/40 - z**5/12 + 5*z**3/6 + z**2 + 3393. Give 5*c(y) + k(y).
39*y**3
Let y(o) = -45*o**2 + 21*o + 21. Let h(a) = 9*a**2 - 4*a - 4. Suppose -5*g + 10*g = 3*s + 23, -s - 31 = -5*g. Calculate s*y(p) + 21*h(p).
9*p**2
Let i(u) = -2*u**3 - 3*u. Let g(s) = 41*s - 167. Let n be g(4). Let y(h) = -3*h**3 - 4*h - 1. Give n*y(t) + 4*i(t).
t**3 + 3
Let n(u) be the second derivative of -u**3/6 - u**2/2 + 209*u + 7. Let t(x) = -5 - 20*x + 1 - 3 - 7. Give -28*n(o) + 2*t(o).
-12*o
Let j(c) = -2*c - 1. Let v(p) = 452*p + 8. What is 6*j(r) + v(r)?
440*r + 2
Let s(d) = 3500497*d**3 - 8877*d**2 + 2959*d + 2959. Let m(k) = -5913*k**3 + 15*k**2 - 5*k - 5. What is -2959*m(l) - 5*s(l)?
-5918*l**3
Let s(t) = -1. Let u(d) = -13*d + 196. Let h(i) = 8*i - 141. Let f(p) = 7*h(p) + 5*u(p). Give -f(l) + 6*s(l).
9*l + 1
Let r(y) = -5. Let p(u) = -222*u + 18. Calculate p(d) + 3*r(d).
-222*d + 3
Let d(x) = 23*x + 2793. Let g(o) = 52*o + 5585. Determine -9*d(c) + 4*g(c).
c - 2797
Let x(h) = -h**3 + 7 + 5*h + 1 + 2 - 15 - 3*h**3. Let p(s) = 4*s**3 - 6*s + 6. Calculate -3*p(f) - 4*x(f).
4*f**3 - 2*f + 2
Let l(s) = 2*s + 546. Let u(k) = -8. Give l(d) + 4*u(d).
2*d + 514
Let c = 9652 + -9641. Let y(m) = -56*m. Suppose 1 = 4*n + 9. Let w(j) = -11*j. What is c*w(x) + n*y(x)?
-9*x
Suppose 2*z - 9 = z. Let w(m) = -22*m**2 + z*m + 36*m**2 + 12*m - 21*m**2. Let p(v) = -2*v**2 + 5*v. Calculate 21*p(k) - 5*w(k).
-7*k**2
Let n(j) = 265 + 6*j + 278 + 220 - 778. Let y(t) = 1 + 0 - 3*t + 4 + 2. Determine 6*n(x) + 13*y(x).
-3*x + 1
Suppose -4*f + 4*d + 8 = 36, -3*f = -2*d + 19. Let s(m) = -51904*m + 51905*m - 3 + 2. Let z(b) = 69 - 128 - 3*b + 66. Determine f*s(v) - z(v).
-2*v - 2
Let w(o) be the first derivative of 2*o**2 + o - 4812. Let n(f) = -f**2 + 17*f + 4. Determine -2*n(u) + 9*w(u).
2*u**2 + 2*u + 1
Let q(h) = -2*h**3 - 23*h**2 - 16*h - 49. Let v be q(-11). Let l(u) = -41*u**3 - 6*u**2 - 6. Let f(g) = -287*g**3 - 41*g**2 - 41. What is v*f(t) - 41*l(t)?
-41*t**3
Let b(g) = g + 18. Let t(s) = 29. Let j(k) = -k + 69. Let u(f) = -j(f) + 3*t(f). Give -2*b(w) + 3*u(w).
w + 18
Let s(a) = 57*a**2 + a. Let q(d) = 105*d**2 + 3*d - 1. Calculate 2*q(y) - 5*s(y).
-75*y**2 + y - 2
Let r = 5140 + -5144. Let d(h) = 3*h**3 - 8*h**2 - 6*h + 5. Let k(u) = -2*u**3 + 7*u**2 + 5*u - 4. Give r*d(y) - 5*k(y).
-2*y**3 - 3*y**2 - y
Let c(x) = -75*x**2 - 39. Let r(m) = -299*m**2 - 2*m - 174. Determine -9*c(b) + 2*r(b).
77*b**2 - 4*b + 3
Let x(l) = 4*l**2 - l + 1. Let r(m) = 14*m**2 - 5*m + 3. Calculate 2*r(s) - 9*x(s).
-8*s**2 - s - 3
Let y = -129249 + 129250. Let z(q) = -1. Let u(i) = i**2 - 2*i + 1. Suppose 4 = -4*s - 0*s. Calculate s*z(r) + y*u(r).
r**2 - 2*r + 2
Let a(o) = 2*o**2 - 30*o + 142. Let n(p) = p**2 - 40*p + 141. Calculate 4*a(w) - 3*n(w).
5*w**2 + 145
Let q(j) = 3*j + 3. Let r(h) = 1. Let s(p) = -1. Let f = 275 - 270. Let v(u) = f*s(u) + 6*r(u). What is q(a) - 2*v(a)?
3*a + 1
Let p(a) = -18*a - 5. Let f(u) = -42*u - 3. Let t(v) = -171*v - 8. Let z(l) = -9*f(l) + 2*t(l). Give 7*p(d) + 3*z(d).
-18*d - 2
Let s = -11 - -13. Suppose -4*u + 7 = -m, 2*u - s*m - 1 = 7. Let p(r) = -120 + 56 + 63. Let b(h) = h. Determine u*p(c) - b(c).
-c - 1
Let n(b) = 107*b**3 + 6*b**2 + 8*b - 10. Let f(l) = 3*l**3 - l**2 - l - 1. Determine -6*f(y) - n(y).
-125*y**3 - 2*y + 16
Let x be 16/4 - (2 - 3). Suppose -21*h - 48 = -x*h. Let c(b) = 2*b**2 + 2*b + 1. Let l(n) = 6*n**2 + 5*n + 2. Give h*l(d) + 8*c(d).
-2*d**2 + d + 2
Let a = 21 + -25. Let g(k) = -6*k - 2 + 1 - 2. Let l(s) = s**3 + 2*s**2 - 4*s + 5. Let q be l(0). Let x(t) = -7*t - 4. Determine a*x(y) + q*g(y).
-2*y + 1
Let f(g) = 53*g**3 + 6*g**2 - 3. Let n(d) = -d**3 - d**2 + d + 1. Calculate f(r) + 3*n(r).
50*r**3 + 3*r**2 + 3*r
Let s(c) = 6*c + 12. Let n(w) = -w. Suppose -108*k + 264 = 48. Calculate k*s(l) + 14*n(l).
-2*l + 24
Let j(w) = -4*w**3 + 2*w - 1. Let m(v) = 30*v**3 + 10*v**2 - 15*v + 8. What is -6*j(i) - m(i)?
-6*i**3 - 10*i**2 + 3*i - 2
Let d(v) = 3*v - 43. Let m(k) be the first derivative of -k**2 + 22*k + 464. Calculate 3*d(i) + 5*m(i).
-i - 19
Let p(s) = -266*s + 77. Let o(g) = 7*g - 2. Suppose 5*f + 45 = -5*h - 0, 5*h + 2*f = -36. Let t(k) = 5*k**2 + 32*k + 10. Let y be t(h). Give y*p(m) - 77*o(m).
-7*m
Let a(l) = 97*l + 55. Let n(m) = -136*m - 82. Determine 7*a(h) + 5*n(h).
-h - 25
Let s(a) = 2*a + a**2 + 1 - a - 4*a**2. Let m(o) = -o**2 - 1. Let c = 6775 + -6776. Give c*s(y) + m(y).
2*y**2 - y - 2
Let f(a) = -6*a + 7. Let h = -359 - -360. Let v(x) = -h + 11 - x - 9. Suppose 5*z + 1 + 4 = 0. Give z*f(m) + 4*v(m).
2*m - 3
Let d(p) = 4*p**3 - 3*p**2 - 308*p. Let f(g) = 8*g**3 - 5*g**2 - 617*g. Give 5*d(n) - 3*f(n).
-4*n**3 + 311*n
Let c(a) = 1116*a**2 + 72*a + 72. Suppose 2*m = -3*w - 7, 2*m = -3*w + 2*w - 9. Let z(r) = -77*r**2 - 5*r - 5. Give m*c(k) - 72*z(k).
-36*k**2
Let w(u) = u - 8. Let d(h) = 6*h + 5. Let b(z) = 5*z + 4. Let o(x) = -9*x - 23. Let k be o(-3). Let r(y) = k*d(y) - 5*b(y). Give -3*r(n) - w(n).
2*n + 8
Let b(i) = i + 6. Let w(z) = 1. Let l(c) = -b(c) + 6*w(c). Let v be (-1)/((-12)/(-18)*(-3)/2). Let t(q) = 7*q**2 - 3*q + 1. Determine v*t(d) - 3*l(d).
7*d**2 + 1
Let x(o) = -25*o**2 - 12*o - 13. Let c(y) = 43*y**2 + 20*y + 21. Determine -8*c(b) - 13*x(b).
-19*b**2 - 4*b + 1
Let w(l) = 251699908*l + 61220. Let k(y) = -12334*y - 3. Determine 61220*k(n) + 3*w(n).
12244*n
Let q(g) = 46*g + 114. Let o(c) = 39*c + 116. What is 6*o(n) - 5*q(n)?
4*n + 126
Let u(j) = 6*j + 1. Let x(t) = 41*t - 116. Calculate 5*u(k) - x(k).
-11*k + 121
Let f(q) = -10*q**2 + 35*q - 24. Let p(a) = -38*a**2 + 131*a - 96. Give -15*f(u) + 4*p(u).
-2*u**2 - u - 24
Let p be (50/(-3))/((-34)/663). Suppose -4*o = o - p. Let n = o + -60. Let v(i) = i**2 + 6. Let j(s) = 2*s**2 + 7. What is n*v(w) - 4*j(w)?
-3*w**2 + 2
Let s(f) = 3*f**2 + 56*f - 9. Let j(l) = 6*l**2 + 110*l - 21. Give 2*j(k) - 5*s(k).
-3*k**2 - 60*k + 3
Let t(u) = u**2 + u - 3. Let y(f) = -3981*f**2 - 3*f + 5. Give -2*t(n) - y(n).
3979*n**2 + n + 1
Let x(y) = -2*y + 8. Let a(w) = -w + 103. Let i(q) = 2*q - 131. Let o(m) = -5*a(m) - 4*i(m). Calculate 3*o(s) - 4*x(s).
-s - 5
Let p(v) = -78*v - 6133. Let m(d) = 14*d + 1227. What is 11*m(c) + 2*p(c)?
-2*c + 1231
Let c(m) = -5*m - 5*m**2 - 2249 + 1154 + 62*m**3 + 1102. Let i(b) = -31*b**3 + 2*b**2 + 2*b - 3. What is 2*c(f) + 5*i(f)?
-31*f**3 - 1
Let t(j) = 27*j + 47. Let p(r) = -24*r - 46. What is 3*p(w) + 2*t(w)?
-18*w - 44
Let v(g) = 15*g. Let w(c) = -c. Suppose 3*a + 25 = -5*z, 4*z + 15*a + 33 = 10*a. Let k be ((-9)/6)/(-1)*z. Determine k*v(u) - 36*w(u).
-9*u
Let n(z) = -2*z**2 + 6*z - 62. Let l(x) = -x**2 + 4*x - 63. Give -6*l(t) + 4*n(t).
-2*t**2 + 130
Let r(k) = -147*k + 16 + 100*k + 82*k - 19. Let m(t) = 17*t - 1. Calculate -5*m(n) + 2*r(n).
-15*n - 1
Let r(q) = q**3 + q**2 + 1. Let n(u) = -38*u**3 - 26*u**2 - 3. Let k(g) = -26*g**3 - 18*g**2 - 2. Let f(h) = -7*k(h) + 5*n(h). What is -f(y) - 4*r(y)?
4*y**3 - 3
Let t(a) = 133*a**2 + 8*a - 21. Let d(p) = 67*p**2 + 4*p - 12. Give -7*d(w) + 4*t(w).
63*w**2 + 4*w
Let c(x) = 10*x + 10. Suppose -27 = 2*i - 29. Let p(w) = -6*w + 7 - 6 - i - 8. Let g(d) = -d + 1. Let y(t) = -g(t) - p(t). Calculate -5*c(b) + 7*y(b).
-b - 1
Let r(j) = | {
"pile_set_name": "DM Mathematics"
} |
, 1 y, and 2 e when four letters picked without replacement from {c: 1, d: 1, n: 1, m: 1, e: 2, y: 2}?
1/35
What is prob of picking 1 z and 2 d when three letters picked without replacement from zzzzzzzzddzzzzzzzz?
1/51
Two letters picked without replacement from {c: 6, p: 1, y: 1, x: 1, u: 2, g: 5}. Give prob of picking 1 u and 1 c.
1/10
What is prob of picking 1 l and 2 g when three letters picked without replacement from llgwlgg?
9/35
What is prob of picking 3 o and 1 b when four letters picked without replacement from oobbbboooobb?
8/33
Three letters picked without replacement from qdkntdtj. Give prob of picking 1 q, 1 n, and 1 k.
1/56
Four letters picked without replacement from inionoipnn. Give prob of picking 1 p, 1 o, 1 n, and 1 i.
4/35
What is prob of picking 4 g when four letters picked without replacement from {h: 3, g: 5}?
1/14
What is prob of picking 1 f and 1 k when two letters picked without replacement from kkffkkfkfk?
8/15
Four letters picked without replacement from {u: 6, a: 3, w: 2, c: 4}. What is prob of picking 1 u, 2 a, and 1 w?
12/455
What is prob of picking 1 f and 1 d when two letters picked without replacement from dfnoo?
1/10
Two letters picked without replacement from {y: 1, x: 1, i: 3}. Give prob of picking 1 x and 1 y.
1/10
What is prob of picking 2 w when two letters picked without replacement from wwaeeaaeweaaww?
10/91
Four letters picked without replacement from axaaaeadaaaxaaraaaa. Give prob of picking 2 a, 1 x, and 1 d.
91/1938
What is prob of picking 3 x and 1 n when four letters picked without replacement from {x: 3, e: 4, v: 2, o: 2, h: 1, n: 2}?
2/1001
What is prob of picking 1 m and 1 w when two letters picked without replacement from {l: 2, d: 3, b: 1, g: 4, m: 3, w: 2}?
2/35
Two letters picked without replacement from {y: 3, w: 5, k: 7, r: 2}. Give prob of picking 1 r and 1 k.
7/68
What is prob of picking 2 k when two letters picked without replacement from {m: 3, d: 1, q: 4, b: 2, l: 3, k: 2}?
1/105
Calculate prob of picking 4 q when four letters picked without replacement from qqqqqqqqqq.
1
Two letters picked without replacement from hhuwuywhuyxyhhh. What is prob of picking 2 u?
1/35
Two letters picked without replacement from llflmmpffpflfeffr. What is prob of picking 1 m and 1 e?
1/68
What is prob of picking 2 o when two letters picked without replacement from {o: 2, l: 6, d: 10}?
1/153
Two letters picked without replacement from ohoooxhkaohoohah. Give prob of picking 1 o and 1 a.
7/60
What is prob of picking 2 d when two letters picked without replacement from ttttdttdttttt?
1/78
Calculate prob of picking 2 p and 1 a when three letters picked without replacement from ppappppppppppppppppp.
3/20
What is prob of picking 1 y and 1 g when two letters picked without replacement from fjyhjkgf?
1/28
Calculate prob of picking 1 v and 1 f when two letters picked without replacement from lgkfvgvsfvksklk.
2/35
Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {y: 8, s: 8, f: 2}.
16/153
Three letters picked without replacement from kqquuqqujjqkkkkkk. Give prob of picking 2 k and 1 q.
21/136
What is prob of picking 3 b and 1 m when four letters picked without replacement from {b: 7, m: 9}?
9/52
What is prob of picking 3 n when three letters picked without replacement from {d: 11, p: 1, n: 6}?
5/204
Three letters picked without replacement from {v: 1, q: 2, x: 2, j: 1, g: 1}. Give prob of picking 1 j, 1 g, and 1 v.
1/35
Four letters picked without replacement from ozzzmzzzmzzozmzzzz. Give prob of picking 1 z, 1 m, and 2 o.
13/1020
Four letters picked without replacement from {y: 4, l: 3, i: 3, g: 3}. What is prob of picking 1 i, 1 l, and 2 g?
27/715
What is prob of picking 3 o when three letters picked without replacement from euuuuuuouououuu?
1/455
What is prob of picking 1 b, 1 w, and 1 u when three letters picked without replacement from {b: 3, w: 4, u: 7}?
3/13
Four letters picked without replacement from {g: 10, b: 8, f: 1}. What is prob of picking 1 f, 2 b, and 1 g?
70/969
Calculate prob of picking 2 w and 2 z when four letters picked without replacement from {z: 4, y: 10, w: 6}.
6/323
What is prob of picking 3 a when three letters picked without replacement from {w: 12, a: 1}?
0
Calculate prob of picking 2 u and 2 k when four letters picked without replacement from {s: 1, q: 1, k: 1, u: 2}.
0
Four letters picked without replacement from {c: 1, r: 7, p: 2, j: 8}. What is prob of picking 2 r and 2 p?
7/1020
Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {v: 1, m: 1, j: 1, q: 1, o: 1}.
1/10
Three letters picked without replacement from {v: 3, h: 7, n: 1, w: 3}. What is prob of picking 1 n and 2 h?
3/52
Two letters picked without replacement from {q: 2, y: 3, u: 1, n: 4, m: 1}. Give prob of picking 1 u and 1 q.
2/55
Calculate prob of picking 2 l, 1 e, and 1 h when four letters picked without replacement from {b: 6, h: 5, e: 1, l: 5, g: 2}.
25/1938
Two letters picked without replacement from dhhsuph. Give prob of picking 1 p and 1 d.
1/21
What is prob of picking 2 h and 1 v when three letters picked without replacement from jrrjhvjjhrrjj?
1/286
What is prob of picking 1 h, 1 r, 1 w, and 1 t when four letters picked without replacement from wfrffwtttthffftff?
1/238
Three letters picked without replacement from {f: 1, d: 6, o: 1, i: 1}. Give prob of picking 1 f, 1 d, and 1 i.
1/14
What is prob of picking 1 w and 2 e when three letters picked without replacement from ewpmmepeeppepepppp?
5/272
Calculate prob of picking 4 y when four letters picked without replacement from yyyyyy.
1
Four letters picked without replacement from {j: 4, z: 7}. What is prob of picking 1 j and 3 z?
14/33
Calculate prob of picking 1 d and 2 r when three letters picked without replacement from {z: 4, d: 2, r: 2, j: 5, b: 1, q: 1}.
2/455
What is prob of picking 3 c and 1 h when four letters picked without replacement from hhhchhhhhhcchh?
1/91
Calculate prob of picking 2 o when two letters picked without replacement from lolo.
1/6
Three letters picked without replacement from gqgmgmzzzz. Give prob of picking 1 g, 1 q, and 1 z.
1/10
Calculate prob of picking 1 j, 1 l, and 1 c when three letters picked without replacement from {l: 1, b: 5, c: 3, j: 1}.
1/40
Two letters picked without replacement from hhhhhiihiiii. What is prob of picking 1 i and 1 h?
6/11
Two letters picked without replacement from {b: 4, y: 2, f: 2}. What is prob of picking 1 b and 1 y?
2/7
Four letters picked without replacement from {e: 1, v: 3, m: 2, h: 3, i: 1}. What is prob of picking 1 m, 2 h, and 1 i?
1/35
Calculate prob of picking 2 h when two letters picked without replacement from {w: 1, h: 14}.
13/15
Calculate prob of picking 1 b, 1 r, and 1 j when three letters picked without replacement from {i: 6, j: 1, b: 4, r: 3}.
3/91
What is prob of picking 1 d and 1 i when two letters picked without replacement from {i: 1, d: 3}?
1/2
Calculate prob of picking 1 l, 1 o, and 1 z when three letters picked without replacement from {z: 3, l: 3, o: 3, f: 1, w: 1}.
9/55
Calculate prob of picking 2 n when two letters picked without replacement from dnjjjfddnje.
1/55
Calculate prob of picking 1 g, 1 f, and 1 p when three letters picked without replacement from pggpgiigifgfppi.
8/91
Four letters picked without replacement from cdaakyckchaa. Give prob of picking 2 c, 1 h, and 1 k.
2/165
Two letters picked without replacement from alaalamaaa. Give prob of picking 1 m and 1 a.
7/45
Calculate prob of picking 1 v, 1 r, and 1 k when three letters picked without replacement from vqkqqcqkkrvqkvqq.
3/140
What is prob of picking 1 i and 1 r when two letters picked without replacement from qviiirirgvrgvirrir?
4/17
What is prob of picking 2 o when two letters picked without replacement from oooboaooyaooob?
36/91
Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {u: 1, c: 1, l: 1, i: 1, t: 3}.
1/21
What is prob of picking 1 c, 1 x, and 1 v when three letters picked without replacement from vvrvrvccqqvxcrvcr?
3/85
Calculate prob of picking 1 k, 1 q, and 1 m when three letters picked without replacement from {u: 3, g: 4, m: 1, a: 3, k: 3, q: 1}.
3/455
Three letters picked without | {
"pile_set_name": "DM Mathematics"
} |
h(4).
2
Let v(z) = -4244*z + 475240. Determine v(112).
-88
Let b(c) = -2*c**2 - 589*c - 27801. Calculate b(-59).
-12
Let n(y) = 13074*y + 3464556. What is n(-265)?
-54
Let b(y) = -2*y**3 + 53*y**2 - 34*y - 125. What is b(2)?
3
Let w(d) = 2*d**3 - 188*d**2 + 1990*d - 260. What is w(12)?
4
Let v(o) = -3131*o**2 - 46996*o - 455. What is v(-15)?
10
Let t(n) = -1709*n - 17060. Calculate t(-10).
30
Let b(r) = 14481*r - 29206. What is b(2)?
-244
Let w(o) = 37*o**3 + 3*o**2 + 1032*o + 1031. What is w(-1)?
-35
Let o(g) = -g**3 + 34*g**2 - 107*g - 1363. Determine o(10).
-33
Let t(n) = -301*n - 58101. Give t(-193).
-8
Let t(j) = -1325*j - 9159. What is t(-7)?
116
Let b(i) = -150*i - 17108. What is b(-111)?
-458
Let c(r) = -13493*r - 663. Determine c(0).
-663
Let q(w) = 2*w**2 - 537*w - 1373. What is q(271)?
-18
Let k(w) = -11*w**2 + 33*w + 180. What is k(-4)?
-128
Let x(q) = 12*q**2 + 195*q + 42. Give x(-14).
-336
Let p(v) = 2*v**3 + 135*v**2 - 75*v - 477. Give p(-68).
-1
Let b(j) = -4*j**2 - 111*j + 1929. Determine b(12).
21
Let x(z) = 9*z**2 - 140*z + 286. Calculate x(16).
350
Let g(h) = 44*h**2 + 414*h - 250. Determine g(-10).
10
Let n(u) = -u**2 - 25*u - 930. Calculate n(21).
-1896
Let i(d) = -10*d**2 + 107*d + 12. Determine i(1).
109
Let k(g) = -g**2 - 266*g - 808. Give k(-3).
-19
Let t(n) = 2*n**2 + 415*n - 16969. Calculate t(-242).
-271
Let d(k) = 3*k**3 + 103*k**2 + 397*k - 124. Determine d(-30).
-334
Let d(p) = 15*p**2 - 5118*p - 79023. Calculate d(356).
9
Let r(z) = 5*z**2 + 125*z - 11110. What is r(36)?
-130
Let u(s) = 366*s**2 - 54902*s + 186. Determine u(150).
-114
Let o(v) = 301*v - 15878. Determine o(53).
75
Let i(s) = -s**3 - 303*s**2 - 665*s - 18954. What is i(-301)?
9
Let m(j) = -7*j**3 - j**2 + 60*j + 188. Determine m(-3).
188
Let y(u) = -55*u**3 - 12043*u**2 + 680*u + 52990. Determine y(-219).
-8
Let j(p) = -2*p**3 + 35*p**2 + 203*p + 121. What is j(-4)?
-3
Let p(r) = 5*r**3 - 28*r**2 - 164*r - 179. What is p(-2)?
-3
Let u(p) = 203*p**2 - 2586*p - 280. Give u(13).
409
Let h(o) = 2*o**2 + 166*o - 11241. Determine h(-127).
-65
Let b(s) = -s**3 - 10*s**2 - 195*s - 2098. Give b(-10).
-148
Let l(a) = -109*a**2 + 4798*a + 17. What is l(44)?
105
Let s(i) = i**3 + 7*i**2 - 2911*i - 11695. What is s(-4)?
-3
Let x(u) = -13*u**2 + 93*u + 255. Determine x(12).
-501
Let j(q) = 74*q**2 + 380*q + 39. Determine j(-6).
423
Let g(v) = v**2 - 102*v + 1779. Determine g(27).
-246
Let k(p) = -45140*p - 270919. Give k(-6).
-79
Let y(s) = -s**3 + 156*s**2 - 5891*s - 595. Determine y(64).
-787
Let m(t) = -t**2 - 58966*t - 235864. What is m(-4)?
-16
Let d(c) = 1096*c - 69051. What is d(63)?
-3
Let j(h) = 9*h**3 + 306*h**2 - 29*h - 971. Calculate j(-34).
15
Let y(k) = -k**3 + 872*k**2 + 9666*k + 41513. Determine y(883).
12
Let s(t) = 97*t - 941. Give s(10).
29
Let k(g) = 4165*g - 54129. Calculate k(13).
16
Let j(z) = -54*z**3 + 10*z**2 + 65*z - 133. What is j(2)?
-395
Let i(c) = 4450*c - 64645. Give i(14).
-2345
Let p(o) = 22*o**3 + 177*o**2 - 2*o - 109. Give p(-8).
-29
Let z(s) = 2*s**3 - 72*s**2 + 11*s - 321. Calculate z(36).
75
Let t(m) = -2*m**2 - 74*m + 688. What is t(-45)?
-32
Let o(v) = 7*v**2 - 28*v + 48. What is o(-9)?
867
Let h(c) = c**3 - 81*c**2 + 1095*c - 91. Determine h(17).
28
Let r(b) = -193093*b - 579272. Give r(-3).
7
Let q(y) = 5054*y - 32157. Determine q(6).
-1833
Let a(f) = 2*f**2 + 985*f - 5941. Calculate a(6).
41
Let p(v) = 13*v**2 - 4090*v - 5943. Give p(316).
-255
Let p(w) = -1698*w - 6077. Give p(-3).
-983
Let w(z) = -z**3 + 229*z**2 - 2399*z + 140. Determine w(218).
-78
Let d(s) = 445*s - 6057. Determine d(9).
-2052
Let t(g) = -191*g + 8162. Determine t(44).
-242
Let u(y) = 20*y**2 + 134*y - 40. Give u(-9).
374
Let v(s) = -s**2 - 318*s + 5421. Determine v(17).
-274
Let z(o) = o**3 - 119*o**2 - 1438*o + 1099. Determine z(130).
59
Let b(v) = 4*v**3 + 253*v**2 - 430*v + 487. Calculate b(-65).
-1138
Let u(x) = 92*x**3 + 631*x**2 - 25*x + 13. What is u(-7)?
-449
Let z(b) = b**2 - 183*b - 24157. What is z(272)?
51
Let x(n) = -n**3 + 476*n**2 - 6682*n + 13377. Give x(12).
9
Let n(g) = -322*g - 4987. Give n(-19).
1131
Let k(v) = -6993*v + 26803. Calculate k(4).
-1169
Let v(a) = 7*a**2 + 127*a - 47. Give v(12).
2485
Let h(c) = 77347*c + 4408765. Calculate h(-57).
-14
Let g(t) = -t**3 + 92*t**2 + 221*t - 3115. Calculate g(94).
-13
Let z(r) = r**2 - 17*r - 186. Determine z(35).
444
Let c(v) = 10*v**3 + 135*v**2 + 426*v - 113. Calculate c(-6).
31
Let f(l) = -l**2 + 62*l + 4267. What is f(-45)?
-548
Let y(f) = 1258*f**2 + 152*f - 2. What is y(1)?
1408
Let z(b) = 3193*b - 1893. What is z(1)?
1300
Let k(v) = 2*v**3 + 179*v**2 + 3903*v + 654. Calculate k(-37).
-12
Let w(k) = -2*k**2 + 52*k - 1627. Give w(0).
-1627
Let u(l) = -l**2 - 21671*l - 2907351. Determine u(-135).
9
Let l(v) = v**3 + 23*v**2 - 94*v - 267. Determine l(-26).
149
Let s(x) = x**3 + 113*x**2 + 1131*x + 950. Calculate s(-102).
32
Let p(g) = -4*g**3 + 70*g**2 - 47*g + 401. Determine p(7).
2130
Let h(c) = 2*c**3 + 18*c**2 - 33*c - 69. What is h(-13)?
-992
Let u(i) = i**3 - 12*i**2 - 96954*i + 872828. Determine u(9).
-1
Let p(o) = o**3 - 38*o**2 - 52*o + 266. Give p(39).
-241
Let i(h) = 16*h**2 - 616*h + 4808. What is i(30)?
728
Let l(t) = 2*t**3 + 98*t**2 + 860*t + 527. What is l(-10)?
-273
Let h(y) = -8*y**3 - 10*y**2 - 71*y - 329. What is h(-5)?
776
Let c(u) = u**3 - 122*u**2 + 377*u + 11167. What is c(118)?
-43
Let g(n) = 1317*n - 8031. Determine g(5).
-1446
Let j(w) = -17690*w - 229964. What is j(-13)?
6
Let l(k) = k**3 - 190*k**2 - 1390*k - 78. Give l(-7).
-1
Let n(l) = -6*l**3 + 285*l**2 - 132*l - 365. Give n(47).
58
Let l(y) = -407*y + 1894. What is l(6)?
-548
Let l(a) = -5*a**3 + 14*a**2 + 145*a - 203. Calculate l(8).
-707
Let t(g) = -g**3 - 40*g**2 - 460*g - 332. Determine t(-23).
1255
Let s(u) = 7*u**3 + 24*u**2 - 102*u + 118. What is s(4)?
542
Let u(l) = -l**3 - 62*l**2 - 458*l + 1121. What is u(-53)?
114
Let j(k) = 25608*k + 230342. What is j(-9)?
-130
Let i(g) = -g**3 - 58*g**2 - 608*g + 120. What is i(-14)?
8
Let b(g) = -4727*g - 14305. Determine b(-3).
-124
Let m(c) = 2*c**2 + 205*c + 5355. Determine m(-43).
238
Let y(w) = -4*w**3 + w**2 + 42*w - 690. What is y(0)?
-690
Let a(v) = 94*v + 3048. What is a(-35)?
-242
Let s(j) = j**3 + 328*j**2 - 674*j - 4665. Calculate s(-330).
-45
Let x(m) = 134*m + 23852. Calculate x(-178).
0
Let o(g) = 2660*g + 21272. Give o(-8).
-8
Let r(l) = -71447*l - 71469. Calculate r(-1).
-22
Let p(q) = -q**3 - 23*q**2 + 209*q + 3842. What is p(-25)?
-133
Let f(w) = -w**2 - 1411*w - 22301. Determine f(-16).
19
Let y(f) = -1178*f + 32935. Calculate y(28).
-49
Let m(b) = 13328*b + 39729. Give m(-3).
-255
Let r(w) = -7552*w + 37533. What is r(5)?
-227
Let v(y) = 2*y**3 - 313*y**2 - 17105*y + 2234. Give v(-43).
-2
Let q(k) = -3*k**3 + 126*k**2 + 150*k - 899. Calculate q(43).
4
Let t(s) = -s**3 - 63*s**2 - 572*s + 30. Give t(-11).
30
Let c(p) = 338*p + 92530. Give c(-274).
-82
Let u(x) = 12*x**3 - 29*x**2 - 106*x - 9. What is u(-4)?
-817
Let p(s) = -5*s**3 - 2435*s**2 + 2442*s - 6. Give p(1).
-4
Let l(r) = 17*r**2 - 10*r - 72. Give l(-5).
403
Let f(k) = -11*k**2 - 890*k - 6060. Determine f(-7).
-369
Let g(o) = 63506*o - 508361. Calculate g(8).
-313
Let a(x) = 386*x - 86797. Give a(225).
53
Let t(l) = -153*l**2 + 13465*l - 48. What is t(88)?
40
Let x(g) = -7*g**2 + 459*g - 2473. Calculate x(59).
241
Let g(m) = 13*m**2 + 2371*m + 11884. Give g(-5).
354
Let s(f) = 10*f**3 - 69*f**2 + 19*f - 177. Calculate s(7).
5
Let m(f) = 2*f**3 - 284*f**2 + 69*f - 9815. Determine m(142).
-17
Let v(c) = c**3 - 118*c**2 + 719*c - 11. Give v(7).
-417
Let k(w) = -3*w**2 + 610*w - 30468. Determine k(88).
-20
Let l(t) = -6026*t + 11423. Determine l(2).
-629
Let d(t) = 302*t**2 - 2705*t - 117. What is d(9)?
0
Let c(i) = 295*i - 81764. Give c(280).
836
Let r(l) = 85*l**2 + 1361*l - 4829. Determine r(-19).
-3
Let p(k) = 3538*k - 633248. What is p(179)?
54
Let i(v) = 10*v**2 + 388*v - 1273. Calculate i(3).
-19
Let h(o) = -387895*o + 2715278. Give h(7).
13
Let v(w) = 2*w**3 - 72*w**2 + 190*w + 41. Determine v(33).
-223
Let d(l) = -976*l - 48834. Give d(-50).
-34
Let p(z) = -z**3 + 26*z**2 + 1160*z - 1595. Calculate p(49).
22
Let z(j) = 2*j**3 - 143*j**2 - 511*j + 31611. What | {
"pile_set_name": "DM Mathematics"
} |
ng order.
f, 1, o
Let h = 6/5 + -3/5. Sort h, -3, 0.4 in increasing order.
-3, 0.4, h
Let v = 12 + -9. Let j be (5/(-3))/(1/v). Sort j, -4, 1 in ascending order.
j, -4, 1
Let w(m) = -m**2 - m + 1. Let c be w(-2). Let h(j) = -10*j**3 - 2*j**2 - 2*j - 1. Let q be h(c). Suppose -3*o = q - 3. Put 3, o, 2/13 in descending order.
3, 2/13, o
Suppose 0 = 3*r - 7*r + 5*n + 15, -5*n = -3*r + 10. Suppose 2*y + 5*a - 14 = 0, -5*y - r*a + 3*a - 7 = 0. Sort y, 2, 0 in increasing order.
y, 0, 2
Let r = 0.43 - 1.43. Sort r, 1/2, 0.2.
r, 0.2, 1/2
Suppose -4*h - 19 = -3. Sort 2, h, 4 in increasing order.
h, 2, 4
Let u = -0.82 - -4.82. Let y = -1.1 + 0.1. Let b = y - -0.6. Sort b, -0.3, u.
b, -0.3, u
Let c = 30 + -18. Let d = c + -12.3. Sort -3, d, -8.
-8, -3, d
Let m = -1 - 0. Let k be 36/15 - 2 - -187. Let a = k - 188. Put a, -2, m in ascending order.
-2, m, a
Suppose 4*z = -2*g + 4 - 24, 4 = -2*g. Let c be (0 - 0)/((-1)/(-1)). Sort z, c, 3 in descending order.
3, c, z
Let l be -1 - (2/1 - -2). Suppose 0 = 3*a + 10 - 1. Let j be (-10)/(-15) + 8/a. Sort l, -3, j in increasing order.
l, -3, j
Let z be (10/8)/((-9)/(-72)). Suppose -z = -2*p - 0*p. Sort -2, 8, p.
-2, p, 8
Let d = -0.65 - -0.25. Put -4, d, 0.1 in descending order.
0.1, d, -4
Let y = -2633/17 + 155. Put -4, y, 2 in ascending order.
-4, y, 2
Let k = -2 - -4. Let y be -3*((-8)/(-12))/k. Suppose -5*w - 3*d = -4*d - 20, d = -w + 4. Put 2, y, w in ascending order.
y, 2, w
Let o = -1.9 - 1.6. Let v = o - 10.5. Let m = 9 + v. Sort -1, m, 5 in increasing order.
m, -1, 5
Let s be (-1 - 1) + -4*24/32. Sort 10, s, -4, 3.
s, -4, 3, 10
Let z(l) = l**3 + 10*l**2 - 10*l + 14. Let y be z(-11). Let b(v) = -v**2 - 5*v - 3. Let d be b(-4). Put d, 4, y in ascending order.
d, y, 4
Let c = -19 + 19. Suppose 2*i - 27 + 11 = -5*s, -s - 2*i = -8. Sort c, s, 5.
c, s, 5
Let p be (-4)/3*9/42. Let y = -0.25 - -0.05. Sort p, 5, y in descending order.
5, y, p
Let g be -1 + 1 + 0 - (3 + -4). Sort -2, g, 0, 5 in decreasing order.
5, g, 0, -2
Let z(o) = -3*o**3 - o**2 + 1. Let w be z(-1). Sort w, -8, -5 in ascending order.
-8, -5, w
Let o = 62 - 62. Sort 4, o, -3, -5 in descending order.
4, o, -3, -5
Let q(n) = -n + 7. Let i be q(5). Suppose i*u - 8 = -0*u. Let l be u - (2/(-1) + 2). Sort -0.4, l, -0.1.
-0.4, -0.1, l
Suppose 4*j + 4*w - 46 + 138 = 0, -3*j - 2*w - 74 = 0. Sort j, 4/7, 3.
j, 4/7, 3
Suppose 3*s = -4*p + 6*s + 2, 0 = -2*p + 4*s + 6. Put p, -3, 0 in descending order.
0, p, -3
Let q(j) = -j**2 - 4*j + 7. Let w be q(-5). Sort -3/2, w, 0 in ascending order.
-3/2, 0, w
Suppose 0*x - x - 2 = 0. Let p be 5/(10/36) + -3. Suppose 2*u + p = -u. Sort 1, u, x.
u, x, 1
Let m(y) = y**3 - 3*y**2 - 6*y + 4. Let h be m(4). Let s = -0.35 - -0.05. Let v be (-15)/(-6)*(-10)/(-25). Sort h, v, s in descending order.
v, s, h
Suppose -o + 5*z = 20, 3*z = o - 4*o + 30. Suppose -3*n = o*s + n + 33, -2*s - 4*n - 18 = 0. Suppose 0 = -0*p + 4*p - 4. Sort p, 2, s in increasing order.
s, p, 2
Suppose -6 + 0 = -2*u. Sort 4, 0.5, u, -1/7 in increasing order.
-1/7, 0.5, u, 4
Let i(y) = -y**2 - 2*y - 1. Let j be i(-3). Let t be (1/j)/((-2)/(-6)). Let w = 38 + -36. Sort w, 0.5, t.
t, 0.5, w
Let d = -4 - -5. Let n(o) = -4*o**3 - o**2 + 1. Let i be n(d). Put i, -0.1, -5/7 in descending order.
-0.1, -5/7, i
Let g be 3/(-4) - (-59163)/(-1596). Let x = g + 264/7. Let p = x + 23/38. Sort p, 3/4, 0.3 in decreasing order.
3/4, p, 0.3
Let k be 3/(126/(-44)) - (-32)/(-112). Sort -2, -1, k, -2/7.
-2, k, -1, -2/7
Let b(j) = -j**2 - 10*j. Let s be b(-10). Let l be 3 - (s + 1/1). Put -3, l, 1 in increasing order.
-3, 1, l
Let c = 5 - 4.7. Sort c, -10, -0.5 in descending order.
c, -0.5, -10
Let i be (-63)/(-14) - 2/4. Suppose -2 - i = 3*q. Put 4, q, 1 in descending order.
4, 1, q
Let l = -32.6 + 33. Sort l, 1/2, 5, -0.5.
-0.5, l, 1/2, 5
Let m = 24 + -27. Put 3, 2, m in decreasing order.
3, 2, m
Let n = 1.6 + -4.6. Sort 3, n, 1.8 in descending order.
3, 1.8, n
Let l = 2 - 3. Let x = -8 + 4. Sort 1, x, l in descending order.
1, l, x
Suppose -3*q = 7 - 19. Suppose 6*o = 3*o + 3. Sort o, q, 5 in increasing order.
o, q, 5
Let m be 0 + -1 + 3 + 1. Suppose t + 4*w + 14 = m*t, 17 = 3*t - 4*w. Suppose -3*c - 7 = -3*b - 22, -c = t*b + 3. Put c, -0.5, -0.1 in descending order.
c, -0.1, -0.5
Let t = 8 + -3. Let f = 5 - 2. Sort t, f, -4.
-4, f, t
Let v = -6 + 5.6. Let l = 0.2 + v. Let u = 0 + l. Put u, -0.1, 0.3 in decreasing order.
0.3, -0.1, u
Let t = -0.034 + 0.114. Let j be 4/2 - (5 + 0). Put j, -1, t in descending order.
t, -1, j
Suppose -5 = -j + 3*g + 5, 4*j + 4*g + 8 = 0. Let q be ((-8)/(-5))/((-2)/5). Put j, q, -2 in decreasing order.
j, -2, q
Suppose -10 = 4*m - 2. Let p = 3 + -3. Put p, 1, m in descending order.
1, p, m
Let o(i) = 2*i**2 + 4*i. Let b be o(-3). Let j be (b - (2 - 1))/1. Sort j, -1/3, -4 in increasing order.
-4, -1/3, j
Let p(d) = -d**3 + 8*d**2 - 6*d - 7. Let o be p(7). Suppose -k - 1 - 1 = o. Sort -1, k, 4.
k, -1, 4
Let k(h) = h**2 + 2*h - 1. Let a be k(1). Sort 5, a, -3 in decreasing order.
5, a, -3
Let d = 0.19 + -0.49. Put 3, d, -2/13 in descending order.
3, -2/13, d
Let k = 3 - 5. Let u = 42.7 + -45. Let b = k - u. Sort b, 3, 2/9 in decreasing order.
3, b, 2/9
Let o = -19 + 19.2. Put -5, 1, o in decreasing order.
1, o, -5
Let q = 2 - 5. Suppose 3*m = 2*m - 1. Let c = -14 + 9. Sort c, q, m in increasing order.
c, q, m
Let h be (-3)/(-3) + -3 + 2. Suppose d + 4 - 2 = h. Let c be 0/(8/d + 3). Sort 5, c, 2/5.
c, 2/5, 5
Suppose -2*a - 2*r = r + 2, -4*r = -4*a - 24. Suppose 12*t - 55 = t. Put a, 1, t in decreasing order.
t, 1, a
Let n(r) = r**3 - 2*r**2 - 2*r + 1. Let v be n(2). Suppose 0 = -2*k - 4. Let b = -66 + 71. Put k, b, v in descending order.
b, k, v
Let i = 6/19 + -69/38. Let j = -10.23 + 0.23. Let u = j - -6. Sort u, 4, i in increasing order.
u, i, 4
Let v = -0.9 - -1. Let y = 0.9 + v. Let i = -0.498 - -0.098. Put -2/3, i, y in decreasing order.
y, i, -2/3
Let u(g) = -g + 1. Let i be u(6). Sort i, 3, -2 in decreasing order.
3, -2, i
Let g = 4/9 - 19/63. Sort g, -5, -2/15 in ascending order.
-5, -2/15, g
Let q(r) = 2*r**3 - r**2 + r - 1. Let k be q(1). Let w be 3/(-6)*-14*k. Let t = w - 3. Sort t, 5, -3 in increasing order.
-3, t, 5
Let w be (-6)/14 - (-4)/(-7). Let o = -1.1 + -3.9. Sort o, 5, w.
o, w, 5
Let m = 21 - 23. Sort -3, -1, m.
-3, m, -1
Let w = -6 - -31/5. Put -3/4, w, -3 in ascending order.
-3, -3/4, w
Let n = -13 + 9. Put 5, -1, n in descending order.
5, -1, n
Let a = 0.13 + 4.87. Let c = 16.8 + -14.8. Sort -5, a, c in descending order.
a, c, -5
Let w = 19 - 10. Let l be (2/(-3))/(15/w). Sort l, 0.1, 1 in decreasing order.
1, 0.1, l
Let i = 2.5 + -0.5. Let v = i + -2.1. Let t = -75 + 301/4. Sort t, 3, v.
v, t, 3
Suppose 3*s = -s + 24. Let b = 4 - s. Let i(w) = -2*w**2 + 5*w - 1. Let d be i(3). Put 3, d, b in descending order.
3, b, d
Let q = -13 + 8. Let w be 6 - (-1 + (-2 - q)). Sort w, 0, -3 in decreasing order.
w, 0, -3
Suppose -32*x + 39*x + 56 = 0. Put -1, x, -5, 5 in ascending order.
x, -5, -1, 5
Let m = 1 + -4. Suppose d = 2*j + 8, -4 = -3*d + 5*j + 18. Put d, -2, m in decreasing order.
d, -2, m
Suppose -5 = -10*p + 15. Put -8, 1, 4, p in increasing order.
-8, 1, p, 4
Suppose -1 = 5*c + 14. Let s(m) = -m**3 + 6*m**2 + 2*m - 9. Let f be s(6). Suppose y = f*j - 2*j + 3, j = -y + 1. Sort 5, j, c in decreasing order.
5, j, c
Let v = 0.1 + 4.9. Let y = -7 - -10. Sort -3, y, v.
-3, y, v
Suppose 0*l - l = 2*a - 5, 5*l + 3*a - 25 = 0. Let d = 0.5 + -4.5. Sort d, 0, l.
d, 0, l
Let w(x) = 0 - 5 + 12 - 2*x + x. Let z be w(6). Sort -5, -3, z in decreasing order.
z, -3, -5
Suppose -4*z + q = -129 - 679, 0 = -3*q. Suppose 3*t = 4*d - z, 188 = -4*t + 3*d - 93. Let k = 220/3 + t. Put -3, k, 5 in decreasing order.
5, k, -3
Let u be (4 - (-15)/(-5))/(2/4). Let q = 33 + -20. Suppose -3*g + q = 1. Sort g, u, -2 in increasing order.
-2, u, g
Let c be ((-2)/(-5))/(4/(-40)). Let t be (c/(-6))/((-4)/(-30)). Let l be -6*(-2 - 4/(-3)). Put 3, l, t in increasing order.
3, l, t
Let d = -7.6 - -1.6. Let r = 5.5 + d. Sort 2/9, 2, r.
r, 2/9, 2
Suppose q + u = 2*u + 2, 4*q - 10 = 5*u. Sort -3, 1, q in descending order.
1, q, -3
Let o = -0.4 - -0.2. Let z = o - -0.4. Let q = -3.1 + -0.9. Sort z, -0.3, q in ascending order.
q, -0.3, z
Let j = -5 + 5.1. Let k | {
"pile_set_name": "DM Mathematics"
} |
is the units digit of 78?
8
What is the tens digit of 1555?
5
What is the tens digit of 1161?
6
What is the units digit of 3095?
5
What is the tens digit of 7258?
5
What is the hundreds digit of 263?
2
What is the hundreds digit of 1355?
3
What is the tens digit of 44482?
8
What is the tens digit of 375?
7
What is the hundreds digit of 19023?
0
What is the tens digit of 62921?
2
What is the tens digit of 3879?
7
What is the hundreds digit of 1661?
6
What is the hundreds digit of 15122?
1
What is the hundreds digit of 417?
4
What is the units digit of 22340?
0
What is the ten thousands digit of 25835?
2
What is the hundreds digit of 3823?
8
What is the hundreds digit of 903?
9
What is the thousands digit of 1521?
1
What is the hundreds digit of 196?
1
What is the thousands digit of 5816?
5
What is the thousands digit of 2168?
2
What is the units digit of 174475?
5
What is the thousands digit of 2236?
2
What is the units digit of 1839?
9
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3
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9
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2
What is the hundreds digit of 26103?
1
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1
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3
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8
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8
What is the units digit of 3287?
7
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1
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0
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2
What is the units digit of 299?
9
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7
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6
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6
What is the thousands digit of 6188?
6
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1
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8
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3
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1
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3
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6
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1
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5
What is the units digit of 132465?
5
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1
What is the thousands digit of 8109?
8
What is the thousands digit of 37196?
7
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2
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1
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2
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6
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0
What is the hundreds digit of 2292?
2
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6
What is the tens digit of 590?
9
What is the tens digit of 4807?
0
What is the hundreds digit of 2388?
3
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3
What is the tens digit of 4919?
1
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5
What is the tens digit of 546?
4
What is the hundred thousands digit of 131445?
1
What is the thousands digit of 3991?
3
What is the thousands digit of 111254?
1
What is the units digit of 378?
8
What is the units digit of 6783?
3
What is the tens digit of 94993?
9
What is the thousands digit of 39272?
9
What is the tens digit of 739?
3
What is the thousands digit of 4182?
4
What is the units digit of 7935?
5
What is the tens digit of 4767?
6
What is the hundreds digit of 5874?
8
What is the tens digit of 1053?
5
What is the thousands digit of 1116?
1
What is the units digit of 18986?
6
What is the thousands digit of 59631?
9
What is the hundreds digit of 4096?
0
What is the ten thousands digit of 80224?
8
What is the units digit of 655?
5
What is the units digit of 3695?
5
What is the thousands digit of 8746?
8
What is the tens digit of 52682?
8
What is the hundreds digit of 8384?
3
What is the tens digit of 20056?
5
What is the thousands digit of 2105?
2
What is the units digit of 449?
9
What is the thousands digit of 70065?
0
What is the tens digit of 11?
1
What is the tens digit of 10342?
4
What is the hundreds digit of 2632?
6
What is the units digit of 10591?
1
What is the tens digit of 27313?
1
What is the thousands digit of 1138?
1
What is the tens digit of 6387?
8
What is the units digit of 740?
0
What is the tens digit of 6855?
5
What is the tens digit of 12477?
7
What is the thousands digit of 8835?
8
What is the units digit of 567?
7
What is the ten thousands digit of 62491?
6
What is the units digit of 66915?
5
What is the units digit of 8714?
4
What is the ten thousands digit of 11505?
1
What is the units digit of 11956?
6
What is the tens digit of 18519?
1
What is the ten thousands digit of 12331?
1
What is the units digit of 105892?
2
What is the tens digit of 89?
8
What is the units digit of 1766?
6
What is the units digit of 34598?
8
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1
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2
What is the ten thousands digit of 57565?
5
What is the tens digit of 37657?
5
What is the units digit of 25?
5
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4
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5
What is the tens digit of 1213?
1
What is the tens digit of 2056?
5
What is the thousands digit of 3029?
3
What is the units digit of 47390?
0
What is the hundreds digit of 102922?
9
What is the thousands digit of 7037?
7
What is the ten thousands digit of 15900?
1
What is the units digit of 610?
0
What is the hundreds digit of 6567?
5
What is the tens digit of 1146?
4
What is the ten thousands digit of 51456?
5
What is the tens digit of 5308?
0
What is the hundreds digit of 26576?
5
What is the tens digit of 1317?
1
What is the units digit of 3854?
4
What is the thousands digit of 68640?
8
What is the units digit of 1296?
6
What is the hundreds digit of 6486?
4
What is the thousands digit of 2260?
2
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4
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5
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6
What is the hundreds digit of 9603?
6
What is the hundreds digit of 129645?
6
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5
What is the ten thousands digit of 22004?
2
What is the units digit of 18631?
1
What is the ten thousands digit of 109917?
0
What is the hundreds digit of 1301?
3
What is the hundreds digit of 102113?
1
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2
What is the tens digit of 53269?
6
What is the units digit of 7174?
4
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1
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2
What is the ten thousands digit of 33751?
3
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2
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1
What is the hundreds digit of 110269?
2
What is the units digit of 24679?
9
What is the thousands digit of 2313?
2
What is the units digit of 4645?
5
What is the units digit of 27?
7
What is the units digit of 5136?
6
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1
What is the hundreds digit of 65883?
8
What is the thousands digit of 11910?
1
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4
What is the tens digit of 2858?
5
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0
What is the units digit of 5949?
9
What is the hundreds digit of 1283?
2
What is the tens digit of 59103?
0
What is the hundreds digit of 112846?
8
What is the hundreds digit of 1409?
4
What is the tens digit of 72597?
9
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9
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9
What is the hundreds digit of 36953?
9
What is the units digit of 2365?
5
What is the units digit of 2643?
3
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3
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3
What is the units digit of 24056?
6
What is the hundreds digit of 898?
8
What is the thousands digit of 1841?
1
What is the units digit of 71260?
0
What is the tens digit of 894?
9
What is the tens digit of 73709?
0
What is the thousands digit of 30839?
0
What is the hundred thousands digit of 115167?
1
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2
What is the tens digit of 2433?
3
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5
What is the units digit of 6333?
3
What is the thousands digit of 20110?
0
What is the units digit of 14498?
8
What is the hundreds digit of 2295?
2
What is the tens digit of 11225?
2
What is the tens digit of 40702?
0
What is the tens digit of 878?
7
What is the tens digit of 2801?
0
What is the hundreds digit of 2043?
0
What is the hundreds digit of 4246?
2
What is the units digit of 1125?
5
What is the units digit of 478?
8
What is the hundreds digit of 297?
2
What is the tens digit of 992?
9
What is the hundreds digit of 1047?
0
What is the thousands digit of 2515?
2
What is the ten thousands digit of 29798?
2
What is the units digit of 327?
7
What is the units digit of 8553?
3
What is the units digit of 798?
8
What is the thousands digit of 29 | {
"pile_set_name": "DM Mathematics"
} |
d(-2). Suppose -11 + 3 = i*y. Let p = 80 + -84. Is p bigger than y?
False
Suppose 11*p + 2 = 2*c + 7*p, 5*c + p = -6. Is c greater than -1/633?
False
Let x(h) = -h**3 + 5*h**2 - 5*h - 2. Let k be x(3). Is -2/15 less than k?
True
Let a = 8 - 5. Suppose 0 = 2*l - 0*l - z - 13, -4*z + 3 = a*l. Suppose -2*u = -u + l*b + 8, u = -b. Which is smaller: -3 or u?
-3
Let b be 4 - 7/(133/94). Is 0 not equal to b?
True
Let c = 196 - 206. Which is bigger: c or -3?
-3
Let v = -39.3 - -63.24. Let f = -24 + v. Which is bigger: 1/2 or f?
1/2
Let k(s) = s - 11. Let p be k(10). Let j(b) = -5*b**2 + 2*b + 1. Let q be j(p). Let t be (-1*1)/(-7 - q). Is t less than 2/21?
False
Let q be 10/4 - (-2)/(-16)*4. Suppose -2 - 3 = -2*v - t, -q*t = v - 7. Which is smaller: v or 2/151?
2/151
Let w be -17 + 18 + (-462)/472. Let u = w - 8039/708. Are -12 and u non-equal?
True
Let z(u) = -u**3 + 6*u**2 - u + 6. Let g be z(6). Suppose 68 = 4*s + 72. Which is smaller: g or s?
s
Let f be (6/(-15))/((-1)/60). Suppose -3*i = g + 15, 4*g = i - 0*i + 5. Let d be i + (-585)/(-20) - 2/8. Is d at least f?
True
Let v = -4 + -1. Let c be v/4*16/(-4). Suppose -15 = -c*u + 3*k, -u = 4*u - 2*k - 10. Is -1 > u?
False
Let i = 1.97 + -2. Suppose 3*z + 7*z + 90 = 0. Let q be (-3)/(z/(-3)) + 6/4. Which is smaller: i or q?
i
Suppose 17 = 10*d - 7*d + 5*i, -2*d + 10 = 3*i. Let p = 26899/22 + -1223. Let c = p - 2/11. Is c less than or equal to d?
False
Let b be 69/92 + (-57)/(-4). Let s be (-3)/(-2) + b/10. Is 3 at most s?
True
Let t(o) = -5*o**2 - 111*o + 112. Let i be t(-25). Which is smaller: i or -237?
i
Let a be 3/(-2)*78/(-9). Which is smaller: 110/9 or a?
110/9
Suppose 3*q - q = -3*y + 2, 5*y + 2*q = 2. Let p = -16630/7 - -2376. Is y less than p?
True
Let o(g) = g**2 - 5*g - 5. Suppose 0 = -v - 2*v + 21. Let j = v + -1. Let u be o(j). Is 0 >= u?
False
Suppose 629 = -85*n + 24514. Is n >= 281?
True
Let n = 35 - 28. Suppose v - n = -0*v. Does 9 = v?
False
Let g be 4/(-6) - 1328/6. Is g equal to -222?
True
Let y(i) = 3*i**2 - 16*i + 8. Let l be y(5). Suppose 2*m - d = 27, 3*d - 45 = m - 4*m. Let a = 18 - m. Is l < a?
True
Let b be (-30)/(-8)*(-96)/(-1200). Suppose 2*k = 7*k - 5. Is b greater than k?
False
Suppose l + 82 = 3*l. Let a be (3/(-3) + -1)/l. Let o = -1584 - -1585. Which is smaller: a or o?
a
Let g = 17 - 18. Let t be 1 + 2 - (g - -3). Is t less than 1/8?
False
Let a be 15/(-2)*322/69. Is -36 greater than or equal to a?
False
Let n be ((-10)/(-105))/(-4 - 478/(-120)). Do n and -6 have different values?
True
Let n = 11.11 + 1.99. Let l = -13 + n. Is -0.2 > l?
False
Suppose 3*a + 6 = i - 0, -3*a = -3*i - 12. Let v(n) be the second derivative of n**5/20 - 2*n**4/3 - n**3/6 + n**2 + 2*n - 12. Let s be v(8). Is i > s?
False
Let o = 2.4 + 10.6. Let l = o + -9. Let h = l - 2. Is 2 at least as big as h?
True
Suppose 5*q - 706 = 644. Does 272 = q?
False
Let o = 31 + -32. Let n be (-4)/(-10)*5*o. Is -4/5 at least n?
True
Let l be (-6 - -1)*(5 + -6). Let a be (-10)/(-42) - l/15. Suppose -b + i = 2*b + 4, -2*i = 5*b + 3. Which is bigger: a or b?
a
Let b = -1109/9 - -123. Let o = 9.9 - 10. Is o <= b?
False
Let g = -60.1 + 56. Let l = g - -1.1. Which is greater: l or -4?
l
Let w = 1 + -1. Let o(j) = 2*j**3 - 6*j**2 - 12*j + 35. Let r be o(3). Is w less than or equal to r?
False
Suppose 0 = n - 5, 2*n = -0*b + b + 30. Let j be (-2)/(-8)*(-368)/b. Do j and 6 have the same value?
False
Let p = 893/425 - 154/25. Which is smaller: p or -4?
p
Suppose 0 = 5*n - 4*n + 4. Let w be (-2)/n - 490/(-20). Which is smaller: 22 or w?
22
Suppose 0 = -d + 2 - 0. Suppose -218 = 2*j + d*r + 4, -3*j = 2*r + 334. Let u = -562/5 - j. Which is greater: u or 1?
1
Suppose -6*g - 56 = -2*g. Let u = 24 + g. Let s(j) = -j**2 + 10*j - 1. Let t be s(u). Is t > 4?
False
Let u(h) = -23*h**2 + 7*h + 47. Let p be u(-4). Are p and -348 equal?
False
Let s = 1517.1 - 1517. Is 260 >= s?
True
Suppose 8*v = 3*v - 20. Let g be ((-33)/649)/(6/v). Suppose 4 = 2*a + 2*a. Which is smaller: a or g?
g
Let x = -2 - -4. Let m be (1 + 3)/(x/3). Let i = m + -1. Which is smaller: 2/5 or i?
2/5
Let o = 10 + -3. Let x be -6 + 2 + 3 + -2. Let v = o - x. Which is smaller: v or 11?
v
Let k be ((-72)/(-27))/((-2)/12). Let z(s) = s**2 + 16*s - 11. Let i be z(k). Do i and -12 have different values?
True
Suppose w - 2*w + 4 = 0. Let h = w + -3. Suppose -4*o + 14 = -5*x, -26*o - 3 = -27*o + x. Is h >= o?
True
Let z = 768 + -753. Let a = 9 - -2. Let k be 3/z - a/(-45). Which is smaller: k or 0?
0
Let r = 399 + -295. Are 103 and r nonequal?
True
Let q be 4/14 + (-358)/1106. Let c be (-124)/682 - (-3352)/11297. Let s = c + q. Is s less than 2/5?
True
Suppose -58 = -0*k - 3*k + 4*d, 5*d - 25 = 0. Suppose -l = 2*j - 8, -5*l + 66 = j + k. Which is greater: 9 or l?
9
Let o be (-2)/(8 + (-14)/4). Let k = 0.3 + -1.3. Is o greater than k?
True
Let m(w) = -w - 1. Let x be m(-2). Let c be ((-24)/16)/((-3)/10) - 1. Suppose 5*y + g = -11, -g = 2*y + x + c. Which is smaller: -3 or y?
-3
Let f be 2*(-1)/(-6)*6. Suppose -q + 3*r - 5 = 0, f*r + 58 + 18 = -4*q. Let t = q + 4. Which is bigger: -14 or t?
t
Let s = 3915 + -8063/2. Let p(i) = 14*i**3 + 3*i**2 - 3*i + 1. Let l be p(2). Let r = s + l. Which is smaller: r or 3?
r
Let n(o) = -122*o**3 + 2*o**2 + 3*o + 2. Let v be n(-1). Is 123 at most as big as v?
True
Let i be (-1)/1 + 5/2. Let w = -11276 + 11277. Does w = i?
False
Let y = 418812/7 - 485402121/8113. Let p = y - 1/61. Is p >= -1?
True
Suppose 0 = 4*m - 11 - 53. Let c(z) be the second derivative of -z**3/6 + 9*z**2 - z. Let h be c(m). Which is smaller: 0 or h?
0
Let o be 8 + (6/(-9) - (-12)/18). Which is greater: o or 2?
o
Suppose 0 = 3*x - 5*w + 2, -11*w + 7*w = 5*x - 9. Which is bigger: -16/15 or x?
x
Let f = -3 - 2. Suppose 284 = 3*x - 2*d, -3*d - 305 = -4*x + 72. Let o = 93 - x. Is f bigger than o?
False
Let b = 27.09 + -26.8. Is -1/6 less than or equal to b?
True
Let d = 875 + -125. Let b = -53252/71 + d. Which is greater: b or 0?
0
Let n = 682 - 682.7015. Let t = 38.5085 - n. Let a = t + -39. Is 1/3 at most a?
False
Let y = 789 + -1102. Which is smaller: y or 2/5?
y
Suppose 4*l + 3*x - 63 = -0*x, 2*l - x - 29 = 0. Suppose 0*j - 15 = -l*j. Suppose f + u + 7 = -3*u, -3*u - 6 = 0. Does f = j?
True
Let r be ((-2)/(-10))/(-4*3/12). Which is smaller: 21 or r?
r
Let t = -5 + 3.68. Let l = t + -0.28. Which is smaller: -2 or l?
-2
Suppose 3*l = -l + 16. Suppose 0 = -8*g + 4*g. Suppose -4*y + l = 4*t - g*t, -2*y + 4*t = 4. Which is greater: -7/6 or y?
y
Let u = 0.198 + -4.408. Let d = u + 0.21. Suppose 3*p = -0*p. Does d = p?
False
Let u = 85/2128 + -3/112. Are u and 2 non-equal?
True
Suppose -o - o = 0. Let h = -5.09037 + 0.09037. Which is smaller: h or o?
h
Let a = -1388 - -49981/36. Which is bigger: -1 or a?
a
Let q = 19 + -176. Is -157 <= q?
True
Let f be (-6)/(-9) - 1/(-3). Let l(p) = p**2 - 2*p + 3. Let a(z) = -z**2 - 11*z + 2. Let o be a(-11). Let s be l(o). Is f <= s?
True
Let o = -201 - -125. Is -76 at least as big as o?
True
Let k(s) = -s**3 - 8*s**2 - s + 4. Let n be k(-8). Let q be (16/n)/((-2)/(-3)). Is q at least 8?
False
Suppose -1 = -5*h + 6*h. Let g = -16655/11 - -1513. Does g = h?
False
Let a = -26 + -123. Is 0.1 greater than or equal to a?
True
Let h(d) = -d**3 - 9*d**2 + 2*d + 10. Let g be (-303)/33 + 4/22. Let o be h(g). Is -4 bigger than o?
True
Let b = 111/4 - 1895/68. Suppose 5*c + 7 - 22 = 0. Let j = -3 + c. Which is smaller: j or b?
b
Let r = 7 - 5. Let i be 135/36 - 9*(-4)/(-12). Is r less than i?
False
Let g = 2018 - 1696. Is g smaller than -1/3?
False
Let c = -1009 - -967. Is -47 less than or equal to c?
True
Suppose 13*k + 42*k - 55 = 0. Let o = -0.12 - -0.02. Let r = -0.3 - o. Which is greater: r or k?
k
Let s = -1952/5 + 390. Suppose 0 = 3*w - 4*c - 16, 4*w + 4*c + 5 = -11. Let a(l) = l**3 - l**2 + l. Let d be a(w). Which is bigger: s or d?
d
Suppose 0 = 3*h + 2*h. Let f be 1 + -3 - (3 - 56/12). Is f smaller than h?
True
Suppose -2*c = -0*c - 5*c. Suppose 3*i - 10*i - 56 = c. Which is smaller: i or -2?
i
Let v = 308 + -311. Are v and 3.5 nonequal?
True
Let o(q) = -19*q**3 + q. Let s be o(-1). Let m(g) = -3*g**3 - 10*g**2 - 13*g + 11. Let w be m(-2). Which is greater: s or w?
w
Let y = -95 + 95. Suppose y = -4*c - 9 + 5. Which is bigger: 2/1 | {
"pile_set_name": "DM Mathematics"
} |
e fifth smallest value in -0.5, -2/3, 5, -2/115, 0.0398, 0.4, -3?
0.0398
What is the sixth biggest value in -3, -2/9, -4.054, 0.3, -0.3, 7?
-4.054
Which is the fourth smallest value? (a) -2888 (b) 2/23 (c) -4 (d) 0
b
What is the second biggest value in -80, 810/17, -0.2, 42, 0?
42
Which is the third biggest value? (a) -7 (b) -1 (c) -5210 (d) -299.2
d
Which is the third biggest value? (a) -21/29 (b) -11427 (c) 10
b
Which is the second biggest value? (a) 0.4 (b) -71 (c) -1.16 (d) -3.3
c
Which is the smallest value? (a) 2/7 (b) -17 (c) 0.2 (d) 1.3 (e) 5/78
b
Which is the second smallest value? (a) -4058/9 (b) 0.4 (c) -1.026
c
What is the sixth biggest value in 7, -0.4, -4, -14/47, 1.4, 0.5?
-4
What is the second smallest value in 119, -11903, -1, -4?
-4
What is the third biggest value in -3/4, 109850, -0.2, -8, -3, -1/2?
-1/2
What is the second biggest value in 5, -4, -3/5, -5, 2/15, 0.4, 456?
5
Which is the fifth smallest value? (a) 84 (b) 32 (c) -64/7 (d) -3/7 (e) 1/5
a
Which is the third smallest value? (a) 5 (b) 91/43 (c) -2 (d) 0.07 (e) 149
b
Which is the third smallest value? (a) 0 (b) 4.2 (c) -1.1 (d) 6050
b
Which is the third biggest value? (a) -0.1 (b) -29 (c) 12814
b
What is the second smallest value in -687000, -0.4, -3/5?
-3/5
Which is the biggest value? (a) -4 (b) -1/5 (c) 29874.1
c
What is the fourth smallest value in 4007385, 0.02, -14, -4?
4007385
What is the sixth biggest value in 5, 2, 6, -2/7, -5, 1, -4545?
-5
Which is the third biggest value? (a) 0.3 (b) -2/11 (c) -399601
c
Which is the second smallest value? (a) 2/7 (b) 4 (c) -0.033258219
a
What is the fourth smallest value in 1/4, -5, 343, 0.3, -0.6, -76, -2/19?
-2/19
What is the third biggest value in 2/11, -0.36, -0.0736, -1, 207?
-0.0736
What is the fourth biggest value in 6, 1/25896, 3.37, -5?
-5
What is the fourth smallest value in 4, 0, -27, 0.29?
4
What is the seventh smallest value in 77, 589, -3, -2/7, 0, 0.3, -4/3?
589
What is the seventh biggest value in -5, -0.4, -2, 5, 0.2, -14.1, -1/3?
-14.1
Which is the sixth smallest value? (a) 6 (b) -0.14 (c) 0.017 (d) -5 (e) -7 (f) 2 (g) 3
g
Which is the fourth biggest value? (a) -8 (b) 339 (c) 25 (d) 1 (e) 5/3
d
What is the biggest value in -266/3, -1/27, 47, 4?
47
Which is the second smallest value? (a) 0.5 (b) -0.3 (c) -736983
b
Which is the second biggest value? (a) -0.5 (b) 9/2144 (c) -2/13 (d) -21/13
c
What is the fourth biggest value in -759, -3, -0.07, -19, 0.3?
-19
Which is the third biggest value? (a) -151 (b) 11 (c) -21380 (d) 1
a
Which is the fifth biggest value? (a) 4 (b) -167 (c) -2 (d) -0.38 (e) 3 (f) -2/7
c
Which is the fourth smallest value? (a) -5 (b) -0.2 (c) -0.7 (d) 8/5 (e) 2365 (f) -1 (g) -3
c
Which is the fourth smallest value? (a) 1/13 (b) 1/4 (c) 2/13 (d) 5 (e) -6 (f) -2 (g) 4
c
What is the third smallest value in 101, 0.14, 2, -1/4, 0.2, -401, -1/5?
-1/5
Which is the third smallest value? (a) -2.37481 (b) 5 (c) -0.9 (d) 3
d
What is the fourth smallest value in 679359, 2/3, -0.5, -2/9?
679359
Which is the third biggest value? (a) 440 (b) -5 (c) -0.1 (d) -3/2 (e) -0.04 (f) -0.3
c
What is the second biggest value in -1/22, -2/5, -0.049, -34.8, 2?
-1/22
What is the fifth smallest value in -16, -3/2, 3.26, -4/5, 0.3?
3.26
What is the second smallest value in 7, 0.5, 0, -1/83, -175/8?
-1/83
Which is the biggest value? (a) -0.029 (b) -23/3 (c) -0.15 (d) -0.5 (e) -0.1 (f) -54
a
What is the second biggest value in 9/16, -95, -4, -7, 1/2?
1/2
Which is the smallest value? (a) 1/3 (b) -4/9471 (c) -60
c
What is the biggest value in 0.2, -1, 548, -1/932, 4?
548
What is the fourth biggest value in 31.82, -4, -1, -44, -7, 3?
-4
What is the second smallest value in 1, 5/2, -0.095, 3/5, 0.03, -2921?
-0.095
Which is the biggest value? (a) -1.3 (b) 1171 (c) 6 (d) -39
b
What is the second biggest value in -3, 2, -12/5, 9790, 0?
2
What is the third smallest value in -128, -3, 1.7, -1, -1/25?
-1
What is the second smallest value in 3/5, -0.41, -9332/9, -0.2?
-0.41
What is the third biggest value in -2, 4, 40/73, -528, -3, 2?
40/73
What is the smallest value in -4/5469, -4, 9, 1/9?
-4
Which is the fourth smallest value? (a) -13 (b) -5 (c) 0 (d) 6/223 (e) -1/7
c
Which is the second biggest value? (a) 0.05 (b) 24/101 (c) 296 (d) -0.5
b
Which is the second smallest value? (a) 1/4 (b) 2/4929 (c) 1237 (d) 2/15 (e) 0.3
d
Which is the third biggest value? (a) 6 (b) -1694 (c) 0.28
b
What is the biggest value in 0.431, 0, 2, 0.176?
2
Which is the fourth smallest value? (a) -63/5 (b) -4 (c) 2 (d) -1/3 (e) 7 (f) -1080
d
What is the third biggest value in 0.3, -802, -5/6?
-802
What is the second smallest value in 1, 4, -5, 173.1, -1/2, -0.1, 18?
-1/2
What is the seventh biggest value in 11, -1.2, 3/2, 2/11, -108, 0.5, 3?
-108
Which is the sixth biggest value? (a) 0.07 (b) -4 (c) -0.05 (d) 12 (e) 85 (f) -1
b
What is the biggest value in -993, 421.4, -5?
421.4
Which is the second smallest value? (a) -1 (b) 4 (c) -5 (d) -551649
c
What is the second smallest value in -1191, 5, 0, 4, 0.4, -1, -7/2?
-7/2
What is the biggest value in -1, -0.09, -2/1391, 1/3, -2/541, -2?
1/3
Which is the fifth smallest value? (a) 3 (b) 2/3 (c) 4 (d) 2/945 (e) -161751
c
Which is the third smallest value? (a) -1/101 (b) -2.2 (c) 4.594
c
Which is the third smallest value? (a) 35/47 (b) 70 (c) 0.5 (d) 0.06 (e) 3
a
Which is the second smallest value? (a) 1/1393 (b) -30/11 (c) -11/3
b
What is the second biggest value in 59/74, -0.969, -0.3?
-0.3
Which is the fifth biggest value? (a) 1 (b) 4 (c) 3.6 (d) -4/5 (e) -25 (f) -143
e
What is the smallest value in -19, 0.5, 11, -4, -272/5, 2/7?
-272/5
Which is the biggest value? (a) 0.05 (b) -0.2 (c) 3 (d) -94441
c
Which is the third biggest value? (a) 19 (b) -29 (c) 0.88 (d) 4 (e) 39
d
What is the sixth smallest value in 389/2, 0, -1/6, 7/2, 0.4, -67, -3/5?
7/2
Which is the fourth biggest value? (a) 3 (b) -4 (c) 10 (d) -5 (e) 1/3 (f) 2/5 (g) -3.9
e
What is the third smallest value in 1/4, 5/2, -0.4, 1, 2936896?
1
What is the sixth biggest value in -3/4, -0.2, -1, 0.4, 0.6, -24.105?
-24.105
What is the third biggest value in 1/2, -1/9, 25067, -5, 0, 5, -3/2?
1/2
Which is the sixth smallest value? (a) -0.1 (b) -2/13 (c) 179 (d) -5 (e) 2221 (f) 42/5
e
Which is the fourth smallest value? (a) -12 (b) 27 (c) 39 (d) 2 (e) 3/8 (f) -56
d
What is the sixth biggest value in 2/171, -8, 1/7, -2, -2/3, -5?
-8
Which is the fifth biggest value? (a) -0.062235 (b) 2 (c) 29/3 (d) 3 (e) 0.2
a
Which is the second biggest value? (a) 1 (b) -3 (c) 2/93 (d) 1/4 (e) 0 (f) -154 (g) -59
d
What is the fifth biggest value in -1/3, -3/4, 1/5, -4, 0.6, 221562?
-3/4
Which is the second biggest value? (a) -1 (b) -72/71 (c) 6 (d) 5/6 (e) -8 (f) 11
c
What is the fourth smallest value in 0.343, -1/4, 22, -63?
22
What is the fifth smallest value in -4, 2/33, -3, -1, 53, 286.4?
53
What is the sixth biggest value in 0.3, 1/2, -7, -5, -0.1, 1, 131?
-5
Which is the fourth biggest value? (a) -409 (b) -1/6 (c) -5 (d) 748 (e) 4/3
c
What is the third biggest value in -0.4, -4, -24250, -171?
-171
Which is the smallest value? (a) -25 (b) -1 (c) -0.1 (d) -1/4 (e) 2/913 (f) -2/11
a
What is the third smallest value in 5, 1504/577, -34?
5
What is the sixth biggest value in 4, 3/8, -77, 11, -40, 2?
-77
What is the second biggest value in 4, -5, 1, 68, 5421/2, 2?
68
What is the biggest value in 16/3, 5/6, 103046?
103046
Which is the second biggest value? (a) 4 (b) -3/7 (c) -713/219
b
What is the fourth smallest value in -4/154979, 5/2, -2/3, 0.2, -0.129?
0.2
Which is the third biggest value? (a) -0.1 (b) -0.3 (c) -379 (d) -342
d
Which is the sixth smallest value? (a) 0.2 (b) 5/4 (c) 3/7 (d) -2/19 (e) -49/2 (f) -5 (g) 2
b
Which is the smallest value? (a) 0.62 (b) 749 (c) -4 (d) 0.4 (e) 2/37
c
Which is the third biggest value? (a) 3318 (b) -8 (c) -8842
c
What is the second biggest value in 35, 3/83, -202?
3/83
Which is the second biggest value? (a) 162 (b) -0.2 (c) -80 (d) 1.21
d
Which is the third biggest value? (a) 0.5 | {
"pile_set_name": "DM Mathematics"
} |
*18903.19.
283547.85
Calculate 2679*83.99.
225009.21
-5.463*19.46
-106.30998
What is -8030699 times 1?
-8030699
Product of -0.739 and 0.01541.
-0.01138799
9.49832 * 1.4
13.297648
Multiply -1.14 and 16307.
-18589.98
What is -622 times 15273?
-9499806
61900 times -0.962
-59547.8
What is the product of -449211344 and 2?
-898422688
-380.76*-0.0261
9.937836
What is the product of -30 and -24794.31?
743829.3
What is -16 times 90522?
-1448352
24*-1992.219
-47813.256
Calculate -4706.26*0.3.
-1411.878
Work out 0.5 * -13629613.
-6814806.5
635008838*-0.2
-127001767.6
What is -0.352 times 14671?
-5164.192
What is -160 times -355579?
56892640
-4 times 22632.16
-90528.64
Work out 20555.56 * -0.274.
-5632.22344
Product of 4 and 229410005.
917640020
12663.821 times -0.3
-3799.1463
Work out 10.381271 * -0.5.
-5.1906355
Product of -37 and 49521.28.
-1832287.36
-12.50482 times -0.6
7.502892
What is the product of -0.03725 and 1478?
-55.0555
What is the product of 0.4 and -1.0300183?
-0.41200732
Product of -86031 and 104.
-8947224
Multiply 21 and 190.33341.
3997.00161
Calculate 0.1*-4.4774726.
-0.44774726
10985625*5
54928125
-1.345 * 41638
-56003.11
Multiply 0.21 and 23508.88.
4936.8648
What is -245717846 times 0.1?
-24571784.6
Product of 289620 and 1800.
521316000
Work out 201.294 * 233.
46901.502
Multiply -0.1 and 1205281.
-120528.1
Work out -25 * -8184654.
204616350
522297092 * -1
-522297092
What is the product of -6563 and -0.117?
767.871
Work out -0.0168 * -978.28.
16.435104
Product of -3346 and -22.477.
75208.042
-0.18438782 * 0.2
-0.036877564
What is the product of 10746 and 1.1?
11820.6
Work out 0.5 * -0.0388992.
-0.0194496
What is 105.4 times 154470?
16281138
Work out -861547 * 18.
-15507846
856578*-10
-8565780
-0.11 * 63429939
-6977293.29
Multiply -1582308 and -0.088.
139243.104
-353507109 * -3
1060521327
Work out 7.2332877 * 5.
36.1664385
Calculate -0.5*-25516522.
12758261
-0.863*1965.3
-1696.0539
Work out -5.516963 * -0.04.
0.22067852
2880*-0.00757
-21.8016
77497584 times 1.5
116246376
-0.3 * 44646169
-13393850.7
Product of 0.09124 and -2527.
-230.56348
What is 316127 times -0.096?
-30348.192
-279310046*0.2
-55862009.2
Work out -53.521873 * 0.1.
-5.3521873
Multiply 8.6 and -259817.
-2234426.2
What is the product of -2.4 and 123217?
-295720.8
Product of -0.059 and -5648.
333.232
Work out 0.03 * 31161964.
934858.92
Product of -7381.47 and 172.
-1269612.84
Multiply -4 and -17.993652.
71.974608
What is -41 times 41485?
-1700885
Calculate -1*-20347640.
20347640
What is the product of -0.22743545 and 1.3?
-0.295666085
Work out -0.05 * 0.2683373.
-0.013416865
What is -6 times 15.695515?
-94.17309
Calculate 52156748*-0.3.
-15647024.4
Product of -0.5 and 4084320.
-2042160
Work out -1302.2 * -15938.
20754463.6
11433 * 2068
23643444
What is 0 times 2.40540862?
0
Calculate 1*23147.7.
23147.7
10351550 times -0.35
-3623042.5
346972191*-0.2
-69394438.2
Product of -31 and 287347.
-8907757
Multiply -0.2 and 4068.308.
-813.6616
4446 * 4.1
18228.6
-3 times -11.64835
34.94505
What is the product of -1594 and 15097?
-24064618
-0.45*-2241456
1008655.2
What is -3244 times -19.38?
62868.72
-84 * 1.2454
-104.6136
Work out 25833.95 * -25.
-645848.75
Multiply -0.5 and -0.8523271.
0.42616355
What is the product of -0.0664404 and 1?
-0.0664404
Work out -8 * -39055580.
312444640
Calculate 1094361*0.47.
514349.67
What is 91.5 times 1342.73?
122859.795
Calculate 1817*-5469.
-9937173
Work out 180244.4781 * -5.
-901222.3905
What is 0 times -19853977?
0
Work out -25062 * -53.
1328286
What is 0.3 times 230990?
69297
Product of 1.1 and -54067995.
-59474794.5
0.0339*-6.1342
-0.20794938
Work out 3 * -7343256.
-22029768
-5 * -0.8656194
4.328097
Calculate 3*-0.05478364.
-0.16435092
-0.05153 * 465
-23.96145
Work out -31634.5 * 424.
-13413028
0.293*0.21295
0.06239435
What is -302.684 times -1032?
312369.888
Work out -0.0378 * 209212.
-7908.2136
8 * -3360427
-26883416
What is 0.3 times 75640693?
22692207.9
-15478 times -1559
24130202
-0.04 * -626600
25064
-7*349411
-2445877
112*0.70536
79.00032
What is the product of 0.0583837 and -1.06?
-0.061886722
-39660413*-0.4
15864165.2
-127 * 1.23507
-156.85389
5817611*2
11635222
3988 times -0.01
-39.88
551 * -135344
-74574544
1 * -3991771
-3991771
970 times -1183604
-1148095880
Calculate -4.214136*0.2.
-0.8428272
-1.6 * -6214382
9943011.2
What is -4 times -8.264755?
33.05902
Multiply 1393 and 34.142.
47559.806
-287*-3.511
1007.657
Multiply 500.418 and -13.
-6505.434
Multiply 32.282 and -0.005.
-0.16141
Work out 112.05 * 110033.
12329197.65
What is -11.38 times 13418?
-152696.84
Multiply 0.3 and -42418899.
-12725669.7
What is the product of 7 and -0.2967201?
-2.0770407
What is the product of 5.81 and -0.07242?
-0.4207602
Calculate 203716*-39.
-7944924
Calculate -22102*20.
-442040
What is -5.60683 times -0.99?
5.5507617
Multiply -0.28 and -1834289.
513600.92
0.598 * -73224
-43787.952
103 times 287409
29603127
Work out -255830 * 0.1.
-25583
Product of 0.022333886 and -2.
-0.044667772
Calculate -286989*0.12.
-34438.68
0.5 * -1789416
-894708
Product of 2 and -2434.69118.
-4869.38236
1065 * -1.289
-1372.785
130 times -42800
-5564000
Calculate 0.028391767*2.
0.056783534
Multiply -0.036 and -1530.97.
55.11492
0.584246 times 1.644
0.960500424
Product of 44185 and 0.1.
4418.5
Work out -228864849 * 0.3.
-68659454.7
What is the product of -0.073372 and 0.199?
-0.014601028
0.04123176 times -0.2
-0.008246352
13834 * -27
-373518
-1420 * -0.1779
252.618
What is the product of -1.8833 and 79.12?
-149.006696
Work out 278.1458 * 0.229.
63.6953882
Multiply 0.5 and -50803.44.
-25401.72
Work out 0.1059575 * -1.
-0.1059575
128.6 * 0.03642
4.683612
Multiply -0.2 and 52642.32.
-10528.464
Multiply 14.1 and 1009581.
14235092.1
-2.64 times -2193.8
5791.632
0 times -0.2102307
0
Multiply -2.012272 and 0.52.
-1.04638144
0.07 * 2174.504
152.21528
Work out 372542.5 * -12.
-4470510
Work out 2 * -354918.
-709836
Product of 0.3 and 2284896.
685468.8
Work out -0.03 * -119.0401.
3.571203
What is the product of 3.3 and 1242106?
4098949.8
0.129091 times 4.37
0.56412767
-893.07 times 0.4
-357.228
-0.02532885 * -1.1
0.027861735
-21222418 * 4
-84889672
What is 183711 times -0.72?
-132271.92
13876332*0.2
2775266.4
0*-2028187
0
Multiply 0.1 and -697.21949.
-69.721949
What is 1.7343 times 540.6?
937.56258
What is 8 times -2370.2541?
-18962.0328
What is 0.3208035 times 0.5?
0.16040175
Work out 255.5 * -0.381.
-97.3455
Product of 264825 and 2.46.
651469.5
Work out -286411 * -0.7.
200487.7
What is the product of -1 and -69.096618?
69.096618
Calculate 0.08*-553.809.
-44.30472
-0.4*-626279
250511.6
Calculate 10*-14083272.
-140832720
17555*2882
50593510
Product of -0.00092 and 1080.
-0.9936
Work out -0.6 * -3796065.
2277639
Work out 0.1 * 10036455.
1003645.5
Multiply -2 and -7788.931.
15577.862
Product of 0.1 and 15393757.
1539375.7
What is 1661 times -436255?
-724619555
Work out 30.2 * -1.843868.
-55.6848136
Calculate 1148*891.
1022868
What is the product of -2473 and 314.674?
-778188.802
What is the product of 23 and 1603472?
36879856
-71354.9 times 50
-3567745
3253*2.8195
9171.8335
Product of 0.1 and -91232.2.
-9123.22
Work out 8684 * -117.6.
-1021238.4
Calculate 47.1*31825.3.
1498971.63
Calculate -5.5163465*-0.2.
1.1032693
What is 0.038627 times -437?
-16.879999
Work out -102584 * -261.
26774424
What is the product of 0.3 and 3475783?
1042734.9
-835 * 114242
-95392070
147500468 times -0.5
-73750234
Work out -8.76 * 187.876.
-1645.79376
Calculate -0.07*-5555.5719.
388.890033
What is -1.43 times -0.0227067?
0.032470581
What is 0.82792 times 108?
89.41536
-8 times -2411802
19294416
Multiply -214 and 0.60955.
-130.4437
Multiply -95 and -173353.9.
16468620.5
Multiply 79560947 and -1.
-79560947
What is 1.0986 times -0.524?
-0.5756664
Calculate -1972.78316*0.1.
-197.278316
6481 * 0.55298
3583.86338
What is 6.6448 times 96?
637.9008
Work out -15493.89 * -3.05.
47256.3645
Work out -5 * 40521835.
-202609175
What is the product of 12 and 861057.6?
10332691.2
Calculate -84036*-742.
62354712
139561*50.1
6992006.1
What is the product of -0.099 and 86.9?
-8.6031
Product of 0.4 and 2.504264.
1.0017056
Product of 591589.8 and -0.09.
-53243.082
Multiply 8197624 and -0.6.
-4918574.4
-1807880 times -134
242255920
W | {
"pile_set_name": "DM Mathematics"
} |
o*o**35*o)/o) assuming o is positive.
o**(-87)
Simplify h/(h/((h*h**(5/2)*h*h)/h*h))*h/h**(-7/6)*h*h*h*h*(h**(-1/18)*h)/(h*(h/(h/(h*h/h**(2/21)*h)*h))/h) assuming h is positive.
h**(1349/126)
Simplify (z*z**(-10)/z)**(10/11)*((z*z/(z*z/(((z*z**(-7)/z)/z)/z)))/z*z)**8 assuming z is positive.
z**(-892/11)
Simplify ((((r/r**(4/7))/r)/r*r)/r)**(2/65)*(r**(1/4))**(1/33) assuming r is positive.
r**(-2449/60060)
Simplify ((c/c**3)/c*c*c**14)/(c**(-19/3)*c*c**(-2/31)/c*c) assuming c is positive.
c**(1618/93)
Simplify ((s/(s/(s**(1/2)*s)))/s)**(-19)/(s**(-1))**(-1) assuming s is positive.
s**(-21/2)
Simplify (n**(-1/5)*(n/n**(-5)*n)/n)/((n*n/((((n**(-1)*n)/n)/n)/n))/((n*(n**11*n*n)/n)/n)) assuming n is positive.
n**(64/5)
Simplify l**(-6)*l*l**(2/13)*l**(2/15)/(l**(-8)/l*l) assuming l is positive.
l**(641/195)
Simplify (a**4/a)**(23/4)/((a**(-11)*a)/(a**2/a)) assuming a is positive.
a**(113/4)
Simplify (l**0)**(35/6)*(l/(l/l**(-3/7)*l*l))/(l*l**10/l) assuming l is positive.
l**(-87/7)
Simplify (g**(25/6)/g)/(g/(((g/g**36)/g*g*g)/g*g))*g**3/((g/g**(1/5))/g) assuming g is positive.
g**(-859/30)
Simplify (v**21/(v*v*v**18*v*v))/((v/(v**(-13)*v))/(v/(v*v/(v*(v*(v*v*v**(1/8)*v)/v)/v)))) assuming v is positive.
v**(-95/8)
Simplify w**(-8/5)/w**(-7)*w**(-4)*w*w**8 assuming w is positive.
w**(52/5)
Simplify ((n*n**11*n)/(n/n**(2/15)))/(((n*n/((n**(-3/4)*n)/n*n)*n)/n)/(n/(n*n**(-4)*n*n)*n)) assuming n is positive.
n**(803/60)
Simplify r**(-5)*(r*r*(r/(r/(r/(r*r**(-4)*r)*r)))/r*r*r*r*r)/r*r*(r**3*r)**50 assuming r is positive.
r**204
Simplify (x**(1/6))**(-39)*(x*x**13*x)/x*x**(-12)*x assuming x is positive.
x**(-7/2)
Simplify ((d**(-2/5)/d**(-1/3))/(d**(-1/2))**(-25))**(-41) assuming d is positive.
d**(15457/30)
Simplify ((n*n**(-4)*n**2/n)/(n**2/n*n*n*n/n**(2/7)))**47 assuming n is positive.
n**(-1880/7)
Simplify ((z/(z*z*z/((z/(z/(z*z/z**(7/2))))/z)))**(2/11))**(-21) assuming z is positive.
z**(189/11)
Simplify ((s/((s*(s*s**(1/2)/s)/s*s)/s)*s*s)/(s*s/((s**(6/11)/s)/s)*s)*(s*s/s**(-1/2)*s)/(s*s/s**(1/3)))**(-39) assuming s is positive.
s**(52/11)
Simplify (((o**(-3))**(-10))**(1/12))**(2/7) assuming o is positive.
o**(5/7)
Simplify (b**(-6/13)*b*b/(b/b**(-1)*b))**31 assuming b is positive.
b**(-589/13)
Simplify (((a/(a**(2/5)/a))**(-13/2))**45)**45 assuming a is positive.
a**(-21060)
Simplify (((i*i/(i*(i**(-8)/i)/i))/i**(-3/2))/((i*i**(-2))/i)**(-42))**(-18) assuming i is positive.
i**1287
Simplify r*r**0*r*r**0*(r**(-1/4))**(-22) assuming r is positive.
r**(15/2)
Simplify (y**12)**(47/3)*((((y/(y/(y**(-2/7)*y)))/y)/y)/y)/(y*y**(-16)) assuming y is positive.
y**(1405/7)
Simplify (((g/g**4*g)/g*g)/g*g)**(-15)/(g*g*g**(-2)*g*g)**(-30) assuming g is positive.
g**90
Simplify (h**20*(h/(h/h**(-1)*h*h))/h)**20 assuming h is positive.
h**320
Simplify ((d**2*d)/d)/d**6*(d**(-2/13))**4 assuming d is positive.
d**(-60/13)
Simplify ((r/(r/(r**(3/10)*r)*r)*r)/(r/(((r/((r/r**(1/10)*r)/r))/r)/r)*r*r*r))**(-2/59) assuming r is positive.
r**(46/295)
Simplify ((n*n*(n*n*n/(n/n**(-2)))/n)/n)**(1/42)/((((n/n**(-5))/n)/n)/n**5) assuming n is positive.
n
Simplify ((j**(-1/2)/j)/j**(16/7))/((j/j**1*j)/j**(5/2)) assuming j is positive.
j**(-16/7)
Simplify (((b/(b*(b**(-1/2)/b)/b))/((b*b*b*b**(-3)/b)/b))/((b/((b/(b/(b*b*b/(b*(b/(b**(1/11)/b)*b)/b*b))))/b))/b**1))**(-2/119) assuming b is positive.
b**(-57/1309)
Simplify (((s**(-4)/s)/s*s*s**(-6)*s)/(s**(-3/5)*((s*(s*s/(s**(3/4)/s))/s)/s)/s))**(1/13) assuming s is positive.
s**(-193/260)
Simplify (d**5/(d*d*d**(-7))*(d*d**7)/d*d/(d/d**(-1/6)))**(-39) assuming d is positive.
d**(-1313/2)
Simplify (h/(h*((h/(h/h**(-3/14))*h)/h)/h)*h/h**(2/11)*h)/(h**(8/11)/(h/h**(-38/7)*h*h)) assuming h is positive.
h**(1653/154)
Simplify ((o/o**(1/3))**(-34)*(o*o**0)**(-43))**(-14/11) assuming o is positive.
o**(2758/33)
Simplify ((o**0*o)/o**(-10))/(o/o**5)**(-2/37) assuming o is positive.
o**(399/37)
Simplify ((g/(g*g**1)*g)/(g/g**(-17)))/(g**22/g**(-21/2)) assuming g is positive.
g**(-101/2)
Simplify (t/t**(-7))/t*t*t**(-2/19)*(t/t**(-2/19))/(t/(t*t/(t*t**(3/8)/t))) assuming t is positive.
t**(77/8)
Simplify m**(-9)/((m/m**14*m)/m*m)*m**(29/2)*m/m**13 assuming m is positive.
m**(11/2)
Simplify ((v*v**23)**(-40))**35 assuming v is positive.
v**(-33600)
Simplify (i**9/i**(-6)*i**(-5/7)*(i*i**(3/4))/i*i)**(-50) assuming i is positive.
i**(-11225/14)
Simplify (d**(-15/2))**(-10/13)/(d**(-1/11))**10 assuming d is positive.
d**(955/143)
Simplify ((c**(-2/3))**(-5/2)*((c/(c/((c*c/(c/(c**(-7)/c))*c)/c)))/c)/(c*c**2))**23 assuming c is positive.
c**(-644/3)
Simplify ((w**4/w**(-2/7))/(((w*w**(-1))/w)/w*w)**(-7/4))**(2/7) assuming w is positive.
w**(71/98)
Simplify (j**(2/27))**(-6/11)*j**(-3)/j**15 assuming j is positive.
j**(-1786/99)
Simplify (w**12*w*w*w/w**2)/(w**(-2/7)/w*w*w)**(-15/2) assuming w is positive.
w**(257/14)
Simplify (y**(2/7)/((y*y*(y/(y/(y/y**(5/4))))/y)/y))/(y/y**(-4))**33 assuming y is positive.
y**(-4605/28)
Simplify ((r**(-2/3))**(-5)*(r*r**7)/(r/(r/(r**(-4)/r)*r*r)))**13 assuming r is positive.
r**(715/3)
Simplify (((i**(2/13)*i)/i*i**(-1))/(i*i**(7/2)*i/i**(-5/8)))**(9/7) assuming i is positive.
i**(-6525/728)
Simplify (c*c/(c**(2/13)/c*c))**(-16/7)/(c**(1/4))**(5/2) assuming c is positive.
c**(-3527/728)
Simplify (o/(o**(-15)/o)*o*o*o/(((o*o/(o*o/o**(-10)))/o*o*o)/o))/(o/o**(-2/3))**(-2/23) assuming o is positive.
o**(2080/69)
Simplify (a*a**(1/6)/a*a)/((a*a**(2/19))/a)*(a/a**(-26))/(a/a**(-2/5)) assuming a is positive.
a**(15197/570)
Simplify ((z/(z/(z*z*z**(-2/5)*z)))/z)**(-2/83)*((z*z**(-24))/z)**41 assuming z is positive.
z**(-408376/415)
Simplify (o**(-3/20)*o*o**1/o)/(o**(-14))**(-28) assuming o is positive.
o**(-7823/20)
Simplify (s*(s/s**(-14)*s)/s*s**(18/13))**(-9) assuming s is positive.
s**(-2034/13)
Simplify (a**(-1)*a)**(-49)/(a**3*(a*(a/((a**(-7)*a)/a*a*a)*a)/a)/a) assuming a is positive.
a**(-9)
Simplify (y/y**(3/5)*y*y)**(-22)/(y**14/y**(-2/7)) assuming y is positive.
y**(-2348/35)
Simplify ((w/(w/(w/w**(1/2))))/w)**(-12)*w/w**0*w**(-17/2) assuming w is positive.
w**(-3/2)
Simplify (t**1)**(-8/3)/(t/(t*t**1*t)*t)**(-2/43) assuming t is positive.
t**(-350/129)
Simplify (k*k*k*k*k**(-12))/(((k**(1/11)/k)/k*k*k)/k*k)*(k*k*k**11)/k**4 assuming k is positive.
k**(10/11)
Simplify (x**6)**(-46)*(x**1*x)/x**(-13) assuming x is positive.
x**(-261)
Simplify ((z**(1/4)*z*z**(3/2))/(z*z*z*(z**(2/7)/z*z)/z*(z/z**1)/z*z))**28 assuming z is positive.
z**13
Simplify i**(-11)/(i*i**(2/29))*(((i*i/i**(-7))/i)/i)**(2/7) assuming i is positive.
i**(-292/29)
Simplify (((a*a*a*a*a**(-1)*a)**44)**(-26))**(2/147) assuming a is positive.
a**(-9152/147)
Simplify (v**(-9)/v*v/(v/v**(-2/37)))/(v**(-26/3))**(2/47) assuming v is positive.
v**(-50528/5217)
Simplify u/u**(-3)*u*u**(4/3)*u**(-4/9)*u**(-6)*u assuming u is positive.
u**(8/9)
Simplify (j*j*j*j**8*j)/(j*j*j**12)*j**(-4/5)*j*j**(-14) assuming j is positive.
j**(-79/5)
Simplify (z/((z**(-4/5)*z)/z))**36*(z**(2/9))**(-1/4) assuming z is positive.
z**(5827/90)
Simplify (o**33/(o*o/o**(2/3)))/((o*o**4)/(o**(2/27)/o)) assuming o is positive.
o**(695/27)
Simplify (u*u**(-3)*u*u*u)**14*(u/(u*u*u**(2/29)*u*u))/(u/u**5*u) assuming u is positive.
u**(404/29)
Simplify ((k/(k**6/k))/k*k*k**17)/((k**(-2)*k)/(((k/((k**17*k)/k))/k)/k)) assuming k is positive.
k**(-4)
Simplify (f/f**(1/15))**33*(f**(-1/3)/f*f)/(f**(-2/29)*f) assuming f is positive.
f**(12848/435)
Simplify (((y**1*y)/(y**(-5/4)*y))**(-19/3))**(-39) assuming y is positive.
y**(2223/4)
Simplify u*u**(-22)*u*u/u**3*u**1*u**(-15/4) assuming u is positive.
u**(-99/4)
Simplify ((p**(2/3)/(p**(2/7)/p))**(-2/67))**49 assuming p is positive.
p**(-406/201)
Simplify (c**(-2)*c*c)**(-5/9)/((c/c**(3/16))/c*c/(c**(2/13)*c)) assuming c is positive.
c**(71/208)
Simplify (q**(-10)/q**(-15/2))/((q*q**(-23)/q)/q**(6/5)) assuming q is positive.
q**(217/10)
Simplify (n**15*n*n**(19/5))**(-16/9) assuming n is positive.
n**(-176/5)
Simplify i**19*i**20*i*i*i/(i/(i/(i*i**15)))*i/i**(-3/44) assuming i is positive.
i**(1191/44)
Simplify j**(5/3)/(j**(-11/2)/j)*(j*j**10/j)**(-3/10) assuming j is positive.
j**(31/6)
Simplify ((m/m**(-8/3))/m*m*m**(5/2))/(m**(-11)*(m**(-3/8)*m)/m*m) assuming m is positive.
m**(397/24)
Simplify (k/k**(1/8)*k/(k*k**(-4)))/((k*k* | {
"pile_set_name": "DM Mathematics"
} |
= -3.8 - 1.2. Let z = -0.88 + 1.38. What is the biggest value in z, -1/3, b?
z
Let q be (6/10)/(6/(-15)). Let w = 15.3 - 11.3. What is the second biggest value in q, w, 1/5?
1/5
Suppose 9 = 4*f + 5*m - 6, 3*f + m = 14. Let q = -6 - -4. Let l = -0.03 + 4.03. Which is the biggest value? (a) f (b) l (c) q
a
Let p = 3.1 + -3. Let a = p + 1.9. Let n = 2 - 2. What is the third biggest value in -5, a, n?
-5
Let s = -5/62 - -169/558. What is the third biggest value in s, 0.2, 0.3?
0.2
Let q be ((-20)/175)/(4/(-10)). Which is the third biggest value? (a) -2/11 (b) q (c) 1/4
a
Let g = -30 - -26. What is the fourth smallest value in -2/17, 2/9, 0.3, g?
0.3
Let t be 318/(-120) + 2 + 2/5. Let k be ((-1)/(-1))/((-51)/6). Which is the second smallest value? (a) t (b) k (c) -0.6
a
Let h = 0.039 - 1.339. Which is the second smallest value? (a) -4 (b) 2/13 (c) h
c
Let o = -44 + 44.2. What is the smallest value in o, -2/9, 3?
-2/9
Let d = -3.007 - -0.017. Let j = 0.2 - 0.21. Let f = d + j. Which is the smallest value? (a) -0.1 (b) f (c) -1
b
Let v(w) = -w - 7. Let y be v(-6). Which is the biggest value? (a) -5 (b) y (c) -1/2 (d) 1/6
d
Let k(s) = s**2 + 26*s - 3. Let m be k(-26). What is the fourth biggest value in -1, m, 5, 1/2?
m
Let f = 0.5 + 0.2. Let s = -2.2 + 2. Let g = s + f. Which is the third biggest value? (a) 0 (b) g (c) 1/3
a
Let x = 1.4 + -0.4. Let u = x - -4. Let y = 59/21 - 22/7. What is the smallest value in 0.5, u, y?
y
Suppose -q = 3*i, 0 = 2*i - i + q + 2. Let x be 2*i/2 + 4. Which is the biggest value? (a) 1 (b) x (c) 2
b
Let y = -6 - -3. Suppose 4*x - 4*n + 28 = 0, -x - 3 = 2*x + 3*n. What is the second smallest value in 4, y, x?
y
Let f = -3.5 + 0.5. Which is the third smallest value? (a) f (b) 4 (c) -2/7
b
Let f be (12/(-3))/(0 - -3). What is the second smallest value in -1/9, -0.1, f?
-1/9
Let p = 7 - 7. Let u be ((-21)/18)/(-7) - 0. Which is the smallest value? (a) u (b) p (c) -1/5
c
Let f = -2/189 - -8/27. What is the second biggest value in f, -3/4, 0.2?
0.2
Let v = 0.01 + -0.21. Let x = 21 + -20. Let m = -3 + 8. Which is the biggest value? (a) v (b) x (c) m
c
Let z = 146 - 141. Let i = 1 - 0. Which is the third smallest value? (a) i (b) z (c) 2/9
b
Let t = -6 - -9. Let y = -76 - -72.95. Let u = y - -0.05. Which is the third biggest value? (a) u (b) t (c) 4/5
a
Let t = -16.3 + 17. What is the second smallest value in 2, 2/11, t?
t
Let d(r) = -r**2 - r + 3. Let o = -5 + 2. Let v be d(o). Let l = 8 + v. Which is the biggest value? (a) l (b) -5 (c) 4
a
Let t = -6.86 - 0.14. Let u = t - -3. What is the third smallest value in u, -0.06, -0.4?
-0.06
Suppose -y + 4 - 6 = 0. Let m be 3*9/(-81) + (-5)/(-3). What is the third smallest value in 3, y, m?
3
Let m = 43 - 28. Let f = -8.3 + m. Let l = -7 + f. Which is the second smallest value? (a) l (b) -2/21 (c) 3
b
Let n = 6.4 - 6. Let h = 37/36 + -5/4. Which is the third smallest value? (a) n (b) -0.3 (c) h
a
Let y = 0.4 - -1.6. Suppose -3*o + 9 = 0, 28 - 4 = 3*g + 4*o. Suppose 2 = -g*t + 14. Which is the second smallest value? (a) t (b) 0.3 (c) y
c
Let u be (-2)/14 + (-12)/308. What is the second biggest value in u, -2, -3?
-2
Let k = 9.9 - 9. Let g = -0.23 + -0.77. Let r = k + g. Which is the second biggest value? (a) 0.1 (b) r (c) -2/3
b
Let w(k) = k + 13. Let h be (-3 + 36)*2/(-6). Let d be w(h). Suppose 3 = -4*j - 1. Which is the second smallest value? (a) j (b) 0.2 (c) d
b
Let p = 1/12 + 1/4. Let d be (-1 - 0) + 1 + -2. Let n be (1/(-16))/(d/(-4)). Which is the third smallest value? (a) n (b) p (c) 3/5
c
Let w be (-5)/4*(-2)/(-10). Let r = -0.42 + 0.02. Let t = 3 - 2.5. What is the third smallest value in t, w, r?
t
Let v = -15 + 14.9. Which is the second smallest value? (a) v (b) -2/13 (c) 0
a
Let m = 43 + -28. Let c be (-2)/(-5) - 3/m. Suppose 4*o - 8 = -2*g + 8*o, -20 = 4*g + o. What is the smallest value in c, g, -4/5?
g
Let x = -11/78 - -85/234. Let n = 71 - 215/3. What is the second smallest value in n, -1, x?
n
Let l = -0.02 - -0.05. Let k = l - 0.09. Let a = k + -1.94. What is the third smallest value in -2/5, -2/7, a?
-2/7
Let p = -27 + 27.1. Let m = -4 - 0. Which is the third smallest value? (a) p (b) m (c) 4
c
Let y = 4/5 + -46/45. Let r = 5 + -5.1. Let k = r + -0.2. What is the second smallest value in y, 4, k?
y
Let x be (-6)/(-10) + (-153)/105. Let f be 66/63 - 6/(-21). Which is the third biggest value? (a) f (b) x (c) -5
c
Let y = 0.3 - 0.8. Let g(j) = j**3 - 2*j**2 + 3*j - 1. Let r be g(2). Which is the smallest value? (a) r (b) 3 (c) y
c
Let f = -11/10 - -9/10. Let k = 33 - 37. Let q = 4.4 + -4. Which is the third biggest value? (a) f (b) q (c) k
c
Let k = 0.2 - 0.3. Let a = -142 - -212. Let z = a + -632/9. What is the biggest value in k, -2, z?
k
Let m be (-6)/(-20)*20/(-8). What is the biggest value in m, -0.7, 2/15?
2/15
Let q = 13 - 10. What is the second biggest value in q, -0.5, 1/2?
1/2
Let u = -0.1 - 2.9. Let g = u - -4. What is the second smallest value in 5, 3/4, g?
g
Let s = -212/3 - -70. Which is the fourth smallest value? (a) 4 (b) 0.1 (c) -1/3 (d) s
a
Let q = -1 + 6. Let y = -12 - -13. What is the second smallest value in -0.04, y, q?
y
Let g = -0.017 - 0.193. Let v = g - -0.51. Which is the third biggest value? (a) -0.5 (b) v (c) -1
c
Let h = 6.2 - 6. What is the third smallest value in 3, h, 0.05?
3
Let s = 555/99814 + 1/698. Let w = -291/715 + s. Let q = -3 + 7. What is the third smallest value in w, -2, q?
q
Let i = -10 + 10.1. Let n = -0.5 + -1.5. What is the third smallest value in i, n, -3/2?
i
Let p = 3.9141 - -0.0559. Let s = p - -0.03. Let i = 1.3 + -6.3. What is the second smallest value in i, s, -2?
-2
Let h be -4 + 8 + (-17)/4. Which is the biggest value? (a) h (b) -4/7 (c) -4
a
Suppose 4*i - i + 5 = 4*h, -5 = -3*i + 2*h. Suppose m = i*m - 8. Which is the second smallest value? (a) 4 (b) m (c) -0.4
b
Let t = 1.14 + -0.04. Let p = 2.9 + t. What is the second biggest value in 1/3, p, -1?
1/3
Let z be 4/18 - (-74)/(-90). Let f = 0.06 + 5.94. Let m = f + -2. What is the biggest value in z, 1/4, m?
m
Let i = -4289/175 - -171/7. Which is the third biggest value? (a) 0.4 (b) i (c) 2
b
Let k = 84 - 85. What is the second smallest value in -5, k, 1/5, 5?
k
Suppose 3*s - 2*q = -13, 4*s - 1 = -3*q - 7. Let j = -3 + 3.5. Let z = -1 + j. What is the third biggest value in s, -4, z?
-4
Let k = -0.061 - -4.061. What is the biggest value in -2/7, k, 2, -2?
k
Suppose -q - w = 2, 4*q + 4*w = -w - 8. Let i be q + (-2 - -2 - -1). Which is the third biggest value? (a) i (b) 0.4 (c) 5
a
Let y be -3 - ((-3 - 1) + 0). Let n be 1 + (2 + y - 9). Which is the second biggest value? (a) -3 (b) n (c) 1/3
a
Let m = -7.977 + -0.023. Let x = -6 - 0. Let g = m - x. What is the biggest value in 0.3, -3, g?
0.3
Let x = 747/352 + -33/32. Let v = x + -73/77. What is the biggest value in v, 1, 0.1?
1
Let x be (3/(-2))/(27/33). Let t = x + 19/12. Which is the smallest value? (a) 2/5 (b) t (c) -0.2
b
Let z = 11 - 9.1. Let i = z - -0.1. What is the biggest value in -0.4, -1/2, i?
i
Let f = 0 + 1. Let b = -7 - -5.7. Let v = b + 0.8. What is the second smallest value in 0.3, f, v?
0.3
Let r = 0.1 + 0.3. Let s be (216/(-15))/(-3)*5. Let h be 2/6*s/(-20). Which is the third smallest value? (a) -3 (b) h (c) r
c
Let u = 3.8 - 0.8. Suppose 0 = -3*x - 12 - 36. Let l be ((-21)/(-28))/((-30)/x). Which is the smallest value? (a) -0.5 (b) l (c) u
a
Let u = 4.892 + 0.108. What is the smallest value in u, -2, -0.5?
-2
Suppose k - 3*n + 5 = 2*n, 4 = -5*k + 4*n. What is the second biggest value in k, -5, 0.5?
k
Let d = 3 - -1. What is the biggest value in -0.1, -1, d?
d
Let s = 0.37 - -0.03. Let o = 1/2 - -1/6. Which is the biggest value? (a) -2/7 (b) s (c) o
c
Let f = -2.94 - 0.06. Let i(t) = -t**3 - 4*t**2 + 4*t - 5. Let y be i(-5). Let m be (2 - 0)*(-1)/5. What is the third smallest value in f, m, y?
y
Let x be (0 + 3)*12/(-90). What is the second biggest value in 2, -5, x?
x
Let g = 20.5 - 20. Let o be (0 - (-2)/6)*0. What is the second smallest value in 1/5, o, g?
1/5
Let y = 7 + -11. Let p be 3/36 + 1/y. Which is the biggest value? (a) -0.4 (b) p (c) -4
b
Let k = 42 - 41. Which is th | {
"pile_set_name": "DM Mathematics"
} |
- 400156?
14*t - 13672
Find the third derivative of 655*d**3*v**3 + 1547*d**3*v**2 - 1752*d**2*v**2 - 8*d*v**3 + 2*v**3 wrt d.
3930*v**3 + 9282*v**2
What is the third derivative of 854137*i**3 + 3*i**2 - 1286*i + 29 wrt i?
5124822
What is the first derivative of -2016601*v**2 + 1666491 wrt v?
-4033202*v
Find the third derivative of 7723*d**3*u**3 + 4*d**3*u**2 + 146*d**2*u**3 - 46*d + 3*u**3 + 1 wrt d.
46338*u**3 + 24*u**2
Find the third derivative of -94*n**5 - 249*n**4 - 18689*n**2 wrt n.
-5640*n**2 - 5976*n
Find the third derivative of -l*x**3*y**2 - 238*l*x**2*y + 6*l*x**2 + 2*l*y**2 - 41772*x**3*y**2 wrt x.
-6*l*y**2 - 250632*y**2
Find the first derivative of 2777*a**2*f - 847716*a**2 + 80*f wrt f.
2777*a**2 + 80
What is the third derivative of 1096967*m**3*v**3 + 1114*m**3*v**2 + 1492*m**3 wrt v?
6581802*m**3
What is the second derivative of 11058*d**3*r - 43*d**2*o**2*r**3 - d*o**2*r**3 - 168*d*o**2*r**2 - 2*d*o*r**3 + 5*d*r**3 - 9*o**2*r**2 - o**2 wrt d?
66348*d*r - 86*o**2*r**3
Differentiate 280131*d**2*p + 1358*d**2 + 51 with respect to p.
280131*d**2
Find the second derivative of 3*r**4*x - 9113*r**3*x**3 - 20791*r*x**3 + r*x**2 wrt r.
36*r**2*x - 54678*r*x**3
What is the second derivative of -860662*o**2*u**2 + 2*o**2*u + 2*o**2 - 4389*o*u + 5*o - 2*u wrt u?
-1721324*o**2
What is the second derivative of 26641*r**3 + 4*r**2 + 37835*r wrt r?
159846*r + 8
What is the first derivative of -834030*o**2 + 810957 wrt o?
-1668060*o
Differentiate 2882029*o**3 + 4565448.
8646087*o**2
Find the second derivative of -15*x**5 - 5066*x**3 + 3043636*x wrt x.
-300*x**3 - 30396*x
What is the third derivative of 39832*o**4 + 9*o**2 - 14*o + 194 wrt o?
955968*o
Find the third derivative of -9863*n**4 + 3*n**3 + 10*n**2 + 4*n - 243.
-236712*n + 18
What is the derivative of 18*r*v - 4634*r - 263042*v wrt r?
18*v - 4634
Differentiate 2*h**3 + 515728*h**2 - 3331900 with respect to h.
6*h**2 + 1031456*h
Find the second derivative of -23152*y**2 + 219292*y.
-46304
What is the third derivative of 68431*t**3 - 164*t**2 + 38*t + 3 wrt t?
410586
Find the third derivative of 82319*x**6 - 258804*x**2.
9878280*x**3
What is the first derivative of 64336*f**4 - 182289?
257344*f**3
Find the first derivative of q**2 + 7128*q - 62299.
2*q + 7128
What is the second derivative of 2*q**4*t**2 + 21490*q**3*t**2 + q*t + 8*t**2 - 28*t wrt q?
24*q**2*t**2 + 128940*q*t**2
What is the first derivative of -8947*b**3*l*y + 10*b**3*y + 4*b*l*y + 3*l*y**2 + 1425*y**2 - 2*y wrt l?
-8947*b**3*y + 4*b*y + 3*y**2
Find the first derivative of 70*r**2 + 111*r - 20180 wrt r.
140*r + 111
Find the third derivative of 2105370*h**3*l**3 + 56*h**3*l**2 + 3*h**2*l**2 + 3*h*l**2 - 2*l + 3 wrt l.
12632220*h**3
What is the second derivative of -100683*n**2 - 9601*n - 4 wrt n?
-201366
What is the third derivative of -10976*o*u**4 + o*u**3 - 2936*o*u**2 + 10*o*u wrt u?
-263424*o*u + 6*o
Find the second derivative of -4458*c**3*l*r**2 + 3*c**3*l*r + c**3*l - 862*c**2*r - 23*l*r**2 wrt r.
-8916*c**3*l - 46*l
What is the second derivative of 6*f*m**4 + 417986*f*m - 23573*m**4 wrt m?
72*f*m**2 - 282876*m**2
Find the second derivative of 105926*b**2 - 62656*b + 1 wrt b.
211852
Find the second derivative of 3690*r**5 + 22*r**3 - 2*r**2 + 3212*r - 9.
73800*r**3 + 132*r - 4
Differentiate -c**2*s - c**2 + 2*c*s + 9213*c + 48*s - 378 wrt c.
-2*c*s - 2*c + 2*s + 9213
Find the second derivative of 25437*j**5*p - 12*j**3 - 2*j**2*p**2 + 862709*j*p**2 wrt j.
508740*j**3*p - 72*j - 4*p**2
What is the first derivative of -119521*y**2 - 25*y - 4115707 wrt y?
-239042*y - 25
Find the second derivative of 14*l**5 - 93*l**3 - 6*l**2 - 367735*l.
280*l**3 - 558*l - 12
Find the third derivative of -2*t**5 + 2*t**4 + 559*t**3 + 162971*t**2 wrt t.
-120*t**2 + 48*t + 3354
What is the third derivative of -148*b**3*p**2 + 689*b**3 - 2*b**2 - 1099*p**2 + 6 wrt b?
-888*p**2 + 4134
Differentiate -2*s**2*v - 4507*s**2 + 10*s*v + 7*s - 2660*v with respect to v.
-2*s**2 + 10*s - 2660
What is the first derivative of -58603*t + 57188?
-58603
Find the third derivative of 58*t**2*y**3 - 6*t**2*y**2 + 2*t**2 + 17*t*y**3 - 34*t*y**2 - 5*y**4 + 2*y**2 + 13 wrt y.
348*t**2 + 102*t - 120*y
What is the third derivative of 105*d**4 - 4010*d**3 + 1225648*d**2?
2520*d - 24060
Find the second derivative of 661375*s**4 - 209011*s.
7936500*s**2
Find the second derivative of 12*b**5 - 341*b**3*p + 109*b*p + 9*b - 6*p wrt b.
240*b**3 - 2046*b*p
Differentiate 27740*z**4 - 112741 wrt z.
110960*z**3
What is the second derivative of 251081*i*z**5 + 2*i*z - 41416*z - 1 wrt z?
5021620*i*z**3
Differentiate 99939*o**2 + 92912.
199878*o
Find the first derivative of -2985635*f**2 - 950836 wrt f.
-5971270*f
Find the third derivative of -4*j**3*w**3 + 487*j**3*w + 7*j**3 - j**2*w**3 + 2*j**2 - 5*j*w**3 - 53*w**2 wrt j.
-24*w**3 + 2922*w + 42
Find the second derivative of -476657*j**4*x - 686675*j*x wrt j.
-5719884*j**2*x
Find the second derivative of -3*y**5 + 3*y**4 - y**3 + 104*y**2 + 4*y + 20463.
-60*y**3 + 36*y**2 - 6*y + 208
What is the second derivative of 3200640*b**3*l**2 - 710*b**3*l + b**2*l - 13*b**2 + 2*b + 7 wrt l?
6401280*b**3
What is the second derivative of 40*t**4 + 11*t**2 + 21516*t?
480*t**2 + 22
Find the third derivative of -20103*f**4*t**2 + 10*f**3*t**3 - 1349*f**2*t**3 - 20*f**2 - t**2 - 2*t wrt f.
-482472*f*t**2 + 60*t**3
What is the second derivative of -588672*s**2 - 4310*s - 2 wrt s?
-1177344
What is the second derivative of -170725*v**4 + 1029501*v?
-2048700*v**2
Find the first derivative of j**2*r**2 - j**2*r + 20484*j**2 + 9733*r wrt r.
2*j**2*r - j**2 + 9733
What is the second derivative of 56*o**5 + 8*o**4 + 68*o**3 + 32077*o?
1120*o**3 + 96*o**2 + 408*o
What is the second derivative of i*z**3 + i*z**2 + 64667*i*z + 254457*z**3 - 2*z**2 + 27*z wrt z?
6*i*z + 2*i + 1526742*z - 4
Find the first derivative of -2*k**3 + 520126*k + 1012293 wrt k.
-6*k**2 + 520126
What is the second derivative of 684*d*o**3*u + d*u - 3045*d - 51*o**4*u - o*u + 4*o wrt o?
4104*d*o*u - 612*o**2*u
What is the third derivative of 2372294*c**3*k**2 - c**2*k**2 - 14842*c*k**2 + k wrt c?
14233764*k**2
What is the first derivative of -1978203*q**2 - 2012266?
-3956406*q
What is the second derivative of 283*o**2*r*t**3 - 6*o**2*r - o**2*t + 543*o*r - 8*r*t**3 - 2*r*t - 3*t**2 wrt t?
1698*o**2*r*t - 48*r*t - 6
What is the third derivative of -3*r**5 + 1304*r**4 + r**3 + 301646*r**2?
-180*r**2 + 31296*r + 6
Find the second derivative of 2*j**2*p**2 + 28*j**2*p*r + 41*j**2*p - 2*j**2*r - 22*j*p**2*r + 49*p**2 + 3*p wrt p.
4*j**2 - 44*j*r + 98
What is the third derivative of -8952*r**3*y**3 + 15*r**3*y - 974*r**2*y + 2*r*y + 77*y**3 wrt r?
-53712*y**3 + 90*y
What is the third derivative of -12*d**2*h**4 - 2*d**2*h + 55*d*h**4 + 2134*d*h**2 - 2*h**3 wrt h?
-288*d**2*h + 1320*d*h - 12
Find the second derivative of 2*k**3*o*p - k**2*o + 2957*k**2 - 5*k*o*p - 8*o - 6*p + 3 wrt k.
12*k*o*p - 2*o + 5914
What is the third derivative of 193*x**5 + 3*x**4 - 907*x**2 - x - 7?
11580*x**2 + 72*x
Find the second derivative of 49168*a**2 - 132947*a.
98336
What is the third derivative of a**3*k**2 + 118148*a**3 - 27*a**2*k**2 - 371*a wrt a?
6*k**2 + 708888
What is the second derivative of 354725*l**3 - 224170*l - 1 wrt l?
2128350*l
What is the first derivative of 11*l**3 + 216*l**2 + 12341?
33*l**2 + 432*l
What is the second derivative of c**5 + 7*c**2*g*u + 8927*c**2*u - c*g*u - c*u - 353*c - 4*g*u - 3*g wrt c?
20*c**3 + 14*g*u + 17854*u
Find the third derivative of 406063*p**4 + 962984*p**2 wrt p.
9745512*p
Find the first derivative of -6*q**3*r - 133*q**3 + 10*q*r - 2*r + 17392 wrt q.
-18*q**2*r - 399*q**2 + 10*r
Find the third derivative of 5*p**4 - 2216*p**3 - 328554*p**2.
120*p - 13296
Find the second derivative of -18*x**3 - 2124*x**2 + 2*x - 13693.
-108*x - 4248
Find the third derivative of 2451*q**4 - 12*q**3 - 99035*q**2 wrt q.
58824*q - 72
Find the second derivative of 57211*w**2 + 157285*w.
114422
What is the second derivative of 141*b*i*j*u**2 - 2*b*i*j*u - b*i*j + b*i*u - 15*b*j*u**2 - 3*i*j*u**2 + i*j*u - i + 142*j - 22*u wrt u?
282*b*i*j - 30*b*j - 6*i*j
What is the second derivative of 2*n**2*p**3 - 29156*n**2*p - n**2 + 5953*n*p**4 - 2 wrt p?
12*n**2*p + 71436 | {
"pile_set_name": "DM Mathematics"
} |
2
Simplify (sqrt(60)/(2*sqrt(12)))**2 - sqrt(60)/(1*sqrt(12)).
-sqrt(5) + 5/4
Simplify (-2 + sqrt(108)*4)*2.
-4 + 48*sqrt(3)
Simplify (3*(sqrt(48)/sqrt(2) + sqrt(24))/sqrt(8))**2*4.
432
Simplify (sqrt(26)/sqrt(2)*5)**2 + -4.
321
Simplify (sqrt(5) + 0 + sqrt(5))**2 + 1 - (-1 + sqrt(5) + -1).
-sqrt(5) + 23
Simplify (sqrt(3993) - (-3*sqrt(3993) + sqrt(3993)))/sqrt(11).
33*sqrt(3)
Simplify ((sqrt(11) - sqrt(176)) + 2)*3.
-9*sqrt(11) + 6
Simplify -4 + (sqrt(200)*1*2)**2 + sqrt(200).
10*sqrt(2) + 796
Simplify 1*(3 + sqrt(19) + 0).
3 + sqrt(19)
Simplify ((sqrt(392) - (sqrt(392) - (sqrt(392) + 1*sqrt(392))))/sqrt(8))/sqrt(7).
2*sqrt(7)
Simplify (2 + (-2 + (sqrt(684) - -1*sqrt(684)) - sqrt(684) - (-1 + sqrt(684))*-4))**2.
-240*sqrt(19) + 17116
Simplify sqrt(35)/(1*sqrt(5))*-3.
-3*sqrt(7)
Simplify -5 + ((sqrt(12)/(sqrt(6)*-1))**2 - (sqrt(8)/sqrt(4) + -3)).
-sqrt(2)
Simplify (sqrt(19) + sqrt(95)/sqrt(5))*-3 + sqrt(19) + -1 + 0 + -4.
-5*sqrt(19) - 5
Simplify (-2*sqrt(612) - sqrt(612))*1*-3.
54*sqrt(17)
Simplify 4 + sqrt(49)/sqrt(175).
sqrt(7)/5 + 4
Simplify ((sqrt(19) - (sqrt(19) + 1 + -1)) + sqrt(19) + 4 + (sqrt(19) - (-1 + sqrt(19) + sqrt(19))))**2.
25
Simplify (-2 + sqrt(108) + 5)**2.
36*sqrt(3) + 117
Simplify -3*(2 + (-1*sqrt(684))**2*6).
-12318
Simplify sqrt(152)/(sqrt(80)/sqrt(90))*5.
15*sqrt(19)
Simplify (sqrt(55) - -3*(sqrt(55) - sqrt(220)))/((sqrt(132)/sqrt(4))/sqrt(3)).
-2*sqrt(5)
Simplify (sqrt(78) + (sqrt(78) - (3*sqrt(78)*2 - sqrt(78))) - sqrt(78))/(1*sqrt(6)*-4).
sqrt(13)
Simplify -2 + (sqrt(245)*1 + sqrt(245))**2 + sqrt(245).
7*sqrt(5) + 978
Simplify 4*-4*(sqrt(5) - (sqrt(5) + 1)*4).
64 + 48*sqrt(5)
Simplify (sqrt(4)/(-1*sqrt(128)) - (3*(sqrt(2) + -1) + 0))**2.
-75*sqrt(2)/4 + 913/32
Simplify ((sqrt(65) + sqrt(65)*-1*4 - sqrt(65)) + sqrt(65) + sqrt(65) - sqrt(65))/(sqrt(5) + (sqrt(5)*-3 + sqrt(5))*-2).
-3*sqrt(13)/5
Simplify (sqrt(77)*-2)/sqrt(7) - (sqrt(11)*-2 + -5).
5
Simplify (-1*sqrt(320) + 2 + sqrt(320) - (-1 + sqrt(320) + 1))**2.
-32*sqrt(5) + 324
Simplify (5 + sqrt(11) + sqrt(88)/(sqrt(32)/sqrt(4)))*-3 + -1.
-6*sqrt(11) - 16
Simplify sqrt(405) + (sqrt(405) - ((1 + sqrt(405)*2)**2 - sqrt(405))).
-1621 - 9*sqrt(5)
Simplify (-1*sqrt(1900)*-1 + -2 + -4)**2.
-120*sqrt(19) + 1936
Simplify (sqrt(12) + (sqrt(588) + sqrt(588) + sqrt(588)*-1 - sqrt(12)))/sqrt(4).
7*sqrt(3)
Simplify sqrt(252) + -1 + sqrt(7) - sqrt(56)/sqrt(2).
-1 + 5*sqrt(7)
Simplify (5 + (sqrt(5) - (sqrt(20)/sqrt(4) + -4 - sqrt(5))))**2.
18*sqrt(5) + 86
Simplify -4 + ((sqrt(5) - sqrt(10)/sqrt(2)) + 0)**2 + -5.
-9
Simplify (sqrt(152) + (-6*((sqrt(152)*2 - sqrt(152) - sqrt(152)) + sqrt(152)) - sqrt(152)) - sqrt(152))/(sqrt(1152)*-1).
7*sqrt(19)/12
Simplify (6*(sqrt(468) + (sqrt(468)*-2 - sqrt(468)) + -5 - (4*sqrt(468)*-1 + sqrt(468))))**2.
-2160*sqrt(13) + 17748
Simplify (2 + sqrt(12)/sqrt(4) - (sqrt(12) + sqrt(3))*5)**2.
-56*sqrt(3) + 592
Simplify (sqrt(315)/(sqrt(5) + sqrt(5)*-2))**2.
63
Simplify (sqrt(343) + -2*sqrt(343)*1)**2 - -2*((sqrt(343) + 0)**2 - sqrt(343)).
-14*sqrt(7) + 1029
Simplify (sqrt(35) + ((sqrt(70)*1)/sqrt(2) - sqrt(35)))/(sqrt(7) + 2*(sqrt(7) - -2*sqrt(7))).
sqrt(5)/7
Simplify 6*((sqrt(5) - (2 + sqrt(320))) + sqrt(5)).
-36*sqrt(5) - 12
Simplify -2*(-1 + sqrt(17)) + sqrt(136)/(-4*sqrt(8) + sqrt(8)).
-7*sqrt(17)/3 + 2
Simplify -4*sqrt(57)/(-2*sqrt(363)).
2*sqrt(19)/11
Simplify 0 + (sqrt(15)/(sqrt(10)/sqrt(2)*5))**2.
3/25
Simplify ((-6*(sqrt(5) - sqrt(20)) + sqrt(5) - (-2 + sqrt(80)))*-4)**2.
192*sqrt(5) + 784
Simplify 3*sqrt(475) + sqrt(475) - -2*-2*sqrt(19).
16*sqrt(19)
Simplify (-3*2*sqrt(78))/((sqrt(54) + sqrt(54) + sqrt(864) + sqrt(54))/sqrt(9) + sqrt(6)).
-3*sqrt(13)/4
Simplify -1 + (3*1*sqrt(2057) - sqrt(2057)) + sqrt(2057) + 4.
3 + 33*sqrt(17)
Simplify ((sqrt(539) - (sqrt(539) - (sqrt(539)*2 + sqrt(539) + sqrt(539))**2)) + -2)*3.
25866
Simplify (sqrt(22)/sqrt(176) - sqrt(2) - sqrt(2))*1.
-7*sqrt(2)/4
Simplify sqrt(12)/(-5*sqrt(6)) - ((sqrt(242))**2*3 - sqrt(2)).
-726 + 4*sqrt(2)/5
Simplify 2 + 1*sqrt(2)*3.
2 + 3*sqrt(2)
Simplify (sqrt(66)/sqrt(99))/sqrt(2).
sqrt(3)/3
Simplify 2 + ((sqrt(77) + (sqrt(77) - (sqrt(77) + 1*((sqrt(77) - 2*sqrt(77)) + sqrt(77))) - sqrt(77)))/((sqrt(42) + sqrt(672) + sqrt(42))/sqrt(6)))**2.
2
Simplify 2 + (-1*sqrt(7))**2 + -5*((sqrt(7) - sqrt(175) - sqrt(7)) + sqrt(7)).
9 + 20*sqrt(7)
Simplify (sqrt(187) + sqrt(187) + -2*(sqrt(187) - sqrt(187)*4) + sqrt(187))/sqrt(11).
9*sqrt(17)
Simplify ((sqrt(64)*-2)/(sqrt(32)*3 - sqrt(2)))**2.
128/121
Simplify (sqrt(143) + 2*1*sqrt(143))/(sqrt(11) + 1*sqrt(1584)).
3*sqrt(13)/13
Simplify (sqrt(21)/sqrt(63))**2 - (sqrt(3)*2 + -5).
-2*sqrt(3) + 16/3
Simplify -3*sqrt(22)/(sqrt(288)*-1 - sqrt(288))*2.
sqrt(11)/4
Simplify -5 + ((sqrt(90)/sqrt(5))**2 + sqrt(18) - sqrt(2)) + 2.
2*sqrt(2) + 15
Simplify 1 + sqrt(136)/sqrt(2).
1 + 2*sqrt(17)
Simplify 1*2*sqrt(7) + -2.
-2 + 2*sqrt(7)
Simplify (sqrt(1872)*-2 - sqrt(1872) - sqrt(1872))**2 + 6*sqrt(52).
12*sqrt(13) + 29952
Simplify 2*(sqrt(2) + 1) + ((sqrt(72))**2 - sqrt(2)).
sqrt(2) + 74
Simplify (sqrt(95)*1*1)/(2*-1*sqrt(5)).
-sqrt(19)/2
Simplify ((1*sqrt(189))/((sqrt(7) - (sqrt(7) + (5*sqrt(28) - sqrt(7)))) + sqrt(7)))**2.
27/64
Simplify ((sqrt(425))**2 + -1)*6.
2544
Simplify 4*(-2*sqrt(684)*-6 + 2).
8 + 288*sqrt(19)
Simplify 0 + (sqrt(108)*-1 + sqrt(108))**2 + sqrt(108) - (5 + (sqrt(108)*1)**2).
-113 + 6*sqrt(3)
Simplify 5*-3*sqrt(57)/(2*sqrt(3)).
-15*sqrt(19)/2
Simplify ((-2*sqrt(1862))/(-4*sqrt(2)*2))**2.
931/16
Simplify sqrt(192) + sqrt(192) + -2 + 0.
-2 + 16*sqrt(3)
Simplify (sqrt(640) + sqrt(640) + sqrt(640) + sqrt(640)*3)/sqrt(8).
24*sqrt(5)
Simplify sqrt(304)*1*1 + 4.
4 + 4*sqrt(19)
Simplify (sqrt(280)/(-2*sqrt(8)) + sqrt(35))/(sqrt(5) + 5*2*sqrt(5)).
sqrt(7)/22
Simplify sqrt(833) + -1 - (sqrt(68)/sqrt(4)*4)**2.
-273 + 7*sqrt(17)
Simplify 5 + 1*(-1*sqrt(275) + sqrt(275)).
5
Simplify -6*(-2*sqrt(1500))/sqrt(12).
60*sqrt(5)
Simplify sqrt(104)/(-6*sqrt(128)).
-sqrt(13)/24
Simplify (sqrt(76))**2 + -4 - -4*(sqrt(19) + sqrt(19)*1).
8*sqrt(19) + 72
Simplify -4*(1 + sqrt(27)) + 1*(-4*(sqrt(3) - -1*sqrt(3)))**2.
-12*sqrt(3) + 188
Simplify ((sqrt(117) + sqrt(117)*1 + sqrt(117))*-1)/(sqrt(9) - (6*(sqrt(36) + sqrt(9) - sqrt(9)) + sqrt(9) + sqrt(9))).
3*sqrt(13)/13
Simplify sqrt(4800)*-3.
-120*sqrt(3)
Simplify (1*sqrt(104)*6 - sqrt(104))/((2*sqrt(80))/sqrt(10)).
5*sqrt(13)/2
Simplify ((sqrt(209) + sqrt(209) + sqrt(209) + (sqrt(209) - sqrt(209)*2) + sqrt(209) + sqrt(209))*-3)/sqrt(11).
-12*sqrt(19)
Simplify 2 + 6*(1 + sqrt(17)).
8 + 6*sqrt(17)
Simplify (4 + sqrt(18))*-6.
-18*sqrt(2) - 24
Simplify 3*(sqrt(637) + -3).
-9 + 21*sqrt(13)
Simplify -4*sqrt(891) - sqrt(11) - sqrt(99)/(sqrt(63)/sqrt(7)).
-38*sqrt(11)
Simplify ((sqrt(120)/(sqrt(5) - 2*sqrt(5)))/(sqrt(12) + (sqrt(12) - 4*sqrt(12)*1 - sqrt(12))))**2.
2/9
Simplify -3*(1*(0 + sqrt(17))*-2)**2.
-204
Simplify -4 + (-4*sqrt(12)*1 - sqrt(12))/(sqrt(54)*-2).
-4 + 5*sqrt(2)/6
Simplify ((sqrt(153) - sqrt(153)*1)/sqrt(9) + -3 + sqrt(34)/sqrt(2))**2.
-6*sqrt(17) + 26
Simplify ((4*sqrt(22)*2)/(sqrt(98) + (sqrt(98) - sqrt(98)*-1) + sqrt(98) + sqrt(98)))**2.
704/1225
Simplify -1 + -3*sqrt(243).
-27*sqrt(3) - 1
Simplify sqrt(112)*-2 - (sqrt(7) - (sqrt(700) + sqrt(700) + 0)**2).
-9*sqrt(7) + 2800
Simplify (sqrt(7056)*-1)/(sqrt(21)/sqrt(48) + sqrt(7) - sqrt(7)).
-48*sqrt(7)
Simplify ((sqrt(475) - (-1*sqrt(475) + -2)) + sqrt(475))**2 + 2.
60*sqrt(19) + 4281
Simplify sqrt(12)/(sqrt(12)/sqrt(2)*-6)*2.
-sqrt(2)/3
Simplify (sqrt(63) + sqrt(126)/(sqrt(2) + (sqrt(8)/sqrt(4) - sqrt(2)) + sqrt(2)))/(sqrt(54)/sqrt(24) - sqrt(9)).
-3*sqrt(7)
Simplify ((sqrt(1872) - (sqrt(1872) - -3*(0 + sqrt(1872))))**2 + sqrt(1872))*-5.
-84240 - 60*sqrt(13)
Simplify sqrt(16)/(sqrt(392)*-1 + sqrt(8)).
-sqrt(2)/6
Simplify -4 + (sqrt(99)*-2 + sqrt(99))/sqrt(9).
-4 - sqrt(11)
Simplify (-1*sqrt(1800))/sqrt(10).
-6*sqrt(5)
Simplify -3*-2*(0 + -1 + sqrt(19) + sqrt(19)).
-6 + 12*sqrt(19)
Simplify ((sqrt(68) + 6*-1*sqrt(68) + sqrt(68) - sqrt(68))/((sqrt(4) + 1*sqrt(4))*2))**2.
425/16
Simplify 6*sqrt(27)/sqrt(9) + ((sqrt(3) - (-1 + sqrt(3))) + -2)**2.
1 + 6*sqrt(3)
Simplify (sqrt(10)/sqrt(2))**2 + -4 - -2*sqrt(245).
1 + 14*sqrt(5)
Simplify -3 + 4*(sqrt(252))**2.
1005
Simplify ((2 + sqrt(17) - sqrt(17)) + -4 + sqrt(17))*6.
-12 + 6*sqrt(17)
Simplify (( | {
"pile_set_name": "DM Mathematics"
} |
-3/40400?
80800
Find the common denominator of -22/111 and -125/20826.
770562
Find the common denominator of -41/11331 and 17/548.
6209388
What is the common denominator of -137/4824 and -11/360?
24120
Calculate the common denominator of -103/19750 and 37/136275.
1362750
What is the least common multiple of 596508 and 198836?
596508
Find the common denominator of 43/209 and -25/53903.
592933
What is the common denominator of -81/20 and 101/222446?
2224460
What is the common denominator of -9/140 and 81/50?
700
What is the common denominator of -113/2212 and 51/448?
35392
Calculate the least common multiple of 5229 and 5229.
5229
What is the lowest common multiple of 36 and 1499400?
1499400
What is the common denominator of 23/7 and 50/3811?
26677
Calculate the least common multiple of 47712 and 288.
143136
Calculate the smallest common multiple of 37544 and 520.
187720
What is the smallest common multiple of 56150 and 14?
393050
What is the lowest common multiple of 528 and 9744?
107184
What is the least common multiple of 265 and 621690?
621690
What is the common denominator of -13/60 and 31/4264?
63960
Calculate the smallest common multiple of 195783 and 102553.
2153613
Find the common denominator of 11/8498 and -169/84.
50988
What is the common denominator of -21/880 and -109/416?
22880
Find the common denominator of 55/494 and -29/72.
17784
Find the common denominator of -137/122184 and -31/54.
366552
Calculate the common denominator of 139/108 and 169/1800.
5400
Calculate the common denominator of -43/19584 and 67/32.
19584
What is the lowest common multiple of 2808 and 7878?
283608
What is the smallest common multiple of 1122 and 164934?
164934
Calculate the least common multiple of 550 and 2000.
22000
What is the common denominator of 11/438666 and 11/452?
877332
Calculate the lowest common multiple of 101812 and 8.
203624
Calculate the lowest common multiple of 144 and 41904.
41904
Find the common denominator of 21/5951 and -9/3787.
41657
Calculate the common denominator of -23/84 and 23/50225.
602700
Calculate the smallest common multiple of 60 and 18375.
73500
What is the least common multiple of 128051 and 256102?
256102
Calculate the common denominator of 125/2208 and 55/1764.
324576
What is the smallest common multiple of 6 and 10761?
21522
What is the lowest common multiple of 18972 and 202368?
607104
Find the common denominator of 21/8968 and -81/9158.
2161288
Calculate the common denominator of 117/5710 and 5/7994.
39970
Find the common denominator of -35/6624 and 123/5152.
46368
What is the least common multiple of 1033082 and 4?
2066164
Calculate the least common multiple of 10618 and 1312.
6965408
What is the least common multiple of 562326 and 132312?
2249304
What is the common denominator of 76/3 and 5/70612?
211836
Calculate the common denominator of 67/157970 and -65/1326948.
6634740
Calculate the least common multiple of 59 and 102955.
102955
What is the lowest common multiple of 920 and 36800?
36800
What is the smallest common multiple of 14 and 19850?
138950
What is the common denominator of -151/528 and 67/2079?
33264
Calculate the smallest common multiple of 117 and 40378.
363402
Calculate the common denominator of 193/870 and -115/3132.
15660
Calculate the least common multiple of 520 and 2015.
16120
Calculate the lowest common multiple of 45108 and 54.
135324
What is the common denominator of 7/1056 and 97/16632?
66528
Calculate the lowest common multiple of 60876 and 324672.
974016
What is the common denominator of 101/60260 and -31/92?
60260
What is the common denominator of -73/117342 and -65/1431?
117342
What is the least common multiple of 76 and 39216?
39216
What is the lowest common multiple of 19943 and 9065?
99715
Calculate the common denominator of -43/31436 and -41/13688.
3709448
Calculate the least common multiple of 1472 and 1088.
25024
Calculate the lowest common multiple of 24 and 720.
720
What is the common denominator of -81/33080 and 109/1920?
1587840
Calculate the common denominator of 51/5048 and 63/80.
50480
What is the common denominator of 20/837 and 34/1097493?
9877437
What is the smallest common multiple of 399060 and 12?
399060
What is the lowest common multiple of 3042 and 333?
112554
Calculate the lowest common multiple of 7068 and 950.
176700
What is the least common multiple of 3612 and 334110?
668220
Calculate the smallest common multiple of 228375 and 42.
456750
Calculate the lowest common multiple of 1588070 and 28874.
1588070
Find the common denominator of -86/405279 and 143/347382.
2431674
Calculate the least common multiple of 2058 and 242.
249018
What is the least common multiple of 36 and 15816?
47448
Calculate the common denominator of -61/96 and 76/49581.
1586592
Calculate the smallest common multiple of 1995 and 105.
1995
Find the common denominator of 43/12516 and -1/854.
763476
Calculate the smallest common multiple of 49776 and 96.
99552
What is the smallest common multiple of 20 and 24896?
124480
Calculate the least common multiple of 476 and 1054.
14756
Calculate the least common multiple of 22555 and 520.
180440
Calculate the common denominator of 121/68688 and -43/22896.
68688
What is the smallest common multiple of 12738 and 1812?
3846876
Calculate the common denominator of -48/29125 and 41/125.
29125
What is the smallest common multiple of 89518 and 3443?
89518
What is the least common multiple of 43 and 16412?
705716
Calculate the common denominator of 74/65397 and -5/152593.
457779
What is the lowest common multiple of 1476 and 15780?
1940940
What is the least common multiple of 263736 and 2112?
2109888
Calculate the smallest common multiple of 3210 and 180.
19260
What is the smallest common multiple of 794610 and 441450?
3973050
Calculate the smallest common multiple of 107485 and 42994.
214970
What is the least common multiple of 4 and 159495?
637980
What is the common denominator of 79/95872 and 79/2996?
95872
Calculate the common denominator of 85/5044 and -23/52.
5044
Calculate the smallest common multiple of 853484 and 102047.
9388324
What is the lowest common multiple of 16192 and 13248?
145728
Find the common denominator of -169/1848 and 65/183491.
4403784
Calculate the lowest common multiple of 2004 and 1670.
10020
Find the common denominator of 56/261035 and -14/76775.
1305175
Calculate the least common multiple of 392 and 1624.
11368
What is the common denominator of -1/27071 and 137/138?
162426
Calculate the smallest common multiple of 10 and 27525.
55050
Calculate the least common multiple of 2211 and 34505.
1138665
What is the common denominator of 13/864 and -107/6264?
25056
Find the common denominator of -119/95484 and -59/1022.
668388
Calculate the least common multiple of 188799 and 824.
1510392
Find the common denominator of -65/4 and -91/169168.
169168
What is the least common multiple of 1446 and 344?
248712
What is the smallest common multiple of 174915 and 1656?
1399320
Calculate the smallest common multiple of 73644 and 816.
294576
Calculate the common denominator of 31/574698 and 145/1149396.
1149396
What is the smallest common multiple of 60 and 627420?
627420
Calculate the least common multiple of 26578 and 23.
611294
Calculate the common denominator of 35/66957 and -33/32464.
1071312
What is the common denominator of -139/114 and 105/4048?
230736
Calculate the smallest common multiple of 4683 and 114.
177954
Calculate the smallest common multiple of 54 and 220302.
660906
Find the common denominator of 99/475850 and -59/14.
3330950
Calculate the lowest common multiple of 423768 and 8.
423768
Calculate the least common multiple of 14607 and 11361.
102249
Calculate the smallest common multiple of 2678 and 2060.
26780
Find the common denominator of -19/689139 and -25/842281.
7580529
Find the common denominator of 161/572220 and -131/635800.
5722200
Calculate the lowest common multiple of 9218 and 42.
193578
What is the lowest common multiple of 180530 and 35?
180530
Calculate the lowest common multiple of 324 and 2244.
60588
What is the common denominator of -71/989054 and 63/352?
15824864
What is the common denominator of 27/328 and -55/2452?
201064
Calculate the smallest common multiple of 43706 and 5330.
218530
What is the lowest c | {
"pile_set_name": "DM Mathematics"
} |
. Suppose -a = g - 6. Sort -1, a, 3 in decreasing order.
3, -1, a
Let g be (13 - 4)*(-2)/(-6). Let h = -53.4 - -48.4. Put 4, g, h, -0.3 in ascending order.
h, -0.3, g, 4
Let u = -6.996 + -0.004. Let k = u - 0. Suppose 3*b + 3 = -0. Sort b, -0.5, k in ascending order.
k, b, -0.5
Let f = -41 - -67. Let m = 16 - f. Let c = 4.6 + 0.4. Sort c, m, 2.
m, 2, c
Let p be 2 - ((-12)/(-2))/(-2). Suppose -34 = -u - 3*o, 0 = -4*u - 3*o + 97 + 84. Let g be (6 - 308/u) + (-23)/(-7). Sort 0, p, g in decreasing order.
p, g, 0
Suppose 0 = 5*g + 38*g + 43. Suppose -4*s + 5*s - 2 = 0. Let w = 1 + s. Sort g, 0, w in increasing order.
g, 0, w
Let u = -1844/7 - -263. Let p = 85 - 84.8. Put u, p, 3 in descending order.
3, p, u
Suppose 4*y + 3*l + 21 = 0, 2*y - 1 = -l - 10. Let w(f) = f**2 - 7*f + 13. Let i be w(3). Sort i, y, 3 in descending order.
3, i, y
Suppose -c = 3*q - 9, 2*q = -5*c - 3 + 22. Let u = -23 - -23. Put -3, u, c, -8 in decreasing order.
c, u, -3, -8
Let g = -43.88 + 0.88. Let m = -43.3 - g. Sort 7/4, -5, m in descending order.
7/4, m, -5
Let b = -62 - -14. Let g = 29 + b. Let f = g - -19.01. Put f, -2, 4 in ascending order.
-2, f, 4
Let u = 1.43 - 11.83. Let q = -0.25 + 10.25. Let o = q + u. Put o, 2, -0.5 in decreasing order.
2, o, -0.5
Let x(w) = -w**3 - 10*w**2 - 8*w + 7. Let p be x(-9). Sort p, -4/7, -0.1.
p, -4/7, -0.1
Let t = -66 - -66. Sort 11, t, 1/3 in descending order.
11, 1/3, t
Let j be 82/26 - (9 - (-920)/(-104)). Put 2, 7, j, 5 in increasing order.
2, j, 5, 7
Suppose 4*x = -3*f - 21, 12*f + 18 = -x + 7*f. Sort 4, -76, x.
-76, x, 4
Let w = -1 + 12. Let d = -15 + w. Sort 5, 1, d, 4 in increasing order.
d, 1, 4, 5
Suppose 0 = -2*n + p - 14, n + p + 9 = 2*p. Put 155, -3, n in descending order.
155, -3, n
Suppose -69 = 23*g - 26*g. Suppose g + 17 = -8*p. Let b = -7 - -3. Sort b, p, 0.1 in increasing order.
p, b, 0.1
Let t = 43/2 - 23. Put -0.1, t, -1/6 in descending order.
-0.1, -1/6, t
Let r be ((-7)/(-147))/((-1)/(-6)). Let x = 466.5 - 467. Put r, -5, -15, x in increasing order.
-15, -5, x, r
Let p = -66.99 + 71.9. Let z = -0.09 - p. Suppose -29*g + 45 + 13 = 0. Sort z, g, 1/3 in ascending order.
z, 1/3, g
Let a be 14*2/72 + 20/(-90). Put -4, -10, a in descending order.
a, -4, -10
Suppose 7*x - 2*x + 45 = 0. Let u be (-1 - x) + (-8)/8. Let v(a) = a**2 - 7*a - 5. Let s be v(u). Sort s, 5, -4 in descending order.
5, -4, s
Suppose -k + 5*p + 1 = 0, -p + 2*p = 1. Let f be ((-3)/(-34))/(k/8). Let o = -4486 - -4485.7. Sort 2/11, o, f in ascending order.
o, f, 2/11
Suppose -2*b - h = -4*b + 7, -b - 2*h - 9 = 0. Let s = -18 + b. Let f = 24 + s. Sort 1, -1, f in decreasing order.
f, 1, -1
Suppose 10 = -5*v + 5*x, 0*v - 3*x + 10 = -v. Let c be (-1)/(-2 - (-13)/7). Suppose -2*j - 1 = c. Put -6, j, v in increasing order.
-6, j, v
Let a = -6.4 + 6.7. Let s = -3.5 - -0.5. Let t = s + 3.1. Sort t, -1/3, a in ascending order.
-1/3, t, a
Let k(t) = t**2 - 7*t + 9. Let u be k(6). Suppose 3*p - 6 = -u*c + 21, 3*p = -5*c + 37. Put 6, c, -3 in decreasing order.
6, c, -3
Let u = -100 + 88. Let l be (0 - 18)*u/24. Sort 2, l, 3 in descending order.
l, 3, 2
Let m be (-5 - -8) + -6 - 62/(-22). Sort 0.5, 65, m in ascending order.
m, 0.5, 65
Let r = 0.1 + -1.1. Put r, 2/3, -25 in increasing order.
-25, r, 2/3
Let m be 6 + (2 - 4) + 1. Suppose 5*r - 13 = 4*n, -m*n - 6 = 2*r + 2. Let k = n + -1. Sort -2, -4, k in descending order.
-2, k, -4
Suppose m + 20 = 5*b + 8, 0 = 2*b - 4. Let w(d) = d**2 - 3*d - 2. Suppose 2*u - 10 = -2. Let h be w(u). Put m, h, 3 in descending order.
3, h, m
Suppose f + 2*g - 201 = 6*f, 4*f = 3*g - 165. Let h = f - -57. Let k be 12/54 - 22/h. Put 3, k, -5 in increasing order.
-5, k, 3
Let a(x) = -9*x**2 - x + 5. Let t be a(1). Put -31, t, 2, 0 in increasing order.
-31, t, 0, 2
Let o = -28 + 32. Suppose o*x = x + 3. Suppose 3*d + 2*d - 24 = 3*s, -6 = -2*d. Sort x, s, 1/2.
s, 1/2, x
Let a = -512 - -505. Sort 0.1, -1, 3, a in decreasing order.
3, 0.1, -1, a
Let v = 4 + -8. Let d = -7 + 14. Let a(r) = r**2 - 7*r + 4. Let s be a(d). Sort 1, v, s in ascending order.
v, 1, s
Suppose 3 = -5*y - 27. Suppose 12*r = 7*r + 340. Suppose -p = -r + 67. Sort 5, p, y in ascending order.
y, p, 5
Let y(q) = q**3 - 7*q**2 - q + 4. Let j be y(7). Put 15, -2, 0, j in descending order.
15, 0, -2, j
Let g be -5 - 2*(-234)/96. Sort -1/7, g, 5 in descending order.
5, g, -1/7
Suppose -3*h + 0*b = -2*b - 114, 2*h - 3*b = 76. Let w be 61/h - (-6)/(-4). Sort w, 0.3, -0.7, -0.3 in descending order.
0.3, w, -0.3, -0.7
Let w = 1094.4 + -1094. Let h = -7 - -10. Sort -4, h, w in descending order.
h, w, -4
Suppose -5*q + 5*j + 79 - 49 = 0, 3*j = 5*q - 36. Put 0.39, q, -2/9 in decreasing order.
q, 0.39, -2/9
Let f be 94/104 - 16/104. Put -2/9, f, 2/9, -1/3 in descending order.
f, 2/9, -2/9, -1/3
Let a(m) = m**3 + 10*m**2 + 8*m + 4. Let h be a(-9). Suppose h*i - 12*i + 1 = 0. Sort i, -3, 1, 2 in decreasing order.
2, 1, i, -3
Let f = -10 + 14. Let w be (20/(-6))/(16/(-24)). Suppose -3*z = -4*z + w. Put z, -2, f in descending order.
z, f, -2
Let q = -1737 + 1734. Let m = 3 + -2. Sort m, q, 2, 0 in ascending order.
q, 0, m, 2
Let s = -131419 + 1705862/13. Let t = s + 199. Sort -12/7, -2, t, 3 in decreasing order.
3, t, -12/7, -2
Let n = -0.3 + 2.3. Let v = 16096 - 16093. Sort v, n, 5, -1 in decreasing order.
5, v, n, -1
Let t = -0.02 - 0.58. Let r = 0.8 + t. Put 0.1, -3/2, -1/2, r in increasing order.
-3/2, -1/2, 0.1, r
Let u be 55/165*(-6)/(-10). Sort 2, 9/7, u, -13 in descending order.
2, 9/7, u, -13
Suppose 3*s = 2*s - 3. Let b = -221 + 216. Sort b, s, -1, 7.
b, s, -1, 7
Let m = -91/396 + -2/99. Let j be ((-7764)/532)/(-3) + -3. Let g = j + -30/19. Sort m, g, -1.
-1, m, g
Let v be (-2)/2 + 1/2. Let b = -45 - -42.8. Let p = -2 - b. Sort p, v, 5 in increasing order.
v, p, 5
Let p = -356 - -356. Sort p, 1, -13 in increasing order.
-13, p, 1
Let p = -181 + 177. Put -3, 2.1, p in descending order.
2.1, -3, p
Let v(s) = s**3 - 5*s**2 - 5*s - 5. Let y be v(6). Suppose -2*r - 4 = -2. Sort 3, y, r in ascending order.
r, y, 3
Let k = -3.04 - -2.94. Let l be (-2)/5*(12 - 2). Let v = -1 - l. Sort 0.1, k, v in descending order.
v, 0.1, k
Let m = 51 + -31. Let d be (-13)/5 + (-8)/m. Suppose 0 = 2*j + 8, o - 16 = 6*o - j. Sort -5, o, d.
-5, o, d
Let a(c) = c**2 + 13. Let u be a(-5). Sort u, 0, -4 in ascending order.
-4, 0, u
Suppose 0 = -5*q - 3*u + 12, 0 = -0*q + q + 4*u - 16. Suppose 44*h - 53*h = -36. Sort h, -3, -2, q.
-3, -2, q, h
Suppose -3*k = -2*k - 5*i - 18, 3*k + 4*i = 54. Let t = -93 + 66. Let n be (2/t)/((-6)/k). Sort -0.4, 2, n.
-0.4, n, 2
Suppose 7*w = -7 - 0. Suppose z - 3 = -1. Suppose 5*h = z*y + 22, -y = -4*h + 4*y + 21. Put h, 2, w in ascending order.
w, 2, h
Let y be 3/21 + (-1 - (-100)/35). Sort 3, -2/9, -12, y in decreasing order.
3, y, -2/9, -12
Let h = 558 + -559. Put -3, 1, h, 14 in descending order.
14, 1, h, -3
Let r = 0.86 + -0.56. Let n be (-31)/2 + (-18)/(-12). Put -2/3, n, r in ascending order.
n, -2/3, r
Let n = 29.9 + -35.82. Let l = 6 + n. Let r = -20.4 - -15.4. Put 1, l, r in descending order.
1, l, r
Let s be ((-7)/((-7)/(-6)))/(6/3). Let x(k) = 2*k**2 + 2*k - 4. Let j be x(s). Put j, -4, -2, 3 in descending order.
j, 3, -2, -4
Let p(i) = i + 6. Let q be p(-6). Suppose -5*w - x = -19, -8*x + 6 = 2*w - 6*x. Let c be 2/(-4)*-2 + 2. Put c, w, q in descending order.
w, c, q
Let b = -12.81 - 0.19. Let g = b - -17. Let t = 9.8 - 10. Sort g, -0.1, t in increasing order.
t, -0.1, g
Let h(v) = -16*v**2 - 12 - 11*v + 0 + 17*v**2. Let x be h(12). Sort 4, -5, x, 1 in increasing order.
-5, x, 1, 4
Suppose -5*c - 78 = -2*c. Let p = 24 + c. Put -1, p, 2, 4 in increasing order.
p, -1, 2, 4
Let a = -1/175 + 18/25. Put a, 0, 0.4 in decreasing order.
a, 0.4, 0
Suppose 8*a - 7*a - 18 = 0. Let n be (a/(-24))/(3/108*3). Put -2, n, -1 in decreasing order.
-1, -2, n
Let s = 2287.6 - 2288. Put 2, s, 21, -3 in increasing order.
-3, s, 2, 21
Let p be (-12)/9*63/14. Sort 2, p, 1 in ascending order.
p, 1, 2
Suppose 5*c + 2*c = -c. Sort c, -3, 6, -1 in decreasing order.
6, c, -1, -3
Let c(q) = -q**2 + 13*q - 4. Let x be c(13). Let r be x - -10 - 4 - -3. Let h = -1 + 5. Put h, -2, r in descending order.
r, h, -2
Let c = 868.1 + -867. Sort -2/7, c, -1.5, -4 in descending order.
c, -2/7, | {
"pile_set_name": "DM Mathematics"
} |
334/695?
True
Is 16032/19 <= 844?
True
Is 25485 less than 25485?
False
Which is greater: -38729 or -193639/5?
-193639/5
Which is bigger: -23677 or -23671?
-23671
Which is bigger: 1/1071850 or 1?
1
Is 4 at most as big as 1154759?
True
Which is smaller: 945/149 or 7?
945/149
Which is smaller: 91 or -75?
-75
Is -341 bigger than -250?
False
Is 445 > 459?
False
Is -0.19158 not equal to 52?
True
Which is smaller: 29 or 1514/55?
1514/55
Which is greater: 4 or 445/102?
445/102
Which is smaller: -41717 or -41732?
-41732
Which is smaller: -12/79 or 1310?
-12/79
Is 1567 at most as big as 216?
False
Which is smaller: 0 or -25/1372?
-25/1372
Which is smaller: 1/1436673 or 0?
0
Which is smaller: 13 or 9389/695?
13
Is 312880 greater than or equal to -2/7?
True
Which is smaller: 2 or 32197?
2
Which is smaller: -1/9 or 3010?
-1/9
Which is bigger: 2531 or 2115?
2531
Is 207960 bigger than 207964?
False
Which is bigger: -567037 or -567031?
-567031
Is 134 at least as big as -9524?
True
Which is smaller: -1 or -62/1529?
-1
Which is smaller: -11955 or -191259/16?
-11955
Which is bigger: 0 or 4/339221?
4/339221
Which is greater: -7493/41 or 0.1?
0.1
Which is smaller: -3 or -5790?
-5790
Which is bigger: 466842 or 466843?
466843
Which is smaller: -285 or -67837/237?
-67837/237
Is 12843 > 12844?
False
Is 7/967486 equal to 0?
False
Which is smaller: 354375 or 354376?
354375
Which is smaller: -121234/3 or -40410?
-121234/3
Are 0.4 and -343428 non-equal?
True
Is -0.012 > 49.5?
False
Which is smaller: 5406 or 200?
200
Which is smaller: 1525302 or -1?
-1
Which is smaller: -2/22676809 or 1?
-2/22676809
Which is greater: -1 or -1/1812930?
-1/1812930
Are -1/280895 and 1 equal?
False
Is 4 equal to 1117/225?
False
Are 654039 and 654040 unequal?
True
Which is bigger: 116303 or 13?
116303
Is -17/2 smaller than 9635?
True
Which is smaller: 83 or 9354/113?
9354/113
Which is bigger: -174 or -3295/19?
-3295/19
Which is smaller: 1 or -4010592?
-4010592
Is 500 at most as big as 5484/11?
False
Which is smaller: -0.15316 or -18?
-18
Is 52718 smaller than 52719?
True
Is -3 at least as big as 87789?
False
Are 653 and 698 non-equal?
True
Which is bigger: 2/3 or 8304?
8304
Which is bigger: -26373 or -26428?
-26373
Is 8098 greater than 8112?
False
Which is smaller: -45551 or -45521?
-45551
Are -1477 and -2/55 nonequal?
True
Which is greater: 1 or 254/3655?
1
Which is smaller: 216 or 339?
216
Which is bigger: 12530 or 12529?
12530
Which is greater: 5875 or 0.4?
5875
Is -34 at most as big as -2954/87?
True
Which is bigger: 1 or -1/161786?
1
Which is smaller: -692641 or -1/3?
-692641
Which is bigger: 1 or 40/15379?
1
Is -2117/281 at most -7?
True
Which is smaller: 0.3 or -1/7634?
-1/7634
Which is smaller: 43 or 11404/263?
43
Are 0 and 33/27217 unequal?
True
Which is greater: -95 or 1839?
1839
Which is bigger: 40/6717 or 1?
1
Which is smaller: 21/2 or 172/37?
172/37
Is -2 smaller than -238.4?
False
Is -10 at least as big as -14399?
True
Which is bigger: 18 or 2182/129?
18
Which is bigger: -944078 or 0?
0
Are -1 and -10/196909 equal?
False
Which is greater: 3204 or 2868?
3204
Which is bigger: 19067 or 19066?
19067
Is -1/1335268 != 1?
True
Is 4933/29 < 171?
True
Is -2/25 != 135.39?
True
Which is greater: -9414 or -5?
-5
Which is smaller: -1/3 or -5970?
-5970
Which is greater: 24 or -12128?
24
Are 336 and -313 nonequal?
True
Is 8315 not equal to 8313?
True
Is -481879 less than -481878?
True
Which is smaller: 23/127331 or 1?
23/127331
Is 179 <= 66.1?
False
Which is greater: -646 or -308?
-308
Which is greater: 4218/29 or 144?
4218/29
Which is smaller: 80005 or 80004?
80004
Which is smaller: 442/2305 or 0?
0
Which is greater: 256/19 or -10/7?
256/19
Is 252362 equal to 252363?
False
Is 140748 bigger than 1548226/11?
True
Which is smaller: -2072 or -2071?
-2072
Is -1/2000029 at most as big as -1?
False
Is 216368 smaller than 216366?
False
Is -63940 at least as big as -63966?
True
Do 210 and -262 have the same value?
False
Which is greater: 10/37869 or 0?
10/37869
Which is smaller: 1577/30 or 54?
1577/30
Is 33426 less than 33426?
False
Do -5446 and -5465 have different values?
True
Is 182 > 9632/53?
True
Are 0.451866 and 0.1 equal?
False
Are -2/7 and 8/8775 non-equal?
True
Is 110/29 >= 2/3?
True
Is -564 smaller than -26?
True
Is 7731131 at least as big as 7731131?
True
Is 153/1285 equal to -1?
False
Is 1 greater than or equal to 924/4141?
True
Which is smaller: -1626 or -1854?
-1854
Is -1 less than -2/973475?
True
Which is smaller: 39060 or 39064?
39060
Is -5425 > -65087/12?
False
Which is greater: 2/47 or -1.4?
2/47
Which is smaller: 4 or 2105/722?
2105/722
Are 3886 and 0.6 equal?
False
Which is smaller: -47109 or 0?
-47109
Which is bigger: -6510 or -6572?
-6510
Which is bigger: -3372 or -3446?
-3372
Is -519261 less than or equal to -519260?
True
Is -1 at least as big as 123/2278?
False
Is 0 bigger than 393/2461?
False
Is 5771 at most as big as 5767?
False
Is 1 < -2/716043?
False
Does -1435 = 1/2?
False
Which is bigger: 3273 or 88379/27?
88379/27
Which is bigger: -112 or 0.368?
0.368
Which is smaller: 6012 or 24049/4?
6012
Which is bigger: 23946 or 23960?
23960
Does 0 = 5670?
False
Which is smaller: -1321 or -1342?
-1342
Which is bigger: 18300 or 2?
18300
Do 1 and -12/29821 have the same value?
False
Which is smaller: 8.2 or -2055?
-2055
Which is smaller: -26 or -1258.52?
-1258.52
Which is greater: -1695 or 444?
444
Is 24080 at least -1?
True
Are -12221 and 1 equal?
False
Which is smaller: 142 or 182?
142
Is 17778/35 not equal to 507?
True
Which is bigger: 47621 or 47622?
47622
Which is bigger: -555926 or -555927?
-555926
Which is smaller: 3 or 611/165?
3
Is 0.1 < -170429?
False
Is -7977 at least as big as -1/59?
False
Which is smaller: 4/5 or -2/237?
-2/237
Is 9761 > 107370/11?
True
Which is smaller: -0.3 or 1487?
-0.3
Which is bigger: 10 or 41821?
41821
Are 4664 and 4680 nonequal?
True
Which is greater: 1/17898 or -1?
1/17898
Which is greater: 14124 or -0.1?
14124
Is -7332 <= -7321?
True
Is -6/30389 equal to 0.1?
False
Which is smaller: -3.23 or 2/3?
-3.23
Which is smaller: 9/3646 or -1?
-1
Which is smaller: 6489 or 6488?
6488
Which is smaller: -6/97795 or -1?
-1
Which is bigger: -70747 or -70780?
-70747
Which is bigger: 62780 or 62779?
62780
Do 78898 and -13 have different values?
True
Does 24 = 2166/91?
False
Which is greater: -3737 or -3701?
-3701
Which is smaller: -198/5359 or -1?
-1
Is 347681 != 347682?
True
Which is smaller: -36930 or -36920?
-36930
Which is smaller: 353 or 8579?
353
Which is smaller: 23/6824 or -1?
-1
Which is smaller: -5/36366 or 1?
-5/36366
Is 4928.14 greater than or equal to -0.1?
True
Is 242046 > 242050?
False
Which is smaller: -0.37 or 0.1155?
-0.37
Which is smaller: 0 or 109/2214?
0
Are 43/46991 and 0 non-equal?
True
Is 127229 less than 890608/7?
True
Which is smaller: 0 or 8/100985?
0
Is 0.1 <= -215?
False
Which is smaller: -71 or 29970?
-71
Is 1 less than 9360?
True
Which is bigger: 7748 or -3/5?
7748
Is -894/13273 equal to 1?
False
Is -34 at least as big as -0.041676?
False
Is -1/6 greater than -446761?
True
Which is smaller: 6288 or 6286?
6286
Which is greater: -40/327 or 0?
0
Which is greater: 5165 or -0.1?
5165
Is -3470 at most -3225?
True
Does 0.2 = 16038?
False
Which is smaller: -19 or 132031?
-19
Which is smaller: -54425 or -54449?
-54449
Which is smaller: 140 or -5650?
-5650
Is -12286 equal to -2.2?
False
Which is greater: 23099/9 or 2567?
2567
Which is bigger: 41517 or 41521?
41521
Is -39 not equal to 686?
True
Is -15/218842 > 0?
False
Which is smaller: 2/7 or -3568344?
-3568344
Is 39/775 < 1/8?
True
Is -1 less than -800/29059?
True
Is 66 at most as big as 1241?
True
Is 7559 < 68033/9?
True
Is -16 < 511/17?
True
Do 6030 and 146 have different values?
True
Which is smaller: -1388 or -1120?
-1388
Do 11189 and 11189 have the same value?
True
Is 4 >= 891/322?
True
Which is smaller: 1577 or 19/6?
19/6
Is 2216 greater than or equal to 2205?
True
Which is greater: 1946 or -71?
1946
Is 3/5 < 152.4?
True
Is -120327 greater than or equal to -120328?
True
Is -1687 greater than or equal to -33711/20?
False
Is 68120 smaller than 2/9?
False
Which is bigger: -1 or -853/560?
-1
Is 0 != 4.19036?
True
Which is bigger: 1/2 or 12.10483?
12.10483
Is -6181 smaller than -1/18?
Tru | {
"pile_set_name": "DM Mathematics"
} |
+ 8*o**2 - 8*o + 4. Let l = -683 - -689. Calculate z(l).
28
Let o(j) = 7*j**3 - 5*j**2 + 6*j - 3. Let a(z) = 2*z**3 + z - 2. Let q(n) = -3*a(n) + o(n). Give q(5).
18
Let d(m) be the first derivative of m**3 - 3*m**2 + 2*m + 9. Let g(p) = -4*p**2 + 6*p - 3. Let a(i) = -3*d(i) - 2*g(i). Give a(6).
0
Let n(f) = 7*f - 5. Let v(x) = x - 1. Suppose 0 = -2*d - l - 7, 57 = -5*d + 3*l + 12. Let h(b) = d*v(b) + n(b). Determine h(-2).
-1
Let c be (-5694)/143 + 4/(-22). Let j = 33 + c. Let h(a) = 3*a**2 - 5*a + 5. Let r(o) = 2*o**2 - 2*o + 2. Let n(b) = -3*h(b) + 5*r(b). Calculate n(j).
9
Let r(k) be the first derivative of 3*k**2/2 + 24*k + 492. Determine r(-7).
3
Let y(f) = -951*f + 2*f**2 + 963*f + 37 - 42. Determine y(-9).
49
Suppose -4*d - 10 = -5*v, 2*d = -5*v + 5*d + 15. Let w(b) = 2*b**2 - 8*b - 3. What is w(v)?
21
Let i(o) = 2*o. Let c(p) = -8*p + 3. Let m(l) = c(l) + 6*i(l). Let f be 90/27*6/(-5). Calculate m(f).
-13
Let l(f) be the third derivative of 0*f + 0 + 1/24*f**4 + 5*f**2 - 5/6*f**3 + 1/12*f**5. Let j(g) be the first derivative of l(g). Determine j(-1).
-9
Let u be (2/1)/(18/81). Suppose 9*t = 8*t + u. Suppose 0 = -12*z + t*z. Let v(w) = w**2 - 11. Determine v(z).
-11
Suppose 1 = -u - 4*p + 3, u + 2*p + 2 = 0. Suppose 81 = 8*r + r. Let b(x) = 5*x - r - 6 + 9 + 0 + x**2. Determine b(u).
0
Let j(z) = -3*z + 3*z - 4 - 191*z**3 + 190*z**3. Suppose 0*l = -l - 9. Let v be (-2)/l - (-4)/(-18). Determine j(v).
-4
Let u(s) = -s + 10. Let l be (6 + -7)*2/4*-14. Suppose l = -3*o + 28. Determine u(o).
3
Suppose -4*y + 6 = -2*z, -y + 5 = -5*z + z. Let p(v) = -v**2 - 2*v + 4 + y - 4. Let m be -5 + (-1)/(1 - 2). Calculate p(m).
-7
Let q(t) = -t**3 - 4*t**2 - 4*t - 2. Let m(w) = w**2 - 2*w - 4. Let u be m(5). Let l be 0 - -3*(u - 4). Let p = -24 + l. Determine q(p).
1
Let z(d) = 7*d + 4. Let a(f) = 13*f + 8. Suppose -8*w + 24 = -64. Let q(l) = w*z(l) - 6*a(l). Calculate q(-6).
2
Let q(o) be the first derivative of o**4/2 + 2*o**3 + 3*o**2/2 + o - 2. Let y(j) = -3*j**3 - 12*j**2 - 5*j - 2. Let l(u) = -5*q(u) - 3*y(u). Determine l(6).
1
Let x(b) be the first derivative of b**6/60 - b**5/30 + b**4/8 - b**3/6 + 9*b**2/2 - 9. Let u(i) be the second derivative of x(i). What is u(2)?
13
Let z(h) be the second derivative of -1/10*h**5 - 1/2*h**3 + 1/2*h**2 + 0 + 1/4*h**4 - 12*h. Determine z(2).
-9
Let s be (-78 + 19)*(0 - 1). Let f(b) = -s*b - 55*b + 117*b. Calculate f(-2).
-6
Let q(b) be the third derivative of 0 + 1/60*b**5 - 1/8*b**4 + 4*b**2 + 0*b**3 + 0*b. Calculate q(4).
4
Let b(s) = 1403*s + s**3 + 2*s**2 - 7 + 4*s**2 - 1404*s. Determine b(-6).
-1
Let b(j) = -j**3 + 11*j**2 + 54*j - 8 - 19*j + 0 - 23*j - 22*j. What is b(10)?
-8
Let l(b) = -9*b - 2. Let p be l(-3). Suppose -5*c + 0*c = -p. Let n(j) = -j**3 + 6*j**2 - 2*j - 12. Let m be n(c). Let t(d) = d**2 - d + 4. Give t(m).
10
Let s(r) be the first derivative of -r**2 - 9*r + 9. Let g be s(-4). Let v(f) be the third derivative of -f**4/6 - f**2. Calculate v(g).
4
Let a(t) = -3*t**2 - 3*t - 2. Let c = -48 - -47. Give a(c).
-2
Let m(o) be the second derivative of o**5/20 - o**4/3 - 7*o**3/6 + 6*o**2 + 10*o + 1. Determine m(5).
2
Let b(h) = 3*h + 1. Suppose -2*i = 2*w + 6, 0 = -4*i - w - 0 - 3. Let o = -35 - -39. Suppose -n + 3 = -6*n - 3*l, -o*n + l - 16 = i. Calculate b(n).
-8
Let l(n) = -4*n**3 - n - 6. Let z(y) = y**3 + y**2 + 1. Let b(p) = -l(p) - 5*z(p). Calculate b(-5).
-4
Let x(l) = l**2 + 10*l + 2. Let v be -8*1/7*7. Calculate x(v).
-14
Let z(g) be the first derivative of g**5/20 + g**4/12 - g**3/6 + 23*g**2/2 + 38*g - 22. Let q(k) be the first derivative of z(k). What is q(0)?
23
Let q(y) = -1. Let r(m) be the first derivative of -6*m**2 - 19. Let x(w) = q(w) - r(w). Give x(1).
11
Let q(x) = 2*x**2 - x - 11. Let d be q(-4). Let n(c) = 19*c**2 - 4 + d*c**2 - 7*c - 45*c**2. Calculate n(-4).
8
Let h(q) = 7 - 38*q + 16*q + 20*q - q**3 + 6*q**2. Let c(d) = -d**2 - 5*d + 2. Let n be c(-4). Calculate h(n).
-5
Let a(h) = -13*h**3 - 8*h**2 - h - 8. Let p(i) = -2*i**3 - i**2 - i - 2. Let c(l) = a(l) - 6*p(l). Give c(-4).
16
Let a(o) = -o**3 + o**2 - o - 2. Suppose 3*g + 15 = -v, 2*v - 17 = 5*g + v. Suppose -2*x = j - 6*x - 10, 0 = 2*j - 3*x. Let q = g - j. Determine a(q).
-8
Let h(t) = 53*t + 25. Let a(y) = -2*y - 4. Let i(m) = -6*a(m) - h(m). Calculate i(-1).
40
Let g(j) = 5*j**3 - 13*j**2 + 12*j + 7. Let c(x) = 6*x**3 - 14*x**2 + 14*x + 7. Let v(t) = 6*c(t) - 7*g(t). What is v(-7)?
-7
Let l(d) = -11*d**2 - 16*d - 29. Let o = -59 - -46. Let q(y) = 5*y**2 + 8*y + 14. Let u(g) = o*q(g) - 6*l(g). Calculate u(8).
-8
Let g(n) = -n - 3. Let b be 7/((-28)/(-8)) - -6. Let z be b/(-52) - (-54)/13. Suppose 8 = -z*c - 4. Calculate g(c).
0
Let m(z) = 2*z - 2. Suppose 6 = -5*h + 7*h. Suppose -2*i + 1 = -h*j, -5*i - 2*j = j + 50. Give m(i).
-16
Let g(r) be the third derivative of -1/6*r**4 + 9*r**2 + 0*r + 0 + 7/6*r**3. Calculate g(6).
-17
Suppose -2 = 5*i - 12. Suppose 3*s - i*r + 21 = -0*s, 4*s + 5*r + 51 = 0. Let m(w) = -w**3 - 9*w**2 - w - 5. What is m(s)?
4
Suppose 0 = 2*t + 2*g + 3*g - 17, -3*t + 4*g = -14. Let y(s) = -5*s**2 + 10*s - s**3 + 4 - 14*s + t*s. Calculate y(-5).
-6
Let z(a) be the second derivative of -a**3/2 - 5*a**2 - 130*a. Calculate z(-4).
2
Suppose -6 = -0*j - 3*j. Let d(w) be the first derivative of w**4/4 - w**3/3 + w**2/2 + w + 124. Determine d(j).
7
Let m(w) be the third derivative of -w**5/30 - 7*w**4/24 - 5*w**3/6 + 4*w**2 + 28. What is m(-4)?
-9
Let w(i) = i**3 + 8*i**2 - 8*i - 4. Let s(b) = b**2. Let u be (-10 - -1)*1/3. Let k(v) = u*s(v) + w(v). What is k(-6)?
8
Let h(n) = n**2 + 5*n. Suppose 4*i + 114 = -22. Let s = i + 31. Let a be h(s). Let c(y) = -2*y + 2. What is c(a)?
14
Let x(o) = o**2 - 4*o + 5. Suppose 16 = 5*a - 4. Let h be x(a). Let y(f) be the third derivative of f**4/12 + f**3/6 - 5*f**2. What is y(h)?
11
Let q(h) = h**2 + h - 8. Let n = 5 + -8. Let b be ((-3)/(-4))/(55/20 + -3). Let v be 2 + (n - (b - -2)). What is q(v)?
-8
Let q be (330/385)/((-4)/(-14)). Let r(d) = -d**3 + 3*d**2 + 2*d + 1. Give r(q).
7
Let s(q) = -q**2 - 7*q + 2. Let r be s(-7). Let g(a) = -r + 3*a**2 - 4*a**2 + 10*a - 6. Calculate g(8).
8
Let f(m) = 3*m + 1. Suppose 3*v = 6*v - 135. Let p(w) = -43 + 2*w + 3*w + v. Let n(l) = 8*f(l) - 5*p(l). What is n(-6)?
4
Let m(j) = -10 + 3 + 6 + 2*j**2 + 0*j + 2*j. Calculate m(2).
11
Let v(k) = -3*k - 3. Let u = -44 + -12. Suppose 2*i = -2*i - 80. Let f be u/i - (-2)/10. Calculate v(f).
-12
Let c(a) = a**2 - 7*a + 7. Suppose 5*y = -5*n + 30, -2*n - 4 - 5 = -5*y. Suppose 5 + 1 = y*f. Let u be f/(-6)*(-23 - -5). Calculate c(u).
1
Let z(k) = k**2 - 3*k - 1. Let r = -6 - -8. Let j be z(r). Let v(q) = q - 1. Let x(y) = y**2 + y + 6. Let b(m) = -4*v(m) - x(m). Give b(j).
4
Let f(y) = 2*y**2 - 3*y. Suppose -2*k = -5*s + 7, -4*k - 8 = -4*s - 0*s. Let t be (-2 - s) + (7 - 2). Determine f(t).
2
Let p(k) = 3*k - 66. Let l be p(23). Suppose 0 = 10*b - l*b - 49. Let y(r) = -r**2 + 5*r + 7. What is y(b)?
-7
Let f(b) = -b**3 - 9*b**2 + 11*b + 12. Let u be f(-10). Let x(h) = 2*h**u - 6 + 1086*h**3 - h - 10*h**2 - 1087*h**3. What is x(-8)?
2
Suppose 0 = 5*d + 4*b + 28, -2*d + 9*b = 4*b + 31. Let p(x) = x - 12. Give p(d).
-20
Let h(x) be the third derivative of x**4/12 - 5*x**3/6 + 64*x**2 + x. Calculate h(-5).
-15
Let h(t) be the first derivative of -t**4/12 - 2*t**3/3 + t**2 - 13*t - 10. Let u(f) be the first derivative of h(f). What is u(-5)?
-3
Let x = 7 - -15. Let u be (0 - 2)/((-11)/(x/(-4))). Let n(k) = k**3 + 2*k**2 - k - 1. Determine n(u).
1
Let q(z) = -z**3 + z**2 - z + 1. Let k(s) = -3*s**3 + 4*s**2 + 2*s + 4. Let p(b) = -k(b) + 2*q(b). Let n(u) = -u + 8 + 0*u - 4. Let f be n(6). What is p(f)?
-10
Let s(l) = l**3 + 4*l**2 + l - 2. Let h(g) = -2*g**2. Let u be h(1). Let d be s(u). Let a(t) = -59*t**2 + 1 + 5 - 5*t + 60*t**2. Determine a(d).
2
Let q = 42 + -42. Let m(z) = 4*z - 7*z + 3 + 4*z. Determine m(q).
3
Let i(o) = -3*o**2 + 1. Let h be i(1). Let b be h/(-5) + 8/(-20). Let j(k) be the second derivative of k**5/20 + k**3/6 - 9*k**2/2 - 94*k - 2. Determine j(b).
-9
Let v(i) = -16*i**2 - 20*i - 31. Let a(k) = -3*k**2 - 4*k - 6. Let d(w) = -11*a(w) + 2*v(w). What is d(-4)?
4
Let s(g) = -7*g**2 - 7*g + 7. Let a(l) = 15*l**2 + 14*l - 15. Let i = 1 - 7. Let y = 21 + - | {
"pile_set_name": "DM Mathematics"
} |
-4*l
Collect the terms in -4*t + 3*t - 47282 - t + 47315.
-2*t + 33
Collect the terms in -11*x**2 - 2178*x**3 + 11*x**2.
-2178*x**3
Collect the terms in -611*t + 1655*t - 648*t.
396*t
Collect the terms in -365*x**2 + 24*x + 16*x - 40*x + 39*x**2.
-326*x**2
Collect the terms in -2 + 272*q**2 + 383*q**2 - 674*q**2.
-19*q**2 - 2
Collect the terms in -103*v + 6 - 7 + 118*v.
15*v - 1
Collect the terms in -3979 - 4*p + 12081 - 4052 - 4050.
-4*p
Collect the terms in -78*c**3 - 131*c**3 - 259*c**3.
-468*c**3
Collect the terms in -2628*y + 0 + 0 - 1683*y.
-4311*y
Collect the terms in -537*j + 157*j + 160*j + 218*j + 4 - 4.
-2*j
Collect the terms in 3 - 7 + 279*i - 279*i - 26*i**2.
-26*i**2 - 4
Collect the terms in 601*h + h**3 + 600*h + 599*h - 1800*h.
h**3
Collect the terms in -428*h**2 - 669*h**2 + 62*h**2 + 63*h**2 - 236*h**2.
-1208*h**2
Collect the terms in -14 - 335*t + 8 + 6.
-335*t
Collect the terms in 423*i**2 - 126*i**2 - 300*i**2 - 16*i.
-3*i**2 - 16*i
Collect the terms in 5*g + 65*g - 5*g + 6*g - 12*g.
59*g
Collect the terms in 21*j**2 - 241 + 38 + 97 + 106.
21*j**2
Collect the terms in 4*l**2 + l + 0*l**2 + 0*l**2 - 2*l**2 + l.
2*l**2 + 2*l
Collect the terms in -5*t + 18*t + 5361*t**3 - 13*t.
5361*t**3
Collect the terms in -5*r - 6*r + 2 - 7*r + 7*r - 4*r.
-15*r + 2
Collect the terms in -29*m**2 - 4*m - 100*m**2 - 138*m**2 + 4*m.
-267*m**2
Collect the terms in -8395*w**3 - 8401*w**3 + 16795*w**3.
-w**3
Collect the terms in -22*f**2 - 46*f**2 - 230*f**2 - 420*f**2 - 484*f**2.
-1202*f**2
Collect the terms in 3*z - 2*z - 8*z**3 + 8*z**3 + 9*z**3.
9*z**3 + z
Collect the terms in -6*o**2 - 11*o**2 + 24*o**2 - 6*o**2 - 63*o.
o**2 - 63*o
Collect the terms in -36*k - 17*k + 77*k - 24*k - 13*k**2.
-13*k**2
Collect the terms in 5*s**3 - 1596414*s**2 + 1596414*s**2.
5*s**3
Collect the terms in -104816*k + 104816*k + 2*k**3.
2*k**3
Collect the terms in 5*j**2 + 1817839*j - 1817839*j - 4*j**2 + 71.
j**2 + 71
Collect the terms in 1748561*g**2 + 1 - 5 + 4 - 1748566*g**2.
-5*g**2
Collect the terms in 14*y - 8*y + 2354 - 123*y - 2354.
-117*y
Collect the terms in 18*y - 125*y + 3*y**2 - 21*y**2 + 18*y + 87*y.
-18*y**2 - 2*y
Collect the terms in 35822*u + 95785*u - 4 + 5.
131607*u + 1
Collect the terms in 0 + 48*q**3 + 31*q**3 + 31*q**3 + 0 - 108*q**3.
2*q**3
Collect the terms in -197 - 189 - 1079102*z + 1079101*z.
-z - 386
Collect the terms in -972*m**2 - 15753*m + 15753*m + 965*m**2.
-7*m**2
Collect the terms in -101*a - 1027*a**3 + 101*a + 1.
-1027*a**3 + 1
Collect the terms in 24*j**2 - 3416*j**3 - 16*j**2 - 8*j**2.
-3416*j**3
Collect the terms in 2*f**2 - 10460*f - 2*f**2 + 10460*f - 46*f**3.
-46*f**3
Collect the terms in -243468*c - 186736*c + 29376*c.
-400828*c
Collect the terms in 112*p + 29*p + 53*p.
194*p
Collect the terms in d**2 - 6676 + 6676 - 10*d.
d**2 - 10*d
Collect the terms in 5*o**2 - 297*o + o**2 - 14*o**3 - 6*o**2.
-14*o**3 - 297*o
Collect the terms in -363*h**2 + 49*h**2 + 1 + 388*h**2.
74*h**2 + 1
Collect the terms in -106*m**3 - 96*m**3 - 99*m**3 + 307*m**3 - 54.
6*m**3 - 54
Collect the terms in 17*a**3 + 5*a**3 + 24*a**3 - 14*a**3 + 9*a**3.
41*a**3
Collect the terms in -2797*b**3 + 1400*b**3 + 1393*b**3.
-4*b**3
Collect the terms in 2633*y + 4*y**2 - 2575*y - 58*y.
4*y**2
Collect the terms in -3*h**2 - 22*h**2 + 30*h**2 + 8*h**2.
13*h**2
Collect the terms in 5*r**3 - 24 - 8*r**3 + 46 - 19*r**3 - 22.
-22*r**3
Collect the terms in -28*p**3 + 36*p**3 - 648580*p**2 - 2 + 648580*p**2 + 2.
8*p**3
Collect the terms in 15*v**2 + 32 - 2*v**2 - 23*v**2 - 32 + 12*v**2.
2*v**2
Collect the terms in -165*b**3 - 229*b**3 - 308*b**3.
-702*b**3
Collect the terms in 65451*j + 46*j**2 - 13*j**2 - 5*j**2 - 65451*j.
28*j**2
Collect the terms in 23*c**3 - 87*c**3 + 317*c**3 + 11*c**3 - 11*c**3.
253*c**3
Collect the terms in 233 - 3*b - 123 - 2*b**2 - 5*b - 110.
-2*b**2 - 8*b
Collect the terms in -3 - 29 - 36 + 68 - 28*l.
-28*l
Collect the terms in 257*y - 462*y + 1913*y + 3198*y.
4906*y
Collect the terms in -343*v**3 + 151*v**3 + 47*v**3 + 144*v**3.
-v**3
Collect the terms in -2 + 268*z**3 + 2 + 265*z**3 + 266*z**3 - 800*z**3.
-z**3
Collect the terms in -131415 + n + 131415 - 2*n.
-n
Collect the terms in 160*u + 1 - 86*u - 74*u - 17*u**3 + 1.
-17*u**3 + 2
Collect the terms in 79*h - 285*h + 83*h + 99*h.
-24*h
Collect the terms in -14650910*m**3 + 14650906*m**3 + 44 - 44.
-4*m**3
Collect the terms in -1409*s**3 + 2821*s**3 - 1404*s**3.
8*s**3
Collect the terms in -11 + 12 - 259*f**2 + 383*f**2.
124*f**2 + 1
Collect the terms in -1339*g - 1333*g + 7*g**2 + 2672*g.
7*g**2
Collect the terms in -2 - 281*b**2 + 238*b**2 - 9 + b - b.
-43*b**2 - 11
Collect the terms in 3201*i - i**2 + 3235*i + 3243*i - 9679*i.
-i**2
Collect the terms in 21 + 49*d**3 - 51*d**3 + 2.
-2*d**3 + 23
Collect the terms in -158*c - 2 + 65*c - 131*c + 2.
-224*c
Collect the terms in 339 - 145 - 4*l**2 - 194 + 6*l**2.
2*l**2
Collect the terms in -946 + 8962*h**2 - 945 + 1891.
8962*h**2
Collect the terms in 34*q - 41*q + 6 - 11*q + 25*q - 1.
7*q + 5
Collect the terms in -23*w**3 + 227*w**3 + 13*w**3.
217*w**3
Collect the terms in 58 - 33 - 25 - 9*c - 7*c.
-16*c
Collect the terms in 57*l**2 - 73431922 + 3*l - 3*l + 73431922.
57*l**2
Collect the terms in -2301*y**3 - 186*y**3 - 2087*y**3.
-4574*y**3
Collect the terms in 8*j**3 + 29 + 0*j**3 - 3*j**3.
5*j**3 + 29
Collect the terms in -214 - 219 + 433 + 280*s.
280*s
Collect the terms in 347*j**3 + 0*j - 3*j**2 + 0*j**2 - 2*j.
347*j**3 - 3*j**2 - 2*j
Collect the terms in 3 + 24 - 22 - 109*b - 2 - 5.
-109*b - 2
Collect the terms in 19*r**3 - 8*r**2 + 4*r**2 + 0*r**2 + 61 + 3*r**2.
19*r**3 - r**2 + 61
Collect the terms in -5*y**3 + 2997*y**2 + 13*y**3 - 4*y**3 + y**3 - 1.
5*y**3 + 2997*y**2 - 1
Collect the terms in 6 - 6 + 0 + 41*b**2.
41*b**2
Collect the terms in 979*j + 260*j - 32 + 32.
1239*j
Collect the terms in 15068891 - 15068891 - 35*c.
-35*c
Collect the terms in -6 - 619*f**2 + 17 - 11 + 310*f**2 + 312*f**2.
3*f**2
Collect the terms in -49*d**3 - 30*d**3 - 125*d**3 - 393*d**3.
-597*d**3
Collect the terms in -13899 + 13899 - 20*u.
-20*u
Collect the terms in -5*z + 5*z - 75750*z**3 - 35330*z**3.
-111080*z**3
Collect the terms in 2*m + 14*m**3 + 3*m**2 + 35*m**3 - 46*m.
49*m**3 + 3*m**2 - 44*m
Collect the terms in -25 + 16*r**2 - 12*r**3 - 40*r**2 + 24*r**2.
-12*r**3 - 25
Collect the terms in 23711*c - 47425*c + 23720*c.
6*c
Collect the terms in 9*w**2 - 8*w**2 - 3*w - 2*w - 6*w**2 + 2*w.
-5*w**2 - 3*w
Collect the terms in -244*x**3 - 3*x**3 - 10*x**3 - x**2.
-257*x**3 - x**2
Collect the terms in -7*c**2 + 25005*c + 1 + 5*c**2 + 0 - 2.
-2*c**2 + 25005*c - 1
Collect the terms in -10 + 1730*k**3 + 1761*k**3 - 3542*k**3 + 10.
-51*k**3
Collect the terms in 3*b**2 + 1 + 8958752*b - 1 - 17917536*b + 8958784*b.
3*b**2
Collect the terms in -72377289958*m + 72377289958*m + 4*m**2 + 3*m**2.
7*m**2
Collect the terms in -2*u - 2187 + 1005 + 1182.
-2*u
Collect the terms in -336*r - 298*r + 51*r - 867*r.
-1450*r
Collect the terms in 132*v - 1744*v - 1245*v - 1232*v.
-4089*v
Collect the terms in 3 + 7 + 266*s - 1 - 5.
266*s + 4
Collect the terms in -61*x - 44*x - 4*x - 8*x.
-117*x
Collect the terms in 52*b - 18 - 43 - 2 - 62*b.
-10*b - 63
Collect the terms in m - 4 - m + 4019*m**2 - 3483*m**2.
536*m**2 - 4
Collect the terms in 349 - 349 + 544*b**2.
544*b**2
Collect the terms in 61*k**3 - 45*k + 6*k**3 + 20*k**3.
87*k**3 - 45*k
Collect the terms in 28 - 28 + 755*m.
755*m
Collect the terms in -2544 - 2586 + 13*r**2 + 5130.
13*r**2
Collect the terms in -861*t**3 - 67*t**2 + 853*t**3 + 67*t**2.
-8*t**3
Collect the terms in 725 + x + 330 - 545.
x + 510
Collect the terms in 118*j + 87*j - 389*j + 92*j + 6*j**2 + 92*j.
6*j**2
Collect the terms in 2*z**3 + 203*z**3 + 226*z**3 - 104*z**3.
327*z**3
Collect the terms in -4098*x + 7496*x - 4784*x.
-1386*x
Collect the terms in 42*b + 3*b - 56*b.
-11*b
Collect the terms in 39*i + 40*i - 126*i + 68*i.
21*i
Collect the terms in -6760*k**3 + k + 2349*k**3 - 30608*k**3 - 3*k.
-35019*k**3 - 2*k
Collect the terms in 3*h - 106 - 96 + 202 + 11*h.
14*h
Collect the terms in 7 + 14 - 9 - 20 + 26*z**2 + 16.
26*z**2 + 8
Collect the terms in 888104 - 888104 - 10*r**3.
-10*r**3
Collect the terms in -56 - 192 + 4*u + 248.
4*u
Collect | {
"pile_set_name": "DM Mathematics"
} |
rs of 1723.
1723
What are the prime factors of 229?
229
What are the prime factors of 32778?
2, 3, 607
List the prime factors of 5.
5
What are the prime factors of 2059?
29, 71
List the prime factors of 239.
239
List the prime factors of 20519.
17, 71
List the prime factors of 3369.
3, 1123
What are the prime factors of 2230?
2, 5, 223
What are the prime factors of 1648?
2, 103
List the prime factors of 128151.
3, 29, 491
List the prime factors of 11394.
2, 3, 211
What are the prime factors of 4944?
2, 3, 103
What are the prime factors of 1482?
2, 3, 13, 19
List the prime factors of 824.
2, 103
List the prime factors of 28048.
2, 1753
What are the prime factors of 12151?
29, 419
List the prime factors of 1651.
13, 127
List the prime factors of 119164.
2, 31
List the prime factors of 13060.
2, 5, 653
What are the prime factors of 720?
2, 3, 5
What are the prime factors of 9188?
2, 2297
What are the prime factors of 3957?
3, 1319
List the prime factors of 27969.
3, 9323
List the prime factors of 26396.
2, 6599
List the prime factors of 53302.
2, 29, 919
List the prime factors of 120587.
120587
What are the prime factors of 49?
7
List the prime factors of 581.
7, 83
What are the prime factors of 6909?
3, 7, 47
List the prime factors of 144.
2, 3
What are the prime factors of 10908?
2, 3, 101
List the prime factors of 56570.
2, 5, 5657
What are the prime factors of 65593?
11, 67, 89
List the prime factors of 3850.
2, 5, 7, 11
List the prime factors of 981.
3, 109
List the prime factors of 582.
2, 3, 97
What are the prime factors of 5658?
2, 3, 23, 41
List the prime factors of 1241.
17, 73
What are the prime factors of 12404?
2, 7, 443
List the prime factors of 1359.
3, 151
What are the prime factors of 10480?
2, 5, 131
List the prime factors of 608.
2, 19
List the prime factors of 23417.
23417
List the prime factors of 1569.
3, 523
List the prime factors of 301.
7, 43
List the prime factors of 50766.
2, 3, 8461
List the prime factors of 2286.
2, 3, 127
List the prime factors of 6474.
2, 3, 13, 83
List the prime factors of 16917.
3, 5639
What are the prime factors of 12013?
41, 293
What are the prime factors of 5310?
2, 3, 5, 59
What are the prime factors of 1950?
2, 3, 5, 13
What are the prime factors of 5224?
2, 653
What are the prime factors of 1505?
5, 7, 43
List the prime factors of 2200.
2, 5, 11
What are the prime factors of 57690?
2, 3, 5, 641
What are the prime factors of 137904?
2, 3, 13, 17
What are the prime factors of 5050?
2, 5, 101
What are the prime factors of 160?
2, 5
List the prime factors of 11962.
2, 5981
What are the prime factors of 131?
131
What are the prime factors of 8345?
5, 1669
List the prime factors of 1245.
3, 5, 83
List the prime factors of 106570.
2, 5, 10657
What are the prime factors of 16471?
7, 13, 181
List the prime factors of 63030.
2, 3, 5, 11, 191
What are the prime factors of 898?
2, 449
List the prime factors of 69725.
5, 2789
List the prime factors of 16504.
2, 2063
What are the prime factors of 6709?
6709
List the prime factors of 90661.
17, 5333
What are the prime factors of 11978?
2, 53, 113
What are the prime factors of 219?
3, 73
List the prime factors of 1200.
2, 3, 5
List the prime factors of 40781.
13, 3137
What are the prime factors of 3393?
3, 13, 29
What are the prime factors of 1311?
3, 19, 23
What are the prime factors of 4257?
3, 11, 43
What are the prime factors of 38502?
2, 3, 23, 31
What are the prime factors of 1601?
1601
List the prime factors of 923.
13, 71
What are the prime factors of 5828?
2, 31, 47
What are the prime factors of 10255?
5, 7, 293
What are the prime factors of 446?
2, 223
List the prime factors of 44040.
2, 3, 5, 367
What are the prime factors of 733?
733
What are the prime factors of 7107?
3, 23, 103
List the prime factors of 2531.
2531
What are the prime factors of 5431?
5431
What are the prime factors of 5181?
3, 11, 157
What are the prime factors of 2968?
2, 7, 53
List the prime factors of 209.
11, 19
What are the prime factors of 9268?
2, 7, 331
What are the prime factors of 4164?
2, 3, 347
List the prime factors of 56399.
7, 1151
What are the prime factors of 2899?
13, 223
What are the prime factors of 5394?
2, 3, 29, 31
List the prime factors of 1621.
1621
What are the prime factors of 38635?
5, 7727
List the prime factors of 11332.
2, 2833
List the prime factors of 6589.
11, 599
What are the prime factors of 34172?
2, 8543
What are the prime factors of 15146?
2, 7573
What are the prime factors of 286?
2, 11, 13
List the prime factors of 466.
2, 233
What are the prime factors of 67658?
2, 33829
List the prime factors of 80576.
2, 1259
List the prime factors of 927.
3, 103
What are the prime factors of 18333?
3, 7, 97
What are the prime factors of 2585?
5, 11, 47
What are the prime factors of 440?
2, 5, 11
What are the prime factors of 2112?
2, 3, 11
List the prime factors of 30493.
30493
List the prime factors of 3928.
2, 491
What are the prime factors of 44635?
5, 79, 113
What are the prime factors of 10107?
3, 1123
List the prime factors of 31431.
3, 10477
List the prime factors of 46616.
2, 5827
What are the prime factors of 1805?
5, 19
What are the prime factors of 31864?
2, 7, 569
What are the prime factors of 1535?
5, 307
List the prime factors of 6540.
2, 3, 5, 109
What are the prime factors of 112?
2, 7
What are the prime factors of 8408?
2, 1051
List the prime factors of 23131.
23131
List the prime factors of 9083.
31, 293
What are the prime factors of 1900?
2, 5, 19
List the prime factors of 230.
2, 5, 23
What are the prime factors of 46826?
2, 13, 1801
List the prime factors of 30415.
5, 7, 11, 79
List the prime factors of 19728.
2, 3, 137
What are the prime factors of 834?
2, 3, 139
List the prime factors of 1955.
5, 17, 23
List the prime factors of 733.
733
List the prime factors of 1878.
2, 3, 313
List the prime factors of 759.
3, 11, 23
What are the prime factors of 2036?
2, 509
List the prime factors of 49851.
3, 29, 191
List the prime factors of 150662.
2, 71, 1061
List the prime factors of 1350.
2, 3, 5
What are the prime factors of 29664?
2, 3, 103
What are the prime factors of 4305?
3, 5, 7, 41
List the prime factors of 1077.
3, 359
List the prime factors of 59403.
3, 19801
List the prime factors of 18312.
2, 3, 7, 109
List the prime factors of 43017.
3, 13, 1103
List the prime factors of 73570.
2, 5, 7, 1051
List the prime factors of 3083.
3083
List the prime factors of 13623.
3, 19, 239
List the prime factors of 995.
5, 199
List the prime factors of 20391.
3, 7, 971
What are the prime factors of 38?
2, 19
What are the prime factors of 16955?
5, 3391
List the prime factors of 10447.
31, 337
What are the prime factors of 103344?
2, 3, 2153
What are the prime factors of 725?
5, 29
List the prime factors of 20421.
3, 2269
What are the prime factors of 1500?
2, 3, 5
List the prime factors of 410.
2, 5, 41
List the prime factors of 303.
3, 101
What are the prime factors of 366?
2, 3, 61
What are the prime factors of 3547?
3547
List the prime factors of 957.
3, 11, 29
What are the prime factors of 18627?
3, 7, 887
List the prime factors of 3635.
5, 727
List the prime factors of 5275.
5, 211
What are the prime factors of 2455?
5, 491
List the prime factors of 11624.
2, 1453
List the prime factors of 12978.
2, 3, 7, 103
List the prime factors of 2794.
2, 11, 127
List the prime factors of 108587.
108587
What are the prime factors of 10751?
13, 827
What are the prime factors of 909?
3, 101
List the prime factors of 1228.
2, 307
List the prime factors of 633.
3, 211
What are the prime factors of 985?
5, 197
What are the prime factors of 6182?
2, 11, 281
What are the prime factors of 108933?
3, 11, 3301
What are the prime factors of 28251?
3, 43, 73
What are the prime factors of 2349?
3, 29
What are the prime factors of 132605?
5, 11, 2411
What are the prime factors of 4646?
2, 23, 101
What are the prime factors of 5796?
2, 3, 7, 23
List the prime factors of 4804.
2, 1201
What are the prime factors of 37660?
2, 5, 7, 269
What are the prime factors of 4167?
3, 463
List the prime factors of 679.
7, 97
What are the prime factors of 21195?
3, 5, 157
List the prime factors of 1385.
5, 277
List the prime factors of 22023.
3, 2447
List the prime factors | {
"pile_set_name": "DM Mathematics"
} |
15*p + 68. Give x(-8).
1036
Let d(k) = 981*k + 78486. Give d(-80).
6
Let b(z) = -394*z**2 + 182819*z - 1397. Determine b(464).
-5
Let l(w) = -24*w**3 - 84*w**2 + 101*w + 126. Give l(2).
-200
Let b(l) = 3*l**3 - 752*l**2 - 216*l - 8412. Give b(251).
373
Let p(a) = 22*a**2 - 107*a + 142. Give p(-6).
1576
Let z(b) = 46*b**2 - 509*b + 1306. Determine z(7).
-3
Let v(s) = s**3 + 5*s**2 - 41*s - 335. What is v(9)?
430
Let o(j) = -j**3 + 23*j**2 - 217*j + 2255. Give o(19).
-424
Let x(r) = 642331*r - 3853991. Determine x(6).
-5
Let r(a) = 944245*a + 2832740. Determine r(-3).
5
Let x(r) = r**3 - 14*r**2 - 522*r + 7225. What is x(23)?
-20
Let j(y) = -539*y - 11790. Give j(-22).
68
Let b(o) = -o**3 - 46*o**2 - 1425*o - 72951. Calculate b(-48).
57
Let t(w) = 2*w**2 + 646*w - 751. What is t(-324)?
-103
Let a(o) = -57*o**3 + 275*o**2 + 26*o - 2. Determine a(5).
-122
Let n(w) = -w**3 - 317*w**2 + 2327*w + 1. Calculate n(7).
414
Let i(z) = -15*z**2 + 189*z - 616. Give i(7).
-28
Let w(o) = -162*o + 51999. What is w(328)?
-1137
Let b(u) = 95*u**3 + 196*u**2 + 45*u + 72. What is b(-2)?
6
Let w(c) = 45802*c + 549623. Calculate w(-12).
-1
Let x(v) = 10*v**2 - 333*v + 2064. What is x(9)?
-123
Let n(d) = 2*d**3 - 166*d**2 - 9*d - 244. What is n(83)?
-991
Let a(l) = 15193*l - 195276. Determine a(13).
2233
Let h(g) = 32*g**2 + 489*g - 1081. What is h(2)?
25
Let y(b) = -2680*b - 97026. Give y(-36).
-546
Let n(t) = -100*t**2 - 54277*t + 12482. What is n(-543)?
-7
Let n(x) = 47*x**2 - 191*x - 1010. Calculate n(-3).
-14
Let c(k) = 17*k + 553. Give c(17).
842
Let s(f) = 5*f**2 + 1377*f - 21017. Determine s(-290).
153
Let c(y) = -5*y**3 + 44*y**2 - 271*y - 549. Determine c(-2).
209
Let k(v) = -v**3 + 24*v**2 - 361*v + 10736. Determine k(26).
-2
Let q(f) = -2*f**2 - 227*f - 4670. Calculate q(-55).
1765
Let i(a) = 29*a**2 - 498*a + 23. What is i(18)?
455
Let r(x) = 39509*x - 60. What is r(0)?
-60
Let y(z) = -12035*z - 48479. Determine y(-4).
-339
Let g(r) = 3*r**3 - 129*r**2 - 9*r + 504. What is g(43)?
117
Let d(g) = g**3 + 36*g**2 - 2946*g + 33848. Determine d(16).
24
Let k(u) = -18*u**2 - 234*u + 1624. Give k(-18).
4
Let q(f) = 24*f**2 + 17014*f - 35547. Calculate q(-711).
3
Let y(r) = -2*r**3 - 10*r**2 - 284*r - 1656. Determine y(-6).
120
Let s(z) = -15*z**3 - 199*z**2 - 35*z + 96. Calculate s(-13).
-125
Let y(q) = 49*q**3 + 550*q**2 + 604*q + 15. Calculate y(-10).
-25
Let z(l) = -l**3 + 29*l**2 - 2*l + 127. Determine z(29).
69
Let x(y) = -97*y**3 + 220*y**2 - 63*y + 42. What is x(2)?
20
Let o(z) = 8*z**2 - 33*z - 2285. Determine o(19).
-24
Let m(y) = -y**3 - 337*y**2 + 1126*y + 36198. Give m(-340).
158
Let g(f) = -f**3 - 86*f**2 + 1194*f + 32214. Calculate g(-95).
9
Let b(y) = -6670*y - 433545. Calculate b(-65).
5
Let h(x) = -x**3 + 922*x**2 - 4549*x - 33009. Give h(917).
3
Let o(l) = l**3 + 32*l**2 - 68*l - 37. Determine o(-20).
6123
Let q(n) = -8225*n - 41183. Determine q(-5).
-58
Let b(z) = 8887*z + 71995. Calculate b(-8).
899
Let z(t) = -t**3 + 12*t**2 + 379*t + 1760. Calculate z(-8).
8
Let f(b) = 778*b + 81932. Determine f(-105).
242
Let m(c) = 732*c + 37084. Give m(-49).
1216
Let u(v) = -v**3 + 41*v**2 + 1083*v + 37. What is u(-18)?
-341
Let d(s) = -3*s**3 + 2169*s**2 - 11*s + 7960. What is d(723)?
7
Let n(o) = 861*o - 1743. What is n(2)?
-21
Let i(h) = h**3 + 44*h**2 - 1457*h + 243. Give i(22).
133
Let c(n) = 2*n**3 - 255*n**2 - 1300*n + 61. Give c(-5).
-64
Let x(k) = 12157*k + 936096. Give x(-77).
7
Let l(z) = 7416052*z + 7416048. Calculate l(-1).
-4
Let i(c) = 3173*c + 320465. Give i(-101).
-8
Let d(n) = 68440*n + 615966. Give d(-9).
6
Let c(l) = -1481*l - 19343. Determine c(-10).
-4533
Let m(h) = -164*h + 2732. What is m(26)?
-1532
Let t(j) = j**3 - 4*j**2 - 11925*j + 83351. Give t(7).
23
Let j(t) = -t**3 + 330*t**2 - 2000*t + 345. Determine j(6).
9
Let y(v) = 29*v**2 - 21*v - 82. Calculate y(-3).
242
Let g(r) = -r**3 + 33*r**2 - 83*r - 459. Determine g(30).
-249
Let r(c) = -c**3 + 147*c**2 - 851*c + 1451. Give r(141).
746
Let p(a) = -766*a - 14701. Give p(-19).
-147
Let y(p) = 1087*p**2 - 25000*p - 54. Determine y(23).
-31
Let w(g) = 51*g**3 - 1171*g**2 - 381*g + 7692. What is w(23)?
-13
Let i(d) = 1997*d - 11515. What is i(7)?
2464
Let r(t) = 6*t**2 - 14*t + 200. What is r(8)?
472
Let p(u) = 320*u**3 - 1885*u**2 - 207*u + 22. What is p(6)?
40
Let o(j) = j**3 - 165*j**2 + 115*j + 8038. Give o(164).
2
Let k(x) = -472213*x + 18888515. Calculate k(40).
-5
Let q(v) = -4525793*v + 4525793. Give q(1).
0
Let k(d) = 10230*d - 81749. Give k(8).
91
Let o(g) = -8*g**3 - 18*g**2 + 89*g - 163. Determine o(4).
-607
Let o(l) = 943*l**2 + 8445*l - 370. Give o(-9).
8
Let d(w) = -2*w**3 - 6*w**2 + 1875*w - 511. Give d(29).
40
Let j(c) = c**2 + 234*c + 7171. Calculate j(-39).
-434
Let d(h) = -1550*h**2 - 12439*h - 306. Calculate d(-8).
6
Let c(w) = w**2 + 228*w - 20855. Give c(-298).
5
Let g(u) = 2*u**3 - 193*u**2 + 263*u - 35312. Give g(97).
-392
Let z(j) = -4*j**3 + 372*j**2 - 6897*j - 4764. Determine z(67).
-7
Let p(n) = 2*n**2 + 1848*n - 30119. Calculate p(16).
-39
Let w(t) = -3899*t + 46868. What is w(12)?
80
Let p(i) = 63503*i + 634960. Calculate p(-10).
-70
Let d(v) = -5389*v - 99730. Calculate d(-18).
-2728
Let i(g) = 9526*g + 1085961. What is i(-114)?
-3
Let u(k) = -k**3 - 54*k**2 + 157*k + 2459. Give u(-56).
-61
Let u(s) = -331*s**3 - 12*s**2 - 62*s + 60. What is u(1)?
-345
Let m(a) = -a**3 - 30*a**2 + 232*a - 2716. Give m(-38).
20
Let i(l) = -10503*l**3 - 84028*l**2 - 30*l + 29. What is i(-8)?
13
Let i(y) = 2*y**3 - 35*y**2 - 398*y + 6859. Give i(18).
19
Let w(j) = j**3 + 164*j**2 + 1318*j - 689. Determine w(-9).
4
Let r(o) = 11281*o - 778379. Calculate r(69).
10
Let k(z) = 12*z**2 - 655*z - 33237. Determine k(-32).
11
Let s(m) = 3*m**3 - 179*m**2 - 386*m - 1095. Give s(62).
1881
Let j(q) = 21109*q + 1625409. What is j(-77)?
16
Let d(s) = -2*s**2 - 47*s - 196. Calculate d(-17).
25
Let n(f) = -f**3 + 53*f**2 - 2*f + 6176. What is n(55)?
16
Let s(h) = h**3 - h**2 + 13*h + 332. What is s(-6)?
2
Let n(h) = -2336*h + 308364. What is n(132)?
12
Let x(f) = -13*f**2 + 833*f - 154. Calculate x(64).
-90
Let o(t) = -16*t**2 + 100*t + 257. What is o(-12)?
-3247
Let i(z) = z**2 - 9165*z - 45811. Give i(-5).
39
Let z(h) = 424*h - 108516. What is z(256)?
28
Let d(h) = 3*h**3 - 2066*h + 4114. What is d(2)?
6
Let s(x) = 2*x**2 + 49*x - 708. What is s(-40)?
532
Let l(f) = 5621*f - 815039. Calculate l(145).
6
Let f(n) = -3765*n + 606192. Calculate f(161).
27
Let k(f) = 4*f**2 - 18586*f + 185808. What is k(10)?
348
Let b(l) = l**2 + 1084*l + 8741. Determine b(-8).
133
Let z(l) = -l**3 + 26*l**2 + 713*l - 4989. What is z(6)?
9
Let p(k) = 4350*k - 108739. Calculate p(25).
11
Let f(u) = 113*u**2 - 183*u - 184. Give f(-1).
112
Let k(y) = y**2 + 530*y - 12255. Determine k(22).
-111
Let s(z) = 2*z**2 - 2218*z - 15586. What is s(-7)?
38
Let l(k) = -32*k**2 - 51697*k - 27460. What is l(-1615)?
-5
Let h(c) = -4*c**2 + 1588*c - 6273. Determine h(4).
15
Let d(t) = -3*t**2 + 346*t - 9710. Calculate d(64).
146
Let k(x) = 2*x**2 - 95*x + 198. Determine k(48).
246
Let y(k) = -24173*k - 313850. Determine y(-13).
399
Let v(g) = -14*g**3 - 43*g**2 + 883*g + 3551. Give v(-4).
227
Let n(w) = -13*w**2 - 535*w + 71. Determine n(-42).
-391
Let n(j) = -4960*j**2 - 1289598*j + 460. Determine n(-260).
-60
Let h(w) = w**3 - 174*w**2 + 2317*w - 12323. Calculate h(160).
-3
Let k(g) = -16*g**3 - 178*g**2 - 278*g - 2808. Calculate k(-11).
8
Let n(d) = d**3 + 33*d**2 - 13938*d - 127393. Determine n(-9).
-7
Let s(i) = i**3 - 25*i**2 - 55*i + 815. Calculate s(27).
788
Let p(k) = 13*k**3 + 196*k**2 - 27*k - 79. What is p(-15)?
551
Let n(d) = -2*d**2 - 242*d + 11359. Give n(-157).
55
Let g(l) = 65123*l + 2670043. Calculate g(-41).
0
Let d(f) = 3030*f - 32733. Determine d(11).
597
Let k(n) = 1751*n + 169901. Give k(-97).
54
Let o(v) = v**2 - 15142*v + 378336. Calculate o(25).
411
Let y(x) = -381*x**2 + 138*x + 270. What is y(-2)?
-1530
Let b(j) = -j**3 - 495*j**2 + 4539*j + 1516. Determine b(-504).
4
Let q(o) = 6*o**3 - 41*o**2 + 26. Calculate q(7).
75
Let t(i) = 68*i - 2953. What is t(51)?
515
Let n(h) = -29*h**2 - 123*h + 29. What is n(-7)?
-531
Let h(p) = -14*p**3 + 19*p**2 - 135*p - 20. Determine h(5).
-1970
Let h(d | {
"pile_set_name": "DM Mathematics"
} |
) -3 (d) -5 (e) -4
b
What is the closest to 0.2 in 1/1510, 0, 0.1, 4?
0.1
What is the closest to 3.9 in -4, -2/55, 2/7, 10?
2/7
What is the nearest to -4 in -91, -5, 98?
-5
Which is the closest to 1? (a) 5.4 (b) -1/26 (c) 2 (d) -8 (e) -3
c
Which is the closest to 1? (a) -1.4 (b) -0.45 (c) 0.3 (d) -33
c
What is the nearest to -3 in 0.04, 1/5, 1/8, 19/13, -2/23?
-2/23
Which is the nearest to 1? (a) 1 (b) -1/189 (c) 3/14 (d) 2
a
Which is the closest to 3.5? (a) -3 (b) 0.04 (c) -8 (d) 1
d
Which is the closest to 1? (a) -2/3 (b) -1/3 (c) 36 (d) 1/6
d
What is the closest to 0.2 in 2, -4, 2341?
2
What is the nearest to -2 in 0.3, -3/5, 0.99, -15?
-3/5
Which is the closest to 2.1? (a) 3 (b) -2/9 (c) -0.5 (d) 1 (e) -5
a
What is the nearest to 0.1 in -1, -0.41, -1/7, 3/7?
-1/7
What is the nearest to 0 in -1/60, -4, -5, 1, 0.3?
-1/60
Which is the closest to 1/3? (a) -1/6 (b) 48 (c) 2 (d) -0.2
a
What is the nearest to -192 in -4, 2/3, 30, 0.2?
-4
Which is the closest to -0.2? (a) 61 (b) -0.04 (c) 1/5 (d) -194
b
Which is the nearest to -0.1? (a) -0.1 (b) -1/4 (c) 18/2383
a
What is the nearest to 1/5 in -0.6, -4/41, -0.2, -11/2?
-4/41
What is the closest to -1/4 in 5, 37/4, 2/1101, -0.046?
-0.046
Which is the closest to 1? (a) 2/13 (b) -3 (c) 272 (d) -27
a
Which is the closest to -0.5? (a) -3/4 (b) -2/9 (c) -4 (d) -52/3 (e) -1
a
What is the closest to 6/13 in -1, -5/2, -0.1?
-0.1
What is the closest to 0.1 in 181, -1/6, -0.5, -45?
-1/6
Which is the closest to 3/4? (a) -0.1 (b) -565 (c) 2/9 (d) 3 (e) 1/8
c
What is the closest to 2 in -3, -3/5, 6/1075?
6/1075
What is the nearest to 2/9 in -4, -3, 3, -45?
3
Which is the nearest to -4/5? (a) -28/3 (b) -0.06 (c) 4 (d) -4 (e) -1
e
What is the nearest to 3/2 in -82.81, 3/7, 0.1?
3/7
What is the closest to -1 in 3096, 2.3, 5/3?
5/3
Which is the closest to -725/4? (a) 1 (b) -63 (c) -2/7
b
What is the closest to 8 in 4, 15, 0.3, 0.5?
4
What is the closest to 1/3 in 0, -7.3, 1/4, -3/16?
1/4
Which is the nearest to 27? (a) -47 (b) 36 (c) 5
b
What is the nearest to 2 in -2/7, 0.16, -0.6, 7?
0.16
Which is the closest to 0.1? (a) 1/6 (b) 0.697 (c) 3 (d) 0.3 (e) 0.1
e
What is the closest to -2/5 in 0.1, 0.3, -2076?
0.1
What is the closest to 0 in -0.3, -1/259659, -2?
-1/259659
Which is the nearest to -1/3? (a) 1/2 (b) 0.0226 (c) -0.4
c
Which is the closest to 0.1? (a) -0.89 (b) 3 (c) 5
a
Which is the closest to 3/4? (a) -5 (b) -0.5 (c) 0.2 (d) -0.48129
c
Which is the closest to 20? (a) -2/21 (b) -0.5 (c) -0.07 (d) 1/11
d
What is the closest to 5 in 16, -2/15, 3?
3
Which is the nearest to -0.3? (a) 1/7 (b) -1/4 (c) 0 (d) 11
b
Which is the nearest to -1/4? (a) 66 (b) 0.07 (c) -0.5 (d) 30
c
Which is the nearest to 65.9? (a) -5 (b) 63/23 (c) -2/5
b
Which is the closest to 0? (a) -5/2 (b) -1/7 (c) 0.2 (d) -0.4
b
What is the closest to -203 in 0.05, 14.3, -1?
-1
Which is the closest to 1/8? (a) 3 (b) -5 (c) 4 (d) -8
a
Which is the closest to 1? (a) -0.3015 (b) -2/9 (c) 3 (d) 4
b
Which is the closest to -18? (a) -0.03 (b) -2/3 (c) 3 (d) -1
d
Which is the nearest to -8? (a) -0.5 (b) -33 (c) -7 (d) -5
c
Which is the nearest to 1/3? (a) -0.1 (b) -0.07 (c) -2873 (d) 0.2
d
What is the nearest to 1 in 1/19, 3/2, -1, 1/67, -2/5?
3/2
What is the nearest to -33 in -13, 0.01, 4?
-13
What is the nearest to -1 in 0.02, -2, 0.2, -1597, -5?
-2
What is the closest to 0.1 in 13, -2/7, -4, 4.149?
-2/7
Which is the closest to 1/3? (a) 2/11 (b) 1 (c) -0.2 (d) -2/5 (e) -86
a
What is the nearest to -1 in -2/9, 4, -18, 837/5?
-2/9
What is the nearest to -1.2 in 0.08, -0.9, -109?
-0.9
What is the closest to 47 in 2, 0.2, -0.4, 1/4, 2/11?
2
What is the nearest to 2 in 0.11, 3, -0.07?
3
What is the closest to 1 in -4, -2/7, 1/35, 3?
1/35
Which is the closest to -2/3? (a) -788 (b) -1/652 (c) -1/8
c
What is the closest to -21 in 0.48, -4, 0.2, 0.3, 3/4?
-4
Which is the nearest to -1.4? (a) -4/717 (b) -4/5 (c) -7/9 (d) -3
b
What is the nearest to 1 in 46, 99, 3?
3
What is the nearest to 2/67 in 0.1166, 0.5, -5?
0.1166
Which is the closest to -2? (a) 5 (b) 23 (c) -0.4 (d) 106
c
What is the nearest to -1 in -2/5, -2872, 0.7?
-2/5
Which is the nearest to 0.1? (a) -2/7157 (b) 1.2 (c) -0.1
a
Which is the closest to -0.1? (a) -1/5 (b) 9 (c) -0.079 (d) 39
c
Which is the closest to 24? (a) -0.1 (b) 0.2 (c) 20 (d) 3
c
What is the closest to 0.2 in -3/37, -0.5, 2/17, 0, -2/7?
2/17
What is the nearest to 6.3 in 38, 0.5, 1.4?
1.4
Which is the closest to -0.1? (a) 0.246 (b) -0.5 (c) 6/13 (d) 4 (e) -2/7
e
What is the closest to 3 in 1, 10.5, 13?
1
What is the closest to 0.8 in -10, -0.3, 13?
-0.3
Which is the closest to 1/4? (a) 0.2 (b) 2/29 (c) -286/9 (d) 3
a
What is the nearest to 22/29 in -0.5, -1/3, -13?
-1/3
What is the closest to -1 in 1/16, -1020, -3, -2/5?
-2/5
What is the closest to -0.1 in -29, -4, 326?
-4
Which is the nearest to 1? (a) -2/11 (b) 4 (c) -7 (d) -5 (e) -99
a
What is the closest to -4/3 in 1/11, 0.4, -0.106?
-0.106
What is the closest to 9602 in -1/4, 0.3, 66?
66
Which is the nearest to 0? (a) -4/3 (b) -3 (c) 11 (d) 0.22 (e) 0.4
d
Which is the closest to -0.6? (a) 127 (b) -0.1 (c) 0 (d) 4
b
Which is the nearest to -1? (a) -1 (b) 2/35 (c) 2.57
a
Which is the closest to -0.1? (a) -11 (b) 268 (c) -1
c
What is the nearest to -2/99 in -5, 4, -20, 0.5, -0.3?
-0.3
What is the closest to 0.15 in -5, -0.3, 6.7?
-0.3
What is the nearest to -2/7 in -0.03, -1/140, 3, 2?
-0.03
What is the closest to 1 in -0.2316, -4, 3?
-0.2316
What is the closest to -48 in -211/4, 0.4, -2/15?
-211/4
Which is the closest to 0.1? (a) 5 (b) 0.2 (c) 1113 (d) -534
b
Which is the closest to 161? (a) -0.1 (b) -20 (c) -5
a
What is the closest to -1/2 in -2, -15, -4, 0.79?
0.79
What is the nearest to 2 in 5, -6/11, -1200, -4, 2?
2
Which is the closest to 2? (a) -0.12 (b) 3/4 (c) 0.874 (d) -4/3
c
What is the nearest to -0.1 in 1.2, 2088, 6, -0.3?
-0.3
Which is the closest to -18? (a) 5 (b) -4 (c) -2/5 (d) 788/5
b
Which is the closest to 3? (a) 2/3 (b) -5/4 (c) 245 (d) -2/21
a
Which is the nearest to -1? (a) -33/4 (b) 5 (c) -0.2 (d) -4/7
d
What is the nearest to 2/13 in 654, 18, -0.5?
-0.5
Which is the closest to 126? (a) 0.2 (b) 0.14 (c) 0.5 (d) -4/7
c
What is the nearest to -4 in -2/1087, -5, 1?
-5
Which is the closest to -788? (a) -2/11 (b) -33 (c) 2/7
b
Which is the nearest to 2/7? (a) -2 (b) 1.1 (c) 1239 (d) 6/11
d
What is the nearest to 4 in 1/6, -0.124, -0.184?
1/6
Which is the closest to -13/3? (a) -0.2 (b) -8 (c) -0.02 (d) 3/7
b
Which is the nearest to 41/4? (a) 1/6 (b) 1 (c) -0.25
b
What is the nearest to -1/7 in 0.3, 14.538, 0?
0
What is the closest to -2/7 in 2, 0, 1/4, -29/164?
-29/164
What is the nearest to -2/11 in 11/106, -2, 5, -3/8?
-3/8
What is the closest to 1/4 in 0.23, 360, 12, -2/13?
0.23
Which is the closest to 10.7? (a) 0.2 (b) -1/2 (c) -4
a
What is the closest to 88.6 in -4, 0.4, -2/7, -0.8?
0.4
What is the nearest to -0.6 in 13.3, 4, -2/7, 1/5, -3?
-2/7
Which is the closest to -77/6? (a) -0.1 (b) 1 (c) 2 (d) 0.75
a
Which is the closest to -0.4? (a) 70 (b) -0.061 (c) -1 (d) 0
b
What is the closest to -96 in -1.6, 0.2, -215?
-1.6
What is the nearest to 6/11 in 0.02, 0.3, -0.05?
0.3
Which is the nearest to -33? (a) 1 (b) -3 (c) 0.5 (d) -5 (e) 0.17
d
Which is the closest to -9? (a) -3 (b) 2/13 (c) -0.6 (d) -13
d
Which is the closest to 34? (a) 70281 (b) 1/4 (c) 4/5
c
What is the nearest to 1/4 in -25.3, -5, -57/2?
-5
What is the nearest to -4/43 in 2/373, -0.1, 5?
-0.1
What is the closest to -17 in 5, -9/16, 0.1, -0.1?
-9/16
What is the nearest to -2/3 in -5, -0.5, 1942?
-0.5
What is the nearest to -308014/31 in 1, -1/2, -0.2, 2?
-1/2
Which is the closest to 2/11? (a) 122 (b) 4 (c) -12 (d) 1/6
d
Which is the closest to -3/41? (a) 3/5 (b) 0 (c) -2/7 (d) 0.1 (e) 18
b
What is the nearest to -0.1 in -8, 0.1, -43, 6/7, 2?
0.1
What is the closest to -349 in 2/7, -0.2, 1/4, -1/2, 1?
-1/2
What is the nearest to -41 in 0.4, -63, -15?
-63
What is the nearest to -1 in 2, 10.1, 4, -42?
2
Which is the nearest to -1113? (a) -1 (b | {
"pile_set_name": "DM Mathematics"
} |
is the lowest common multiple of 41 and 19?
779
Find the common denominator of 87/1474 and 63/536.
5896
What is the least common multiple of 26 and 572?
572
Calculate the common denominator of 55/112 and -123/160.
1120
Find the common denominator of -3/572 and 25/16.
2288
Find the common denominator of 23/144 and -5/48.
144
Calculate the lowest common multiple of 2464 and 1584.
22176
What is the smallest common multiple of 63 and 1179?
8253
Calculate the common denominator of 9/56 and 32/21.
168
Find the common denominator of -76/117 and 19/78.
234
What is the lowest common multiple of 3 and 30?
30
What is the least common multiple of 70 and 600?
4200
Calculate the common denominator of -29/5877 and -1/7.
41139
Calculate the least common multiple of 340 and 221.
4420
What is the common denominator of 76/177 and 31/33?
1947
Calculate the common denominator of -211/1050 and -119/18.
3150
Calculate the least common multiple of 136 and 153.
1224
What is the common denominator of -67/1101 and -5/12?
4404
Calculate the common denominator of -3/40 and -41/1340.
2680
Calculate the common denominator of 23/20 and 41/836.
4180
Find the common denominator of -105/2068 and 11/4.
2068
What is the smallest common multiple of 54 and 6?
54
Find the common denominator of 107/12 and 29/1767.
7068
Calculate the least common multiple of 340 and 14.
2380
What is the common denominator of 53/156408 and 101/6?
156408
Calculate the common denominator of -107/180 and 151/180.
180
What is the least common multiple of 160 and 224?
1120
Calculate the common denominator of -89/868 and 113/1116.
7812
What is the common denominator of 8/125 and 33/100?
500
Calculate the common denominator of -169/360 and 9/560.
5040
Find the common denominator of 61/70 and 93/238.
1190
What is the lowest common multiple of 143 and 78?
858
What is the common denominator of -12/1435 and -1/42?
8610
Calculate the common denominator of -107/108 and 69/44.
1188
Calculate the least common multiple of 3964 and 7.
27748
Calculate the least common multiple of 3 and 11.
33
Calculate the smallest common multiple of 120 and 3.
120
Find the common denominator of 33/52 and 5/28.
364
What is the smallest common multiple of 550 and 10?
550
What is the common denominator of 97/176 and -91/2420?
9680
What is the common denominator of -115/1008 and 125/84?
1008
What is the common denominator of 111/40 and 49/44?
440
What is the common denominator of 32/3 and 32/489?
489
Calculate the lowest common multiple of 273 and 1.
273
Find the common denominator of 25/1793 and -61/22.
3586
What is the lowest common multiple of 1020 and 780?
13260
Find the common denominator of 99/8 and -38/393.
3144
Calculate the smallest common multiple of 1324 and 4.
1324
What is the common denominator of 95/12 and -107/102?
204
Find the common denominator of -107/18 and -88/15.
90
What is the lowest common multiple of 110 and 1342?
6710
Calculate the smallest common multiple of 5734 and 3.
17202
Calculate the lowest common multiple of 30 and 393.
3930
Calculate the common denominator of 79/120 and 17/150.
600
Calculate the common denominator of -131/48 and -145/6684.
26736
What is the common denominator of 77/306 and -58/45?
1530
Calculate the common denominator of -71/28 and 37/154.
308
What is the common denominator of 79/168 and 95/42?
168
Calculate the smallest common multiple of 9288 and 6192.
18576
What is the least common multiple of 6 and 754?
2262
What is the lowest common multiple of 270 and 450?
1350
Calculate the common denominator of 37/10 and 35/534.
2670
Find the common denominator of -71/624 and -73/48.
624
Find the common denominator of 119/18 and -7/67.
1206
Calculate the smallest common multiple of 80 and 2580.
10320
What is the lowest common multiple of 5 and 24624?
123120
Calculate the smallest common multiple of 9262 and 8.
37048
Calculate the smallest common multiple of 10 and 112.
560
Calculate the least common multiple of 7 and 3873.
27111
Calculate the lowest common multiple of 22 and 2.
22
What is the common denominator of -29/2950 and 76/885?
8850
Calculate the common denominator of 113/900 and 163/1800.
1800
Calculate the common denominator of 61/302 and -131/906.
906
What is the lowest common multiple of 3 and 118?
354
Calculate the common denominator of -73/531 and 113/12.
2124
What is the lowest common multiple of 105 and 70?
210
What is the smallest common multiple of 16 and 39?
624
What is the least common multiple of 112 and 140?
560
Find the common denominator of 93/70 and 47/42.
210
What is the smallest common multiple of 42 and 1974?
1974
What is the lowest common multiple of 6 and 54?
54
What is the common denominator of 19/175 and 57/50?
350
What is the common denominator of -13/495 and 101/360?
3960
Calculate the common denominator of -10/11 and -8/99.
99
Calculate the common denominator of -31/9 and -11/78.
234
What is the lowest common multiple of 10 and 27?
270
Calculate the lowest common multiple of 13525 and 20.
54100
Calculate the least common multiple of 9 and 7677.
7677
Calculate the smallest common multiple of 120 and 135.
1080
Find the common denominator of 113/6 and -15/82.
246
Calculate the lowest common multiple of 12 and 86.
516
Calculate the lowest common multiple of 18 and 78.
234
Find the common denominator of -23/2170 and 173/1302.
6510
What is the least common multiple of 70 and 110?
770
Find the common denominator of -103/1092 and -31/8.
2184
Calculate the common denominator of 121/6 and -139/60.
60
Calculate the common denominator of 16/207 and -23/99.
2277
Calculate the lowest common multiple of 15 and 175.
525
Find the common denominator of -107/192 and -137/336.
1344
What is the common denominator of -25/182 and -68/1001?
2002
Calculate the common denominator of -13/868 and 99/212.
46004
Calculate the least common multiple of 16 and 2.
16
What is the least common multiple of 816 and 16?
816
Calculate the smallest common multiple of 260 and 2912.
14560
What is the smallest common multiple of 21 and 5824?
17472
What is the common denominator of -25/4752 and 59/5940?
23760
Calculate the common denominator of -119/10 and 33/8960.
8960
Calculate the least common multiple of 10 and 9420.
9420
What is the common denominator of 41/1863 and 103/414?
3726
Calculate the common denominator of 9/7 and 26/63.
63
What is the smallest common multiple of 81 and 18?
162
What is the common denominator of -45/16 and 23/12?
48
Calculate the common denominator of -17/24 and 3/182.
2184
What is the lowest common multiple of 42 and 392?
1176
What is the common denominator of 73/3213 and 92/315?
16065
Find the common denominator of 15/112 and 25/49.
784
What is the least common multiple of 840 and 945?
7560
What is the smallest common multiple of 2760 and 3105?
24840
Calculate the common denominator of -65/2384 and -29/2980.
11920
What is the smallest common multiple of 4263 and 783?
38367
What is the common denominator of -26/341 and -3/385?
11935
Calculate the lowest common multiple of 1716 and 154.
12012
Calculate the smallest common multiple of 24 and 60.
120
What is the common denominator of 89/1908 and 17/2968?
26712
Calculate the common denominator of 107/102 and 121/1248.
21216
What is the least common multiple of 3000 and 1875?
15000
Find the common denominator of 69/806 and -63/620.
8060
What is the lowest common multiple of 98 and 735?
1470
Calculate the least common multiple of 20 and 60.
60
What is the common denominator of 7/75 and -61/63?
1575
What is the least common multiple of 14 and 28?
28
What is the smallest common multiple of 96 and 12?
96
What is the least common multiple of 264 and 120?
1320
What is the common denominator of -88/3075 and 163/750?
30750
Find the common denominator of -62/21 and 1/609.
609
Calculate the common denominator of -43/40 and -61/70.
280
Calculate the lowest common multiple of 187 and 1020.
11220
Calculate the common denominator of 27/8 and 11/2338.
9352
What is the least common multiple of 116 and 174?
348
What is the common denominator of -143/6 and 7/46?
138
What is the common denominator of -53/8 and -17/390?
1560
Find the common denominator of 49/24 and -101/120.
120
Calculate the lowest common multiple of 1025 and 1230.
6150
Calculate | {
"pile_set_name": "DM Mathematics"
} |
*c.
2*(c + 1)**3*(c + 5)/11
Suppose -306 = -18*o - 0*o. Let r be -12*((-5)/(-4) - 2). Determine h, given that h**4 + 6*h**4 + r*h**3 - 4*h**4 - 11*h**2 + o*h**2 = 0.
-2, -1, 0
Let b be (-12)/(-21) + (-28960)/210. Let t = b - -140. Solve -8/3 - 2/3*n**4 + 2*n**2 + 4/3*n**3 - t*n = 0.
-1, 2
Let x be ((-50)/(-5) - 11)/(-3 - (-32)/12). Let 0 + h**2 - h**4 + 1/4*h - 1/4*h**x = 0. Calculate h.
-1, -1/4, 0, 1
Let c(f) be the third derivative of -8/3*f**3 - 1/6*f**6 + 5*f**2 + 0*f + 0 - 17/15*f**5 - 8/3*f**4. Factor c(d).
-4*(d + 1)*(d + 2)*(5*d + 2)
Suppose -3*i + 9/2 + 1/2*i**2 = 0. What is i?
3
Factor -p**3 + 11*p - 9*p**2 - 4*p**4 - 11*p + 3*p**4 + 11*p**2.
-p**2*(p - 1)*(p + 2)
Factor -32/3*q**2 + 0*q - 4*q**3 + 2/3*q**4 + 0.
2*q**2*(q - 8)*(q + 2)/3
Find k, given that 5/4*k**2 - 1/4*k**3 - 2*k + 1 = 0.
1, 2
Factor 1/4*b**3 + 3/4*b**2 + 0 - 5/2*b.
b*(b - 2)*(b + 5)/4
Suppose -12*c + 5*a = -13*c - 12, 5*a + 4 = -2*c. Suppose -2*l - r + 5*r + c = 0, -2*l + 2*r = -4. Factor 16/17*o**2 + 2/17*o**4 + 8/17*o + l + 10/17*o**3.
2*o*(o + 1)*(o + 2)**2/17
Let w(y) = y**3 - 9*y**2 - 3*y + 4. Let l be w(8). Let v be (-2)/(-4)*(-48)/l. Solve 0 + v*p**2 - 4/7*p = 0 for p.
0, 2
Let y = -11632/3 - -3884. Factor -4/3*z**2 + 8 + y*z.
-4*(z - 6)*(z + 1)/3
Let o be (6 - 7485/1250)/(18/5). Let j(g) be the third derivative of 0 - g**2 + o*g**5 + 1/30*g**3 - 1/60*g**4 + 0*g. Find a such that j(a) = 0.
1
Let h = -249 - -751/3. Let w(n) be the first derivative of h*n**2 + 4/3*n + 2 - 11/9*n**3 + 1/4*n**4. Determine l, given that w(l) = 0.
-1/3, 2
Let x(t) = 6*t**4 + 12*t**3 + 28*t**2 + 18*t - 2. Let j(s) = 2*s**4 - s**3 + s - 1. Let y(l) = 2*j(l) - x(l). Factor y(n).
-2*n*(n + 1)*(n + 2)*(n + 4)
Let q be (-9)/(-15)*16/3. Let w be (-56)/30*((-360)/42 + 6). Determine y so that 12/5*y**2 - w*y - 2/5*y**3 + q = 0.
2
Let b be 1*(-10)/(1 - 3). Solve 9*s**4 - 5*s**5 + b*s**5 - 9*s**3 - 3*s**5 + 3*s**2 = 0.
0, 1
Suppose 468 = -105*o + 108*o. Let q = -460/3 + o. Factor 1/3*f**2 - q*f + 16/3.
(f - 4)**2/3
Let a = 4/555 - -1649/2220. Let g(i) be the first derivative of 5 + 0*i - a*i**4 + 5/4*i**3 + 3/20*i**5 - 3/4*i**2. Suppose g(d) = 0. What is d?
0, 1, 2
Factor -303 + 2*r + 625 - 310 - 14*r**2.
-2*(r - 1)*(7*r + 6)
Factor -1/3*p**3 + 2 + 5/3*p - 2/3*p**2.
-(p - 2)*(p + 1)*(p + 3)/3
Let k be (-4)/(-1) - (64989/7380 + -5). Let h = 1/164 + k. Factor -4/5*v - h*v**2 - 3/5.
-(v + 1)*(v + 3)/5
Find u such that -3/2*u**4 + 30*u + 0 - 33/2*u**3 - 12*u**2 = 0.
-10, -2, 0, 1
Let o(m) = 3*m**2 + 18*m - 6. Let j(t) = 7*t**2 + 36*t - 13. Let z(a) = -6*j(a) + 13*o(a). Determine c so that z(c) = 0.
0, 6
Solve 3/4*j**4 - j - 3*j**2 - j**5 + 0 + 17/4*j**3 = 0.
-2, -1/4, 0, 1, 2
Factor 61 + 2*g**3 + 7*g**2 - 106*g**2 - 276*g - 269 - 6*g**3 + 27*g**2.
-4*(g + 1)*(g + 4)*(g + 13)
Let c(m) be the second derivative of m**5/35 - m**4/21 - 4*m**3/7 + 121*m. Factor c(x).
4*x*(x - 3)*(x + 2)/7
Factor -191/3*b**2 + 0 - 2/3*b.
-b*(191*b + 2)/3
Let x(q) = -6*q - 1. Let n be x(-1). Suppose -2*h - n*w - 1 = -27, w = 4. What is d in -4*d**5 - 6*d**2 - 10*d**4 - 2*d**2 + 10*d**5 - 12*d**4 + 24*d**h = 0?
0, 2/3, 1, 2
Let d = 4267 + -4265. Factor 0 + 0*r - 16/3*r**3 + 4/3*r**4 + 4*r**d.
4*r**2*(r - 3)*(r - 1)/3
Suppose x - 20 = -4*x. Factor 0*i + 3*i - i**3 + 2*i**3 - x*i**3.
-3*i*(i - 1)*(i + 1)
Let p(q) be the first derivative of -3*q**4/4 + q**3 + 3*q**2 + 29. Factor p(h).
-3*h*(h - 2)*(h + 1)
Let b(j) = -2*j**2 + 574*j - 40322. Let c(v) = -26*v**2 + 7460*v - 524188. Let d(q) = -76*b(q) + 6*c(q). Find y such that d(y) = 0.
142
Let l(r) = 8*r**2 + 9*r + 5. Let n be l(-1). Let z(q) be the first derivative of 0*q + 0*q**2 + 0*q**3 + 1/2*q**n + 2/5*q**5 + 8. Factor z(t).
2*t**3*(t + 1)
Let j(d) = -2*d**4 + 32*d**3 - 76*d**2 + 68*d - 22. Let w(g) = 2*g**4 - 31*g**3 + 75*g**2 - 68*g + 22. Let n(m) = 3*j(m) + 4*w(m). Factor n(h).
2*(h - 11)*(h - 1)**3
Let h(r) be the second derivative of -2*r**6/15 - 6*r**5/5 - 13*r**4/3 - 8*r**3 - 8*r**2 + 2*r + 55. Suppose h(w) = 0. Calculate w.
-2, -1
Let u(c) = 5*c**2 + 204*c + 145. Let v(b) = 45*b**2 + 1845*b + 1305. Let h(j) = 55*u(j) - 6*v(j). Factor h(l).
5*(l + 1)*(l + 29)
Let t(g) = -512*g**3 - 1147*g**2 - 859*g - 221. Let m(v) = -256*v**3 - 574*v**2 - 430*v - 110. Let j(x) = 5*m(x) - 2*t(x). Factor j(o).
-4*(4*o + 3)**3
Let h(b) be the third derivative of -b**6/240 + 3*b**5/20 - 35*b**4/16 + 49*b**3/3 + 2*b**2 + 182*b. Find j such that h(j) = 0.
4, 7
Factor 70/9*z**3 + 2/9*z + 8*z**2 + 0.
2*z*(z + 1)*(35*z + 1)/9
Let b(w) = -w**2 - 15*w + 16. Let x be b(-7). Suppose 0 = -16*d + x - 8. Factor 2/7*h**2 - 2/7*h - 2/7*h**d + 2/7*h**3 + 0.
-2*h*(h - 1)**2*(h + 1)/7
Let x(n) be the first derivative of 11 + 36*n + 48*n**2 + 4/5*n**5 + 88/3*n**3 + 8*n**4. Solve x(w) = 0 for w.
-3, -1
Let d(g) = g**2 - 13*g + 22. Let b be d(2). Factor b + 2/15*u**2 + 0*u - 2/15*u**3.
-2*u**2*(u - 1)/15
Let p(n) be the first derivative of n**3/6 - 21*n**2/2 + 441*n/2 - 264. Factor p(c).
(c - 21)**2/2
Let v = -2/1467 + 4405/2934. Suppose -3 + 9/2*p - v*p**2 = 0. What is p?
1, 2
Let d = 4 - 10. Let r(f) = f**5 + f**3 - f. Let x(p) = -2*p**5 - 8*p**4 - 6*p**3 + 8*p**2 + 2*p. Let g = -122 + 121. Let y(q) = d*r(q) + g*x(q). Factor y(j).
-4*j*(j - 1)**3*(j + 1)
Suppose -3*a - 6*j + 5*j + 12 = 0, 2*a + 4*j = 18. Solve -2/11*x**a + 0 + 2/11*x + 0*x**2 = 0.
-1, 0, 1
Let g = 4813/21456 + -5/2384. Factor -4/9*z - 2/9*z**2 - g.
-2*(z + 1)**2/9
Let a = 5820 - 5817. Solve 12/13*k**2 - 64/13 - 2/13*k**a + 0*k = 0.
-2, 4
Let l(a) = a**3 - 3*a**2 + 3*a - 5. Let p be l(4). Suppose u - p = -5*x, x = -x + 8. Find k, given that 2*k - 7*k**3 - u + 2*k**3 + 3*k**2 + 2*k**3 + k = 0.
-1, 1
Factor -16/11*x**2 + 2/11*x**3 - 20/11 - 38/11*x.
2*(x - 10)*(x + 1)**2/11
Suppose -3*b + 17 + 29*b - 5*b + 61 + 24*b + 3*b**2 = 0. What is b?
-13, -2
Let y be 134/(-17) - (50/10 - 13). Find r, given that y*r**2 + 2/17 - 4/17*r = 0.
1
Let c = 258 - 255. Suppose 20 = 2*a + c*a - 5*w, 3*w + 2 = -2*a. Let -4/3*y - 8/3 + 4/3*y**a = 0. Calculate y.
-1, 2
Let g(h) be the third derivative of -4*h**2 + 0*h + 0*h**4 + 1/8*h**6 - 7/6*h**3 - 1/12*h**5 + 0. Let n(m) be the first derivative of g(m). Factor n(x).
5*x*(9*x - 2)
Suppose 0 = -3*b + 3*p + 2*p, -5*b = p. Suppose b = -2*q + 38 - 32. Factor 8/3 + 10/3*d**2 - 2/3*d**q - 16/3*d.
-2*(d - 2)**2*(d - 1)/3
Suppose -63*r + 20 + 42 = -127. Factor 2/3 - 8/3*q**r - 8/3*q + 4*q**2 + 2/3*q**4.
2*(q - 1)**4/3
Let k(g) = 2*g**2 + 26*g + 25. Let d be k(-19). Let y = -2777/11 + d. Suppose 0 - y*b**3 + 2/11*b**4 - 2/11*b**2 + 4/11*b**5 + 2/11*b = 0. What is b?
-1, 0, 1/2, 1
Let o(q) = q**2 - 50*q + 80. Let w(l) = l**2. Let v(u) = o(u) + 4*w(u). What is b in v(b) = 0?
2, 8
Suppose 2*n - 5*n = -6. Let c be 1/n + (-3)/(-2). What is s in -s - 7 + s**c - 5*s + 10 + 2*s**2 = 0?
1
Find o, given that -6/7*o**2 + 2/7*o**3 + 0 - 8/7*o = 0.
-1, 0, 4
Suppose -2*u + 4 = -0*u. Suppose w = -4, 3*v + v - u*w - 16 = 0. Factor 0 - 1/2*g**v - 1/2*g.
-g*(g + 1)/2
Factor -6*n**3 - 288*n**2 + 132*n + 23*n**3 + 54*n**3 - 7*n**3 - 16.
4*(n - 4)*(4*n - 1)**2
Let z(k) be the first derivative of -2*k**3 - 2/5*k**5 - 4*k**2 + 8*k + 2*k**4 + 16. Factor z(v).
-2*(v - 2)**2*(v - 1)*(v + 1)
Let n be 0/(1/(1 + 12/(-8))). Suppose z + n = 2. Factor -6/7*x**3 + 3/7*x**z + 0*x + 0 + 3/7*x**4.
3*x**2*(x - 1)**2/7
Let h(n) = 6*n - 3. Let u be h(1). Let u*d**3 - 3*d**4 - 1031 + d**5 + 1031 - d**2 = 0. Calculate d.
0, 1
Let y = 0 + 2. Let r(v) = 17*v + 799. Let f be r(-47). Solve f - 4/5*i**y - 6/5*i - 2/15*i**3 = 0 for i.
-3, 0
Determine g, given that -1/2*g**3 + 3844 - 1798*g - 61*g**2 = 0.
-62, 2
Let n(y) be the first derivative of 5*y**6/36 - y**5/30 - 5*y**4/8 - 7*y**3/18 + y**2/6 + 101. Find z such that n(z) = 0.
-1, 0, 1/5, 2
Let z = -63 - -255. Let r = 192 - z. Factor 1/2*s**3 + s + r + 3/2*s**2.
s*(s + 1)*(s + 2)/2
Let s(j) be the first derivative of -j**5 + 25*j**4/4 - 10*j**3 + 270. Factor s(h).
-5*h**2*(h - 3)*(h - 2)
Let b(p) = 3*p**4 - 22*p**3 - 62*p**2 - 52*p + 5. Let t(g) = -4*g**4 + 33*g**3 + 93*g**2 + 77*g - 7. Let f(w) = 7*b(w) + 5*t(w). Let f(u) = 0. What is u?
-7, -3, -1, 0
Let c(m) be the first derivative of -m**5/100 - m**4/4 - 5*m**3/2 - 8*m**2 + 15. Let k(n) be the second derivative of c(n). Factor k(h).
-3*(h + 5)**2/5
| {
"pile_set_name": "DM Mathematics"
} |
4. Let s be k(16). Suppose -252 = 4*p - 13*p. Suppose p + 68 = q. What is the greatest common divisor of q and s?
12
Let c be (-2077)/(-9) + (-4)/(-18). Let i = 21 + -17. Suppose 0 = i*p - 20, -4*j + 5*p = 18 - 77. What is the highest common divisor of c and j?
21
Let i be (914 - -1) + (250 - 262). What is the greatest common factor of 21 and i?
21
Let q(z) = z + 4. Let i be q(-2). Suppose i*d - 5 = -4*a + 21, a = -2*d + 14. What is the highest common factor of 30 and d?
5
Suppose -3*i + 27 = l, 5*i - 8*l - 28 = -4*l. Let x be (-16)/7 - i/(-28). Let r be 1/x + (-63)/(-6). What is the highest common divisor of r and 10?
10
Suppose 3*m - 2*r + 432 = -6*r, -5*r = -4*m - 607. Let j = m - -208. Suppose -2*k - 3*k = -j. Calculate the greatest common divisor of 84 and k.
12
Suppose 4*g + 108 = -0*g. Let z be 8 - (-9)/(g/(-6)). What is the greatest common divisor of z and 20?
10
Suppose 4*u = 3*w + 39 - 203, -219 = -4*w + 5*u. Calculate the highest common divisor of 1176 and w.
56
Let q(b) = -b**2 + 28*b - 27. Let l be q(19). Calculate the highest common divisor of l and 45.
9
Let b be 6/(12/5 - 2). Suppose i + 5*x = -0*x + 20, 3*x - 3 = 0. Calculate the highest common divisor of i and b.
15
Suppose -o = 3*o - 12. Suppose o*c - 16 = c. Let y = -93 - -105. Calculate the highest common factor of y and c.
4
Let u = 387 + -341. What is the greatest common divisor of u and 782?
46
Suppose 2*x + 5*f = 1277, 3*f - 711 + 72 = -x. Suppose -12*p = -x - 300. Calculate the greatest common factor of 6 and p.
6
Let r be 30*(-2 - (-60)/25). Suppose -39*h = -33*h - r. What is the greatest common factor of 4 and h?
2
Let g be ((-3)/((-18)/(-8)))/((-30)/(-225)). Let p(z) = -z**3 - 10*z**2 - 14*z - 8. Let f be p(g). Calculate the highest common divisor of f and 44.
44
Suppose 2*t - 143 - 5 = 0. Let d = t + -49. Calculate the highest common divisor of d and 225.
25
Suppose 2*d = -b + 67, 4*b - 2*d - d - 323 = 0. What is the highest common factor of b and 33?
11
Let t(f) = 6*f - 1. Let k be t(1). Suppose -4*y + 3*x + 114 = -y, -y - 5*x = -68. Suppose -z + k = -y. Calculate the greatest common divisor of 6 and z.
6
Let m be (32/(-10))/(30/(-75)). Let y be (-162)/(-10) - (33/15 - 2). Calculate the highest common factor of m and y.
8
Suppose 70 = 2*z + 7*p + 3*p, z + p = 27. Calculate the highest common divisor of z and 25.
25
Let z(v) = -v - 8. Let w be z(-10). Let s be 3 - (4/(-2) - -1). Suppose 9*o - s*o - 70 = 0. What is the highest common divisor of w and o?
2
Let c be ((-31)/4)/(55/440). Suppose -55 = -4*a - 227. Let r = a - c. Calculate the highest common factor of r and 171.
19
Suppose 15 = 5*f - 10. Suppose -5 = -y - j + 4, f*j = -3*y + 27. What is the highest common factor of 63 and y?
9
Let r(s) = s**2 - 6*s - 79. Let q be r(-7). Calculate the highest common factor of q and 39.
3
Suppose m - 5 = -2. Calculate the highest common factor of 6 and m.
3
Suppose 4*f - 4*z - 136 = 0, -3*z - 166 + 28 = -4*f. Calculate the highest common factor of f and 9.
9
Let l be (-19)/(-6) - (-4)/(-24). Suppose -28 = -l*d + 17. Calculate the greatest common divisor of d and 75.
15
Let i(b) = b**3 - 4*b**2 + b - 5. Let r = -6 + 10. Let o be i(r). Let a be o/2 - (-321)/2. Calculate the greatest common divisor of 16 and a.
16
Suppose -2*b - 3*b - u + 105 = 0, b + 2*u = 30. Suppose 14*w + 4*w = 72. What is the greatest common factor of b and w?
4
Let t be (546/(-56))/(1/376). Let c be (1 + t)*14/(-35). Let q be c/14 - 16/(-56). What is the greatest common factor of q and 42?
21
Let z be (-28)/(-14)*7/(-2). Let r be 18/(2/z*(-14)/22). Calculate the greatest common factor of 11 and r.
11
Suppose 4*y - 9 = 3*g, 0*y - 19 = y - 5*g. Let s(z) = z**3 - 5*z**2 + 2*z - 8. Let x be s(y). Let v = 82 + -22. What is the greatest common divisor of v and x?
20
Suppose 758 = 14*u - 838. What is the highest common divisor of 1254 and u?
114
Let h(f) = f + 9. Let y be h(-3). Let n be 178/12 - (-1)/y. Calculate the highest common divisor of n and 10.
5
Let c be ((-1)/3)/(15072/(-1674) - -9). Calculate the highest common factor of 248 and c.
31
Let a be ((-50)/(-15))/((-6)/(-99)). Calculate the highest common divisor of a and 121.
11
Let x be 3/(-6) + (-22)/12*-3. Calculate the greatest common factor of x and 15.
5
Suppose 5 = 5*w, 0*w = -t - 2*w + 11. Let o be (-15)/20*8/(-6). Calculate the greatest common divisor of o and t.
1
Suppose 0*d - 20 = -4*d. Suppose 0 = -4*h + 3*a + 112, d*h - 141 = -a + 5*a. Calculate the greatest common factor of h and 15.
5
Suppose -595 + 535 = -2*m. Calculate the greatest common divisor of m and 54.
6
Let s be -666*(54/12 + -5). What is the greatest common factor of s and 36?
9
Let x(u) = -u + 7. Let q be x(-1). Calculate the greatest common factor of 152 and q.
8
Let c(g) = 2*g**2 + 3*g - 19. Let j = 37 + -43. Let b be c(j). What is the highest common divisor of b and 5?
5
Suppose 2*j + 5*b = 3*b + 250, 4*j - 472 = 3*b. Calculate the highest common factor of j and 11.
11
Suppose -23*y = -19*y - 12. Suppose 0 = -2*h + j + 50 + 28, -y*h + 2*j + 119 = 0. What is the highest common divisor of h and 111?
37
Suppose -53 = -4*r + t + 74, 4*t + 60 = 2*r. Suppose 0 = 14*y + 33*y - 188. Calculate the highest common divisor of r and y.
4
Suppose 4*k - 9*v - 43 = -8*v, 0 = k - v - 13. Calculate the highest common factor of k and 2510.
10
Let z = -28 + 24. Let v be (-12)/z + 4 - 3. Calculate the greatest common factor of v and 44.
4
Suppose -y - 16 = 3*y. Let x be (-15 + -1)*(y + 2). Let h be (-1 - -4) + 95 - 10/5. Calculate the highest common divisor of x and h.
32
Suppose 26*g - 29*g + 33 = 0. Calculate the highest common divisor of g and 517.
11
Let p(h) = -3*h - 2. Let y be p(-1). Suppose 2*o = -4*u + 16, 2*o + u - 14 = -2*u. Suppose o*a = 6*a - 2. Calculate the highest common divisor of y and a.
1
Let s be 4/(-6)*6/4. Let o = 69 - s. Suppose 0 = n - 14 - 14. What is the highest common factor of o and n?
14
Let y = -4 - -6. Suppose -1 = y*p - 11. What is the highest common divisor of 1 and p?
1
Suppose 0 = -3*h - 2*h + 25, -3*h = -2*y - 169. Let c be (-3 + 18/14)*y. Let b be ((-14)/3)/((-8)/c). Calculate the highest common factor of 11 and b.
11
Let f = 54 - -1. Suppose -34*b = -33*b - 11. Calculate the greatest common divisor of f and b.
11
Let x = -9 - -14. Let d(t) be the second derivative of t**5/20 - t**4/4 - t**3 - 3*t**2 + 30*t. Let h be d(x). What is the greatest common factor of 112 and h?
14
Suppose 0 = 3*b + 2*r - 64, 26 = -0*b + 2*b - 2*r. Let o = 31 + b. Let t(y) = -y**2 - 7*y + 1. Let n be t(-6). What is the highest common divisor of o and n?
7
Let w(u) = u**2 - 15*u + 7. Let x(z) = -z**2 + 14*z - 6. Let l(d) = 6*w(d) + 7*x(d). Let v be l(6). Calculate the highest common divisor of v and 96.
12
Let j(l) = -l**2 + 7*l. Let t be (1 - 2)*-4 - -1. Let y be j(t). Suppose -y = 4*i + i - 4*m, -3*m + 23 = 4*i. What is the greatest common divisor of 4 and i?
2
Let z(x) = x**3 + 2*x**2 - 5*x - 24. Let u be z(4). What is the greatest common divisor of 143 and u?
13
Let i be (16/6)/(13/39). Suppose 2*j = -0*j + i. Let t be 1 + 0/j + 3. Calculate the highest common factor of t and 12.
4
Suppose 4*l - 60 = 148. Suppose -5*d - 6*x + 60 = -11*x, -2*x = -2. Calculate the highest common factor of l and d.
13
Let t = 10 - 5. Let p(h) = -6*h - 27. Let j be p(-5). Suppose 2*a = -0*a + 8, d = a - j. Calculate the greatest common factor of d and t.
1
Let a(l) = 79*l - 21. Let j be a(3). What is the greatest common factor of j and 24?
24
Let p = -14 + 19. Calculate the greatest common divisor of 40 and p.
5
Let o(w) = 2*w**2 - 17*w + 75. Let c be o(-15). Suppose 0 = -3*p + 5*d + 633 - 196, -c = -5*p - 2*d. What is the greatest common factor of p and 22?
22
Let a be (34/3)/((-2)/3). Let u = a - -19. Suppose -3*d = -4*d + u. Calculate the greatest common divisor of 4 and d.
2
Let o(l) = 4*l - 6. Let b be o(2). Suppose -b*n + 13 - 7 = 0. Suppose 6*i - n*i = 408. What is the greatest common divisor of i and 17?
17
Suppose -5*x = -q - 11, -2*x = 5*q - 3*q - 14. Suppose 5*u + 3*k - 194 = 0, q*k - 80 = -5*u + 112. What is the highest common divisor of 60 and u?
20
Suppose 75 = 2*l + 3*l. Suppose 3*n = -l, 3*n - 4*n - 5 = -2*w. Suppose -a + 25 + 19 = w. What is the greatest common divisor of 110 | {
"pile_set_name": "DM Mathematics"
} |
4 + f. Which is smaller: q or 0?
0
Let k = 123151/18 - 6844. Let v = k + 16/9. Which is bigger: 2 or v?
2
Let k be (-12 - -12) + 2/(-4). Which is smaller: 1 or k?
k
Let x = 26 - 44. Is x at most -19?
False
Let h = 4.5 - 1.5. Is -1 < h?
True
Suppose 2*t - 16 = -2*n, 0 = n + 5*t - 5 - 15. Suppose 2*i + l - 4*l - 11 = 0, l = -3. Let w = 4 + i. Is w less than or equal to n?
True
Let j = -9071/1210 + -2/605. Let g = 7 + j. Suppose 0 = 6*w - 9*w. Which is smaller: w or g?
g
Let s = 25 - 37. Let i = s + 2. Is i greater than or equal to -9?
False
Let l = 362/3 - 118. Is l <= 3?
True
Let i be (140/(-114) - -1) + 0. Let x = -2/19 + i. Suppose 0 = 5*b - 5, -o = b - 3*b + 3. Which is smaller: x or o?
o
Let q = 3.2 - 2.9. Let s = -8 - -7.3. Let a = q - s. Which is smaller: a or 3?
a
Suppose -5*z - 2*s + 15 = 0, 0*z - 5*s = z - 26. Let c be 119/42 - z*3. Is 0 not equal to c?
True
Let l = 13 + -12.96. Let r = l - -1.96. Which is smaller: -0.3 or r?
-0.3
Suppose -28 = -2*s + 4*c, -c = -5*s - 4*c + 5. Suppose 3 - 15 = -s*j. Is j != 2?
True
Suppose 2*k + 4*t + 6 = 0, 4*k - 3*t + 1 = -0. Are k and 2/21 unequal?
True
Suppose 5*j = j + 8. Suppose 2*y - 2*g = -j + 16, 4*y - 29 = 5*g. Suppose -3*x + 3*u + 18 = 0, -4*x + 2*u + 8 = -y. Which is bigger: x or -1?
x
Let l = -20 + 34. Let p = l - 13. Is 3/16 equal to p?
False
Let k = -1.6 - 1.4. Let c = -1.1 - -0.8. Is k at most as big as c?
True
Let m = -18 - -8. Let g be (1/(-2))/((-5)/m). Are g and 2 unequal?
True
Let s = -31 - -63/2. Let v = -0.24 - 27.76. Let w = v - -25. Is s at most w?
False
Suppose m = -0*m + 5. Suppose 7*y + 3 = 4*y, m*g + 4*y - 1 = 0. Is -2/5 less than g?
True
Suppose h - 12 = -2*o, h = -o + 6*h - 5. Suppose -g + o*g = -32. Which is bigger: g or -9?
g
Suppose -3*t + 2*t - 4 = 0. Let g be t/18 + 98/198. Is g greater than -1?
True
Let t = -33.075 + 0.075. Does 1 = t?
False
Let u be 2*((-85)/(-2) + -1). Let a be ((-15)/21)/(6/u). Let x = -61/6 - a. Which is bigger: x or -1?
x
Let l be (-8)/12*(-5 + 2). Suppose -2*i = -i + l. Which is bigger: -3/7 or i?
-3/7
Suppose -2*r = -10, -3*n + 6*n - 22 = -5*r. Which is bigger: n or 1/40?
1/40
Suppose 1 = 4*p - f - 7, 3*f = p + 9. Let c be 1*(-1 + (3 - p)). Which is bigger: c or -2?
c
Let q = -7 - 8. Let b be (-17)/4 + q/20. Does b = -3?
False
Let d = 259/201 + 3/67. Let f = 19 - 17. Do d and f have different values?
True
Let k = 4.9 + 0.1. Let a = 6 - k. Let b = 1 - a. Are b and 0 nonequal?
False
Suppose 0 = -0*r - 2*r + 6. Let u be r/9 - (-22)/(-3). Is u greater than or equal to -8?
True
Let x = -11 - -7. Let l be (x/(-6))/((-14)/(-3)). Suppose 0 = -2*w - 2*v - 6, 5*v + 0 = w - 9. Is w >= l?
False
Let u = -4 - -10. Let s(w) = -w**3 + 7*w**2 - 7*w + 3. Let r be s(u). Which is greater: -21/5 or r?
r
Let u be 1388/20 - 6/(-10). Let j be 1/5 - 74/u. Suppose 0 = d - 2*d - 2. Is j bigger than d?
True
Let i(l) = 3*l**2 + 21*l - 1. Let v be i(-7). Which is smaller: v or -6?
-6
Suppose -2*p + 3*p - 5 = 0. Suppose 0 = -6*h + h - p. Is -3/5 at most as big as h?
False
Let v = 1.5 + -8.5. Let c = v - -7. Which is smaller: -4 or c?
-4
Suppose 2*w - 2*f = -0*w + 4, -3*f = 5*w - 10. Suppose -g - 3 = -w. Which is smaller: 2 or g?
g
Let k be 20/(-30) - 140/6. Is -24 greater than k?
False
Suppose -p = 5*c + 3*p + 16, 0 = -4*c - p - 4. Which is smaller: 19 or c?
c
Let j(x) = x + 2. Let r be j(-8). Let i(t) = t**3 + 5*t**2 - 3*t. Let c be i(r). Let s be 6/c*(0 + 2). Which is smaller: s or -1?
-1
Let o be ((-3)/6)/((-12)/(-16)). Is -29 less than o?
True
Suppose q - m = -4, -5*m + 22 = -5*q + 2*q. Is q at most 2/561?
False
Let i = -0.091 + 1.091. Is -0.029 less than i?
True
Let s be (-7)/((-42)/(-9)) - -1. Which is smaller: 0 or s?
s
Let z be (7/12 + 0)/((-90)/40). Which is bigger: z or -1?
z
Let m be (6/4)/((-7)/14). Let a = -3 - m. Let s = a - 0. Is s bigger than 0.2?
False
Suppose 24 = 4*p + 12. Which is smaller: 12/5 or p?
12/5
Suppose -l - 3*o + 2*o = -2, 5*l = 3*o + 2. Which is bigger: -4/5 or l?
l
Let z be (1 - 0 - 3/6)*2. Which is bigger: z or 2/105?
z
Let g = 68.62 - 83.7. Let x = g - -15. Is x greater than or equal to -1?
True
Let p = 13 - 2. Let k = 12 - p. Which is smaller: 2 or k?
k
Let g be -3 - ((-112)/(-12))/(-4). Is -1 greater than or equal to g?
False
Suppose -5*i - n - n + 19 = 0, 3*i - 17 = -4*n. Suppose 2*y = 5*y + i. Is y at most as big as -1/4?
True
Let h(c) = -6*c. Let o be h(1). Let k(b) = b**2 + 5*b - 3. Let d be k(o). Suppose 4*r = 3*v - 2 + 1, -d*r - 6 = -4*v. Does v = 1?
False
Let g(w) be the first derivative of 4*w**2 + 2*w + 2. Let j(y) = 3*y + 1. Let o(t) = 4*g(t) - 11*j(t). Let z be o(-5). Is 4 at least as big as z?
True
Let q = 126 + -125. Which is smaller: q or -3/61?
-3/61
Let i = -44 + 42. Is -2 < i?
False
Let r(d) = d + 1. Suppose -3*v + 5 = 2. Let s be 1 - (v + -3 + 2). Let t be r(s). Which is bigger: t or 5/3?
t
Let l = 23 - 39. Is 0.1 >= l?
True
Suppose -m - 4 = -4*a, 3*a - 4 + 2 = m. Suppose m*n = n. Let f be (n + -1)/((-14)/2). Does 1 = f?
False
Suppose 4*u - 2*z = 3*z - 27, 5*u + 2*z = -9. Let c(p) = p - 9. Let t be c(6). Is t < u?
False
Let l = -30 + 32. Is l at most 1?
False
Let f = 5.6 + -2.6. Is 3/2 equal to f?
False
Let m(i) = -3*i - 26. Let y be m(-11). Is y smaller than 1/4?
False
Let j be 1/2 + 35/(-110). Is 1 smaller than j?
False
Let n be -1*((2 - 4) + 6). Let x be n/90*15/(-9). Which is smaller: 0 or x?
0
Suppose -319 = -0*j + 11*j. Is j at least as big as -27?
False
Let j = -2.5 - -7.5. Let t = 2 - -1. Let k = j - t. Is k >= 1/4?
True
Let r be 544/(-40) + ((-14)/10 - -2). Suppose a + 6 = -2*y, -4*a + 0*a = -3*y + 57. Which is greater: a or r?
a
Let x = 3 + -2.96. Let v = -3.04 + x. Is v greater than or equal to -1?
False
Suppose -4*q + 6 = -4*i + 2, 10 = 2*q + 2*i. Suppose v + 4*d = 15, 0 = -v + 4*v - 4*d + q. Which is smaller: v or 4?
v
Let p = -0.043 - -40.043. Is 2/3 less than p?
True
Let f be ((-573)/12)/(9/12). Let a = 63 + f. Let i be (-2 + (2 - 0))/(-1). Which is smaller: i or a?
a
Let u = 2.6 + -2.6. Suppose -5*f = -35 + 10. Suppose 2*z = -2*a - 6, 7*a - 6 = 3*a + f*z. Which is greater: u or a?
u
Suppose 0 = -8*v + 7*v + 6. Suppose v*f = 3*f. Which is bigger: f or -3/8?
f
Let o(r) = r**3 + 5*r**2 - 6*r + 3. Let v be o(-6). Let n = 246 - 731/3. Which is smaller: n or v?
n
Let a = -56 + 57. Is 11/5 <= a?
False
Let r be 4/(-10) - (-25047)/(-4895). Let k = 3/178 + r. Is 2/5 < k?
False
Let f(u) be the second derivative of -u**4/24 + u**3/3 + u**2 - 2*u. Let a(r) be the first derivative of f(r). Let i be a(7). Is i at least -4?
False
Let v = 20 - -1. Suppose 2*f - 5*m = -v, -3*m + 2 = -3*f - 7. Is -1 > f?
False
Let f = 12 + -13. Which is greater: -8/3 or f?
f
Let w = 179 + -1255/7. Let d be (-2 - 118/(-58))*-2. Is w at least d?
False
Let n = 1 - 1. Let p be (-8)/(-12) + 0 + n. Is 1 at least p?
True
Let w = 56 - 46. Which is smaller: 1/2 or w?
1/2
Let a = -0.65 - 2.25. Let j = -3 - a. Let y = -0.1 + j. Which is smaller: 3/4 or y?
y
Let n(h) = -7*h**2 + h**2 + 6*h - 2 + 7*h**2. Let a be n(-6). Let o be (-9)/(-2) + (-1)/a. Are o and 5 nonequal?
False
Let v = 24/11 + -731/330. Which is bigger: v or 0?
0
Let k be 2/2 - (-15)/(-12). Which is smaller: 3 or k?
k
Suppose 4*i - i - 4*m = 33, -i = 3*m + 2. Which is greater: 4 or i?
i
Suppose -2*k + 16 = 2*k. Suppose -3*p = -l - 2, -k*p - 5 = l - 3. Let g(i) = -i**3 + 6*i**2 - 2*i + 9. Let j be g(6). Is j less than or equal to l?
True
Let s = -8.17 - -0.17. Let t = s + 8.2. Which is smaller: 2/9 or t?
t
Let u be 0*(2/4 - 0). Suppose k = 6*k - 15. Suppose 5*m + 3 = -2*f, 5*f + 6 = -k*m - 11. Is m greater than u?
True
Let j(r) = r**2 + 9*r. Let m = 21 - 30. Let i be j(m). Is 2 equal to i?
False
Suppose -g = 2*g - 4*x - 15, 4*g - 5*x = 19. Let u be (g/(-1))/(2/(-8)). Let r = 71 + -71.1. Are r and u unequal?
True
Suppose 3*x + 33 + 17 = -2*i, 4*x = i + 3. Which is smaller: i or 1?
i
Let f(i) = 3*i**2 - 8 + 2*i**2 + 2*i + 3 + i**3. Let w be f(-4). Let u be (2/w)/((-2)/3). Which is bigger: u or 3?
3
Suppose 0 = 4*n + 4*o + o + 95, -o + 57 = -3*n. Is n <= 1/2?
True
Let b = 4 - 1. Let w = -2 + -2. Let l be (1*-16)/w*1. Are b and l nonequal?
True
Let j = -9.5 - -10.5. Is 1/2 not equal to j?
True
Let k = 0 - -1. Let v = 38/5 + -484/65. Are v and k non-equal?
True
Let s be 4 - (-2 + 4 + -2) | {
"pile_set_name": "DM Mathematics"
} |
57950568 divided by 6
-9658428
What is 313453 divided by 2?
313453/2
215158 divided by -107579
-2
Divide -8088 by -4044.
2
Divide -2033 by 9.
-2033/9
-254408 divided by -236
1078
Calculate -62 divided by 137.
-62/137
Divide 5723224 by 113.
50648
What is 0 divided by -218805?
0
Divide -3 by -75521.
3/75521
Divide 494 by -90.
-247/45
-674260 divided by -4
168565
Calculate 408128 divided by 204064.
2
What is -65396 divided by 1?
-65396
Divide 2 by 104104.
1/52052
What is 6098 divided by -2?
-3049
What is -10 divided by -2165?
2/433
-5830 divided by 1
-5830
What is 1318132 divided by 1?
1318132
77034 divided by -38517
-2
What is -74 divided by -34457?
74/34457
561808 divided by -561808
-1
What is 119674 divided by -1129?
-106
What is -5 divided by -24100?
1/4820
Calculate 458664 divided by -232.
-1977
Divide 28465 by 5693.
5
Calculate 6915 divided by -24.
-2305/8
Calculate 3129 divided by 3.
1043
Divide -71312 by -4457.
16
Calculate -4472 divided by 34.
-2236/17
Calculate 1 divided by 13797.
1/13797
What is 7736 divided by -1?
-7736
Calculate 508956 divided by 581.
876
Calculate -230413 divided by -7.
230413/7
Divide 392 by -25212.
-98/6303
Divide 1428320 by 6.
714160/3
Divide -348262 by -34.
10243
What is -8265 divided by -11?
8265/11
What is 98426 divided by 6?
49213/3
1063132 divided by -28
-37969
-2938995 divided by 1
-2938995
Calculate -13855 divided by 5.
-2771
What is 550 divided by -317?
-550/317
Divide 33413 by -1.
-33413
Calculate -59981 divided by -3.
59981/3
What is 80872 divided by 89?
80872/89
-104028 divided by 6
-17338
Divide -5 by -12262.
5/12262
39760 divided by -5
-7952
15099 divided by -75
-5033/25
Divide 35295 by 905.
39
-216788 divided by 16676
-13
What is -5492 divided by 81?
-5492/81
Divide 321 by -2552.
-321/2552
3587705 divided by -717541
-5
Calculate 215 divided by 125.
43/25
Divide 805 by -13.
-805/13
Calculate 0 divided by 71130.
0
Calculate -9471 divided by -33.
287
878554 divided by 269
3266
Calculate 3 divided by 308810.
3/308810
What is 1161519 divided by 3?
387173
What is 65957 divided by 4?
65957/4
Calculate -5 divided by 131208.
-5/131208
Divide -2460 by 20.
-123
Divide -32 by -20155.
32/20155
28091 divided by 40
28091/40
What is 8 divided by 1918?
4/959
Divide -29781 by 27.
-1103
2691198 divided by -14706
-183
Divide 7570 by 208.
3785/104
13 divided by -9136
-13/9136
Calculate -250096 divided by -35728.
7
Calculate -238787 divided by -89.
2683
What is 122 divided by 37?
122/37
Calculate 1507 divided by -214.
-1507/214
What is 907 divided by 1057?
907/1057
Divide 46470 by -23235.
-2
-160 divided by 163
-160/163
Divide -3642126 by -1821063.
2
Divide -145 by 380.
-29/76
What is -137673 divided by -4?
137673/4
What is -44224 divided by 11056?
-4
What is -2 divided by 120334?
-1/60167
What is 34099 divided by -6?
-34099/6
Divide 118990 by -5.
-23798
1089080 divided by -217816
-5
-5502031 divided by -6
5502031/6
2742 divided by -52
-1371/26
What is 9993 divided by -16?
-9993/16
-3643 divided by -1
3643
Divide -10353 by 4.
-10353/4
865046 divided by 343
2522
-435937 divided by -2887
151
180873 divided by 29
6237
Calculate 214410 divided by -107205.
-2
What is -49700 divided by -9940?
5
What is 2655440 divided by -8?
-331930
What is -4 divided by 84822?
-2/42411
Calculate -10 divided by -799016.
5/399508
Divide -61754 by 802.
-77
-99502 divided by 6
-49751/3
What is 250755 divided by 1?
250755
What is -1105630 divided by -221126?
5
Calculate 436845 divided by 29123.
15
What is -206442 divided by 6?
-34407
Divide -7123088 by 1.
-7123088
Divide 344731 by -2.
-344731/2
What is 61677 divided by -979?
-63
Calculate -35485 divided by -22.
35485/22
Divide 137 by -333.
-137/333
What is -58960 divided by 335?
-176
Calculate 24626 divided by 24626.
1
Divide -3 by -15368.
3/15368
Divide -1740378 by 1346.
-1293
What is -1712 divided by -428?
4
-108 divided by 11611
-108/11611
16146 divided by -18
-897
36646 divided by 3
36646/3
2871312 divided by 6
478552
What is -14752 divided by 2?
-7376
Calculate -6151 divided by -6151.
1
Divide 469198 by 6.
234599/3
78725 divided by -1675
-47
Calculate -1287 divided by 392.
-1287/392
What is -3864 divided by 8?
-483
109243 divided by -6
-109243/6
What is -22723 divided by -6?
22723/6
What is 7536 divided by 6?
1256
493185 divided by -49
-10065
Divide -61 by 387.
-61/387
Calculate 42825 divided by -75.
-571
12947 divided by 56
12947/56
Calculate 653708 divided by 11.
59428
What is -20873 divided by 16?
-20873/16
-207440 divided by -12
51860/3
What is -397730 divided by 2?
-198865
Divide -367160 by 4.
-91790
-678293 divided by -61663
11
Calculate 369480 divided by 10.
36948
-172 divided by -114
86/57
-366 divided by 8841
-122/2947
4158 divided by -66
-63
What is -100 divided by 29?
-100/29
Calculate 342 divided by -1545.
-114/515
Calculate 22444 divided by -31.
-724
Divide -383376 by 8.
-47922
Divide 615 by 16.
615/16
What is 0 divided by 84?
0
343863 divided by 39
8817
Divide 1118328 by 372776.
3
Divide -356270 by -23.
15490
Divide -49657 by 2159.
-23
-3048393 divided by -1073
2841
1940218 divided by 2
970109
What is 1486580 divided by 297316?
5
What is 4 divided by -11063?
-4/11063
Calculate 5 divided by -19788.
-5/19788
-309423 divided by -6
103141/2
What is -36099 divided by 12033?
-3
What is -29993 divided by 2?
-29993/2
What is 113949 divided by 3453?
33
What is -212292 divided by 70764?
-3
Divide 203064 by -4.
-50766
Calculate 353 divided by -347.
-353/347
671524 divided by 23156
29
Divide 67620 by 196.
345
What is -48222 divided by -12?
8037/2
8615 divided by -123
-8615/123
-4859 divided by -19
4859/19
Calculate 1092 divided by -654.
-182/109
Divide 0 by -111550.
0
What is 2294650 divided by 2?
1147325
Divide -915 by 5.
-183
Calculate -3054336 divided by 6.
-509056
What is -3 divided by 17870?
-3/17870
Calculate -1755 divided by -5587.
1755/5587
What is -908 divided by -53?
908/53
36312 divided by 2136
17
What is 14085 divided by -8?
-14085/8
102 divided by -189
-34/63
What is 183740 divided by -4?
-45935
What is 13492 divided by 6746?
2
Divide 29624 by -1058.
-28
Calculate -48910 divided by 146.
-335
What is -8225 divided by -6?
8225/6
What is 5 divided by -1325?
-1/265
Divide 15468 by 2.
7734
What is -82450 divided by 16490?
-5
Divide 75115 by -3.
-75115/3
Divide -325 by 272.
-325/272
Calculate -86638 divided by -5.
86638/5
Divide 54948 by 2.
27474
17513 divided by -83
-211
-58928 divided by -29
2032
What is -233 divided by -904?
233/904
-180116 divided by 1
-180116
Divide -44801 by -3.
44801/3
4 divided by -12461
-4/12461
Divide 0 by 1789642.
0
What is -285645 divided by -3?
95215
Divide 210464 by -4.
-52616
387765 divided by -5
-77553
What is 486600 divided by -811?
-600
-2 divided by -8039
2/8039
Calculate -37911 divided by -5.
37911/5
1365549 divided by 3
455183
Calculate -8048 divided by 8048.
-1
What is 95184 divided by -3?
-31728
Calculate -134486 divided by -22.
6113
-169776 divided by -42444
4
What is 7 divided by 10391?
7/10391
Divide 36 by 464.
9/116
What is 5 divided by -14603?
-5/14603
What is -195 divided by 1244?
-195/1244
Divide 62391 by 3.
20797
1935 divided by -40
-387/8
-1176 divided by -6
196
What is -4 divided by -2132?
1/533
Divide 447 by 64.
447/64
What is 0 divided by 136598?
0
Divide -411564 by 6.
-68594
What is 851280 divided by 4?
212820
Calculate -31636 divided by -6.
15818/3
Divide 14 by -75093.
-14/75093
Divide -28455 by 15.
-1897
Calculate -74443 divided by 4379.
-17
Calculate 5 divided by 1590536.
5/1590536
Calculate 136485 divided by -27297.
-5
What is -3413167 divided by 6?
-3413167/6
Divide 234450 by -225.
-1042
Calculate 24410 divided by -2.
-12205
Divide 4 by -458766.
-2/229383
Calculate -665192 divided by -4.
166298
-12658 divided by 2
-6329
Calculate -512190 divided by 102438.
-5
Calculate -85895 divided by -17179.
5
Divide 12803 by 1829.
7
14767118 divided by -2
-7383559
What is 13 divided by 31209?
13/31209
Divide 127 by -27.
-127/27
Divide -17056 by -8528.
2
What is -73790 divided by -235?
314
What is -3333 divided by 33?
-101
Calculate 406 divided by -287.
-58/41
Calculate 17515 divided by 5.
3503
What is -3139541 divided by 6?
-3139541/6
What is -149100 divided by 75?
-1988
Divide -7067764 by 2101.
-3364
Calculate -619 divided by 2331.
- | {
"pile_set_name": "DM Mathematics"
} |
(-7). Calculate the greatest common factor of p and b.
11
Let k = 7 - 0. Suppose s = -5*b - 23, -s + 5*s = b - 8. Let j be k + (s - 4/(-2)). Calculate the highest common factor of 4 and j.
2
Let n(o) = o**3 + 6*o**2 - 2*o - 8. Let u be n(-6). Suppose -u*j + 6 = -j. Let l be 5 + 2/2*j. What is the highest common factor of 28 and l?
7
Suppose -24 = -4*u + 2*u. Suppose 0 = -v - 2*v + u. Suppose f + 108 = v*f. Calculate the greatest common divisor of f and 12.
12
Let o = -132 + 190. What is the highest common factor of 406 and o?
58
Suppose -4*d - 8 = -4*j, 7 = 2*j + j - 2*d. Calculate the greatest common factor of j and 39.
3
Suppose -2*d + 5*g + 1510 = 3*d, -317 = -d + 4*g. Calculate the highest common divisor of 33 and d.
33
Let f = 27 + -12. Suppose -3*k = f, 2*v + 3*k = v - 1. Suppose -2*r = -22 - v. What is the greatest common divisor of r and 12?
6
Let l = 59 - 23. Calculate the greatest common factor of l and 24.
12
Let u = 177 + -89. Let x(g) = g + 19. Suppose 14*w = 11*w - 33. Let d be x(w). Calculate the greatest common factor of u and d.
8
Let v be 8 + -5 - (1 - 0). Calculate the greatest common factor of v and 16.
2
Let s = -24 + 52. What is the greatest common divisor of s and 84?
28
Let n be (-21)/((-4)/(-16)*6). Let u = n - -15. What is the highest common divisor of u and 9?
1
Let d be (-3)/12 - 2026/(-8). Let w = -13 + 36. Calculate the greatest common factor of d and w.
23
Suppose -3*y - 5 = 4. Let i be 29 - ((-3)/3 - y). Let w = i - 7. Calculate the greatest common factor of 160 and w.
20
Suppose 2*j + x = 85, 2*j + 164 = 6*j + 4*x. Suppose 284 = 5*k - 81. Suppose c = k + j. What is the highest common factor of c and 13?
13
Suppose -3*p + 4*y = -188, -4*p + 288 = -y + 5*y. What is the greatest common divisor of 612 and p?
68
Suppose -5*d + 10*d + 10 = -k, -4*k - 128 = -2*d. Let o = -17 - k. Calculate the highest common factor of o and 143.
13
Let y(c) = -c**3 - 19*c**2 - c + 21. Let q be y(-19). What is the highest common divisor of q and 40?
40
Suppose 9 = 2*y + y. Suppose 8*v - 100 = y*v. Let a(b) = -b**3 + 11*b**2 + 21*b + 12. Let k be a(12). What is the highest common divisor of k and v?
20
Let g(r) = 21*r - 4. Let c be g(9). What is the greatest common divisor of c and 37?
37
Let c be 32/(-3) + 14/21. Let n = -10 - c. Suppose n*p = -p + 200. What is the highest common divisor of 25 and p?
25
Suppose 5*l - 175 = -10. What is the highest common factor of l and 11?
11
Suppose -3*y = -5*p + 87, p - 3*y = 2*p - 21. Calculate the highest common divisor of p and 45.
9
Let o(g) = -3*g + 51. Let x be o(0). Calculate the highest common factor of x and 34.
17
Let u(j) = 10*j - 13. Let t(x) = -3*x + 4. Let f(k) = 7*t(k) + 2*u(k). Let s be f(-8). Calculate the greatest common divisor of 4 and s.
2
Suppose -5*p + 8 + 132 = 0. Calculate the highest common factor of p and 42.
14
Let v(c) = 13*c**2 - c. Let n be v(-1). Suppose -1 = -f - 3. Let i be f/6 - (-127)/3. Calculate the highest common factor of i and n.
14
Let t(o) = 137*o - 2. Let l be t(1). Suppose 0*v = -v + l. Calculate the greatest common divisor of v and 15.
15
Let w be 8/6 + (-4)/(-6). Suppose 6 + 0 = 3*b. Let j be 2/((w + 0)/b). Calculate the greatest common factor of j and 3.
1
Suppose 0 = m + 4*m. Suppose -2*f + 57 + 55 = m. Calculate the highest common divisor of f and 7.
7
Suppose 13 = -3*l - 5. Let y be 2/6*(0 - l). Let z be 11 + 0/y + 2. What is the greatest common divisor of z and 13?
13
Suppose 13 = -d + 41. Suppose 5*b - 2*z + 70 = 0, 2*b = z + z - d. Let m = 30 - b. What is the highest common factor of 4 and m?
4
Suppose -78 = -4*x + x. Calculate the highest common factor of x and 39.
13
Let x = -9 - -31. Let z = x + -7. Let v be (6*5/(-8) - 0)*-4. Calculate the highest common divisor of v and z.
15
Let p be (0 - -10)*(-1)/(-2). Suppose -p*f = 4*b - 473, -3 = -3*f + 12. What is the highest common factor of 16 and b?
16
Suppose 35 = -a + 6*a. Let k = a - -3. What is the highest common factor of k and 90?
10
Let b(a) = a**2 - 5. Suppose 6 = -4*q + 6*q - 4*c, 3*c - 3 = 0. Let z be b(q). Calculate the highest common factor of 8 and z.
4
Let f = -3 + 9. Suppose -z - f*r + 21 = -2*r, 3*r = -z + 18. Let b(n) = 3*n - 3. Let m be b(4). What is the greatest common divisor of m and z?
9
Let l(f) = f**2 + 8*f + 7. Let a be l(-15). Calculate the greatest common factor of 7 and a.
7
Suppose 0*o - o = -4. Let s be -1 + -1 + -3 + 1. Let a be (s/(-5))/((-3)/(-15)). What is the greatest common factor of o and a?
4
Suppose t + 2 - 4 = 0. Let n(v) = -2 - 5 - t*v - v. Let l be n(-5). What is the greatest common divisor of 2 and l?
2
Let d be ((-26)/(-8))/((-2)/(-8)). Calculate the greatest common factor of 13 and d.
13
Suppose -a + 2 = 2*h - 5*a, 0 = -a + 2. Let l(y) = -y**2 + 5*y + 4. Let i be l(3). What is the greatest common factor of h and i?
5
Suppose -g - 2*p + 6 = 0, -12 = g - 5*g + 4*p. What is the greatest common factor of g and 16?
4
Suppose 0 = -3*o - 5*c + 76, 5*c + 4 - 12 = o. Calculate the greatest common divisor of 34 and o.
17
Suppose -3*s + 319 = i + 3*i, i = s - 104. Suppose -7*r = -4*r - s. Calculate the highest common divisor of r and 7.
7
Let s = -440 + 671. Let b(k) = -k**3 + 9*k**2 - 3*k + 13. Let m be b(9). Let g be (-5 + 2)/(2/m). What is the greatest common factor of g and s?
21
Let r = 84 - -46. Calculate the greatest common factor of r and 10.
10
Let b be -4*1/(2/(-7)). Let n be (-1)/(-2)*(-10)/(-1). Suppose -w = -4*w + 3*m + 72, n*m + 99 = 4*w. Calculate the greatest common factor of b and w.
7
Let k(x) = 15*x**3 + x**2. Let i be k(1). Let a = i + -10. Calculate the greatest common divisor of 66 and a.
6
Suppose -4*b + 5*k + 19 = 0, 3*b - b - 4*k = 8. Let c = -71 - -113. Calculate the greatest common factor of c and b.
6
Suppose -2*n + 4*n + 4*k - 20 = 0, 0 = -3*n + 3*k + 12. What is the highest common divisor of n and 48?
6
Suppose -3*f + 4*f = 3. Suppose f*r - 3*y = -r - 12, -2*r + 16 = 4*y. Suppose 3*n - 133 + 7 = r. Calculate the greatest common factor of 6 and n.
6
Let g(t) = 2*t**2 + 4*t + 2. Let s be g(-5). Let h(z) = z - 2. Let d be h(6). Suppose d = 5*p - 16. Calculate the greatest common divisor of p and s.
4
Let l = 125 - 111. Calculate the greatest common factor of 112 and l.
14
Let g(v) = -v**3 - 2*v**2 + 2*v - 1. Let n be g(-3). Suppose -n - 100 = 3*d. Let o = d + 50. Calculate the highest common divisor of 80 and o.
16
Let n = -12 - -28. Calculate the highest common divisor of 32 and n.
16
Let m be 8920/45 - (-4)/(-18). Calculate the greatest common factor of m and 18.
18
Let y be (1/1)/((-4)/(-12)). Let f be y*((-1)/3 + 1). Let h be f + -1 + (-4 - -133). Calculate the highest common divisor of 13 and h.
13
Let q(y) = 2*y**2 + 5*y + 2. Let f be q(-6). What is the highest common factor of f and 110?
22
Let c be 4 - (-36 - (-2)/(-1)). Calculate the greatest common factor of c and 126.
42
Let u = 8 - -11. What is the greatest common factor of u and 76?
19
Let f(t) = t**2 - 7*t - 8. Let a be f(7). Let v = 15 + a. Calculate the greatest common divisor of 14 and v.
7
Suppose 4*c + 5*b = 3*c + 161, 0 = 5*c + b - 877. What is the greatest common divisor of 16 and c?
16
Let s(p) = 2*p**3 - p**2 - 2*p + 3. Let n be s(2). What is the greatest common divisor of 55 and n?
11
Let h be 21 + 0/3 - 3. Calculate the highest common divisor of h and 72.
18
Let z = -35 + 50. What is the highest common divisor of z and 165?
15
Let v be 5/(134/66 - 2). What is the greatest common divisor of v and 66?
33
Let g(q) be the third derivative of q**5/60 - q**4/12 + 7*q**3/6 - 6*q**2. Let n be g(5). Calculate the highest common factor of n and 198.
22
Suppose 0 = 2*p - 13 + 3. Suppose -5*d + 36 = u, 0 = p*u + 3*d - 49 - 197. Let l be 2 + (-4)/2 + 17. Calculate the highest common divisor of u and l.
17
Suppose 3*s + 4*q = 194, -35 = s - 5*q - 125. What is the greatest common factor of 10 and s?
10
Let r = -45 + 131. What is the greatest common divisor of r and 215?
43
Let f be (6/(-5))/(6/(-20)). Let v = -10 - -12. What is the highest common divisor of v and f?
2
Let a be -21*(-1)/3*3. Calculate the highest common divisor of a and 84.
21
Let f be (-1664)/(-112) + 1/7. What is the highest common divisor of 15 and f?
15
Suppose 11 = 3*m - 7. Calculate the highest common | {
"pile_set_name": "DM Mathematics"
} |
composite?
False
Let i(y) = -1790*y - 9. Let h = -172 - -116. Let o = 55 + h. Is i(o) a prime number?
False
Suppose 8*k - 11*k + 9 = 0. Suppose k*w + 124 = -v, -3*w - 3*v - 46 = 74. Is 12/w - 14858/(-14) prime?
True
Suppose -12*k + 8850 = -13*k. Let o = k - -15079. Is o a prime number?
True
Suppose 4*i - 31 = -2*m - 13, 0 = -3*m - 3. Suppose -f = -5*g - 0*g + 6452, i*g - 6440 = 5*f. Let r = g - 798. Is r prime?
False
Let a = 126485 - 266351. Is (-3)/2 - (a/12 - 3) composite?
False
Suppose -14*o - 23 = -13*o + 5*r, 4*o - 4*r - 28 = 0. Suppose 0 = 5*n + 5*z - 2260, 0 = 5*n - z + o*z - 2240. Is n prime?
False
Let r(f) = 4*f + 24. Let t be r(-10). Let w(i) = -120*i + 35*i - 3 + 1 + 3. Is w(t) composite?
False
Let i(p) = -17*p**3 + 4*p**2 - 3*p + 4. Let s be i(-5). Let b = s - -89. Suppose -5*j + 562 = n, -j - b = -4*n - 4*j. Is n prime?
True
Suppose 0 = -2*v - 2*v + 3*k + 206, 3*v - 3*k = 156. Let w be v/13 - 4*(-3)/78. Suppose -12 = -3*n, g + 90 = w*n + 703. Is g composite?
True
Let q(b) be the second derivative of 235*b**4/12 + 2*b**3/3 - 4*b**2 + b - 5. Is q(-3) composite?
True
Let j(o) be the third derivative of 5927*o**5/60 - o**3/6 + 15*o**2. Let x be j(1). Is 2/((-17774)/x - -3) composite?
False
Let g be 20/6 - 8/(-12). Suppose 5*r + g*q - 48045 = 0, r - 4*q = -0*q + 9633. Is r a prime number?
True
Let x = -434 + 426. Let y(l) = -898*l - 285. Is y(x) composite?
False
Let u(x) be the first derivative of 55*x**3/3 + 4*x**2 + 2*x + 2. Let h(r) = 7*r**2 - 31*r + 9. Let f be h(4). Is u(f) composite?
True
Is (3 - (-111)/(-39)) + 7140825/65 composite?
False
Let p(q) = 276*q**2 + 11*q + 11. Let y be p(-1). Let z = 4913 - y. Is z a composite number?
False
Is 5350184/(-84)*(-3)/2 a prime number?
True
Let w(s) = 70*s**2 - 17*s + 949. Is w(-34) a composite number?
True
Let y(w) = 4*w**2 + 19*w - 1. Let v(u) = 4*u**2 + 19*u - 2. Let a(c) = -7*v(c) + 6*y(c). Let x(l) be the first derivative of a(l). Is x(-7) prime?
True
Let i(u) = 2*u**2 + 0*u**2 - 13 - 6 + 4*u. Suppose -2*s = -4*c + 44, 4*c + 3 - 43 = s. Is i(c) a composite number?
False
Let r(c) = 2*c + 89. Suppose -26*h + 28*h = 108. Let k = h - 27. Is r(k) prime?
False
Let h = 2 + 3. Let u(j) = 325*j**2 + 27*j + 5. Let r(x) = 65*x**2 + 5*x + 1. Let g(s) = 11*r(s) - 2*u(s). Is g(h) a composite number?
True
Let z(u) = u**3 - 6*u**2 - 5*u - 2. Let v be z(7). Let x be v/15*(-830)/4. Let k = 975 + x. Is k prime?
True
Is (-385647*(-5)/30)/(7 + (-91)/14) a composite number?
False
Suppose -l + a + 652147 + 191155 = 0, 4*a = 36. Is l composite?
True
Let f(a) = 37*a**2 - 3655*a + 59. Is f(103) a composite number?
False
Suppose -17*q + 1734987 = -1325608. Is q prime?
False
Suppose 2*x + 4*b - 18314 = 0, 2*x - 3*b - 18293 = -0*x. Is x a composite number?
False
Suppose 170*u = -56*u + 7474046. Is u prime?
True
Let o be (5 + 246/(-42))/(2/(-70)). Suppose 5*j - 2 = -h + 4, -4*j = -h - o. Is ((-1117)/2)/(1 - (-21)/h) a prime number?
True
Let z(y) = 50*y + 40*y - 27 - 8. Suppose 15 = 22*k - 21*k. Is z(k) prime?
False
Let p(m) = m**3 + 11*m**2 + 28*m - 4. Let v be p(-6). Suppose -v*w + 63090 = -119366. Is w a composite number?
False
Let d be -5 + (11 - 6 - -3) - 3. Suppose -3*g + 6515 = 4*f, -4*f - g + 4352 + 2169 = d. Is f a prime number?
False
Suppose -4*z - s = -49, 49*z - 3*s - 74 = 44*z. Let c(j) = 118*j**2 - 10*j - 1. Is c(z) a prime number?
False
Let m = 26852 + -9129. Is m a prime number?
False
Let p(l) = l**2 + 10*l + 8. Let m(h) = -4*h - 33. Let w be m(-12). Let q be p(w). Let y = q + -225. Is y a composite number?
True
Let p(v) = -714*v + 2071. Is p(-40) a composite number?
False
Let s(f) = 6419*f**3 - 11*f**2 + 5*f + 20. Is s(3) composite?
False
Let q = 152 - -472. Let i = q - 229. Is i composite?
True
Let w(l) = -l**2 + 27*l + 64. Let y(k) = -7*k - 27. Let g be y(-8). Let v be w(g). Let s(h) = 18*h**2 - 12*h + 55. Is s(v) a prime number?
True
Suppose 5*m + 860229 = 4*q, -m + 69842 = -q + 284898. Is q composite?
False
Let c(t) = -t**3 + 12*t**2 - 12*t + 16. Let l be c(11). Suppose l*j - 3*f = 10376, -5*j + 8298 = -j - f. Suppose 0 = -2*s + j - 240. Is s a composite number?
True
Let z(i) = 417719*i**3 + i**2 - 18*i + 19. Is z(1) composite?
False
Let s(d) = -40338*d + 1397. Is s(-3) composite?
True
Let o(u) = 1306*u**2 + 360*u + 3457. Is o(-10) composite?
False
Let l(y) = 30*y**2 + 6*y - 163. Is l(-63) prime?
True
Let p(u) be the first derivative of u**3 + 3*u**2/2 + 10*u - 1. Suppose 62*w = 57*w + 2*l - 18, -4*w + 2*l - 14 = 0. Is p(w) prime?
False
Let q be 1 - (-21 + (1 - -1)). Let u = 101 - q. Let j = u + 6. Is j composite?
True
Let x(f) be the third derivative of f**7/360 + f**6/144 - f**5/120 - 19*f**4/24 - 2*f**2. Let a(h) be the second derivative of x(h). Is a(-7) prime?
True
Is (207/9 + -94174)/((1/1)/(-1)) a composite number?
False
Let z(l) be the first derivative of 788*l**3/3 + 5*l**2/2 + l - 14. Let j be z(-1). Let h = j + 393. Is h a composite number?
True
Let q = 24382 + 71877. Is q a composite number?
False
Suppose 0 = 2*i - 2*s - 432002, -s = 2*i + 21630 - 453617. Is (i/88)/(-1 - 3/(-2)) a prime number?
True
Let o = -882 - -624. Let g = o + 1629. Is g prime?
False
Suppose -2 = 3*q - 4*q. Let v be (8 - 2)/(9/3330). Suppose q*f - 2226 = -2*y, 3*f - 5*f - 5*y = -v. Is f composite?
True
Let z(n) = 7*n**2 + 4*n + 6. Let o(b) = 2*b**2 - 7*b - 7. Let c be o(5). Suppose d = 2*w - 12, -3*w - d = -w - c. Is z(w) composite?
True
Let z be -2*3 + (-3 - (-996 + 6)). Suppose -2927 = -3*a + 5*j, -3*a - j = -2*a - z. Is a a composite number?
True
Let a(c) = -4401*c + 2690. Is a(-11) a composite number?
True
Suppose 0 = s + 4*u - 29 + 7, s + 3*u = 19. Let w be s/((-3)/(-3) - 0). Suppose -659 - 971 = -w*d. Is d a prime number?
True
Let b(l) = -4073*l + 6136. Is b(-17) a composite number?
False
Let w = 182 + 5083. Suppose 0*g + 1320 = i + 5*g, 4*i = -5*g + w. Is i prime?
False
Suppose 3*j - 131363 = -n, 2*n + 4*j - 93744 = 168988. Suppose 0 = 4*l - n - 2816. Is l composite?
False
Let y(v) be the third derivative of 835*v**4/24 - v**3 + 42*v**2. Is y(5) a prime number?
False
Let v(r) = 593*r**2 - 120*r - 2534. Is v(-45) composite?
False
Let j(f) = 3*f**2 - 12*f + 10. Let y be j(16). Let c = y - 329. Is c a composite number?
False
Let d(j) be the first derivative of 181*j**4/24 + 5*j**3/3 + 11*j**2/2 - 9. Let g(r) be the second derivative of d(r). Is g(3) a prime number?
False
Let q = -69 - -66. Is q + -10 + 5 - -1065 prime?
False
Suppose 2*l + 2*l + 4*a + 197264 = 0, 0 = -4*l - 5*a - 197266. Let c = l + 70307. Is c a composite number?
True
Suppose 3096*c - 3027*c = 16362453. Is c composite?
False
Let n(i) = 7*i - 7. Let t be n(1). Suppose -2*c + 3*o + 5483 = t, c + 3*o + 8217 = 4*c. Is c a prime number?
False
Let i be (-3*(-1)/6)/((-6)/120). Let p be 6/(-4)*(0 - i). Let b(r) = -39*r + 28. Is b(p) prime?
True
Let r(m) be the first derivative of 95*m**2/2 + 71*m - 52. Is r(6) composite?
False
Is 160051 - 6/((-6)/(-12)*2) prime?
False
Let z = -52 - -54. Let j be (-1 - -12524 - z)/(-1). Let s = -8700 - j. Is s a prime number?
True
Let p be (540/25)/((-9)/(-6090)). Suppose 18*j - p = -774. Is j a prime number?
True
Let y be 237/(-33) - -4 - (-4)/22. Let q(t) = -t**3 - 2*t**2 + 2*t + 2. Let d be q(y). Suppose -295 = -b - 5*i, -b + 2*i = d*i - 295. Is b a prime number?
False
Is 1385595/21 + (-70)/(-245) prime?
True
Suppose 6*t = 11*t - 490. Let u = t - -65. Let s = -96 + u. Is s a composite number?
False
Let t be (-2)/(-10) + (-159984)/(-55). Is -3 + -3*10/(-15)*t prime?
False
Suppose -58*k + 174835 = -53*k. Is k composite?
True
Let q(u) = 243*u**2 - 42. Let n(i) = -i**2 - 6*i + 45. Let h be n(4). Is q(h) a prime number?
False
Suppose 0 = 7*q - 23*q + 4944. Let a = 754 - q. Is a a composite number?
True
Let l = 28428 - -182171. Is l prime?
True
Suppose 5*y = 2*y + 10023. Suppose 0 = 3*l - 1432 - y. Is l a composite number?
True
Let u(o) = 6*o**2 - 19*o - 15. Let k be u(14). Let f = k + 2532. Is f a composite number?
True
Suppose 7*h - 6 - 8 = 0. Suppose 14*q = 10*q + h*j + 7606, -5*j = 4*q - 7599. Is q a composite number?
False
Suppose -2*f - 101570 = -4*y, y - 4*f = 4*y - 76161. Is y composite?
False
Let c(v) = 4*v**3 + 16*v**2 + 16*v - 15. Let h = -78 + 92. Is c(h) a composite number?
False
Suppose -4*g + 3*d = 4 | {
"pile_set_name": "DM Mathematics"
} |
*(2*(sqrt(84)*-2 - sqrt(84)) + sqrt(84))*-1)/((sqrt(84) + -6*(2*sqrt(84) + sqrt(84)))/((sqrt(84) + (sqrt(84)*-2 - sqrt(84)) + sqrt(84))/sqrt(12))).
20*sqrt(7)/17
Simplify (6*(sqrt(7) + -1) - -3*sqrt(28))*6 + -1*sqrt(567) + (sqrt(7) - (sqrt(28)/(sqrt(24)/sqrt(6)))**2) + -1.
-44 + 64*sqrt(7)
Simplify ((sqrt(144)/sqrt(441))/(sqrt(8) + (sqrt(96) + -2*sqrt(96) + sqrt(96) + sqrt(96))/sqrt(12)))**2 + ((-1*sqrt(48))/sqrt(3))/(-2*sqrt(8)*-3).
-sqrt(2)/6 + 1/98
Simplify ((sqrt(270) - (sqrt(270)*-3 + sqrt(270))*-1)/sqrt(10))/((sqrt(432)/(sqrt(48)/sqrt(4)) + sqrt(36))/sqrt(4)).
-sqrt(3)/2
Simplify (-1*(0 + ((sqrt(132) + -5*(-3*sqrt(132) - sqrt(132) - sqrt(132)) + sqrt(132))/sqrt(12) - (sqrt(220)/sqrt(245))/sqrt(4))))**2.
388784/49
Simplify (-3*-2*1*(-2*sqrt(143) + sqrt(143)))/((6*sqrt(44) - sqrt(11) - (sqrt(11) + -1*sqrt(176)))*3).
-sqrt(13)/7
Simplify ((3*(sqrt(171) - (sqrt(171) + -2*sqrt(171))) + sqrt(171) + sqrt(171)*1*-4)*6)/(3*(-1*sqrt(144) + sqrt(144) + sqrt(144))*-4).
-3*sqrt(19)/8
Simplify (-2*sqrt(405) + -1 + -4 + (sqrt(405) + 1 + -1 - -2*sqrt(405)*3) - (-1*(sqrt(405) + sqrt(405) + sqrt(405) + sqrt(405)*1 + 2) + 2 + -5))**2.
32805
Simplify (-5 + (-2*sqrt(76)*-2 + sqrt(76) - sqrt(76))**2)*2 - (-3 + (1*(sqrt(76) + sqrt(76) + (sqrt(76)*3 - sqrt(76) - sqrt(76)) + 3))**2).
-36*sqrt(19) + 1732
Simplify 3 + -3*(((sqrt(5000) - ((sqrt(5000) - (-4 + sqrt(5000) + 0) - sqrt(5000)) + sqrt(5000)))*-1)**2 + -5).
-15030 + 1200*sqrt(2)
Simplify 6*(sqrt(171) + sqrt(171) + 0 + -1)**2*6 + ((0 + (sqrt(1216) - (sqrt(1216) + (sqrt(1216) - (1 + sqrt(1216) + sqrt(1216)))) - sqrt(1216)) + 2)*5)**2.
-432*sqrt(19) + 24885
Simplify (0 + (sqrt(80) - (sqrt(80) + 5)) + sqrt(80) + 0 + -5 + -5 + sqrt(80) + -5)**2.
-320*sqrt(5) + 720
Simplify (((5*sqrt(55)*-1)/(-2*sqrt(180)) + 2)*6 + 4)*-6.
-96 - 15*sqrt(11)
Simplify (3*((sqrt(357)*-1 + sqrt(357))*3)/sqrt(7))/(((2*sqrt(48))/sqrt(4))/((sqrt(28) + (sqrt(112) - sqrt(28)))/sqrt(7) - sqrt(4))) + -4.
-4
Simplify (2*sqrt(4455)*-5*2)/(2*(2*sqrt(125) + sqrt(125) + sqrt(125) + sqrt(125))*1).
-18*sqrt(11)/5
Simplify ((-5*2*-4*sqrt(156)*-1)/(sqrt(120)/sqrt(10)*-3 + sqrt(12) + sqrt(972) + sqrt(972)*-4))**2.
20800/841
Simplify sqrt(15)/(sqrt(180)/sqrt(4)) - (sqrt(288) - 2*sqrt(288))/sqrt(6) - (sqrt(27)/(-2*sqrt(324))*-5 + 3).
-3 + 47*sqrt(3)/12
Simplify (-3 + sqrt(98)*2)*1 + 2 + sqrt(98) + 0 + sqrt(98) + -5 + -3.
-9 + 28*sqrt(2)
Simplify (sqrt(104) - (sqrt(104) - 5*sqrt(104)*-3) - 1*sqrt(104)*-3)/((sqrt(56)/(sqrt(7) - sqrt(63)) + (sqrt(8) - 3*sqrt(40)/sqrt(5)))*-4).
-6*sqrt(13)/5
Simplify 1*(2*2*(sqrt(2) + sqrt(2) + 1*sqrt(162)) + 2 + (-1 + sqrt(2) + 0 - sqrt(20)/(-2*sqrt(10)))**2).
15/2 + 41*sqrt(2)
Simplify (-3*((sqrt(13) - (-5 + sqrt(13) - sqrt(13))) + -4) + 3 + (sqrt(104)*-2)/sqrt(8) + -3 + sqrt(26)/sqrt(2) + -3)**2*1.
48*sqrt(13) + 244
Simplify (1*4*sqrt(95)*-1*1)/(sqrt(15)/(sqrt(9)/(sqrt(12)/sqrt(4)))*4) + -3.
-sqrt(19) - 3
Simplify 0 + (-3*((-3*(sqrt(176) - (sqrt(176) + 0 + sqrt(176))) - sqrt(176)) + sqrt(176)))**2 - (-1 + (sqrt(176) + -1)*-1 + (sqrt(176) + -2)**2*-5).
-76*sqrt(11) + 15156
Simplify 3 + -5 + ((3 + sqrt(468) + sqrt(468) + 4)*2*1)**2 + -4.
672*sqrt(13) + 7678
Simplify (1 + (-1*sqrt(624))/sqrt(3) + 5)**2 - ((sqrt(78)/sqrt(2))/sqrt(3)*2 - sqrt(143)/(sqrt(11) - (6*sqrt(33)/sqrt(3) - sqrt(11)))).
-201*sqrt(13)/4 + 244
Simplify (-1*(sqrt(119) - -2*(sqrt(119) + 1*sqrt(119)))*4)/(3*(sqrt(448) - 2*sqrt(448)*6)).
5*sqrt(17)/66
Simplify ((3*(sqrt(363) + -2) - sqrt(363)) + 3 + sqrt(363) + sqrt(363) + sqrt(363) + 1 + -1*2*sqrt(363) + 0 + sqrt(363) + (sqrt(363)*1 - sqrt(363)))**2.
-176*sqrt(3) + 5812
Simplify -5*-3*((sqrt(18)*-1 + -3 - sqrt(72)/(sqrt(20)/sqrt(5)))**2 - (sqrt(180)/(sqrt(70)/sqrt(7)) + 3)).
495*sqrt(2) + 1170
Simplify (-1 + ((1 + sqrt(1331))*2 + sqrt(1331))*6)**2 - (-2*sqrt(1100))/((sqrt(4) - sqrt(4)*2*5) + sqrt(4)).
17419*sqrt(11)/4 + 431365
Simplify (1 + (-3*(sqrt(5) + -4) - (1*sqrt(60))/sqrt(12) - (sqrt(1620)*-2 + sqrt(1620) + -1)))**2.
392*sqrt(5) + 1176
Simplify -3 + (2*sqrt(240)/(-5*sqrt(12)))**2 + (-5 + (sqrt(5) + -4 - sqrt(5))**2 - (sqrt(5) + (4 + sqrt(720) + sqrt(720))**2)).
-14424/5 - 193*sqrt(5)
Simplify (-1 + ((sqrt(11) - (sqrt(11)*3 + -2)) + sqrt(891) + -2 + (sqrt(44) + -5 - sqrt(11)) + sqrt(11) + 5)*-2 + -1)**2.
72*sqrt(11) + 3568
Simplify -3 + (((sqrt(891) + 0)*-3 - (sqrt(891) + -1*(sqrt(891) + -1) + sqrt(891) - sqrt(891)))**2 - (-1 + (-1*1*sqrt(891)*4)**2)).
-6238 + 54*sqrt(11)
Simplify (1 + (sqrt(500) + 1*sqrt(500) + 5 + sqrt(500) - sqrt(500)) + sqrt(500) + 1*(sqrt(500) + 2) + 4*(5 + -1*sqrt(500) + -3*sqrt(500)*-2))**2.
13440*sqrt(5) + 288784
Simplify ((sqrt(1089)*-2 + sqrt(1089))/(sqrt(882)/sqrt(6)))**2 + -4*6*(sqrt(12) - (sqrt(108) + (sqrt(108) - sqrt(108)*1) - sqrt(108)))/sqrt(4).
-24*sqrt(3) + 363/49
Simplify -3 + (2*(-1*(sqrt(425) - (sqrt(425) + -2*sqrt(425))) + sqrt(425)))**2*2 + 4 + 1.
3402
Simplify -2 + 3*(3 + sqrt(19) + sqrt(133)/sqrt(7) + -3 - (sqrt(19) + 2*sqrt(684) + sqrt(19) - (sqrt(38)*1 - sqrt(38))/sqrt(2)))**2.
8206
Simplify ((1*(2*sqrt(441) + sqrt(441) - sqrt(441))/(sqrt(7) + sqrt(77)/(sqrt(44)/sqrt(4) + sqrt(11)) + sqrt(7)) + -2)*6 + -5)**2.
-2448*sqrt(7)/5 + 43513/25
Simplify 4 + -1 + (sqrt(52)/sqrt(4))**2 + 0 - -1*sqrt(78)/(sqrt(600) - sqrt(6))*6.
2*sqrt(13)/3 + 16
Simplify ((2 + sqrt(130)/(sqrt(50)/sqrt(5)))*1 + (3*sqrt(65)*-2)/(sqrt(125)*-4))**2.
26*sqrt(13)/5 + 2597/100
Simplify -5 + (sqrt(5324)*-2 + 5)**2 - (-2 + (-1*sqrt(5324))/sqrt(324)).
-3949*sqrt(11)/9 + 21318
Simplify ((sqrt(300) + 1 + 1 + sqrt(300) - (sqrt(300) + -1 + -2 + sqrt(300) + sqrt(300)) - ((3*sqrt(300)*2 - sqrt(300)) + 4)) + -4)**2.
360*sqrt(3) + 10809
Simplify ((sqrt(240)*-2*-5)/(sqrt(20)*6) + 3*sqrt(48)*-1 + sqrt(432)/sqrt(225))**2.
13924/75
Simplify -3 + 6*(-1 + (4 + sqrt(245)*1 + -1)*4)**2*6*-6.
-872859 - 133056*sqrt(5)
Simplify (-4*6*(-6*(-1 + sqrt(1792)) - (-2 + sqrt(112) + sqrt(28) - (sqrt(28) - sqrt(448))*-2)))**2.
-829440*sqrt(7) + 32696064
Simplify 2 + (((0 + sqrt(1573) - sqrt(1573)) + 2)*-2 - -4*(-1 + -6*sqrt(39)/sqrt(3))).
-24*sqrt(13) - 6
Simplify ((-6*sqrt(108)*-2 + sqrt(108))*-4)**2 + (sqrt(24)/sqrt(8)*-5 - (sqrt(3) - (sqrt(3) + sqrt(30)/(sqrt(30)/sqrt(3))))).
-4*sqrt(3) + 292032
Simplify (1*(-5 + -4 + (0 + sqrt(500) + sqrt(500))*4 + 0 + -3 + sqrt(500) + 1))**2*4.
-7920*sqrt(5) + 162484
Simplify 5*((sqrt(2) - (3 + sqrt(2) + 2))*-5)**2 + (-5 + 2*sqrt(128))*3.
48*sqrt(2) + 3110
Simplify (-6*4*3*sqrt(1225))/((sqrt(875) + sqrt(875) + (sqrt(875) - sqrt(875)*2))/((sqrt(84) - -2*sqrt(84))/sqrt(12))).
-1512*sqrt(5)/5
Simplify ((6*1*sqrt(528))/(sqrt(12) - sqrt(120)/sqrt(160)))/(-3*(1*sqrt(16)*6 + sqrt(16))/sqrt(4)).
-8*sqrt(11)/21
Simplify ((-2*sqrt(228) - sqrt(228))/sqrt(12))**2 - (3 + sqrt(19) + 4) - ((6*-2*sqrt(95) - sqrt(95)) + sqrt(95))/(sqrt(10)/(sqrt(6)/sqrt(3))).
11*sqrt(19) + 164
Simplify ((1*(sqrt(27) + sqrt(432)*6 - (-1*sqrt(27)*1 - sqrt(27))))/((sqrt(648)*1 + sqrt(648))/(sqrt(18)/(sqrt(9) + sqrt(9)*2))))**2.
27/16
Simplify (((sqrt(216) + sqrt(216) + (sqrt(216) - -4*sqrt(216)) + sqrt(216))/sqrt(12))/sqrt(6) - (sqrt(108)*6 + sqrt(3))**2*2)*-3.
-24*sqrt(3) + 24642
Simplify -4*(2 + 5 + sqrt(475)) + -1 + ((sqrt(475) - ((sqrt(475) + -3 + sqrt(475) - sqrt(475)) + sqrt(475))) + 5 + sqrt(475))**2.
-20*sqrt(19) + 35
Simplify -2*((sqrt(288) - 3*sqrt(288)*4 - -4*((2 + sqrt(288) - sqrt(288)) + sqrt(288) - sqrt(288)))**2 + ((sqrt(8) + 0 + sqrt(512) + sqrt(512))*5)**2*6).
-763424 + 4224*sqrt(2)
Simplify -1*(-5 + ((sqrt(300) - ((-5*(sqrt(300) + sqrt(300)*4)**2 - sqrt(300)) + sqrt(300))) + sqrt(300) + -2 - (sqrt(300) - (-2 + -2 + sqrt(300)))*1)).
-37489 - 20*sqrt(3)
Simplify sqrt(50)/(sqrt(120)/(sqrt(36)/sqrt(3))) + -3 - ((sqrt(45)/(6*(sqrt(9) + -2*sqrt(9))))**2 + 2).
-185/36 + sqrt(5)
Simplify 6*((sqrt(80) + 3*sqrt(80)*1 + sqrt(80) - (5 + 0 + sqrt(80)))*2*-3)**2 + 1.
-34560*sqrt(5) + 281881
Simplify ((sqrt(153)*1*1 + sqrt(153) + 5)*5 - (2*((sqrt(153) - (sqrt(153) + -3)) + 1) + -4))**2.
1260*sqrt(17) + 15741
Simplify 4 + (5*sqrt(96)*1 - ((sqrt(96) - sqrt(96)*2)*-4 - sqrt(96) - sqrt(96)))/(6*-2*sqrt(1452)).
-sqrt(2)/22 + 4
Simplify 2 + (sqrt(12)/sqrt(24) + 0 - (sqrt(162) - 6*(sqrt(162) - (sqrt(162) - 3*sqrt(162))))) + 5.
7 + 307*sqrt(2)/2
Simplify (((sqrt(75) - (sqrt(75) + (sqrt(75) + 4)*6) - sqrt(75) - sqrt(75 | {
"pile_set_name": "DM Mathematics"
} |
h is the closest to 0? (a) -5 (b) 3 (c) j
c
Let z = 4.5 + 1.5. Let r = 6.1 - z. Let p = -0.3 - 0.7. Which is the closest to r? (a) p (b) 0.4 (c) 2
b
Let m = -1.3 + 1. Let s(z) = -z**3 - 6*z**2 + 1. Let h be s(-6). Let w be 0 - (5 - 2)/h. Which is the nearest to 0.1? (a) w (b) 0.2 (c) m
b
Let q(m) = -4147*m + 1. Let z be q(1). Let o = z - -1699861/410. Let j = 831/4510 - o. Which is the closest to -1/4? (a) 0.4 (b) -5 (c) j
c
Let k = 135 + -134. What is the nearest to k in -0.3, -1, 0?
0
Let n = -112 + 117. Which is the closest to 3? (a) -5 (b) n (c) -1
b
Let s = 0.68 - 0.8. Let t = -0.02 - s. Let n = 0.4 + t. What is the closest to 2/3 in n, 0, -2?
n
Let z = 3 + -2.6. Suppose -5*y + 6 = -3*y. Suppose m = y, -3*l - 3*m + m + 3 = 0. What is the closest to l in 0.1, z, -0.5?
-0.5
Suppose -16 = -4*l - 3*j + 1, 3*l + j = 14. Let d = 2 - 2. Let k = 3 - d. Which is the closest to 1? (a) k (b) l (c) -0.4
c
Let h = 49/2 - 26. Let n = 0 - 0. Let x = n - -4. Which is the closest to 2? (a) 0.5 (b) x (c) h
a
Let s = 0.7 + -0.74. Let z = s + -0.46. Which is the closest to -1? (a) 0.5 (b) 2/9 (c) z
c
Let r = -36893 + 52351169/1419. Let q be (-416)/22*(-9)/(-1290). Let u = r - q. Which is the nearest to -1? (a) u (b) -1/2 (c) 1/4
b
Let g(w) be the first derivative of -w**3/3 - w**2 - 2*w + 1. Let v be g(-2). Let x = 0.05 - 4.05. Which is the closest to 1/3? (a) x (b) v (c) 2/5
c
Let x = -0.4 + 0.8. What is the closest to 1 in 1, x, -2/5?
1
Let f be 8 - (0 - -4 - 2). Let v be f/(-10) - (-31)/35. What is the closest to v in 0.1, 0.3, 2/13?
0.3
Let c = 6 + 66. Suppose o - 5*o + c = 0. Suppose -3*t = 4*q + 8 - 29, o = 2*t + 4*q. What is the nearest to -1 in t, -1, 3/2?
-1
Let p be 0 + 2/(-6) + 1. Let s = -188 - -1690/9. Let n = 7 + -12. Which is the closest to p? (a) s (b) n (c) 3
a
Let c = -22 + 87/4. What is the nearest to 0.1 in 0, 2/3, c?
0
Let w = 3.6 + -0.6. Let y = -3.3 + w. Let r = -37/7 + 95/14. What is the nearest to -2/3 in y, -2/5, r?
-2/5
Let z = 5.7 + -6. Let g = 58.1 + -63. Let j = g + -0.1. Which is the nearest to 0? (a) 2/9 (b) j (c) z
a
Let f be (4/(-7))/((-12)/14). What is the closest to 2/7 in 4, 5, f?
f
Let q = 54 + -54. Which is the nearest to 1/4? (a) 3 (b) 2/11 (c) q
b
Let r = 8 + -4. Let l = 4 - -2. Let g(v) = v - 1. Let h be g(l). What is the closest to -0.2 in r, h, 2?
2
Let g(r) = -r**2 - r + 9. Let v be g(0). Let b be 2 - 5 - v/(-2). What is the closest to -1/2 in b, -0.4, -5?
-0.4
Let q be ((-1)/2)/((-2)/(-12)). Which is the nearest to q? (a) -0.3 (b) 2 (c) -4
c
Let v be -1*(13/6 - 2). Let x = -0.22 - 0.18. Which is the nearest to -1? (a) x (b) v (c) -1
c
Let w = 97/123 + -5/41. Let h = -0.4 - -0.5. Let s = 0 + 0.2. What is the closest to h in 0.5, s, w?
s
Let k = -0.4 + 1.4. Let f = k + -1. Let o = 0 - f. Which is the nearest to 0.1? (a) o (b) 2/9 (c) 5
a
Let s = 8 + -19. Let m be (-2)/4 + s/(-14). Let p be 2/(-16)*-4*10. Which is the nearest to 0.1? (a) p (b) 4 (c) m
c
Let z be (-18)/16*(-3 + (-275)/(-99)). Let s = -0.1 + 0.6. Let q = 3 + -3.1. Which is the nearest to q? (a) 2 (b) s (c) z
c
Let j = 2.8 + -2.9. What is the nearest to j in 4, 1/5, -4?
1/5
Let f = -0.6 - 3.4. Let h = -405157/160 - -2532. Let i = h + 1/32. Which is the closest to -0.1? (a) i (b) f (c) 2/7
a
Let w = -299/5 - -60. Let t be ((1 - 1) + 3)*-1. Which is the closest to 0.1? (a) w (b) t (c) 3/2
a
Let w = -42.1 + 38. Let k = w + 4. Which is the nearest to k? (a) 1 (b) -3 (c) 2
a
Suppose -2*b - 16 = -4*u, -2*u - 4*b - 4 = b. Let z be u - 1*63/24. What is the closest to 0 in -2/7, z, 1/9?
1/9
Let u = 0.03 - 1.03. Which is the closest to u? (a) -0.04 (b) 2/9 (c) -2
a
Let q(z) = z + 80. Let r be q(0). Let m(s) = s**3 - 8*s**2 + 6*s + 9. Let x be m(7). Let w be r/45 + x/9. Which is the nearest to 0? (a) 2/3 (b) w (c) 0.3
c
Let o = -2/177 - 116/177. Let a = 2 - 11. Let s = a - -11. What is the nearest to -0.2 in o, s, -4?
o
Let g = 3.07 - 0.07. Let w = -181/4 + 45. Which is the closest to 0? (a) -5 (b) w (c) g
b
Let u = -12.6 - 44.4. Let k = 57.43 + u. Let w = -0.03 + k. What is the closest to 2/9 in 1, w, -1?
w
Let n = 1.74 - -0.26. Which is the closest to n? (a) -4 (b) 0.4 (c) -2/5
b
Let n = -33 - -38. Which is the closest to -1? (a) 0 (b) n (c) 0.4
a
Let r = -100 - -96. What is the nearest to 3 in r, -0.2, 2/5?
2/5
Let r = 21/4 - 173/36. What is the nearest to r in 2, 0.5, 4?
0.5
Let w = -6 + -4. Let n = -8 - w. What is the nearest to 1 in 0.4, 3/7, n?
3/7
Let j be (-3 - -3) + 5/17. Let m = j - 3/68. Let q be -1 - -1 - 4/(-10). Which is the nearest to q? (a) m (b) 2/5 (c) 2
b
Let c be (-1)/((-16)/6) - 0. What is the nearest to -1/3 in 2, 5, c?
c
Let i be 1/((-2 + 4)/4). Let h be (-3)/i - 56/(-32). Which is the closest to h? (a) 1 (b) 3/4 (c) -2
b
Let x(d) = -d**2 - 4*d + 2. Let u be x(-4). Let l be -1 + 0 - 20/(-18). Which is the nearest to 2? (a) u (b) 1/3 (c) l
a
Let t = -2 - -3. Let h = 2.6 - 3. Let y = h - -0.4. What is the closest to y in -0.3, t, -0.1?
-0.1
Let x = 85 - 423/5. Let h = -0.2 - -2.2. Let v = -3 + h. Which is the nearest to 0? (a) v (b) -1/5 (c) x
b
Let u be (0 - -1)*(-27)/18. Which is the nearest to -1/2? (a) -1 (b) -0.2 (c) u
b
Let j = 98 - 97. Let f be (-14)/(-18) - 4/6. Which is the nearest to j? (a) f (b) 0.2 (c) -1
b
Let q be (-2)/6 + (-14)/(-15). Let k = 50 + -50. Let a be (-11)/(-4) + (-1)/(-4). What is the closest to 0 in k, q, a?
k
Let q be -1 + -3*2 + 2. Let k = 20 - 15. Which is the nearest to -1/2? (a) k (b) 3 (c) q
b
Let j = 5/29 - 73/87. What is the closest to j in 1/7, 5, -2?
1/7
Let r = -1.8 - -2.2. Which is the closest to -1? (a) 5 (b) r (c) 0
c
Let r = -1.2 - -0.2. Let s = 0.9 + r. What is the closest to -1/4 in 0.1, s, 2?
s
Suppose -2*w + 42 = -0*w. Suppose -4*t = -4*x - 20, 4*t - w = -0*x + 5*x. What is the nearest to 0 in t, 0.3, 0.2?
0.2
Let t be 6/15 + (-3)/20. Let w be 2 + (-1 - -5) + 1. Let v be (-9)/w - 4/(-14). Which is the closest to v? (a) t (b) -2/13 (c) -0.2
c
Let u be 7/35 + 202/(-10). Let h be 2*(-26)/u + -3. Which is the nearest to h? (a) -2/7 (b) 1 (c) -3
a
Let v = -2.21 + 0.21. Which is the closest to -2? (a) -5 (b) -1 (c) v
c
Let w = -182/5 - -1294/35. Let l = -0.2 - -0.6. Which is the closest to l? (a) 4 (b) w (c) -0.1
b
Let s = 2.98 + -3. Let o = -0.98 + s. Which is the closest to o? (a) -6/11 (b) -1 (c) -0.5
b
Suppose x - 2*x = 0. Suppose x + 8 = -4*i. Suppose 0 = 3*o + 12 - 3. Which is the nearest to -1? (a) i (b) o (c) 4/9
a
Let h = -0.3 - 13.8. Let d = -14 - h. Let q = -2068/15 - -138. What is the closest to d in q, 3/2, -5?
q
Let t = -22.3 - -22. What is the nearest to -0.1 in -3/8, t, -0.02?
-0.02
Let q = 0.38 + 0.02. Let d = -10 - 0. Let j = d - -11. What is the closest to j in 5, 1/10, q?
q
Let o = 0.22 + -0.42. Which is the closest to -1? (a) 4 (b) o (c) 5
b
Let g = 18 - 18.3. What is the nearest to g in 1/10, -0.2, -5?
-0.2
Let h be 4/4 + -2 + 0. Let v be (-1)/1*3 + 4. Which is the nearest to v? (a) h (b) -4/5 (c) -2/7
c
Let j = -1 + 1. Suppose 2*f - 3*f + 23 = 5*o, -4*f - 2*o = -38. Suppose f = 5*r - 12. What is the closest to j in -2/7, r, -3/2?
-2/7
Suppose u - 12 = -3*j - 3, -2*j - 3*u = -6. Let c = -3 + j. Let w = -10 + 5. What is the nearest to c in w, -0.2, -2?
-0.2
Suppose 4*r = -2*m - 204, 5*r - 3*m = -0*m - 266. Let t = r + 101/2. Let y = t - -7/4. Which is the closest to 1? (a) 1 (b) y (c) 4
a
Let g = 22 + -22.7. What is the nearest to -0.1 in -1/2, 0.4, g?
-1/2
Let q = -0.065 + -0.035. Let h = 0.1 - -0.1. Which is the nearest to q? (a) 0 (b) 2 (c) h
a
Suppose 0*p - 2*p - 10 = 0. Let o = 121/3 + -40. What is the closest to o in 4, p, -3?
-3
Let v = -1.6 + 1.7. Which is the nearest to v? (a) 1/5 (b) 16 (c) 2/7
a
Let n = -62 + 67. What is the nearest to -1 in n, -0.4, -0.06?
-0.4
Let s = -0.51 + 7.21. Let m = -7 + s. Let h be 1 - (22/8 - 2). Which is the nearest to h? (a) -0.1 (b) -2 (c) m
a
Suppose -6 = 2*n + n. Let v = 0.8 + 0.2. Let j = -0.57 + 0.07. What is the closest to -1/4 in n, j, v?
j
Let m = -3 + 8. Let p = -7 + 2. Which is the nearest to -1/2? (a) p (b) 1/6 (c) m
b
Let q = 1879/9 + -209. Let w = 0.1 - 0.6. Let s = 150 + -1048/7. Whi | {
"pile_set_name": "DM Mathematics"
} |
rime factors of 5675919?
3, 281, 6733
What are the prime factors of 19409391?
3, 2156599
What are the prime factors of 779612?
2, 67, 2909
List the prime factors of 79466.
2, 39733
What are the prime factors of 22244082?
2, 3, 7, 23, 23027
What are the prime factors of 508583?
508583
List the prime factors of 16114.
2, 7, 1151
List the prime factors of 385082.
2, 31, 6211
List the prime factors of 33096262.
2, 16548131
List the prime factors of 2392143.
3, 13, 83, 739
What are the prime factors of 9722576?
2, 41, 14821
What are the prime factors of 12692521?
12692521
What are the prime factors of 110514?
2, 3, 113, 163
What are the prime factors of 10399428?
2, 3, 13, 823
What are the prime factors of 364927?
73, 4999
List the prime factors of 1018328.
2, 127291
List the prime factors of 555255.
3, 5, 457
List the prime factors of 1897062.
2, 3, 316177
What are the prime factors of 246910?
2, 5, 24691
List the prime factors of 1062483.
3, 17, 83, 251
List the prime factors of 4128643.
19, 29, 59, 127
List the prime factors of 409656.
2, 3, 13, 101
List the prime factors of 39326.
2, 7, 53
List the prime factors of 3707389.
7, 29, 2609
What are the prime factors of 23492630?
2, 5, 7, 335609
List the prime factors of 3953111.
53, 74587
List the prime factors of 100866.
2, 3, 16811
What are the prime factors of 24523482?
2, 3, 449, 9103
List the prime factors of 12561791.
11, 61, 97, 193
What are the prime factors of 7261006?
2, 17, 31, 83
What are the prime factors of 3755218?
2, 1877609
What are the prime factors of 142748?
2, 127, 281
List the prime factors of 352561.
11, 32051
What are the prime factors of 267705?
3, 5, 661
List the prime factors of 1810973.
1810973
List the prime factors of 4004453.
4004453
What are the prime factors of 1344853?
17, 239, 331
What are the prime factors of 7304290?
2, 5, 7, 104347
List the prime factors of 2487834.
2, 3, 5119
What are the prime factors of 4897577?
4897577
What are the prime factors of 263393?
13, 20261
List the prime factors of 1161757.
1161757
What are the prime factors of 4905174?
2, 3, 817529
List the prime factors of 16728934.
2, 233, 35899
List the prime factors of 2200602.
2, 3, 353, 1039
List the prime factors of 8284541.
8284541
List the prime factors of 400053.
3, 133351
List the prime factors of 107772.
2, 3, 7, 1283
What are the prime factors of 6838741?
7, 13, 223, 337
List the prime factors of 1564360.
2, 5, 7, 37, 151
List the prime factors of 1878168.
2, 3, 139, 563
List the prime factors of 26562590.
2, 5, 193, 13763
List the prime factors of 171389.
367, 467
List the prime factors of 820281.
3, 7, 11, 53, 67
What are the prime factors of 359788?
2, 11, 13, 17, 37
List the prime factors of 1676333.
1676333
List the prime factors of 351042.
2, 3, 41, 1427
What are the prime factors of 5823055?
5, 7, 29, 5737
What are the prime factors of 9196623?
3, 163, 6269
What are the prime factors of 127623?
3, 19, 2239
List the prime factors of 3759244.
2, 17, 59, 937
List the prime factors of 4370648.
2, 29, 18839
What are the prime factors of 37457?
7, 5351
List the prime factors of 1136488.
2, 142061
What are the prime factors of 798478?
2, 399239
What are the prime factors of 68722?
2, 34361
List the prime factors of 43203.
3, 14401
List the prime factors of 3434522.
2, 7, 13, 113, 167
What are the prime factors of 281215?
5, 11, 5113
What are the prime factors of 5625588?
2, 3, 67, 6997
List the prime factors of 4898824.
2, 7, 12497
What are the prime factors of 5919020?
2, 5, 295951
List the prime factors of 38074.
2, 19037
List the prime factors of 3378545.
5, 541, 1249
What are the prime factors of 5776573?
11, 525143
What are the prime factors of 1069170?
2, 3, 5, 157, 227
What are the prime factors of 7224278?
2, 479, 7541
List the prime factors of 24146.
2, 12073
What are the prime factors of 3138235?
5, 23, 29, 941
List the prime factors of 8758933.
8758933
List the prime factors of 2728294.
2, 163, 8369
What are the prime factors of 294705?
3, 5, 37, 59
What are the prime factors of 3167951?
23, 137737
What are the prime factors of 189427?
7, 27061
What are the prime factors of 668067?
3, 83, 2683
What are the prime factors of 62327?
62327
What are the prime factors of 137747?
23, 53, 113
What are the prime factors of 4510607?
257, 17551
What are the prime factors of 1136241?
3, 42083
What are the prime factors of 378039?
3, 126013
What are the prime factors of 7895?
5, 1579
List the prime factors of 211272.
2, 3, 8803
List the prime factors of 450429.
3, 7, 89, 241
List the prime factors of 485105.
5, 97021
List the prime factors of 2915845.
5, 583169
What are the prime factors of 232495?
5, 46499
What are the prime factors of 3809094?
2, 3, 31, 20479
What are the prime factors of 390117?
3, 7, 13, 1429
List the prime factors of 4109769.
3, 456641
List the prime factors of 58535.
5, 23, 509
List the prime factors of 263257.
263257
List the prime factors of 798724.
2, 233, 857
What are the prime factors of 249372?
2, 3, 2309
What are the prime factors of 1724574?
2, 3, 83, 3463
What are the prime factors of 1322851?
1322851
List the prime factors of 4070128.
2, 254383
What are the prime factors of 4503064?
2, 389, 1447
What are the prime factors of 6130781?
6130781
What are the prime factors of 808529?
43, 18803
What are the prime factors of 13097900?
2, 5, 227, 577
What are the prime factors of 1406670?
2, 3, 5, 46889
List the prime factors of 2610432.
2, 3, 11, 103
List the prime factors of 209342.
2, 7, 19, 787
List the prime factors of 16104643.
16104643
List the prime factors of 2321997.
3, 773999
What are the prime factors of 170163?
3, 7, 37, 73
List the prime factors of 934062.
2, 3, 41, 3797
What are the prime factors of 1172245?
5, 97, 2417
List the prime factors of 915376.
2, 7, 11, 743
List the prime factors of 10796754.
2, 3, 233, 7723
What are the prime factors of 1148475?
3, 5, 15313
List the prime factors of 77091.
3, 7, 3671
List the prime factors of 676077.
3, 19, 29, 409
What are the prime factors of 407959?
407959
What are the prime factors of 209989?
13, 29, 557
List the prime factors of 2935258.
2, 1467629
List the prime factors of 4875049.
4875049
What are the prime factors of 9091443?
3, 19, 159499
List the prime factors of 152906.
2, 13, 5881
What are the prime factors of 109154?
2, 54577
What are the prime factors of 3678846?
2, 3, 613141
What are the prime factors of 18773089?
97, 103, 1879
List the prime factors of 378439.
378439
List the prime factors of 891350.
2, 5, 17827
List the prime factors of 55518.
2, 3, 19, 487
What are the prime factors of 75641?
75641
What are the prime factors of 186252?
2, 3, 11, 17, 83
List the prime factors of 27441938.
2, 37, 370837
List the prime factors of 380085.
3, 5, 25339
List the prime factors of 552639.
3, 41, 4493
List the prime factors of 1929803.
1929803
List the prime factors of 1580377.
73, 21649
What are the prime factors of 3376420?
2, 5, 401, 421
List the prime factors of 26933047.
26933047
List the prime factors of 512007.
3, 170669
What are the prime factors of 310191?
3, 7, 14771
List the prime factors of 589080.
2, 3, 5, 4909
List the prime factors of 9954006.
2, 3, 127, 13063
List the prime factors of 1179333.
3, 31, 1409
What are the prime factors of 353773?
7, 50539
List the prime factors of 1805295.
3, 5, 61, 1973
List the prime factors of 181678.
2, 7, 19, 683
List the prime factors of 1045563.
3, 97, 3593
What are the prime factors of 8450?
2, 5, 13
What are the prime factors of 23942817?
3, 17, 52163
List the prime factors of 471188.
2, 117797
What are the prime factors of 1549971?
3, 172219
List the prime factors of 895648.
2, 13, 2153
What are the prime factors of 4583731?
19, 241249
List the prime factors of 12260927.
7, 17, 41, 359
List the prime factors of 21064779.
3, 31, 8389
What are the prime factors of 2507869?
7, 13, 31, 127
List the prime factors of 1621786.
2, 810893
List the prime factors of 1314358.
2, 23, 28573
List the prime factors of 224911.
224911
What are the prime factors of 98457?
3, 37, 887
List the prime factors of 7825665.
3, 5, 157, 3323
List the prime factors of 621144.
2, 3, 8627
What are the prime factors of 3177742?
2, 17, 93463
List the prime factors of | {
"pile_set_name": "DM Mathematics"
} |
ify ((i/(i**(-2/25)*i))/(i**(2/17)*i))/((i*(i/(i**(2/7)*i))/i)/i*i**(-5/4)*i) assuming i is positive.
i**(5927/11900)
Simplify ((n/(n*n/n**(-3/10)))/(n**(-8/5)*n)*n**(-4/9)*n*n**(-6/7))**(-1/35) assuming n is positive.
n**(631/22050)
Simplify ((f*((f/f**0)/f*f)/f)/f)**(-2/67)/(f**(-14)/(f**(-3/7)*f*f)) assuming f is positive.
f**(109/7)
Simplify k/(((k**(-3/22)*k)/k)/k)*k/k**(11/5)*(k*k*k**(2/11))**18 assuming k is positive.
k**(4423/110)
Simplify (((l**(-1/2))**(-1/19))**45)**42 assuming l is positive.
l**(945/19)
Simplify (y**2*y*y**10)/(y**(-4)/(y/y**(-28))) assuming y is positive.
y**46
Simplify (f/(f*f**(-7)))**40/((f*f**(-2/23))/(f**7*f)) assuming f is positive.
f**(6603/23)
Simplify ((n/(n/(n/(n*n**7/n)))*n**(4/5))/(n/n**(-2/5))**(-3/4))**(2/27) assuming n is positive.
n**(-83/270)
Simplify ((a*((a/a**1)/a*a*a)/a*a)**13/(((a*a**3)/a)/a**(4/7)))**(-3/2) assuming a is positive.
a**(-495/14)
Simplify ((t/t**(-3/4))/t*t**(15/4))/(t/t**(8/3)*t/((t/((t*t**15/t)/t))/t*t)) assuming t is positive.
t**(-47/6)
Simplify (((c**(-5/12)*c)/c)/(c/((c*c**(2/85))/c)))/(c**(-8/5)/((c*c/(c/(c**10/c)))/c)) assuming c is positive.
c**(9391/1020)
Simplify (g*g**(-3/7)*g*g**(2/5))/(g/g**(2/9))**(-15) assuming g is positive.
g**(1432/105)
Simplify (t**(-2/25))**(-39)*((t/t**(-6/17)*t*t)/t)/(((t**(-1/25)/t*t)/t)/t) assuming t is positive.
t**(3193/425)
Simplify (b*b**22)/b*b**11*((b**(2/39)*b)/b)/b*b**(11/4) assuming b is positive.
b**(5429/156)
Simplify ((((((v/((v*v*(v*v*v*v*(v**(4/3)/v*v)/v*v*v)/v*v)/v))/v)/v)/v)/(((v**(-1/4)/v)/v)/v))/(v**3)**(3/2))**(2/161) assuming v is positive.
v**(-127/966)
Simplify j*j*j**(-11)*j**(-6/5)*(j**(-1/3))**(-2/3) assuming j is positive.
j**(-449/45)
Simplify ((t/(t*t**(-2/15)))/t**(-14))/(t**15/t**(-2/23)) assuming t is positive.
t**(-329/345)
Simplify ((y**18*y)/y)/(y*y**(-12)/y)*y**(-5)*(y*y**16)/y assuming y is positive.
y**41
Simplify ((r/(r*r/(r*r**(-1/5))*r))/(r**3/r))/(r**(2/3)/r)**(-38/5) assuming r is positive.
r**(-86/15)
Simplify (((x*x**(2/13))/(x/((x*x*x*x**(-13/2))/x*x)))**(-50))**(-2/39) assuming x is positive.
x**(-1450/169)
Simplify (z**4)**(-11)/(((z**14/z)/z)/((z*z/z**(-1/2)*z)/z)) assuming z is positive.
z**(-107/2)
Simplify ((u**8/(u**(-3)/u*u))/(u**1/((((u/(u**0*u))/u)/u)/u)))**44 assuming u is positive.
u**308
Simplify f**(6/7)/(f/(f/(f/(f*f**6*f)))*f)*f**(-5)/f**(-21) assuming f is positive.
f**(160/7)
Simplify g**22/((g/g**(-2/43))/g)*(g**0)**(-48) assuming g is positive.
g**(944/43)
Simplify (o**7/o*(o/o**(3/4))/o)/(o**(-4/9)/(o**(-5/7)*o)) assuming o is positive.
o**(1507/252)
Simplify (v/v**(-5/7)*v)/v*(v*v*v/((v*v*v**(-9)*v*v)/v)*v)/v*(v/(v/(v/(v**(-1/2)*v*v*v))))**(2/85) assuming v is positive.
v**(6354/595)
Simplify j*j**(1/6)*j*j/((j**(2/3)*j)/j*j)*(j*j**12/j)/j**(-3) assuming j is positive.
j**(33/2)
Simplify (g*g**5*g)**34*g/((g**(-2/11)*g)/g)*g*g*g/g**(1/2) assuming g is positive.
g**(5317/22)
Simplify ((r*(r/(r*r*r**(1/17)*r))/r)/r**(-18))/(r**(-14)/r*r*(r*r/((r/((r**20/r)/r*r)*r*r*r)/r))/r) assuming r is positive.
r**(220/17)
Simplify ((((q*q**(-1/4)/q*q)/q)/q*q)**22)**(-2/59) assuming q is positive.
q**(11/59)
Simplify (q**(-1/6)/q**23)**(-25) assuming q is positive.
q**(3475/6)
Simplify (m**(-2/7))**(-3)/(m**11/m*m*m**(-4/3)) assuming m is positive.
m**(-185/21)
Simplify ((c**(2/9)/c*c)/c**(3/2))/((c/((c**(-24)/c)/c))/(c**(-1/32)*c)) assuming c is positive.
c**(-7865/288)
Simplify (((h*h/(h**(-4)*h))/h)/(h*h*h**(-2/19)*h))/(h**(7/4))**20 assuming h is positive.
h**(-644/19)
Simplify ((j**2)**(-8)*(j**(1/11)/j)/j*j*j/(j*j*j**4))**(-36) assuming j is positive.
j**(8676/11)
Simplify q**2*q/(q/(q/(q**(-12/11)*q)*q*q)*q*q)*q**(1/13)/q*q**(-1/13) assuming q is positive.
q**(23/11)
Simplify (((p**(6/7)/p)**(-2/81))**12)**0 assuming p is positive.
1
Simplify ((x*x/(x**25/x*x)*x)**8)**16 assuming x is positive.
x**(-2816)
Simplify (u*(u/(u**(1/2)/u))/u*u*u*u**(2/9)*u*u**5*u*(u/(u**4/u*u))/u)**(-9) assuming u is positive.
u**(-121/2)
Simplify (((b/(b*b*b/(b*b*b**(-7))))/b)/b**(-2/5))/(b**(1/5))**14 assuming b is positive.
b**(-52/5)
Simplify (((s*s**(-3))/s)/((s**(2/13)*s)/s)*s**3*s/s**(-1))**(-4/13) assuming s is positive.
s**(-96/169)
Simplify u/(u/u**(-5)*u)*u/(u/u**(-1/5))*u/(u*u/u**(6/13))*u**(-3/10) assuming u is positive.
u**(-183/26)
Simplify (z*(z/z**(-4/3)*z*z*z*z)/z)/z**(-4/5)*z**22*z**(7/3)*z assuming z is positive.
z**(487/15)
Simplify (((p*p/(p*(((p/(p*p**(-2/71)))/p)/p*p)/p))/p)/p**(1/5))**(2/63) assuming p is positive.
p**(1258/22365)
Simplify (((o*o*o*o*o**(-1/22))/o**(8/11))**(-1/5))**26 assuming o is positive.
o**(-923/55)
Simplify (((y/(y*y/(y/(y*y*y/y**(1/3)))*y*y))/(y/y**3))**(2/119))**(2/3) assuming y is positive.
y**(-32/1071)
Simplify (w**(-1/13)*w*w*w**(-30))**28 assuming w is positive.
w**(-10220/13)
Simplify j**(-10)*j**23*j/(j*j/j**(-15))*j/(j*j*((j**(19/4)/j)/j*j)/j) assuming j is positive.
j**(-27/4)
Simplify (h/h**(-1/11)*h)/h**(-1/11)*h*h**9*h/((h/h**(-32))/h) assuming h is positive.
h**(-207/11)
Simplify ((d/d**2)/d)/(d**(-1/11)/d*d)*d**(-29)*d/d**(-2/31) assuming d is positive.
d**(-10177/341)
Simplify ((o**(1/12)/o**(-11))**(1/54))**(-5/7) assuming o is positive.
o**(-95/648)
Simplify b**(5/2)*b**3*b/b**(-6/11)*(b**22/b)/b assuming b is positive.
b**(595/22)
Simplify (t**23*(t/(t/(t/(t/(t*(t*t**(-29)*t)/t)))))/t)/(t**(8/9)*t)**(-2/65) assuming t is positive.
t**(-2891/585)
Simplify (f**11*f*f*f**(-1/12)*f)/(((f**(2/13)*f)/f*f)/f*f)**(-5/3) assuming f is positive.
f**(2471/156)
Simplify (((b**(-1/3)/b)**(4/19))**10)**3 assuming b is positive.
b**(-160/19)
Simplify (((n*((n*(n*n/(n/n**(-27)))/n)/n)/n)/(n/(n/((n/n**(1/3))/n*n))))**(-14))**(4/23) assuming n is positive.
n**(4648/69)
Simplify ((u/(u**(2/5)/u))/u**(-2)*(u/u**(6/7))/u*u**(-2/9))**(1/8) assuming u is positive.
u**(397/1260)
Simplify ((o**17/o)/(o*o/(((o/(o*o**(-15)*o)*o)/o*o)/o)))/(o**(-1/18)*o*o**(3/4)*o) assuming o is positive.
o**(911/36)
Simplify (u**(-1/22))**32/(u**2)**(-24) assuming u is positive.
u**(512/11)
Simplify ((y*y/((y/((y*y/y**(3/5))/y)*y)/y))/(y*y**5/y*y)*((y**(-2/5)/y)/y)**(-46/5))**(-5) assuming y is positive.
y**(-437/5)
Simplify (x*(x*(x*x/((x/x**4)/x)*x*x)/x*x)/x)**(6/7)*(x**9/x*x)**(-32) assuming x is positive.
x**(-1962/7)
Simplify (s*s*s/(s/s**(-3/5))*s)**(-45)/(s**(12/7)*s**(-29)) assuming s is positive.
s**(-565/7)
Simplify (m**(-8/7))**(2/17)/(m**(-4)*m/(m/(m*m*m**(2/11)))) assuming m is positive.
m**(2204/1309)
Simplify (a**(-17)*a**(-5/6))/((a*a**(-9)/a)/(a/(a/a**28))) assuming a is positive.
a**(115/6)
Simplify (m**(2/9))**9/(((((m*m/((m/(m/(m/(((m*m**12/m*m*m)/m)/m))*m)*m)/m))/m)/m)/m)/m**4) assuming m is positive.
m**(-5)
Simplify (v**(-8/3)/(v/v**(-21)))**46 assuming v is positive.
v**(-3404/3)
Simplify (s**(11/6)/((s**32/s)/s))/(s/(s**(2/11)*s))**(2/7) assuming s is positive.
s**(-12989/462)
Simplify ((w**1)**27)**(-17) assuming w is positive.
w**(-459)
Simplify (q**(12/13)*q)/(q*q**(1/10)*q)*(q**(-7)*q)**(-29) assuming q is positive.
q**(22597/130)
Simplify ((n*n**(4/9)*n)/n*n/(n*n*n**0)*((n*n/(n**(-1/4)/n*n)*n)/n)**(8/11))**(-3/4) assuming n is positive.
n**(-103/66)
Simplify ((o/(o*o**(1/17)))/o)/o**(-2/3)*(o**(1/5))**(-4/5) assuming o is positive.
o**(-704/1275)
Simplify ((s/(s/(s*s/s**0)*s))**34*(s**(1/12)*s)/(s*s/s**6))**1 assuming s is positive.
s**(469/12)
Simplify (o/(o**(2/25)*o*o))/o**(-10)*(o**(-4/7)/o)/(o*o*(o**(-2/25)*o*o)/o) assuming o is positive.
o**(31/7)
Simplify (c**21)**48*c**(-2/69)*(c*c/(c/(c/(c/(c/(c/c**25)))))*c)/c assuming c is positive.
c**(71344/69)
Simplify y*y**12*y/(y/((y*y**(-1/7)*y)/y))*y/(y*y/(y**(-1/13)*y)*y)*y*y**13/y assuming y is positive.
y**(2346/91)
Simplify ((y*y**(-2/5))/y)**(4/13)*(y*(y*y**(-2))/y)**16 assuming y is positive.
y**(-1048/65)
Simplify (h*h**6)**(1/24)*h**(-4/5)*h**(-2/9)/h*h assuming h is positive.
h**(-263/360)
Simplify (j**(-3/4)*j**(5/2)*(j/j**(1/3))**(-3/17))**(-25) assuming j is positive.
j**(-2775/68)
Simplify (d**(-12/7)*d**25)/(d**(3/13)/d**(-5)) assuming d is positive.
d**(1643/91)
Simplify (j*((j**(-2)/j)/j)/j)**(-5/7)*(j**0*j*j)**(-35) assuming j is positive.
j**(-470/7)
Simplify (o*o**(-1/4)*o)**(-38)/(o/o**7*o**(-9)) assuming o is positive.
o**(-103/2)
Simplify (x**(-8)*x*x)**(-4/13)/(x/(x*x* | {
"pile_set_name": "DM Mathematics"
} |
*s
Let f(z) be the second derivative of 3*z**7/70 - 13*z**3/6 + 23*z**2/2 + 2*z. Let v(i) be the first derivative of f(i). What is the derivative of v(d) wrt d?
36*d**3
Let z(j) be the second derivative of 11*j**8/28 - j**5/20 - 7*j**4/6 - 23*j + 3. Find the third derivative of z(x) wrt x.
2640*x**3 - 6
Let v = -494 + 494. Let p(a) be the second derivative of v + 3*a - 5/2*a**2 + 1/6*a**3. Find the first derivative of p(i) wrt i.
1
Let s(a) be the second derivative of 11*a**6/10 - 2*a**3 - 335*a**2 - a + 75. What is the first derivative of s(v) wrt v?
132*v**3 - 12
Let b(f) be the first derivative of f**5/5 - f**4/6 - 12*f - 3. Let y(v) be the first derivative of b(v). What is the third derivative of y(w) wrt w?
24
Let p be (-5 + 88/16)/((-2)/(-60)). What is the derivative of -10 + 20*h - p - 20*h + 3*h**3 wrt h?
9*h**2
Let y(x) = -8*x - 2. Let i be y(-2). What is the second derivative of i*u**3 - 2*u - 3*u - 3*u - 4*u wrt u?
84*u
Let v(t) be the first derivative of -5/7*t**7 + 0*t**5 + 0*t**2 + 0*t**6 - 11 - 2*t**3 + 0*t + 0*t**4. Find the third derivative of v(g) wrt g.
-600*g**3
Let s(o) = 7*o + 3*o**3 + 9*o**3 + 3*o. Let x(f) = -13*f**3 - 10*f. Let i(t) = 6*s(t) + 5*x(t). Find the second derivative of i(r) wrt r.
42*r
Let s(n) = n - 1. Let a be s(-6). Let k = -5 - a. Find the first derivative of 2*g - 14 - k*g + 10 - 2*g**3 wrt g.
-6*g**2
Let a(f) = -5*f - 3. Let w be a(-1). Find the third derivative of w*z**2 - 5*z**2 - 15*z**6 - 5*z**2 - 7*z**2 wrt z.
-1800*z**3
Let m(y) = -63*y**2 + 138*y + 6. Let n(k) = 65*k**2 - 136*k - 5. Let l(x) = -5*m(x) - 6*n(x). What is the second derivative of l(r) wrt r?
-150
Differentiate 109*o**4 - 146*o**4 + 296*o**4 + 65 + 354 + 150*o**4 with respect to o.
1636*o**3
Let u(c) = -14*c**2 - 30*c - 34 + 60*c - 32*c. Let a(r) = -13*r**2 - 2*r - 35. Let h(j) = -4*a(j) + 3*u(j). Differentiate h(g) wrt g.
20*g + 2
Suppose 3*q - 16 + 10 = 0. Let y = 1 + 1. What is the derivative of -t**2 + t**2 + q*t**2 + y + 2*t**2 wrt t?
8*t
Let x(a) be the third derivative of -5*a**9/168 + a**7/210 + a**5/20 + 8*a**3/3 + 166*a**2. What is the third derivative of x(g) wrt g?
-1800*g**3 + 24*g
What is the third derivative of -2*g**5 + 32*g**2 - 39*g**6 + 9*g**5 + 15*g**2 + 36*g**6 wrt g?
-360*g**3 + 420*g**2
Let c = 30 + -21. Let a be (-8)/(-2) + (8 - c). Find the first derivative of -9*n**3 - 3 + 5 + 6 - 2*n**a wrt n.
-33*n**2
Suppose 0 = -5*y + 4*y - 4*z + 17, -5*z = -3*y + 17. What is the derivative of 0 + 4*r**2 + y*r**2 - 6 wrt r?
26*r
What is the first derivative of -135 + 150*w + 42*w - 27*w wrt w?
165
Differentiate 1711 + 332*v**2 - 929 - 955 wrt v.
664*v
Let q(r) be the first derivative of 23*r**7/7 + r**3 - 22*r - 9. Find the third derivative of q(c) wrt c.
2760*c**3
Let t(z) = -242*z**2 + 502*z. Let o(l) = 241*l**2 - 503*l. Let f(n) = 4*o(n) + 5*t(n). What is the second derivative of f(r) wrt r?
-492
Let r(c) = 109*c**4 - 4*c**3 - 3*c**2 + 3*c. Let s(d) = 109*d**4 - 5*d**3 - 3*d**2 + 4*d. Let t(o) = -5*r(o) + 4*s(o). Find the third derivative of t(m) wrt m.
-2616*m
Let d(q) be the first derivative of 6*q**5/5 + 2*q**3 + 9*q**2/2 - 3*q - 7. What is the second derivative of d(l) wrt l?
72*l**2 + 12
Let b(g) = g**3 - g**2 - 4*g + 7. Let x be b(2). Find the second derivative of q + 3*q**4 - 3*q + x*q + 11*q**4 wrt q.
168*q**2
What is the second derivative of 4*p**3 - 7*p**3 + 2*p**3 - 79*p + 6*p**4 - 58*p**4 - 36*p wrt p?
-624*p**2 - 6*p
Let m(r) = -r**3 - 9*r**2 - 10*r - 16. Let f be m(-8). Let z(a) be the first derivative of -4*a + 1 + f*a**2 + 4/3*a**3. What is the derivative of z(i) wrt i?
8*i
Find the first derivative of -971 + 82*w - 151*w**2 + 85*w - 169*w wrt w.
-302*w - 2
Let a(b) be the first derivative of 3 + 0*b**2 + 3/2*b**4 - 14/3*b**3 + 0*b. Find the third derivative of a(v) wrt v.
36
Let u(i) be the second derivative of 119*i**4/6 - 142*i**2 - 188*i. Differentiate u(d) wrt d.
476*d
Suppose 4*j + x = 3, 4*j + x - 5*x = 28. Find the first derivative of m**2 + 13 - 2*m**j - 2*m**2 wrt m.
-6*m
Suppose -4*j - 3*b = -5*j + 17, 47 = 4*j - 5*b. Find the third derivative of -106*t**5 + 114*t**5 - j*t**2 - 4*t**2 wrt t.
480*t**2
Let l be -11 - (6/3 + -3). Let g be -2 + 0 - (l + 6). Let u(s) = -3. Let h(x) = x + 3. Let c(p) = g*h(p) + 3*u(p). What is the first derivative of c(o) wrt o?
2
Let d(y) be the second derivative of 18*y**2 + 0 + 0*y**3 - 40*y - 1/6*y**4 + 0*y**5 + 7/30*y**6. Differentiate d(c) with respect to c.
28*c**3 - 4*c
Let i(y) be the first derivative of 0*y**4 + 0*y + 0*y**2 + 5 + 0*y**5 + 22/3*y**3 + 1/2*y**6. What is the third derivative of i(o) wrt o?
180*o**2
Let r(y) be the first derivative of -17*y**5/5 - 2*y**3/3 + 711*y - 412. Differentiate r(b) wrt b.
-68*b**3 - 4*b
Suppose -15 = -5*s, 3 = l - s + 6. Let a = l + 7. Find the second derivative of 2*y**4 - 3*y**4 + a*y + 6*y**4 - 2*y wrt y.
60*y**2
Suppose -4*q = 0, -4*x + 7*q = 2*q - 8. What is the second derivative of 6*h**5 + 8*h + 0*h**5 - x*h**5 wrt h?
80*h**3
Let f(k) be the second derivative of -k**5/20 + 19*k**4/12 - 111*k**2/2 + 10*k - 10. Differentiate f(w) with respect to w.
-3*w**2 + 38*w
Let o = -23 + 35. Suppose -2*g = 8, 3*g + 4 + o = 2*y. What is the third derivative of -4*l**3 + 2*l**2 + 2*l**2 + y*l**3 wrt l?
-12
Let c = -12 - -14. Suppose 4 = v + c. Find the second derivative of -2*w**2 - 4*w**v - w + w**2 wrt w.
-10
Let h(i) = -i**3 - i + 1. Let p(x) = -40*x**3 - 3*x + 31. Let s(q) = -3*h(q) + p(q). Differentiate s(z) with respect to z.
-111*z**2
Find the second derivative of 302*m**3 + 99*m - 110*m - 294*m**3 wrt m.
48*m
Let t(n) be the second derivative of 3*n**7/7 - 7*n**4/2 - n**2 + 64*n. What is the third derivative of t(a) wrt a?
1080*a**2
Let o(z) be the second derivative of -155*z**3/6 + 175*z**2/2 + 37*z - 1. What is the derivative of o(k) wrt k?
-155
Let m(c) = c**3 - 10*c**2 + 15*c + 11. Let o be m(8). Differentiate 4*p**3 + 5 + 6*p**3 - 2*p**o + 5*p**3 with respect to p.
39*p**2
Suppose -8*k + 2*k = -14316. What is the derivative of 3*m**2 + k - 2*m**2 - 2408 - 2*m**3 wrt m?
-6*m**2 + 2*m
Find the third derivative of -36*m**3 - 119 - 81*m**2 + 119 wrt m.
-216
Let r(m) = m - 12. Let p be r(13). Let a(v) = p - 3 - 3 + 4. Let f(c) = c - 1. Let d(u) = a(u) - 2*f(u). Find the first derivative of d(j) wrt j.
-2
Let i(n) be the third derivative of -77*n**6/120 - n**4/12 - 7*n**3/6 + 52*n**2 + n. What is the second derivative of i(j) wrt j?
-462*j
Differentiate -434*v - 42595 - 211*v + 42281 with respect to v.
-645
Let q(i) = i**3 + 4*i**2 + 3*i + 2. Suppose -2*g - 3 = -g. Let p be q(g). What is the third derivative of -t**5 + 4*t**2 - t**p - 2*t**5 - t**5 wrt t?
-240*t**2
Let d(w) = w**3 - 27*w**2 - 25*w - 54. Let f be d(28). Find the third derivative of 15*t**5 - f*t**2 + 3731*t**4 - 3731*t**4 wrt t.
900*t**2
Differentiate -241*h**4 - 29 + 2*h**3 + 115 - 2*h + 119 + 2*h with respect to h.
-964*h**3 + 6*h**2
Suppose -s + 1 = g, -2*s - 4 + 2 = g. What is the third derivative of -4*k**3 + g*k**3 + 42*k**2 + 7*k**4 - 25*k**2 wrt k?
168*k
Let a(g) be the first derivative of -59*g**5/5 - 14*g**3 + 50. What is the third derivative of a(h) wrt h?
-1416*h
Let b(f) = -f. Let d be (12/8)/((-1)/(-2)). Let t(h) = h**3 + 8*h - 6*h**3 - d*h + 0*h. Let o(m) = 4*b(m) + t(m). What is the second derivative of o(p) wrt p?
-30*p
Let a(j) be the first derivative of 167*j**2/2 - 128*j + 192. Find the first derivative of a(o) wrt o.
167
Let i(h) be the first derivative of -h**5/12 - 11*h**4/24 + 9*h**2/2 - 15. Let u(n) be the second derivative of i(n). Find the second derivative of u(d) wrt d.
-10
Differentiate 203*s**4 + 238*s**4 - 165*s**4 - 333 - 55 wrt s.
1104*s**3
Find the third derivative of -44913 + 708*x**3 - 16*x + 17*x**2 + 44913 wrt x.
4248
Let n be 1 + (14 + 1)/5. Suppose 5*f + 282 = 3*p, 254 = n*p + f - 99. What is the third derivative of r**6 - p*r**5 + 89*r**5 - 11*r**2 wrt r?
120*r**3
Let t = 874 - 871. Let r(s) be the first derivative of 0*s + 1/2*s**2 + 0*s**t - 2*s**4 + 1. What is the second derivative of r(w) wrt w?
-48*w
Let x be (-6)/(-15)*(-220)/(-8). What is the second derivative of -c - 12*c**2 + 5*c**2 + x*c wrt c?
-14
What is the third derivative of -93 + 257 - 32*h**4 - 98 - 3*h**5 + h**2 wrt h?
-180*h**2 - 768* | {
"pile_set_name": "DM Mathematics"
} |
4/24 + t**3 + 2*t**2. What is the remainder when h(-4) is divided by n?
4
Suppose 5*t = 3*c - 100, 0 = -5*c + 4*c + 2*t + 32. Suppose -10 = -2*o - 2*k + 8, 0 = -k - 5. What is the remainder when c is divided by o?
12
Let o be (-6 + 1)/(-2 + 1). Suppose -q - 3 = -2*b - 5, o*b + 2 = q. Suppose q = m - 2. Calculate the remainder when m is divided by 3.
1
Suppose -3*b + 50 = 2*t + b, b - 3 = 0. What is the remainder when 35 is divided by t?
16
Suppose 0 = 3*w + 2*w - 140. Suppose 0 = -2*m - 5*y + 5, 3*m = -3*y + 4*y + 33. Calculate the remainder when w is divided by m.
8
Let w(c) be the second derivative of -5*c**3/6 - c**2 + 4*c. Calculate the remainder when 13 is divided by w(-2).
5
Let r(u) = -5*u + 15. What is the remainder when 15 is divided by r(2)?
0
Suppose -p - 12 = -5*p. Let n = 2 + 0. Suppose -p*r = n*r - 70. What is the remainder when r is divided by 8?
6
Let l be (4 + -4)*(-1)/3. Suppose -18 = -2*h - l*h. Let s(a) = a - 1. What is the remainder when 14 is divided by s(h)?
6
Suppose -2*v - 33 = -3*v. Let c = v + 8. Suppose 3 = -j + c. Calculate the remainder when j is divided by 13.
12
Let i = 6 - -6. Suppose -3*a - 137 = -4*j - 6*a, a + 71 = 2*j. Calculate the remainder when j is divided by i.
11
Let k = -77 - -45. What is the remainder when 1*(0 + -1)*k is divided by 17?
15
What is the remainder when 32 is divided by 750/70 - 4/(-14)?
10
Suppose 6 - 21 = 3*z. Let x be (8/z)/(2/(-10)). Suppose -x = 4*k - 80. What is the remainder when 52 is divided by k?
16
Let b(v) = v**3 + 6*v**2 - 9*v - 9. Let t be b(-7). Suppose -11 - 3 = -w - t*z, 0 = w + 3*z - 10. Calculate the remainder when 15 is divided by w.
3
Let f(c) = 6*c**2 - 7 + 2*c**3 + 6*c + 2 - 3*c**3. Let q be f(5). Let i = q + -19. Calculate the remainder when i is divided by 11.
9
Let j = -9 - -15. Suppose 0 = 2*a + 5*i - 121, -12 = 4*i - 0. Suppose 0*r + a = 4*r. What is the remainder when r is divided by j?
5
Suppose 0*y = 4*y - 276. Calculate the remainder when y is divided by 18.
15
Let g(o) = o**3 - 5*o**2 + 3*o - 6. Let w be g(4). Suppose -4*a = -a + 9. Let q = a - w. Calculate the remainder when q is divided by 3.
1
Let m(z) be the third derivative of z**6/120 - z**5/20 + z**4/8 - z**3 + 2*z**2. Let f = 6 + -1. What is the remainder when m(f) is divided by 15?
14
Let x(j) = -j**2 + j + 4. Let y be x(0). Suppose 0*b + 60 = y*b. Calculate the remainder when b is divided by 18/(-24) - ((-81)/(-4))/(-3).
3
Suppose v + 25 = 6*v. What is the remainder when 2/3 - (-38)/6 is divided by v?
2
Suppose 0*y - 2 = -2*p - 3*y, -2*p + 4*y = -16. Calculate the remainder when 1/(-6) + (-671)/(-66) is divided by p.
2
Suppose -3*x = 3 - 0. What is the remainder when (x - 0)*(-1 + -28) is divided by 8?
5
Suppose 4*m = -0*m + 28. Suppose m + 3 = h. Suppose 4*c = s - 0*c - 3, 5*s - c - 91 = 0. What is the remainder when s is divided by h?
9
Suppose -4*q + q = -42. Suppose i + q = 3*i. Suppose -5*w = 4*x - 22 - 49, -w = 2*x - 37. What is the remainder when x is divided by i?
5
Let c = 26 - -70. What is the remainder when c is divided by 33?
30
Suppose -s + 157 = 3*v, -3*s + 375 = -3*v - 144. Calculate the remainder when s is divided by 57.
55
Let d(f) = -f**3 - 3*f**2 + 10*f + 7. Let o be (-4 + 5)*(66 - -1). Let t = o + -48. Calculate the remainder when d(-6) is divided by t.
17
Suppose 0*o = -4*o + 88. What is the remainder when 42 is divided by o?
20
Let k be (-2)/(-5)*(8 - 3). Suppose 0 = 5*m - k*m - 159. Calculate the remainder when m is divided by 28.
25
Suppose w - 3 = -3*u + 4*w, 4*u + 3 = -3*w. Suppose u*p = 4*p - 56. What is the remainder when 39 is divided by p?
11
Let g(l) = -l**3 + 6*l**2 + 7*l + 4. Let n be g(7). Let v = n + -38. Calculate the remainder when 13 is divided by 2/9 - v/9.
1
Suppose 56 = 5*h - 4. Let j be 2/(-9) - 2/(-9). Suppose 4*s - 16 - 76 = j. What is the remainder when s is divided by h?
11
Suppose 0 = -8*b + 3*b + 10. Suppose 3*u + b*h = 5*h + 15, -3*u = -h - 11. Calculate the remainder when 9 is divided by u.
0
Let b(v) = -14*v - 86. Let x(q) = 3*q**3 - 4*q**2 + q + 1. What is the remainder when x(3) is divided by b(-8)?
23
Suppose -5*s = -4*c - 62, -5*c + 0 = s + 5. Suppose -36 = -3*y + y. What is the remainder when y is divided by s?
8
Let n(r) be the second derivative of -r**5/20 - r**4/2 - r**3/6 + r**2/2 + 3*r. Suppose -v + 13 = -0*v. Calculate the remainder when v is divided by n(-6).
6
Suppose -f - 3*f = -4. Let n(x) = 36*x + 1. Let q = -5 + 24. Calculate the remainder when n(f) is divided by q.
18
Let k(m) = -m**3 - 10*m**2 + 8*m + 9. Let b be k(-11). Suppose b = 4*s - 18. What is the remainder when s is divided by 9?
6
What is the remainder when 10/((-10)/(-8) + -1) is divided by 14?
12
Let t be (-22)/(-6) - 2/3. Suppose 24 = t*o - o. Suppose 6*c - o = 3*c. What is the remainder when 15 is divided by c?
3
Suppose -2*z + 7 = 5*r, 4*z + 2*r - 6 + 0 = 0. Calculate the remainder when 13 is divided by 10 + (1/z - 4).
6
Let u(y) = -5*y**3 + 2. Let o be u(-2). Suppose -2*r + 2 = -o. Calculate the remainder when 63 is divided by r.
19
Let h(z) = -14*z. Let j be h(6). Calculate the remainder when 12 is divided by (j/(-18))/(2/3).
5
Suppose -2 = -3*z + 7, -4*a + 3*z - 5 = 0. Let d(r) = r**2 - 19*r - 5. Calculate the remainder when 30/a + (0 - 1) is divided by d(20).
14
Calculate the remainder when 87 is divided by (7 + -4)/(-3) + 23.
21
Let t = -34 - 107. Calculate the remainder when (-3 + 4)/((-3)/t) is divided by 16.
15
Suppose 99 + 54 = 3*a. Calculate the remainder when a is divided by 13.
12
Let y = -12 + 18. Suppose f + 65 = y*f. What is the remainder when 61 is divided by f?
9
Let g(j) = -j**3 + 8*j**2 + 10*j - 7. Calculate the remainder when 4 is divided by g(9).
0
Let o be (5/3)/((-3)/45). Let j = 35 + o. Calculate the remainder when 37 is divided by j.
7
Let j(w) = 7*w**2 + 2*w. What is the remainder when j(-2) is divided by 13?
11
Let x(o) = o**3 + 12*o**2 - 16*o - 30. Calculate the remainder when x(-13) is divided by 5.
4
Suppose 0 = y - 4*y + 12, -4*q + 64 = -4*y. Calculate the remainder when 37/((-2)/(-12) + (-5)/(-6)) is divided by q.
17
Suppose 10*d - 18 = 8*d. Calculate the remainder when 25 is divided by d.
7
Suppose 64 = 5*z - 136. Suppose -419*v = -427*v + 168. What is the remainder when z is divided by v?
19
Let q = 44 - 29. Let o(u) = 2*u - 1. Let m be o(2). Suppose 0 = m*l - 3, 143 = 3*t + 3*l + 56. Calculate the remainder when t is divided by q.
13
Let d(k) = k. Let v(u) = -5*u + 5. Let g(i) = 4*d(i) + v(i). What is the remainder when 8 is divided by g(0)?
3
Let l(q) be the third derivative of -q**4/8 + q**3/6 - 2*q**2. Let t be l(1). What is the remainder when 3 is divided by 3 - (t - (-6 - -3))?
1
Let u(m) = m**3 + 6*m**2 + 2*m - 4. Let f be 14/1*2/4. Let i(n) = n - 12. Let g be i(f). What is the remainder when 21 is divided by u(g)?
10
Let q(p) = -2 + 4*p - p + 3. Calculate the remainder when (1/(-5))/((-3)/285) is divided by q(3).
9
Suppose -p + 43 = -4*k, -86 = -2*p - 5*k + k. Suppose 5*j = -7*w + 3*w - p, -3*w - 76 = -5*j. Let m = w + 28. Calculate the remainder when 31 is divided by m.
9
Suppose 0 = -3*x + 10 - 4. Suppose 0 = 3*q - 3*b + 5 + 7, x*b + 13 = -5*q. What is the remainder when (6/4)/(q/(-28)) is divided by 5?
4
Suppose -4*o - 4*p + 98 = o, 4*o - 76 = -2*p. Let j = -16 - -18. Suppose 3*i - j*i - 10 = 0. What is the remainder when o is divided by i?
8
Let m(f) = -2*f**3 - 5*f**2 - 2*f + 8. Calculate the remainder when m(-4) is divided by 11.
9
Suppose 4*y - 3*y = 3. What is the remainder when 3 is divided by y?
0
Let s = -6 + 5. Let m(h) = 38*h**3 + 7*h + 1. Let v(x) = 37*x**3 + 6*x + 1. Let f(g) = 4*m(g) - 5*v(g). What is the remainder when f(s) is divided by 18?
16
Let h(j) = 0*j**2 + 2 + 3*j**2 - j**3 - 4*j + j**2 + 0*j**3. Let t be h(3). Calculate the remainder when t*2 - 3*-8 is divided by 8.
6
Suppose 58*h = 54*h + 76. What is the remainder when 54 is divided by h?
16
Suppose -4*r - 16 = 4*d - 44, r + 41 = 5*d. Let y(m) = -m**2 + 12*m - 6. Calculate the remainder when y(d) is divided by 9.
8
Suppose 9*y = 4*y - 40. Let b = 11 + y. Suppose g - b*g - 192 = -5*u, -g - 1 = 0. Calculate the remainder when u is divided by 13.
12
Let t be 3/((-9)/(-2) + -3). Let x = 9 - t. What is the remainder when 26 is divided by x?
5
S | {
"pile_set_name": "DM Mathematics"
} |
e 0 = c*y - 16*y + 12. Let x(l) = l**2 - 6*l - 5. Calculate x(y).
-5
Let t = 34 + -53. Let o = 21 + t. Let g(u) = -23*u**2 - 1 + 3 + 25*u**o. Determine g(-2).
10
Let d(g) = -g**2 - 3*g - 3. Let r be ((-72)/(-84)*-7)/2. Determine d(r).
-3
Let b(d) = -190*d**2 + 0 - 6*d - 1 + 194*d**2 + d**3. What is b(-5)?
4
Suppose 0 = -7*a + 147 + 763. Let v(u) = 6 - 254*u + a*u + 123*u + 1. Determine v(7).
0
Let m(d) = -8*d**2 - 17*d - 11. Let f(c) = -c**2 - c - 2. Let q(p) = -6*f(p) + m(p). What is q(-6)?
-5
Let t(d) = 5*d - 6. Let j = 565 + -562. Give t(j).
9
Let o(x) = 13*x**2 + 9*x + 4. Let b(g) = -37*g**2 - 25*g - 11. Let u(k) = -4*b(k) - 11*o(k). What is u(-1)?
4
Let k(y) = -46 + 45 + 6 - y. Calculate k(5).
0
Let b(k) = k**2 + 23*k - 107. Let q be b(-27). Let h(g) = 23*g**2 - 1. Calculate h(q).
22
Let l(a) be the first derivative of 7*a**4/4 - a**3/3 + a - 189. Give l(1).
7
Let h(s) = -4*s**3 + 2*s**2 - 3*s + 7. Let k(d) = 2*d**3 - d**2 + 2*d - 4. Let a(v) = 4*h(v) + 7*k(v). Determine a(3).
-39
Let a(f) be the first derivative of f**4/4 + 5*f**3/3 + 2*f**2 + 3*f - 1. Let h = 40 + -38. Suppose -h*u = 2*u + 12. What is a(u)?
9
Suppose -2*g + g = 10. Let p = 10 + g. Let s(t) = -4*t**2 + 0*t**2 + 1 + p - t + 3*t. Determine s(-1).
-5
Let t(w) = w**2 - 13*w + 37. Let g be t(8). Let z(j) = j**3 + 2*j**2 - 9*j - 2. What is z(g)?
16
Let y(c) = 2*c**2 + 9*c - 3. Let v(h) = h**2 + 8*h - 3. Let p(u) = -5*v(u) + 4*y(u). Let k be 6/21 + (-12)/(-7). Determine p(k).
7
Let g be 2/(-1 - (1 + -3)). Let p(u) = -g*u**2 - u + 2 + 1 - 2 + u**2 - u**3. Give p(0).
1
Let d(a) = 14*a**3 + 2*a**2 + 3. Let y(m) = 60*m**3 + 9*m**2 + 13. Let x(v) = -9*d(v) + 2*y(v). Calculate x(-2).
47
Let m(w) = -3 + 8*w + 11 + 3*w - w. Let x(s) = -s - 1. Let h(a) = -m(a) - 5*x(a). Suppose 0 = -n - 2*n + 15, n - 8 = c. Give h(c).
12
Let y(h) = -h - 18. Let z be y(7). Let q = -24 - z. Let x(o) = 2*o**2 + 0*o**2 + 5*o**3 - 1 + 3*o**3. What is x(q)?
9
Suppose 99 = 5*t - t - 3*s, -t + 2*s = -31. Let g(l) = 2*l - 44 - l**2 - 8*l + t + 20. Calculate g(-6).
-3
Let z(i) be the first derivative of -2/3*i**3 + 3/4*i**4 - 22 + 0*i**2 - i. Calculate z(2).
15
Let k = -14 + 10. Let z = k + 3. Let g(a) = 167 - a**2 - 136 - 31. Give g(z).
-1
Let n(y) = -y**2 - 2*y + 1. Let b(p) = -p**2 - 10*p - 6. Let z(g) = -g**3 + 15*g**2 - 15*g + 5. Let v be z(14). Let o be b(v). Suppose -o - 1 = -4*m. Give n(m).
-2
Let a(r) = -r**3 + r**2 - r + 1. Let p(h) = -5*h**3 + 7*h**2 - h + 4. Let b(l) = 4*a(l) - p(l). Let q be 3*2/2*(-1 + 1/3). Give b(q).
-14
Let v(c) be the first derivative of -c**3/3 + 3*c**2/2 - c + 127. Suppose -4*p = -4*j - 20, -p - j = 2*j - 1. Calculate v(p).
-5
Let p be (2/6)/(3/18). Let q be -1*(4 - 2) + p. Let o(x) = -5*x + 1. Let i(h) = 4*h - 2. Let g(l) = 4*i(l) + 3*o(l). Determine g(q).
-5
Let n be (-327)/(-12) - (-6)/(-24). Suppose n*b - 26*b + 3 = 0. Let w(c) = 4*c + 2. Determine w(b).
-10
Suppose -18 = 5*k + 2. Let q(c) be the first derivative of c**3/3 + 5*c**2/2 + 2*c + 60. What is q(k)?
-2
Let u = -6 - -11. Let o(k) = k**3 - 4*k**2 - 8*k + 7. Calculate o(u).
-8
Let f(b) be the second derivative of 0 + 1/3*b**3 + 2/3*b**4 + 21*b + 5/2*b**2 + 1/20*b**5. Calculate f(-8).
-11
Let c(z) be the first derivative of -11*z**2/2 + z + 9. Suppose -3*u = -3*v + 18, -u = -5*v + 1 + 13. Suppose v*g + 1 = 3. Calculate c(g).
-10
Let y(l) = 2*l. Suppose 3*v - 5*v - 32 = 0. Let p = -13 - v. Suppose 5 = 2*i - p. Determine y(i).
8
Let d(l) = -l**2 - 8*l + 2. Let a be d(-8). Let k(x) = -3*x - a + 2*x + x + 2*x. Let v(c) = c**2 - c - 32. Let p be v(6). What is k(p)?
-6
Let c be (15/(-10))/((-6)/16). Let j(t) = -t**3 + 6*t**2 - 6*t - 2. Let l(p) = -p**3 + 6*p**2 - 6*p - 1. Let z(y) = c*j(y) - 5*l(y). Give z(5).
2
Let n(f) = -2*f + f**2 + f + 4 + 8*f. Suppose -3*p - 14 = -56. Suppose 7*b - p = -56. What is n(b)?
-2
Let k be (-8)/(-28) + (2 - 16/7). Let a(g) = 4*g**3 - 12 + g + g**3 + g**2 - 4*g**3. What is a(k)?
-12
Let t(i) be the first derivative of i**4/4 - 5*i**3/3 - 2*i**2 - 4*i - 70. Determine t(6).
8
Let n(s) = -s**3 - 4*s**2 - s - 4. Suppose -k - 98 = -8*k. Suppose 20*i - k*i + 24 = 0. What is n(i)?
0
Let h(l) = l**2 + 7*l - 10. Suppose 12 = -3*i, f - i - 2 + 5 = 0. Determine h(f).
-10
Let f = 41 + -37. Suppose -x - 2*x + f*i - 16 = 0, -x - 5*i = -20. Let m(h) = h - 2. What is m(x)?
-2
Let h(r) = r**2 - 2*r + 1. Let v be h(3). Let z be ((-3)/24)/((-1)/8). Let a(l) = -z + 3 - v*l - 5 + 2 - 2*l**2. Give a(-3).
-7
Let o = -178 - -178. Let x(k) = k - 8. Determine x(o).
-8
Let r(f) = -f + 12. Let a be r(7). Let h be 0 - (a - 2 - 10). Let s(i) = i**3 - 8*i**2 + 7*i + 3. Let w be s(h). Let g(q) = -3*q - 1. What is g(w)?
-10
Let z(m) = -m**3 - 4*m**2 + 11*m - 9. Suppose v = 9*s - 4*s + 32, -2*s + 4*v = 20. Give z(s).
-3
Let h(n) = n**2 - 2*n + 4. Let q be h(0). Suppose -q*c - 35 = c. Let d(r) = -r**2 - 5*r + 4. What is d(c)?
-10
Let p be (-10)/(-2) + (-26)/((-208)/(-24)). Let n(a) = 0*a + 2 - 4*a + a + 2*a**2. What is n(p)?
4
Let n(u) = -u**3 - 5*u**2 + 14*u - 5. Let o be n(2). Let h(q) = -q**3 - 6*q**2 - 4*q + 7. What is h(o)?
2
Let i(l) be the third derivative of l**4/24 - l**3/6 - 2*l**2. Suppose 26*k = 22*k - 64. Let t(q) = -3*q - 43. Let r be t(k). Calculate i(r).
4
Let g(z) = -z**3 + 7*z**2 - 5*z + 3. Let a(q) = -24*q + 6. Let k be a(0). Calculate g(k).
9
Let s(y) = -3*y + 5. Let c(f) = 4*f - 6. Let a = -1 + -2. Let t(k) = a*s(k) - 2*c(k). Calculate t(3).
0
Let n = -16 - -18. Let f(k) = 10*k + n*k + 3*k + 3 - 12*k. Give f(-2).
-3
Let g be (-6 + 3)/((-3)/2). Suppose 70 = -8*l - g*l. Let d(q) = q**2 + 8*q - 1. Calculate d(l).
-8
Suppose -13*m + 27 = 66. Let b(w) = 2 + 3*w**2 - 3*w - 5 + w**3 - 2 + 2. Give b(m).
6
Let s(u) = -u**3 - 6*u**2 + 1. Let l(t) = -4*t - 18. Let j(i) = -7*i - 37. Let a(g) = 3*j(g) - 5*l(g). Let q be a(-15). Determine s(q).
1
Let n(x) = 2*x**2 + 18*x + 8. Suppose -26*y - 196 - 12 = 0. What is n(y)?
-8
Let b(p) = -p**2 - 2*p + 3. Suppose -x = v + 5, 16 = -2*x - x - 4*v. What is b(x)?
-5
Let n(d) = -11*d**3 - 23*d**2 + 11*d + 12. Let z(p) = 5*p**3 + 11*p**2 - 5*p - 6. Suppose -2*g - 10 + 2 = -s, g = -2. Let b(u) = s*n(u) + 9*z(u). What is b(-7)?
1
Let y(m) = -11*m - 10. Let w be y(-5). Suppose -4*d - 60 = -c + w, 3*c = 3. Let u = d - -29. Let l(b) = -b**3 + 3*b**2 - 2*b + 4. Calculate l(u).
-2
Let m = 20 - 8. Let d be 0*((-3)/m)/(-1). Let p(j) = -j**2 + j - 14. Calculate p(d).
-14
Let a(p) = -83 - 74 + 0*p**2 - 4*p - p**2 - 83 + 237. Let w(v) be the first derivative of v**2/2 - 10*v + 2. Let s be w(6). Give a(s).
-3
Let n = 0 + 2. Suppose -10*k = -6*k. Let u(w) = -2*w**2 + w**3 + 853*w - 3 - 849*w + k*w**2. Determine u(n).
5
Let g(c) = 5 + 3*c**2 + 5*c - 2*c**2 + 0*c**2. Let q be (-15)/5*(-5)/3. Suppose -4*z - 2*p = 10, 15 = -5*z - 3*p + q. What is g(z)?
5
Let p(q) = -q**3 - 2*q + 9. Let l(n) be the first derivative of -n**4/4 + n**3/3 - n**2 + 10*n + 2. Let w(m) = -5*l(m) + 6*p(m). Give w(-3).
-8
Let v(a) = 9*a**2 - 2*a - 1. Let c(n) = -8*n**2 + 2*n + 1. Let s(j) = -3*c(j) - 2*v(j). Suppose -2*r - r + 6 = 0. Calculate s(r).
19
Let n = -8 + 8. Suppose 2*w + w - 6 = n. Let h(s) = 0*s**2 - 2*s**2 - 2 + s**2 + 1 - w*s. Determine h(-3).
-4
Let q be (0 - 0)*6*2/12. Suppose -28 = -4*n - 2*y, q*y - 16 = -2*n - 2*y. Let p(g) = -g**3 + 5*g**2 + 6*g + 1. Give p(n).
1
Let h(a) = a - 1. Let t be h(-7). Let c(g) = 5 - 8*g + 6*g**2 + 0*g**2 - 7*g**2. What is c(t)?
5
Suppose -3*d + 2*s - 1 = -14, 0 = 4*d - 4*s - 16. Let j(h) = -h**2 + 8*h - 14. Give j(d).
1
Let j(y) = 64*y + 12. Let t(o) = 23*o + 4. Let f(l) = 5*j(l) - 14*t(l). Determine f(9).
-14
Let t be ((-14)/(-6) - 2)*15. Suppose 8 + 7 = -3*y, -4*f = y + 1. Let v(p) = -f - p + 0 - 3. Give v(t).
-9
Let w(b) = 8*b**2 - b + 2. Let n = -56 - -54. Determine w(n).
36
Let n(l) be the third derivative of -l**6/120 - l**5/60 + l**4/24 + l**3/6 - 2*l**2. Suppose 75*g + 2*i - 4 = 73*g, 5*i = 15. Give n(g).
0
Let z(g) = -g + 7 + 9*g**2 + 0*g**2 + 6*g**2 - 13*g**2 - g**3. Determine z(3).
-5
Let w(f) = -f**2 - 3*f - 1. Let z(h) = -3*h**2 - 8*h - 4. Let m(t) = -8*w(t) + 3*z(t). Let c(j) = -j - 9. Let v = 14 + -23. Let a be c(v). What is m(a)?
-4
Suppose s - 31*s + 210 = 0. Let h(n) = n + 5. Determine h(s).
12
Suppose 3*o - 17 = 3*j - 2, 0 = 3*j - 2*o + 13. Let s be ((-1 | {
"pile_set_name": "DM Mathematics"
} |
f.
16
Solve -3*w - 36 = 10*w - 31*w for w.
2
Solve -104*u = 177 + 759 for u.
-9
Solve 48675*q = 48683*q - 136 for q.
17
Solve -89*y - 864 = -233*y for y.
6
Solve 240*i = 2548 + 1532 for i.
17
Solve 0 = -36*c + 27*c + 315 for c.
35
Solve -15*x + 124*x - 1128 = 616 for x.
16
Solve -5*c + 6*c - 71015 = -71031 for c.
-16
Solve 0 = -418*l - 576*l + 34790 for l.
35
Solve 11612*g + 1566 = 11873*g for g.
6
Solve -13*r - 156 = -169 for r.
1
Solve -60*v + 5*v = -495 for v.
9
Solve -240 = -329*y + 317*y for y.
20
Solve -13 - 134 = 12*h - 15 for h.
-11
Solve 63*h + 53*h - 89*h = -594 for h.
-22
Solve 2294*h - 2268*h = 546 for h.
21
Solve -17*y = -8*y - 22*y for y.
0
Solve 164*g = 204 + 852 + 92 for g.
7
Solve 2150*a - 2325*a = 525 for a.
-3
Solve 8*u + 35 + 32 = -13 for u.
-10
Solve 2998*y - 2838*y + 1280 = 0 for y.
-8
Solve -175*k = 23*k + 254 - 1442 for k.
6
Solve 1044*s - 372*s - 14112 = 0 for s.
21
Solve -6*k = -7*k + 16*k for k.
0
Solve -16*a + 0*a = -8*a + 24 for a.
-3
Solve 13034*y - 741 = 13091*y for y.
-13
Solve -4*p - 8*p + 48 = -20*p for p.
-6
Solve 14 = 223*u - 43 - 166 for u.
1
Solve 0 = -0*l + 30*l - 24 - 126 for l.
5
Solve -15*b + 63*b = 259 + 29 for b.
6
Solve -309 = 38*y - 30 + 25 for y.
-8
Solve 94*d + 320 = -620 for d.
-10
Solve -23*d + 1025 - 1995 = -1016 for d.
2
Solve 27*f = 67*f - 35*f - 65 for f.
13
Solve -6386 + 6139 = -19*v for v.
13
Solve 68 = -15*x - 49*x + 1028 for x.
15
Solve -337 = 44*r + 238 - 135 for r.
-10
Solve -15440*i + 15405*i + 490 = 0 for i.
14
Solve 109*s + 448*s = 9469 for s.
17
Solve -41*c = -134 + 346 + 444 for c.
-16
Solve 213*k - 640*k - 468 = -41 for k.
-1
Solve 18*s - 21*s = -54 for s.
18
Solve -192 = -336*n + 320*n for n.
12
Solve 77*u = 192*u + 1035 for u.
-9
Solve 685*w + 704 = 861*w for w.
4
Solve 138*r = 106*r - 704 for r.
-22
Solve 16*l + 93 = 25*l + 22*l for l.
3
Solve -46*q = 83 + 50 - 87 for q.
-1
Solve 0 = 39*l + 72 - 306 for l.
6
Solve 0 = 421*g + 93*g - 3598 for g.
7
Solve -49*a - 647 + 1578 = 0 for a.
19
Solve 935*n + 953*n - 1901*n - 364 = 0 for n.
-28
Solve -2901 + 1605 = -144*f for f.
9
Solve -189*g + 627 = -215 - 670 for g.
8
Solve -40*w = 284 - 88 + 444 for w.
-16
Solve -185*c - 7*c = -960 for c.
5
Solve 2314*d - 2324*d - 110 = 0 for d.
-11
Solve 122*z + 460 = 102*z for z.
-23
Solve 114*o - 1904 = -422 for o.
13
Solve 44 = -4*p - 7*p - 66 for p.
-10
Solve 50 = -17454*g + 17449*g - 40 for g.
-18
Solve 34*x + 199 = -7*x - 211 for x.
-10
Solve 15 = -38*f - 23 for f.
-1
Solve 177 = 262*j - 321*j for j.
-3
Solve -628 = -10*y - 568 for y.
6
Solve -286*v + 51*v + 141*v = 3666 for v.
-39
Solve 140*t + 4400 = -80*t for t.
-20
Solve 117*s = 132*s - 106*s - 1365 for s.
-15
Solve -22 + 216 = 16*y - 62 for y.
16
Solve -1853*n + 1235 - 12230 - 3829 = 0 for n.
-8
Solve -298*j + 24 = -296*j for j.
12
Solve -1665*t - 1680*t + 3216*t + 3225 = 0 for t.
25
Solve -8837*z + 15295 = -8400*z for z.
35
Solve -46391 + 16397 - 43016 = -2086*b for b.
35
Solve 374*m = 260*m - 1596 for m.
-14
Solve 131629*l = 131612*l + 34 for l.
2
Solve -10602*r = -10615*r - 273 for r.
-21
Solve 2766*u - 2796*u + 600 = 0 for u.
20
Solve 39*j = 42*j - 16*j - 52 for j.
-4
Solve 9*w - 82 = -199 for w.
-13
Solve 32*y + 50754 - 50146 = 0 for y.
-19
Solve -649*v = -678*v + 344 + 178 for v.
18
Solve -115*v - 180 = -135*v for v.
9
Solve -690 = 28*b - 74*b for b.
15
Solve 70*p - 39*p + 56 = 39*p for p.
7
Solve 95*o + 111*o = 13*o - 4246 for o.
-22
Solve 2718 + 1269 = 345*c - 6363 for c.
30
Solve 2039 = 391*y + 2982 + 3358 for y.
-11
Solve -85*u = -65*u + 200 for u.
-10
Solve 295 - 7 = -48*k + 144 for k.
-3
Solve -61*o + 39*o + 52 = -26*o for o.
-13
Solve -686*n + 38 = -648*n for n.
1
Solve 16*r - 88 = -184 for r.
-6
Solve -59*v - 53*v = 16*v - 1664 for v.
13
Solve 0 = 6*x + 60451 - 60541 for x.
15
Solve 100*g - 96*g + 29 + 11 = 0 for g.
-10
Solve -518 = 43*f - 1378 for f.
20
Solve -864 - 216 = -158*l + 68*l for l.
12
Solve 392466 = -27*g + 392547 for g.
3
Solve -8*u + 5*u + 77*u - 962 = 0 for u.
13
Solve 0 = 5064*z - 4971*z - 61 - 32 for z.
1
Solve -4*y = 165*y + 311 - 2170 for y.
11
Solve -23*f + 64 = -39*f for f.
-4
Solve 605 = 57*r - 193 for r.
14
Solve 1017*y = 584*y + 7361 for y.
17
Solve 15 + 63 = 9*v + 15 for v.
7
Solve -25*o + 1417 = 992 for o.
17
Solve 27*d = 11*d - 4*d - 440 for d.
-22
Solve 64680*n = 64689*n + 45 for n.
-5
Solve 952 - 71 = -78*a - 523 for a.
-18
Solve 24*p - 894 = -894 for p.
0
Solve -6628*p = -6625*p - 6 for p.
2
Solve 30*f - 9810 = -10650 for f.
-28
Solve 79*h - 137*h = -1508 for h.
26
Solve -25*f + 8721 = 8471 for f.
10
Solve 100*w = 144*w - 81*w + 777 for w.
21
Solve 120*q - 44*q + 2280 = 0 for q.
-30
Solve 396*o - 1913 = 150*o - 437 for o.
6
Solve 0 = 4385*p - 4453*p for p.
0
Solve 681 + 177 = 66*d for d.
13
Solve -33 + 294 = 16*f + 13*f for f.
9
Solve -190*v = 1364*v - 17094 for v.
11
Solve -57*g - 48*g + 252 = -126*g for g.
-12
Solve 90*g - 430 - 213 = 167 for g.
9
Solve 21*g + 6570 = -343*g - g for g.
-18
Solve 89*x + 247 = -20 for x.
-3
Solve -12*i - 897 + 1053 = 0 for i.
13
Solve -55*w + 19*w - 225 = 495 for w.
-20
Solve 18615*t - 18582*t - 726 = 0 for t.
22
Solve 0 = -12*b + 2 - 38 for b.
-3
Solve 27*u + 24*u = 28*u - 276 for u.
-12
Solve 0 = 26801*d - 26734*d + 402 for d.
-6
Solve -45*i - 30*i = 72*i - 882 for i.
6
Solve -184*s + 56 = -99*s - 99*s for s.
-4
Solve 6076 = -11194*i + 10977*i for i.
-28
Solve 20*o - 19*o - 16*o + 90 = 0 for o.
6
Solve -112*f + 156*f - 600 = 84*f for f.
-15
Solve 7*m - 31*m = 33*m - 342 for m.
6
Solve -499*m = -295*m + 1020 for m.
-5
Solve -674 + 407 = -64*o + 629 for o.
14
Solve 499 + 2341 = -142*u for u.
-20
Solve -66 - 287 = -49*c - 59 for c.
6
Solve 29*x = 8*x - 0*x + 105 for x.
5
Solve 863*t - 1274*t = 0 for t.
0
Solve -853*p - 171*p + 5120 = 0 for p.
5
Solve 0 = -1158*q + 1201*q + 817 for q.
-19
Solve -x - 3*x = 1 - 17 for x.
4
Solve 61 = 5*n + 12*n - 194 for n.
15
Solve -142*a = -783 + 215 for a.
4
Solve -342 = -140*w - 678 - 1904 for w.
-16
Solve 157*x = 174*x + 136 for x.
-8
Solve 98 = -28*d + 602 for d.
18
Solve -64*m + 1063 - 6675 = 180*m for m.
-23
Solve 631*s = 426*s - 3895 for s.
-19
Solve 22*g + 712801 = 713197 for g.
18
Solve -195 = 22*f - 53 + 122 for f.
-12
Solve 0 = -719*q + 611*q + 1944 for q.
18
Solve 629 - 899 = -30*d + 510 for d.
26
Solve 0 = -404*u + 593*u - 3213 for u.
17
Solve 116*d - 4488 = 490*d for d.
-12
Solve 0 = -5*x + 33 - 1 - 67 for x.
-7
Solve -10*i = -28 - 35 + 13 for i.
5
Solve -89*p - 303 = 142 for p.
-5
Solve 136*c + c = -19*c + 3900 for c.
25
Solve -43*s - 3906 = -4164 for s.
6
Solve 18*w + 46*w - 832 = 0 for w.
13
Solve n + 15*n - 469 = -581 for n.
-7
Solve 97*h + 58 = 1109 + 16 for h.
11
Solve 43*x + 3661 + 839 = 168*x for x.
36
Solve -156*z - 5940 = 173*z - 32*z for z.
-20
Solve 1453*f - 274 - 994 - 185 = 0 for f.
1
Solve -167*a - 149*a - 7072 = 196 for a.
-23
Solve -47*m - 347*m - 5346 = 92*m for m.
-11
Solve -10653*z = -10638*z - 210 for z.
14
Solve 16*m - 16 - 91 = 37 for m.
9
Solve 4*j = -116 - 102 + 234 for j.
4
Solve 3047*u - 3202*u = -3875 for u.
25
Solve -76*y - 715 = 273 for y.
-13
Solve -102*w - 452 = -150*w - 68 for w.
8
Solve 521*t = -7738 + 3577 - 5217 for t.
-18
Solve 51*q = 112*q - 164 - 324 for q.
8
Solve -37 = -159*r + 4782 - 844 for r.
25
Solve 39269*z = 39251*z + 342 for z.
19
Solve 551*v = 7793 + 4329 for v.
22
Solve -308*a - 2845 + 8389 = 0 for a.
18
Solve -1140 = -36*d - 492 for d.
18
Solve -925 + 925 = 2*i for i.
0
Solve -230 - 54 = -44*j - 20 for j.
6
Solve -248*d = 9693 - 3493 for d.
-25
Solve -114 + 72 = -14*k for k.
3
Solve 6*k + 59 - 89 = -42 for k.
-2
Solve -1005*w + 4836 = -1408*w for w.
-12
Solve 83*t - 4308 = -5470 for t.
-14
Solve -109487 + 109465 = 11*p for p.
-2
Solve 496 - 988 = 41*j for j.
-12
Solve 97*q = 168*q - 568 for q.
8
Solve -180*h = -12*h + 51*h + 657 for h.
-3
Solve 368*m + 5655 = -439*m + 27444 for m.
27
Solve 330 = 224389*n - 224374*n for n.
22
Solve 0 = -54*a + 29*a - 86 - 114 for a.
-8
Solve 1129*f + 44 = 1151*f for f.
2
Solve 167*t - 71*t - 864 = 0 for t.
9
Solve -14926 = 228*h + 264*h - 4102 for h.
-22
Solve 0 = -11*m - 51 - 31 - 61 for m.
-13
Solve 50 + 20 = 5*s + 20 for s.
10
Solve -5427*z = -5462*z + 945 for z.
27
Solve 20 + 8 = -4*r - 4 for r.
-8
Solve 0 = 21*l - 35 - 49 fo | {
"pile_set_name": "DM Mathematics"
} |
) q (b) -1/5 (c) -2
b
Let r be (3/(-4))/(3/2). Let c = 1043/11 + -95. Let f = 20/21 - 2/7. What is the nearest to r in c, 2, f?
c
Let q(v) = 3*v - 11. Let w = -8 + 13. Let m be q(w). Which is the closest to 1? (a) -1 (b) 0.1 (c) m
b
Let o = -587/12236 + -3/644. Which is the closest to o? (a) 2/9 (b) 2/11 (c) 4
b
Let o be ((-2)/(-2) - -1)*33/(-297). Which is the closest to 0? (a) 0.1 (b) -2 (c) 3 (d) o
a
Suppose -8 = 24*u - 32*u. Let s = 12 + -8. Which is the closest to u? (a) 0.1 (b) s (c) 1
c
Let j = -0.29 + -2.71. Which is the closest to 0? (a) j (b) -6 (c) 1
c
Let h = -18 - -15. Which is the closest to 0.1? (a) h (b) 0 (c) 1/3
b
Let d = 346.93 - 334. Let p = 0.93 - d. Which is the closest to 0? (a) p (b) -5 (c) 0.5
c
Let u = -0.074 + 1.074. Let s(w) = w - 12. Let c be s(5). What is the closest to -0.1 in u, 0.5, c?
0.5
Let w(j) = j - 22. Let l be w(0). Let k = 17 + l. Suppose -2*o = 2*d + 4, -4*d + 2*o = 5*o + 10. Which is the closest to d? (a) 0.3 (b) k (c) 0
b
Let b = 0.529 + -0.029. What is the closest to -0.1 in -3/2, b, 0.2?
0.2
Let x = 13 - 8. Let d = 4 - x. Let r = d + 1. What is the closest to -1 in 4/3, r, -0.5?
-0.5
Let l = 4 - 10. Let y be (l/4)/(50/(-4)). Let g = 16/75 + y. Which is the nearest to -2/3? (a) g (b) -5 (c) -4
a
Let x = -0.02 - -2.02. Let h = 1.0325 + -0.0325. What is the nearest to h in x, 3, 4?
x
Suppose -u - u - 6 = 0. Let r(y) = y**2 + y - 91. Let k be r(-10). What is the nearest to 1 in k, u, -2/11?
-2/11
Let l be 1/(-5*(-4)/(-80)). What is the nearest to 0.1 in l, -1, 1/4?
1/4
Let p = 3 + -4. Let j = -130 - -59. Let g be (3 - 0)*(j/(-9) + -8). What is the closest to p in g, 1, -1/4?
g
Let k be 4/22 + 15*(-12)/(-220). What is the closest to k in -0.1, -1/81, -1?
-1/81
Let l = -0.13 - -3.13. Let x = l + -7. Which is the nearest to 1/2? (a) -0.3 (b) -1/2 (c) x
a
Let p = 0.3 - 0.4. Let d = -2.176 + 0.176. Which is the nearest to p? (a) d (b) 2/3 (c) 1
b
Suppose 1090*d = 1089*d - 2. Which is the closest to 3/7? (a) 0.1 (b) d (c) 1
a
Let t = -4/11 - -19/22. Let m = -57 + 57.3. Let o be 2/4*-6 + -2. Which is the nearest to t? (a) o (b) m (c) 0.5
c
Let g be (-9)/(-6)*1/(-3). Let o = -365 + 2185/6. Which is the closest to o? (a) -1 (b) -0.1 (c) g
a
Suppose 2*h = 2*k - 2*h, k = 3*h. Let j = -52 + 94. Let o = j - 45. What is the nearest to -1/2 in 0.5, k, o?
k
Let q = 427 - 423. Which is the nearest to 0.05? (a) q (b) -4 (c) -5
a
Let d = 0.7 - 0.75. Let r = d - -0.15. Let f = 694/21 + -236/7. Which is the nearest to f? (a) -5 (b) r (c) 0.3
b
Let d = 4.4 + -8.4. Let o(b) = b**3 + 5*b**2 + 4*b - 4. Let j be o(-4). Let k be j/(-8) - (-3)/(-4). What is the nearest to k in d, 6, -3/5?
-3/5
Let w be (2/3)/((-8)/(-6)). Let v be (13 + 8 + -21)/(-2 + -2). Which is the closest to -2/5? (a) -0.1 (b) v (c) w
a
Let n = -1.64 - -2.14. Let j = -2.4 + -1.6. Which is the nearest to -0.4? (a) -2/5 (b) n (c) j
a
Let t be (-14)/728 + ((-10)/(-4) - 2). Let i = 1/52 + t. Let g be -1*2 - (-60)/27. Which is the closest to i? (a) -1/5 (b) g (c) -0.1
b
Let x = -1.8 + 4. Let v = 2.9 - x. Let w = v + -1.7. Which is the closest to 1? (a) -1/4 (b) -7/5 (c) w
a
Let p = -1.1 - -1. Let l be 1 - 46 - (-13 - -14). Let z = l - -43. What is the nearest to p in z, 0.4, -0.4?
-0.4
Let m(x) = x - 7. Let p(h) = h**3 + h**2 - 27. Let s be p(0). Let v = s + 40. Let z be m(v). Which is the closest to z? (a) 5 (b) -1/6 (c) 0.1
a
Let i = -4/47 + 122/329. Which is the nearest to 1? (a) i (b) -2/3 (c) 0.04
a
Let o = 70 + -57. Which is the closest to o? (a) 1 (b) 5 (c) -3
b
Let u = 8.7 + -9. What is the nearest to -0.1 in u, 16, 0.04, 1?
0.04
Suppose -2*o + 6*o - 12 = 0. Suppose 4*j + 2*m = 2, o + 4 = -j + 2*m. Which is the closest to 1? (a) -4 (b) 2 (c) j
b
Let r(o) = -2 - 3*o + o + 3*o + 1. Let h be r(2). Which is the closest to -0.1? (a) 0.2 (b) h (c) -1
a
Let p = -23 - -28. Let k = 5.8 + -6. Let q = 0.3 + k. What is the closest to q in 1, p, 1/6?
1/6
Let z = 60.7 + -60.7. Let n = -105.99 - -109. Let k = -0.01 + n. Which is the nearest to z? (a) -5 (b) k (c) -1/2
c
Let i = -6.34 + 0.34. What is the nearest to -0.1 in 4, 1, i, -41?
1
Suppose z - 1 = -3. Let w(o) = o**3 + 6*o**2 - 7*o + 5. Suppose -4*g + 21 = -7*g. Let p be w(g). Which is the closest to p? (a) z (b) 2 (c) 4
c
Let f(t) = -t**2 - 20*t - 82. Let n be f(-14). Which is the nearest to -0.11? (a) -4 (b) -3/7 (c) n
b
Let d be (-7 - -30)/(1 + 0). Let v = d - 93/4. What is the nearest to v in -2, -2/9, 4?
-2/9
Let v be (13 - 5)*(-1)/(-18). Let k = 466 - 301. Let r = k - 1157/7. What is the nearest to -2 in -1, r, v?
-1
Let x = 261.9 + -259.9. Which is the nearest to x? (a) 2 (b) 3/2 (c) 282 (d) 0.4
a
Let f = 526 + -525. What is the nearest to f in -2, 0.46, 0?
0.46
Let y = -50 + 50.68. Let d = -0.32 - y. What is the nearest to d in -3, 0.3, 5?
0.3
Let s = -4.6 - -0.6. Let h = 0.845 - 0.845. What is the nearest to 3/2 in s, -1, h?
h
Suppose 0 = 13*x - 12 + 25. Suppose 2*w = -3*n + 19, 0*w = 3*n - 3*w - 24. Let i be 2 + ((-36)/n)/3. Which is the closest to x? (a) -3/4 (b) i (c) 5
a
Let z = -457.3 - -457. What is the closest to -1 in -1.3, 1/4, z, 4?
-1.3
Let b(h) = 5*h**2 - h - 2. Let s be b(1). What is the nearest to 3 in -5, -15, s?
s
Let m = 4 - 4.3. Let n = m - 0.2. Let z = -92.3 - -92.1. Which is the nearest to 1? (a) n (b) 4 (c) z
c
Let c = -549 + 544. What is the closest to 2/47 in 5, c, -1?
-1
Let p be 39/9 - 4/(-6). Let g(w) = -w**2 + 4*w + 6. Let i be g(p). Let c = 190 - 566/3. What is the nearest to i in c, -0.5, -2/11?
c
Let n(o) = -o**2 - 6*o - 10. Let q be n(-6). Let r be 2*2/q*10. Which is the nearest to -0.2? (a) r (b) 5 (c) 0
c
Let t be (-480)/(-525) + (-4)/(-14). Let m = 36.93 + 9.17. Let g = m - 46. What is the closest to 1 in -0.4, g, t?
t
Let u = 5.7 + 1.3. Let r = -9 + u. Which is the nearest to 0.4? (a) 1/6 (b) r (c) 0.3
c
Let j = 0.2 + 0.8. Let t = 4632 - 4602. Which is the nearest to -0.1? (a) t (b) -5 (c) j
c
Let b be 0*((-190)/20 - -9). Let r = -8 - -5. What is the closest to b in r, 1, -0.2?
-0.2
Let l = -2.5 + 2.56. Let f = l + 0. Let z = 5.4 - 5. Which is the nearest to -2/7? (a) f (b) z (c) 2
a
Let v = 77/26 - 6/13. Let z = 0.9 + -0.4. What is the closest to v in -1/4, 3, z?
3
Let m = -147.6 - -142.6. Which is the closest to 2/5? (a) 3 (b) m (c) 5 (d) 1/60
d
Let i = 6.4 + -6. Let q = 50 + -45. Let k be (90/3)/q + -4. Which is the closest to -0.1? (a) i (b) 0.5 (c) k
a
Let v = -40 + 5. Let y = v - -35. Which is the nearest to y? (a) 3 (b) -4 (c) -1
c
Let s = 181.3 + -173. Let x = s + -8. Let h = -95.1 - -95. Which is the nearest to 2? (a) 0.2 (b) h (c) x
c
Let v = 89 + -88.955. Let m = v - 0.445. What is the nearest to 0.21 in -3, m, -1/3?
-1/3
Let s = 0.1536 + -0.0736. Which is the nearest to 0.1? (a) s (b) -3 (c) -7 (d) 5
a
Let o be (9/(468/8))/(-1). Let h be 8/(-5) - (-36)/(-90). What is the closest to 1/3 in -4, o, h?
o
Let v = 0.894 + 3.106. What is the nearest to 0 in -0.08, v, -3?
-0.08
Let t = -0.72 - -0.8. Let w = 3.92 + t. Let n = 43.2 - 43. Which is the closest to 0? (a) n (b) w (c) 5
a
Let m = 0.0217 + 0.0783. Which is the nearest to 1? (a) -1/7 (b) -2 (c) m (d) 5
c
Let n = -0.372 - -0.572. Let z be (-8)/7*(-2)/4. What is the nearest to n in 1, z, 5?
z
Let r = -5767/5 + 1153. Which is the closest to -66? (a) r (b) 0.1 (c) 0.5
a
Let k = 241 - 1685/7. Let w = -51 - -205/4. Which is the closest to w? (a) -0.1 (b) 0.5 (c) k
c
Let d = -5 + 7. Let g = 36.2 + -36.4. What is the closest to d in g, -3, 2/7?
2/7
Suppose -4*z - 35 = -19. Which is the closest to 1? (a) z (b) -0.1 (c) -1/2
b
Let v = 0.251 - -0.049. Which is the closest to 0.1? (a) -57 (b) 1/6 (c) v
b
Let s = 2.653 + -0.653. Which is the nearest to -0.2? (a) s (b) 1 (c) 0.5
c
Let m = 15 - -12. Let l = -26 + m. Let w be 16/(-12) - l/3. Which is the nearest to -0.13? (a) -1 (b) w (c) -0.5
c
Let p = 141.9 - 142. What is the closest to 2 in p, -3, 1/10?
1/10
Let k = 0.13 + -0.61. Let t = k - -3.48. What is the closest to t in -3, 5, -0.5?
5
Let i = -10.43 + 12.43. What is the closest to 0.3 in 1/2, -0.1, i, 9?
1/2
Let t(h) = 4*h - 50. Let z be t(13). Which is the closes | {
"pile_set_name": "DM Mathematics"
} |
, 3 in decreasing order.
3, 2, -2, -4
Put -2, -8, 0, -1 in increasing order.
-8, -2, -1, 0
Sort -0.5, 4, 331.
-0.5, 4, 331
Sort 3, -1, 51, -5 in ascending order.
-5, -1, 3, 51
Put 4, -10, 83 in decreasing order.
83, 4, -10
Put -4/17, 4, 0.5 in descending order.
4, 0.5, -4/17
Put -6, -129, -4, 2 in decreasing order.
2, -4, -6, -129
Put -1, -2/11, -17 in descending order.
-2/11, -1, -17
Sort -0.5, 5, -2, 280 in decreasing order.
280, 5, -0.5, -2
Sort 8, -22, 7, 1, -4 in decreasing order.
8, 7, 1, -4, -22
Sort -4, 11, -1, -5, 0.
-5, -4, -1, 0, 11
Sort 0, 3, 83, -5.
-5, 0, 3, 83
Put -3, -4, 3 in decreasing order.
3, -3, -4
Put -2, 4, -1314, 5, -3 in decreasing order.
5, 4, -2, -3, -1314
Put 1/324, -3, -0.1 in descending order.
1/324, -0.1, -3
Sort -4, -0.2, 183 in descending order.
183, -0.2, -4
Put -1/10, -3, -2, 1 in ascending order.
-3, -2, -1/10, 1
Sort 4, -253, 1 in descending order.
4, 1, -253
Sort 5, 17, 2/5, 3, -0.3 in decreasing order.
17, 5, 3, 2/5, -0.3
Put 0, 0.2, 0.47 in increasing order.
0, 0.2, 0.47
Put -1, -4, 1186, -6 in descending order.
1186, -1, -4, -6
Sort -10, -32, -5 in decreasing order.
-5, -10, -32
Put 7/4, 69, 5 in decreasing order.
69, 5, 7/4
Put 8, 0.3, -2, 2, -1 in decreasing order.
8, 2, 0.3, -1, -2
Sort 2, 1, 5, 3 in descending order.
5, 3, 2, 1
Put -2, 5, 0, 3 in increasing order.
-2, 0, 3, 5
Put -47, 69, 0 in ascending order.
-47, 0, 69
Put 2, -8, -6, 5, -4 in descending order.
5, 2, -4, -6, -8
Sort -2, 5, 1, 48 in decreasing order.
48, 5, 1, -2
Sort -20, 4, 0 in ascending order.
-20, 0, 4
Put -4, -3/8, -2, 2/3, 0.07 in decreasing order.
2/3, 0.07, -3/8, -2, -4
Sort -5, 2, 683 in decreasing order.
683, 2, -5
Put 3, -1/3, 52.9, 4, -4/5 in ascending order.
-4/5, -1/3, 3, 4, 52.9
Sort 3, -5, 1162, -1, 1 in increasing order.
-5, -1, 1, 3, 1162
Put 3, 2, -2, 26 in decreasing order.
26, 3, 2, -2
Sort 0.5, 0.3, -0.95 in decreasing order.
0.5, 0.3, -0.95
Sort -7, 5, -4, -1 in decreasing order.
5, -1, -4, -7
Sort 0, 5, 105 in descending order.
105, 5, 0
Sort 1, -73, 5.
-73, 1, 5
Sort 4, 42, -10, -2.
-10, -2, 4, 42
Sort -2, -1, 27, -14 in descending order.
27, -1, -2, -14
Sort -1/182, -1, 4 in descending order.
4, -1/182, -1
Put 8, -1/3, 1, -2 in decreasing order.
8, 1, -1/3, -2
Put -7, -2, -4, 24, -5 in descending order.
24, -2, -4, -5, -7
Put -0.3, -2/5, 0.04 in ascending order.
-2/5, -0.3, 0.04
Sort 3/2, -2, -0.28 in descending order.
3/2, -0.28, -2
Put 3, -4, 4, -5 in decreasing order.
4, 3, -4, -5
Sort 19, 3, 2/49 in increasing order.
2/49, 3, 19
Put -5, -3/2, 4, 10.3 in increasing order.
-5, -3/2, 4, 10.3
Sort -116, -4, -3 in ascending order.
-116, -4, -3
Put -0.4, -0.04, -5, 2, 12 in ascending order.
-5, -0.4, -0.04, 2, 12
Sort 3, -3, -4, 0, 5 in ascending order.
-4, -3, 0, 3, 5
Sort -5, -2, 7, 17, 0 in increasing order.
-5, -2, 0, 7, 17
Put -0.5, 0.03, 0.07, -0.09, -5 in descending order.
0.07, 0.03, -0.09, -0.5, -5
Sort 0, -5, -3, 5 in descending order.
5, 0, -3, -5
Sort -28, -2, -1, 1, -1.2.
-28, -2, -1.2, -1, 1
Put 70, -2, -4, 14 in ascending order.
-4, -2, 14, 70
Sort -0.5, -0.3, 7/3, -0.05 in increasing order.
-0.5, -0.3, -0.05, 7/3
Put -0.3, 0, 2/7, -4 in descending order.
2/7, 0, -0.3, -4
Put -0.3, 3, -2/9, 2/513 in increasing order.
-0.3, -2/9, 2/513, 3
Sort 5, -101, -2/5, -2.
-101, -2, -2/5, 5
Put -6, 2, -2 in decreasing order.
2, -2, -6
Put 3, -1/6, 6 in descending order.
6, 3, -1/6
Put -0.5, 1/5, -2.66, -0.4 in descending order.
1/5, -0.4, -0.5, -2.66
Put -2/21, -5, -0.07, -7/11 in decreasing order.
-0.07, -2/21, -7/11, -5
Put -3, -0.05, 0 in increasing order.
-3, -0.05, 0
Put 4, 1, 1/9, -183.9 in increasing order.
-183.9, 1/9, 1, 4
Put 0, -0.5, -3/1817 in descending order.
0, -3/1817, -0.5
Put 1, -2/9, -3 in descending order.
1, -2/9, -3
Sort -2/17, -5, -2/187, -2/9 in ascending order.
-5, -2/9, -2/17, -2/187
Sort -8, 0.4, -43 in increasing order.
-43, -8, 0.4
Sort 4, 99, -14, -1 in decreasing order.
99, 4, -1, -14
Sort -2, 0, 3, 11 in increasing order.
-2, 0, 3, 11
Put -5, 1, -179 in increasing order.
-179, -5, 1
Put -2, -6, 1, -4, -5 in ascending order.
-6, -5, -4, -2, 1
Sort 0.1, 2/11, -24, -3, 2 in increasing order.
-24, -3, 0.1, 2/11, 2
Sort 2, 5, -12, -4.
-12, -4, 2, 5
Sort -85, -1, 2 in ascending order.
-85, -1, 2
Sort 1/4, -33, 3, 2/19 in decreasing order.
3, 1/4, 2/19, -33
Sort 4, 2, 5, -5 in ascending order.
-5, 2, 4, 5
Sort 0.5, 1, 138/49 in ascending order.
0.5, 1, 138/49
Sort -4, 2, 193, -2, 1 in descending order.
193, 2, 1, -2, -4
Sort 25, -1, -1211.
-1211, -1, 25
Put 2, 21, 17 in descending order.
21, 17, 2
Sort 2, 1/30, 3, 0, 1/6.
0, 1/30, 1/6, 2, 3
Put -9, -2/3, -0.4 in decreasing order.
-0.4, -2/3, -9
Put -2670, 4, -7, -0.2 in increasing order.
-2670, -7, -0.2, 4
Sort 21, -11, -2, 2, -5 in decreasing order.
21, 2, -2, -5, -11
Sort -2, 4, -17, 0, -4.
-17, -4, -2, 0, 4
Sort -371, -23, -4 in decreasing order.
-4, -23, -371
Sort -2, -4, 0.242, 0.3 in increasing order.
-4, -2, 0.242, 0.3
Put 0.1, 0, -2, 9 in increasing order.
-2, 0, 0.1, 9
Sort 1/7, -0.9, -2, 1/3, 3 in increasing order.
-2, -0.9, 1/7, 1/3, 3
Sort -2/7, 4, 5/2 in descending order.
4, 5/2, -2/7
Sort -10, 1/6, -9/23, 5 in descending order.
5, 1/6, -9/23, -10
Put -13, 2, 3, -4, 34 in decreasing order.
34, 3, 2, -4, -13
Sort -1, -3, 175 in ascending order.
-3, -1, 175
Put -2, 3, -19 in decreasing order.
3, -2, -19
Put 1/6, 0.4, -1/3, -55 in descending order.
0.4, 1/6, -1/3, -55
Put -4, -110, -5, 2, 0 in ascending order.
-110, -5, -4, 0, 2
Sort 1/4, -91, -5 in decreasing order.
1/4, -5, -91
Put -0.03, -1/3, 5, -1 in increasing order.
-1, -1/3, -0.03, 5
Put 4, 44, 3 in ascending order.
3, 4, 44
Put 519, 1, 2, -5 in ascending order.
-5, 1, 2, 519
Sort 4, 6, 3, 0 in decreasing order.
6, 4, 3, 0
Put 5, -70, -37, 0 in decreasing order.
5, 0, -37, -70
Put 1, 31, -5, -3 in decreasing order.
31, 1, -3, -5
Sort -2.84, 3, 1/4, 0.4.
-2.84, 1/4, 0.4, 3
Sort -1/3, 1/11, -3 in increasing order.
-3, -1/3, 1/11
Sort -17, 14, 3.
-17, 3, 14
Sort -3, 0, -51, 3.
-51, -3, 0, 3
Put -3, 9/49, -1.6 in ascending order.
-3, -1.6, 9/49
Sort -3, -23, -3/4 in descending order.
-3/4, -3, -23
Sort -0.34, 5, -5, 0.4 in ascending order.
-5, -0.34, 0.4, 5
Put 4, -121, 0.2, 5, -0.4 in descending order.
5, 4, 0.2, -0.4, -121
Sort -4, -1, 2, -5.
-5, -4, -1, 2
Put 1/6, -4, 17, -7, 4 in descending order.
17, 4, 1/6, -4, -7
Sort 55, -15, -0.1 in decreasing order.
55, -0.1, -15
Put 0.3, -2/11, -50 in decreasing order.
0.3, -2/11, -50
Sort 1, -0.5, 83 in descending order.
83, 1, -0.5
Sort -1, 6, -139, 5 in increasing order.
-139, -1, 5, 6
Put -3, 11, 26, 0 in decreasing order.
26, 11, 0, -3
Put 3, -4, -5, -8 in decreasing order.
3, -4, -5, -8
Sort 0, 5, -145.
-145, 0, 5
Sort -0.3, -14.1, -2, -0.4 in ascending order.
-14.1, -2, -0.4, -0.3
Put 3, -5, 4 in increasing order.
-5, 3, 4
Sort -5, -12, -54, -2, 5 in ascending order.
-54, -12, -5, -2, 5
Sort 153, 0.3, 7, 4 in decreasing order.
153, 7, 4, 0.3
Put -1, 1, 280 in descending order.
280, 1, -1
Put 2, 1, -0.064, -2/3, 1/13 in ascending order.
-2/3, -0.064, 1/13, 1, 2
Sort 5, -5, 16, 0.3 in descending order.
16, 5, 0.3, -5
Put -1, -8, 0.4, -21 in decreasing order.
0.4, -1, -8, -21
Put 6, 3, 8, 5 in decreasing order.
8, 6, 5, 3
Sort 1.1, -0.2, 0.077, 1/4, -1.
-1, -0.2, 0.077, 1/4, 1.1
Sort 4, -44, 3/2, 0.2 in decreasing order.
4, 3/2, 0.2, -44
Put -6/7, -1, 123 in descending order.
123, -6/7, -1
Put -2/5, -4, 55/6 in increasing order.
-4, -2/5, 55/6
Sort 4, 2, -5, 1, -1.
-5, -1, 1, 2, 4
Sort 1, 2, -3, -5.
-5, -3, 1, 2
Put 5, -1, 89, 2/9, 2 in decreasing order.
89, 5, 2, 2/9, -1
Sort -8, 7, 1, 0, 2.
-8, 0, 1, 2, 7
Sort 0.01, 2, 5, 133 in increasing order.
0.01, 2, 5, 133
Sort -281, -1/40, 2/3 in descending order.
2/3, -1/40, -281
Put -4, -2, -1/2, 1, 65 in decreasing order.
65, 1, -1/2, -2, -4
Put 5, -2, 1, -15 in descending order.
5, 1, -2, -15
Put -3, 9, 21, -5 in ascending order.
-5, -3, 9, 21
Put 0.5, 0, -1/3, 155, 2 in descending order.
155, 2, 0.5, 0, -1/3
Put -3, 16, 3 in decreasing order.
16, 3, -3
Sort -5, -3, -61, 13, 1.
-61, -5, -3, 1, 13
Sort 1, -1119, -4 in decreasing order.
1, -4, -1119
Sort 46, -0.1, 4, 0.5 in ascending order.
-0.1, 0.5, 4, 46
Put 4, 2, 0, -4, -5 in descending order.
4, 2, 0, -4, -5
Sort 5 | {
"pile_set_name": "DM Mathematics"
} |
t y be n(-62). Solve -3*x = -2*g - g - 3, -y*g - 29 = x for x.
-4
Let h(w) = -2*w**2 - 100*w - 365. Let c be h(-4). Solve c*o = 2*u - 13, -24*o - 6 = -u - 23*o for u.
5
Let x(r) = r**2 + 3*r - 2. Let h(k) = -k - 2. Let s = 27 + -25. Let n be h(s). Let w be x(n). Solve -w*a - 4*v - 17 = 5, a - 2*v = 5 for a.
-3
Let o be 3/(5 - (-852)/(-176))*(-9 + 16). Solve 131*t - 2*f + 15 = o*t, -40 = -3*t - 5*f for t.
5
Let g(i) = -3*i - 17. Let b be g(-7). Suppose 0 = -0*u - u + 1, -n + b = -2*u. Suppose n*v - 2*v = 0. Solve 5*j + 3*p = -v*p + 27, -2*j + p + 2 = 0 for j.
3
Let d(q) = q**3 + 18*q**2 - 237*q - 4314. Let z be d(-17). Solve 8*k - 5*s - 4 = z*k, 0 = 2*k + 4*s + 24 for k.
-4
Suppose -3*f - f + 2 = -i, -3*f + 6 = -3*i. Suppose 3*g + 12 = 0, -155*o + 2*g = -154*o - 10. Solve f = -q + 3, -o*x - 5*q + 21 = -0 for x.
3
Suppose -25*r + 33*r = 32. Suppose 24 = 5*w - y, 4*y + 20 = r. Solve 7 = -w*d - 0*d - 5*t, 5*d + 4*t = -2 for d.
2
Suppose 4*n = -10*n + 112. Suppose 0 = -17*k - n + 59. Solve -v + 4*x = -0*v, 0 = -v + x + k for v.
4
Suppose -207 + 216 = 3*a. Let f be 2/((1 - a)/(-1)) - -3. Solve -b + 4*g - 11 = 2*g, g = f for b.
-3
Suppose 135*n + 0 = 152*n - 0. Solve 5*k + 4*v + 20 = n, 3*k - 6*k + 5*v - 12 = 0 for k.
-4
Suppose 5*x + 2 = 12. Suppose 3*r = 5*a + 13, 4*r = r + x*a + 16. Solve -2*w - 2*f + 18 = -r*w, -4*w - 5*f = -17 for w.
-2
Let t = -23 + 14. Let a be (t/6)/(3/(-8)). Suppose 22 = 5*g - 3*s, -4*g + 20 = -2*g - a*s. Solve -5*h = g*d - 0*d + 7, -5*h + 2*d - 3 = 0 for h.
-1
Let q(g) = -g**3 - 5*g**2 - 373*g - 1863. Let w be q(-5). Solve -w*v = 5*u + 19, 3*v = 8*v - u - 20 for v.
3
Let z(l) = -17*l - 1580. Let o be z(-93). Solve 2*i = -3*w - o, 19 = -5*i - w - w for i.
-5
Let z be 1 - 7/(28/296). Let m = z + 74. Suppose 4*a - m = 4*i + i, 4 = a. Solve -10 = 5*v, i*v + 2 = 5*r - 14 for r.
2
Let i be (15/(-12))/(4/(-16)). Let j be -5 + 1696/18 - (-6)/(-27). Let n = 93 - j. Solve 20 = -i*u - a, n*u + 45 = -u + 4*a for u.
-5
Let o = 10782 - 10777. Solve -21*c + 22*c + 5 = o*z, 2*z = 4 for c.
5
Suppose -12*z + 17*z = 15. Let l(m) = 17*m - 23. Let k be l(z). Solve -2*v - 8 = -0*v - 2*s, 5*v + 3*s + k = 0 for v.
-5
Suppose -3*d = -3*y - 21, 36 - 31 = 2*d + y. Let r be 1 + 10/2 + -1. Solve 5*o + f + r = 0, d*o + 2*f + 4 = -2*f for o.
-1
Suppose 5*r - 81 = 14. Suppose -22 = -r*o + 18*o. Let q = 28 - o. Solve q*g - 5*m = 3*g, -5*m = 2*g for g.
0
Let r(f) = -f**2 - 28*f - 127. Let a be r(-22). Solve -2*m - 5*o - 33 = 0, -2 = -a*m + 5*o + 3 for m.
-4
Let o(k) = -k + 5. Suppose -4*z - 2*h = z + 52, h - 29 = 3*z. Let c be 8/z - 8/(-10). Let d be o(c). Solve d*l + 2 = x + 8, -14 = l - 4*x for l.
2
Suppose 5*w = 25, -5*t = -0*w + 3*w - 20. Let z = 4 - -23. Suppose -51 = -z*p + 10*p. Solve 4*d - 8 = -4*v, p*v - 1 = -5*d + t for v.
4
Let f be 25 - 18 - 17/((-34)/252). Solve 15 = 3*x + a, -5 = -x - f*a + 129*a for x.
5
Suppose 300 = -14*x - 1380. Let q be (-10)/(15/(x/16)). Solve 0 = -4*h + q*d - 2*d + 14, -3*d = 2*h + 2 for h.
2
Let i be 6*(-2)/(-8) + (-377)/(-58). Suppose -3*h - 2 = -k, -4*k - 3*h = h - i. Suppose -2*f = -f - 18. Solve -2*x + 2 = -2*p + f, k*x + 2*p = 0 for x.
-4
Suppose -7*f + 2*f = -3*f. Let k = -27 - -52. Solve 2*d + d + 4*z + 6 = f, k = 5*d - 5*z for d.
2
Let u(m) = 2*m**2 - 10*m + 6. Let w be u(6). Suppose 11*y - 73 = -w. Solve -y*d + x = -26, 0*x = d - 3*x - 8 for d.
5
Let j(i) = 21*i + 163. Let z be j(-7). Let q be 48/20*40/z. Solve -q - 1 = 5*d + 4*h, 0 = -5*d - 5*h - 10 for d.
1
Let j(a) = -a**3 + 102*a**2 - 672*a + 687. Let t be j(95). Solve -225*l = 5*y - 224*l - 25, -3*y - 2*l = -t for y.
4
Let c = -288 - 435. Let o = 743 + c. Solve -o = -4*h - 0*q + q, 3*q + 12 = 0 for h.
4
Let x be ((-903)/84)/(2/(-24)). Let k = 134 - x. Solve -w + 5 = -b - 0*w, -k*b + 3*w = 23 for b.
-4
Suppose 4*o + 3*g = 7, -o - 27*g - 5 = -24*g. Solve 0 = 4*r + 4, -o*r - 1 = -3*j + 15 for j.
4
Suppose 9*j - 12 = 6. Suppose 3*s + 0*w + 3*w = 9, j*s + w - 10 = 0. Let c(a) = -a**2 + 8*a + 8. Let b be c(8). Solve -t + 0*t = -o + s, -5*t - b = 4*o for t.
-4
Let o(f) = -8*f + 218. Let c be o(24). Solve 2*l = -5*v + 25, v + 21 = -5*l + c for l.
0
Let q be (-143)/2 - (-6)/4. Let z = q - -70. Suppose m + 0*m + 5 = z, -m = 2*f - 3. Solve r = -2*n, 14 = 3*r + n + f for r.
4
Let b(y) = 59*y - 57. Let i be b(1). Suppose 2*r = -p, 0 = 5*p + i*r - 8 - 0. Solve -12 = -4*q + 5*m, 0*q - 5*m = -p*q + 16 for q.
-2
Let m(w) = -w + 6. Suppose 4*o + 5*d - 9 = 0, -o = d - 0*d - 1. Let h be m(o). Solve r = -3*z - 2 - 8, -h = 5*r + 5*z for r.
2
Let t(q) = q**3 + 5*q**2 - q. Let j(c) = 3*c**2 + 68*c + 41. Let y be j(-22). Let r be t(y). Solve u = 5*u - g + 24, -r = u - 4*g for u.
-5
Suppose -29*f - 15812 + 15957 = 0. Solve -m = -k - 0*k + f, 0 = 4*m + 4*k - 4 for m.
-2
Let l(p) = -p**3 - 24*p**2 - 142*p - 14. Let j be l(-10). Solve 0 = -3*c + 91*w - 88*w - j, 4*c + 4*w = 24 for c.
2
Let t(s) = -s**2 - 18*s - 18. Let x be t(-16). Suppose -2*v = 4*b, 0 = 3*b - v - v + x. Let q be 12/b*(-4)/8. Solve 59 - 19 = -5*d + q*h, -15 = -3*h for d.
-5
Let c = 7 + -5. Suppose c + 1 = u. Suppose -176*o = -184*o + 16. Solve -o*d + u*h = 11, -35 = -5*d - 2*h - 15 for d.
2
Let g(x) = -13*x**3 - 24*x - 25. Let t be g(-1). Solve 2*h + 3*w + t = 0, 4*w + 59 = 43 for h.
0
Let z(m) = m**2 - 37*m + 178. Let v be z(5). Solve 5*a - 17 = -2*j, -4*a + v = 4*j + 2 for a.
3
Suppose 24*n - 9*n = 30. Suppose -32 + 1 = -3*q - 5*i, 0 = 5*q - n*i. Suppose -2 = -2*b + 2. Solve x - q = -b*y, 2*y = -2*x - 3*x - 14 for x.
-4
Suppose 29 = m - 4*g, 3*g = 2*m - 57 + 29. Solve o - 10*s - 4 = -9*s, m*o = 4*s + 19 for o.
3
Let w(u) = -2*u**3 + 18*u**2 - 37*u + 172. Let s be w(8). Solve 18*x = 17*x + 4*h - 12, -s*x = -4*h + 12 for x.
0
Suppose 159*y - 147*y - 60 = 0. Let r be 5/y*(0 - -4). Solve -11 = -r*u + c, 23 = 2*u + 2*u - 5*c for u.
2
Let m be 3/2*(-15 + (-210)/(-10)). Solve 5*s + 3*d + 16 = 0, 0 = 3*d - 0*d - m for s.
-5
Suppose -3*i + 9 = -36. Suppose v + 3*x + 3 = -v, 3*v + i = -x. Let j be (-1)/4*(-2 - v) - -8. Solve 4*z - j = -y, -5 = -3*z + 5*y + 6 for z.
2
Suppose -28 = -4*j + 4*p, -5*j + 3*p = -p - 30. Let o be (-1)/j*2*75/(-15). Solve 4*s = -o*t + 3, 3*t - s - 2*s = 18 for t.
3
Let l(x) = -x**3 - 56*x**2 - 67*x - 659. Let j be l(-55). Solve 5*v + 3*a - j + 2 = 0, 8 = -v + 2*a for v.
-2
Suppose 0 = 40*i - 413 + 253. Solve -2*h = i*l + 2, -2*h + 6*h = l - 4 for l.
0
Suppose -4*y - 2*w + 48 = -w, 4*w = 3*y - 36. Suppose -13*i = -y*i - 84. Suppose -25 = -5*g, 4*g - i + 19 = -5*r. Solve 2*u - r = 2*h - u, -u + 3 = 5*h for h.
0
Suppose 5*z = 3*p + 204, -z + 81 - 449 = 5*p. Let h = p + 73. Suppose h*t + 3 = t, 5*t = 2*o + 7. Solve -5*x - 12 = 4*f - x, -4*x - o = 0 for f.
-2
Suppose 0 = -10*g + 95 - 15. Suppose g = -3*p + 5*p + 4*r, -4*p + 5*r = -3. Solve i = -4*w - 0*w, 5*i - 18 = -p*w for i.
4
Let z(i) = 13*i**2 - i. Let c be z(-1). Suppose c*k - 2 - 12 = 0. Suppose 3*m - 7 = -5*x, 0*x + k = 3*x + 5*m. Solve 4*f - 4*j = 4, -f + x*j + 2*j = -13 for f.
-3
Suppose 192*x - 7040 = -160*x. Solve -3*w - 23 + 30 = -4*k, 0 = -5*k - x for w.
-3
Suppose -54 = -3*v - 2*v - 3*n, 15 = 3*v - 4*n. Let j be ((-30)/(-10) + v/(-2))*-16. Suppose -17*c - j = -20*c. Solve 2*z = -4*u - z, 0 = -2*z - c for u.
3
Let q = -129 - -130. Let g(x) = 6*x**2 - x - 2. Let y be g(q). Solve y*v - 23 = -0*i + 4*i, 3*v - 8 = i for v.
1
Let n be 0/(-3 + 0 + 2 + 2). Suppose n = 39*m - 11*m - 84. Let h = -2 - -2. Solve -3*k = 3, -5*s + h*k + 2 = m*k for s.
1
Suppose 0 = -8*x + 76 + 4. Let h be -4 + x + -3 + -1. Solve h*l = v - 2*l - 7, 4*l = -12 for v.
-5
Let s(y) = -62*y - 308. Let a be s(-5). Solve 0 = a*j + p + 10, 5*p - 10 = j - 16 for j.
-4
Let p be (-1 + 9 - -2) + -4. Suppose -3 = -3*x + p. Suppose -x*d = -4*o - 2*d + 45, -3*d + 35 = 5*o. Solve -4*m - 4*w + 2 = o, 2*w = -4*m + 2 for m.
3
Let t = 381 - 377. Solve -3*i + 5*n = -t, -3*n + 31 = 5*i + 13 for i.
3
Let u be ((-6)/28 + (-20)/70)*0. Suppose -7*l - 2*d = -12*l + 50, u = -4*l + 3*d + 47. Solve -w - l = 3*j - 23, 2*w + 5*j - 26 = 0 for w.
3
Let x be (-4)/(-14) + (-1558)/14. Let t = -108 - x. Solve c - g = -1, t*c - 12 = -c - 4*g for c.
1
Let c = 3997 - 3981. Solve -5*i - c = 4*w, -8*w + 2*i = -4*w + 16 for w.
-4
Let b(j) = 3*j + 65. Let q be b(-20). Suppose g + 5*t - 19 = -2, 4 = q*g - 2*t. | {
"pile_set_name": "DM Mathematics"
} |
)*(-6*k + k + k)*(1 - 4 + 1).
-40*k**3
Expand (5 - 4 - 3)*(0*o + 0*o - o - 2*o - 4*o + 4*o + 3*o - 2*o + 0*o + (4*o - o - 2*o)*(0 - 2 + 0) + 0*o + 4*o - 5*o - 2*o - 1 + 1).
14*o
Expand d**3 + 2*d**3 + 0*d**3 + (-2*d**2 + 1 - 1)*(-5*d + 2*d + 2*d).
5*d**3
Expand (y**2 + 2 - 2)*(-2*y**2 - 2*y**2 - 2*y**2).
-6*y**4
Expand (5 + 12*m - 4 - 4*m)*(-4*m + 2*m + 3*m)*(0 - 2 + 4).
16*m**2 + 2*m
Expand 3*y**4 - y - 13*y - 2*y**4 + (2*y**2 + 2*y**2 - 2*y**2)*(-y**2 - 4*y**2 + 3*y**2) + 0*y + 2*y**4 + 0*y.
-y**4 - 14*y
Expand (-13 - 7 + 1)*(2*k**5 - 6*k**5 + 2*k**5).
38*k**5
Expand -4 + 4 + 6*c**2 + 3*c**2 - 6*c**2 + c**2 + (0 - 1 - 1)*(-c**2 - 2*c**2 + c**2) + (-2 + 2 + 2)*(-5*c + 5*c + c**2).
10*c**2
Expand (2*d - 13*d**3 + 11*d**3 + d**3)*(2*d + 2 - 2)*(2*d - 2*d - 2*d).
4*d**5 - 8*d**3
Expand (-5*b - 2*b + 6*b)*(2*b**4 + 0*b**4 + 3*b**4) + 0*b**5 - b**5 + 0*b**5.
-6*b**5
Expand (-2*h**2 - h**3 + 2*h**2)*(-2*h + 11*h + h) + (h**2 + h - h)*(2*h**2 - h**2 + 3*h**2).
-6*h**4
Expand 9*o - 67 + 67 + (1 - 1 - 1 + (5 - 3 - 1)*(-2 + 2 - 2) + 4 - 4 - 2)*(-2*o - 3*o + 6*o).
4*o
Expand (-2*v**2 + 3 + 1 - 3)*(2 + 37*v - 5*v - 3).
-64*v**3 + 2*v**2 + 32*v - 1
Expand (-73*o + 3*o**3 + 73*o)*(-2*o**2 + 3*o - 3*o).
-6*o**5
Expand -c**2 - 2*c**2 + 1 + 2*c + 13*c**2 + (-4 + 2*c + 4)*(1 + 2*c - 1).
14*c**2 + 2*c + 1
Expand (c**2 - 5*c**2 + 3*c**2)*(1 - 1 - c) - 18*c**3 - 137*c + 137*c.
-17*c**3
Expand (-2*k**2 + 4*k**2 + k**2)*(-3 - 1 + 2)*(k - 3*k + 5*k).
-18*k**3
Expand (1 + 2 + 2*n**3 - 1)*(-5*n**2 - 4*n**2 + 2*n**2)*(0 - 4 + 2).
28*n**5 + 28*n**2
Expand (4*c**4 - 3*c**4 - 3*c**4 + (-5*c**2 + c**2 + 2*c**2)*(-5*c**2 - c**2 + 4*c**2))*(3*c - 3 + 3).
6*c**5
Expand (-5 + 3 + 4)*(-2 + 0 - 1)*(-a**2 - 2*a**2 - a**2).
24*a**2
Expand (-3*a**2 + 0*a**2 + a**2)*(0*a - a**2 + 0*a) + 2*a**4 + a**3 - a**3 + (0*a + 0*a - 2*a**2)*(0 - a**2 + 0).
6*a**4
Expand 3*m + 2*m**2 - 3*m + (-4*m + 0*m + 3*m)*(0 - m + 0) + (-3 + 1 - 1 - m)*(m - 6*m + 2*m).
6*m**2 + 9*m
Expand 5*x + 0 + 0 - 1 + 1 + 2*x + (-2 + 2 - 1)*(-3*x - 2*x + 4*x) + 0*x + x + x.
10*x
Expand (5*h**2 + 0*h**2 - 6*h**2)*(6*h**2 - 6*h**2 + h**3) + (-2*h**3 - 2*h**2 + 2*h**2)*(0 + 0 + 2*h**2).
-5*h**5
Expand (-3 + 1 + 1 + 1 - 4 + 1 + (0 - 1 + 0)*(0 + 1 + 1) + 2 + 0 - 3 - 2 + 2 - 2 + 1 - 5 + 2 - 6 + 0 + 3 + 1 - 1 - 2)*(-2*a**3 + 2*a**3 + a**5).
-15*a**5
Expand -2 + 2 + 5*y + (3*y + y - 2*y)*(0 + 4 - 2)*(-3 + 1 + 1).
y
Expand -2*f**2 - f**2 + 6*f**2 + (-f - 5*f + 4*f)*(3 - 3 + 2*f) + (-7*f + 7*f + 7*f**2)*(-5 + 1 + 2).
-15*f**2
Expand 5*d + 4 - 3*d - d + ((-1 + 3 - 1)*(-1 + 6 - 3) - 1 - 1 - 1)*(-1 + 3*d + 1).
-2*d + 4
Expand (-4*o**2 + 3*o**2 - 3*o**2)*(0*o - 6*o + 4*o)*(2*o + o - o).
16*o**4
Expand (-4*w**2 + 6*w**2 + 9*w**2)*(3 - 2 + 2)*(-2 + 4 - 1).
33*w**2
Expand (0 - 3 + 5)*(-2 - 2 + 5)*(-p + 0*p + 0*p + p - 2 + 2 + (-2*p + 0 + 0)*(-1 + 0 - 1) + 3*p + p - 3*p).
10*p
Expand (3 - 1 - 3)*(0*u**3 + u**5 + 0*u**3) - u**5 - 7*u**3 - 4*u**3 + 8*u**3.
-2*u**5 - 3*u**3
Expand 3*u**4 + 2*u**4 - 6*u**4 + (u**2 + 3*u**2 - u - 6*u**2)*(-5*u**2 + 2*u**2 + 2*u**2).
u**4 + u**3
Expand (-f**2 - 3 - 3*f**2 + 5)*(2*f + 0 + 0).
-8*f**3 + 4*f
Expand (-1 + 3 - 12)*(-2*p - 1 + 1) - 3*p - 2*p + 7*p.
22*p
Expand (-3 + 1 + 4)*(14 + 11 - 8)*(z - z - 2*z**4).
-68*z**4
Expand (-2*k + 3 - 3)*(-8 + 2 - 1)*(1 + 4 - 3).
28*k
Expand (-4*q**5 + 2*q**4 - 2*q**4)*(-3 - 7 + 1).
36*q**5
Expand (35 - 35 + 6*u)*(-3 + 4 - 2).
-6*u
Expand 3*q**2 - 3*q**2 - 2*q**2 + 0*q**2 - q**2 + 4*q**2 + (-2*q**2 + 4*q**2 + 0*q**2)*(2 - 2 + 1) + 0*q**2 + 0*q**2 - 2*q**2.
q**2
Expand 6 - 6 + l + (-2 + 3 + 0)*(-l + 4*l - l).
3*l
Expand (1 - 1 - 3*p + (-3*p + 4*p - 3*p)*(-2 + 2 - 2) - 3 + 3 + p)*(3*p + 3*p - 4*p)*(-3*p - p + 6*p).
8*p**3
Expand (-4 + 1 + 8)*(-2*y + 4*y - 4*y) + 0*y + 0*y - 2*y + (-3 + 1 + 1)*(5 + 2*y - 5) + 2*y + 0*y + 0*y.
-12*y
Expand (-6 + 8 - 4)*(-4*n + 4*n - n).
2*n
Expand -2*n - n - 2*n + (3 - 3 - 2)*(0*n + 2*n - 4*n) - 2 + 2 + 2*n.
n
Expand (0 - 1 + 0)*(3*y + 2*y - 7*y + 0*y + y - 3*y + (4*y - y - 5*y)*(-1 + 1 - 2) - 5*y + 5*y + 4*y).
-4*y
Expand (4 - 6 + 0)*(5*l + 5*l + 0*l).
-20*l
Expand (2*r + r - 5*r)*(3*r**2 + 0*r**2 + 3*r**2 + r**3).
-2*r**4 - 12*r**3
Expand (-5*d + 3*d + d)*(d - 2*d + 3*d) - d**2 - d**2 + 4*d**2 + (-3*d + 4*d + 2*d)*(1 - 1 + d).
3*d**2
Expand 0 + 0 - k**4 + (0*k + 2*k - 4*k)*(0*k**2 + 0*k**2 - k**3) + (1 - 1 - 3*k**4)*(-3 + 4 + 1) + 0*k**4 + 4*k**4 - k**4.
-2*k**4
Expand 0*p**2 - 2*p**3 + 0*p**2 + (-4*p**3 + 5*p**3 + p**3)*(1 - 2 + 2) - 3*p**3 + p**3 + 5*p**3.
3*p**3
Expand 0*c + 0*c + c**3 + (3*c**2 - 4*c**2 + 0*c**2)*(2*c + 0*c + 0*c) - 3*c + 3*c - 4*c**3 + (2*c**2 + 3*c**2 - 4*c**2)*(-3*c - 4*c + 4*c).
-8*c**3
Expand (14*m - 1 + 6*m + 20*m)*(-1 - 1 + 1).
-40*m + 1
Expand 38*m**3 + 1107 - 1107 + m + (0*m + 3*m - 4*m)*(-2*m**2 + m**2 - m**2).
40*m**3 + m
Expand (2*y**2 - 4*y**2 + y**2)*(-6*y**3 + y**3 + 3*y**3) + 2*y**5 + y**5 + 8*y**5.
13*y**5
Expand (s + 3*s - 3*s)*(4*s**2 + 2*s**2 - 5*s**2) + (-2*s + 2*s + 2*s**2)*(-2*s + 4*s - 3*s).
-s**3
Expand (0*g**4 - g**4 + 0*g**4)*(-5*g + 2*g + g) + 5*g**5 + g**5 - 2*g**5.
6*g**5
Expand (4 + 3 - 6)*(-j - 8 + 0*j + 9).
-j + 1
Expand (-a - 5*a + 3 - 1)*(-1 - 3 + 6).
-12*a + 4
Expand (-4*n + 3 - 1 + 2*n)*(n - 8*n - n).
16*n**2 - 16*n
Expand (3*o**2 - 4*o**2 + 3*o**2)*(2*o - 2*o + 2*o**2) + ((-2*o**2 + 0 + 0)*(2*o + o - 4*o) + 0*o**3 + 2*o**3 - o**3)*(o + 0*o + 2*o).
13*o**4
Expand (6*h**3 + 5*h**3 - 3*h**3 + (0 - 2 + 0)*(-3*h**2 + 3*h**2 + 2*h**3) - 2*h**3 + 0*h**2 + 0*h**2)*(-4 + 5 + 2).
6*h**3
Expand (-6 + 8 + 5)*(0*j - 3*j + 2*j).
-7*j
Expand (0 - 4 + 1)*(0 + 0 + 8*h**2).
-24*h**2
Expand (-2*r + 0*r + 0*r)*(-7*r**2 - 2*r**2 - r**2)*(-1 + 1 + 1).
20*r**3
Expand (2*a - a - 3*a)*(5*a - 3*a + 0*a) + (-38*a + 8*a - 33*a)*(a - a - 2*a).
122*a**2
Expand (3*h + 2*h - 3*h)*(-7*h + 4*h - 10*h).
-26*h**2
Expand (1 - 1 - 5*q)*(3 + q**3 - 3).
-5*q**4
Expand (2 - 17 - 41)*(2 + 3 - 3 - 1 - 3 + 6 + (-2 - 2 + 3)*(4 + 0 - 2))*(-2*v**5 + 2*v**3 - 2*v**3).
224*v**5
Expand (o + o + 0*o)*(-2 - 2 + 6 + 3 + 2 - 3 + (-5 + 2 + 4)*(-4 - 1 + 3) - 5 + 1 + 3 + 5 + 1 + 3)*(0 + 0 + 2).
40*o
Expand b - b + b + (-1 - 2 + 1)*(0 - 4*b + 0 + 1).
9*b - 2
Expand (-3*n + 6*n - 4*n)*(n**2 - 2*n**2 + 4*n**2) + 4*n**3 - 20 + 20 - 4*n + n**3 + 4*n.
2*n**3
Expand 0*i**3 - 3*i**3 + 5*i**3 + 2*i**3 - 2*i**3 + 3*i**3 + (-2 + 0 + 1)*(3*i**3 - 5*i**3 + i**3).
6*i**3
Expand (-1 - 2 + 7)*((2 + 3 - 6)*(-1 + 1 - f**5) + 0*f**5 - f**5 + 2*f**5).
8*f**5
Expand (3 + 2 - 1)*(-4*s - 3*s + 0*s).
-28*s
Expand (15*n - 10*n + 16*n)*(0*n - n + 0 - 1).
-21*n**2 - 21*n
Expand (-2*q - 3*q + 6*q)*(3*q**2 + 2*q**2 - 4*q**2) + 6*q**3 + q**2 - q**2.
7*q**3
Expand (3*p + 3*p + 8*p)*(2*p - 4*p + 3*p)*(-4*p + 3*p - 3*p).
-56*p**3
Expand ((5 + 0 - 3)*(0*v + v + v) + 3*v + 0*v + 0*v)*(-5*v**4 + 2*v**4 - 5*v**4).
-56*v**5
Expand (3 + 0 + 0)*(2 - 2 + u**5 + (16 - 16 - u)*(-4*u**4 + 5*u**4 - 2*u**4)).
6*u**5
Expand (-q**2 - 3 + 3)*(11 - 45 - 11)*((1 - 1 + q)*(2 + 0 - 4) + 2*q - q + 0*q).
-45*q**3
Expand -k**5 + 3*k - 3*k + 2*k**5 - 4*k**5 + 3*k**5 + (-2*k + 0*k + k)*(3*k**4 + 2*k**4 - k**4) - 3*k**2 + 3*k**5 + 3*k**2.
-k**5
Expand (2*a**3 + 2*a**3 - 2*a**3)*(-2*a**2 - a**2 + 5*a**2) + 9*a**5 - 7*a**5 + 39*a**5.
45*a**5
Expand ((1 + 1 - 3)*(-4 + 0 - 1) + 1 + 2 - 2)*(6*k**3 - 3*k**3 - k**3).
12*k**3
Expand (15*i - 4*i + i)*(4*i**2 - 5*i**4 - 4*i**2 + (0*i**2 - 2*i**2 + 0*i**2)*(3*i**2 + i**2 - 3*i**2)).
-84*i**5
Expand (1 + 1 - 1)*(3*x + x - 3*x)*(2 + 4 - 4).
2*x
Expand (4*q - 4*q - q)*(0*q**2 + 0*q**2 - 2*q**2) - 70*q**2 - 15*q**3 + 70*q**2.
-13*q**3
Expand (-a + 0 + 0)*(-573*a + 1161*a - 576*a - 8).
-12*a**2 + 8*a
Expand (-4 - c + 4)*(-2 - 1 - c + 2*c).
-c**2 + 3*c
Expand (-2*s + s - s)*(3 - 4 + 0)*(0*s - 5*s - 2*s).
-14*s**2
Expand (-b**2 + b**2 + b**2)*(-2*b**3 + b**3 + 6*b**3) + (-4*b - b + 7*b)*(-3*b**2 + 3*b**2 + 2*b**4).
9*b**5
Expand (0*c - 4*c + 2*c)*(-4 - 1 + 4) + (46 - 16 - 64)*(-2 - c + 2).
36*c
Expand (-2 - 3 + 2)*(6*a - 4*a**5 - 6*a).
12*a**5
Expand (0 + 2 - 4)*(-3 - 2 - 7)*(-2*r**5 + 3*r**5 + 0*r**5).
24*r**5
Expand ((-3 + 3 + 2*u)*(-3 + 4 + 0) + (-2 + 1 + 3)*(-1 - 2*u + 1))*(-3 - 3*u + 6*u + 6*u).
-18*u**2 + 6*u
Expand -49 + 49 + 25*t**2 + (-3 + 3 - 3*t**2)*(-2 + 1 + 3).
19*t**2
Expand (2 + 2*t - 2)*(-1 - 1 + 5) + (-2*t + 3 + 0*t - 5)*(3 - 1 - 1).
4*t | {
"pile_set_name": "DM Mathematics"
} |
0. Let p(v) = 52*v + 52*v - 154*v + l*v. Give p(h(x)).
396*x**2
Let t(r) = 17*r**2. Let k(o) = 480*o + 4996. Give k(t(n)).
8160*n**2 + 4996
Let j(h) = 4*h**2. Let n(q) = q - 1. Let c(i) = 10199*i + 331. Let m(o) = -c(o) - 6*n(o). Let z(f) = -63*f - 2. Let t(r) = 2*m(r) - 325*z(r). What is j(t(x))?
16900*x**2
Let b(m) = -10*m**2 - 13*m**2 + 8*m**2. Let w = -132 + 133. Let f(g) = -g**2 + 3. Let r(u) = u**2 - 1. Let y(h) = w*f(h) + 3*r(h). Determine y(b(t)).
450*t**4
Let y(x) be the third derivative of -169*x**5/60 + 213*x**2. Let w(m) = -7*m**2. Calculate y(w(r)).
-8281*r**4
Let r(v) = 4*v. Let z(f) = -9*f. Let x(k) = 5*r(k) + 2*z(k). Let a(u) = -59*u. Let i(d) = 30*d. Let m(y) = -3*a(y) - 5*i(y). Determine x(m(t)).
54*t
Let p(w) be the first derivative of w**2/2 + 3*w - 77. Let a(y) = -6*y**2 + 12*y + 36. Let r(g) = a(g) - 12*p(g). Let k(d) = -32*d**2. Give r(k(u)).
-6144*u**4
Let g(t) = -4*t - 892 - 890 + 1782 - 5*t. Suppose -3 = 3*b, 23 + 11 = -5*m - 4*b. Let f(a) = -a + 6. Let n(r) = 1. Let o(i) = m*n(i) + f(i). Determine g(o(k)).
9*k
Let w(d) = 101*d**2 + 5. Let v(b) = -b**2 - 1. Let r(c) = 5*v(c) + w(c). Let q(p) = -2593*p**2 - 2596*p**2 + 7779*p**2 - 2589*p**2. Give r(q(s)).
96*s**4
Let v(y) be the first derivative of 235*y**2/2 - 6767. Let b(d) = 15*d**2. Calculate v(b(n)).
3525*n**2
Let q(d) = 9*d. Let w = -2329 - -2393. Let l = -126 - -197. Let i(a) = -134*a + w*a + l*a. Calculate i(q(o)).
9*o
Suppose -5*v + k + 61 = 0, 3*k + 25 = 5*v - 38. Let c(y) = 4*y - 8*y + v*y + 6*y. Let x(w) = 7*w**2. Calculate c(x(m)).
98*m**2
Let n(l) = 25*l. Let a(s) = s**2 - 10*s. Let o(r) = -2*r - 7*r + 13*r - 6*r + 0*r. Let k = -11 + 16. Let p(z) = k*o(z) - a(z). Calculate p(n(h)).
-625*h**2
Let y(o) = -3*o**2. Let r(f) = 333*f**2 + 3*f - 9. Let i(w) = 6328*w**2 + 56*w - 168. Let m(a) = 3*i(a) - 56*r(a). Determine y(m(t)).
-338688*t**4
Let d be (-10)/25 - (-51)/15. Let a(z) = z**2 - 1. Let m(s) = 10*s**2 - 7. Let q(t) = d*m(t) - 21*a(t). Let p(w) = 5*w. Calculate p(q(k)).
45*k**2
Let t(w) = -w**2. Let q be ((-16)/2)/(3/(-957)). Let c be -29*13/(117/(-264))*3. Let o(m) = -20*m**2 + c - q. Give t(o(k)).
-400*k**4
Let f(p) = -27*p + 100*p - 35*p - 24*p - 25*p. Let i(w) = 5*w + 51. Give i(f(o)).
-55*o + 51
Let t(q) = 79*q**2. Let h(c) = 50*c + 129742 - 129742. What is h(t(m))?
3950*m**2
Let r(b) = -192166307*b**2. Let t(x) = -3*x. Determine r(t(k)).
-1729496763*k**2
Let q(f) = f**2 - 32 - 4 + 41 - 5. Let x(l) = -1910*l**2. Give x(q(t)).
-1910*t**4
Let g(o) = 45*o + 494. Let y(x) = -18*x - 5. Determine y(g(a)).
-810*a - 8897
Let l(z) = 2365*z**2. Let j(u) = -5081*u**2. Calculate j(l(d)).
-28419176225*d**4
Let y(h) = 9955804*h. Let s(c) = -3*c. Calculate s(y(t)).
-29867412*t
Let j(k) = 66*k**2 - k - 124. Let b(v) = -74*v. What is j(b(a))?
361416*a**2 + 74*a - 124
Let y(o) = -2*o - 25. Let v(r) = -1019*r**2 + 2. What is y(v(w))?
2038*w**2 - 29
Let f(m) = -12*m - 48. Let r(c) = -13*c - 46. Let n(l) = -6*f(l) + 5*r(l). Let v(y) = y**2. Calculate n(v(s)).
7*s**2 + 58
Let d(j) = 117*j + 113*j - 6 + 117*j - 344*j. Let p(v) = 22*v. What is d(p(l))?
66*l - 6
Let m(n) = -15*n**2. Let z(c) = -112*c - 90. Let q(a) = 30*a + 23. Let x(l) = 15*q(l) + 4*z(l). Determine x(m(r)).
-30*r**2 - 15
Let k(f) = -3*f. Suppose -u = 5*h + 116 + 75, 207 = -5*h + 3*u. Let i = 74 - h. Let w(a) = 113*a - i*a - 3*a**2 + 7*a**2. Calculate k(w(q)).
-12*q**2
Let q(f) = -45*f + 5. Let s(j) = -23*j + 2. Let d(p) = p**3 - 6*p**2 - 9*p + 16. Let x be d(7). Let g(o) = x*q(o) - 5*s(o). Let y(c) = -2*c**2. What is y(g(i))?
-1250*i**2
Let y(o) = 47*o**2. Let d(k) be the first derivative of -5*k**3/3 + 362. Determine d(y(t)).
-11045*t**4
Let r(i) = i**2. Let v(z) = 20410219*z. What is r(v(k))?
416577039627961*k**2
Let j(g) = 13*g. Let u(k) = -439*k + 144. Let b(t) = 110*t - 32. Let d(c) = -9*b(c) - 2*u(c). Determine j(d(z)).
-1456*z
Suppose -4 = u, 3*u + u = -4*n. Suppose 2*d + n*d = 36. Let k(h) = 4 - d*h**2 - 2 - 2. Let r(b) = 3*b. Determine r(k(s)).
-18*s**2
Let u(h) = -49*h + 24. Let s(y) = 41*y - 20. Let c(f) = -6*s(f) - 5*u(f). Let d(q) = -13*q + 34. Determine d(c(w)).
13*w + 34
Let u(q) = -q. Suppose 9*j - 6*j - 264 = 0. Let k = j - 57. Let y(m) = -6 + 11 - k*m - 5. Calculate y(u(l)).
31*l
Let p(n) = 71*n**2. Let t(j) be the first derivative of -9*j**2 - 2237. What is t(p(b))?
-1278*b**2
Let d(c) be the first derivative of 203*c**3/3 - 1177. Let s(y) = -y**2. Calculate s(d(j)).
-41209*j**4
Let l(f) = -266*f**2 + 540*f**2 + f**2 + 693*f**2. Let t(c) = -4*c**2. Determine l(t(p)).
15488*p**4
Let y(i) = -8136752*i**2. Let w(v) = 15*v. Give y(w(z)).
-1830769200*z**2
Let k(u) be the third derivative of -u**4/4 + 1005*u**2. Let c(b) = -10*b - 12. Give c(k(a)).
60*a - 12
Let g = -692 - -694. Let q(n) = 2312*n**2 - 1159*n**g - 1117*n**2. Let d(r) be the third derivative of r**5/30 - r**2. Determine d(q(s)).
2592*s**4
Let a(p) = -6390*p + 209. Let t(b) = b**2. Give a(t(u)).
-6390*u**2 + 209
Let y(m) be the third derivative of -m**5/15 - m**2. Let h be ((-1)/3)/(38/(-12) + 3). Let z(l) = -5*l**h - 3*l**2 + 10*l**2. Give y(z(g)).
-16*g**4
Let s(a) be the third derivative of -a**5/120 + a**3/3 - 29*a**2. Let o(d) be the first derivative of s(d). Let y(v) = -64*v**2. Give o(y(h)).
64*h**2
Let h(c) = c - 1. Let q be h(7). Let m = 1256 + -1251. Let g(p) = p + 28. Let j(f) = -f - 28. Let x(y) = m*g(y) + q*j(y). Let z(o) = -2*o. Give x(z(d)).
2*d - 28
Let i(a) = -a**2. Let d(l) be the second derivative of 160*l**3 - 993*l. What is d(i(b))?
-960*b**2
Let a(c) = -6*c**2 - c**2 + 5*c**2. Let h(s) = 2727*s**2 - 1322*s**2 - 1463*s**2. Determine a(h(n)).
-6728*n**4
Let f(u) = 4270*u. Let j(x) = -x**2 - 2*x - 931. What is j(f(r))?
-18232900*r**2 - 8540*r - 931
Let g(k) = -113*k**2 - 1. Let f(u) be the first derivative of -11*u**3/3 + 2296. Give g(f(p)).
-13673*p**4 - 1
Let n(a) = a**2. Let m be ((-6)/(-15))/((28/(-40))/7). Let d be 2 + 0/(-2 + 4 + m). Let b(z) = -22*z - 3*z**d - 13*z + 35*z. Give n(b(u)).
9*u**4
Let t(x) = -51844*x. Let n(b) = -10*b**2 + 263. What is t(n(r))?
518440*r**2 - 13634972
Let g(h) = -3*h - 27. Let f(w) = -9*w**2 + 100*w - 28. Give f(g(b)).
-81*b**2 - 1758*b - 9289
Let p(t) be the second derivative of 0*t**2 - 55*t + 0*t**3 - 1/12*t**4 + 0. Let x(l) = 168*l**2. Give x(p(c)).
168*c**4
Let h(k) = 283 + 13*k - 283 - 11*k. Let r(c) = -3216*c. What is r(h(s))?
-6432*s
Let x(f) be the second derivative of 17*f**3/6 - 23*f. Let n be -4 + (-18)/(-4) + 178/4. Let i(b) = -n*b + 45*b - 3*b**2. Determine x(i(r)).
-51*r**2
Let l(b) = -2*b. Let s(k) = -58*k - 4060. Let a be s(-70). Let w(x) be the first derivative of a*x + 0*x**2 + 19 - 22/3*x**3. Determine l(w(h)).
44*h**2
Let v(w) be the first derivative of -15*w**2/2 - 4*w + 1. Let u(b) be the first derivative of -b**3 + 40128. Give u(v(m)).
-675*m**2 - 360*m - 48
Let c(p) = p. Let t(h) be the third derivative of -h**7/840 - h**6/240 - 43*h**5/60 + 8*h**2 - 3*h. Let k(l) be the third derivative of t(l). Give k(c(s)).
-6*s - 3
Let x(m) = 46*m. Let g(s) = 139 + 87 - 6*s + 43*s - 226. What is x(g(a))?
1702*a
Let l(o) = 2*o**2. Let t(m) = -1267*m**2 - 8*m - 44. Let w(g) = -241995*g**2 - 1530*g - 8415. Let c(a) = -765*t(a) + 4*w(a). What is l(c(s))?
3251250*s**4
Let h(u) = -u**2 + 5*u. Suppose -5*y + 35 = -0*y. Let i(b) = y*b + b - 9*b. Calculate i(h(r)).
r**2 - 5*r
Let l(g) = 2*g**2 + g - 51712. Let t(h) = -962*h. What is l(t(c))?
1850888*c**2 - 962*c - 51712
Let u(o) = 3*o**2. Let g(p) = -26237315*p. Determine u(g(k)).
2065190095227675*k**2
Let d(u) = 137753 - 137753 + 13065*u. Let k(f) = f. Give k(d(x)).
13065*x
Let m(j) = 33958*j. Let g(c) = -105*c**2 - c. Calculate m(g(k)).
-3565590*k**2 - 33958*k
Let d(q) = 1696*q**2. Let r(t) = 378*t + 43 - 43 + t**2 - 378*t. What is d(r(v))?
1696*v**4
Let l(c) = 2013*c - 725*c - 1297*c. Let z(m) be the second derivative of -m**4/4 - m. Calculate z(l(u)).
-243*u**2
Let v(d) be the third derivative of 0 + 2*d**2 - 37/24*d**4 + 0*d**3 - 2*d. Let r(m) = 2*m**2 - 3*m**2 - 3*m**2 + 6*m**2. Calculate r(v(t)).
2738*t**2
Let l(m) = 2*m**2. Let f(p) = 3*p**2 - 3*p + 693790. What is f(l(a))?
12*a**4 - 6*a**2 + 693790
Let u(f) = -6*f**2. Let g be 7*(-7)/(-49)*(-3)/(-1). Suppose 15 = 3*i + g*o, -o = 2*i + 2*o - 13. Let d(z) = 5 | {
"pile_set_name": "DM Mathematics"
} |
(l) = -7698*l**2 - 1159*l + 6. Let o(h) = 15396*h**2 + 2311*h - 14. Let w(p) = -2*o(p) - 5*u(p). What is the second derivative of w(t) wrt t?
15396
Let w be -27 - -24 - -1*1*5. Differentiate 2*k + 48*k**2 - 55 + w - 45 with respect to k.
96*k + 2
Let r(d) be the third derivative of -1402*d**7/105 - 13*d**5/30 + d**4/12 - 2*d**2 - d + 1081. Find the third derivative of r(o) wrt o.
-67296*o
Let g(m) be the second derivative of 77*m + 0 - 4*m**4 + 0*m**2 + 1/3*m**3 - 23/4*m**5. What is the third derivative of g(a) wrt a?
-690
Let q(z) be the first derivative of 0*z**3 + 89 - 10*z - 45/2*z**4 - 1/5*z**5 + 0*z**2. Differentiate q(g) wrt g.
-4*g**3 - 270*g**2
Find the second derivative of -265*j**5 + 1398*j - 350*j**3 + 734*j**3 - 384*j**3 wrt j.
-5300*j**3
Let z(w) = -12*w + 11. Let g(y) = 5801*y - 2711. Let c(m) = 2*g(m) + 6*z(m). What is the derivative of c(h) wrt h?
11530
Find the second derivative of -1438*z - 2590*z**3 + 336*z**3 - 79*z**3 wrt z.
-13998*z
What is the third derivative of -1228*k**2 + 8*k**5 - 7076*k**2 + 6162*k**3 - 3341*k**3 - 3268*k**3 wrt k?
480*k**2 - 2682
Find the first derivative of -85 + 2*j**3 + 454 - 13 + 207*j**2 wrt j.
6*j**2 + 414*j
Let q be (-9)/18*2/(-1). Suppose -3*x - q = -16. Find the third derivative of 12*k**3 + x*k**3 - 6*k**3 - 8*k**2 wrt k.
66
Suppose -3*w + 7*i = 3*i + 140, -180 = 4*w - 2*i. Let o be (-99)/w*4/3. Find the first derivative of 6*v**o - 25 + 7*v**3 + 58 wrt v.
39*v**2
Suppose 0 = -4*g + 3*y + 19, -6 = -g - 2*y + 4*y. Suppose -5*u - 2*s + 23 = -6, -3*s + 26 = 5*u. What is the first derivative of -g - 6*l - l + u*l + 2*l wrt l?
2
Let z(o) = 1710*o**2 - 8*o + 1083. Let w(t) = 569*t**2 - 3*t + 362. Let g(f) = -8*w(f) + 3*z(f). Differentiate g(j) wrt j.
1156*j
Let p(q) be the third derivative of -3*q**2 + 1/3*q**4 + 35 + 0*q + 70/3*q**3. What is the first derivative of p(b) wrt b?
8
Suppose u = q + 35, 0 = q + q - u + 66. Let o = 38 + q. What is the third derivative of 12*c**5 - 2*c + 9*c - o*c - 14*c**2 wrt c?
720*c**2
What is the third derivative of -9109*f**2 + 0*f**5 - 8961*f**2 + 19179*f**2 + 13*f**6 + 8*f**5 wrt f?
1560*f**3 + 480*f**2
Let t(q) = -15*q - 17. Let s(r) = -6*r + 63. Let m be s(11). Let p be t(m). Find the second derivative of h + p*h**5 - 29*h + 11*h**5 - h**5 wrt h.
760*h**3
What is the third derivative of 1402*a**3 - 50 - 178*a**3 - 4836*a**2 + 50 wrt a?
7344
Let n(m) = -59*m**3 + 922*m**2 - 9*m + 9. Let w(y) = 62*y**3 - 923*y**2 + 8*y - 8. Let u(i) = 8*n(i) + 9*w(i). Find the third derivative of u(q) wrt q.
516
Let c(v) = 143*v**2 + v + 146. Let l(o) = -o**2 + 1. Let d(r) = -c(r) - 2*l(r). Differentiate d(f) with respect to f.
-282*f - 1
Let x(p) = -p**3 + p**2 - 6*p - 2. Let w(a) = 4*a**5 + 3*a**3 + 561*a**2 - 2650*a + 6. Let y(l) = w(l) + 3*x(l). What is the second derivative of y(t) wrt t?
80*t**3 + 1128
Let s(o) be the third derivative of 131*o**7/70 - 70*o**3/3 + 2*o**2 - 407*o. Find the first derivative of s(u) wrt u.
1572*u**3
Let p = -472 + 523. What is the derivative of 51 + p + 67 + 102*d - 21 wrt d?
102
Let t(z) = -3353*z**2 + 11*z - 1056. Let d(s) = -2235*s**2 + 8*s - 708. Let g(n) = -7*d(n) + 5*t(n). Find the second derivative of g(j) wrt j.
-2240
Let g = 203 - -2776. What is the third derivative of -110*d**2 + 2980*d**3 - 4 - g*d**3 + 4 wrt d?
6
Let k be -3 + 1 + (-53)/(-1). Find the first derivative of 241 + k*i**2 + 232 - 477 wrt i.
102*i
Suppose -5*p + 6 + 4 = 0. Suppose 2*q - 12 = 4*x, 0*q + 4 = 4*q + p*x. Find the second derivative of -193 + 4*o**3 + q*o + 193 wrt o.
24*o
Let c = 287 - 285. Find the third derivative of -10*m**3 - 22*m**3 + 32*m**3 - 52 + c*m**2 + 22*m**4 wrt m.
528*m
Let m(i) be the first derivative of i**2 + 0*i**4 + 0*i**3 - 106/5*i**5 - 88 - 24*i. Find the second derivative of m(r) wrt r.
-1272*r**2
Let o be -10*2*4/(-16). What is the third derivative of 103*f**5 + 2*f**3 - 178*f**5 + 120*f**o - 11*f**2 wrt f?
2700*f**2 + 12
Suppose 0 = u - 5*u + 72. Suppose -20*x = -u*x - 4. Find the first derivative of 2*d**2 + 0 + 3 - 11*d**2 + x wrt d.
-18*d
Let u(k) be the second derivative of 50*k**2 - 10 - 2*k - 1/3*k**3 - 31/12*k**4. Find the first derivative of u(f) wrt f.
-62*f - 2
Suppose 4*w + 4 = -4*n, w + 7*n - 2*n = -13. Let q(j) = -10*j - 130. Let h be q(-16). Differentiate -h + 9*v**w - 18*v**2 + 11*v**2 wrt v.
4*v
Let l(j) be the first derivative of -31 + 19/6*j**3 + 0*j**4 + 0*j + 9/2*j**2 - 2/15*j**5. Let x(t) be the second derivative of l(t). Differentiate x(s) wrt s.
-16*s
Let j(x) be the second derivative of -42*x**6/5 + 511*x**4/6 + 422*x. Find the third derivative of j(u) wrt u.
-6048*u
Let x(q) = 11*q + 336. Let n be x(-30). Let t(z) = -44*z - 29. Let s(m) = 174*m + 115. Let g(y) = n*s(y) + 22*t(y). What is the derivative of g(h) wrt h?
76
Let p(n) be the second derivative of 1519*n**6/15 - 37*n**4/12 + 7*n**3/6 + n**2 - 2*n - 762. Find the third derivative of p(c) wrt c.
72912*c
What is the second derivative of 11 - 8 + 1037*o**4 + 45615*o**3 + 283*o - 45618*o**3 wrt o?
12444*o**2 - 18*o
Let p(w) be the third derivative of 241*w**6/5 - w**5/60 + w**4/12 + 13591*w**3/6 + w**2 + 739. Find the first derivative of p(x) wrt x.
17352*x**2 - 2*x + 2
Let r(k) be the third derivative of -11/4*k**4 + 4/5*k**5 + 0*k**3 - 107*k**2 + 0*k + 0. Find the second derivative of r(d) wrt d.
96
Let r(n) be the third derivative of 161*n**5/60 + n**4/24 - 1563*n**3/2 - 2*n**2 - 350*n - 3. Differentiate r(v) wrt v.
322*v + 1
Let o(w) be the first derivative of 2877*w**4/4 + w**3/3 - 32*w + 2219. Find the third derivative of o(l) wrt l.
17262
What is the second derivative of -321*z + 1 + 1574*z**2 - 5691*z**2 - 15 + 10 + 0 wrt z?
-8234
Let u(b) = -b + 5. Let s be u(0). Let h(j) = -10*j - 172. Let f be h(-18). Find the third derivative of 191*t**4 + f*t**2 - 191*t**4 - 7*t**s wrt t.
-420*t**2
Let k(t) = -495*t + 2054. Let r(d) = -989*d + 4089. Let y(b) = -11*k(b) + 6*r(b). What is the derivative of y(u) wrt u?
-489
Let d(p) = -2*p**3 + 5*p**2 + 54*p - 1. Let h(s) = -s**2. Suppose 60 = 15*w - 5*w. Let b(a) = w*h(a) + d(a). What is the second derivative of b(n) wrt n?
-12*n - 2
Find the second derivative of 1 + 798*a**2 + 797*a**2 + 375*a**2 - 561*a**2 + 284*a**2 - 97*a wrt a.
3386
Suppose 88 = -6*j + 17*j. What is the first derivative of 201*a - 201*a + 16*a**2 + j wrt a?
32*a
Suppose -f - 32 = -2*s, f = -5*s - 0*f + 94. Let a = s + -15. Differentiate 2*q**3 - 11 + 10*q**a - 3*q**3 wrt q.
27*q**2
Let d(g) = -3*g**2 + 19*g - 4. Let q be d(6). Let t = -8 - -12. What is the first derivative of 3 - 8*c**q + 9*c**2 + 4*c**2 + t*c**2 wrt c?
18*c
Suppose 9*x + 114 = 2*s + 7*x, -3*s + 171 = -x. Differentiate -175*i - s - 16 + 383*i with respect to i.
208
Let j(r) be the second derivative of 0 + 0*r**5 + 19/21*r**7 + 11/2*r**3 + 0*r**4 + 0*r**2 + 0*r**6 - 41*r. Find the second derivative of j(s) wrt s.
760*s**3
Suppose -j + 42 = -0*j. Let x = 14839 + -14837. What is the third derivative of -j*r**3 + 3*r**x + 28*r**3 + 22*r**2 wrt r?
-84
Let p(b) be the second derivative of 3/2*b**2 + 0 + 223/42*b**7 + 0*b**4 + 0*b**5 - 7/3*b**3 + 138*b + 0*b**6. Find the second derivative of p(m) wrt m.
4460*m**3
Let l(y) = -y**2 + y - 5. Let w(b) = 1716*b**3 - 4*b**2 + 6*b + 431. Let z(v) = 4*l(v) - w(v). What is the second derivative of z(o) wrt o?
-10296*o
Let i = -34 - -39. Let x(c) = c**3 - 3*c**2 - 5*c - 9. Let z be x(i). Find the third derivative of 24*d**2 - 7*d**2 - z*d**4 + 4*d**2 - 5*d**2 wrt d.
-384*d
Let q(g) be the first derivative of -92*g**6/3 - 8*g**3/3 - 2*g**2 - 21*g + 2178. Find the second derivative of q(w) wrt w.
-3680*w**3 - 16
Differentiate -874*r**4 + 5219 + 564*r**4 - 2924*r**4 - 205*r**4 + 4900 with respect to r.
-13756*r**3
Let j(b) be the first derivative of -2325*b**4/4 + 5059*b**3/3 - 288. Find the third derivative of j(i) wrt i.
-13950
Let a(l) = 22 + 6 - 40*l**3 + 30 - 31*l**3. Let f(b) = 70*b**3 - 58. Let d(o) = 3*a(o) + 4*f(o). What is the derivative of d(u) wrt u?
201*u**2
Let g = 46 + -41. Suppose g*v - 18 = -4*v. What is the second derivative of -5*o + 6*o**3 + 13*o + v*o**3 + 8*o wrt o?
48*o
Let d(r) = -2*r - 7. Let x be d(-20). What is the second derivative of 2*c**2 - 2*c**2 - 18*c**3 - x + 40 + c wrt c?
-108*c
Let g(s) = -s**2 + s | {
"pile_set_name": "DM Mathematics"
} |
8?
8
Suppose -323*o + 326*o - 1377 = 0. Let v = -439 + o. Calculate the highest common factor of 120 and v.
20
Let p(x) = 6*x**2 + 40*x - 9. Let s be p(-7). Suppose -9*h + 7*h - s*g + 39 = 0, -2*g = 10. What is the greatest common factor of 64 and h?
32
Let p = 39 - 38. Let u be (p/2)/((-14)/(-476)). What is the greatest common factor of 34 and u?
17
Let h = 4 + 12. Let y be -3 + 7 + (-19)/(-1). Suppose -i - 3520 = -y*i. What is the highest common factor of i and h?
16
Let n = 10419 - 10315. Calculate the highest common divisor of n and 26728.
104
Let a = -4334 + 4370. Calculate the highest common factor of a and 2544.
12
Suppose 2*z - 1 = -9, -2*g + 4*z + 22 = 0. Suppose s + 4*s + 25 = 5*t, -t + g*s - 3 = 0. Calculate the highest common factor of 15 and t.
3
Suppose -3*v - 16 = -7, 3*v = -2*z + 1. Let b be (-2520)/(-50) + -7 + (-2)/z. What is the greatest common factor of b and 989?
43
Let i be 752/22 - 256/1408. What is the greatest common factor of 6630 and i?
34
Let q(m) = 3*m**3 - m**2 + 65*m - 122. Let n be q(2). What is the greatest common factor of 840 and n?
28
Let f be (18 - -15) + -16 - -3539. What is the greatest common divisor of f and 762?
254
Suppose -466 + 190 - 1154 = -110*q. What is the greatest common divisor of 14677 and q?
13
Suppose -i - 4*a + 1130 = 2*i, -5*a = -25. What is the greatest common factor of 518 and i?
74
Let i = -3528 - -3653. What is the highest common factor of i and 8875?
125
Suppose 12*b - 282 = -w + 10*b, 5*b - 852 = -3*w. What is the highest common divisor of w and 3038?
98
Suppose 3*w - 47 = 61. Suppose 36 = -5*q + 9*q. Suppose -10*s + q*s = 2*z - 143, -5*s + 211 = 3*z. What is the greatest common factor of z and w?
36
Let n(t) = 2*t + 7. Let q be n(-3). Let y be (-889)/(-14) - q - 2/4. What is the highest common divisor of 31 and y?
31
Suppose 177413 = -6*i + 41*i + 62*i. Calculate the greatest common factor of 186 and i.
31
Suppose -2*u - v = -502, -68*v + 1256 = 5*u - 66*v. What is the highest common factor of u and 644?
28
Let b = 196 - 248. Let i = -20 - b. What is the highest common factor of i and 56?
8
Suppose -5*r - 7*r = -36. Suppose 0 = -r*z + t + 63, 3*z = 4*z - 3*t - 29. Let a(c) = c - 16. Let w be a(z). What is the highest common factor of 4 and w?
4
Let o = 3236 - 3071. What is the greatest common divisor of 135 and o?
15
Let f(k) = -2*k**2 + 26*k + 4. Let s be f(10). Let m = -124 - -214. Let q = -74 + m. What is the greatest common divisor of q and s?
16
Let n be 16/3 - 32/(-48). Let x be (6/(-9))/(n/(-45)). Let b = 38 - 36. Calculate the greatest common divisor of b and x.
1
Let h(x) = -2*x + 8. Let d be h(-5). Suppose -46 - d = -16*w. What is the highest common divisor of w and 1?
1
Let k(m) = -51*m + 55. Let q be k(-16). Suppose 12*t = -t + q. Calculate the greatest common factor of 737 and t.
67
Let l(i) = 11*i. Let h be l(-1). Let c = h + 13. Suppose -p + c*w = -27, p - 3*w - 66 = -2*p. Calculate the highest common factor of p and 17.
17
Let b = 65 - 25. Suppose 3*l - 5*v = 98, 19 = 2*l - 3*v - 46. Suppose -l*z + 55 = -255. Calculate the greatest common factor of b and z.
10
Let g = 6571 + -6472. What is the highest common divisor of g and 1111?
11
Let a be (12/(-64)*4)/(1/(-4)). Let m(x) = -x**2 + 29*x + 74. Let u be m(31). Let s be (6 - 68/u) + 59/a. Calculate the highest common factor of 160 and s.
20
Suppose 7*y - 13 = 1. Let d(a) = -a**3 - 5*a**2 - 2*a + 10. Let z = -86 - -82. Let j be d(z). Calculate the highest common divisor of y and j.
2
Let s(n) = -6*n**2 - 287*n + 116. Let u be s(-42). What is the highest common divisor of 1342 and u?
122
Let u be (-10)/3*54/(-10). Suppose 58*t - 61*t + 9 = 0. Calculate the greatest common factor of u and t.
3
Let x = 290 + -137. Let g be ((-567)/(-2))/3*102/x. Calculate the greatest common divisor of 45 and g.
9
Let j = 148 + -104. Let b = j - 39. Let v be 77/b + 22/(-55). Calculate the greatest common divisor of v and 3.
3
Let k(w) = -w + 23. Let f be k(-22). Suppose -2*g = -49 + f. Let o be (1 - g)/(2/(-18)). What is the greatest common factor of o and 90?
9
Suppose -105 = -5*r - 5*y, -2*y = 3*r - 27 - 44. Calculate the greatest common divisor of r and 1537.
29
Suppose -390 = 4*g - 5*f - 1055, 2*g + 2*f = 364. What is the greatest common factor of g and 10025?
25
Let d(t) = 4*t + 67. Let j be d(6). Suppose 21*w - 3*w - 2106 = 0. What is the greatest common factor of w and j?
13
Let j be ((-8)/(-10))/(14/35). Suppose -j*z = -2*o + 72, 15 = -z + 4*z. Let m be 100/(-60) + o/3. Calculate the greatest common divisor of 12 and m.
12
Suppose 0 = 3*t - 2*n + 20 - 338, 3*n = 2*t - 207. Calculate the greatest common divisor of 1503 and t.
9
Let w be 2/(-8)*5*-80. Let d be 0 - 2 - (-25 + -22). Suppose -2*i - 5*l = -w, l - d = -i + 2. What is the highest common factor of 18 and i?
9
Suppose 0 = 2*h + l - 165, 45 - 30 = 3*l. Suppose 0 = -b + 4*z + 12, -z - 4*z = 4*b - 69. Calculate the highest common divisor of h and b.
16
Let b = 4657 + -4277. Calculate the highest common factor of 874 and b.
38
Suppose -h - 2*a = -4, -7*a - 3 = -4*h - 2*a. Suppose -m + h*m = 9. Calculate the greatest common divisor of m and 18.
9
Suppose -2*s = -121 - 33. Let y = 273 + -259. Calculate the highest common factor of y and s.
7
Suppose -4*g = 20, 0*d + 10555 = -2*d - 5*g. Let a be d/26*(-4)/(-3). Let t be a/(-24)*(-32)/(-6). What is the greatest common divisor of 12 and t?
12
Suppose 3*z - 40 = -2*t, t + z - 14 = -2*z. Calculate the highest common factor of t and 416.
26
Let j = -200 - -210. Suppose 5*n = -j, 5*n - 28 = 5*s - 73. Calculate the greatest common divisor of s and 49.
7
Let y be 57 + (-3 + 6 - 6). Suppose -19*z + 8284 = -0*z. Let c = -355 + z. What is the highest common factor of c and y?
27
Let g(z) = -z**3 + 6*z**2 - 7*z + 12. Let y be g(5). Let c be y/(-25) - (-1938)/475. Suppose -40 = -2*f - 16. What is the highest common factor of f and c?
4
Suppose -1201 - 984 = -5*n. Suppose -36*t - 92 = -40*t. Calculate the greatest common factor of n and t.
23
Let q = -73 + 117. Let x = 767 - 758. Suppose 99 = x*h - 0. Calculate the greatest common divisor of q and h.
11
Suppose 115 = 7*h - 165. Let v be 7/(-2)*240/(-168). What is the greatest common divisor of v and h?
5
Let p(m) be the first derivative of m**3 - 10*m**2 - 32*m - 134. Let v be p(17). Calculate the highest common divisor of v and 45.
45
Let j be 14/(-21)*-25*3648. Suppose -4*f = 60*f - j. What is the highest common factor of 50 and f?
50
Let z(c) = c**3 + c**2 + 35*c + 16. Let r be z(0). Calculate the highest common factor of 536 and r.
8
Let q(y) = y**3 + 9*y**2 + 9*y + 4. Let l be q(-7). Let w be 2*19 - (246 + -260). Calculate the highest common divisor of l and w.
13
Let m be 4 - (4/6)/(4/6). Suppose -223 = -4*b + m*r, -4*r - 59 = -3*b + 2*b. Suppose 20*d - 385 = 19*d. Calculate the greatest common factor of d and b.
55
Suppose r = -3*r + 4. Let t be -2 + (4 - (3 + r)). Let o be 73 + t/1 - (-1 + 0). Calculate the greatest common divisor of 18 and o.
18
Let r(h) = -h**3 - 11*h**2 - 11*h - 7. Let s be r(-10). Suppose -q = 4*l - 3, -12 + 3 = 3*l + s*q. What is the greatest common factor of 5 and l?
1
Let q(b) = 4*b**2 - 48*b + 231. Let k be q(5). Calculate the greatest common divisor of 455 and k.
91
Suppose 0 = 5*y - k - 169, 8*y - 2*k = 3*y + 173. Suppose -455 = -j - 5*o - 178, 12 = -3*o. What is the greatest common factor of y and j?
33
Let u = 1845 - 1844. What is the greatest common divisor of 1 and u?
1
Suppose -228 = -4*l - 3*s, -7*l + 332 = 5*s - 66. What is the greatest common factor of l and 228?
6
Let k be (48/32)/(6/32). Let y be (-11)/((-385)/1840) - k/14. Suppose -45*z + 47*z - 1144 = 0. Calculate the highest common divisor of z and y.
52
Let y = -192 - -280. Let a be 3 + y/12*1*-3. Let i = a + 47. Calculate the highest common divisor of i and 7.
7
Let w be (741 + -2)/(-16 + 15). Let l = -631 - w. Calculate the greatest common divisor of l and 135.
27
Let o(m) = -247*m**3 + 2*m**2 - m. Let d be o(1). Let z = d - -271. What is the greatest common factor of 225 and z?
25
Suppose -327*j = -320*j - 539. Let s(n) = 5*n - 1. Let c be s(9). What is the highest common divisor of c and j?
11
Let a = 5698 - 5668. What is the greatest common factor of a and 11730?
30
Suppose -6*a = -12* | {
"pile_set_name": "DM Mathematics"
} |
.3 (c) t (d) 5
c
Let h = 2 + -6. What is the third smallest value in h, -0.5, 1?
1
Let s = -166 - -170. Let m = 11 - 16. Let z = -6 + 8. Which is the third smallest value? (a) m (b) s (c) z
b
Let u = 10 - 6. Let z = -1.02 - -1. Let w = 2.98 - z. What is the smallest value in u, 0, w?
0
Let y = -4.88 - 0.12. Let r = 20 + -20.1. Which is the third smallest value? (a) r (b) y (c) -3
a
Let y = -0.09 + -1.91. Let q = -16 + 13.8. Let j = 2 + q. Which is the smallest value? (a) y (b) -2/5 (c) j
a
Let r = -15 - -14.93. Let k = r - -1.07. Let u = -6 + k. What is the second smallest value in -0.5, u, 0.2?
-0.5
Let q be 2/4*(-2 + -1). Let f(s) = -s**2 - 6*s - 1. Let p be f(-5). Suppose -6*d + p = -5*d. Which is the smallest value? (a) 1/4 (b) q (c) d
b
Suppose 0*p + 2*p - 8 = -3*f, 0 = -5*p + 2*f - 18. Let x be p/(92/(-50)) - 1. What is the second smallest value in 5, -3, x?
x
Let v = -0.1 - -0.6. Let y = 5.59 + -0.48. Let k = y + -0.11. What is the second biggest value in -2, k, v?
v
Let n = 6.9 + -0.9. Let p = n - 3. Let z = -2 + 3. Which is the third biggest value? (a) 0.4 (b) z (c) p
a
Let j = 15 + -16. What is the third smallest value in 5, -2/9, -0.21, j?
-0.21
Suppose 2 = h - 0, 5*h - 16 = -3*i. Suppose 3*p = -17 - 19. Let c be (-4)/10*(-20)/p. What is the second biggest value in -3/8, c, i?
-3/8
Let q be (-1)/2*(-8)/32*3. Let g be 0/(-1 - -2) - -3. Suppose -x + 1 = -g. What is the smallest value in x, q, 2?
q
Let k be (0 + 1)*1/(-3). Suppose 5*q - t = 0, -6 = -2*q + 3*t + 7. Which is the smallest value? (a) q (b) 2/15 (c) k
a
Let v = -20 + 19.9. Which is the smallest value? (a) 0.4 (b) 3 (c) v
c
Let p = 13.1 + -12.1. What is the third smallest value in 5, p, -1/9?
5
Let h = 87 + -86.6. What is the third biggest value in 9/5, h, 2?
h
Let q be (7 - 5)/(-4 - -1). Let t be ((-10)/3)/((-4)/6). Let s be t/3*2/15. Which is the third biggest value? (a) q (b) s (c) 5
a
Let u = -5/24 - 1/24. Let g = -1 - -4. What is the third smallest value in u, -0.4, g?
g
Let v = 7 + -5. Suppose v*p + p - 9 = 0. Let x be (-2)/12 + 1 - 1. Which is the third smallest value? (a) p (b) -0.3 (c) x
a
Let o = 8/11 - 67/77. Which is the third biggest value? (a) -1/5 (b) o (c) -2/21
a
Let s = -15 - -13. Let n be (-8)/(-24) + 5/(-6). Which is the third biggest value? (a) n (b) 1 (c) s
c
Let b be (66/108)/(1/(-2)). Let x = -8/9 - b. What is the third smallest value in x, 0.2, 3/5?
3/5
Let k be 5/(-4)*(-28)/21. What is the third smallest value in k, 0.4, 2?
2
Let l = 7 - 5.6. Let b = -6.4 + l. Let t = -103/4 + 1125/44. What is the third biggest value in b, -1/2, t?
b
Let j = -65.1 - -65. Let d be 0 + -1 - (-16)/10. Which is the smallest value? (a) -1 (b) d (c) j
a
Let o be ((-5)/(10/(-42)))/(-1). Let v = o + 3. Let s be (-3)/(v/15) - 2. Which is the biggest value? (a) 3 (b) s (c) 2/21
a
Let x = -187.4 + 187. Which is the third biggest value? (a) -2 (b) x (c) -5 (d) 1
a
Let t = 196 - 196.5. What is the biggest value in 36, -2, t?
36
Let i = -37 - -33. Which is the second biggest value? (a) 2/77 (b) -0.2 (c) i
b
Let t = -10 - -10.9. What is the second biggest value in t, -2, -3?
-2
Let x = 0.22 - -0.08. Let n = -1 + 1.5. Let m = 0.5 - n. What is the second biggest value in 2, x, m?
x
Let r = 8 - 3. Let q(j) = j**3 + j**2 - j. Let h = 6 + -8. Let l be q(h). What is the smallest value in 1/8, l, r?
l
Let s be ((-6)/8)/((-1)/4). Let o = -6 + 0. Let k = o - -3. What is the second biggest value in -2, k, s?
-2
Let w be 4/2 - (-77)/(-33). What is the second smallest value in 2, -3, w, -2/13?
w
Let m be (0 - 2 - 16)/(-2). Let y = 577/3 - 183. Let z = y - m. Which is the second biggest value? (a) z (b) 5 (c) 0
a
Let k be (3 - 0) + -2 + -1. Let g be (3 + 1 - 2)/(-2). What is the third biggest value in k, g, 0.2?
g
Let y = -0.046 + -7.954. Which is the second smallest value? (a) 4 (b) y (c) 0
c
Let q = 0.6 + -1.1. Let t = 2 - 5. Which is the third smallest value? (a) t (b) 2/7 (c) q
b
Let i = -199/5 + 39. What is the third biggest value in i, -10, -1/11, -3?
-3
Let f be (-4)/(-18) + 5/(450/(-8)). Which is the third biggest value? (a) 3 (b) -1/6 (c) f
b
Let i = 1.7 + -0.7. What is the second biggest value in -0.3, i, 3?
i
Suppose 0 = n + 4*l - 0 - 3, 4*n + 18 = -l. Let x = 313/70 - 32/7. Which is the second smallest value? (a) x (b) n (c) -1/5
c
Let r = -792 + 1232. Let h be 30/r + (-2)/(-11). Which is the second smallest value? (a) 0.1 (b) 2 (c) h
c
Let x = 6 - 6. Let b = 17/12 + -13/6. What is the smallest value in -2/7, x, b?
b
Let s = 0.1 + -0.3. Let t = -2 - -2. Let q = s - t. What is the second biggest value in q, 1, 4?
1
Suppose 2*r + 8 = -2*r. Let p = -1 - -5. What is the third smallest value in -1, p, r?
p
Let z be (-5)/(-30)*34/(-5). Let x = z + 179/105. What is the second smallest value in 2, 5, x?
2
Let w = 3.9 + 0.1. Let g = 3 + -3.1. Let z = 0.3 + g. What is the biggest value in z, -0.2, w?
w
Suppose m - 3*m - 6 = 0. Let n = 51 - 52. Let y = -5 - -5. What is the second smallest value in n, y, m?
n
Let v = -0.2 - -0.3. Let s = -0.4 - v. Let w(q) = q + 1. Let o be w(1). What is the third smallest value in s, o, 0.2?
o
Suppose 2*b = 5*b + 12. Let k = 17 - 22. What is the third smallest value in -2/9, k, b?
-2/9
Let h = -34.3 - -34. What is the second smallest value in 0, 4, -2, h?
h
Let i be (27/6 + -1)*18. Let p be 13/i - (-12)/54. What is the third biggest value in -2, p, 3?
-2
Let j = 2843 + -59681/21. Let x = j - 3/14. What is the third smallest value in 1, x, 2/7?
1
Let p = 10 - 6. Let i = p + -3.4. Let j = 0.7 - i. Which is the second smallest value? (a) -4 (b) j (c) 3
b
Let z(y) = -y - 3. Let b be z(-4). Suppose -v + j - 2 + b = 0, 3*v - 3 = 5*j. What is the second smallest value in 0.5, 1, v?
0.5
Let n = 0.04 - 3.04. Let y = -5.09 + 0.09. Let p = y - n. What is the third biggest value in -4, 0.4, p?
-4
Suppose 4*p = 3*p + 2. Which is the second smallest value? (a) 1/8 (b) -3 (c) p
a
Let u be 1/(-6 + (-115)/(-10)). Let q = -1 - -1.4. Suppose -4*m = -2*d + 26, -m - 12 = 2*m. Which is the third biggest value? (a) q (b) d (c) u
c
Let f = -54 - -47. Suppose r - 6*r = 25. What is the smallest value in f, 4, r?
f
Let g = 1.5 + 3.5. Let k = -6 - -8. Let l = 7/4 - 67/36. Which is the second biggest value? (a) l (b) g (c) k
c
Let j = -2.1 + -6.9. Let l = j + 4. Let s = 5 + l. What is the third biggest value in -0.2, s, 0.3?
-0.2
Let p be 0/(2/(2 + -1)). Suppose 0 = -p*m - 4*m. Which is the third smallest value? (a) m (b) -2 (c) -12
a
Let i = -5/9 - -8/63. Let t = -12 + 9. Which is the third smallest value? (a) t (b) -0.7 (c) i
c
Let d = 0.2 - 0.6. Suppose -15*z + 26 = -2*z. Which is the biggest value? (a) 7 (b) d (c) z
a
Let g be (-2)/4*2/12*3. Let w = 8 - 6. What is the third biggest value in w, g, 3?
g
Let t = -0.15 + -0.45. Let u = -2.6 - t. Which is the biggest value? (a) 4 (b) u (c) 2
a
Suppose -4 + 12 = 4*r. Let x = -1/535 + -34773/1070. Let a = x + 33. What is the second biggest value in -4, a, r?
a
Suppose 0*o - 3*o + 6 = 0. Let p be o*(-4)/((-24)/15). Suppose -2*m - 3 + p = 0. Which is the smallest value? (a) m (b) 3 (c) -0.4
c
Let l = -249/440 - 3/88. Let y = -0.2 + -2.8. What is the third biggest value in l, -4, y?
-4
Let m be 3/((-135)/186) - (-9 + 5). Which is the second biggest value? (a) 4 (b) m (c) -1 (d) 3
d
Let j = 3.89 - -0.11. Let s = j + -4.4. Which is the smallest value? (a) -1 (b) 0.1 (c) s
a
Let k = 101 - 509/5. Let u be ((-6)/15)/(8/(-5)). Which is the biggest value? (a) k (b) u (c) -2/15
b
Let d(s) = -9*s**2 + 6*s**3 + 0*s**3 + 10 - 5*s**3 + 7*s. Let r be d(8). What is the smallest value in -0.2, r, 0.5?
-0.2
Let y = 698 + -700. Let v = 0.4 + -0.3. Let b = -349/799 + 15/47. What is the third biggest value in y, v, b?
y
Suppose 3*p + 28 = -4*o - 9, 5*o + 26 = 3*p. Let t = o - -8. Which is the third biggest value? (a) 0.4 (b) -0.4 (c) t
b
Let u = 22 - 17. Which is the third biggest value? (a) u (b) -4 (c) 1/8 (d) 3
c
Let x = -151 + 150.92. Which is the second smallest value? (a) -0.5 (b) -4 (c) x
a
Let g = -4/107 + -186/749. Let w = -0.2 + -0.3. What is the second smallest value in w, g, -0.2?
g
Let z = -186/7 + 183/7. Which is the second smallest | {
"pile_set_name": "DM Mathematics"
} |
by 167.
14
Calculate the remainder when 158 is divided by 9.
5
What is the remainder when 98 is divided by 44?
10
What is the remainder when 64 is divided by 27?
10
What is the remainder when 1016 is divided by 48?
8
What is the remainder when 12142 is divided by 48?
46
What is the remainder when 337 is divided by 17?
14
What is the remainder when 31 is divided by 12?
7
Calculate the remainder when 89 is divided by 27.
8
What is the remainder when 23503 is divided by 26?
25
Calculate the remainder when 1791 is divided by 66.
9
Calculate the remainder when 133 is divided by 27.
25
Calculate the remainder when 98 is divided by 36.
26
Calculate the remainder when 226 is divided by 77.
72
What is the remainder when 532 is divided by 111?
88
What is the remainder when 111 is divided by 84?
27
What is the remainder when 177 is divided by 64?
49
What is the remainder when 44 is divided by 18?
8
What is the remainder when 40 is divided by 12?
4
What is the remainder when 273 is divided by 92?
89
Calculate the remainder when 295 is divided by 6.
1
Calculate the remainder when 196 is divided by 26.
14
Calculate the remainder when 642 is divided by 126.
12
Calculate the remainder when 719 is divided by 48.
47
What is the remainder when 463 is divided by 15?
13
Calculate the remainder when 617 is divided by 57.
47
Calculate the remainder when 53 is divided by 36.
17
What is the remainder when 9764 is divided by 22?
18
What is the remainder when 30 is divided by 18?
12
Calculate the remainder when 1042 is divided by 80.
2
What is the remainder when 187 is divided by 104?
83
What is the remainder when 94 is divided by 14?
10
Calculate the remainder when 102 is divided by 22.
14
What is the remainder when 131 is divided by 130?
1
What is the remainder when 166 is divided by 155?
11
Calculate the remainder when 195 is divided by 66.
63
Calculate the remainder when 212 is divided by 24.
20
What is the remainder when 65 is divided by 18?
11
What is the remainder when 305 is divided by 49?
11
What is the remainder when 375 is divided by 88?
23
What is the remainder when 523 is divided by 33?
28
What is the remainder when 83 is divided by 6?
5
What is the remainder when 190 is divided by 45?
10
Calculate the remainder when 2505 is divided by 66.
63
Calculate the remainder when 1671 is divided by 210.
201
What is the remainder when 122 is divided by 23?
7
What is the remainder when 1759 is divided by 1754?
5
What is the remainder when 493 is divided by 9?
7
What is the remainder when 9 is divided by 4?
1
Calculate the remainder when 12431 is divided by 56.
55
Calculate the remainder when 406 is divided by 16.
6
Calculate the remainder when 298 is divided by 34.
26
Calculate the remainder when 103 is divided by 20.
3
What is the remainder when 143 is divided by 135?
8
What is the remainder when 222 is divided by 68?
18
Calculate the remainder when 48 is divided by 35.
13
Calculate the remainder when 124 is divided by 9.
7
Calculate the remainder when 14082 is divided by 45.
42
What is the remainder when 2989 is divided by 41?
37
What is the remainder when 37 is divided by 19?
18
What is the remainder when 118 is divided by 52?
14
What is the remainder when 12289 is divided by 51?
49
Calculate the remainder when 1715 is divided by 64.
51
Calculate the remainder when 1046 is divided by 88.
78
Calculate the remainder when 179 is divided by 67.
45
What is the remainder when 1067 is divided by 9?
5
Calculate the remainder when 23 is divided by 6.
5
What is the remainder when 185 is divided by 39?
29
What is the remainder when 82 is divided by 22?
16
What is the remainder when 1106 is divided by 6?
2
What is the remainder when 42 is divided by 16?
10
What is the remainder when 130 is divided by 33?
31
What is the remainder when 139 is divided by 19?
6
What is the remainder when 130 is divided by 19?
16
What is the remainder when 4621 is divided by 23?
21
What is the remainder when 285 is divided by 18?
15
Calculate the remainder when 50 is divided by 18.
14
Calculate the remainder when 20 is divided by 11.
9
What is the remainder when 1336 is divided by 25?
11
Calculate the remainder when 74 is divided by 39.
35
Calculate the remainder when 2017 is divided by 22.
15
Calculate the remainder when 46 is divided by 19.
8
Calculate the remainder when 12 is divided by 1.
0
Calculate the remainder when 1215 is divided by 14.
11
What is the remainder when 61 is divided by 13?
9
What is the remainder when 953 is divided by 203?
141
Calculate the remainder when 155 is divided by 54.
47
Calculate the remainder when 51 is divided by 44.
7
Calculate the remainder when 1719 is divided by 102.
87
Calculate the remainder when 292 is divided by 84.
40
What is the remainder when 103 is divided by 36?
31
Calculate the remainder when 17 is divided by 2.
1
Calculate the remainder when 1131 is divided by 186.
15
Calculate the remainder when 139 is divided by 47.
45
Calculate the remainder when 204 is divided by 54.
42
Calculate the remainder when 114 is divided by 21.
9
Calculate the remainder when 1000 is divided by 77.
76
Calculate the remainder when 572 is divided by 82.
80
What is the remainder when 1458 is divided by 39?
15
What is the remainder when 538 is divided by 108?
106
Calculate the remainder when 51 is divided by 20.
11
What is the remainder when 132 is divided by 27?
24
Calculate the remainder when 125 is divided by 24.
5
Calculate the remainder when 302 is divided by 78.
68
Calculate the remainder when 134 is divided by 62.
10
Calculate the remainder when 1249 is divided by 139.
137
What is the remainder when 442 is divided by 68?
34
Calculate the remainder when 198 is divided by 96.
6
What is the remainder when 1469 is divided by 434?
167
Calculate the remainder when 1475 is divided by 25.
0
What is the remainder when 409 is divided by 402?
7
What is the remainder when 215 is divided by 24?
23
What is the remainder when 77 is divided by 8?
5
What is the remainder when 41 is divided by 6?
5
Calculate the remainder when 9742 is divided by 15.
7
Calculate the remainder when 527 is divided by 52.
7
Calculate the remainder when 117 is divided by 34.
15
What is the remainder when 228 is divided by 78?
72
What is the remainder when 34 is divided by 27?
7
What is the remainder when 73 is divided by 40?
33
Calculate the remainder when 1584 is divided by 526.
6
Calculate the remainder when 4152 is divided by 31.
29
What is the remainder when 362 is divided by 13?
11
Calculate the remainder when 588 is divided by 498.
90
Calculate the remainder when 16188 is divided by 22.
18
Calculate the remainder when 782 is divided by 1.
0
Calculate the remainder when 167 is divided by 78.
11
What is the remainder when 84 is divided by 63?
21
Calculate the remainder when 196 is divided by 33.
31
What is the remainder when 319 is divided by 41?
32
Calculate the remainder when 923 is divided by 25.
23
What is the remainder when 894 is divided by 13?
10
What is the remainder when 1548 is divided by 62?
60
Calculate the remainder when 2108 is divided by 57.
56
Calculate the remainder when 127 is divided by 56.
15
What is the remainder when 137 is divided by 32?
9
Calculate the remainder when 18 is divided by 9.
0
Calculate the remainder when 4798 is divided by 160.
158
What is the remainder when 27214 is divided by 17?
14
Calculate the remainder when 17 is divided by 15.
2
Calculate the remainder when 149 is divided by 81.
68
Calculate the remainder when 269 is divided by 8.
5
What is the remainder when 437 is divided by 109?
1
Calculate the remainder when 212 is divided by 98.
16
Calculate the remainder when 239 is divided by 41.
34
Calculate the remainder when 1820 is divided by 16.
12
What is the remainder when 175 is divided by 84?
7
Calculate the remainder when 34 is divided by 5.
4
What is the remainder when 36 is divided by 28?
8
What is the remainder when 21412 is divided by 86?
84
Calculate the remainder when 26 is divided by 26.
0
Calculate the remainder when 130 is divided by 19.
16
Calculate the remainder when 3024 is divided by 18.
0
Calculate the remainder when 3184 is divided by 1570.
44
Calculate the remainder when 298 is divided by 12.
10
Calculate the remainder when 692 is divide | {
"pile_set_name": "DM Mathematics"
} |
0*v = 18*v + 2. Solve -2*k + v = -1, -4*n - k = -21 for n.
5
Let j = -2 - -2. Suppose -5*p + 0*w = w, 5*p - 20 = 3*w. Let k be (3 - -1)*(-10)/(-8). Solve j = k*b + 4*a - 2, 5*b + 2 - p = -3*a for b.
-2
Suppose 2*c + 5*b = -13, -c + 2 = -4*b - 24. Let l be (-4)/6 - (-7)/(-3). Let i = c + l. Solve -2*q + 16 = -i*p - 0, -5 = q + 5*p for q.
5
Let n be 1/(-2) + (-18)/(-4). Solve -2*u = s - 4, 4*s + u + n*u - 4 = 0 for s.
-4
Let u(k) = -k**2 - 12*k - 28. Let p be u(-8). Solve 0 = -2*f + f - 2*x + 10, -f + p*x = 8 for f.
4
Let o = -41 + 43. Solve 0 - 3 = -5*h - d, 6 = -o*h - 4*d for h.
1
Let u be (-18)/(-12)*2*1. Let m(j) = 2*j - 1. Let i be m(u). Solve -i*x + 4*h = -0*h - 8, -1 = -x + h for x.
4
Suppose 9 = 2*k - 15. Let v(m) = -m**3 + m - 2. Let l be v(-2). Solve 0 = -i + 3*j + 8, l*i - 2 = -2*j - k for i.
-1
Suppose 5*a = 5*z, -5*z + 28 = 6*a - 4*a. Solve d - z*t = -2*t, 5*d + t = -22 for d.
-4
Suppose 7*k = 6*k + 3. Solve -k = -v + 2*z, 0*z - 6 = 2*z for v.
-3
Suppose -3*g = -2*b + 10, g + 4 = -g. Solve z + b = 2*f, 0 = 4*z - 0*f + 4*f - 28 for z.
4
Let s(d) = d**2 - 3*d + 3. Let m be s(3). Let a(i) = -i**3 + 4*i**2 - 3*i + 4. Let o be a(m). Solve 3*h + 1 = q + 3*q, -o*h - 2*q = 16 for h.
-3
Let z be 4 - ((-4)/(-6) - 2/(-6)). Solve s - z*y - 6 = 2, 2*y = 3*s - 10 for s.
2
Let w be (-58)/(-18) - (-4)/(-54)*3. Suppose -4*c + 0*c = 16. Let v(d) = -d**2 - 5*d - 2. Let j be v(c). Solve 5*m - 4*y - 10 = 6*m, 2*m - w*y - j = 0 for m.
-2
Let g(j) = -4*j**3 - j**2 + 3*j - 1. Let x be g(-2). Solve 0 = 4*i + h - 15, 4*i - x = 5*h - 0*h for i.
4
Let l be 6/(96/(-52) - -2). Suppose 4*z - 41 = l. Solve -z = -4*q + 4*s, -5*q + 11 = -4*s - 10 for q.
1
Let v(z) = z. Let c = -8 - -12. Let r be v(c). Let j be (10/(-4))/((-2)/r). Solve 0 = j*u + 4*s - 11 - 9, 0 = 3*u - 2*s + 10 for u.
0
Let w = -32 - -36. Solve -14 = i + 2*a, -25 = 5*i - 3*a + w*a for i.
-4
Suppose -5*l - 5*i - 2 = 3, 2 = -i. Let k = l + 4. Suppose -2*j + g = -6*j + 9, 4*g + 27 = k*j. Solve 0 = 2*r - 3*f + j, 4*r + 5 = -2*f + 7*f for r.
0
Suppose 3*f - 24 = 4*v, 4*v = 5*f + 3*v - 23. Let z be (1 - f) + (19 - 0). Suppose m + z = 4*u - 8, 2*u - 12 = -4*m. Solve 0 = o - 1, -x + u*o - 5 = 3*o for x.
-2
Suppose 0 = -4*x + b + 367, -5*x - 3*b + 125 = -355. Suppose -4*w = -5*z - x, 4*z + z = w - 42. Solve -5*r - w = 5*y - r, -4*r = 3*y + 15 for y.
-1
Suppose a = -2*r + 7, 4 = 3*a + a. Let p = -43 - -45. Solve -t = p*f - 6, 3*t + 4 + r = -f for f.
5
Let b(x) = 0*x - x - x**2 + 6 - x**3 - 3. Let f be b(0). Solve -4*r = -5*t + 12, f*t = 3*r - 4*r - 3 for t.
0
Suppose -5*t = -r - 6, t = r - 6*r + 22. Let o(u) = -u**2 - 10*u - 5. Let v be o(-4). Suppose -6*w + 55 = v. Solve -3*y - w = d - 3*d, t*d = y - 2 for y.
-4
Let q be 24/4 - (1 + -3). Suppose -10*t + q*t = -8. Solve 0 = -4*a - 3*f, 3*f + 28 = t*a - f for a.
3
Suppose -4*q + 18 = 2*h, 2*h - 10 - 2 = -2*q. Solve -r - 6*b = -5*b + h, -4*r + 2*b = 0 for r.
-1
Let b(h) = -h**3 - 11*h**2 + 11*h - 7. Let w be b(-12). Let g = 43 - 13. Suppose -3*o + g = -o. Solve -3*f + 7 = -w*a - 10, -3*a = -3*f + o for a.
-1
Let r be (-2)/((-2)/(-3)) + 17. Solve 3*f - 3*i = -4*i - r, -4*f - 14 = -i for f.
-4
Suppose 7 = -3*s - l, s + 0 + 13 = -3*l. Let z = s + 1. Let o be 1/(1 - 2)*z. Solve 4*x = 3*u - 16, -3*x - 12 = -4*u - o*u for u.
0
Let b = -21 + 45. Suppose 95 = 4*g + 3*o, -b - 1 = -5*o. Solve -5*p = -3*n - 26, 3*p + p - g = 2*n for p.
4
Suppose -10 + 0 = -5*o. Suppose 0 = 2*b - 4*b. Solve 2*d = -o*z - 20, -z + b*d + 5 = -2*d for z.
-5
Let d = -6 - -12. Suppose -5*v + d = -4. Suppose 5*z + 2*u = v*z + 10, z + u = 5. Solve 5*s - 16 + 5 = j, -5*j - 5*s + 5 = z for j.
-1
Let w be (-2)/(-20)*-4*-10. Suppose w*m - 1 = -3*j, -2*m + 0*m - j = -3. Solve 0 = -5*v + 5, m*q + 2*v + 0 = -14 for q.
-4
Suppose -7*u + 36 = -3*u. Let o = -15 + u. Let v = 8 + o. Solve -4*x = 3 + 13, v*f - 5*x - 12 = 0 for f.
-4
Let v = 2 - -3. Let p(z) = z**2 - z. Let l be p(v). Solve l = -4*r + 5*i - i, 3*i = 9 for r.
-2
Suppose -3 - 9 = -2*j - 2*l, l - 50 = -5*j. Solve -4*z + j = -3*d, -5*z + 3*z + 7 = -d for z.
5
Let q be (5/(-15))/(1/(-30)). Suppose -5*o - 3*l = -11, -o + 17 = o - 3*l. Solve o*s - 13 = 3*j, -5*s - q = 2*j + 3*j for j.
-3
Let j(h) = h**3 - 4*h**2 - 13*h + 9. Let x be j(6). Solve 4*l - d = -l - 27, -x*l - 9 = 3*d for l.
-5
Let c = 2 - 0. Suppose 3*h - 8 = 7. Solve c*q + 7*b = 3*b - 16, -10 = h*b for q.
-4
Suppose -3*m - 2*p = -p - 59, -p = -3*m + 49. Solve v + 4*s - m = 6*v, -2*s + 2 = v for v.
-2
Suppose 7 = 3*t - 8. Solve 2*c + 5*n - n = 6, 0 = -t*c - 3*n - 6 for c.
-3
Let h(r) = -r - 4. Let l be h(-4). Let g be (2 - -4)/((-4)/(-2)). Let w = 7 - g. Solve -2*t - 3 + 0 = i, -w*i + 4*t + 24 = l for i.
3
Let z be (-2)/(0 - 6/57). Solve w - b + 6*b = -z, 3*w - 3*b + 3 = 0 for w.
-4
Let u be (6/9)/(6/90). Suppose 0*i + 3 = i. Solve 4*m - m = -2*v - 13, i*m + 5*v = -u for m.
-5
Suppose -6*a + 3*a - 2 = 5*q, -4*q - 4*a = 8. Let c = -7 - -12. Solve -n + z - 3 = 0, -c*n = z - 7 - q for n.
1
Suppose -3*y + 14 = 2*w + 3*w, -w - 5*y - 6 = 0. Solve 0 = -3*g + 2 + 1, 5*v + 4*g = w for v.
0
Suppose 3*x - 6 = 6. Solve 0 = -4*u + 7*u - 6, x*u - 8 = -5*p for p.
0
Let k(p) = 3*p. Suppose -4*c - 13 = -l - 4*l, -2*c = 2*l + 2. Let o be k(l). Solve -8 = 4*x - r, 4*r = -x + 3*r + o for x.
-1
Let m(c) = c**2 + 2*c - 2. Let h be m(2). Let a be (-3)/((-36)/(-16))*-3. Solve -a*v + 3*g - h*g = 5, v + 3*g = -8 for v.
1
Let j be 2/(-9) - (-8)/36. Suppose 15 = 5*q - r, 2*q + j*r + 3*r - 6 = 0. Solve 0 = q*m - 5*h, h - 3*h = -3*m for m.
0
Suppose 3*a - 22 = -r - 3*r, 4*r = -5*a + 26. Solve -22 = -4*h - 5*k, -a*k - 3 = -4*h + 5 for h.
3
Let a(h) = -h + 1. Let x be a(0). Solve -3*z + 7 = v, -2*v + x = 4*z + v for z.
4
Let n(u) = -u**2 + 6*u. Let f = 5 - 22. Let x = -12 - f. Let y be n(x). Solve -3*g - y*p - 34 = 6, p = g for g.
-5
Let g be 6 + (-3 + 6)*-1. Suppose 0*t + 4*r = 4*t - 60, -4*r - 79 = -5*t. Solve -4*s = -2*q + s - t, 0 = -2*q - g*s + 5 for q.
-2
Suppose 4*y - 19 - 29 = 0. Solve -3*d + 4*g = 8, y + 2 = d + 2*g for d.
4
Let b = 19 + -16. Let q be (3 - b) + (-7)/(-1). Solve 3*j + 5*h + 1 = q, -j - h = -2 for j.
2
Let x = 60 - 42. Let y = x - 10. Solve j = -5*r - 21, -3*j + y = 2*r + 19 for j.
-1
Let f = -5 - -4. Let d = 4 + f. Let o be (d/(-9))/(2/(-30)). Solve -2*b - 7 - 9 = -o*a, -2*a = -2*b - 10 for b.
-3
Let n(w) = 3*w**2 - 3*w + 5. Let r(s) = -2*s + s**2 + 8 - 6 + s. Let p(t) = 3*n(t) - 8*r(t). Let h be p(-1). Solve -z = x - 6, 2*x - 2*z + h = -3 for x.
2
Let y(j) = -j**3 + 11*j**2 - 8*j - 12. Let x be y(10). Solve 0 = -3*r + 9, -3*o + x*o = 5*r for o.
3
Let y(a) = a + 45. Let g be y(0). Suppose 0 = -5*v - 5*x + 60 + g, -5*v + 81 = -3*x. Solve -5*t = -3*f - 34, 2*f - 2 = 2*t - v for f.
-3
Let f = 28 - -2. Let d be ((-2)/(-6))/(2/f). Solve g - d*t + 1 = -3*g, 2 = 2*t for g.
1
Suppose 7 - 31 = -3*k. Suppose 3*l = k*l - 10. Solve -3*y = -4*c - l, -3*y - 5*c - 5 = 11 for y.
-2
Suppose 3*y + 42 + 114 = 0. Let b be 2/3 + y/(-12). Solve h = -2*p, p - 8 = -b*h + 1 for p.
-1
Let h(n) = n**3 - 2*n + 7*n - n - 6*n**2 - 3 + 10. Let y be h(5). Solve -2*t - 1 - 3 = -w, -2*w - 16 = y*t for t.
-4
Let s(x) = 3*x**3 - x**2 - x + 1. Let t be s(1). Let k be t - (-4 + (-2)/1). Suppose -4 = -4*a + k. Solve 5*p - 5 = -3*u - 2*u, 3*p + 3 = a*u for u.
1
Let u be (56/(-20))/((-1)/5). Let l = -10 + u. Suppose 10 = i - l. Solve -5*j + i + 8 = k, -5 = -4*j - 5*k for j.
5
Let d = 7 + -3. Let g be (1*-9)/(-3) + 7. Solve 0 = d*t, 0 = -0*h + 5*h + 4*t + g for h.
-2
Let f = -53 - -55. Let v(w) = -24*w. Let j be v(-1). Solve -2*i = 5*s - j, -9 + 1 = -f*s for i.
2
Suppose 0 = 2*o + 2*o + 3*o. Solve -3*q = -o*q - 4*v - 15, 2*v = 0 for q.
5
Let p = 22 - 19. Let u = 22 + -15. Solve p*j + 34 = -5*z, z + 0*j = 4*j + u for z.
-5
Let i be 2*2 - (-7 + (-35)/(-5)). Solve 0 = -i*f - 5*m + 1 - 4, 0 = -4*f - 3*m + 3 for f.
3
Suppose h = 3*h - 6. Suppose -4*u - h = -5*u. Solve 5*d = -u*k + 9, -k = -2*k + 5*d - 17 for k.
-2
Suppose -5*t - 2*h = -25, 4*h = 2*t - 3*t + 23. Suppose v = -2*j + 4*v + 25, -v + 1 = 0. Solve j = -5*n + t*n + 4*c, 0 = -4*n + 5*c - 25 for n.
-5
Suppose -4*t = -3*t - 2. Let f be (1/(-3))/(t/(-6)). Solve -v + f = r, 0*v = -v + r + 5 for v.
3
Let j be 7*((-115)/35 + 4). Solve 0 = -z - d, -2*d = 3*z - j*d for z.
0
Let r(k) = k + | {
"pile_set_name": "DM Mathematics"
} |
*2 + 26*h - 6*h**2 - 32*h as z*h**2 + s + d*h and give z.
-32
Rearrange (-66*w + 17 - 73*w + 140*w)*(w + 6*w - 6*w) to y*w**2 + j*w + x and give y.
1
Rearrange -285*b - 251 + 2*b**2 + 134*b + 151*b to c*b**2 + i*b + l and give c.
2
Express -11 + 353*j - 355*j - 125*j**2 + 1 in the form b + y*j + l*j**2 and give y.
-2
Express (53 - 84 - 93)*((0 + 2 - 3)*(-2*w - 3*w + 2*w) + 2*w + 2*w - 3*w) in the form n + o*w and give o.
-496
Express ((-5 - 1 + 4)*(0*w + 6*w - 3*w) + (w + w + 0*w)*(3 - 5 - 1))*(14 + 4*w - 14) in the form i + r*w + l*w**2 and give l.
-48
Express 39*f - 12*f - 11*f - 9*f - 13*f + 38 in the form x + w*f and give x.
38
Rearrange (0*g + 23*g - 2*g)*(3*g - 12*g + 0*g) - 1 + 1 + g**2 to q*g + o*g**2 + l and give o.
-188
Rearrange -297*n - 98*n + 63*n to the form i*n + k and give i.
-332
Rearrange (-5*n**3 + 2*n**3 + 4*n**3)*(1196*n - 31*n - 185*n + 443*n + 404*n) to the form t*n**2 + u*n**4 + y*n + a*n**3 + i and give u.
1827
Express (7 - 7 + 4*v - 3*v**2 - 1)*(-1454*v**2 + 980*v**2 + 934*v**2) as k + c*v**4 + u*v**2 + m*v**3 + p*v and give m.
1840
Express -8*n + 4*n + n + (1 - 9 + 2)*(3 - 3 - n) as y + t*n and give t.
3
Express -48 + 22 - 219*m + 25 in the form v*m + z and give v.
-219
Rearrange -m + 173*m**3 - 325*m**2 + 171*m**2 + 154*m**2 to the form u*m + z + i*m**2 + p*m**3 and give u.
-1
Rearrange 17*z - 10*z**3 + 12*z - 9*z**3 + 4*z - 7*z to s*z**3 + r*z**2 + k + m*z and give s.
-19
Rearrange -2 - 1 + 209*j + 1 + 0 + 329*j to z*j + k and give k.
-2
Express -61*d**2 + 112*d**2 - 29*d - 53*d**2 - 55*d + 2*d**3 - d as h*d**2 + v + y*d**3 + z*d and give z.
-85
Express (4*g**2 + 6*g**2 - 6*g**2)*(1 - g + 0 + 0 + (1 - 1 + 2)*(-3*g - g + 5*g) + 4*g - 4 + 4) in the form b*g**2 + q + x*g**3 + r*g and give x.
20
Rearrange 1473*y + 571*y - 57*y + (-2*y + 6*y - 3*y)*(1 + 3 - 3) to the form z*y + o and give z.
1988
Express -27*k**3 - k**3 - 8*k**3 + (-5*k + 0*k + 4*k)*(-1 + 1 - k**2) + 0*k**3 + 0*k**3 + 3*k**3 as f*k**2 + d*k + r + q*k**3 and give q.
-32
Rearrange (4*i - 2*i**3 - 4*i)*(-3 - i + 3) + (-3*i + 1 - 1)*(-2*i**3 - 175 + 178 + 5*i**2 - 17*i**2) to t + d*i + z*i**4 + c*i**2 + n*i**3 and give z.
8
Rearrange -3 + 3*j - 5*j + 1 + (-3 + 2 + 0)*(20*j - 92*j - 136*j) to the form n*j + y and give n.
206
Express -29 - 44 + 72 + 87*r**2 in the form s*r + u + z*r**2 and give u.
-1
Express -a**2 - 13*a**3 - 2*a**3 - 2*a**4 + 15*a**3 - 125 as g*a**3 + z*a + q*a**4 + l*a**2 + j and give l.
-1
Express 0*i - 2*i + 4*i + (-1 - 3 + 6)*(i - 3*i + 4*i) + (-39 + 4 + 2)*(4*i - 6*i + 7*i) in the form s*i + x and give s.
-159
Express (4 - 2 - 4)*(-4*c + c + 2*c) + 13861 - 898*c - 13861 in the form l*c + d and give l.
-896
Rearrange -2*p**4 + 8*p**2 + 13*p**3 + 3*p**4 + 0*p**4 + 11*p - 2 - 12*p - 3*p to the form v*p + u + t*p**2 + z*p**4 + g*p**3 and give g.
13
Express -6 + 3 + 20*a**2 + 22*a**2 - 2*a - 78*a**2 - 105*a**2 in the form x*a**2 + g + m*a and give g.
-3
Rearrange -189*o - 35 + 77 - 40 to x*o + p and give p.
2
Express -f**2 + 2*f**2 - 3*f**2 - 3*f**2 + 3*f**2 - f**2 + (2*f**2 - f + f)*(-1 + 2 + 0) - 2*f**2 - f**2 + 2*f**2 as q + l*f + h*f**2 and give h.
-2
Rearrange -161*v**2 - 9*v**2 + 26*v**2 + (3 - 3 - v)*(1 - 1 + v) - v**2 + 0*v + 0*v - 2 + 3*v**2 + 2 to t*v + h*v**2 + d and give d.
0
Rearrange -50*n**2 + 2*n**4 + 1 - 50*n**2 + 3*n**4 + 102*n**2 - 4*n**4 + 16*n**3 to p*n + y*n**2 + z*n**3 + q + l*n**4 and give q.
1
Rearrange (-1 + 1 + 2*a)*(1 - 2 + 3)*(1 + 7 - 2) to z + o*a and give o.
24
Express (-22 + 54 - 2*t - 29)*(-1 + 0 - 13) + 2*t + 2 - 2 in the form q*t + j and give j.
-42
Express 111*d**3 - 184*d**3 - 4 + 3 + d**2 - 2 as k*d**3 + q + j*d + f*d**2 and give k.
-73
Rearrange (-2 + 1 + 0)*(0*t**3 + t**3 + t**3) + (18*t**3 - 83*t**3 - 15*t**3)*(-3 - 2 + 2) to the form h*t + z*t**3 + c + k*t**2 and give k.
0
Express -30*y - 153*y + 34*y + 2 + (-2*y + 2*y + y)*(-5 + 4 - 1) + 2 - 2*y - 2 + y - y - y + y + y + 0*y + 2*y + 2 - 2 in the form q*y + f and give q.
-150
Express (-5 + 5 - 1)*(24*a - 23 + 23 + 3)*(5 + 4 + 2) in the form z + q*a and give z.
-33
Rearrange (35*j**2 - 2*j**4 - 105*j**2 - 82*j**2)*(4 - 3 + 0)*(-2 + 0 + 3) to the form s*j**3 + p*j + x*j**4 + h*j**2 + u and give x.
-2
Express -12548*c**2 + 6833*c**2 + 6380*c**2 as q*c + j*c**2 + k and give j.
665
Rearrange -13 - 95*n + 105 - 94 - 2*n**2 to v*n**2 + b + r*n and give b.
-2
Express 22 + 19 - p**3 - 59 - p + 22 as b*p**3 + x*p + r + q*p**2 and give x.
-1
Express (-3 + 3 - s**2)*(-385*s**2 - 108*s**2 + 56*s**2) as j*s**3 + t*s**2 + g*s**4 + m + v*s and give g.
437
Rearrange 147*f**3 + 2*f + f**4 + 9*f - 148*f**3 to v*f**4 + i*f**3 + q + a*f + n*f**2 and give q.
0
Rearrange 4*s - 14*s**3 + 16*s**3 - 2 + s**3 + 2*s**2 + 0*s + 7*s**4 to x*s**4 + b*s + i*s**3 + q + o*s**2 and give o.
2
Express -6*v + 4*v + v + (3 - 3 - 3*v)*(-36 + 17 + 28)*(2 - 2 + 2) - 2*v + 12*v - 3*v as b + g*v and give g.
-48
Express -3*t + 27 + 27*t - 13*t + 7*t in the form f*t + j and give f.
18
Rearrange -28*h**3 - 76*h**2 - h + 1 + 29*h**3 + h + 66*h**2 to y*h**2 + v + w*h**3 + n*h and give w.
1
Rearrange -2*m**2 + 7 + m - 12 + 115 + 99 + 128 to x*m**2 + s*m + i and give x.
-2
Express 26*y - 28*y - 7*y**3 - 7*y**2 + y**2 - 5*y**2 + 8*y**2 as o*y**3 + i*y + t + h*y**2 and give o.
-7
Express 29*s**2 - 10*s**2 + 7*s**2 as j*s**2 + l + p*s and give j.
26
Rearrange -52*h - 52*h - h**4 - 2*h**3 + 9 + 103*h + h**2 to i*h**4 + l*h**3 + n*h**2 + z*h + k and give l.
-2
Express -287*y - 238*y + 164*y - 935*y - 78*y in the form u + o*y and give o.
-1374
Express -10*d + 2 - 2 + (7 - 31 + 7)*(-2*d + 3*d - 5*d) in the form k*d + u and give k.
58
Express 12*p - 11*p - p**4 - 83*p**2 - 306*p**2 as a*p**4 + o*p**2 + l + t*p**3 + r*p and give a.
-1
Rearrange -160*i**2 - 160*i**2 - 165*i**2 + 488*i**2 + 475*i - 1 to h*i + v*i**2 + a and give h.
475
Express 2 - q**2 + 232*q**3 - 2*q - 130*q**3 - 116*q**3 + 0*q as x*q + f + h*q**3 + w*q**2 and give h.
-14
Rearrange 26*c**2 - 59*c**3 - 11*c**2 - 10*c**3 + 2*c - 13*c**2 to a + w*c**2 + b*c + q*c**3 and give w.
2
Express 22*o + 2*o**2 - 18*o**4 - 4*o - 5*o - 90*o**3 - 2 - 10*o + 16*o**4 in the form j + t*o**4 + u*o + p*o**3 + w*o**2 and give t.
-2
Rearrange 6*u**2 - 4*u**2 + 4*u**2 + (5*u**2 - 2*u**2 - 2*u**2)*(1 - 2 - 1) - 5*u**2 - 3 - u**2 + 24*u**2 to the form v*u + z*u**2 + x and give x.
-3
Rearrange 2*r - 33 + 11*r**3 + 51 - 13 to j*r + c*r**3 + p*r**2 + i and give j.
2
Rearrange 30 + b**2 + 3 + 4*b**2 - 3*b**2 + 12 to w*b + k*b**2 + l and give k.
2
Express 3*d - 2*d - d**2 + 3*d**4 + 0*d - 2*d**3 - 5*d + 2 as j + c*d**2 + y*d**3 + z*d**4 + i*d and give y.
-2
Rearrange 226*a + 87*a - 27*a - 19*a + (0 - 4 + 3)*(-4 + 4 - 2*a) to o + x*a and give x.
269
Rearrange (-13*s + 1089*s - 168*s)*(-2*s + 0 + 0)*(-1 + 1 + 2*s**2) to the form f + c*s**4 + d*s**3 + k*s**2 + y*s and give c.
-3632
Express -197*v + 46*v + 2 - 2 + 389*v as z + h*v and give h.
238
Express 38*s**3 + 9 - s - 35 + 18 + 11 as w + a*s**2 + o*s**3 + b*s and give b.
-1
Rearrange (1 + 0 + 2)*(0*b - 2 + b + 0)*((4 - 6 + 0)*(0 + 3 - 1) + 20 - 27 - 28 - 2 - 1 + 2 + (-3 - 1 + 2)*(-4 + 1 - 2)) to the form g*b + f and give g.
-90
Express -379*a - 1 - 322*a + 269*a as l*a + g and give g.
-1
Express (-2*m - 90 + 90)*(-92*m**2 - 86*m**2 + 162*m**2 - 2) in the form n*m + j*m**2 + g*m**3 + p and give n.
4
Rearrange -21 - 59 + 80 + q + 10*q**2 to b + d*q + t*q**2 and give d.
1
Express 10*s**3 - 3*s - 45*s**2 - 8*s**3 - 3*s + 1 + 5*s as v*s + x*s**2 + d + b*s**3 and give b.
2
Rearrange 16 + 70*b + 165*b - 16 to the form i + m*b and give m.
235
Express (-2*f + f + 0*f)*(-1 - 2 + 2 + (-1 + 2 + 0)*(-1 - 1 + 0) + 7 - 15 - 78) as z + h*f and give h.
89
Rearrange -2 - 26*k + 0 - 63*k + 1 to n + m*k and give n.
-1
Express -641587 - 455*u + 641587 as k*u + c and give k.
-455
Rearrange (-1998 + 28*t**3 + 1998)*(-2*t + t + 0*t) + (-5*t**2 + 2*t**2 + 2*t**2)*(-3*t**2 - t + t) to the form h*t**3 + l*t + o*t**2 + f + q*t**4 and give q.
-25
Rearrange (-6*x**4 + 7*x**4 - 4*x**4)*(11 - 2 - 4 + 8) to o*x**4 + y*x + c + r*x**2 + j*x**3 and give o.
-39
Rearrange -18*w**2 - 2474*w + 4941*w - 2465*w to y + j*w**2 + c*w and give j.
-18
Rearrange -20 + 7 + 1 - 721*o + 11 + (-2 - 4 + 4)*(5*o - 5*o + 2*o) to n*o + l and give l.
-1
Express -14*l**3 - | {
"pile_set_name": "DM Mathematics"
} |
**2 + k. Let j(u) = -4*u**2 - 5*u. Let i(x) = 5*a(x) + j(x). Let m(c) be the first derivative of 0*c**2 + 0*c + 33 - 2/3*c**3. Determine i(m(n)).
4*n**4
Let t(f) = -2*f. Let v(z) be the second derivative of z**3/6 + 7*z**2/2 + 8*z. Determine t(v(i)).
-2*i - 14
Let w(c) = 1436*c**2. Let g(l) = 17*l**2. Give g(w(s)).
35055632*s**4
Let g(j) = -16950*j. Let k(p) = -2*p. Calculate k(g(r)).
33900*r
Let o(n) be the second derivative of 23*n**3/6 + 113*n + 1. Let d(a) = 4*a. Calculate d(o(f)).
92*f
Let i(q) = -19*q**2. Let v(g) = -5*g - 27. Let f(l) = -11*l - 45. Let k(d) = 3*f(d) - 5*v(d). Give i(k(n)).
-1216*n**2
Let t(p) = -107*p**2. Let v(w) = 205 - 104 - 3*w + 5*w - 101. Calculate t(v(c)).
-428*c**2
Let r(p) = 3*p + 2 - 2. Let y(d) be the second derivative of 1/2*d**3 - 31*d + 0*d**2 + 0. What is y(r(j))?
9*j
Let s(o) = 5*o**2. Let b be -1 + 5 - (-3)/3. Let n(k) = -k**2 + 7*k - 8. Let l be n(b). Let a(d) = -d - 123 + l*d + 123. What is a(s(u))?
5*u**2
Let c(d) be the second derivative of 0 + 4*d + 0*d**2 + 1/12*d**4 + 0*d**3. Let h(y) = -6*y**2. Calculate c(h(g)).
36*g**4
Let u(r) = r**2. Let d(v) = 28027*v. Determine d(u(q)).
28027*q**2
Let c(z) = -6046*z. Let k(d) = 3*d - 256. Calculate k(c(y)).
-18138*y - 256
Let c(h) = 7*h**2. Let n(y) = 6*y**2. Let t(s) = 5*c(s) - 6*n(s). Let j(u) = 24*u**2 + 72*u - 130*u + 58*u. What is j(t(v))?
24*v**4
Let s(z) = -z**2 - 29*z. Let y(x) = 66*x - 72*x - 3 + 3. Calculate y(s(i)).
6*i**2 + 174*i
Let q(r) = 4*r**2 + 3*r**2 + 0*r + 3*r + 0*r - 4*r**2. Let w(i) = 8*i**2. Calculate w(q(a)).
72*a**4 + 144*a**3 + 72*a**2
Let z(u) = -51219*u**2 - 1. Let w(o) = 6*o. Give w(z(p)).
-307314*p**2 - 6
Let i be 3*(-6 + 2)/(-4). Let j(t) = -3*t + 4*t - i*t - 4*t. Let g(k) = -4*k. What is g(j(b))?
24*b
Let y(f) = -221*f**2. Let u(b) = -b**2 + 66. Give u(y(w)).
-48841*w**4 + 66
Let u(m) = m**2. Let i(y) be the second derivative of 2*y**5/5 + 7*y**2/2 - 43*y. Let z(n) be the first derivative of i(n). Determine u(z(s)).
576*s**4
Let u(c) = -6*c**2 + 21*c - 84. Let w(z) = -z**2 + 4*z - 16. Let y(o) = 4*u(o) - 21*w(o). Let j(f) = -55*f**2 - 1. Calculate y(j(b)).
-9075*b**4 - 330*b**2 - 3
Let v(a) = -24*a + 24*a - 20*a**2 + 18*a**2. Let m(t) be the first derivative of 22*t**2 - 2. What is m(v(o))?
-88*o**2
Let o(r) = -21*r**2. Let d(z) = 19*z - 76. What is o(d(f))?
-7581*f**2 + 60648*f - 121296
Let v(l) = 39*l + 2 - 7 - 4 - 2. Let g(y) = -8*y + 2. Let n(z) = 33*g(z) + 6*v(z). Let f(s) = s**2. Determine f(n(h)).
900*h**2
Let q(r) = 5*r. Let u(f) = f**2 + 6056. Calculate u(q(w)).
25*w**2 + 6056
Let o(s) be the first derivative of 9*s**2 - 5. Let z(n) = -n**2. What is z(o(m))?
-324*m**2
Let a(x) = 27*x. Let p(y) = -y + 7424. What is a(p(i))?
-27*i + 200448
Let b(p) = p**2. Let m(c) = -8*c + 73*c + 33*c. Calculate m(b(v)).
98*v**2
Let x(l) = -14*l + 3. Let d(o) = 76*o - 16. Let v(k) = -3*d(k) - 16*x(k). Let r(u) = -27*u. Determine v(r(p)).
108*p
Let b(o) = 19 - 19 + 3*o - 9*o. Let a(i) = i + 8. Let w(u) = 5. Let j(m) = -36. Let n(z) = -2*j(z) - 15*w(z). Let c(d) = -3*a(d) - 8*n(d). Give c(b(f)).
18*f
Let t(q) = -20*q - 34. Let f(g) = -7*g - 12. Let l(j) = -17*f(j) + 6*t(j). Let p(z) = -2 + 0*z**2 + 2 - 2*z**2. What is l(p(d))?
2*d**2
Let t(x) be the first derivative of -x**2 - 90. Let j(n) = -47*n. What is j(t(s))?
94*s
Let u(l) = 2*l - 157. Let r(f) = 49*f**2 + 31. Determine u(r(k)).
98*k**2 - 95
Let y(p) = -4*p**2. Let i(a) = -8*a**2. Let q(o) = -31*o**2. Let z(d) = -9*i(d) + 2*q(d). Determine z(y(h)).
160*h**4
Let p(u) = 26899*u**2. Let j(d) = d**2. What is p(j(l))?
26899*l**4
Let x(k) be the second derivative of 0*k**3 + 1/6*k**4 + 0*k**2 + 0 + k. Let y(m) = -4*m**2 - 1. Calculate x(y(u)).
32*u**4 + 16*u**2 + 2
Let o(v) = -5505317*v**2. Let f(l) = l. What is o(f(t))?
-5505317*t**2
Let a(n) = -13*n + 5. Let g(t) = -10*t + 9. Let q(x) = -x - 1. Let i(u) = g(u) + 3*q(u). Let v(k) = 6*a(k) - 5*i(k). Let d(r) = -r**2. Determine d(v(j)).
-169*j**2
Let y(h) = 6*h**2. Let t(g) = -16550*g. Determine y(t(f)).
1643415000*f**2
Suppose f = 3*f - 76. Suppose -25*o + 10 = -20*o. Let l(n) = -n**o + 38*n - f*n. Let t(g) = -2*g**2. Give t(l(h)).
-2*h**4
Let c(x) = -4*x. Let r(m) = -2455*m**2 + 2*m. What is r(c(b))?
-39280*b**2 - 8*b
Let n(w) = -2*w + 430. Let l(p) = 22*p. Determine l(n(t)).
-44*t + 9460
Let m(s) = -2926*s. Let f(d) = 126*d**2 - 1. Give f(m(j)).
1078745976*j**2 - 1
Let l(g) be the third derivative of -g**5/60 - 193*g**2. Let f(d) be the third derivative of -7/60*d**5 + d**2 + 0*d + 0 + 0*d**3 + 0*d**4. What is f(l(k))?
-7*k**4
Suppose 27*f - 32 = 23*f. Let v(a) = -2*a**2 + 29 + f + 5. Let s(q) = -q**2. Calculate v(s(l)).
-2*l**4 + 42
Let d(n) = n**3 - 2*n - 1. Let v be d(2). Let s(c) = 12*c + v*c - 19*c + 5*c. Let w(q) = -12*q. Determine w(s(y)).
-12*y
Let n(o) = 0*o**2 - 2*o**2 + o**2. Let w(a) be the first derivative of 0*a**2 + 0*a + 1/3*a**3 - 2. Give n(w(q)).
-q**4
Let m(z) = -415*z. Let x(o) = o**2 + 15*o - 65. Calculate x(m(f)).
172225*f**2 - 6225*f - 65
Let b(k) = -k**2 + 37. Let m(r) = 120*r**2. What is b(m(f))?
-14400*f**4 + 37
Let t(o) = -13*o**2 + 4*o**2 + 2*o**2 + 0*o**2 - 3*o**2. Let z(a) = -21*a. Give t(z(u)).
-4410*u**2
Let m(b) be the second derivative of 179*b**3/6 - b**2/2 - 461*b. Let j(d) = -d**2. Give m(j(w)).
-179*w**2 - 1
Let o(r) = -2*r - 529. Let t(p) = 141*p - 1. Calculate t(o(v)).
-282*v - 74590
Let p = -305 + 308. Let d(g) be the third derivative of -8*g**2 + 0 + 0*g**4 + 1/60*g**5 + 0*g + 0*g**p. Let m(n) = 3*n. What is m(d(a))?
3*a**2
Let j = 45 + -39. Let a(u) = -j*u**2 + u**2 + 3*u**2 + 3*u**2. Let w(i) = -10*i**2. Determine w(a(d)).
-10*d**4
Let b(f) = -4*f. Let c(q) be the second derivative of -13*q**4/12 - 31*q - 2. Calculate b(c(t)).
52*t**2
Let a(y) = -4633*y. Let v(i) = 317*i**2. Give v(a(x)).
6804306413*x**2
Let y(f) = f. Let p(h) = 17828*h. What is p(y(q))?
17828*q
Suppose -3*n - o + 52 = -5*o, 0 = 3*n + 4*o - 20. Let f(a) = 14*a - 5 - n*a + 5. Let d(z) = -z. Give f(d(q)).
-2*q
Let a(p) = -6*p. Let o(z) = -52*z + 173*z + 48*z - 30*z - 11*z. What is o(a(m))?
-768*m
Let p(r) = 14*r. Let d(f) be the third derivative of -7*f**2 + 0 + 0*f - 1/8*f**4 + 0*f**3. Determine d(p(g)).
-42*g
Let o(b) = -44*b. Let j(w) = -1100*w**2. What is j(o(k))?
-2129600*k**2
Let x(c) be the third derivative of 0*c**3 - 1/24*c**4 + 0*c + 14*c**2 + 0. Let n(w) = -2*w**2. What is x(n(y))?
2*y**2
Let t(o) = -5*o**2. Let r be 4/(-1) - (-4 - 3). Let v(k) be the second derivative of 0 - 1/3*k**r + 0*k**2 + k. Determine t(v(s)).
-20*s**2
Let s(a) = -109739*a**2. Let v(n) = 6*n**2. What is s(v(w))?
-3950604*w**4
Let x(c) = c**2. Let d = 53 - 47. Let v(b) = -4*b - 11*b - 3*b - d*b. Calculate x(v(j)).
576*j**2
Let s(l) = -3*l. Let y(q) = 3*q**2 - q + 1. Let j(u) = -125*u**2 - 4*u + 4. Let t(g) = -j(g) + 4*y(g). Give s(t(h)).
-411*h**2
Let k(c) = -1367*c**2 + 2. Let x(z) = -16*z. Give x(k(v)).
21872*v**2 - 32
Let s(n) = -2*n. Let c = -110 - -111. Let t(m) = 1. Let i(b) be the second derivative of -b**3/6 - 3*b**2 + b. Let x(r) = c*i(r) + 6*t(r). Determine s(x(j)).
2*j
Let o(i) = 7*i**2. Let m(r) = -8*r**2 - 5*r - 5. Let u(k) = -6*k**2 - 4*k - 4. Let c(x) = 4*m(x) - 5*u(x). Calculate c(o(w)).
-98*w**4
Let u(b) = -20*b**2. Let k(i) = -3574*i + 2. Give k(u(v)).
71480*v**2 + 2
Let q(j) be the second derivative of 0 + 0*j**2 - 19/3*j**3 + 25*j. Let x(i) = 2*i**2. What is x(q(z))?
2888*z**2
Let a(p) = -2*p**2 + 3. Let v(n) = -n**2 + 1. Suppose 4*q + u = 4*u - 24, -4*q + 4 = 4*u. Let j(l) = q*v(l) + a(l). Let h(x) = 3*x. Determine h(j(d)).
3*d**2
Let q(c) be the second derivative of -c**3/6 - 20*c - 13. Let s(w) = -329*w**2. Give s(q(t)).
-329*t**2
Let v(i) = 264*i. Let j(b) = 57*b + 180. Let y(c) = 8*c + 25. Let s(x) = 5*j(x) - 36*y(x). Give s(v(o)).
-792*o
Let r(c) = 6*c. Let k(h) = -696*h**2 - 576*h. Let p(l) = -24*l**2 - 20*l. Let d(f) = 5*k(f) - 144*p(f). Calculate d(r(s)).
-864*s**2
Let p(f) = 294*f**2. Let n(r) = 222 - r**2 - 222. Give p(n(c)).
294*c**4
Let b(o) = -2*o - 5. Let v(i) = -134*i. Determine b(v(n)).
268*n - 5
Suppose -z + 16 = 2*f, 26 = 2*z - 4*f - 22. Let c(d) = -6*d + 6*d + z*d**2. Let h(s) = s**2. What is h(c(p))?
400*p**4
Let c(o) = -11*o - 20. Let i(z) = -2*z - 5. Let y(n) = -c(n) + 4*i(n). Let x(m) = 431*m. | {
"pile_set_name": "DM Mathematics"
} |
02)/14 composite?
False
Let n be 2 - (1 + -1)/2. Suppose -s = i - 115, -n*s + 4*i + 71 = -183. Is s prime?
False
Suppose -5*f = -1035 - 1190. Let o = f - 38. Is o composite?
True
Suppose -30 = z - 6*z. Suppose z*d - 110 = d. Is d prime?
False
Suppose 126 = -t - 18. Suppose -1248 = -7*s + 299. Let j = s + t. Is j a composite number?
True
Let m(i) = -i**3 + 3*i. Let a be m(-4). Suppose 0 = -u + 4 + a. Suppose -5*x = 1 - u. Is x a prime number?
True
Let f = -4296 - -8263. Is f composite?
False
Let s(i) = 2*i**2 - 8*i + 9. Is s(7) composite?
True
Let r = 8 - 6. Suppose -3*j + 610 = r*j. Is j prime?
False
Suppose -5*z + 0*z = 20. Let q be z/6*-3 - -4. Is (1 + (-26)/q)*-3 composite?
True
Let a(t) be the second derivative of t**5/60 + t**4/8 + 11*t**3/6 - t**2 + 3*t. Let q(i) be the first derivative of a(i). Is q(-8) a prime number?
False
Let h(k) = k**2 - 1 + 3*k + 4 + 2 + 0*k**2. Is h(-9) composite?
False
Let h(a) = 27*a - 4. Is h(11) prime?
True
Suppose -l + 4*n + 677 = 0, -4*n = 4*l + n - 2708. Is l a prime number?
True
Suppose 12*q = 9*q + 30. Is (-5)/(q/4) + 129 composite?
False
Let q(l) = 15*l**3 - 2*l**2 + 2*l - 4. Let z be q(4). Suppose 2*m = -2*m + z. Is m composite?
False
Suppose 4*k = -f + 6*f + 6, 4*k + 3*f = 22. Suppose k*j - 782 = 3*j - 5*z, 1597 = 2*j - z. Is j prime?
True
Let n be (-4)/6*(-135)/10. Suppose n*o - 5*o = 3164. Is o prime?
False
Let z be 51/9 - 2/3. Suppose -3*v + 14 = -m + 43, -z*m - 9 = -v. Let p = v + 21. Is p a composite number?
True
Let r be 4/(-6)*(-2 + -4). Let m(i) = 3*i - 1. Is m(r) a prime number?
True
Suppose 4*k - 41 = 43. Is k prime?
False
Let h = -167 + 43. Let n = h + 191. Is n a composite number?
False
Suppose 0*q + 1005 = 3*q. Is q a prime number?
False
Let d(g) = -g**3 - 9*g**2 - 9*g - 12. Let x be d(-8). Let r = x - -4. Let u = r - -19. Is u prime?
True
Let h(j) = -j**3 - 12*j**2 - j - 7. Let y be h(-12). Suppose 906 = y*g + 341. Is g prime?
True
Let s = 19 + -20. Let d(t) = -182*t**3 + t. Is d(s) a composite number?
False
Let s = -185 - -480. Is s a prime number?
False
Is ((-14)/8)/((-5532)/(-2768) - 2) composite?
True
Let c = -783 + 1960. Is c prime?
False
Suppose -2*z = -8 + 88. Let j(b) = -b**3 + 10*b**2 + 7*b - 5. Let f be j(10). Let i = f + z. Is i composite?
True
Let j be 1*(14 + 0 + 0). Let d = 34 - j. Suppose r + 4*r - d = 0. Is r prime?
False
Let j be 2 - (2*-1 - 0). Suppose 159 = j*d + 19. Let o = d - 10. Is o a composite number?
True
Let v = 1073 - 766. Suppose -1503 = -2*w - v. Is w/4 - (-2)/(-4) a composite number?
False
Let c = 6 - 6. Suppose c = 4*u - u + 3. Is (-12 + u)*(-2 + -11) prime?
False
Suppose -6*k + 492 = 174. Is k a composite number?
False
Suppose 3*n - 1 = 17. Suppose -n*a = -2*a - 420. Let j = -62 + a. Is j composite?
False
Let g(z) = z**2 + 2*z. Let r be g(-2). Suppose 4*s - 70 = -u + 73, -3*u + 3*s + 369 = r. Is u a composite number?
False
Suppose 685 = 3*z + 5*m, -4*z + z + 713 = -2*m. Is z a prime number?
False
Let w = 75 - -466. Is w a composite number?
False
Let j(a) be the second derivative of 0 + 3/2*a**2 - 13/6*a**3 - a. Is j(-4) a prime number?
False
Let p(z) = 21*z**2 + 3*z - 1. Let h be p(4). Let f be h/(-2*(-3)/(-6)). Let b = -220 - f. Is b prime?
True
Suppose 5*q + 4*i - 1274 = 287, 3*q = -3*i + 939. Suppose q = 3*k - 0*k. Is k a composite number?
False
Suppose 3*k = 4*k - 295. Is k composite?
True
Suppose -2*x = 2*b - 3948, 5*x + 1969 = b + x. Is b a composite number?
False
Let p = 10 - -4. Let r = p + -8. Is r prime?
False
Suppose 4*x + 20 = 0, -3*r + x = -7*r + 3. Let a be (-6)/3 + 4/r. Suppose 0 = -2*f - 3*t + 8, -31 = -a*f - 3*f + 5*t. Is f prime?
True
Suppose 2*w = -w - 4*l + 353, 2*w - 4*l = 242. Suppose -4*b + 41 - 149 = -4*j, b + w = 5*j. Is j prime?
True
Is (-1371)/(-12) + (-15)/(-20) composite?
True
Let z(j) = j**3 - j**2 - j + 2. Let m be z(0). Let i = m + 3. Suppose 32 = -i*x + 357. Is x a composite number?
True
Let o be (-110)/(-20) - 1/2. Suppose 2*a + 4 - 7 = o*h, h - 5 = 0. Is a composite?
True
Suppose 508 = 3*m + m. Is m composite?
False
Suppose j + 3*s + 31 = 0, -2*j - 15 - 39 = 4*s. Is j/((-1 - 1)/2) prime?
True
Let n(m) = -144*m - 1. Is n(-1) a prime number?
False
Suppose c + 3*c - 1 = -3*k, -4*c + 7 = -3*k. Let h = -9 - c. Is 0/(3/(-1)) - h prime?
False
Let l(o) = -4*o - 5. Let m be l(-2). Suppose 2*z = -5*r - 3*z + 140, 0 = r + m*z - 34. Is r composite?
True
Let c = 5 - 4. Suppose -c = 2*r - 195. Is r a prime number?
True
Let m(x) = x**2 - 4*x - 2. Let y be m(3). Let c(b) = -14*b - 7. Let o be c(y). Suppose 2*q + 3*z - 20 = 0, -3*z - o = -5*q - 4*z. Is q a prime number?
True
Is 8/16 + (-5)/((-30)/567) composite?
True
Let m(r) = r**3 - 4*r**2 - r - 1. Let f be m(4). Let z be 2/f - 110/(-25). Suppose 0 = -z*u + 196 - 48. Is u prime?
True
Let p(u) = 2*u + 35. Is p(0) composite?
True
Let j = -105 + 56. Let q = 35 + j. Let n = 53 + q. Is n prime?
False
Let u(c) be the first derivative of c**4/4 + 3*c**3 - 5*c**2 + 13*c - 5. Is u(-10) a composite number?
False
Let o = 5 + -1. Is o/(-4) + 24/1 composite?
False
Let x(c) be the second derivative of -c**4/12 + 4*c**3/3 - 9*c**2/2 + 2*c. Let f be x(6). Let t(i) = 2*i**3 - 5*i**2 + i + 2. Is t(f) a prime number?
False
Suppose 5 + 1 = 2*v. Let p(h) = h**2 + 3*h + 2. Let g be p(-3). Suppose -u - 33 = -5*t, g*t = -v*u + 4*u + 12. Is t a composite number?
False
Suppose -4*i + 6 = -2. Suppose 0 = -i*c + 10, -h + 3*c + c = -33. Is h prime?
True
Let t = 6 + -9. Let p(n) = -n**3 - 2*n + 4. Is p(t) a prime number?
True
Suppose 3*s - 296 - 262 = 0. Let y = 12 - 8. Suppose -4*i = g - s, -243 = -y*i - i + 4*g. Is i a prime number?
True
Let r be 4/(-8)*0/(-1). Suppose -12 = 3*g + 4*k, 0*g + 9 = 5*g - 3*k. Suppose 4*q - 2*z - 82 = g, r = q + q - 2*z - 38. Is q a composite number?
True
Suppose 1650 + 2278 = 4*b. Is b a composite number?
True
Let g(t) = 2*t - 4. Let q be g(3). Suppose -q*n = 3*n - 275. Is n composite?
True
Suppose -2*l = -3*l - 2*g, -l + 3*g + 5 = 0. Suppose -8*h + 3*h = -5*p + 740, -4*p = -l*h - 298. Is (-1)/(-4) - h/4 a prime number?
True
Let d be (1*(-2)/(-1))/(-1). Let j be d/4*-22 + -2. Suppose -j*v + 138 = -7*v. Is v composite?
True
Let l(z) = -6*z**3 - 3 - 4*z + 7*z**3 + z + 5*z**2. Is l(-4) a composite number?
True
Let k(f) be the first derivative of f**5/60 + 3*f**4/8 - 13*f**3/6 + 3*f**2/2 - 1. Let a(i) be the second derivative of k(i). Is a(9) a composite number?
False
Let d = 16 - 6. Suppose 6*u = u + d. Suppose -u*r + 312 = 58. Is r composite?
False
Suppose 3*h = 3*b + 6, h = -2*h - 2*b - 14. Let l be (2 + h + 1)*4. Suppose -2*s = -l*s + 230. Is s a prime number?
False
Let w(m) = -2*m - 6. Let n be w(-4). Let f be 2/2 + 2/n. Suppose -3*y + 245 = f*y. Is y prime?
False
Let b(r) = -81*r - 8. Is b(-5) a prime number?
True
Let n(c) be the second derivative of c**5/12 - c**3/6 - c**2/2 - c. Let f(p) be the first derivative of n(p). Is f(-2) a composite number?
False
Let a = 6768 - 3837. Is a prime?
False
Let m(a) = a**2 - 2*a - 3. Let x be m(3). Suppose x = -3*n + 2*n + 363. Suppose y = 3*k - 363, -4*y = -2*k - k + n. Is k composite?
True
Let y(i) = i**3 - 12*i**2 + i - 8. Let o be y(12). Let f = 44 - 24. Suppose -432 = -o*q + f. Is q prime?
True
Let r(u) = u**3 + 2*u**2 - 3*u + 1. Let p be r(-3). Let q be (p + 0)/((-6)/(-318)). Let o = q - -30. Is o composite?
False
Let q(j) = j**2 + 7*j + 9. Let c be q(-6). Suppose 0 = c*w - s - s - 107, 0 = w + s - 39. Is w composite?
False
Let c(v) = 53*v**2 - v - 1. Is c(-1) prime?
True
Suppose -914 + 54 = -2*w. Suppose w + 30 = 4*s. Is s composite?
True
Let z(j) = -93*j + 1. Let n be z(1). Let m = 15 - n. Suppose -m = -4*y + 249. Is y a composite number?
False
Suppose 5*q + 690 = 10*q. Let t(k) = -6*k + 1. Let y be t(1). Let s = q + y. Is s composite?
True
Suppose 7*h - 4*h + 1260 = 3*u, 0 = 2*u - h - 839. Is u composite?
False
Suppose w + 2*h - 67 = 0, 3*h + 117 = 5*w - 205. Is w a composite number?
True
Suppose -11*q + 14*q = 777. Is q a composite number?
True
Suppose 4*q + 4*n - 16 = 0, -1 = -2*n - 11. Let p be q/(-12) - 6/(-8). Is 2 - (-18 - p)*4 a prime number?
False
Let v(y) = -y - 8. Let j be v(-10). Suppose -j*s - s + 327 = 0. Suppose 0 = a + q - 50, 0*q + s = 2*a + 5*q. Is a prime?
True
Suppose 4*w = 3*o + 284, 3*w - 4*o + 0*o - 220 = 0. | {
"pile_set_name": "DM Mathematics"
} |
0 = a + f - 37, a - 3*f = -0*a + 45. Suppose 0 = 4*v + 5*g - a, -4*v + 5*g = -54 - 35. Let o = v + -8. Solve -2*k + 2*s = o, 0*k + 2*s - 8 = k for k.
0
Suppose 13*i = 488 + 617. Let x = i + -97. Let r be (-1)/(-1) - -21 - (15 + x). Solve q - 4*k + r = -2, q + k = 4 for q.
-1
Let o = 2825 + -2825. Solve -3*d = -d + z + 8, o = -2*d - 5*z - 24 for d.
-2
Let j = 8802 + -8798. Solve j*h - k - 6 = 0, 4*h - 16 = -h - 3*k for h.
2
Let o(s) = 2*s**2 - s**2 - 2*s - 2 - 6*s - 2 + 2*s. Let p be o(-1). Solve j - 4*y = -j - 14, 0 = 2*j + p*y for j.
-3
Let i(c) = c + 23. Let x be i(5). Let t be ((-42)/(-18))/(x/24). Solve 3*r = 8*n - 7*n - 4, -3*n - r + t = 0 for n.
1
Suppose 5*t - 16 = 4*w, 0*t - 5*w = t - 9. Suppose l + 3*o + 9 = 0, 5*l - 5*o - 373 + 338 = 0. Solve l*k - t*k + 4*g = 15, 4*g = 16 for k.
1
Let k(q) be the second derivative of q**4/12 - q**3/6 - q**2/2 + 56*q. Suppose 15 = 8*j - 3*j. Let d be k(j). Solve f - 20 = 4*y, -d*y = -y + 4*f for y.
-4
Let d be (-159)/(-265)*70/21. Solve -d*f - 3 = -6*f - 3*j, 2*j - 16 = 2*f for f.
-3
Let o be 66*1/((-18)/(-114)). Let p = 423 - o. Solve 3*m - p*u = 2 + 2, -2*u = 2*m + 8 for m.
-2
Suppose n - 4*k - 7 = 0, -4*k = -2 + 6. Suppose 4*t - 19*g - 6 = -17*g, 0 = -4*t - n*g + 21. Solve -2*v = -3*a + 11, -4*v - t*a + 1 = -22 for v.
2
Let c be (2/(-15))/((-24)/360). Let w = -11 + 17. Suppose -w = -t + l, t - 2*l = 3 + c. Solve -4*p - t = 3*f, -3*p + 5 = 3*f + 14 for p.
2
Suppose 4*z - 38 = -5*a, -a = -68 + 62. Let m = 0 + 3. Solve -3*g = -z*k - 0*k + m, -9 = 3*k for g.
-3
Let k(f) = 2*f - 2. Let j be k(2). Let b(n) = -3*n**2 + 9*n - 4. Let h be b(j). Solve h*o + 3*o + 24 = -3*m, m + 18 = -5*o for m.
-3
Let b = 36 - 34. Let c = 268 - 264. Solve c*f - 7 = 3*z, -b*f - 3*f + 11 = -3*z for f.
4
Let c be 6*(-5)/(-15) + 6. Let q(n) = -n**2 + 10*n - 16. Let h be q(c). Let m be ((-3)/3)/(-1) + -1. Solve -5*p + p - 3*z + 19 = h, m = -2*p - z + 7 for p.
1
Let n(x) = -x**2 - 9*x - 12. Let o be (4/8)/1*-10. Let z be n(o). Let p be -2 + (4/1 - 2). Solve -4*f = 4*c, p = 3*f - z + 2 for c.
-2
Suppose 15*j + 118 = 17*j. Let q be 13 - (-1 + 2) - (-59 + j). Solve 15 = -8*k + 3*k - 4*f, 2*f = 4*k + q for k.
-3
Let p(o) = 3*o**3 + o**2 - 2*o + 8. Let q be p(0). Solve -c = 2*h + q, c - 4*c - 3 = -h for c.
-2
Let y(t) = 145*t**2 + 2609*t - 16. Let z be y(-18). Solve -5*r + 2 = -p + 7, -r = z*p + 12 for p.
-5
Suppose -3 = 2*m + 11. Let v(b) = 5*b + 7. Let c be v(m). Let r = c + 30. Solve -4*g = -3*g, -r*d - 4*g = 0 for d.
0
Suppose -96*d = -89*d - 28. Solve 2*w - d = 14*n - 15*n, 4*n - 16 = 0 for w.
0
Suppose 0 = 2*n + 5 - 7. Let t be ((8/(-2))/12)/(n/(-18)). Suppose -t*a + 0*a = 0. Solve -w + 3*x + 1 = a, 0 + 1 = w + x for w.
1
Let c(v) = -v**2 - v + 168. Let p be c(12). Suppose p*t + 5*g = 11*t + 33, 3*t + 2*g = 34. Solve 2*r - 3*q = -t, -3*q + 5 - 2 = 3*r for r.
-1
Let u be -1 + (3 + 28)/(0 + 1). Suppose 3*o = -7*o + u. Suppose -4*h = -o*x - 65, 5*h + 0*x = 2*x + 83. Solve -5*p + h = -2*p - 4*w, -3*p - w + 7 = 0 for p.
3
Let h = 60 - 60. Let q be (-1 - h)/(6 - 7). Let p be (6 - q) + 3 + -1 + -4. Solve -6*a + 3*a - 2*s = p, -3*a + s - 3 = 0 for a.
-1
Let u(f) = -f + 14. Let j be u(9). Suppose 10 = -4*v - 5*d + 1, -3*d + 1 = 4*v. Solve t = -j, -t - v*t - 9 = -4*p for p.
-4
Suppose 3*f - 41 + 62 = 3*v, 0 = -3*f - 3. Solve 32 = -q - 5*z, -v*q + 11*q - 5*z + 10 = 0 for q.
-7
Suppose -4*u - 36 = 5*k - 39, -u = -4*k - 6. Solve 0 = 2*l - 3*y + 9 - 4, 19 = u*l + 5*y for l.
2
Let r be ((7 - (-9)/((-36)/68))/2)/(-1). Solve -3*g + 10 = -r*l, -3*l - 2*g + 9 = -4*l for l.
1
Suppose 115 = 58*a + 61*a - 361. Solve -4 = a*i - 5*l - 18, 4*i - 2*l = 8 for i.
1
Suppose -50*b - 3*r = -48*b - 12, 4*b - r = 38. Solve 2*p - 3*f + 15 = 0, f - b + 3 = p for p.
-3
Let m = -2795 - -2795. Let l be 2*-1 + (-132)/(-12). Suppose -4 = -l*q + 7*q. Solve 1 = -2*r - 2*u + 5, m = -3*r + u - q for r.
0
Suppose -11445*s + 11425*s + 40 = 0. Solve -2*q = -4*f - 4, -s = 22*q - 26*q + 2*f for q.
0
Let b(r) = 2*r**3 - 3*r**2 - 5*r + 10. Suppose -v - 4 = 0, 4*v + 28 = 4*u - v. Let n be b(u). Solve i + 7 = 3*o - n*o, 4*i - o = -13 for i.
-4
Let h = 1645 + -1696. Let p = 121 - 66. Let f = p + h. Solve 4*r - f = 3*i, -5*r + 2*i = -2*r - 2 for r.
-2
Let b = 250 - 254. Let k be (b - 26/(-4))*2. Solve -4 = f, -4*s + 31 = -k*f - 9 for s.
5
Suppose 28*c + 0 - 28 = 0. Let n(o) = -13*o + 17. Let u be n(c). Solve -i + 22 = -4*l, 0 = 5*l - l + u*i + 12 for l.
-5
Let b = -110 - -39. Let g = 73 + b. Suppose l = g*l. Solve 0 = -2*n + 6*n + 4*d, l = -2*d - 8 for n.
4
Let r(p) = -p**3 - 29*p**2 + 100*p + 149. Let d be r(-32). Solve -2*w - 12 = -j, -46*w + d = -49*w + 2*j for w.
-3
Let v be -2*(-3)/(-30) - 7917/(-35). Suppose 0 = 6*k + v + 254. Let y = 91 + k. Solve 0 = -3*d + 6, 0*m + d - y = -3*m for m.
3
Let b = -9 + 13. Let a = 63 - 56. Suppose -4*h + a = -5. Solve -u = h*s - 7*s - b, -3*s - 3 = 5*u for u.
0
Suppose 539*q - 585*q = 0. Solve q = -h + 4*c + 3, 6 = 2*h + 5*c for h.
3
Suppose 22 + 66 = 8*w. Let v = -9 + w. Suppose 22*q - 23*q = -v. Solve -4*n - 4 = -3*g, 2*g = -2*n - q + 14 for g.
4
Let j be 1/(6*(-18)/21 - -5). Let g(c) = 18*c + 142. Let y be g(j). Solve 2*p - 5*r - 5 = -y, 2*p + 4*r + 2 = 0 for p.
-3
Let t(w) = w**2 + 89*w + 262. Let b be t(-3). Solve 30*a = 3*v + 27*a - 3, b*v + 24 = -3*a for v.
-3
Let w(m) = 154 + 47*m + 167 - 294 + 2*m**2. Let o be w(-23). Solve 3*t - 2*z - 11 = 0, o*z = -5*t + 5 + 6 for t.
3
Suppose -902*m - 5*c = -901*m - 13, -2*c = 2*m - 10. Solve -m*u + f + 4 = 0, 3 = 5*u - 3*f + 5*f for u.
1
Suppose -f + 2 = 4*i, -4*f - 8*i + 29 = -13*i. Suppose -9 = f*b - 51. Solve -4*q + 6 = 4*u - 2, 0 = -q - 4*u - b for q.
5
Let t(p) = 55*p - 380. Let l be t(7). Solve 3*j = 9*y - 14*y - 28, 0 = y + l*j + 10 for y.
-5
Suppose -5*x - 24 = -334. Let b = -62 + x. Suppose 3*n - r + 3*r + 2 = 0, 2*n + 2*r + 4 = b. Solve -w + 2 = 4, w + 10 = -n*p for p.
-4
Suppose -5*n = 8*p - 5*p - 123, -4*n + 60 = -4*p. Solve -z = 5*o - 20, -4*z + 5 = -4*o + n for z.
0
Let u = -54 - -82. Let r = u - 13. Suppose -2*p + r = -y, 4*p + y = 16 - 1. Solve 0 = -p*b + 4*d - 33, 3 = -4*b - 4*d - 9 for b.
-5
Let v be (1 + 0)/(8 + -7). Suppose -35*w + 40 = -25*w. Suppose 14 = n - 4*l, -w*l - v = 4*n + 3. Solve -3*g - 4*d + 5 = -n*d, g - 4 = -3*d for g.
1
Suppose 3627 = 20*o + 3587. Solve -13 = o*b + z, -2*z = -7*z - 25 for b.
-4
Suppose 144*d = 158*d - 56. Solve 5*n - 5*o - 10 = -0*o, -d*n + 5*o + 10 = 0 for n.
0
Let m be 2/((-4)/56*-4). Suppose r = -h + 1, m*r - 5 = h + 2*r. Solve 5*i = 4*x - 5, i + 1 = 4*x - h for x.
0
Suppose -y - 6*j + 46 = -3*j, 4*j - 153 = -3*y. Let u(s) = -5*s + 5. Let n be u(-11). Let l = n - y. Solve l*t - 3 = 5*c + t, -c - 9 = 2*t for c.
-3
Let g(w) = -w**2 + 78*w - 988. Let b be g(16). Solve 0 = -b*j - 5*i - 168 + 184, -4*i = 4*j - 12 for j.
-1
Let n be 20/90 + (-1750)/18. Let d = n - -115. Solve 2*h + 2*h + 5*z = -d, -5*h - 8 = -z for h.
-2
Suppose -10*j + 36 = -114. Suppose j*y = 24*y. Solve y = -p + 2, -3*t + 4*p + 7 = 3*p for t.
3
Let v = 606 + -595. Suppose v + 43 = 9*m. Solve 5*h + 24 = 4*t, h - 2*t + m = -0*h for h.
-4
Let n(m) = -3*m - m**3 + 4 - 4*m**2 - 3*m**3 + 0*m**3. Let k(a) = 12*a + 166. Let o be k(-14). Let w be n(o). Solve -5*z + 3*b - 7 = -26, 4*z + 3*b = w for z.
5
Let j be 10818/(-63) + 8/(-28). Let u = j + 174. Solve -2*g + 18 = 4*c, c = -u*g - 5 + 17 for g.
5
Suppose -127*c + 720 = -96*c + 162. Solve -2*g = 5*h + 18 - 2, c = g - 4*h for g.
2
Let q(w) = 4*w**2 + 7*w + 3. Let n be q(-2). Solve -4*o = -5*a + 21, -o = -a - 0 + n for o.
-4
Suppose -20 = k - 6*k. Let l be ((-30)/4)/(-5)*104/78. Solve -2*x = -4*y + l*x - 20, 4*y + 4*x = -k for y.
-3
Let j be (4/(-3))/(2/(-57)). Suppose 185*m - 182*m = 105. Let v = j - m. Solve 0 = -2*n + 10, -4*b - 5*n + v*n + 26 = 0 for b.
4
Let j = 115 - 124. Let u be ((-10)/(-6))/(j + (-224)/(-24)). Solve f - 20 = -2*d - 3*d, d = -u*f + 28 for f.
5
Let a be 2/20 + 178581/190. Suppose 945*z - 20 = a*z. Solve 0 = 3*r - 2*c + 4*c + 22, -r = -z*c - 16 for r.
-4
Suppose 0 = 4*r + 2*o + 2, r - 5*o = 29 - 2. Let w be (9 - (1 + r)) + -3. Solve -k = -4*h - 2*k - w, 3*h = k - 11 for h.
-2
Let t = 9855 + -9841. Solve 3*r - t = -4*f, -29*r = -3*f - 25*r + 23 for f.
5
Suppose r + 83 = -4*n + 82, -n + 11 = 4*r. Solve 3*b + 5*j | {
"pile_set_name": "DM Mathematics"
} |
**2 + 8*x. Let v(b) = -35*b**2 + 12*b. Let j(t) = 7*o(t) - 5*v(t). Find s such that j(s) = 0.
0, 2/7
Determine a, given that -10 + 6*a - 25*a**2 + 6*a + 22*a**2 - 2 = 0.
2
Suppose -y + 5*x = -2, 0 = 16*y - 13*y + 4*x - 6. Factor 1/3*s**y + 4/3 + 4/3*s.
(s + 2)**2/3
Determine y, given that y + 4*y**5 + 366*y**4 - 3*y**2 - 726*y**4 + 363*y**4 - 5*y**3 = 0.
-1, 0, 1/4, 1
Let n(v) = 7*v**3 - 8*v**2 + 43*v. Let d(y) = -15*y**3 + 15*y**2 - 85*y. Let f(q) = -6*d(q) - 13*n(q). Suppose f(l) = 0. Calculate l.
0, 7
Suppose 5*n - 19 - 121 = 0. Let a = -47 - -49. Factor -n*w**4 + 20*w**4 - 4*w**3 + a*w**3.
-2*w**3*(4*w + 1)
Let n(q) be the first derivative of 1 - 3/5*q**5 + 0*q**2 + 0*q + 0*q**3 - 1/4*q**4. Solve n(z) = 0 for z.
-1/3, 0
Let h(f) = f**3 - f**2 - 1. Let s(m) = -51*m**3 + 201*m**2 - 60*m - 48. Let c(b) = -12*h(b) + s(b). Factor c(o).
-3*(o - 3)*(3*o - 2)*(7*o + 2)
Let j(b) be the second derivative of b**8/3360 - b**7/840 + b**6/720 + b**4/12 - b. Let w(i) be the third derivative of j(i). Factor w(x).
x*(x - 1)*(2*x - 1)
Let -3*a**3 + 13*a**3 + 2*a**2 + 3*a - 4*a - 11*a**3 = 0. Calculate a.
0, 1
Let j(t) be the second derivative of -t**6/120 - 3*t**5/80 - t**4/16 - t**3/24 - 5*t. Suppose j(z) = 0. Calculate z.
-1, 0
Let m(f) = f**2 - 4*f. Let n be m(5). Let c(d) = 3*d**2 + 3*d + 9. Let t(x) = x**2 + x + 4. Let r(k) = n*t(k) - 2*c(k). Factor r(y).
-(y - 1)*(y + 2)
Suppose 3 + 0 - l**2 - 3*l + 2*l + 3*l = 0. Calculate l.
-1, 3
Let p = 89 - 800/9. Let w(j) be the first derivative of -p*j**6 - 2/9*j**3 - 1 + 2/15*j**5 + 0*j**2 + 1/6*j**4 + 0*j. Factor w(f).
-2*f**2*(f - 1)**2*(f + 1)/3
Let n(t) be the third derivative of 6*t**2 + 0*t**5 - 1/8*t**4 + 0 + 1/20*t**6 - 1/112*t**8 + 0*t**7 + 0*t + 0*t**3. Solve n(d) = 0 for d.
-1, 0, 1
Let m = -2 + 6. Factor -a**2 + 6*a**4 + m*a - a**4 - 5*a**2 - 3*a**4.
2*a*(a - 1)**2*(a + 2)
Let b(j) = -21*j**2 + 24*j - 8. Let f(x) = x**2 + x - 1. Let h(g) = -b(g) + 4*f(g). Solve h(z) = 0 for z.
2/5
Let k(j) be the third derivative of -11*j**7/6300 + 13*j**6/1800 - j**5/150 + j**4/8 + 2*j**2. Let s(z) be the second derivative of k(z). Factor s(n).
-2*(n - 1)*(11*n - 2)/5
Factor 2/11*d**3 + 4/11*d**2 + 0 + 0*d.
2*d**2*(d + 2)/11
Let h(w) be the first derivative of 1 + w - 1/8*w**4 + 1/2*w**3 - 1/10*w**5 + 5/4*w**2. Factor h(g).
-(g - 2)*(g + 1)**3/2
Let w(d) be the third derivative of 1/90*d**5 + 0 + 0*d**4 + 0*d + 2*d**2 - 1/9*d**3. Determine f so that w(f) = 0.
-1, 1
Let o(g) be the third derivative of g**5/140 - 23*g**2. Factor o(x).
3*x**2/7
Suppose 0 = -2*z + 2, -l - 14*z + 6 = -10*z. Factor 4/5*s**l + 2/5*s + 2/5*s**3 + 0.
2*s*(s + 1)**2/5
Let q(x) be the first derivative of x**4/12 - x**3/3 + 4*x/3 - 9. Factor q(v).
(v - 2)**2*(v + 1)/3
Let n(j) be the second derivative of j**6/165 - j**5/110 - 3*j**4/22 - j**3/3 - 4*j**2/11 - 17*j. Let n(s) = 0. What is s?
-1, 4
Let t(b) be the second derivative of b**7/84 - b**6/15 + 3*b**5/40 + b**4/6 - b**3/3 + 49*b. Let t(f) = 0. Calculate f.
-1, 0, 1, 2
Let m(o) = -15*o**4 - 3*o**3 + 15*o**2 - 15*o - 9. Let g(l) = 7*l**4 + l**3 - 7*l**2 + 7*l + 4. Let r(z) = 9*g(z) + 4*m(z). Factor r(b).
3*b*(b - 1)**2*(b + 1)
Let j(t) be the first derivative of 3 + 0*t - 2/3*t**2 + 2/3*t**3. Factor j(c).
2*c*(3*c - 2)/3
Let s(q) = -5*q**2 - 3*q + 7. Let k be s(-3). Let d = 31 + k. Solve -4/7*u**2 - d*u + 4/7 + 2*u**3 = 0 for u.
-1, 2/7, 1
Let c be 2/(-2) - -2 - -4. Suppose -2*q + 7 = -c. Suppose -14/3*b**4 + q*b + 4/3 + 10/3*b**2 - 6*b**3 = 0. Calculate b.
-1, -2/7, 1
Let w(v) = -5*v**5 - 10*v**4 - 5*v**3 + 2. Let y(c) = -10*c**5 - 20*c**4 - 10*c**3 + 5. Let j(d) = -5*w(d) + 2*y(d). Suppose j(g) = 0. What is g?
-1, 0
Let w be ((-16)/18)/(4/(-6)). Let m be (-4)/12*4*-1. Factor 1/3*l**3 + 0 + m*l**2 + w*l.
l*(l + 2)**2/3
Let y(v) = 2*v - 5. Let i be y(4). Let t(c) be the second derivative of 0*c**i + 1/30*c**5 + 0 + 1/90*c**6 + 0*c**2 + c + 1/36*c**4. Find q such that t(q) = 0.
-1, 0
Let 0*q**2 + 0*q + 2/17*q**3 + 0 + 0*q**4 - 2/17*q**5 = 0. What is q?
-1, 0, 1
Let g(v) be the second derivative of -1/22*v**4 + 0 - 1/165*v**6 - 4/33*v**3 + 2/55*v**5 + 4/11*v**2 - 2*v. Let g(b) = 0. What is b?
-1, 1, 2
Let s be (3/10)/((-9)/(-4)). Let p(h) be the second derivative of 1/25*h**5 + 0*h**4 + 2*h + 1/75*h**6 - s*h**3 + 0 - 1/5*h**2. Factor p(a).
2*(a - 1)*(a + 1)**3/5
Suppose -6*l + 4 + 14 = 0. Solve 0*t - 4/7*t**2 + 0 - 2/7*t**l = 0.
-2, 0
Let u(z) be the first derivative of -3*z**4/20 + 3*z**2/10 + 12. Factor u(q).
-3*q*(q - 1)*(q + 1)/5
Let k(b) be the third derivative of b**5/20 + b**4/8 - 3*b**3 + 39*b**2 - 2. Factor k(p).
3*(p - 2)*(p + 3)
Let z(h) be the third derivative of h**8/10080 - h**6/2160 + h**3/3 - h**2. Let l(m) be the first derivative of z(m). Suppose l(v) = 0. What is v?
-1, 0, 1
Determine k, given that 0 - 2/9*k + 2/9*k**2 = 0.
0, 1
Suppose -z = -4 - 0. Find j such that 2*j**3 + 1/4 + 0*j - 3/2*j**2 - 3/4*j**z = 0.
-1/3, 1
Let p = 29 + -83/3. Let 0 + 0*z - 2/3*z**3 - p*z**2 = 0. What is z?
-2, 0
Let w(j) = -j**3 + 2*j**2 + 3*j - 3. Let p be w(2). Factor -4*a**4 - a**p - 2*a + 2*a**5 + 3*a**3 + 2*a.
2*a**3*(a - 1)**2
Let p(w) = -3*w**2 - 3*w. Let c(h) be the third derivative of -h**5/10 - h**4/4 - h**3/6 + h**2. Let k(z) = 6*c(z) - 13*p(z). Factor k(x).
3*(x - 1)*(x + 2)
Factor 0*j + 0 + 2/7*j**4 - 2/7*j**2 - 2/7*j**5 + 2/7*j**3.
-2*j**2*(j - 1)**2*(j + 1)/7
Suppose -2*l = 2*w - 8, l + l = -w + 6. Solve -1/3*z - 2/3*z**4 + 2/3*z**l + 1/3*z**3 + 0 = 0.
-1, 0, 1/2, 1
Let w be 2/15*1*(-7)/(-14). Let c(u) be the second derivative of -3/10*u**5 + w*u**6 + 0*u**2 + 1/2*u**4 + 4*u - 1/3*u**3 + 0. Factor c(p).
2*p*(p - 1)**3
Let w be 20/(-6)*(-180)/50. Let c = -8 + 13. Find y, given that -w*y**2 + 20*y - 4 + 4*y**3 - c*y**2 + 0 = 0.
1/4, 2
Let h(l) be the first derivative of l**9/6048 + l**8/3360 - l**7/1680 - l**6/720 + l**3 + 3. Let r(s) be the third derivative of h(s). Let r(d) = 0. What is d?
-1, 0, 1
Suppose -1 = 4*w - 5*u + 3, 5*u - 16 = w. Factor -7*d**4 - 3*d**w - 6*d**3 - 14*d**2 - 4*d - 5*d**5 - 12*d**3 + 3*d**5.
-2*d*(d + 1)**3*(d + 2)
Let g(w) = -5 + 0 + 2 + 2. Let v(k) = -k**3 - k**2 + k - 4. Let q(n) = -10*g(n) + 2*v(n). Factor q(b).
-2*(b - 1)*(b + 1)**2
Let u be 58/198 + (-12)/66. Let l(x) be the first derivative of u*x**4 + 0*x**3 + 2 - 2/9*x**2 + 2/9*x - 2/45*x**5. Factor l(j).
-2*(j - 1)**3*(j + 1)/9
Let x(l) be the second derivative of -1/21*l**3 - 4*l - 5/42*l**4 - 3/70*l**5 + 0 + 0*l**2 + 4/147*l**7 + 1/21*l**6. Let x(v) = 0. Calculate v.
-1, -1/4, 0, 1
Suppose 5*j - 9 = 1. Suppose 2 = v - u, v + 2*u - 6 - j = 0. Factor v*c - 1 - 3*c**2 + 4*c**2 - 5*c**2.
-(2*c - 1)**2
Let o(l) = 4*l**4 + 24*l**3 + 57*l**2 + 48*l + 11. Let z(n) = 2*n**4 + 12*n**3 + 28*n**2 + 24*n + 6. Let t(p) = 2*o(p) - 5*z(p). Factor t(k).
-2*(k + 1)**2*(k + 2)**2
Let t(o) = -o. Let x be t(-2). Let q be (-16)/(-10) - x/(-5). Factor 1/5 - 2/5*b + 1/5*b**q.
(b - 1)**2/5
Let y(w) = -w**3 - w**2 - w. Let t be y(0). Find a, given that 0 + 0*a**2 - a**4 + t*a + 1/2*a**5 + 0*a**3 = 0.
0, 2
Let o(l) be the first derivative of 1/2*l**2 + 0*l - l**3 - 1. Factor o(f).
-f*(3*f - 1)
Let f(m) be the third derivative of m**8/9240 - m**7/2310 + 5*m**3/3 + 2*m**2. Let g(z) be the first derivative of f(z). Let g(p) = 0. What is p?
0, 2
Suppose 5*j - 4*y = j + 16, j + y = 4. Let w(u) be the first derivative of 4/3*u**3 - 3*u**2 - 3 - j*u. Factor w(x).
2*(x - 2)*(2*x + 1)
Let n = -22 + 24. Factor 1 + 3*j**n + 0*j**2 - 7 + 3.
3*(j - 1)*(j + 1)
Factor -4 + 46*c - 189*c**2 - 343/2*c**4 + 637/2*c**3.
-(c - 1)*(7*c - 2)**3/2
Let c(g) = 3*g**3 - 4*g**2 - 8*g - 1. Let r(i) = -i**4 - i**3 + i**2 - 1. Let w(j) = 2*c(j) - 10*r(j). Solve w(f) = 0 for f.
-2, -1, 2/5, 1
Let m(c) be the second derivative of c**6/120 - c**4/16 - c**3/12 - 2*c. Suppose m(x) = 0. What is x?
-1, 0, 2
Let b(k) = -k**5 + 18*k**3 + 6*k**2 - 11*k. Let h(i) = i**3 - i. Let d(j) = -4*b(j) + 44*h(j). Factor d(t).
4*t**2*(t - 3)*(t + 1)*(t + 2)
Factor 6/7*q**3 - 6/7*q**2 + 2/7*q + 0 - 2/7*q**4.
-2*q*(q - 1)**3/7
Let k(b) = b**3 + 3*b**2 + 2*b - 1. Let n be k(-4). Let y = n + 27. Factor 1/2*d**y + 1/2 - 5/4*d.
(d - 2)*(2*d - 1)/4
Let h(r) be the first derivative of -r**3 + 12*r - 4. Factor h(l).
-3*(l - 2)*(l + 2)
Let i(q) be the first derivative of -3* | {
"pile_set_name": "DM Mathematics"
} |
t a(k) = 2*k + 2. Let u(z) = 4*z + 4. Suppose i + 9 = -l, 3*l = i + 2*l + 13. Let h = -79 - -85. What is h*u(p) + i*a(p)?
2*p + 2
Let r(h) = -180320*h**2 + 736*h + 3680. Let n(s) = -736*s**2 + 3*s + 15. Calculate -736*n(c) + 3*r(c).
736*c**2
Let x(k) = -4*k**2 - 5*k - 3. Let t = 956 - 961. Let q(u) = -u**2 - u - 1. Calculate t*q(p) + x(p).
p**2 + 2
Let g(j) be the third derivative of j**5/30 + j**4/12 - j**3/3 - 10*j**2 - 103. Let f(z) = z**3 + z**2 + z. Calculate -2*f(u) + g(u).
-2*u**3 - 2
Let t(v) be the first derivative of 5*v**3/3 - 10*v**2 - 3*v - 3769. Let o(m) = -4*m**2 + 21*m + 2. What is -3*o(r) - 2*t(r)?
2*r**2 - 23*r
Let i(s) = 9*s - 318. Let f be i(35). Let z(j) = -5*j**2 - 4*j - 3. Let d(h) = 9*h**2 + 7*h + 5. Determine f*d(w) - 5*z(w).
-2*w**2 - w
Let y(h) = 3*h**2 - 2*h**3 - 213*h + 405*h - 4 - 189*h. Let c(f) = 3*f**3 - 3*f**2 - 4*f + 5. What is -3*c(x) - 4*y(x)?
-x**3 - 3*x**2 + 1
Let u(c) = -11*c**3 + 6*c**2 + 257*c + 6. Let p(h) = -23*h**3 + 13*h**2 + 512*h + 13. Determine -6*p(i) + 13*u(i).
-5*i**3 + 269*i
Let r(o) = -2*o - 4. Let y(d) be the first derivative of -d**2/2 - 44*d + 105. Let p(t) be the first derivative of y(t). Give -3*p(u) + r(u).
-2*u - 1
Let o(a) = -19*a + 20*a**3 + 6*a**2 + 265 - 259 + 25*a. Let l(z) = z**3 + z**2 + z + 1. What is 6*l(n) - o(n)?
-14*n**3
Let s(p) = -10*p**2 - 198*p + 3. Let l(c) = -c**2 + c + 1. Determine 3*l(o) - s(o).
7*o**2 + 201*o
Let n(k) = 7*k - 1. Suppose 208 = 3*m - 4*y, 10*m - y = 8*m + 142. Suppose -49*s + 46*s = -m. Let r(v) = v. Determine s*r(z) - 3*n(z).
3*z + 3
Let a(y) = -1. Let v(l) be the third derivative of -l**5/60 - l**4/12 - l**3/3 - l**2 - 248. Let x be 3/(3/7 - 0). Let h = x - 6. Give h*v(f) - 4*a(f).
-f**2 - 2*f + 2
Let g(m) = -270*m**2 + 84*m - 783. Let p(h) = -17*h**2 + 5*h - 49. Calculate 2*g(v) - 33*p(v).
21*v**2 + 3*v + 51
Let k(a) = -17*a**3 - 145*a**2 - 27*a + 10. Let n(o) = -7*o**3 - 73*o**2 - 11*o + 6. What is -2*k(u) + 5*n(u)?
-u**3 - 75*u**2 - u + 10
Let z(j) = 6*j**3 + 27*j**2 + 32*j - 1. Let f(d) = -34*d**3 - 135*d**2 - 159*d + 5. Determine -2*f(r) - 11*z(r).
2*r**3 - 27*r**2 - 34*r + 1
Let p(r) = -3*r + 81. Let z(w) = -22*w + 644. What is 17*p(u) - 2*z(u)?
-7*u + 89
Let b(x) = 3*x - 6 + 2*x + 5*x**2 + 0*x + 4*x. Let t(f) = 70519*f**2 + 1 - 70523*f**2 - 8*f + 4. Let z = -18 - -25. Determine z*t(r) + 6*b(r).
2*r**2 - 2*r - 1
Let s(i) = 1881*i**2 + 95*i + 95. Suppose 298*f - 233*f - 130 = 0. Let m(w) = 40*w**2 + 2*w + 2. Determine f*s(l) - 95*m(l).
-38*l**2
Let h(k) be the third derivative of 0*k + 3*k**2 + 1/3*k**3 + 1 + 1/24*k**4. Suppose -4*m - 14 = -2*m. Let d(s) = s + 2. Determine m*d(y) + 6*h(y).
-y - 2
Let l(o) = -o**2 + 2*o - 22. Let u(h) = -5*h**2 + 140*h - 85. Give 4*l(k) - u(k).
k**2 - 132*k - 3
Let h(p) = 4*p. Let u(q) = -4*q + 1 - 2 - 5*q. Suppose -4*l - 444 = 3*y, -148 = y + l - 0. Let s = -155 - y. Calculate s*h(t) - 3*u(t).
-t + 3
Let k(r) = 49*r**2 + 6*r. Let u(c) = 139*c**2 + 18*c. What is 11*k(t) - 4*u(t)?
-17*t**2 - 6*t
Let q(w) = 3*w**3 + 2*w**3 - 3219*w**2 - w**3 + 3221*w**2 + 2. Let g(s) be the first derivative of -5*s**4/4 - s**3 - 3*s + 3. What is 2*g(f) + 3*q(f)?
2*f**3
Let z(r) = -2*r**3 + 35*r**2 + 41*r + 56. Let a(f) = -f**3 + 12*f**2 + 13*f + 21. Give 8*a(y) - 3*z(y).
-2*y**3 - 9*y**2 - 19*y
Let d(a) = -a**2 + 4*a - 2. Let h = -3667 + 3678. Suppose -3*p + n = 17, 4*n - 8*n = -3*p - 32. Let u(c) = -3*c**2 + 12*c - 5. Give h*d(m) + p*u(m).
m**2 - 4*m - 2
Let h(i) be the third derivative of -i**4/24 + 13*i**3/6 - 2*i**2 - 6*i + 1. Let n(z) = -2*z + 27. Calculate 9*h(m) - 4*n(m).
-m + 9
Let j be (5/(-1))/((-2)/(-2)). Let x(m) = 2*m**3 + 5*m + 5. Let k(d) = -d**3 - 3*d - 3. Let b = 34 + -104. Let c be -8 + (-315)/b + 2/4. Give c*x(n) + j*k(n).
-n**3
Let w(l) = -303*l**2 - 9*l**3 + 603*l**2 - 5 - 299*l**2. Let s(m) be the first derivative of 0*m**4 + 2 - 3*m - m**4 + m. Calculate 5*s(g) - 2*w(g).
-2*g**3 - 2*g**2
Let m(g) be the third derivative of g**4/2 + g**3/3 + 7*g**2 - 18*g. Let w(n) = -24*n - 3. Determine 7*m(b) + 4*w(b).
-12*b + 2
Let j(d) = 21*d**2 + 4*d + 14. Let h(t) = -3*t**2 - 2*t + 1. Calculate -3*h(o) - j(o).
-12*o**2 + 2*o - 17
Let o(q) = 104103*q**2 - 12*q - 52188*q**2 - 12 - 52105*q**2. Let u(a) = -76*a**2 - 5*a - 5. Give -5*o(h) + 12*u(h).
38*h**2
Let u(v) = 44*v**2 + 13*v - 33. Let w(x) = 15*x**2 + 4*x - 12. What is -2*u(y) + 7*w(y)?
17*y**2 + 2*y - 18
Let o be (-1)/2 - (-11)/2. Let t(g) = -3*g - 3. Let z(c) be the third derivative of c**3/6 + 14*c**2 - 112*c. Give o*z(k) + t(k).
-3*k + 2
Let j(y) = -5*y - 90. Let z(b) = 6*b + 91. What is -4*j(c) - 3*z(c)?
2*c + 87
Let v(m) = -37*m**3 + 11*m**2 + m + 29. Let d(r) = -22*r**3 + 6*r**2 + r + 14. Determine -5*d(q) + 3*v(q).
-q**3 + 3*q**2 - 2*q + 17
Let q(x) = 385*x**2 + 46. Let r(t) = 769*t**2 + 81. Give 7*q(y) - 4*r(y).
-381*y**2 - 2
Let z(t) = -6*t**2 + 6*t + 135. Let i(d) = -d**2 + d + 25. What is -11*i(m) + 2*z(m)?
-m**2 + m - 5
Let r(j) = -9*j**2 + 5*j + 4. Suppose 0 = -29*g + 7 - 210. Let h be (-2)/(-9) - 86/(-18). Let w(s) = -13*s**2 + 7*s + 6. What is g*r(l) + h*w(l)?
-2*l**2 + 2
Suppose -3 + 4 = -m, -3*c - 20 = 2*m. Let k(g) = g + 3. Let v(l) = -369 + 0*l + 363 - 2*l. What is c*v(t) - 10*k(t)?
2*t + 6
Let d(x) = 15*x**2 + 11*x + 9. Let b(k) = 2*k - 1. Let v(i) = -7*i**2 + 3*i - 8. Let p(l) = 4*b(l) - v(l). Suppose 2*z + 12 = 18. Calculate z*d(h) - 7*p(h).
-4*h**2 - 2*h - 1
Let m(o) = -4*o**3 - 2*o**2 + 13*o + 61. Let z(a) = -9*a**3 - 5*a**2 + 28*a + 120. Determine -13*m(b) + 6*z(b).
-2*b**3 - 4*b**2 - b - 73
Let c(q) = q - 7. Let y(a) = -156*a - 44. Let o(s) = 59*s + 14. Let f(b) = 8*o(b) + 3*y(b). What is -7*c(w) + 2*f(w)?
w + 9
Let u(o) = 4*o**2. Let v = 18728 - 18734. Let i(w) = w**2 + w**2 + w**2 - 7*w**2. Give v*i(t) - 5*u(t).
4*t**2
Let o(x) = 7*x**2 + 5*x + 7. Suppose -70 = -25*m + 30. Suppose 0 = q - 6 + 2. Suppose q*k + 59 = 23. Let s(h) = 3*h**2 + 2*h + 3. Give k*s(f) + m*o(f).
f**2 + 2*f + 1
Let n(q) be the second derivative of -38*q**5 + 133*q**4/12 - 3*q + 344. Let d(v) = -23*v**3 + 4*v**2. Determine -133*d(c) + 4*n(c).
19*c**3
Let x(h) = 10*h + 170. Let b(v) = v + 1. What is -18*b(w) + 2*x(w)?
2*w + 322
Let j be 915/427*(1 + (-6)/(-1)). Suppose -j*g - 25 = -10. Let n(t) = t**2 - t - 1. Let r(c) = -3*c**3 - 5*c**2 + 5*c + 5. Calculate g*r(y) - 5*n(y).
3*y**3
Suppose -2*i = -2*x - 50, x + 4 = -2*i - 18. Let c(t) = -t**3 - t**2 + t - 1. Let h(s) = 9*s**3 + 8*s**2 - 8*s + 8. Give x*c(r) - 3*h(r).
-3*r**3
Let a(z) = -402*z + 11. Let k(l) = -195*l + 6. Determine -4*a(u) + 7*k(u).
243*u - 2
Let q(r) = -12*r**2 + 4. Let p(g) = -4*g**2 + 1. Let w(m) = -158*m + 1256. Let d be w(8). Give d*p(z) + 3*q(z).
-4*z**2 + 4
Let j(d) = 336*d - 31. Let a(n) = 336*n - 37. Calculate 5*a(g) - 6*j(g).
-336*g + 1
Let o(v) = 3105*v**2 - 4*v - 4. Let k(f) = 6768895*f**2 - 8722*f - 8722. Calculate 2*k(b) - 4361*o(b).
-3115*b**2
Let z be 3315/680 - (-3)/24. Let v(j) = -16*j - 1. Let k(n) = -32*n - 2. Determine z*v(p) - 2*k(p).
-16*p - 1
Let l(a) = -1424*a**3 + 15664*a**2 + 46992*a + 15664. Let c(x) = -x**2 - 3*x - 1. Give -31328*c(t) - 2*l(t).
2848*t**3
Let j(q) = -2351*q**2 - 18*q - 4. Let z(u) = -2349*u**2 - 14*u - 3. Determine 3*j(i) - 4*z(i).
2343*i**2 + 2*i
Let g(s) = 7*s - 4. Let u(k) = k - 1. Let n be 2/(-6) + (-4)/6. Suppose 52*q = -y + 49*q + 8, 0 = y - q. Calculate n*g(p) + y*u(p).
-5*p + 2
Let u(z) = -7*z**3 - 6*z**2 - z - 6. Let a(o) = -6*o**3 - 8*o**2 - 5. Calculate -6*a(y) + 5*u(y).
y**3 + 18*y**2 - 5*y
Let r(w) = -12*w**3 + 11*w**2. Let y(n) = -n**3 + 59*n**2 - 56*n**2 + 0*n**3 - 2*n**3. Determine -6*r(o) + 22*y(o).
6*o**3
Let w(n) = 4*n - 2022*n**2 - 9*n - 6*n**3 + 2020*n**2. Let z(j) = 25*j**3 + 9*j**2 + 21*j. Give -9*w(q) - 2*z(q).
4*q**3 + 3*q
Let k(c) = 11*c**2 - c. Let j(v) = -v**3 + 13*v**2 + 2*v + 5. Let s be j(7). Let l = -314 + s. Let x(m) = m**2. Determine l*k(a) + 4*x(a).
-7*a**2 + a
Let l(n) be the third derivative of -n**5/15 + n**4/12 + 2*n**2 + 489*n - 3. Let m(p) = -3*p**2 + 2*p. What is 6*l(z) - 7*m(z)?
-3*z**2 - 2*z
Let x(i) = 332*i + 30. Let g(q) = -2*q + 25. Calculate g(f) - x(f).
-334*f - 5
Suppose -4*z - u = -23, 2*z + 2 = -5*u + 9*u. Let p(k) = 3*k**2. Let b(g) = -7*g**2 - g. Give z*p(t) + 2*b(t).
t**2 - 2*t
Let n(k) = 14*k**2 | {
"pile_set_name": "DM Mathematics"
} |
j'th term of -53146, -106294, -159442, -212590, -265738, -318886?
-53148*j + 2
What is the l'th term of 4740, 4754, 4768?
14*l + 4726
What is the h'th term of 969, 918, 843, 738, 597?
-h**3 - 6*h**2 - 26*h + 1002
What is the k'th term of -595, -707, -761, -751, -671, -515, -277, 49?
k**3 + 23*k**2 - 188*k - 431
What is the m'th term of -82, -45, 24, 131, 282, 483, 740?
m**3 + 10*m**2 - 93
What is the v'th term of -411, -525, -713, -975?
-37*v**2 - 3*v - 371
What is the d'th term of 1090, 1816, 2538, 3256?
-2*d**2 + 732*d + 360
What is the t'th term of -1086, -1125, -1164, -1203?
-39*t - 1047
What is the n'th term of -23, -119, -295, -557, -911, -1363, -1919?
-n**3 - 34*n**2 + 13*n - 1
What is the g'th term of -33, -95, -209, -375, -593?
-26*g**2 + 16*g - 23
What is the j'th term of -5890, -11793, -17696, -23599, -29502, -35405?
-5903*j + 13
What is the w'th term of 13197, 26400, 39591, 52764, 65913?
-w**3 + 13210*w - 12
What is the z'th term of 128962, 257916, 386872, 515830, 644790?
z**2 + 128951*z + 10
What is the j'th term of -26, 25, 242, 727, 1582, 2909, 4810, 7387?
17*j**3 - 19*j**2 - 11*j - 13
What is the k'th term of -647, -224, 197, 616?
-k**2 + 426*k - 1072
What is the n'th term of 708, 1317, 1926, 2535, 3144?
609*n + 99
What is the h'th term of 15760, 15767, 15774, 15781, 15788, 15795?
7*h + 15753
What is the x'th term of -337, -339, -367, -421, -501, -607, -739?
-13*x**2 + 37*x - 361
What is the f'th term of -1467, -1435, -1403, -1371?
32*f - 1499
What is the d'th term of 60306, 60309, 60312?
3*d + 60303
What is the z'th term of -1706, -3412, -5118, -6824, -8530?
-1706*z
What is the w'th term of 418, 438, 462, 490, 522?
2*w**2 + 14*w + 402
What is the k'th term of -892, -1953, -3722, -6199?
-354*k**2 + k - 539
What is the p'th term of -529, -1403, -2277, -3151, -4025, -4899?
-874*p + 345
What is the d'th term of -142808, -285615, -428422?
-142807*d - 1
What is the a'th term of -20172, -40342, -60512?
-20170*a - 2
What is the i'th term of 1220, 4943, 11164, 19889, 31124, 44875, 61148, 79949?
i**3 + 1243*i**2 - 13*i - 11
What is the x'th term of -15, -116, -431, -1080, -2183?
-20*x**3 + 13*x**2 - 8
What is the r'th term of -1314, -2300, -3286, -4272, -5258?
-986*r - 328
What is the c'th term of 1976, 3970, 5966, 7964, 9964, 11966?
c**2 + 1991*c - 16
What is the k'th term of 2274, 4426, 6578?
2152*k + 122
What is the a'th term of 151824, 303643, 455460, 607275, 759088, 910899, 1062708?
-a**2 + 151822*a + 3
What is the a'th term of 938, 1857, 2766, 3665, 4554, 5433?
-5*a**2 + 934*a + 9
What is the s'th term of 44, 20, -24, -88, -172?
-10*s**2 + 6*s + 48
What is the d'th term of 128, -56, -362, -790, -1340?
-61*d**2 - d + 190
What is the y'th term of -2598, -2714, -2902, -3162?
-36*y**2 - 8*y - 2554
What is the x'th term of 29921, 29925, 29931, 29939, 29949, 29961?
x**2 + x + 29919
What is the b'th term of -21976, -43968, -65958, -87946, -109932?
b**2 - 21995*b + 18
What is the m'th term of 35, 44, 37, 26, 23, 40, 89?
2*m**3 - 20*m**2 + 55*m - 2
What is the h'th term of 6189591, 6189593, 6189595, 6189597?
2*h + 6189589
What is the t'th term of -180, -18, 144, 306, 468, 630?
162*t - 342
What is the u'th term of 4168, 4167, 4164, 4159, 4152, 4143?
-u**2 + 2*u + 4167
What is the t'th term of 1092, 1021, 954, 891, 832, 777?
2*t**2 - 77*t + 1167
What is the s'th term of 19582, 39168, 58754, 78340?
19586*s - 4
What is the w'th term of 316232, 632464, 948696?
316232*w
What is the x'th term of 1312, -1084, -3480, -5876, -8272?
-2396*x + 3708
What is the m'th term of 9509, 19048, 28639, 38288, 48001?
m**3 + 20*m**2 + 9472*m + 16
What is the y'th term of -215009, -215006, -215003, -215000?
3*y - 215012
What is the b'th term of -1160, -2397, -3634, -4871, -6108, -7345?
-1237*b + 77
What is the l'th term of 930, 1881, 2904, 4035, 5310?
6*l**3 + 909*l + 15
What is the x'th term of -3888, -7204, -10522, -13842, -17164, -20488?
-x**2 - 3313*x - 574
What is the c'th term of 198, 1, -628, -1695, -3206, -5167, -7584?
-c**3 - 210*c**2 + 440*c - 31
What is the t'th term of -730, -1321, -2926, -6049, -11194, -18865?
-84*t**3 - 3*t**2 + 6*t - 649
What is the w'th term of 1785, 1844, 1903?
59*w + 1726
What is the b'th term of 4526662, 9053324, 13579986, 18106648, 22633310?
4526662*b
What is the r'th term of 33053, 33056, 33059, 33062, 33065?
3*r + 33050
What is the b'th term of 77, 135, 181, 215, 237, 247?
-6*b**2 + 76*b + 7
What is the r'th term of 190, 211, 244, 289, 346, 415, 496?
6*r**2 + 3*r + 181
What is the w'th term of -23, -142, -277, -434, -619, -838, -1097?
-w**3 - 2*w**2 - 106*w + 86
What is the c'th term of 183, 633, 1383, 2433?
150*c**2 + 33
What is the k'th term of -348, -1284, -2850, -5046, -7872, -11328?
-315*k**2 + 9*k - 42
What is the h'th term of 245, 505, 771, 1043, 1321, 1605, 1895?
3*h**2 + 251*h - 9
What is the m'th term of 610, 2401, 5370, 9517?
589*m**2 + 24*m - 3
What is the c'th term of 142, 549, 1220, 2155, 3354, 4817, 6544?
132*c**2 + 11*c - 1
What is the s'th term of -6725, -6827, -6915, -6983, -7025, -7035, -7007?
s**3 + s**2 - 112*s - 6615
What is the q'th term of -170, -372, -574, -776, -978, -1180?
-202*q + 32
What is the l'th term of -157, -1278, -4337, -10306, -20157, -34862?
-162*l**3 + 3*l**2 + 4*l - 2
What is the p'th term of -32239, -64492, -96745, -128998?
-32253*p + 14
What is the f'th term of -156698, -156695, -156692, -156689?
3*f - 156701
What is the j'th term of 324, 307, 276, 225, 148?
-j**3 - j**2 - 7*j + 333
What is the c'th term of -16, -133, -434, -1003, -1924, -3281, -5158?
-14*c**3 - 8*c**2 + 5*c + 1
What is the y'th term of -4018, -16067, -36150, -64267, -100418, -144603?
-4017*y**2 + 2*y - 3
What is the g'th term of -12, 31, 158, 405, 808, 1403, 2226, 3313?
6*g**3 + 6*g**2 - 17*g - 7
What is the q'th term of 18456, 18458, 18462, 18468, 18476?
q**2 - q + 18456
What is the v'th term of 4301, 8990, 13675, 18356, 23033, 27706, 32375?
-2*v**2 + 4695*v - 392
What is the d'th term of -42, -123, -242, -387, -546, -707, -858, -987?
2*d**3 - 31*d**2 - 2*d - 11
What is the t'th term of -14697, -58785, -132263, -235131?
-14695*t**2 - 3*t + 1
What is the f'th term of -132, -629, -1490, -2715, -4304, -6257?
-182*f**2 + 49*f + 1
What is the i'th term of -9421, -9456, -9515, -9598, -9705?
-12*i**2 + i - 9410
What is the u'th term of -467, -233, 399, 1627, 3649, 6663, 10867, 16459?
33*u**3 + u**2 - 501
What is the y'th term of 235, 2084, 7139, 17002, 33275, 57560, 91459, 136574?
267*y**3 + y**2 - 23*y - 10
What is the x'th term of 748, 432, 116, -200, -516?
-316*x + 1064
What is the v'th term of -644, -2556, -5742, -10202?
-637*v**2 - v - 6
What is the c'th term of -16404, -16403, -16402, -16401, -16400, -16399?
c - 16405
What is the g'th term of -44121, -88241, -132361, -176481?
-44120*g - 1
What is the j'th term of -1961, -7817, -17569, -31211, -48737, -70141, -95417?
j**3 - 1954*j**2 - j - 7
What is the j'th term of 466, 3768, 12734, 30196, 58986, 101936, 161878?
472*j**3 - 2*j - 4
What is the x'th term of 9989, 20021, 30057, 40097, 50141, 60189, 70241?
2*x**2 + 10026*x - 39
What is the o'th term of 495, 982, 1499, 2052, 2647, 3290, 3987, 4744?
o**3 + 9*o**2 + 453*o + 32
What is the p'th term of 122867, 122879, 122891, 122903, 122915, 122927?
12*p + 122855
What is the b'th term of 221, 588, 941, 1274, 1581, 1856, 2093, 2286?
-b**3 - b**2 + 377*b - 154
What is the z'th term of -81630, -81623, -81602, -81561, -81494, -81395, -81258, -81077?
z**3 + z**2 - 3*z - 81629
What is the c'th term of 203, 748, 1659, 2942, 4603, 6648, 9083, 11914?
c**3 + 177*c**2 + 7*c + 18
What is the j'th term of -1966, -1738, -1428, -994, -394, 414, 1472, 2822?
7*j**3 - j**2 + 182*j - 2154
What is the l'th term of -380, -349, -300, -233, -148, -45?
9*l**2 + 4*l - 393
What is the o'th term of 19910, 19805, 19702, 19601?
o**2 - 108*o + 20017
What is the y'th term of -1669085, -3338171, -5007257, -6676343, -8345429, -10014515?
-1669086*y + 1
What is the w'th term of -202911, -202920, -202931, -202944, -202959?
-w**2 - 6*w - 202904
What is the b'th term of 207707, 415421, 623135, 830849, 1038563, 1246277?
207714*b - 7
What is the k'th term of -48568, -48534, -48500, -48466?
34*k - 48602
What is the j'th term of 39414, 78826, 118238, 157650?
3 | {
"pile_set_name": "DM Mathematics"
} |
ivided by 224.
99
Calculate the remainder when 1043 is divided by 55.
53
Calculate the remainder when 251 is divided by 15.
11
Calculate the remainder when 1032 is divided by 5.
2
What is the remainder when 719 is divided by 40?
39
What is the remainder when 502 is divided by 36?
34
Calculate the remainder when 262 is divided by 5.
2
What is the remainder when 878 is divided by 8?
6
Calculate the remainder when 318 is divided by 4.
2
Calculate the remainder when 208 is divided by 54.
46
Calculate the remainder when 492 is divided by 38.
36
What is the remainder when 2413 is divided by 35?
33
Calculate the remainder when 235 is divided by 37.
13
Calculate the remainder when 118 is divided by 65.
53
Calculate the remainder when 1290 is divided by 108.
102
Calculate the remainder when 107 is divided by 28.
23
What is the remainder when 692 is divided by 343?
6
What is the remainder when 1827 is divided by 85?
42
Calculate the remainder when 229 is divided by 180.
49
What is the remainder when 188 is divided by 39?
32
Calculate the remainder when 490 is divided by 161.
7
What is the remainder when 719 is divided by 359?
1
What is the remainder when 654 is divided by 14?
10
What is the remainder when 430 is divided by 27?
25
Calculate the remainder when 5523 is divided by 85.
83
Calculate the remainder when 8207 is divided by 171.
170
What is the remainder when 1080 is divided by 16?
8
Calculate the remainder when 1107 is divided by 1100.
7
What is the remainder when 17 is divided by 15?
2
What is the remainder when 88 is divided by 60?
28
Calculate the remainder when 106 is divided by 21.
1
Calculate the remainder when 562 is divided by 15.
7
What is the remainder when 340 is divided by 118?
104
Calculate the remainder when 2938 is divided by 1469.
0
Calculate the remainder when 134 is divided by 17.
15
Calculate the remainder when 1534 is divided by 24.
22
Calculate the remainder when 250 is divided by 23.
20
What is the remainder when 9776 is divided by 1085?
11
What is the remainder when 7469 is divided by 14?
7
What is the remainder when 237 is divided by 55?
17
Calculate the remainder when 36 is divided by 28.
8
What is the remainder when 967 is divided by 54?
49
Calculate the remainder when 1575 is divided by 116.
67
What is the remainder when 186 is divided by 62?
0
Calculate the remainder when 94 is divided by 33.
28
Calculate the remainder when 456 is divided by 29.
21
Calculate the remainder when 151 is divided by 11.
8
Calculate the remainder when 1168 is divided by 384.
16
Calculate the remainder when 4681 is divided by 66.
61
Calculate the remainder when 1054 is divided by 27.
1
What is the remainder when 23409 is divided by 23?
18
Calculate the remainder when 41 is divided by 7.
6
Calculate the remainder when 63 is divided by 17.
12
Calculate the remainder when 1379 is divided by 30.
29
What is the remainder when 526 is divided by 13?
6
What is the remainder when 298 is divided by 274?
24
What is the remainder when 1384 is divided by 116?
108
Calculate the remainder when 177 is divided by 10.
7
Calculate the remainder when 1527 is divided by 8.
7
What is the remainder when 707 is divided by 179?
170
Calculate the remainder when 398 is divided by 11.
2
Calculate the remainder when 1496 is divided by 1481.
15
What is the remainder when 431 is divided by 109?
104
What is the remainder when 4290 is divided by 58?
56
What is the remainder when 89 is divided by 18?
17
Calculate the remainder when 3481 is divided by 1150.
31
Calculate the remainder when 147 is divided by 113.
34
Calculate the remainder when 130 is divided by 35.
25
What is the remainder when 277 is divided by 71?
64
Calculate the remainder when 589 is divided by 167.
88
Calculate the remainder when 113 is divided by 50.
13
Calculate the remainder when 6032 is divided by 85.
82
What is the remainder when 954 is divided by 934?
20
What is the remainder when 224 is divided by 174?
50
Calculate the remainder when 234 is divided by 37.
12
What is the remainder when 4157 is divided by 73?
69
Calculate the remainder when 1826 is divided by 11.
0
Calculate the remainder when 4065 is divided by 51.
36
What is the remainder when 5597 is divided by 32?
29
What is the remainder when 656 is divided by 215?
11
What is the remainder when 239 is divided by 40?
39
What is the remainder when 31 is divided by 17?
14
Calculate the remainder when 2147 is divided by 25.
22
What is the remainder when 16 is divided by 10?
6
What is the remainder when 69 is divided by 40?
29
What is the remainder when 693 is divided by 257?
179
Calculate the remainder when 691 is divided by 15.
1
Calculate the remainder when 135 is divided by 3.
0
What is the remainder when 1608 is divided by 62?
58
What is the remainder when 849 is divided by 37?
35
What is the remainder when 1550 is divided by 759?
32
Calculate the remainder when 259 is divided by 62.
11
What is the remainder when 38 is divided by 26?
12
Calculate the remainder when 5542 is divided by 84.
82
What is the remainder when 5401 is divided by 14?
11
What is the remainder when 3535 is divided by 29?
26
What is the remainder when 137 is divided by 22?
5
What is the remainder when 2130 is divided by 26?
24
Calculate the remainder when 591 is divided by 98.
3
Calculate the remainder when 328 is divided by 30.
28
What is the remainder when 757 is divided by 160?
117
What is the remainder when 338 is divided by 43?
37
What is the remainder when 278 is divided by 18?
8
Calculate the remainder when 167 is divided by 85.
82
Calculate the remainder when 141 is divided by 26.
11
What is the remainder when 1707 is divided by 156?
147
What is the remainder when 231 is divided by 10?
1
Calculate the remainder when 171 is divided by 161.
10
Calculate the remainder when 22882 is divided by 49.
48
Calculate the remainder when 263 is divided by 19.
16
Calculate the remainder when 32 is divided by 7.
4
What is the remainder when 415 is divided by 131?
22
What is the remainder when 6955 is divided by 151?
9
What is the remainder when 55 is divided by 30?
25
What is the remainder when 404 is divided by 99?
8
Calculate the remainder when 641 is divided by 302.
37
Calculate the remainder when 114 is divided by 62.
52
What is the remainder when 2056 is divided by 20?
16
What is the remainder when 743 is divided by 24?
23
Calculate the remainder when 1452 is divided by 135.
102
What is the remainder when 271 is divided by 99?
73
Calculate the remainder when 94959 is divided by 98.
95
What is the remainder when 106 is divided by 92?
14
What is the remainder when 658 is divided by 12?
10
What is the remainder when 51 is divided by 41?
10
What is the remainder when 370 is divided by 31?
29
Calculate the remainder when 79 is divided by 27.
25
What is the remainder when 43 is divided by 3?
1
What is the remainder when 97 is divided by 17?
12
What is the remainder when 1456 is divided by 27?
25
Calculate the remainder when 552 is divided by 102.
42
Calculate the remainder when 1147 is divided by 5.
2
Calculate the remainder when 66 is divided by 24.
18
Calculate the remainder when 134 is divided by 34.
32
Calculate the remainder when 12397 is divided by 50.
47
What is the remainder when 110 is divided by 30?
20
What is the remainder when 295 is divided by 11?
9
Calculate the remainder when 5197 is divided by 25.
22
Calculate the remainder when 2238 is divided by 20.
18
Calculate the remainder when 313 is divided by 81.
70
What is the remainder when 1030 is divided by 179?
135
Calculate the remainder when 1806 is divided by 18.
6
What is the remainder when 776 is divided by 16?
8
What is the remainder when 668 is divided by 243?
182
What is the remainder when 1206 is divided by 22?
18
Calculate the remainder when 117 is divided by 39.
0
Calculate the remainder when 130 is divided by 19.
16
Calculate the remainder when 2483 is divided by 4.
3
Calculate the remainder when 2267 is divided by 6.
5
Calculate the remainder when 199 is divided by 10.
9
Calculate the remainder when 173 is divided by 26.
17
What is the remainder when 582 is divided by 9?
6
Calculate the remainder when 1229 is divided by 8.
5
Calculate the remainder when 478 is divided by 24.
22
Calculate the remainder wh | {
"pile_set_name": "DM Mathematics"
} |
/10)*o)) assuming o is positive.
o**(2049/70)
Simplify d**(-3/11)*d**(-4)*(d**6)**(-11/2) assuming d is positive.
d**(-410/11)
Simplify j/j**(-14)*(j*j/(j/j**(-3)))/j*(j*j*j**(-3/4))/j**12 assuming j is positive.
j**(5/4)
Simplify (y**(-12)/y**(18/5))/((((y*y/y**(-4/3))/y)/y)/(y*((y**(9/4)/y)/y*y)/y)) assuming y is positive.
y**(-941/60)
Simplify (y**(-11)/(y/y**(6/11)*y))/(y**(-17)/(y/(y*y/((y**(-1/9)*y*y)/y))*y)) assuming y is positive.
y**(538/99)
Simplify ((r**(-2/3)*r*r)**(2/79)/(r**(-2/5)*r/r**2))**(-5/3) assuming r is positive.
r**(-1699/711)
Simplify (k/((k**(4/5)*k)/k)*k*k*k**(-1/7))/(k**18/k*k*k/k**(-17)) assuming k is positive.
k**(-1188/35)
Simplify ((z*(z*z**8)/z*z)/z**(-2/9)*z/(z*z*z**(-7)/z)*(z/(z*z**(-5)))/z*z)**(14/5) assuming z is positive.
z**(560/9)
Simplify ((w/((w*w*w**(-2/3))/w)*w)**4/((w**(2/9)*w)/((w/(((w*w**7)/w*w)/w*w))/w)))**33 assuming w is positive.
w**(-253/3)
Simplify ((v**(-1/4)/v*v)/(v**(-2/21)*v))/(v**(-10)*v**(-4)) assuming v is positive.
v**(1079/84)
Simplify (c*c**(-9))/(c**(3/4)/c)*(c**(-2)*c)**(1/14) assuming c is positive.
c**(-219/28)
Simplify ((f**(-11))**(4/29))**(-1/53) assuming f is positive.
f**(44/1537)
Simplify (((n/(n/(n**(1/7)*n)*n))/n**(-1/3))**(10/3))**(4/11) assuming n is positive.
n**(400/693)
Simplify ((s/s**(-16)*s**(-17)*s*s)**21)**(-2/101) assuming s is positive.
s**(-84/101)
Simplify ((v*(v*v**(-1/27))/v*v)**(-3/26))**34 assuming v is positive.
v**(-901/117)
Simplify ((b**(-11)*b)/b)**(-5/8)*(b**3)**(1/19) assuming b is positive.
b**(1069/152)
Simplify (b**(8/9)/(b/(b/(b/b**(-1/5)))))/(((b/(b*b**(-1/3))*b*b)/b)/b*(b/b**(-2/7))/b*b) assuming b is positive.
b**(-608/315)
Simplify ((h*(h*h**1)/h*h**(-2/13))/(h**(-2/11)/(h/(h*(h/h**(1/4))/h*h))))**(-33) assuming h is positive.
h**(-2193/52)
Simplify (((r**1*r*r)/r*(r*r**(-2/9))/r)/(r/(r**(-6)*r)*r/(r**(1/3)/r)))**(23/6) assuming r is positive.
r**(-1219/54)
Simplify (g**(3/7))**(-1/34)/(g*g**(-5/6)/g*g*g*g/(g*(g/(g/g**(-2/41)*g*g))/g)) assuming g is positive.
g**(-61886/14637)
Simplify ((b**1)**(2/29)/((b/b**(-2/13))/b*b**5))**(-27) assuming b is positive.
b**(51759/377)
Simplify ((b/((((b/(b**(8/9)/b)*b*b)/b)/b)/b*b))/b**(1/57))/(b**(-3)/(b*b**(3/16)/b*b)) assuming b is positive.
b**(11105/2736)
Simplify (g*g/g**(2/9))**(-25)*g*g/g**(3/5)*g*g**(-14) assuming g is positive.
g**(-2522/45)
Simplify (k*k/((k**(-14/9)/k*k)/k)*k/(k/k**7))/(k**5)**(21/8) assuming k is positive.
k**(-113/72)
Simplify (((x**(2/29)/x)/x**5)/(x**6*x**(-7)))**(-41) assuming x is positive.
x**(5863/29)
Simplify (a/(a*a*a**(-6/7)))/a*a*a**(2/11)*a*a**(2/7)/(a**(-1)/a) assuming a is positive.
a**(256/77)
Simplify ((u*u*u**(-21/4)*u)**(-14))**(-17/3) assuming u is positive.
u**(-357/2)
Simplify ((b**(2/35)*(b*b*b/(b/(b*((b**8/b*b)/b)/b*b))*b)/b)**(-2/75))**(-2/79) assuming b is positive.
b**(1408/207375)
Simplify (j**(2/3)*j/(j*j**(-1/11))*j**1*j**(2/7)*j)**(2/5) assuming j is positive.
j**(1406/1155)
Simplify ((c/c**1)**(-20)/((c*c**3/c*c*c)/c)**(-47))**42 assuming c is positive.
c**7896
Simplify ((g/((g*g/(g**(-2/15)/g))/g))/g)/(g*g**(-4/7))*((g/(g**17*g*g))/g)/((g*(g*g/(g/g**3))/g*g)/g) assuming g is positive.
g**(-2684/105)
Simplify a*a/(a/(a/a**0))*a*a**(-1/8)*a**(2/15)*a*a**(8/7)/a*a assuming a is positive.
a**(4327/840)
Simplify (q**22*q/q**1)**(3/38) assuming q is positive.
q**(33/19)
Simplify ((l**(-15)*l)/(l**(-1/6)*l))/(l**(-3/4)*l**(3/11)) assuming l is positive.
l**(-1895/132)
Simplify (g/(g*g**(1/8))*g)**(-4/13)*g/(g*g**(-9/5))*(g**(-14)*g*g)/g assuming g is positive.
g**(-1491/130)
Simplify (x**0*x**(-2)*x/(x/(((x*x**(-6/7)*x*x)/x)/x))*x*x**(1/4))**(2/15) assuming x is positive.
x**(-17/210)
Simplify (v**(-1/2))**49/(v/v**(2/3))**11 assuming v is positive.
v**(-169/6)
Simplify w**(5/9)*(w/(w**2*w))/w*w*((w*w**(-3/10)*w)/w)**(3/43) assuming w is positive.
w**(-5401/3870)
Simplify (r**5)**18/(r/(r/r**(-2/31)*r))**(3/14) assuming r is positive.
r**(39159/434)
Simplify (j**(1/4))**(-41)*j*j**(-19)*j**(-20) assuming j is positive.
j**(-193/4)
Simplify (l**(-6)*l*l*l**(-6)/l*l*l*((l**0*l*l)/l)**(2/127))**(6/19) assuming l is positive.
l**(-6846/2413)
Simplify (f/(f/(f*f/(f/(f/((f**(-3/4)/f)/f)))*f))*f)/(f/(f*f*f*f**(-1/2)*f))*(f**2)**1 assuming f is positive.
f**(45/4)
Simplify (((f**(5/7)/f)/(f**(-1/20)/f))**9)**(-11) assuming f is positive.
f**(-10593/140)
Simplify (p**11)**34*p**2/p**(-2/19) assuming p is positive.
p**(7146/19)
Simplify ((((u*u**(-2))/u)**(1/64))**(-26))**30 assuming u is positive.
u**(195/8)
Simplify ((l**4/(l*l/(l/(l**2/l))*l*l))/(((l**(1/6)*l*l)/l)/((l*l*l**0*l*l)/l*l)))**(4/27) assuming l is positive.
l**(34/81)
Simplify (l**18)**(-3/22)*(l*l/(l/l**(-17)))/(l/((l/l**(-12)*l)/l)) assuming l is positive.
l**(-71/11)
Simplify ((i/(i*i**(-1)*i))**(-1/63)*(i**(-1/2)*i)**(-1))**22 assuming i is positive.
i**(-11)
Simplify ((((p**(3/2)/p)/p)/p*p**(-3/11))/(p*p**(2/5))**(-28))**(-28) assuming p is positive.
p**(-57638/55)
Simplify ((((l*l**(-20)*l*l)/l*l)/l*l)/(l/((((l/l**23)/l)/l)/l)))/(l**(-2/57))**0 assuming l is positive.
l**(-43)
Simplify ((m**(-6)/m*m*m*m*m**1)/(m**(-12)*m*m**(3/13)))**(-2/15) assuming m is positive.
m**(-202/195)
Simplify (w/w**(-5))**(6/5)/(w**(-3))**(-34) assuming w is positive.
w**(-474/5)
Simplify ((u**(1/4)/u)**(-8/5)/(u*u**(1/5)*u/((u**(-2)*u*u)/u)*u*u))**(-1/8) assuming u is positive.
sqrt(u)
Simplify (g/(g*g*(g/g**(4/9))/g))/g**(2/17)*(g**2)**(-10/7) assuming g is positive.
g**(-3781/1071)
Simplify p**22*p/(p/p**27)*(p**(2/27))**25 assuming p is positive.
p**(1373/27)
Simplify ((a*a**19/a)/(a*a**16))/(a**(-9)/(a/((a/(a*a*a**(-16)))/a))) assuming a is positive.
a**(-2)
Simplify (m*m**(-2/11))**6*(m*m/(m**(-11)*m))/((m**(-6/7)*m*m)/m) assuming m is positive.
m**(1291/77)
Simplify (n**0*n)**(-39)/(n**(-5)/(n*n**(-3/4))) assuming n is positive.
n**(-135/4)
Simplify j**(-13/3)/j**(1/30)*(j**(6/7)/j*j)**(1/22) assuming j is positive.
j**(-9997/2310)
Simplify (((k**(2/15)/k)/((k**(-8/5)*k)/k))**(-37))**(12/11) assuming k is positive.
k**(-148/5)
Simplify y**(1/2)/(y*y**(-1/10))*((y**(-15)/y*y)/y)/y**(-1/5) assuming y is positive.
y**(-81/5)
Simplify ((c**(-1/15)/c)/(c*(c/c**25)/c))**6 assuming c is positive.
c**(688/5)
Simplify (y*y**(4/5))/y**(-4)*(y*y**(-8))/y**(-12) assuming y is positive.
y**(54/5)
Simplify (k**7*(k**(-10/7)*k)/k)/((k/(k**2/k))/(k*k*k/(k*k/(((k*k/(((k*k/(k*k*k**(-1)))/k)/k)*k)/k)/k)*k))) assuming k is positive.
k**(53/7)
Simplify ((x*x**(-3/4))/x*x)**(-1/47)/(x**1*x**23) assuming x is positive.
x**(-4513/188)
Simplify ((g/(g/g**(11/4))*g)/g*g*g**29*g)**(-24) assuming g is positive.
g**(-810)
Simplify d**20*d**(-13/3)*d**12*d/(d*d**(13/2)*d) assuming d is positive.
d**(121/6)
Simplify ((c**(-1/4))**(6/5)*(c/(c*c**(2/3)))**(37/2))**(-4/37) assuming c is positive.
c**(758/555)
Simplify ((f**6/f)/((f/(f/((f*f*(f**(-2/5)*f)/f*f)/f)))/f)*f**(5/2)*f**(-2/7))**18 assuming f is positive.
f**(4167/35)
Simplify (z/(z*z**(1/2)))**(-23/2)*z**(2/15)*(z*z/z**0)/z assuming z is positive.
z**(413/60)
Simplify ((m*((m*m*m**(1/6)*m)/m)/m)/m)**(-42)/(m**(-1/4)*m**8) assuming m is positive.
m**(-227/4)
Simplify (i**(4/17)/i*i*((i/(i/(i*(i/(i**(-3/11)/i))/i*i)))/i)/i)/((i*i/(i**(-4/11)/i)*i)/(i/i**(-1/15))) assuming i is positive.
i**(-5018/2805)
Simplify (i*i*i*i**2)**30*i/(i/i**(-3/7)*i)*i/i**13 assuming i is positive.
i**(956/7)
Simplify (d**(-10/11))**7*(d**16*d)/(d/d**28) assuming d is positive.
d**(414/11)
Simplify ((f/f**5)/f**(7/4))/(f*(f/(f/(f**4/f)))/f*f/(f/f**(-4))*f) assuming f is positive.
f**(-23/4)
Simplify (w/((w/w**2*w)/w*w))/w**(-14)*((w**(-1)/w)/w)**(10/13) assuming w is positive.
w**(165/13)
Simplify (u**(2/7)*u*u**(-10)*u)/(u/(u**2/u)*u*u/(((((u*u**(-1/7))/u)/u)/u)/u)) assuming u is positive.
u**(-90/7)
Simplify (p**(-2)*p/(p/(p**4*p)))/(p**(1/5)*p*p*p/p**(-2)*p) assuming p is positive.
p**(-16/5)
Simplify ((g/((g**(-19/4)/g)/g*g))/g*g*g*(g/(g/g**(2/37))*g)/g)/(g**(-2/13)*g*g/(g*g/g**(-19/5))) assuming g is positive.
g**(113111/9620)
Simplify ((l*l/l**2)/l*(l*l**(-1/2))/l)/((l*l/l**(2/3))/((l*l*l/((l**(-3)/l)/l))/l)) assuming l is positive.
l**(25/6)
Simplify s*s/(s/s**(-12))*s**(-3/14)*(s/((s/s**(-8/7)*s*s)/s))/(s**(-12)/s) assuming s is positive.
s**(-5/14)
Simplify (k**17*k)**(1/46)/(k**(-16)/ | {
"pile_set_name": "DM Mathematics"
} |
st common factor of 17 and w?
17
Let o(s) = 2*s + 4. Let d be o(6). Calculate the highest common divisor of 40 and d.
8
Suppose -4 = 3*a - 1. Let v be -15*(14/(-10) - a). Let x = 0 - -4. Calculate the highest common divisor of v and x.
2
Let m(w) = -2*w**2 + 2*w + 0*w**3 + 6*w**2 + 4 + w**3 + w. Let p be m(4). Calculate the highest common divisor of 16 and p.
16
Let g = -8 + 4. Let p(h) = -2*h - 4. Let w be p(g). Suppose -w*x - 2 = -14. Calculate the highest common divisor of x and 18.
3
Let j be ((-63)/(-15) - -3)*20/3. What is the highest common factor of j and 6?
6
Let s(w) = -w + 6. Let x be s(2). Suppose x = m, -m - 27 = -3*f + 17. What is the highest common divisor of 40 and f?
8
Let f = -65 + 125. What is the highest common factor of f and 24?
12
Suppose 5*r - 4*u = 192, 72 = 2*r + u - 10. Let s(g) = g + 17. Let d be s(-12). Calculate the highest common divisor of r and d.
5
Let c(w) be the first derivative of -2*w**3/3 + 2*w**2 - 10*w - 3. Let h be c(8). Let a = h - -181. Calculate the highest common factor of a and 30.
15
Let x(h) = h**3 + 15*h**2 - 2*h - 22. Let i be x(-15). Let d be 10/(-3)*(-24)/10. What is the greatest common factor of i and d?
8
Suppose 0 = -y + 2*r + 170, -3*y - 2*r + 537 = r. What is the highest common divisor of 16 and y?
16
Let q be -2*1/((-2)/16). Suppose -4*w + q = v - 24, 5*v + 5*w - 260 = 0. Calculate the highest common factor of v and 14.
14
Let g be (6 - 1)/(1*-1). Let y = -1 - -9. Let v = y + g. Calculate the highest common divisor of v and 15.
3
Suppose 0 = 3*n - 3*w - 33, -2*n - 2*w + 8 = -34. Suppose -f - 4*f + 400 = 0. What is the highest common divisor of f and n?
16
Suppose 2*l + 0 = 14. Calculate the greatest common divisor of l and 35.
7
Suppose 5*q + 273 = m - 3*m, 0 = q + 2*m + 53. Let i be (-163)/(-11) - 10/q. Suppose -l = -6*l + 75. What is the greatest common factor of l and i?
15
Suppose 45*f + 50 = 50*f. What is the highest common divisor of 80 and f?
10
Let a(d) = 14*d + 4. Let l be a(-3). Let z = 21 + l. Let s = z - -38. What is the greatest common divisor of 14 and s?
7
Let t be 30/(-80) - 211/(-8). What is the greatest common divisor of t and 52?
26
Let l(j) be the first derivative of j**2/2 + 7*j + 1. Let q be l(-3). Calculate the greatest common factor of q and 32.
4
Let a(x) = x**3 - 9*x**2 + 11*x - 2. Let p be a(8). Let i = -14 - -58. Calculate the highest common divisor of p and i.
22
Let i = 21 + -19. Suppose -1 = i*h - 11. What is the greatest common factor of h and 40?
5
Let z = 69 + -61. Calculate the highest common divisor of z and 200.
8
Let r = 11 - 7. Suppose r*c + 4*q - 12 = 0, -4*c + 7 + 4 = 5*q. Calculate the highest common divisor of c and 10.
2
Suppose -r + 3*r - 4*g = 6, 0 = -5*r + 2*g - 9. Let v be 2 - r - (-7)/7. Calculate the greatest common factor of v and 2.
2
Suppose 0 = -4*c - 5*n + 36, -3*c - 2*n + 4 + 23 = 0. Let r be 1 + 2 + -2 + 0. Let z be 5 - (0/1 - r). What is the highest common divisor of z and c?
3
Let x(n) = -n**2 + n + 8. Let w be x(0). Let a(t) = -29*t + 6. Let c be a(-2). What is the highest common divisor of c and w?
8
Suppose -76 = 3*p - 5*p. Suppose -p = -3*l - 5. What is the highest common factor of 55 and l?
11
Suppose 8 = -h - 6. Let p = 4 - 34. Let b = h - p. What is the highest common divisor of b and 32?
16
Suppose n - 2*a + 1 = 46, -3*n - 3*a = -108. Calculate the highest common factor of n and 52.
13
Let q = 240 + -159. What is the highest common factor of q and 9?
9
Let l be ((-2)/(-8))/((-2)/(-16)). Let w be 1 + 43 - 1*l. Let g = -2 + 9. Calculate the greatest common divisor of w and g.
7
Let j be (-32)/(-6)*(-9)/(-6). Let l be (9/(-15))/(2/(-10)). Suppose l*t + 2*f - 4 = -2*t, t = 2*f + 8. Calculate the greatest common divisor of t and j.
2
Suppose -108 = -4*w - 0. Let f = w - 16. Calculate the highest common divisor of f and 121.
11
Let w be 12*6/16*-18. Suppose t - 2*t - 57 = 0. Let h = t - w. What is the highest common factor of 16 and h?
8
Let h = -13 + 19. Let r = h + -3. Suppose -4*m - 14 = -4*x + 10, 0 = -4*x - r*m + 52. Calculate the highest common divisor of x and 5.
5
Let q(d) = -d + 7. Suppose 0 = 4*w - 0*w - 20. Let t be q(w). Suppose -t*z - 4*m = -m - 6, -5*m = z - 3. What is the highest common factor of 27 and z?
3
Suppose -5*p + 40 = -0*p. Let g be (0 - 3)*10/6. Let y = 13 + g. Calculate the highest common divisor of p and y.
8
Let w be (-12 + 4)/(4/(-10)). What is the highest common factor of 2 and w?
2
Suppose 5*o + 1 + 1 = -3*s, -3*s = -3*o + 42. Let h = s + 25. What is the highest common divisor of h and 64?
16
Let t = -2 - -2. Suppose t = -5*g - 2*b + 27 + 55, -3*b = -5*g + 77. Calculate the greatest common factor of g and 32.
16
Let w = 135 - 83. Suppose 3*l + 4*m - 44 = 9*m, 4*m + 4 = 0. What is the greatest common divisor of w and l?
13
Suppose -5*j - 44 = -2*b - b, -3*j = 5*b - 130. Let h = -11 - -10. Let w = h + b. Calculate the highest common factor of 55 and w.
11
Let g(w) = w**3 - 12*w**2 - 11*w + 16. Let d be g(13). Let r = d - 24. What is the highest common factor of r and 126?
18
Let w(y) = 0*y - 1 + 11 - 2*y + y. Let u be w(0). What is the greatest common divisor of 2 and u?
2
Let t(d) = d**2 + 4*d + 4. Let c be t(-7). Let u(s) = -s + 7. Let b be u(8). Let x be 1197/6 - b/2. Calculate the greatest common divisor of c and x.
25
Suppose 519 = -5*j + 8*j. Let y = -83 + j. What is the highest common factor of y and 10?
10
Suppose 2*k + 2*u - 43 = 75, 5*u = -4*k + 238. What is the greatest common factor of k and 38?
19
Suppose 0 = -4*o - 3*k + 552, -5*o - 2*k + 659 = -6*k. What is the highest common factor of o and 15?
15
Let o(k) = 10*k**2 + 2*k - 1. Let f be o(-2). What is the highest common divisor of f and 5?
5
Suppose -5*i = -3*t + 130, -3*i = -i - 2. Calculate the greatest common divisor of t and 18.
9
Let b(j) = j**2 + 8*j + 10. Suppose 0 = -3*z - z + 5*s - 61, -z + 5*s = 34. Let d be b(z). What is the greatest common divisor of d and 171?
19
Let h(u) = u**3 + 7*u**2 + 4*u + 4. Let s be h(-5). What is the greatest common factor of 170 and s?
34
Let k(d) = 22*d**3 + 3*d**2 + d. Let a be k(3). Let h = -338 + a. Calculate the highest common divisor of 26 and h.
26
Let g = 0 + 3. Suppose 0*u - g*u = -30. Calculate the greatest common factor of 70 and u.
10
Suppose -c + 1 = -6*l + l, -4*c = 3*l - 50. Let i = c - -9. Suppose 2*n + j + j - 8 = 0, 0 = 4*n + 5*j - 12. Calculate the greatest common divisor of i and n.
4
Let h(i) = -25*i + 3. Let b be h(-4). Let v = -68 + b. Let c = -26 - -40. What is the greatest common factor of c and v?
7
Let j = 40 - 26. What is the greatest common factor of j and 14?
14
Let m(q) = -q + 59. Let o be m(15). Calculate the greatest common factor of 55 and o.
11
Let r(q) = q**3 - 4*q**2 + 1. Let m be r(4). Let n = 1 + m. Suppose 3*c = -n + 8. What is the highest common divisor of c and 2?
2
Suppose -2*d - 3*d = -4*g + 16, 0 = -5*d + g - 4. Suppose d = -8*n + 3*n + 10. Let m be (0 + n)/((-10)/(-65)). What is the greatest common divisor of m and 65?
13
Let y = 17 + 11. Suppose -1 = -2*m - 29. Let h = -7 - m. What is the greatest common divisor of h and y?
7
Let s = -67 - -96. Let q = -9 + s. Suppose 105 - q = 5*u. What is the greatest common factor of u and 136?
17
Let y(k) = -2*k**3 + k. Let g be y(-1). Let j be ((-22)/(-4))/(2/4). What is the highest common divisor of g and j?
1
Suppose 2*x = 3*k - 2*k - 311, 2*x = 10. Let q = -225 + k. Suppose -2*f = 0, 6*w - w = 5*f + 60. What is the highest common divisor of w and q?
12
Let u = -13 - -69. What is the highest common divisor of u and 7?
7
Let u be ((-60)/(-18))/((-2)/(-33)). Suppose 5*b - 2*g - u = 0, 32 = 4*b - 3*g - g. What is the greatest common divisor of b and 117?
13
Let t(n) = -14*n**3 - 3*n**2 - 13*n - 3. Let c be t(-3). Calculate the greatest common divisor of c and 43.
43
Suppose -4*g = -2*u + 2 - 0, -3*u = -15. Calculate the greatest common divisor of g and 3.
1
Let r = 10 - 6. Let v = -3 + r. Let i = 2 - v. Calculate the highest common factor of i and 4.
1
Suppose -12*b - 25 + 97 = 0. Calculate the highest common factor of b and 18.
6
Let r(j) = 31*j + 2. Let i be r(4). Let t be 2/3*-1*(-29 - -8). Calculate the greatest common divisor of i and t.
14
Suppose 2*n - 3 - 5 = 0. Suppose -m - 3 = 0, n*t + m = -3*m | {
"pile_set_name": "DM Mathematics"
} |
Suppose 2*c + 0*x - 22 = -4*x, -3*c = 5*x - 29. Calculate the lowest common multiple of c and n.
3
Let b(n) = -46*n + 358. What is the least common multiple of b(7) and 288?
288
What is the common denominator of 46/1503 and ((-10)/(-40) + 3/3)/((-12)/78)?
12024
Let l(c) = c**3 + 27*c**2 - 28*c - 39. Let d be l(-28). Find the common denominator of 6/d*1044/(-96) and 20/117.
468
Let t = -129337 - -30782139/238. Calculate the common denominator of t and -25/4.
476
Let g(m) = -m**3 - 4*m**2 - 4*m + 1. Let v be g(-3). Let p be 15*(-3)/150*v*-10. Suppose p*k - 10*k - 2 = 0. What is the lowest common multiple of 41 and k?
41
Let s = -35874/13 + 2758. Calculate the common denominator of s and 400/30 - 2/(-6).
39
Suppose 2*w + 20*k - 325 = 23*k, k - 657 = -4*w. Let t = 52 + -43. Calculate the smallest common multiple of t and w.
1476
Suppose 0 = 3*g - 9*g + 228. Let m be (-55)/(-975)*((-654)/g)/1. Let x = -27/130 - m. Find the common denominator of 53/8 and x.
152
Let x(q) be the second derivative of 5/12*q**4 + q**2 - 1/6*q**3 + 0 + 5*q. What is the least common multiple of 4 and x(2)?
20
Let s(k) = k**3 - 7*k**2 + 107*k - 594. Calculate the smallest common multiple of s(6) and 524.
1572
Let u be 220/495 - 419/(-9). Suppose -141 = -u*z + 141. What is the lowest common multiple of z and 46?
138
Let a = 13358 + -6158. Calculate the common denominator of 6105/a - (26/(-10) - -2) and -65/6.
96
Let b be (-26)/(-91) + (-3053914)/280. Let h = 10911 + b. Find the common denominator of 9/95 and h.
380
Let a = -7648/67 - -16876255/147869. Calculate the common denominator of 41/9 and a.
19863
Let h = 1504 - 1488. Let f = 9 + -6. Suppose s - f*s = -24. Calculate the least common multiple of s and h.
48
Let c(x) be the first derivative of 2*x**3/3 + 27*x**2/2 + 22*x - 48. Calculate the lowest common multiple of c(-14) and 12.
36
Let n = 9457 - 9385. Calculate the least common multiple of n and 1104.
3312
Let w(i) = -i**3 + 15*i**2 + 50*i + 86. What is the lowest common multiple of w(18) and 1824?
12768
Let w = -57663 - -3690509/64. Let d = -62722 + 9032119/144. What is the common denominator of w and d?
576
Let j(t) = -369*t + 3. Let x be j(-1). Calculate the common denominator of x/(-12)*(-3)/36 and ((-2)/6)/((-416)/(-102) - 4).
12
Let o = 10681 - 106901/10. Calculate the common denominator of (5320/608)/(5/14 + 1 + -1) and o.
10
Suppose -3*u = 4*z - 584, -3*u + 7*u + 5*z - 779 = 0. Let m = -99 + u. Calculate the lowest common multiple of 4 and m.
388
Let j = 173 + -171. Calculate the common denominator of 143/48 and -7 - (520/48 + j).
48
Suppose -14*s - 2570 = -3494. Suppose -4*n = -43 - 45. Calculate the lowest common multiple of n and s.
66
Suppose 4*n = 4*x + 116 - 468, 0 = -3*n + 6. Suppose -3*f + 5*k + 16 = -180, 3*f = -3*k + 228. Calculate the least common multiple of x and f.
360
Let s = 699481/2161720 - 60/4913. Calculate the common denominator of -13/2420 and s.
4840
Let k(s) = s**2 - 8*s - 65. Let d be k(19). Find the common denominator of -2 + 2/d*(-1324)/(-5) and -31/10.
90
Suppose 0 = -19*j + 20 + 892. Suppose 3*w - 19*w + j = 0. What is the lowest common multiple of w and 27?
27
Let g = -404231/96072 - 3/4003. Find the common denominator of g and (2 + (-50)/24)/((-4284)/483 - -9).
72
Let k be (44580/26)/5 + 4. Let m = -346 + k. Calculate the common denominator of m and -45/16.
208
Find the common denominator of 376/24*(-9)/192 and 1287/77*14/(-40).
320
Let w(v) = v**2 - 9*v - 29. Let j be w(11). Let t be -25*6*j/((-56)/6). Let x = -877/8 - t. Find the common denominator of x and 97/20.
40
Let q = -6607/52 + 127. What is the common denominator of q and 69/104?
104
Calculate the lowest common multiple of 31 and (-10)/((-70)/609) - (-1)/((-3)/(-18)).
93
Let x(o) = 122*o**2 + 5*o + 8. Let k be x(-3). Let f = 4331/4 - k. Calculate the common denominator of f and 77/2.
4
Let d(r) = -r**2 + 22*r - 27. Let c be d(17). Let w be 1 + -1 - 184/4. Let k = w + c. What is the lowest common multiple of 24 and k?
24
Let o = 11 - 7. Let f = 12/7075 + 218437/523550. Calculate the common denominator of f and o.
74
Let h(i) be the third derivative of -1/6*i**4 + 10*i**2 + 1/12*i**5 + 0 + 0*i + i**3 - 1/120*i**6. What is the smallest common multiple of h(4) and 7?
42
Suppose 3*x + 12 = -2*p + 7*x, -12 = -4*p - x. Let f be 33 + 0*(p - 3). Find the common denominator of 3*(152/f)/4 and 36.
11
Let l(j) = 45*j - 7. What is the lowest common multiple of (18/5)/(596/1490) and l(5)?
1962
Suppose 5 = i - 4. Calculate the smallest common multiple of i and (((-6)/(-18))/((-1)/1))/((-1301)/46836).
36
Calculate the common denominator of 2/2037 and (188/194)/(-137 - -159).
22407
Let z = 3345 - 26793/8. Let m be ((-69)/46)/(((-3)/(-1148))/(-1)). Calculate the common denominator of m/35*5/14 and z.
56
What is the lowest common multiple of ((2772/(-55))/9)/(4/(-1160)*4) and 4?
812
Let k be ((-2692)/(-5) - -1) + 57/95. Suppose 2*i + k = 17*i. What is the least common multiple of i and 4?
36
Let v(x) = -x**3 - 65*x**2 + 114*x - 1307. What is the smallest common multiple of v(-67) and 1078?
3234
Suppose -4*p = -5*l + 14, 0*p - 3*l = -5*p - 24. Let i be 1*-15 + (p - -5). Calculate the common denominator of 81/(-21)*14/i and 4/11.
88
Suppose -116 = 9*d + 73. Let f(w) = -w**2 - 26*w - 73. What is the smallest common multiple of 28 and f(d)?
224
Suppose 0 = 2*f + 5*j + 600, 0*f + 5*f + 3*j = -1462. Let q = f - -1468/5. Find the common denominator of (14/2)/(-1) - 336/(-54) and q.
45
Let f(b) = -2*b + 4. Let r be f(-3). What is the common denominator of (4 + (-50)/12)/(1760/480) and (-4)/r - 47/(-30)?
66
Suppose 168*m = 176*m + 704. Find the common denominator of (19 - 4)*((-244)/m + -3) and 19/3.
66
Let q(p) = -p**3 + 22*p**2 - 19*p + 54. Let y be q(16). Let z = 3799/3 - y. Let n = 2699/8 - 336. Find the common denominator of z and n.
24
Let d(p) = p - 1. Let q(y) = -5*y + 2. Let c(n) = -4*d(n) - q(n). Let l = -2462 - -2465. Calculate the least common multiple of l and c(7).
9
Suppose -56 = 6*o - 13*o. Let y be 6/(-27) + (-814)/(-18). Calculate the smallest common multiple of (-5 + 117/y)/(4/(-70)) and o.
168
Let r = -30946 - -31386. What is the smallest common multiple of r and 16?
880
Let d = 5386 + -4686. What is the lowest common multiple of 100 and d?
700
Suppose -19*o + 23*o + 1164 = 0. Calculate the common denominator of (o/(-4))/(0 + -2*3) and 25/18.
72
Suppose -5*l - 54 = 686. Let n = l + 154. Calculate the least common multiple of n and 84.
84
Let a be 2/(-4) + -35*(-9)/(-6). Calculate the common denominator of a/(-18) - (-98)/147 and (-191)/(-36) - (-1)/(-4).
18
Let h = -295386/17 - -701836541/40392. Find the common denominator of h and -137/2970.
11880
Let v = 115121/30192 - 188/51. Calculate the common denominator of 1/888 and v.
1776
Let m be ((-28)/(-6))/((-8)/(-48)). Suppose -4*j = 5*o - 47, -o + 12 = 3*o. Calculate the smallest common multiple of 4*(-4)/(-40) - m/(-5) and j.
24
Let i = 4664 - 4264. What is the smallest common multiple of 500 and i?
2000
Suppose 2*r + 148 = -5*d, 5*d + 3*r - 92 = -239. Suppose 2*o - 20 = -3*o. Find the common denominator of -119/10 and 30/22*5/d - o.
110
Let k(i) = 3*i + 96 - 60 - 42. What is the lowest common multiple of 144 and k(4)?
144
Let b = 15294 + -168868/11. Let a = b + 2796/55. What is the common denominator of a and (2 - 0)*-10*(-6)/(-66)?
55
Suppose 9 = 4*o + 1. Let m be 1/(-2*o/36). Find the common denominator of -46/9 and m/(-18)*10/(-9)*13.
9
Let k = -3083 - -3182. What is the smallest common multiple of k and 88?
792
Let k = 477 + -383. Calculate the smallest common multiple of k and 282.
282
Suppose m - 5*z = -75, -m + 3*z = 4*m + 485. What is the common denominator of -121/42 and ((-2)/m)/(18/(-1455))?
420
Let q = -1229/136 + 126/17. Let b = -67874 - -7466051/110. What is the common denominator of q and b?
440
Let r(c) = -c**3 - 37*c**2 + 119*c + 35. What is the lowest common multiple of 55 and r(-40)?
825
Suppose -100 - 1837 - 1327 = -68*d. What is the lowest common multiple of d and 400?
1200
Let u = -572 - -644. Suppose 3*r - 18 = u. What is the smallest common multiple of 27 and r?
270
Let a(p) = -2*p**3 + 30*p**2 + 163*p + 64. What is the least common multiple of 5 and a(19)?
1365
Suppose 5089 - 1087 = 23*m. Let b | {
"pile_set_name": "DM Mathematics"
} |
rt(8) + sqrt(2))).
-17*sqrt(3) + 4
Simplify (-1 + -4 + -1 + sqrt(147) + -3*(sqrt(147) + 0) + sqrt(147) + -3 + 2)**2 + 4.
98*sqrt(3) + 200
Simplify -4 + (((sqrt(72) + -1)**2 + 3)*-1 - sqrt(192)/sqrt(96)*1).
-80 + 11*sqrt(2)
Simplify (-6*(-2 + sqrt(40)/(1*sqrt(8))) - (2*(sqrt(5) + (sqrt(5) - sqrt(320))**2)*-1 + 5))*4.
-16*sqrt(5) + 1988
Simplify (1 + sqrt(500) + -4 + -4 + 5 + 4 + 1 + -4*(0 + sqrt(500)))**2.
-180*sqrt(5) + 4509
Simplify ((sqrt(99)*1 + sqrt(99) - sqrt(99))*-6 + 2*3*sqrt(99))/((sqrt(324) - 1*sqrt(324)*-2)*6) + -4.
-4
Simplify (5*sqrt(252)*4)/(sqrt(1296) + sqrt(4))*-4.
-240*sqrt(7)/19
Simplify (5 + 3*(sqrt(108) + sqrt(108)*-3)*3 + -5 + -3)**2*-3.
-105003 - 1944*sqrt(3)
Simplify (-5 + -2 + sqrt(175))**2*6 + sqrt(525)/sqrt(3) + (sqrt(126)/sqrt(9))/sqrt(2).
-414*sqrt(7) + 1344
Simplify 6*(sqrt(55)/sqrt(5) + 3 + sqrt(11) + sqrt(275)*6)**2 + 0 + -1*sqrt(11)*2*-4*6.
1200*sqrt(11) + 67638
Simplify (3 + 5*(-2*sqrt(84))/sqrt(12))*6 + ((sqrt(385)/(sqrt(11) + 1*sqrt(11)))/(sqrt(30)/(sqrt(54) + sqrt(6)) + sqrt(5)))**2.
-60*sqrt(7) + 478/25
Simplify ((sqrt(112) - 4*(sqrt(112) + sqrt(112)*-5))*-6 + -2 - (5*(sqrt(112) + -2 + sqrt(112)) - (sqrt(112) + -3 + sqrt(112) + 3)))**2.
-7040*sqrt(7) + 1355264
Simplify ((sqrt(11) + sqrt(11)*-2 + 4 + sqrt(396)*-2 + sqrt(99)/sqrt(9)*4 + 3*sqrt(44))*3)**2.
-216*sqrt(11) + 1035
Simplify -1*((-4 + (sqrt(500) - (sqrt(500) + sqrt(500) + sqrt(500)*-3)) - -2*sqrt(500)*-3) + (2*sqrt(500)*4 - (1*sqrt(500) + -4)))**2.
-4500
Simplify (-4*sqrt(66)/(sqrt(3) + sqrt(363)*-1))/((sqrt(132) + sqrt(132)*-2 + sqrt(132))/sqrt(12) - -3*sqrt(891)).
2*sqrt(2)/135
Simplify (sqrt(704) - ((-4*(sqrt(704) + 1))**2 - sqrt(704)) - sqrt(704))*2 + (sqrt(44) + ((-2*sqrt(132))/sqrt(3) - sqrt(44)))/(-2*sqrt(64)).
-22560 - 1983*sqrt(11)/4
Simplify (-1*(sqrt(110) + sqrt(110) + sqrt(110)*-3) - -6*sqrt(110)*-2)/(sqrt(40)*-1 + sqrt(10) + (sqrt(250) - (sqrt(250) + sqrt(250)*-4 - sqrt(250)))).
-11*sqrt(11)/24
Simplify (sqrt(78)/(sqrt(12)/sqrt(2)) - (sqrt(13) - (-6*(sqrt(13) - sqrt(117)))**2))*-5 - (-2*sqrt(637) + sqrt(637) + -3 + 0)**2.
-10006 - 42*sqrt(13)
Simplify (-1*-6*(sqrt(104)*1 + sqrt(104))*4)/(sqrt(32) + sqrt(1568) + (1*sqrt(1568) - sqrt(1568)) + sqrt(1568) + sqrt(96)/sqrt(3)*-6).
8*sqrt(13)/3
Simplify 1*((3 + sqrt(3) + sqrt(192) + 2 + sqrt(192) + -3)**2 - (sqrt(486) + sqrt(486)*1)/(sqrt(2) + sqrt(48)/sqrt(6))) + 2.
62*sqrt(3) + 873
Simplify -5 + (1*(4*-1*sqrt(187))/(sqrt(33)/sqrt(3)*2 + sqrt(11)) + 4)*-3.
-17 + 4*sqrt(17)
Simplify (-1*(sqrt(5) + sqrt(10)/sqrt(50) + (sqrt(5) - (2*sqrt(30))/sqrt(6))))**2 - ((4 + sqrt(125) + -1)*-5 + 0).
76/5 + 25*sqrt(5)
Simplify -4 + (sqrt(20)*-1*-5 - (sqrt(1620)*-1 - sqrt(1620)))/((sqrt(10) + sqrt(40))*3*5)*-3*-3.
-4 + 23*sqrt(2)/5
Simplify (-5*(sqrt(30) - 1*sqrt(270))*2)/((sqrt(294) + sqrt(294)*-2 + sqrt(294) - sqrt(294))*-1 - sqrt(294) - (sqrt(294) - sqrt(294)*2*-4)).
-20*sqrt(5)/63
Simplify -2*sqrt(1584) + -5 + ((sqrt(704) + -1*sqrt(704))/sqrt(4))**2 - ((sqrt(176) + -3 + sqrt(176) + 2)**2 - 6*(sqrt(176) - sqrt(176)*3)).
-710 - 56*sqrt(11)
Simplify (-1*sqrt(171)*6 + -1*sqrt(171) + 2)**2*-1*1*-6.
-504*sqrt(19) + 50298
Simplify (1*(1*sqrt(52) + -3))**2*6 - ((2*sqrt(130) - sqrt(130))/sqrt(10) + 5 + (-2*sqrt(1300) + -1)**2).
-4840 - 113*sqrt(13)
Simplify 5 + -4 + 1 + ((sqrt(320) + (sqrt(320)*-1 - sqrt(320)) + 4)**2 - (sqrt(180)*3 + -3)).
-82*sqrt(5) + 341
Simplify (sqrt(1452) + (sqrt(1452) - (-2*sqrt(1452) + sqrt(1452))))/(4*sqrt(150)) + -5*(-1 + sqrt(8)/(sqrt(4) + (sqrt(28)/(sqrt(35)/sqrt(5)) - sqrt(4)))).
-67*sqrt(2)/20 + 5
Simplify ((-2 + 1*sqrt(2736) - (sqrt(2736) + (sqrt(2736) + 1*sqrt(2736) - sqrt(2736)) + -5)) + -5*sqrt(2736)*-1 + 5 + 0)**2.
768*sqrt(19) + 43840
Simplify 5 + (((sqrt(208) + -5*sqrt(208)*6 - sqrt(208))/sqrt(4))/((sqrt(44) + 5*sqrt(88)/sqrt(2) + sqrt(44))/sqrt(11)))**2.
11945/49
Simplify ((5*(-1*sqrt(100) + sqrt(100)))/((-1*sqrt(35))/sqrt(7)))/(-4*sqrt(400)*-4*2).
0
Simplify -2*(-4 + -3*sqrt(13)*2*-4)**2 - (0 + sqrt(13) + 0 - (sqrt(13) - (sqrt(117) + 0)))*-3.
-15008 + 393*sqrt(13)
Simplify (((sqrt(528)*2 + sqrt(528))*-6)/(sqrt(972)*-1)*-6 + -2)**2.
96*sqrt(11) + 6340
Simplify 1*((1 + sqrt(99))*5 + (sqrt(99)*-1 - sqrt(99))*3 + 4 + (2*(1 + sqrt(99)) + sqrt(99) - sqrt(99)) + 2)**2.
78*sqrt(11) + 268
Simplify (((sqrt(147) + sqrt(147)*-2)*-2)/(sqrt(3) - -3*(sqrt(12) + sqrt(3))))/((sqrt(84) - 4*1*sqrt(84))/(sqrt(60)/(sqrt(5)*2))).
-sqrt(7)/30
Simplify ((-4 + sqrt(30)/sqrt(10))*-6 + 1)**2 + 4 + (((sqrt(12)*-2)/sqrt(4))**2 - (sqrt(84)/sqrt(4))/sqrt(7)).
-301*sqrt(3) + 749
Simplify ((6*(0 + sqrt(208)) - (-3 + sqrt(208) + sqrt(208) + sqrt(208)*2)) + -3 + 4 + -1)**2.
48*sqrt(13) + 841
Simplify 4*-5*(-6*sqrt(1176))/(sqrt(64)/sqrt(32))*1.
1680*sqrt(3)
Simplify -1*((((-6*6*sqrt(81) + sqrt(81))/sqrt(9))/(sqrt(432)/sqrt(4) - (sqrt(3) + sqrt(6)/(sqrt(10)/sqrt(5)))))**2 + -5).
-3595/16
Simplify 2*(1 + (-3*2*(sqrt(153) + 1*sqrt(153)))/((sqrt(441)*3 - sqrt(441))*-1)).
2 + 12*sqrt(17)/7
Simplify -6*6*((sqrt(136) - 1*sqrt(136)*-3) + (-2*(sqrt(136) + (sqrt(136)*-2 - sqrt(136))) - sqrt(136) - sqrt(136)))/(sqrt(72)*-5 + 2*sqrt(288) + sqrt(288)).
-72*sqrt(17)
Simplify (4*sqrt(91)*2 - sqrt(91) - (sqrt(91) - sqrt(91)*-2*4))/((5*(sqrt(1008)*-1 + sqrt(1008) - sqrt(1008)) - sqrt(1008)) + 5*sqrt(1008)*2).
-sqrt(13)/24
Simplify -6*(((-2*sqrt(99)*-2 - sqrt(99))*3)/((sqrt(2700) + (sqrt(2700) - (sqrt(2700)*-2 + sqrt(2700))))/sqrt(3))*2)**2.
-594/25
Simplify 5 + 2 + (1*-3*2*sqrt(78)*-6)/(sqrt(96)*-4 - sqrt(54)/(sqrt(9)*3)).
-108*sqrt(13)/49 + 7
Simplify (-4 + (-2*sqrt(2268))/sqrt(9))**2 + (-6*(1 + sqrt(35)/sqrt(5) + 3))**2.
384*sqrt(7) + 1852
Simplify ((sqrt(70) - (3*-2*sqrt(70) - sqrt(70)))/((2*sqrt(80) - sqrt(80)) + sqrt(80)))/(-5*(3*(sqrt(2) - sqrt(18)) - sqrt(2))*-1).
-sqrt(7)/35
Simplify -4*(2 + (sqrt(891) + -2*sqrt(891))*3 + -1 + 1*((sqrt(891) - (sqrt(891) + -1))**2 + sqrt(891)) + (-4 + (2*sqrt(891))**2 - sqrt(891))) + -2.
-14250 + 108*sqrt(11)
Simplify 4 + (((-2*sqrt(567) + 1)*3 - (2 + 0 + sqrt(567) - 4*(sqrt(567) + -2)))*-3)**2.
3402*sqrt(7) + 46372
Simplify (-1 + (1*sqrt(77)*5)/(sqrt(121)/(sqrt(22)/sqrt(2))))**2 - 1*(6*(sqrt(70) - -2*sqrt(70)))/(sqrt(40)/sqrt(4)*-4).
-11*sqrt(7)/2 + 176
Simplify 3*((sqrt(1944) + (-1*sqrt(1944) - sqrt(1944))*-1)/(sqrt(960)/sqrt(5) + -1*sqrt(48)) + -4)*4.
-48 + 162*sqrt(2)
Simplify (-4*(sqrt(136) + sqrt(136)*-2)*-3*-3)/((sqrt(480)/sqrt(250))/(sqrt(96)*-4)).
-2880*sqrt(17)
Simplify 0 + (sqrt(8) - (sqrt(8) - sqrt(128)))**2 + (sqrt(2) - (sqrt(2) - sqrt(4)/sqrt(2)))**2*4 + (-5 + (1*sqrt(128) + -2 - sqrt(128)))**2 + -5.
180
Simplify ((-3*sqrt(16)/sqrt(2))/(sqrt(4) + sqrt(4) + sqrt(4) + sqrt(64) + 2*sqrt(64)) - (sqrt(54)/(sqrt(24)/(sqrt(48)/sqrt(6))))**2)*-1.
sqrt(2)/5 + 18
Simplify 4 + -5*(-4 + (1 + sqrt(17))*3) - ((4 + sqrt(68) + -1 + 2 + (sqrt(17) - sqrt(34)/sqrt(2)))*6)**2.
-3339 - 735*sqrt(17)
Simplify (4 + sqrt(110)/sqrt(10) - (sqrt(11) + sqrt(11) + -1*(sqrt(11) + 2)) - -3*(-3 + sqrt(396))*-5)**2.
-9180*sqrt(11) + 91701
Simplify (4*(5 + -3*((sqrt(833)*2 + sqrt(833) - sqrt(833)) + -3 - sqrt(833)*-1*4) + 1))**2 + -3.
-60480*sqrt(17) + 4321869
Simplify -6*(-5*1*sqrt(104)*-2)/(sqrt(56)/(sqrt(35)/sqrt(5)) + 1*sqrt(512) + sqrt(512)).
-60*sqrt(13)/17
Simplify 4 + ((-2*sqrt(468) - sqrt(468)) + sqrt(468) + -5)**2 + 2 - (sqrt(104) + 4*sqrt(104)*-4)/(2*sqrt(200)).
243*sqrt(13)/2 + 1903
Simplify ((3*sqrt(77)*-3 - sqrt(77))/(sqrt(99)*-6 - sqrt(11)))**2 + (sqrt(70)/(sqrt(2)*3))/(sqrt(80)/sqrt(4)).
sqrt(7)/6 + 700/361
Simplify ((sqrt(132)*-4 - sqrt(132))/sqrt(12) - (sqrt(121) - sqrt(121)*4)/sqrt(11) - (sqrt(176) + sqrt(176)*-3*6)**2*-4) + 4.
-2*sqrt(11) + 203460
Simplify -6*1*((6*sqrt(363)*2 - sqrt(363) - ((sqrt(363) + 1 - sqrt(363)) + 2 + sqrt(363) - sqrt(363))) + -2 + -1)**2.
-263754 + 8712*sqrt(3)
Simplify ((((-2*sqrt(352))/sqrt(11))/(2*sqrt(128)))/(-3*3*sqrt(968)*-1))**2.
1/313632
Simplify (sqrt(95) + 1*sqrt(95)*5 + sqrt(95) + -5*(sqrt(95) + -3*sqrt(95)) + sqrt(95))/((sqrt(405) + sqrt(405)*1*-2)*-1).
2*sqrt(19)
Simplify 1*(sqrt(252)*-1*-3 + ((sqrt(3087) + sqrt(63) + -2)*6)**2).
-3438*sqrt(7) + 145296
Simplify (4*(sqrt(1701)*1 - sqrt(1701)))/(sqrt(30)/sqrt(160) - -5*1*sqrt(3))*6.
0
Simplify -3 + ((-4 + sqrt(176) + 2)*5)**2 + 4 + 4.
-400*sqrt(11) + 4505
Simplify ((-3 + sqrt(171) + (sqrt(19) - ( | {
"pile_set_name": "DM Mathematics"
} |
est common factor of u and 1485.
5
Let b be (486/8)/(62/248). Calculate the highest common factor of b and 405.
81
Let g(q) = 35*q**2 + 4*q + 6. Let v be g(3). Let y = v - 234. Calculate the highest common divisor of y and 11.
11
Let h be 10/6 - 7105/(-147). What is the greatest common divisor of 25 and h?
25
Suppose 3230 = 78*y - 61*y. Let o be 153/4 + 2/(-8). What is the greatest common factor of y and o?
38
Let b be 18*13/((-351)/(-36)). Calculate the highest common divisor of b and 816.
24
Let p be (0 + (-3)/(-4))/(12/368). What is the greatest common divisor of p and 529?
23
Let o(d) = d**2 - d + 8. Suppose 0 = n - 2*k - 28, 3*n - 33 = -2*k + 11. Let t = n - 13. Let q be o(t). What is the highest common factor of q and 7?
7
Let q = -93 - -125. Suppose -5*k - 37 = -1477. What is the greatest common factor of q and k?
32
Let z(l) = -l**2 - 14*l + 108. Let m be z(-19). Suppose -6*k = -3*n - k + 166, 3*n + 4*k - 148 = 0. Calculate the highest common factor of n and m.
13
Suppose -t - 20 = 2*g, 5*g + 45 = -3*t - 17. Let v = t - -46. What is the greatest common factor of 55 and v?
11
Suppose -3*z + l = -2731, -915 = -2*z + z + 5*l. Calculate the highest common factor of 7 and z.
7
Let x = -127 - -223. Suppose -2*o + 2*j = -3*j - 24, 4*o - 84 = j. Suppose s = -10 + o. Calculate the highest common factor of s and x.
12
Let c(v) = -v - 8. Let l be c(-10). Suppose -b + l*b = -54. Let s be (b/4)/((-7)/98). What is the highest common divisor of s and 21?
21
Suppose 0*c - 30 = c. Let w = c - -48. Suppose 2*s + 11 - 47 = 0. What is the greatest common divisor of s and w?
18
Let w be 3/(-1) + 4 - (-4)/2. Suppose 275 = 5*s - 0*s + 2*m, -166 = -w*s - m. What is the highest common factor of s and 38?
19
Let s(w) = -w**3 + 4*w**2 + 3*w + 5. Let o be s(5). Let i(x) = -7*x - 5. Let l be i(o). What is the greatest common divisor of 3 and l?
3
Suppose 2*r - x = 121, r + 7*x - 48 = 10*x. What is the greatest common factor of r and 84?
21
Suppose 343*g = 344*g - 28. What is the greatest common divisor of g and 406?
14
Let x(t) = 8*t**2 + 3*t - 6. Let w be x(3). Suppose 11*d - 16*d + w = 0. Calculate the highest common divisor of 6 and d.
3
Let f(w) = 10*w**2 + 7*w - 12. Let a be f(4). What is the greatest common divisor of a and 132?
44
Let g = -89 - -180. Let n = 230 - 217. What is the highest common factor of n and g?
13
Let l(s) = -s**2 + 12. Let t be l(0). Let k be ((-64)/(-96))/(((-4)/(-27))/2). What is the greatest common factor of t and k?
3
Let r(g) = 2*g**2 - 31*g + 51. Let q be r(14). Calculate the highest common factor of q and 11.
1
Let y(t) = -t**2 - 3*t + 9. Let b be y(-6). Let j = 15 + b. Suppose 5*h = 39 + j. What is the highest common divisor of h and 72?
9
Let x = -72 + 74. What is the highest common factor of x and 94?
2
Let b be 18 - 4/2 - (-6 + 6). Suppose 3*w = 5*w - 6. Suppose -4*r - w*s = -31, -7*s = -4*r - 2*s - 9. Calculate the greatest common divisor of r and b.
4
Let m(y) = 5*y - 8. Let j(u) = -9*u + 17. Let h(f) = -3*j(f) - 5*m(f). Let b be h(8). Calculate the highest common divisor of 20 and b.
5
Let m be (-4)/(-22) + ((-92)/22)/1. Let h be 6*(-40)/(-6)*(m + 5). What is the highest common divisor of h and 60?
20
Let l be 2 - ((-12)/(-4))/((-3)/18). What is the highest common factor of 64 and l?
4
Let z = -86 + 124. Let a be (20 + 0)*19/z. Let f = 4 + a. Calculate the highest common divisor of f and 126.
14
Let q be (852/(-10))/(4/(-10)) + 3. Calculate the greatest common divisor of 81 and q.
27
Let b(c) = 3*c**2. Let v be b(-1). Suppose -v*i = -6*i + 156. Let s = -37 + i. What is the highest common factor of s and 3?
3
Suppose -144*m = -148*m + 728. Calculate the greatest common factor of 14 and m.
14
Let d = 7 - 5. Let w be 4 + (d*3)/((-18)/(-12)). Calculate the highest common factor of 40 and w.
8
Let j = -28 + 31. Suppose y - 2*u + 336 = 5*y, -j*y = 3*u - 252. What is the highest common factor of y and 56?
28
Let l be (-1284)/(-44) + (-18)/99. Calculate the highest common factor of 232 and l.
29
Suppose -s + q + 8 = -2*q, -5*s = 4*q - 21. Suppose 3*b - 17 = -4*x - 0*x, 3*x + 3*b - 15 = 0. What is the highest common factor of x and s?
1
Suppose -a + 4*a - 39 = 0. Let f = 50 + -50. Suppose 130 = 3*z - n - 216, 4*n - 20 = f. What is the highest common factor of z and a?
13
Let p = 7 - 9. Let i be (10 + -8)*(-3)/p. Suppose -2*f = i*y - 148 - 119, y + 271 = 2*f. Calculate the greatest common factor of 15 and f.
15
Let w be ((-3)/6)/(1/2) + 6. Suppose w*t = 0, -4*s - 229 + 841 = -5*t. Calculate the greatest common factor of s and 9.
9
Let j = 1537 - 1519. Let c(v) = -64*v**3 - 2*v**2 + 1. Let g be c(-1). What is the highest common factor of g and j?
9
Let m = -169 + 273. Calculate the highest common divisor of 130 and m.
26
Let g = -510 - -573. Calculate the greatest common factor of 42 and g.
21
Let r be (0 - 1)*1*-2. Let q be 16/(r/1) + 2. Let s be (-15)/((-1530)/9168) - 2/(-17). Calculate the highest common factor of s and q.
10
Let c = 2077 - 1482. What is the highest common divisor of c and 17?
17
Let k be (4/(-12))/((-24)/9 - -3). Let z = 7 - k. What is the greatest common divisor of 32 and z?
8
Suppose -a + 258 = 214. What is the greatest common factor of a and 484?
44
Let g(a) = -a**2 + 14*a + 8. Let o = 34 - 22. Let h be g(o). What is the highest common factor of 4 and h?
4
Suppose 3*f = -f - 72. Let p be f/(-3 + 1) + -1. Calculate the greatest common factor of 72 and p.
8
Let n = -147 + 762. What is the greatest common divisor of 45 and n?
15
Let r be (7995/45)/((-6)/9 + 1). What is the greatest common divisor of r and 26?
13
Let h be (-12)/(-8)*(-2860)/(-15)*2. Calculate the highest common factor of h and 104.
52
Suppose -7945 = -14*l - 7889. What is the greatest common factor of 308 and l?
4
Let p = -59 + 648. Calculate the greatest common divisor of 95 and p.
19
Let c be ((-19)/(-4) - 4/(-16)) + 0. Suppose -c = l, 4*n = 5*n + l - 27. What is the highest common factor of n and 32?
32
Let f be (2 - 74)*(325/20)/(-13). Calculate the highest common factor of f and 45.
45
Suppose 0 = 2*l + 4*k - 82, 5*l - 2*k = 2*k + 233. Let r = 76 + -74. Let t be 2*(0 + 17 - r). What is the greatest common factor of l and t?
15
Suppose -3*d + 63 = -48. Let h = 1508 + -1360. Calculate the highest common divisor of d and h.
37
Suppose 3*k = -3*z + 21, -5 = 3*k + 4. Suppose -z*g = -138 - 62. What is the greatest common factor of 30 and g?
10
Let q(z) = 0*z**2 + 3*z + 0*z + 7 - 19 + z**2. Let x be (-2)/3 - (-154)/(-21). Let g be q(x). What is the greatest common divisor of g and 42?
14
Suppose 10*p = 15*p + 3*b - 330, p - 3*b = 48. What is the greatest common divisor of p and 210?
21
Let a be ((-5)/(-3) - 2)*-9. Suppose 21 + a = g. Let l = 182 + -176. Calculate the highest common factor of l and g.
6
Suppose 4*u - 20 = -3*r + 2*r, 0 = -3*u + 3. Let w(k) = k**3 - 16*k**2 + 17*k + 2. Let s be w(15). Calculate the highest common divisor of r and s.
16
Let q be 19/1 - (-18)/(-18). Suppose -17*h - 27 = -q*h. Calculate the highest common divisor of 54 and h.
27
Suppose 2 = -3*x - 1, 5*x - 75 = -4*y. Suppose 89 - 121 = -4*z. Calculate the greatest common divisor of y and z.
4
Let m(j) = -2*j**2 + 57*j - 76. Let d be m(27). Calculate the greatest common divisor of d and 135.
5
Suppose 996*w + 2035 = 1001*w. Calculate the greatest common factor of 37 and w.
37
Let h = -155 + 284. Let o = h - 121. What is the greatest common divisor of 152 and o?
8
Let d = 1489 - 1393. Calculate the highest common divisor of 24 and d.
24
Let l(g) = 4*g - 103. Let a be l(29). Calculate the greatest common divisor of a and 247.
13
Let z be 50612/28 - 6/(-14). Calculate the greatest common divisor of 16 and z.
16
Suppose -4*u - 44 = 7*v - 11*v, 15 = -5*u. Calculate the highest common divisor of v and 52.
4
Let y(p) = 12*p - 20. Let w be y(5). Suppose -8*a = -3*a - w. Calculate the highest common factor of 88 and a.
8
Let g(t) = 31*t + 298. Let v be g(-8). What is the highest common factor of v and 950?
50
Let m = -213 - -268. Let l = 11 + -16. Let i = l + 27. Calculate the highest common factor of m and i.
11
Suppose 0 = -5*v - 13 + 38. Let d = v - -1. Suppose 0 = d*u - 126 - 756. What is the greatest common divisor of u and 21?
21
Suppose -5*c - 6 = -3*b, 5*c + 2*b - 4*b | {
"pile_set_name": "DM Mathematics"
} |
the nearest integer?
32
What is 198074 to the power of 1/3, to the nearest integer?
58
What is the eighth root of 1097 to the nearest integer?
2
What is 3561 to the power of 1/2, to the nearest integer?
60
What is the tenth root of 8356 to the nearest integer?
2
What is the square root of 56644 to the nearest integer?
238
What is the square root of 20126 to the nearest integer?
142
What is the eighth root of 38835 to the nearest integer?
4
What is 74276 to the power of 1/2, to the nearest integer?
273
What is the sixth root of 859 to the nearest integer?
3
What is 3169 to the power of 1/2, to the nearest integer?
56
What is 1356 to the power of 1/3, to the nearest integer?
11
What is the square root of 17195 to the nearest integer?
131
What is the third root of 638 to the nearest integer?
9
What is the cube root of 651 to the nearest integer?
9
What is the seventh root of 9197 to the nearest integer?
4
What is 323 to the power of 1/6, to the nearest integer?
3
What is the square root of 75738 to the nearest integer?
275
What is the sixth root of 21411 to the nearest integer?
5
What is the square root of 10642 to the nearest integer?
103
What is the third root of 85836 to the nearest integer?
44
What is the cube root of 6166 to the nearest integer?
18
What is the cube root of 677 to the nearest integer?
9
What is the square root of 24177 to the nearest integer?
155
What is the third root of 10662 to the nearest integer?
22
What is the square root of 1081 to the nearest integer?
33
What is 7906 to the power of 1/3, to the nearest integer?
20
What is the ninth root of 1280 to the nearest integer?
2
What is 112252 to the power of 1/2, to the nearest integer?
335
What is the square root of 477 to the nearest integer?
22
What is the square root of 3 to the nearest integer?
2
What is 15802 to the power of 1/3, to the nearest integer?
25
What is the third root of 1630 to the nearest integer?
12
What is 1957 to the power of 1/5, to the nearest integer?
5
What is 4008 to the power of 1/2, to the nearest integer?
63
What is the cube root of 894 to the nearest integer?
10
What is the square root of 6605 to the nearest integer?
81
What is the ninth root of 115652 to the nearest integer?
4
What is the square root of 110902 to the nearest integer?
333
What is the square root of 1070 to the nearest integer?
33
What is the cube root of 5204 to the nearest integer?
17
What is the cube root of 19561 to the nearest integer?
27
What is the square root of 2647 to the nearest integer?
51
What is the third root of 56955 to the nearest integer?
38
What is 29555 to the power of 1/6, to the nearest integer?
6
What is 1948 to the power of 1/5, to the nearest integer?
5
What is the sixth root of 5932 to the nearest integer?
4
What is the tenth root of 369 to the nearest integer?
2
What is 1174 to the power of 1/2, to the nearest integer?
34
What is 913 to the power of 1/10, to the nearest integer?
2
What is 42166 to the power of 1/2, to the nearest integer?
205
What is 2696 to the power of 1/3, to the nearest integer?
14
What is the square root of 111 to the nearest integer?
11
What is 17950 to the power of 1/2, to the nearest integer?
134
What is 18325 to the power of 1/3, to the nearest integer?
26
What is the tenth root of 4175 to the nearest integer?
2
What is the cube root of 7041 to the nearest integer?
19
What is the cube root of 107284 to the nearest integer?
48
What is 692 to the power of 1/3, to the nearest integer?
9
What is 401 to the power of 1/3, to the nearest integer?
7
What is 7220 to the power of 1/4, to the nearest integer?
9
What is the square root of 4317 to the nearest integer?
66
What is the ninth root of 11503 to the nearest integer?
3
What is the cube root of 20346 to the nearest integer?
27
What is the cube root of 2172 to the nearest integer?
13
What is 15981 to the power of 1/9, to the nearest integer?
3
What is the square root of 60013 to the nearest integer?
245
What is the third root of 11023 to the nearest integer?
22
What is the square root of 8446 to the nearest integer?
92
What is the fifth root of 19269 to the nearest integer?
7
What is 2293 to the power of 1/5, to the nearest integer?
5
What is the ninth root of 602 to the nearest integer?
2
What is the tenth root of 65292 to the nearest integer?
3
What is 190 to the power of 1/5, to the nearest integer?
3
What is 58946 to the power of 1/10, to the nearest integer?
3
What is the third root of 289 to the nearest integer?
7
What is 4716 to the power of 1/2, to the nearest integer?
69
What is 7291 to the power of 1/2, to the nearest integer?
85
What is 32 to the power of 1/3, to the nearest integer?
3
What is the third root of 1614 to the nearest integer?
12
What is the third root of 963 to the nearest integer?
10
What is the cube root of 90176 to the nearest integer?
45
What is the third root of 76009 to the nearest integer?
42
What is the eighth root of 1962 to the nearest integer?
3
What is 5484 to the power of 1/2, to the nearest integer?
74
What is 6539 to the power of 1/5, to the nearest integer?
6
What is 2870 to the power of 1/3, to the nearest integer?
14
What is 2149 to the power of 1/10, to the nearest integer?
2
What is 56154 to the power of 1/2, to the nearest integer?
237
What is 42148 to the power of 1/6, to the nearest integer?
6
What is the third root of 3470 to the nearest integer?
15
What is the sixth root of 1908 to the nearest integer?
4
What is the seventh root of 41045 to the nearest integer?
5
What is 45092 to the power of 1/2, to the nearest integer?
212
What is the square root of 3475 to the nearest integer?
59
What is 115765 to the power of 1/6, to the nearest integer?
7
What is 771 to the power of 1/2, to the nearest integer?
28
What is 11438 to the power of 1/2, to the nearest integer?
107
What is the square root of 36752 to the nearest integer?
192
What is the ninth root of 3414 to the nearest integer?
2
What is 5010 to the power of 1/3, to the nearest integer?
17
What is 1574 to the power of 1/2, to the nearest integer?
40
What is 55095 to the power of 1/2, to the nearest integer?
235
What is the fifth root of 8602 to the nearest integer?
6
What is the third root of 1309 to the nearest integer?
11
What is the tenth root of 10484 to the nearest integer?
3
What is the third root of 1590 to the nearest integer?
12
What is the eighth root of 16333 to the nearest integer?
3
What is the fifth root of 1182 to the nearest integer?
4
What is the third root of 76668 to the nearest integer?
42
What is 2115 to the power of 1/10, to the nearest integer?
2
What is the third root of 6634 to the nearest integer?
19
What is 4483 to the power of 1/2, to the nearest integer?
67
What is 3229 to the power of 1/2, to the nearest integer?
57
What is the square root of 12737 to the nearest integer?
113
What is 8198 to the power of 1/8, to the nearest integer?
3
What is the fourth root of 1769 to the nearest integer?
6
What is the cube root of 2313 to the nearest integer?
13
What is 46901 to the power of 1/2, to the nearest integer?
217
What is the ninth root of 1316 to the nearest integer?
2
What is the square root of 3996 to the nearest integer?
63
What is the eighth root of 12923 to the nearest integer?
3
What is the third root of 2070 to the nearest integer?
13
What is the seventh root of 1139 to the nearest integer?
3
What is the square root of 12875 to the nearest integer?
113
What is 3017 to the power of 1/3, to the nearest integer?
14
What is 17601 to the power of 1/7, to the nearest integer?
4
What is the tenth root of 64940 to the nearest integer?
3
What is 4998 to the power of 1/4, to the nearest integer?
8
What is the cube root of 2979 to the nearest integer?
14
What is 43183 to the power of 1/3, to the nearest integer?
35
What is the cube root of 3444 to the nearest integer?
15
What is the fifth root of 6006 to the nearest integer?
6
What is the fifth root of 65593 to the nearest integer?
9
What is 1633 to the power of 1/4, to the nearest integer?
6
What is the square root of 26965 to the nearest integer?
164
What is the seventh root of 198 to the nearest integer?
2
What is 2108 to the power of 1/6, to the nearest integer?
4
What is the square root of 595 to the ne | {
"pile_set_name": "DM Mathematics"
} |
Give prob of sequence ssqs.
7/55
What is prob of sequence ir when two letters picked without replacement from alwriit?
1/21
Two letters picked without replacement from ccaccblxnxxcn. Give prob of sequence cc.
5/39
Calculate prob of sequence epe when three letters picked without replacement from eppqe.
1/15
Three letters picked without replacement from {q: 2, p: 9}. What is prob of sequence qpq?
1/55
Calculate prob of sequence uskk when four letters picked without replacement from {u: 5, s: 2, k: 2}.
5/756
What is prob of sequence wccc when four letters picked without replacement from {o: 10, w: 1, c: 7}?
7/2448
Calculate prob of sequence lv when two letters picked without replacement from {l: 1, v: 3, g: 1}.
3/20
Four letters picked without replacement from {v: 1, w: 2, g: 2, s: 6, e: 7}. What is prob of sequence sweg?
7/3060
Two letters picked without replacement from {k: 4, g: 14}. Give prob of sequence gk.
28/153
Two letters picked without replacement from {y: 7, r: 6, h: 4}. Give prob of sequence rh.
3/34
Two letters picked without replacement from {d: 1, t: 8, u: 1, j: 2, x: 2}. Give prob of sequence td.
4/91
Two letters picked without replacement from tvsqegve. What is prob of sequence eq?
1/28
Calculate prob of sequence qu when two letters picked without replacement from fkjuq.
1/20
Two letters picked without replacement from {q: 4, w: 1, j: 1, y: 2, n: 1}. What is prob of sequence jq?
1/18
Three letters picked without replacement from {a: 6, h: 2, e: 2, n: 3}. What is prob of sequence aha?
5/143
Two letters picked without replacement from {b: 3, i: 12, r: 2}. Give prob of sequence bi.
9/68
Three letters picked without replacement from {i: 12, w: 1}. What is prob of sequence iwi?
1/13
Two letters picked without replacement from nuuunlnuuunuunnuuu. What is prob of sequence ln?
1/51
Calculate prob of sequence kb when two letters picked without replacement from ddebdkdde.
1/72
Two letters picked without replacement from pwsspswwpss. What is prob of sequence ps?
3/22
Calculate prob of sequence jc when two letters picked without replacement from nlkjocn.
1/42
What is prob of sequence ggwg when four letters picked without replacement from {w: 1, i: 1, d: 4, g: 5}?
1/132
Four letters picked without replacement from yyiggyiiiggg. What is prob of sequence iygi?
1/66
Two letters picked without replacement from rkkkkkrcckkrrk. Give prob of sequence kr.
16/91
Two letters picked without replacement from dtzdatdtbzs. Give prob of sequence zs.
1/55
Four letters picked without replacement from qvqvvqxvrxrjrq. What is prob of sequence xxqr?
1/1001
Two letters picked without replacement from {k: 1, d: 4, f: 5, l: 3, p: 1}. What is prob of sequence ll?
3/91
Four letters picked without replacement from {q: 1, w: 10, o: 6}. Give prob of sequence wwqw.
3/238
What is prob of sequence swdv when four letters picked without replacement from {n: 2, v: 2, s: 8, d: 1, w: 5}?
1/918
Calculate prob of sequence duup when four letters picked without replacement from {d: 1, p: 3, u: 2, t: 1}.
1/140
Calculate prob of sequence nb when two letters picked without replacement from {b: 1, n: 7}.
1/8
What is prob of sequence vvg when three letters picked without replacement from gggslvlgglgvgggvsggg?
1/95
Three letters picked without replacement from {u: 1, s: 2, r: 1, y: 2}. What is prob of sequence syr?
1/30
Three letters picked without replacement from {o: 1, j: 1, h: 1, s: 1, v: 1}. Give prob of sequence osh.
1/60
Two letters picked without replacement from {n: 8, u: 3}. Give prob of sequence nn.
28/55
Calculate prob of sequence sts when three letters picked without replacement from {s: 2, t: 1}.
1/3
Three letters picked without replacement from {g: 3, q: 3, w: 2}. What is prob of sequence wgg?
1/28
Two letters picked without replacement from eteeetteettteeettet. Give prob of sequence ee.
5/19
Three letters picked without replacement from awaaawawaawaaa. Give prob of sequence awa.
15/91
Calculate prob of sequence wfw when three letters picked without replacement from {f: 3, j: 1, r: 7, d: 3, w: 5}.
10/969
Calculate prob of sequence lg when two letters picked without replacement from {f: 2, k: 3, g: 2, z: 2, l: 1, j: 2}.
1/66
Four letters picked without replacement from {x: 3, e: 1, u: 1}. Give prob of sequence xxxu.
1/20
Four letters picked without replacement from heeheghheeeeheeeee. What is prob of sequence hheh?
1/102
What is prob of sequence vu when two letters picked without replacement from hxvuovcxxvxo?
1/44
Two letters picked without replacement from {n: 1, c: 1, w: 2, u: 2, f: 1, d: 2}. What is prob of sequence wc?
1/36
What is prob of sequence lq when two letters picked without replacement from {d: 1, l: 1, q: 2, x: 4}?
1/28
Three letters picked without replacement from {q: 1, b: 12, y: 6}. What is prob of sequence qyy?
5/969
Calculate prob of sequence on when two letters picked without replacement from {e: 8, o: 1, t: 2, j: 1, n: 3, k: 5}.
3/380
Calculate prob of sequence aaaa when four letters picked without replacement from eaeaaaaaaea.
7/33
Two letters picked without replacement from nniinnniniiinnnniiin. Give prob of sequence in.
99/380
What is prob of sequence cch when three letters picked without replacement from hchhhhcchchcccchhch?
40/323
Three letters picked without replacement from {j: 2, c: 4}. Give prob of sequence jjc.
1/15
Three letters picked without replacement from {c: 1, h: 2}. Give prob of sequence chh.
1/3
What is prob of sequence ncc when three letters picked without replacement from nclwllwxwc?
1/360
Three letters picked without replacement from ssv. What is prob of sequence svs?
1/3
Three letters picked without replacement from hjje. What is prob of sequence jjh?
1/12
Two letters picked without replacement from {n: 5, j: 2, o: 8, m: 4}. What is prob of sequence nm?
10/171
Two letters picked without replacement from {a: 6, d: 6, n: 3}. Give prob of sequence nd.
3/35
Two letters picked without replacement from {h: 3, m: 13}. What is prob of sequence mh?
13/80
What is prob of sequence ff when two letters picked without replacement from vjvjvvjqvfjffvj?
1/35
Four letters picked without replacement from {g: 4, x: 2, l: 5}. Give prob of sequence lxgx.
1/198
What is prob of sequence ktmk when four letters picked without replacement from mkottmttkytktt?
1/286
What is prob of sequence ho when two letters picked without replacement from {o: 8, h: 2, r: 9}?
8/171
Calculate prob of sequence as when two letters picked without replacement from {a: 3, b: 2, s: 2, j: 5}.
1/22
Calculate prob of sequence pr when two letters picked without replacement from {r: 7, p: 7}.
7/26
What is prob of sequence ffj when three letters picked without replacement from ajuff?
1/30
Calculate prob of sequence kkyv when four letters picked without replacement from {k: 3, p: 1, d: 1, y: 4, v: 1, b: 2}.
1/495
Two letters picked without replacement from {f: 9}. What is prob of sequence ff?
1
Two letters picked without replacement from mcjmmpp. Give prob of sequence pp.
1/21
Calculate prob of sequence wu when two letters picked without replacement from {q: 1, l: 1, b: 2, h: 1, w: 1, u: 1}.
1/42
Calculate prob of sequence ff when two letters picked without replacement from xvvdfyfee.
1/36
Three letters picked without replacement from sswqqqmdsnmsqn. Give prob of sequence wqd.
1/546
Calculate prob of sequence to when two letters picked without replacement from {t: 3, k: 3, o: 6, f: 1, u: 2, r: 4}.
1/19
Calculate prob of sequence yyk when three letters picked without replacement from {k: 2, y: 4, l: 1, s: 7, o: 3}.
1/170
Four letters picked without replacement from {k: 2, f: 2, r: 1, m: 6, z: 1}. Give prob of sequence mfmk.
1/99
What is prob of sequence uu when two letters picked without replacement from {c: 1, z: 3, u: 2, x: 2, w: 2, y: 2}?
1/66
Three letters picked without replacement from shhdvvf. What is prob of sequence fhd?
1/105
Two letters picked without replacement from dddaafdq. What is prob of sequence df?
1/14
Four letters picked without replacement from {h: 4, e: 1, u: 8}. Give prob of sequence huuh.
28/715
Two letters picked without replacement from {u: 6, r: 2, n: 3, s: 2, k: 2}. What is prob of sequence uu?
1/7
Calculate prob of sequence ay when two letters picked | {
"pile_set_name": "DM Mathematics"
} |
98903
What is the o'th term of -15291, -61177, -137655, -244725?
-15296*o**2 + 2*o + 3
What is the v'th term of -65, -598, -2051, -4886, -9565, -16550, -26303?
-77*v**3 + 2*v**2 + 10
What is the j'th term of -256001, -512036, -768071?
-256035*j + 34
What is the z'th term of -471855, -471854, -471851, -471846, -471839, -471830?
z**2 - 2*z - 471854
What is the w'th term of 3320, 3191, 3076, 2981, 2912, 2875?
w**3 + w**2 - 139*w + 3457
What is the m'th term of -102, -385, -1132, -2577, -4954, -8497?
-39*m**3 + 2*m**2 - 16*m - 49
What is the d'th term of -245, -465, -655, -815?
15*d**2 - 265*d + 5
What is the x'th term of 340, 741, 1142, 1543, 1944?
401*x - 61
What is the g'th term of -1506, -1580, -1660, -1746, -1838?
-3*g**2 - 65*g - 1438
What is the h'th term of 153, 417, 757, 1173, 1665, 2233?
38*h**2 + 150*h - 35
What is the n'th term of 10513, 10522, 10557, 10630, 10753?
2*n**3 + n**2 - 8*n + 10518
What is the v'th term of 4765, 4627, 4403, 4093?
-43*v**2 - 9*v + 4817
What is the r'th term of 3527, 7058, 10595, 14144, 17711?
r**3 - 3*r**2 + 3533*r - 4
What is the f'th term of -21777, -43563, -65347, -87129, -108909, -130687, -152463?
f**2 - 21789*f + 11
What is the x'th term of -26775, -53551, -80327?
-26776*x + 1
What is the z'th term of 104715, 104709, 104703?
-6*z + 104721
What is the l'th term of 3456, 3454, 3452?
-2*l + 3458
What is the h'th term of -3282, -6568, -9872, -13206, -16582?
-2*h**3 + 3*h**2 - 3281*h - 2
What is the u'th term of -440, -515, -736, -1175, -1904?
-12*u**3 - u**2 + 12*u - 439
What is the j'th term of 34334, 34362, 34390?
28*j + 34306
What is the q'th term of -24, -43, -72, -111, -160?
-5*q**2 - 4*q - 15
What is the d'th term of -5044, -20178, -45400, -80710, -126108, -181594?
-5044*d**2 - 2*d + 2
What is the d'th term of 505, 1955, 4359, 7717?
477*d**2 + 19*d + 9
What is the o'th term of -820, -1654, -2488, -3322, -4156, -4990?
-834*o + 14
What is the h'th term of -210673, -210672, -210671, -210670, -210669?
h - 210674
What is the u'th term of 1044, 2051, 3058, 4065?
1007*u + 37
What is the i'th term of 3226, 3198, 3170, 3142, 3114, 3086?
-28*i + 3254
What is the v'th term of 131, 318, 611, 1064, 1731, 2666, 3923, 5556?
9*v**3 - v**2 + 127*v - 4
What is the g'th term of 48, 99, 166, 249, 348, 463?
8*g**2 + 27*g + 13
What is the x'th term of 75, 199, 549, 1239, 2383, 4095?
19*x**3 - x**2 - 6*x + 63
What is the q'th term of 2719, 5524, 8329, 11134, 13939, 16744?
2805*q - 86
What is the r'th term of -20155, -20129, -20103?
26*r - 20181
What is the h'th term of 1049, 1586, 2123, 2660, 3197, 3734?
537*h + 512
What is the c'th term of 2677, 5347, 7997, 10621, 13213, 15767, 18277, 20737?
-c**3 - 4*c**2 + 2689*c - 7
What is the o'th term of -489, -1387, -2285, -3183?
-898*o + 409
What is the l'th term of -761, -1692, -2623, -3554, -4485?
-931*l + 170
What is the j'th term of -14178, -14087, -13996, -13905?
91*j - 14269
What is the d'th term of -5002, -9961, -14920, -19879, -24838, -29797?
-4959*d - 43
What is the x'th term of -1006, -1558, -2478, -3766?
-184*x**2 - 822
What is the l'th term of 8496, 8494, 8480, 8448, 8392, 8306?
-l**3 + 5*l + 8492
What is the n'th term of 1363535, 1363536, 1363537, 1363538?
n + 1363534
What is the z'th term of 1312, 2554, 3796, 5038?
1242*z + 70
What is the w'th term of -2613, -10456, -23529, -41832, -65365, -94128?
-2615*w**2 + 2*w
What is the r'th term of -552448, -552446, -552444, -552442, -552440?
2*r - 552450
What is the j'th term of 149613, 149612, 149611, 149610?
-j + 149614
What is the l'th term of -11589, -11578, -11559, -11532, -11497, -11454?
4*l**2 - l - 11592
What is the r'th term of -169702, -169725, -169748?
-23*r - 169679
What is the z'th term of 44402, 177615, 399642, 710483, 1110138, 1598607?
44407*z**2 - 8*z + 3
What is the g'th term of -2677, -2721, -2765, -2809?
-44*g - 2633
What is the l'th term of -511, -2013, -4487, -7909, -12255, -17501, -23623, -30597?
4*l**3 - 510*l**2 - 5
What is the t'th term of 96, 77, 24, -75, -232, -459, -768, -1171?
-2*t**3 - 5*t**2 + 10*t + 93
What is the k'th term of 8289, 16617, 24979, 33393, 41877, 50449, 59127?
3*k**3 - k**2 + 8310*k - 23
What is the u'th term of 2421, 4992, 7563?
2571*u - 150
What is the q'th term of 695717, 695718, 695719?
q + 695716
What is the y'th term of 89, 95, 133, 227, 401, 679, 1085, 1643?
4*y**3 - 8*y**2 + 2*y + 91
What is the u'th term of 123, 389, 689, 1041, 1463?
3*u**3 - u**2 + 248*u - 127
What is the q'th term of 11354, 22701, 34048?
11347*q + 7
What is the c'th term of -42979, -86028, -129077?
-43049*c + 70
What is the r'th term of -869, -712, -555?
157*r - 1026
What is the l'th term of -266, -78, 108, 292?
-l**2 + 191*l - 456
What is the n'th term of 13477, 53906, 121287, 215620?
13476*n**2 + n
What is the t'th term of -1750, -1750, -1760, -1786, -1834, -1910, -2020, -2170?
-t**3 + t**2 + 4*t - 1754
What is the z'th term of 28272, 56449, 84626, 112803, 140980?
28177*z + 95
What is the o'th term of -990, -1156, -1322, -1488?
-166*o - 824
What is the c'th term of 2677, 2661, 2619, 2539, 2409, 2217?
-2*c**3 - c**2 + c + 2679
What is the k'th term of 7960, 7941, 7910, 7867, 7812, 7745, 7666?
-6*k**2 - k + 7967
What is the p'th term of 44653, 89370, 134087, 178804?
44717*p - 64
What is the c'th term of -2957, -3130, -3267, -3362, -3409, -3402?
c**3 + 12*c**2 - 216*c - 2754
What is the b'th term of -38793, -38784, -38771, -38754, -38733?
2*b**2 + 3*b - 38798
What is the z'th term of -715, -593, -389, -103, 265, 715?
41*z**2 - z - 755
What is the p'th term of -15394, -15415, -15448, -15499, -15574, -15679, -15820?
-p**3 - 14*p - 15379
What is the p'th term of 27, -465, -975, -1503?
-9*p**2 - 465*p + 501
What is the b'th term of -5137, -10276, -15415, -20554?
-5139*b + 2
What is the h'th term of 145372, 145381, 145404, 145447, 145516?
h**3 + h**2 - h + 145371
What is the z'th term of -1539, -1563, -1587?
-24*z - 1515
What is the o'th term of -53, 20, 195, 460, 803, 1212, 1675?
-2*o**3 + 63*o**2 - 102*o - 12
What is the m'th term of 191, 295, 463, 695, 991, 1351, 1775?
32*m**2 + 8*m + 151
What is the w'th term of 881, 875, 873, 875, 881, 891?
2*w**2 - 12*w + 891
What is the v'th term of 1104, 4385, 9848, 17487, 27296, 39269, 53400, 69683?
-v**3 + 1097*v**2 - 3*v + 11
What is the v'th term of -565, -1094, -1619, -2140, -2657, -3170?
2*v**2 - 535*v - 32
What is the q'th term of -2524, -2498, -2454, -2392, -2312?
9*q**2 - q - 2532
What is the v'th term of 470, 534, 598, 662, 726?
64*v + 406
What is the f'th term of 195159, 195160, 195161, 195162?
f + 195158
What is the n'th term of 264, 275, 34, -459?
-126*n**2 + 389*n + 1
What is the d'th term of -510, -532, -558, -588, -622, -660, -702?
-2*d**2 - 16*d - 492
What is the o'th term of -364, -490, -616, -742, -868, -994?
-126*o - 238
What is the c'th term of -312, -556, -976, -1572?
-88*c**2 + 20*c - 244
What is the s'th term of -54179, -54186, -54193?
-7*s - 54172
What is the z'th term of -4378, -8775, -13172, -17569, -21966?
-4397*z + 19
What is the q'th term of 270172, 270170, 270168, 270166, 270164, 270162?
-2*q + 270174
What is the x'th term of 579, 1101, 1603, 2079, 2523, 2929?
-x**3 - 4*x**2 + 541*x + 43
What is the f'th term of -540, -534, -530, -528, -528, -530?
-f**2 + 9*f - 548
What is the t'th term of 15711, 15683, 15655, 15627, 15599?
-28*t + 15739
What is the a'th term of -125, -157, -185, -209, -229, -245, -257?
2*a**2 - 38*a - 89
What is the b'th term of 175, 1563, 5375, 12823, 25119, 43475, 69103, 103215?
202*b**3 - 26*b - 1
What is the r'th term of -437, -599, -757, -911, -1061?
2*r**2 - 168*r - 271
What is the a'th term of 808, 1792, 2776, 3760, 4744?
984*a - 176
What is the u'th term of -6847, -6847, -6845, -6841, -6835, -6827?
u**2 - 3*u - 6845
What is the l'th term of 243, 1107, 2589, 4689, 7407, 10743?
309*l**2 - 63*l - 3
What is the b'th term of 19, -136, -393, -752, -1213?
-51*b**2 - 2*b + 72
What is the x'th term of 2928, 5841, 8752, 11661?
-x**2 + 2916*x + 13
What is the i'th term of 12066, 48349, 108826, 193503, 302386, 435481?
i**3 + 12091*i**2 + 3*i - 29
What is the v'th term of -2071, -2066, -2061?
5*v - 2076
What is the y'th term of -1121, -2146, -2981, -3530, -3697, -3386, -2501?
16*y**3 - y**2 - 1134*y - 2
What is the g'th t | {
"pile_set_name": "DM Mathematics"
} |
) = 6*y**2 + 38. Let w(h) = -20*h + 77. Let k(p) = -11*p + 42. Let g(b) = 11*k(b) - 6*w(b). Calculate g(s(i)).
-6*i**2 - 38
Let i(q) = -3*q**2. Let j(l) = -770 - 2*l + 1514 + 3*l - 758. Determine j(i(y)).
-3*y**2 - 14
Let c(r) = -54*r. Let l(g) = 67*g - 2. What is c(l(s))?
-3618*s + 108
Let b(m) = -717*m**2 + 1. Let q(a) = 13*a + 2. Determine b(q(w)).
-121173*w**2 - 37284*w - 2867
Let m(t) = 26*t - 40*t + 27*t. Let y(n) = n**2. Calculate y(m(c)).
169*c**2
Let h(k) = 2*k**2 + 3*k. Suppose 0 = 2*f - 8. Let j(u) = 2*u**2 + 4*u. Let t(a) = f*h(a) - 3*j(a). Let l(w) = -26*w**2. Determine l(t(q)).
-104*q**4
Suppose -r + 7 + 18 = -3*g, g = -5*r + 61. Let o(y) = r*y - 13*y + 3*y**2. Let i(d) = 1. Let s(n) = n - 3. Let b(z) = -3*i(z) - s(z). Determine o(b(f)).
3*f**2
Let z be ((-1)/(-4))/(5/100). Let c(w) = -5*w + z*w + 3*w. Let q(m) = -4*m**2 - 3*m**2 + 5*m**2. Determine c(q(l)).
-6*l**2
Let x(d) be the second derivative of -13*d**3/3 + d. Let h(y) be the second derivative of y**3/2 - 7*y. Give x(h(v)).
-78*v
Let d(s) be the first derivative of -10*s**3/3 - 563. Let z = -1 - -3. Let u(p) = p**2 - p**2 - p**z. Determine d(u(j)).
-10*j**4
Let j(k) = -2*k + 6. Let i(y) = y**2 - 43*y. Calculate j(i(v)).
-2*v**2 + 86*v + 6
Let w(u) = 6 - 3 - 2 + u. Let d(f) = 2*f**2 - 10*f - 10. Let p(v) = -d(v) - 10*w(v). Let k(r) be the third derivative of r**4/6 - 9*r**2. What is p(k(n))?
-32*n**2
Let g(i) = 2*i**2. Let w(m) = -87661*m**2. Give g(w(n)).
15368901842*n**4
Let d(v) = 6*v. Let k(b) = 188*b**2 + 6*b - 18. Let h(t) = -t**2 + t - 3. Let x(l) = -6*h(l) + k(l). What is d(x(c))?
1164*c**2
Let v(f) = 5*f. Let q(h) = -6961*h**2 + 2. Determine v(q(k)).
-34805*k**2 + 10
Let v(j) = 2*j**2 + 5531*j + 12. Let x(k) = 16*k. Calculate v(x(z)).
512*z**2 + 88496*z + 12
Let v(u) = 3*u**2 + 7. Let n(i) = -203*i. Give n(v(h)).
-609*h**2 - 1421
Let y(d) = d**2. Let m(x) = 235*x**2 - 9. Calculate y(m(z)).
55225*z**4 - 4230*z**2 + 81
Let w(m) = 0*m - m - m. Let x(y) = -4*y + 6*y**2 + 4*y - 3*y**2 - 6 + 6*y. Let g(j) = -8*j**2 - 17*j + 17. Let t(n) = 6*g(n) + 17*x(n). Give w(t(u)).
-6*u**2
Let q(j) = -2436*j**2. Let w(c) = c**2. Give w(q(g)).
5934096*g**4
Let f(a) = 7*a. Let p(t) = 8453*t + 2675. Let r(m) = 95*m + 30. Let b(x) = -6*p(x) + 535*r(x). What is b(f(k))?
749*k
Let y(f) = 30*f + 5. Let d(x) = 16*x + 3. Let i(c) = -5*d(c) + 3*y(c). Let w(p) = -4*p**2. Give w(i(g)).
-400*g**2
Let i(m) = -8*m + 26. Let n(l) be the second derivative of -l**4/6 + 11*l + 2. Determine i(n(o)).
16*o**2 + 26
Let k(u) = 8*u. Let t(c) be the first derivative of -1/3*c**3 - 17 + 0*c**2 + 0*c. Determine t(k(x)).
-64*x**2
Let q(n) = 17*n. Let z(s) = -50*s + 136. Give q(z(c)).
-850*c + 2312
Let m(f) be the second derivative of f**4/6 + 8*f + 67. Let y(o) = -2*o + 5. Give y(m(c)).
-4*c**2 + 5
Let j(x) = -7*x - 3 - x**2 + 3. Let h(f) be the third derivative of f**4/24 + 2*f**2 + 652*f. Calculate h(j(z)).
-z**2 - 7*z
Let c(f) = 818*f**2. Let g(w) = -4*w**2 + w + 1. Let s(a) = -3*a**2 + a + 1. Let l(q) = -g(q) + s(q). What is l(c(p))?
669124*p**4
Let h(q) = -10*q**2. Let s(l) be the third derivative of 0 - 1/8*l**4 + 0*l + 0*l**3 + 16*l**2. Give h(s(f)).
-90*f**2
Let c(y) = 38548*y**2. Let b(j) = -5*j. Calculate b(c(m)).
-192740*m**2
Let x(t) be the second derivative of 0 + 0*t**3 + 0*t**2 + 2*t - 1/12*t**4. Let h(j) be the second derivative of j**3/3 + 38*j. Determine h(x(a)).
-2*a**2
Let m(k) be the third derivative of -1/15*k**5 + 5*k**2 + 0*k**3 + 0 + 0*k + 0*k**4. Let a(t) be the second derivative of 5*t**4/12 - 2*t. What is m(a(d))?
-100*d**4
Let w(a) = -8*a. Let m(f) = -26*f + 39. Let c(d) = -d + 3. Let z(s) = -13*c(s) + m(s). Calculate w(z(h)).
104*h
Let z(j) = -j**2. Let o(c) = 700*c - 1 - 700*c + 77*c**2. Give o(z(l)).
77*l**4 - 1
Let p(o) = 9*o. Let c(k) = k**2 + 7*k + 5. Let b be c(-5). Let j be ((-22)/55)/(1/b). Let z(s) = 0*s**j - s**2 + 2*s**2 - 3*s**2. Determine p(z(v)).
-18*v**2
Let s(j) be the third derivative of -7*j**5/60 + 8*j**2 - 4*j. Let y(t) = 2*t - 4*t + t. Give s(y(g)).
-7*g**2
Let y(c) be the second derivative of 0 - 18*c + 0*c**3 + 0*c**2 - 2/3*c**4. Let z(h) = 4*h**2. Calculate z(y(d)).
256*d**4
Let c(v) = v. Let g be (0 + (-24)/(-20))*5. Suppose 2*f = -g, -3*f - 9 - 12 = -3*k. Let y(z) = 3*z - k + 4. What is y(c(i))?
3*i
Let m(j) = -25*j**2. Let o(b) = -666*b**2 - 681*b**2 + 1338*b**2. Give m(o(k)).
-2025*k**4
Let q(p) = -p + 2. Let a(h) = -1. Let r(x) = -x + 5. Let n(j) = -5*a(j) - r(j). Let m(k) = 3*k. Let t(b) = m(b) - 4*n(b). Calculate t(q(z)).
z - 2
Let q(p) = -5*p. Let m(b) = b. Let s(g) = 6*m(g) + q(g). Let j(f) be the third derivative of -5*f**5/12 + 33*f**2. Determine s(j(w)).
-25*w**2
Let c(d) = 291*d. Let a(n) be the third derivative of n**5/60 + 183*n**2. Determine c(a(v)).
291*v**2
Let q(y) be the second derivative of -8*y**3/3 + 112*y. Let s(p) = 2*p. What is s(q(w))?
-32*w
Let f(i) = 30*i**2 + 5*i. Let q(j) = -14*j**2 - 2*j. Let x(l) = -2*f(l) - 5*q(l). Let s(o) = 20*o**2. Determine s(x(c)).
2000*c**4
Let n(y) be the first derivative of -13*y**3/3 + 10. Let x(g) = 0 + 1491*g - 1489*g + 0. Determine x(n(a)).
-26*a**2
Let c(d) be the second derivative of 133*d**4/6 - 9*d - 2. Let w(g) = g**2. Determine c(w(x)).
266*x**4
Let b(q) = -6*q**2 - 4*q. Let h(o) = -5*o**2 - 3*o. Let g(i) = -3*b(i) + 4*h(i). Let y(n) = -6*n. Determine y(g(v)).
12*v**2
Let g(b) = -1019*b - 106. Let l(q) = -q. Determine l(g(x)).
1019*x + 106
Let n(x) = 3*x + x - 4*x + x**2. Let p(q) = -7*q**2 + 6*q + 6. Let v = 7 - 14. Let g(z) = 8*z**2 - 7*z - 7. Let l(m) = v*p(m) - 6*g(m). Give l(n(t)).
t**4
Let w(n) = -15*n**2. Let y be ((1 - 1)/3)/2. Let j(i) = -7*i + 6*i + y*i + 4*i. Calculate j(w(x)).
-45*x**2
Let z(b) = -12*b**2. Let m(f) = -5404*f. Give m(z(k)).
64848*k**2
Let i(m) = -2*m + 255. Let o(p) be the second derivative of p**3/3 + 378*p. Give o(i(z)).
-4*z + 510
Let m(k) be the second derivative of -7*k**4/24 - 6*k**2 + 15*k. Let i(t) be the first derivative of m(t). Let z(p) = p**2. What is i(z(o))?
-7*o**2
Let j(f) = 3*f. Let w(g) = -g. Let h be (-3 - -2)*(-24)/(-2). Let y = h - -18. Let b(l) = y*j(l) + 17*w(l). Let q(x) = -x. Calculate b(q(v)).
-v
Let h(m) = 3 + 24*m - 3. Let y(d) be the third derivative of d**4/24 + 254*d**2 + 3*d. Give h(y(f)).
24*f
Let s(f) = 5*f. Let m(k) = -4*k. Let p(o) = -6*m(o) - 5*s(o). Let j(b) = -212*b. Give j(p(h)).
212*h
Let x(i) = -10*i. Let r(d) be the second derivative of -d**4/2 + 2*d + 1. What is x(r(t))?
60*t**2
Let c(a) = -33*a. Let u(s) be the first derivative of 1189*s**2 - 28. Let p(r) = -145*c(r) - 2*u(r). Let q(g) = 3*g. What is q(p(n))?
87*n
Let y(o) = 9*o + 4. Let i(m) = -360*m - 162. Let d(n) = -2*i(n) - 81*y(n). Let l(w) = -24*w. Give l(d(j)).
216*j
Let f(k) = -6*k**2 - 346 + 346 + 3*k**2. Let q(x) = -x - 3*x - 4*x + 5*x. What is q(f(a))?
9*a**2
Let l(d) = 1384 - 1384 + d. Let v(i) = 49*i**2. Give v(l(s)).
49*s**2
Let l be -3 + 3 - (-1 + 2)*0. Let p(h) = l*h**2 + 0*h**2 - h**2 + 2*h**2. Let i(x) = 2*x + 1. Determine p(i(y)).
4*y**2 + 4*y + 1
Let b(s) be the third derivative of s**5/5 + 2*s**2 - 4. Let l(k) = 7*k. Determine b(l(u)).
588*u**2
Let b = -25 + 37. Let r(u) = 24*u - 11*u - b*u. Let x(t) = 2*t**2. What is x(r(h))?
2*h**2
Let z(v) = 76*v + 11. Let r(t) = -21*t**2. Give z(r(a)).
-1596*a**2 + 11
Let r(c) = c. Let i(a) = 12*a**2 + 84*a - 8. Calculate r(i(p)).
12*p**2 + 84*p - 8
Let c(y) = y**2 - 6*y**2 + y**2. Let t(v) be the second derivative of -v**4/4 - 1119*v. Determine c(t(l)).
-36*l**4
Let i(t) = 2*t**2 - 10*t**2 + 19*t**2. Let c(d) = 19*d**2. What is c(i(b))?
2299*b**4
Let z(q) be the first derivative of -q**3/3 - 39*q + 14. Let j(n) = -2*n. Determine j(z(r)).
2*r**2 + 78
Let t(a) = -20123*a. Let z(f) = 21*f. Determine z(t(g)).
-422583*g
Let w(p) = -503*p + 1 + 499*p - 1. Let g(o) = -2*o. Determine w(g(q)).
8*q
Let m(z) be the second derivative of -z**3/6 - 10*z. Let t = 2 - 1. Let w(g) = 10*g**2 + 3 - t - 2. Give m(w(h)).
-10*h**2
Let s(c) = 2*c - 2. Suppose 3*d = 2*d + 2. Let z be s(d). Let b(v) = -5*v**z + 3*v**2 + 2*v**2 + 3*v**2. Let l(o) = -2*o**2. What is l(b(h))?
-18*h**4
Let w(h) = -5*h**2. Let p(n) be the second derivative of 0 + 14*n + 0*n**3 + 0*n**2 + 1/6*n**4. Calculate w(p(b)).
-20*b**4
Let u(j) be the third de | {
"pile_set_name": "DM Mathematics"
} |
lilitres are there in seven halves of a litre?
3500
How many grams are there in three fifths of a kilogram?
600
Convert 5698633.5ns to hours.
0.00000158295375
What is five quarters of a centimeter in micrometers?
12500
How many meters are there in 3/10 of a kilometer?
300
Convert 924256.1 weeks to days.
6469792.7
How many millilitres are there in 25/2 of a litre?
12500
What is 128067.5 kilograms in grams?
128067500
Convert 82.00745kg to grams.
82007.45
What is 8934.085t in kilograms?
8934085
What is one quarter of a kilometer in meters?
250
What is twenty-seven fifths of a week in minutes?
54432
How many decades are there in 1/5 of a millennium?
20
What is 234.8706 months in years?
19.57255
How many minutes are there in 5/6 of a week?
8400
How many seconds are there in four fifteenths of a day?
23040
What is 382.7112 nanoseconds in seconds?
0.0000003827112
What is 54474.02 nanograms in milligrams?
0.05447402
How many months are there in 17/2 of a year?
102
How many nanometers are there in fourty-six fifths of a micrometer?
9200
What is 7.391465 years in decades?
0.7391465
What is 5/4 of a litre in millilitres?
1250
How many millilitres are there in 12/25 of a litre?
480
Convert 303.3948 millilitres to litres.
0.3033948
What is one twentieth of a milligram in nanograms?
50000
How many micrometers are there in 3/50 of a centimeter?
600
What is 1/4 of a decade in months?
30
What is 11025.26019 milliseconds in weeks?
0.000018229596875
Convert 0.2936625 millilitres to litres.
0.0002936625
Convert 24783.02 millilitres to litres.
24.78302
Convert 46.08103 millilitres to litres.
0.04608103
What is 5/8 of a litre in millilitres?
625
How many months are there in 13799.08 years?
165588.96
What is 1/16 of a milligram in nanograms?
62500
Convert 0.6163444m to micrometers.
616344.4
How many millennia are there in 207.04131 months?
0.0172534425
What is 740947.6 litres in millilitres?
740947600
How many days are there in 45.746748 seconds?
0.00052947625
Convert 0.2384356 micrograms to nanograms.
238.4356
How many kilograms are there in 3/25 of a tonne?
120
What is 80468.3m in micrometers?
80468300000
What is 1/5 of a hour in seconds?
720
How many weeks are there in 6626.6025 days?
946.6575
How many litres are there in 7.73779 millilitres?
0.00773779
What is 27/4 of a litre in millilitres?
6750
How many centimeters are there in 792.0768um?
0.07920768
What is 518.1023 years in months?
6217.2276
How many meters are there in 15/4 of a kilometer?
3750
How many millilitres are there in 1/4 of a litre?
250
What is 32/5 of a litre in millilitres?
6400
How many minutes are there in thirty-seven halves of a day?
26640
How many milliseconds are there in 217.0773 minutes?
13024638
How many millimeters are there in three tenths of a meter?
300
Convert 172770.1 meters to millimeters.
172770100
How many decades are there in twenty-five quarters of a millennium?
625
What is 11/4 of a litre in millilitres?
2750
What is 0.7688521 centimeters in micrometers?
7688.521
How many nanograms are there in 0.181929 kilograms?
181929000000
What is 3/10 of a tonne in kilograms?
300
How many millimeters are there in 3/5 of a meter?
600
What is 1/63 of a week in minutes?
160
What is 6.956375l in millilitres?
6956.375
What is 3/8 of a litre in millilitres?
375
What is 457.8608 millilitres in litres?
0.4578608
What is 0.0562101mm in micrometers?
56.2101
How many millilitres are there in 1/5 of a litre?
200
What is twenty-eight thirds of a minute in seconds?
560
What is 232.7048 grams in nanograms?
232704800000
How many minutes are there in 11/2 of a day?
7920
Convert 3553.171 centuries to decades.
35531.71
How many meters are there in five quarters of a kilometer?
1250
How many minutes are there in 4/15 of a day?
384
What is 4.8292947 microseconds in hours?
0.00000000134147075
What is 51/5 of a millennium in decades?
1020
How many millilitres are there in three fifths of a litre?
600
How many seconds are there in 1/5 of a hour?
720
How many millimeters are there in 990338.1 kilometers?
990338100000
What is seventy-three quarters of a millisecond in microseconds?
18250
What is 7/4 of a minute in seconds?
105
How many centimeters are there in nine tenths of a meter?
90
What is 11/4 of a year in months?
33
How many months are there in 7666.609 centuries?
9199930.8
Convert 0.371512l to millilitres.
371.512
What is 61211.52ml in litres?
61.21152
How many millilitres are there in twenty-one eighths of a litre?
2625
How many millimeters are there in five quarters of a meter?
1250
What is one quarter of a litre in millilitres?
250
Convert 88863.94cm to millimeters.
888639.4
How many litres are there in 42.06879ml?
0.04206879
How many litres are there in 13445.14ml?
13.44514
What is 0.376246 nanoseconds in microseconds?
0.000376246
Convert 562.5442 nanograms to kilograms.
0.0000000005625442
How many minutes are there in 21/5 of a day?
6048
What is 24.24435 hours in minutes?
1454.661
How many millilitres are there in seven halves of a litre?
3500
What is 1/20 of a millennium in years?
50
How many millennia are there in 0.5622967 centuries?
0.05622967
What is 2724.69 days in hours?
65392.56
What is 538820.5ng in kilograms?
0.0000005388205
What is four thirds of a day in hours?
32
How many kilometers are there in 5716.204 micrometers?
0.000005716204
Convert 738.1899 micrometers to meters.
0.0007381899
Convert 139.35051 minutes to days.
0.0967711875
How many litres are there in 68455.01 millilitres?
68.45501
How many millilitres are there in 0.5369236 litres?
536.9236
Convert 4.57428 seconds to microseconds.
4574280
Convert 0.0215028l to millilitres.
21.5028
What is 15/4 of a year in months?
45
Convert 892.3776 years to decades.
89.23776
How many micrograms are there in 0.5618385 grams?
561838.5
How many weeks are there in 287191.548s?
0.47485375
How many seconds are there in eighteen fifths of a hour?
12960
What is seventeen halves of a litre in millilitres?
8500
What is 502316.9 centimeters in millimeters?
5023169
Convert 514029.4 grams to milligrams.
514029400
How many grams are there in 4841.064t?
4841064000
How many millilitres are there in twenty-nine halves of a litre?
14500
What is 610.266 decades in millennia?
6.10266
How many kilograms are there in 1824.379 micrograms?
0.000001824379
What is nineteen quarters of a decade in months?
570
What is 17/4 of a milligram in micrograms?
4250
How many tonnes are there in 1704.077ug?
0.000000001704077
What is 485179.4 centuries in decades?
4851794
What is 96314.41ng in tonnes?
0.00000000009631441
Convert 0.9324929 tonnes to grams.
932492.9
What is 0.8748383 weeks in minutes?
8818.370064
What is 2.781322 microseconds in nanoseconds?
2781.322
What is 2.311407 kilometers in nanometers?
2311407000000
What is 98.57511mg in nanograms?
98575110
How many microseconds are there in 840.0481 days?
72580155840000
How many milligrams are there in one quarter of a gram?
250
What is 51.94251 years in centuries?
0.5194251
How many millimeters are there in 201.0617km?
201061700
Convert 387007.9 litres to millilitres.
387007900
What is 3/40 of a century in months?
90
How many micrograms are there in 3/50 of a milligram?
60
What is five eighths of a gram in milligrams?
625
How many months are there in 1/30 of a decade?
4
Convert 64319.51 minutes to microseconds.
3859170600000
What is 1/5 of a millennium in centuries?
2
Convert 85.46598kg to nanograms.
85465980000000
How many decades are there in 47845.1 years?
4784.51
What is 1875.1632 microseconds in minutes?
0.00003125272
What is 3/8 of a litre in millilitres?
375
What is 1/4 of a microgram in nanograms?
250
How many nanoseconds are there in 21/5 of a microsecond?
4200
How many years are there in seven halves of a millennium?
3500
How many nanometers are there in 83278.88 centimeters?
832788800000
What is 75/4 of a milligram in micrograms?
18750
How many hours are there in 1/4 of a day?
6
What is three tenths of a gram in milligrams?
300
What is 13/5 of a decade in years?
26
Convert 6.180393 millennia to decades.
618.0393
What is 95471.25 days in microseconds?
8248716000000000
How many nanoseconds are there in 0.0711382us?
71.1382
How many nanograms are there in 0.8234454mg?
823445.4
What is 42/5 of a litre in millil | {
"pile_set_name": "DM Mathematics"
} |
60.997
Work out 0.1 * 35143998.
3514399.8
Multiply -13996 and 175.
-2449300
Work out 0.5 * 13268.06.
6634.03
Calculate 1573*0.17788.
279.80524
602 times -52407.1
-31549074.2
Product of 0.01 and -2948687.8.
-29486.878
Calculate -439.2*26630.
-11695896
0.02105 times -10962
-230.7501
Calculate -1*-5777972.
5777972
Multiply 0.5 and -0.054413.
-0.0272065
Calculate -10040887*-8.
80327096
-44205363 * -1
44205363
What is 119862 times 0.1532?
18362.8584
What is 61013 times -0.0224?
-1366.6912
0.11*-10298394
-1132823.34
4 * -4273.895
-17095.58
What is -0.1 times 4268224?
-426822.4
What is the product of -6.9 and 13.226?
-91.2594
1421.82*-0.3
-426.546
-38*-5782
219716
Work out -2591.19 * 14.
-36276.66
14081 times -0.00205
-28.86605
What is -3297151 times 10?
-32971510
Calculate 1918.711*-0.21.
-402.92931
0.06853*-194
-13.29482
1.8*-192803.2
-347045.76
-71.795482*-4
287.181928
What is the product of -23901.49 and 0.5?
-11950.745
Product of 4.99 and -1.1495.
-5.736005
Product of 79672.3 and -514.
-40951562.2
Multiply 50.82695 and -7.
-355.78865
What is 115 times 481067?
55322705
What is -11 times -737049?
8107539
Product of 1.383 and 105.
145.215
11 * -124156
-1365716
1389396*-0.3
-416818.8
Product of -76 and 1.485936.
-112.931136
Product of -37491 and 247.
-9260277
Work out 10857 * 4811.
52233027
Product of -956922232 and -0.3.
287076669.6
-543 times 0.045516
-24.715188
What is 0.35425 times -0.2807?
-0.099437975
What is the product of -1.6777 and -3562?
5975.9674
Product of 26335 and -0.03871.
-1019.42785
What is the product of -0.5 and 3550793?
-1775396.5
What is the product of 129841 and -7?
-908887
0.2 times 12493.4668
2498.69336
-60713 times 11.14
-676342.82
What is -1289 times -23.2?
29904.8
Product of 0.4 and -4426525.
-1770610
0.2*67191861
13438372.2
What is 258 times 2138941?
551846778
Calculate -4*0.05876486.
-0.23505944
-126670905 times 0.4
-50668362
Multiply 13570231 and 0.2.
2714046.2
Product of -88338347 and -5.
441691735
0.06 times -24.889701
-1.49338206
Multiply -3.84 and 3298.11.
-12664.7424
-0.13*-32800518
4264067.34
Multiply 286.5 and -712.
-203988
What is 86270 times -0.05927?
-5113.2229
3164 times 34138
108012632
Work out -0.1 * -2.2353389.
0.22353389
0.02 * -4352400
-87048
What is -35853.9 times -58?
2079526.2
Multiply -22250.1 and -525.7.
11696877.57
What is 0.3 times -5796080?
-1738824
What is the product of 4830 and 0.0134?
64.722
Product of 12754029 and 0.5.
6377014.5
Calculate 2127*308228.
655600956
Product of -5 and 36024880.
-180124400
Work out 0 * 8262341.
0
Work out -36285991 * -3.
108857973
Calculate 13.29*-299513.
-3980527.77
Product of 0.405 and -71490.
-28953.45
-12141 times 139
-1687599
Calculate -263521*-0.04638.
12222.10398
1*-683926.3
-683926.3
Work out -1.6 * -0.07905666.
0.126490656
What is the product of 42 and -105.243?
-4420.206
What is -7 times 0.0038941?
-0.0272587
Product of 82138211 and 0.4.
32855284.4
0.17848 * -1.608
-0.28699584
Product of -1.428 and -1652.1.
2359.1988
-66.91749*-5.3
354.662697
22 * -605635
-13323970
What is 5 times -9223770?
-46118850
-2 * -95455523
190911046
Work out -0.2 * -2090063.
418012.6
What is -1.1 times 90819?
-99900.9
153 times -234345
-35854785
Work out -106.221 * 3745.
-397797.645
What is 5 times 0.100532275?
0.502661375
Calculate -0.32*159355.
-50993.6
Product of 0.12 and 30571986.
3668638.32
-21679.1648 * -0.05
1083.95824
Work out 278 * 8295.
2306010
What is the product of 60782.854 and -0.7?
-42547.9978
Work out 7535426 * -0.5.
-3767713
0.04 * -42477941
-1699117.64
Work out 7 * -46345218.
-324416526
Product of -0.06 and -7083.641.
425.01846
-1*24121418
-24121418
0.3*-4547025
-1364107.5
Product of -755.5 and -7.2.
5439.6
Multiply 34985 and 10.445.
365418.325
What is the product of 0.2 and -13784723.8?
-2756944.76
Multiply -1 and -5.693076.
5.693076
0.072 times -23579
-1697.688
Product of 31284971 and 4.
125139884
Work out 464539 * -6.
-2787234
What is the product of 62 and 12669892?
785533304
What is -1471449 times -0.0203?
29870.4147
Product of -0.25 and 1184.186.
-296.0465
Work out 743 * 122536.
91044248
What is 4529 times -0.000278?
-1.259062
-177432 times 4558
-808735056
Work out -0.139 * 1.7981.
-0.2499359
0.218565*-321
-70.159365
What is 58.6115 times 34?
1992.791
Work out -28 * -501.18861.
14033.28108
Product of 17 and 0.02339.
0.39763
Product of 3628.89 and -65.
-235877.85
49 * 276208
13534192
What is -0.12 times 2599570?
-311948.4
Multiply -598 and 51590.
-30850820
What is 255127 times -218?
-55617686
Product of 1663176 and 0.1.
166317.6
What is -8 times -130886.4?
1047091.2
What is -627.993 times 86?
-54007.398
10.8*0.075561
0.8160588
Multiply 10 and -42.5497.
-425.497
Work out 51151 * 3133.
160256083
Product of 17.82 and -3.132.
-55.81224
-0.07 times 41012.25
-2870.8575
Calculate -311250161*0.4.
-124500064.4
Work out 812 * 15217.
12356204
Product of -580.85551 and -18.
10455.39918
What is the product of -0.2 and 12199303?
-2439860.6
-0.3 times -1557.9057
467.37171
Calculate 0.0143*0.028223.
0.0004035889
What is -0.205 times 6123?
-1255.215
3 times 76.259
228.777
Work out 323.86 * 6.
1943.16
562267 * -8.7
-4891722.9
-3 times 3506886
-10520658
Product of 32332968 and 0.5.
16166484
-421058998 * 0
0
What is -0.794492936 times -1?
0.794492936
Product of 88 and 104004.
9152352
Work out 41.6 * 1131.
47049.6
144.5 times 16.7993
2427.49885
Product of -2038.3 and -0.09.
183.447
Calculate -5084364*0.4.
-2033745.6
0.03139 * 0.007536
0.00023655504
Work out 114522 * -0.5853.
-67029.7266
What is the product of -1019058.3 and -4?
4076233.2
Calculate 33*17125777.
565150641
0.1927352*-8
-1.5418816
Calculate -2.5*16.64707.
-41.617675
What is the product of 0.296 and -1.4837?
-0.4391752
What is the product of 0.9 and 0.12584601?
0.113261409
Multiply -3 and -105664.785.
316994.355
-11367 * 6.1386
-69777.4662
Calculate 45*554.8.
24966
Product of -10172 and -8.
81376
Work out -25.585 * -0.05652.
1.4460642
-217753 * -1
217753
Multiply 16559 and 35544.
588573096
What is the product of -3 and -7947292.9?
23841878.7
Multiply -16005 and 2.178.
-34858.89
Multiply 803.5 and -786.
-631551
-177.9513*0.16
-28.472208
What is the product of -0.07 and -5106.5999?
357.461993
-0.4*0.029284
-0.0117136
Product of 0.9 and -17872.7.
-16085.43
What is the product of 6 and 5.97617?
35.85702
Multiply -0.198998 and 1848.
-367.748304
Work out 0.196 * -25490.
-4996.04
Multiply -308 and 31584.
-9727872
What is the product of 0 and -0.79201397?
0
Multiply -8 and -601837.
4814696
Work out -0.153 * -332848.
50925.744
What is 130488 times 31.3?
4084274.4
Calculate -5*6983086.
-34915430
Product of 0.03 and 109940.09.
3298.2027
Multiply -613839 and 11.
-6752229
-9933100 times 0.4
-3973240
What is 0.28278 times 695?
196.5321
What is the product of 17764 and -3518?
-62493752
Multiply 0.06 and -4251.108.
-255.06648
Multiply 2 and -224351868.
-448703736
Multiply -27571.3 and -6.6.
181970.58
74.6343*-18
-1343.4174
-0.053635 * -1.05
0.05631675
-111 times 4064.899
-451203.789
1 times -287973148
-287973148
Product of -57171595 and 5.
-285857975
-30*-759.4034
22782.102
What is the product of -0.2 and 36990.58?
-7398.116
Product of 153048 and 504.
77136192
-0.0047 * -115.0491
0.54073077
Calculate 102*-17451.
-1780002
Work out -951 * -18347.8.
17448757.8
Multiply -1131481 and -3.
3394443
-58*111293
-6454994
-1564547*94
-147067418
What is 122 times 605822?
73910284
What is the product of 52 and -49151.5?
-2555878
Work out 20157253 * 0.2.
4031450.6
Work out -296.5 * 2264.
-671276
-680 * 52049
-35393320
What is 1358 times -3050?
-4141900
Multiply 0.28 and 132107.
36989.96
What is 17238 times 495?
8532810
What is 19116 times -1.2?
-22939.2
-0.1*32046717
-3204671.7
Multiply 1908 and -293.7.
-560379.6
Work out 7.412786 * 0.2.
1.4825572
0.0514 times 114273
5873.6322
-19.3973 times 0.018
-0.3491514
Calculate -0.03*0.2074741.
-0.006224223
-1059772*0
0
What is the product of -535473 and 82?
-43908786
103.5 times -39747
-4113814.5
-1460910*39
-56975490
Work out 1 * -29.4321163.
-29.4321163
Work out -0.5 * 157401238.
-78700619
What is 0.19 times 1078645?
204942.55
Product of -13678 and -10.09.
138011.02
-1 * 644920
-644920
Calculate 613*541210.
331761730
3 * -2326546
-6979638
Calculate -9082427*4.
-36329708
-0.2*18.1497393
-3.62994786
| {
"pile_set_name": "DM Mathematics"
} |
+ 15*d**2 + 14*d**2 wrt d.
-12*d - 46
Let b(f) be the first derivative of 101*f**5/60 + 23*f**3/3 - 47*f**2/2 - 44. Let r(d) be the second derivative of b(d). Differentiate r(v) with respect to v.
202*v
Differentiate f + 958*f**3 + 0*f + 2146 + 934*f**3 - 1330 + f with respect to f.
5676*f**2 + 2
Find the third derivative of 107 - 44 - 1235*r**4 - 60 + 16*r**2 wrt r.
-29640*r
What is the second derivative of 3798*g**3 + 1178*g - 3796*g**3 + 230*g**2 - 344*g wrt g?
12*g + 460
Suppose 29*b = 4*b - 11 + 61. Let n(w) be the second derivative of 1/20*w**5 + 0*w**b - 19/12*w**4 + 0*w**3 - 15*w + 0. Find the third derivative of n(x) wrt x.
6
Differentiate -523*c**2 - 31*c + 28*c + 771*c**2 + 214 + 535 with respect to c.
496*c - 3
Let c be ((-45)/(-30))/((-3)/(-10)). Suppose 4*s - c*u - 25 = 0, -4*u = -0*s + 3*s - 11. What is the second derivative of 9*m + 4*m + 6*m - 19*m**s wrt m?
-380*m**3
What is the derivative of 11414*k**2 + 1063*k**3 + 879 - 11414*k**2 wrt k?
3189*k**2
Find the second derivative of 1086*j + 24 - 12 - 3162*j**2 - 11 + 6937*j**2 wrt j.
7550
Let y(j) be the third derivative of j**9/504 + j**8/336 - 61*j**6/12 - j**5/60 - 8*j**4 + j**3/3 - 24*j**2 + 8*j + 5. Find the third derivative of y(d) wrt d.
120*d**3 + 60*d**2 - 3660
Let k = -40 + 43. Suppose 2*a - k*t = 19, -4*a - 17 = -0*a + 5*t. What is the derivative of -2 - 11 + 1 - 6 + 5*w**a wrt w?
10*w
Suppose 3*t = 4 + 29. Find the third derivative of 15*m**6 + m + 4*m - 2*m**2 - 11*m - t*m + m**2 wrt m.
1800*m**3
Let f(d) be the second derivative of 141*d**5/20 + 353*d**4/6 - 1265*d. What is the third derivative of f(m) wrt m?
846
Suppose 121 = b + 2*d, 0 = -3*d + 8 + 1. Find the second derivative of -b*t - 31*t**3 + 64*t + 64*t - 1 wrt t.
-186*t
Let u = 9 - 6. Let i be ((-126)/u)/(-3 + -1 + 2). What is the derivative of -i + 30*s + 24*s - 21*s wrt s?
33
Find the third derivative of 28*i**4 - 27*i**3 - 65*i**4 + 2*i**5 - 7*i**3 - 1850*i**2 + 14*i**4 wrt i.
120*i**2 - 552*i - 204
Let a(n) be the third derivative of 817*n**5/20 - 2207*n**4/12 - 5977*n**2. Find the second derivative of a(x) wrt x.
4902
Let g(o) be the third derivative of -o**6/30 + 27*o**5/20 - o**4/2 - o**3/6 - 61*o**2 - 1. What is the second derivative of g(m) wrt m?
-24*m + 162
Suppose -5*z = -123 + 98. Suppose -1 = 4*h - 17. Find the third derivative of -5 - 12*o**h + 0*o**2 + 11*o**2 + z wrt o.
-288*o
Let z = -308 - -311. Find the second derivative of 5331 + 3*g + 0*g + 2*g**2 - 5351 + 3*g**z wrt g.
18*g + 4
Let r(u) = 264*u**3 - 172*u**2 - 3*u - 12. Let p(j) = -262*j**3 + 173*j**2 + 3*j + 16. Let s(y) = -3*p(y) - 4*r(y). What is the third derivative of s(x) wrt x?
-1620
Let b(u) = -u**2 + 19*u + 37. Let y be b(19). Suppose 32*h - y*h = -15. Differentiate 39*i**3 + 2 - 52*i**h + 10 with respect to i.
-39*i**2
Suppose z + 3*o = -212 + 226, 10 = z + 2*o. Let p(c) be the first derivative of 2*c - 24 - 26/3*c**3 + 0*c**z. What is the derivative of p(h) wrt h?
-52*h
What is the second derivative of 3415403*o**2 - 3414022*o**2 - o + 0*o - 2*o - 144 wrt o?
2762
Suppose 2*w + 99 = 119. What is the second derivative of -2*g + w + 150*g**5 - 27*g**4 + 27*g**4 + 12 wrt g?
3000*g**3
Differentiate -13158 - 1978*v**2 + 9094 - 1727*v**2 with respect to v.
-7410*v
Let z(d) be the second derivative of d**6/30 - 13*d**5/10 - 7*d**4/12 + 14*d**3 + 13*d + 18. What is the third derivative of z(b) wrt b?
24*b - 156
Let f be ((-76)/(-10))/19 + 2 + 12/(-5). Let n(d) be the first derivative of f*d - 16 - 7/2*d**2 + 0*d**3 + 9/4*d**4. Find the second derivative of n(c) wrt c.
54*c
Let h(i) = 898*i**2 - 3931*i. Let f(c) = -c**2. Let r(k) = -4*f(k) - h(k). What is the second derivative of r(y) wrt y?
-1788
What is the derivative of 357*z - 118*z + 1203 + 245*z + 15*z + 53*z wrt z?
552
Let c(h) be the third derivative of 55*h**8/48 - h**5/10 - 1681*h**4/24 + h**3/3 - 23*h**2 + 13. What is the second derivative of c(n) wrt n?
7700*n**3 - 12
Let x(f) = -16*f**2 - 16 + 5 - 1 - 16*f + f**3. Let z be x(17). Find the third derivative of 196*c**2 - 193*c**2 + z*c**6 + c**6 wrt c.
720*c**3
Find the second derivative of 1 + 221*h + 522*h - 156*h - 319*h**2 - 2572*h**2 wrt h.
-5782
Suppose 0 = 7*k - 98 + 14. Differentiate 35*n + n + 12 + k*n + 3*n with respect to n.
51
Suppose -b = -4, -9*b + 18 = -2*n - 5*b. Let p be 9/2 - -3 - n/(-2). What is the derivative of 6 + 0*j**4 + 7 + 3 - p*j**4 wrt j?
-28*j**3
Let j(f) be the second derivative of -661*f**4/6 - 6*f**2 + 59*f + 6. What is the first derivative of j(o) wrt o?
-2644*o
Let g(z) = -4*z + 34. Let h be g(8). What is the third derivative of 446 - 74*b**5 - 446 - 74*b**h wrt b?
-4440*b**2
Let z = -12512 + 37538/3. Let k(p) be the second derivative of z*p**3 - 17*p + 0 + 8*p**2. What is the derivative of k(q) wrt q?
4
Let h(d) = -d**3 - 4*d**2 + 4*d + 4. Let t be h(-4). Let k = t - -14. What is the third derivative of 5*o**k - 46*o**4 - 54*o**4 + 92*o**4 wrt o?
-192*o
Let j(g) = 14*g**2 + g + 932. Let o(h) = -112*h**2 - 9*h - 7443. Let d(c) = -51*j(c) - 6*o(c). What is the derivative of d(t) wrt t?
-84*t + 3
Let d(v) be the third derivative of 11845*v**9/504 + v**5/12 - 131*v**3 + 12068*v**2. Find the third derivative of d(k) wrt k.
1421400*k**3
Let x(v) be the first derivative of -295*v**4 - 682*v**3/3 - 377. What is the third derivative of x(y) wrt y?
-7080
Suppose 3*i - 15 = 0, 2*v + 2*i - 12 = v. Find the third derivative of -28*x**3 - 285*x**2 - 12*x**3 + 322*x**v wrt x.
-240
Let v(q) = 437*q**3 + 924*q**2. Let l = -618 + 610. Let o(u) = -145*u**3 - 308*u**2. Let r(h) = l*o(h) - 3*v(h). Find the third derivative of r(j) wrt j.
-906
Let c = 18 - 20. Let s be (5/c)/(10/(-20)). What is the second derivative of 2*h + 4*h - 5*h - 4*h**s - 10*h**5 wrt h?
-280*h**3
Let q(z) = z**3 + z + 1. Let y(c) = 49*c**4 + 4*c**3 + 8*c**2 + 827*c + 4. Let r(i) = 4*q(i) - y(i). What is the second derivative of r(s) wrt s?
-588*s**2 - 16
Let r(g) be the third derivative of -41*g**7/210 - 11*g**6/120 + 4541*g**4/24 - 2*g**2 - 360*g + 6. Find the second derivative of r(c) wrt c.
-492*c**2 - 66*c
Find the second derivative of -3*p + 1840 + 1254 - 1611 + 388*p**2 + 1275 wrt p.
776
Let j(n) be the third derivative of -4 + 0*n**4 - 137/60*n**5 - 32*n**2 + 0*n - 59/6*n**3. Differentiate j(b) with respect to b.
-274*b
Differentiate 66*v + 669 + 261 - 33 wrt v.
66
Suppose u = -10*u - 22616. Let t be 3/(-2)*u/6 - 2. What is the third derivative of t*d**2 - 7*d**3 - 519*d**2 + 2*d**3 wrt d?
-30
Let x(u) = -55*u - 45. Let t(o) = -1. Let i(j) = 55*j + 50. Let n(a) = -i(a) - 5*t(a). Let m(q) = 7*n(q) - 6*x(q). Differentiate m(l) with respect to l.
-55
Let u(g) = 149*g + 152. Let m(i) = -448*i - 455. Suppose 557*p - 552*p - 55 = 0. Let a(w) = p*u(w) + 4*m(w). Find the first derivative of a(o) wrt o.
-153
Let f(j) = 2*j + 86. Let n be f(-42). What is the second derivative of 7 + 4*r + 789*r**2 - 825*r**n + 3*r - 5 - r**3 wrt r?
-6*r - 72
Let l(q) be the third derivative of -103/40*q**6 + 0*q**3 - 19/12*q**5 - 3*q**2 + 0*q**4 + 0 + 0*q. Find the third derivative of l(d) wrt d.
-1854
Let k(o) be the second derivative of -175*o**4/12 - o**3 + 83*o**2/2 - 31*o + 8. What is the second derivative of k(s) wrt s?
-350
Let r(l) = -5*l**3 + 10*l**2 - 6*l**2 + 8*l + 5 - 3*l + 4*l**3. Let m be r(5). Differentiate -5*g**4 - 6 + m*g**4 + 16*g**4 - 10 with respect to g.
64*g**3
Find the first derivative of 18*i - 2025 - 81*i + 5*i**2 - 6*i**2 + 19*i + 14*i wrt i.
-2*i - 30
Let g(k) be the third derivative of -71*k**7/42 + 17*k**5/60 - k**4/8 + 1367*k**2. What is the third derivative of g(y) wrt y?
-8520*y
What is the derivative of 83567*v**2 - 86648*v**2 + 299 - 1080 - 463 wrt v?
-6162*v
Let z(i) be the third derivative of 158*i**7/15 + 91*i**5/20 - 20*i**2 + 27. Find the third derivative of z(g) wrt g.
53088*g
What is the second derivative of 724*z**3 + 1181868*z - 1177695*z + 3632*z**3 wrt z?
26136*z
Let b = 38 - -37. Let c = -70 + b. Find the second derivative of 6*t**c + 5*t**5 - 11*t + t**5 - 2*t**5 wrt t.
200*t**3
Let x be 657/2 - (-1)/(-2). Let t = -3983 - -3986. Differentiate 14 + 7 + 328*k - x*k + t*k**2 wrt k.
6*k
Let y(g) = -881*g**2 + 5*g + 178. Let f(q) = -3525*q**2 + 20*q + 714. Let l(i) = -2*f(i) + 9*y(i). What is the second der | {
"pile_set_name": "DM Mathematics"
} |
**2 - 10*o. Let t(h) = -h**2 + 3*h. Give r*c(p) + 7*t(p).
-3*p**2 + p
Let n(x) = 5*x - 1. Let r(v) be the first derivative of 3*v**2/2 - 159. Give -6*n(u) + 11*r(u).
3*u + 6
Let d(f) = -3*f - 22. Let v(n) = -20*n - 109. Let k(b) = -7*b - 38. Let j(u) = -8*k(u) + 3*v(u). What is -6*d(t) + 5*j(t)?
-2*t + 17
Let o(c) = 132*c**2. Suppose -4*v = -3*y - 264, 6*y - 11*v + 6*v + 546 = 0. Let x(f) = -7*f**2. Calculate y*x(h) - 5*o(h).
12*h**2
Let b(t) = 21*t + 246. Let y(z) = 14*z + 123. Give 3*b(j) - 5*y(j).
-7*j + 123
Let m(k) = -518*k + 5. Let r(v) = 521*v - 7. Determine -2*m(t) - 3*r(t).
-527*t + 11
Let y(z) = 1. Let j(l) be the first derivative of -l**4/3 - l**3/3 + 4*l**2 - 106*l - 46. Let r(t) be the first derivative of j(t). What is -r(q) + 8*y(q)?
4*q**2 + 2*q
Let c(g) = 7*g**3 + 6*g**2 + 7*g - 1. Let j = 32 - 30. Let d(i) = -72 - j*i**3 + 8*i**3 + 5*i**2 + 6*i + 71. Calculate -5*c(b) + 6*d(b).
b**3 + b - 1
Let m(a) = 819*a + 8. Let k(r) = 798*r + 9. Calculate -7*k(t) + 8*m(t).
966*t + 1
Let p(v) = -v - 6. Let h(l) = 7*l + 1192. Determine h(a) + 6*p(a).
a + 1156
Let x(q) = -7*q**2 + 484*q + 8. Let y(k) = 36*k**2 - 2413*k - 44. Give -11*x(i) - 2*y(i).
5*i**2 - 498*i
Let p(z) = 40*z**2 + 5. Let t(f) be the second derivative of -5*f**4 - 4*f**2 - 2418*f. Calculate -8*p(n) - 5*t(n).
-20*n**2
Let h(z) = -16*z**3 - 731*z**2 + 3*z. Let m(g) = -22*g**3 - 1096*g**2 + 4*g. Give 7*h(v) - 5*m(v).
-2*v**3 + 363*v**2 + v
Let z(c) = 79*c**2 + 66*c - 72. Let u(q) = 32*q**2 + 33*q - 36. Give -5*u(l) + 2*z(l).
-2*l**2 - 33*l + 36
Let b(c) = 243*c**3 - 13*c**2 - 24*c - 6. Let o(g) = -122*g**3 + 6*g**2 + 11*g + 3. Determine -5*b(x) - 11*o(x).
127*x**3 - x**2 - x - 3
Let y(z) = -18*z**2 + 2*z. Let s(k) be the second derivative of 19*k**4/12 - k**3/3 - 43*k - 45. Calculate -5*s(l) - 6*y(l).
13*l**2 - 2*l
Let l(z) = z**2 + z + 75. Let f(k) = 2*k**2 + 3*k + 224. Determine 3*f(w) - 8*l(w).
-2*w**2 + w + 72
Let v be 8*((1 - 5)/2)/1. Let k(d) = 2*d - 5*d - d + 3*d. Let n(x) = 8*x. What is v*k(o) - n(o)?
8*o
Let b(f) = 27*f + 12. Let p be 30 + 0/(1 - -3). Let m = 93 - 88. Let g(t) = m + p*t + 47*t - 66*t. Determine -5*b(n) + 12*g(n).
-3*n
Let g be 22/(-33) - (3933/(-69))/(-3 + -6). Let d(s) = 5*s - 6. Let v(z) = -3*z + 4. Let r(t) = 5*d(t) + 8*v(t). Let p(o) = 4*o + 6. Calculate g*r(u) + 2*p(u).
u - 2
Let v(g) = g**3 + g**2 - 2*g - 1. Let l be v(-3). Let f(s) = -s - 3. Let h(j) = 2*j + 6. Let q(k) = -333*k + 5988. Let a be q(18). Determine a*h(y) + l*f(y).
y + 3
Let p(y) = 5*y**2 - y. Let j be p(1). Let x(s) = -3*s**3 - 31*s**2 - 11*s. Let w(t) = t**3 + 10*t**2 + 4*t. Calculate j*x(n) + 11*w(n).
-n**3 - 14*n**2
Let z(y) = -630*y**3 - 7*y**2 - y + 11. Let x(n) = 630*n**3 + 6*n**2 + n - 10. Give -7*x(h) - 6*z(h).
-630*h**3 - h + 4
Let r(k) = 5*k - 15. Let w(n) = 5 - 3 - 3. Let l = -1471 - -1456. Calculate l*w(q) + r(q).
5*q
Let l(a) = -3*a**3 - 62*a**2 + 8*a - 29. Let i(w) = 5*w**3 + 103*w**2 - 13*w + 48. Give 8*i(u) + 13*l(u).
u**3 + 18*u**2 + 7
Let i(o) = 2*o**2 + 8. Suppose -4*u = -5*r - 43, -3*u = -39*r + 38*r - 24. Let v(k) = -6*k**2 - k - 25. Give u*i(s) + 2*v(s).
2*s**2 - 2*s + 6
Let b = -105 - -109. Let k(g) = -23 + 10 + g + 10 + b. Let p(a) = 3*a**2 + 2*a + 3. Give 2*k(n) - p(n).
-3*n**2 - 1
Let r(f) = -6. Let x(i) = -i**2 + 5. Let k be -5*2 - -8*63/36. Give k*r(h) + 5*x(h).
-5*h**2 + 1
Let v(s) be the first derivative of -s**2/2 + s - 20. Let i(n) be the third derivative of n**4/3 - 5*n**3/6 - 569*n**2. Determine -i(j) - 6*v(j).
-2*j - 1
Let v(u) = u - 1. Let a(l) = 1. Let b = 23 + 4. Let z = b - 24. Suppose -d = -4*d - z*i + 18, -d + 26 = 5*i. Give d*a(s) - 2*v(s).
-2*s + 3
Let u(w) = -290*w**2 + 35*w + 35. Let j be -13*10/(-130)*2. Let v(c) = 17*c**2 - 2*c - 2. Calculate j*u(i) + 35*v(i).
15*i**2
Let g(r) = 2*r - 3. Let h(n) = -788 + 1558 - 784 + 10*n. Suppose 0 = 3*d - 3*i + 98 + 1, -109 = 3*d - 5*i. Determine d*g(j) + 6*h(j).
4*j
Let y(k) = -7*k + 104. Let b(t) = 12*t - 211. What is -3*b(g) - 5*y(g)?
-g + 113
Let t(f) be the first derivative of f**4 - 3*f**2/2 - 3*f + 3. Let i(n) = -n**2 + 58 + 0*n + 3*n**3 - 2*n - 60. Determine 6*i(m) - 4*t(m).
2*m**3 - 6*m**2
Let m(k) = 28*k**3 + 5*k**2 + 38*k + 5. Let y(x) = 14*x**3 + 3*x**2 + 23*x + 3. Let i(c) = -3*m(c) + 5*y(c). Let n(t) = -t**3 + t. Calculate -i(a) + n(a).
13*a**3
Let w(c) = c + 1. Let l(u) = 5*u**2 - u - 4. Suppose -14 = -q - 21. Let m be ((-2)/(-1))/(q - -5). Calculate m*l(f) - 2*w(f).
-5*f**2 - f + 2
Let u(c) = 5*c - 3. Let v = -687 - -690. Let g(l) = l**3 - 8*l**2 + 7*l + 4. Let n be g(7). Let i(b) = 16 - n*b - 5*b - 11. Calculate v*i(y) + 5*u(y).
-2*y
Let a(d) be the third derivative of -d**6/15 + d**4/3 - 5*d**3/2 + 4*d**2 - 92*d. Let x(f) = 4*f**3 - 4*f + 8. Give 6*a(c) + 11*x(c).
-4*c**3 + 4*c - 2
Let d(m) = -701*m**2 + 8*m - 24. Let g(a) = 2*a**2 + a - 3. Calculate 5*d(v) - 40*g(v).
-3585*v**2
Let c(w) = w + 5. Let r(u) = 40*u + 3. Let q be r(-3). Let p be (-559)/q - 4/(-18). Let x(g) = -7528 + 3763 + 3768. What is p*x(y) - 3*c(y)?
-3*y
Let h(m) be the third derivative of -m**5/60 - m**3/6 - 2131*m**2. Let q(l) = 5*l**2 - 2*l + 1. Suppose -14*z + 20*z = -6. Determine z*q(x) - 3*h(x).
-2*x**2 + 2*x + 2
Suppose -4*s + 4 = -0*s. Let w(d) = 24*d - 1038. Let j(z) = 16*z - 649. Let o(b) = 8*j(b) - 5*w(b). Let k(t) = t - 1. Determine s*o(n) - 4*k(n).
4*n + 2
Let x(k) = -6*k + 938. Let l(w) = -3*w + 468. Calculate -13*l(z) + 6*x(z).
3*z - 456
Let c(m) = 167*m**2 + 100*m - 85*m - 338*m**2 - 15 + 156*m**2. Let q(d) = d - 1. Determine 3*c(s) - 45*q(s).
-45*s**2
Let x(l) be the third derivative of -l**4/24 + l**3/6 - 277*l**2. Let n = -52 - -51. Let c = 1 - 2. Let j(g) = -g - 4. Give c*j(o) + n*x(o).
2*o + 3
Let b(d) = 4*d**3 + 9*d**2 + 25*d + 32. Let j(a) = -6*a + 15434*a**3 + 8*a**2 - 10*a**2 - 8 - 30872*a**3 + 15437*a**3. Determine 2*b(k) + 9*j(k).
-k**3 - 4*k - 8
Let o(j) = j**2 - 1. Suppose 0 = 4*l + 65*z - 64*z + 2, -2*l = -3*z - 20. Let k(c) = -5*c**2 + 2*c + 1. Calculate l*k(u) + 4*o(u).
-u**2 + 2*u - 3
Let q = -15825 - -15836. Let p(z) = -8*z + 21. Let l(i) = 15*i - 43. Determine q*p(a) + 6*l(a).
2*a - 27
Let b(p) = -7*p**2 - 5*p - 1. Let t(j) = -2*j**2 - 6 + 5 - 3*j - 4*j**2 + 2*j**2. Let h be 1/(-17*5/(-425)). What is h*t(m) - 3*b(m)?
m**2 - 2
Suppose -90 = 866*s - 848*s. Let p(r) = -16*r - 5. Let h(l) = -15*l - 4. What is s*p(b) + 6*h(b)?
-10*b + 1
Suppose 15*h - 13*h + 6 = 0. Let r(s) = -5*s - 8. Let v(q) = 8*q + 7. Let l(u) = h*r(u) - 4*v(u). Let p(z) = -8*z - 2. Calculate 3*l(m) - 7*p(m).
5*m + 2
Let u(s) = -2*s**2 + 2*s - 4. Let w = 100 - 94. Let o(k) = 77 + 5*k - w*k - 74 + k**2 + 0*k. Let h = 14 - 10. Give h*o(z) + 3*u(z).
-2*z**2 + 2*z
Let l(c) = -386*c - 2703. Let w be l(-7). Let m(t) = -t + 1. Let k(n) = -14*n - 8. Give w*k(o) - 10*m(o).
24*o - 2
Let n(v) = 12*v**3 - 11*v**2 - 64*v + 7. Let t(h) = -6*h**3 + 5*h**2 + 30*h - 3. Calculate -3*n(x) - 7*t(x).
6*x**3 - 2*x**2 - 18*x
Let o(j) = -3*j - 4. Let f(k) = -299*k + 595*k + 1 - 295*k. Calculate -4*f(r) - o(r).
-r
Let p(n) = -56*n + 5. Let d(c) = 29*c - 3. Determine -13*d(l) - 6*p(l).
-41*l + 9
Let r = -210 - -209. Let s(v) = 42. Let q(a) = 8. Let c(u) = r*s(u) + 5*q(u). Let d(m) = -m**2 - 1. Calculate c(g) - 2*d(g).
2*g**2
Let r(d) = 29*d + 101. Let a(t) = 24*t + 110. Give -6*a(w) + 7*r(w).
59*w + 47
Let k(u) = 5*u + 2. Let w(b) = -2968*b - 530. What is -265*k(q) - w(q)?
1643*q
Let c(d) = 3655*d + 0 + 3 - 7304*d + 3647*d. Let r(m) = -3*m + 6. What is 5*c(x) - 3*r(x)?
-x - 3
Let n(k) = -7*k - 14*k + 73*k - 13*k - 40*k. Let c(i) = -6*i - 21. Give c(v) - 5*n(v).
-v - 21
Let c(j) = -2*j + 2. Let z(b) be the third derivative of b**4/4 - 7*b**3/6 - 3747*b**2. What is 11*c(s) + 4*z(s)?
2*s - 6
Suppose -3*w - 2*w - 1020 = 0. Let u = 207 + w. Let v(k) = 6*k + 4. Let l(h) = h + 1. Determine u*l(b) - v(b).
-3*b - 1
Let r(w) = 31*w**2 + 47*w + 90. Let f(o) = 10*o**2 + 15*o + 29. What is 13*f(c) - 4*r(c)?
6*c**2 + 7*c + 17
Let m(f) = -15*f**3 + 14*f**2 - 51*f - 7. Let h(l) = -2*l**3 + 2*l**2 - l - 1. Determine -21*h(w) + 3*m(w).
-3*w**3 - 132*w
Let l(y) = -12*y**3 - 8*y**2 + 3*y - 3. Let t(u) = 5*u**3 + 8*u**2 - 5*u + 4. Determine -3*l(h) - 2*t(h).
26*h**3 + 8*h**2 + h + 1
Let p(g) = 2*g. Suppose 5*r - 2*q - 18 = 0, 9*q - 3*q - 18 = -3*r. Let | {
"pile_set_name": "DM Mathematics"
} |
inder when r is divided by 1?
0
Let u = -24 + 8. Let m = 31 + u. Calculate the remainder when 27 is divided by m.
12
Let m = -69 - 2. Let f = -49 - m. Calculate the remainder when f is divided by 8.
6
Let s be 2 - (-1 + -1 + 0). Suppose i = s*i. Suppose i*d + 128 = 4*d. Calculate the remainder when d is divided by 11.
10
Calculate the remainder when ((-2)/3)/(1/(-60)) is divided by 11.
7
Let m = -85 - -191. Calculate the remainder when m is divided by 36.
34
Suppose 5*j - q - 72 = 0, 4*j = -4*q + 10 + 38. Calculate the remainder when 26 is divided by j.
12
What is the remainder when ((356/(-3))/2)/((-14)/21) is divided by 10?
9
Let c(y) = y**2 + y - 3. Let k be c(-3). Suppose -k*w + 182 = -3*a + 41, -w = -2*a - 51. What is the remainder when w is divided by 22?
21
Suppose 0 = -3*s + s. Suppose s = -p - 0*p + 17. What is the remainder when 33 is divided by p?
16
Suppose 5*t = 6 - 21. Let n(j) = j**3 + 3*j**2 - 4*j - 4. Suppose 4*q = 3*b - 110, 4*b - 2*q = 2*q + 140. What is the remainder when b is divided by n(t)?
6
What is the remainder when 32 is divided by 1 + -2 + 0 + 12?
10
Suppose 2*k - 69 = 91. Calculate the remainder when k is divided by 27.
26
Let y = 46 + -19. Suppose -4*l + 12*l = 112. Calculate the remainder when y is divided by l.
13
Let d(b) = -6*b + 4. Let a(r) = r + 6. Calculate the remainder when d(-5) is divided by a(6).
10
Let l = 92 - 34. What is the remainder when l is divided by 15?
13
Suppose 3*y + 42 = 2*v, y + 5 = -2*v + 47. Calculate the remainder when v is divided by 12.
9
Suppose -2*u + 84 = -4*c, -4*u = -u + 4*c - 76. Let r = 3 + u. What is the remainder when r is divided by 13?
9
Let x = -17 - -4. Let q = x + 29. Let t = q - -7. What is the remainder when t is divided by 8?
7
Calculate the remainder when 62 is divided by 90/(-18) - 58/(-2).
14
Suppose 0 = -2*q - 3*q + 100. Calculate the remainder when (-513)/18*(-2 - (2 - 2)) is divided by q.
17
Suppose 7*k - 3*k + 211 = f, 51 = -k + 2*f. Let y = -16 - k. Suppose 0 = -10*t - 43 + 173. Calculate the remainder when y is divided by t.
11
Let d be (162/36)/(1/2). Let a = d + -2. What is the remainder when 20 is divided by a?
6
Calculate the remainder when 30/1 + -3 + 6 is divided by 12.
9
Suppose 2*v - 286 = -0*v - 2*a, -3*a + 291 = 2*v. What is the remainder when v is divided by 35?
33
Calculate the remainder when 104 is divided by (-56)/(-3) - (-4)/(-6).
14
Let u = 40 - 19. Suppose 2*p = 53 - u. What is the remainder when 61 is divided by p?
13
Suppose 2*w + 2*q - 32 = w, 3*w - 120 = 2*q. Let c = 36 + -18. Suppose c = n + 5*b - 10*b, -2*n = 2*b - 24. What is the remainder when w is divided by n?
12
Suppose 78 = 11*v - 131. What is the remainder when 72 is divided by v?
15
What is the remainder when (3/((-9)/(-6)))/(3/54) is divided by 8?
4
Let w = 86 + -38. Calculate the remainder when 15 is divided by (3/2)/(9/w).
7
Suppose 6 = 5*t - 14. Let f(u) = -4*u**2 + 5*u - 3. Let p be f(t). Calculate the remainder when p/(-3) - (-1)/3 is divided by 9.
7
Let f = 9 - 7. Suppose 5*x + f*v = 204, 2*x + 3*x + 5*v = 210. Calculate the remainder when x is divided by 2/(-3) - 44/(-3).
12
Let j(t) = -6*t + 8. Let v(f) = -3*f + 4. Let c(s) = -2*j(s) + 5*v(s). Calculate the remainder when c(-4) is divided by 9.
7
Let y = -17 - -19. Calculate the remainder when 7 is divided by y.
1
Suppose -2*t + 333 = 2*m - t, -2*m + 2*t = -324. Suppose 5*q + 2*y = m, 0 = -y + 6*y. What is the remainder when q is divided by 9?
6
Suppose 4*o - 6 = 5*r, 2*r + 4*o = 5*r + 10. What is the remainder when 6 is divided by r?
0
Suppose 3*r + 6 = 42. What is the remainder when 3 + (5 - 3 - 3) + 19 is divided by r?
9
Let o(h) = h**2 + 4*h + 15. Let n be o(-6). Calculate the remainder when (29/3)/(9/n) is divided by 16.
13
Let s(d) = -56*d**3 + 35*d - 35*d. Suppose 27 = 2*b - 11. Calculate the remainder when s(-1) is divided by b.
18
Let p = -4 - -7. Suppose 0*b + p*y = -3*b + 24, 0 = -3*y - 9. What is the remainder when 21 is divided by b?
10
Suppose 2*a - 4 + 2 = 0. Let d = a + 7. Calculate the remainder when 22 is divided by d.
6
Let u be -1 - (-13 - (1 + -2)). Let o = -5 + u. What is the remainder when 22 is divided by o?
4
Suppose -2*w + 6*w = 120. Let l = w - 10. Calculate the remainder when l is divided by 11.
9
Suppose 59 = 4*h + 19. What is the remainder when h is divided by 3?
1
Suppose -2*t + 14 = -12. Calculate the remainder when 24 is divided by t.
11
Let g(l) = l - 1. Let m be g(-3). Let b be (-1 - m*1) + 0. Suppose -j + 11 = n - 4*j, -3*j - 21 = -b*n. What is the remainder when 14 is divided by n?
4
Suppose -2*u = -4*u. Suppose u = -0*i + i - 5*s - 34, -4*i - 2*s + 48 = 0. Let o = 92 + -51. What is the remainder when o is divided by i?
13
Calculate the remainder when (-12)/(-8)*(-4)/(-2) is divided by 3.
0
What is the remainder when ((-12)/(-4) - 29)/(-2) + -3 is divided by 6?
4
Suppose 5*x + 5*m - 45 = 0, -3*m - 15 - 3 = -2*x. Let t = -13 - -48. Let u = 52 - t. What is the remainder when u is divided by x?
8
Let q = -333 - -570. What is the remainder when q is divided by 60?
57
Suppose g - 4*x = 24 + 8, 5*g - 68 = -3*x. Let o = 8 + -4. Suppose -5*r = -o*r - 31. What is the remainder when r is divided by g?
15
Suppose -r - p + 114 = 0, p + p + 332 = 3*r. What is the remainder when r is divided by 23?
20
Let w(x) = 5*x - 29. What is the remainder when w(8) is divided by 8?
3
Let h(b) = 2*b**2 + 4*b - 31. What is the remainder when h(-9) is divided by 9?
5
Suppose -2 - 4 = -2*m. Suppose i + 5*u = 18 - 4, 24 = i + m*u. What is the remainder when i is divided by 14?
11
Let f(g) = -2*g + 7. Suppose 4*x + 30 = -x. Calculate the remainder when f(x) is divided by 11.
8
Let j(p) = 2 - 4*p + 4 - 4. Let k(v) = v**2 - v - 2. Calculate the remainder when j(-4) is divided by k(-3).
8
Let g(k) = -8*k + 1. Let j = -138 + 81. Let q = j - -107. Calculate the remainder when q is divided by g(-2).
16
Suppose 3*h = 2 + 19. Let t be (-34)/4 - (-2)/4. What is the remainder when h is divided by ((-6)/4)/(3/t)?
3
Let l = 14 - 11. Let c(x) = 8*x - 6. Calculate the remainder when 52 is divided by c(l).
16
Suppose -506 = 6*g - 17*g. What is the remainder when g is divided by 25?
21
Suppose -z - 3*o = -3*z + 35, -79 = -5*z - o. Calculate the remainder when 46 is divided by z.
14
Let u = 4 + -4. Suppose u = 5*o - 53 - 57. What is the remainder when o is divided by 8?
6
Let o = 250 - 247. Let q = 1 - -4. Calculate the remainder when q is divided by o.
2
Let a(t) = -3*t + 1. Let n be a(-2). Let g = 19 + n. Calculate the remainder when g is divided by 14.
12
Suppose 67*s + 275 = 72*s. Suppose 0 = -2*z - z + 42. What is the remainder when s is divided by z?
13
Let o(q) = 2*q**3 - 5*q + 2. Let m be o(3). Suppose -3*y + m = -7. What is the remainder when 46 is divided by y?
14
Let r(i) = -23*i + 13. What is the remainder when r(-3) is divided by 21?
19
Suppose 2*h + h = 0. Suppose -4*b + 212 = -4*v, 5*b + h*b = -4*v + 247. Calculate the remainder when b is divided by 13.
12
Let d(z) = -z**3 + 3*z**2 - 2*z + 3. Let s be d(2). Suppose s*n - 60 + 9 = 0. Calculate the remainder when n is divided by 6.
5
Let l be 4/(-14) + 3384/84. Let b = 2 + 0. Suppose 6*q = b*q + l. What is the remainder when q is divided by 6?
4
Let j(f) = f + 6. Let m(l) = 2*l + 11. Let c(o) = -7*j(o) + 4*m(o). Let u be c(-5). What is the remainder when (-1)/u + (-160)/(-15) is divided by 4?
3
Let y be 2/(-4) - (-55)/10. Let t be (-1)/(-1)*y + -3. Suppose 0*l - 3*l + g + 92 = 0, t*g + 10 = 0. Calculate the remainder when l is divided by 10.
9
Let s = 19 - 16. Calculate the remainder when 6 is divided by s.
0
Let a = 7 + 8. Calculate the remainder when 28 is divided by a.
13
Suppose 38 + 43 = 9*f. Calculate the remainder when f is divided by 4.
1
Let c be ((-2)/(-3))/((-1)/18). Let j = 23 + c. Calculate the remainder when 20 is divided by j.
9
Suppose -4*r + 2*p + 29 = r, -3*r + 5*p = -6. Calculate the remainder when r is divided by 2.
1
Let p be -3*(2 + -3 + -1). Let t = 16 - p. Let v(c) = -2*c - 6. What is the remainder when t is divided by v(-6)?
4
Suppose 0*u - 5*u = -10. Suppose u*x + 4*a = -2, 4*x = 5*a + 28 + 20. Calculate the remainder when x is divided by 3.
1
Let k(d) = -3*d + 4. What is the remainder when k(-3) is divided by 1 + 6 - 10/5?
3
What is the | {
"pile_set_name": "DM Mathematics"
} |
be 2 - (n - (-1 - 2)). Suppose 1318 = p*f + 558. List the prime factors of f.
2, 5, 19
Let i(n) = 54*n - 21. Let a(u) = u**2 - 4*u - 1. Let v be a(5). Suppose 0 = -v*s + 9 - 1. What are the prime factors of i(s)?
3, 29
Suppose 0 = -51*u + 339371 - 88400. What are the prime factors of u?
7, 19, 37
Let b = -108 + 110. Let p = 1 - -3. Suppose v + b*x - 78 = 0, -v - 4*v + 376 = -p*x. List the prime factors of v.
2, 19
Let r = -17 - -17. Suppose -32*n + 34*n - 16 = r. List the prime factors of (-2)/n + 388/16.
2, 3
Suppose 3*j = 4*x - 4426, -13*j - 4428 = -4*x - 9*j. Let w = -643 + x. What are the prime factors of w?
2, 3, 7, 11
Let k(l) = 7443*l**2 + 4*l + 8. Let p be k(-3). Suppose 70*r = 147 + p. What are the prime factors of r?
7, 137
Suppose 2*o + 4*i = 5*i + 40089, -2*i + 2 = 0. List the prime factors of o.
5, 19, 211
Let a(r) = -9*r - 9*r**2 + 27*r**3 + 21*r**3 - 8 - 50*r**3 + 0. Let j be a(-7). Suppose l = 7*l - j. List the prime factors of l.
2, 5
Let k(h) = 2*h**2 - 37*h + 87. Let w be k(15). What are the prime factors of (w/4*2)/((-28)/308)?
3, 11
Let b(k) = -6*k**2 + 6*k + 7092. List the prime factors of b(0).
2, 3, 197
Suppose 0*z + 3*z - 235 = -4*u, 4*u = -5*z + 237. Suppose 0 = u*r - 66*r + 7120. List the prime factors of r.
2, 5, 89
Let u(g) = -g**3 - 4*g**2 - 2*g - 3. Let c be u(-4). Let v be 4/20*28*c. Suppose 4*k + v = 8*k. What are the prime factors of k?
7
Let z(c) = 5004*c**2 - 48*c - 151. What are the prime factors of z(-3)?
37, 1217
Let q = -24 + 24. Suppose -j = 2*a, 2*a + q*a + 4*j = 0. Suppose 0 = 5*x - v - 3*v - 255, 2*x - 3*v - 109 = a. List the prime factors of x.
47
Let k(r) be the third derivative of r**4/24 - 7*r**3/6 + 19*r**2. Let g be k(9). Let m(o) = 35*o + 1. What are the prime factors of m(g)?
71
Let x = -58 - -67. Let k = x - 4. Suppose -170 - 405 = -k*o. List the prime factors of o.
5, 23
Let z = -24 - 6. Let q(i) = 2*i - 1. Let v(f) = -f**2 - 26*f + 47. Let r(c) = -3*q(c) - v(c). What are the prime factors of r(z)?
2
Suppose -5*t + 8 = -o, 6*t = 2*t + 3*o + 13. What are the prime factors of (2/t - (8 + -4)) + 27?
5
Let b(o) = 8*o**3 + 2*o**2 + 13*o + 2. Let w(p) = -2*p**3 + p**2 - 2*p - 1. Let z(n) = b(n) + 6*w(n). What are the prime factors of z(-3)?
173
Suppose 0 = 6*d + 169 - 139. Let i(g) = -2*g**3 + 6*g**2 - 21*g - 19. List the prime factors of i(d).
2, 3
Let a(p) = -p**3 - 22*p**2 + 23*p + 4. Let g be a(-23). Suppose 500 + 532 = 4*y - 2*x, 3*x = -g*y + 1052. List the prime factors of y.
2, 5, 13
Let b = 67965 - 43795. List the prime factors of b.
2, 5, 2417
Suppose 0*p + 16 = 2*f - 2*p, -30 = -4*f + 2*p. What are the prime factors of ((-40)/f)/((-2)/413)?
2, 5, 59
Suppose 3*t + 18*o - 1990 = 17*o, -3*t + 2*o = -1996. What are the prime factors of t?
2, 83
Let k be (-733)/((-2)/12*3). Suppose -5*s + 1114 + k = 0. Suppose -s = -21*z + 18*z. What are the prime factors of z?
2, 43
What are the prime factors of (572/(-6))/(-11 + (-9919)/(-903))?
11, 13, 43
Let z = -3381 + 6200. Suppose 11*v - z = 2945. What are the prime factors of v?
2, 131
Let r be 20/(-25) - (-734)/5. Let z = r - -66. List the prime factors of z.
2, 53
Let l = -12429 + 23825. What are the prime factors of l?
2, 7, 11, 37
Suppose 72*j - 99412 = 14*j. List the prime factors of j.
2, 857
Suppose 17*h + 46*h - 241605 = 0. What are the prime factors of h?
5, 13, 59
Let s(n) = 5848*n**2 - n + 3. List the prime factors of s(-1).
2, 7, 11, 19
Suppose 9*z = -1040 - 8509. Let s = -637 - z. What are the prime factors of s?
2, 53
Let r(f) = 29*f**2 - 6*f + 5. Let o be (6 - (9 + 1))/(-2). List the prime factors of r(o).
109
Let t(b) = -624*b - 9375. What are the prime factors of t(-103)?
3, 29, 631
Let b(f) = 8*f**2 + 23*f - 17. Let g be b(7). Suppose 4*w + 0*w = g. What are the prime factors of ((-24)/(-16))/(3/w)?
67
Suppose -91*q + 94*q = 4*m - 17714, 5*m = 3*q + 22147. What are the prime factors of m?
11, 13, 31
Suppose 0 = 13*v + 38 - 38. Suppose -26*s + 34*s - 9232 = v. What are the prime factors of s?
2, 577
Let z = 28267 + 3110. What are the prime factors of z?
3, 10459
Let u(g) = g**2 + 1. Let k(i) = 46*i**2 + 9*i. Let l(j) = k(j) - 5*u(j). What are the prime factors of l(6)?
5, 61
Let z = 1419 + -600. Suppose -4*d + 2575 - z = 0. List the prime factors of d.
439
Suppose -3*k + k + 46 = 5*p, -p - 3*k = -4. Suppose 0 = -2*o + 3*j + 10, -2*j = 3*j + p. Suppose -4*a + o*a + 94 = 0. List the prime factors of a.
47
Let d(r) = 208*r**2 + 220*r + 35. What are the prime factors of d(-8)?
11587
Let y = -11646 + 19998. List the prime factors of y.
2, 3, 29
List the prime factors of (-1982035)/(-40) - (2/6 + (-506)/1104).
3, 83, 199
What are the prime factors of (54567/36)/(129/172)?
43, 47
Let p = -13 - -7. Let f(c) = c**2 - c + 1. Let b be f(2). What are the prime factors of p*b*(244/(-24) - -3)?
3, 43
Suppose 0 = 90*f + 1817420 - 4905500. What are the prime factors of f?
2, 4289
Let v(f) = -35*f + 5. Let b = -216 + 212. List the prime factors of v(b).
5, 29
Let h(q) = 13*q - 3. Let b(i) = 26*i - 5. Let s(r) = 4*b(r) - 7*h(r). Let m be s(8). List the prime factors of 6/(-2) + m - 1.
101
Suppose 2*w - 6900 = -2*k, k + 3*w - 13798 = -3*k. List the prime factors of k.
2, 431
What are the prime factors of 0/3 - (-9 + -102106)/5?
13, 1571
Let k be (-6)/42 + (6996/21 - 3). Suppose -c = -k + 47. What are the prime factors of c?
283
Let p(x) = -x**3 + 15*x**2 + 23*x - 29. Let c be p(16). Let k = c - 81. Suppose 4*r - 12 = -2*l + 196, k*l - 232 = 2*r. List the prime factors of l.
2, 7
Let r = -117 + 127. Suppose -6*y + r*y = 916. What are the prime factors of y?
229
Let d = 192 + -321. Let g = -126 - d. Suppose -3*k + 6*k - 489 = -g*i, -3*i - 3 = 0. What are the prime factors of k?
2, 41
Suppose -452185 = 30*s - 1217908 - 815667. List the prime factors of s.
3, 5857
Suppose -8*y + 18*y = 2240. Let z = 196 + y. What are the prime factors of z?
2, 3, 5, 7
Suppose -5*l + 1715 = 2*d, -2*d - 3*l + 353 = -1368. Suppose -1615 = -8*i + d. What are the prime factors of i?
2, 5, 31
Let o = 2745 - 2022. What are the prime factors of o?
3, 241
Suppose -88 = -18*z + 51428. List the prime factors of (-5)/((-30)/z) + -4.
11, 43
List the prime factors of (1 + -11)*(-33)/(-110)*25609/(-3).
25609
Let u(l) = 3823*l**2 + 483*l + 967. List the prime factors of u(-2).
41, 373
Let o(s) = -2746*s + 396. What are the prime factors of o(-2)?
2, 23
Suppose -2*l - 4 - 14 = 0. Let o(s) = -s**3 + 54*s**2 - 51*s - 220. Let j be o(53). What are the prime factors of (-3)/l*(0 - j)?
2, 19
What are the prime factors of 182/2*49248/168?
2, 3, 13, 19
Let z be -8 + 4 - -3 - (-1 + 0). Suppose z = -3*j + 5*w + 2342, 0 = -0*j + 3*j + 4*w - 2306. Suppose 661 = 7*y - j. What are the prime factors of y?
5, 41
Let p(f) = 3*f**3 + 55*f**2 - 27*f + 28. What are the prime factors of p(-18)?
2, 419
Suppose -5*w - 146058 = -r, -4*w + r = -4*r + 116859. List the prime factors of w/26*(-6)/9.
7, 107
Let l = -106 - -205. Suppose 4*p = y - 2*y - 438, p + l = 5*y. List the prime factors of 2 - (-3 + 4)*1*p.
3, 37
List the prime factors of ((-21)/2)/(44/(-76912)).
2, 3, 7, 19, 23
Let t = -156 + 161. Suppose -5*d + 226 = -t*a - 689, -2*d + 363 = -3*a. What are the prime factors of d?
2, 3, 31
Let a(v) = v**3 + 30*v**2 + 31*v + 62. Let l be a(-29). Suppose 1489 - 3649 = -l*p. What are the prime factors of p?
2, 3, 5
Suppose 58*v - 162 = 67*v. List the prime factors of (57/9)/((-2)/v).
3, 19
Suppose 0 = 4*k + 20, -k = -5*g - 2*k + 265. Let y = g - -24. Suppose -b = b - y. What are the prime factors of b?
3, 13
Let u(p) = 937*p - 1171. What are the prime factors of u(8)?
5, 11, 23
Let k be (-8 - 0) + 11 + 2*172. Let z = 819 - k. List the prime factors of z.
2, 59
Let n(k) = -k**3 - 12*k**2 + 14*k - 19. Let v = 45 + -59. Let r be n(v). Suppose -3*s + r + 201 = 0. What are the prime factors of s?
2, 3, 7
Suppose 245582*h - 245559*h - 376303 = 0. What are the prime factors of h?
16361
Suppose -4*u + 5 = -b - 9*u, 3*u - 14 = -4*b. Let l = -1 + 6. Suppose -310 = -l*m + i, b*m = 2*i + 174 + 141. List the prime factors of m.
61
List the prime factors of (-3)/15 + (-5 - -9 - 3802/(-10)).
2, 3
Let i(z) = 20*z**2 + 2*z + 95. What are the prime factors of i(26)?
79, 173
Let h(d) = -18*d + 92. Let y be h(-32). Suppose -r = | {
"pile_set_name": "DM Mathematics"
} |
29
Suppose -24 = 2*q - 4*q. Calculate the remainder when 35 is divided by q.
11
Let g(r) = -13*r**2 + 4*r - 3. Let t be g(2). Let l = t - -78. Let x = l + -17. What is the remainder when x is divided by 5?
4
Suppose 8*v - 46 = 138. Calculate the remainder when 43 is divided by v.
20
Let l(q) = q**3 - 4*q**2 + 2. Let m be l(4). Suppose -3*d - 22 = -2*d + 5*y, m*d - 5*y - 31 = 0. Calculate the remainder when 3 is divided by d.
0
Let p = -4 - -7. Let a(i) = 2*i**2 + 3*i - 2. Calculate the remainder when a(p) is divided by (2 - (2 - 1))*13.
12
Let m(c) be the third derivative of c**4/24 + 4*c**3/3 + c**2. Suppose -11 + 104 = 3*y. Calculate the remainder when y is divided by m(0).
7
Let f = 59 - 18. Suppose 3*d + d - 5*i = f, -4*i - 16 = d. Suppose -19 = y - d*y + 4*g, -4*y - 3*g = -42. Calculate the remainder when y is divided by 3.
0
Let k(m) = m**2 + m + 3. Let t be k(0). What is the remainder when (-7)/(24/9 - t) is divided by 1 + 1 + (9 - 0)?
10
Suppose -s - 2*s = -15. Suppose t + 2 = s. Calculate the remainder when 1 + (1 - -1) - -2 is divided by t.
2
Suppose -3*v - l + 96 = 0, 0*v - 4*v = -4*l - 112. Suppose -2*o + 87 = q, -4*q = 3*o - 52 - 76. Calculate the remainder when v is divided by (0 - -1)/(4/o).
9
Suppose -3*u + 16 - 142 = 0. Calculate the remainder when 21 is divided by 12/16 + u/(-8).
3
Let i(w) = -2*w + 12. Let d be i(0). Let s(f) = -2*f - 4 + 0*f + 3*f. What is the remainder when 31 is divided by s(d)?
7
Let m(n) = -n**3 - n**2 + 4. Let y(t) = -t + 7. What is the remainder when m(-4) is divided by y(-11)?
16
Suppose 0 = -2*v - 2*r + 186, 6*v - v - 500 = 2*r. Calculate the remainder when v is divided by 20.
18
Let x = -54 + 76. Calculate the remainder when 43 is divided by x.
21
Let g = -86 - -150. Calculate the remainder when g is divided by 13.
12
Let k = -92 + 108. Calculate the remainder when k is divided by 15.
1
Let x(y) = -y**2 - 15*y + 4. Calculate the remainder when x(-12) is divided by 22.
18
Suppose 0 = -5*w - 2*g + 22, 4*g = 5*w - g - 15. Suppose -w*f + 6 = -2. Calculate the remainder when 8 is divided by f.
0
Let k(w) = -3 + 2*w + 0*w + 3 - 1. What is the remainder when k(6) is divided by 7?
4
Let r(f) = 4*f - 4. Let a be r(5). Let b = -9 + a. What is the remainder when 18 is divided by b?
4
Suppose 3*r - 54 = -12. Let q(u) be the third derivative of u**5/60 - u**4/6 - 7*u**3/6 - 2*u**2. What is the remainder when r is divided by q(6)?
4
Suppose 3*o = 6*o + 6. What is the remainder when (o/(-6))/(1/42) is divided by 4?
2
Suppose 172*h = 169*h + 48. What is the remainder when 26 is divided by h?
10
Let x(g) = 3*g**2 + 4*g. Let c be x(-3). Let j = c - 8. Calculate the remainder when 18 is divided by j.
4
Suppose u - 7 = 4. What is the remainder when 30 is divided by u?
8
Suppose -4*l + 3*h + 99 = 0, -1 - 24 = 5*h. Calculate the remainder when 60 is divided by l.
18
Suppose -2*u + 2*i + i = -23, 4*i + 16 = -u. What is the remainder when 14 is divided by u?
2
Let r be -2 + (1 - 0) + 7. Let y(u) = 20*u - 4. Let g be y(r). Let x = g + -81. Calculate the remainder when x is divided by 12.
11
Let g(n) = 8*n**3 + 2*n - 1. Let s be g(1). Let x = s - 4. Suppose 3*o = 2*m - 19 - 7, -77 = -3*m - x*o. What is the remainder when 56 is divided by m?
18
Let j(i) = -i**3 + 6*i**2 - i + 6. Let k be j(6). Let x(l) = -l + 11. Calculate the remainder when 32 is divided by x(k).
10
Let j = 18 - 7. What is the remainder when 42 is divided by j?
9
Let x(h) = 79*h**3 - 1. Let y be x(1). Suppose 3*j - y = 2*j. Calculate the remainder when 55 is divided by j/4 - (-1)/(-2).
17
Calculate the remainder when 50 is divided by (-17)/(-3)*-1*-3.
16
Suppose 274 = 3*r - 65. Calculate the remainder when r is divided by 23.
21
Let b = -29 - -70. Let x = 30 - 15. What is the remainder when b is divided by x?
11
Let o be (-2)/(5/((-90)/(-4))). What is the remainder when 32 is divided by (66/o)/((-2)/3)?
10
Let d = 38 - 18. Suppose y - d = -2*z, -3*y - 3*z + 0*z + 45 = 0. What is the remainder when 19 is divided by y?
9
Let q = -5 + 12. Suppose -2*y = -4, f + 51 = 2*f - y. Suppose 44 - 14 = 2*m - i, 0 = 5*m + 3*i - f. What is the remainder when m is divided by q?
6
Suppose 4 = 3*o + 25. Let x(m) = -m**3 - 5*m**2 + 9*m - 7. What is the remainder when 83 is divided by x(o)?
27
Let z = -5 - -5. Suppose z = u - 6*u + 45. Suppose 0 = 5*d + 10, -3*k + u + 23 = -d. What is the remainder when 29 is divided by k?
9
Suppose 3*f - 25 = 149. Calculate the remainder when f is divided by 20.
18
Let q = 96 + -68. What is the remainder when 82 is divided by q?
26
Let v = -72 + 215. Suppose 4*o - v = -4*m - m, 102 = 3*o + 2*m. Calculate the remainder when o is divided by 11.
10
Let u = -19 + 87. What is the remainder when u is divided by 14?
12
Let g(d) = 24*d**3 + 2*d - 1. Let v(s) = 3*s**2 + s - 1. Suppose -10 = -2*k - 3*k. What is the remainder when g(1) is divided by v(k)?
12
Let w = 4 - 4. Suppose w = -2*v + 63 + 15. What is the remainder when v is divided by 14?
11
Let j = -14 + 17. Calculate the remainder when 13 is divided by 13/2 + j/6.
6
Let d(f) = -f + 5. Let p(y) = -6*y**3 - y**2 + 1. Let x be p(1). What is the remainder when d(x) is divided by 6?
5
Let s(w) = -7*w**3 + w**2. Let b be s(-1). Let f(c) = 2*c + 10. What is the remainder when f(b) is divided by 9?
8
Let h(j) = -8 - 1 - 4*j + 3. Let n = 46 - 50. Calculate the remainder when h(n) is divided by 4.
2
Suppose -5 = f + 4*f, 5*f + 55 = 5*u. Suppose 3*n + 4*p = 94, -u = -4*n + 4*p + 78. Suppose 8 - n = -3*w. Calculate the remainder when 11 is divided by w.
5
Let f(h) = 8*h**3 - h**2 + 2*h - 1. What is the remainder when 31 is divided by f(1)?
7
Let v be (5 - -1)*2/(-3). Let b be v*(-3)/6 + -2. Suppose b*n = -n + 7. Calculate the remainder when 13 is divided by n.
6
Let t = 61 - 22. What is the remainder when t is divided by 14?
11
Let k = 10 - 6. Suppose -4*j - 3*y + 33 = 0, 2*y = -k*j + 5*y + 39. Calculate the remainder when 25 is divided by j.
7
Suppose 3*z = 113 + 58. Calculate the remainder when 166 is divided by z.
52
Suppose 0 = 11*i - 8*i - 93. Calculate the remainder when i is divided by (-3 + 4/(-4))*-2.
7
Let o be 572/16 + (-2)/(-8). Let d = o + -21. What is the remainder when 72 is divided by d?
12
What is the remainder when 27 is divided by 3*(-160)/(-45)*(-3)/(-2)?
11
Let q = -41 - -69. What is the remainder when q is divided by 10?
8
Let b(o) = -2*o - 6. What is the remainder when 51 is divided by b(-12)?
15
Let n(h) be the third derivative of h**6/120 + h**5/15 + h**4/24 + 2*h**3/3 + 4*h**2. What is the remainder when 17 is divided by n(-3)?
7
Suppose 12 + 11 = w. What is the remainder when 91 is divided by w?
22
What is the remainder when 5*(1 + 4/5) is divided by 2?
1
Suppose 0 = 2*i - i - 29. Calculate the remainder when i is divided by 10.
9
Suppose 2*j + 3*q = 7*j + 37, -q = -2*j - 15. Let o(z) = z**3 - 3*z**2 + 5*z - 5. Calculate the remainder when o(4) is divided by ((-176)/j)/(2*1).
9
Let h = 8 - 1. What is the remainder when 32 is divided by h?
4
Let w = -44 - -73. Calculate the remainder when w is divided by -3*1*(1 + -6).
14
Suppose -21 = -t - 0*t + 3*p, -10 = 2*p. Suppose s - 10 = 3*s. Let j = 11 - s. What is the remainder when j is divided by t?
4
Suppose -1 = 3*l - 7. Suppose -5*u = -l*n + 37, -5*n - 4*u + 19 = -24. Suppose -4*x = 3*x - 28. What is the remainder when n is divided by x?
3
Let g(s) = -s**2 - 5*s + 3. Let k be g(-6). Let l = k + 8. Let a = -9 + 23. Calculate the remainder when a is divided by l.
4
Let h(l) be the first derivative of l**3/3 - 2*l**2 + 4*l - 1. Let n(a) = -a**3 + a**2 - a + 13. Calculate the remainder when h(-5) is divided by n(0).
10
Let h be 1/(1/1*1). Let i(k) be the second derivative of 4*k**5/5 + k**4/12 + 4*k. What is the remainder when i(h) is divided by 9?
8
Let l = -8 - -16. What is the remainder when 30 is divided by l?
6
Let l(w) = 3*w + 1. Calculate the remainder when 24 is divided by l(4).
11
Suppose 7*s - 51 = 4*s. What is the remainder when s is divided by 5?
2
Suppose 3*c - 2 = 2*h - 4, 4 = 5*c + 4*h. Let f = -46 + 65. What is the remainder when f is divided by 5 - -5 - c/(-1)?
9
Let n = -787 - -808. Calculate the remainder when n is divided by (11/4)/(2/8).
10
Let c be -9*-1*(0 + -1). Let i be c/(3/(-21) + 0). Let o = i + -38. C | {
"pile_set_name": "DM Mathematics"
} |
t is the units digit of a(7)?
2
Let u(j) = -j**3 + 10*j**2 - 8*j - 7. Let c = -12 + 21. Let w be u(c). Suppose 0 = 5*h + w*k - 16 - 34, 5*h - 45 = -k. What is the units digit of h?
8
Suppose -431 = 4*x - 1179. What is the units digit of x?
7
Let g = 0 + 14. What is the tens digit of 246/21 + 4/g?
1
Let c(r) = -r**2 - 10*r - 12. Let x be c(-8). Suppose 0 = -4*y - 2*b - 20 - 4, -x*y - 3*b - 28 = 0. Let i = y + 7. What is the units digit of i?
3
Let q(k) be the first derivative of k**4/4 - 10*k**3/3 - 5*k**2 + 2*k - 4. What is the tens digit of q(11)?
1
Suppose 2*y - 123 = 3*q, 4*q = -y + q + 75. What is the units digit of y?
6
Suppose -4*g + 5*x - 122 = -430, 2*x - 8 = 0. What is the units digit of g?
2
Let k(t) = -18 + t + 18. What is the units digit of k(10)?
0
Suppose 0 = -4*b + 4*y + 30 + 130, 4*y = 3*b - 116. Suppose r + 3*r = b. What is the tens digit of r?
1
Let l(r) = r**3 + 2*r**2 + r. Let x be l(-1). Let o = 2 - x. Suppose 4*h - 5*m = -10*m + 7, -11 = -o*h - m. What is the units digit of h?
8
Suppose 3 = x - 47. Let n be x/8*(5 - 1). Let l = -15 + n. What is the tens digit of l?
1
Let x = -2 - 1. Let t = x - -9. What is the units digit of t?
6
Suppose r - 454 = -3*p - 151, 3*r = -p + 101. What is the hundreds digit of p?
1
Let v(g) = g**2 + g - 8. Let t be v(6). Let j = 47 - t. What is the tens digit of j?
1
Suppose -1 = -q - 12. Let p = -5 - q. What is the units digit of p?
6
Suppose 2*u - 2 = 8. Suppose u*t = 50 + 5. What is the units digit of t?
1
Let d be 23*-3*1/(-3). Suppose 0 = -4*v - y + 101, 4*v - d = -2*y + 83. What is the tens digit of v?
2
Suppose -5*a + 35 = -5*t, 5*a + 0*t - 4*t - 34 = 0. What is the units digit of a?
6
Let t be 1/((-102)/104 - -1). Let s = -27 + t. What is the tens digit of s?
2
Suppose -5*i + 15 = 3*s, 3*i + i - 5*s - 49 = 0. Suppose -i = -c + 7. What is the tens digit of c?
1
Suppose -5*k = -315 + 50. Suppose -b - 2*b = 0. Suppose b = 4*y + 5 - k. What is the tens digit of y?
1
Let q(x) = 195*x**2 - x. What is the units digit of q(-1)?
6
Suppose 4*w = 4*p - w - 145, 0 = -3*w - 15. What is the tens digit of p?
3
Let a be ((-2)/(-3))/((-9)/27). What is the units digit of 93/6*-1*a?
1
Let z = -3 - -6. Suppose -p + z*p + 2*h = 2, 4*h - 2 = -3*p. Suppose -3*x = p*x - 60. What is the units digit of x?
2
Suppose 4*q = 6*q + 40. Let n = q + 33. What is the tens digit of n?
1
Suppose -2*h + 5*i = -143, -5*h + 126 + 217 = 2*i. What is the units digit of h?
9
Let i(b) be the first derivative of -3*b**4/4 + b**2/2 - 2. What is the units digit of i(-1)?
2
Suppose 3*y = -9*y + 768. What is the tens digit of y?
6
Let f = 11 + -11. Let q(y) = -y + 32. What is the tens digit of q(f)?
3
Let p = -14 - -31. Let c = -12 + p. Suppose -5*j + h = -85, c*h = -0*h. What is the tens digit of j?
1
Let m be ((-27)/6)/(9/(-24)). Suppose s - m = y, -3*s - s + 5*y = -50. What is the units digit of s?
0
Let c be (64 - 2) + (2 - 1). Suppose -4*b + 13 + c = 0. Suppose -29 - b = -4*j. What is the units digit of j?
2
Let r(f) = -f**3 - 10*f**2 - 9*f + 6. Let p(s) = -4*s + 3. Let w be p(3). What is the units digit of r(w)?
6
Let o be 12*(3 + 20/(-8)). Let q(m) be the first derivative of m**2 - 8*m - 1. What is the units digit of q(o)?
4
Suppose -12 = -3*t - 0. Suppose -4*v + 2*v = -t*c - 68, 2*c - 134 = -3*v. What is the tens digit of v?
4
Let t(j) = -j**2 + 10*j - 12. Let h be t(8). Suppose 5*z = -o + 24 - 7, 20 = 2*z - h*o. Suppose z*m = -m + 65. What is the units digit of m?
3
Suppose -5*b + 1100 = 5*f, -3*b - 4*f + 170 + 485 = 0. What is the tens digit of b?
2
Let r(g) = g**2 - 6*g + 6. Let c be r(4). Let s = c + -3. Let h = 10 + s. What is the units digit of h?
5
Let w(g) = -g**2 - 8*g + 8. Let j be w(-8). Suppose j*i - 6*i - 40 = 0. What is the units digit of i?
0
Let i be (7/21)/((-2)/(-18)). Suppose 0 = k + i*k - 24. What is the units digit of k?
6
Suppose -4*c + 62 = -114. Let o = c - 31. What is the units digit of o?
3
Let m be 72/16*(-4)/(-6). Let g(s) = 5*s**m - 3*s - 7*s**2 + 2*s**2 - 4*s**3. What is the tens digit of g(6)?
1
Let z(j) = 2*j**2 + 7*j - 12. What is the tens digit of z(-6)?
1
Suppose -201 - 54 = -3*u. What is the tens digit of u?
8
Let m(x) = -x**3 - 4*x**2 - 2*x + 2. Let y be m(-2). Let t(i) = 7*i + 2. Let p be t(y). What is the units digit of 3/p - (-58)/8?
7
What is the tens digit of 4/(5 + (-357)/72)?
9
Let r(m) = 69*m**2 + 2. What is the tens digit of r(1)?
7
Suppose 5*v - 44 = 3*v + 2*h, -v - h = -26. What is the units digit of 0 + -3 + -6 + v?
5
Suppose 2*g = 3*n + 10, -3*g - 6 = -5*n - 22. Let i = 8 + -18. What is the units digit of (i/3)/(n/6)?
0
Let z be 10*(1 - 3 - -3). Let p = -6 + z. Let m = p - -1. What is the units digit of m?
5
Suppose 5*d = -10 + 50. Suppose 0 = -2*b + t + 19, -3*b = -d*b - t + 65. What is the units digit of b?
2
Let k(n) = -9 + 4*n**3 + 0 + 2*n**2 + 2 + 6. Let w(z) = -z**2 + 7*z - 5. Let q be w(6). What is the units digit of k(q)?
5
Let c = 5 + -2. Suppose -35 = 5*w - 2*z - 3*z, -4*z + 26 = -c*w. What is the units digit of (w/(-4))/((-4)/(-96))?
2
Suppose m - 4*m + 66 = 0. What is the tens digit of m?
2
Suppose 0 = 5*y + 4*l - 6*l - 12, -2*l = -3*y + 4. Suppose -5 = -y*m + 75. Suppose m = 4*a, -4*o + 3*a + 2*a = 13. What is the units digit of o?
3
Let q(f) = -f**2 + 8*f + 3. Let c be q(6). Let r = c - 7. What is the units digit of r?
8
Suppose 0 = -10*w + 8*w + 146. What is the units digit of w?
3
Let y = 100 - 59. What is the units digit of y?
1
Let n(r) = r**2 + r. Let u be n(-4). Let y = 26 - 18. Let x = u - y. What is the units digit of x?
4
Suppose -5*p + 663 = -4*t, t = -2*p + 18 + 242. What is the tens digit of p?
3
Suppose -3*b - 2*b + 10 = 0. Let m(l) = l**3 - 4*l**2 + 3*l - 1. Let o be m(b). What is the units digit of 1/3*(6 + o)?
1
Let q(b) = -b**3 + 7*b**2 - 3*b - 7. What is the tens digit of q(5)?
2
Let r = 412 + -112. What is the units digit of r?
0
What is the units digit of (-3)/(-9) + 15/9 - -319?
1
Let f(t) = t**2 - t - 18. Let k be f(0). What is the tens digit of (-591)/k - (-2)/12?
3
Suppose -4*x - 18 = 2*h, -3*h - 2*x = -6*h - 43. Let c = h + 17. What is the units digit of c?
4
Suppose -4*v + 134 - 29 = -3*a, 5*v + 4*a - 139 = 0. What is the tens digit of v?
2
Let b(g) = 7*g - 27. Let k(j) = 3*j - 13. Let z(q) = -6*b(q) + 13*k(q). What is the units digit of z(-9)?
0
Let g be ((-27)/12)/((-1)/(-24)). Let v = 105 + g. What is the tens digit of v?
5
Let m(q) = q**3 - 2*q**2 + 4*q - 2. Let g be ((-6)/2)/(6/(-4)). Let r be m(g). Suppose 2*y = -0*s - 3*s - 1, -3*s = 3*y + r. What is the units digit of s?
3
Let w = -318 - -455. What is the hundreds digit of w?
1
What is the tens digit of 1 - 0 - (-9 - 21)?
3
Let k(a) = -a**2 - 11*a - 11. What is the units digit of k(-8)?
3
Suppose 0 = -z - 4*z. Suppose 13 = -5*f - 7, 5*l - f + 16 = z. What is the tens digit of (l/10)/((-2)/50)?
1
Suppose -5*d - 1728 = -17*d. What is the units digit of d?
4
Suppose 0 = 3*k - 35 - 49. What is the tens digit of k?
2
Let c(t) = 3*t**2 - 6*t - 10. What is the tens digit of c(-4)?
6
What is the tens digit of (-3 - -127) + 5/((-10)/6)?
2
Let x(c) = c**3 - 6*c**2 - 6*c - 5. Let a be (-3 - 2)*-1 - -2. What is the units digit of x(a)?
2
Let p(s) = -s - 5. Let k be p(7). Let l = k - -29. What is the units digit of l?
7
Suppose -785 = -12*v + 1783. What is the tens digit of v?
1
Suppose -3*n = p - 3, -5 + 1 = -4*n + p. Suppose 2*q = q - n. What is the units digit of 10/3*(q - -4)?
0
Let o be ((-4)/10)/(1/(-60)). Suppose 4*q - o + 4 = 0. Suppose y = -0*y + 5*f + 2, q*y - 3*f = 32. What is the units digit of y?
7
Let a(l) = -l**3 + 4*l**2 + 6*l - 3. Let d be a(4). Suppose -3*j + 2*j + d = 0. What is the units digit of j?
1
Let x = -27 - -62. What is the tens digit of x?
3
Let m = -83 - -143. What is the units digit of m?
0
Let s(c) = -c**2 + c + 1. Let o be s(0). Let q(d) = 14*d**2 - 1. What is the units digit of q(o)?
3
Suppose v - 6*v = -330. What is the units digit of v?
6
What is the units digit of (-6)/(-21) - (-960)/21?
6
Suppose 0*r = -2*r + 34. What is the units digit of r?
7
Let z(b) = 7*b - 2. Let s(p) = 35*p - 12. Let r(h) = -18*h + 6. Let x(u) = -5*r(u) - 2*s(u). Let o(y) = -6*x(y) + 17*z(y). What is the units digit of o(-2)?
4
Let r(p) = 5*p**2 - 3 + 4 + p + 1. What is the unit | {
"pile_set_name": "DM Mathematics"
} |
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