text
stringlengths 518
8.19k
| meta
dict |
---|---|
34015 to one dp.
143.3
Round 53449.39 to the nearest 10000.
50000
Round -0.001466023 to 4 dps.
-0.0015
Round -4873693 to the nearest one hundred thousand.
-4900000
What is 0.00001415845 rounded to six decimal places?
0.000014
Round 0.00186293 to 4 dps.
0.0019
What is -0.000151645 rounded to six decimal places?
-0.000152
Round 6894.4 to the nearest one hundred.
6900
Round 529.867 to the nearest 100.
500
Round -0.002688903 to four decimal places.
-0.0027
What is 0.088549 rounded to 2 decimal places?
0.09
Round -0.004659964 to four dps.
-0.0047
Round 1.180477 to 1 dp.
1.2
Round -31077.66 to the nearest one hundred.
-31100
Round 12.453171 to zero dps.
12
Round 0.1816898 to 4 dps.
0.1817
Round 409064.4 to the nearest 10000.
410000
Round -61592277 to the nearest 100000.
-61600000
What is 10139600 rounded to the nearest one hundred thousand?
10100000
Round -0.0001215928 to 6 decimal places.
-0.000122
Round 188.75195 to 1 dp.
188.8
Round -4117.06 to the nearest ten thousand.
0
What is -21537.1 rounded to the nearest one thousand?
-22000
Round 0.000751248 to 4 decimal places.
0.0008
Round -51434710 to the nearest 10000.
-51430000
What is -0.768362 rounded to one dp?
-0.8
Round -0.00003205042 to six dps.
-0.000032
What is 635.297 rounded to the nearest one thousand?
1000
Round 666.5253 to zero dps.
667
What is 25834 rounded to the nearest one thousand?
26000
What is 1.56014 rounded to 1 dp?
1.6
What is -0.000003012882 rounded to seven dps?
-0.000003
What is -449948.9 rounded to the nearest 1000?
-450000
Round -35.97425 to zero dps.
-36
Round -0.0002089761 to five decimal places.
-0.00021
What is 0.00000474931 rounded to 6 dps?
0.000005
Round -0.007607299 to 5 decimal places.
-0.00761
Round -13041490 to the nearest 100000.
-13000000
Round 0.0547017 to three dps.
0.055
Round 0.0068974 to 5 decimal places.
0.0069
What is -0.00008781754 rounded to 5 decimal places?
-0.00009
Round 384.3842 to the nearest one hundred.
400
What is 123967880 rounded to the nearest 1000000?
124000000
What is -314.79214 rounded to the nearest ten?
-310
What is 8385.27 rounded to the nearest 10?
8390
What is 0.001710848 rounded to 5 dps?
0.00171
What is -29787.96 rounded to the nearest one hundred?
-29800
What is -343791 rounded to the nearest one hundred thousand?
-300000
Round 0.00000729279 to 6 decimal places.
0.000007
Round 4831707 to the nearest 10000.
4830000
Round -0.0701287 to 2 dps.
-0.07
Round -4.088072 to two dps.
-4.09
What is -0.000719619 rounded to 5 decimal places?
-0.00072
What is 548089000 rounded to the nearest one million?
548000000
What is -0.0001162997 rounded to five dps?
-0.00012
What is -0.00000070408 rounded to seven dps?
-0.0000007
Round -1128.486 to the nearest ten.
-1130
Round 233437.1 to the nearest 100000.
200000
Round -759.188 to the nearest one hundred.
-800
Round -11843000 to the nearest one million.
-12000000
What is -5190700 rounded to the nearest ten thousand?
-5190000
What is -0.01423791 rounded to 2 dps?
-0.01
What is -6547657 rounded to the nearest 100000?
-6500000
Round -0.00000713479 to seven decimal places.
-0.0000071
What is -5.28948 rounded to the nearest integer?
-5
Round -0.0001424579 to six dps.
-0.000142
Round 21304800 to the nearest 1000000.
21000000
What is 0.0000137624 rounded to 5 dps?
0.00001
What is -0.000008280988 rounded to 7 decimal places?
-0.0000083
Round -0.00766293 to 4 decimal places.
-0.0077
Round 0.5863805 to 1 decimal place.
0.6
Round 1371.5618 to the nearest 10.
1370
Round -0.003744863 to 5 dps.
-0.00374
What is 0.0001548667 rounded to 7 dps?
0.0001549
What is 0.00000460617 rounded to six dps?
0.000005
What is -0.00033839648 rounded to 6 dps?
-0.000338
Round 376.819 to the nearest 10.
380
Round -0.0143785 to 4 decimal places.
-0.0144
What is -11593.91 rounded to the nearest ten?
-11590
Round -423838700 to the nearest one million.
-424000000
Round 46.433733 to one decimal place.
46.4
What is -35915.6 rounded to the nearest 100?
-35900
What is 0.3165981 rounded to one decimal place?
0.3
Round -828.1304 to the nearest one hundred.
-800
Round -3588040 to the nearest one million.
-4000000
Round 333.596 to the nearest 100.
300
Round -0.00062659 to 6 decimal places.
-0.000627
Round -5.96933 to the nearest integer.
-6
Round -5452.2 to the nearest 10000.
-10000
What is 41202.5 rounded to the nearest one hundred?
41200
Round 0.00002357369 to six dps.
0.000024
What is -44290050 rounded to the nearest one million?
-44000000
What is -0.000364666 rounded to five dps?
-0.00036
Round 0.0000771735 to 7 decimal places.
0.0000772
What is -0.000682643 rounded to six decimal places?
-0.000683
Round 0.05989365 to two decimal places.
0.06
Round 0.12946786 to four decimal places.
0.1295
Round 0.0001635405 to 6 decimal places.
0.000164
What is -14502.01 rounded to the nearest 10?
-14500
What is 1960.708 rounded to the nearest one hundred?
2000
What is 0.092369 rounded to 4 dps?
0.0924
Round 3843.41 to the nearest one hundred.
3800
What is 0.0001599763 rounded to 6 decimal places?
0.00016
What is -2590040000 rounded to the nearest one million?
-2590000000
Round 0.0006655405 to five decimal places.
0.00067
What is -0.00059677 rounded to four decimal places?
-0.0006
What is -186189.73 rounded to the nearest ten thousand?
-190000
Round -36051.28 to the nearest one hundred.
-36100
What is 0.414 rounded to two decimal places?
0.41
What is 0.0000187229 rounded to 7 dps?
0.0000187
What is 0.00000208867 rounded to 6 dps?
0.000002
Round -5914.2137 to the nearest integer.
-5914
What is -135866320 rounded to the nearest one million?
-136000000
What is 59352 rounded to the nearest 10000?
60000
Round -30251.63 to the nearest one hundred.
-30300
Round 1007500 to the nearest one hundred thousand.
1000000
What is -41021.508 rounded to the nearest 100?
-41000
What is -0.002759914 rounded to 3 dps?
-0.003
Round -6431.47 to the nearest 10.
-6430
Round -0.01992107 to 4 dps.
-0.0199
What is 424457.08 rounded to the nearest 100?
424500
Round -0.3354899 to four dps.
-0.3355
What is -2832068 rounded to the nearest one million?
-3000000
Round 1480119 to the nearest one hundred thousand.
1500000
Round 78119400 to the nearest one hundred thousand.
78100000
Round 6074520 to the nearest ten thousand.
6070000
What is 133.64 rounded to the nearest 10?
130
What is -0.004854 rounded to 4 decimal places?
-0.0049
What is 0.00821728 rounded to 5 decimal places?
0.00822
What is -17123.53 rounded to the nearest one thousand?
-17000
Round 0.055034 to one dp.
0.1
Round -0.05928629 to 3 dps.
-0.059
What is -0.007114191 rounded to 6 dps?
-0.007114
Round 0.000205106 to 5 dps.
0.00021
What is -68280520 rounded to the nearest 1000000?
-68000000
What is 162.18461 rounded to 1 decimal place?
162.2
What is 0.0000769606 rounded to five dps?
0.00008
What is -2070.88 rounded to the nearest 100?
-2100
Round 1.4191 to the nearest integer.
1
Round -0.254463 to three dps.
-0.254
What is 0.000331301 rounded to six decimal places?
0.000331
Round 8551.85 to the nearest one thousand.
9000
What is 4174120 rounded to the nearest one thousand?
4174000
What is 0.00000426368 rounded to six decimal places?
0.000004
What is 25790000 rounded to the nearest 100000?
25800000
Round -23401700 to the nearest one hundred thousand.
-23400000
What is -26891600 rounded to the nearest ten thousand?
-26890000
What is 0.15859 rounded to three decimal places?
0.159
Round 2.742283 to three decimal places.
2.742
Round 11.28081 to two dps.
11.28
What is 0.000005332997 rounded to 6 decimal places?
0.000005
What is 2.92281 rounded to 1 decimal place?
2.9
What is 7106.46 rounded to the nearest 1000?
7000
What is 0.12942801 rounded to 4 dps?
0.1294
What is -0.000895934 rounded to five decimal places?
-0.0009
Round 492.6231 to the nearest ten.
490
Round 17875.68 to the nearest 1000.
18000
What is -13626.89 rounded to the nearest 10000?
-10000
Round 0.00004007784 to seven dps.
0.0000401
What is 1043.2072 rounded to the nearest one hundred?
1000
Round -0.00008796306 to six dps.
-0.000088
What is -0.0002066887 rounded to seven decimal places?
-0.0002067
Round 9.94734 to the nearest integer.
10
What is 211.461 rounded to the nearest one hundred?
200
What is 70320.7 rounded to the nearest ten thousand?
70000
Round 825.1666 to 1 | {
"pile_set_name": "DM Mathematics"
} |
osest to -2/15? (a) 0.2 (b) 3694 (c) -1
a
Which is the nearest to -2/3? (a) -6 (b) 0.06 (c) 25/46 (d) 3/2 (e) 0.1
b
Which is the nearest to 1/3? (a) 2/11 (b) 38 (c) -2 (d) 8 (e) 3.3
a
Which is the nearest to 1? (a) -30512/13 (b) -2/7 (c) 2
c
Which is the nearest to -2? (a) -1 (b) 198/25 (c) -2/9
a
Which is the nearest to 4/5? (a) 3.4 (b) 0.4 (c) 4
b
What is the closest to 5 in 21/4, -0.9, -0.1, -15, -4?
21/4
Which is the closest to 0.1? (a) 1/191 (b) -102 (c) -2/3
a
What is the closest to -105 in -4, 0.1, -0.2, -49?
-49
What is the nearest to -3 in 6, -1, 0.018, -0.1?
-1
What is the closest to 1 in 7, -0.01, 1/13, -1?
1/13
What is the nearest to 1 in -3, -0.3, 3/8, -2/13, 0.9814?
0.9814
What is the nearest to 69 in 0.2, 0.09, -0.1, 7?
7
What is the nearest to -1274 in -0.2, 1/5, 4/5?
-0.2
What is the closest to 0.2 in 0.09, -2/7, -2/13, -9?
0.09
Which is the nearest to -48? (a) -8 (b) 5 (c) 0.5
a
What is the closest to 167 in -286, 1, 2/19?
1
Which is the nearest to -0.658? (a) -34 (b) -19 (c) 0.3
c
What is the nearest to 0.3 in 2/21, -2/15, -3.3, 0.5, 0.32?
0.32
Which is the nearest to 1/4? (a) -4/7 (b) 0.5 (c) 5 (d) 0.0299
d
Which is the nearest to 36? (a) 359 (b) 3 (c) 4 (d) -4 (e) 0.1
c
Which is the nearest to 1? (a) -0.54 (b) 5 (c) -18/2419
c
What is the closest to -0.2 in -2/13, 2/5, 2/565?
-2/13
Which is the closest to 371? (a) -3/7 (b) -3 (c) -1 (d) 33
d
Which is the nearest to -6? (a) 185 (b) 38 (c) -5
c
What is the nearest to -0.5 in 40, 0, 0.126, 1?
0
Which is the nearest to -1? (a) -4 (b) 1/10 (c) -4/15 (d) -0.1 (e) -1/11
c
What is the nearest to 2 in 1.28, 2, 5, 0.2, 3?
2
What is the nearest to 2 in -2, 0.13, 3/67, 5?
0.13
What is the nearest to -0.29 in 1/4, 0, -489?
0
What is the nearest to 1/2 in -1/3, -318, 3/20?
3/20
Which is the closest to 0? (a) -1/5 (b) 1.5 (c) 2/21 (d) -13 (e) -3
c
What is the nearest to 2 in -2/15, -2/57, 5363?
-2/57
Which is the closest to -1? (a) 2/9 (b) 0 (c) 4/1059 (d) 1
b
What is the nearest to 5 in 0.032, 14, 0.1?
0.1
Which is the nearest to 0? (a) 80 (b) 2/129 (c) -0.1
b
Which is the nearest to -3? (a) 4 (b) -2/5 (c) 1 (d) 14/3
b
Which is the nearest to -3? (a) 4 (b) -2.32 (c) -0.23
b
What is the nearest to 2.2 in -14/5, 5, 9/5?
9/5
Which is the closest to 2/237? (a) -4 (b) 0.2 (c) -3 (d) -2 (e) 1
b
Which is the closest to -1.7569? (a) -0.3 (b) -4 (c) 0.1
a
What is the nearest to -0.2 in -14, -0.3, 4/97, -3?
-0.3
Which is the nearest to -1? (a) -1/5 (b) 0.2 (c) -0.14 (d) 127
a
What is the nearest to 0 in -2, -13/2, 0.08, 0.1?
0.08
What is the nearest to -15 in -596, -3, 0, -4/7, 3?
-3
Which is the nearest to -3? (a) 2 (b) -4 (c) -12 (d) 11/2
b
What is the closest to 3/5 in 9, -1, -3822?
-1
What is the closest to 0.04 in 45, 3, -4, 0.1?
0.1
What is the closest to 15 in -6, -24, 0.4, 5?
5
Which is the nearest to -6/23? (a) 0.4 (b) 11 (c) -15 (d) -2/9
d
Which is the closest to 0.3? (a) -6 (b) -2/7 (c) -19 (d) -2/9 (e) 3
d
What is the nearest to 1/2 in 4, -1, -0.5, -4?
-0.5
What is the closest to -5 in 7, 2, 1/85?
1/85
Which is the closest to -0.2? (a) -3 (b) -2 (c) 4/7 (d) -654
c
Which is the nearest to -351? (a) -2 (b) 1.1 (c) 0 (d) -0.1
a
What is the closest to -2 in -12/11, -4/5, -1, 51?
-12/11
What is the nearest to -3/85 in 0.4, -9/4, -2?
0.4
What is the closest to -1/2 in 1/10, -1/658, -4/7, 5?
-4/7
What is the closest to -2/3 in 1/3, 5, 2769?
1/3
Which is the nearest to 0.8? (a) -0.08 (b) 0.07 (c) 0.38
c
Which is the closest to -1538? (a) -2/9 (b) -3 (c) 0
b
Which is the closest to 0.3? (a) 1 (b) 0.11 (c) -2 (d) 0.4 (e) 14
d
Which is the nearest to -2? (a) -328 (b) -5 (c) 30
b
Which is the nearest to 11? (a) -5 (b) 0.4 (c) 0.04 (d) 3
d
Which is the closest to -5? (a) -0.2 (b) -2057 (c) 0.1 (d) 2/29 (e) 1
a
What is the nearest to 2 in -1019, 2/9, -4, -0.2?
2/9
What is the closest to 2/889 in 15, -0.5, 0.01, 5?
0.01
What is the closest to -1/2 in -25/2, 7, -7, -0.06?
-0.06
What is the nearest to 2 in 0.6, 3, -0.2, -7, -0.5?
3
Which is the nearest to -0.1? (a) 37 (b) 9 (c) -82
b
What is the closest to -895 in -0.5, -2, -109?
-109
What is the nearest to -2 in -1164, 13, -7, -2/15, -5?
-2/15
Which is the closest to -2? (a) -699 (b) -1/6 (c) -0.5
c
What is the nearest to 3 in 5, 18/679, -0.5?
5
Which is the closest to -1/3? (a) 0.5 (b) -16/3 (c) 2.1
a
Which is the closest to -1? (a) -2 (b) 27 (c) -5 (d) 3.17
a
What is the nearest to 25.7 in -5, -3, 4.6, -0.1, 1?
4.6
Which is the closest to 12? (a) -0.7 (b) 1 (c) -493 (d) -2/17
b
Which is the closest to -255? (a) -1 (b) 0.1 (c) 207 (d) -2
d
Which is the nearest to -5.68? (a) 2/7 (b) -0.08 (c) 1/6
b
What is the closest to -3/7 in 1.196, 0.5, 0.1?
0.1
What is the nearest to 0.1 in -2, -3038, 5, -4/9?
-4/9
Which is the closest to 0? (a) 4/9 (b) -2 (c) -1 (d) -357 (e) 0.5
a
Which is the nearest to -18? (a) 0.044 (b) 0.2 (c) -0.4
c
Which is the nearest to -1/26? (a) -11 (b) 2/17 (c) -4 (d) -0.4 (e) 0.1
e
What is the nearest to -1 in 0.634, 0.1, -22?
0.1
Which is the nearest to -2/5? (a) -0.2 (b) 2.5 (c) 32
a
What is the closest to -6 in 1349, -0.4, -2/9, 3, -1?
-1
What is the nearest to -39.2 in -4, -0.2, 1/109, -3?
-4
Which is the closest to 0? (a) 2 (b) 57 (c) 0.08 (d) 4 (e) 5
c
Which is the nearest to 0.56? (a) -1/8 (b) -54 (c) 0 (d) 5
c
What is the closest to 2 in 205, 0, 16/15?
16/15
What is the nearest to -73 in 0.5, -124, 1/3?
-124
Which is the nearest to 0? (a) 4 (b) -18 (c) 6 (d) 1 (e) -0.6
e
What is the closest to -2/3 in -49780, 1/2, -4?
1/2
What is the nearest to -15 in -0.4, -30, 2, -0.1?
-0.4
Which is the closest to -2? (a) -4 (b) -2/3 (c) -1/5 (d) 1/3 (e) 49/4
b
Which is the nearest to 0.3? (a) -0.04 (b) 5 (c) -0.1 (d) -1/5
a
Which is the nearest to 1? (a) 0.01 (b) -1/11 (c) -1/5 (d) 8 (e) 2/5
e
Which is the closest to -8? (a) -3 (b) 5/14 (c) -1
a
What is the nearest to -2/7 in -0.2, -10/3, -2, -20.7, 0.02?
-0.2
Which is the closest to -0.1? (a) 3/5 (b) -5 (c) -2/9 (d) 4.994
c
Which is the nearest to 1? (a) 1/13 (b) 2/9 (c) -2/15 (d) -149 (e) -3
b
Which is the nearest to -2? (a) 32 (b) 39 (c) -2/13
c
What is the closest to -0.77 in 1562, 5, 0.1?
0.1
What is the closest to -1 in 4, -21, 0.08, -1?
-1
What is the nearest to -6/11 in 26, 0.5, -3, -0.1, -1/5?
-1/5
What is the nearest to 0.2 in 7, -1, -631?
-1
Which is the nearest to -2/7? (a) 0.39 (b) -15/4 (c) -1.05
a
Which is the nearest to 2? (a) -3 (b) -265 (c) 0.6 (d) -0.1 (e) 0.4
c
What is the nearest to 157/3 in -3, -4, -0.2?
-0.2
What is the closest to -1/3 in -3, 3/2, 0.3, -1/45?
-1/45
What is the nearest to -5 in -1/2, 3, 8/11, -0.018?
-1/2
What is the nearest to 0 in 2, 2/9229, -0.2, 0.1?
2/9229
What is the nearest to -1 in -7.777, 0.2, -2, 1?
-2
What is the closest to -0.3 in -2383, 0, -1/5, -2/3?
-1/5
Which is the closest to 1.21? (a) 1 (b) -2/37 (c) -0.3 (d) -0.5 (e) 5
a
What is the closest to 2/5 in 0.0523, 5, -5, 0, 4?
0.0523
Which is the closest to 2? (a) -0.3623 (b) 0.05 (c) 1/4 (d) 1 (e) 5
d
Which is the closest to -2? (a) 7 (b) 2/3 (c) 51 (d) 0.1
d
Which is the closest to -10? (a) 0.1 (b) -4.892 (c) 0
b
Which is the nearest to 1? (a) -0.5 (b) 0.06 (c) 0.4 (d) -7 (e) -73
c
What is the closest to 1 in 1, 96, 17/5?
1
Which is the nearest to -0.2? (a) -1/43 (b) -8 (c) -3 (d) 4/5
a
Which is the nearest to -1288? (a) 1/29 (b) -0.2 (c) -5
c
Which is the nearest to 25? (a) -100.9 (b) 5 (c) -1 (d) 0.5
b
Which is the closest to -268? (a) 0.1 (b) -4 (c) -3 (d) -5
d
Which is the nearest to 0? (a) 3 (b) -5/4 (c) 0.191 (d) 1
c
What is the nearest to 4/5 in -2/3, 23/13, 3, -55?
23/13
What is the nearest to 2/45 in 3, 0.4, 84, -2/9, 2/7?
2/7
What is the nearest to -1/5 in -3, -231/2, -0.1, 0.061?
-0.1
What is the nearest to -8 in -0.38, -13, -7?
-7
Which is the closest to 6? (a) 37/11 (b) 3 (c) -0.08 (d) -1 (e) -12
a
Which is the closest to 0.24? (a) 0.1 (b) 0.03 (c) 113 (d) 3/4
a
Which is the closest to -0.1? (a) 5 (b) -3 (c) 3 (d) -2.5
d
What is the closest to 90/7 in -28, 2/5, 1?
1
Which is the closest to -1/3? ( | {
"pile_set_name": "DM Mathematics"
} |
ch that -2*v**s + v**5 + v**2 + 3*v**3 + 0*v**3 - 3*v**4 = 0.
0, 1
Let x(k) be the first derivative of -k**5/15 + 7*k**4/12 - k**3 - 9*k**2/2 + 18*k + 37. Factor x(m).
-(m - 3)**3*(m + 2)/3
Let o = 611 + -609. Factor -6/5 - 8/5*l - 2/5*l**o.
-2*(l + 1)*(l + 3)/5
Let f(v) be the first derivative of v**6/9 - 2*v**5/15 - v**4/3 + 4*v**3/9 + v**2/3 - 2*v/3 + 3. Factor f(c).
2*(c - 1)**3*(c + 1)**2/3
Let y be (-104)/78*2/10*-3. Solve -y*l**2 + 0 + 0*l + 2/5*l**3 = 0 for l.
0, 2
Let m be (70/(-25) - -3) + (-43)/(-35). Solve -2*a + 6/7 - 2/7*a**3 + m*a**2 = 0.
1, 3
Let h = 10 - 5. Factor -2*r**4 - 4*r**4 - r**5 - 2*r**2 + 3*r**h + 6*r**3.
2*r**2*(r - 1)**3
Let r be (-3 - 45) + 2 + 1. Let k = r - -181/4. Factor k + 1/4*b**2 - 1/2*b.
(b - 1)**2/4
Let u(o) = o**3 + o**2 - o. Let r be u(0). Factor -1/2*f - 1/2*f**3 + r - f**2.
-f*(f + 1)**2/2
Suppose 3*q = -5*a + 2*a + 3, -2*a - 16 = -4*q. Let 16*s**2 - 15*s**2 - s**3 + s + 0*s**q + 2*s**4 - 3*s**4 = 0. Calculate s.
-1, 0, 1
Suppose 0 = 5*c + 1 - 11. Let p(m) be the first derivative of -2/7*m**2 + 2/21*m**3 + 0*m - c. Determine s, given that p(s) = 0.
0, 2
Determine z, given that -3*z**2 + z**2 + 5*z**2 = 0.
0
Let h = 176 - 111. Factor -8*i**3 - i**2 - 3*i**2 - h*i + 73*i + 4*i**4.
4*i*(i - 2)*(i - 1)*(i + 1)
Let x be 2 + -1 + 5 + -3. Suppose 4/3*l**2 + 0 - 2/3*l**x + 0*l = 0. What is l?
0, 2
Let b(m) be the third derivative of 0*m**4 - 1/20*m**5 - 3/70*m**7 + 5*m**2 + 0*m + 0 + 0*m**3 + 3/40*m**6 + 1/112*m**8. Factor b(t).
3*t**2*(t - 1)**3
Suppose -10*p - 12 = 4*y - 6*p, 3*y + 5*p + 15 = 0. Factor 0*k**3 + y*k - 2/5*k**4 + 4/5*k**2 - 2/5.
-2*(k - 1)**2*(k + 1)**2/5
Let x(y) be the first derivative of -y**4/18 + 10*y**3/27 - 4*y**2/9 + 21. Factor x(d).
-2*d*(d - 4)*(d - 1)/9
Let f(b) = -b**3 + b**2 + 2. Let p be f(0). Let z(q) be the second derivative of 0 - 4*q + 1/42*q**4 + 2/21*q**3 + 0*q**p. Suppose z(j) = 0. What is j?
-2, 0
Let f(g) = -4*g**3 + 5*g**2 - 6*g - 5. Let j(u) = -3*u**3 + 4*u**2 - 5*u - 4. Let q(i) = 4*f(i) - 5*j(i). Factor q(t).
-t*(t - 1)*(t + 1)
Let s be 0 + (-12)/(-9)*(-6)/(-28). Factor s*o**2 - 6/7*o + 4/7.
2*(o - 2)*(o - 1)/7
Let l be ((-6)/(-4))/((-135)/35). Let g = l + 8/9. Suppose -1/2*t**2 - t - g = 0. Calculate t.
-1
Let r be (-7 + 8)/(-2 - 102/(-36)). Factor 0 + 6/5*t - r*t**3 - 3/5*t**4 + 3/5*t**2.
-3*t*(t - 1)*(t + 1)*(t + 2)/5
Let q(g) be the second derivative of g**7/42 + 7*g**6/30 + 2*g**5/5 - 4*g**4/3 - 14*g. Determine u, given that q(u) = 0.
-4, 0, 1
Let a(v) be the first derivative of v**7/7 - 11*v**6/15 + 4*v**5/5 + 2*v**4/3 - 5*v - 4. Let o(h) be the first derivative of a(h). Let o(c) = 0. What is c?
-1/3, 0, 2
Let k(h) = 3 - 4*h**3 + 4*h - h**3 + 3*h**3 - 2*h**2 + 0*h. Let x(z) = -9*z**3 - 8*z**2 + 17*z + 13. Let q(t) = 26*k(t) - 6*x(t). Suppose q(v) = 0. Calculate v.
0, 1
Let r(z) be the third derivative of -z**5/420 - z**4/14 - 6*z**3/7 + 17*z**2. Suppose r(y) = 0. What is y?
-6
Factor 10*c**2 + 20 + 9353*c**3 - 9348*c**3 - 35*c + 0*c.
5*(c - 1)**2*(c + 4)
Let c(q) be the first derivative of 5*q**6/21 + 34*q**5/35 + 3*q**4/2 + 22*q**3/21 + 2*q**2/7 + 16. Find r such that c(r) = 0.
-1, -2/5, 0
Let -28/9*v - 16/9*v**2 + 8/9 = 0. Calculate v.
-2, 1/4
Let l(x) be the third derivative of -x**6/720 - x**5/180 + 7*x**2. Determine o, given that l(o) = 0.
-2, 0
Suppose -2 - 30 = 4*j. Let q = -5 - j. Let -1/4*d + 1/4*d**q - 1/4*d**4 + 0 + 1/4*d**2 = 0. What is d?
-1, 0, 1
Let r(x) be the third derivative of -x**7/70 + x**6/40 + x**5/20 - x**4/8 - 2*x**2. Factor r(s).
-3*s*(s - 1)**2*(s + 1)
Suppose -25 = -7*a + 2*a. Let q(j) be the second derivative of -1/18*j**4 + 1/3*j**2 + 1/30*j**a - 1/9*j**3 - j + 0. Let q(k) = 0. What is k?
-1, 1
Factor -5 + 11*l - 2*l**2 + 6 - 9 - l.
-2*(l - 4)*(l - 1)
Factor -2/7*k + 2/7*k**3 + 0 + 2/7*k**4 - 2/7*k**2.
2*k*(k - 1)*(k + 1)**2/7
Solve -4/3*x + 4/9 + 4/3*x**2 - 4/9*x**3 = 0.
1
Let f be (-40)/70*14/(-4). Let x(y) be the first derivative of 2 + 0*y - 1/2*y**3 - 1/4*y**f. Determine i, given that x(i) = 0.
-1/3, 0
Let f(y) be the third derivative of 0*y**5 + 0*y + 0*y**7 + y**2 + 1/112*y**8 + 0 + 0*y**3 + 0*y**4 - 1/40*y**6. Factor f(m).
3*m**3*(m - 1)*(m + 1)
Determine s, given that 2/3*s + 0 - 4*s**4 - 14/3*s**3 + 0*s**2 = 0.
-1, -1/2, 0, 1/3
Let p(i) be the third derivative of 2*i**7/105 + i**6/30 - 19*i**2. Factor p(o).
4*o**3*(o + 1)
Let q(r) be the second derivative of -2*r**7/105 + 26*r**6/75 - 12*r**5/5 + 112*r**4/15 - 128*r**3/15 - 3*r. Factor q(n).
-4*n*(n - 4)**3*(n - 1)/5
Factor -2*d**3 - 16/5*d**2 + 0 + 8/5*d.
-2*d*(d + 2)*(5*d - 2)/5
Let i(q) = 3 + 17*q**3 - 16*q**3 + 4 - 8*q. Let l(p) = p**3 - 9*p + 8. Let x(s) = -6*i(s) + 5*l(s). Determine v, given that x(v) = 0.
-2, 1
Let g(w) be the first derivative of 2/7*w**2 + 2/35*w**5 + 0*w**3 - 1/7*w**4 - 3 - 2/7*w. Factor g(y).
2*(y - 1)**3*(y + 1)/7
Let z be (10 - (2 - -3)) + 42/(-9). Factor 0 + 1/3*y**2 - z*y.
y*(y - 1)/3
Let r(h) = h**5 - 3*h**4 + 10*h**3 - 12*h**2 + 7*h - 3. Let d(z) = z**5 - 2*z**4 + 10*z**3 - 13*z**2 + 8*z - 4. Let v(t) = -2*d(t) + 3*r(t). Factor v(l).
(l - 1)**5
Factor -8/11 - 12/11*j**2 - 18/11*j - 2/11*j**3.
-2*(j + 1)**2*(j + 4)/11
Let c(b) be the first derivative of 5*b**3/3 - b**2/2 + 3. Let p(a) = 4*a**2 - a. Let l(q) = 3*c(q) - 4*p(q). Let l(n) = 0. Calculate n.
0, 1
Let t = -100 + 104. Let a(c) be the second derivative of 8/9*c**3 - 3*c - 17/36*c**t + 0 - 2/3*c**2 + 1/12*c**5. Factor a(v).
(v - 2)*(v - 1)*(5*v - 2)/3
Let s(x) be the second derivative of -3*x**3 + 27/2*x**2 + 6*x + 1/4*x**4 + 0. Factor s(p).
3*(p - 3)**2
Let o(n) be the second derivative of n**5/80 + n**4/12 + 5*n**3/24 + n**2/4 + 3*n. Let o(t) = 0. What is t?
-2, -1
Let x(t) be the first derivative of -t**6/480 - t**5/240 - t**2 + 1. Let b(a) be the second derivative of x(a). Factor b(y).
-y**2*(y + 1)/4
Let l be (-87)/360 - (-3)/12. Let o(w) be the third derivative of -2*w**2 + 0 + 0*w**3 + 0*w + 1/48*w**4 - l*w**5. Factor o(d).
-d*(d - 1)/2
Let b(d) = d**3 - 6*d**2 + d + 1. Let g be b(3). Let n = -14 - g. Find v, given that n*v - 8*v**2 - 9*v + 8*v**3 - 2*v**4 = 0.
0, 2
Let x be 1/(((-1)/(-1))/8). Let t be (-3)/(-12) + (-2)/x. Solve -18/11*d**5 + 8/11*d**2 + t - 24/11*d**4 + 4/11*d**3 - 2/11*d = 0.
-1, 0, 1/3
Let l(d) be the second derivative of -d**4/60 - d**3/15 + 15*d. Find j such that l(j) = 0.
-2, 0
Let m(q) = -2*q - 3. Let i be m(-4). Suppose -3*s - y = 3*y - 9, s - i*y - 3 = 0. Factor -s*x + 2 - 2*x**2 + 3*x.
-2*(x - 1)*(x + 1)
Solve 7*i**2 + 10 + 5*i - 18*i**2 - 4*i**2 = 0 for i.
-2/3, 1
Let q(s) be the second derivative of -s**6/75 + s**5/50 + 2*s**4/15 - 4*s**3/15 - 8*s. Suppose q(l) = 0. Calculate l.
-2, 0, 1, 2
Suppose 3*j**3 + 8*j**4 - 5*j**3 - 3*j**5 - 3*j**5 = 0. Calculate j.
0, 1/3, 1
Let s be -1 - (-3 + 0/(-3)). Suppose 2*l - 3*l**4 - s*l**3 - 2*l**4 + 3*l**4 + 0*l + 2*l**2 = 0. What is l?
-1, 0, 1
Let b(m) be the third derivative of -m**7/3360 + m**6/480 - m**5/160 + m**4/96 + 7*m**3/6 + 4*m**2. Let k(t) be the first derivative of b(t). Factor k(w).
-(w - 1)**3/4
Let u be 16/(-64)*(-1 - 15). Let n(k) be the second derivative of -1/15*k**6 + 0*k**2 + 0 + 1/2*k**u + 0*k**5 - 2/3*k**3 + 2*k. Suppose n(r) = 0. Calculate r.
-2, 0, 1
Let c(w) be the third derivative of 1/21*w**4 - 3*w**2 + 1/1260*w**6 + 0*w + 1/6*w**3 + 0 + 1/105*w**5. Let i(a) be the first derivative of c(a). Factor i(l).
2*(l + 2)**2/7
Let i = -14 + 17. Let c(b) be the second derivative of 1/15*b**6 - 3/20*b**5 + 0 + b + 0*b**i + 0*b**2 + 1/12*b**4. What is n in c(n) = 0?
0, 1/2, 1
Let h = 167 - 311/2. Let a = 73/6 - h. Suppose 1/3*g + 1/3*g**2 - a = 0. What is g?
-2, 1
Let v(i) be the first derivative of -7*i**4/26 - 10*i**3/39 + 2*i**2/13 + 3. Factor v(x).
-2*x*(x + 1)*(7*x - 2)/13
Suppose 0 = -2*l + 3*u + u + 20, l - 3*u = 15. Let r(v) be the first derivative of 4 + 1/3*v**6 + 0*v**2 + 2/5*v**5 + l*v**4 + 0*v**3 + 0*v. Factor r(n).
2*n**4*(n + 1)
Find t such that -4/3*t**2 + 0 - 2/3*t - 2/3*t**3 = 0.
-1, 0
Let l be (-1 - 1)*18/4. Let j = l - -11. Factor 4/3*b + 0 - j*b**3 - 2/3*b**2.
-2*b*(b + 1)*(3*b - 2)/3
Factor 5*l**4 - 5*l**4 - 2*l**4 - l**5 - l**5.
-2*l**4*(l + 1)
Suppose 4*z + g - 3 = 0, -3*g - 2*g = 25. Let f(w) be the first derivative of -1/2*w**z + 3 + 0*w - 1/4*w**4 - 2/3*w**3. Le | {
"pile_set_name": "DM Mathematics"
} |
ivative of 0*i - z*i**5 + 0*i**3 + 0 - 2*i**2 + 0*i**4. Factor r(m).
-m**2
Let m = 26 - 19. Let y(k) be the second derivative of 1/90*k**6 + k + 1/18*k**3 - 1/18*k**4 + 0 + 1/126*k**m - 1/30*k**5 + 1/6*k**2. Factor y(z).
(z - 1)**2*(z + 1)**3/3
Let h = 5 - 3. Find z, given that -2*z**4 + 4*z**2 - z**2 + 3*z**h - 4*z + 0*z**4 = 0.
-2, 0, 1
Let g be (-32)/((-22)/6 + 20/30). Factor 8/3*q**2 + g*q + 2/9*q**3 + 128/9.
2*(q + 4)**3/9
Suppose 10 = 5*j + s, -5*j - 3*s + 8*s = -40. Let y(t) be the third derivative of 0*t - 1/15*t**5 - t**2 - 1/9*t**j - 1/72*t**6 - 1/8*t**4 + 0. Factor y(h).
-(h + 1)**2*(5*h + 2)/3
Let t(z) be the first derivative of 81/10*z**5 - 2*z - 9*z**2 - 77/6*z**3 + 3 + 9/2*z**4. Solve t(u) = 0.
-1, -2/9, 1
Let y(n) = n**2 + 2*n - 1. Let k be y(-3). Let z be 10/(-15)*-1*3. Solve -c**k - 3*c**2 - 2*c**3 - c**4 + 3*c**z = 0 for c.
-1, 0
Let h = 138 - 134. Let r(g) be the third derivative of 0*g + 0 + 1/300*g**5 + 1/60*g**4 + h*g**2 + 1/30*g**3. Let r(i) = 0. What is i?
-1
Let b(r) be the second derivative of -r**6/900 - r**5/300 + r**4/30 - 2*r**3/3 - 2*r. Let y(s) be the second derivative of b(s). Suppose y(u) = 0. Calculate u.
-2, 1
Let h be (3/6)/((-1)/(-10)). Let a = h + -3. Factor -a*r**3 + 2*r + 4*r**2 - 2*r**2 - 4*r**2 + 1 + 1.
-2*(r - 1)*(r + 1)**2
Let b(i) be the third derivative of -i**6/180 - i**5/90 + i**4/36 + i**3/9 - 3*i**2. Factor b(u).
-2*(u - 1)*(u + 1)**2/3
Let i(k) = -k**2 - 6*k + 2. Let u be i(-6). Let s(x) be the first derivative of u - 2/15*x**3 - 4/5*x**2 - 8/5*x. Let s(w) = 0. What is w?
-2
Find f such that 1 + 0*f**2 + 1 - f**4 + 2*f**2 - 3 = 0.
-1, 1
Let z(d) = d**3 - d**2 - d. Suppose 5*j + 15 = 0, 4*o - 4*j = 5 - 1. Let n(x) = -2*x**3 + x**2 + 4*x + 2. Let i(h) = o*z(h) - 2*n(h). Factor i(a).
2*(a - 2)*(a + 1)**2
Let i be ((-1)/(-126))/((-24)/(-9) + -1). Let t(y) be the third derivative of 0*y + 1/60*y**6 - y**2 - i*y**7 + 0*y**5 - 1/12*y**4 + 1/6*y**3 + 0. Factor t(d).
-(d - 1)**3*(d + 1)
Let s(j) be the third derivative of j**9/7560 - j**8/1680 + j**7/1260 - j**4/8 - j**2. Let n(d) be the second derivative of s(d). Factor n(a).
2*a**2*(a - 1)**2
Suppose t + 638 = -4*r, -5*r + t = -t + 804. Let u = r + 803/5. Find y, given that -3/5*y**4 + 3/5*y**2 - u*y + 3/5*y**3 + 0 = 0.
-1, 0, 1
Let s(k) = 13*k**4 + 16*k**3 - 33*k**2 - 25*k + 11. Let y(t) = -3*t**4 - 4*t**3 + 8*t**2 + 6*t - 3. Let x(h) = -2*s(h) - 9*y(h). Factor x(q).
(q - 1)**2*(q + 1)*(q + 5)
Let p(m) be the third derivative of -m**6/540 + m**5/180 + m**3 - 8*m**2. Let a(o) be the first derivative of p(o). Factor a(w).
-2*w*(w - 1)/3
Suppose -f - 7*c + 15 = -4*c, c - 37 = -3*f. Suppose -2*w - 2*w = -f. Solve -4*m - m**2 + 2*m + w*m**2 = 0 for m.
0, 1
Let z = 119 - 116. Let q(u) be the second derivative of 1/12*u**4 + 0*u**2 - 1/30*u**6 + 0 - 2*u - 1/20*u**5 + 0*u**z + 1/42*u**7. Factor q(c).
c**2*(c - 1)**2*(c + 1)
Let m(a) be the first derivative of a**4/66 - 4*a + 2. Let n(s) be the first derivative of m(s). Let n(g) = 0. Calculate g.
0
Suppose 0 = 9*r - 67 - 149. Find v such that -16/3 - 20*v**2 - 14/3*v**3 - r*v = 0.
-2, -2/7
Let a(c) be the third derivative of -5*c**6/6 + 9*c**5/4 - 5*c**4/24 - 5*c**3 + 24*c**2. Factor a(w).
-5*(w - 1)*(4*w - 3)*(5*w + 2)
Let q be -2 - (2/(-2) + -4). Factor 4*m**4 - 4*m**4 + m**q - 2*m**4 + m**5.
m**3*(m - 1)**2
Let x(j) = j**3 - 2*j**2 - j - 4. Let u(t) = 1. Let f(i) = i**2 + 3*i + 2. Let z be f(-4). Let d be (-3)/z - (-3)/(-6). Let a(g) = d*x(g) - 6*u(g). Factor a(s).
-(s - 2)*(s - 1)*(s + 1)
Suppose -8*p - 6*p = 0. Let v(w) be the third derivative of 0*w**3 + p + 1/40*w**6 - 1/20*w**5 - 3*w**2 + 1/70*w**7 + 0*w + 0*w**4 - 1/112*w**8. Solve v(t) = 0.
-1, 0, 1
Let f(y) = -y**2 - 22*y + 77. Let m be f(-25). What is s in 48/7*s**4 + 0*s + 2/7*s**m + 32/7*s**5 + 18/7*s**3 + 0 = 0?
-1, -1/4, 0
Let j = 5 + -19/4. Let 0 + 1/2*y**2 + j*y + 1/4*y**3 = 0. What is y?
-1, 0
Let x(i) be the second derivative of 0*i**2 + 0 - 1/10*i**5 + 1/45*i**6 - 4*i + 0*i**3 + 0*i**4. Determine b so that x(b) = 0.
0, 3
Suppose 4*m = 11*m. Solve m + 1/2*t - 1/2*t**2 = 0.
0, 1
Let n(t) = -11*t**4 + 11*t**3 + 11*t**2 - 11*t - 9. Let z(y) = -3*y**4 + 3*y**3 + 3*y**2 - 3*y - 2. Let j(g) = -2*n(g) + 9*z(g). Factor j(x).
-5*x*(x - 1)**2*(x + 1)
Suppose -4*n - 4*l = -36, l = 4*n - 0*n - 16. Suppose 0 = -n*a - 0*a. Factor 1/4*s**2 - 1/4*s + a.
s*(s - 1)/4
Let v(r) be the first derivative of -r**5/150 - r**4/30 - r**3/15 + r**2 - 1. Let k(s) be the second derivative of v(s). Factor k(b).
-2*(b + 1)**2/5
Solve 10/7*o**3 - 4/7*o**2 + 2*o**4 + 0*o + 0 = 0.
-1, 0, 2/7
Factor 27/4*b + 3/4*b**2 + 6.
3*(b + 1)*(b + 8)/4
Let n(d) = d**3 + 3*d**2 - 4*d. Let q be n(-4). Let v = -831/7 - -119. Factor -2/7 + q*y + v*y**2.
2*(y - 1)*(y + 1)/7
Let t = 8 - 4. Suppose -3*z + 3 = -3*h, 3*h + t = z + 7. Factor m + m**5 - 2*m**z + 4 - 4.
m*(m - 1)**2*(m + 1)**2
Let n(b) be the first derivative of 0*b**3 - 2 + 0*b - 1/6*b**4 + 1/3*b**2. Let n(a) = 0. Calculate a.
-1, 0, 1
Let z(j) = 4*j**3 + 53*j**2 + 143*j + 73. Let g(c) = c**3 + 27*c**2 + 72*c + 37. Let d(a) = 7*g(a) - 3*z(a). Solve d(l) = 0 for l.
-1, 8
Suppose 0 = -0*j + 5*j - 10. Factor 24 - 3*l**3 - 6*l**2 + 10*l - j*l + 4*l.
-3*(l - 2)*(l + 2)**2
Let x(m) = m**2 - 5*m + 3. Let f be x(5). Factor -q - 4*q**f + 6*q**3 - q**3.
q*(q - 1)*(q + 1)
Factor 19*j**2 - 6*j**2 - 6*j**2 - 6*j**2 + 6*j + 9.
(j + 3)**2
Let g(i) = 2*i**3 + 6*i**2 + 2. Let v be g(-3). Factor 0 + 1/2*n**v - n.
n*(n - 2)/2
Let j be (-5 + 7)*(-6)/(-9). Solve 2*x**4 + 2/3*x**3 - j - 6*x - 6*x**2 = 0.
-1, -1/3, 2
Let v(u) be the first derivative of 13/4*u**4 - 7/4*u**2 + u - 5 + 7/4*u**6 - 2*u**3 + 5*u**5. Find f such that v(f) = 0.
-1, 2/7, 1/3
Let r(x) = 5*x**3 - 6*x**2 - 6*x + 6. Let v(i) = 4*i**3 - 5*i**2 - 5*i + 5. Let z(f) = 5*r(f) - 6*v(f). Determine q so that z(q) = 0.
0
Let u(k) be the second derivative of k**4/54 + 11*k**3/27 - 4*k**2/3 + 29*k. Factor u(y).
2*(y - 1)*(y + 12)/9
Factor 2/5*z + 0 + 1/5*z**3 + 3/5*z**2.
z*(z + 1)*(z + 2)/5
Let q(x) be the third derivative of 0*x**3 - 1/24*x**4 + 0 - x**2 - 1/120*x**6 + 1/30*x**5 + 0*x. Determine b, given that q(b) = 0.
0, 1
Let x(i) be the second derivative of -i**6/2160 - i**5/360 - i**3/2 - 6*i. Let s(a) be the second derivative of x(a). Factor s(d).
-d*(d + 2)/6
Let u be (20/15)/(2/6). Suppose 0 = -v - 3*s + 5, -v - u*v + 6 = -4*s. Factor -2*d**4 - 2/3*d**v - 2*d**3 + 0*d + 0 - 2/3*d**5.
-2*d**2*(d + 1)**3/3
Let d(o) be the third derivative of o**5/20 - 3*o**4/8 + o**3 - 3*o**2. Suppose d(u) = 0. What is u?
1, 2
Let j(b) be the first derivative of -2*b**5/35 + b**4/14 - 26. Factor j(w).
-2*w**3*(w - 1)/7
Suppose -2*s + 6*s = 2*s. Let n(l) be the third derivative of 0*l + 0 + 0*l**4 + s*l**3 + l**2 + 1/60*l**5. Factor n(a).
a**2
Let n(h) be the third derivative of -h**6/180 - h**5/45 + h**4/36 + 2*h**3/9 + 4*h**2. Let n(b) = 0. Calculate b.
-2, -1, 1
Let j(q) = -4*q**2 - q. Let l(d) be the first derivative of -d**3/3 + 3. Let k(z) = -2*j(z) + 10*l(z). Factor k(w).
-2*w*(w - 1)
Let m(h) be the second derivative of -h**4/3 - 4*h**3 - 10*h**2 - 3*h. Factor m(l).
-4*(l + 1)*(l + 5)
Let w(k) be the third derivative of 7*k**7/1080 - 7*k**6/540 + k**5/90 + k**4/12 - 2*k**2. Let l(c) be the second derivative of w(c). Factor l(q).
(7*q - 2)**2/3
Let n(k) = -k**3 + k**2 + 2*k - 1. Let o(f) = f. Let z(j) = n(j) - o(j). Factor z(l).
-(l - 1)**2*(l + 1)
Let o(s) be the second derivative of s**6/30 + 4*s**5/15 + 2*s**4/3 + 5*s**3/6 + s. Let a(c) be the second derivative of o(c). Determine l so that a(l) = 0.
-2, -2/3
Find p such that -26/7*p**3 + 12/7*p**4 - 2/7*p**5 - 8/7*p + 24/7*p**2 + 0 = 0.
0, 1, 2
Let z(l) be the second derivative of -l**7/210 - l**6/75 + l**4/30 + l**3/30 - 10*l. Determine s, given that z(s) = 0.
-1, 0, 1
Factor -5*j**2 - j**3 - j**2 - 4 + 3*j**3 + 10*j - 2*j**2.
2*(j - 2)*(j - 1)**2
Let d be 2 + (99/(-21) - -3). Suppose -5*w + 4*u + 22 = -1, 4*u + 8 = 0. Factor 2/7*v - 2/7*v**4 - d*v**w + 0 + 2/7*v**2.
-2*v*(v - 1)*(v + 1)**2/7
Let m(f) be the first derivative of -f**6/180 + f**5/90 + 2*f**2 - 5. Let r(j) be the second derivative of m(j). Solve r(b) = 0 for b.
0, 1
Suppose -5*l - 5*p - 25 = -2*l, -4*l + p + 5 = 0. Factor 4/5*q**2 + 0*q + l*q**3 - 2/5*q**4 - 2/5.
-2*(q - | {
"pile_set_name": "DM Mathematics"
} |
19977*h*q**2 wrt h?
80*h**3*q + 12924*h**2*q**2
Find the second derivative of 2*t**4 - 36*t**3 - 5*t**2 - 5*t + 28498 wrt t.
24*t**2 - 216*t - 10
Find the third derivative of -1953936*s**3*w**2 + 237*s**2*w**2 - 8786*s**2 wrt s.
-11723616*w**2
What is the derivative of -203771*x - 874067 wrt x?
-203771
What is the second derivative of -16*c*h*n**2 + 50*c*h*n + 477*c*h - 445*c*n**2 + 24*n**2 - n wrt n?
-32*c*h - 890*c + 48
Find the second derivative of -58*c**3 + 212*c**2 + c + 2551 wrt c.
-348*c + 424
What is the derivative of i**2*k**2*l - i**2*k - 104*i**2 + 33593*k**2*l - 42*k**2 wrt l?
i**2*k**2 + 33593*k**2
What is the third derivative of 27*b**4*o*y - b**3*o*y - 3*b**3*o - 967*b**2*o*y + b*o*y - o*y - 2*o wrt b?
648*b*o*y - 6*o*y - 18*o
Find the second derivative of -36141*j*y**3 + 4*j*y**2 + j*y + 625136*y wrt y.
-216846*j*y + 8*j
What is the second derivative of -3*a**2*h**3 + 604*a**2*h**2*p**3 - a**2 - 831*a*h**3 + 10*a*h*p**3 - 2*h**3*p**3 wrt a?
-6*h**3 + 1208*h**2*p**3 - 2
Find the second derivative of 785936*c**2*i + 21*c*i - 16*i - 4 wrt c.
1571872*i
Find the first derivative of -2486*z**2 - 24420 wrt z.
-4972*z
What is the third derivative of 2*a**6 - 8758*a**3 - 34210*a**2?
240*a**3 - 52548
Differentiate 184536*h**3 + 68323.
553608*h**2
Find the second derivative of -2509*f**3*j**2*o + 103*f**3*j*o**2 - 29*f**3*j*o + f*j**2*o**2 + 3*f*j*o**2 wrt j.
-5018*f**3*o + 2*f*o**2
What is the second derivative of 83*n**4 + 93*n**2 + 33721*n wrt n?
996*n**2 + 186
Find the second derivative of -65369*c**2 - 120307*c wrt c.
-130738
Find the second derivative of -106289*l**3 + 919081*l + 2 wrt l.
-637734*l
Find the third derivative of 4114*l**4 + 45*l**3 + 94*l**2 + 436*l.
98736*l + 270
Find the second derivative of 96*f**5*v**3 - 9115*f**2*v**3 - 2*f*v**2 - f - 4*v**3 - 1058*v - 7 wrt f.
1920*f**3*v**3 - 18230*v**3
Differentiate -313*i**4*m - 12*i**2*m**3 - 20*i - 541*m**3 + 87*m + 3 wrt i.
-1252*i**3*m - 24*i*m**3 - 20
Find the second derivative of 1450*m**2*r**3 + 2*m**2 + 7*m*r**3 - 110*m*r - r**2 + r wrt m.
2900*r**3 + 4
Find the second derivative of 51402*t**3 + 10859*t wrt t.
308412*t
Find the first derivative of -b**3*o**2 + 67044*b**3 - b + 185554*o**3 wrt o.
-2*b**3*o + 556662*o**2
What is the second derivative of 2*t*x**4 - 9309*t*x**3 + t*x - t + 147*x wrt x?
24*t*x**2 - 55854*t*x
What is the derivative of -463611*n - 969430 wrt n?
-463611
What is the second derivative of 2*a**3*u**3 + 184*a**2*u**3 - 8*a**2*u*v + 33*a*u**3*v - 2*a*u**2 - 5*u**2*v wrt a?
12*a*u**3 + 368*u**3 - 16*u*v
Find the third derivative of 44*b**4*f + 2*b**4 + 28*b**3 - 37*b**2*f - 2*b + 64 wrt b.
1056*b*f + 48*b + 168
Differentiate 33697*z - 41551.
33697
Find the first derivative of 2*p**3 - 2*p**2 - 1074951*p + 3904857.
6*p**2 - 4*p - 1074951
What is the third derivative of 3*n**4 + 198518*n**3*r**2 + 87*n**2*r**2 + 4193*n**2*r + 2*n*r**2 wrt n?
72*n + 1191108*r**2
What is the third derivative of -71431*m**6 + 14*m**2 + 127*m - 3 wrt m?
-8571720*m**3
Find the second derivative of -3*i**5 - 15438*i**4 + 191384*i + 2.
-60*i**3 - 185256*i**2
What is the third derivative of -24622*d**5 + 2*d**4*r - d**2*r - 2*d**2 + 9*d - 81*r wrt d?
-1477320*d**2 + 48*d*r
Find the third derivative of -1535*b*j**2*o**3 + 13*b*j**2*o**2 + 47*b*j*o - 3*b*o**3 + b*o**2 + 7*b + 2*j**2*o**3 - 4*j*o wrt o.
-9210*b*j**2 - 18*b + 12*j**2
What is the derivative of 775809*q - 2119569 wrt q?
775809
Find the second derivative of -33*l**5 - 324*l**3 - l**2 - 22999*l wrt l.
-660*l**3 - 1944*l - 2
What is the third derivative of -1019004*k**6 + 18*k**2 - 48391*k wrt k?
-122280480*k**3
What is the second derivative of 110*n**4 + 2599*n**2 + 41390*n?
1320*n**2 + 5198
What is the second derivative of -r**4 + 3*r**3 + 356*r**2 - 144823*r?
-12*r**2 + 18*r + 712
Find the first derivative of -340718*y**2 + 748582.
-681436*y
What is the third derivative of 3*c**3*x**3 - 31*c**3*x + 5548*c**3 - 2*c**2*x**3 + 8943*c**2*x**2 - 53 wrt c?
18*x**3 - 186*x + 33288
Find the second derivative of 42*d*t**2 + 2*d*t - 5308*t**2 - t + 17209 wrt t.
84*d - 10616
What is the third derivative of 110887*o**4 + 1529*o**2 + 2?
2661288*o
Find the second derivative of -6*o**4 + 65*o**3 - 27*o**2 - 26*o + 7898.
-72*o**2 + 390*o - 54
What is the third derivative of 197*h**4*t + h**4 + 7*h**3*t**3 + 33586*h**2*t**3 - 3*h*t**3 wrt h?
4728*h*t + 24*h + 42*t**3
Find the first derivative of 2*f**3*z**3 + f**3 - 4525*f + 31814*z**4 + 2 wrt z.
6*f**3*z**2 + 127256*z**3
What is the derivative of 272256*w - 149389?
272256
Find the second derivative of -29380*r**3 + 29353*r.
-176280*r
Find the first derivative of 5147021*w + 239905 wrt w.
5147021
Differentiate -2*n*y**2 + 420*n + 2421*y**2 - 3 wrt y.
-4*n*y + 4842*y
Find the third derivative of -35*b**5 + 748*b**3*y + 9*b**2*y + 19*b**2 - 10 wrt b.
-2100*b**2 + 4488*y
Differentiate 46144*p**2*x**3 - 6*p**2*x + x**3 + 65*x + 2482 with respect to p.
92288*p*x**3 - 12*p*x
Find the second derivative of 2018339*b**3 + 2607860*b wrt b.
12110034*b
What is the second derivative of -5120*c**3 + 30*c**2 + 330497*c wrt c?
-30720*c + 60
What is the third derivative of 105628*d**2*m**3 + 2*d**2*m**2 - 221*d**2*m + 15 wrt m?
633768*d**2
Differentiate -32296*n + 40048.
-32296
Find the third derivative of -22591*n*p**2*w**2 - n*p**2 - 517*n*w**3 + 3*p**2*w**3 wrt w.
-3102*n + 18*p**2
Find the second derivative of 55*k**5*n - 235*k**3 + 13*k*n + 2014*n + 1 wrt k.
1100*k**3*n - 1410*k
What is the derivative of 13*s**2*w**4 + 4*s**2 + 1441*s*w**3 - s - 377 wrt w?
52*s**2*w**3 + 4323*s*w**2
What is the third derivative of -450771*a**3 + 3*a**2 + 5453*a - 2?
-2704626
What is the first derivative of 6*f**2*g**2 + f**2 + 716*f*g**3 - 448477 wrt g?
12*f**2*g + 2148*f*g**2
Differentiate -33698*s**3 + 48778 wrt s.
-101094*s**2
Differentiate 491097*p**2 + 149518 with respect to p.
982194*p
What is the third derivative of 506878*r**4 - 1602074*r**2?
12165072*r
Find the third derivative of -1034622*w**6 - 2*w**2 - 3*w + 22102 wrt w.
-124154640*w**3
Find the second derivative of 2690177*z**5 - 3028940*z wrt z.
53803540*z**3
What is the derivative of 1754386*c + 434581?
1754386
Find the second derivative of 814268*d**2*p**2 - 605*d*p**2 + 1872*d*p wrt d.
1628536*p**2
Find the second derivative of -8426*l**2*z**2 + 3*l**2*z + 11*l**2 - 4*l*z + 29*l + 2*z**2 wrt z.
-16852*l**2 + 4
Find the third derivative of -116704*i**5 - i**4 + 3*i**3 - 1893274*i**2 wrt i.
-7002240*i**2 - 24*i + 18
Find the third derivative of -1165*d**2*p**3*r**2 + 2*d**2*p**2*r - 10188*d**2*r + 145*d*p**3*r**2 - 104*d*p*r**2 wrt p.
-6990*d**2*r**2 + 870*d*r**2
Differentiate 27*i**3 + 26627*i**2 + 1920391 with respect to i.
81*i**2 + 53254*i
Find the second derivative of 6937*q**2 + 67*q - 189 wrt q.
13874
What is the second derivative of 2411448*c**4 + 1307352*c wrt c?
28937376*c**2
What is the third derivative of -159739*w**4 - 83*w**2 - 34*w - 7 wrt w?
-3833736*w
What is the first derivative of -59542*u + 14364 wrt u?
-59542
What is the third derivative of -69*b**6 - 1017*b**4 + 348839*b**2 wrt b?
-8280*b**3 - 24408*b
What is the second derivative of -150535*x**5 - 863*x - 7?
-3010700*x**3
What is the third derivative of 37315*b**2*i**6 - b**2*i**2 + 5294*b**2 - 2*b*i**2 - i**2 wrt i?
4477800*b**2*i**3
What is the second derivative of -377183*h**2*q**3 - 9*h*q + 4*h - 35*q**3 + 6*q**2 wrt h?
-754366*q**3
Find the second derivative of 6*q**3 + 31412*q**2 - 5587*q + 1 wrt q.
36*q + 62824
What is the third derivative of 110*i**2*r**3 + 81*i**2*r**2 + i**2*r - 15*i*r**3 + 44*r**3 + 13*r**2 wrt r?
660*i**2 - 90*i + 264
Find the third derivative of -d*h**5 - 194*d - 14*h**5 + 15965*h**3 + 1027*h**2 wrt h.
-60*d*h**2 - 840*h**2 + 95790
Find the first derivative of -16768*c + 144474 wrt c.
-16768
Differentiate -101750*j**4 + 26382 with respect to j.
-407000*j**3
What is the derivative of 2*n**3*q*s + 13*n**3*q + 4540*n*q*s + 2*n*q + 79*q wrt s?
2*n**3*q + 4540*n*q
What is the third derivative of -5*p**3*v**3 - 2*p**3*v - 199450*p**2*v**3 + 1598887*p**2*v**2 + 2*p*v**3 + 2*v**2 wrt v?
-30*p**3 - 1196700*p**2 + 12*p
What is the derivative of 16454*g**3*y - 50744*g**3 wrt y?
16454*g**3
What is the third derivative of -d**4*x + d**4 - 847*d**3*x | {
"pile_set_name": "DM Mathematics"
} |
ijjjjjjj?
1/20
Four letters picked without replacement from {v: 3, o: 7}. Give prob of sequence vovv.
1/120
Calculate prob of sequence cvv when three letters picked without replacement from cvcccvcvvc.
1/10
What is prob of sequence att when three letters picked without replacement from aataaaaataaaa?
1/78
What is prob of sequence xgu when three letters picked without replacement from ussfsgx?
1/210
Calculate prob of sequence fccq when four letters picked without replacement from {z: 6, q: 2, c: 4, f: 1, l: 2}.
1/1365
Four letters picked without replacement from yhdynynhynnkyyd. What is prob of sequence dynn?
2/455
Three letters picked without replacement from {a: 1, n: 3, b: 5, f: 3, i: 5, z: 1}. What is prob of sequence fnf?
1/272
Four letters picked without replacement from rrrrgrrrrrrre. What is prob of sequence rreg?
1/156
Three letters picked without replacement from {e: 1, l: 1, n: 1, o: 2, g: 1, y: 1}. Give prob of sequence oeg.
1/105
Calculate prob of sequence mdmm when four letters picked without replacement from dddddmmddddddddm.
1/560
Four letters picked without replacement from dbbbdabadbbbdababbd. Give prob of sequence dadb.
25/2907
Three letters picked without replacement from awgcf. Give prob of sequence wcc.
0
Calculate prob of sequence cu when two letters picked without replacement from ucccqqq.
1/14
Four letters picked without replacement from {z: 3, f: 2}. Give prob of sequence zffz.
1/10
Three letters picked without replacement from {v: 7, b: 1, g: 3, n: 4, z: 2}. What is prob of sequence nvz?
7/510
Three letters picked without replacement from bjnnjnsnntbsnsx. What is prob of sequence xjs?
1/455
Three letters picked without replacement from {y: 2, b: 6}. Give prob of sequence yyb.
1/28
Two letters picked without replacement from {v: 5, o: 4, k: 8}. What is prob of sequence vk?
5/34
Three letters picked without replacement from bygpl. What is prob of sequence gyy?
0
Four letters picked without replacement from {b: 10}. Give prob of sequence bbbb.
1
Calculate prob of sequence fhf when three letters picked without replacement from {k: 4, h: 4, m: 1, s: 3, f: 3, l: 5}.
1/285
Two letters picked without replacement from mltiptix. What is prob of sequence pl?
1/56
Two letters picked without replacement from pkorrskhokrrrhkpk. Give prob of sequence pr.
5/136
Calculate prob of sequence aa when two letters picked without replacement from {o: 2, p: 1, l: 1, a: 3}.
1/7
What is prob of sequence zz when two letters picked without replacement from {h: 1, a: 1, e: 1, z: 5, q: 3, b: 3}?
10/91
Calculate prob of sequence ixz when three letters picked without replacement from rixppiwppxiziip.
1/273
Calculate prob of sequence ii when two letters picked without replacement from ijibibiibgggbiib.
7/40
Four letters picked without replacement from plliliprlirl. What is prob of sequence plpr?
1/594
Three letters picked without replacement from {r: 3, j: 7, o: 7, c: 2, v: 1}. Give prob of sequence jjv.
7/1140
What is prob of sequence xk when two letters picked without replacement from {k: 1, s: 7, x: 3, w: 1}?
1/44
Calculate prob of sequence nvvn when four letters picked without replacement from {n: 5, v: 7}.
7/99
Two letters picked without replacement from {f: 4, b: 7}. Give prob of sequence bb.
21/55
What is prob of sequence xxs when three letters picked without replacement from ngxnggttxsxx?
1/110
Four letters picked without replacement from krkllrrrllqrq. Give prob of sequence lrlr.
2/143
Two letters picked without replacement from eezieax. What is prob of sequence ze?
1/14
What is prob of sequence nmhn when four letters picked without replacement from {w: 2, n: 4, d: 3, h: 3, k: 6, m: 1}?
1/2584
Three letters picked without replacement from wbb. Give prob of sequence bwb.
1/3
Three letters picked without replacement from ooonooldo. Give prob of sequence ndl.
1/504
Two letters picked without replacement from {i: 1, u: 2}. What is prob of sequence ui?
1/3
Two letters picked without replacement from thjhh. What is prob of sequence hj?
3/20
Two letters picked without replacement from {k: 1, x: 1, o: 1, f: 1, p: 1}. Give prob of sequence kp.
1/20
What is prob of sequence tblt when four letters picked without replacement from {b: 7, l: 8, t: 2, p: 1}?
7/4590
What is prob of sequence ss when two letters picked without replacement from dshqdhshshssdhssh?
21/136
Two letters picked without replacement from {x: 1, q: 6, f: 3, u: 3, l: 1}. What is prob of sequence xl?
1/182
Four letters picked without replacement from {o: 4, l: 4, n: 5, m: 1, g: 3, u: 1}. Give prob of sequence ggmu.
1/12240
What is prob of sequence nu when two letters picked without replacement from {u: 2, n: 3, e: 3, j: 9}?
3/136
Calculate prob of sequence nne when three letters picked without replacement from ednnenndnnnndnneenng.
22/285
Two letters picked without replacement from {p: 2, u: 6, f: 2, m: 3, z: 2}. What is prob of sequence mu?
3/35
Calculate prob of sequence hmc when three letters picked without replacement from mmmdddmdchmcmmmm.
3/560
What is prob of sequence qrlr when four letters picked without replacement from {q: 4, l: 6, r: 9}?
6/323
Three letters picked without replacement from {g: 4}. What is prob of sequence ggg?
1
Four letters picked without replacement from xcxximxix. Give prob of sequence ixxm.
5/378
What is prob of sequence vtqv when four letters picked without replacement from vvvwvtjjvvvvtvvvvvvq?
91/29070
Three letters picked without replacement from {l: 4, d: 4, j: 1, w: 3, g: 1, y: 5}. Give prob of sequence ldw.
1/102
Three letters picked without replacement from {m: 1, t: 2, l: 3, b: 2, g: 3, z: 3}. Give prob of sequence llg.
3/364
Calculate prob of sequence zhc when three letters picked without replacement from xxhxxhhxxxcxcxzx.
1/560
Two letters picked without replacement from {k: 4, p: 2, r: 1, l: 1, q: 3}. What is prob of sequence kp?
4/55
Four letters picked without replacement from {b: 2, u: 1, p: 1, o: 1, z: 2, q: 1}. Give prob of sequence buzz.
1/420
Four letters picked without replacement from mwwmemmmwwmbmwmmp. What is prob of sequence memw?
3/476
What is prob of sequence rr when two letters picked without replacement from {b: 3, r: 5, c: 1, x: 7}?
1/12
Three letters picked without replacement from {p: 1, v: 4, y: 2, s: 1}. What is prob of sequence vys?
1/42
Four letters picked without replacement from iliiiiiilkeiili. What is prob of sequence keii?
1/364
Two letters picked without replacement from {b: 1, z: 1, o: 4, c: 3, n: 4}. What is prob of sequence nb?
1/39
Calculate prob of sequence le when two letters picked without replacement from {e: 1, l: 4, n: 7, t: 2}.
2/91
Four letters picked without replacement from {o: 2, f: 2, u: 4, i: 1, q: 9, t: 2}. Give prob of sequence ftfo.
1/14535
Calculate prob of sequence bop when three letters picked without replacement from pepeobpoopbeoeepo.
5/408
Calculate prob of sequence zyyy when four letters picked without replacement from vyvyvzzvzvzzyzzzyzz.
5/1938
Calculate prob of sequence oooo when four letters picked without replacement from vvovo.
0
Four letters picked without replacement from xjjnjjnnjjn. Give prob of sequence xjjj.
1/66
Four letters picked without replacement from ldbtbdttbtbldldf. Give prob of sequence dlft.
1/910
Three letters picked without replacement from {d: 1, u: 2, g: 4, o: 1}. Give prob of sequence uud.
1/168
Three letters picked without replacement from pqozdoopopqqpp. Give prob of sequence qoz.
1/182
Two letters picked without replacement from {y: 1, x: 6, t: 3, j: 1, v: 1}. What is prob of sequence jt?
1/44
Two letters picked without replacement from {d: 4, s: 4, i: 1, l: 2, j: 7}. Give prob of sequence ss.
2/51
Three letters picked without replacement from {o: 4, y: 1, r: 1, p: 1, q: 2}. What is prob of sequence pro?
1/126
Four letters picked without replacement from {k: 4}. Give prob of sequence kkkk.
1
Three letters picked without replacement from {x: 3, m: 9}. What is prob of sequence xmm?
9/55
Calculate prob of sequence bjom when four letters picked without replacement from {m: 1, o: 9, b: 1, j: 5}.
3/2912
Two letters picked without replacement from {u: 2, e: 1, a: 3, q: 1}. What is prob of sequence qu?
1/21
What is prob of sequence gnhn when four letters picked wi | {
"pile_set_name": "DM Mathematics"
} |
(50).
-158
Let p(j) = 9*j**2 - 34*j - 8. Give p(7).
195
Let x(m) = -m**3 + 2*m**2 - 14*m - 39. Determine x(-2).
5
Let p(v) = 5*v**3 - 39*v**2 + 30*v - 18. What is p(7)?
-4
Let y(w) = 14*w**2 + 1973*w - 147. What is y(-141)?
-6
Let x(q) = -q**3 - 37*q**2 + 49*q + 437. What is x(-38)?
19
Let r(y) = -220*y**2 + 1326*y + 3. Give r(6).
39
Let k(c) = -165*c + 1057. Give k(6).
67
Let j(b) = 2393*b - 4758. Determine j(2).
28
Let h(l) = -l**2 - 18*l - 45. Determine h(-7).
32
Let i(d) = -d**3 + 12*d**2 - 29*d - 6. Calculate i(12).
-354
Let v(a) = -14*a + 159. Determine v(12).
-9
Let j(i) = i**2 - 35*i + 81. What is j(22)?
-205
Let d(c) = 4*c**2 - 112*c + 214. Give d(26).
6
Let k(t) = -t + 4. Determine k(-10).
14
Let l(o) = -84*o + 754. Calculate l(9).
-2
Let u(j) = 86*j**2 - 8166*j - 380. Calculate u(95).
0
Let l(u) = u**2 - 141*u + 5027. What is l(73)?
63
Let v(i) = -i + 72. Calculate v(-7).
79
Let j(c) = -28*c + 248. Calculate j(9).
-4
Let x(q) = -q**3 + 45*q**2 + 99*q - 445. Give x(47).
-210
Let r(c) = 7*c**2 - 12*c + 34. Determine r(8).
386
Let o(w) = -7*w**3 + 69*w**2 + 17*w - 23. Determine o(10).
47
Let r(b) = -b**3 + 8*b**2 - 19*b + 28. What is r(5)?
8
Let v(u) = 19*u - 173. Give v(7).
-40
Let g(f) = f**2 - 82*f - 14187. What is g(-85)?
8
Let j(h) = -28*h**3 - 12*h**2 - 3*h + 11. Determine j(-1).
30
Let v(c) = -5*c**2 - 93*c - 266. Give v(-15).
4
Let x(u) = -u**3 + 5*u**2 - 15. Give x(6).
-51
Let y(m) = 216*m - 47306. Calculate y(219).
-2
Let k(j) = j**3 - 4*j**2 - 102*j - 286. Give k(-5).
-1
Let s(n) = -489*n + 1474. What is s(3)?
7
Let n(z) = z**3 - 5*z**2 + 2*z + 48. What is n(-4)?
-104
Let c(o) = o**3 + 44*o**2 + 45*o + 167. What is c(-43)?
81
Let v(g) = -6*g**3 + 1. Calculate v(1).
-5
Let y(i) = i**3 - 31*i**2 - 50*i - 530. What is y(33)?
-2
Let u(n) = n**3 - 40*n**2 - 159*n + 1296. Give u(43).
6
Let z(v) = -v**3 + 6*v**2 - 103*v + 950. Calculate z(8).
-2
Let y(f) = 3*f + 1. Determine y(2).
7
Let n(i) = -i**3 - 13*i**2 - 27*i - 25. What is n(-11)?
30
Let z(g) = g**2 + 118*g + 468. Give z(-4).
12
Let c(i) = -3*i**2 - 80*i - 551. What is c(-12)?
-23
Let y(j) = j**3 + 10*j**2 + 54*j + 119. Determine y(-5).
-26
Let r(a) = 106*a - 1314. Calculate r(16).
382
Let y(n) = 3*n**2 + 71*n + 545. Calculate y(-13).
129
Let x(w) = w**3 - 36*w**2 + 67*w + 109. What is x(34)?
75
Let o(s) = 41*s + 322. What is o(-8)?
-6
Let r(b) = 5*b**2 + 7*b - 26. Calculate r(2).
8
Let f(s) = -s**3 - s**2 - 47*s - 449. Give f(-7).
174
Let j(h) = -3821*h - 42032. What is j(-11)?
-1
Let j(x) = -745*x - 1617. What is j(-2)?
-127
Let w(z) = -67*z + 2008. Determine w(30).
-2
Let j(q) = 142*q**3 + q**2 + 11*q - 11. What is j(1)?
143
Let c(g) = 6*g**2 + 236*g - 178. Calculate c(-40).
-18
Let v(z) = 1249*z - 5. Determine v(0).
-5
Let z(m) = 3*m**3 - 321*m**2 + m - 145. What is z(107)?
-38
Let g(k) = 3*k**2 - 44*k - 24. Determine g(16).
40
Let m(i) = -4*i**3 + 7*i**2 + 11*i - 28. Give m(6).
-574
Let l(i) = 2*i**2 + 51*i + 126. Give l(-23).
11
Let y(t) = -10*t**2 + 205*t - 68. Give y(20).
32
Let j(c) = 12*c + 44. Determine j(-5).
-16
Let t(k) = -59*k + 389. Give t(6).
35
Let m(y) = -13*y**2 + 961*y + 67. What is m(74)?
-7
Let f(h) = 161*h - 22864. Give f(142).
-2
Let v(n) = -4*n**3 + 2*n**2 + 20*n - 3. Determine v(6).
-675
Let v(r) = -13*r + 454. Calculate v(36).
-14
Let z(g) = 2*g**2 - 6*g + 28. Give z(-5).
108
Let p(u) = -22*u**2 + 34*u + 246. Calculate p(-4).
-242
Let p(w) = -48*w**3 - w**2 - 4*w + 4. Calculate p(0).
4
Let n(o) = -4*o**2 - 24*o + 15. Calculate n(0).
15
Let m(w) = -w**3 + 3*w**2 + 60*w + 186. Determine m(-4).
58
Let c(d) = -16*d**2 - 2*d. What is c(-2)?
-60
Let m(r) = r**3 - 21*r**2 + r - 17. What is m(21)?
4
Let l(s) = -23*s**2 + 14*s - 20. Determine l(2).
-84
Let i(d) = d**2 + 4*d - 79. Determine i(7).
-2
Let c(z) = 1889*z - 5672. Give c(3).
-5
Let o(z) = 5*z**2 + 195*z + 56. Calculate o(-38).
-134
Let d(v) = -3*v**2 - 492*v + 6824. What is d(-177)?
-79
Let t(z) = 24373*z - 365595. Calculate t(15).
0
Let s(j) = j**3 + 34*j**2 - 66*j - 1133. What is s(-35)?
-48
Let h(s) = 2*s**2 + 98*s - 299. Calculate h(3).
13
Let u(r) = -2*r**2 - 34*r - 142. Give u(-10).
-2
Let g(a) = -4*a**3 + 2*a**2 + 8*a - 1. Determine g(-3).
101
Let s(q) = -3*q**2 - 67*q - 167. Calculate s(-3).
7
Let t(q) = 304*q + 3639. Determine t(-12).
-9
Let r(o) = 60*o**3 + o**2 - 22*o + 21. Calculate r(1).
60
Let i(u) = 35*u**2 - 249*u - 15. What is i(7)?
-43
Let s(g) = -g**3 - 76*g**2 + 16*g + 1218. What is s(-76)?
2
Let o(j) = -129*j - 240. Determine o(-2).
18
Let r(t) = 47*t**2 + 741*t - 41. What is r(-16)?
135
Let m(f) = -172*f**2 - 3. Give m(0).
-3
Let m(s) = 226*s**2 + 8*s + 9. Give m(-1).
227
Let g(q) = 6*q**3 - 3*q**2 - 6*q + 7. Determine g(-3).
-164
Let d(r) = r**2 + 17*r - 198. What is d(-25)?
2
Let r(z) = -27*z - 54. Calculate r(-9).
189
Let m(l) = l**2 - 75*l + 475. Give m(68).
-1
Let q(z) = -z**2 + 237*z - 8336. What is q(43)?
6
Let a(h) = -33*h**3 - 2*h**2 - h. Give a(-1).
32
Let b(t) = t**2 + 433*t + 46703. Calculate b(-203).
13
Let a(v) = v**3 + 18*v**2 - 23*v - 93. What is a(-19)?
-17
Let z(t) = -2*t**2 + 7*t - 1. Determine z(-7).
-148
Let v(x) = -8*x**3 - 119*x**2 + 14*x - 5. What is v(-15)?
10
Let p(o) = 3*o**2 + 146*o - 150. Determine p(-51).
207
Let q(l) = -l**3 + 19*l**2 - 27*l + 109. Give q(18).
-53
Let d(w) = 2*w**3 + 113*w**2 - 55*w + 111. Determine d(-57).
-3
Let a(t) = -t**2 + 14*t + 1360. Calculate a(43).
113
Let r(c) = -100*c**2 + 11*c. Determine r(-2).
-422
Let g(c) = -c**3 + 4*c**2 + 34*c - 84. What is g(8)?
-68
Let f(d) = -d**3 + 11*d**2 + 726*d + 1. Determine f(-22).
1
Let m(k) = k**3 + 17*k**2 + 50*k - 12. Determine m(-14).
-124
Let h(z) = 16*z - 243. Give h(39).
381
Let j(p) = p**3 - 30*p**2 - 61*p - 125. Determine j(32).
-29
Let w(j) = 2222*j + 84438. Calculate w(-38).
2
Let v(u) = -2*u**2 - 29*u + 222. What is v(-19)?
51
Let c(m) = -55*m + 2221. Calculate c(42).
-89
Let g(w) = -1177*w - 2356. Determine g(-2).
-2
Let n(s) = s**2 - 22*s + 118. Determine n(10).
-2
Let j(q) = -15*q**2 + 176*q - 22. Determine j(11).
99
Let m(u) = -540*u - 3239. Determine m(-6).
1
Let q(u) = -14*u + 108. Give q(24).
-228
Let s(l) = 280*l + 17061. Give s(-61).
-19
Let t(y) = 47*y - 538. Determine t(11).
-21
Let g(o) = 8*o**3 + 15*o**2 - 18*o + 2. Determine g(1).
7
Let a(k) = 3*k**2 - 659*k + 7475. Calculate a(12).
-1
Let k(s) = -10*s**2 + 14*s - 53. What is k(5)?
-233
Let l(g) = 2607*g + 5194. Determine l(-2).
-20
Let q(i) = 212*i - 8497. Give q(40).
-17
Let l(x) = 46*x - 1. Determine l(-6).
-277
Let n(u) = 164*u + 282. Give n(2).
610
Let r(k) = k**2 + 75*k + 1254. What is r(-29)?
-80
Let r(v) = 2768*v + 24909. What is r(-9)?
-3
Let z(v) = v**3 - 14*v**2 - 4*v + 90. Give z(14).
34
Let w(f) = 2*f**2 + 101*f - 371. What is w(-54)?
7
Let g(q) = -q**3 + 43*q**2 - 86*q + 169. Determine g(41).
5
Let v(u) = 2*u**2 - 313*u + 6684. Determine v(131).
3
Let d(c) = -3*c**3 + 44*c**2 - 6*c - 23. Calculate d(14).
285
Let j(n) = 11*n**2 + 24*n + 65. Give j(-3).
92
Let c(n) = 68*n**2 + 1159*n + 35. What is c(-17)?
-16
Let d(a) = 2*a**2 - 24*a - 25. Calculate d(13).
1
Let b(a) = 495*a + 3465. Calculate b(-7).
0
Let r(o) = 11*o + 1066. Calculate r(-97).
-1
Let r(d) = d**3 + 73*d**2 + 110*d - 2245. Calculate r(-71).
27
Let f(r) = 33*r - 1343. What is f(41)?
10
Let c(f) = 4*f**2 - 75*f + 112. What is c(17)?
-7
Let n(f) = -2*f**2 - 208*f + 6762. What is n(-130)?
2
Let b(c) = 2*c**2 + 12*c - 3. What is b(-2)?
-19
Let t(f) = -f**2 - 32*f - 233. Determine t(-8).
-41
Let n(x) = -x**3 - 18*x**2 + 36*x + 155. Determine n(-19).
-168
Let b(v) = -v**2 + 644*v - 3842. Determine b(6).
-14
Let o(x) = -29*x - 337. What is o(-11)?
-18
Let r(a) = -a**3 + 17*a**2 - 5*a + 20. Determine r(17).
-65
Let c(l) = -l**2 - 30*l - 234. Give c(-18).
-18
Let m(b) = -42*b - 559. Determine m(-13).
-13
Let w(v) = -v**3 - 18*v**2 + 231*v - 28. Determine w(8).
156
Let m(j) = -2*j**2 + 31*j - 23. Determine m(5).
82
Let t(k) = -37*k + 820. Give t(23).
-31
Let b(t) = -t**2 + 44*t - 74. What is b(42)?
10
Let m(q) = 615*q + 3072. What is m(-5)?
-3
Let n(p) = 3*p**3 - 8*p**2 - 11*p + 66. What is n(-6)?
-804
Let h(k) = -k**3 - 26*k**2 - 25*k - 39. Calculate h(-25).
-39
Let q(a) = -2*a**3 + 16*a**2 + 173*a - 1396. Give q(8).
-12
Let d(v) = -5*v* | {
"pile_set_name": "DM Mathematics"
} |
-11*o + 90 = 46 for o.
4
Solve 0 = h - 77*h for h.
0
Solve 82*c + 93*c - 1575 = 0 for c.
9
Solve 72 - 73 = -n for n.
1
Solve 402*x - 76 = 383*x for x.
4
Solve -61 + 73 = -3*w for w.
-4
Solve 8*f - 27 = -f for f.
3
Solve 117*j - 115*j + 2 = 0 for j.
-1
Solve 98*r - 97*r = -2 for r.
-2
Solve p - 22 = -21 for p.
1
Solve -j + 15*j = -14 for j.
-1
Solve -4*c - 5 = 11 for c.
-4
Solve 322*h + 21 = 329*h for h.
3
Solve -15*c - 38 = 22 for c.
-4
Solve 13*f + 21*f - 68 = 0 for f.
2
Solve 0 = 16*f - 25*f + 36 for f.
4
Solve -55 = -15*h - 10 for h.
3
Solve 152*r - 144*r = -32 for r.
-4
Solve -2*c + 15 = -7*c for c.
-3
Solve 0 = 22*f - 26*f + 4 for f.
1
Solve 6*a = 7 - 25 for a.
-3
Solve -968 - 392 = 136*v for v.
-10
Solve -15 = -11*v + 18 for v.
3
Solve -42 = -31*n - 11 for n.
1
Solve 111 = -4*t + 139 for t.
7
Solve 25*v - 9 = 41 for v.
2
Solve -49*y + 42*y - 21 = 0 for y.
-3
Solve -25*o + 12 = -28*o for o.
-4
Solve 11*t - 15*t - 20 = 0 for t.
-5
Solve 0 = -60*h + 61*h for h.
0
Solve -6*o + 27 = 9 for o.
3
Solve 11 = 2*d + 5 for d.
3
Solve -5*b = -20*b - 45 for b.
-3
Solve 2*l - 24 = -32 for l.
-4
Solve 10*b + 38 = -12 for b.
-5
Solve 3*y = -63 + 48 for y.
-5
Solve p - 9*p = -16 for p.
2
Solve 0 = s - 27 + 31 for s.
-4
Solve -42 = -12*x + 18 for x.
5
Solve 3519*l = 3520*l + 1 for l.
-1
Solve -43*y + 40 = -51*y for y.
-5
Solve -1526*z + 1523*z = 15 for z.
-5
Solve 32*d = -64*d - 480 for d.
-5
Solve 6*t + 1 = -47 for t.
-8
Solve 8 = 4*q + 28 for q.
-5
Solve 16 = -r - 7*r for r.
-2
Solve 2*q - 3*q = 0 for q.
0
Solve 418*t + 16 = 414*t for t.
-4
Solve 5*n = 46 - 41 for n.
1
Solve -21 = 19*s - 12*s for s.
-3
Solve -7*s + 6*s + 3 = 0 for s.
3
Solve 11 = -8*u - 29 for u.
-5
Solve 0 = 14*h + 2*h for h.
0
Solve -36*b + 18 = -18*b for b.
1
Solve 0 = -6*q + 69 - 87 for q.
-3
Solve 11 = 2*w + 19 for w.
-4
Solve 0*j - 5*j + 10 = 0 for j.
2
Solve 96 = -26*u - 6*u for u.
-3
Solve -30*k = -28*k for k.
0
Solve 18*z = 7*z + 7*z for z.
0
Solve -9*x - 204 = 42*x for x.
-4
Solve -3 + 23 = -4*d for d.
-5
Solve 13*q = 27*q for q.
0
Solve -3*a = -85 + 91 for a.
-2
Solve -25 + 9 = 4*m for m.
-4
Solve 43 - 49 = -2*i for i.
3
Solve 11*m = -160 + 116 for m.
-4
Solve -91 = 66*z + 173 for z.
-4
Solve -83 = -32*s - 307 for s.
-7
Solve -73*z = -64*z + 27 for z.
-3
Solve 3 = 5*t + 18 for t.
-3
Solve 181*x - 96 = 165*x for x.
6
Solve 2 = 5*t - 3 for t.
1
Solve 0 = v + 41 - 36 for v.
-5
Solve 24 = -j + 19 for j.
-5
Solve -12*r + 11*r = -1 for r.
1
Solve 23 = 5*b + 3 for b.
4
Solve 0 = -18*c + 120 - 66 for c.
3
Solve -32*o + 53*o = 84 for o.
4
Solve 2640 = 5*j + 2630 for j.
2
Solve 50*a - 45*a = -20 for a.
-4
Solve 16 = -35*i - 159 for i.
-5
Solve -9*m - 7 - 11 = 0 for m.
-2
Solve -3*k + 6*k + 4*k = 0 for k.
0
Solve 0 = -24*j + 21*j + 15 for j.
5
Solve -15 = -26*c - 171 for c.
-6
Solve -5*g + 26 = -18*g for g.
-2
Solve 41 = 6*f + 11 for f.
5
Solve 0 = 5*a - 41 + 36 for a.
1
Solve 0 = 6*b - 1011 + 993 for b.
3
Solve 5*b - 21 = 4 for b.
5
Solve 124*w - 132*w - 16 = 0 for w.
-2
Solve 39*z + 37 = -41 for z.
-2
Solve -48 - 30 = 13*j for j.
-6
Solve 0 = -15*k + 11 + 64 for k.
5
Solve -109 = -38*v + 157 for v.
7
Solve -179*t + 70 = -169*t for t.
7
Solve 10 + 26 = -9*q for q.
-4
Solve -27*m = -22*m + 5 for m.
-1
Solve 154*c - 156*c + 8 = 0 for c.
4
Solve 1 = p - 0*p for p.
1
Solve -11 = -7*z + 24 for z.
5
Solve 0 = -12*m + 1639 - 1567 for m.
6
Solve 4*b - 8 = -0 for b.
2
Solve 0 = -2711*k + 2700*k - 22 for k.
-2
Solve -10 = 28*c - 23*c for c.
-2
Solve 6*o - 14 = 4 for o.
3
Solve -11*h - 60 = 4*h for h.
-4
Solve -710*w + 718*w - 48 = 0 for w.
6
Solve 28 = -15*n - 2 for n.
-2
Solve -25*i = -34*i - 18 for i.
-2
Solve -11*l - 3*l = -70 for l.
5
Solve -7 = -9*v + 11 for v.
2
Solve 7*g - 21*g = 0 for g.
0
Solve -168*u + 3 = -167*u for u.
3
Solve 21*h + 116 = -8*h for h.
-4
Solve 232 = -16*b - 42*b for b.
-4
Solve -131 + 16 = -23*s for s.
5
Solve 0 = 55*j - 66 - 99 for j.
3
Solve -24*l + 68 = 164 for l.
-4
Solve 126 - 266 = 20*a for a.
-7
Solve 3*q + 6 = 15 for q.
3
Solve 0*q + 4 = -q for q.
-4
Solve 50*v - 20*v + 23*v = 0 for v.
0
Solve -80*q = -14 - 386 for q.
5
Solve -6*w + 15 + 21 = 0 for w.
6
Solve 78*x = 82*x + 20 for x.
-5
Solve 668 - 674 = 6*t for t.
-1
Solve -8*p + 188 = -55*p for p.
-4
Solve -6*n = 20 + 10 for n.
-5
Solve 242*r - 261*r = -38 for r.
2
Solve 10*m + 21*m + 186 = 0 for m.
-6
Solve -4*i = -0*i + i for i.
0
Solve 174*n = 159*n + 30 for n.
2
Solve 76*m = 74*m - 4 for m.
-2
Solve 41*l - 44 = 30*l for l.
4
Solve -4*r + 174 - 162 = 0 for r.
3
Solve 7*d - 2*d = -5 for d.
-1
Solve 291*u = 269*u - 88 for u.
-4
Solve 0 = -6*c + 171 - 201 for c.
-5
Solve 13*b - 9*b - 16 = 0 for b.
4
Solve -14*q + 14 = -7*q for q.
2
Solve r - 7*r = 0 for r.
0
Solve 0 = -4*t + 8*t + 8 for t.
-2
Solve 0 = -8*f + 36 - 60 for f.
-3
Solve -15 = -26*d - 41 for d.
-1
Solve 1067 = -14*u + 1207 for u.
10
Solve 2*s - 16 = -26 for s.
-5
Solve 170 = -11*s - 23*s for s.
-5
Solve 11*n = n + 10 for n.
1
Solve -47*l + 35*l + 60 = 0 for l.
5
Solve -1541*n = -1538*n + 18 for n.
-6
Solve -4*s = 5*s - 27 for s.
3
Solve -7 = -0*j - 7*j for j.
1
Solve -48 + 54 = 3*a for a.
2
Solve 0 = -8*o + 49*o + 246 for o.
-6
Solve 2*f = -6 - 2 for f.
-4
Solve 2*w - 157 + 153 = 0 for w.
2
Solve 19*s + 4*s + 138 = 0 for s.
-6
Solve -6*a + 24 = -0 for a.
4
Solve 0 = 90*p - 100*p - 90 for p.
-9
Solve 0 = -0*h - 7*h - 14 for h.
-2
Solve -74*u + 105 = -59*u for u.
7
Solve 0 = 1294*o - 1281*o - 13 for o.
1
Solve 14 = 2*r + 20 for r.
-3
Solve -20*c - 6*c - 104 = 0 for c.
-4
Solve -13*h - 8*h = -168 for h.
8
Solve -8 + 13 = 5*b for b.
1
Solve -2*d - 17 = -13 for d.
-2
Solve 14*f = 285 - 187 for f.
7
Solve 33*r - 52 = -19 for r.
1
Solve 0 = -4*a - 30 + 22 for a.
-2
Solve 16*l = 106 - 58 for l.
3
Solve -54*j + 42 = -228 for j.
5
Solve 19*d - 31*d - 60 = 0 for d.
-5
Solve 0 = -32*o - 12*o - 176 for o.
-4
Solve -234 = -2*w - 248 for w.
-7
Solve -7*l + 3*l = 4 for l.
-1
Solve -272 = 64*q + 112 for q.
-6
Solve 153 = -735*l + 752*l for l.
9
Solve 20 = -13*c + 9*c for c.
-5
Solve 92*g - 28 = 78*g for g.
2
Solve 11*x - 28 - 5 = 0 for x.
3
Solve 0*n - n = 5 for n.
-5
Solve 5*w - 20*w = 60 for w.
-4
Solve 126*z + 306 = 75*z for z.
-6
Solve 593*g - 621*g - 28 = 0 for g.
-1
Solve 3*m + 38 - 41 = 0 for m.
1
Solve -5*f + 105 = 110 for f.
-1
Solve -14*f + 1 = -13*f for f.
1
Solve -15 = -0*c + 3*c for c.
-5
Solve -2*o - 29 = -25 for o.
-2
Solve -17*x + 148 = 20*x for x.
4
Solve -9*d + 1200 = 1236 for d.
-4
Solve -9*o + 8 = -o for o.
1
Solve 19*x - 92 = 42*x for x.
-4
Solve 8*k - 18 - 6 = 0 for k.
3
Solve -1009 = -17*j - 1043 for j.
-2
Solve 383*y + 3 = 386*y for y.
1
Solve 9*z - 3*z - 6 = 0 for z.
1
Solve -20 = 5*h - 15 for h.
-1
Solve 2*a + 55 - 65 = 0 for a.
5
Solve 32*l - 29 + 125 = 0 for l.
-3
Solve 42*c - 89 = -509 for c.
-10
Solve 0*b - 4*b = -4 for b.
1
Solve -120 = 30*j - 180 for j.
2
Solve -123*c + 125*c - 2 = 0 for c.
1
Solve 0 = -57*q + 58*q - 1 for q.
1
Solve 4*k + 9 = -7 for k.
-4
Solve -2*o + 20 = -12*o for o.
-2
Solve 19*u - 27*u - 16 = 0 for u.
-2
Solve 0 = 16*c - 11*c - 40 for c.
8
Solve -11*s - 30 = 25 for s.
-5
Solve 115 = -2*i + 25*i for i.
5
Solve 10 = 7*i - 25 for i.
5
Solve -74*l - 15 = -79*l for l.
3
Solve 4 - 52 = 6*z for z.
-8
Solve 0 = -29*i + 3*i + 52 for i.
2
Solve -11*h = -12*h - 2 for h.
-2
Solve 53*l - 107 = 52 for l.
3
Solve 245 = -80*h + 5 for h.
-3
Solve 35*m + 3 = 38*m for m.
1
Solve 72*y - 18 = -306 for y.
-4
Solve 16*i - 22*i = -12 for i.
2
Solve 143*f + 14 = 157*f for f.
1
Solve 121*u = 125*u - 12 for u.
3
Solve 9*u - 8*u - 1 = 0 for u.
1
Solve 4 = f + 5 for f.
-1
Solve -9*u + 15 - 42 = 0 for u.
-3
Solve -65*a + 10 = -60*a for a.
2
Solve 15 = 21*c + 36 for c.
-1
Solve 0 = -22*q + 58*q + 144 for q.
-4
Solve 0 = -9*g + 43 - 61 for g.
-2
Solve -44 = 49*k - 60*k for k.
4
Solve 17*x + 12 = 20*x for x.
4
Solve 5*p - 10 + 10 = 0 for p.
0
Solve 0 = -12*m - 26 - 22 for m.
-4
Solve 150 = -3*d + 144 for d.
-2
Solve -6*n - 80 = -110 for n.
5
Solve 382*r - 372*r - 80 = 0 for r.
8
Solve -7*f + 88 = -29*f for f.
-4
Solve 323*m = 328*m for m.
0
Solve 0 = -811*q + 810*q + 6 for q.
6
Solve -93 = 2*d - 89 for d.
-2
Solve 156*c - 140*c = 0 for c.
0
Solve -13*f = -25 - 14 for f.
3
Solve 4*o = 11*o - 21 for o.
3
Solve 8*i + 17 = 1 for i.
-2
Solve - | {
"pile_set_name": "DM Mathematics"
} |
ate (-6)/(-8)*1*37/(-111).
-1/4
(-6)/(-9)*5*(-12)/200
-1/5
Calculate (20*(-1)/(-475))/(2/5).
2/19
What is ((-38)/(-456))/((-1)/(-4))?
1/3
Calculate (1/8)/((-1)/(-4)).
1/2
Calculate ((-8)/36)/((-8)/18).
1/2
What is (-50)/(-15)*27/315?
2/7
What is the value of 2/4*(-10)/(-25)?
1/5
Calculate -1*(9/(-1))/(-3).
-3
Evaluate (9/20)/((1122/(-85))/22).
-3/4
17*15/255*1*-3
-3
(14/42)/(2/(-30))
-5
Calculate ((-2)/(-78))/((-6)/(-36)).
2/13
Evaluate 3/((63/(-9))/(-14)).
6
Evaluate ((-19)/152)/(1/(-8)).
1
Calculate ((-4)/1)/(-56)*(-8)/6.
-2/21
What is the value of 176/(-66)*(-6)/(-4)?
-4
What is (-10)/2*(-24)/40?
3
What is the value of 1*(13/(-104))/(1/(-4))?
1/2
Evaluate (-1)/((-12)/(-8)*-2).
1/3
Calculate (1/(20/16))/(3/5).
4/3
Evaluate ((-115)/(-30))/23*18/4.
3/4
(2/4)/((-7)/(-14))
1
What is (-28)/(-21)*(6/4)/(-1)?
-2
-3*1/(-2)*4020/(-1206)
-5
1/(-2)*36/(-81)
2/9
Calculate (8/((-48)/(-18)))/(-3).
-1
What is (-2)/(-10*4/(-100))?
-5
Evaluate (14/2)/(((-27)/9)/3).
-7
Evaluate 4/(-112)*(-24)/3.
2/7
What is the value of (-13)/(-78)*(-8)/(-60)*5?
1/9
What is the value of (8/252)/(4/6)*2?
2/21
Evaluate (18/27)/((4/(-9))/2).
-3
Evaluate 14/((-308)/(-33))*2/(-1).
-3
4*(-15)/40*4/3
-2
Calculate (-1)/(-1)*(-2)/2*3.
-3
What is the value of (-2)/12*3*(-18)/12?
3/4
Calculate 6*6/(-24)*3/27.
-1/6
Evaluate (-2)/(-12)*4*(-1)/1.
-2/3
3*2*(-3)/18
-1
Calculate -1*(-4)/(-10)*16/8.
-4/5
What is the value of (12/75)/(((-12)/(-10))/3)?
2/5
(1/(6/4))/((-133)/57)
-2/7
Calculate (9/6)/(18/15).
5/4
Evaluate (3/24*-4)/(3/8).
-4/3
Calculate -3*(24/(-54))/((-2)/(-6)).
4
(-130)/845*(-13)/(-1)
-2
(6/7)/(8/28)
3
Calculate 3/42*10/(-25)*-10.
2/7
Calculate ((-6)/5)/((-102)/340).
4
Calculate ((-3)/(45/(-6)))/((-3)/5).
-2/3
Calculate (-3)/(-7)*4/(-4).
-3/7
(-32)/(-30)*5*(-12)/80
-4/5
What is the value of ((0/(-1))/6)/4?
0
Evaluate (12/32)/(((-9)/6)/(-1)).
1/4
What is the value of 48/90*(-3)/12?
-2/15
What is the value of (-8)/(-10)*(-50)/(-120)?
1/3
6/(((-60)/8)/(-1))
4/5
What is the value of (-59)/59*(-3)/3?
1
Evaluate (-16)/40*-5*(-1)/2.
-1
((-8)/28)/((-31)/651)
6
((-1)/6)/(25/(-50))
1/3
(95/(-57))/(7*5/(-6))
2/7
What is the value of (-88)/(-33)*(-27)/90?
-4/5
What is the value of ((-12)/(-32)*2)/(63/24)?
2/7
What is (8/70)/((-102)/(-357))?
2/5
Evaluate (-2)/(-3)*(-11)/((-66)/(-9)).
-1
What is the value of 255/(-68)*2/10?
-3/4
Calculate (3*(-4)/8)/(-6)*4.
1
(6/(-9))/((-2)/(18/(-15)))
-2/5
What is the value of -2*2*4/(-16)?
1
What is ((-16)/(-4))/(-28)*-1?
1/7
(-6)/1*(-8)/96
1/2
What is (-12)/(-3)*(-4)/(-1*16)?
1
Evaluate ((-50)/(-4))/((-15)/12).
-10
What is the value of (-1)/((-18)/120)*6/5?
8
What is ((-9)/18)/((-8)/128)?
8
(48/32)/(2/(-4))
-3
What is the value of (-40)/56*7*(-2)/(-75)?
-2/15
Calculate 469/(-67)*((-3)/3)/(-1).
-7
What is ((-2)/18)/(3*(-4)/72)?
2/3
Calculate -1*3/10*(-30)/36.
1/4
1/((-3)/(-9)*-9)
-1/3
(3*(-6)/(-216)*6)/1
1/2
What is ((-18)/12*(-4)/30)/(-1)?
-1/5
What is the value of 2/(5*(-15)/150)?
-4
Evaluate (4/((-12)/(-3)))/(2/6).
3
What is ((-1)/16)/(3*(-6)/108)?
3/8
What is (-1)/(-1)*(-5)/(-15)?
1/3
What is (-6*5/(75/20))/2?
-4
4/(14*((-4)/(-2))/2)
2/7
Evaluate -8*4/144*2.
-4/9
What is ((-32)/112)/(1/7)?
-2
Calculate ((-1)/(-4))/((-2)/(-3)*3).
1/8
What is (-4*(-2)/40)/((-1)/(-3))?
3/5
What is the value of 0/(2*(-1)/1)?
0
What is -3*3/33*8/(-12)?
2/11
Evaluate 3/((63/(-28))/(-3)).
4
Evaluate 4*15/80*(-8)/(-6).
1
Calculate 1/((25/(-20))/(-1)).
4/5
288/(-54)*(-18)/16
6
What is the value of 1*1*2/(-8)*0?
0
What is the value of 42/7*3/(-9)?
-2
What is (-7)/105*(-20)/(-12)*2?
-2/9
Evaluate (4/(132/9))/(6/(-4)).
-2/11
Evaluate ((-14)/(-7))/((2/(-1))/(-2)).
2
What is the value of (-3)/(270/8)*(-45)/18?
2/9
What is 39/(-286)*-33*(-8)/6?
-6
(8/24)/(3/(-18))
-2
What is the value of 15/((-135)/14)*(-14)/(-49)?
-4/9
What is the value of (10/(-10))/(-5*1/(-30))?
-6
What is ((-14)/98)/((-39)/26)?
2/21
Evaluate 4/(-2)*(-8)/(-2)*1.
-8
What is the value of 4/99*-3*(-3)/2?
2/11
Evaluate (-8)/(-2)*2*2/28.
4/7
What is (2/4*-2)/(22/198)?
-9
What is (-5)/6*-6*3/(-3)?
-5
Calculate 5*6/45*-9.
-6
Evaluate ((-60)/240)/(2/8).
-1
(-4)/(-6)*180/40
3
What is the value of -3*((-2)/3)/(4/(-6))?
-3
What is the value of (204/(-102))/((-2)/3)?
3
((-59)/708)/(((-1)/(-4))/1)
-1/3
What is 24/20*15/(-6)?
-3
((-77)/22)/((-35)/60)
6
What is the value of 1/(((-21)/(-3))/7)?
1
Calculate 3/(-12)*(-20)/15.
1/3
What is the value of 1/(-4)*(-48)/(-96)?
-1/8
Calculate -2*1/2*1.
-1
Evaluate ((0/3)/(-4))/4.
0
What is 1*2*((-54)/(-24))/9?
1/2
(3/2)/3*190/19
5
1*-1*85/17
-5
Evaluate (450/20)/3*12/(-15).
-6
(3/(-6))/((-33)/(-22))
-1/3
What is (1/(-2))/(3/24)?
-4
(9/((-36)/(-8)))/(63/7)
2/9
What is the value of ((-24)/(-15))/((-2)/10*-2)?
4
Calculate (80/(-48))/(6/18).
-5
Calculate (-8)/6*(-13)/(-1820)*-7.
1/15
((-3)/(-16))/((-159)/(-424))
1/2
Calculate -5*(-3)/(15/5).
5
What is the value of (156/104)/(3/2)?
1
What is the value of -7*1*(-8)/1400*10?
2/5
Evaluate (4/(-18))/(((-32)/(-12))/(-2)).
1/6
What is the value of (16/20)/(22/5)?
2/11
What is the value of 7*6*4/420?
2/5
What is the value of 108/216*(-1)/((-10)/(-4))?
-1/5
What is (11/165*-9)/(6/(-4))?
2/5
What is the value of (10/50*4)/(1/(-5))?
-4
Calculate (-3)/((-18)/(-3))*1.
-1/2
What is (-3)/(-1)*(-2)/(-24)*4?
1
What is the value of ((-2)/(-2))/(-1)*0/(-31)?
0
What is the value of (8/24)/((9/(-3))/9)?
-1
((-9)/(-15))/((-3)/2)*5
-2
What is 3/((-1)/(-2)*(-4)/2)?
-3
Calculate (14/(-7))/((-16)/(-4)).
-1/2
Calculate (1*5/(-15))/(5/9).
-3/5
(-12)/70*(-210)/(-84)
-3/7
(-1)/(((-132)/2)/6)
1/11
What is the value of 2/(10/(35/(-7)))?
-1
Calculate ((-15)/(-4))/(276/368).
5
What is -2*1/(27/(-3))?
2/9
(((-1)/(-6))/(9/12))/1
2/9
Evaluate (7/(-7))/(4/12).
-3
What is (48/(-28))/(-4)*10/30?
1/7
What is the value of 2/(-1*(-2)/4)?
4
Evaluate (-10)/15*-15*(-15)/(-25).
6
What is ((-4)/((-12)/6))/(-1)?
-2
((-4)/(-10))/(35/(-175))
-2
What is ((-1)/(-46))/((48/16)/(-12))?
-2/23
Evaluate (1/2)/((-8)/16).
-1
Calculate 3*(-2)/24*4.
-1
Evaluate (-15)/6*(-2)/20.
1/4
Calculate (2/8)/((-243)/(-108)).
1/9
((-1)/(-2))/((-2)/(-4))
1
Calculate 6/(810/9)*-2.
-2/15
What is (264/484)/((-10)/(-22))?
6/5
What is the value of (0*9/(-81))/(-4)?
0
What is (-77)/616*6/3?
-1/4
What is ((-6)/(-9))/((16/(-9))/(-8))?
3
Evaluate (44/22)/(2*6).
1/6
Calculate 8/(-70)*(-160)/(-64).
-2/7
What is 20/(-6)*(-21)/(-14)?
-5
(6/20)/((-48)/(-40))
1/4
(-10)/5*8/(-12)*3
4
Calculate -2*1*10/20.
-1
Evaluate (-30)/(-105)*(-1)/2.
-1/7
(2/9)/((-5)/(90/(-4)))
1
Calculate (1/2)/((-1)/(24/(-4))).
3
Evaluate (-2)/(-5)*(-80)/(-16).
2
Calculate (24/28)/((-9)/(-63)).
6
((-1)/((-10)/(-18)))/(102/340)
-6
4/((-3)/15*5)
-4
Calculate (8/4)/(5/1).
2/5
((-3)/6)/(3/(-288)*-8)
-6
(12/3)/12*162/9
6
Evaluate ((-2)/6)/((-33)/(-495)).
-5
(((-20)/(-550))/(-1))/(1/(-5))
2/11
(0/(-3))/((-108)/36)
0
Calculate (41/((-4920)/(-225)))/(6/8).
5/2
What is the value of (-1)/(1*(-4)/(-20))?
-5
((224/(-60))/(-14))/(-2)
-2/15
Evaluate (4/(8/4))/(-14).
-1/7
What is -2*((-21)/70)/((-6)/(-5))?
1/2
Calculate 1*((-5)/15)/((-18)/(-27)).
-1/2
What is the value of 4*(-4)/(-16)*(-1)/(-3)?
1/3
Calculate ((-590)/(-177))/(1/(3/2)).
5
(-23)/(690/36)*15/(-6)
3
Calculate 45/((-6)/((-30)/25)).
9
What is the value of (-27)/(-3)*(40/12)/5?
6
What is the value of (-20)/4*(2/(-5))/(-1)?
-2
What is the value of ((-11)/(-44))/(39/(-24))?
-2/13
What is (34/(-612))/((-2)/(-30))?
-5/6
Calculate 6/108*9*4*3.
6
What is (-6)/72*-28*15/(-5)?
-7
Evaluate (-8)/840*-25*7.
5/3
What is 0/3*((-3)/(-6))/(-1)?
0
2*3/3*-2
-4
What is (0/2)/(12/4)?
0
Evaluate 0/(2*((-9)/6)/(-3)).
0
What is the value of ((-21)/(-98))/((-4)/((-32)/(-6)))?
-2/7
((-6)/5)/((-8)/((-280)/(-7)))
6
What is the value of ((-6)/(-5))/(42/(-30))?
-6/7
Calculate ((-264)/(-924))/(3/(-7)).
-2/3
What is 9/(-162)*-9*1?
1/2
Calculate 80/(-12)*36/48.
-5
2*(14/(-2))/(-7)
2
Evaluate ((5/4)/5)/((-9)/(-6)).
1/6
Evaluate 93/(-217)*-1*(-3)/(-3).
3/7
((-4)/6)/(133/(-57))
2/7
What is ((-360)/(-160))/(3/8)?
6
What is 2/(-4)*(-18)/(-21)?
-3/7
What is 20/2*(-10)/(-20)?
5
What is the value of (1*(-4)/12)/(168/48)?
-2/21
Calculate (9/27)/((-1)/(-9)).
3
Evaluate (-1368)/(-1026)*3/(-10).
-2/5
What is 105/63*(-6)/(-5)?
2
Calculate (-4)/3*(-1)/((-7)/42).
-8
Evaluate (10/(-25))/(((-16)/(-180))/1).
-9/2
Calculate (-7)/(-7)*(12/6)/(-2).
-1
What is - | {
"pile_set_name": "DM Mathematics"
} |
scending order.
5, -23, -34596
Sort -4, 0, -16026 in decreasing order.
0, -4, -16026
Put -0.59622, -0.7, 5 in increasing order.
-0.7, -0.59622, 5
Sort 9.17, -3/14, 1.
-3/14, 1, 9.17
Put -4, -1, 198, -97 in decreasing order.
198, -1, -4, -97
Sort -1/4, -1, 10, -7, -0.181 in increasing order.
-7, -1, -1/4, -0.181, 10
Sort -1, 4927, -2, -5 in descending order.
4927, -1, -2, -5
Sort 110, 103, 2, -4, -3, -1 in descending order.
110, 103, 2, -1, -3, -4
Put 1/4, 41, -1/3, -129 in increasing order.
-129, -1/3, 1/4, 41
Sort 3/7, 3, 0.269 in descending order.
3, 3/7, 0.269
Sort 0, 157689, -1.
-1, 0, 157689
Sort 1, 0, 0.02855 in decreasing order.
1, 0.02855, 0
Sort 82, -3/2, -1, 1/3, -1/6.
-3/2, -1, -1/6, 1/3, 82
Sort 0.1, -0.4, -5, 169, -1/3, 0.3.
-5, -0.4, -1/3, 0.1, 0.3, 169
Sort -9, 50, 14 in decreasing order.
50, 14, -9
Put -17, -4, 0, 1/8, 11/3 in descending order.
11/3, 1/8, 0, -4, -17
Sort -23, 3, 4, -92, 9 in descending order.
9, 4, 3, -23, -92
Sort 0, -5, -10, -4, 199 in ascending order.
-10, -5, -4, 0, 199
Put -4, 85, 11, 10 in increasing order.
-4, 10, 11, 85
Sort 2, -2, -9/2, 111, -0.4, -6 in decreasing order.
111, 2, -0.4, -2, -9/2, -6
Put -28, 5, 1, -4 in decreasing order.
5, 1, -4, -28
Put -0.3, -5, -1/2567, 2/5 in decreasing order.
2/5, -1/2567, -0.3, -5
Sort -1/2, -7, -4, 2/11, 0 in increasing order.
-7, -4, -1/2, 0, 2/11
Sort -0.01, -26, -5, 0.2, -2/13 in ascending order.
-26, -5, -2/13, -0.01, 0.2
Sort -285, -3, -11 in descending order.
-3, -11, -285
Sort 1, -2, 0.66, 8, 0 in decreasing order.
8, 1, 0.66, 0, -2
Put -5.5, -4, 0.2, -2/7 in descending order.
0.2, -2/7, -4, -5.5
Put 31, -292, 4, 0 in decreasing order.
31, 4, 0, -292
Put -4, 1, 2, -2, -181, -1 in ascending order.
-181, -4, -2, -1, 1, 2
Put 5, -11, 1972 in decreasing order.
1972, 5, -11
Sort -0.3, -14, 0.2, -981 in descending order.
0.2, -0.3, -14, -981
Put -29.4, -5, -1.1, -10 in decreasing order.
-1.1, -5, -10, -29.4
Sort -2, 5/2, -186, -150/7 in descending order.
5/2, -2, -150/7, -186
Sort 5, 0, -6, -234, 4.
-234, -6, 0, 4, 5
Sort -30.6, -2, 8, -1/4, 0.02, 0.3 in descending order.
8, 0.3, 0.02, -1/4, -2, -30.6
Put 1, 0, 59/53 in decreasing order.
59/53, 1, 0
Sort 14, -13, 5, 1, 3 in increasing order.
-13, 1, 3, 5, 14
Sort 0.4, 0, -2, 0.240637.
-2, 0, 0.240637, 0.4
Sort -1015, -3, -2, 0, -11 in ascending order.
-1015, -11, -3, -2, 0
Put 7, -3/8, -1, -0.04, -11, 4 in descending order.
7, 4, -0.04, -3/8, -1, -11
Sort 4, 1.8, 5, -13 in descending order.
5, 4, 1.8, -13
Put 5, 2/5, -0.3, -0.025, 0.2 in decreasing order.
5, 2/5, 0.2, -0.025, -0.3
Sort -1, 18, 3073 in ascending order.
-1, 18, 3073
Put -2, 0.5, -3443 in decreasing order.
0.5, -2, -3443
Sort 0, -6, -2, 4, -24 in decreasing order.
4, 0, -2, -6, -24
Put -4, -30836, -9 in ascending order.
-30836, -9, -4
Sort -444, 0, 1, -3, -4, 11 in descending order.
11, 1, 0, -3, -4, -444
Sort -292, -5, 5/2, 1/5 in descending order.
5/2, 1/5, -5, -292
Put 21, 0.01, -6252/13 in descending order.
21, 0.01, -6252/13
Sort 0.3, -22, -420, 1 in increasing order.
-420, -22, 0.3, 1
Put -1, 0.242, -16 in decreasing order.
0.242, -1, -16
Put -9, 0.4, 180, -2 in decreasing order.
180, 0.4, -2, -9
Put -4, -1.885, -4/3 in decreasing order.
-4/3, -1.885, -4
Sort 8, -4, 4, 5, 0, -1229 in ascending order.
-1229, -4, 0, 4, 5, 8
Put -0.2, 928, 0.3, 1, -2 in ascending order.
-2, -0.2, 0.3, 1, 928
Put 0.3, 50/9, -18, -3/2 in descending order.
50/9, 0.3, -3/2, -18
Sort 0, 1, -0.834477 in descending order.
1, 0, -0.834477
Put -2/7, 3/506, 0.1, 3, -1, -3 in decreasing order.
3, 0.1, 3/506, -2/7, -1, -3
Sort 4, 2.3, 172, -0.146 in ascending order.
-0.146, 2.3, 4, 172
Sort 0.4, -0.1, 535 in descending order.
535, 0.4, -0.1
Put 2039, 4, 3 in increasing order.
3, 4, 2039
Sort -2/5, 2/7, 784.54 in decreasing order.
784.54, 2/7, -2/5
Sort 2, -8, -5, -20 in decreasing order.
2, -5, -8, -20
Sort 0.02, 1316, -8 in decreasing order.
1316, 0.02, -8
Sort 5, 15180, -3.
-3, 5, 15180
Put 1, 2, 12, 13, 154 in decreasing order.
154, 13, 12, 2, 1
Sort 6, -1, 0.1, 0.4, 174, 2.
-1, 0.1, 0.4, 2, 6, 174
Sort 4.5, 0.02, -2.8, -2, -0.4.
-2.8, -2, -0.4, 0.02, 4.5
Put 3, -1, 6723 in descending order.
6723, 3, -1
Put -62/5, -15/421, 0.3 in increasing order.
-62/5, -15/421, 0.3
Put 0, -1/5, 3, -1.8393, 6/11 in ascending order.
-1.8393, -1/5, 0, 6/11, 3
Sort 36, -6, 1, 54, -3.
-6, -3, 1, 36, 54
Put 6, 56, 3, 0 in descending order.
56, 6, 3, 0
Sort -5, 5, 2, 1, 0, -1005 in ascending order.
-1005, -5, 0, 1, 2, 5
Sort -3/2, 21413, -2 in ascending order.
-2, -3/2, 21413
Sort -498, 20, 4, -5 in decreasing order.
20, 4, -5, -498
Put -7, -5, -4, 14 in descending order.
14, -4, -5, -7
Put 0.3, -1, 3, -106, 3/2 in ascending order.
-106, -1, 0.3, 3/2, 3
Sort -1/6, 0.4, -3/5, 2/7 in decreasing order.
0.4, 2/7, -1/6, -3/5
Put -4, 331, 0.5, -5, -0.1, 1/7 in descending order.
331, 0.5, 1/7, -0.1, -4, -5
Sort -2/13, -10, 6.8, 1/3.
-10, -2/13, 1/3, 6.8
Sort 16, 69, -3.
-3, 16, 69
Sort 5, 1670, 3, -2, 7.
-2, 3, 5, 7, 1670
Sort 1/13, -1, 0, 0.2, 45 in decreasing order.
45, 0.2, 1/13, 0, -1
Sort -5, 4, -4, -1723558 in descending order.
4, -4, -5, -1723558
Sort -2/17, 24, 2/25 in decreasing order.
24, 2/25, -2/17
Sort -0.2, -677/2, -3, 0.5, 15, -1.
-677/2, -3, -1, -0.2, 0.5, 15
Put -4, -354, 4, -17, -2 in ascending order.
-354, -17, -4, -2, 4
Sort 0.017, -0.02, -3/2, -0.03 in decreasing order.
0.017, -0.02, -0.03, -3/2
Sort 1.15, 0.4, -0.1, -2/5, -4, -5 in decreasing order.
1.15, 0.4, -0.1, -2/5, -4, -5
Put 0.4, -1, -0.03992, 0.5 in ascending order.
-1, -0.03992, 0.4, 0.5
Sort -5, 6, -1, 2, -11 in increasing order.
-11, -5, -1, 2, 6
Sort -0.4, -119, -76, 2 in descending order.
2, -0.4, -76, -119
Put -14, -2, -624 in increasing order.
-624, -14, -2
Put -293, 234, -3 in decreasing order.
234, -3, -293
Sort 2, 25, 69 in decreasing order.
69, 25, 2
Sort -21/5, 2/3, 0.1947 in increasing order.
-21/5, 0.1947, 2/3
Sort 9, 5, 1, -13, 10, 2 in increasing order.
-13, 1, 2, 5, 9, 10
Put 24, 20, 2, 3 in decreasing order.
24, 20, 3, 2
Sort 183, -5, -35/8, -3 in descending order.
183, -3, -35/8, -5
Sort 1, 11026, 30 in ascending order.
1, 30, 11026
Sort -31, -38, 13 in ascending order.
-38, -31, 13
Put -341, 0, -4, 5 in increasing order.
-341, -4, 0, 5
Sort -3, 2, -4858 in increasing order.
-4858, -3, 2
Put -1/5, -6, 0.4, 1/7, -1.54 in descending order.
0.4, 1/7, -1/5, -1.54, -6
Put 2673, 0.6, 1/3 in decreasing order.
2673, 0.6, 1/3
Sort -0.4, -1, 11, -0.081, -4 in ascending order.
-4, -1, -0.4, -0.081, 11
Put -3, -5, 9935, -1, 2, -4 in increasing order.
-5, -4, -3, -1, 2, 9935
Sort -24/11, 6, -1.1.
-24/11, -1.1, 6
Sort 4, 2, 127934 in ascending order.
2, 4, 127934
Sort 2, -7, 1, 5.
-7, 1, 2, 5
Sort -2, -1, 4, -10, -15 in increasing order.
-15, -10, -2, -1, 4
Sort 1431, 20, -2, -3, 1.
-3, -2, 1, 20, 1431
Put -6854, 0.1, -5, -6, 0 in descending order.
0.1, 0, -5, -6, -6854
Put -5, 2, 4, -46505 in increasing order.
-46505, -5, 2, 4
Sort 449, 0.09, 4 in increasing order.
0.09, 4, 449
Sort 4, 124, -0.03.
-0.03, 4, 124
Put 5, 1410, -3, 1 in descending order.
1410, 5, 1, -3
Sort 242, -3, 11, 3.
-3, 3, 11, 242
Put 1, -3, 13, -5, -1, 81 in increasing order.
-5, -3, -1, 1, 13, 81
Put 7/6, 1/58, 6, -2/3 in ascending order.
-2/3, 1/58, 7/6, 6
Sort -3, 3, -4, -585.
-585, -4, -3, 3
Put 0, 2, -3, 3, -2, -133 in increasing order.
-133, -3, -2, 0, 2, 3
Sort 10, -4, 5, -0.39, 4, 0.1 in decreasing order.
10, 5, 4, 0.1, -0.39, -4
Put -169, 5, 0, 21, 4 in decreasing order.
21, 5, 4, 0, -169
Put -1, 241, -111, 0, 5 in increasing order.
-111, -1, 0, 5, 241
Sort 67, 5, 109, 2, 3.
2, 3, 5, 67, 109
Sort -5, 3, 25, -873 in decreasing order.
25, 3, -5, -873
Sort 0.3, -0.2, 6620, -3/5 in increasing order.
-3/5, -0.2, 0.3, 6620
Put 2, -204, -195, -0.4 in decreasing order.
2, -0.4, -195, -204
Sort 6, 5, -11, 15, 3 in ascending order.
-11, 3, 5, 6, 15
Put 191, 2, -4, -12, -3, 3 in increasing order.
-12, -4, -3, 2, 3, 191
Sort -6243, 6, 5, 4, 2.
-6243, 2, 4, 5, 6
Put 3, -166, 1, -5 in decreasing order.
3, 1, -5, -166
Sort -3, 0, -39177, 1 in descending order.
1, 0, -3, -39177
Sort -4, -1, -84/13, 44/5, -2/17 in increasing order.
-84/13, -4, -1, -2/17, 44/5
Put -9, -1, -85, 36 in ascending order.
-85, -9, -1, 36
Sort 4, 2251, -20, -5 in decrea | {
"pile_set_name": "DM Mathematics"
} |
71.072247 to the nearest 10.
-470
Round 3526887.203 to the nearest 1000.
3527000
What is 3498.84089 rounded to the nearest 10?
3500
Round 12.986789 to one dp.
13
Round 31856.484 to the nearest one thousand.
32000
Round 190.26874107 to one decimal place.
190.3
Round -281789021 to the nearest 10000.
-281790000
Round -775221.555 to the nearest one hundred.
-775200
What is 186.47968 rounded to the nearest integer?
186
Round 0.00000544515118 to 7 decimal places.
0.0000054
What is -41041.6108 rounded to the nearest integer?
-41042
Round 0.00000047924775 to 7 decimal places.
0.0000005
What is 703.6341702 rounded to the nearest 100?
700
Round -149129.626 to the nearest one hundred.
-149100
Round 0.00353679981 to three decimal places.
0.004
What is -3482.3507 rounded to the nearest 10?
-3480
What is 8152.5655 rounded to the nearest one thousand?
8000
Round 40725.147 to the nearest ten.
40730
What is -0.00046637399 rounded to 5 decimal places?
-0.00047
What is -6925.42463 rounded to the nearest 10?
-6930
What is 0.0000647794896 rounded to seven dps?
0.0000648
What is 5.372882378 rounded to 1 decimal place?
5.4
What is 3986629.3 rounded to the nearest ten thousand?
3990000
Round -222957.797 to the nearest 10000.
-220000
Round -0.37102264 to 4 dps.
-0.371
What is 27882.8236 rounded to the nearest one hundred?
27900
Round -1290.21714 to the nearest 10.
-1290
What is -0.000578815337 rounded to 6 decimal places?
-0.000579
Round 476631.88 to the nearest 100000.
500000
What is -3801227.51 rounded to the nearest one million?
-4000000
Round 0.431329502 to five decimal places.
0.43133
Round -0.00364932002 to 2 dps.
0
What is -1730820.84 rounded to the nearest one thousand?
-1731000
Round -0.065408317 to 4 decimal places.
-0.0654
What is 26.1095898 rounded to 3 dps?
26.11
Round -0.016808129057 to 5 decimal places.
-0.01681
What is 0.00257658241 rounded to 6 dps?
0.002577
What is 5413022.9 rounded to the nearest 100000?
5400000
Round 0.000797327433 to seven dps.
0.0007973
What is 547.432537 rounded to the nearest 100?
500
Round -3.789042719 to four dps.
-3.789
What is -6.47947317 rounded to the nearest integer?
-6
Round 1.860352933 to four decimal places.
1.8604
What is -0.00002957342837 rounded to seven decimal places?
-0.0000296
What is -126.7531037 rounded to one dp?
-126.8
Round 0.0000123838778 to six dps.
0.000012
What is -192.6896966 rounded to 2 dps?
-192.69
Round 1417098.24 to the nearest 1000.
1417000
What is -0.0006586291 rounded to 6 dps?
-0.000659
Round 0.0007364369183 to four dps.
0.0007
Round -11765.2629 to the nearest one hundred.
-11800
Round -0.46029127 to one dp.
-0.5
Round 2390963085 to the nearest 1000000.
2391000000
Round -65381945400 to the nearest 1000000.
-65382000000
Round -0.0002460550737 to seven decimal places.
-0.0002461
What is -0.001848276076 rounded to 6 decimal places?
-0.001848
Round -0.004695014458 to 7 dps.
-0.004695
What is 294944.4747 rounded to the nearest 10000?
290000
Round 49884.463 to the nearest ten.
49880
Round 25677.7476 to the nearest 10.
25680
What is 2168.97677 rounded to the nearest ten?
2170
Round -0.05306663 to four dps.
-0.0531
Round -774124237 to the nearest one million.
-774000000
Round -0.0004639598862 to five decimal places.
-0.00046
What is 2669.0861 rounded to 1 dp?
2669.1
What is -25.7305247 rounded to the nearest integer?
-26
Round 284.1350005 to 0 decimal places.
284
Round -0.00092331096 to 6 decimal places.
-0.000923
Round -8.539016072 to 1 dp.
-8.5
Round 11.9320596 to 2 decimal places.
11.93
What is -7780.682024 rounded to the nearest one thousand?
-8000
Round -37151.6881 to the nearest integer.
-37152
What is -0.01214228938 rounded to 3 decimal places?
-0.012
Round 13.7021928 to one dp.
13.7
What is -40943594.2 rounded to the nearest one million?
-41000000
Round 0.02423585646 to six decimal places.
0.024236
What is -0.00406970045 rounded to six decimal places?
-0.00407
What is 1891.959625 rounded to the nearest ten?
1890
Round 4.76930296 to 1 decimal place.
4.8
What is 1060832538 rounded to the nearest 1000000?
1061000000
What is -1624006.28 rounded to the nearest one hundred thousand?
-1600000
Round 204.0185939 to two dps.
204.02
Round 0.01792445082 to four decimal places.
0.0179
What is -0.0120219276 rounded to 6 dps?
-0.012022
What is -2399.5591502 rounded to the nearest ten?
-2400
What is -224611060.6 rounded to the nearest one million?
-225000000
Round -0.0005931682945 to 7 dps.
-0.0005932
What is -0.00014433662 rounded to 6 decimal places?
-0.000144
Round 31323.6 to the nearest ten.
31320
Round 0.02374596664 to two decimal places.
0.02
Round 69738.2118 to the nearest 10000.
70000
Round -0.00000056474877 to 7 decimal places.
-0.0000006
Round -96.65300645 to 2 decimal places.
-96.65
Round 235383350 to the nearest 10000.
235380000
Round -0.1398300193 to 5 dps.
-0.13983
Round 49.181115 to the nearest integer.
49
Round 0.0000020949095 to 6 decimal places.
0.000002
Round 9483.69847 to the nearest one thousand.
9000
Round 545.462685 to the nearest 10.
550
Round 319704.1121 to the nearest one hundred.
319700
What is 0.00000310806735 rounded to seven dps?
0.0000031
Round 0.0346020674 to 5 dps.
0.0346
Round -510668.2998 to the nearest one hundred thousand.
-500000
Round -36000665.4 to the nearest one hundred thousand.
-36000000
What is 15.292807 rounded to 3 dps?
15.293
What is -0.6697118041 rounded to four decimal places?
-0.6697
What is -93250859.1 rounded to the nearest 100000?
-93300000
Round 710.941569 to the nearest integer.
711
What is 9524378.12 rounded to the nearest one hundred thousand?
9500000
Round 1.6067078 to 3 dps.
1.607
Round 344484.08 to the nearest 100000.
300000
What is -0.0218689441 rounded to five decimal places?
-0.02187
What is 1089.223645 rounded to 1 dp?
1089.2
What is -0.00134580399 rounded to six dps?
-0.001346
Round 13419.0003 to the nearest ten thousand.
10000
Round -2360414.231 to the nearest one hundred.
-2360400
Round -5507.14019 to the nearest 100.
-5500
Round -24034.95 to the nearest 1000.
-24000
What is 0.5850643 rounded to two decimal places?
0.59
What is 0.05281317786 rounded to 5 dps?
0.05281
What is 1884780231 rounded to the nearest 1000000?
1885000000
What is 0.00478131609 rounded to three dps?
0.005
Round -36596548.8 to the nearest ten thousand.
-36600000
What is 24463375.84 rounded to the nearest one million?
24000000
What is -4535.953951 rounded to the nearest integer?
-4536
Round -0.000125182093 to 5 decimal places.
-0.00013
What is 7117.197093 rounded to the nearest ten?
7120
What is 1418185415 rounded to the nearest one million?
1418000000
Round -5703.93779 to the nearest 1000.
-6000
What is 1074973709 rounded to the nearest 100000?
1075000000
What is 0.000113049064 rounded to seven decimal places?
0.000113
What is 21120.63264 rounded to the nearest 10?
21120
What is -504576.31 rounded to the nearest one thousand?
-505000
Round -8.650060277 to 4 dps.
-8.6501
Round -402.99373 to the nearest one hundred.
-400
Round -30171973.7 to the nearest 1000000.
-30000000
Round 9.681192 to 3 dps.
9.681
Round -33008.382 to the nearest 100.
-33000
What is 58.24144659 rounded to the nearest integer?
58
What is 67707.25781 rounded to the nearest one hundred?
67700
Round -2.544782631 to 1 dp.
-2.5
Round -0.0031890074 to 5 dps.
-0.00319
Round -0.000264644881 to seven dps.
-0.0002646
Round 22809421405 to the nearest 100000.
22809400000
What is -5747573.94 rounded to the nearest ten thousand?
-5750000
What is -444.24539 rounded to the nearest one hundred?
-400
What is 130330.11 rounded to the nearest 10?
130330
Round 4032177.9 to the nearest one thousand.
4032000
Round 0.44997977 to 3 dps.
0.45
Round -299.4067868 to 1 dp.
-299.4
Round 0.0001426885175 to six decimal places.
0.000143
Round -0.002267126079 to seven decimal places.
-0.0022671
Round -3511.1804 to the nearest ten.
-3510
Round 2.88001626 to three decimal places.
2.88
Round 208.7947288 to the nearest ten.
210
What is 0.0099166169 rounded to 5 dps?
0.00992
What is 0.0001770286854 rounded to four decimal places?
0.0002
What is -3851573754 rounded to the nearest 100000?
-3851600000
Round 379.0931848 to two decimal places.
379.09
Round -99.489702 to 1 decimal place.
-99.5
What is -27022.182 rounded to the nearest 10?
-27 | {
"pile_set_name": "DM Mathematics"
} |
f**(-2/5))**(-2/157) assuming f is positive.
f**(28031/14130)
Simplify (z**(-3)*z*z*z*z/(z*z*z**(-7))*z)**(-4/7)/((z**(1/3))**(-2/117))**(2/19) assuming z is positive.
z**(-26672/6669)
Simplify (((g/(g/g**8)*g)/g)/g)/g*g**(2/13)*(g**(-1/2)/g)**(12/5)*g**(-2/17)*g**(1/3)*g**4*g**(-7/2) assuming g is positive.
g**(21677/6630)
Simplify ((((g/(g**14*g))/g)/(g/(g**(-14)/g*g)))/(g**(-1))**(22/3))**(3/17) assuming g is positive.
g**(-4)
Simplify (q*q**(-2/5))**(-1/7)/(q**(-6)/q**(-1/5))*(q**(-1/2))**2/(q**(-2)*q**5*q*q) assuming q is positive.
q**(-2/7)
Simplify ((a**(3/4)*a*a**(2/15)*a)/(a/a**(-2/7)*a**5/a))/((a**(2/5)/(a/(a/a**5)))/(((a/a**(-1))/a)/a)**49) assuming a is positive.
a**(923/420)
Simplify ((((x/(x/(x*x**(-3/2)/x*x)))/(x/x**(-6/7)))**(-11/4))**(-3/10))**(-2) assuming x is positive.
x**(1089/280)
Simplify (((v**1/v)/v)**(-12)*v**(-3/8)/v*v*v**(2/15))/(v**(2/7)*v**(-5))**17 assuming v is positive.
v**(77197/840)
Simplify ((d**(-4/9)*d)/(d/d**(-5)))/(d*d*d/(d*d**(3/2))*d*d**(-2/11))*(d**(2/19)*(d*d*d**(1/2)*d*d)/d)**21 assuming d is positive.
d**(129691/1881)
Simplify ((i/((i/(i**(-1/2)*i))/i))/i)**10/(i**(-2/7)*i**(-5/3))*(i/i**(-1/5)*i/(i*i/(i**(-10)*i)))**(35/2) assuming i is positive.
i**(-3088/21)
Simplify (((h/h**(2/5))/h**(-2/53))/(h**(22/5)/(h*h**34/h)))**(-45) assuming h is positive.
h**(-72117/53)
Simplify ((k**(-1/4)/k)/k*k)**(1/7)/((k*k*k*((k/((k**9*k*k*k)/k))/k)/k)/k*k/k**(-1))*(k/k**1)**(1/8)/(k**(-4)/(k/k**(-8))) assuming k is positive.
k**(583/28)
Simplify (((t*(t/(t*t**(-1/16)))/t)/t*t**(5/9))/(t**(-1/3))**(-10/9))**(-28) assuming t is positive.
t**(2275/108)
Simplify (i**(-4/7)/i**(-4))**(-1/12)/((i*i*i**(-1/6))/(i/i**(-1/2)*i)*(i/(i/(i**(-1/4)*i)))/i**(-1/8)) assuming i is positive.
i**(-83/168)
Simplify m**(2/17)*m*m*m**(-5)/m*(m*m*m**(-4/7)/m*m)/m*m*m*m**(-2)*(m*m**(-6)*m**4)/(m/(m*m**6)*((m**(-2/25)*m)/m)/m) assuming m is positive.
m**(7813/2975)
Simplify ((i**(3/8)*i**(-2/9)*i)/((i**(-5)*i)/i**0))/((i**6/(i*i/(i*(i**(-2/25)/i)/i)*i))/(i**(-2/5)/i**2)) assuming i is positive.
i**(1499/1800)
Simplify ((r/(r*r**(-2/13)*r)*r)/(r**(-1)*r))/((r**(-5)*r)/r**(-2/3))*r**(-1/5)/(r*r/(r*r**6/r))*(r*r**(1/7)/r)/(r/(r*r/r**(-2/9))) assuming r is positive.
r**(35431/4095)
Simplify ((y*y**(-2/7)*y)**(-4/9)/(((y**3*y)/y)/((y**6/y)/y)))/(y**6/y*y/(y*y**(1/3))*y*y**(-5/4)*y*y**(-2)) assuming y is positive.
y**(-89/28)
Simplify ((((p/p**(-1/3))/p)/((p/p**(2/11)*p*p)/p))/(p*p/(p*p**2*p)*p*p/p**(2/3)))/(p**(-1/14)*p**0*p)**(4/13) assuming p is positive.
p**(-85/77)
Simplify ((f**26/f)/f*f/(f/(f**(19/2)*f))*f*(f**(-23))**(-2))**(-15/7) assuming f is positive.
f**(-2445/14)
Simplify (n**(4/5)*n*n/(n/(n**(1/10)/n*n)))**(-12)*(n/n**(2/11))/n*n**(2/7)*(n**(-1)/n)**29 assuming n is positive.
n**(-31068/385)
Simplify ((u*u**(-2)*u/u**(1/8)*u)/(((u**(-1)*u)/u)/u*(u*u**(5/4))/u))/((u**1)**27)**(16/3) assuming u is positive.
u**(-1139/8)
Simplify ((q*q**2)/q*q**7/q)/((q/((q*q**(-3/4)/q*q*q)/q))/q**(-1/6))*(q/(q**1*q*q))/q**(-1/3)*(q**(2/7))**(-29) assuming q is positive.
q**(-241/84)
Simplify (((h**(-7)*h)/h*h*h)/h**5)**(-6)/(h*h**(-5)*h**(1/6)*(h*h**(1/2))**49) assuming h is positive.
h**(-29/3)
Simplify ((y*(y**(-1)/y)/y*y)/y)**13/((y**2*y)/y*y*y/(y/y**3))*((y*((y*y**(-3)*y)/y)/y)/(y**2/y))/(y/(y**(1/4)*y))**18 assuming y is positive.
y**(-61/2)
Simplify ((k**(-1/3)/k**(-1/16))**(-46))**40 assuming k is positive.
k**(1495/3)
Simplify ((k*k**(2/47)*k)/k)**(-2/45)*(k**17/k)**(-4/11) assuming k is positive.
k**(-136438/23265)
Simplify (w**(-1/11))**16/(w/w**(-1/23))**(-17) assuming w is positive.
w**(4120/253)
Simplify (j*j*j**(-1))**(-10)*((j/(j/(j**(-1)/j)))/j)/(j/(j/((j/(j**(-4)/j)*j)/j*j)*j))*(((j**(-2)*j)/j)/j**(2/11))**37 assuming j is positive.
j**(-1097/11)
Simplify (((c**(-24)/c)/c)/(c**19/c)*c/c**(-11)*c**(-2))**(1/23) assuming c is positive.
c**(-34/23)
Simplify ((i*i**(6/5))**(-13/4)*(i**(-23))**(-1))**(-1/2) assuming i is positive.
i**(-317/40)
Simplify (j*j*(((j**(-5)/j*j)/j)/j)/j*j/(j/((j**(3/4)*j*j)/j)))/(((j*j/(j*j**3*j*j))/j)/j**3)*(j**(-2/5)*j*j)**34/(j**(-8)/j*j**(-5)) assuming j is positive.
j**(1443/20)
Simplify (l/(l*l*l**(1/7))*l**1*((l*l**(-1/3))/l)**(8/7))/(((l/(l/(l**(3/10)*l)))/((l*l**3*l*l)/l))/(l**(1/4))**49) assuming l is positive.
l**(6479/420)
Simplify (((w/w**7)/w*w)/w**11*((w*(w*w/(w**(3/2)*w)*w)/w)/w)/w**(1/4))**(3/13) assuming w is positive.
w**(-213/52)
Simplify (u*u*u**(-1/2))**(-1/38)/(u**(2/7)*u*u**(-1/14))*((u*u**(-5))/(u*u**3/u))**(20/7) assuming u is positive.
u**(-11307/532)
Simplify (m**1*m**(4/5)*(m**(-1/3))**(-2))/(((m**(1/10)/m)/m**(-1/3))/(m**1/m*m**3/m)) assuming m is positive.
m**(151/30)
Simplify ((h**(1/10)/h**(-3))/(h**6/h**4))/((h**2*h*h/(h/h**(5/2))*h*h)/(h**(1/2))**(2/33)) assuming h is positive.
h**(-1051/165)
Simplify (v/v**(3/8)*v*v*v**7)/(v/v**(-2)*v*v*v/(v/(v/v**(-1/3)))*v)*(v**0)**(3/10)*v**5/(v/(v**(-3/2)/v)) assuming v is positive.
v**(91/24)
Simplify ((c**(-9/7))**(-25)/(c**(-11/3))**(1/2))**(2/89) assuming c is positive.
c**(1427/1869)
Simplify h**19*h**(6/7)/h*h**(-5/11)/h**5 assuming h is positive.
h**(1032/77)
Simplify w**44*w*w**(-14)*w**14*(w/(w/w**(10/11)))/w assuming w is positive.
w**(494/11)
Simplify (f/(f/(f/f**29*f)))**22*(f**(2/17))**46 assuming f is positive.
f**(-10006/17)
Simplify (x**(1/18)/x*x*x**(-2))**29*((x*x*x**6*x)/x*x**3*x)/(x**(5/2)*x/x**(-2/17)) assuming x is positive.
x**(-7345/153)
Simplify (d**(-2/23)*d**(-5/4)*d*(d**1*d*d)**(-23))**12 assuming d is positive.
d**(-19137/23)
Simplify (((t/(t*t**(-2))*t)**(-44)/(t/(t/(t**(1/4)/t))*t**(-2/3)))**19)**33 assuming t is positive.
t**(-327503/4)
Simplify (p**18*p*p*p*p**(-2/23)*p*(p**(-3/4))**47)**(-21) assuming p is positive.
p**(25767/92)
Simplify u**30*u**(-10/11)*(u**(-11/4))**0 assuming u is positive.
u**(320/11)
Simplify ((w**(2/7)/w)/(w*w*w**(-5/3)*w*w)*(w*w**1)**(-21))/((w**1*w)/w**(-6)*(w**1)**(-34)) assuming w is positive.
w**(-400/21)
Simplify (x**(-2/3))**(-3/8)/(x**(4/9)*x**(-2))*((x*x**0/x)/x*x*x*x)**(-11/6)*x*x*x**(-1/2)*(x**(-4/3)/x)/x assuming x is positive.
x**(-133/36)
Simplify (c**12*c**5/c*(c/(c**(-2/9)*c))**(-1/24))**10 assuming c is positive.
c**(8635/54)
Simplify ((a/(a**(14/3)/a))/(a*a*a**(-2/31))*(a**(-2/133)*a)**26)**(-25) assuming a is positive.
a**(-6495850/12369)
Simplify (s**6/(s**10/s))**(-4/41)/(s**(-1/17)/(s**(1/12)/s))**(-11) assuming s is positive.
s**(81373/8364)
Simplify (c**5/c)/c*c**(-2)*c*c**(-1/2)*c*c/c**(7/4)*c*((c/(c**(-1/3)*c))/c**(1/8))**(-1/14) assuming c is positive.
c**(919/336)
Simplify (c**8*c/(c*c*c**(-1))*c*(c/c**(-3/10))**(-1/6))**(-24) assuming c is positive.
c**(-1054/5)
Simplify ((v**(-2/3))**(-46)*(v**(2/7))**(-2/7))/((v**(-1)/v*v)/(v**(1/5)*v))**(-8/13) assuming v is positive.
v**(279304/9555)
Simplify (s**(2/7))**(5/8)*(s/s**(-3))/s**(3/7)*(s**0)**(-10/17)*(s**(2/3))**(-2/17) assuming s is positive.
s**(749/204)
Simplify (l**(7/2)/l*l/(l*l**(-11)*l)*l*(l**(1/3))**(2/23))**(-2) assuming l is positive.
l**(-1867/69)
Simplify ((w/(((w/w**3)/w*w)/w))**(-2/19))**(-46)/(((((w/(w**(9/2)/w*w)*w)/w)/w)/w*w)/w**(2/33))**(-1/60) assuming w is positive.
w**(1451561/75240)
Simplify (b/(b**0/b))**(3/2)*(b*b/b**(2/27))/(b**(-7)*b)*(b/(b**(1/4)/b)*b*(b/b**(-4))/b*b)/(b/(b/(b**(2/5)/b)))**(-17) assuming b is positive.
b**(4577/540)
Simplify (((g*(g/(g*g**2))/g)/g)**(-20))**(-48)*(g**(2/5)/((g/(g**(-1)*g))/g))**22 assuming g is positive.
g**(-14356/5)
Simplify ((v*v**22)**(-2/5)*(v/v**7*v*v)**(-1/17))**(-14/13) assuming v is positive.
v**(10668/1105)
Simplify f**(-8/3)/(f**(24/11)*f)*f**(-8/5)*f*f*f**(-5/13)*f assuming f is positive.
f**(-10367/2145)
Simplify (a**(2/9))**46*(a/((a/(a**1*a))/a))/a**(2/5)*(a**(-8)*a)/(a*((a**(-4)*a)/a)/a)*a**(-2/5)*a*a**(2/5)/a assuming a is positive.
a**(442/45)
Simplify ((h**(1/2))**(-4/19)*(h**(1/10)*h*h)/(h/h**2))**(-5/2) assuming h is positive.
h**(-569/76)
Simplify ((w**(-1))**(22/5))**(4/37)/((w**(-2/3))**14*(w**(-2/5)*w)**22) assuming w is positive.
w**(-482/111)
Simplify n*n*n*n/(n/(((n/(n/((((n**6*n*n)/n)/n)/n)))/n)/n))*n**0*((n*((n*n**16)/n*n)/n)/n)**15 assuming n is positive.
n**246
Simplify (((u**15*u)**11)**(1/15))**(-3/41) assuming u is positive.
u**(-176/205)
Simplify ((p**(9/5)*p/(p*p*p**9)*p**10*p**(-1/3))**(-19/2))* | {
"pile_set_name": "DM Mathematics"
} |
e -3*i + d = -2*w, -5*i + w + 8 + 7 = 0 for i.
3
Let t = -361 - -367. Solve 0 = w + 2*w, t = -2*y - 2*w for y.
-3
Suppose 15 = 5*f - 7*a + 12*a, 0 = a - 1. Solve f*l - 3 = 3*o + 5, -2*o - l = 3 for o.
-2
Suppose -3*j - a + 19 = 0, -21*a - 17 = -5*j - 19*a. Solve 2*l = -4*w + 2*w + 20, j*w - 15 = 2*l for w.
5
Let u be (-6)/(-63) - (-1872)/189. Solve -5*m = 3*g + 20, 5*g - 2*m - u = -2 for g.
0
Let g = -9 + 11. Suppose h + c - 6 = 0, -5*h - 5*c + 24 = -g*c. Suppose h*y - 11 = 1, -26 = -2*a - 3*y. Solve -a = -b + 3*i, -4*i + 3 + 5 = 3*b for b.
4
Suppose -2*j = -5 + 1. Let g(m) = 4 - m**j - 4*m + 12*m - 2. Let p be g(8). Solve t = 5*z - 24, p*t - 5*t + 5*z - 22 = 0 for t.
1
Let q = -6 + 8. Let h be (1/1)/((-7)/126). Let k = h + 22. Solve -3*o = -q*y + 9, 4*y + y = k*o + 12 for o.
-3
Suppose -2*f - 34*i + 33*i + 5 = 0, 3*i = 5*f - 18. Solve 3*v = f*c + 6, -v - 2 - 1 = 4*c for v.
1
Suppose -4*u + 8*u + 15 = 5*g, 3*u + 6 = 3*g. Let j be 280/30 - (-4)/(-3). Suppose -4*h - j = 0, 0 = -m - h - 2. Solve 3*n = 2*n + b - g, m = 5*b - 20 for n.
-3
Suppose 0 = -58*q - 7*q. Let u be -4 - -3 - (-1 + -4). Solve 2*p = 3*p - 2*y - 9, q = -p - u*y - 21 for p.
-1
Let k be (-129)/(-21) - 4/((-56)/(-2)). Suppose -58 = -k*b + 2*b + j, 2*b - 5*j = 38. Solve -b = 2*m - 2*o - 2, -3*m - 2*o = 8 for m.
-4
Let y be (-10)/((-20)/(-14)) + 10. Solve 0 = -2*j + y*v - 6*v, v = -2*j for j.
0
Let c be (-22)/(-4) - 33/(-22)*-1. Solve -10 = u - 5*v, 0*u - c*u = 5*v - 10 for u.
0
Let q be (12/14)/((-6)/(-42)). Suppose q*c = 37 + 5. Solve -6 = 4*u - x, -x = -3*u + x - c for u.
-1
Suppose -5*i = -26*i + 84. Solve i*x = -3*b + 1, b = -4*x - 0 - 5 for b.
3
Let x(r) = 2*r**2 + 33*r - 27. Let o(s) = s**2 + 17*s - 14. Let h(f) = -7*o(f) + 4*x(f). Let l be h(-14). Solve w - 2*u = -4, -4*w + l*u - 2 = w for w.
2
Let t(a) = -a**2 + 4*a + 16. Let r be t(-2). Solve -5 = r*m - 3*q, -3*m - 4 + 13 = 2*q for m.
1
Let n(q) = q**3 - q**2 - 2*q + 3. Let h be n(2). Solve -15 = h*a + 3*p, 10*p - 8 = -2*a + 14*p for a.
-2
Let a = -1470 - -1475. Solve -i = -3*t - 2, 0 = -a*i - 4*t - 12 + 3 for i.
-1
Let w(d) = 29*d + 205. Let c be w(-7). Let u = -18 - -19. Solve 3*k = 5*t + 8, 3*k = c*k - 2*t - u for k.
1
Let w be 126/12*(-8)/3. Suppose -2*g + 21 + 61 = 0. Let z = w + g. Solve -3*t + 8 = 3*i + 26, 3*t - 2*i = -z for t.
-5
Let a(h) = -2*h**2 + 5*h + 4. Let g be a(0). Solve 0 = -2*k + 3*f + 5, 2*k + f - g = -3*k for k.
1
Let i(w) = w**3 - 3*w**2 + 2*w - 1. Let q be (-1 - -1 - -3)*4/4. Let y be i(q). Solve 15 = y*p + 5*t, -2*p - 2*t = -t - 8 for p.
5
Suppose -4 = -3*v - 5*y, -1 = -v + 2*y + 4. Suppose -5*d + v*d + 6 = 2*r, -d = -r + 1. Solve 0 = -r*b + 2*n - 14, 2*n + 4 = -6*b + 2*b for b.
-3
Let z be 25 - (-10 + 11)*(-1 + -1). Solve 5*y = v + z, -3*v + y - 9 = -v for v.
-2
Let r be -3 + 3/(4 - 1). Let n = 10 - r. Suppose 4*h + n = 0, 0 = w + h - 0 + 1. Solve 0 = j - 0*j - 3*q - 7, -j = w*q + 8 for j.
-2
Let w = 928 + -926. Solve 4*y + 16 = -w*a, -2*y = -y + 3*a - 1 for y.
-5
Suppose -2*w + 2 = -4*w. Let t be w - 2 - ((-69)/3 - -2). Let s = -6 - -11. Solve -3*z - 5*y + t = 0, s*z - 11 = -0*z - 2*y for z.
1
Let g(k) = -5*k - 20. Let a(i) = i**3 + 5*i**2 - 21. Let y be a(-4). Let h be g(y). Solve -3*p - 5*r = -0*p - 11, -20 = -h*r for p.
-3
Let r = 49 - 45. Suppose m - 14 = j - 4*j, m - 17 = -r*j. Solve -5*b + 2*h - 2 = 0, -h = -m*h - 16 for b.
-2
Let k = -1089 + 1090. Solve -5*b + 5*l = k + 4, 0 = -4*b + l - 7 for b.
-2
Let f be 0/((-2*2)/(-2 - -4)). Let o(m) = -m**2 + 2. Let x be o(f). Solve -i + 1 = 4*h, 4*h - 4*i = -x*i + 10 for h.
1
Let x(a) = a. Let y be x(-3). Suppose -10 = 13*c - 15*c. Let m be c + y*2/3. Solve 0 = -m*u - 4*j - 25, 0 = 3*u + u - 2*j + 4 for u.
-3
Let o = -2 - -4. Let w(n) = -n**2 - 15*n - 11. Let s be w(-14). Solve o*l + 1 = -s*z, l = 2*l - z + 8 for l.
-5
Suppose z - 2*n = -3*n, -18 = -2*z + 4*n. Suppose 2*r + 1 - z = 0. Solve 5*k = f + 24, 0 = 2*k + 5*f - r + 13 for k.
4
Let w be (5 + (5 - 18))*(-20)/8. Solve -a + 10*b - w = 6*b, -3*a = -2*b + 10 for a.
0
Suppose 3*h = -3, 0*b - b = 2*h - 3. Solve 0 = -o - 3*q - b, -2*o = 3*q - 4*q + 10 for o.
-5
Let v be (3*-4)/(-2 - -1). Let g(s) = -2*s + s - 2*s**2 + 5*s**2 + s**3 + 3*s**2 + 3. Let u be g(-6). Solve b = -2*p + u, 6*b - v = 4*p + 2*b for p.
2
Suppose 2*i + 8*h - 12 = 5*h, 0 = i - 5*h + 20. Solve 0 = -2*n + 3*b + 17, n - b - 7 = -i*b for n.
4
Suppose -16*u = -339 + 51. Solve 0 = -3*t + 5*n - 3 + u, 3*n = t - 5 for t.
5
Let n be (-4 - -16)/(-3) - -5. Let l(j) = 2*j**2 - j + 2. Let o be l(n). Solve -2*i + t = -2, -2*i + 10 = -o*t - 2*t for i.
0
Let f(p) = 2*p**3 - 33*p**2 - 54*p + 2. Let g be f(18). Solve -u - 2*k + 7 = 0, 0*k + k - 8 = -g*u for u.
3
Suppose 22*h - h = 588. Solve 5*f = -2*c - 15, -5*c - h = 4*f - f for c.
-5
Let o(m) = -m**3 + 5*m**2 + 8*m - 7. Let v be o(6). Let x = v + 0. Suppose -10 = -4*w + x*q, -2*w + 12 + 0 = q. Solve -3 = -i + 3*l + 1, -w*i = l - 4 for i.
1
Let c(a) = a**2 - a + 3. Let v be c(2). Solve -7*x - v*y + 15 = -2*x, 2*x = y + 3 for x.
2
Let w = 19 - 37. Let v = w - -21. Suppose 3*b + v*u = 7 - 4, 8 = -4*u. Solve -5 = -3*l + d, b*l - 4*l - 2*d = 10 for l.
0
Suppose 2*d + 12 = -34. Let n = d + 27. Solve 4*w = w + 2*q + 6, -n*q + 2 = w for w.
2
Let d(g) = 12*g + 9. Let l(h) = -h - 1. Let x(o) = d(o) + 9*l(o). Let n be x(5). Let b(y) = -y + 17. Let k be b(n). Solve w = -5*z - 24, -z = k*z - 3*w for z.
-4
Let h be 30/4*(125/(-15) - 5). Let r be (0 + (-5)/(h/(-8)))*-10. Solve -2*b + r = 2*d, -2*d = 7*b - 2*b - 19 for b.
5
Let v = -15 - -51. Suppose -v*n + 39*n = 60. Let r(d) = d**3 - 3*d**2 + 1. Let j be r(3). Solve -n = -2*y + 5*t - 8, y = -t - j for y.
1
Suppose 10 = 5*k - 0. Let g be 423/108 + 3/36. Suppose -3*q - 4 = -b - 3, 2*q = 2. Solve -2*o - k*m = 2 - b, 4*o - g = -m for o.
1
Let g(f) = 6*f + 77. Let d be g(-12). Solve d*x - 2*c = 18, x = -2*c - c + 7 for x.
4
Let g = -4 - -2. Let d be (-12)/8 - 3/g. Let l = 7 - d. Solve 3*y + 9 = -4*z, -2*z - l = -0*z - y for z.
-3
Let f = -3090 - -3095. Solve -4*q + 2*h = -10, f*h + 2 = -3*q - 10 for q.
1
Let l be -42*((-18)/4 + 4). Let k = l - 19. Suppose 5*o + 0*v - 4*v - 25 = 0, 2*o - k*v = 8. Solve 8 = -4*m, z + 3*m - o = 6*m for z.
3
Let h = 994 - 987. Solve y + 2*w = -0*y - h, 5*y - w - 9 = 0 for y.
1
Suppose -58 + 22 = -9*l. Solve -l*x + 15 = -5*v, -v - 3 + 0 = -3*x for x.
0
Let g be (-8)/3 + (-10)/(-15). Let t(q) be the first derivative of -3*q**2/2 - 3*q - 3. Let f be t(g). Solve 3*k - 5*k - 5*n + 6 = 0, 12 = -3*k + f*n for k.
-2
Let m(g) = -g**2 - 12*g - 9. Let z be (1 - 1) + (1 - 0). Let q be (23 - z)*4/(-8). Let v be m(q). Solve -j + v*o + 12 = 0, -4*j + o = -2*j - 12 for j.
4
Suppose -53*d + 43*d + 420 = 0. Solve 5*l - 10 = 4*v - d, 0 = -4*v + 12 for l.
-4
Let h(s) = -10*s - 230. Let m be h(-23). Solve r = -2*g - m*g - 2, -5*g + 2 = -r for r.
-2
Let l = 225 + -224. Solve 0 = -2*d + 3*w + 2, 2 = 3*d + 5*w - l for d.
1
Let s = -116 - -140. Solve 1 = r - 3, -5*p - s = -r for p.
-4
Let p = -821 - -828. Solve -2*r - 2*k = 0, -4*k - 5 = p for r.
3
Let o = 8 - -2. Let l = -9 + 12. Let a(t) = 4*t + 31. Let x be a(-7). Solve 2 = -2*n - x*v, -n + 5*v = -l*n - o for n.
5
Let k(w) = 2*w**2 - 24*w + 56. Let l be k(9). Solve l*q - 6 = -2*s, 3*q + 2*q = 0 for s.
3
Let h(k) = k**3 - 2*k - 1. Let u be h(-1). Suppose 0 = 2*t + 4*w - 28, -2*w - 245 = 3*t - 267. Solve -5*b - 18 + u = -2*g, t = -2*b for g.
4
Let g = -1233 + 1236. Solve 0 = -3*v, -g*j + 9 = -5*v + 12 for j.
-1
Let t(m) = 43 - 14 - m**2 - 14 - 18 - 6*m. Let v be (4/10 - 0)*-5. Let y be t(v). Solve -y*b - 30 = 3*c, -3*b - c = -3*c - 1 for b.
-3
Suppose -2*k = 4*y - 8, -11*y + 12*y - 2 = -3*k. Solve -y*b = 4*c - b, 0 = -3*c + b - 7 for c.
-1
Suppose 12 = -o - 5*r, -2*o - 4*r - 6 = -0*o. Suppose -1852 = -267*q + 284. Solve -3*x = 4*p - 1, -o*x + 2*p = -q*x + 11 for x.
3
Suppose -3*r + 2*r + 4 = 0. Let t be (-2 + -1)/((2/(-12))/1). Suppose 2*l + l - 2*g = 11, -4*l + g + t = 0. Solve -2*v = -0*v - r*d - 16, 3*v - l*d = 19 for v.
-2
Let r(o) = o**2 - 12*o - 84. Let d be r(17). Solve d = g + b - 0, 0 = 3*g + b - 1 for g.
0
Suppose 0*n + 10 = 2*n + q, 5*n = -4*q + 28. Let b = 8 - n. Let a(j) = j**2 + j + 5. Let w be a(0). Solve w*c + 12 = -3*d, -b*c + 2*d - 6 = 8 for c.
-3
Let j = -1419 + 1423. Suppose 3 = -f, | {
"pile_set_name": "DM Mathematics"
} |
86025, 3*d + l*z + 785985 = 0. Round d to the nearest 10000.
-260000
Suppose 3*q - 424560010 = 5*m, -15*q - 283039990 = -17*q - 5*m. Round q to the nearest 1000000.
142000000
Let k(g) = 657*g + 40. Let a be k(19). Let i = a - 17963. What is i rounded to the nearest one hundred?
-5400
Let q = 3.974 - -0.026. Let v = 401 + -396.848. Let r = v - q. Round r to 2 decimal places.
0.15
Let y be ((-10)/4)/((-60)/144). Suppose 3040 = y*r - 10*r. Round r to the nearest one hundred.
-800
Let b = 18.65442 + -18.75. What is b rounded to two decimal places?
-0.1
Let w(a) = a**3 + 8*a**2 + 5*a - 35. Let t be w(-9). What is t rounded to the nearest 10?
-160
Suppose 192 = -4*p - 1136. Let l = p + 138. What is l rounded to the nearest 10?
-190
Let y = -3310 - -3309.99993589. What is y rounded to 5 dps?
-0.00006
Let a = 1869 - 1876. What is a rounded to the nearest 10?
-10
Suppose 59 - 68 = -3*k. Let f be (-1)/5 + 1902/10. Suppose -k*v + 5*x + f = 14, 5*x = 25. What is v rounded to the nearest 10?
70
Let f = -10 + 11.2. Let c = -22.92125 + 21.72. Let v = f + c. Round v to four decimal places.
-0.0013
Suppose -5*i + 0*l - 67016 = 4*l, 0 = -3*i - 5*l - 40220. Round i to the nearest ten thousand.
-10000
Let n = 0.25614 + 150.67686. Let g = n - 151. Let s = 0.052 - g. What is s rounded to 2 dps?
0.12
Let v = -1594.152913478 + -0.386496522. Let f = v - -1595.47. Let c = -0.93 + f. What is c rounded to 4 dps?
0.0006
Let v(l) = -732*l**2 - 10*l + 10. Let r be v(-10). What is r rounded to the nearest 10000?
-70000
Let m(a) = -3422*a**3 - 24*a**2 - a - 25. Let v be m(19). Let i = v - -34880206. Round i to the nearest 1000000.
11000000
Let g = -1115 + -6376. Let k = g + 13491. Round k to the nearest 1000.
6000
Let u = 3378 - 3371.988. What is u rounded to one dp?
6
Let d = 303.29 + -301. Let y = d - 2.2899873. What is y rounded to 6 decimal places?
0.000013
Let k be -4 + 3 - (11479998 - -1). What is k rounded to the nearest 100000?
-11500000
Let r = -214.1646656 - -168.16466. Let s = r - -46. Round s to six decimal places.
-0.000006
Suppose -2*t = j - 11119997, 5*t - 2*j = 20020062 + 7779944. What is t rounded to the nearest 100000?
5600000
Let m = -31633823670.74 + 31633825714.740001149. Let f = 2044 - m. What is f rounded to 7 decimal places?
-0.0000011
Let z = 125 + -218. Let n = -92.15 - z. Round n to 1 dp.
0.9
Let q = 3.294 + -3.6. Let x = -0.41 - q. Round x to 2 decimal places.
-0.1
Let k = 12.06 + 2.04. What is k rounded to 1 decimal place?
14.1
Let z = -322 + 321.9963. Round z to 4 dps.
-0.0037
Let v = 36 + -43. Let s = v + 7.013. What is s rounded to two decimal places?
0.01
Let f(l) be the first derivative of 0*l + 2 - 5779/4*l**4 - 1/2*l**2 - 4/3*l**3. Let s be f(-3). What is s rounded to the nearest 10000?
160000
Let i(q) = q**2 - q - 12200000. Suppose 0 = 4*k - k. Let y be i(k). Round y to the nearest one million.
-12000000
Let l be 9/(9/(-4)) - -15. Suppose -10*p + l*p = 700000. Round p to the nearest one hundred thousand.
700000
Let k = -0.79 - -0.4. Let m = k + 0.72. Let q = -0.330013 + m. Round q to 5 dps.
-0.00001
Let z = -471.9999796 + 472. Round z to 6 dps.
0.00002
Let o = -122.7 + 4.7. Let y = o - -117.13. What is y rounded to one decimal place?
-0.9
Suppose 2*s - s = 2. Suppose n - 2*u = -722, s*n - u = 7*n + 3599. Round n to the nearest one hundred.
-700
Let x be 420601/2 + 44/(-8) + 5. What is x rounded to the nearest one thousand?
210000
Let z = -600 - -600.0599. What is z rounded to 2 decimal places?
0.06
Let q = 0.2 - 0.87. Let p = q + 0.6700045. Round p to 6 dps.
0.000005
Let m = 0.0066 + 697.9934. Let j = -697.693 + m. Let n = -0.186 + j. Round n to two dps.
0.12
Let g(k) be the second derivative of k**5/20 - 2*k**4/3 + 7*k**3/6 + 5*k**2/2 + k. Let n be g(7). Suppose n*t - 484 = t. Round t to the nearest 10.
120
Let m = 231.066 - 231. Round m to two dps.
0.07
Let j = 45150.81 + -45343. Let p = j + 191. Round p to the nearest integer.
-1
Let q = 5204.00004093 + -5204. Round q to six decimal places.
0.000041
Suppose 322463 = 8*j + 955263. Round j to the nearest 1000.
-79000
Let t = -95098 - -95098.39991. Let i = 0.1 - 0.5. Let n = i + t. What is n rounded to four decimal places?
-0.0001
Let q = 34 - 43. Let f = q + 8.9997. Round f to four decimal places.
-0.0003
Let y be 250*((-58392)/20 - (-4)/(-10)). What is y rounded to the nearest 100000?
-700000
Let s = 2560.561 - 2562. Let x = s - -0.039. What is x rounded to zero decimal places?
-1
Let b = 0.88 - -105573.12. Let n = -105631.149 + b. Let h = 57 + n. What is h rounded to two dps?
-0.15
Let b = 158557 - 158593.0084. Let m = 47 - 83. Let a = m - b. Round a to three dps.
0.008
Let u = -267 + 267.00014. Round u to 3 dps.
0
Let c = -2.5 + -1.5. Let x = 3.2 + c. What is x rounded to one decimal place?
-0.8
Let p = -7867416 + 21097416. Round p to the nearest one hundred thousand.
13200000
Let p be (-4 + 5)*(3 - 124). Let f = p - 79. Round f to the nearest one thousand.
0
Suppose -1376542 = 16*k + 3383490. Let u be (-22)/(-55) + k/5. Round u to the nearest 10000.
-60000
Let h = 25.03 + -14.43. What is h rounded to zero decimal places?
11
Let q = 385.8 + -658. What is q rounded to the nearest 10?
-270
Let v = -276.46 - -196.25. What is v rounded to 0 dps?
-80
Let c = 4640 + -4667.034. Let t = -27 - c. Round t to 2 decimal places.
0.03
Let t = -641 - -655.8. Round t to the nearest integer.
15
Let g = -0.064 - 25.936. Let r = g + 26.082. What is r rounded to 2 decimal places?
0.08
Let q be (-14)/(-70) - (-11)/(-5). Let o be q/9 + (-224)/(-36). Suppose r - o = 37. Round r to the nearest ten.
40
Let s = -17 - -16.7. Let b = s - -0.300042. What is b rounded to 5 decimal places?
0.00004
Let b = -180966721.8999599 - -180966737. Let s = -15.1 + b. Round s to 6 dps.
0.00004
Let l = -8.89 + 9. Let r = 0.46 - l. Let n = r + -0.34999994. What is n rounded to 7 decimal places?
0.0000001
Let r = 331.5 + -322. What is r rounded to the nearest 10?
10
Suppose -8*v + 10*v = 50. Suppose 22*o + 1686000 = v*o. Round o to the nearest 100000.
600000
Let p = 29 - 44. Let a = p - -17. Suppose -950000 = -i + a*i. Round i to the nearest 100000.
-1000000
Let d be 8/(-32) + (-19123346)/(-8). Let n be (-1)/(-4) - d/72. What is n rounded to the nearest 1000?
-33000
Let s = -32.5302247 - 151554884.4697753. Let p = -151555080.999798 - s. Let k = -164 - p. Round k to 5 decimal places.
-0.0002
Let q be (13 - (-92152)/16)*(0 + 24). Let b = -103051 - 147489. Let j = q + b. What is j rounded to the nearest 10000?
-110000
Let a = 5447.2 + -5451.1737. Let q = a + 4.17. Let v = q - 0.188. Round v to 3 dps.
0.008
Let r = 70.3 - 235. Round r to the nearest ten.
-160
Let h(q) = -60395*q - 75. Let f be h(15). Round f to the nearest 100000.
-900000
Let y = 120.961 - 121. Round y to 3 dps.
-0.039
Let c = -2521190 - -5749999. Let y = 2387315 + -216126. Suppose -o - 5*u = -1800010, 0 = 3*o - u - c - y. What is o rounded to the nearest 1000000?
2000000
Let z = 31.84 - 31. Let s = -0.7 + z. Let o = s - 0.052. What is o rounded to 2 decimal places?
0.09
Let s = 1.17 + -0.79. Round s to 1 dp.
0.4
Let x = 39 + -27. Let h = x - 12.3. Let i = h + 0.29956. Round i to four dps.
-0.0004
Let l = -421783873.9974 + 421740326. Let q = -43571 - l. Let h = q + 23. What is h rounded to three dps?
-0.003
Let v(b) = -6*b**3 + 4*b + 3. Let p be v(-1). Let c be (-21600004)/6 + (20/6)/p. Round c to the nearest 100000.
-3600000
Suppose -20 = -x - 3*x. Suppose 4*z + x*g = 1, -1 = -2*z - 5*g - 8. Let o be 2/(((-24)/213)/z). Round o to the nearest ten.
-70
Let s be 17380/(-6)*(-483)/(-322). What is s rounded to the nearest 100?
-4300
Let k be (-3561)/7 - ((-14)/(-49) + 0). Let o = k + 889. What is o rounded to the nearest 100?
400
Let x be 24/(-20)*10/(-2). Suppose -3*m - 123879 = -x*m. Suppose -8793 + m = -5*u. Round u to the nearest 1000.
-7000
Let g = -83208.017 + 83148. Let y = 60 + g. Round y to three dps.
-0.017
Let j = -9 + -26. Let y = j - -34.908. What is y rounded to 2 dps?
-0.09
Suppose -2 = -5*u - 3*v, v - 26 = 3*u - 4*v. Let a be 3 + -5 - 2*u. Suppose -a*q = j - 46, 43 = 4*j + 2*q - 141. What is j rounded to the nearest ten?
50
Let r = -608 + 608.40288. Let g = -0.4 + r. Round g to four decimal places.
0.0029
Let l = -115.89997949 + 115.9. Round l to 5 de | {
"pile_set_name": "DM Mathematics"
} |
1647, 4 in increasing order.
-0.1, 4, 1381647
Put 0, 1, 8, -2, 5, -245 in descending order.
8, 5, 1, 0, -2, -245
Sort 10, -212, 2, 43, 3, -1 in ascending order.
-212, -1, 2, 3, 10, 43
Sort -4, 0, 88, -43, 2 in descending order.
88, 2, 0, -4, -43
Sort -4, 14, 1, -2, -689.
-689, -4, -2, 1, 14
Sort -0.2, 3/37, -1, 0, 5, 11 in ascending order.
-1, -0.2, 0, 3/37, 5, 11
Put 95.7, -32, -5, -1/4, -1/45 in descending order.
95.7, -1/45, -1/4, -5, -32
Put -1, -14, 596, 3, -106, -5, -3 in ascending order.
-106, -14, -5, -3, -1, 3, 596
Sort 1, 4002, 4 in ascending order.
1, 4, 4002
Sort -41, 0.4, -2/5, 8.445 in decreasing order.
8.445, 0.4, -2/5, -41
Put 27, 0.2, -0.5, -822, -1, 5 in ascending order.
-822, -1, -0.5, 0.2, 5, 27
Sort -134, 1, -4, -26, -5, 5 in descending order.
5, 1, -4, -5, -26, -134
Sort -5, 0.5, -116934.009 in decreasing order.
0.5, -5, -116934.009
Sort 0.4, -8/15451, -2/5, 0.25 in increasing order.
-2/5, -8/15451, 0.25, 0.4
Sort 1, -13, -16, 14, -18 in descending order.
14, 1, -13, -16, -18
Sort -5, 6, 16, 9, -6, 4, -2.
-6, -5, -2, 4, 6, 9, 16
Put 9, -5, 3, 5, -49, -17, 11 in decreasing order.
11, 9, 5, 3, -5, -17, -49
Sort 1, -3, -9, -913, 3, 114, 5 in decreasing order.
114, 5, 3, 1, -3, -9, -913
Sort -91, -3882, -9, 4.
-3882, -91, -9, 4
Sort -0.7, 0.056, 3060.
-0.7, 0.056, 3060
Sort 3827, 173, 8, -5.
-5, 8, 173, 3827
Put -3, 3, -2, 62082, 4 in increasing order.
-3, -2, 3, 4, 62082
Put -3, -1195, -11464 in descending order.
-3, -1195, -11464
Put -1369, 0, 1, -34, 2, -4 in increasing order.
-1369, -34, -4, 0, 1, 2
Put 0.2, -3/10, 0.351, -2/7, 2, 16 in decreasing order.
16, 2, 0.351, 0.2, -2/7, -3/10
Put 0.668, -1/4, 3, -1/35 in descending order.
3, 0.668, -1/35, -1/4
Sort 1, -3, 7058, -46, -4, 4 in decreasing order.
7058, 4, 1, -3, -4, -46
Put 4, 0, 2, 1, 420, 3 in decreasing order.
420, 4, 3, 2, 1, 0
Sort 158553, -5, 51 in ascending order.
-5, 51, 158553
Sort 130, -2, 2156, 0 in ascending order.
-2, 0, 130, 2156
Put -4, 36, 2, -552770 in descending order.
36, 2, -4, -552770
Sort -7, 3, 19, 4, 1, 2, -4 in descending order.
19, 4, 3, 2, 1, -4, -7
Sort 12, 3, -13759, 4 in descending order.
12, 4, 3, -13759
Sort -48, -2105, 2 in descending order.
2, -48, -2105
Sort -7, -5, -126, 14, -2, 440 in descending order.
440, 14, -2, -5, -7, -126
Sort 17, 3, 20, 0, -5, -1 in ascending order.
-5, -1, 0, 3, 17, 20
Put -3, 2, -2, -111634243 in descending order.
2, -2, -3, -111634243
Sort -2, 10, 2, -33, -2/1697 in descending order.
10, 2, -2/1697, -2, -33
Sort 0.02, 2, -1/286, -2/17, 49 in descending order.
49, 2, 0.02, -1/286, -2/17
Put 0.068, -2, -3/316 in increasing order.
-2, -3/316, 0.068
Sort 9865, 98, 2/9.
2/9, 98, 9865
Sort 4, -5280, -3, -124.
-5280, -124, -3, 4
Put -10, -41/3, -18498 in increasing order.
-18498, -41/3, -10
Put -5, -9505142, 4 in ascending order.
-9505142, -5, 4
Put -12.09, 3, 50 in ascending order.
-12.09, 3, 50
Sort -5, 4, -515, 5, 2, -28, -18 in decreasing order.
5, 4, 2, -5, -18, -28, -515
Sort 1, 246925, -44 in descending order.
246925, 1, -44
Put 1, 5046, -22, 11 in decreasing order.
5046, 11, 1, -22
Sort 0.3, 15/4, 0.2, -1.335, -2/11 in decreasing order.
15/4, 0.3, 0.2, -2/11, -1.335
Put 4, 64/11, -22602 in ascending order.
-22602, 4, 64/11
Put 3, 975, -674 in ascending order.
-674, 3, 975
Put -5, 5, 4, 196, 10, -83 in increasing order.
-83, -5, 4, 5, 10, 196
Put 2/13, -2, 0.3, 7444/559 in ascending order.
-2, 2/13, 0.3, 7444/559
Sort 711, 1, -5, -4, -2, -1, 64 in increasing order.
-5, -4, -2, -1, 1, 64, 711
Sort -3, 0, -1/6, 1.3861007 in increasing order.
-3, -1/6, 0, 1.3861007
Sort 4, 0, 3610, 2, 201.
0, 2, 4, 201, 3610
Sort 4, 12501, 286.
4, 286, 12501
Put -3849, -3/2, 8724 in decreasing order.
8724, -3/2, -3849
Put 1, -17, -2450011 in descending order.
1, -17, -2450011
Put -1/132, 4, 1/6, 1, 3405 in ascending order.
-1/132, 1/6, 1, 4, 3405
Put 4/5, 0, 1, -0.14, -71, -4, -3 in descending order.
1, 4/5, 0, -0.14, -3, -4, -71
Put -2, 1840, 8, -4 in ascending order.
-4, -2, 8, 1840
Put -626, 4, -55.564 in increasing order.
-626, -55.564, 4
Sort -2, 880, 1, 0, -4, 230, 4.
-4, -2, 0, 1, 4, 230, 880
Put -1.5, 25/37, 5, 15, 3/5 in descending order.
15, 5, 25/37, 3/5, -1.5
Put -4, -2, 5, -5, 56, 29, 198 in decreasing order.
198, 56, 29, 5, -2, -4, -5
Put 1, 2716, 4, 174 in descending order.
2716, 174, 4, 1
Sort 1708, 3, -1, -43, 4 in increasing order.
-43, -1, 3, 4, 1708
Put 2, 422, 54, -1, 7, 1, -2 in descending order.
422, 54, 7, 2, 1, -1, -2
Sort -4, -13892, 0, 21 in decreasing order.
21, 0, -4, -13892
Put -1, -39, -12, 3 in increasing order.
-39, -12, -1, 3
Put -1, 0.4, 1317644, -51, -0.3 in decreasing order.
1317644, 0.4, -0.3, -1, -51
Put 3/4, -1/17, -0.26, 3, 0.111, 4 in ascending order.
-0.26, -1/17, 0.111, 3/4, 3, 4
Sort 1, -4, -53, -5, 4062 in ascending order.
-53, -5, -4, 1, 4062
Put -1440, -224, 2, 0.5, 1, -0.5 in decreasing order.
2, 1, 0.5, -0.5, -224, -1440
Put -7, -866, -1, 100, 5 in descending order.
100, 5, -1, -7, -866
Sort -2, 4, -521, 2, 0, 197 in increasing order.
-521, -2, 0, 2, 4, 197
Sort 3, 332533, -3, -5 in decreasing order.
332533, 3, -3, -5
Sort 1, -167/5, -5, 401.6 in descending order.
401.6, 1, -5, -167/5
Sort -8, 91, -2, -990, -5, -7 in descending order.
91, -2, -5, -7, -8, -990
Put 0.3, 7370, -0.308 in descending order.
7370, 0.3, -0.308
Sort 184, 3, 11, 5775, -2, -1 in ascending order.
-2, -1, 3, 11, 184, 5775
Put -0.2, 4, -655.343 in ascending order.
-655.343, -0.2, 4
Put -4, -1, -6, 737, 0, -98, -5 in decreasing order.
737, 0, -1, -4, -5, -6, -98
Sort 4, -17143, -4, 0, 5, -3, 3 in increasing order.
-17143, -4, -3, 0, 3, 4, 5
Put 0.04, -14, 64, -0.243, 1 in descending order.
64, 1, 0.04, -0.243, -14
Sort -1, 4, -18, 3, -4110, -5.
-4110, -18, -5, -1, 3, 4
Put 1, -2431, 35, 4, 5, -1, -2 in decreasing order.
35, 5, 4, 1, -1, -2, -2431
Sort -54198, 2, 19, 3 in descending order.
19, 3, 2, -54198
Put 1461, -5, -382 in descending order.
1461, -5, -382
Put -19, 737, 2, 1, 22 in decreasing order.
737, 22, 2, 1, -19
Sort 3.878, -174/65, 0.5 in increasing order.
-174/65, 0.5, 3.878
Put -0.2, -1/36, -1494.093 in descending order.
-1/36, -0.2, -1494.093
Sort 1/4, 2/11, 40852/65747 in decreasing order.
40852/65747, 1/4, 2/11
Sort -259, -88, 11 in decreasing order.
11, -88, -259
Sort 2, -1, 3, -7, 3822, 0 in decreasing order.
3822, 3, 2, 0, -1, -7
Sort 3, -2, 5, 316, -874 in increasing order.
-874, -2, 3, 5, 316
Sort 2259, 4, -1/5, 1/3, 0.2, 76 in ascending order.
-1/5, 0.2, 1/3, 4, 76, 2259
Sort -0.4, -26, -100894/3, -4.
-100894/3, -26, -4, -0.4
Sort 3, 1, 44350, 2, -4, -1, -2.
-4, -2, -1, 1, 2, 3, 44350
Put -5516, -44, -5, 2, -1 in increasing order.
-5516, -44, -5, -1, 2
Sort -482, 5, -5, 2, 3, 227, -3 in decreasing order.
227, 5, 3, 2, -3, -5, -482
Sort -0.2, -114, -0.03, 3, 0.5, 2/7 in decreasing order.
3, 0.5, 2/7, -0.03, -0.2, -114
Put -5, -24, 1202 in ascending order.
-24, -5, 1202
Sort 0.24, -12427, 1 in ascending order.
-12427, 0.24, 1
Put 8, -4, -3, -10, 0, -186 in ascending order.
-186, -10, -4, -3, 0, 8
Sort 14, 7471, 9 in increasing order.
9, 14, 7471
Sort 3/5, 0.3, 79/4, -53/5, -1, 4.
-53/5, -1, 0.3, 3/5, 4, 79/4
Sort 5287, 3, 4, -2, -23.
-23, -2, 3, 4, 5287
Sort -2/17, 44, -54.6, 3.4 in ascending order.
-54.6, -2/17, 3.4, 44
Sort 6, 5, 34, 4, 2, -4, -57 in descending order.
34, 6, 5, 4, 2, -4, -57
Put -1384912, -3, -258 in descending order.
-3, -258, -1384912
Sort 3, -30, -1064, -1, -3, -2, -25 in descending order.
3, -1, -2, -3, -25, -30, -1064
Sort 0, -4, -5, 2, -2, -9, 436 in decreasing order.
436, 2, 0, -2, -4, -5, -9
Sort -1/6, 0.4, -3/589787 in descending order.
0.4, -3/589787, -1/6
Put -6072, -12.73, 0.3 in increasing order.
-6072, -12.73, 0.3
Sort -5, -3, -319858, 3, -7, -1, 4 in decreasing order.
4, 3, -1, -3, -5, -7, -319858
Sort 6, 3242588, 1.
1, 6, 3242588
Sort 4.9775, 1, 5, -0.2, -6, -4 in decreasing order.
5, 4.9775, 1, -0.2, -4, -6
Sort 3110674, -5, -8, 2 in decreasing order.
3110674, 2, -5, -8
Sort 35, 5, 10939, 1, -2 in decreasing order.
10939, 35, 5, 1, -2
Sort 5, 69, -831, -3556 in descending order.
69, 5, -831, -3556
Put 1, -44, 8, -5, -3, 82 in descending order.
82, 8, 1, -3, -5, -44
Sort -750072, -8, -3 in ascending order.
-750072, -8, -3
Put -1255, 0.3, 4, 2, 0, - | {
"pile_set_name": "DM Mathematics"
} |
uppose -561*b = -552*b - 2187. What is the remainder when b is divided by 235?
8
Let b(n) = -6*n + 23. Let g be b(3). Let m be ((-8)/g)/(15/25 + -1). Calculate the remainder when 249 is divided by 54/m*12*(-3)/(-27).
15
Suppose -2*f = -3*f. Suppose z + 2*j - 29 = 4*j, -3*z + 77 = 4*j. Calculate the remainder when (f - -1 - 2)*-106 is divided by z.
25
Suppose 235 = w + 2*w - 4*p, 2*p - 85 = -w. Calculate the remainder when 1295 is divided by w.
80
Suppose -x - 1066 = -14*x. Let n = x + 72. What is the remainder when n is divided by 32?
26
Let t = -220 + -91. Let n = t - -406. Calculate the remainder when n is divided by 11.
7
Calculate the remainder when (-1 + 913/7)/((-5)/(-70)) is divided by 121.
118
Suppose 23188 = -18573*x + 18584*x. Calculate the remainder when x is divided by 57.
56
Suppose 5*u - 365*h - 998 = -363*h, u - 232 = 4*h. Let y(w) = -w + 4. Calculate the remainder when u is divided by y(-5).
7
Let t(g) = -2*g + 34. Let l(d) = -d + 17. Let o(z) = -15*l(z) + 6*t(z). What is the remainder when o(19) is divided by 4?
2
Calculate the remainder when 82 is divided by (6/(-30)*34)/((-8)/60).
31
Suppose 31*p = 25*p + 900. Suppose -231 = -3*a - p. What is the remainder when 348 is divided by a?
24
Calculate the remainder when (70/100 + (-9)/(-30))*(1 - -996) is divided by 7.
3
Let w(u) = 6*u**3 - 3*u**2 + 4*u + 5. Let n be w(-3). Calculate the remainder when ((-9)/(-18))/((-2)/n) is divided by 12.
1
Let o be (-7 - -4)/(2/(-14)). What is the remainder when 6/o + 9 + 4015/35 is divided by 35?
19
Let a(c) = 23*c - 689. What is the remainder when 515 is divided by a(32)?
45
Suppose -11*x + 2132 = 1228 - 2671. Calculate the remainder when x is divided by 126.
73
Suppose z - 2*s - 33 = 0, -2*s = -z + 3*z - 96. Suppose -z*d = -47*d + 112. What is the remainder when 102 is divided by d?
18
Suppose 3*d = -6*g + 7*g + 1615, 2*d + 8*g - 1016 = 0. What is the remainder when 1086 is divided by d?
14
Suppose -5*v + 67 + 2 = -4*c, 0 = -5*v + 2*c + 67. Calculate the remainder when 4223 is divided by v.
11
Suppose -74*q + 364 = -70*q - 2*c, 4*q - 360 = 3*c. What is the remainder when q is divided by 32?
29
Suppose -30*p = -83*p + 42*p + 1441. Calculate the remainder when 382 is divided by p.
120
Let x = 105618 - 105516. Let l be (6/(-4))/(3/(-30)). Suppose 3*g - 24 = l. Calculate the remainder when x is divided by g.
11
Let s(g) = -g**3 - 10*g**2 + 46*g + 518. Calculate the remainder when 1857 is divided by s(-10).
1
Suppose 64*h - 70707 = -47*h. Calculate the remainder when h is divided by 129.
121
Suppose 5*v - 54 = 2*p + 31, -2*p + 17 = v. Suppose 105 + 6 = 3*t. Let z = t - 12. Calculate the remainder when z is divided by v.
8
Let l = -1 + 4. Let g(z) be the first derivative of 7*z**2/2 + 5*z - 1274. Calculate the remainder when 127 is divided by g(l).
23
Suppose -5*s - 3*a = -88, 2*a = -2*s + 40 - 8. What is the remainder when 733 is divided by s?
13
Let n(g) = g**3 + 11*g**2 + 10*g + 148. Calculate the remainder when n(-7) is divided by 165.
109
Suppose 667*s = 1466299 - 71602. Calculate the remainder when s is divided by 519.
15
Calculate the remainder when 1132 is divided by 3 + (-138)/(-21) + (-8)/14.
7
Let u(f) = 2*f**3 + 12*f**2 + 4*f - 12. Let j be u(-5). Let b(x) = x**2 - 10*x - 71. Calculate the remainder when 215 is divided by b(j).
69
Let o be 1122/(7 + -13) - (2 - -2). Let t = -161 - o. Let r(x) = x**2 - 4*x - 10. Calculate the remainder when t is divided by r(7).
8
Let a(v) = 10*v - 71. Let i be a(19). Let c = i - 107. Calculate the remainder when c is divided by 9.
3
Let h = -295 - -483. Let z = h + -176. Calculate the remainder when z is divided by ((-30)/18)/(1/(-3)).
2
Calculate the remainder when 339 is divided by ((-1)/14)/(5/(-4910)) - 203/1421.
59
Let u(z) = z**2 - z - 1. Let c be u(-2). Calculate the remainder when 99 is divided by 1/((-10)/(-178)) + 1/c.
9
Suppose 0*m + 8 = m. Let n(k) = -k**3 - 4*k**2 - 5*k - 5. Let u be n(-5). Suppose -u = 12*v - 129. Calculate the remainder when m is divided by v.
1
Suppose -3*b - 13 + 48 = x, -5*x + 3*b + 139 = 0. Let k(f) = 150*f**3 + f**2 + 8*f - 9. Let q be k(1). What is the remainder when x is divided by -30*18/q*-5?
11
Let f be (-7 + (-10)/(-8))*-368. What is the remainder when (1 - (-26)/(-22)) + f/22 is divided by 87?
9
Let g = 531 - 538. Suppose -3*n = 2*b - 41, -4*n - 34 = -2*b - 0*b. What is the remainder when b is divided by g*1 + -20 + 38?
8
Let s be 0 - 1/(2/(-338)). Suppose 0 = 2*y - 23 - s. What is the remainder when y is divided by 11?
8
Calculate the remainder when 682 is divided by (-3)/(-7) + (-9)/(-21) + 339/21.
2
What is the remainder when 14 is divided by 8/((-280)/(-21)) - (-546)/65?
5
Suppose 2*x + 4*l = 56 - 46, 5*x - 30 = -5*l. Suppose -x*n = 1 - 85. Calculate the remainder when (-93)/(-2) + (-2)/(-4) is divided by n.
11
Let o(m) = m**2 + 21*m + 10. Let x(w) = w**2 - w + 5. Let p(j) = -o(j) + 4*x(j). Calculate the remainder when 167 is divided by p(10).
47
Let m = 21058 + -20745. Calculate the remainder when m is divided by 3.
1
Let z = 406 - 402. Suppose -7*a + 545 = -2*a + 4*q, -4*a + z*q + 400 = 0. What is the remainder when a is divided by 37?
31
Suppose 2*y - 3*n = 9, 4*n + 0 = -5*y + 11. Let i(u) = -107 - 100 + 208 + 4*u. What is the remainder when 48 is divided by i(y)?
9
Calculate the remainder when 358 is divided by 289/2 - (8 - (-240)/(-32)).
70
Suppose -30 = -0*r - 5*r. Let a(l) = 2*l**2 - 11*l - 2. Let d be a(r). Let m(s) = 2*s**2 + s + 2. What is the remainder when 149 is divided by m(d)?
35
Suppose -5*i = -g + 91 - 73, -11 = -g - 2*i. What is the remainder when 433 is divided by g?
4
Suppose 2*o - 482 = -5*i - 133, 2*i = 2*o + 134. Let j = i - 63. What is the remainder when 22 - ((-2 - 2) + 0) is divided by j?
2
Suppose -3*a + 3*u + 6 = -0, -12 = -4*a + 2*u. Suppose -4*v - 2*b = -82, -v = a*b - 13 - 18. Calculate the remainder when 164 is divided by v.
12
Suppose 472*f + 15204 = 486*f. What is the remainder when f is divided by 3?
0
Let c be 3/(-9)*(-9 + 6)*82. Let w = c - -23. Suppose 4*g - w = -5*n + 2*g, -5*n - 3*g = -105. What is the remainder when 61 is divided by n?
19
Let u be (-99)/(-27) + (-6)/9. Suppose -2*q + 5*m - 3*m + 26 = 0, 3*q + u*m = 15. What is the remainder when 93 is divided by q?
3
Suppose 0 = -6*c + 298 - 94. Let o be (-29 + c)*4/5. Suppose -d + 27 = -o. Calculate the remainder when 61 is divided by d.
30
Suppose 3*b - k - 201 = 2*k, 0 = 2*k + 4. Let d = b - 3. Suppose 0 = 2*x + 3*z - d, 2*z + 203 = 5*x + 10. What is the remainder when x is divided by 20?
17
Let r = -6872 + 6969. What is the remainder when r is divided by 61?
36
Suppose k + 36 = 3*k. Suppose 4*i + 2*i = -2274. Let l = 480 + i. Calculate the remainder when l is divided by k.
11
Let r(w) = -4*w + 3. Suppose -35*d = -2*d - 297. Suppose 5*p = -4*a + 585, -3*p + 388 = -d*a + 4*a. What is the remainder when p is divided by r(-7)?
28
Let y be (111/6)/(3/6). Let p(l) = 2 + 95*l**2 + y*l**2 - 5*l**2 + 3*l. Calculate the remainder when p(-1) is divided by 32.
30
Suppose 65 = -4*l - 55. Let c be (l/(-135))/(1/9). Calculate the remainder when 5/20*c*142 is divided by 25.
21
Let g = -220 + 256. Calculate the remainder when 62 is divided by -17 + 15 - (-5)/(10/g).
14
Let i(x) = 24*x**3 - x**2 + 4*x + 1. Let n be i(2). Let f = 300 - n. Suppose 5*c - f = 52. Calculate the remainder when 91 is divided by c.
29
Suppose -112*f = 6*f + 255 - 6745. Calculate the remainder when 2251 is divided by f.
51
Suppose -495 = 9*a - 24*a. Suppose 4*c - s = 51, -a*s + 53 = 2*c - 28*s. Calculate the remainder when 54 is divided by c.
12
Calculate the remainder when ((-4)/(-6))/(138/288144) is divided by 49.
20
Let y be (-4672)/7 + 162/378. Let a = y - -731. What is the remainder when a is divided by 22?
20
Suppose 2*t - 158 = -12. Suppose t*w = 7*w + 1122. Suppose 0 = -2*g - z + 5 + 8, -4*g + 21 = z. Calculate the remainder when w is divided by g.
1
Suppose 5*o = 6*o - 23. Let h = -45 - -58. Let w = h + o. Calculate the remainder when w is divided by 3.
0
Let y(k) = 6*k + 83. Let h = -2388 - -2422. Calculate the remainder when y(20) is divided by h.
33
Let t(i) = 2*i**3 - 18*i**2 - 9*i - 4. Let d be t(11). Let l = -357 + d. What is the remainder when 25 is divided by l?
1
Let l = -11818 - - | {
"pile_set_name": "DM Mathematics"
} |
w + 12 = -5*a for a.
-4
Let w(o) = -o**2 + 21*o - 30. Let b be w(5). Suppose 5*v + 4*u = 35, v = 5*u - b + 28. Solve -l - v*l = -4 for l.
1
Let r(y) = -4*y**3 - y. Let i(t) be the second derivative of t**4/12 - 10*t**3/3 - t**2/2 + 2*t. Let x be i(20). Let g be r(x). Solve -g*j = -j + 12 for j.
-3
Suppose -9 = b - 3*y, 3*y + 10 = 5*y. Let u be b + ((-8)/(-28))/((-4)/(-238)). Solve -6*t + 5 - u = 0 for t.
-3
Suppose -4*v - 10 = -4*z + 10, -2*v - 4 = 0. Suppose u = -t + 3 + 6, u - z*t - 13 = 0. Solve -4*g - u = -14*g for g.
1
Suppose -4*h = -3*h + 38. Let p = 152 + -110. Let x = h + p. Solve -x = -4*s + 5*s for s.
-4
Suppose 435 = 38*c + 93. Solve -47*a - c = -38*a for a.
-1
Suppose -892 = -19*m - 59*m + 1370. Solve 7*n + m*n = 36 for n.
1
Suppose 25 = 5*d + 5*s, 0 = 5*d - 2*d + 5*s - 19. Let w = -12 + 20. Solve -d*j = -j + w for j.
-4
Let x be (-75)/(-50) + (2 - (-2)/(-4))/3. Solve 38 = x*p - 21*p for p.
-2
Let x(b) = -4*b + 13. Let c be x(0). Suppose -47 = -12*s + c. Solve s*j - 17 = 8 for j.
5
Let f = -30151 + 30231. Solve -f*y + 22*y = 174 for y.
-3
Suppose 0 = -23*v - 507 + 576. Suppose 0 = -4*h + 3*z + 14, 4*z + 8 = -0*z. Suppose v*g = h + 10. Solve 6*i = g*i for i.
0
Suppose 168*d - 152*d = 298 + 2438. Solve -d = 794*u - 813*u for u.
9
Let y(r) = -2*r**2 - 36*r + 13. Let i be y(-20). Let d = -63 - i. Solve -d*k - 10 - 2 = 0 for k.
-3
Let l be (69 + -69)*(-4)/(-24). Solve 22*g - 18*g - 28 = l for g.
7
Let a = -2212 - -2228. Solve 0 = 8*m + 40 + a for m.
-7
Let r be (356/(-2))/(160/(-144)*6/10). Solve 0 = -7*x - r + 218 for x.
-7
Let q be 639/36 - (-8)/(64/18). Let a be 6/(-2) - (-75)/15. Solve -3*y = a*y - q for y.
4
Suppose -2*i = 8, 4*a = 2*i - 9 - 19. Let n(z) = -z**3 - 6*z**2 + 27*z + 3. Let p be n(a). Let d be 3 - 2 - 1*-2. Solve d*l = 18 - p for l.
5
Suppose -4*r = -41 + 5. Let k be 2355/(-27) + 2/r. Let f = k + 92. Solve -f + 25 = -5*u for u.
-4
Let x = -88 - -111. Suppose 4*w - q = 124, x*w - 19*w - 132 = -q. Solve -36*k + w*k = -12 for k.
3
Suppose 2 = -t, 2*f + 4*t - 171 = 133. Solve f*g = 136*g - 120 for g.
-6
Let y be ((-24204)/9)/((-11)/((-297)/(-36))). Solve 12*c = 2053 - y for c.
3
Let b be (54 - 54)*8/(-16). Solve b = -29*n + 18*n + 11 for n.
1
Let x be (-8)/(-144)*6 + 110/3. Suppose 90 = -0*h - 3*h. Let l = x + h. Solve 0 = -l*v + 3*v for v.
0
Let w(x) be the second derivative of -x**4/12 - 23*x**3/6 + 14*x**2 - 3*x + 12. Let g be w(-21). Solve 0 = -6*j - g + 40 for j.
-5
Let u(o) be the second derivative of 4*o**3/3 - 2*o**2 + 23*o. Let q be u(1). Solve -5*m = -m - q for m.
1
Let s(f) = 79*f**2 - 3*f + 2. Let u be s(-1). Solve -u + 12 = -12*c for c.
6
Let c(u) = -u**3 - 17*u**2 - u - 9. Let s be c(-17). Suppose 9*t + s = 53. Solve -t*h = -7*h + 10 for h.
5
Let o = -2272 + 3977. Suppose 0 = -o*h + 1708*h - 6. Solve -h*c + 16 = 8 for c.
4
Let j(n) = -n**3 - 4*n**2 - 2*n + 4. Let p be j(-3). Let v be 20/(7 - 2) - p. Solve -2*a = -v*a for a.
0
Let x = -2272 - -2344. Solve 34*y - x = 16*y for y.
4
Let j be (57/(-6))/(4 + 27/(-6)). Suppose -j*d = -39*d + 60. Solve d*v - 6 = 6*v for v.
-2
Let s be -7 - (-56)/4 - (-2 + 5). Solve -106 = -s*h - 126 for h.
-5
Let a = 6020 - 6020. Solve a = 4*n + 3693 - 3665 for n.
-7
Suppose -290*u = -287*u - 36 + 12. Solve u*x + x - 9 = 0 for x.
1
Let j be (12 - -74) + ((-6)/2 - 0). Let d = j + -81. Solve 7 = 3*s - d for s.
3
Suppose 85*f + 73 = 498. Solve -f*i = 26*i + 31 for i.
-1
Let b(t) = -t**2 + 4*t + 19. Let a be b(7). Let d be a/(-5)*85/2. Solve -7*s - d = 4 for s.
-3
Let u = -5905 - -5912. Suppose -5*p = -52 + 47. Solve 2*r - p - u = 0 for r.
4
Let s = -753 + 755. Suppose 5*r - 13 = -2*a + 13, 0 = s*a - 6. Solve -k - k = -r*k for k.
0
Suppose 2*w + o - 7 = 2*o, 2*o = -2*w + 16. Suppose 0 = -11*d + 31 + 2. Solve d*u = w*u for u.
0
Let f be (-2 - -1 - -1)/(-1). Let s be (-5 + (-156)/(-28))/((-2)/(-7)). Solve v + s = -f*v for v.
-2
Suppose -3*x + 48 = 3*h, 3*h - 10*x - 60 = -7*x. Let v be (10/h)/((-9)/(-81)). Solve 4*i + i = -v for i.
-1
Suppose m - 5 = 0, 0 = -10*q + 5*q - m + 55. Let r(g) = g**2 - 6*g - 20. Let f be r(q). Let n be 1 - ((-5)/f - (-22)/(-8)). Solve 0*s = n*s + 20 for s.
-5
Let u(t) = -2*t**2 + 63*t - 36. Let w be u(27). Let r = -198 + w. Solve -4*b = -r*b - 15 for b.
-3
Let q be (5 - 2)/(-4 + (-28)/(-8)). Let l be (-56)/q - (88/(-24) + 3). Suppose 19*f = l*f. Solve f*g - 3 = g for g.
-3
Let z(i) = -i**2 + 19*i - 35. Let r be z(9). Suppose 2*d = 2*f + 52, 4*d + 3*f = 42 + r. Solve 0 = 32*l - 27*l - d for l.
5
Let j be (-22)/(-8) + 33/(-44). Suppose -z - j*z + 12 = 0. Suppose 12*b = z*b. Solve b = 4*m + 1 + 3 for m.
-1
Let k = -3818 + 3922. Solve 113*y = k*y - 18 for y.
-2
Suppose -2*u = 0, 30 - 135 = -z - 3*u. Suppose 12*s - z = 7*s + 5*l, -s - 4*l = -1. Solve -12*d + s*d + 20 = 0 for d.
-4
Let i(x) = -x**3 - 3*x**2 + 21*x + 22. Let d be i(-6). Let u be 3/(-15) + (-48)/(-15). Suppose -u*o = 1 - 4. Solve d*p + o + 3 = 0 for p.
-1
Let c(y) = y**3 - 12*y**2 + 5*y - 58. Let f be (-10 - (-230)/35)/((-4)/14). Let s be c(f). Solve s*v - 10 = -10 for v.
0
Let m(a) = -a + 1. Let t be m(-3). Let u be -87*(2 - t)/6. Suppose -8*s = -3*s - o - u, 0 = o - 1. Solve 14 = 2*v + s for v.
4
Let j = -207 + 260. Suppose 39 = r - 20. Let p = r - j. Solve -4*h = -h + p for h.
-2
Let l be (0/1 - 3)*620/(-186). Let t be (2 - 0 - 2)/(l/5). Solve 0*h - h - 1 = t for h.
-1
Let y be (1 - 4/8)*-4. Let i be 120/32 - (y + 14/8). Let k = -36 + 37. Solve -k - 11 = -i*m for m.
3
Let u be 2*(1 - 2) - -2. Let r be (u - 0)/(-8 - -9). Solve -2*v + 3*v - 3 = r for v.
3
Let z(t) = -t + 13. Let r be z(10). Suppose h - 6 = 4*g, -2*h - 2*g + 3 = -7*g. Let x be h/(2 - (-23)/(-10)). Solve 8*n = r*n + x for n.
4
Let c be -3*4/30 - 7416/(-40). Suppose 0*q - 4*q + 148 = -5*g, 0 = -5*q - 5*g + c. Let x = q - 26. Solve 2*j - x = -3 for j.
4
Let m = -484 + 223. Let o = 265 + m. Let f = 6 + 5. Solve o*y - f - 1 = 0 for y.
3
Suppose 7*x + 4*x + 62*x = 11680. Solve x*f - 153*f = -28 for f.
-4
Suppose -6 = -3*b + 2*u + 2*u, -3*u - 8 = -4*b. Suppose -d = d - 4*v - 10, 0 = 5*d + 2*v - 37. Suppose 4*k - d*k + 6 = 0. Solve k*p = -b*p + 8 for p.
2
Suppose -4*b = -197 + 545. Let h be ((-4)/(-3))/((-29)/b). Solve -3*v + h = -2*v for v.
4
Let u be 5/(30/17)*(-1 + 7). Let r be 18/(-15)*(-4 + u/(-2)). Solve -5*t + r = 25 for t.
-2
Let u = -385 - -389. Suppose u*l = 5*p + 6, -4*l - 19 = 4*p - 43. Solve -l*c = 22 - 2 for c.
-5
Let o be (15/30)/(1/(-230)). Let g = o - -117. Suppose 0 = -2*n, -2*n = -4*y - 3*n + 4. Solve y + g = d for d.
3
Let p = 18716 - 18706. Solve -7*s - p = -31 for s.
3
Let f(w) = -w**2 - 24*w + 64. Let x be f(-23). Let c = 97 - x. Solve 3*g = -c - 2 for g.
-4
Suppose -34*w - 3 = -2*o - 33*w, -2*o + 4*w = 12. Solve o*q + 9*q + 65 = 0 for q.
-5
Let w be (-3 + (-52)/(-8))/(224/384). Solve -4*j + 6*j = w for j.
3
Let z = 1 + 0. Suppose -5*v + z = -4*l - 0*l, -33 = -3*l - 3*v. Suppose 2*a - 16*t = -12*t + 22, -5*a = -2*t - 23. Solve -l = -a*d - 0 for d.
2
Suppose -5*t - 152*o + 155*o + 3 = 0, t - 5 = 5*o. Solve -2*b - 175 + 179 = t for b.
2
Let a = -902 - -905. Suppose a*l - l - 6 = -3*t, -5*l + t - 2 = 0. Solve l*y = 3*y - 9 for y.
3
Let i(c) = -564*c**2 - 3989*c - 17. Let k be i(-7). Solve 114 = -232*x + k*x for x.
3
Let v(h) = -h**3 - 39*h**2 + h + 51. Let q be v(-39). Solve q*r = 43 + 17 for r.
5
Let z(v) = 43*v - 760. Let i be z(18). Solve 0 = 16*t - i*t - 8 for t.
4
Suppose 3*c + 0 = -9. Let x be 7 - 2/(2/c). Let m(t) = -t**3 + 5*t**2 - 4*t + 1. Let y be m(2). Solve x = 5*w - y for w.
3
Let w be (-63)/7*(5 + 7780/(-12)). Solve 5776 = 7*j + w for j.
-2
Suppose -12*h + 9 + 3 = 0. Suppose h = -r + 12. Solve 4 = -5*m - r for m.
-3
Let q be 0 + (-2)/(-8) - (-446)/(-1784). Solve q = x + 7*x - 2*x for x.
0
Suppose 3*t = 0, d + 12 = -3*t + 249. Let y = 281 - d. Solve 42*r = y*r + 6 for r.
-3
Suppose -766 = 3*l - 1135. Solve -l*q + 125*q - 14 = 0 for q.
7
Let r be (-192)/6*21/(-6). Let v = -76 + r. Let u = v + -33. Solve 2*i + 2 = u*i for i.
2
Let l(n) = 2*n**2 + 2*n + 8. Let f be l(-6). Let m = f - 68. Solve -4*a - 7 + 3 = m for a.
-1
Let p(w) = -44*w - 300. Suppose 8*z = -39 - 17. Let d be p(z). Solve -6*l = -d*l + 6 for l.
3
Let t(d) = d + 10. Let x be t(-6). Suppose 2*h - 6 = -x. Suppose k + h = 3*j - 2*j, 3*j - 3 = k. S | {
"pile_set_name": "DM Mathematics"
} |
558, 1875633, 1875708, 1875783, 1875858, 1875933?
75*i + 1875483
What is the n'th term of 146, 232, 308, 314, 190?
-10*n**3 + 55*n**2 - 9*n + 110
What is the l'th term of -92332, -184664, -277018, -369406, -461840?
-2*l**3 + l**2 - 92321*l - 10
What is the a'th term of -5862155, -5862366, -5862589, -5862830, -5863095, -5863390, -5863721?
-a**3 - 204*a - 5861950
What is the o'th term of 9679, 77141, 260179, 616585, 1204151?
9632*o**3 - 4*o**2 + 50*o + 1
What is the o'th term of 11969, 10748, 9527?
-1221*o + 13190
What is the z'th term of -29106, -24916, -20726, -16536, -12346?
4190*z - 33296
What is the m'th term of -8218297, -8218305, -8218313, -8218321?
-8*m - 8218289
What is the u'th term of -3832, -900, 2032, 4964, 7896, 10828?
2932*u - 6764
What is the l'th term of -24839, -48044, -69609, -89534?
820*l**2 - 25665*l + 6
What is the l'th term of 10320, 11307, 12294, 13281, 14268?
987*l + 9333
What is the z'th term of 490292, 1961167, 4412628, 7844675, 12257308, 17650527, 24024332?
490293*z**2 - 4*z + 3
What is the y'th term of 1046377, 2092750, 3139123, 4185496?
1046373*y + 4
What is the d'th term of -1785, -3564, -5295, -6984, -8637, -10260?
-d**3 + 30*d**2 - 1862*d + 48
What is the w'th term of 393689, 393700, 393713, 393728?
w**2 + 8*w + 393680
What is the r'th term of 71854, 143244, 214634, 286024, 357414, 428804?
71390*r + 464
What is the n'th term of 142828, 142739, 142582, 142351, 142040, 141643, 141154, 140567?
-n**3 - 28*n**2 + 2*n + 142855
What is the v'th term of -665093, -1330196, -1995301, -2660408?
-v**2 - 665100*v + 8
What is the w'th term of 1431, 2848, 4211, 5520?
-27*w**2 + 1498*w - 40
What is the q'th term of 770, 3108, 7108, 12860, 20454?
15*q**3 + 741*q**2 + 10*q + 4
What is the p'th term of -648960, -648998, -649036?
-38*p - 648922
What is the f'th term of -15299, -34093, -52885, -71675?
f**2 - 18797*f + 3497
What is the r'th term of -36179, -36106, -36029, -35948, -35863?
2*r**2 + 67*r - 36248
What is the l'th term of 3532338, 3532337, 3532336, 3532335?
-l + 3532339
What is the w'th term of 364, 1965, 5988, 13645, 26148?
202*w**3 - w**2 + 190*w - 27
What is the r'th term of 995227, 995201, 995153, 995071, 994943, 994757, 994501?
-2*r**3 + r**2 - 15*r + 995243
What is the s'th term of -138361, -139107, -139853, -140599, -141345, -142091?
-746*s - 137615
What is the k'th term of -21846601, -21846606, -21846609, -21846604, -21846585?
k**3 - 5*k**2 + 3*k - 21846600
What is the h'th term of -1610, -2879, -3488, -3107, -1406, 1945, 7276?
55*h**3 - 1654*h - 11
What is the w'th term of -2673, -11231, -25499, -45483, -71189, -102623?
-w**3 - 2849*w**2 - 4*w + 181
What is the m'th term of -96971, -97595, -98219?
-624*m - 96347
What is the k'th term of 49253, 49256, 49263, 49274, 49289, 49308?
2*k**2 - 3*k + 49254
What is the j'th term of -2376, -4138, -5894, -7644?
3*j**2 - 1771*j - 608
What is the g'th term of 964486, 1928794, 2893102?
964308*g + 178
What is the r'th term of -9702, -9879, -10362, -11307, -12870?
-26*r**3 + 3*r**2 - 4*r - 9675
What is the f'th term of -4567, -3735, -2439, -679, 1545?
232*f**2 + 136*f - 4935
What is the y'th term of 26106, 24889, 22872, 20061, 16462, 12081, 6924?
y**3 - 406*y**2 - 6*y + 26517
What is the u'th term of -22751342, -45502676, -68254010?
-22751334*u - 8
What is the s'th term of -3316, -26718, -90234, -213922, -417840, -722046, -1146598, -1711554?
-3343*s**3 + s**2 - 4*s + 30
What is the m'th term of 2698785, 2698779, 2698769, 2698755?
-2*m**2 + 2698787
What is the o'th term of -18587, -18478, -18295, -18038, -17707?
37*o**2 - 2*o - 18622
What is the w'th term of -3335, -9782, -16251, -22754, -29303, -35910, -42587?
-2*w**3 + w**2 - 6436*w + 3102
What is the m'th term of -3317, -2990, -2907, -3062, -3449, -4062, -4895?
m**3 - 128*m**2 + 704*m - 3894
What is the g'th term of -42110599, -42110598, -42110597, -42110596, -42110595?
g - 42110600
What is the m'th term of 3109057, 3109041, 3109011, 3108967, 3108909, 3108837, 3108751?
-7*m**2 + 5*m + 3109059
What is the j'th term of 559569, 1119220, 1678871, 2238522, 2798173?
559651*j - 82
What is the m'th term of 2673, 10960, 24863, 44382, 69517, 100268?
2808*m**2 - 137*m + 2
What is the w'th term of -7271, -7289, -7317, -7355, -7403, -7461, -7529?
-5*w**2 - 3*w - 7263
What is the v'th term of -9100, -18057, -26840, -35449, -43884, -52145?
87*v**2 - 9218*v + 31
What is the t'th term of 12725, 10828, 8931, 7034, 5137, 3240?
-1897*t + 14622
What is the r'th term of 345277, 345049, 344821, 344593?
-228*r + 345505
What is the z'th term of 555968, 555676, 555384?
-292*z + 556260
What is the c'th term of 11852949, 11852947, 11852945, 11852943?
-2*c + 11852951
What is the u'th term of 1230, 5635, 12986, 23289, 36550, 52775, 71970, 94141?
u**3 + 1467*u**2 - 3*u - 235
What is the f'th term of 231440, 464483, 697526, 930569, 1163612?
233043*f - 1603
What is the p'th term of 700730, 700741, 700748, 700745, 700726, 700685, 700616?
-p**3 + 4*p**2 + 6*p + 700721
What is the i'th term of -33548, -134224, -302022, -536942, -838984?
-33561*i**2 + 7*i + 6
What is the l'th term of 12557, 12510, 12429, 12314, 12165?
-17*l**2 + 4*l + 12570
What is the q'th term of -1590, -1680, -1796, -1938, -2106, -2300, -2520?
-13*q**2 - 51*q - 1526
What is the y'th term of 18492566, 36985130, 55477696, 73970264, 92462834, 110955406, 129447980?
y**2 + 18492561*y + 4
What is the y'th term of 5642, 23146, 52306, 93122?
5828*y**2 + 20*y - 206
What is the p'th term of 2010, 4072, 6134, 8196?
2062*p - 52
What is the z'th term of 13379, 13360, 13343, 13328, 13315?
z**2 - 22*z + 13400
What is the b'th term of 7127, 7144, 7167, 7196, 7231, 7272?
3*b**2 + 8*b + 7116
What is the b'th term of -3720, -5346, -8056, -11850?
-542*b**2 - 3178
What is the f'th term of -5788, -7263, -9706, -13105, -17448, -22723?
2*f**3 - 496*f**2 - f - 5293
What is the w'th term of -1147, -6034, -14657, -27010, -43087, -62882, -86389?
w**3 - 1874*w**2 + 728*w - 2
What is the s'th term of 4936235, 9872476, 14808711, 19744934, 24681139, 29617320, 34553471?
-s**3 + 3*s**2 + 4936239*s - 6
What is the m'th term of -53313, -106629, -159961, -213309, -266673?
-8*m**2 - 53292*m - 13
What is the p'th term of 11506, 10897, 10288, 9679, 9070, 8461?
-609*p + 12115
What is the c'th term of 6407620, 12815239, 19222858?
6407619*c + 1
What is the v'th term of -112504, -212474, -312442, -412408, -512372, -612334?
v**2 - 99973*v - 12532
What is the q'th term of 4751, 4745, 4829, 5003, 5267, 5621, 6065?
45*q**2 - 141*q + 4847
What is the s'th term of -1027, -1353, -1709, -2089, -2487, -2897, -3313?
s**3 - 21*s**2 - 270*s - 737
What is the g'th term of -5912, -23586, -52984, -94070, -146808?
6*g**3 - 5898*g**2 - 22*g + 2
What is the t'th term of 56, 858, 3522, 8978, 18156, 31986, 51398, 77322?
155*t**3 + t**2 - 286*t + 186
What is the l'th term of -35, 1027, 2085, 3139, 4189, 5235, 6277?
-2*l**2 + 1068*l - 1101
What is the y'th term of -40205, -41500, -43657, -46676, -50557, -55300?
-431*y**2 - 2*y - 39772
What is the j'th term of -33059229, -33059230, -33059231, -33059232?
-j - 33059228
What is the c'th term of -4483, -18290, -41409, -73840?
-4656*c**2 + 161*c + 12
What is the p'th term of -2087, -6379, -10667, -14951, -19231, -23507, -27779?
2*p**2 - 4298*p + 2209
What is the o'th term of 3079, 4661, 6243, 7825?
1582*o + 1497
What is the c'th term of 1875601, 3751247, 5626893, 7502539, 9378185?
1875646*c - 45
What is the m'th term of -2141, -8169, -18107, -31955, -49713, -71381, -96959?
-1955*m**2 - 163*m - 23
What is the o'th term of 4960, 15329, 32610, 56803, 87908, 125925, 170854?
3456*o**2 + o + 1503
What is the h'th term of -1861, 1542, 4943, 8342?
-h**2 + 3406*h - 5266
What is the m'th term of -55740823, -55740820, -55740819, -55740820, -55740823, -55740828, -55740835?
-m**2 + 6*m - 55740828
What is the k'th term of -1181014, -1181033, -1181052, -1181071?
-19*k - 1180995
What is the z'th term of 1553185, 6212717, 13978597, 24850825, 38829401, 55914325, 76105597?
1553174*z**2 + 10*z + 1
What is the u'th term of 112730788, 112730787, 112730786, 112730785, 112730784?
-u + 112730789
What is the b'th term of 2949, 14139, 32875, 59163, 93009, 134419, 183399, 239955?
b**3 + 3767*b**2 - 118*b - 701
What is the l'th term of 80 | {
"pile_set_name": "DM Mathematics"
} |
e -2*p - 565 = -5*z - 6*p, -h*p + 565 = 5*z. Is z prime?
True
Let q be 27/5 - (-4)/(-10). Suppose 3*f - 4*v - 7 = 2*f, -3*f + q*v = -7. Is 15/(-2 + 1)*f prime?
False
Is 4/(((-4)/16)/(82/(-16))) a composite number?
True
Let t be 7*6*5/(-10). Let i = -10 - t. Is i a prime number?
True
Suppose 0*k - 4*s = 3*k + 7, 0 = -3*k + 3*s + 21. Is k - (-1 + -105) - 3 composite?
True
Let b(a) = -406*a**3 + 4*a**2 + 3*a + 2. Is b(-1) a composite number?
False
Let x be ((-2)/(-2))/(1 + -2). Suppose -4*f - 3*j + 5 = -8*f, 3*j + 3 = 0. Is (-8)/f - -1 - x a composite number?
True
Let l = 157 - 111. Is l a prime number?
False
Suppose -9545 = -5*t - 2*o, 10*o - 5*o - 5746 = -3*t. Is t prime?
True
Let y = 54 - -157. Is y composite?
False
Let g be ((-1)/(-3))/(3/27). Let m be 32/18 + (-2)/(-9). Suppose -5*q + 3*q = -2*u + 58, g*q = m*u - 54. Is u composite?
True
Suppose -w = 5*p + 196, 2*w + 5*p = -0*w - 377. Is w*(-1 - (0 - 0)) a composite number?
False
Let v = 299 + 198. Is v prime?
False
Suppose -4*h + 7 = -9. Let o be (-230)/(-2) - (4 - h). Let k = -36 + o. Is k a prime number?
True
Let f(m) = 340*m + 25. Is f(12) a composite number?
True
Let j(f) = 29*f**3 - 3*f**2 + 2*f - 1. Is j(2) a prime number?
True
Let x(n) be the third derivative of n**5/6 + 4*n**2. Is x(-1) a composite number?
True
Suppose n = -0*n + 185. Is n composite?
True
Let z(n) = -n**3 - 6*n**2 + 2*n + 6. Suppose 0 = -4*c - 36 + 12. Let r be z(c). Is (763/21)/((-2)/r) a composite number?
False
Suppose -5*v + 4*a - 201 + 674 = 0, 3*v + 5*a - 306 = 0. Is v a composite number?
False
Is 97 + (0 - 0)*-1 prime?
True
Suppose -3*f + 24 = -f. Let z be (-65 + 2)/(f/(-16)). Is z/(-9)*(-6)/4 composite?
True
Let s(z) = 54*z**2 - z. Suppose 3*i - 2 = o - 0*o, -o = -5*i + 4. Is s(i) composite?
False
Suppose 0*c + 8 = 2*c. Suppose 4*r + 25 = c*q - q, 0 = 3*q - r - 22. Is q a prime number?
True
Let r(n) = -6*n**2 - 1. Let g be r(-5). Let y be (-2)/(-8) + 911/4. Let v = y + g. Is v a composite number?
True
Let b(y) = y**3 - 4*y**2 + 2*y + 3. Let p be b(3). Let r = 5 + p. Suppose 2*o = r*h - 8, 2*o - 4*o + h + 8 = 0. Is o prime?
False
Suppose -2*x + 0*x = -12. Suppose 0 = -q + x*q - 295. Is q a composite number?
False
Let o(h) = -2*h - 2. Let d be o(-2). Suppose 2*m = -d*z + 4, m = 4*z + 4 - 2. Suppose z = -4*n + n + 66. Is n a composite number?
True
Let g = 11 - -17. Let m = -17 + g. Is m a composite number?
False
Suppose 4*v - 1268 = 2*v. Is v a composite number?
True
Let u(b) = -b**3 + 8*b**2 + 5*b + 11. Let j be u(8). Suppose -2*f + 91 + j = 0. Is f a composite number?
False
Let l = 0 + 0. Let o = 0 - l. Suppose 15 = 5*x, o*m = m + 5*x - 134. Is m a composite number?
True
Let x = -7 + 15. Let q = x + -2. Suppose 0 = 2*t + 2*o - 100, 0 = 4*o - 2*o + q. Is t a composite number?
False
Suppose -10 = -4*i + 2. Suppose i*m - 4*m + 335 = 0. Is m composite?
True
Suppose u = 22 - 1. Let a(x) = x**3 - 8*x**2 + 9*x - 10. Let d be a(7). Suppose -w + 4*c + 114 = d*w, -c = w - u. Is w prime?
False
Suppose 0*i - 3*i + 13839 = 0. Is i a prime number?
False
Suppose 3 = -g + 4*g. Let u(p) be the second derivative of 127*p**4/6 - p**3/6 - 3*p. Is u(g) a prime number?
False
Suppose 0*v + 4*v - 8 = 0. Let k(d) = -5 - 4*d + d**2 + 0 - v*d. Is k(8) composite?
False
Suppose -x - 1 = -3. Let s be 36*(x + 10/4). Suppose 2*q - 4*m = 3*q - s, 0 = q + 3*m - 158. Is q prime?
False
Let c = 95 + 280. Let l = -244 + c. Is l a prime number?
True
Let o(k) be the first derivative of k**2/2 + 14*k + 3. Is o(11) a prime number?
False
Suppose -2*y = 2 - 8. Let b be (-4)/(-6) - (-418)/y. Suppose 4*g + 4 - b = 0. Is g a composite number?
True
Let a be (-4)/(-14) + 4681/7. Suppose 0 = 2*k + a - 2167. Let t = -526 + k. Is t a prime number?
True
Suppose 0 = -g - g - 10. Let d(h) = 9*h**2 + 2*h - 4. Is d(g) composite?
False
Let o be (-2 + 14 + 1)*-52. Let g be (o/(-2))/(-4 - -6). Let v = g - 110. Is v a prime number?
True
Suppose -4*y = 2*y - 7278. Is y composite?
False
Suppose -135 = 2*v - 961. Is v prime?
False
Let k be 1*(3 - (-3 + 1)). Suppose 0 = 5*y - 2*m - 1059, -3*m - k - 1 = 0. Is y a composite number?
False
Suppose 0 = 5*d - 212 - 273. Is d a prime number?
True
Let m(y) = 1889*y + 8. Is m(1) a composite number?
True
Suppose -4*o - 3 = -5*o. Suppose 99 = g - 5*d, -o*g + 203 + 24 = -d. Is g a composite number?
True
Let a(y) = -3*y + 4. Let w(o) = -8*o + 11. Let m(h) = 11*a(h) - 4*w(h). Let i be m(-2). Is (i/3)/((-2)/(-57)) a composite number?
False
Let v(y) = -y - 2. Let g be v(-5). Suppose 5*t + g*o - 457 = 0, -t - 93 = -2*t - o. Is t a composite number?
False
Suppose 2*u = u + 2. Let j be (6/(-15))/(u/(-410)). Suppose 2*v - j = 4*x, v - 53 = -x - 0*x. Is v composite?
True
Let g(n) = n**3 - 2*n**2 + 5*n - 1. Suppose -5*q + 3*d = -26, 3*q + q + 4*d = 8. Is g(q) composite?
True
Suppose -5*c = 4*b - 400, 2*b - b - 79 = -c. Let w(s) = s**2. Let j be w(-1). Let o = c - j. Is o composite?
False
Let d be ((-8)/6)/((-8)/(-12)). Let p be (8/6)/(d/3). Is 109 + 0/(p + 4) prime?
True
Suppose -f = 2, 2*f + 7 = 4*i - 5. Suppose -2*a + i*k = a - 295, 0 = 4*a - 2*k - 392. Is a a prime number?
True
Suppose 19 = v + 2*b, 2*v - 56 = -b + 3*b. Is 3 + -2 + v + -1 composite?
True
Let j(k) = -17*k. Let c be j(-7). Suppose b - c + 22 = 0. Is b a composite number?
False
Is (-338)/(-4)*2 + 0 prime?
False
Suppose 0 = -6*k + k - p - 159, -2*k = 3*p + 61. Let a be (k/20)/(2/(-120)). Suppose -4*f - 93 = -g, 3*g = 4*g - f - a. Is g a composite number?
False
Suppose 7 = 4*d - 1. Suppose d*b = -b. Is (76/2)/(2 - b) prime?
True
Let g(u) = 5*u - 31. Let o(w) = -w + 6. Let t(a) = -2*g(a) - 11*o(a). Let f be t(7). Is 46/f + 2/(-6) prime?
False
Suppose -i = 4*g - 11, 0 = 5*i - 5*g - 2 - 3. Is -39*(1 + i)/(-4) a composite number?
True
Suppose -3*v - 6 = -4*v. Suppose -3*l - 12 = -v*l. Suppose -3*k + 4*m + 287 = 0, -l*k + 5*m = -0*k - 381. Is k composite?
False
Let v be ((-9)/3)/((-7)/343). Suppose q = v + 104. Is q prime?
True
Suppose -3*j = -j + q - 2557, -2*j = -5*q - 2539. Is j prime?
True
Let t = 856 + -437. Is t a composite number?
False
Suppose 25 = -2*v + 5*q + 452, 0 = 5*v + 4*q - 1051. Is v prime?
True
Let z(b) = b**3 + 13*b**2 - 4*b + 2. Let p be z(-8). Suppose h = -y + 346, 0 = -h - 2*y + 3*y + p. Suppose -h = -4*u + 3*i + 161, 3*i - 124 = -u. Is u prime?
True
Let u = -48 - -23. Let r(f) = f**3 + 6*f**2 - 13*f - 12. Let q be r(-8). Let y = u - q. Is y prime?
True
Suppose -p - 274 = 26. Let r = -185 - p. Is r a composite number?
True
Let d = -1726 - -2417. Is d prime?
True
Suppose 2*f = 5*s - s + 8, 0 = -3*s - 3. Suppose 62 = -f*i + 216. Is i prime?
False
Is -2*(1115/(-10) + 0) composite?
False
Suppose c = -4*c. Suppose 2*d - 6 + 0 = c. Suppose -4*i = -0*i + x - 125, 0 = d*i + 2*x - 95. Is i prime?
True
Is 3 + -4 - 542/(-1) composite?
False
Suppose 3*t = t + 632. Suppose x + 3*x = t. Suppose 4*c - 61 - x = 0. Is c composite?
True
Suppose -2*k = -6*k + 1068. Is k a composite number?
True
Let v(q) = -q**3 - 5*q**2 + 6*q + 4. Let d be v(-6). Let f(o) = -o**2 + d*o - 7*o + 37 + 3*o. Is f(0) a prime number?
True
Let m be (-4)/(-10)*1*5. Let d be 6/5*(-40)/12. Is ((-14)/d)/(1/m) a prime number?
True
Let q be (0 + -2)*3/2. Let d = -2 + 2. Is 0 + d/q + 86 composite?
True
Let q(w) be the second derivative of -w**3/2 - w**2/2 - w. Let h be q(1). Is (6/h)/(2/(-8)) a prime number?
False
Let b be (-3)/27*-3*51. Let v = b + -12. Suppose 4*i - i - v*f = 115, 0 = 3*i + 3*f - 99. Is i composite?
True
Suppose -2*b + b - j = -3, -5*b - 4*j + 15 = 0. Let d(i) = 117*i - 4. Let k(x) = 58*x - 2. Let r(g) = -3*d(g) + 7*k(g). Is r(b) prime?
True
Let o(w) be the second derivative of 0 + 5/2*w**2 + 2*w - 8/3*w**3. Is o(-5) a prime number?
False
Suppose -341 = -9*r + 352. Is r composite?
True
Let c = 7 + -3. Suppose c*q = -q - 25. Let u(w) = -2*w**3 - 6*w**2 + 4*w + 5. Is u(q) a composite number?
True
Is -3 - (-10)/((-2)/(-2)) a prime number?
True
Let k be (1 - 2)*(-5 - 0). Suppose 632 = k*m - 153. Is m composite?
False
Suppose -14 = -4*q + 42. Is q prime?
False
Let h(w) = -w - 3. Let r be h(-6). Is 287/r + (-8)/12 prime?
False
Suppose -2*r - 3*r + 1913 = 4*v, -8 = -4*v. Is r composite?
True
Let w(n) = -214*n**3 + n**2 + 3*n + 1. Is w(-1) prime?
False
Let r = 1 + 1. Suppose 2*c - 3*v = -4 - 5, -2 | {
"pile_set_name": "DM Mathematics"
} |
**2 + 611*k + 62. Give z(-9).
719
Let l(a) = -62*a**3 - 2*a**2 - 9280*a - 9279. Give l(-1).
61
Let b(t) = 2149*t - 66648. Calculate b(31).
-29
Let q(d) = -26*d**3 + 11*d**2 - 1165*d - 5797. Calculate q(-5).
3553
Let z(t) = -6*t**2 - 746*t + 507. Give z(-125).
7
Let x(h) = h**2 + 96*h + 1877. Give x(-37).
-306
Let t(j) = -5*j**3 + 2*j**2 + 409*j - 1988. Give t(5).
-518
Let g(o) = -71*o**3 - 572*o**2 + 137*o + 1354. Determine g(-8).
2
Let h(d) = -7*d**2 + 93*d + 17. Calculate h(14).
-53
Let m(b) = -b**3 - 20*b**2 + 12*b + 408. Calculate m(-19).
-181
Let u(w) = -158*w**2 - 1092*w + 7. What is u(-7)?
-91
Let f(n) = n**3 - 24*n**2 + 47*n - 552. Calculate f(23).
0
Let w(z) = -1210*z + 377. What is w(2)?
-2043
Let n(p) = -20789*p + 186945. Determine n(9).
-156
Let u(r) = -3*r**2 - 1053*r + 8583. Give u(8).
-33
Let n(l) = -l**2 + 73*l + 5603. Calculate n(114).
929
Let y(c) = -383*c - 52936. Determine y(-138).
-82
Let s(x) = 3240*x - 100467. Calculate s(31).
-27
Let g(a) = a**3 - 1522*a**2 - 86735*a + 10. What is g(-55)?
10
Let k(x) = 47519*x + 142520. Determine k(-3).
-37
Let x(r) = -2*r**3 - 597*r**2 + 366*r + 20042. Give x(-299).
9
Let o(h) = 13*h**3 - 5356*h**2 + 112*h - 46142. Calculate o(412).
2
Let h(u) = u**2 + 393*u + 38354. Calculate h(-218).
204
Let v(l) = 3*l**2 - 1425*l + 74729. What is v(60)?
29
Let n(g) = -49*g - 780. Calculate n(-22).
298
Let n(o) = 156815*o + 2038588. What is n(-13)?
-7
Let y(t) = 8*t**3 + 4632*t**2 + 307*t + 177747. What is y(-579)?
-6
Let g(t) = 2634*t - 74358. Give g(29).
2028
Let q(d) = d**2 - 50*d - 831. Give q(-13).
-12
Let i(s) = -s**3 - 343*s**2 + 1460*s + 25126. Give i(-347).
142
Let u(j) = j**3 - 103*j**2 + 584*j + 712. Determine u(97).
906
Let m(g) = g**3 + 23*g**2 - 184*g + 814. Calculate m(-30).
34
Let a(v) = -160335*v - 160342. Calculate a(-1).
-7
Let b(p) = 5*p**2 - 23*p - 319. What is b(14)?
339
Let k(m) = 33*m**2 - 5009*m + 8847. Determine k(150).
-3
Let s(x) = 10*x**3 + 27*x**2 - 473*x - 502. Calculate s(-1).
-12
Let z(w) = 4249*w - 42491. What is z(10)?
-1
Let w(r) = -r**2 - 449*r + 10398. Calculate w(21).
528
Let i(h) = 6*h**2 - 3387*h + 24268. Determine i(557).
-797
Let c(y) = y**3 - 222*y**2 + 685*y - 102545. Give c(221).
-1
Let r(h) = 42923*h - 429230. Determine r(10).
0
Let v(l) = l**2 - 37*l - 407. Determine v(18).
-749
Let f(a) = 82511*a - 70464394. Give f(854).
0
Let x(w) = -6*w**2 + 4020*w - 12055. Give x(3).
-49
Let u(h) = -h**3 + 45*h**2 - 433*h + 11017. What is u(41)?
-12
Let p(m) = -m**3 - 237*m**2 - 13977*m - 886. Determine p(-127).
3
Let v(d) = 51*d**2 - 241*d + 151. Calculate v(4).
3
Let w(v) = v**3 + 535*v**2 + 30147*v + 1404. Give w(-471).
-9
Let l(n) = 2*n**3 + 82*n**2 - 613*n - 2. Calculate l(8).
1366
Let k(y) = y**3 + 49*y**2 + 452*y + 1251. Calculate k(-38).
-41
Let n(k) = -2*k**3 + 211*k**2 + 358*k - 152. Calculate n(-2).
-8
Let o(p) = 5875*p - 5854. What is o(1)?
21
Let g(a) = 2*a**2 + 746*a + 69481. Calculate g(-180).
1
Let n(m) = -m**2 - 178*m - 6829. Determine n(-44).
-933
Let r(d) = 548*d - 470. Calculate r(0).
-470
Let m(y) = -3*y**3 + 43*y**2 + 149*y - 205. Calculate m(17).
16
Let v(k) = 5*k**3 + 401*k**2 + 70*k - 792. Determine v(-80).
8
Let l(o) = -26505*o + 477013. Give l(18).
-77
Let v(k) = -k**3 + 6*k**2 + 660*k - 5348. Give v(8).
-196
Let q(i) = -i**2 + 2829*i - 11277. Determine q(4).
23
Let i(n) = 17369*n + 3699677. Calculate i(-213).
80
Let y(g) = -2*g**2 + 15049*g + 60232. Determine y(-4).
4
Let c(w) = -w**3 - 61*w**2 - 237*w - 14431. Calculate c(-61).
26
Let g(i) = 69019*i + 138121. Give g(-2).
83
Let r(i) = 2*i**3 + 100*i**2 - 1208*i - 469. What is r(-60)?
11
Let d(k) = -4609*k - 1972711. Determine d(-428).
-59
Let v(g) = 20088*g + 1285643. Give v(-64).
11
Let w(r) = 11*r**2 + 1563*r - 3023. Give w(-144).
1
Let f(w) = 4633*w - 23263. Calculate f(5).
-98
Let h(j) = -213*j**2 + 1291*j + 78. Determine h(6).
156
Let u(n) = -1635*n - 45738. Give u(-28).
42
Let u(h) = 664688*h - 19275944. Calculate u(29).
8
Let w(l) = 2*l**2 - 473*l + 20682. Calculate w(58).
-24
Let f(w) = 444*w + 69. Give f(3).
1401
Let k(v) = -11*v**3 - 208*v**2 - 9*v - 543. What is k(-19)?
-11
Let l(a) = -3*a**2 + 556*a - 7036. Determine l(172).
-156
Let r(j) = -4*j**3 - 46*j**2 + 326*j - 187. What is r(6)?
-751
Let p(q) = -q**3 - 1610*q**2 - 901*q + 1139178. What is p(-1609)?
6
Let t(n) = -17*n**2 - 2121*n + 15040. Give t(7).
-640
Let c(z) = 12*z**2 - 255*z + 6. Give c(15).
-1119
Let h(u) = -3*u**2 - 11699*u + 46842. What is h(4)?
-2
Let z(b) = -1830*b - 64026. Determine z(-35).
24
Let a(d) = -7*d**3 - 156*d**2 - 35*d + 204. Calculate a(-22).
6
Let l(a) = a**2 - 3525*a - 247990. Give l(-69).
-4
Let k(b) = 9039*b - 189848. What is k(21)?
-29
Let t(i) = i**2 - 445*i - 80431. Calculate t(-138).
23
Let d(n) = -5*n**2 - 1351*n - 74379. What is d(-77)?
3
Let t(g) = 798*g - 29763. What is t(38)?
561
Let s(w) = 28949*w - 984280. What is s(34)?
-14
Let o(v) = -589*v + 1395. What is o(2)?
217
Let i(t) = 2*t**3 + 204*t**2 - 1292*t + 407. Give i(-108).
-25
Let q(x) = -1847*x + 50345. Calculate q(26).
2323
Let v(q) = -43288*q + 19652764. What is v(454)?
12
Let q(h) = 2569*h + 7569. What is q(-3)?
-138
Let x(v) = -80*v**3 - 2*v**2 + 14. What is x(2)?
-634
Let w(z) = -46691*z + 793753. Determine w(17).
6
Let w(h) = -463*h + 67131. Determine w(145).
-4
Let t(z) = 27063*z + 49308799. Give t(-1822).
13
Let b(l) = -l**3 - 18*l**2 - 106*l - 718. Determine b(-14).
-18
Let f(g) = -g**3 - 22*g**2 + 178*g + 208. Calculate f(-25).
-2367
Let m(n) = 39356*n - 26840779. What is m(682)?
13
Let v(o) = 9649*o - 569553. Calculate v(59).
-262
Let m(j) = -4*j**3 + 58*j**2 + 10*j + 39. Give m(15).
-261
Let f(n) = -9*n**3 - 15*n**2 - 3*n - 6. Determine f(-2).
12
Let t(q) = -5*q**3 - 732*q**2 + 4416*q + 5. Determine t(6).
-931
Let j(g) = -2*g**3 - 8*g**2 - 31*g + 14. Calculate j(-9).
1103
Let y(i) = 3*i**3 - 1925*i**2 + 113985*i - 191. What is y(66)?
7
Let m(y) = -475253*y - 3326778. Give m(-7).
-7
Let x(v) = -2*v**2 - 2623*v - 17980. What is x(-7)?
283
Let w(x) = -6*x**3 - 6*x + 13. Determine w(3).
-167
Let b(d) = d**2 - 92*d + 963. Give b(80).
3
Let z(o) = -9*o**2 - 483*o + 1004. Give z(-58).
-1258
Let r(n) = -125*n - 125. Calculate r(-10).
1125
Let m(y) = 112553*y - 4277019. Give m(38).
-5
Let o(x) = x**3 - 208*x**2 - 1486*x + 146. Calculate o(-7).
13
Let w(t) = -3732*t - 10854. What is w(-3)?
342
Let v(c) = 3*c**3 + 831*c**2 + 4079*c - 96. Determine v(-272).
176
Let t(i) = -4*i**2 - 270*i + 5361. Determine t(-82).
605
Let n(b) = -b - 1015. Give n(74).
-1089
Let m(q) = 20*q - 382. Give m(18).
-22
Let m(u) = -527*u + 24862. Determine m(48).
-434
Let n(s) = -840*s + 29781. Calculate n(38).
-2139
Let n(s) = 5*s**2 + 76*s - 538. Calculate n(7).
239
Let x(m) = -454*m**2 - 4513*m + 20. Calculate x(-10).
-250
Let m(x) = -2*x**3 - 12*x**2 - 814*x - 5694. Calculate m(-7).
102
Let r(u) = -u**2 - 400*u - 27059. Determine r(-86).
-55
Let c(l) = 9663*l + 241405. Determine c(-25).
-170
Let f(n) = -22327*n + 446537. Give f(20).
-3
Let i(a) = -932*a + 7002. What is i(7)?
478
Let g(m) = -m**3 + 246*m**2 + 506*m - 63991. What is g(247)?
-18
Let v(f) = f**3 + 61*f**2 + 438*f - 38. Calculate v(-10).
682
Let s(g) = 3*g**2 + 70285*g + 1544811. Determine s(-22).
-7
Let q(g) = 8*g - 2113. What is q(6)?
-2065
Let k(x) = -x**3 + 15*x**2 + 85*x - 612. Determine k(14).
774
Let g(c) = 78*c**2 + 5925*c - 46. What is g(-76)?
182
Let t(a) = a**2 + 6142*a - 12280. Determine t(2).
8
Let z(u) = -u**3 + 791*u**2 + 3271*u + 357. Calculate z(-4).
-7
Let j(h) = -48769*h + 341221. Determine j(7).
-162
Let h(q) = 86853*q - 955354. Calculate h(11).
29
Let f(y) = -3*y**2 + 135*y - 526. Calculate f(4).
-34
Let v(d) = -180995*d - 904975. Calculate v(-5).
0
Let r(q) = 6*q**2 - 5891*q - 83642. Calculate r(-14).
8
Let t(u) = u**3 + 286*u**2 - 10543*u - 5100. Determine t(-319).
4
Let m(d) = -d**2 - 1268311*d - 10. Give m(0).
-10
Let b(j) = j**3 + 1152*j**2 - 16333*j - 10445. What is b(-1166)?
49
Let r(c) = -c**3 - 29*c**2 + 101*c - 2438. Determine r(-34).
-92
Let a(o) = -6*o**3 + o**2 - 58*o - 2250. What is a(0)?
-2250
Let f(u) = u**3 - 27*u**2 - 190*u + 6513. Give f(19).
15
Let m(k) = -126*k + 4230. Determine m(28).
702
Let r(n) = -161*n - 9874. Give r(-65).
591
Let l(k) | {
"pile_set_name": "DM Mathematics"
} |
ce ffg when three letters picked without replacement from {u: 1, f: 2, t: 4, g: 7}?
1/156
What is prob of sequence fwfw when four letters picked without replacement from {w: 7, f: 6, l: 2}?
1/26
Four letters picked without replacement from wqqqqwwqr. Give prob of sequence rqqq.
5/252
Two letters picked without replacement from ytglgeyleylgegggyfy. What is prob of sequence tf?
1/342
Three letters picked without replacement from zzrzzowozotarzooatot. What is prob of sequence ztw?
1/380
Calculate prob of sequence nnrd when four letters picked without replacement from {f: 1, d: 1, c: 3, r: 13, n: 2}.
13/58140
Two letters picked without replacement from {y: 6, l: 1, n: 1, u: 1, i: 2, f: 4}. Give prob of sequence yl.
1/35
Three letters picked without replacement from kkkkkbbkkk. Give prob of sequence kbb.
1/45
What is prob of sequence dd when two letters picked without replacement from {d: 15, r: 4}?
35/57
Two letters picked without replacement from llnlfflffffnlnffll. Give prob of sequence fn.
4/51
Three letters picked without replacement from {t: 2, m: 1, z: 2, s: 1}. Give prob of sequence ztm.
1/30
Four letters picked without replacement from ajjmrrjamhjjjrz. Give prob of sequence azra.
1/5460
Calculate prob of sequence so when two letters picked without replacement from {z: 3, s: 2, g: 3, o: 1, e: 10}.
1/171
What is prob of sequence my when two letters picked without replacement from mkvnyvgmg?
1/36
What is prob of sequence mz when two letters picked without replacement from {z: 7, m: 1}?
1/8
Calculate prob of sequence kkkk when four letters picked without replacement from {k: 7}.
1
Two letters picked without replacement from onoodnonondo. Give prob of sequence dn.
2/33
What is prob of sequence jjjm when four letters picked without replacement from mmjmmmmjmjmmjmmmmm?
7/1530
Two letters picked without replacement from {v: 2, i: 8, o: 1, e: 8, t: 1}. What is prob of sequence tv?
1/190
Three letters picked without replacement from iaaiaiaaaaaa. Give prob of sequence aii.
9/220
Calculate prob of sequence nodb when four letters picked without replacement from lndnqboq.
1/840
Calculate prob of sequence vv when two letters picked without replacement from {q: 4, v: 3, p: 2, y: 6}.
1/35
What is prob of sequence ae when two letters picked without replacement from {y: 4, e: 3, a: 5}?
5/44
Three letters picked without replacement from {f: 11, a: 3}. Give prob of sequence aaf.
11/364
Four letters picked without replacement from {r: 2, u: 2, l: 5, y: 9}. Give prob of sequence rurl.
1/3672
What is prob of sequence wp when two letters picked without replacement from {t: 3, p: 1, y: 2, w: 10}?
1/24
Two letters picked without replacement from {a: 3}. What is prob of sequence aa?
1
What is prob of sequence llll when four letters picked without replacement from llllllllll?
1
Two letters picked without replacement from dbdbbddddbdb. Give prob of sequence bb.
5/33
Four letters picked without replacement from tsssetttstssttstrr. Give prob of sequence ress.
7/6120
Two letters picked without replacement from {v: 1, m: 1, e: 4, s: 1, u: 1}. Give prob of sequence ms.
1/56
Calculate prob of sequence wfxm when four letters picked without replacement from smmmwkkwkmwwkxwwfxmx.
1/1292
Calculate prob of sequence gjj when three letters picked without replacement from gggggggjggggjggggg.
1/153
Three letters picked without replacement from {e: 1, d: 3, b: 3, u: 7, g: 5}. Give prob of sequence gbd.
5/646
What is prob of sequence zz when two letters picked without replacement from gkgkggzkkgkzg?
1/78
Calculate prob of sequence iim when three letters picked without replacement from {p: 6, m: 1, i: 3, c: 7}.
1/680
Calculate prob of sequence vn when two letters picked without replacement from innhavvk.
1/14
Two letters picked without replacement from {t: 4}. Give prob of sequence tt.
1
Two letters picked without replacement from bcccg. Give prob of sequence cb.
3/20
What is prob of sequence zoo when three letters picked without replacement from {o: 2, h: 1, z: 2, w: 1}?
1/30
What is prob of sequence rx when two letters picked without replacement from rsxskxrsxr?
1/10
Three letters picked without replacement from {z: 2, h: 1, m: 1, y: 2, k: 2}. Give prob of sequence yzy.
1/84
Three letters picked without replacement from xxhhxddh. What is prob of sequence ddx?
1/56
Calculate prob of sequence wwb when three letters picked without replacement from {s: 9, w: 2, b: 8}.
8/2907
Four letters picked without replacement from yeeeeeeeeeeeeee. What is prob of sequence eeey?
1/15
Two letters picked without replacement from {g: 1, w: 1, q: 2, v: 3}. Give prob of sequence vg.
1/14
Calculate prob of sequence cvvc when four letters picked without replacement from {v: 5, c: 7}.
7/99
Three letters picked without replacement from {v: 2, n: 1, r: 2, l: 4, i: 3, g: 3}. Give prob of sequence ggl.
4/455
Three letters picked without replacement from {s: 7}. Give prob of sequence sss.
1
Calculate prob of sequence rk when two letters picked without replacement from {g: 2, k: 1, r: 4, j: 4}.
2/55
Three letters picked without replacement from {u: 7, a: 2, h: 5, g: 4}. Give prob of sequence agg.
1/204
Calculate prob of sequence gnyn when four letters picked without replacement from {n: 2, g: 1, v: 4, y: 3}.
1/840
Three letters picked without replacement from {v: 1, b: 1, y: 5, f: 1, g: 1, r: 5}. Give prob of sequence fyy.
5/546
Four letters picked without replacement from yohuyqk. Give prob of sequence yhoy.
1/420
Four letters picked without replacement from eeeelbaw. What is prob of sequence albw?
1/1680
Calculate prob of sequence uu when two letters picked without replacement from {w: 1, u: 2}.
1/3
Calculate prob of sequence bb when two letters picked without replacement from {b: 4}.
1
Four letters picked without replacement from uuouuvuuvoouvo. Give prob of sequence vuov.
1/143
What is prob of sequence sg when two letters picked without replacement from sygy?
1/12
Four letters picked without replacement from {h: 5, y: 7, f: 2, t: 4}. Give prob of sequence httf.
1/612
What is prob of sequence oq when two letters picked without replacement from zoq?
1/6
Calculate prob of sequence soc when three letters picked without replacement from {z: 4, o: 6, c: 4, b: 1, s: 2}.
1/85
What is prob of sequence fkf when three letters picked without replacement from {f: 15, k: 3}?
35/272
Two letters picked without replacement from vvvvhhhvvhvvvvvvvv. What is prob of sequence vv?
91/153
What is prob of sequence kaca when four letters picked without replacement from {n: 4, k: 2, o: 2, c: 1, a: 3}?
1/990
Two letters picked without replacement from owooavwto. Give prob of sequence at.
1/72
What is prob of sequence ii when two letters picked without replacement from {i: 4, c: 3}?
2/7
Calculate prob of sequence gut when three letters picked without replacement from {t: 2, u: 4, k: 2, y: 1, x: 1, g: 2}.
2/165
Calculate prob of sequence phd when three letters picked without replacement from {p: 2, y: 5, h: 2, d: 2, x: 2}.
2/429
Two letters picked without replacement from grrvvqv. Give prob of sequence vv.
1/7
Two letters picked without replacement from {x: 1, y: 10, g: 2, i: 3}. Give prob of sequence ii.
1/40
Calculate prob of sequence nbnb when four letters picked without replacement from {b: 5, n: 4, f: 2}.
1/33
What is prob of sequence mmc when three letters picked without replacement from mcksm?
1/30
Three letters picked without replacement from {z: 9, p: 5}. Give prob of sequence zpz.
15/91
Four letters picked without replacement from {w: 1, i: 7, o: 2}. What is prob of sequence ooii?
1/60
What is prob of sequence jm when two letters picked without replacement from {d: 4, j: 4, z: 5, m: 6}?
4/57
Calculate prob of sequence zdp when three letters picked without replacement from {t: 1, d: 9, p: 1, z: 6}.
9/680
Calculate prob of sequence wzq when three letters picked without replacement from wzzqo.
1/30
What is prob of sequence uuue when four letters picked without replacement from {s: 1, q: 5, e: 11, u: 3}?
11/19380
Calculate prob of sequence jj when two letters picked without replacement from fedffdehffjejjjffdd.
2/57
What is prob of sequence ttmm when four letters picked without replacement from {j: 2, r: 2, g: 4, m: 1, t: 1, v: | {
"pile_set_name": "DM Mathematics"
} |
n 21557, 21513, 21469, 21425?
21381
What comes next: -3148, -3534, -3920, -4306, -4692?
-5078
What is next in 296, 1331, 3312, 6455, 10976?
17091
What is the next term in 13652, 13656, 13664, 13676, 13692, 13712, 13736?
13764
What comes next: 49053, 49076, 49099, 49122, 49145?
49168
What is next in -10, -3, 26, 89, 198?
365
What is the next term in 10293, 10312, 10331, 10350, 10369, 10388?
10407
What is the next term in -1941, -3710, -5477, -7242?
-9005
What is next in -1689, -3327, -4965, -6603, -8241?
-9879
What is next in -2206, -2253, -2382, -2635, -3054, -3681, -4558?
-5727
What is next in 389, 403, 417, 431, 445, 459?
473
What is next in 325, 703, 1081?
1459
What is next in -690, -697, -704?
-711
What comes next: 939, 1820, 2701, 3582, 4463, 5344?
6225
What comes next: -1050903, -2101807, -3152711, -4203615?
-5254519
What is next in -11225421, -11225423, -11225425?
-11225427
What is next in -100676, -100664, -100652, -100640, -100628?
-100616
What is next in 3530, 4548, 5568, 6590?
7614
What is the next term in 10831, 21595, 32359, 43123, 53887?
64651
What is next in -235, -932, -2095, -3724?
-5819
What is the next term in 724, 799, 874, 949, 1024?
1099
What comes next: 373, 406, 441, 478, 517, 558?
601
What comes next: 661, 370, -417, -1946, -4463, -8214, -13445, -20402?
-29331
What is the next term in 35, 124, 345, 764, 1447, 2460?
3869
What comes next: -543, -384, 123, 1176, 2973, 5712, 9591?
14808
What comes next: -1340, -2496, -3586, -4604, -5544, -6400?
-7166
What is the next term in -140, -500, -1078, -1880, -2912, -4180, -5690?
-7448
What comes next: 4267, 4276, 4285, 4294?
4303
What is next in 1555, 6174, 13873, 24652, 38511, 55450, 75469?
98568
What is next in -16138, -32269, -48410, -64567, -80746, -96953, -113194?
-129475
What is next in 29592, 29533, 29434, 29295?
29116
What is the next term in -3758, -7458, -11148, -14822, -18474, -22098?
-25688
What comes next: -3512, -3518, -3526, -3536?
-3548
What is the next term in 1232, 5435, 12608, 22751, 35864?
51947
What is next in 505, 698, 1217, 2224, 3881?
6350
What comes next: -1735, -6394, -13977, -24484, -37915?
-54270
What comes next: 10741, 10782, 10823, 10864, 10905, 10946?
10987
What is the next term in 87, 244, 461, 732, 1051?
1412
What is the next term in 17664, 17668, 17672?
17676
What is the next term in 50, -171, -392, -613, -834?
-1055
What is next in 448019, 448017, 448015, 448013, 448011, 448009?
448007
What is the next term in 61686, 61687, 61688, 61689, 61690?
61691
What is the next term in 101701, 101667, 101611, 101533, 101433, 101311?
101167
What comes next: 52148, 52149, 52150, 52151?
52152
What comes next: -12, -94, -314, -744, -1456, -2522, -4014, -6004?
-8564
What is the next term in -56, -159, -294, -455, -636, -831?
-1034
What is next in 1887, 2382, 2877, 3372?
3867
What is next in 885, 1775, 2663, 3549?
4433
What comes next: 24301, 48603, 72901, 97195, 121485, 145771?
170053
What comes next: 65, 44, 23, 2, -19, -40?
-61
What comes next: 1747, 1685, 1621, 1555, 1487?
1417
What is next in 1463805, 1463806, 1463815, 1463838, 1463881?
1463950
What is the next term in -2440, -9769, -21970, -39031, -60940, -87685, -119254?
-155635
What is the next term in -26742, -53482, -80222, -106962?
-133702
What is next in -14011, -28032, -42063, -56110, -70179?
-84276
What is next in 32010, 31686, 31152, 30414, 29478, 28350?
27036
What is next in 122, 616, 1442, 2606, 4114, 5972?
8186
What is the next term in 111748, 111754, 111772, 111808, 111868, 111958, 112084?
112252
What is the next term in 3681, 3463, 3243, 3021, 2797, 2571, 2343?
2113
What comes next: 20, 21, -16, -121, -324, -655?
-1144
What is next in -339, -1554, -3643, -6606, -10443, -15154, -20739?
-27198
What comes next: 163, 160, 151, 136?
115
What is the next term in 291979, 291975, 291969, 291961, 291951, 291939?
291925
What is the next term in -85546, -85551, -85560, -85573, -85590, -85611, -85636?
-85665
What is next in 117, 205, 299, 399, 505, 617?
735
What is next in 109, 108, 133, 190, 285, 424?
613
What comes next: 73, 203, 443, 847, 1469, 2363, 3583?
5183
What is next in 1116, 2669, 4222, 5775, 7328?
8881
What is next in 39, 92, 143, 186, 215?
224
What comes next: 32, 46, -60, -346, -872?
-1698
What is next in 17101, 34202, 51305, 68410, 85517, 102626, 119737?
136850
What is next in 307, 469, 631, 793, 955, 1117?
1279
What is the next term in 1687, 1681, 1677, 1675, 1675, 1677, 1681?
1687
What is the next term in 302, 966, 1630?
2294
What is the next term in -107713, -215424, -323135?
-430846
What is next in 2358, 3527, 4700, 5877?
7058
What comes next: 44, -68, -198, -352, -536, -756?
-1018
What is the next term in -35075, -70149, -105223, -140297?
-175371
What is next in -507, -524, -541?
-558
What is next in -26, -207, -388, -569?
-750
What is next in -45155, -45154, -45153, -45152, -45151?
-45150
What is the next term in 1638, 3241, 4844, 6447, 8050?
9653
What comes next: -7223, -28883, -64953, -115409, -180227, -259383?
-352853
What is next in -4227, -4207, -4173, -4125, -4063?
-3987
What is the next term in 4, 3, 44, 139, 300, 539, 868, 1299?
1844
What is next in -1041, -8262, -27819, -65868, -128565, -222066, -352527?
-526104
What comes next: -405, -441, -465, -471, -453, -405, -321, -195?
-21
What is next in 175, 168, 149, 124, 99, 80, 73, 84?
119
What is the next term in -16752, -33553, -50354, -67155?
-83956
What comes next: 12576, 25146, 37716, 50286, 62856?
75426
What is next in -37, -259, -819, -1873, -3577, -6087, -9559, -14149?
-20013
What comes next: -12594, -12657, -12762, -12909, -13098, -13329?
-13602
What is the next term in -6154, -12569, -18994, -25435, -31898, -38389, -44914?
-51479
What comes next: 832, 717, 400, -221, -1248, -2783, -4928?
-7785
What is next in 435, 899, 1363, 1827, 2291?
2755
What is next in -529, -966, -1403, -1840, -2277, -2714?
-3151
What is the next term in 264448, 264447, 264446, 264445?
264444
What is next in -1704, -3426, -5124, -6786, -8400, -9954, -11436?
-12834
What comes next: -386, -373, -356, -335, -310, -281, -248?
-211
What is next in 76, 162, 240, 322, 420?
546
What comes next: -461, -2048, -4761, -8600, -13565, -19656?
-26873
What comes next: 1617, 1663, 1713, 1767?
1825
What is next in 564, -425, -3116, -8361, -17012, -29921, -47940?
-71921
What comes next: -170, -700, -1578, -2804, -4378, -6300, -8570?
-11188
What is the next term in 221, 327, 525, 833, 1269?
1851
What comes next: -2489, -4966, -7443, -9920, -12397, -14874?
-17351
What is next in -5443, -8032, -10633, -13252, -15895, -18568?
-21277
What is the next term in -66429, -66432, -66435, -66438, -66441, -66444?
-66447
What is the next term in -64963, -129933, -194903?
-259873
What is the next term in -4, 43, 108, 185, 268, 351?
428
What comes next: 14131, 56566, 127291, 226306, 353611, 509206, 693091?
905266
What comes next: 23963, 47945, 71941, 95957, 119999, 144073?
168185
What comes next: 9643, 9619, 9579, 9523, 9451, 9363?
9259
What is next in 827, 1079, 1331?
1583
What is next in 254, 216, 170, 116, 54, -16, -94?
-180
What is next in 13271, 106172, 358327, 849362, 1658903, 2866576, 4552007, 6794822?
9674647
What is next in 13247, 52991, 119245, 212021, 331331, 477187, 649601, 848585?
1074151
What is the next term in -116, -76, -28, 28, 92, 164, 244?
332
What is the next term in -4838, -8261, -11698, -15155, -18638, -22153, -25706, -29303?
-32950
What is next in -6573, -13143, -19713, -26283, -32853, -39423?
-45993
What is the next term in -325165, -325159, -325141, -325105, -325045, -324955, -324829?
-324661
What is next in 2050, 8206, 18466, 32830, 51298, 73870, 100546?
131326
What is the next term in 1497, 12025, 40599, 96243, 187981, 324837?
515835
What is next in 3309, 2766, 2223, 1680, 1137?
594
What is the next term in 9388, 9363, 9320, 9259, 9180, 9083?
8968
What is next in -129, -148, -191, -270, -397, -584, -843, -1186?
-1625
What is the next term in 1774, 2362, 2948, 3532, 4114, 4694, 5272?
5848
What is the next term in -151, -466, -949, -1594, -2395, -3346, -4441?
-5674
What comes next: 70299, 140592, 210885?
281178
What comes next: 679, 2694, 6049, 10744?
16779
What comes next: 26, 2, -116, -382, -850, -1574?
-2608
What is the next term in -168, -323, -476 | {
"pile_set_name": "DM Mathematics"
} |
49
What are the prime factors of 15401535?
3, 5, 53, 19373
List the prime factors of 647064.
2, 3, 11, 19, 43
What are the prime factors of 1543980?
2, 3, 5, 25733
List the prime factors of 2923565.
5, 584713
List the prime factors of 12239252.
2, 17, 179989
What are the prime factors of 188705?
5, 11, 47, 73
List the prime factors of 169627.
169627
List the prime factors of 1582476.
2, 3, 7, 18839
List the prime factors of 1871209.
73, 25633
List the prime factors of 12314772.
2, 3, 342077
What are the prime factors of 3073851?
3, 11, 61, 509
What are the prime factors of 68094?
2, 3, 13, 97
List the prime factors of 689666.
2, 61, 5653
List the prime factors of 5551936.
2, 13, 6673
List the prime factors of 949338.
2, 3, 13, 4057
What are the prime factors of 184458?
2, 3, 71, 433
List the prime factors of 485564.
2, 19, 6389
List the prime factors of 346776.
2, 3, 14449
List the prime factors of 20776320.
2, 3, 5, 3607
What are the prime factors of 1935443?
1935443
List the prime factors of 334646.
2, 13, 61, 211
List the prime factors of 651748.
2, 162937
List the prime factors of 494193.
3, 7, 101, 233
List the prime factors of 450461.
11, 31, 1321
List the prime factors of 4994928.
2, 3, 34687
What are the prime factors of 9468377?
2731, 3467
List the prime factors of 1627611.
3, 542537
What are the prime factors of 895598?
2, 11, 40709
List the prime factors of 802472.
2, 11, 829
List the prime factors of 3356587.
13, 31, 8329
What are the prime factors of 7242?
2, 3, 17, 71
What are the prime factors of 2436593?
17, 143329
What are the prime factors of 140652?
2, 3, 3907
List the prime factors of 9116.
2, 43, 53
List the prime factors of 1185339.
3, 395113
What are the prime factors of 5429349?
3, 22343
List the prime factors of 156969.
3, 107, 163
What are the prime factors of 15769569?
3, 353, 14891
List the prime factors of 1374853.
41, 33533
List the prime factors of 307128.
2, 3, 67, 191
List the prime factors of 2628777.
3, 131, 6689
What are the prime factors of 12222000?
2, 3, 5, 7, 97
List the prime factors of 8512642.
2, 131, 32491
What are the prime factors of 1314412?
2, 11, 29873
List the prime factors of 20134.
2, 10067
List the prime factors of 4229903.
89, 47527
List the prime factors of 704421.
3, 23, 41, 83
List the prime factors of 16759503.
3, 761, 2447
What are the prime factors of 22532?
2, 43, 131
List the prime factors of 944527.
944527
What are the prime factors of 14938812?
2, 3, 7, 59281
What are the prime factors of 4566744?
2, 3, 7, 13, 17, 41
What are the prime factors of 2927492?
2, 29, 25237
List the prime factors of 79729.
13, 6133
What are the prime factors of 663937?
663937
List the prime factors of 1818262.
2, 19, 59, 811
What are the prime factors of 1075633?
13, 97, 853
List the prime factors of 68728.
2, 11, 71
List the prime factors of 2290268.
2, 572567
What are the prime factors of 498313?
19, 26227
List the prime factors of 13901505.
3, 5, 926767
List the prime factors of 3285413.
337, 9749
What are the prime factors of 423657?
3, 13, 17, 71
List the prime factors of 2063819.
2063819
What are the prime factors of 1790474?
2, 7, 17, 7523
List the prime factors of 296947.
7, 59, 719
List the prime factors of 6112545.
3, 5, 407503
List the prime factors of 342322.
2, 171161
List the prime factors of 42744.
2, 3, 13, 137
What are the prime factors of 200116?
2, 7, 1021
List the prime factors of 12991143.
3, 11, 393671
List the prime factors of 6334881.
3, 7, 31, 37, 263
List the prime factors of 313395.
3, 5, 17, 1229
List the prime factors of 458627.
13, 35279
What are the prime factors of 632179?
17, 41, 907
What are the prime factors of 147792?
2, 3, 3079
What are the prime factors of 9737691?
3, 3245897
What are the prime factors of 120264?
2, 3, 5011
What are the prime factors of 15390456?
2, 3, 19, 33751
List the prime factors of 3744073.
137, 27329
What are the prime factors of 1320625?
5, 2113
What are the prime factors of 1282813?
7, 183259
List the prime factors of 2260622.
2, 7, 13, 12421
What are the prime factors of 8453865?
3, 5, 7, 80513
List the prime factors of 6926284.
2, 1731571
What are the prime factors of 610246?
2, 7, 13, 479
What are the prime factors of 45309?
3, 11, 1373
List the prime factors of 1024756.
2, 256189
List the prime factors of 7733661.
3, 13, 59, 3361
List the prime factors of 1845785.
5, 311, 1187
List the prime factors of 27817827.
3, 9272609
List the prime factors of 173190.
2, 3, 5, 23, 251
What are the prime factors of 17212?
2, 13, 331
List the prime factors of 1312904.
2, 164113
What are the prime factors of 877253?
13, 67481
What are the prime factors of 191034?
2, 3, 10613
List the prime factors of 73432.
2, 67, 137
What are the prime factors of 503608?
2, 7, 17, 23
List the prime factors of 29286.
2, 3, 1627
List the prime factors of 10082878.
2, 13, 23, 1297
What are the prime factors of 21259119?
3, 7, 19, 53281
What are the prime factors of 678752?
2, 21211
List the prime factors of 17432556.
2, 3, 1452713
List the prime factors of 1743727.
1743727
What are the prime factors of 429104?
2, 13, 2063
List the prime factors of 1230884.
2, 127, 2423
List the prime factors of 5477402.
2, 7, 239, 1637
What are the prime factors of 430167?
3, 223, 643
What are the prime factors of 1967105?
5, 7, 31, 37
What are the prime factors of 2347042?
2, 1173521
List the prime factors of 113914.
2, 56957
What are the prime factors of 34785?
3, 5, 773
What are the prime factors of 20739176?
2, 29, 89393
List the prime factors of 2460342.
2, 3, 17, 24121
What are the prime factors of 5822470?
2, 5, 582247
List the prime factors of 162091.
162091
What are the prime factors of 155381?
155381
List the prime factors of 90220.
2, 5, 13, 347
List the prime factors of 231071.
269, 859
List the prime factors of 490670.
2, 5, 139, 353
List the prime factors of 4746653.
563, 8431
List the prime factors of 310071.
3, 103357
What are the prime factors of 824814?
2, 3, 45823
What are the prime factors of 9869872?
2, 53, 103, 113
What are the prime factors of 2269937?
53, 42829
What are the prime factors of 563950?
2, 5, 11279
What are the prime factors of 269353?
7, 23, 239
List the prime factors of 1360759.
1360759
What are the prime factors of 879603?
3, 293201
What are the prime factors of 2674832?
2, 167177
What are the prime factors of 185448?
2, 3, 7727
What are the prime factors of 892333?
13, 83, 827
List the prime factors of 532129.
13, 40933
What are the prime factors of 1201755?
3, 5, 113, 709
List the prime factors of 12598722.
2, 3, 37, 18917
List the prime factors of 206198.
2, 103099
What are the prime factors of 1445765?
5, 17, 73, 233
List the prime factors of 564644.
2, 141161
What are the prime factors of 221444?
2, 23, 29, 83
List the prime factors of 468979.
7, 17, 563
List the prime factors of 3487196.
2, 149, 5851
What are the prime factors of 755310?
2, 3, 5, 17, 1481
List the prime factors of 2574252.
2, 3, 23, 3109
What are the prime factors of 480550?
2, 5, 7, 1373
List the prime factors of 2126347.
19, 111913
What are the prime factors of 4890729?
3, 1630243
What are the prime factors of 5101356?
2, 3, 13, 53, 617
What are the prime factors of 231594?
2, 3, 11, 29
List the prime factors of 6344849.
7, 23, 39409
What are the prime factors of 147833?
7, 431
List the prime factors of 137915.
5, 27583
What are the prime factors of 457993?
43, 10651
List the prime factors of 4092031.
31, 132001
What are the prime factors of 625326?
2, 3, 13, 8017
List the prime factors of 1864554.
2, 3, 109, 2851
What are the prime factors of 2215958?
2, 23, 67, 719
What are the prime factors of 244919?
17, 14407
What are the prime factors of 85496?
2, 10687
List the prime factors of 565593.
3, 7, 23, 1171
What are the prime factors of 1357612?
2, 97, 3499
What are the prime factors of 326450?
2, 5, 6529
List the prime factors of 420590.
2, 5, 137, 307
List the prime factors of 4085892.
2, 3, 113497
List the prime factors of 9985119.
3, 3328373
What are the prime factors of 836406?
2, 3, 1721
List the prime factors of 2278833.
3, 17, 44683
What are the prime factors of 272586?
2, 3, 181, 251
What are the prime factors of 2757772?
2, 47, 14669
What are the prime factor | {
"pile_set_name": "DM Mathematics"
} |
385bb
In base 16, what is -b5ebe7 + -1?
-b5ebe8
In base 16, what is -6 - -2da5b69?
2da5b63
In base 9, what is 13355574 - 3?
13355571
In base 8, what is 44112 + -101731?
-35617
In base 11, what is 163a79 - 180?
1638a9
In base 9, what is -2822232 - 476?
-2822718
In base 8, what is 3672 - 33631?
-27737
In base 8, what is -12110 - 23336?
-35446
In base 16, what is -7e8 - -254?
-594
In base 16, what is -ad500 - a0?
-ad5a0
In base 14, what is -3d65c - -83?
-3d5b9
In base 5, what is 20 - 124302130134?
-124302130114
In base 4, what is 123230211100 + -11?
123230211023
In base 4, what is 3 + 1233330213301?
1233330213310
In base 13, what is -13a53 + 233?
-13820
In base 11, what is 5689 - 15a91?
-10403
In base 4, what is -3300232 + 31201?
-3203031
In base 9, what is -231165 - 3684?
-234860
In base 4, what is 12111033 - 11122?
12033311
In base 7, what is -1 - 3331656?
-3331660
In base 9, what is -1355442 + 104?
-1355337
In base 9, what is 150084810 - -2?
150084812
In base 8, what is 1274 + 13721?
15215
In base 4, what is 10 - 1201021320?
-1201021310
In base 8, what is -4643075224 - 1?
-4643075225
In base 12, what is 754b8 + -718?
749a0
In base 7, what is 213 + 4041113?
4041326
In base 3, what is 212002122012112120 + 10?
212002122012112200
In base 6, what is 1105133132 - -4?
1105133140
In base 9, what is 742276 - -216?
742503
In base 8, what is -453574 + 713?
-452661
In base 10, what is 31922 + -412?
31510
In base 3, what is 11 - 11111202201?
-11111202120
In base 15, what is -2e604 - b6e?
-30273
In base 12, what is -19 + a477?
a45a
In base 8, what is -166721 - 635?
-167556
In base 13, what is -1828c - -1b54?
-16438
In base 7, what is 12643 + 12244?
25220
In base 5, what is 43040 + 1240?
44330
In base 4, what is -10 + -22113201330331?
-22113201331001
In base 12, what is -7 + -2b5028?
-2b5033
In base 8, what is -3 + -11635112?
-11635115
In base 6, what is -4 + 11141411?
11141403
In base 5, what is 1103 + 20110344?
20112002
In base 2, what is -101 + 1001000101000000110101111000?
1001000101000000110101110011
In base 14, what is -202 + 3bd0?
39cc
In base 14, what is -1dd48a + 1a0?
-1dd2ca
In base 7, what is 114 + -624440?
-624323
In base 13, what is 4 - -3096813?
3096817
In base 8, what is 3 + 366356756?
366356761
In base 9, what is 4687175 + -25?
4687150
In base 5, what is -3233422324 - 10?
-3233422334
In base 15, what is 174cea - -5a?
174d55
In base 6, what is -20420 + -2140421?
-2201241
In base 11, what is 36 + 353911?
353947
In base 15, what is 1bbbc + 387?
1c054
In base 6, what is -5 + -32354053452?
-32354053501
In base 16, what is -58e7aee - -5?
-58e7ae9
In base 10, what is -473241626 - 2?
-473241628
In base 12, what is 8224 + -486?
795a
In base 10, what is -21586 + 728?
-20858
In base 16, what is 2b5a3f7 + 1?
2b5a3f8
In base 10, what is 220 - 32202?
-31982
In base 9, what is 2 - -13848513?
13848515
In base 2, what is -110 + 10010100011001101010?
10010100011001100100
In base 10, what is -124 - 148549?
-148673
In base 13, what is -c688 - 6c0c?
-16597
In base 5, what is -43401221 + 2?
-43401214
In base 2, what is 10011101110110101100100 + 1001?
10011101110110101101101
In base 7, what is -553040665 - 1?
-553040666
In base 3, what is -11 + -12002020110011?
-12002020110022
In base 14, what is -21 + -d64962?
-d64983
In base 6, what is -21001501 + -41?
-21001542
In base 8, what is 5 - 512436036?
-512436031
In base 13, what is -a7 - 138c4?
-1399b
In base 10, what is 841977 + -38?
841939
In base 13, what is 1b4360 + -a?
1b4353
In base 16, what is -2f8f54 - 1f?
-2f8f73
In base 14, what is a7abc - 53?
a7a69
In base 15, what is -1806a + 1767?
-16803
In base 9, what is -330026 + -2374?
-332411
In base 4, what is -2132123110 + -211?
-2132123321
In base 8, what is -30 - -10253165?
10253135
In base 10, what is 5 - -2788669?
2788674
In base 6, what is 5 - -1545125024?
1545125033
In base 3, what is 212210200111001 - -2?
212210200111010
In base 13, what is 5 - 5306a3?
-53069b
In base 4, what is 1001321 - 22223?
313032
In base 14, what is 437459 - 10?
437449
In base 10, what is 326791 + -77?
326714
In base 14, what is 17 + 55d3d7?
55d410
In base 15, what is a1b702 - 8?
a1b6e9
In base 8, what is 167522 - 315?
167205
In base 16, what is 663ccb7 - 5?
663ccb2
In base 7, what is -2450 + 1143123?
1140343
In base 14, what is 1 + 131974?
131975
In base 13, what is 295735 - 4?
295731
In base 2, what is 100100100110100100111 - 10011100?
100100100110010001011
In base 16, what is -49 + 165f70?
165f27
In base 13, what is -18278 - -494?
-17ab4
In base 8, what is 2245 - -226665?
231132
In base 5, what is 11101223234 - 10?
11101223224
In base 3, what is 12 - -120210120221212?
120210120222001
In base 13, what is 837045 - 1?
837044
In base 15, what is -743ab - -260?
-7414b
In base 14, what is -2 - -10c73b22?
10c73b20
In base 16, what is 4 - 91ee9a?
-91ee96
In base 8, what is 34 + 106050367?
106050423
In base 13, what is 10908 + -1b6?
10722
In base 13, what is 4 - 71739?
-71735
In base 6, what is -13515 + -2100231?
-2114150
In base 8, what is -133 + -1517726?
-1520061
In base 11, what is -24 + -3721a2?
-372216
In base 8, what is 12023750 + -5?
12023743
In base 14, what is -441 - -3c6?
-59
In base 11, what is 0 - -44306168?
44306168
In base 6, what is 1000 - 455353?
-454353
In base 5, what is -124302202231 + -2?
-124302202233
In base 8, what is -1122207120 - -4?
-1122207114
In base 5, what is 1 + 432403132?
432403133
In base 13, what is 84c4 + c43?
9437
In base 14, what is -89daa1b - -5?
-89daa16
In base 16, what is -171967 + -27?
-17198e
In base 13, what is -34904 + 24?
-348b0
In base 6, what is 1015 + 3432314?
3433333
In base 11, what is -5302167a - 4?
-53021683
In base 6, what is 21313221 + -51?
21313130
In base 10, what is -59637 + -151?
-59788
In base 15, what is -351d + -111cc?
-146ea
In base 11, what is -2948 + -3295?
-6132
In base 13, what is -9 - 10027aa?
-10027b6
In base 14, what is -9c658 + -c9?
-9c743
In base 8, what is -3074101 - 142?
-3074243
In base 9, what is -7384 - -36267?
27773
In base 5, what is -2212012 + 1013212?
-1143300
In base 9, what is 1868001524 + -3?
1868001521
In base 14, what is -10ac8c - 547?
-10b3d5
In base 14, what is -6800 - 16?
-6816
In base 14, what is 1814b1a + -2?
1814b18
In base 14, what is 4 + 39ad37?
39ad3b
In base 10, what is -46325 + -2375?
-48700
In base 15, what is 25a6d + a8?
25b26
In base 7, what is 42463242551 + -3?
42463242545
In base 6, what is 4034 + 43422?
51500
In base 9, what is -5588578 + 271?
-5588307
In base 7, what is 43 + 200453?
200526
In base 7, what is -11362624 + -10?
-11362634
In base 6, what is 202 + -5054135?
-5053533
In base 14, what is -8aa90c + -21?
-8aa92d
In base 14, what is b21 - -39cab?
3a9cc
In base 11, what is 0 - -70a51a?
70a51a
In base 12, what is 5776 - -b689?
15243
In base 13, what is -2 + -1709b9c4?
-1709b9c6
In base 13, what is 18bc8b - -108?
18c096
In base 2, what is -101110010 + 1001001010110001010?
1001001010000011000
In base 5, what is -414104424 + 12?
-414104412
In base 4, what is -13200120 - 2020223?
-21221003
In base 14, what is 10482 - 28d?
101d3
In base 5, what is -30214122 + -1103?
-30220230
In base 3, what is -2 - 102022101102?
-102022101111
In base 4, what is 321 - -112032123?
112033110
In base 2, what is -100 + 11011100010111011000111?
11011100010111011000011
In base 4, what is -101331200 + 112302?
-101212232
In base 2, what is -100 - -1111001011011?
1111001010111
In base 3, what is -210 - 2100021101010?
-2100021101220
In base 12, what is -545a9 + 14?
-54595
In base 5, what is -1330 + -4012433?
-4014313
In base 3, what is 101001201111000001 + 1?
101001201111000002
In base 6, what is 51044344242 + -1?
51044344241
In base 16, what is 1dd3c96 - 4?
1dd3c92
In base 8, what is 1331 - 62062?
-60531
In base 14, what is -1d03 + 48cd?
29ca
In base 3, what is -10101 + -22210111222?
-22210122100
In base 16, what is -b4baa - -3?
-b4ba7
In base 5, what is -33204 - -2420143?
2331434
In base 16, what is b626a - f3?
b6177
In base 9, what is -53711706 + -5?
-53711712
In base 5, what is 1 - 113300444?
-113300443
In base 4, what is 2322 + -11032331?
-11030003
In base 10, what is 789 + -8318?
-7529
In base 13, what is 5 - -712a543?
712a548
In base 11, what is -28648a8 - -8?
-28648a0
In base 12, what is -6a33a + 363?
- | {
"pile_set_name": "DM Mathematics"
} |
+ y. Solve -z*o - t = -4, 0 = -2*t + 1 - 5 for o.
3
Let x be 6/(((-16)/(-4))/(-8)). Let w be (8/12)/((-2)/x). Let n = -6 - -7. Solve 5*h = w*v - 8, 2*v + n = -5 for h.
-4
Suppose 4*m + 4 - 5 = -p, -4*p + 5*m = 17. Let t be (4 + p)/(3/9). Let x be (10 - 6/2) + -3. Solve 2*g - 2 = -t*c, 2*c = -3*c - 3*g + x for c.
2
Let n(o) = o**3 - 4*o**2 - 5*o - 14. Suppose 6 = 3*w - 12. Let a be n(w). Solve s = -5*c + a - 4, -2*c + 28 = 5*s for s.
4
Let d(n) = -8*n + 157. Let x be d(19). Solve 0 = -3*h - 3*t + 15, -3*h + x*h + 3*t = 10 for h.
5
Suppose -6 = -63*u + 246. Let w be (1 + 2)*3*1. Let v be (-3 - 14/(-4))*4. Solve 6*o - 3*o - 21 = -u*a, a + v*o - w = 0 for a.
3
Suppose 3*z - 1 + 17 = 5*o, -2*z + 21 = 3*o. Solve o = -3*i + 7*i - x, 20 = -2*i - 4*x for i.
0
Let c = -67 - -70. Solve -3*f + 0*r = 5*r + 23, 9 = c*f - 3*r for f.
-1
Let u = -194 - -196. Solve b - 2*o + 8 + u = 0, 3*b - 14 = -5*o for b.
-2
Suppose 5*u - 80 = -2*v, -36*u - 64 = -40*u + 2*v. Solve -a = -4*s + 18, 2*a - s - u = -6*s for a.
-2
Suppose 0 = -2*d - 0*d, -i + 3 = -4*d. Solve p + 10 = -4*p, i*z + 1 = 4*p for z.
-3
Suppose 6*c = 4*c, -4*t - 2*c + 8 = 0. Solve -34*w + t*y + 10 = -31*w, 0 = w + 2*y + 10 for w.
0
Let j = 33 - 27. Suppose 22 = 4*b + j. Solve b*p + 16 = -r, -3*r - 4*p - 15 = 1 for r.
0
Let x(i) = 11 + 43 + 0*i - 7 + 2*i. Let w be x(-22). Solve -4*t = -w*c + 28, -5*t + 0*t - 20 = 0 for c.
4
Suppose -h = -i + 2, 0*h + 5*h + 4 = 4*i. Suppose -2*t + o - 2 + i = 0, 0 = 4*o. Solve -7 = -3*q - t*y + 8, -5*q = 5*y - 30 for q.
3
Let p be (-6)/(-5) - (-1 + 2) - 1599/(-205). Let y be -8*((-1)/2 + 0). Solve -4*v + 5 = -3, -4*c + p = y*v for c.
0
Let h be 85/7 + (-79)/553. Suppose -4*r + 2 + 6 = 0. Solve 4*w = w + 3*i + 24, -r*w + i = -h for w.
4
Suppose -17 = -2*z - 3. Suppose 8 = -x + 15. Let s be (-2)/z - (-156)/x. Solve -4*g + 3*h = s, -9 - 9 = 3*g - 3*h for g.
-4
Suppose -15*o = -14*o - 3. Solve -o*b + 5*b + 8 = n, 3*b - 2*n = -13 for b.
-3
Let h = 32 - 28. Suppose 2*a = 3*f - 3, 3*f + a - 3 = 6*a. Let y be 16/(5 - f) + -2. Solve 26 = -0*j - y*j - 5*c, 7 = 3*j - h*c for j.
-3
Let x = -198 - -203. Solve 2*a + 0*l + 2 = -x*l, 3*a + 3*l = -3 for a.
-1
Let k(n) = n - 17. Let b(s) = s. Let u(i) = -5*b(i) + k(i). Let w be u(-6). Solve -5*z = 3*v + 3, 2*z - w*z + 1 = -v for z.
0
Suppose 2*n = 23 - 15. Solve -n*x - 2*s = -2, 3*x + 15 + 11 = 4*s for x.
-2
Suppose 0*b + 5*b = 2*l + 24, -l = 3*b - 10. Suppose -q = -2*h + 8, 0 = -b*q - h + 18 - 5. Solve g + j = -3, -g + q*j - j - 3 = 0 for g.
-3
Suppose -y + 3*z - 3 = -42, y = -z + 39. Let d = -19 + y. Suppose 4*q + q = d. Solve -q*o + 4 + 12 = 0, -5*w - 4*o = -31 for w.
3
Let i be (2*(-1 + -3) + 8)/2. Solve i = 2*z - 3*y - 6, -2*z - 2 = -5*z + y for z.
0
Suppose -1 + 4 = -3*n. Let g be n*(-4 + -1 + 1). Let m be (-12)/9*(g + -7). Solve x - 17 + 3 = m*w, x - 8 = 2*w for x.
2
Let u be (-7 - 122/(-18))*-9. Solve o - 5*w = 13 + u, 0 = -3*o - 5*w - 15 for o.
0
Let s = 248 + -240. Solve 0 = -o - u + 4 - s, -2*u = 4*o + 8 for o.
0
Let q = -3 + 4. Let i = q + 6. Let z = i + -5. Solve 4*w - z*t = 1 + 1, 2*w - 4*t - 10 = 0 for w.
-1
Let u be 6/(-9)*3*9 - -2. Let w be 18/4*u/(-12). Solve 5*z = -r + w, 10 = 3*z - 2*z - 2*r for z.
2
Let w(z) = -8*z**3 - z**2 - 2*z - 1. Let b be w(-1). Suppose -b + 0 = -8*i. Let m = 13 + -8. Solve -2*p + f = p - i, f = -3*p + m for p.
1
Let m(x) = -3*x + 29. Let k be m(9). Suppose 0 = k*o - 8*o + 2*o. Solve o = -2*j - 0 - 6, -4*w + 3*j = -25 for w.
4
Suppose -5*r = -3*d + 85, 0 = -r + 3*d - 8*d - 17. Let j = r - -17. Solve z - 22 = 5*p, -z + j*z - 23 = 4*p for z.
-3
Let y(q) = -q**2 + 22*q - 84. Let u be y(16). Solve -3*r - 3*s = -18, 2*s - 6*s - u = -5*r for r.
4
Let h(k) = k + 10. Let i be (-3)/(-1 - 2)*-6. Let z be h(i). Solve o + z*l + 2 = 0, 6 + 4 = -5*o - l for o.
-2
Let z(a) = -3*a**2 + 6*a + 17. Let w(v) = 2*v**2 - 3*v - 9. Let l(i) = 5*w(i) + 3*z(i). Let s be l(-2). Solve -10 = -2*x, s*x = 4*t + 13 + 19 for t.
-3
Let l(w) = -w**3 + 14*w**2 + 2*w - 19. Let x be l(14). Suppose x*j - j - 32 = 0. Solve 2*v = j*b - 22, 1 = v - 4*b + 18 for v.
-5
Let h(v) = 2*v**3 - 7*v**2 + 8*v - 2. Let c be h(2). Solve -3*n = 0, c*n = s - 1 - 1 for s.
2
Suppose 65 = -5*d - 2*o - 0*o, 5*o - 30 = 5*d. Let g = -5 - d. Solve -3*x - g = -z, -5*z + 0*x = 2*x + 4 for z.
0
Let l be 21/(-28)*6*(-4)/(-6). Let n be 2 - 3 - (l + -2). Solve -2*i = k + n, -i - 2 = k + k for i.
-2
Let g be 6/(1 - 3) + 10. Suppose -1 = -q + g. Let j = -6 + q. Solve 5*u - 4*z - j = 0, -3*u + 5*z - 4 = -0 for u.
2
Suppose -5*t + 178 = 3*l, -5 = 3*t - 2*l - 127. Suppose 2*n + t = -0*n. Let x = 24 + n. Solve z = -5*b + 3*b + x, 3*z + 3 = 0 for b.
3
Suppose 0 = c + m - 3*m + 4, -3*m = -12. Let q(d) = -2*d - 1. Let j be q(-2). Suppose -f = -j*f + c. Solve -3*u + 5*u = -4*w + 20, f*u = 3*w - 1 for u.
4
Suppose -3*f + 147 - 132 = 0. Solve -20 = -3*z - f*l, 0*l + 4 = 4*l for z.
5
Suppose 0 = -183*d + 189*d. Solve -2*a + 10 = d, 2*a = -4*h - 0*a + 26 for h.
4
Let t be (7 - 13)*(-1)/2. Suppose 4*l - 63 = -t*l. Solve -5*p = -0*p - 2*a + l, p - 2*a + 5 = 0 for p.
-1
Suppose 0 = -4*z + 2*q + 14, -5 = 5*q - 0. Solve -2*i + n - 2 = -n, 4*n - z = 3*i for i.
-1
Let x(i) = -i + 9. Let t be x(9). Solve -3*z + 0*j - 2*j = -17, -4*j + 4 = t for z.
5
Let l be 0*7/21*(-1 + 0). Suppose -5*g + 15 = -l*g. Solve 4*d - 29 = 5*y, 3*y - 2*d + 20 = g for y.
-5
Let m(v) = v**3 + 6*v**2 + 5*v + 3. Let f be m(-5). Suppose 3*i - i = 0, 3*l = 4*i - f. Let n = l + 6. Solve 0 = a - n, -28 = -3*h - 5*a for h.
1
Suppose 87*d + 88 = 109*d. Solve x = 2*h - 4 - 5, -4*x = -d*h + 28 for h.
2
Let z = 2483 - 2479. Solve -u + 2*d - 6 = -2*d, -z = -4*u + 2*d for u.
2
Suppose g = -l - 2*g + 3, -3*g = 2*l - 3. Suppose -2*s - 2*s + 20 = l. Solve s*k - 5*q = 25, k + 5*q + 0*q - 5 = 0 for k.
5
Let u be 20/(-15)*(-3 + 0). Let t(w) = -6*w**3 + 4*w + 3. Let p be t(-1). Suppose -l + 3*f + 11 = -p, -f = -l + 6. Solve 0 = -s + k, u*s + 2*k = -l - 11 for s.
-2
Suppose 2*h = -5*o + 10, -h = -3*o + 3*h + 6. Let f = 2 + 2. Suppose 2*w + o = w - 2*l, -4 = -4*w + f*l. Solve -2*v - 2 = w, 0 = r + 2*r - v + 11 for r.
-4
Let o = 316 + -312. Solve -a - 3*l = a + 1, 4*l - o = -4*a for a.
4
Let n(b) = -4*b**2 - 17*b + 2. Let r(p) = -5*p**2 - 16*p + 1. Let s(v) = 4*n(v) - 3*r(v). Let h be s(-20). Solve m + 5*c = -2*m + 5, -h*c + 15 = m for m.
-5
Suppose 2*y + 3*y = 0. Let l be (0 - 0)/((y - 4) + 6). Solve l = 2*k, -k - 16 = 4*p - 8*p for p.
4
Suppose 22 = -13*m + 61. Solve p - 5*c = 23, 4 - 25 = -3*p + m*c for p.
3
Let v be (6/4)/(((-117)/18)/(-13)). Solve 5*w + v*p - 10 = -0*w, -5*w - 4*p = -15 for w.
-1
Let j be -9*(-2 + (-21)/(-9)). Let p be (j/12)/(4/(-32)). Suppose -u - u + 2 = -a, p*a + u - 6 = 0. Solve -4*l - 8 = a*w, 0 = 2*w - 5*l - 0*l + 8 for w.
-4
Suppose -71*v + 70*v + 1 = 0. Let i(n) = -n**3 + 4*n**2 - 2*n - 2. Let p be i(3). Let r = v - p. Solve t = r, -15 = 5*o - 0*t + t for o.
-3
Let l(t) = -8*t + 3. Let p be l(0). Solve 0 = -p*c - 4*b - 3, 16 = -2*c + 3*b - 3 for c.
-5
Let l(c) = c - 3. Let f(p) = -p + 2. Let u(b) = 3*f(b) + 4*l(b). Let d be u(6). Suppose -20 = -4*k - d. Solve 6*i + 2*z = i - 5, -2*z = -5*i - k for i.
-1
Let d be (-4)/10 + 12852/630. Solve 2*u - 3*g = -0 + 15, -5*u + d = -4*g for u.
0
Suppose -5*v + 20 = 0, -6*m + 2*m - 3*v = -12. Suppose m = 2*q - 4*q + 28. Suppose 148*r = 152*r - 16. Solve -12 = -j + r*h + 2, 5*h = 3*j - q for j.
-2
Let r(k) = k**3 + 3*k**2 + 1. Suppose 2*n + 4 = -0*n. Let y be r(n). Solve y*d + q + 15 = 0, q - 2*q = -3*d - 9 for d.
-3
Suppose -9*w = 724 - 751. Solve w*p = -0*n - 2*n - 15, p + 5 = 0 for n.
0
Let d = 10 + -6. Let b be 92/(-12)*-3 - d. Suppose 0 = -5*p - v + b, p + v - 1 = 2. Solve p*o + 15 = 3*a - 11, 0 = -3*o - a - 13 for o.
-5
Suppose 2*u = -2*q + 10 + 56, -2*u = 4. Let a = q - 29. Solve -4 = -5*b + a, -5*x - 4*b - 17 = 0 for x.
-5
Suppose 0 = 4*s - i + 5 - 2, -9 = -3*i. Solve -4*g - 10 - 2 = 2*f, 4*g - 4*f = s for g.
-2
Let h be (-22)/(-6) + 10/(-15). Let a = 3 - -9. Suppose 5*t + 9 = -11, 3*t + a = w. Solve w = -h*l + 2*b + b + 3, -12 = 3*b for l.
-3
Let f = -22 - -26. Let s be (12/(-24))/((-1)/f). Solve 1 = -l - 2*c, -3*l + l - s = -3*c for l.
-1
Let g be 10/7*952/272. Solve 0 = -f - 4*c - 0*c - 9, -10 = g*c for f.
-1
Let r(y) = y + 3. Let i be r(-3). Suppose | {
"pile_set_name": "DM Mathematics"
} |
p and 6.
3
Let n = -25 + 51. What is the highest common factor of 104 and n?
26
Let g be 80/(14/(-18) - -1). Suppose -3*x = 2*x - g. Suppose 21 = p + 3*f, -p - 1 = f - 14. What is the highest common divisor of x and p?
9
Let g be (-90)/(-8) - (-30)/(-24). Calculate the greatest common factor of 90 and g.
10
Let m = 13 + 20. Calculate the greatest common divisor of 22 and m.
11
Let n(q) = q**2. Let a(s) = -6*s + 8. Let g(d) = -a(d) + 2*n(d). Let i be g(-10). Let h = -11 - -23. What is the highest common divisor of h and i?
12
Suppose -25 - 59 = -6*b. What is the greatest common factor of 126 and b?
14
Let k = -12 - -17. Suppose -3*d + 40 = 2*l, 5*d + 2*l - 56 = 4. Suppose -d = -k*h, 2*h + 2 = q - h. What is the highest common divisor of q and 2?
2
Suppose 0 = 4*r - 71 + 19. Let f(g) = 5*g**2 - g + 7. Let l be f(-4). What is the highest common factor of l and r?
13
Let x(t) = -6*t + 4. Let h be x(-4). Let j(z) = -43*z - 1. Let m be j(-1). Calculate the highest common factor of m and h.
14
Let z = -11 + 0. Let u = z - -26. Let x(y) = 12*y**2 - 3*y + 3. Let h be x(2). Calculate the greatest common factor of u and h.
15
Let m = -3 + 3. Suppose m = -4*p - 0*p. Suppose p*z = -3*z + 30. What is the highest common factor of z and 15?
5
Let s(x) = 159*x - 5. Let a be s(5). Suppose 4*m - 5*w = 650, 3*m + 2*m + 5*w = a. What is the highest common factor of m and 20?
20
Let p be (9/(-5))/(3*6/(-90)). Let t = -22 - -85. What is the greatest common factor of t and p?
9
Let j be (-1)/(2 - 2 - 1). Suppose -16 = -4*n - 5*q - j, n - 6 = q. Calculate the greatest common divisor of 5 and n.
5
Let w = -10 - -14. Let o(u) = 2 + 4*u - w + 46*u. Let t be o(2). Calculate the greatest common factor of t and 14.
14
Let c be 2/4 - (-546)/4. Suppose -c + 27 = -5*u. Let d = -16 + u. What is the greatest common factor of 54 and d?
6
Let u = -12 - -70. Calculate the highest common factor of 638 and u.
58
Let b = 18 + -13. Let c = 20 + 17. Suppose 0 = k - c - 3. What is the greatest common divisor of k and b?
5
Let b = -72 + 48. Let x be (-9)/(-6)*b/(-9). What is the highest common factor of x and 4?
4
Suppose 4*j - 4 = -4*x, -2*j + 4*j + 5*x = -13. Suppose -t - 4*m + 74 = 0, 4*t - 2*t - 5*m - 83 = 0. Calculate the greatest common factor of t and j.
6
Suppose 0 = -2*v + 2*p + 24, -v - 4*p + 22 = 2*v. Calculate the highest common factor of 4 and v.
2
Let q = 161 + -113. What is the greatest common divisor of q and 6?
6
Let d be -9 + -2 + (3 - 0). Let f be d/(-44) + (-62)/(-22). Suppose 57 + 63 = 5*k. Calculate the highest common divisor of k and f.
3
Suppose 2*u = -1 + 7. Suppose -14 = -2*m + c, -m + 0*m - u = 2*c. What is the highest common divisor of m and 2?
1
Suppose 0 = 2*a - 4*b - 10, -3*a - b + 18 = -4*b. Suppose 0 = 5*g - 141 + 36. Let i = -14 + g. What is the greatest common factor of i and a?
7
Let s(r) = r**2 + 5*r + 1. Let c be s(-7). Calculate the highest common divisor of c and 75.
15
Let g be (3 + -6)*(-6)/9. Suppose 2*z - 258 = -4*x, -4*x + g*z + 95 + 167 = 0. Calculate the highest common divisor of x and 26.
13
Suppose 5*a + 135 = 3*j + 2*j, 0 = -j + 4*a + 18. Calculate the greatest common factor of 12 and j.
6
Suppose -5*b - 3*q = -38, b + 0*b + 5*q = 12. Suppose 0 = -7*j + 3*j + 112. Calculate the highest common divisor of j and b.
7
Let i(s) = s - 10. Let h be i(9). Let n be -15 + (h - (-1)/1). Let q = n + 22. Calculate the greatest common factor of q and 7.
7
Let x be (-4)/(-10)*(-7 - -12). Suppose c - x*c + 1 = 0. Let w = -3 - -4. What is the highest common factor of w and c?
1
Let s = -103 + 115. Calculate the greatest common factor of s and 36.
12
Let j(v) = -v**2 - 6*v + 6. Let u be j(-6). Let m be (-188)/(-4) - (0 + 1). Let d = -28 + m. Calculate the highest common factor of u and d.
6
Suppose 5*o - 95 - 80 = 0. Let j be ((-6)/(-7))/(5/o). What is the highest common factor of 15 and j?
3
Suppose -3*q - 5*d - 30 = -140, 3*q - 150 = 3*d. Suppose -23 - 29 = 2*f. Let o = 56 + f. Calculate the greatest common divisor of q and o.
15
Suppose -4*t + 221 = 153. What is the highest common factor of 187 and t?
17
Suppose -2*h = -4*l - 0*h + 466, 5*l = 4*h + 581. Suppose -3*f + 44 = 5. Calculate the highest common factor of f and l.
13
Suppose 14 + 10 = 4*x. Let p = -4 + x. Let k be -1 + (2 - -17) + 0. What is the greatest common factor of k and p?
2
Suppose -5*s = -28 - 122. What is the greatest common factor of s and 45?
15
Suppose 0 = 3*r - 3 - 3. Suppose -r*x - 2*x + 144 = 0. What is the greatest common divisor of 90 and x?
18
Let f = 17 + -11. Let q = -2 + f. Let m(k) = 3*k**2 + 6*k + 4. Let c be m(-4). What is the highest common factor of q and c?
4
Suppose 2*z + 2*z - 8 = -s, 2*s + 2*z = -14. Let o be 295/30 + (-2)/s. What is the highest common divisor of 10 and o?
10
Let u(s) = -s**2 + 7*s - 6. Let m be u(4). Suppose 0 = b + b - m. What is the highest common factor of 12 and b?
3
Suppose 37 = 5*s - 23. Calculate the greatest common divisor of s and 12.
12
Let c be 1 + 13 + -1 + 0. Let z(h) = h**2 - 4*h - 23. Let i be z(-10). Calculate the greatest common factor of i and c.
13
Let q(n) = -n**3 + 2*n**2 + 9. Let b be q(0). What is the greatest common divisor of b and 45?
9
Let b(q) be the first derivative of -q**4/4 - 11*q**3/3 - q**2 - 10*q + 3. Let k be b(-11). What is the highest common factor of k and 96?
12
Let a = 14 + -8. Suppose 4*r + 6 = 6*r. What is the greatest common divisor of r and a?
3
Let v(b) = -b**3 - 2*b**2. Let y be v(-2). Suppose y = f + 4*f - 120. Calculate the greatest common factor of f and 3.
3
Suppose 20 = 3*f + 2*t, 44 = 5*f + 4*t + 12. Let a = 18 - 28. Let p = 26 + a. Calculate the greatest common factor of f and p.
8
Let j(k) = -k**3 + 6*k**2 - k - 4. Let l be j(5). What is the highest common divisor of 16 and l?
16
Suppose 7*z - 20 = 2*z. Let m be (0 - -2) + z + 0. What is the greatest common divisor of m and 42?
6
Let p(x) = x**3 - x**2 - 3. Let s be p(0). Let c = -4 + -2. Let r = s - c. What is the highest common factor of 33 and r?
3
Let g be (-1)/(-4) + (-33)/(-12). Let p be (g/3)/(1/14). What is the highest common factor of 42 and p?
14
Suppose 0 = 2*m - 0*m - 22. Let o = 4 - 6. Let v = o - -3. Calculate the greatest common divisor of v and m.
1
Suppose -2*c + 24 = 3*g, 3*g - 8 = 2*g - 3*c. Let w(a) = -a**2 + 10*a - 5. Let u be w(g). What is the highest common factor of 22 and u?
11
Let a = 23 + -12. Let t = 7 - 4. Suppose 2*m = -5*l + 57, -m + 34 = t*l - 0*m. What is the greatest common divisor of a and l?
11
Let m(t) = t**2 - 4*t + 2. Let r be m(6). Suppose 2*z - 26 - r = 0. Calculate the greatest common factor of z and 50.
10
Let h be 3 - (3/(-9))/(2/6). Calculate the highest common factor of h and 2.
2
Suppose -3*x = 3, 13 = 6*b - 2*b - 5*x. Suppose -5*p = b*r - 48 - 22, 4*r + 16 = 3*p. Calculate the greatest common factor of 12 and p.
12
Suppose -6*z = -0*z - 420. Let y = z - -70. Calculate the highest common divisor of y and 56.
28
Suppose 0 = -4*y - 6 + 2. Let v = y - 3. Let q(i) = i + 9. Let x be q(v). What is the greatest common divisor of x and 5?
5
Let y be (4/8*0)/2. Suppose y*b - 81 = -3*b. What is the greatest common divisor of 3 and b?
3
Let q(b) = -b**3 + 8*b**2 - 4*b + 3. Let k be q(5). What is the greatest common factor of 87 and k?
29
Let g = -33 - -44. Calculate the greatest common divisor of 1 and g.
1
Suppose u + 5*c = 22, 0 = u - 0*c - 3*c + 10. Suppose 3*p = u*d + 68, 3*p + 2*d = -d + 63. What is the highest common divisor of p and 11?
11
Let x(u) = -24*u - 8. Let b be x(-5). Calculate the highest common divisor of b and 7.
7
Let l(m) = -m**3 - 7*m**2 + 5*m - 11. Let h be l(-8). What is the highest common divisor of 26 and h?
13
Suppose -h = 5*t - 1579, 0 = 3*t - 0*h + 5*h - 965. What is the greatest common factor of t and 35?
35
Let v(b) = -4*b - 3. Let n be v(-2). Suppose q = -0*y + 3*y - 19, 0 = -4*q + 8. Let a = y - 2. What is the greatest common factor of a and n?
5
Suppose 22 = o + 2. Let g = o - -4. What is the highest common factor of g and 12?
12
Suppose -3*x = -0 - 6. Let b be (1 - -1)*15/x. Calculate the highest common divisor of 15 and b.
15
Let x(i) = i**3 + 5*i**2 + 2*i + 5. Let q be x(-4). Calculate the greatest common divisor of 104 and q.
13
Suppose -2*o = -3*r - 2*r + 55, -3*r | {
"pile_set_name": "DM Mathematics"
} |
. Which is the closest to y? (a) q (b) 2 (c) r
a
Let p = -83.9 + 88. Let z = -4.1 + p. Let a(d) = -d**2 + d - 2. Let n be a(0). What is the nearest to n in 5, z, -0.1?
-0.1
Let i = 0.35 + -0.05. Let j = -146.639 - 0.361. Let g = -146.6 - j. What is the nearest to 2/5 in g, i, -0.4?
g
Let g = -0.7 + 0.5. Let i = -13.35 - 0.15. Let p = i + 13. What is the closest to 1 in -3, p, g?
g
Let n = -298 - -301. What is the closest to 10 in n, 0, -1, -0.3?
n
Let q = 1.3 - 0.8. Suppose 0 = k - 0*k - 64. Suppose -68*j - 24 = -k*j. What is the nearest to j in -2/15, q, 4?
-2/15
Let v = -251/7 - -36. Let k = 1 - 0.9. Let j = -0.0113 - -4.0113. Which is the nearest to k? (a) v (b) 2 (c) j
a
Let i = 2.143 + -0.143. Which is the nearest to 0.1? (a) 7 (b) i (c) -4
b
Let t = 7.918 - 8.318. Let f = 0.3 + -0.5. Which is the closest to f? (a) -0.02 (b) -1 (c) t
a
Suppose r + 61 = -4*a - 24, -5*a = 3*r + 283. Let d = r - -907/9. What is the nearest to 1 in d, 5, -2/7?
d
Let u = 2846.8 - 2847. Let g be (1/(-2))/(1/8). What is the nearest to -1 in g, u, -3/7?
-3/7
Let l = -5 + 8. Let w = 855 + -855.2. Which is the closest to l? (a) -1 (b) 4 (c) w
b
Let r = -0.06 - 0.24. Let n = -251 + 248. Which is the closest to -4/9? (a) r (b) 5 (c) n
a
Let w = 3.2 - -2.1. Let r = 5 - w. Let o be 2/12 - 75/18. Which is the closest to 1? (a) o (b) r (c) -1
b
Let r = 2.38 - 0.38. Which is the closest to r? (a) 0.1 (b) 5 (c) 5/4 (d) 0.2
c
Let v = -33 - 36. Let u = 74 + v. Let d = -2 + 2. Which is the closest to 0? (a) 2 (b) u (c) d
c
Let n = 24 - 15. Let f = 9 - n. Suppose -4*w - 2*w - 6 = f. What is the closest to w in -1, -3/8, 0.1?
-1
Let i(v) = -2*v**2 + 15*v - 27. Let g be i(5). Which is the closest to g? (a) -0.24 (b) 5/2 (c) 4 (d) -2
d
Let l(p) = -p**2 - 3*p - 4. Let j be l(-3). Let h be -3 + (0 - j) + 39. Let g = -118/3 + h. Which is the nearest to 1? (a) -5 (b) g (c) -0.1
b
Let z(j) = -2*j**2 - 9*j - 6. Let g be z(-7). Let d = g + 286/7. Let y be 3/(-7) - (-432)/420 - 0. Which is the closest to -1? (a) d (b) 3 (c) y
a
Let l = -8.1 - -4.2. Let m = -3.5 - l. Let z = 14 + -10. Which is the nearest to 1? (a) 1/5 (b) m (c) z
b
Let y = 11 - 11. Let l = 151.1 - 151. What is the closest to y in l, -2, 5?
l
Let a = 32.2 + -34.2. What is the nearest to a in 2/13, 7, 5?
2/13
Let k = 0.07 + -16.07. Let q = k + 17. What is the nearest to 1 in -4, 0, q?
q
Let t = -401/4 - -100. Which is the closest to 0? (a) 0 (b) 27 (c) t (d) 4
a
Let g = -2158 - -2158.1. Which is the closest to 4? (a) g (b) 0.3 (c) -0.3 (d) 2/5
d
Let s = 180 - 24. Let r be (-24)/s + (-150)/39. Let l = -17.3 + 16. What is the closest to -1 in r, 3, l?
l
Let z(n) = n**2 + 50*n + 402. Let q be z(-40). Which is the closest to -1/4? (a) -8/5 (b) -0.03 (c) q
b
Let v = 273/4 + -69. What is the closest to 2/7 in 0.5, -0.1, v, -2/9?
0.5
Let i = -0.02 - -0.42. Let w = -36.9 + 34.9. Let t be -2 - -3*(-2)/(-3). What is the nearest to t in i, 2/9, w?
2/9
Let f be ((-7)/868)/((-22)/11). What is the closest to f in -5, -2, -1/2?
-1/2
Let g = -1141 + 1142. Let k = 0.74 - -0.06. Let j = -0.3 + k. What is the nearest to g in 1, j, 5/3?
1
Let q = 421 + -7997/19. Let u = -552797/10580 - 2/2645. Let v = u - -52. What is the closest to 0.1 in 1, q, v?
q
Let g = 68 + -46. Let j = -21.64 + g. Let v = 0.04 + j. Which is the nearest to 2? (a) v (b) -0.3 (c) 0.5
c
Let v = -4 + 4. Which is the closest to -0.1? (a) 5 (b) -4 (c) v
c
Suppose m + 1 = 0, 5*m = 5*y - 4*y. Let v = 85 + -83. Let i = -2/67 - -73/201. Which is the closest to v? (a) -0.1 (b) i (c) y
b
Let l = 52/45 + -14/9. Let k = -7/24 - -1/24. Which is the closest to l? (a) k (b) -1 (c) 0
a
Let l = 0.835 - 1.835. Which is the closest to l? (a) 3 (b) 4 (c) 2
c
Let l = -7 + 11. Let m = l - -1. Suppose -121*j + 4 - 4 = 12*j. Which is the nearest to 0.1? (a) j (b) m (c) -4
a
Let q = -77.815 + 0.615. Let o = -77 - q. What is the closest to -2/9 in 44, -2/15, o?
-2/15
Let r = -13889/9 - -1543. Which is the nearest to -0.1? (a) r (b) 4 (c) -4/7
a
Let h = 2008 + -1988. What is the nearest to 3/16 in -3, h, 0?
0
Let v = 375.831 - 373.6. Let s = v + -0.071. Let p = 0.16 - s. What is the nearest to -1 in p, 1, 0.5?
p
Let o be 13/(65/30)*-1. Let z be (o*6/(-45))/10. Which is the closest to 0.1? (a) z (b) -2/5 (c) 5
a
Let p = -6.93 + 9.93. Which is the closest to -0.1? (a) p (b) 3.3 (c) 4 (d) 0.1
d
Let m be 28/20*15/54. Let l = m - -1/9. Which is the nearest to 4? (a) 0 (b) l (c) -4
b
Let k = 365 - 365.1. What is the closest to k in 4, -1/2, -6?
-1/2
Let t = -535 - -1591/3. Let w = -5 - t. Suppose 2*i - 4*i = 0. Which is the nearest to w? (a) i (b) -1/3 (c) 2
b
Let s be 2/(-18)*(-279)/31. What is the nearest to s in -0.1, 2, 8/19, -2/7?
8/19
Let s = -260 + 260.5. Which is the nearest to -3/2? (a) s (b) 3/8 (c) -3
c
Let z = -113 + 117. Which is the closest to -1? (a) 7 (b) -0.3 (c) z
b
Suppose 3*d + w - 9 + 4 = 0, 2*w - 8 = -4*d. Let u be (20/(-8))/((-25)/15). Let x = u - d. What is the nearest to 0 in x, 5, -2?
x
Suppose 0 = -4*d + 3*d + 4. Suppose 0 = p - d*p - f - 7, -19 = 3*p + 4*f. Which is the nearest to 2? (a) p (b) 3 (c) -3
b
Let y = 1035 - 67273/65. What is the closest to y in 3, 1, 0.5?
0.5
Let q = 28 - 27.4. Let s = -61 - -61. What is the closest to 0.1 in -2/11, q, s?
s
Let i(w) = 5 + 17*w - w + w**2 - 2. Let v = 23 + -39. Let h be i(v). What is the closest to 0 in -4, h, 0.2?
0.2
Let y = -1090 + 1075. Which is the closest to 2? (a) y (b) 0.4 (c) -2/15 (d) 2/3
d
Let n = -494/7 - -71. Suppose m - 3 = 0, 3*v - 3*m - 88 = 5. Suppose -16*i + 36 = -v*i. Which is the nearest to 0? (a) i (b) n (c) 1/4
c
Suppose -8*q + 0*q = -48. Suppose q*n + 45 = -3*n. Suppose y = -2*f - 15 - 1, -5*y - 35 = f. Which is the nearest to 0.1? (a) y (b) n (c) -1/4
c
Let d = 0.12 + 0.08. What is the nearest to d in 0.1, 8, -1?
0.1
Let w = -197/174 + 28/29. What is the closest to 0.01 in -5, 5, w?
w
Let t = 1205/2772 + 3/308. Let j be -1 + 5 + (23 - 32). Let n = -4 + 7. Which is the nearest to n? (a) t (b) j (c) -1/5
a
Let v be (35/(-25))/(16/(-10)). Let j = 3/4 - v. Let u = -11.2 + 11. Which is the closest to 2? (a) j (b) u (c) 1/7
c
Let z = 8 - 4. Let n = 61.33 - 1.33. Let j = n - 62. What is the nearest to 0.1 in -4, j, z?
j
Let h be 2028/108 + -7 - 12. Let f = 1.7 + -2. What is the closest to f in -2, 0, h?
h
Let d = 0 + 0.06. Let q = -5.06 + d. Let n = -11/20 - -101/220. Which is the closest to 2/5? (a) q (b) n (c) 0.3
c
Let d = 0.028 + -0.011. Let j = -0.183 - d. Which is the closest to 8? (a) j (b) 3 (c) -3
b
Let w = -144/913 - 2/83. Let h = 28837/7 - 4111. Let o = h + -58/7. Which is the nearest to o? (a) -1/2 (b) w (c) -0.4
b
Let i = -1030 - -1032. What is the closest to -3 in 3/2, 12, i, 5?
3/2
Let k = -150 + 754/5. Let t = -0.057 - 32.443. Let z = t + 33. Which is the closest to 0.1? (a) z (b) -0.2 (c) k
b
Let v = -659 + 949. Let o = v - 1444/5. Let w = 0.1 + -0.2. Which is the closest to -1/2? (a) o (b) w (c) 2
b
Let x = -5.561 - -0.561. Which is the closest to x? (a) -9/7 (b) 0.5 (c) -5
c
Let u = 25/27 + 11/27. Which is the nearest to 2/7? (a) u (b) -2 (c) -3 (d) 2
a
Let w = 1116 + -1117. Which is the closest to w? (a) 11 (b) -5 (c) -1/5
c
Let g = -0.01 + -0.39. Let k = -1.0034 - -0.0034. Let j be (-1)/5 - (-104)/320. What is the nearest to k in j, g, -2/7?
g
Let r = -393/77 - -37/7. Which is the nearest to -0.2? (a) r (b) 4 (c) -6
a
Let x = -185 + 182.975. Let d = x - -0.025. Which is the closest to -0.3? (a) 1/4 (b) 5 (c) d
a
Let k(g) = -g**2 + 4*g - 4. Let q be k(0). Which is the nearest to -1/4? (a) -1/3 (b) -9 (c) q
a
Let d = 2013/5 + -403. Which is the nearest to -3? (a) -1/2 (b) d (c) -4
c
Let n = -3.3 - -1.8. Let g = 4 - 2. Let q = n + g. What is the nearest to 2 in -1, q, 2/5?
q
Let t = -697216/45 - -15493. Let x = 1/45 + t. Suppose 2*v + 5*y - 2 = 0, 0*v + y + 4 = 4*v. Which is the closest to -1/3? (a) v (b) 1/3 (c) x
c
Let d be -1*3 + -1 + 132/30. Let n be (0 + (-4)/(-21))*77/(-66). What is the closest to n in 0.1, -2, d?
0.1
Let z = -514 - -511. Which is the nearest to 0.03? (a) 3/7 (b) -2 (c) z
a
Let q = -283 - -565/2. Let l = -1.89 + 0.9. Le | {
"pile_set_name": "DM Mathematics"
} |
2 + a**2) + (2 - a**2 - 2)*(29 - 29 + 3*a))*(0*a - 2*a - 3*a).
-15*a**4
Expand (3 - 2*x - 3)*(-3 + 2 + 3) - 6*x - 12*x + 2*x - 3*x + 3*x + 2*x.
-18*x
Expand (2*o**2 - 5*o**2 + o**2)*(58 + 202*o + 69 - 127).
-404*o**3
Expand (-12149*x + 188*x**3 + 12149*x)*(2*x + 0*x + 4*x).
1128*x**4
Expand 3*o + 0*o - 2*o - o + 3*o + 0*o + (0 - 2 + 4)*(1 - 1 + o) - 5*o + 10*o + 0*o.
10*o
Expand (2*r - r - 3*r)*(3 - 5 - 1)*(-7*r + 5*r + 48*r**2 + 10*r**2).
348*r**3 - 12*r**2
Expand -5*d - d + 2*d + (-1 - 1 + 1)*(-6 - 9 + 0)*(-2*d + d - 2*d).
-49*d
Expand (1 - 1 - 1 + f - 3*f + 0*f + 4*f - f + 2*f + f + (-4*f + 0*f + 5*f)*(-2 + 5 - 2))*(0 - 5 + 2)*(0 - 2 - 3).
75*f - 15
Expand 25*t + 12*t - 275*t + (-3 + 0 + 5)*(1 - 2 + 0)*(-4 - 2 + 4)*(4*t - 1 + 1).
-222*t
Expand 2*x**4 + 13*x**2 - 13*x**2 - 7*x - 2 - x**4 + 2*x**4 + 0*x**4 + (3*x**2 - 2*x**2 + x**2)*(4*x**2 - 4*x**2 - x**2).
x**4 - 7*x - 2
Expand (3 + 0 - 1)*(-3*j + 18*j - 12*j)*(-2*j**3 - 4*j**3 - 5*j**3).
-66*j**4
Expand (39*x - 14*x**2 - 39*x)*(49*x + 3*x - 29*x).
-322*x**3
Expand (-5*t**2 + 4*t**2 + 3 - 3*t**2)*(-3*t + 3*t - t) + (-2*t + 2*t - t**3)*(-5 - 1 + 4).
6*t**3 - 3*t
Expand (i + 5*i - 4*i)*(-2*i - 2*i - 4*i).
-16*i**2
Expand 0*i**3 - i**3 + 2*i**3 + (-i**2 + 2*i**2 - 3*i**2)*(i - i + i) - 2*i**3 - 4*i**3 + 5*i**3 + (8*i**2 + 9*i**2 + 0*i**2)*(26 + 67 + 21)*(i + 0*i - 2*i).
-1940*i**3
Expand (l**3 + 2*l**3 - 13*l**4 + 2*l**2 - l**3)*(1 + 0 + 0)*(2*l + l - 4*l).
13*l**5 - 2*l**4 - 2*l**3
Expand (-28*x - 2*x**2 + 28*x)*(-2*x - 2*x + 5*x + (-1 + 0 + 0)*(-3*x - 2*x + 4*x) + x + 2 - 2 + x - 5*x - 3*x).
8*x**3
Expand (23 + 37 + 171)*(2 - 1 + 1)*(0 - 2*v**3 + 0) + 3*v**2 - 3*v**2 + v**3.
-923*v**3
Expand (3*d**4 - 2*d**4 - 3*d**4)*(-19 + 1357*d + 1349*d - 2708*d).
4*d**5 + 38*d**4
Expand (-139 - 167 + 27)*(-3 + 3 - 2*s**3 + s**3 + 2*s**3 - s**3 - 5*s**3 + 3*s**3 + 3*s**3 - s**3 - 5*s**2 + 5*s**2 + (-s + 1 - 1)*(-4*s**2 + s**2 + s**2)).
-558*s**3
Expand 9*v - 9*v - 5*v**5 + (2*v + v - 5*v)*(4*v**4 - 4*v**4 - 2*v**4) + 676*v**5 - 424*v**5 - 441*v**5.
-190*v**5
Expand (-1 + 0 - 114*s + 119*s)*(17*s**2 - 10*s**2 - 11*s**2).
-20*s**3 + 4*s**2
Expand (5*h - 2*h + 0*h)*(-1 + 0 - 1)*(201 + 33 - 6).
-1368*h
Expand (5*v**3 + 0 + 1 - v**3)*(-2 - v + 2)*(-8*v - 7 + 7).
32*v**5 + 8*v**2
Expand (18*d**3 - 815*d**2 + 815*d**2)*(-6*d**2 + 0*d**2 + 3*d**2) - 3*d**5 + 6*d**5 + d**5.
-50*d**5
Expand (-f + 2*f - 4*f**2 + 2*f**2)*(-181*f + 181*f + f**3).
-2*f**5 + f**4
Expand (0 + 0 - 2*r)*(2 + 0 + 6) + (1 - 2 - 6)*(-r - 3*r + 3*r).
-9*r
Expand (-44 - 46 - 112 - 111)*(3 - 3 + 2*i**3).
-626*i**3
Expand (-9029*x**3 - 10*x + 18049*x**3 - 9029*x**3)*(0 + 4 - 1).
-27*x**3 - 30*x
Expand (-38*c**2 + 146*c**2 + 28*c**2 + 60*c**2)*(-c - 1 + 1)*(5*c - 4*c - 2*c).
196*c**4
Expand -44*y**5 - 37*y**4 + 37*y**4 + (-2*y**2 - y**2 + 4*y**2)*(7*y**3 - 1 + 1) + 2*y**5 - y**4 + y**4.
-35*y**5
Expand (13 + 3 - 4 + (-2 + 0 + 5)*(1 - 2 + 2))*(3 + 1 - 5)*(-3 + 2 - 1)*(-3 + 0 + 5 - 2*w).
-60*w + 60
Expand (-5 + 1 - 5)*(-1 + 4 - 2)*(-7 + 7 - 2*o**2)*(3 - 1 + 0).
36*o**2
Expand (-3*k + 3*k - k**3)*(24 + 518 + 679 + 333).
-1554*k**3
Expand (-13*f - 117*f - 52*f)*(0 + 0 + f).
-182*f**2
Expand (160*t - 83*t - 25 - 80*t)*((1 - 1 - 2*t)*(1 + 1 - 4) + 3 - 3 - 2*t - t + 3*t - 3*t + 1).
-3*t**2 - 28*t - 25
Expand f - f**4 - f + 6*f**4 - 3*f**4 - 83*f**4 + (4 + 1 - 3)*(-f**4 - 2*f**2 + 2*f**2) + 7 + 4*f**4 - 7 - f**4 + 1 - 1 + f - 2*f**4 - f.
-82*f**4
Expand (6*x**4 + 6*x**4 - 36*x**4 + (3*x + x - 3*x)*(0 - 2*x**3 + 0) + 2*x**4 - 3*x**4 + 2*x**4 - 2*x**2 - 2*x**4 + 2*x**2)*(-3 + 2 - 1).
54*x**4
Expand (-725*c + 386*c + 195*c)*(-1 - 1 + c + 0)*(-2 + 2 + 2)*(-4 - 3 + 4).
864*c**2 - 1728*c
Expand (-5*f - 3*f + 6*f)*(-f - 2*f + 5*f)*(1639*f**2 - 780*f**2 - 1197*f**2).
1352*f**4
Expand z**5 + 0*z**5 - 2*z**5 + (-2 - 2*z**2 + 2)*(-53*z**3 + 111*z**3 + 27*z**3) + (3*z**2 - 6*z**2 + z**2)*(0*z + z**3 + 0*z) - 4*z**5 + 0*z**5 + 2*z**5.
-175*z**5
Expand (-5*v**2 + 3*v**2 + 0*v**2)*((1 + 0 + 2)*(-5 + 1 + 2) + 17 + 48 - 10).
-98*v**2
Expand (31921 + 5*j - 2*j**3 - 66*j - 31926)*(-j**2 + 6*j**2 - 3*j**2).
-4*j**5 - 122*j**3 - 10*j**2
Expand (w**2 - 3*w**2 + 0*w**2)*(-59*w**3 - 62*w**3 + 142*w**3).
-42*w**5
Expand ((35*q - 17*q + 10*q)*(1 + 1 - 4) - q - q + q)*(2*q + 0*q - q).
-57*q**2
Expand (-4 + 2 + 0)*(1 - 1 - w) - w - 2*w + w + w - 2*w + 0*w + (-2 + 3 + 1)*(-w + 0*w - 2*w).
-7*w
Expand (2*b + 4 - 4 + (0 + 1 + 1)*(2*b - 3 + 3) - 2 + 2 + b)*(-6 + 6 - 3).
-21*b
Expand -4*h**3 + h**3 + 2*h**3 + (4*h**2 - h**2 - h**2)*(0 + 0 + h) + 41*h**3 + 1166*h**3 - 2645*h**3.
-1437*h**3
Expand (-257*c + 41*c + 82*c)*(2 - 2 + 1).
-134*c
Expand 2*d + d - 5*d + (0 + 3 - 4)*(d + 2 - 2) + 0*d - 4*d + 3*d + 13*d - 188 - 36*d + 21*d + 0*d + 2*d - d.
-5*d - 188
Expand (3*a**2 - 3*a**2 + 5*a**3)*(a - a + a) - 13*a**4 - 15*a**4 + 4*a**4.
-19*a**4
Expand (-o + o + 2*o**2)*(72*o - 24*o + 55*o)*(2*o + 0*o - o).
206*o**4
Expand (-2*n + 2*n - 2*n)*(2*n + 0*n + 0*n) + 13 + 9*n**2 - 5*n**2 - 3*n**2 - 2*n + n**2 + 2*n**2 - 4*n**2 + (-n + 2*n - 3*n)*(n - 4*n + 4*n).
-6*n**2 - 2*n + 13
Expand -17*a + 7*a + 4*a + 51 + 11*a - 51 + (0 + 1 - 2)*(-3*a + 4*a + 0*a).
4*a
Expand (7*y**4 + 2261 - 2261)*(y + 3*y - 5*y) + 2*y**5 - 4*y**3 + 4*y**3.
-5*y**5
Expand j**2 + 5*j**2 - 4*j**2 + (-3*j + 4*j + 2*j)*(0 - 6 + 5)*(12*j - 4*j - 4*j).
-10*j**2
Expand (9*w**2 + 58 + 5*w**4 - 58)*(13*w - 2*w - 4*w).
35*w**5 + 63*w**3
Expand (-2*n + 2*n - 5*n - 5*n + 4*n - n + n + 0 + 0 + (0*n - 3*n + n)*(-4 + 4 + 2) - 4*n - 4*n + 6*n - 5 + n + 5)*(n - n + n)*(-3 + 1 + 3).
-11*n**2
Expand (-3 + 0 + 2)*(-5 - f + 5)*(29 + 31 - 116)*(1 - 1 + 1).
-56*f
Expand (1 + 8*q**2 + 3*q**2 - 5*q**2)*(-25 + 6*q + 25).
36*q**3 + 6*q
Expand ((1 - 2 + 0)*(-4 + 5 + 0) - 1 + 3 - 8)*(-3*s - s + 0*s).
28*s
Expand (31 - 31 + 11*x)*((2*x - 1 + 1)*(x - 2*x + 2*x) + x**2 - 9*x**2 + 0*x**2).
-66*x**3
Expand (2*o**2 - o + o)*(2*o**3 - 9*o**3 + o**3 + (-4*o + 2*o + 0*o)*(11*o**2 - 30 + 30)).
-56*o**5
Expand (-160*c**2 + 2*c + 9*c + 155*c**2 + 2)*(-5*c + 5*c + c**2).
-5*c**4 + 11*c**3 + 2*c**2
Expand p**4 - 2*p**3 + 2*p**3 + (1 - p**2 - 1)*(-p**2 - p**2 + p**2) + 53*p**4 + 52*p**4 - 36*p**4 + (-3*p - 2*p**4 + 3*p)*(1 - 1 - 1).
73*p**4
Expand (-2*k + 0*k - 3*k + 2*k)*(-31 - 154 + 43).
426*k
Expand (k + 2*k + 0*k)*(-377*k - 375*k + 776*k + 2*k**2).
6*k**3 + 72*k**2
Expand (-10*l - 7*l - 2*l)*(-23 + 7*l + 23).
-133*l**2
Expand (-1 + u**2 - 3*u**2 + 0)*(-130*u**3 - 409*u + 409*u).
260*u**5 + 130*u**3
Expand (5 - 3 + 1)*(-2*k + k - k)*(-4 + 2*k**2 + 4).
-12*k**3
Expand (-v**2 + 0*v + 0*v)*(5*v**2 + 0*v + 0*v) + (v**2 - 3*v**2 + 6*v**2)*(2*v**2 - 5*v**2 + 4*v**2).
-v**4
Expand (-5*g**3 - g**3 + 4*g**3)*(154*g + 104*g - 10*g + 156*g).
-808*g**4
Expand (p**2 + 3*p**2 - 2*p**2)*(-p + p - 2*p**3) + 35*p**5 - 76*p**5 - 38*p**5.
-83*p**5
Expand -b - 406*b**4 + b - 69*b**4 + (-2*b + 2*b - b)*(0*b**3 + 0*b**3 + 2*b**3).
-477*b**4
Expand (-1 + 1 + 2*w**2)*(-19*w - 7 - 4*w + 4).
-46*w**3 - 6*w**2
Expand -18*k - 3 + 3 - 13*k - 10*k + 4*k + (-4*k + 0*k + 3*k)*(2 - 3 + 3).
-39*k
Expand 7*w**2 - 24*w**3 + 8*w - 8*w**2 + 27*w**3 + (4*w**2 - 2*w**2 - w**2)*(3 - 3 - w) - w**3 - 2*w**2 + 2*w**2 + 0*w**3 - w**3 + 2*w**3.
2*w**3 - w**2 + 8*w
Expand (-1 - 3 + 1)*(-6 + 4 - 7)*(-5*h**2 + 5*h**2 + 6*h**2).
162*h**2
Expand (-97 + 37 + 32)*(3*i - 3*i - 3*i**5).
84*i**5
Expand (0*j - j + 0*j)*(-1 + 1 - j)*(-17*j - 37*j + 8*j).
-46*j**3
Expand (-9 + 5 - 2)*(0*t + t - 2*t)*(-32 - 147 + 74)*(2 + 1 - 4).
630*t
Expand -2*q**3 - q**3 + 2*q**3 + (293*q - 280*q + 11*q**2 - 4*q**2)*(q + 5*q - 5*q).
6*q**3 + 13*q**2
Expand (-2*w - 1 + 1)*(6*w - 350 - w + 375).
-10*w**2 - 50*w
Expand (-1 + 0 + 4)*(-2*w**2 + 2*w**2 + w**2) - 6*w + 2*w + w**2 - 2*w**2.
2*w**2 - 4*w
Expand (2*z**2 - z**2 + 3*z**2)*(2*z**2 - 2*z**2 + 2*z**2) - z**4 + 17*z**4 + 20*z**4 + 4*z**4 - z**4 + 0*z**4 + (2*z**4 + 0*z**2 + 0*z**2)*(-2 + 1 + 2).
49*z**4
Expand (-l + 6*l - 3*l)*(89*l**3 + 93*l**3 + 76*l**3).
516*l**4
Expand (-2*p**3 - 3*p**3 + 6*p**3)*(167 - 283 - 891 + 134 - 1069).
-1942*p**3
Expand (1 + 164*v + 1 - 167*v)*(-v + 5*v**3 + v).
-15*v**4 + 10*v**3
Expand (-4 + 4 - 2*b)*(6*b - 3*b - 2*b) + 0*b**2 - 2*b**2 + 3*b**2 - 2 + 2 - 2*b**2 + 193 + 2331*b**2 - 2329*b**2 + 0*b + 2*b.
-b**2 + 2*b + 193
Expand 2*n**3 - 6*n**3 + 2*n* | {
"pile_set_name": "DM Mathematics"
} |
- 7 + 7 + 198*d.
-64*d
Collect the terms in -3147 + 47*n + 3146 - 33*n.
14*n - 1
Collect the terms in -12*x**2 - 25*x**2 + 37*x**2 - 20*x**2.
-20*x**2
Collect the terms in 8806976 + g - 8806976 - g + 8*g**2.
8*g**2
Collect the terms in s - 115739 + 115739.
s
Collect the terms in 11085*g**3 - 2*g - 22167*g**3 + 11086*g**3.
4*g**3 - 2*g
Collect the terms in 0*c - 9*c + 9*c - 71*c.
-71*c
Collect the terms in -186*f**3 - 222*f**3 + 688*f**3 + 779*f**3.
1059*f**3
Collect the terms in -4*z - 6*z + 17*z - 22*z + 13*z.
-2*z
Collect the terms in -2*k**2 - 28188*k - 7*k**2 - 28183*k + 56371*k.
-9*k**2
Collect the terms in -373*p - 12*p**3 + 11*p**3 + 2*p**2 - 802*p.
-p**3 + 2*p**2 - 1175*p
Collect the terms in -74692*x - 74688*x + 224067*x - 74684*x.
3*x
Collect the terms in -97*u - 309*u - 104*u.
-510*u
Collect the terms in 3*m**2 + 23*m**3 - 10*m**2 + 35*m**3 - 6*m**2.
58*m**3 - 13*m**2
Collect the terms in 21*j**3 - 88*j**3 + 82 + 2*j - 149 + 67.
-67*j**3 + 2*j
Collect the terms in 2834*i + 2826*i - 6*i**3 - 5660*i.
-6*i**3
Collect the terms in 41*n - 15*n**2 + 6*n**2 + 4*n**2.
-5*n**2 + 41*n
Collect the terms in -26*t**3 + 617*t - 1238*t + 621*t + 20*t**3.
-6*t**3
Collect the terms in 23*s**2 - 188*s**2 + 117*s**2 + 33*s**2.
-15*s**2
Collect the terms in 1 - 1 - 15*c - 87*c + 139*c - 19*c.
18*c
Collect the terms in 43*d**3 + 20*d**3 + 20*d**3.
83*d**3
Collect the terms in -3924*h - 8*h**3 - 3830*h + 7754*h - 1.
-8*h**3 - 1
Collect the terms in -108*r + 46*r + 55*r + 12*r.
5*r
Collect the terms in -1074 - 11*b**2 - 1042 + 2116.
-11*b**2
Collect the terms in j + 25590 - 3*j - 51241 + 25651.
-2*j
Collect the terms in -5255*x**3 + 2542*x**3 + 2708*x**3.
-5*x**3
Collect the terms in -13567*x - 4 + 4 + 2082*x.
-11485*x
Collect the terms in -1098*k**2 + 2195*k**2 - 3267*k**3 - 1097*k**2.
-3267*k**3
Collect the terms in -346*y + 146*y + 201*y.
y
Collect the terms in -59*v - 64*v - 15*v - 40*v.
-178*v
Collect the terms in -17 + 53*p - 9 - 25*p + 26*p.
54*p - 26
Collect the terms in 18791*h**3 + 1 - 18808*h**3 - 1.
-17*h**3
Collect the terms in 75*k - 256*k + 109*k + 104*k.
32*k
Collect the terms in 5 - 355*m**3 - 2 - 3 + 359*m**3.
4*m**3
Collect the terms in 1 + 177908*d + 177904*d - 355813*d - 1.
-d
Collect the terms in 30*j**2 + 46*j**2 + 31*j**2 + 37*j**2 + 46*j**2 - 155*j**2.
35*j**2
Collect the terms in 99*y**3 + 89*y**3 - 46*y**3 + 66*y**3.
208*y**3
Collect the terms in -208*q + 16*q - 262*q + 12*q + 2*q**2.
2*q**2 - 442*q
Collect the terms in 44*n**3 - 312*n + 153*n + 159*n.
44*n**3
Collect the terms in 74426*w - 2*w**2 - 74426*w + 41.
-2*w**2 + 41
Collect the terms in 1 + 7965654*f**2 - 7965538*f**2 - 1.
116*f**2
Collect the terms in -210*p**2 + 963*p**2 - 173*p**2 + 1270*p**2.
1850*p**2
Collect the terms in -9742*g - 9747*g + 19489*g + 3*g**3.
3*g**3
Collect the terms in 33*k**3 + 18*k**3 - 46*k**3 + 4*k**2.
5*k**3 + 4*k**2
Collect the terms in -130*r + 21*r + 239*r.
130*r
Collect the terms in 2 - 1508*p**2 + 1508*p**2 + 26*p**3.
26*p**3 + 2
Collect the terms in 7 + a**2 - 3 + a**2 + 4*a**2 - 26.
6*a**2 - 22
Collect the terms in 21 + 16 - 40 - o**2.
-o**2 - 3
Collect the terms in 53*w**2 + 49*w**2 + 92*w**2 + 45*w**2 + 45*w**2 - 280*w**2.
4*w**2
Collect the terms in -429*j - 437*j + 875*j.
9*j
Collect the terms in 3976*n**3 - 2079*n**3 - 2134*n**3.
-237*n**3
Collect the terms in 282 - y + 19 - 35 + 3*y**2 + 24.
3*y**2 - y + 290
Collect the terms in 5192 + 5185 - 24*o**3 - 10375.
-24*o**3 + 2
Collect the terms in 66*g + 6 - 264*g + 17.
-198*g + 23
Collect the terms in 3*d**2 - 4193 + 2097 + 8*d**2 + 2096.
11*d**2
Collect the terms in -50 + 8*u**2 - 59 + 165 - 56.
8*u**2
Collect the terms in 18*f**2 - 37*f**2 + 87*f**2.
68*f**2
Collect the terms in -287*p**3 - 28*p**3 + 313*p**3.
-2*p**3
Collect the terms in 5*t**2 - 2*t**2 - 12*t**2 - 7*t**2 + 2*t**2.
-14*t**2
Collect the terms in -492 + 492 - 57*r.
-57*r
Collect the terms in -17 - 527*s**2 + 3*s**3 + 17 + 2086*s**2.
3*s**3 + 1559*s**2
Collect the terms in 124*q**2 - 259*q**2 - 105*q**3 + 135*q**2.
-105*q**3
Collect the terms in -14*g**2 - 24*g**2 - 28*g**2 - 21*g**2.
-87*g**2
Collect the terms in -150 + 873*q - 291*q - 287*q - 294*q.
q - 150
Collect the terms in 4 - 4 + 3 + 92*g + 0.
92*g + 3
Collect the terms in -2 + 2 + 434*j**3 + 477*j**3 + 0 - 918*j**3.
-7*j**3
Collect the terms in 2 + 2*a**3 - 2 + 169*a - 344*a + 175*a.
2*a**3
Collect the terms in 58615*b**3 + 58620*b**3 - 117248*b**3.
-13*b**3
Collect the terms in 3*s**2 - 10 - 10*s**2 - 3 + 13.
-7*s**2
Collect the terms in -7338548*b + 7338550*b + 5 - 5.
2*b
Collect the terms in 311*x**3 + 26597*x**2 + 1 - 26597*x**2.
311*x**3 + 1
Collect the terms in 7 - 5*p**2 - 5*p**2 - 36*p + 11*p**2 - 82*p.
p**2 - 118*p + 7
Collect the terms in l**3 - 9*l**3 - 2 + 4*l**3 + 75*l**2 + l**3.
-3*l**3 + 75*l**2 - 2
Collect the terms in 29*p - 318 + 163 + 158.
29*p + 3
Collect the terms in 501*o**2 + 1437*o + 52*o**2 - 1437*o.
553*o**2
Collect the terms in -3*x + 16*x - 818 + 816 - 2*x + 2*x.
13*x - 2
Collect the terms in 44*j**3 - 198*j**3 + 47*j**3 + 51*j**3 + 50*j**3.
-6*j**3
Collect the terms in 716 + 181*i**2 - 716.
181*i**2
Collect the terms in -4655*r**3 + 3*r - 5*r - 4185*r**3 - 121*r**3.
-8961*r**3 - 2*r
Collect the terms in -125*u**2 - 456*u**2 + 8*u - 12*u - 27*u.
-581*u**2 - 31*u
Collect the terms in 304*b - 61*b - 82*b - 9 - 79*b - 80*b.
2*b - 9
Collect the terms in 5*r**2 - 18 + 4*r**2 - 11*r**2.
-2*r**2 - 18
Collect the terms in -21*v + 2*v + 22 + 10*v - 22 - 3*v.
-12*v
Collect the terms in 486*p - 962*p + 481*p - 5 + 5.
5*p
Collect the terms in 0 + 34*b**2 - 16*b**2 - 55*b**2 + 0 + 41*b**2.
4*b**2
Collect the terms in 26*x - x - 8*x - 9*x - 6*x.
2*x
Collect the terms in 8*g**3 + 15204 - 7592 - 7612.
8*g**3
Collect the terms in 6*g - 13*g + 5*g + 2*g**2 - 22*g - 17*g.
2*g**2 - 41*g
Collect the terms in -2 + 211*u**3 + 2 - 2633*u**2 + 2629*u**2 - 74*u**3.
137*u**3 - 4*u**2
Collect the terms in -6 + 12068*r**3 + 6.
12068*r**3
Collect the terms in 271*x**2 + 127*x**2 + 63*x**2 - 461*x**2 + x**3.
x**3
Collect the terms in -10 + 13*y**3 + 0*y**2 - 2*y**2 + 2*y**2 - 11*y**3.
2*y**3 - 10
Collect the terms in -13 - 7731*z + 13.
-7731*z
Collect the terms in -218704 + t - 218710 + 0*t + 656119 - 218705.
t
Collect the terms in 43952740 - 43952740 + 17*s**2.
17*s**2
Collect the terms in 2390*v - 1222*v - 1170*v.
-2*v
Collect the terms in -1852*i**3 - 1829*i**3 - 1831*i**3 + 5495*i**3.
-17*i**3
Collect the terms in -19*w**2 + w**2 + 9*w**2 + w.
-9*w**2 + w
Collect the terms in 936*b - 44*b**2 + 2 - 936*b.
-44*b**2 + 2
Collect the terms in 133358*x**3 - 266716*x**3 + 133354*x**3.
-4*x**3
Collect the terms in 51*g**3 - 14*g**3 - 58*g**3.
-21*g**3
Collect the terms in -261*z - 4 - 7 + 83*z + 5.
-178*z - 6
Collect the terms in 14 - 2*o + 5 + 7 - 3.
-2*o + 23
Collect the terms in -111*x**2 - 240*x**2 + 360*x**2.
9*x**2
Collect the terms in 113*k**2 + 2*k - 2*k - 194*k**2 + 145*k**2.
64*k**2
Collect the terms in 4*n**3 + 167 - 167 - 83*n**2 - 8*n**2.
4*n**3 - 91*n**2
Collect the terms in 37 - 95*c**3 + 15 + 259*c**3 - 52.
164*c**3
Collect the terms in 17*m + 10*m + 20*m + 22*m - 66*m.
3*m
Collect the terms in 21*v**2 + 10*v**2 - 6*v**2 - 12*v**2.
13*v**2
Collect the terms in -5 + 28*g + 5 - 302*g.
-274*g
Collect the terms in -28 + 96*l - 28 - 33 + 89.
96*l
Collect the terms in -94*h - 55*h - 101*h + 78*h.
-172*h
Collect the terms in -1603*y**3 + 797*y**3 + 802*y**3.
-4*y**3
Collect the terms in -250*n**2 - n + 500*n**2 - 247*n**2 + n.
3*n**2
Collect the terms in -1 - 2 - 27490*n + 27476*n.
-14*n - 3
Collect the terms in -39*m**2 - 3*m**2 + 22*m**2 - 12*m**2.
-32*m**2
Collect the terms in -3*l**2 + l**2 + 3*l**2 + 8*l**2 - l**2 - 10*l**2.
-2*l**2
Collect the terms in -2 - 935*g - 2 + 12 - 9.
-935*g - 1
Collect the terms in 897*f + 0 + 1017*f + 38*f + 2.
1952*f + 2
Collect the terms in -15 + 2*q + 2*q + 2*q - 5*q.
q - 15
Collect the terms in -3*w**2 - 5*w - 5*w**2 - 2*w**2 - 34 + 34.
-10*w**2 - 5*w
Collect the terms in 687*t**2 - 4*t - 677*t**2 - 2*t.
10*t**2 - 6*t
Collect the terms in 4*y + 3*y - 7*y + 3 - 397*y**2 + 406*y**2.
9*y**2 + 3
Collect the terms in 1595*f + 7230*f - 1433*f.
7392*f
Collect the terms in 75*s - 40*s + 362*s.
397*s
Collect the terms in - | {
"pile_set_name": "DM Mathematics"
} |
y) = 28*y**2 - 4*y - 437. Give -6*d(t) + 13*r(t).
t**2 - 2*t - 225
Let h(a) = 10*a**3 + 11*a**2 - 8. Suppose 72 = 8*m + 8. Let v(l) = -3*l**3 - 4*l**2 + 3. Calculate m*v(c) + 3*h(c).
6*c**3 + c**2
Let a(j) = 5*j**2 - 4*j - 1. Let v(s) = 15*s**2 - 11*s - 3. Determine -8*a(p) + 3*v(p).
5*p**2 - p - 1
Let m(q) = -579*q - 2. Let n(d) = -4*d + 1. Give -m(c) - 4*n(c).
595*c - 2
Let j(h) = 3*h - 5. Let b(d) = -3*d + 4. Suppose -14*w + 16*w - 6 = 3*s, w = -3. Determine s*b(x) - 3*j(x).
3*x - 1
Let c(t) = 11*t**3 + 3*t**2 + t + 6. Let a(s) = 5*s**3 + s**2 + s + 3. Give 7*a(h) - 3*c(h).
2*h**3 - 2*h**2 + 4*h + 3
Let h(r) = 2*r - 1. Let k(v) = -7*v + 42. Give 5*h(a) + k(a).
3*a + 37
Let b(h) = -4*h - 4. Let u(a) be the first derivative of -3*a**2/2 - 3*a + 1. What is -5*b(m) + 7*u(m)?
-m - 1
Let c(d) = 2*d**2 - 394*d + 7. Let g(k) = -k**2 + 262*k - 5. Determine -5*c(y) - 7*g(y).
-3*y**2 + 136*y
Let f be 212/28 - 3/(-7). Suppose -z = -21 + f. Let c(g) = -g - z + 19 - 6. Let h(x) = 6*x - 1. What is 4*c(v) + h(v)?
2*v - 1
Let g(k) = 14*k. Suppose -5*t + 24 = -1. Let x(j) = j. What is t*x(m) - g(m)?
-9*m
Let p(c) be the first derivative of 2*c**2 - 3*c + 1. Let q(g) = 8889 - 3*g - 8887 + 0*g. What is -4*p(t) - 5*q(t)?
-t + 2
Let t(i) = -41*i**2 + 84*i. Let p be t(2). Let q(o) = -o**3 - o**2. Let k(n) = -2*n**3 - 4*n**2 - 2*n. Calculate p*q(m) - k(m).
-2*m**3 + 2*m
Let r(n) = 5*n**2 + 2*n + 5. Let b(l) be the second derivative of 4*l**4/3 + l**3 + 8*l**2 + 2*l. Give -3*b(g) + 10*r(g).
2*g**2 + 2*g + 2
Let i(l) = -2*l - 6. Let z(p) = -2*p - 10. Let m be z(-3). Let b = 10 - m. Let w(c) = 28 - b - 15. Calculate -i(o) + 6*w(o).
2*o
Let i(x) be the third derivative of -5*x**4/6 - 10*x**3/3 - 7*x**2 - 10*x. Let o(m) = -5*m + 2. Let p be o(-3). Let c(a) = -7*a - 7. Give p*c(d) - 6*i(d).
d + 1
Let q(j) = -31*j**3 - 7*j**2 + 6*j - 10. Let r(k) = 31*k**3 + 6*k**2 - 5*k + 9. Determine 6*q(f) + 7*r(f).
31*f**3 + f + 3
Let q(z) = 333*z**3 + 74*z**2 - 74*z. Let w(t) = -t**3 - t**2 + t. Calculate -q(a) - 74*w(a).
-259*a**3
Let z(g) = -29*g**3 + 9*g**2 - g + 6. Let o(a) = -15*a**3 + 4*a**2 - a + 3. What is 9*o(q) - 4*z(q)?
-19*q**3 - 5*q + 3
Let a be 3 - 8*(2 + 25/(-10)). Let l(r) = -9*r - 14. Let d(m) = 8*m + 13. Give a*d(j) + 6*l(j).
2*j + 7
Let h(r) = -124*r + 8. Let n(j) = 122*j - 7. What is -6*h(w) - 7*n(w)?
-110*w + 1
Let s(t) = 119*t. Let m(x) = -5415*x. What is 5*m(v) + 228*s(v)?
57*v
Let r(m) = m**2 + 6*m - 6. Let w(l) = -l + 1. Let h be (5/(125/(-30)))/(3/(-15)). Give h*w(c) + r(c).
c**2
Let v(a) = 10*a**2 - 3*a - 2. Let n(d) = 21*d**2 - 5*d - 5. Give -3*n(j) + 5*v(j).
-13*j**2 + 5
Let y(b) = 5*b - 25. Let z be y(12). Let s(n) = -50*n. Let r(j) = 3*j. What is z*r(a) + 2*s(a)?
5*a
Suppose 3*o = 5*a - 10 - 2, -4*o - 16 = -2*a. Let k(p) = 3*p**2 + 2*p. Let s(b) = 12*b**2 - 28*b**2 + 17*b**2. Suppose 0*i = 3*i - 3. What is i*k(q) + o*s(q)?
-q**2 + 2*q
Let t(o) = 2*o**3 - 2*o - 2. Let i(q) = -2*q**2 - 15*q + q**3 + 9*q + 4*q. Let b(k) = k**3 - k**2 - k. Let g(w) = -2*b(w) + i(w). What is -3*g(l) - t(l)?
l**3 + 2*l + 2
Let p(q) = -32*q**3 - 14*q**2 - 5*q + 10. Let s(z) = -64*z**3 - 25*z**2 - 9*z + 19. Calculate 9*p(w) - 5*s(w).
32*w**3 - w**2 - 5
Let s(h) be the second derivative of -5*h**3/6 + 5*h**2/2 + 452*h. Let d(g) = 2*g - 1 - 1 + 0. Give 14*d(a) + 6*s(a).
-2*a + 2
Let p(r) = -4*r**3 + 44*r**2 + 3*r + 1. Let w(q) = -9*q**3 + 87*q**2 + 7*q + 2. Determine 7*p(u) - 3*w(u).
-u**3 + 47*u**2 + 1
Let c(u) = 14*u**2 + 3*u + 2. Let s(g) = 13*g**2 + 2*g + 2. What is -2*c(j) + 3*s(j)?
11*j**2 + 2
Let u(m) = -6*m**3 + 4*m**2 + 3*m + 2. Let w(f) = -f**2 - 1. Determine u(b) + 2*w(b).
-6*b**3 + 2*b**2 + 3*b
Let s(d) = -d**2. Let t(j) = -7*j**2 + j - 2. Let v be (0 - 3/(-9))*1098/(-61). What is v*s(k) + t(k)?
-k**2 + k - 2
Let l(b) = 5*b. Let t(z) be the second derivative of -8*z**3/3 + z. Let r be 1/((-4)/(-60)*5). Let f be 2/(r/3)*5. What is f*l(v) + 3*t(v)?
2*v
Suppose -4*j + j + 4*z = -33, -j = -3*z - 16. Let t(d) = -7*d**2 + 9*d - 2 - j - d**2. Let h(y) = -2*y**2 + 2*y - 2. Give 9*h(o) - 2*t(o).
-2*o**2
Let r = 4 + 0. Let w(h) = h**3 + 5. Let s(k) = k**3 + 4. Let l = 151 - 147. Suppose 9 = -l*i - 2*q - 7, 3*i + q = -13. Determine i*s(x) + r*w(x).
-x**3
Let z(n) = -6*n - 9. Let b be (-6 - (-3 - -2)) + -2. Suppose -10*s + 77 - 127 = 0. Let c(v) = 9*v + 13. Give b*z(w) + s*c(w).
-3*w - 2
Let x(t) = 7*t + 15. Let l(h) = 4*h + 8. Let s(z) = -5*l(z) + 3*x(z). Let j(a) = -a - 3. Let u(o) = -3*o - 12. Let w(b) = 2*j(b) - u(b). Give 4*s(p) - 3*w(p).
p + 2
Let s(g) = -20*g**2 + 11*g - 19. Let p(v) = 2*v - 5. Determine 6*p(q) - s(q).
20*q**2 + q - 11
Let l(i) = 11*i + 4. Let m(n) = 9*n + 4. Determine 5*l(z) - 6*m(z).
z - 4
Let h(v) = -20*v**2 + v + 2. Let i(c) = -14*c**2 + 2. What is 3*h(j) - 4*i(j)?
-4*j**2 + 3*j - 2
Let a(b) = 23*b**3 - 2*b - 5. Let p(s) = -s**3 + s + 1. What is a(j) + 2*p(j)?
21*j**3 - 3
Let s(z) = -17*z**2 + 2*z - 4. Let t(j) = 19*j**2 - 2*j + 3. What is -4*s(r) - 5*t(r)?
-27*r**2 + 2*r + 1
Let u(z) be the second derivative of 0*z**2 + 0 + 8*z + 1/2*z**3. Suppose 5*x = 18 - 3. Let s(l) = -7*l. Give x*s(d) + 6*u(d).
-3*d
Let r(n) = -3*n + 3. Let q(i) = 0 - 7*i - 14 + 8 + 11. Determine 2*q(s) - 5*r(s).
s - 5
Let t(c) = -5*c**2 + 6*c. Let d(w) = 3*w**2 - w + 1. Let r(f) = -22*f**2 + 11*f - 6. Let k(s) = -6*d(s) - r(s). Suppose -2*n + n + 6 = 0. Give n*k(h) + 5*t(h).
-h**2
Let b(o) = o**3 - o. Let f(g) = -g**2 - 2*g + 1. Let i = 4 + -18. Let m(y) = -y**3 - 15*y**2 - 15*y - 12. Let k be m(i). Give k*b(r) - f(r).
2*r**3 + r**2 - 1
Let g(x) = -5*x + 13. Let a(c) = -3*c + 6. Let u = -192 + 179. Calculate u*a(m) + 6*g(m).
9*m
Let v(f) = 20*f + 44. Let a(z) = -4*z - 9. Determine -24*a(b) - 5*v(b).
-4*b - 4
Let n(h) = 8*h**3 - 4*h**2 - 11*h - 4. Let i(g) = -17*g**3 + 9*g**2 + 20*g + 9. Determine -4*i(v) - 9*n(v).
-4*v**3 + 19*v
Let n(p) = 2*p**3 - 10. Let u(r) = 1. Let d(w) = -4*w**3 + w**2 + 11*w + 9. Let o be d(-1). Give o*n(i) + 30*u(i).
6*i**3
Let d(v) = 1. Let a(t) = -3*t + 1. Let m(o) = o**2 - 27*o - 323. Let c be m(36). Give c*d(u) - a(u).
3*u
Let g(c) = 10*c**3 + 8*c**2 + 8*c. Let n(l) be the second derivative of l**5/20 + l**4/12 + l**3/6 + 5*l - 5. What is -3*g(p) + 24*n(p)?
-6*p**3
Let n(i) = -4*i - 41. Let r(j) = -j - 3. What is -n(x) + 5*r(x)?
-x + 26
Let k(i) = -i - 14. Let m(l) = -l**2 + l + 16. Determine -7*k(x) - 6*m(x).
6*x**2 + x + 2
Let m(d) = -49*d + 1. Let v(j) = 146*j - 3. Calculate -7*m(t) - 2*v(t).
51*t - 1
Let o(v) = -60*v**3 - 3*v**2 - 3*v. Let a(n) = -20*n**3 - n**2 - n. Calculate 8*a(y) - 3*o(y).
20*y**3 + y**2 + y
Let x(v) = -3*v - 3. Let n(y) = -52*y - 19 + 4 - 62*y + 99*y. Give -4*n(l) + 21*x(l).
-3*l - 3
Let h(a) be the third derivative of -a**5/30 - a**4/12 - a**3/2 - 3*a**2 - 11. Let c(d) = -10*d**2 - 11*d - 16. Calculate 2*c(q) - 11*h(q).
2*q**2 + 1
Let q(r) = 2*r - 1. Let o(a) = -4. What is 2*o(l) - 10*q(l)?
-20*l + 2
Suppose 2*z - 281 + 283 = 0. Let j(o) = 4*o**3 - 3*o**2 + 3*o + 3. Let i(a) = -a**3 + a**2 - a - 1. Determine z*j(g) - 3*i(g).
-g**3
Let k = -1929 - -1923. Let i(f) = -1. Let b(m) = 2*m + 5. Give k*i(r) - 2*b(r).
-4*r - 4
Let s(q) = q + 6. Suppose -4*f = -14 + 22. Let w(k) = -3*k - 18. Calculate f*w(i) - 7*s(i).
-i - 6
Let h(c) = 4*c**2 + 5*c + 9. Let r(d) = -5*d**2 - 4*d - 10. Let y(v) = -v. Let s(u) = r(u) + 2*y(u). Determine 6*h(q) + 5*s(q).
-q**2 + 4
Let c(a) = -18*a**3 + 3*a**2 + 2*a - 1. Let u(r) = 55*r**3 - 8*r**2 - 6*r + 2. Calculate 8*c(j) + 3*u(j).
21*j**3 - 2*j - 2
Let x(b) = 5 - 5 - 10*b**2 + 2*b + 6*b + 29*b**2. Let d(v) = 6*v**2 + 3*v. Give 8*d(h) - 3*x(h).
-9*h**2
Let z(t) = 4*t - 1. Let r(g) be the second derivative of 2*g**3/3 - g**2 - g + 74. Give 2*r(q) - 3*z(q).
-4*q - 1
Suppose 3*j - 2 = 4. Let b(t) = t. Suppose 61 + 49 = 11*o. Let c(w) = 3 - 1 - 23*w + 10*w + o*w. Calculate j*b(z) + c(z).
-z + 2
Let k(b) = 0 - b**3 + 3 - 2. Let m(r) = -4*r**3 - r + 7. Suppose -18 = -18*z + 15*z. Give z*k(l) - m(l).
-2*l**3 + l - 1
Let n(o) = -4*o - 4. Let l be ((-2)/3)/(8/12). Suppose 24 = 5*d - s, 4*s + 24 = -2*d + 4*d. Let a(p) = -d + 1 + 3*p - 2*p + 4. Give l*n(b) - 5*a(b).
-b - 1
Let s(w) = 5*w**2 - 4*w - 7. Let g(v) = -4*v**2 + 5*v + 5. Calculate 3*g(h) + 2*s(h).
-2*h**2 + 7*h + 1
Let c(d) = -4*d - 10. Let k(n) | {
"pile_set_name": "DM Mathematics"
} |
*i. Calculate n(m(x)).
14*x**2
Let o(u) = -u + 2. Let a(f) = 2*f - 2 - 4*f + 7. Let b(j) = -2*a(j) + 5*o(j). Let n(m) = -2*m. What is b(n(v))?
2*v
Let p(b) = -2*b. Let s(z) = -5*z. Let o(v) = -7*p(v) + 3*s(v). Let r(t) = -3*t + 3 - 3. Determine o(r(g)).
3*g
Let b(k) be the third derivative of 0*k + 0*k**3 - 4*k**2 - 1/24*k**4 + 0. Let h(v) = -2*v. Determine b(h(m)).
2*m
Let b(n) = -n. Let j(g) = -7*g**2 + 4. Let u(i) = -8*i**2 + 5. Let w(o) = 5*j(o) - 4*u(o). Calculate w(b(f)).
-3*f**2
Let k(o) = -o**2. Let s = 12/11 - 14/33. Let z(d) be the first derivative of 0*d + s*d**3 + 0*d**2 + 1. Determine k(z(m)).
-4*m**4
Let y(v) = v. Let r(i) = -7*i. Let c(j) = 2*r(j) + 18*y(j). Let x(p) = -p**2 + p + 1. Let z(g) = -2*g**2 + 3*g + 3. Let o(u) = 3*x(u) - z(u). Give o(c(h)).
-16*h**2
Let a(c) = -5*c. Let v(o) be the third derivative of 0 + 0*o**3 + 1/20*o**5 + 0*o - 2*o**2 + 0*o**4. Calculate a(v(d)).
-15*d**2
Let p(l) = -21*l. Let v(k) = -k. What is v(p(a))?
21*a
Let l(v) = -8 + 9 - v**2 + 2*v**2 + 28*v**2. Let q(m) = -2*m**2. What is q(l(h))?
-1682*h**4 - 116*h**2 - 2
Let u(g) = -g. Let p(x) = -4*x. Let s(l) = -p(l) + 5*u(l). Let v(t) be the first derivative of -t**2 + 5. What is v(s(d))?
2*d
Let t(n) = 2*n. Let g(h) = 2*h + 8*h**2 - 9*h + 7*h. Give t(g(o)).
16*o**2
Let l(x) = x + 2028. Let t(b) = b. Give t(l(n)).
n + 2028
Let o(d) = 129*d**2. Let n(p) = -5*p. What is n(o(r))?
-645*r**2
Let n(v) = 734*v**2. Let y(s) = 2*s. Determine n(y(l)).
2936*l**2
Let n(g) = g**2. Let d(b) = 21*b + 18. Let h(x) = -x - 1. Let c(z) = d(z) + 18*h(z). Determine n(c(q)).
9*q**2
Let f(x) be the second derivative of -x**4/6 - x. Let u be (-1)/((-1)/11) + 0. Let r(c) = -c - 11 + u. Give r(f(q)).
2*q**2
Let l(y) be the second derivative of -y**4/6 + y. Let f(u) = 5*u**2 - u**2 + 3*u**2. What is l(f(d))?
-98*d**4
Let s(m) = 3928*m + 2. Let x(o) = -4*o. Give x(s(f)).
-15712*f - 8
Let w(u) = 3*u**2. Let c(s) = 2*s**2. Let j(v) = 7*c(v) - 5*w(v). Let m(l) = 4*l. What is m(j(k))?
-4*k**2
Let o(c) = c - 1. Let v(n) = 1. Let d(m) = 6*o(m) + 6*v(m). Let q(r) = 3608 + 2*r - 3608. Determine q(d(h)).
12*h
Let i be (35/(-10))/((-2)/(-4)). Let z(u) = 2*u - 3. Let f(v) = -4*v + 7. Let q(g) = i*z(g) - 3*f(g). Let h(l) = 3*l + l - 5*l. Determine q(h(p)).
2*p
Let l(v) be the second derivative of -v**3/3 - 14*v. Let k(a) be the first derivative of a**2/2 - 1. What is k(l(q))?
-2*q
Let j(w) = -236*w. Let r(n) = -19*n**2. What is j(r(l))?
4484*l**2
Let s(y) = 3*y. Let f(q) = -3327*q**2. Give f(s(j)).
-29943*j**2
Let m(z) = -3*z. Let f(t) be the first derivative of -t**3/3 + 7. Give m(f(r)).
3*r**2
Let s(n) = -2*n**2 - n**2 + 8*n**2. Let g = -7 - -12. Let a(m) = -3*m + 4. Let u(p) = -4*p + 5. Let y(t) = g*a(t) - 4*u(t). Determine s(y(x)).
5*x**2
Let a(r) = r. Let i(p) = 6*p + 5*p - 2*p + 0*p. What is a(i(c))?
9*c
Let d(z) = 2*z. Let v(b) = 4*b + 8. Let x(y) = 3*y + 5. Let c(p) = -5*v(p) + 8*x(p). Determine d(c(g)).
8*g
Let p(c) be the second derivative of c**4/12 - 3*c**2/2 + 3*c. Let r(i) = 4. Let z(w) = -4*p(w) - 3*r(w). Let m(j) = -2*j. Determine z(m(a)).
-16*a**2
Let m(u) = -2*u. Let o(r) = 537*r**2. Determine o(m(v)).
2148*v**2
Let q(g) = -2*g. Let m = 209 + -209. Let s(h) be the second derivative of -1/6*h**3 + m*h**2 - 2*h + 0. Calculate s(q(o)).
2*o
Let s(z) = -24*z**2. Let n(a) = -3*a**2 - 5*a. Let l(i) = -5*i**2 - 8*i. Let r(b) = 5*l(b) - 8*n(b). Give s(r(m)).
-24*m**4
Suppose 3*h + 4 = 10. Suppose 0 = -y + v + h, -3*y = -0*y + 5*v + 10. Let c(m) = -m + 0*m + y*m. Let g(i) = 2*i. Calculate g(c(k)).
-2*k
Let h(p) = 9*p + 3*p + 4*p - p. Let f(l) = -l**2. Determine h(f(t)).
-15*t**2
Let s(m) = 3*m. Let b(x) = x. Let z(f) = -15*b(f) + 6*s(f). Let v(q) = -2*q**2. Determine v(z(u)).
-18*u**2
Let m(y) = 2*y**2. Let i(b) = 2691*b**2. Give m(i(t)).
14482962*t**4
Let q(x) = 39*x. Let m(v) = -2*v**2. Give q(m(l)).
-78*l**2
Let u(b) = -b. Let c(h) = -2*h**2 - 17*h. Determine u(c(x)).
2*x**2 + 17*x
Let s(q) be the first derivative of 0*q - 1/2*q**2 + 0*q**3 - 1/24*q**4 - 1. Let d(g) be the second derivative of s(g). Let l(n) = -4*n**2. What is l(d(a))?
-4*a**2
Let i(o) = 2*o**2. Let v(x) be the first derivative of x**3 - 1. Give i(v(u)).
18*u**4
Let n(j) = -4647*j. Let q(y) = 4*y. Calculate n(q(u)).
-18588*u
Let x(q) = -404*q. Let m(o) = -o**2. What is m(x(a))?
-163216*a**2
Let w(f) be the first derivative of 10*f**3/3 + 7*f + 1. Let k(m) = 3*m**2 + 2. Let n(g) = 7*k(g) - 2*w(g). Let d(o) = -o. Determine d(n(u)).
-u**2
Let t be 6/10 - (-160)/25. Let b(v) = t + 9*v - 7. Let s(m) = 4*m + m**2 - 2*m - 2*m. Give b(s(f)).
9*f**2
Let c(w) = 4*w - 9*w + 3 + 0. Let n(y) = -36*y + 22. Let z(v) = 44*c(v) - 6*n(v). Let j(i) = i. Determine j(z(d)).
-4*d
Let l(b) = -b + 1. Let h(z) = 3*z - 1. Let c(m) = h(m) + l(m). Let q(p) = -p**2 + 30 - 30. Calculate q(c(f)).
-4*f**2
Let n(v) = -20*v. Let w(g) be the second derivative of -g**4/6 - 6*g. Determine n(w(i)).
40*i**2
Let r(h) = 17*h**2 + 3. Let k(o) = -11*o. Calculate k(r(w)).
-187*w**2 - 33
Let m(i) = -i + 18. Let o(q) be the first derivative of -q**2/2 + 10. What is o(m(s))?
s - 18
Let b(v) be the first derivative of 2*v**3/3 + 6. Let c(h) = -4*h. What is c(b(u))?
-8*u**2
Let t(p) = 28*p**2. Let m(v) = -116*v**2. Determine m(t(a)).
-90944*a**4
Let t(l) = 9*l**2 + 6*l. Let m(w) = w. Let r(a) = -6*m(a) + t(a). Let k(g) = g. Give r(k(o)).
9*o**2
Let b(u) = -14*u**2. Let a(l) = 67*l. Determine a(b(v)).
-938*v**2
Let j(u) = -2446*u. Let m(z) = -z**2. Give m(j(l)).
-5982916*l**2
Let l(g) = g**2. Let y(i) = 0*i - 2*i - 9*i. Calculate l(y(q)).
121*q**2
Let l(d) be the third derivative of d**4/12 + 5*d**3/6 + d**2. Let s(n) = 2*n + 6. Let m(c) = -6*l(c) + 5*s(c). Let j(t) = t**2. Give j(m(p)).
4*p**2
Let l(k) = 4*k**2 - 37*k. Let c(n) = 3*n. Give l(c(x)).
36*x**2 - 111*x
Let u(t) be the first derivative of -37*t**3/3 - 20. Let y(m) = m**2. What is y(u(b))?
1369*b**4
Let i(u) be the second derivative of 3*u + 1/3*u**3 + 0 + 0*u**2. Let o(k) = -2*k**2. Calculate i(o(z)).
-4*z**2
Let c(o) = 23*o**2. Let q(i) = 10*i**2. What is c(q(z))?
2300*z**4
Let n be -1 - (1 + -6 + 2). Let a(u) = -n*u + 3 + 6*u - 3. Let i(c) = -c**2. Calculate a(i(o)).
-4*o**2
Let j(c) = -5*c**2. Let k(s) = -2*s**2. Let w(z) = 3*j(z) - 8*k(z). Let m(b) = -8*b**2. Calculate m(w(p)).
-8*p**4
Let t(n) = -n**2. Let l(d) be the second derivative of -2/3*d**3 + 0 + 3*d + 0*d**2. Determine t(l(r)).
-16*r**2
Let v(a) be the second derivative of -a**4/3 - 29*a. Let n(p) = -14*p. Give n(v(c)).
56*c**2
Let f(b) = b**2. Let k(o) be the second derivative of o**4/8 - 5*o**2/2 + 4*o. Let d(r) be the first derivative of k(r). Determine f(d(j)).
9*j**2
Let f(w) be the second derivative of 3*w**4/4 + 6*w. Let t(z) = -2*z. What is t(f(y))?
-18*y**2
Let l(v) = -7*v. Let j(y) = y + 14 - 14. Calculate j(l(u)).
-7*u
Let a(m) = -5*m + 7. Let d(u) = 4*u - 6. Let y(f) = 2*a(f) + 3*d(f). Let x(n) = 3*n - 5. Let i(v) = 4*x(v) - 5*y(v). Let j(s) = 3*s**2. Give j(i(t)).
12*t**2
Let y(l) be the third derivative of l**4/24 + 4*l**2. Let h(r) = -4*r**2. What is y(h(c))?
-4*c**2
Let w(s) = 4*s**2. Let v(k) = 65*k + 39. Let h(l) = 8*l + 5. Let b(a) = -39*h(a) + 5*v(a). What is b(w(j))?
52*j**2
Suppose -f + 10 = 5*s, 2*s - 4 = 3*f - 8*f. Let r(n) be the second derivative of f*n**2 - 1/6*n**3 + 0 - n. Let a(v) = 2*v. Calculate r(a(o)).
-2*o
Let a(x) = x. Let l(q) = q + 1. Let h(b) = 3*b + 1. Let y(c) = -3*h(c) + 3*l(c). Determine a(y(u)).
-6*u
Let o(d) = -d**2. Let k(f) = -f**2 - 4*f. Let x be k(-3). Let a(p) = x*p - p + 4*p - 4*p. Determine a(o(z)).
-2*z**2
Let r(k) = -k**2. Let d(z) = -3*z**2. Give r(d(i)).
-9*i**4
Let x(t) = 9*t**2. Let n(z) = -3*z**2 + 5*z - 5. Let y(q) = q**2 - 2*q + 2. Let b(p) = -2*n(p) - 5*y(p). Calculate b(x(w)).
81*w**4
Suppose -f + 2 = -2. Suppose l = -2*l. Let x(g) = -f*g + l*g + 3*g. Let h(b) = 3*b**2. Determine x(h(m)).
-3*m**2
Let l(t) be the first derivative of t**6/60 - 2*t**3/3 - 2. Let o(a) be the third derivative of l(a). Let r(s) = 3*s. Give o(r(n)).
54*n**2
Let n(f) = -2*f**2. Let g(u) = 4*u**2 + 5*u + 5. Let c(b) = b**2 + b + 1. Let p(w) = 5*c(w) - g(w). Give p(n(q)).
4*q**4
Let w(b) = -39*b**2. Let u(p) = -15*p**2. Determine w(u(x)).
-8775*x**4
Let a(g) = 3*g + g - 2*g. Let k(s) = 9*s**2. | {
"pile_set_name": "DM Mathematics"
} |
-39?
-26
What comes next: 20, 30, 52, 92, 156, 250, 380, 552?
772
What is next in 76, 116, 144, 166, 188, 216, 256?
314
What is the next term in -2056, -4123, -6190, -8257, -10324, -12391?
-14458
What is next in 20, 66, 158, 320, 576, 950, 1466, 2148?
3020
What is next in -1, 10, 21, 32, 43?
54
What is next in -25, -95, -207, -355, -533, -735, -955, -1187?
-1425
What is the next term in 1, -4, -7, -8, -7?
-4
What comes next: -493, -986, -1479?
-1972
What comes next: 3646, 3648, 3650, 3652, 3654, 3656?
3658
What is the next term in -106, -115, -126, -139, -154, -171?
-190
What comes next: 212, 213, 214?
215
What is next in -61, -119, -177, -235, -293?
-351
What is the next term in -15, -77, -247, -579, -1127, -1945?
-3087
What is the next term in -41, -58, -85, -122?
-169
What is the next term in 6, 17, 28?
39
What is next in 391, 393, 395, 397, 399?
401
What is the next term in 272, 240, 158, 2, -252, -628, -1150, -1842?
-2728
What is next in 22, 31, 34, 31, 22?
7
What is the next term in -31, -66, -97, -118, -123?
-106
What comes next: 5, 8, 13, 20, 29?
40
What is next in -54, -103, -150, -195?
-238
What comes next: -948, -946, -942, -936?
-928
What is next in 19, 40, 61?
82
What is next in 926, 937, 952, 971, 994, 1021, 1052?
1087
What is the next term in 8, 38, 126, 302, 596, 1038, 1658, 2486?
3552
What is next in -41, -86, -131, -176, -221, -266?
-311
What comes next: -63, -141, -237, -357, -507?
-693
What comes next: -525, -591, -657?
-723
What is next in -540, -516, -470, -396, -288, -140, 54?
300
What is the next term in -24296, -24297, -24298, -24299, -24300?
-24301
What comes next: 157, 300, 447, 598, 753?
912
What is the next term in -1173, -1175, -1177, -1179, -1181, -1183?
-1185
What comes next: 169, 183, 197, 211, 225?
239
What comes next: 1075, 1074, 1073, 1072, 1071?
1070
What is next in 67, 136, 205, 274, 343?
412
What comes next: -85, -91, -99, -109, -121, -135, -151?
-169
What comes next: 32, 76, 150, 254?
388
What comes next: 51, -15, -81?
-147
What is next in -327, -656, -985, -1314, -1643, -1972?
-2301
What comes next: 13, 19, 31, 49, 73, 103?
139
What comes next: 464, 930, 1386, 1826, 2244?
2634
What is the next term in 47, 85, 117, 143, 163, 177, 185?
187
What is the next term in 2, 1, -2, -7, -14?
-23
What comes next: 113, 226, 339, 452, 565, 678?
791
What is next in -282, -283, -284, -285, -286?
-287
What comes next: -1894, -1884, -1860, -1816, -1746, -1644, -1504?
-1320
What is the next term in 20350, 40702, 61054, 81406, 101758?
122110
What is the next term in -7, -26, -45, -64?
-83
What is next in -90, -202, -314?
-426
What comes next: 430, 439, 448, 457, 466?
475
What is next in 0, 22, 68, 150, 280, 470, 732, 1078?
1520
What comes next: 113, 418, 927, 1640?
2557
What comes next: -35, -26, -19, -14, -11, -10?
-11
What comes next: -117, -219, -307, -375, -417, -427?
-399
What is the next term in 13, 8, 3, -2, -7?
-12
What is next in 34, 139, 322, 589, 946, 1399, 1954, 2617?
3394
What is the next term in -146, -290, -434, -578, -722, -866?
-1010
What is the next term in 10159, 10161, 10165, 10171, 10179, 10189, 10201?
10215
What is next in 0, 2, 18, 54, 116, 210, 342?
518
What is next in -572, -1150, -1730, -2312, -2896, -3482?
-4070
What comes next: 25, 66, 171, 370, 693, 1170, 1831?
2706
What is the next term in -4, 1, 14, 41, 88?
161
What comes next: -53, -120, -197, -284, -381, -488?
-605
What is the next term in 115, 126, 151, 196, 267, 370, 511, 696?
931
What is next in 214, 230, 254, 286, 326, 374, 430?
494
What is next in 38, 68, 98, 128, 158?
188
What is the next term in -45, -177, -403, -729, -1161?
-1705
What is the next term in 66, 37, -40, -189, -434, -799, -1308, -1985?
-2854
What comes next: 37, 30, 27, 28, 33?
42
What is the next term in 11, 69, 165, 299, 471?
681
What is the next term in 7457, 7458, 7459, 7460, 7461, 7462?
7463
What is the next term in 29, 75, 147, 257, 417, 639?
935
What is next in 2781, 2783, 2785, 2787, 2789?
2791
What comes next: 59, 112, 165, 218?
271
What is next in -76, -281, -618, -1087?
-1688
What is the next term in 1923, 1925, 1927, 1929?
1931
What is next in -49, -33, 9, 89, 219, 411?
677
What is next in -7, 3, 17, 35?
57
What comes next: 69, 172, 309, 480, 685?
924
What is the next term in -215, -214, -217, -224, -235, -250?
-269
What is next in -28, -29, -30, -31, -32, -33?
-34
What is next in 32, 70, 108, 146?
184
What is the next term in 1766, 1768, 1772, 1778, 1786?
1796
What comes next: 768, 856, 1098, 1572, 2356?
3528
What is the next term in 180, 347, 500, 633, 740, 815, 852?
845
What is next in 73, 306, 695, 1240, 1941, 2798, 3811?
4980
What is the next term in -5, -14, -45, -110, -221, -390?
-629
What is next in 329, 337, 357, 395, 457, 549, 677?
847
What comes next: 85, 81, 75, 67, 57, 45?
31
What is next in -10, -8, -4, 2?
10
What comes next: -1011, -1012, -1013, -1014, -1015, -1016?
-1017
What comes next: 489, 490, 493, 498, 505, 514, 525?
538
What is next in -152, -162, -170, -176, -180, -182, -182?
-180
What comes next: -207, -230, -253, -276?
-299
What comes next: 14, 18, 56, 146, 306?
554
What is the next term in -33, -132, -297, -528, -825, -1188, -1617?
-2112
What is the next term in 0, -4, -10, -18, -28?
-40
What is next in -897, -905, -919, -939, -965?
-997
What is the next term in 14, 0, -32, -88, -174, -296?
-460
What is the next term in 52, 104, 158, 214, 272?
332
What is the next term in -1165, -2316, -3467?
-4618
What comes next: -5944, -11887, -17830, -23773, -29716, -35659?
-41602
What is next in -1686, -3373, -5060?
-6747
What comes next: 30, 1, -30, -63, -98?
-135
What is the next term in 258, 1021, 2292, 4071, 6358, 9153, 12456?
16267
What is the next term in 4934, 4935, 4934, 4931?
4926
What is next in 1092, 2192, 3302, 4428, 5576?
6752
What comes next: 331, 658, 985?
1312
What is next in -5937, -5932, -5917, -5886, -5833?
-5752
What is the next term in -44, -43, -42, -41?
-40
What is next in 18, 105, 250, 453?
714
What is next in -45, -47, -61, -93, -149, -235, -357, -521?
-733
What comes next: 167, 339, 511, 683?
855
What is the next term in -789, -1575, -2359, -3141, -3921, -4699, -5475?
-6249
What is the next term in -27, -110, -249, -444?
-695
What is next in 5, 8, 1, -22, -67, -140?
-247
What comes next: -14, -45, -122, -269, -510, -869?
-1370
What is the next term in 1013, 2025, 3035, 4043, 5049, 6053, 7055?
8055
What is next in 0, -18, -42, -72, -108?
-150
What is next in 6566, 6560, 6550, 6536, 6518, 6496, 6470?
6440
What comes next: 7918, 7920, 7922?
7924
What comes next: -10, -19, -28?
-37
What is next in 165, 170, 177, 186, 197, 210, 225?
242
What comes next: 270, 1134, 2574, 4590, 7182?
10350
What is the next term in 8905, 8914, 8937, 8980, 9049, 9150, 9289?
9472
What is the next term in 4, 6, 20, 52, 108, 194, 316?
480
What is next in -3254, -3259, -3276, -3311, -3370, -3459?
-3584
What is next in 36, 42, 46, 48, 48, 46?
42
What comes next: 6, 7, 6, 3, -2, -9?
-18
What is the next term in 32, 111, 242, 425, 660, 947, 1286?
1677
What comes next: -8152, -8151, -8150, -8149?
-8148
What is next in 1897, 1882, 1843, 1768, 1645, 1462?
1207
What is the next term in 796, 3182, 7160, 12730, 19892?
28646
What is the next term in -117, -124, -133, -144, -157, -172?
-189
What is next in -696, -1388, -2080, -2772, -3464, -4156?
-4848
What is next in -6, 2, 22, 60, 122, 214, 342, 512?
730
What is the next term in 842, 841, 840, 839, 838?
837
What is next in 127, 256, 385, 514, 643, 772?
901
What is the next term in 32, 44, 44, 26, -16, -88, -196?
-346
What is the next term in 675, 677, 689, 717, 767, 845, 957, 1109?
1307
What is next in -30, -94, -208, -378, -610, -910, -1284, -1738?
-2278
What is the next term in 7, 62, 119, 178, 239?
302
What is next in -121, -139, -169, -211, -265, -331, -409?
-499
What is the next term in 34, 113, 248, 445, 710, 1049, 1468?
1973
What comes next: -13, 9, 31, 53?
75
What is next in 401, 411, 429, 461, 513, 591?
701
What is next in -6834, -6835, -6836?
-6837
What is the next term in 589, 556, 509, 454, 397, 344, 301, 274?
269
What is the next term in -1, -30, -61, -94, -129, -166, -205?
-246
What is the next term in -58, -124, -234, -388?
-586
What is next in 309, 308, 307, 306, 305?
304
What is next | {
"pile_set_name": "DM Mathematics"
} |
/2*y**2 + 7*y - 1/60*y**5 + 2/3*y**3 + 0 + 1/8*y**4. Let o(c) be the first derivative of h(c). Find i such that o(i) = 0.
-1, 4
Let g(l) be the second derivative of 82/3*l**3 - 15*l + 52*l**2 + l**4 + 1. Suppose g(k) = 0. What is k?
-13, -2/3
Let y be 4390/3951*(-54)/(-10). Find p such that -y + 9/2*p - 3/4*p**2 = 0.
2, 4
Let l be (-2)/((-32)/24) - 9/(-2). Let o be 6/(-90) - l/(-15). Factor -o*g + 0 - 1/3*g**2.
-g*(g + 1)/3
Let l(g) be the third derivative of -g**7/15 - 29*g**6/30 + 481*g**5/30 + 172*g**4/3 + 52*g**3 - 39*g**2 + 15*g. Let l(i) = 0. What is i?
-13, -1, -2/7, 6
Let o be (-70)/10 + 11 - 8422/2104. Let x = o - -529/1052. Determine t, given that x - 7/4*t - t**2 = 0.
-2, 1/4
Let r = -29281/30 - -4881/5. Factor 0 + 7/6*i**3 - r*i**4 - 2/3*i**2 - 2*i.
-i*(i - 6)*(i - 2)*(i + 1)/6
Suppose -97*w = -26*w - 933 - 771. Let y(b) be the first derivative of 16*b - 22 + 9*b**4 + w*b**2 - 100/3*b**3. Let y(g) = 0. What is g?
-2/9, 1, 2
Solve -26/5*o - 4/5*o**4 - 43/5*o**3 + 0 + 23*o**2 = 0.
-13, 0, 1/4, 2
Factor -4*q**2 - 1058*q + 4*q**3 + 501*q + 556*q + 6 - 5*q**3.
-(q - 1)*(q + 2)*(q + 3)
Suppose 4*w - 4*f - 68 = 0, 0*f = -3*w - 5*f + 51. Factor -12*z**2 + w*z**2 - 2*z - 12*z + 3*z + z.
5*z*(z - 2)
Let s be (-660)/(-2898) + 11 - 11. Let l = 4/69 + s. Factor 16/7*f**2 + 20/7 + 38/7*f - l*f**3.
-2*(f - 10)*(f + 1)**2/7
Let z(m) be the first derivative of m**3/3 - 146*m**2 + 1152*m + 10597. Factor z(n).
(n - 288)*(n - 4)
Let s(k) be the third derivative of 2*k**7/315 + 2*k**6 + 178*k**5/15 + 266*k**4/9 + 118*k**3/3 - 29*k**2 + 4*k. Determine r, given that s(r) = 0.
-177, -1
Let x(r) = -r**2 + 5*r + 1. Let g(o) = 5*o**2 + 4593*o - 2677305. Let p(i) = -g(i) - 7*x(i). What is q in p(q) = 0?
1157
Let d(f) = -76 + 35 - f + 2*f + 21. Let g be d(23). Factor 0*q - 2/15*q**g - 2/15*q**2 + 0.
-2*q**2*(q + 1)/15
Let f be 64/(-512)*-2*9. Let b = f + 1/4. Factor -1/2*i**3 + b*i**2 - 3/2*i - 9/2.
-(i - 3)**2*(i + 1)/2
Let z be (10/36)/(70/42) + 7/42. Let v(y) be the third derivative of -1/90*y**5 - z*y**3 + 0 - 3*y**2 - 1/9*y**4 + 0*y. Factor v(d).
-2*(d + 1)*(d + 3)/3
Suppose -87*w**2 + 9*w**5 - 2*w**3 + 99*w**2 + 3*w**5 + 4 - 21*w**4 + 5 - 52*w**3 + 42*w = 0. Calculate w.
-1, -1/4, 1, 3
Let f be ((-784)/120 + 260/195)/(-3). Suppose f*k**2 + 2/5*k - 6/5*k**3 - 22/15*k**4 - 4/15 + 4/5*k**5 = 0. What is k?
-1, -1/2, 1/3, 1, 2
Factor 71/3 - 73/6*o + 1/6*o**3 - 35/3*o**2.
(o - 71)*(o - 1)*(o + 2)/6
Let n(c) = 2*c**2 - c - 12. Let j(k) = 6*k**3 - 87*k**2 - 366*k - 135. Let u(h) = j(h) - 2*n(h). Let u(q) = 0. Calculate q.
-3, -1/3, 37/2
Let v(i) be the first derivative of -i**4/6 - 22*i**3/3 + 135*i**2 - 2150*i/3 + 1412. What is m in v(m) = 0?
-43, 5
Suppose 2*r - 4*r + 122 = 0. Let y = r + -58. Factor 4*h**2 - 4*h**3 - h**2 - 3*h**y + 4*h**3.
-3*h**2*(h - 1)
Let m(g) be the second derivative of -g**6/50 - 27*g**5/25 + 3*g**4/20 + 11*g**3 + 108*g**2/5 + 2199*g. Determine j so that m(j) = 0.
-36, -1, 2
Let g(q) be the first derivative of 1/14*q**4 + 9 + 4/35*q**5 + 0*q - 1/21*q**6 + 0*q**2 - 4/21*q**3. Suppose g(b) = 0. What is b?
-1, 0, 1, 2
Suppose 23*d - 28*d = -5*f + 105, 0 = -f - 5*d + 33. Suppose -16 + 25*l**2 - 34 + 2*l**3 + 25*l**2 + 21*l - f*l = 0. What is l?
-25, -1, 1
Let s(z) be the third derivative of z**6/300 + 3*z**5/5 - z**4/60 - 6*z**3 - 1374*z**2. Factor s(h).
2*(h - 1)*(h + 1)*(h + 90)/5
Suppose 752 = 5*g - 1138. Let j = g + -378. Factor j + 0*w**2 - 1/6*w**3 + 1/6*w.
-w*(w - 1)*(w + 1)/6
Let c(o) be the third derivative of -o**7/840 + o**6/48 - 3*o**5/20 + o**4/8 + o**3/6 + o**2 + 2. Let b(h) be the second derivative of c(h). Factor b(i).
-3*(i - 3)*(i - 2)
Suppose -s = -2*x + 1, 2*x = 2*s + 3*x - 8. Find i such that -44*i - 4*i**s + 3*i**3 + 3*i**2 + 42*i = 0.
0, 1, 2
Let k be (5 - 29559/(-33)) + -7. Let p = k + -893. Factor -6/11*m - p*m**2 + 2/11.
-2*(m + 1)*(4*m - 1)/11
Let j(q) be the first derivative of 4*q**5/5 - 7*q**4 - 32*q**3/3 + 918. Factor j(a).
4*a**2*(a - 8)*(a + 1)
Let g(a) be the first derivative of -a**7/2240 - a**6/120 + 9*a**5/320 - 3*a**3 - 7*a**2/2 - 231. Let x(t) be the third derivative of g(t). Factor x(m).
-3*m*(m - 1)*(m + 9)/8
Suppose 120 = -10*c - 82*c + 396. Let g(s) be the first derivative of 0*s + 20 + 1/12*s**2 + 1/18*s**c. Let g(z) = 0. What is z?
-1, 0
Let m(w) be the first derivative of -5*w**3/3 - 175*w**2 + 720*w + 914. Suppose m(u) = 0. Calculate u.
-72, 2
Suppose 0 = -16*c - 6*c + 3784. Factor c*w**3 + 169*w**3 - 18 + 21*w - 344*w**3.
-3*(w - 2)*(w - 1)*(w + 3)
Let b(d) be the third derivative of d**5/270 + 601*d**4/108 + 200*d**3/9 - 1963*d**2. Suppose b(w) = 0. What is w?
-600, -1
Let a = 904 + 1543. Let o = -1490 + a. Determine j so that -o*j - 2*j**2 + 0 - 2 + 953*j = 0.
-1
Let q(u) be the third derivative of -u**6/420 + 10*u**5/21 - 64*u**4/3 - 1792*u**3 + 2805*u**2. Find p such that q(p) = 0.
-12, 56
Let w(u) be the second derivative of u**6/120 + 11*u**5/80 + 7*u**4/24 - 11*u**3/6 - 9*u**2 + 1073*u + 1. Factor w(y).
(y - 2)*(y + 2)**2*(y + 9)/4
Let y = 147 + -421/3. Let c(m) = 237*m - 12795. Let u be c(54). Factor -4*w**2 + 4/3*w**u - y*w - 8/3 + 4/3*w**4.
4*(w - 2)*(w + 1)**3/3
Suppose 104 = 122*a - 384. Let x(c) be the third derivative of 5/6*c**3 + 5/16*c**a + 0*c + 0 + 1/24*c**5 - 4*c**2. Factor x(y).
5*(y + 1)*(y + 2)/2
Let b(t) be the second derivative of 160*t**2 + 208/3*t**3 + 7*t**4 + 281*t - 9/5*t**5 + 0. Determine j so that b(j) = 0.
-4/3, 5
Let z(r) be the first derivative of -r**8/1680 + r**7/840 + r**6/180 - 6*r**3 + 15. Let o(w) be the third derivative of z(w). Determine s, given that o(s) = 0.
-1, 0, 2
Let a = 953 - 1757. Let j = a - -5630/7. Suppose 4/7*n**2 - 4/7 + j*n - 2/7*n**3 = 0. Calculate n.
-1, 1, 2
Let z be (-8 - 3) + 6 + 462/3. Suppose -5*o - z + 169 = 0. Find i, given that 2/7*i**3 - 4/7*i**o + 0*i + 2/7*i**5 + 0*i**2 + 0 = 0.
0, 1
Let l be (-32)/(-2) - (749736/594)/89. Solve 0*p + 0 + 6/11*p**3 + l*p**2 - 2/11*p**4 = 0 for p.
-2, 0, 5
Let k(n) = 36*n + 9. Suppose -5*u + 26 = -4. Let f be k(u). Suppose 5*g**2 + 5*g**3 + 225 - f = 0. Calculate g.
-1, 0
Let h(u) = -10*u**3 + 68*u**2 - 14*u. Let f(g) = 19*g**3 + 14*g**2 - 41*g**3 + 20*g**3 - 3*g. Let d(j) = 28*f(j) - 6*h(j). Factor d(l).
4*l**2*(l - 4)
Let x(b) be the first derivative of 3/4*b**4 + 0*b**2 - 3/5*b**5 + 0*b + 2*b**3 + 59. Let x(j) = 0. Calculate j.
-1, 0, 2
Solve 0 + 1444/3*c**3 + 1/3*c**5 + 0*c**2 + 0*c + 76/3*c**4 = 0 for c.
-38, 0
Let i(u) = 240240*u**2 + 12380*u + 170. Let p(c) = 360359*c**2 + 18568*c + 256. Let j(x) = -8*i(x) + 5*p(x). Factor j(z).
-5*(155*z + 4)**2
Let u = 184374 + -184374. Factor 2*r - 1/6*r**2 + u.
-r*(r - 12)/6
Let c be 1 - (-1)/((7/(-3))/(-7)). Solve 898*x**c - 358 - 705*x**2 - 142 - 110*x**3 - 903*x**4 - 1100*x = 0.
-10, -1
Let b(i) be the third derivative of i**8/5880 - i**7/2940 - i**6/1260 + i**5/420 - 37*i**3/3 + i**2. Let q(f) be the first derivative of b(f). Factor q(r).
2*r*(r - 1)**2*(r + 1)/7
Let s(v) = -11*v**3 - 10*v**2 + 2*v - 2. Suppose 57 = -3*p + 60. Let i(x) = 2*x**3 + 2*x**2 - x - 1. Let n(m) = p*s(m) + 6*i(m). Factor n(g).
(g - 2)*(g + 2)**2
Find i, given that 89 - 16*i**4 - 25*i**4 - 105*i**2 - 40*i + 11 + 46*i**4 + i**3 + 39*i**3 = 0.
-10, -1, 1, 2
Let p be 1650/((-6)/(-3) - (-16 - -16)). Let m = 827 - p. Factor 0*v**m + 0 + 0*v**4 + 0*v + 2/7*v**3 - 2/7*v**5.
-2*v**3*(v - 1)*(v + 1)/7
Factor 2/3*k**2 - 742/3*k - 248.
2*(k - 372)*(k + 1)/3
Let n(z) be the first derivative of -z**6/720 - z**5/120 + z**4/6 - 73*z**3/3 - 55. Let g(t) be the third derivative of n(t). Factor g(v).
-(v - 2)*(v + 4)/2
Solve 27/4*l - 3/2*l**2 - 9 + 1/12*l**3 = 0 for l.
3, 12
Let c(t) = -t**3 - 7*t**2 - 12*t - 4. Let y be c(-5). Let x(w) be the second derivative of 0 + 27/2*w**2 + 1/4*w**4 - y*w + 3*w**3. Factor x(j).
3*(j + 3)**2
Let l = -373829 + 373831. Factor -1/2*v**3 - 7/2*v**l - 5*v + 0.
-v*(v + 2)*(v + 5)/2
Let n(g) be the first derivative of g**3/21 - g**2/2 - 44*g/7 + 2814. Factor n(z).
(z - 11)*(z + 4)/7
Let r(a) be the first derivative of 2*a**5 - 15/4*a**4 + 5/6*a**6 - 20/3*a**3 + 0*a + 15 + 10*a**2. Factor r(q).
5*q*(q - 1)**2*(q + 2)**2
Let t(o) = -o**3 - 20*o**2 + 57*o + 272. Let r be t(-22). Let w be 5 + (-2)/r*(-561)/17. Solve 20/7 - w*i**2 - 18/7*i = 0 for i.
-10, | {
"pile_set_name": "DM Mathematics"
} |
t u(q) = -7 + 2*q - 2 + 4. Let s be u(5). Suppose 2*f + y - 32 = 0, 2*f - 36*y = -38*y + 34. What is the greatest common factor of s and f?
5
Let l be (6/(-10))/(75/(-250)). Suppose 4*b - 12 = -2*i, -5*b = 4*i - 4*b - 31. Calculate the highest common divisor of i and l.
2
Suppose 4*b - 11 - 69 = 0. Let s be 106/4 + 10/b. Suppose 0 = -36*p + 38*p + 3*t - 477, -2*p = -t - 489. Calculate the greatest common divisor of s and p.
27
Suppose -4*q = -5*t - 101, -17 = 5*t + 8. Suppose -521 = -3*m + 4*j, -q*j + 849 = 5*m - 16*j. Calculate the highest common factor of m and 38.
19
Let m be (-12)/8*(-23 + -1). Suppose 0 = -3*i + 11*i - 32. Let s be (10/i)/((-20)/(-96)). What is the greatest common factor of s and m?
12
Let k be ((-66)/(-8))/(3/72*1). Suppose 5*c - 264 = -2*g, 7*c - 39 = 6*c - 5*g. Calculate the highest common factor of c and k.
18
Suppose 4*r - 24 = -2*i, 3*r = 3*i - 275 + 212. Suppose -w + 7 = -2. Calculate the greatest common divisor of w and i.
9
Let u(k) = k + 10. Let p be (-40)/6*(-2 + -1 + 6). Let y be (-196)/p - 2/(-10). Let g be u(y). What is the highest common divisor of 20 and g?
20
Let r(t) = t**3 - 12*t**2 - 11*t + 2. Let z be r(13). Suppose 20*b - 283 = 677. Calculate the greatest common factor of b and z.
4
Let a = 56 + -36. Let c(h) = h**3 - 28*h**2 + 55*h - 28. Let f be c(26). What is the highest common divisor of a and f?
10
Let x be ((-2)/(-2))/(-35*35/(-51450)). What is the highest common factor of x and 2334?
6
Let q(f) = -f + 16. Let u be q(-20). Let i(r) = -r**3 - 10*r**2 + 2*r + 24. Let k be i(-10). Calculate the highest common factor of u and k.
4
Let g = -59 + 62. Suppose -3*w - g = -4*z - 6, 5 = w. Suppose -d = -s - 4*s + 11, -17 = -z*s - 2*d. What is the highest common divisor of 24 and s?
3
Let y(z) = -642*z - 2573. Let a be y(-5). Calculate the highest common factor of a and 784.
49
Let y(t) = 2*t**3 - 13*t**2 + 34*t - 56. Let l be y(15). Calculate the greatest common divisor of l and 11.
11
Let t = -16611 - -23622. What is the greatest common divisor of 171 and t?
171
Suppose -55*w + 17*w = -1710. Let z be 29 + -1 + (-8)/(-4). Calculate the greatest common factor of z and w.
15
Suppose -3*l + 45 = t, -2*t + 5*t - 135 = 3*l. Let c be ((-55)/15 - 1)/(2/(-45)). Suppose -c*s + 825 = -94*s. Calculate the greatest common divisor of t and s.
15
Suppose -13842 + 77297 = 173*n - 171825. What is the highest common divisor of n and 64?
16
Let b = 113 + -113. Suppose b = -13*v + 12*v - 213. Let n = v - -303. Calculate the highest common divisor of n and 30.
30
Suppose 9*g + 38*g - 423 = 0. Suppose 0*h - h = 0. Let d be 7 + -5 - (h + 0). Calculate the highest common factor of g and d.
1
Let t = 3843 - 3826. Calculate the greatest common divisor of 2227 and t.
17
Suppose -j - 3*y + 11181 = 0, -5*y + 7*y = 6. Calculate the greatest common factor of j and 21.
21
Let q(l) = 159*l - 6177. Let k be q(39). Let r = 10 + -1. Let d be (-6)/(-27) - (-52)/r. What is the greatest common divisor of d and k?
6
Suppose -109*x + 8*x = 0. Let r = -4 + 6. Suppose 2*l = 4*i + 22, -3*l + r*i + 2*i + 27 = x. Calculate the highest common divisor of l and 45.
5
Let a(s) = -s + 32. Suppose 0 = -5*r + 2*k - 31, 3*r = -r + 3*k - 22. Let l be a(r). Calculate the highest common divisor of 13 and l.
13
Let p = -623 - -617. Let d be 493*((-12)/(-36))/((-2)/p). What is the greatest common factor of d and 17?
17
Let g(z) = 22*z**2 + 25*z + 4. Let p be g(-6). Suppose -238 = -v + 5*c - 72, 4*v - p = 2*c. Calculate the highest common divisor of 69 and v.
23
Let a(u) = u**3 - 10*u**2 + 9*u - 39. Let n be a(10). What is the highest common divisor of n and 69?
3
Suppose 3*n + 24 = 5*n. Let d(b) = b**3 - 26*b**2 - 471*b + 1302. Let p be d(38). What is the highest common divisor of p and n?
12
Let b = 0 + 2. Suppose -u - 501 = 4*u + f, -4*f - 504 = 5*u. Let v be (u/35)/((-10)/35). Calculate the highest common divisor of v and b.
2
Let t(p) = p**3 - 11*p**2 - 4*p + 61. Let k be t(11). Suppose -k = 16*f - 21*f + 3*h, 5*f = 2*h + 13. Calculate the greatest common divisor of 4 and f.
1
Let p(q) = 665*q**3 + 15*q**2 - 54*q + 36. Let k be p(3). Calculate the highest common factor of k and 12.
12
Suppose 12*y = 11*y + 9. Suppose 231 = y*c - 849. Let m be (-14 + (-1 - 0))*-1. Calculate the highest common factor of m and c.
15
Suppose -5*j + 104 = -3*j. Suppose -237*m - 14496 = -7369 - 99557. What is the highest common divisor of j and m?
26
Let w(t) = 3*t**2 - 52*t - 24. Suppose 3*j - 2*j - 18 = 0. Let k be w(j). Calculate the greatest common factor of 324 and k.
12
Let m be (-15 + -5)/((-9)/48)*(-30)/(-25). What is the greatest common divisor of m and 5120?
128
Let s be 33/3*2/1. Let n be (-3 - 2) + (2 + 2 - -5). Let f be ((-384)/(-84) - n) + 1228/7. What is the greatest common divisor of s and f?
22
Suppose -5*i + 42 = 4*g, -4*i = -15 + 7. What is the greatest common factor of g and 1120?
8
Suppose -6*b = -4*b - 6. Suppose -5*n + 12 = -b*n. What is the greatest common divisor of n and 162?
6
Suppose -23*b = -19*b - 20. Suppose -4*t + b*t = -3*c + 81, 2*t - 3*c = 144. What is the highest common factor of 90 and t?
15
Let z(u) = -u**3 + u**2 + 6*u + 3. Let p be z(3). Let r be (36/4)/(p/(-2)). Let x be ((-14)/(-4) + -4)*(r + 2). What is the greatest common divisor of 16 and x?
2
Suppose 37*p + 43*p - 10031 = 26369. What is the greatest common divisor of p and 40?
5
Let f(d) = 3*d**2 - 105*d + 522. Let n be f(30). Let g be 2*(7 - (0 + -1)). Calculate the greatest common divisor of n and g.
8
Let t be -4 - (-3)/(9/15). Suppose t = -2*c + 19. Suppose 0 = c*g - 7*g - 180. What is the greatest common divisor of 10 and g?
10
Let f be (-186)/(-24) + 1 + 21/(-12). Suppose -12 = -4*x - m, 3*x - 3*m = -m - 2. Let k be f - 6 - -6*x/4. What is the greatest common factor of k and 3?
1
Suppose -63 = -5*q + 2*t, 3*t - 53 = -4*q - 44. Let j(y) = -y**3 - 2*y**2 + 4*y - 1. Let d be j(-4). Calculate the highest common factor of d and q.
3
Let u(p) = 2*p**2 - 65*p - 135. Let z be u(35). Calculate the highest common divisor of z and 968.
8
Suppose 5*b + a = 48, 0 = 4*b - 5*b + 5*a - 6. Suppose 0 = -5*m - 30, 65*j = 63*j - 4*m - 12. What is the greatest common divisor of j and b?
3
Let m be (1*-7)/(2/(-54)). Let l = 5336 - 5210. Calculate the highest common divisor of l and m.
63
Let y = -292 - -294. Suppose 0 = 12*v - 15*v - 15, -y*o + 257 = -3*v. What is the greatest common factor of o and 11?
11
Suppose 3*d + 2*o - 1938 = 0, 3*o - 1632 = -2*d - 335. Calculate the greatest common factor of d and 46.
46
Suppose -5*f - 234 = -2*v, 5*v + f = 415 + 143. Let i = v + -77. Let b be 3 - 20/i*(-21)/(-6). What is the highest common factor of 2 and b?
1
Let x be ((-246)/8)/((-75)/100). Suppose 89 = 2*v + x. What is the highest common factor of v and 84?
12
Let m be (-27)/5 + 30/(-50). Let h(g) = -4*g - 17. Let r be h(m). Suppose r*k - 144 = 3*k. What is the highest common divisor of 12 and k?
12
Let k be (-60)/350*5 + (-159648)/(-56). Calculate the greatest common factor of 225 and k.
75
Let n be 1/(2 + 831/(-417)). Let m = n + -83. Suppose q + 50 = 5*c, -4*q - m = -4*c - 0*q. What is the highest common divisor of c and 99?
9
Let b be 126*-2*(-35)/70. Let n = 52 - 10. Calculate the highest common factor of n and b.
42
Let y = -20246 - -20290. Let t = -3 + 399. Calculate the greatest common divisor of y and t.
44
Suppose 2*k + 0*k = -10. Let x(p) = p**3 + 7*p**2 + 3*p. Let b be x(k). Calculate the greatest common divisor of b and 21.
7
Suppose 2*v = -4*g + 20, -2*g + 10 = -2*v + 6. Let n(x) = 11*x + 21. Let w be n(g). Calculate the greatest common divisor of w and 26.
13
Let i(g) = -g**3 + g**2 - 54*g - 31. Let n be i(-9). Calculate the greatest common divisor of 805 and n.
115
Let b(i) = -i**3 + 2*i - 283. Let y be b(0). Let g = 433 + y. What is the greatest common divisor of g and 10?
10
Suppose -5*a - 1415 = -5*n, 0 = 5*a + 20. Let x be 0 + -1*6*4. Let h = x + 55. Calculate the greatest common factor of h and n.
31
Suppose -3*b = -2*x - 46, 2*x + 49 - 67 = -b. Calculate the greatest common factor of b and 144.
16
Let p(d) = d**3 + 13*d**2 + 145*d + 1178. Let h be p(-10). Suppose 2*f - 97 = 99. What is the highest common factor of h and f?
14
Let w be (-37110)/(-70) + (1 - (-18)/(-21))/(-1). Let | {
"pile_set_name": "DM Mathematics"
} |
-173ab (base 12) to base 5
-2032040
What is a186 (base 15) in base 12?
17899
What is 221100012200020 (base 3) in base 8?
63277255
What is -313233321 (base 5) in base 6?
-43551445
17f02 (base 16) to base 13
35824
-11324066 (base 7) to base 2
-11110011100111001011
Convert 56696 (base 12) to base 16.
1c152
Convert 2113022 (base 8) to base 4.
2021120102
-14337324 (base 8) to base 3
-20010122001001
Convert -c2750 (base 16) to base 6.
-25023252
What is 1133102002 (base 4) in base 9?
654317
What is -266c59 (base 13) in base 2?
-11100010110111010100
What is -23313442 (base 5) in base 2?
-110100001001110110
Convert -b2a34 (base 14) to base 16.
-68ff6
Convert -5574312 (base 8) to base 16.
-16f8ca
What is 56532 (base 10) in base 4?
31303110
Convert -153053 (base 7) to base 10.
-29879
What is 2461564 (base 10) in base 8?
11307574
Convert -202220212002020 (base 3) to base 12.
-3882073
11111010001001000011 (base 2) to base 7
11465053
Convert -12332112131 (base 4) to base 9.
-3385802
-1103526 (base 7) to base 8
-411106
-1011001101110010 (base 2) to base 3
-2100000102
Convert -139011 (base 10) to base 2.
-100001111100000011
What is -3163276 (base 8) in base 7?
-10121010
What is -3403223 (base 5) in base 4?
-32212211
Convert 24d85a (base 15) to base 12.
7126aa
Convert c224d (base 14) to base 11.
299902
100101220221 (base 3) to base 4
231030112
What is 4362500 (base 7) in base 5?
114130404
-958988 (base 11) to base 16
-176a21
-1930199 (base 14) to base 15
-116963b
Convert -27de2 (base 16) to base 9.
-268002
What is 84423 (base 10) in base 7?
501063
Convert 1100101011100010 (base 2) to base 7.
304265
66424035 (base 8) to base 6
1230234205
Convert 101110011101100110000 (base 2) to base 16.
173b30
-781121 (base 10) to base 5
-144443441
What is -1a6191 (base 13) in base 9?
-1231517
Convert -223302113102 (base 4) to base 14.
-174b198
102432145 (base 6) to base 11
1025766
What is -8b998 (base 14) in base 10?
-339410
Convert -d96d3 (base 14) to base 12.
-214109
4107761 (base 8) to base 15
16691a
What is 6e561 (base 15) in base 16?
55fd8
What is 8908 (base 13) in base 10?
19105
What is -62812 (base 14) in base 12?
-b5594
Convert -101101011010111 (base 2) to base 12.
-1155b
134412231 (base 5) to base 14
143633
1001101000001001111 (base 2) to base 14
82d79
-1697 (base 10) to base 2
-11010100001
-148453 (base 12) to base 4
-1110201333
Convert -a2244 (base 13) to base 8.
-1067136
What is -2311002022 (base 4) in base 10?
-741514
What is -310302123212 (base 4) in base 13?
-2b367c9
165a652 (base 12) to base 16
46341e
What is -1000102100000221 (base 3) in base 7?
-234600661
Convert -163b5 (base 14) to base 4.
-31211023
-112510124 (base 6) to base 12
-84b344
Convert 1002202030 (base 4) to base 10.
272524
57443a6 (base 11) to base 16
9957f9
What is 2114313110 (base 5) in base 12?
15a6029
Convert -eab0f (base 16) to base 14.
-1b047d
-20964 (base 10) to base 2
-101000111100100
What is 15882b3 (base 13) in base 8?
32336636
29a9061 (base 12) to base 14
1197ac1
-50745 (base 10) to base 11
-35142
What is 26681 (base 11) in base 2?
1001010011000011
Convert 101100111110011101111 (base 2) to base 6.
51331011
Convert 32213303012 (base 4) to base 5.
1440124110
What is -287574 (base 10) in base 3?
-112121110220
What is 206800 (base 10) in base 5?
23104200
-7474a1 (base 12) to base 5
-432300221
Convert 187eb98 (base 15) to base 9.
36555758
243452 (base 8) to base 4
110130222
394210 (base 11) to base 15
c3cb9
Convert -3031300 (base 6) to base 4.
-203030310
What is 315252 (base 7) in base 13?
1bb67
6123132 (base 7) to base 10
728604
Convert -5a768 (base 14) to base 2.
-110101111100111000
Convert 403132201 (base 5) to base 2.
110001010001101010100
What is -13032100223 (base 4) in base 7?
-22044113
Convert 666064 (base 9) to base 11.
252102
What is -276007 (base 8) in base 12?
-48373
-b0795d (base 14) to base 15
-7c422e
-21bbc0 (base 14) to base 16
-117ecc
-116a53 (base 14) to base 10
-594737
Convert 22952 (base 16) to base 15.
2be85
-4432135 (base 6) to base 4
-312032123
What is -102268 (base 9) in base 8?
-166473
115a243 (base 12) to base 10
3356115
Convert -51635 (base 10) to base 11.
-35881
Convert 7801a (base 11) to base 4.
123220010
-6505458 (base 9) to base 10
-3487913
What is -2166027 (base 10) in base 7?
-24260643
Convert -63727 (base 16) to base 11.
-259045
What is 5963c (base 13) in base 7?
1251044
What is -1000030100322 (base 4) in base 8?
-100142072
a7c0 (base 13) to base 6
255525
110102012201 (base 3) to base 4
323222101
-3826e (base 15) to base 11
-112898
1243004 (base 6) to base 11
47139
Convert 9311 (base 16) to base 12.
19955
210102100110 (base 3) to base 11
268849
Convert -100300 (base 7) to base 14.
-6270
Convert -4723621 (base 8) to base 15.
-1a69c1
What is -2a4904 (base 15) in base 7?
-23226031
Convert -125345 (base 10) to base 5.
-13002340
Convert 213202232201 (base 4) to base 12.
357a915
Convert -21421 (base 16) to base 10.
-136225
Convert 1069139 (base 15) to base 7.
201442521
20022210212022 (base 3) to base 16
334d00
Convert 59ac56 (base 15) to base 9.
8056400
Convert -12ba07 (base 15) to base 16.
-dbba7
Convert 4110332 (base 5) to base 8.
201446
Convert -403446 (base 11) to base 7.
-5341226
What is 2002240 (base 6) in base 16?
16e90
Convert -4b48d (base 14) to base 6.
-3543205
What is -66921c (base 14) in base 12?
-11bb44a
Convert 30310101131 (base 4) to base 14.
636605
Convert -22033224 (base 5) to base 12.
-91a1a
-100021220011012 (base 3) to base 5
-2231011414
Convert -36360 (base 12) to base 11.
-4a9a7
What is 1bc394 (base 16) in base 13?
4b9268
-44c8a3 (base 13) to base 6
-54513345
Convert -2030043 (base 6) to base 5.
-11102402
What is 2148751 (base 9) in base 4?
10121320330
Convert -1042247 (base 10) to base 6.
-34201115
What is 163532 (base 10) in base 3?
22022022202
1200004421 (base 5) to base 16
29bb8a
Convert -623569 (base 13) to base 5.
-1041324103
14521513 (base 7) to base 16
151c96
Convert 11299c (base 13) to base 2.
1100011000110001010
d3047 (base 15) to base 4
2203022131
-bcc29 (base 14) to base 15
-90a13
101102001012120 (base 3) to base 12
1a29336
What is 855b16 (base 14) in base 16?
44d368
-86d2ca (base 15) to base 12
-2199201
Convert -301033020 (base 4) to base 13.
-70a43
What is 13ba727 (base 13) in base 12?
2129165
What is -3230230121 (base 5) in base 2?
-11010010000011101011001
Convert 15529 (base 16) to base 4.
111110221
Convert -124110530 (base 6) to base 4.
-21102210312
What is 280392 (base 13) in base 16?
ed3b4
108037 (base 10) to base 5
11424122
-12111121030 (base 4) to base 14
-3131c8
-121011221000 (base 3) to base 11
-1a8343
What is -1210101111221 (base 3) in base 12?
-39b22a
What is 120545020 (base 6) in base 16?
22dc64
What is 1450625 (base 8) in base 13?
11663c
Convert -320010000 (base 4) to base 6.
-4531040
What is 17a889 (base 13) in base 9?
1105637
-1123775 (base 9) to base 11
-384694
What is 371037 (base 8) in base 10?
127519
-5778360 (base 9) to base 8
-13722654
Convert -131a5 (base 16) to base 12.
-39345
212824a (base 11) to base 8
16221217
Convert 33a77aa (base 13) to base 14.
217b32a
2422314220 (base 5) to base 12
1a934a2
What is 4554454 (base 6) in base 5?
24424101
123066 (base 7) to base 14
83a6
2312312201 (base 4) to base 15
ebdab
Convert b01926 (base 12) to base 4.
22130333232
What is 378632 (base 10) in base 11?
239521
What is -23014441 (base 6) in base 16?
-ab6d9
What is 1111011001101001011 (base 2) in base 3?
221122020210
What is 2f9340 (base 16) in base 11?
183a574
What is -118265 (base 10) in base 4?
-130313321
446304 (base 9) to base 15
541e1
-1000111000111000010110 (base 2) to base 3
-11101101100021
Convert 3333232032 (base 4) to base 14.
1d3a10
What is 133be (base 15) in base 11?
42314
Convert 5c5007 (base 16) to base 3.
102101100202122
3000154 (base 8) to base 9
1427833
-340422 (base 7) to base 14
-17d49
-7ba06c (base 13) to base 16
-2cc9f2
What is 132200001 (base 4) in base 14?
33757
What is -550f7c (base 16) in base 13?
-1202447
What is -1233313012 (base 5) in base 12?
-101b1b3
Convert -273af4 (base 16) to base 7.
-30565421
Convert -120200011122002 (base 3) to base 8.
-37614106
Convert 2233012 (base 6) to base 12.
55768
What is 21413042 (base 5) in base 3?
100102022120
What is 3e5475 (base 15) in base 8?
133545 | {
"pile_set_name": "DM Mathematics"
} |
00*sqrt(2) + 7297
Simplify -2*1*(4 + (6*sqrt(192))**2).
-13832
Simplify ((sqrt(832) + sqrt(832) + sqrt(832) + -2 + sqrt(832))*-3*-5*-6)**2.
-1036800*sqrt(13) + 107859600
Simplify (sqrt(209) - -6*(sqrt(209) - (sqrt(209)*5 + sqrt(209))) - sqrt(209))/(sqrt(1100) + sqrt(1100)*3).
-3*sqrt(19)/4
Simplify (5*(sqrt(304) + -4*-1*sqrt(304) + 1 + sqrt(304) + -1))**2.
273600
Simplify 0 + (sqrt(84)/sqrt(3)*3)/(sqrt(4) - sqrt(4)*-1*3).
3*sqrt(7)/4
Simplify (((sqrt(80) - sqrt(80)*4)/sqrt(5))/sqrt(8) - (sqrt(400) + (sqrt(400)*-1 - sqrt(400)) - sqrt(400) - sqrt(400))/sqrt(8))**2.
288
Simplify ((-1*sqrt(17))**2*4 - ((sqrt(2057) + 2 + sqrt(2057))**2 + sqrt(17)))*-5 + 5.
445*sqrt(17) + 40825
Simplify 1 + sqrt(200) + sqrt(2)*2 + 5 - sqrt(6)/(1*sqrt(147)).
6 + 83*sqrt(2)/7
Simplify (-6*-2*sqrt(384) + sqrt(384) - sqrt(384))/(-2*sqrt(2352)).
-12*sqrt(2)/7
Simplify (-4 + (3*sqrt(119)/sqrt(7) - (sqrt(51)*2 + sqrt(51))/sqrt(3)))**2.
16
Simplify (-1 + 4*(0 + sqrt(117))*-3*-3)**2.
-216*sqrt(13) + 151633
Simplify 0 + (sqrt(605) + sqrt(605) + 3 - sqrt(605)) + 2 + -4.
1 + 11*sqrt(5)
Simplify (3 + sqrt(3) + sqrt(3) + (-1*sqrt(12)/sqrt(4) - sqrt(3)) + sqrt(108) + -2)**2.
12*sqrt(3) + 109
Simplify 4 + (3*((1*sqrt(85) - sqrt(85)) + sqrt(85)) - sqrt(85))/(sqrt(5) - sqrt(45)/sqrt(36)).
4 + 4*sqrt(17)
Simplify (sqrt(288) + sqrt(288)*1)/(1*sqrt(81)) - ((sqrt(2)*-1*-4 - sqrt(24)/(1*sqrt(12)))*-3)**2.
-162 + 8*sqrt(2)/3
Simplify (6*sqrt(3388)*-2)/(sqrt(324)*-1*1).
44*sqrt(7)/3
Simplify -2 + ((sqrt(252)*-1*-6 - sqrt(252))/((sqrt(12) - (sqrt(12) - (-1*sqrt(144))/sqrt(12)))/sqrt(3)))**2.
1573
Simplify (-6*(5*(sqrt(15) + sqrt(1500)))/(sqrt(500)*2))**2.
3267/4
Simplify ((-2*(sqrt(612) + 1) - (sqrt(612) + -2*sqrt(612) + -1)) + 4 + sqrt(612) + sqrt(612)*-2 + sqrt(612) + -5*(1 + sqrt(612)))**2.
144*sqrt(17) + 22036
Simplify -4*(-6*(sqrt(204) + sqrt(204) + (sqrt(204) - (sqrt(204)*1 + sqrt(204))) + sqrt(204) + sqrt(204)))/(sqrt(96)/sqrt(200)).
360*sqrt(17)
Simplify (5*(sqrt(187) - 2*sqrt(187)) - sqrt(187))/((sqrt(33)*2 + sqrt(33))/sqrt(3))*-3.
6*sqrt(17)
Simplify 5 + (sqrt(1911)*-2 + sqrt(1911))/(sqrt(3)*-3*2).
7*sqrt(13)/6 + 5
Simplify -4 + (-5*(sqrt(117) - sqrt(117)*-1*-3))/(sqrt(18)/(-2*sqrt(2) - sqrt(2))*-1).
-4 + 30*sqrt(13)
Simplify (0 + -2 + ((sqrt(1539) + sqrt(1539)*-1 + sqrt(1539))*-2 - sqrt(1539)))*-5*1.
10 + 135*sqrt(19)
Simplify (-5*sqrt(102)*-2 - (sqrt(102) + (sqrt(102)*-2 - sqrt(102)) + sqrt(102) + sqrt(102) - sqrt(102))*-3)/(sqrt(36)/(1*sqrt(18)/sqrt(3))).
7*sqrt(17)
Simplify (sqrt(147) - (sqrt(147) + -5*(sqrt(147) + 0))) + 2 - (0 + (sqrt(147) + sqrt(147)*-1)**2 + -1).
3 + 35*sqrt(3)
Simplify (-3*(5*(0 + sqrt(1700)) - sqrt(1700))*-4)**2*5*5.
97920000
Simplify -1*(5 + (sqrt(2) - (sqrt(2)*1 + -5))) + -1.
-11
Simplify -6*sqrt(99)/(sqrt(72)/(1*sqrt(8)))*-2*2.
24*sqrt(11)
Simplify sqrt(110)/(sqrt(30)/sqrt(3)) - ((-2*sqrt(88))/sqrt(8))**2 - ((sqrt(110)*-2*-3)/sqrt(10))**2.
-440 + sqrt(11)
Simplify (sqrt(162) - (sqrt(162) + sqrt(162)*-1))/(sqrt(144)*1) + (-1*((sqrt(200) - (0 + sqrt(200)*1)) + sqrt(200)))**2.
3*sqrt(2)/4 + 200
Simplify (-4 + sqrt(1700) + sqrt(1700) + 1 + -2)*5 + 5.
-20 + 100*sqrt(17)
Simplify (2*sqrt(96))/(sqrt(18)*6).
4*sqrt(3)/9
Simplify ((2*sqrt(104)*3 - sqrt(104)) + sqrt(104)*2*-3)/(1*sqrt(128) - sqrt(64)/(sqrt(8) + sqrt(24)/sqrt(3))).
-2*sqrt(13)/7
Simplify (1*2*sqrt(104))/(sqrt(24)/sqrt(12) + sqrt(8)) - (-2 + 5*(sqrt(637) + 0 + sqrt(637)))**2.
-63704 + 844*sqrt(13)/3
Simplify (-2 + 3*(sqrt(468) - 5*sqrt(468)*1 - (3 + sqrt(468) + -5)))**2.
-720*sqrt(13) + 105316
Simplify (-3 + (sqrt(162)/(sqrt(6) - sqrt(6)*-2))/((sqrt(27)/sqrt(3) + sqrt(9))*-1) + -2)**2.
5*sqrt(3)/3 + 301/12
Simplify (sqrt(12) - (-6*sqrt(300) + sqrt(12) - sqrt(12)) - sqrt(12))/sqrt(4) + (5 + 2 + sqrt(12))**2.
61 + 58*sqrt(3)
Simplify (0 + sqrt(275) + 1 + 3 + 1)**2.
50*sqrt(11) + 300
Simplify ((sqrt(272) - (sqrt(272) + 1*sqrt(272) + sqrt(272))*5) + -3 - (sqrt(272) + sqrt(272) + sqrt(272)*-1 + 5)*-4)**2.
-1360*sqrt(17) + 27489
Simplify (-2*sqrt(882)*-5)/((sqrt(162)/(sqrt(36)/sqrt(4)))/sqrt(2)).
70*sqrt(2)
Simplify -3 + (sqrt(343) + 2 + -1 + sqrt(343) + 5*(sqrt(343) + -1))**2.
-392*sqrt(7) + 16820
Simplify (sqrt(21)/(6*sqrt(75)) + -4 + 4*sqrt(7) + -4)**2.
-968*sqrt(7)/15 + 160087/900
Simplify (-4 + ((sqrt(1053) + (sqrt(1053)*-4 + sqrt(1053) + sqrt(1053) + sqrt(1053))**2)*1 - (sqrt(1053) + -1 + sqrt(1053) + sqrt(1053))**2*4))*-3.
-675*sqrt(13) + 110589
Simplify 0 + -3*(-1 + sqrt(153))**2 - -3*(0 + sqrt(153) + -5 + sqrt(153))**2.
-162*sqrt(17) + 1449
Simplify (-1*(2 + -4 + (sqrt(396)*-2 - sqrt(396))*4))**2.
288*sqrt(11) + 57028
Simplify (-1 + (sqrt(75) + -5 - -2*sqrt(3)*-1)**2 + -1)*-6.
-300 + 180*sqrt(3)
Simplify 3*(-2 + sqrt(208) + 3 + sqrt(208))**2*-3 + -5.
-7502 - 144*sqrt(13)
Simplify (sqrt(3264) + -6*sqrt(3264)*2)/(sqrt(297)/sqrt(275)).
-440*sqrt(17)/3
Simplify (-5 + (-2*(sqrt(1053) + (sqrt(1053) - sqrt(1053)*2)) - (((sqrt(1053) + -5*sqrt(1053))*-6 - sqrt(1053)) + sqrt(1053) - sqrt(1053))))**2.
2070*sqrt(13) + 557062
Simplify (3*(sqrt(5) + (sqrt(5) - (sqrt(5) + (sqrt(45) - sqrt(5)))**2)) - (1 + sqrt(20)/sqrt(4))) + -2 + (sqrt(20)/sqrt(4) - sqrt(5)) + -5.
-143 + 5*sqrt(5)
Simplify 5*sqrt(85)/sqrt(5) + -2 - (5 + sqrt(17) + (sqrt(17) + 3 + (sqrt(17) - 2*sqrt(17)))**2).
-16 + 4*sqrt(17)
Simplify ((1 + 5 + sqrt(19)*-1)*1 + -3 + sqrt(2299) + 2*sqrt(2299)*5)**2.
720*sqrt(19) + 273609
Simplify (4*sqrt(220)/sqrt(4))/(sqrt(5) + (sqrt(245) - sqrt(245)*3) + sqrt(5)).
-sqrt(11)/3
Simplify ((6*(1 + sqrt(325)))**2 + 5)*-1.
-11741 - 360*sqrt(13)
Simplify -5 + (sqrt(20) + sqrt(500)*3)/(sqrt(10) + (sqrt(1210) - sqrt(1210)*2)).
-5 - 8*sqrt(2)/5
Simplify 4 + (sqrt(180) + 0)**2 + 2*(sqrt(500) + -3).
20*sqrt(5) + 178
Simplify (-3*-2*-2*sqrt(1377) - (-2*(sqrt(68) + sqrt(68)*-2))/(sqrt(4)*2*1))**2.
201977
Simplify sqrt(17) + (1*sqrt(119))/sqrt(7) + (4*sqrt(153))**2 + ((sqrt(1088) + 0)*-4)**2.
2*sqrt(17) + 19856
Simplify (0 + -1 + sqrt(396) + (-1 + sqrt(88)/sqrt(8))*2)**2*2.
-96*sqrt(11) + 1426
Simplify (1*(2 + sqrt(176)) + 1 + 2*sqrt(176) + -3)**2.
1584
Simplify (((6*((2*sqrt(360) - sqrt(360)) + sqrt(360) + sqrt(360)) + sqrt(360))/sqrt(8) + -5 + 2*sqrt(405))*-5)**2.
-18750*sqrt(5) + 703750
Simplify sqrt(972) + 5*(1 + sqrt(972)) + sqrt(972) - (sqrt(288)/sqrt(128))/((1*sqrt(120))/sqrt(10)).
5 + 503*sqrt(3)/4
Simplify (3*(-4 + -3 + sqrt(931)))**2 - (1*sqrt(931)*1 - (sqrt(931) + sqrt(931) + (4 + sqrt(931) + 1 - sqrt(931))))**2.
-952*sqrt(19) + 7864
Simplify (1*sqrt(171)*6 - 6*-1*sqrt(171))/((sqrt(441) + (sqrt(441) - (sqrt(441) + (sqrt(441) - -1*sqrt(441) - sqrt(441)))) + sqrt(441))*-5).
-12*sqrt(19)/35
Simplify (-4*(4*(sqrt(162) - -4*sqrt(162)) - (1*-2*sqrt(162) - sqrt(162))))**2.
1371168
Simplify (((sqrt(63) - (sqrt(252) + sqrt(63)))/sqrt(3)*2)/((sqrt(7) - 5*((sqrt(7) - sqrt(7)*-2) + sqrt(7))) + sqrt(63)/sqrt(81)))**2.
27/196
Simplify (-1 + -1 + (sqrt(176) + 0 + -4)*-3)**2*5.
-1200*sqrt(11) + 8420
Simplify ((sqrt(144) - (-1*sqrt(144) + sqrt(144)))/sqrt(6))/(sqrt(800) + sqrt(800) + sqrt(800) + sqrt(800)*-1).
sqrt(3)/20
Simplify 1 + (-2 + sqrt(1088))**2 + 1 - (-6*(sqrt(1088) - -1*sqrt(1088))**2 - (-5 + (sqrt(1088) + -2 - sqrt(1088)))**2).
-32*sqrt(17) + 27255
Simplify (5*(sqrt(931)*3 + -1)*-6)**2*5.
-189000*sqrt(19) + 37710000
Simplify -2*(-2*sqrt(25)*-6)/(sqrt(245)*-1 + sqrt(245) - sqrt(245) - sqrt(245)).
12*sqrt(5)/7
Simplify (5 + -3*sqrt(272) + -5 + 1)**2.
-24*sqrt(17) + 2449
Simplify 2 + (3*1*sqrt(52)*1)/(sqrt(20)/sqrt(5)*-1*-4).
2 + 3*sqrt(13)/4
Simplify (-1 + sqrt(20)/sqrt(4) + -2 + 2*sqrt(720)*1)**2.
-150*sqrt(5) + 3134
Simplify (sqrt(1584) + -6*(sqrt(1584)*-2 - sqrt(1584)))**2 + (-2*sqrt(88))/sqrt(8) + 5.
-2*sqrt(11) + 571829
Simplify (((sqrt(153)*1 - sqrt(153))*-5)/(sqrt(72)/sqrt(2)) - (sqrt(272) + 4*(sqrt(272) + 2*sqrt(272)))*6)**2.
1654848
Simplify (sqrt(448) + ((sqrt(448) + 1 - sqrt(448)) + -5 - sqrt(448)) - (-5*(2 + sqrt(448)))**2)*-1*-5.
-56520 - 4000*sqrt(7)
Simplify ((sqrt(320)*1 + sqrt(320))*1)/(sqrt(24)/(sqrt(36)/(1*sqrt(6))))*6.
48*sqrt(5)
Simplify -5 + ((-3*(sqrt(567) + 0))**2 - (sqrt(14)/(sqrt(288)*2 + sqrt(288) + sqrt(288) + sqrt(2)))**2).
1748613/343
Simplify (-2*(sqrt(5) + 1 + -5 + sqrt(5)) - sqrt(10)/(sqrt(6)/(sqrt(15)/sqrt(5))))**2.
-80*sqrt(5) + 189
Simplify (-4*(-3 + (sqrt(684) + -2)*-3))**2.
- | {
"pile_set_name": "DM Mathematics"
} |
the second smallest value? (a) 4 (b) 0 (c) q
b
Let u be (-50)/(-12)*3798/1055. Which is the second biggest value? (a) 1 (b) -14 (c) 3 (d) -0.5 (e) u
c
Let m = 3962 + -3949. What is the second smallest value in 0.03, -3, m?
0.03
Let g = -0.1 - 0. Suppose 553 = 9*k + 3370. Let d = -301 - k. Which is the second biggest value? (a) g (b) 0.1 (c) d
b
Suppose 15*p = 10*p - 5*g + 150, 0 = -p + 2*g + 36. Which is the second smallest value? (a) 5 (b) 1/3 (c) p
a
Let j be (-2)/39*3 - 4488/1248. Which is the second biggest value? (a) -0.3 (b) -2/117 (c) j
a
Let s = -15853 - -380471/24. Which is the biggest value? (a) 4 (b) 3 (c) -2 (d) s
a
Let t = 4322 - 739064/171. Let a = -328/1197 + t. What is the third biggest value in a, 0, -13?
-13
Let x(d) = d**3 - 8*d**2 + 4*d + 15. Let v be x(7). Let i = 75 + -44. Let u = -30.7 + i. Which is the second biggest value? (a) v (b) u (c) 0.4
b
Let j = 192 - -129. Let b = -306 + j. Let q = -12/35 - 2/35. What is the second biggest value in q, b, -5?
q
Let i = -8068.9 + 8069. Which is the smallest value? (a) i (b) -0.2 (c) -36 (d) 0.4
c
Let j = 80 - 78. Let p = -2 - 1. Let m = -0.4 - -0.9. Which is the fourth biggest value? (a) j (b) p (c) m (d) -0.2
b
Let i = -3 + 0. Let t = -125986 + 125986.3. Which is the fourth smallest value? (a) -20/3 (b) t (c) i (d) 5
d
Let k be ((-54)/63)/(3/(-14)). Let q be (-7)/(-2) + k/(-4)*2. Let a = 18 + -20. What is the biggest value in 0.3, 0.4, q, a?
q
Let v = 8.391 - -1.609. Let y = 13.7 + -18.7. Which is the third biggest value? (a) -2 (b) -2/23 (c) v (d) y
a
Let d be (-4 + (-511)/(-90))/(16/(-20)). Let l = d + 15/8. What is the smallest value in -2, l, -1, 4?
-2
Suppose 78*d - 33 = 67*d. Suppose 5*s + 3*n = -40 + 30, 0 = d*s - n + 20. What is the third biggest value in -0.08, -2/3, s?
s
Let q = -7182 + 7179. Which is the fourth smallest value? (a) -1 (b) 3 (c) 1/6 (d) 3/2 (e) q
d
Let s = -1388 + 1387.5. Let w = -11.1 + 11. Let d = 2.5 - 2. What is the fourth biggest value in 2/5, w, s, d?
s
Suppose 32 = 2*p - 4*t, 24 = -23*p + 25*p - 2*t. Let k(j) = -11*j + 92. Let i be k(p). Let u = 1.5 - 1. Which is the third biggest value? (a) u (b) i (c) -9
c
Let q(k) = k**3 + 10*k**2 + 342*k + 2980. Let p be q(-9). Let l = -0.58 - 5.82. Let f = 6 + l. Which is the second smallest value? (a) -1/3 (b) p (c) f
c
Suppose 0 = 3*i - 4*q - 47, 144*i - 148*i - 3*q - 54 = 0. Let l = -3 - -2.5. What is the third biggest value in l, i, -2/11?
i
Let m = -1549 + 1546. Which is the smallest value? (a) 1/5 (b) m (c) 0.228
b
Let q = 21 + -20.78. Let y = q + -0.02. Let n = -309 - -312. Which is the second smallest value? (a) n (b) y (c) -1/3
b
Let h = -102 - -66. Let p be ((h/(-8))/1)/((-105)/(-28)). What is the third biggest value in 3, -3, p?
-3
Let y = 19 + -16. Let g = 7994 + -7992. What is the second smallest value in g, -0.11, -0.3, y?
-0.11
Let g = -3 - -3.3. Let z = 0.065 - 0.065. Let l(h) = -27*h + 102. Let b be l(4). What is the third biggest value in -0.1, g, b, z?
-0.1
Let p = -830/23 - -1683/46. Let m be (-6)/21 + (-26)/(-42). Which is the third smallest value? (a) -1 (b) p (c) 1 (d) m
b
Let y = 0.189 + 4.111. Let t = 0.7 + y. Let o = -926/11 + 84. Which is the third smallest value? (a) o (b) 2 (c) t
c
Let h(q) = 2*q + 0 + 2 - q. Let j be h(0). Let z = 1122/65 - 214/13. Which is the fourth smallest value? (a) 3/2 (b) j (c) z (d) -5/6
b
Suppose -10 = -7*s - 38. Let p be (s + (-13)/(-2))*18/105. Let v = 0 + 2. Which is the third smallest value? (a) v (b) -4 (c) p (d) 0.4
c
Let y be (2/24)/((-2071)/(-114) + -18). What is the third smallest value in -5/22, y, 2, 0.2?
y
Suppose 35*t - 7593 = -17*t - 1977. What is the second smallest value in -0.48, t, 2/7?
2/7
Let r = -0.05932 + 0.45932. Which is the smallest value? (a) -1 (b) -2 (c) 0.1 (d) r (e) 3/2
b
Let c be (19057021/18)/(100/15). Let k = c - 158798. Let v = 83/8 - k. What is the second smallest value in v, -1/3, -3/7?
-1/3
Let n = 6.2 - 1.2. Let t = -427 - -467. Suppose -3*b - 3*r - 2*r = 40, t = -4*b - 4*r. What is the fourth smallest value in -1/3, 0.5, n, b?
n
Let i = 39.68 + -40. Let r = i - 20.68. Let d = -23 - r. Which is the second smallest value? (a) d (b) 3 (c) -1/11
c
Let w(u) = u**2 - u - 4. Let s be w(7). Let f be s/84 - 2/7. Let h = 110.2 - 110. Which is the second smallest value? (a) f (b) -4 (c) h (d) 9
a
Let v(k) = 7 - 4*k**3 - 6*k + 5 + 5*k**2 + 5*k**3. Let w be v(-6). Suppose 37 = 5*m + w. What is the second biggest value in -3, -4/7, m?
-4/7
Let m = 619.5 - 627.5. What is the third biggest value in -3/10, m, -1/4?
m
Let r = 15 + 18. Let n be (-340)/(-112) + -2 - r/44. Let w be 3/(-1 - 2) + 2. What is the smallest value in n, 0.1, -2/3, w?
-2/3
Suppose 3*o - 7*c + 108 = -10*c, 0 = o - c + 28. Let i be (o/(-20))/(-2)*1/4. What is the biggest value in -5, 3, -0.11, i?
3
Let n = -5353 - -5352.8. What is the third smallest value in -29, 6, n, 0.2?
0.2
Let z = -831.4 + 831.8. What is the fourth smallest value in 0.15, 1/2, z, -4?
1/2
Let l(i) = -2*i**3 + 18*i**2 + 3*i + 8. Let c be l(10). Let y = c + 160. What is the fourth smallest value in -0.3, 2, y, -0.2?
2
Let k = -395 + 3553/9. Let q = -122 + 150. What is the third biggest value in q, -5, -3, k?
-3
Let i = -2 - -1.5. Let g = 7858/7 + -1123. Which is the biggest value? (a) i (b) 65 (c) g
b
Let c = 7.45 + -71.45. What is the second biggest value in 3, c, 2/5?
2/5
Let i = 261/7 + -37. Let m be (18/30)/((59 - 58) + (-2)/20). What is the second smallest value in 0.1, -4, m, i?
0.1
Suppose 2*a = 10 - 2. Suppose -6*j = 5 - 203. What is the second smallest value in a, j, 1/4, -5?
1/4
Suppose 0 = 54*g - 48*g - 6. Let j = 4 + 9. Let l = -13 + j. Which is the third biggest value? (a) 2 (b) g (c) l
c
Let x = -23118 - -23117.9. What is the second biggest value in x, 3, -18, 4?
3
Let k = -690 - -687. Let g = 1/1248 - -11/96. Which is the smallest value? (a) k (b) -1 (c) g
a
Suppose -28*x + 22*x = -990. Let n be 4/(-22) + ((-126)/x)/(-2). Which is the second biggest value? (a) 2 (b) -0.2 (c) n (d) -1/7
c
Let z be (8/10)/4 - 1214/(-1530). Let o = -15/17 + z. Which is the smallest value? (a) -0.1 (b) -12/11 (c) o
b
Let u be 15/140*21/6. Let t = 3.93 - 3.9. Let a = 1.4 - 6.4. What is the second smallest value in a, u, t, -0.2?
-0.2
Let q = -151 - -169.5. Let o = 24.5 - q. What is the second biggest value in -2, o, -1/2, 5?
5
Let p be (-5)/(-2) + (140/(-40) - -4). Let q be 1*(-5 - -9)/28. Which is the second smallest value? (a) 4/5 (b) -0.4 (c) p (d) q
d
Let m = 0.15126 + -0.05126. Which is the second biggest value? (a) -8 (b) m (c) -1.78
c
Let b be ((2 + -3)*-353)/3. Let p = -117 + b. Suppose -1 = x - 0. What is the smallest value in x, p, 4, 1/7?
x
Let n = 1424/5 - 284. Let b = -2024161/9 + 225156. Let i = b + -249. What is the fourth biggest value in -1/6, -3, i, n?
-3
Let p = -0.8 + 0.4. Suppose 14 = -150*m + 143*m. Let s be 0 + (3 + m - -4). What is the smallest value in p, -5, s, -4?
-5
Let d be ((-32)/(-320))/((-1)/(-906)). Let y = -90 + d. Which is the third biggest value? (a) -0.05 (b) 3 (c) y
a
Let w = 323.5 - 323. Let k = 17.26 - 2.26. What is the second biggest value in k, w, -0.5, 4?
4
Let s = 3.2 + -4.66. Let x = 0.54 - s. What is the third biggest value in 3, 0.5, 0.1, x?
0.5
Let w = 0.25904 - -0.04096. What is the second biggest value in 763, w, 2?
2
Suppose 0 = 4*y + 5*f - 35, -4*y + 29 = 5*f - 2*f. Which is the smallest value? (a) 2/13 (b) y (c) 3/7 (d) -1/6
d
Let g = -16.09 + 15.69. What is the fourth biggest value in g, 3/7, 5/2, -34, -5?
-5
Let v = 175.5 + -91. Let n = -107 + v. Let d = n - -22. Which is the second smallest value? (a) d (b) -1/69 (c) 4
b
Let r = -1970 + 9854/5. Let j = -42.5 + 46. Which is the fourth biggest value? (a) 0.5 (b) r (c) j (d) -2/5
d
Let y be ((-17)/102 - 205/(-510))/2. What is the third smallest value in y, 0.14, -0.24?
0.14
Let d = -95/6 - -2173/138. Let q = 323.963 - 324. Let v = -3.037 - q. What is the second biggest value in -4, d, v, -5?
v
Let s be 4 + (-1 - 1) + -2. Suppose 4*v = -3*f - 4, s*v = 4*f + 3*v + 10. Let w = -4 - 1. Which is the biggest value? (a) w (b) f (c) -0.2 (d) -0.1
d
Let l = -3964331/549 - -7221. | {
"pile_set_name": "DM Mathematics"
} |
*y + 40*y - 13*y for y.
12
Solve -12*b - 23*b = -2585 + 1535 for b.
30
Solve 55*r - 979 = 114 - 213 for r.
16
Solve -49*i - 205 = 350 - 114 for i.
-9
Solve 52*w - 199*w = 113*w + 7020 for w.
-27
Solve -16*z + 15*z = -68*z - 1005 for z.
-15
Solve -77*v - 1061 = -830 for v.
-3
Solve 0 = 45*i - 92*i + 282 for i.
6
Solve 167*p - 20 = 165*p for p.
10
Solve -1960*d + 7 = -1967*d for d.
-1
Solve 0 = 11*k + 16*k - 4*k + 322 for k.
-14
Solve -42*i + 12259 = 12301 for i.
-1
Solve -9*n = -26*n - 43*n - 840 for n.
-14
Solve 0 = 74*i + 9556 - 8668 for i.
-12
Solve 684*c + 9021 + 555 = 0 for c.
-14
Solve 1162 = -260*l + 19*l - 2212 for l.
-14
Solve -16*f - 154 = -21*f - 72*f for f.
2
Solve 101*r - 2494 + 676 = 0 for r.
18
Solve -91*o = -547*o - 11*o + 8873 for o.
19
Solve 0 = 507*v + 30448 - 40588 for v.
20
Solve 2*q + 15706 - 15730 = 0 for q.
12
Solve 13 - 1042 = 20*r - 69*r for r.
21
Solve -238*x + 320*x - 246 = 0 for x.
3
Solve -49*n + 64*n = -50*n + 130 for n.
2
Solve 531 = 32*k - 91*k for k.
-9
Solve 71*n + 4048 = 32*n + 292*n for n.
16
Solve -134*i + 480 = -185*i - 132 for i.
-12
Solve -16644*t - 12 = -16646*t for t.
6
Solve -237*j + 796*j - 6708 = 0 for j.
12
Solve 180*h + 101*h - 32*h - 4482 = 0 for h.
18
Solve 119*j + 22*j - 1782 = -21*j for j.
11
Solve 289*d + 30*d = 20*d - 2691 for d.
-9
Solve 105*g + 3*g = -93*g - 1407 for g.
-7
Solve -366 = 3*t - 381 for t.
5
Solve -74*z - 755 = 135*z - 2218 for z.
7
Solve 0 = -37*y + 213 + 342 for y.
15
Solve -123*o - 1204 = 764 for o.
-16
Solve 185*f = 47 - 1342 for f.
-7
Solve 9*f - 1461 + 1497 = 0 for f.
-4
Solve 17*v + 559 = 58*v - 220 for v.
19
Solve -126*z - 104*z = -213*z - 442 for z.
26
Solve 0 = 152*g - 75*g - 616 for g.
8
Solve 69*d - 21*d = -37*d - 510 for d.
-6
Solve 0 = -68*q + 47*q - 63 for q.
-3
Solve -15*m + 86 + 96 = 182 for m.
0
Solve 0 = 20565*y - 20552*y - 416 for y.
32
Solve -145*r = -450*r - 6405 for r.
-21
Solve 353*u - 234*u = -1428 for u.
-12
Solve 25*y + 416 = -446 + 162 for y.
-28
Solve -89*u + 736 = 1524 + 1081 for u.
-21
Solve -10*d = -68*d - 760 + 64 for d.
-12
Solve -33*s - 133 = -3*s - 11*s for s.
-7
Solve -91*r = r + 45*r - 2740 for r.
20
Solve -580*a + 870*a = 5220 for a.
18
Solve 1303*n = 1335*n + 47 + 17 for n.
-2
Solve 0 = -109*r + 985 + 661 - 229 for r.
13
Solve 0 = 34*r - 1949 + 2459 for r.
-15
Solve 55*s - 91*s = -576 for s.
16
Solve -44*n - 805 = 34*n - 259 for n.
-7
Solve 21 = 64*z + 277 for z.
-4
Solve -128*r - 1054 = 2018 for r.
-24
Solve -160*w = -41*w - 44 - 3288 for w.
28
Solve -495 = 251*h - 244 for h.
-1
Solve 8*v + 16*v + 23 = -217 for v.
-10
Solve 2350*w - 2297*w = 583 for w.
11
Solve -1917*g + 1768*g = 1639 for g.
-11
Solve -445*v + 479*v = -408 for v.
-12
Solve -262 + 2112 = 22*y - 96*y for y.
-25
Solve 198 = -9*k - 16*k - 41*k for k.
-3
Solve -920 = 141*x - 95*x for x.
-20
Solve 722*c + 4743 = 195*c for c.
-9
Solve -12*m = -24*m + 192 for m.
16
Solve -30*d + 260 = 119 - 219 for d.
12
Solve -3*m + 252 = -19*m - 47*m for m.
-4
Solve 444*y = 374*y - 350 for y.
-5
Solve 42*n - 1000 - 1106 = -120*n for n.
13
Solve 0 = -715*u - 32*u + 5976 for u.
8
Solve -374 = 106*a - 120*a + 46 for a.
30
Solve -284 = -52*g + 272 + 16 for g.
11
Solve -1793*w = -1814*w for w.
0
Solve -403*v + 18239 = 390*v for v.
23
Solve 153*c - 340*c - 269*c = -4104 for c.
9
Solve -271*v + 807 = -6 for v.
3
Solve -2*u + 180*u + 28*u - 618 = 0 for u.
3
Solve -10*w - 10*w + 94 - 54 = 0 for w.
2
Solve -159*y - 967 = -39*y + 833 for y.
-15
Solve 638 = 440*m - 498*m for m.
-11
Solve -15*h + 8 = -34*h - 30 for h.
-2
Solve -95*o = 201 + 179 for o.
-4
Solve -484*p + 755*p - 7317 = 0 for p.
27
Solve 36*w = -64*w - 46 + 446 for w.
4
Solve -52650*f = -52661*f + 121 for f.
11
Solve -17*l - 300 = -11*l + 14*l for l.
-15
Solve -16*q - 38 = -q + 142 for q.
-12
Solve -2168 = -204*w - 99 - 233 for w.
9
Solve -7*d = -66 - 6 + 9 for d.
9
Solve 61*u - u = 240 for u.
4
Solve -247*h = -5*h + 4356 for h.
-18
Solve -161*s + 80 + 48 = -129*s for s.
4
Solve 4418*h + 6810 = 4645*h for h.
30
Solve -9024 = 964*i - 682*i for i.
-32
Solve 3176 = 15*j + 3476 for j.
-20
Solve -235*h = -3794 - 1083 - 293 for h.
22
Solve -565 = 16*p - 293 for p.
-17
Solve -130 - 194 + 144 = 12*y for y.
-15
Solve 388 = 214*c - 596 - 728 for c.
8
Solve -3964*f + 3986*f = 88 for f.
4
Solve 218 = -28*c - 118 for c.
-12
Solve -112 = 915*c - 943*c for c.
4
Solve -633 - 87 = -176*n + 160 for n.
5
Solve 1941*y + 624 = 1917*y for y.
-26
Solve -39*c - 349*c = 1530 - 4246 for c.
7
Solve 403*v = 1703 + 3106 + 1236 for v.
15
Solve 0 = -169*d + 1203 + 57 + 430 for d.
10
Solve -27*q - 709 = -655 for q.
-2
Solve -30*x = 36 + 54 for x.
-3
Solve 88*f + 202 - 1456 = 1826 for f.
35
Solve 126*l = 344*l - 1962 for l.
9
Solve -46 + 68 = -9*r + 67 for r.
5
Solve -115*z + 6678 = 256*z for z.
18
Solve -13*l + 14373 = 14347 for l.
2
Solve 40*u + 102 = -18 for u.
-3
Solve 0 = -163*o - 175*o + 314*o + 552 for o.
23
Solve 20*c - 2697 = -2977 for c.
-14
Solve -29*j + 132*j - 771 = 362 for j.
11
Solve 188*t + 692*t - 236*t + 23184 = 0 for t.
-36
Solve 173 = -40*n + 372 + 561 for n.
19
Solve 314*n - 3375 = 449*n for n.
-25
Solve -157*f - 1968 - 2387 = -430 for f.
-25
Solve -86 - 49 = -27*x for x.
5
Solve 3595 - 3364 = -11*n for n.
-21
Solve 3179 = -174*d - 55*d + 42*d for d.
-17
Solve 0*d = 15*d + 3*d + 162 for d.
-9
Solve 8*y - 12*y = -3*y - 9 for y.
9
Solve -984 = -1640*d + 1886*d for d.
-4
Solve 0 = -101*d + 53*d - 240 for d.
-5
Solve -143*h - 204 = 82 for h.
-2
Solve -1082*d + 1171*d = 0 for d.
0
Solve -86*r = -r - 1530 for r.
18
Solve -3*s + 10 = 32 - 16 for s.
-2
Solve -66*c = 229 + 497 for c.
-11
Solve 237*f + 471 - 4263 = 0 for f.
16
Solve -86*v - 355 = 419 for v.
-9
Solve 12*j - 92691 = -92595 for j.
8
Solve -40572 = 889*z + 1043*z for z.
-21
Solve -145*v - 180 = -325*v for v.
1
Solve -30*i + 35 = 101 - 6 for i.
-2
Solve 87*f + 73*f - 1105 = 75*f for f.
13
Solve 58*f = -55*f + 142 + 1214 for f.
12
Solve 47*q - 313*q - 2692 = -830 for q.
-7
Solve -12*t + 65 = 77 for t.
-1
Solve -72 = -168*h + 506 + 262 for h.
5
Solve -311*b = -360*b - 539 for b.
-11
Solve -1592*r = -1602*r + 30 for r.
3
Solve 31*b - 54*b = -314 + 38 for b.
12
Solve -34*t + 73*t = 117 for t.
3
Solve 980*n - 985*n = 0 for n.
0
Solve 102*b - 49*b + 490 = -17*b for b.
-7
Solve 72*b = -0*b - 27*b - 693 for b.
-7
Solve 33 - 26 - 167 = 8*p for p.
-20
Solve 189*y + 101 + 963 = 56*y for y.
-8
Solve 12 = -19*r - 197 for r.
-11
Solve 14*f - 22668 = -22514 for f.
11
Solve 0 = -106*f + 243 + 393 for f.
6
Solve 29*b - 2762 + 2733 = 0 for b.
1
Solve 0 = 18*d - 4*d + 11*d + 425 for d.
-17
Solve 200*z + 2097 - 2697 = 0 for z.
3
Solve 486*b = 307*b for b.
0
Solve -103*m - 1968 = 50*m - 30*m for m.
-16
Solve -130*o - 94 - 88 = 598 for o.
-6
Solve 16 + 6 = -7*d + 1 for d.
-3
Solve 4*g - 167302 + 167378 = 0 for g.
-19
Solve 136*g = 154*g - 306 for g.
17
Solve 62*f - 320 - 47 = 191 for f.
9
Solve 0 = -1212*f + 1213*f - 4 for f.
4
Solve 417854*n + 37 - 187 = 417848*n for n.
25
Solve -166 - 102 = -3*r - 199 for r.
23
Solve -11*x - 23*x - 15*x = -13*x for x.
0
Solve -1004 + 238 = -383*t for t.
2
Solve -937*l - 1584 = -1036*l for l.
16
Solve -17*z - 37*z + 1620 = 36*z for z.
18
Solve 0 = 24*g + 8*g - 224 for g.
7
Solve -6*k = -395 + 347 for k.
8
Solve -2698*h + 2709*h = 73 + 48 for h.
11
Solve -188 = 32*n - 96*n + 388 for n.
9
Solve 17*u + 18474 = 18508 for u.
2
Solve 0 = -241*l + 310*l - 621 for l.
9
Solve -193 + 8 = 58*k - 1403 for k.
21
Solve 736 = -990*m + 958*m for m.
-23
Solve 1860 = -191*p - 1387 for p.
-17
Solve 233*j + 478 - 314 = 2960 for j.
12
Solve 204*i + 388 + 1328 + 732 = 0 for i.
-12
Solve 236*o - 52*o + 59*o + 2916 = 0 for o.
-12
Solve 1023 = 101*u + 398 - 2001 for u.
26
Solve 0 = -91*f + 124*f + 330 for f.
-10
Solve -452 = -10*q - 662 + 350 for q.
14
Solve -283 = -129*d + 1523 for d.
14
Solve -142*v + 547*v + 2657 = 9137 for v.
16
Solve 75 = 8318*q - 8303*q for q.
5
Solve 95*q + 638 = -517 + 15 for q.
-12
Solve 109*r + 124*r - 184 = 210*r for r.
8
Solve 0 = 44*p - 21*p - 138 for p.
6
Solve -11*f - 10*f = -240 + 408 for f.
-8
Solve 9*c + 637 = 52*c + 1497 for c.
-20
Solve 86*q + 716 + 118 - 60 = 0 for q.
-9
Solve -1629 = -361*o - 5600 for o.
-11
Solve -3005*j + 143 = -3018*j for j.
-11
Solve -2448 = 62*u - | {
"pile_set_name": "DM Mathematics"
} |
. What is s rounded to seven dps?
0.0000082
Let c = 0.79001 - 27.79951. Let z = 65 + -92. Let t = c - z. What is t rounded to 3 dps?
-0.01
Let w = 187 - 186.9998025. Round w to five decimal places.
0.0002
Let y = -332786 - -332752.9951. Let v = 33.055 - 0.055. Let i = y + v. What is i rounded to three decimal places?
-0.005
Let t be -80403 - (6/10 + (-2)/(-5)). Suppose 5*s = 261394 + 390626. Let i = s + t. Round i to the nearest ten thousand.
50000
Let q = 0.07326 + -0.12589. What is q rounded to three decimal places?
-0.053
Let f = 0.00651732632 - 2014.86960432632. Let u = -2006.163 - f. Let x = u + -8.7. What is x rounded to five dps?
0.00009
Suppose 902 = 3*o + 2*y, 5*y - 7 = -2. Round o to the nearest 100.
300
Let x = 4733.3968 + -4733.19680017. Let s = 2.53 + -2.73. Let y = x + s. What is y rounded to 7 decimal places?
-0.0000002
Let b = 31.9 - 41. Let j = -63792587 + 63792577.8999891. Let d = b - j. Round d to 6 dps.
0.000011
Let d = 319 - 457. Let p = 40773247.999683 - 40773386. Let c = p - d. What is c rounded to 5 decimal places?
-0.00032
Let a(q) = -1841434 - 685198 - q - 2101732 - 1071636. Let m = -3 - -3. Let s be a(m). What is s rounded to the nearest one million?
-6000000
Let t = 175739120.076948 - 175738060. Let l = t - 1063.077. Let k = l - -3. What is k rounded to five decimal places?
-0.00005
Let a = -24.2988616 + -2.5007964. Let c = a - -26.8. What is c rounded to 5 dps?
0.00034
Let b = -283 + 282.93. Let s = -5.96008 + 6.03. Let c = b + s. What is c rounded to four decimal places?
-0.0001
Let r be 1*-2*(-7)/2. Let v(b) = -24*b + 0*b - 510 - 5*b - 514 + 1017. Let q be v(r). Round q to the nearest 10.
-210
Let d = 8797 + -8797.000005529. Round d to seven decimal places.
-0.0000055
Let a = -102.087 + 102. What is a rounded to two dps?
-0.09
Let h = 10406105 + -3366105. Round h to the nearest 1000000.
7000000
Suppose 3*o - 15 = -5*z, -4*z + 5*o + 17 - 42 = 0. Let c be 2 - (550002/1 + z). Round c to the nearest one hundred thousand.
-600000
Let c = 14822 + -14824.99975. Let p = -2 + -1. Let k = c - p. Round k to four decimal places.
0.0003
Let l = 16.5 + -19.61. Let u = l + 3.110153. Round u to 5 decimal places.
0.00015
Suppose 65*d = 15*d + 631300000. What is d rounded to the nearest one hundred thousand?
12600000
Let j = 1136.999994098 + -1137. What is j rounded to 6 dps?
-0.000006
Let b be (-3)/6 + 19203/(-6). Let h = b - 4930. Let m = h + 14231. What is m rounded to the nearest one thousand?
6000
Let p = -2991141 + -2189763. Let q = p + 1460904. Round q to the nearest one million.
-4000000
Let x = -431945364064602 + 431945379584963.33999955. Let i = -15520361 + x. Let c = -0.34 + i. Round c to seven decimal places.
-0.0000005
Let m = 1.7 - 2.6. Let z = 0.87 + m. Let f = -0.16 - z. What is f rounded to 1 dp?
-0.1
Let c = 41.1 - -0.9. Let m = c + -40.98. Round m to one decimal place.
1
Let j = 34.100149 - 34.1. What is j rounded to five decimal places?
0.00015
Suppose -y + 0*y + 4 = 0. Let n = 13 - 9. Suppose n*p - 51991 = 3*j, 3*p - y*j = 8*p - 65012. What is p rounded to the nearest ten thousand?
10000
Let b = -1225 - -1297.9. Let d = b - 79. Round d to the nearest integer.
-6
Let c = -6224 + 6223.9997421. Round c to five dps.
-0.00026
Let d = 769.7446 + 0.4554. Round d to the nearest ten.
770
Let r = 95.9638162 - -0.0282838. Let f = -167 + 263. Let d = f - r. What is d rounded to 3 decimal places?
0.008
Let h = 73.0601 - 73. Round h to two dps.
0.06
Suppose 2*c - 2558300 = -670356. Suppose 11*o - 420769 - 612923 = 0. Let y = o - c. Round y to the nearest 100000.
-900000
Suppose -a - 3 - 3 = 0. Let r(n) = 299999*n**2 - 3*n + 2. Let m be r(a). Suppose 0 = -d - 4*s + m, 4 = -4*s + 3*s. What is d rounded to the nearest one million?
11000000
Let r = -767 + 767.0000593. What is r rounded to 6 dps?
0.000059
Let t = -2139.842 + 2135.242165. Let w = -4.6 - t. What is w rounded to five dps?
-0.00017
Suppose 111280 = -675*m + 679*m. Round m to the nearest ten thousand.
30000
Let p = -229 + 84. Let z = -144.99999858 - p. Round z to seven dps.
0.0000014
Let f(g) = 12946*g**3 - 11*g**2 + 7*g + 4. Let w be f(4). Round w to the nearest ten thousand.
830000
Let m be 1 - 4/1 - (2 - -1106). Let q = -719 + m. Round q to the nearest one hundred.
-1800
Let m = -5.3 + 5.61. Let r = 0.355 - m. Round r to two dps.
0.05
Let s = -0.011 - 32.989. Let u = s + 61. Let m = -28.00083 + u. Round m to 4 dps.
-0.0008
Let w = -3790 + 3790.00010605. What is w rounded to 6 dps?
0.000106
Suppose -4*l - 89295 = -5*l. Let m = l - 37595. Round m to the nearest 10000.
50000
Let v = 407721.99755 - 407732. Let x = v - -10. What is x rounded to 4 decimal places?
-0.0025
Let x = -26480.23 - -26477.88000936. Let a = 2.35 + x. Round a to six decimal places.
0.000009
Let x = -0.646 - -0.6459148. Round x to 6 dps.
-0.000085
Let q(m) be the first derivative of -3450001*m**4/4 + m**3/3 + m**2/2 - m + 5. Let t be q(1). Round t to the nearest 100000.
-3500000
Let s = -0.055 + -32.945. Let c = s + -8. Let x = -41.033 - c. What is x rounded to 2 decimal places?
-0.03
Let u(k) = 86*k**2 - 5*k + 17. Let b be u(20). Let n = b - 22957. Round n to the nearest 1000.
11000
Let i = -1233102 - -1854977. Let b = 621875.04999916 - i. Let q = -0.05 + b. What is q rounded to seven decimal places?
-0.0000008
Let a = -5 + 14. Suppose 3*w + 2*m - 9 = 0, a*m + 10 = -w + 4*m. Suppose 4*o - w*p = 5, 0 = o - 6*o - 5*p - 5. Round o to two dps.
0
Let i = -17.9 + -11.1. Let a = -577113 + 577141.9979. Let o = a + i. What is o rounded to three dps?
-0.002
Let k(v) = 2*v**2 - 2*v + 2. Let g = -11 + 12. Let b be k(g). Suppose b*r + 92000 = -2*r. What is r rounded to the nearest ten thousand?
-20000
Let v be 1/(6/57804)*27/2. Let o = v - 86659. Round o to the nearest 1000.
43000
Let q = 275.1 - 275.100002414. Round q to seven decimal places.
-0.0000024
Let b = 0.62581 + -0.636. Round b to 3 decimal places.
-0.01
Let a = 3.5 + 2.5. Let g = -6.02 + a. Round g to 1 dp.
0
Let g = -8265981 + 13092689. Let a = -9473292 - g. Round a to the nearest 1000000.
-14000000
Let h(x) be the third derivative of 0*x + 3*x**2 - 8333/2*x**4 + 4/3*x**3 + 0. Let c be h(-2). What is c rounded to the nearest one hundred thousand?
200000
Let l(r) = r**2 - 2*r + 9. Let v be l(0). Let o be (15/v - 1)*6. Suppose 3*a - 3*d = -21599997, 0 = 5*d + o + 1. What is a rounded to the nearest 1000000?
-7000000
Let t(n) = 2*n**2 + 2*n - 3. Let p be t(-3). Suppose 0 = 10*m - p*m + 366000. Round m to the nearest 10000.
-370000
Let v = -1448 + 1449.231. Round v to 1 decimal place.
1.2
Suppose -2*v - 3*f = -4183252, -6*v + 10*v = 4*f + 8366544. Suppose v = -7*i - 1828368. Round i to the nearest one hundred thousand.
-600000
Let u = -0.073 + -4.427. Let h = -4.499906 - u. What is h rounded to 5 decimal places?
0.00009
Let q = -2.714 - -3.62. Round q to 1 decimal place.
0.9
Let s = 57 + -53. Let f = -2452997.9999904 - -2453002. Let h = f - s. What is h rounded to 6 decimal places?
0.00001
Let d = 62.117 - 0.117. Let i = -67.4 + d. What is i rounded to 0 decimal places?
-5
Let a = -0.44 + 2.25. Let k = -1.81000605 + a. What is k rounded to 6 decimal places?
-0.000006
Let d = 6.16 + -8. Let h = d - -12.54. What is h rounded to zero decimal places?
11
Let f = -0.347 - 20.353. Let n = 21 + f. Let g = n - 0.299976. Round g to five dps.
0.00002
Let p = -463 + 898. Let c = -1184.4564 - -749.4795. Let t = p + c. What is t rounded to 3 decimal places?
0.023
Let a = 453 + -453.00742. Round a to four decimal places.
-0.0074
Let n = -466 - -404.5. Round n to the nearest integer.
-62
Let g(o) = -o**3 + 4*o**2 + o - 2. Let m(p) = -p**2 + p + 1. Let i(a) = -g(a) + 2*m(a). Let v be i(-7). What is v rounded to the nearest one hundred?
-600
Let c = 31686863114662247 + -31686860333003124.9999877. Let p = -2781659381 + c. Let b = p + 259. What is b rounded to six dps?
0.000012
Let o = 13 + -36. Let r = -23.37 - o. What is r rounded to two dps?
-0.37
Let x = -0.115 + 0.037. Let t = x - -0.077864. Round t to 5 dps.
-0.00014
Let z = 9.34 - 9.3398188. Round z to five dps.
0.00018
Let b = 228295 + -228307.09356. Let r = b + 12.1. Round r to three dps.
0.006
Let t = 54 - 53.962. Let l = t - -0.242. What is l rounded to 1 dp?
0.3
Let t = -0.039 + 0.045. Let h = t - 0.0060 | {
"pile_set_name": "DM Mathematics"
} |
7*g**2. Let t(l) be the first derivative of c(l). Calculate t(o(v)).
-1458*v**2
Let u(i) = 7*i. Let z(v) = 126279*v**2. Determine u(z(b)).
883953*b**2
Let a(y) = -y. Let q(x) = 3*x. Let z(f) = -f**2 - 20*f - 5. Let n be z(-20). Let s(p) = -2*p. Let j(g) = n*s(g) - 2*q(g). Calculate a(j(h)).
-4*h
Let h(a) = -6*a. Let i be 25*(20/(-5))/(-2). Let o(y) = 95*y - i*y - 47*y. Determine o(h(x)).
12*x
Let w(y) be the third derivative of y**4/6 + 2*y**2. Let k be 1/(28/(-40)*4 + 3). Let r(p) = -7*p**2 + k*p**2 + p**2. Determine r(w(c)).
-16*c**2
Let l(w) = 2*w**2 - 2*w. Let j(z) = -5*z**2 + 6*z. Let s(c) = 2*j(c) + 6*l(c). Let h(u) = 22*u. Let t(m) = 21*m. Let k(v) = 5*h(v) - 6*t(v). Calculate k(s(i)).
-32*i**2
Let b(t) = 3096*t. Let o(y) = -8*y. Determine b(o(s)).
-24768*s
Let w(u) = -11*u**2. Let b(v) = v**3 - 5*v**2 + 5*v - 4. Let d be b(4). Let t(l) = -l - l + d*l + l. Determine t(w(n)).
11*n**2
Let g(d) = d**2. Let w(i) = -152*i**2 - 3. Let z(s) = -198 + 271 - 3835*s**2 + 292 + 22377*s**2. Let p(t) = -365*w(t) - 3*z(t). Determine g(p(y)).
21316*y**4
Let b(q) = 9*q + 6. Let t(w) = w + 1. Let f = -26 - -32. Let y(l) = f*t(l) - b(l). Let o(z) = -14*z**2. Determine o(y(h)).
-126*h**2
Let a(t) = t. Let r(f) = -8895*f**2 - 3*f + 5. Calculate r(a(l)).
-8895*l**2 - 3*l + 5
Let i(q) = 87*q. Let w(z) = z. Let n(x) = -6*x. Let s(k) = -n(k) - 5*w(k). Determine s(i(p)).
87*p
Let l(q) = 250 - 250 + 11*q + 11*q. Let o(a) = 6*a**2. Calculate o(l(p)).
2904*p**2
Let k(q) = -3*q**2 - 2*q. Let d(h) = -8*h**2 - 5*h. Let i(r) = -2*d(r) + 5*k(r). Let m(w) be the third derivative of -w**4/24 - 6*w**2. Determine i(m(f)).
f**2
Let f(i) = -3*i. Let q(c) be the first derivative of 3*c**2 - 15*c - 170. What is f(q(j))?
-18*j + 45
Let i(c) = -102*c**2. Let o(t) = 2*t**2 + 192. Calculate o(i(s)).
20808*s**4 + 192
Let o(d) = -48*d**2 + 57*d**2 - 12*d**2. Let g(m) = -10*m**2. Determine g(o(i)).
-90*i**4
Let u(h) = 4*h**2 + 3*h. Let j(w) = 18*w**2 + 14*w. Let i(o) = -6*j(o) + 28*u(o). Let z(p) = 9*p**2. What is i(z(k))?
324*k**4
Let v(t) = 2*t - 422*t**2 - 398*t**2 - 2*t + 844*t**2. Let m(f) = 6*f. Give m(v(x)).
144*x**2
Let v(s) = -2*s**2. Suppose 0 = -4*j - 2*n + 64, 3*j + n + n - 48 = 0. Let b(y) = j*y**2 - 5 + 17*y**2 + 5. Calculate b(v(m)).
132*m**4
Let f(y) = -17*y - 40. Let d(q) = -69*q. Calculate f(d(m)).
1173*m - 40
Let p(h) = -h**2 + h - 1. Let z(g) = -14*g**2 - 3*g + 3. Let x(q) = 3*p(q) + z(q). Let d(m) = -1 + 6*m**2 - 5*m**2 + 1. What is x(d(l))?
-17*l**4
Let t(s) be the first derivative of 2*s**3/3 + 172. Let i(b) = 117*b. Calculate i(t(a)).
234*a**2
Let r(y) = 0*y - 15*y - 23*y - 8*y. Let l(x) be the third derivative of x**4/24 + 21*x**2. Give l(r(t)).
-46*t
Let l(f) = 34609*f**2. Let a(c) = -2*c. Give l(a(z)).
138436*z**2
Let d(t) = -t**2 + 2466*t - 1. Let r(m) = 5*m**2. Calculate d(r(o)).
-25*o**4 + 12330*o**2 - 1
Let d(z) = -5*z. Let w(b) = -5539 + 20*b - 5538 + 2*b**2 + 11077. What is d(w(l))?
-10*l**2 - 100*l
Let y(c) = -10*c**2 + 2294. Let h(i) = 4*i. Give h(y(a)).
-40*a**2 + 9176
Let t = 12 - 9. Let q(j) = -5*j. Let d(a) = 16*a. Let o(m) = t*d(m) + 10*q(m). Let s(z) = 3*z**2 + 3*z**2 - 4*z**2. Determine s(o(g)).
8*g**2
Let b(r) = -24*r - 1. Let q(h) = 5*h**2 - 6*h. Let z(k) = 4*k**2 - 5*k. Let i(w) = -5*q(w) + 6*z(w). What is i(b(p))?
-576*p**2 - 48*p - 1
Let j(w) = -4*w**2. Let i(v) = 2666*v + 3. Determine j(i(a)).
-28430224*a**2 - 63984*a - 36
Let c(l) = -2*l - 108. Let j(f) = -f - 104. Let g(h) = 3*c(h) - 4*j(h). Let w(d) = 3*d. Give g(w(n)).
-6*n + 92
Let g(a) be the first derivative of -a**6/360 + 4*a**3/3 + 1. Let j(y) be the third derivative of g(y). Let r(t) = -32 + 32 + t**2. What is r(j(h))?
h**4
Let w(a) = a. Let v(u) be the second derivative of -13*u**4/4 + u + 41. Determine v(w(m)).
-39*m**2
Let j(u) = -24*u. Let c(v) = 2*v**2 - 110. Determine j(c(y)).
-48*y**2 + 2640
Let m(k) = -55*k - 10. Let v(a) = 55*a + 12. Let z(p) = -6*m(p) - 5*v(p). Let s(y) = -y. Calculate z(s(c)).
-55*c
Let u(l) = 22710 - 22710 - 51*l**2. Let y(o) = 3*o. Determine y(u(m)).
-153*m**2
Let z(a) = 24*a**2 + 0*a + 0*a - 27*a**2. Let n(i) be the third derivative of i**4/6 + 4*i**2. Determine n(z(f)).
-12*f**2
Let q(c) = 2*c + 262. Let i(f) = 691*f**2. Give q(i(o)).
1382*o**2 + 262
Let i(k) = -2*k**2. Let u(t) be the third derivative of 0*t**4 + 0*t**3 + 0*t - 11*t**2 + 0 - 1/10*t**5. Determine u(i(d)).
-24*d**4
Let s(h) = 302367*h. Let z(t) = -2*t. What is z(s(k))?
-604734*k
Let z(h) = 658*h - 21. Let s(r) = -437*r + 15. Let w(y) = 7*s(y) + 5*z(y). Let t(o) = 3*o. Give w(t(j)).
693*j
Let l(h) = -2*h. Let w = -8233/12 - -687. Let o(p) be the second derivative of -3*p + 0*p**3 + 0 + 0*p**2 - w*p**4. Give l(o(j)).
22*j**2
Let a(o) be the second derivative of o**4/6 - 64*o. Let c(r) = 99*r. What is a(c(p))?
19602*p**2
Let k(i) be the first derivative of -i**2/2 + 64*i - 170. Let v(z) = -z**2. Determine k(v(l)).
l**2 + 64
Let p(r) = 3*r. Let a(c) = 3*c**2 + 2*c - 4385. What is p(a(l))?
9*l**2 + 6*l - 13155
Let o(d) = -36*d. Let r(f) = 3300*f + 7. Determine o(r(k)).
-118800*k - 252
Let q(b) = -3*b**2. Let a(x) be the second derivative of x**4/12 - 61*x. Give q(a(i)).
-3*i**4
Let g(w) = -3*w + 3*w + w. Let x(l) = -1 - 2 + 2 + 1 + 19*l. Calculate x(g(y)).
19*y
Let w(l) = -4*l**2 - 1. Let t(p) = -p - 1. Let f(g) = 2*g + 5. Let o(c) = f(c) + 5*t(c). Calculate o(w(m)).
12*m**2 + 3
Let s be (-5)/(105/(-6)) - (-30)/(-252). Let u(h) be the second derivative of 0*h**2 + 2*h + s*h**3 + 0. Let i(y) = y. Give u(i(v)).
v
Let h(r) = 34*r**2. Let k(o) be the third derivative of 0*o - 30*o**2 + 0 + 0*o**3 - 1/12*o**4. Calculate k(h(n)).
-68*n**2
Let g(d) = 2*d**2. Let w(j) be the first derivative of 12*j**3 + 34. Calculate w(g(h)).
144*h**4
Let j(p) be the third derivative of p**4/8 + 84*p**2 + p. Let z(h) = -3*h + 3. Calculate z(j(y)).
-9*y + 3
Let q(l) = -3*l. Let b(d) = -98444*d**2. Determine b(q(u)).
-885996*u**2
Let s(m) be the second derivative of -m**3/3 - 2*m. Let x(h) = -2*h + 10. Let c(f) = 3*f - 18. Let l(a) = -5*c(a) - 9*x(a). Calculate l(s(v)).
-6*v
Let v(x) be the third derivative of -8*x**2 + 0 + 0*x**3 + 0*x**4 + 0*x - 13/60*x**5. Let w(z) = -2*z. Calculate v(w(l)).
-52*l**2
Let s(o) be the first derivative of -4*o**3/3 - 133. Let p(y) = -2*y**2 - 40*y. What is p(s(w))?
-32*w**4 + 160*w**2
Let y(j) = -3*j**2. Let u(l) = -133*l**2 + 77*l + 231. Let s(c) = -7*c**2 + 4*c + 12. Let o(p) = -77*s(p) + 4*u(p). What is y(o(t))?
-147*t**4
Let b(r) = -719*r**2 + 145*r - 1. Let x(g) = g. What is x(b(i))?
-719*i**2 + 145*i - 1
Let g(o) = -2*o**2. Let d(x) be the third derivative of 5*x**4/24 - 2*x**2 + 7. What is d(g(c))?
-10*c**2
Let t(o) be the third derivative of -o**6/90 - 11*o**3/2 + 5*o**2. Let r(j) be the first derivative of t(j). Let w(q) = 14*q. What is r(w(x))?
-784*x**2
Let a(s) = 8*s. Let r(u) = 31374*u**2 - 2*u. What is a(r(w))?
250992*w**2 - 16*w
Let q(c) = 2*c**2. Suppose -65*l + 63*l = -4. Let u(o) = -7652*o + 7652*o - 31*o**l. What is q(u(z))?
1922*z**4
Let u(x) = x**2 - x. Let p(j) = 32*j**2 - 28*j. Let f(z) = 2*p(z) - 56*u(z). Let o(g) = 0*g + 22*g**2 - 19*g**2 + 0*g. Determine o(f(h)).
192*h**4
Let b(k) = k**2 - 4*k**2 + 4*k**2. Let z = 14 + -12. Let w(d) = -d + z*d + 7*d. What is w(b(i))?
8*i**2
Let a(h) = -24*h. Let y(d) be the second derivative of d**4/4 + 156*d. Determine y(a(p)).
1728*p**2
Let s(f) = 30*f**2. Let d(n) = -14*n**2 - 49*n. Let t(r) = -r**2 - 3*r. Let h(z) = -3*d(z) + 49*t(z). Determine h(s(j)).
-6300*j**4
Let d(w) = 67*w**2. Let l(c) be the first derivative of -6*c**2 + 517. Give l(d(q)).
-804*q**2
Let u(b) = -35*b**2. Let h(r) = -r + 692. Calculate u(h(a)).
-35*a**2 + 48440*a - 16760240
Let b(x) = 3*x. Let t(u) = 20*u + 440. Let w be t(-22). Let p(r) be the third derivative of -7*r**2 + 0*r + 0*r**4 + 1/30*r**5 + w + 0*r**3. Calculate p(b(q)).
18*q**2
Let p(w) = -w. Let h(f) = -46*f - 9. Let d(i) = 70*i + 14. Let c(g) = -5*d(g) - 8*h(g). What is p(c(u))?
-18*u - 2
Suppose 2 = g, -3*d = -2*d - 3*g + 6. Let r(c) = 2*c - c + d*c. Let q(b) = 5*b + 2. Let s(h) = 6*h + 2. Let a(w) = -3*q(w) + 3*s(w). Give a(r(y)).
3*y
Let v(o) = -26*o. Let k(x) = 3048*x. Calculate v(k(u)).
-79248*u
Let s(u) = 95*u**2. Let f(m) = 3159 - 3159 + m + 0*m. Give s(f(l)).
95*l** | {
"pile_set_name": "DM Mathematics"
} |
(b) 2 (c) u
c
Let r = 0.03 - 3.03. Let f be 27/3*(-2)/(-42). Which is the second biggest value? (a) -4 (b) r (c) f
b
Let z = 55 + -55. What is the second biggest value in z, -3, 1.2?
z
Let x(g) = g**2 - 6*g - 9. Let s be x(7). Which is the third biggest value? (a) 6 (b) s (c) 4
b
Let d = 0.18 + -0.1. Let n = -1.58 + d. Let v = -0.5 - n. What is the second smallest value in -2/7, 4, v?
v
Let r = -29/84 - -2/21. Suppose -2*o - 55 = -13*o. Which is the second biggest value? (a) 2 (b) r (c) o
a
Let v = 184/85 + -30/17. Which is the second smallest value? (a) -0.1 (b) 0.5 (c) -2 (d) v
a
Let o be (-3)/(7 - 4)*-1. Which is the biggest value? (a) 1/3 (b) -3 (c) -7 (d) o
d
Let q be 66/15 - 8/20. What is the second smallest value in 1, q, 2/3?
1
Let u = -5.6 + 6. Let y = -16327/22 - -742. Let t = 4/11 - y. What is the third biggest value in u, -4, t?
-4
Let z = 19 - 33. Let a = -14 - z. Let h = 2.03 - 0.03. What is the second biggest value in a, h, -0.2?
a
Let g be (4/(-21))/(12/14). Let y = -1 - -0.8. Which is the third biggest value? (a) g (b) 4 (c) y
a
Let f = 0.1 - 0.2. Suppose -2*i + 15 = 3*l, -3*i - 5*l + 25 = -2*i. Let x be (0 - i)/(4 - 5). What is the biggest value in f, x, 0.5?
0.5
Let z = -17 - -22. What is the second smallest value in 1, 3, 1/2, z?
1
Let v(u) = u**3 - 11*u**2 - u + 5. Let y be v(11). Let t = y + 7/2. Which is the biggest value? (a) t (b) 0.3 (c) 4/9
c
Let y be (-5)/(-2)*(-24)/(-15). Let u be (-1)/y + 2/(-4). What is the biggest value in u, 2/3, 0?
2/3
Let y = -0.2 + -0.3. Let o = -0.2 - 2.4. Let q = 2.4 - o. Which is the third biggest value? (a) y (b) -5 (c) q
b
Suppose 3*k - 4*n = k + 8, -3*k - 9 = n. Let j be ((-6)/(-20))/((-2)/(-4)). Which is the second biggest value? (a) k (b) 5 (c) j
c
Let d be -1 + (-6)/(-8) - 0. Let n be ((-2)/4)/(10/(-12)). What is the second smallest value in n, d, 0.4?
0.4
Let h = -0.3 + 2.8. Let j = h - 2. Let n = -0.4 - 0.1. What is the second biggest value in n, -4/5, j?
n
Let g be 10/6*(-12)/8. Let m be (-1 - (-1 + 3))/(-1). Suppose 7*a - 20 = m*a. What is the third biggest value in g, a, -1/3?
g
Let n = 2032/9 + -226. What is the third smallest value in -3, n, -2/5?
n
Let w = 83 + -88. What is the third biggest value in w, -0.1, 1?
w
Let t(d) = -d**2 + 7*d + 8. Let k be t(8). Let y = k + 0. Suppose y = -3*m - 0*m. Which is the third smallest value? (a) -5 (b) 1 (c) m
b
Let u = 1.5 + 4.5. Let x = u + -2. Let t = 0.8 + -1.1. Which is the biggest value? (a) x (b) t (c) -0.2
a
Suppose u - 10 = -5. What is the biggest value in 3, 1, u?
u
Let q = -0.23 - 0.07. Let b = -14 + 10. Let l = -61 - -243/4. What is the second biggest value in b, l, q?
q
Let i = 11 + -6. Let f = i - 5.5. Let u = f - 0.5. Which is the third biggest value? (a) 0.5 (b) 2/21 (c) u
c
Suppose -3*l - 2*l - 10 = 0. Let q be 2 - 0 - 114/(-6). Let j be q/(-6) - 4/l. Which is the biggest value? (a) j (b) 0 (c) 1/9
c
Let y = -3 - 3. Let k = y - -8. What is the second smallest value in -5, k, 4?
k
Let m = 1.9 - -0.1. What is the biggest value in m, -2, 11?
11
Let s = -27 - -24. What is the third biggest value in s, -2, 0.4?
s
Let y be 4/32 + (-2)/16. What is the biggest value in -2, 2, y, 35?
35
Suppose 0 = 2*h - 48 + 16. Suppose 6*y - 25 = 3*y - 4*z, -4*y - z + h = 0. Let k be (3/4)/((-5)/(-4)). Which is the biggest value? (a) k (b) 2/7 (c) y
c
Let l be 0 - (-3 + 4/(-4)). Suppose 0 = -l*o + 12. What is the biggest value in o, -3, -0.1?
o
Let u = -975/7 + 139. Let q = 178 - 179. What is the third biggest value in u, q, 3?
q
Let v = -0.8 - -1. What is the biggest value in 1/7, -2, v?
v
Let h = 21 - 20.8. Which is the second biggest value? (a) -5 (b) h (c) 5 (d) 4
d
Let o = -41 - -41. Which is the fourth smallest value? (a) o (b) -4 (c) -5 (d) -11
a
Let h = -0.9 - -4.5. Let k = h + -4. Let c = 0 + 0. What is the second biggest value in 2/9, c, k?
c
Let g be 2/(-5) + 9/(-15) + 5. Which is the fourth biggest value? (a) -4 (b) -4/3 (c) g (d) -0.5
a
Let s be ((4/(-2))/(-2))/(-2). Let b(z) = -z - 7. Let p be b(-5). Let t = p - 0. What is the second biggest value in t, 5, s?
s
Let g = -422/5 - -84. Which is the biggest value? (a) g (b) -0.09 (c) -1/5
b
Suppose 3*u = -14 - 19. What is the second biggest value in 0.1, u, 4?
0.1
Let f = -0.001 + 0.301. Let r = 9 - 5. What is the smallest value in f, r, 1?
f
Let y = -1 - -5. Let s = -0.9 - -1.2. What is the smallest value in s, y, -0.1?
-0.1
Let q = 12 - 18. Let w = 2 + q. What is the second smallest value in -2, w, 2/3?
-2
Let g = 64.1 + -64. Which is the smallest value? (a) 4 (b) g (c) 0.5 (d) -34
d
Let v = 0.49 + -0.79. What is the third biggest value in 0.1, v, 0.7, -0.2?
-0.2
Let j = 37/576 + 3/64. Let k = -6 - -10. What is the second smallest value in k, j, 0.4?
0.4
Let s = 8 - 11. What is the second smallest value in s, 1/4, 4?
1/4
Let x = -360 - -360.2. Let r = 984/8987 - 2/473. Which is the biggest value? (a) x (b) r (c) -0.05
a
Let f = -3 - -21. Let j = f - 13. What is the biggest value in 0, -4, j?
j
Let z = -13 - -10. Let m be (z - -3) + 0/2. Let o = -4 - 0. Which is the second biggest value? (a) 1/2 (b) o (c) m
c
Let t(n) = -n**3 - 2*n**2 + n + 1. Let s be t(-2). What is the second biggest value in s, 5/3, -5?
s
Let b = -1 - -5. Let g = 1/8 - -1/8. Let d(j) = -j**3 - 5*j**2 + 7*j + 5. Let n be d(-6). What is the smallest value in n, g, b?
n
Let g be -1 + (-12)/(-9) - (-20)/(-6). What is the second biggest value in 5, g, -0.9?
-0.9
Let m = 27 + -30. Let y = 0.39 + 0.01. Which is the smallest value? (a) y (b) m (c) 1
b
Let x = 0 + -3. Which is the smallest value? (a) -1/4 (b) x (c) -2
b
Let l = -0.14 + 5.14. Let q(i) = -i**2 + 8*i + 12. Let x be q(9). Which is the second smallest value? (a) x (b) l (c) -2/3
a
Let z be (64/(-12))/((-4)/(-30)). Let o be z/(-28) - (0 + 2). Which is the second biggest value? (a) 0 (b) -2/17 (c) o
b
Let k = -247/36 + 64/9. Which is the biggest value? (a) -2/9 (b) 2/17 (c) -3 (d) k
d
Let x be 19308/38 + 4 + 0. Let j = x + -512. Which is the second biggest value? (a) 1 (b) 2/3 (c) j
b
Let y = -0.05 - 0.05. Let k = -10.3 + 10. Which is the third biggest value? (a) y (b) k (c) 0.2
b
Let s(q) = -13*q - 26*q + 10*q. Let o be s(3). Let l = o - -611/7. What is the third biggest value in -5, l, -0.5?
-5
Let x = -34 + 40. Which is the fourth smallest value? (a) x (b) 3 (c) 0.3 (d) 2/3
a
Let s = 0.76 + -1.06. Let l = -1.4 - -0.4. Which is the third biggest value? (a) s (b) l (c) -2/5
b
Let t = 48 + -48.3. Which is the biggest value? (a) -1 (b) -0.5 (c) t
c
Let n = 0.08 + 0. Let a = n - 4.08. Let g = 139/3 + -46. What is the biggest value in a, g, 0.4?
0.4
Let w = -14 - -14.9. Let m = 0.5 - w. Which is the third smallest value? (a) -4/5 (b) 1/5 (c) m
b
Let q(m) = 0*m**3 + 7*m + m**3 + 0 - 5 - 7*m**2. Let k be q(6). Let l be k - 3/((-30)/(-4)). What is the biggest value in -2/5, l, 0?
l
Let h = 7.6 + -5.6. Which is the second smallest value? (a) -2/13 (b) 0.04 (c) h
b
Let p = 3 - 0. Let d be 5/(10/(-52)) + -1. Let g be d/30 + (-3)/(-6). Which is the biggest value? (a) p (b) 0.1 (c) g
a
Let l = 118.9 - 119. Which is the biggest value? (a) -4 (b) l (c) -3/7 (d) 1/4
d
Let u be ((-10)/(-4))/((-1)/(-2)). Suppose -x = z + 12 - u, 2*x = 5*z + 14. Which is the biggest value? (a) 1 (b) x (c) -5
a
Let y be 75/10*3/(-30). Which is the second smallest value? (a) y (b) 2 (c) -0.2
c
Let l = 2/181 - -169/1086. Let k = -1 + 0. Suppose 25 = 4*y + 5. What is the biggest value in l, y, k?
y
Let x = 45/68 + 3/34. Let c(f) = -f**2 - 2*f + 3. Let q be c(3). Let s be 3/(-4)*(-8)/q. What is the smallest value in x, s, 1?
s
Let d = 19 + -16. Which is the second biggest value? (a) 0.5 (b) d (c) -4
a
Let h be (-51)/12 + (-6)/8. Let l = 19/4 + h. What is the second smallest value in 2/3, 4, l?
2/3
Let c(b) = -7*b**3 - b**2 + b - 7. Let k(h) = 4*h**3 - h + 4. Let f(j) = 3*c(j) + 5*k(j). Let g be f(-2). What is the smallest value in 0, g, -2?
-2
Let g = -0.03 + 0. Let y = -0.17 + g. Which is the second smallest value? (a) 2 (b) -1/6 (c) y
b
Let j = -10 + 9.6. What is the biggest value in j, 4, -4?
4
Suppose 0 = 10*p + 33 + 17. What is the biggest value in -0.2, 5, -0.3, p | {
"pile_set_name": "DM Mathematics"
} |
alculate the lowest common multiple of l and t.
44
Let y be 7460/18525 + 8/(-20). Let g = 2325/23218 + y. What is the common denominator of g and 23/20?
2820
Suppose 0 = 13*w + w - 1652. Let s = -103 + w. Calculate the lowest common multiple of 12 and s.
60
Let s be (-6)/(-18) - 7021/3. Let p be (-9)/(-15) - (-67671)/s. Let y = 335/13 + p. What is the common denominator of y and 21/22?
220
Suppose -m + q + 52 = 0, -m = -0*m - 3*q - 54. Let n = -74 - -84. What is the lowest common multiple of (-9)/3 - (0 - m) and n?
240
Let w be (((-1)/2)/1)/(42/(-252)). Suppose 16*s + w*s = 1710. Calculate the lowest common multiple of 6 and s.
90
Suppose 4*x - 4 = 2*x. Suppose x*n + 6 = 0, -g - 1352 = 3*n - 0*n. Calculate the lowest common multiple of 1/4 + g/(-68) and 36.
180
Let t = -206/9 - -1730/63. Let w = 16696 - 34471/2. Let x = w - -525. Find the common denominator of x and t.
14
Let g = -1858 - -1875. Calculate the least common multiple of 845 and g.
14365
Let r = 1533367/36 - 42590. Find the common denominator of 115/96 and r.
288
Let q = 12243/5 - 2439. Let k(n) = n**3 + 12*n**2 - 41*n - 60. Let b be k(-15). Calculate the common denominator of q and (-4)/30 - 332/b.
30
Let c be -3 + -4 + (-57936969)/(-7900200). Let p = -50/4389 - c. What is the common denominator of p and -49/220?
2200
Let h = -499/120 - -74/15. What is the common denominator of 139/2280 and h?
2280
Calculate the least common multiple of -12*(10 - 261/18) and 24.
216
Suppose 2*u + 172 = 5*x + 465, 2*u = -x + 263. Let b = 37661 - 37655. What is the lowest common multiple of u and b?
402
Let s(g) = -57*g + 19. Let r(f) = -86*f + 28. Let a(t) = 5*r(t) - 8*s(t). Let c be a(2). Suppose 3*m - c = -m. Calculate the least common multiple of 16 and m.
80
Let s(o) = 179*o**2 + o - 9. Let m be s(-5). Suppose -d + 1435 = -m. Let p = -35279/6 + d. Find the common denominator of p and -93/4.
12
Let d be 111 - (2 + -5)*1. Suppose -6*j - 102 = -3*n - 2*j, -4*n - 2*j = -d. What is the lowest common multiple of 12 and n?
60
Let c be (0 + 6 + -4)*2. Suppose -5*k + c*k = -12. Let w = 98 + -89. What is the lowest common multiple of k and w?
36
Let t be (-30 - -29)*0/(-2). Let i(j) = -j**2 - 7*j - 4. Let h be i(-3). Suppose t = g + 3 - h. What is the least common multiple of 5 and g?
5
Let c be 0*-3*(-8)/(-72). Suppose -5*y - f + 0*f + 448 = c, -10 = 5*f. What is the smallest common multiple of 90 and y?
90
Suppose -4*a + 222 = 42. Find the common denominator of -103/10 and 10/(-8)*3/a*93.
20
Calculate the lowest common multiple of (-11*(-1053)/(-1716))/((-2)/8*1) and 300.
2700
Calculate the common denominator of (-12)/(-21) - -4 - 1 and 285/(-6175)*(-10)/12.
182
Let t(p) = -175390*p**2 - 6*p - 4. Let v be t(-8). Let z = 112340089/10 + v. Let g = z - 9083. Calculate the common denominator of g and 22/3.
30
Let o = 9623149/360 - 26731. Let l = 1703/360 + o. Calculate the common denominator of l and 1/((-2368)/1124 - -2) - -4.
30
Let r(v) = v**3 - 6*v**2 + 11*v - 4. Let o be r(3). Find the common denominator of (180/56 - o)*-6 - -2 and 19/42.
42
Let o(b) = b**3 - b**2 + b + 4876. Let a be o(0). Let c = a - 112096/23. Find the common denominator of c and -43/9.
207
Suppose -137*n + 12939 = -91181. Calculate the smallest common multiple of n and 240.
4560
Let l = -88495/18168 + 60/757. Let f = -107 - 60. What is the common denominator of l and (-175)/25 + f/(-30)?
120
What is the common denominator of 137/174 and (-164)/40 - -1 - (-4 + 3 + -2)?
870
Let v = -425061/2783500 - 74/5567. Find the common denominator of v and -23/500.
500
Let z = 54 + -49. Let u be (-155242)/97328 - z/(-5). Let g = 5/869 + u. Find the common denominator of g and 73/18.
504
Find the common denominator of -143/24 and 8/(-22)*(-2562)/2352.
1848
Let j = -23 + 13. Calculate the least common multiple of 31 + 4454/(-136) + (-139)/(-4) and 6/(-4) - 315/j.
330
Suppose -h = 5*a + 2686 + 690, a + 692 = 4*h. What is the common denominator of 91/216 and (-1)/12 - a/480?
1080
Suppose -3*j + 2*n = -114, 0*n - 3*n = j - 38. Calculate the smallest common multiple of 6/(-8) - -2*561/88 and j.
228
Suppose 0 = 32*s - 22*s - 140. Suppose -4*g - 182 = -3*p + g, -5*g + 88 = 2*p. What is the lowest common multiple of s and p?
378
Let z be (-24)/((-2)/(-4)*84/609). What is the common denominator of 44/27 and 2 + (-14)/4 + (-490)/z?
783
Let a = 1745/624 + 5/312. Suppose -2*r + 569 + 639 = 0. What is the common denominator of ((-2)/(-88))/(6/r) and a?
528
Let f = 1492 + -26869/18. Let q(h) = -h**3 - 10*h**2 + 37*h - 25. Let t be q(-13). What is the common denominator of 135/75*((-36)/(-8) + t) and f?
90
Let l = -5/4136 + 385/376. Let b = -378499/40 - -37861/4. Calculate the common denominator of l and b.
440
Let k(n) = n**3 - 2*n**2 - 7*n - 3. Let c be k(-2). Let p be c + 2 - (2 - -6617). Let l = -198757/30 - p. Find the common denominator of l and 74/9.
90
Suppose 813 = 2*l + q, 1 = q + 4. Let x = 227/2 - 97. Calculate the common denominator of (-2 - l/(-44))/(1 - 3) and x.
22
What is the common denominator of 85/2 and ((-20)/28400)/((-7)/889)?
1420
Suppose 4*j - 3*b = -1039, b + 20 = 5*b. Find the common denominator of 79/14 and ((-6)/(-16)*1)/(1152/j).
84
Let z(t) = -12*t**2 + 206*t + 1. Calculate the lowest common multiple of z(11) and 30.
4890
Let g = 6318 + -6159. What is the least common multiple of 7 and g?
1113
Let x be 6/10 + (-42)/(-30). What is the common denominator of x + 2 + (-2076)/360 and 141/(-20)*4/18?
30
What is the smallest common multiple of -1 - -18 - 2758/197 and ((-4)/6)/((-3)/27)?
6
Let f = 29583809/289 - 102366. What is the common denominator of f and 7/3?
867
Let f = -22594 - -2078615/92. What is the common denominator of f and -79/2415?
9660
Suppose -2*v + 3578 = 3*n - 4*v, -4754 = -4*n + 6*v. What is the smallest common multiple of n and 4?
1196
Calculate the common denominator of (10/18)/(30 + (-1752)/60) and -49/20.
180
Let z = -16225/3 - -5408. What is the common denominator of z and 10/99?
99
Let r(i) = -i**2 - 10*i + 1370. Calculate the least common multiple of r(0) and 16.
10960
Let p(x) = x**2 + 93*x + 1407. What is the smallest common multiple of p(-15) and 3?
237
Let j be (-4)/(-16) + (-2379)/12. Let s = -163 - j. Calculate the least common multiple of 8 and s.
280
Let a = 26787 - 2571613/96. Calculate the common denominator of 29/1080 and a.
4320
Let o = -138860 + 247640. Let z be (-438809)/o - (-2)/7. Let u = 1/555 - z. Calculate the common denominator of 7/3 and u.
12
Suppose -4*l + 19*y - 17*y = -916, 3*y + 690 = 3*l. What is the lowest common multiple of 48 and l?
912
Let c(j) = 68*j**2 - j + 2. Let z be c(1). Let t = z - 61. What is the least common multiple of t and 94/(8 - (12 - 6))?
376
Let a = 193/72 + -11/36. Let x be ((-830889)/(-63909) - 13)/((-2)/42). Let y = -118243/37872 + x. What is the common denominator of y and a?
48
Let a = -83 - -84. Let l be (1 - 11)/a + -5. What is the smallest common multiple of (54/l)/(4/(-10)) and 18?
18
Let n = 1671/7 + -237. Let k be -5*((-4)/(-20) + 1). What is the common denominator of n and 4/k - (-831)/72?
56
Suppose -4*s = -p + 65378, -p + 2*s = 2*p - 196184. What is the common denominator of p/45600 + 2/(-25) and -187/60?
240
Let k = -7304 + 7334. Calculate the least common multiple of k and 7/(-7) - (-1 + -7).
210
Let o be 3*((-2855)/(-75) + 1). Let j = o + -5654/45. Calculate the common denominator of 47/3 and j.
9
Find the common denominator of 855/494*((-580)/(-1380) - 4/46) and 1 + (-3)/48*7.
208
Suppose -4*w = -3*p - 385, -10*w + 5*w - 4*p = -458. Suppose 0 = 4*z - 8, 0 = 3*n + 12*z - 7*z - w. Calculate the common denominator of n and -55/357.
357
What is the common denominator of (12/(-1148))/(-8 - 1182/(-150)) and 7/410?
2870
Let r = 2794 + -2425. What is the lowest common multiple of r and 9?
369
Let v = -72 + 132. Suppose v = -m - m. Calculate the least common multiple of 2/2*-3*40/m and 19.
76
Let l = 7 + -2. Let m(h) = 76*h - 68. Calculate the lowest common multiple of m(1) and l.
40
Let n(b) = b + 18. Let k be n(-17). Let s = 1/14345 + -702923/258210. Find the common denominator of s and ((-2)/(-12))/k + (-147)/14.
18
What is the smallest common multiple of (-32)/24*(-54)/(-396) + (-9618)/(-22) and 23?
437
Suppose 78*t - 3975 = 73*t. Suppose 0 = -3*x | {
"pile_set_name": "DM Mathematics"
} |
)*(-6)/(-13352). Let w = 2/5007 + d. Find the common denominator of w and -53/20.
60
Let r be (-142)/(-90) + 2/(-5). Let j = r + 2/9. Calculate the common denominator of j and -53/6.
30
What is the smallest common multiple of (3 - 5)*3 + 20 and 54?
378
Let f = -10 - -8. Let r = -1 - f. What is the least common multiple of r and 5?
5
What is the smallest common multiple of (10 + -6)/((-12)/(-9)) and 1?
3
Suppose 2*h - 4*u + 10 = 0, 0*u - 3*u = 2*h - 25. Suppose 0*l + h*l = 0. Let i = l - 9. Find the common denominator of -85/8 and i.
8
Let m = -1845645/383504 - -2/23969. Calculate the common denominator of 87/16 and m.
16
Find the common denominator of -3 + (-986)/(-36) + 4/(-18) and -43/4.
12
Let m = 160 + -66. Calculate the common denominator of 6/2 - m/9 and -53/4.
36
Suppose -7*r + 2*r = -90. What is the least common multiple of r and 12?
36
Calculate the common denominator of -45/16 and -26*(-3 - 67/(-20)).
80
Let g be ((-3)/(-3))/(4/104). Let c = g + -48. Find the common denominator of c and -25/3.
3
Find the common denominator of -5/18 and 11/132*582/(-4).
72
Let m(k) = k**3 - 5*k**2 - 3*k - 3. Let y be m(5). Let j = y + -16. Find the common denominator of j and -14.
1
Let s = 4 - 1. Suppose 0 = -4*d + s*d + 5. Calculate the lowest common multiple of 6 and d.
30
Let n(t) = -t**2 + 10*t - 11. What is the smallest common multiple of n(8) and 1?
5
Calculate the common denominator of -149/6 and (-7 + 740/4)*2/72.
18
Let q be 0 + 1 + (64 - 2). Find the common denominator of 95/6 and 6*(-12)/q - 3.
42
Suppose 6*q - 30 - 18 = 0. Calculate the lowest common multiple of 7 and q.
56
Let g = 51405983/6237385 - 6/178211. Let s = 84/55 - g. Calculate the common denominator of s and 34.
7
Let j be (-97)/(-3) + (-2)/6. Suppose j = 4*a + n, 4*a - 3*n + 8*n - 32 = 0. What is the lowest common multiple of 8 and a?
8
Let j be -4 + 1 + (-42)/(-2). Let c = j + 0. Let o(t) = 3*t - 3. What is the least common multiple of o(5) and c?
36
Let i = -1728/11 + 28495/176. Calculate the common denominator of i and 27/8.
16
Suppose p - 24 - 36 = 0. Find the common denominator of 31/5 and (-2)/(-1) - p/(-8).
10
Let z(h) = 2*h**3 - h + 1. Calculate the lowest common multiple of 7 and z(1).
14
Suppose 7*k - 20 = 2*k. Suppose -z = k*z - 10. What is the least common multiple of 2 and z?
2
Suppose -4*s + 5*s - 4 = 0, -t = 2*s - 8. Suppose -3*v + p - 5 = 0, t*p = -v + 3*p + 9. What is the least common multiple of 14/(-2 - 0 - v) and 2?
14
Let o = 2755/13 + -242971/1170. Let a = 27/10 - o. Find the common denominator of 33/7 and a.
63
Let u = 5 + 4. Calculate the lowest common multiple of 14 and 1*u - (6 + -9).
84
Let o be (104409/(-60))/(3576/10). Let b be -5*(2 + 2996/(-1490)). Let n = o + b. What is the common denominator of 29/2 and n?
16
Let b = 3512 - 1621. Let c = -3865/2 + b. Let p = 11/1708 + 55389/18788. Calculate the common denominator of p and c.
22
Let z = 64333/134407 + -100/211. Let b = z - 35047/2548. Calculate the common denominator of b and -111/10.
20
Find the common denominator of ((-12)/(-14))/((-128)/(-2576)) and -20.
4
Let j = 13 + -11. Calculate the lowest common multiple of 4 and j.
4
Calculate the least common multiple of -3*(-3 - (1/3)/1) and 6.
30
Suppose -2*b - 2*i = -32, 2*b = -0*b - i + 32. Suppose b = -f + 5*f. What is the lowest common multiple of f and 5?
20
Suppose 5*o = 3*j - 103, 2*o - 11 = 2*j - 85. Calculate the common denominator of -2 + (-1 - 32/(-14)) and j/6*(2 + -3).
42
Suppose w - 4 = -1. Let u = 6 - w. Suppose n - 16 = -u*n. What is the least common multiple of 20 and n?
20
Suppose 6 + 26 = -4*n. Let z = 16 + n. Calculate the smallest common multiple of 12 and z.
24
Let b(z) = 3*z - 3. Let h be b(2). Let o(q) = 2*q - 2. Let w(l) = l**3 + 6*l**2 - 4*l - 4. What is the least common multiple of w(-6) and o(h)?
20
Let x be 0*2/(-6)*-3. What is the common denominator of 33 and (x - 3) + 246/20?
10
Let a = 29 - 9. Find the common denominator of 97/2 and (172/a + 3)/4.
10
Calculate the smallest common multiple of 14 and (8/1)/((-10)/(-20)).
112
Let l = -17/62 + -935/434. Let t be (-41813)/(-15)*(-5)/(-2). Let g = t - 6944. Find the common denominator of g and l.
42
Let b(t) be the third derivative of t**5/20 + t**3/6 + 3*t**2. Calculate the smallest common multiple of 6 and b(-1).
12
Let k(z) = 6*z**2 + 4*z + 2. Suppose -s + 47 = 31. Calculate the least common multiple of k(-2) and s.
144
Suppose x = -1 + 17. Suppose 0 = 10*w - 17*w + 98. Calculate the least common multiple of x and w.
112
Suppose 0 = -0*q + 2*q, -3*q = -2*d + 6. Calculate the least common multiple of d and 10.
30
Let h(i) = -i**3 + 2*i**2 + 3*i - 1. Let f be h(2). Suppose -4*n = -2*n - 5*c - 16, 0 = f*c. Calculate the least common multiple of n and 8.
8
Let l(o) = o - 11. Let t be l(12). Let i be 216939/975*t/25. Let h = i - 1/16250. Find the common denominator of h and 89/18.
90
Let f = -261 - -267. Let k(o) = o - 7. Let h be k(7). Suppose h*a + 7 = a. Calculate the least common multiple of a and f.
42
Let s = 52 + -43. What is the least common multiple of 69 and s?
207
Let s be (-22)/(-10) + 16/20. Suppose 40 = 3*l + 5*h, 5*l + 2*h = s + 51. What is the least common multiple of l and 18?
90
Let f = 84082147/406 + -207099. Calculate the common denominator of -75/16 and f.
3248
Let b(y) = -y**3 + 5*y**2 + 5. Let v be b(5). Suppose -v*r - 2*z = -52, -3*r - z = 4*z - 16. Calculate the least common multiple of r and 6.
12
Let h = 3241/15264 - -13/477. Calculate the common denominator of -79/4 and h.
96
What is the common denominator of 91/4 and (-69)/48 + (-3)/(-4)*4?
16
Suppose l + 7209 = -4*s, -3*l - 7764 = -s + 13889. Let n = 43207/6 + l. What is the common denominator of n and -95/12?
12
Let k(t) = -t**3 + 8*t**2 + t. Suppose 0 = -2*q + 3*q - 13. Let u = q + -3. Calculate the lowest common multiple of u and k(8).
40
Let w be 2093/22 - 4/(-8). Let l = -9908/99 + w. What is the common denominator of -39/7 and l?
63
Suppose 5*m = -3*z - 246, -16 = 3*m + 4*z + 136. Calculate the common denominator of 29/10 and (10/m)/((-5)/(-285)).
40
Let k = -10 + 26. Let m = 22 - k. Suppose 11*i = -43 + 131. What is the least common multiple of m and i?
24
Let s = -39008/4661 + 546/79. Let g be (-49251)/1062 + 4/(-6). Let y = s + g. Calculate the common denominator of y and 123/10.
10
Let t = -2065/6 + 332. Find the common denominator of t and 37/8.
24
Calculate the common denominator of ((-1)/(-4))/((-20)/(-424)) and (4/(-18))/((-4)/237).
30
Let i = -1109 - -12165/11. Suppose 184 = -4*k - 48. Calculate the common denominator of i and k/5*15/(-9).
33
Let z(x) = 6*x**2 - 2. Let p(m) = 0*m**2 + 4*m + 9*m - 5*m + 5 - m**2. What is the lowest common multiple of z(-2) and p(7)?
132
Let y = 15 - 3. Find the common denominator of (54/y)/(2/18) and ((-12)/(-110))/(20/175).
22
Let k = 0 + 5. Suppose -s - 8 = -k*s. Find the common denominator of (34/14 - -1)/s and 9/7.
7
Suppose -6*j = 5*k - j - 95, -j = 5*k - 107. Suppose f = g - 11, -f - 19 = -2*g - 0*f. Suppose 0 = -3*m - 2 + g. What is the least common multiple of m and k?
22
Suppose 2*j = 3*d - 17 - 43, 2*d + j - 40 = 0. What is the least common multiple of 2 and d?
20
Let k = -17 + 35. What is the smallest common multiple of 28 and k?
252
Let i = -31 + 67. Calculate the common denominator of i and 21/2.
2
Let z(j) = 2*j**2 - 5*j + 6. What is the least common multiple of 2 and z(3)?
18
What is the least common multiple of ((-1)/(-4))/((-1)/(-8)) and 20?
20
Let r = 3 + -4. Let s be (3 - 4) + (-8)/r. What is the least common multiple of (-30)/(-35)*(s + 0) and 18?
18
Let y(r) = -4*r - 2. Let n = 12 + -6. What is the smallest common multiple of y(-3) and n?
30
What is the common denominator of (-195)/(-108)*(-6)/4 and 97/2?
24
Let x(w) = -w**3 + 6*w**2 - 3*w. Let z be (-4)/(-16) - (-246)/8. Suppose 5 = -2*v - 5, -3*d + 5*v = -z. Calculate the lowest common multiple of 4 and x(d).
20
Let q = -21125/24588 + -4/2049. What is the common denominator of q and -107/40?
360
Let j = -5 - -7. What is the lowest common multiple of j and (-38)/95 + (-64)/(-10)?
6
Let a = -988 + 15801/16. Find the common denominator of a and 2/(-9) - 470/396.
176
Suppose -4*f = -2*f + 2*s, 0 = 5*s + 20. What is the common denominator of -10/7 and f/(-144)*-4*49?
63
Find | {
"pile_set_name": "DM Mathematics"
} |
l(c) = 322*c**2 - 5*c - 10. Let k(i) = -46*l(i) - 5*n(i). Let x(p) = 2*p. Calculate k(x(g)).
-1288*g**2
Let o(t) be the first derivative of -t**5/20 + 3*t**2/2 + 16. Let a(r) be the second derivative of o(r). Let n(y) = -y**2. Give a(n(c)).
-3*c**4
Let z(i) = -18*i**2 - 15*i. Let t(f) = 44*f**2 + 36*f. Let k(n) = 5*t(n) + 12*z(n). Let j(l) = 3*l + 32. Calculate j(k(d)).
12*d**2 + 32
Let c(j) = 1955*j - 506. Let a(p) = -31*p + 8. Let b(x) = -253*a(x) - 4*c(x). Let l(k) = -14*k. Determine l(b(u)).
-322*u
Let b(q) = -3*q + 8*q - 9*q + 2*q. Let y(v) be the first derivative of -2*v**3/3 + 5*v**2/2 - 2. What is b(y(w))?
4*w**2 - 10*w
Let x(b) = b**3 - 6*b**2 + 8*b - 4. Let q be x(3). Let h(v) = -3*v - 7. Let u(z) = 2*z + 5. Let y(m) = q*u(m) - 5*h(m). Let i(w) = 4*w. Give i(y(p)).
4*p
Let v(g) = 2*g. Let t(p) = 3*p**2. Let q(u) be the third derivative of u**5/12 - 3*u**2. Let j = 60 + -63. Let o(i) = j*q(i) + 6*t(i). Calculate o(v(l)).
12*l**2
Let f(p) = -p + 3. Let s(c) = 2*c + 14. Let w(a) = 10*f(a) - 2*s(a). Let b(l) be the third derivative of l**4/12 + 2*l**2. What is w(b(v))?
-28*v + 2
Let r(m) = -46160 + 46160 + m**2 + 0*m**2. Let n(d) = 13*d - 26. Calculate r(n(t)).
169*t**2 - 676*t + 676
Let i(w) = 5*w + 3*w - 5*w + w. Let t(h) = -5*h - 1. Let l(a) = -1. Let z(j) = -l(j) + t(j). Give i(z(k)).
-20*k
Let k(d) = -2*d**2. Let c(f) = -2. Let o(m) be the third derivative of 0*m + m**2 - 5/6*m**3 + 0 + 1/24*m**4. Let r(t) = 5*c(t) - 2*o(t). Determine k(r(i)).
-8*i**2
Let l(a) = 27*a. Let g(w) = -5*w**2 - 40*w - 4. Calculate l(g(s)).
-135*s**2 - 1080*s - 108
Let z(n) = 2*n**2. Let h(a) be the first derivative of -2*a**3 - a**2 + 2*a - 8. Let b(q) = 7*q**2 + 3*q - 3. Let k(d) = 2*b(d) + 3*h(d). Calculate k(z(y)).
-16*y**4
Let v(c) = -3691*c. Let l(d) = -6*d**2 + 25. What is v(l(a))?
22146*a**2 - 92275
Let t(g) be the second derivative of 14*g**3 + 2*g + 17. Let i(p) = -2*p**2. What is t(i(h))?
-168*h**2
Suppose -2*x = -2*f + x + 24, 3*x + 33 = 3*f. Let k(q) = -f*q + 9*q - q. Let s(n) = -81*n. Let h(i) = 5*i. Let z(r) = 33*h(r) + 2*s(r). Determine z(k(j)).
-3*j
Let i(l) = 6*l. Let t(d) = -d. Let n(h) = -5*h. Suppose -4*z + 3*c - 12 = 0, -z + 0*c - 22 = 4*c. Let w(p) = z*t(p) + n(p). Determine w(i(a)).
6*a
Let m(s) = -s**2. Let n(l) be the first derivative of 3*l**3 - 36*l + 40. Let v(x) = -x**2 + 2. Let o(p) = n(p) + 18*v(p). What is o(m(z))?
-9*z**4
Let c(g) = -2*g. Let m(r) = -4*r + 3. Suppose -4*l + 7*l = -30. Let q(a) = -8*a + 5. Let y(p) = l*m(p) + 6*q(p). Calculate c(y(b)).
16*b
Let q(h) = -7*h**2 + 12*h - 2. Let k(v) = 2*v**2 - 2*v - 1. Let t(s) = 2*k(s) - q(s). Let z(p) = -p. Give z(t(c)).
-11*c**2 + 16*c
Let r(n) = 7*n + 6. Let l(u) = -u**2 - 41*u. Give l(r(y)).
-49*y**2 - 371*y - 282
Let f(v) be the first derivative of -4*v**2 + 80. Let w(d) = 12*d**2. Determine f(w(l)).
-96*l**2
Let p(v) = -v. Let w(i) be the third derivative of -55/24*i**4 + 0 + 0*i + 0*i**3 + 21*i**2. Determine w(p(r)).
55*r
Let j be 4/14 + 852/(-42). Let o = 23 + j. Let c(q) = 3*q + q - o*q - 5*q. Let u(r) = -r. Give c(u(x)).
4*x
Let m(w) = 8*w - 6. Let o(q) = -7*q + 5. Let a(l) = -5*m(l) - 6*o(l). Let u(k) = -14*k - 14*k - 17*k + 41*k. Calculate u(a(n)).
-8*n
Let b(m) be the first derivative of 20*m**3/3 - 77. Let u(c) = 3*c**2. What is b(u(p))?
180*p**4
Let x(m) = m. Let p(i) = -2*i - 89. Let s(n) = -2*n - 90. Let h(v) = -3*p(v) + 2*s(v). Give h(x(l)).
2*l + 87
Let u(q) be the second derivative of 0*q**3 + 0*q**2 - 5*q + 0 + 5/6*q**4. Let c(m) = 2*m**2. What is c(u(i))?
200*i**4
Let i(q) = 2*q**2. Let g = -63 + 65. Let t(a) = -g - 57*a + 2 + 76*a. Calculate t(i(x)).
38*x**2
Let m(p) = 18*p**2 - 35*p**2 + 15*p**2. Let q(o) = 39*o**2 - 47*o**2 + 4 + 0. Give q(m(v)).
-32*v**4 + 4
Let f(c) = -2730*c - 6. Let l(d) = 6*d. Calculate l(f(t)).
-16380*t - 36
Let d(p) = 144441*p**2. Let r(f) = -6*f**2. Determine d(r(j)).
5199876*j**4
Let z(h) = h. Let p(t) be the third derivative of -26*t**2 - 1/3*t**4 + 0*t + 0 + 5/6*t**3. What is p(z(o))?
-8*o + 5
Let p(t) = -4*t**2. Let y(a) = 1. Let k(x) = x - 12. Let j be k(11). Let l(v) = 3*v**2 + 3. Let g(c) = j*l(c) + 3*y(c). Determine p(g(h)).
-36*h**4
Let j(i) = 0*i**2 + 2*i**2 + 5012 - 5012. Let d(z) = -2*z**2 - 4*z**2 + z**2. Calculate d(j(k)).
-20*k**4
Let w(i) = 6*i**2 - 3*i - 3. Let v(g) = -13*g**2 + 7*g + 7. Let q(j) = -3*v(j) - 7*w(j). Let y(r) = -r - 76. Calculate q(y(d)).
-3*d**2 - 456*d - 17328
Let w(u) = 8*u**2 - 5*u. Let n(g) = 44*g**2 - 28*g. Let h(p) = 5*n(p) - 28*w(p). Let b(y) = 10*y**2. Calculate b(h(i)).
160*i**4
Let v(q) be the second derivative of -q**4/24 + 13*q**2 + 5*q. Let b(i) be the first derivative of v(i). Let c(o) = 2*o - 5. Give c(b(u)).
-2*u - 5
Let v(f) = -4*f. Let l(w) be the third derivative of 0*w + 14*w**2 - 1/12*w**4 + 0*w**3 + 0. What is l(v(o))?
8*o
Let n(z) = -16*z. Let g(h) = -39*h**2 + 11*h + 1. What is n(g(q))?
624*q**2 - 176*q - 16
Let y(k) be the second derivative of 5*k**3/6 + 62*k + 3. Let q(s) = 51*s**2. What is q(y(t))?
1275*t**2
Let w(q) = -108*q**2 + 65*q**2 + 81*q**2. Let p(n) be the second derivative of n**3/2 - n. Calculate p(w(k)).
114*k**2
Let s(q) = -3*q**2. Let g(m) = 154956*m**2 - 3. Give g(s(i)).
1394604*i**4 - 3
Let g(u) = 87*u**2 - 157*u**2 + 72*u**2. Let o(c) = -172*c**2. Calculate g(o(t)).
59168*t**4
Let w(i) = -353*i. Let h(q) = 1873*q**2. What is w(h(d))?
-661169*d**2
Let c(l) = 3*l + 50. Let k(w) be the first derivative of -w**2 - 34. What is k(c(q))?
-6*q - 100
Let k be -1 - (0 + -5)/5. Let t(i) be the third derivative of 0*i - 2*i**2 + 0 + 0*i**3 + 1/30*i**5 + k*i**4. Let w(y) = 11*y. Calculate t(w(m)).
242*m**2
Let m(u) be the third derivative of u**4/12 + 20*u**2. Let o(i) be the second derivative of -i**3 + 6*i. Calculate o(m(a)).
-12*a
Let k(w) = 4*w**2. Let o(x) = 1508*x - 1506*x + 15*x**2 + x**2. What is o(k(q))?
256*q**4 + 8*q**2
Let w(i) = 53 - 4*i - 53 + 3*i. Let o(q) = 13*q**2. Let j(h) = 42*h**2. Let g(m) = 2*j(m) - 7*o(m). What is g(w(d))?
-7*d**2
Let x(v) be the second derivative of v**4/12 + 2*v. Let d(g) be the third derivative of g**5/30 - 7*g**2. Calculate x(d(q)).
4*q**4
Let l(y) = y. Let r(u) = -22*u**2 + 66*u. Let v(o) = -66*l(o) + r(o). Let t(m) be the first derivative of -m**2 - 4. Calculate t(v(f)).
44*f**2
Let k(u) be the third derivative of u**4/3 - u**3/3 + 39*u**2. Let m(q) = 4*q**2. Give k(m(p)).
32*p**2 - 2
Let r(v) = -11*v - 4. Let d(b) = 120*b + 45. Let o(p) = 4*d(p) + 45*r(p). Let n(u) = -9*u**2. Calculate n(o(s)).
-2025*s**2
Let f(a) be the third derivative of -11*a**5/60 + 4*a**2. Let k(d) = -275 + 134 - 4*d + 141. Determine k(f(q)).
44*q**2
Let z(n) = -6*n**2 - 139*n - 7. Let d(b) = 3*b. Give d(z(q)).
-18*q**2 - 417*q - 21
Let v(q) = -5*q**2 - 6*q. Let w(z) = 11*z**2 + 13*z. Let t(s) = 13*v(s) + 6*w(s). Let d(o) = 5*o. What is d(t(b))?
5*b**2
Let r(t) = -2*t + 2 - 2. Suppose 14*g = 12*g + 4. Let w(j) = 2*j**g - 856*j + 856*j. What is r(w(m))?
-4*m**2
Let x(n) be the second derivative of n**3/6 - 10*n. Let r(q) = 85*q + 6. Let v(p) = -128*p - 8. Let b(o) = -7*r(o) - 5*v(o). Give x(b(l)).
45*l - 2
Let x(r) = -2*r**2 + 2*r + 257. Let z(c) = -4*c**2. What is x(z(n))?
-32*n**4 - 8*n**2 + 257
Let r(k) = -k. Let x(t) = -4*t**2 - 5*t - 884. Determine r(x(d)).
4*d**2 + 5*d + 884
Let a(v) = -8*v**2. Let x(d) be the second derivative of 19*d**3/6 + 52*d. What is x(a(b))?
-152*b**2
Let p(t) = -2*t - 10419. Let d(a) = -27*a - 2. Determine d(p(b)).
54*b + 281311
Let k(b) = 283*b. Let y(p) = -17*p + 4. Let l(z) = -13*z + 3. Let j(t) = -4*l(t) + 3*y(t). Calculate k(j(o)).
283*o
Let x(u) = -2*u - 5. Let v(d) = -51*d + 19. Determine v(x(w)).
102*w + 274
Let k(o) = 10*o + 112. Let i(c) = 3*c + 35. Let a(h) = -16*i(h) + 5*k(h). Let l(n) = 10*n**2. Calculate l(a(m)).
40*m**2
Let p(f) = -75*f + 28*f + 25*f + 24*f. Let n(s) = 461*s**2. Determine n(p(q)).
1844*q**2
Let w(h) be the second derivative of -h**3/3 + 2*h. Let v(i) be the first derivative of -5/2*i**2 + 0*i + 3. Determine w(v(p)).
10*p
Let b be (-4)/4 + 0/(-1). Let z(x) = -81 - x + 81 - 2*x. Let h(l) = l. Let c(j) = b*z(j) - 2*h(j). Let i(v) = -v**2. Determine i(c(w)).
-w**2
Let i(w) = -7*w**2. Suppose 2*b - 93 - 230 = -3*c, -5*c = 5*b - 530. Let v(d) = 111 - 4*d - c. What is i(v(a))?
-112*a* | {
"pile_set_name": "DM Mathematics"
} |
2*y + 7*y for y.
-1
Solve -16*q + 8*q = 16 for q.
-2
Solve -34 = 4*v - 38 for v.
1
Solve -33*n - 48 = -39*n for n.
8
Solve -7*f = -f - 30 for f.
5
Solve -20*k + 33 + 27 = 0 for k.
3
Solve 91 = 41*h - 114 for h.
5
Solve 0 = 17*h - 0*h - 68 for h.
4
Solve -4*g = -g for g.
0
Solve -6*d = 2*d + 48 for d.
-6
Solve -152 + 116 = -9*v for v.
4
Solve -6*x + 3 = -9 for x.
2
Solve 6 = -17*d + 6 for d.
0
Solve -52 = 9*u - 88 for u.
4
Solve 455*i = 452*i + 12 for i.
4
Solve 80 = 435*r - 443*r for r.
-10
Solve -4*a - 36*a = -200 for a.
5
Solve 4*r + 8 = 8 for r.
0
Solve 26 = -14*d + d for d.
-2
Solve -8*q + 20 = 60 for q.
-5
Solve -2*c - 29 = -21 for c.
-4
Solve 9*i - 21*i = 48 for i.
-4
Solve v = -0*v - 4*v for v.
0
Solve 9*m + 4 = 5*m for m.
-1
Solve 0 = -5*o + 10 + 10 for o.
4
Solve -3 = -3*i + 2*i for i.
3
Solve -4*m - 7*m = -6*m for m.
0
Solve 16*l + 136 = -18*l for l.
-4
Solve 14*n - 11*n + 12 = 0 for n.
-4
Solve -7*s + 24 = -13*s for s.
-4
Solve 0 = 12*w - 9*w + 18 for w.
-6
Solve -6*j + 17*j + 66 = 0 for j.
-6
Solve 658*i - 654*i - 16 = 0 for i.
4
Solve -8*b - 366 + 358 = 0 for b.
-1
Solve 45*l - 44*l = -4 for l.
-4
Solve n - 1 = -0 for n.
1
Solve 106*k = 87*k - 38 for k.
-2
Solve 0 = -956*f + 953*f + 18 for f.
6
Solve -2*n - 30 = 13*n for n.
-2
Solve -132*m - 16 = -128*m for m.
-4
Solve 0 = -4*g - 4*g - 16 for g.
-2
Solve 0 = 137*o - 1171 + 75 for o.
8
Solve 29*p = 111 - 227 for p.
-4
Solve 282 = 2*u - 143*u for u.
-2
Solve 84*f = 79*f + 30 for f.
6
Solve -8*h + 312 - 344 = 0 for h.
-4
Solve -33*l = -76 - 23 for l.
3
Solve -w - 2*w = 12 for w.
-4
Solve 43 = 26*p - 9 for p.
2
Solve -60 = -24*i + 4*i for i.
3
Solve -50*j + 45*j = 20 for j.
-4
Solve 32 = 17*t + 66 for t.
-2
Solve m = 6*m + 10 for m.
-2
Solve 2*t - 16 = 10*t for t.
-2
Solve -198 = -5*f - 193 for f.
1
Solve 2*l + 122 = 114 for l.
-4
Solve u + 7 = 4 for u.
-3
Solve 7*a - 29 = 6 for a.
5
Solve 0 = 5325*x - 5333*x - 88 for x.
-11
Solve -100*h - 223 = 577 for h.
-8
Solve 24*k = -50*k + 518 for k.
7
Solve 4*a = 35 - 47 for a.
-3
Solve 23*v = -48*v for v.
0
Solve 0 = -10*w - 3*w + 13 for w.
1
Solve -619 + 583 = 9*n for n.
-4
Solve -7*w = -6*w + 5 for w.
-5
Solve -69*p - 3 = -66*p for p.
-1
Solve 5*u + 15 = -15 for u.
-6
Solve -10*b + 50 + 0 = 0 for b.
5
Solve -11*i = 79 - 13 for i.
-6
Solve 21*r = 113 + 34 for r.
7
Solve -7*q + 4 = -3 for q.
1
Solve -177 - 87 = 66*m for m.
-4
Solve 4*y + 1 + 11 = 0 for y.
-3
Solve 7 = 10*v - 23 for v.
3
Solve -4*l = 2*l + 6 for l.
-1
Solve 11*u - 7 = -40 for u.
-3
Solve -6*c + 650 = 638 for c.
2
Solve 18 = 381*r - 390*r for r.
-2
Solve 0 = -3*b + 26 - 41 for b.
-5
Solve -72*s - 48 = -80*s for s.
6
Solve -64 - 32 = -48*q for q.
2
Solve 0 = -92*p + 58*p + 102 for p.
3
Solve 3*f + 4 - 7 = 0 for f.
1
Solve 0 = -232*z + 240*z - 32 for z.
4
Solve 0 = 30*i - 34*i + 12 for i.
3
Solve 2*f + 0*f = -4 for f.
-2
Solve 106*f - 105*f = 5 for f.
5
Solve -45 = 64*n - 55*n for n.
-5
Solve 20*w - 3 = 23*w for w.
-1
Solve 363*k - 355*k - 32 = 0 for k.
4
Solve 28*k + 24 = 16*k for k.
-2
Solve 0 = 19*q - 48 - 28 for q.
4
Solve 2*u = 5*u + 15 for u.
-5
Solve 18 - 83 = 13*c for c.
-5
Solve 161 = 2*n + 181 for n.
-10
Solve 91*m - 78*m = -26 for m.
-2
Solve 20*o + 20 = 30*o for o.
2
Solve -16*a + 57 = 9 for a.
3
Solve -243 = -23*b - 105 for b.
6
Solve -4 = -4*s - 0 for s.
1
Solve -12*f + 6*f - 7*f = 0 for f.
0
Solve 55*q - 7*q = 96 for q.
2
Solve 35 - 19 = 8*j for j.
2
Solve w + 36 - 33 = 0 for w.
-3
Solve 4 = -89*h + 93 for h.
1
Solve -38*t - 26 = -12*t for t.
-1
Solve -589 = -9*o - 589 for o.
0
Solve 0 = -43*h - 17 + 146 for h.
3
Solve -7*n + 0 + 35 = 0 for n.
5
Solve -134 = -16*n - 38 for n.
6
Solve 8*v - 44 = -20 for v.
3
Solve 203*k - 200*k + 15 = 0 for k.
-5
Solve -97*v + 133 = 36 for v.
1
Solve -29*v - 150 = -14*v for v.
-10
Solve 33*t = 34*t + 4 for t.
-4
Solve -15*y + 19*y = 0 for y.
0
Solve -25*j = -85*j + 540 for j.
9
Solve 46*r + 18 = 49*r for r.
6
Solve 7*z = -5*z - 36 for z.
-3
Solve -27*y + 54 = -9*y for y.
3
Solve 133*r - 14 = 126*r for r.
2
Solve -5*m + 115 = 18*m for m.
5
Solve 0 = -88*q + 825 - 33 for q.
9
Solve -9*f = 1705 - 1768 for f.
7
Solve -6*g = 129 - 99 for g.
-5
Solve 15*h + 34 = -11 for h.
-3
Solve 19*k - 72 = -15 for k.
3
Solve 0 = -2*h - 49 + 43 for h.
-3
Solve 0 = -4*z - 10 + 2 for z.
-2
Solve 25 - 19 = -2*c for c.
-3
Solve 0 = 292*r - 287*r for r.
0
Solve 3*a - 5 = -17 for a.
-4
Solve -225*z - 1 = -226*z for z.
1
Solve -152*x = -168*x + 96 for x.
6
Solve -771 = -145*m + 99 for m.
6
Solve -90 = 4*t + 14*t for t.
-5
Solve 92 = -7*f + 57 for f.
-5
Solve 26 - 20 = 3*p for p.
2
Solve 16 = 5*d - 4 for d.
4
Solve 39*i - 33*i = -6 for i.
-1
Solve -183*x - 30 = -198*x for x.
2
Solve 32*h = 29*h + 12 for h.
4
Solve 114 = 26*p + 270 for p.
-6
Solve 157*a - 158*a = -3 for a.
3
Solve 0 = -10*f + 27*f - 34 for f.
2
Solve 73*q + 16 = 77*q for q.
4
Solve 7*j = -3*j for j.
0
Solve 0 = 47*y + 24 - 24 for y.
0
Solve 15 = -2*q + 21 for q.
3
Solve t + 70 = 62 for t.
-8
Solve -23*q = -58 - 103 for q.
7
Solve 231 = -2*k + 221 for k.
-5
Solve 0 = -5*z - 29 + 49 for z.
4
Solve 2*u = -u + 3 for u.
1
Solve 2*g - 6*g = -8 for g.
2
Solve -4*t - 35 = -11*t for t.
5
Solve g = -40 + 43 for g.
3
Solve 4*z + 68 = 68 for z.
0
Solve -8*d = 5 + 27 for d.
-4
Solve 7*g = -116 + 172 for g.
8
Solve -16*a - 145 = 13*a for a.
-5
Solve -15*o = -29*o for o.
0
Solve 15*b = -263 + 218 for b.
-3
Solve -19 = 9*f - 10 for f.
-1
Solve -502*k = -508*k for k.
0
Solve -2*g = -1370 + 1384 for g.
-7
Solve -13 = 11*a - 46 for a.
3
Solve 0 = -71*a + 68*a + 3 for a.
1
Solve 0 = -4*d + 6 + 2 for d.
2
Solve 456*n - 447*n = 63 for n.
7
Solve 15*a = -50 + 125 for a.
5
Solve 9*s + 0 = -45 for s.
-5
Solve -15 = -w - 2*w for w.
5
Solve 0 = -2*u - 0*u + 6 for u.
3
Solve -6*g - 122 + 164 = 0 for g.
7
Solve -12 + 32 = -10*c for c.
-2
Solve 10*u + 39 = -21 for u.
-6
Solve 33 = 12*h - h for h.
3
Solve -b = -0*b for b.
0
Solve -31*y + 61*y = -240 for y.
-8
Solve 282 = 125*a - 93 for a.
3
Solve 0 = 4*i - 42 + 58 for i.
-4
Solve 0 = -8*z + 7*z - 1 for z.
-1
Solve 0 = -21*u - 470 + 491 for u.
1
Solve 9*i = 3*i + 24 for i.
4
Solve 0 = -15*o + 37 + 8 for o.
3
Solve -10*z = 7 - 57 for z.
5
Solve -i - 2 + 0 = 0 for i.
-2
Solve -13 = -64*w - 333 for w.
-5
Solve 0 = -8*w - 8 - 24 for w.
-4
Solve 0 = 5*h + 8*h - 39 for h.
3
Solve 13*b = -29 - 23 for b.
-4
Solve 0 = -84*c + 83*c - 1 for c.
-1
Solve -5*l - 17*l = 66 for l.
-3
Solve -114 = h - 109 for h.
-5
Solve 16*b - 10 = 21*b for b.
-2
Solve 3*u - 24*u = -63 for u.
3
Solve -5 = 89*v + 173 for v.
-2
Solve -1917*g + 144 = -1933*g for g.
-9
Solve -3 = 3*f - 12 for f.
3
Solve -9 = -9*k - 0 for k.
1
Solve 547 = 143*g - 25 for g.
4
Solve 2*o + 26 = 16 for o.
-5
Solve -71*x + 73*x + 2 = 0 for x.
-1
Solve -2*c + 47 - 31 = 0 for c.
8
Solve 0 = 25*m + 146 + 54 for m.
-8
Solve 0 = 6*f - 15*f + 45 for f.
5
Solve -22 = -16*h + 58 for h.
5
Solve 6*g - 44 = -2 for g.
7
Solve 3*j = 5*j - 4*j for j.
0
Solve 57 + 9 = 11*j for j.
6
Solve -190*p = -188*p - 12 for p.
6
Solve -17 + 12 = -5*j for j.
1
Solve -21*r + 2*r = -7*r for r.
0
Solve -6*h + 0 = 6 for h.
-1
Solve 129 = -67*a - 407 for a.
-8
Solve 0 = -6*s + 2 - 14 for s.
-2
Solve -14 = -36*h + 58 for h.
2
Solve -65*g - 12 = -69*g for g.
3
Solve -14*i - 136 = -52 for i.
-6
Solve 20 = 4*t - 8*t for t.
-5
Solve 0*f + 15 = 3*f for f.
5
Solve -21*b + 14*b - 56 = 0 for b.
-8
Solve -75*w - 21 = -72*w for w.
-7
Solve 0 = o - 25 + 27 for o.
-2
Solve -15*k + 55*k = -240 for k.
-6
Solve 66*n - 69*n = 18 for n.
-6
Solve -18*x - 36*x - 378 = 0 for x.
-7
Solve 0 = -66*c + 51*c + 60 for c.
4
Solve -760*y + 754*y = 0 for y.
0
Solve 41*x - 56*x = 90 for x.
-6
Solve 28 = -216*m + 209*m for m.
-4
Solve 4*a = -0*a - 8 for a.
-2
Solve -60*d + 161 = 41 for d.
2
Solve 0 = -v + v + v for v.
0
Solve -85*g = 40*g + 125 for g.
-1
Solve 0 = -2*p - 21 + 33 for p.
6
Solve 10*n = -1079 + 1029 for n.
-5
Solve 36*f + 4 = 32*f for f.
-1
Solve -25*v + 25 = -20*v for v.
5
Solve -14*t + 16 = -10*t for t.
4
Solve 35*z - 24*z = 22 for z.
2
Solve -10 = 7*p - 12*p for p.
2
Solve -u = -4 + 3 for u.
1
Solve 241*f - 91 = 254*f for f.
-7
Solve -6009*v + 6019*v = 0 for v.
0
Solve -11*n - 20 = 24 for n.
-4
Solve 35*s = 32 - 32 for s.
0
Solve 0 = -15*j + 16*j + 3 for j.
-3
Solve -19*a + 67 | {
"pile_set_name": "DM Mathematics"
} |
base 7) to base 16.
-26e0e1
What is 142a1c1 (base 14) in base 11?
5583a71
Convert -3693937 (base 13) to base 2.
-1000000101111111001010000
-20112121202 (base 4) to base 13
-5b840a
-4aa59 (base 11) to base 7
-423155
10111001010001110110100 (base 2) to base 14
b40788
What is 1059031 (base 13) in base 2?
10011000010000111110011
1412513 (base 6) to base 4
103130331
1111001000111010000100 (base 2) to base 12
13b4804
-3cb3e (base 15) to base 11
-123490
What is 68765 (base 10) in base 14?
1b0bb
Convert 70940 (base 14) to base 11.
175450
113014340 (base 5) to base 16
7e2ed
-3350251 (base 7) to base 10
-415507
What is 64680 (base 10) in base 8?
176250
-21132031233 (base 4) to base 14
-488c91
What is 100001101001001100000 (base 2) in base 7?
12241042
What is -2796f (base 16) in base 5?
-20142114
483627 (base 11) to base 13
20a903
What is 122120201112 (base 3) in base 16?
547d9
565715 (base 8) to base 7
1425061
-1121020210121 (base 3) to base 4
-3033311332
-110010111010110011 (base 2) to base 15
-41be3
What is 4003644 (base 8) in base 15?
15b407
-176377 (base 10) to base 9
-287844
-10111112220000 (base 3) to base 8
-7062700
Convert -20b2c (base 13) to base 9.
-88856
17ee5 (base 15) to base 16
12f2f
Convert 4400144 (base 6) to base 15.
447e7
Convert 114094 (base 10) to base 3.
12210111201
Convert 1201201012 (base 3) to base 9.
51635
What is -6ac1b (base 13) in base 16?
-2fb3c
Convert -1066955 (base 10) to base 6.
-34511335
-11110100100000011 (base 2) to base 7
-1030656
What is 4543143 (base 7) in base 11?
35682a
Convert -11123653 (base 7) to base 15.
-140a27
What is 829860 (base 11) in base 16?
144e0f
Convert -193262 (base 10) to base 12.
-93a12
-4d02f (base 16) to base 5
-40043224
What is 313430145 (base 6) in base 7?
64460636
-63231312 (base 7) to base 3
-101001001221220
Convert 1001010010011111010111 (base 2) to base 12.
9951b3
Convert -16a920 (base 13) to base 8.
-2121640
Convert -1021110301 (base 4) to base 9.
-506877
What is -1341022100 (base 5) in base 13?
-93c594
Convert -112000002010212 (base 3) to base 5.
-3401113421
54491a (base 11) to base 12
35b751
-114224551 (base 6) to base 3
-11002000100211
Convert 312550 (base 7) to base 15.
10e0d
Convert 111110221200 (base 3) to base 16.
40c68
-8765111 (base 9) to base 11
-2726196
What is -112660 (base 10) in base 14?
-2d0b2
1360675 (base 8) to base 12
1670a5
What is -11523499 (base 10) in base 8?
-53752653
426684 (base 11) to base 14
13a910
Convert -160026 (base 10) to base 12.
-78736
What is -3153532 (base 7) in base 4?
-1131201100
43551 (base 13) to base 9
205003
Convert -101221100222 (base 3) to base 4.
-310210130
What is 827b2 (base 12) in base 11?
1070a8
Convert 1111101110011110011001 (base 2) to base 5.
2023410041
Convert 1bcaea (base 15) to base 12.
556704
What is 3185281 (base 9) in base 2?
110100001011010101100
102112020001 (base 3) to base 5
24230012
-1101110111011100111101 (base 2) to base 16
-37773d
What is -1000010110111101011 (base 2) in base 3?
-111220201102
-26b73b5 (base 14) to base 9
-38214656
What is 10100100001111110 (base 2) in base 4?
110201332
Convert -34404b (base 12) to base 10.
-836411
Convert 1103320102 (base 4) to base 16.
53e12
Convert 245400053 (base 6) to base 9.
8828636
What is -405011 (base 6) in base 16?
-7dbf
286d1 (base 14) to base 9
162330
What is 12121101021 (base 3) in base 15?
22a71
What is -44de7a (base 15) in base 14?
-617d1a
-1010100100110110 (base 2) to base 3
-2012102101
Convert 118b42 (base 15) to base 9.
1518558
-71eb3f (base 16) to base 9
-15038123
Convert 218a29 (base 13) to base 10.
790448
Convert -136241 (base 8) to base 16.
-bca1
-4aba85 (base 14) to base 2
-1001110010111000100101
Convert -147727 (base 15) to base 11.
-6146a5
What is -52425 (base 15) in base 4?
-333223022
What is 296131 (base 14) in base 16?
15f18f
What is 4441221 (base 5) in base 12?
38b5a
Convert 60a2e (base 16) to base 6.
12252302
What is -34434302 (base 5) in base 16?
-4c213
95155 (base 10) to base 5
11021110
-140525 (base 10) to base 11
-96640
-1230401 (base 6) to base 16
-102c1
157a3a1 (base 12) to base 6
234054321
2447077 (base 8) to base 3
1021022110111
What is -330342 (base 7) in base 5?
-3322201
Convert ca794 (base 13) to base 4.
1121112312
What is -3c8d2 (base 14) in base 10?
-149928
Convert -1102002001121 (base 3) to base 11.
-472093
Convert 9b5ca5 (base 13) to base 4.
31333233130
Convert -83560 (base 9) to base 3.
-2210122000
What is -8992 (base 15) in base 4?
-13013222
b8067c (base 14) to base 15
82e538
60a12 (base 12) to base 2
11110101110101110
What is -21853 (base 11) in base 12?
-16387
Convert 55405 (base 10) to base 8.
154155
298310 (base 10) to base 12
124772
Convert -25534150 (base 7) to base 2.
-1000111000010111011001
112100102012 (base 3) to base 10
282425
Convert 23535221 (base 6) to base 3.
1101210021011
Convert 20538 (base 12) to base 10.
42236
-526255 (base 9) to base 16
-4c679
What is 11142113 (base 5) in base 8?
302512
What is 414a (base 16) in base 15?
4e44
5528 (base 12) to base 15
2bb2
51a (base 13) to base 4
31210
-155727 (base 11) to base 10
-241787
What is 380a675 (base 11) in base 12?
22714a1
Convert 448122 (base 9) to base 12.
10b385
Convert 20213204 (base 5) to base 15.
336d9
What is -1a638d (base 14) in base 5?
-220023121
172681 (base 15) to base 3
2010000001111
Convert -2d6a0 (base 14) to base 10.
-113820
Convert -1111000101011110111001 (base 2) to base 4.
-33011132321
Convert 123331 (base 12) to base 14.
79bdb
Convert 1341040 (base 8) to base 3.
201011122220
-179875a (base 12) to base 11
-2867533
What is -1233344032 (base 5) in base 13?
-820335
9254 (base 15) to base 8
74270
What is -1617722 (base 9) in base 2?
-11011011001111000010
Convert -a2905 (base 11) to base 15.
-2e761
What is 6c2d5 (base 15) in base 4?
1110031010
Convert -5840890 (base 10) to base 12.
-1b5818a
981a62 (base 11) to base 12
638124
What is -279700 (base 14) in base 11?
-856856
Convert 2022222202 (base 3) to base 14.
12a40
-17611136 (base 8) to base 3
-21210000001111
What is -3342417 (base 9) in base 12?
-729474
63ac77 (base 14) to base 12
1167535
What is -10aee3 (base 15) in base 6?
-25023240
-10647a6 (base 11) to base 15
-26cbe9
Convert 27877 (base 14) to base 4.
113312301
Convert 5561001 (base 7) to base 15.
d8870
301312111032 (base 4) to base 14
1a4235c
What is 235302520 (base 6) in base 5?
2120100042
-25c1c (base 14) to base 6
-1554122
Convert 31118 (base 9) to base 5.
1124020
Convert -10101001110101111010 (base 2) to base 15.
-db1d4
-273450 (base 9) to base 13
-5aa8c
What is -21233201 (base 5) in base 6?
-3511150
What is 10012312220 (base 4) in base 8?
4066650
Convert 225642 (base 7) to base 2.
1001111000000111
Convert -313430434 (base 6) to base 2.
-10100111101010010010110
-2210233011 (base 4) to base 3
-1021021121000
Convert 100001012222 (base 3) to base 4.
223131311
-629d (base 15) to base 3
-1001121011
Convert -1201011100 (base 3) to base 15.
-9e86
What is -767ca (base 14) in base 5?
-33140201
What is d48a9 (base 14) in base 11?
31a827
112013030 (base 4) to base 11
62059
What is 130a914 (base 13) in base 8?
26600644
10011110001100001 (base 2) to base 7
455063
121014430 (base 7) to base 9
15152044
-110001111220 (base 3) to base 8
-717364
Convert 1020515 (base 6) to base 9.
74732
What is 11223133 (base 5) in base 6?
2102404
What is -101100011110001010 (base 2) in base 15?
-38e89
-1428844 (base 9) to base 5
-200143104
What is 1413540 (base 6) in base 10?
79908
-10100011101100000011010 (base 2) to base 3
-101002111122222
What is -11011000111100110 (base 2) in base 11?
-76500
Convert 14216055 (base 9) to base 15.
94042b
-159469 (base 12) to base 16
-5a051
Convert -218863 (base 10) to base 9.
-363201
120101000112 (base 3) to base 6
10252405
Convert -332186 (base 9) to base 8.
-603457
Convert -b7dc (base 15) to base 8.
-113773
43b80 (base 14) to base 16
28144
-1729 (base 15) to base 14
-1b65
What is -675ca8 (base 14) in base 11?
-1a89747
Convert 111000010110010001 (base 2) to base 13.
8108c
What is 232414 (base 5) in base 13?
3b28
What is -106249 (base 10) in base 5?
-11344444
Convert 1151657 (base 9) to base 11.
397274
Convert -11668273 (base 9) to base 10.
-5714130
What is -415434145 (base 6) in base 15?
-98856b
750163 (base 12) to base 16
1c29db
158b2 (base 12) to | {
"pile_set_name": "DM Mathematics"
} |
xpand (-2 + 2 - 1)*(1 + 0 + 2 + (1 - 3 + 0)*(5 - 1 - 5))*(4*y**4 - 4*y**4 - 4*y**5).
20*y**5
Expand 23 - 23 + 8*z**5 + (3 + 2 - 3)*(z**2 - z**2 - 2*z**5) + 0*z + z**5 + 0*z + (z**4 - 2*z**5 - z**4)*(2 - 6 + 2) - 26*z**3 + 26*z**3 + 45*z**5.
54*z**5
Expand (22*d**3 + 44 - 44)*(-3*d + 4*d + 0*d)*(-25*d + 156 - 156).
-550*d**5
Expand (-5 + 2 + 1)*(-1 + 3 - 4)*(d + 69*d**3 - 63*d**3 + 43 - 47).
24*d**3 + 4*d - 16
Expand -5*y**3 + 2*y**3 + 2*y**3 + (6*y - 4*y - 3*y)*(8 + 9*y**2 - 8) + (-2 + 2 - 4*y)*(19*y**2 + 17*y**2 + 6*y**2).
-178*y**3
Expand -3*j**3 - 4*j**3 + j**3 + (-1 + 1 + 2*j**2)*(0*j - 2*j + j) + 3*j**3 - 2*j**3 + 0*j**3 + 2*j**3 - 2*j**2 + 2*j**2 - 47*j**3 - 49*j**3 + 98*j**3 - 104.
-3*j**3 - 104
Expand (1 + 2 - 2)*(-56*g + 56*g + 5*g**2)*(2*g - 2 + 2 + (-28 - 2 - 11)*(0*g - 3*g + 4*g) + 0*g - g - g).
-205*g**3
Expand -8*n**2 - 96 + 18*n + 96 + (-1 + 5 - 2)*(2*n**2 - n**2 + 0*n**2).
-6*n**2 + 18*n
Expand -2*c + 2*c + 3*c**4 + (579*c**3 - 614*c**3 + 1554*c**3)*(-2*c - 3*c + 6*c) + c**4 + 0*c**4 + c**4.
1524*c**4
Expand (5 - 4 - 3)*(1081*c + 22375*c + 3875*c).
-54662*c
Expand (3*q**3 + 1 + 1117*q**2 - 1117*q**2)*((5*q - 3*q - q)*(4 + 1 - 3) + 3*q - 3*q + 3*q).
15*q**4 + 5*q
Expand (64*t**2 - 32*t**2 - 42*t**2)*(104*t - 15*t + 4 - 4 + 115*t).
-2040*t**3
Expand (-128 + 128 + c)*(6 + 5 - 5)*(-3 - 2 + 3).
-12*c
Expand (2068 - 2068 - 38*y)*(-15*y - 8*y + 7*y) + (y - 4*y + y)*(0 + 0 - y).
610*y**2
Expand 74*l - 5*l**2 + 4*l**3 - 74*l + (-821 - 18*l + 821)*(2*l - 6*l + 2*l)*(0*l + 4*l - 2*l).
76*l**3 - 5*l**2
Expand (-4*p + 2*p + 3*p)*(4388*p**2 + 3*p - 6446*p**2 + 9*p - 6*p) + p**3 - 5*p**2 + 5*p**2.
-2057*p**3 + 6*p**2
Expand -4*i**3 - i**3 + 4*i**3 + (-2 - i + 2)*(3*i**2 - i**2 - i**2) + 3*i - 3*i + i**3 + 3*i**3 - 6*i**3 + i**3 + (i - i + 4*i**3)*(-30 - 32 + 63).
i**3
Expand -250*c**2 - 365*c**2 - 109*c**2 + (1 + 1 - 1)*(-3*c + 0 + 0)*((-1 + 0 + 0)*(-c + 2*c + 0*c) - 3*c + 0 + 0).
-712*c**2
Expand (7*k**3 - 1 + 1)*(3*k + 3*k - 4*k + (3*k - k + k)*(-1 + 1 - 2)).
-28*k**4
Expand 0*z**2 + 0*z**2 - z**4 + (6*z - 2*z - z)*(32*z**3 + 619997*z - 619997*z).
95*z**4
Expand (8 - 2*r**2 - 8)*(2*r + 0*r - 5*r) + 23*r**2 - 32*r**3 - 24*r**2 + 14 + 30*r**3.
4*r**3 - r**2 + 14
Expand (20*u + 31 - 7 - 23)*(-u - 3 - u + 1).
-40*u**2 - 42*u - 2
Expand (3 + 0 - 5 + (-324 - 142 + 41)*(-3 - 3 + 4))*((3*z**2 - z**2 - 3*z**2)*(-2*z - 2*z**3 + 2*z) + 5 - 5 + 2*z**5 + z**5 + z**5 - z**5)*(-4 + 6 + 0).
8480*z**5
Expand (-161*c**2 + 161*c**2 - 11*c**4)*(0*c - 11*c + 4*c + (0*c - 4*c + 2*c)*(0 + 4 + 9)).
363*c**5
Expand (52*k - 34*k**3 - 52*k)*(5*k - k + 9*k) + (-4*k**3 + k**3 + 2*k**3)*(0 - 3 - 2)*(2*k - 2*k - k).
-447*k**4
Expand (41 - 41 - 3*f)*(-21 + 2 - 7)*(47*f**2 + 45*f**2 - 94*f**2).
-156*f**3
Expand -863*h**4 - 2772*h**2 + 2772*h**2 + 4*h**4 + 2*h**4 - 5*h**4 + (-1 - 2*h**4 + 1)*(-2 - 1 + 5).
-866*h**4
Expand (4 + c - 4)*(-2 + 2 - 3*c) + 232*c**2 - 1157 + 223*c**2 - 457*c**2.
-5*c**2 - 1157
Expand (539*p**3 - 8*p + 543*p**3 - 28 - 1084*p**3)*(0*p**2 - 3*p**2 + 5*p**2).
-4*p**5 - 16*p**3 - 56*p**2
Expand ((1 - 1 - 3*r)*(-1 + 0 - 1) + 54*r - 9*r - 1 - 5*r)*(-r + r + 2*r).
92*r**2 - 2*r
Expand (6*w + 0*w - w)*(407 + 696 + 217 + 164 + 106).
7950*w
Expand (-108 - 188 - 112 + 51)*(104*k**4 + 120*k**4 - 186*k**4).
-13566*k**4
Expand (-2 + 4 - 4)*(183*x + 393 - 393)*(7*x + x - 4*x)*(3*x**2 - 2*x**2 - x + x**2).
-2928*x**4 + 1464*x**3
Expand (-3*a**3 - 3*a**3 + 5*a**3)*(a - a + 2*a) - a**2 + 3*a**4 + a**2 + (-7*a**2 + 2*a**2 + 1 + 4*a**2)*(-51*a**2 - 28*a**2 + 23*a**2).
57*a**4 - 56*a**2
Expand (81*z - 148*z**2 - 81*z)*(-2 + 2 + 2)*(4 + 8 - 9).
-888*z**2
Expand (-69 + 69 - 19*d)*(-2*d**4 + 2*d**2 - 2*d**2) + (-4 + 3 - 1)*(0*d**5 - d**5 - d**5) - 71*d**5 - 116*d**5 + 2*d**5.
-143*d**5
Expand (4 - 6 + 1)*(2*g + 0 + 0) - 654*g - 184*g - 100*g - 88*g.
-1028*g
Expand (3 + 2 - 15)*(-5*q + 34*q + 63*q)*(2*q**2 + 4 - 4).
-1840*q**3
Expand (4*n - 6*n + 4*n)*(-7*n**2 + 3*n**2 + 6*n**2)*(-11*n**2 - 11*n + 9*n - 2 + 13*n**2).
8*n**5 - 8*n**4 - 8*n**3
Expand (-1 + 0 + 4)*(-3 + 3 - 2*m) + 2 + 2*m - 2 + (-2*m + 0*m + 0*m)*(-4 + 3 + 3) - 201*m - 328*m - 432*m + (5*m - 4*m - 3*m)*(-3 + 6 - 2).
-971*m
Expand (0*f - f - f + (-1 + 0 + 0)*(-159*f - 8290 + 8290))*(0 - 1 - 1 + (5 + 1 - 4)*(-4 + 2 + 0) + 5 - 4 + 0 - 3 + 1 + 1).
-942*f
Expand (54 - 54 + 52*b)*(-4*b - 13*b - 2*b).
-988*b**2
Expand 23832*d**3 - 11926*d**3 - 103*d - 11934*d**3 + d**3 - d**3 + d**3 + 4 + d**3 - 4 + (0*d**2 - d**2 - d**2)*(-2 + 2*d + 2).
-30*d**3 - 103*d
Expand (4 - 33 - 8)*(-108*s**4 + 68*s**4 + 55*s**4).
-555*s**4
Expand (-3 + 67*p - 46*p + 5)*(-38*p**2 + 15*p**2 + 16*p**2).
-147*p**3 - 14*p**2
Expand f**4 + f**4 - 5*f**4 + (245*f**2 - 532*f**2 + 388*f**2)*(f**2 + 0*f**2 - 2*f**2).
-104*f**4
Expand ((20*j - 42*j - 29*j)*(2*j + 0*j - 5*j) + (3*j**2 - 5*j**2 + 0*j**2)*(-2 + 5 - 2))*(2 + 9 + 8).
2869*j**2
Expand 4*o**2 - 2*o**2 - 3*o**2 + (-3 + 19 - 3 - 3 + 3 + 1 + (1 + 2 - 2)*(0 - 2 + 1) - 1 + 0 + 2)*(-21*o + 74 + 83 - 159)*(o + 0*o - 3*o).
587*o**2 + 56*o
Expand 10*u**2 + 7 - 13 + 2 + (1 + 2*u - 1)*(3*u + 0*u + 0*u) + 0*u**2 - u**2 + 0*u**2.
15*u**2 - 4
Expand (-2*d**2 + 0*d + 0*d)*(-3*d - d + 2*d) + (-6 - 4*d + 5*d + 7)*(166*d - 173*d + 5 - 9 + d**2).
5*d**3 - 6*d**2 - 11*d - 4
Expand (-4*m**2 + 3*m**2 - m**2)*(-4*m + 5*m + 0*m) + 220*m**3 - 707 + 355 + 354.
218*m**3 + 2
Expand (4*w**2 - 3*w**2 + w**2)*(-2*w + 4*w - w + (-3 + 2 + 0)*(-w + 4*w - 2*w) - w + 0*w + 0*w)*(0 - 5 + 1)*(555*w**2 + 854 + 104*w**2 - 861).
5272*w**5 - 56*w**3
Expand (22 + 17 - 712*r + 19 - 58 - 1649*r)*(-57*r - 6*r**2 + 57*r).
14166*r**3
Expand ((-3 + 4 + 1)*(2*g - g + g) - 5*g + g + 3*g)*(59 + 6*g**2 + 32 + 3*g - 110).
18*g**3 + 9*g**2 - 57*g
Expand -662369*x + 1324743*x - 662374*x + 16838*x**4 + (-x**4 + 0 + 0)*(-1 - 3 + 2) + x**4 + x**4 + 0*x**4.
16842*x**4
Expand (2*c**3 + 3*c - 3*c)*(5 - 4 + 2148*c - 2139*c).
18*c**4 + 2*c**3
Expand (-37*p**5 + 1128*p**5 - 57*p**5)*(6 - 5 + 0)*(-14 + 4 + 29 - 2 + 38).
56870*p**5
Expand ((-2*s - 2*s + 3*s)*(0 + 1 - 2) - 1186167 + 1186167 + 1837*s)*(-2*s**2 - s + s + (4*s - 6*s + s)*(5*s - 4*s + 0*s)).
-5514*s**3
Expand 3*z**3 + 83*z**2 - 83*z**2 - 2*z**3 + 2*z**3 + z**3 + 4*z - 4*z - 2*z**3 + (2*z**3 + 3 - 3)*(-5 + 4 + 0) + 0*z**3 + 13*z**3 + 5*z**3.
18*z**3
Expand 34 - 34 + 10*n**2 + (-1 - 5 + 2)*(n**2 - n**2 - 13*n**2).
62*n**2
Expand (-2*h**3 + 2*h**5 + 2*h**3 + (2*h**5 + 1 - 1)*(3 - 5 + 4) - 5*h**3 + 4*h**5 + 5*h**3)*(-1 + 0 - 1) - 2*h**4 - 33*h - 29*h + 5*h**5 + 60*h.
-15*h**5 - 2*h**4 - 2*h
Expand 0*y + y + 0*y + (-1 + 2 + 1)*(-292*y - 129*y - 96*y).
-1033*y
Expand (70 + 48 - 32*x - 118)*(x**2 - 2*x**3 - x**2).
64*x**4
Expand (372 + 467 + 254)*(-2 + 0 + 0)*(-c**3 + 0*c**3 + 2*c**3).
-2186*c**3
Expand (5 - 11 + 26)*(3 - 2 + 3)*(0*k - 5*k - 9*k).
-1120*k
Expand (3*n**2 - 5*n**2 + 0*n**2)*(-288*n + 513*n + 323*n).
-1096*n**3
Expand (-10*v**3 + 2*v**3 - 3*v**3)*(-3*v + 7*v - 12*v) - 7*v**2 - 2*v**4 + 7*v**2.
86*v**4
Expand 0*a**3 - 3*a**3 + 4*a**3 + (-61*a + 46*a + 173*a)*(a**2 - 2*a**2 - 2*a**2).
-473*a**3
Expand ((-3*g + 3*g - g)*(1 + 2 - 1) + 71*g + 58*g - 102*g - 3)*(116*g + 174*g - 91*g).
4975*g**2 - 597*g
Expand (5*i**5 - i**5 - 3*i**5)*(-27 + 33 + 36) + (i**4 + i**4 - i**4)*(3 - 3 + 3*i) + 3*i**5 - 2*i**5 - 3*i**5.
43*i**5
Expand (3 + 2 - 3)*(-2 + 0 + 0)*(-8 - 31 + 8)*(-4*a + 6*a - a).
124*a
Expand 85*a**2 - 5*a**2 + 133*a**2 + (2*a - 3 + 3)*(a - 2*a + 2*a) - 5*a**2 - 2 + 2.
210*a**2
Expand (300 + l**2 - 20*l - 300)*(-14 + 29 - 5*l - 9).
-5*l**3 + 106*l**2 - 120*l
Expand (4 + u - 4)*(1 - 1 + 2*u) + (-u - 1 + 1)*(-29 - 122 + 404)*(8*u - 3*u - 2*u).
-757*u**2
Expand 64*p**2 + 27*p**2 - 7*p**2 - 2*p**2 + 2 - 2 + (3 - 3 - 6)*(-1 + 1 - 2*p**2) - 2*p**2 - 2*p + 2*p.
92*p**2
Expand (36*y**4 - 30*y**4 + 62*y**4)*(40 - 51 - 67 + (0 + 5 - 4)*(-1 - 2 + 4)).
-5236*y**4
Expand (0 + 0 - 107*o + 35*o)*(-37*o**4 + 21*o**4 - 157*o**4).
12456*o**5
Expand (131 - 9 + 16)*(24*d - 14*d - 18*d).
-1104*d
Expand (-992 - 873 + 971 - 785)*((0 + 1 + 1)*(-b**2 + 5*b**2 - 5*b**2) - 18*b**2 + 20 - 20).
33580*b**2
Expand -16*c**4 + 74*c**3 - 74*c**3 + (-6*c**2 + 6*c**2 + 8*c**3)*(1 - 1 + 3*c).
8*c**4
Expand (-4*t**3 - t**3 + 4*t**3)*(-306 - 257 + 154)*(0 - t + 0)*(-5 + 3 - 3).
2045*t**4
Expand (-4 - v + 4)*(-547 + 547 - 1 | {
"pile_set_name": "DM Mathematics"
} |
y 93?
90
Let k = -47 - -51. Suppose 0*q = k*q - 8. Suppose -2 = -c + q. What is the remainder when 7 is divided by c?
3
Let q = 240 - 237. Suppose -a = 5*b - 115, q*a = 7*b - 2*b + 265. What is the remainder when a is divided by 15?
5
Suppose -5*w + 2*m + 4072 = 0, -4*w - 4*m + 7*m = -3252. What is the remainder when w is divided by 30?
6
Suppose -40*n = -25188 + 22508. What is the remainder when 308 is divided by n?
40
Suppose 276*b = 2296 + 1016. What is the remainder when 21 is divided by b?
9
What is the remainder when (-26)/(-2366)*-14 + (-8062)/(-13) is divided by 42?
32
Let f(d) = 4*d**2 - 8*d - 29. What is the remainder when 1799 is divided by f(6)?
57
Let o(i) = 2*i**2 - 22*i + 12. Let f be o(12). Suppose 5*k = -9 - f. Calculate the remainder when k*(-6 + 2 + 1) is divided by 15.
12
Suppose -3*f + 7*a + 37 = 12*a, 3*f - 2*a = 23. Suppose -2*r - 183 = -3*j - 6, 0 = -3*r. Calculate the remainder when j is divided by f.
5
Let p = 32826 + -32822. What is the remainder when 7582 is divided by p?
2
Let h = 141 + -138. Suppose 11*o - 12*o + 11 = -h*a, 36 = 4*o - 4*a. What is the remainder when 46 is divided by o?
6
Suppose -4*m = 3*m - 77. Let d(r) = r**2 - 6*r + 27. What is the remainder when d(m) is divided by ((-4)/(-6))/((-46)/(-1449))?
19
Let i(v) = -75*v - 901. Calculate the remainder when 435 is divided by i(-13).
65
Suppose 5*o = 84 + 31. Let a = 253 - 259. What is the remainder when o is divided by 2 + 92/12 + 4/a?
5
Let p be -22*(8/(-16) - 0). Let m(j) = j**3 - 11*j**2 + 8*j + 8. Let o(a) = 19*a + 1. Calculate the remainder when m(p) is divided by o(1).
16
Let y(n) = -2*n - 38. Let p(t) = -t + 1. Let h(a) = -p(a) - y(a). Calculate the remainder when 45 is divided by h(-4).
20
Let g(r) = -5*r**3 - 225*r**2 - 5*r - 106. Calculate the remainder when g(-45) is divided by 20.
19
Let c(b) = -b**3 - 10*b**2 + 12*b + 12. Calculate the remainder when 1*25 + -1 + -272 + 272 is divided by c(-11).
0
Let k(q) = 90*q**2 + 294*q + 2261. Calculate the remainder when k(-8) is divided by 63.
62
Let s be (-1108)/(-7) + (-6)/21. Suppose -5*p + 3*j + 582 - s = 0, 4*p - 336 = 4*j. What is the remainder when p is divided by 8 + 8*(-63)/(-36)?
20
Let l(p) = p**2 - 10*p + 48. Suppose -4*z + 28 - 5 = -3*o, 0 = -5*o - 5. What is the remainder when 89 is divided by l(z)?
20
Let p = 203 + -201. Suppose r + 27 = p*o + 2*r, -3*r + 9 = 0. What is the remainder when 22 is divided by o?
10
Let r be (3 - (8 + 0))*(-8 + 5). Suppose -4*s = 4*s - 520. What is the remainder when s is divided by (-4 - 39/r)*-5?
32
Let k = -21 - -18. What is the remainder when (56 - -7)/(k/(-9)) is divided by 38?
37
Let r = -2595 + 2665. What is the remainder when 2233 is divided by r?
63
Let y = -136 - -237. Suppose 1199 = 6*c + y. What is the remainder when c is divided by 23?
22
Suppose -12765 = -24*x + 25352 - 29. Calculate the remainder when x is divided by 196.
19
What is the remainder when -15*2/(-12)*42/5 is divided by (-3*2/(-21))/((-10)/(-700))?
1
Let g(d) = 7*d - 130. Let k be g(19). Suppose 2*x + 4*v = 76, -k*x - 16*v = -12*v - 116. Calculate the remainder when 77 is divided by x.
37
Let b = -17 + 19. Let w be 7/(7/b)*7. Suppose -w = -5*u + 26. Calculate the remainder when 37 is divided by u.
5
Let v(k) = k**3 - 3*k**2 - 2*k - 5. Let f be v(4). Let b be f/4 - 55/4. Calculate the remainder when (-340)/b - (-34)/(-221) is divided by 5.
1
Let y(s) = 6*s**2 - 10*s - 6. Suppose -35 = -5*d + 30. Let w = 32 - d. What is the remainder when y(5) is divided by w?
18
Let d = 9042 - 8775. Calculate the remainder when d is divided by (0 + 1)/(3/54).
15
Let h = 78 + -48. Let q = -25 + h. Let i(y) = 3*y + 6. Calculate the remainder when 165 is divided by i(q).
18
Let x(j) be the second derivative of -13*j**3/3 + 90*j**2 + 3*j + 3. Calculate the remainder when 70 is divided by x(6).
22
Suppose -3*s + 2*v = -9286, -2 + 26 = 6*v. Calculate the remainder when s is divided by 35.
18
Let d = -22 + 36. Suppose -26*m + 1431 = -1871. Let j = -103 + m. Calculate the remainder when j is divided by d.
10
Suppose 9*q - 2258 = 35 - 70. Calculate the remainder when q is divided by 232.
15
Suppose -13*s = -52 - 0. Suppose 4*z - 5*y - 33 - 395 = 0, -s*y = 0. What is the remainder when 1711 is divided by z?
106
Let q(a) = 1930*a - 556. Calculate the remainder when q(1) is divided by 77.
65
Let r(z) = 7*z**3 - 14*z**2 + 31*z - 12. Calculate the remainder when 1836 is divided by r(2).
36
Let h = 6 + 110. Calculate the remainder when h is divided by 4 - (-29 - (-5 + 12)).
36
Let m(z) = 2*z**2 - 65*z - 272. Calculate the remainder when 494 is divided by m(-4).
14
Let s = 14 - -4. Let r(u) = -u**3 + 5*u**2 + 6*u + 7. What is the remainder when r(6) is divided by ((-13)/(-39))/(1/s)?
1
Let h(f) = f**2 - f - 126. Let l(p) = -4*p**2 + 57*p - 29. Let c be l(14). Calculate the remainder when h(c) is divided by 13.
10
Let g(w) = w**3 - 111*w**2 - 111*w - 5. Calculate the remainder when g(112) is divided by ((-18)/(-4))/((-2)/(-12)).
26
Let a = 354 + -367. What is the remainder when 61*((1 - 0) + 0) is divided by -1 - (a - 0 - (6 - 2))?
13
Suppose l = -29 + 33. Calculate the remainder when 32 is divided by -3 + 4 + 8 + (-8)/l.
4
Calculate the remainder when 754 is divided by -8*(1/((-24)/46))/((-16)/(-48)).
18
What is the remainder when 168/252*(-549)/(-6) is divided by 26?
9
Suppose 12 = -3*u, -14*v + 2*u = -16*v + 194. Calculate the remainder when 278 is divided by v.
76
What is the remainder when 202 is divided by (22/(-6) + 1/(-3))*(-2268 - -2249)?
50
Let i(o) be the third derivative of -o**4/3 - 7*o**3/6 + 8*o**2. Let b be i(-2). Suppose q - 5 - b = 0. Calculate the remainder when 96 is divided by q.
12
Suppose -56*c = -16494 + 2158. Calculate the remainder when 70 is divided by ((-74)/3)/(10 + c/(-24)).
33
Let p(i) = 3*i**2 - 4*i. Let w = -13944 + 14058. Calculate the remainder when w is divided by p(-3).
36
Suppose -2808 = 378*x - 414*x. Calculate the remainder when 482 is divided by x.
14
Let i(x) = -x**2 + 19*x - 9. Suppose -4*f = 3*c - f - 78, 36 = c + 3*f. Calculate the remainder when i(5) is divided by c.
19
Suppose -56*h + 1346 + 950 = 0. What is the remainder when 625 is divided by h?
10
Let i = 33325 + -30617. What is the remainder when i is divided by 108?
8
Let j(w) = 6*w**3 + 6*w**2 - 2*w + 1. Let c(x) = x**3 + x**2 - x - 1. Let y(s) = 5*c(s) - j(s). What is the remainder when 37 is divided by y(-3)?
16
Suppose 1065 = z + i + 2*i, 5*i - 2135 = -2*z. Suppose 25*a - 5*a - z = 0. Calculate the remainder when a is divided by 4.
2
Suppose 10*j - 120 = 5*j - 5*a, -a - 20 = -j. Suppose -67*i + 54*i = -1261. Let h = i - 55. What is the remainder when h is divided by j?
20
Suppose 0 = 8*p - 22*p + 56. Calculate the remainder when p/7 + (-4626)/(-63) + -6 is divided by 20.
8
Let o(p) = -3*p**2 + 14*p + 33. Suppose 0 = -100*j + 91*j + 54. Calculate the remainder when 41 is divided by o(j).
5
Let u be 22/10 - 52/(-65). Let b(p) = -10 - u + p**3 + 4*p - 2*p + 12 - 7*p**2. What is the remainder when b(9) is divided by 13?
10
Let k = 190 - 187. Suppose 134 = 4*l - 3*x, 5*x - 100 = -k*l + 7*x. Calculate the remainder when 189 is divided by l.
29
Suppose -36*g + 679 = 413 - 922. What is the remainder when 3396 is divided by g?
30
Suppose 14*r = -14*r - r + 464. Suppose 6*d - 8 - 16 = 0. What is the remainder when r is divided by d?
0
Suppose -a + 1048 = 287. Suppose -8*u - 113 + a = 0. What is the remainder when u is divided by 9?
0
Let c(j) = 7*j + 17. Suppose 0 = -9*b - 3*b + 624. Let z = -49 + b. Calculate the remainder when c(z) is divided by 9.
2
Suppose 0 = 4*f - 3*z - 272 - 5, 2*z - 128 = -2*f. What is the remainder when f is divided by 14?
11
Let v be (2 - -4)*3/6. What is the remainder when -2*v*-2*51/9 is divided by 14?
12
Calculate the remainder when 19 + 198/(-18) - 72*-1 is divided by 13.
2
Let y(z) = -7*z + 7. Suppose 2*h = -5*a + 9*a + 1038, -h + 546 = -5*a. Calculate the remainder when h is divided by y(-7).
53
Suppose -37*k + 2 = -35*k. Suppose 2*x + x = 96. Calculate the remainder when x is divided by (k*-3)/(41/(-123)).
5
Let c = -3396 - -3412. Calculate the remainder when 4878 is divided by c.
14
Suppose 4*m - 6*m = -282. Calculate the remainder when m is divided by 348/8*(-146)/(-219).
25
Let b | {
"pile_set_name": "DM Mathematics"
} |
255*x + 52814593 - 52814593 for x.
0
Solve 11232*n - 11777*n - 21800 = 0 for n.
-40
Solve -408*k - 1422*k - 30996 = -108*k for k.
-18
Solve 706*w - 71*w + 56088 = -687*w - 46*w for w.
-41
Solve -512*w + 4237 = -115*w + 18132 for w.
-35
Solve 148187*p = 155121*p - 48538 for p.
7
Solve 6554*m = 3202*m - 281568 for m.
-84
Solve 498*y - 225*y + 1149*y = 29862 for y.
21
Solve -718*g - 704*g + 14734 = 683*g - 1966*g for g.
106
Solve 0 = 917*a - 1074*a - 5809 for a.
-37
Solve 187*v = -6*v - 1544 for v.
-8
Solve 25400 + 13499 + 11601 = 389*w + 111*w for w.
101
Solve -120*k - 18774 = 4749*k + 15309 for k.
-7
Solve 1054*a - 707*a - 28801 = 0 for a.
83
Solve 36*x + 934 + 1039 + 423 - 164 = 0 for x.
-62
Solve -193*b - 160 = -1704 for b.
8
Solve -946 - 7528 = -561*j + 784*j for j.
-38
Solve -4293*q = -5574*q + 21777 for q.
17
Solve -393 = -3588*j + 3457*j for j.
3
Solve 366*r - 1243*r + 848*r + 3248 = 0 for r.
112
Solve 730*k + 195021 = -6493*k for k.
-27
Solve 106*o = 504*o - 11144 for o.
28
Solve -2002*l - 501413 = -581493 for l.
40
Solve -560*w - 481*w = 676*w - 413*w - 32600 for w.
25
Solve -69052*z = -68976*z - 3572 for z.
47
Solve 1901*k - 3582*k - 3098*k - 9558 = 0 for k.
-2
Solve 24938 = -223*o + 18025 for o.
-31
Solve -81152 + 42256 - 291476 = 7182*m for m.
-46
Solve 340 - 917 + 334 = -81*h for h.
3
Solve 0 = 4471*j - 1589*j - 2119*j + 13776*j - 901418 for j.
62
Solve 3140 = -5545*i - 20219 + 60255 + 234809 for i.
49
Solve 209*c + 358 = -330 - 984 for c.
-8
Solve 156767 + 81602 = 5573*y + 2608*y + 66568 for y.
21
Solve 0 = 2748*z - 1648*z - 39600 for z.
36
Solve -54413 = 3438*q + 344*q + 17445 for q.
-19
Solve 3842 + 1809 + 3013 = 132*a + 20*a for a.
57
Solve 1291*o - 1191*o + 1496 + 3004 = 0 for o.
-45
Solve -2372*l - 39371 + 40837 + 60206 = 0 for l.
26
Solve 1529*i = -259*i + 206*i - 1214*i + 78288 for i.
28
Solve -28*u + 202 = 11*u + 406 + 1083 for u.
-33
Solve 347*j - 2161 - 2243 = -30776 for j.
-76
Solve 533*t - 157*t + 1433*t + 60294 = 263*t for t.
-39
Solve -147*s - 257*s = -3188*s - 722*s - 315540 for s.
-90
Solve -189210 = -11174*l + 16580*l for l.
-35
Solve 15845 = 990*c + 21785 for c.
-6
Solve 597*y - 99*y = -238*y - 478*y for y.
0
Solve 0 = -53*d + 83*d + d + 148*d for d.
0
Solve 0 = 16*q + 86*q + 415*q - 43945 for q.
85
Solve 643623*g - 4096 = 643495*g for g.
32
Solve 0 = -94*j + 114*j - 493 - 338 + 11 for j.
41
Solve -233255 = -416*t - 214535 for t.
45
Solve -2153*r + 1183 - 753 - 401 - 10794 = 0 for r.
-5
Solve -400253*g + 442 - 142 = -400258*g for g.
-60
Solve 48*g - 509*g = 3046*g + 294588 for g.
-84
Solve 502*g = 3164*g - 34236 - 9749 - 3931 for g.
18
Solve -1308 = 848*r + 446*r + 701*r - 43203 for r.
21
Solve -150*z - 364 = 850 + 436 for z.
-11
Solve -2413 + 1705 + 1639 = 19*v for v.
49
Solve -4890 - 5975 = 345*a - 860 for a.
-29
Solve 11*x + 2563 = 40*x - 19*x + 1323 for x.
124
Solve 1888404*f = 1888333*f + 6958 for f.
98
Solve 2479 + 6452 = -229*s for s.
-39
Solve 1546*v - 572*v + 899*v + 1738*v = -176939 for v.
-49
Solve 489*p = -147*p - 1011*p + 131760 for p.
80
Solve 1389*t = -28920 - 48183 - 47907 for t.
-90
Solve 1475*u - 3264 = 1161 for u.
3
Solve 344*r + 148526 = 148182 for r.
-1
Solve -3967*i - 5437*i + 305508 = -4824 for i.
33
Solve 464*l - 32470 = -7414 for l.
54
Solve 96*p - 56*p - 20 = 35*p for p.
4
Solve -3185*l - 41159 + 32932 = 45932 + 41391 for l.
-30
Solve 209*d + 26656 = -82*d - 284*d + 183*d for d.
-68
Solve 708*s - 61827 = -939 for s.
86
Solve -52*j - 37*j = -47*j - 1512 for j.
36
Solve 260*p - 1925 - 55 = 5820 for p.
30
Solve 3495 - 7789 = 368*i + 2519 + 7171 for i.
-38
Solve 69*m = -52*m - 9*m - 3510 for m.
-27
Solve 356*d - 975*d - 156044 + 36650 = 587*d for d.
-99
Solve 1233*o - 32831 = 15256 for o.
39
Solve -30*g + 776 = -26*g - 101*g for g.
-8
Solve 1161*c - 8624 = 2445*c - 1186*c for c.
-88
Solve 0 = -251*z - 983 + 6505 for z.
22
Solve -1811*v - 772*v = 185976 for v.
-72
Solve -960*r + 12917 = -4010 + 607 for r.
17
Solve 691 + 209 = -67*y + 92*y for y.
36
Solve 151*j + 1121*j + 49708 = -190*j for j.
-34
Solve 22370*t - 22316*t = -1944 for t.
-36
Solve -297*g + 1161 = -196*g + 7423 for g.
-62
Solve 176*o + 134*o + 6*o + 253*o = -34140 for o.
-60
Solve 93*x + 237*x = -230*x + 27410 + 10670 for x.
68
Solve 736*s - 10603 - 10741 = 0 for s.
29
Solve -1216*s = 996*s + 55300 for s.
-25
Solve -495 - 13977 = 1540*x + 147228 for x.
-105
Solve 11*x + 22414 + 6713 = -500*x for x.
-57
Solve 917*c - 2707*c - 4272*c = 5483*c + 531070 for c.
-46
Solve -258*p - 4721 + 4182 = -386*p + 7653 for p.
64
Solve -724*z = 31676 - 93216 for z.
85
Solve 3693*o - 65164 - 72249 - 32561 = -780*o for o.
38
Solve -2021*b - 1012 + 5064 = 1160*b - 8672 for b.
4
Solve 1610*w - 24855 - 72941 = -31166 + 52510 for w.
74
Solve -3046*h + 158729 = 19467*h - 580824 + 199241 for h.
24
Solve 63 + 92 = 272*a - 117 for a.
1
Solve 1305 - 224 = 77*x - 3321 - 3375 for x.
101
Solve 7933*l = 7789*l + 443 - 11 for l.
3
Solve 1523*p - 36 - 70022 = 0 for p.
46
Solve -4810*w + 640 + 2538 + 2212 = 580 for w.
1
Solve -1673244*z = -1673155*z - 6675 for z.
75
Solve 111 = 34*k - 713 - 117 - 725 for k.
49
Solve -329086*p = -329442*p + 9612 for p.
27
Solve 357*h - 1085 = 388*h for h.
-35
Solve -87*v - 1826 = 1147 - 1108 + 1354 for v.
-37
Solve -663*w - 245720 = 803*w + 2631*w + 217241 for w.
-113
Solve 0 = 88*d - 527 + 126 - 567 for d.
11
Solve -3725 + 3890 = 55*j for j.
3
Solve -9*z = 3 + 119 + 256 for z.
-42
Solve 390*f - 14785 - 27815 = -320*f for f.
60
Solve 6185*o - 19114 = 5493 + 160943 for o.
30
Solve -14977 - 7083 + 5139 = 4713*j + 16070 for j.
-7
Solve -7896 - 6062 = 424*i + 3002 for i.
-40
Solve -26848*l + 205128 = -9754*l for l.
12
Solve 7948*v = 7095*v - 31561 for v.
-37
Solve 108641 = 2863*v + 297599 for v.
-66
Solve -12640*y = -12540*y + 11700 for y.
-117
Solve -107*j + 20756 = -1080*j + 110272 for j.
92
Solve 0 = 6*x - 140*x - 557442 + 550876 for x.
-49
Solve 333*p = 288*p - 1402*p + 162064 for p.
112
Solve -601*t - 3017 - 20114 = 10525 for t.
-56
Solve -4016 + 1152 - 2674 = 78*g for g.
-71
Solve 294*x - 461*x - 189*x = 883*x - 45843 for x.
37
Solve 11738 = -1174*u - 8798 + 5274 for u.
-13
Solve 1514*w - 2944*w = -1486*w - 3360 for w.
-60
Solve 87*n - 9757 = -10714 for n.
-11
Solve 0 = 117*a + 52*a - 26*a + 9438 for a.
-66
Solve 90894 - 68901 = -2819*x - 103838 - 85594 for x.
-75
Solve 0 = 540*p - 186*p + 239*p + 84*p + 73793 for p.
-109
Solve -12208 = 14*t - 11354 for t.
-61
Solve -90*v + 24*v + 1664 = 6482 for v.
-73
Solve 261*r - 188*r - 2292 = 777*r + 6860 for r.
-13
Solve 120*g - 2160 = 346*g - 122*g - 124*g for g.
108
Solve 11*n + 65 = -40 - 126 for n.
-21
Solve -27*d = -119*d - 6*d + 1372 for d.
14
Solve 602*a - 288*a - 918 = 297*a for a.
54
Solve 130*y + 227*y = 35*y + 19*y - 6969 for y.
-23
Solve 0 = 83*n + 1809 - 2214 + 1982 for n.
-19
Solve -182*r + 24*r + 2641 = -0*r - 9051 for r.
74
Solve -211832*a + 211869*a - 183 = -812 for a.
-17
Solve 2132*n - 29751 - 43786 = 8724 + 20075 for n.
48
Solve 5453*i + 628848 = 14187*i for i.
72
Solve 10710986 - 10713265 = -53*z for z.
43
Solve -106429 = 138*w - 94423 for w.
-87
Solve 56130 = 513*u + 46383 for u.
19
Solve 0 = 822*r + 14123 - 4259 for r.
-12
Solve -4476 = -463*v + 8057 + 3209 for v.
34
Solve 0 = -19*i + 253313 - 253978 for i.
-35
Solve 0 = 819656*k - 819601*k - 3417 + 392 for k.
55
Solve 4726*m - 1767*m - 175 = 236545 for m.
80
Solve 318*v + 84132 = 289*v - 1529*v for v.
-54
Solve -1260 = 306*a + 583*a + 178*a + 1941 for a.
-3
Solve 6795 = 446*y - 322*y - 275*y for y.
-45
Solve -7145469 = 73*a - 7140067 for a.
-74
Solve -12621*w - 13416 = -13137*w for w.
26
Solve 0 = -3402*i + 134665 + 47201 + 29058 for i.
62
Solve 651*w + 179*w + 503*w = 286*w - 137157 for w.
-131
Solve 24219 = -183*h + 8847 for h.
-84
Solve 695 = 839*y + 19992 for y.
-23
Solve -1180*c = -3764*c - 193800 for c.
-75
Solve 1494000 = 41*p + 1493016 for p.
24
Solve -1454*y + 16412 = -81*y - 64 for y.
12
Solve -994*l - 923*l = -691*l + 296*l + 13698 for l.
-9
Solve -1721*p - 635*p - 2280 - 27139 = -93*p for p.
-13
Solve 0 = 815*w - 24602 - 15333 for w.
49
Solve -263*i = 687*i + 328*i - 824*i + 32688 for i.
-72
Solve -302*a + 224 = -1088*a - 53282 + 1630 for a.
-66
Solve 384*z + 6750 = -939*z - 9126 for z.
-12
Solve 636* | {
"pile_set_name": "DM Mathematics"
} |
7*k**2 + 18*k - 1
Expand (2*m**2 - 2*m**2 + m**4)*(-2 + 1 - 11)*(-1 + 4 - 2)*(0*m + m + 0*m + (-2 - 2 + 5)*(80*m - 175 + 175)).
-972*m**5
Expand (3*a + 3*a - a)*(6 - 4 - 99).
-485*a
Expand (21455 - 3*p + 21398 - 43307)*(2 - 4 - 3).
15*p + 2270
Expand (0*b**3 + b**3 + 6*b**3)*(-4089 - 527*b + 10*b + 4089).
-3619*b**4
Expand v**3 - 2*v**3 + 0*v**3 + (-114 - 46 - 6)*(2*v**3 + 3*v**3 - 3*v**3) + 22*v**3 - 58*v**3 + 22*v**3.
-347*v**3
Expand (5 - 4 + 1)*(-4*r**3 + 4*r**3 + r**4) + (6*r**3 + 5*r**3 + 5*r**3)*(-3*r + 10*r + 14*r).
338*r**4
Expand (2*v**4 + v**4 - 5*v**4)*(1 - 1 - 3*v) - 2*v**5 + 3*v**5 - 3*v**5 + 2976 - 2978 - 2*v**5 + 23*v**2 + 3*v**2.
2*v**5 + 26*v**2 - 2
Expand 3*v + v + 0*v + (0*v + 4*v - v)*(9 - 20 + 17)*(3 - 5 - 1).
-50*v
Expand (-2*b + 3*b - 4*b + (1 + 5 - 2)*(-2*b + 5*b + 4*b))*(-2 - 3 + b**2 - 2*b + 8).
25*b**3 - 50*b**2 + 75*b
Expand 27*m**2 - 27*m**2 - 23*m**5 + (m**3 - m**4 - m**3)*(-4*m + m - m) + 13 - 13 - 19*m**5.
-38*m**5
Expand (-28 + 1 + 83)*(h + 4*h - 3*h) + 88*h + 585 - 585 + (3 + 0 - 2)*(2*h - 3*h + 0*h).
199*h
Expand (-444*w + 7*w - 290*w**2 + 292*w**2)*(-2 + 16 + 9)*(-2*w**2 + w - w).
-92*w**4 + 20102*w**3
Expand 34*d**2 - 2331*d**5 - 4*d**2 + 57*d**2 + 2403*d**5 + (6*d**5 - 3*d**5 - d**5)*(3 + 3 - 4).
76*d**5 + 87*d**2
Expand (10 + 2*y**2 - 10)*(-1140 + 625 - 655 + 2*y - 532).
4*y**3 - 3404*y**2
Expand (-5*x - 4*x + 3*x)*(3*x + 3*x - 2*x) - 3*x**2 - 3*x**2 - 5*x**2 + 0*x**2 + 3*x**2 - 4*x**2.
-36*x**2
Expand (19 + 14*r**2 - 19)*(5*r**3 - 4*r**3 - 9*r**3) + 1 + 2*r**5 + 1 + 1 + 7*r**5 - 15*r**3 + 15*r**3 + 2*r**4.
-103*r**5 + 2*r**4 + 3
Expand (160*d**2 - 160*d**2 + 35*d**3)*(3*d + 3*d + 5*d)*(-3 + 3 - 1).
-385*d**4
Expand ((-x + 4*x - x)*(x + 0*x - 3*x) - 671*x**2 - 767*x**2 - 116*x**2)*(-3*x - 3 + 7 - 2).
4674*x**3 - 3116*x**2
Expand -33*a**2 + 13*a - 13*a - 26*a**2 - 156*a**2 + 47*a**2 - 97*a**2 + (2*a - 2 + 2)*(-2*a + 0*a + 0*a).
-269*a**2
Expand (-2 + 0 + 5)*(774*u + 177375 - 177375) + (-1 + u + 1)*(-1 - 2 + 1) + 2 - 2*u - 2 + u + 0*u + u.
2320*u
Expand (126 - 667 - 161)*(l - l + 2*l**3)*(7*l + 2*l - 5*l).
-5616*l**4
Expand (-3 + 2 + 2)*(56*h**3 + 49*h - 49*h)*(0 - 5 + 1 + (-2 + 1 + 6)*(2 - 1 - 3)).
-784*h**3
Expand (x**3 + x**3 - 4*x**3)*(-2*x + 2*x + 3*x**2) - 1408*x - 2*x**5 + 6*x**5 + 1431*x.
-2*x**5 + 23*x
Expand (6*f**2 - 59*f + 59*f)*(-45 - 154 + 39)*(1 - 1 - 2)*(3 - 4 + 0).
-1920*f**2
Expand (268*z - 742 + 1486 - 742)*(-10*z + 14*z + z).
1340*z**2 + 10*z
Expand (-67*g**3 + 25*g**3 - 35*g**3)*((4 + 2 - 4)*(-g + 2*g + 0*g) + 3 - 3 - g + 0*g - 2*g + 0*g + 0 + 0 - 2*g)*(0 + 3 - 2).
231*g**4
Expand (553 - 1509 - 413)*(a + 1 - 1)*(-4*a - 58 + 58).
5476*a**2
Expand ((-1 + 0 - 1)*(-s**2 - s**2 - s**2) + s**2 + 1 + 1 + 2*s - 3*s)*(183*s + 45997 - 45997) - 4*s + s**3 + 4*s + (s + 2*s - s)*(s - s + s**2).
1284*s**3 - 183*s**2 + 366*s
Expand (-4*n + 9*n - 10*n)*(40 + 288 + 209).
-2685*n
Expand (-1390*d + 21 + 1389*d + 20)*(4 - 4 + 3*d**2).
-3*d**3 + 123*d**2
Expand 2*o**3 - 4*o**3 + 0*o**3 + (-3*o + 6*o - o)*(2*o**2 - 2*o**2 + 2*o**2) + 1 - o**3 - 1 + 19233*o**2 - 19233*o**2 + 19*o**3 + 8*o**3 - 4*o**3 + 17*o**3.
41*o**3
Expand 3 - 2*m**3 - 3 + (-8*m**2 + 4*m**2 - 6*m**2)*(22*m - 33*m - 36*m)*(-5 + 17 + 1).
6108*m**3
Expand -2*y - 22 + y**2 + 22 + y**3 + (-16*y + 117 - 117)*(0*y**2 - y**2 - 6*y**2).
113*y**3 + y**2 - 2*y
Expand (25 - 7*x - 8*x - 29)*(-596 - 59*x + 596).
885*x**2 + 236*x
Expand (2*u**2 - u**2 - 2*u**2)*(-2*u**3 + 2*u**3 + 2*u**3) + (2 - 2 + u)*(-5 + 4 + 4)*(-4*u + 12*u**4 - 6*u**4 - 14*u**4).
-26*u**5 - 12*u**2
Expand (-1 + 5*k + 0*k - 34*k)*(-16*k**3 + 6*k - 6*k).
464*k**4 + 16*k**3
Expand (7*i - 2 + 1 + 2)*(i - 5*i + 3*i + (-2 + 3 - 2)*(i - 5 + 5) + 54*i - 42*i + 63*i).
511*i**2 + 73*i
Expand (4 - 5 + 3 + (-1 + 3 - 1)*(1 + 0 + 0) - 1 - 1 + 3 + 4 - 1 - 5 + 1 + 2 + 4 + 2 - 7 + 0)*(z + 2 + z - 4*z)*(z - z + 2*z**2).
-16*z**3 + 16*z**2
Expand (k + 0*k + 0*k)*(-2*k + 4*k + 0*k) - 44*k**2 + 102*k**2 + 123*k**2 + (0*k**2 + k**2 + 2*k**2)*(0 - 1 - 1).
177*k**2
Expand (-6*s - 4*s**2 + 6*s)*(232*s + 1 - 508*s + 227*s).
196*s**3 - 4*s**2
Expand (0 + 0 - 3)*(-2503*v + 3017*v + 6429*v + 1650*v).
-25779*v
Expand (-215*c + 191 - 191)*(-2*c - 2*c - 4*c) - c**2 + 2*c**2 - 2*c**2.
1719*c**2
Expand (a**3 + 0*a**3 - 8*a**3)*(-5*a + 3*a + 0*a) + (16*a**2 - 12*a**2 - 6*a**2)*(-1 + 1 - 2*a**2).
18*a**4
Expand (-8*w**2 + 6*w**2 + 3*w**2 + 13*w**2 - 3)*(5 - 4 + 5).
84*w**2 - 18
Expand (-3*q**2 + 3*q**2 - 3*q**2)*(2*q**2 - 3*q**2 - 2*q**2) + (5*q**3 - 9*q**3 - 5*q**3 + (0*q**3 + 2*q**3 - q**3)*(3 - 1 + 0))*(0*q + q - 5*q).
37*q**4
Expand (-4*h**3 + 2*h**3 - 2*h**3 + (1 - 1 - h**2)*(5 + 2*h - 5) - h**3 + 0*h**3 - 5*h**3)*(2*h + h + 0*h).
-36*h**4
Expand (-2*u**2 - 5*u**2 + 5*u**2)*(-u**2 + 3*u**2 + 0*u**2) + 245*u**2 - 493*u**2 + 245*u**2 - 63*u**4 + (u**2 + 0*u**2 + 0*u**2)*(-4*u**2 + u**2 + 0*u**2).
-70*u**4 - 3*u**2
Expand (h - 3 + 3)*(2 - 1 - 2) + h + 4*h + h + 2*h + 3*h - 4*h + (2 - 2 + h)*(1 - 6 + 3) - 7*h + 7*h + 11*h.
15*h
Expand (-20310*r + 2 - 9895*r - 2)*(0*r**2 + 0*r**2 - r**4).
30205*r**5
Expand (1 + 12 + 4)*(-5 + 5 - x)*(-11 - 12 - 8)*(6*x**2 - 20 + 20).
3162*x**3
Expand (-100*i**2 - 759*i**2 + 1501*i**2)*(0 + 6 - 3).
1926*i**2
Expand (-12*l + 9*l**3 + 12*l)*(-3*l**2 + 0*l**2 + 2*l**2) - 2*l**5 + l**5 + 3*l**5 + (-2*l**4 - 2 + 2)*(2*l + 4*l - 4*l) + 5*l**5 + 19*l**5 - l**5.
12*l**5
Expand -809*b + 782*b + 580*b + (4 - 3 + 0)*(b - 5*b + 3*b) - 1 + 1 - 2*b - 2 + 2 - 4*b.
546*b
Expand ((4 - 8 + 3)*(4*t - 3*t + 0*t) - t + 7*t + 32*t)*(t**2 + 0 + 0) + 400*t - 2*t**3 + t**3 - 400*t.
36*t**3
Expand (-6*q + 5 - 5)*(-3 + 0 + 5 + (-3 + 6 - 1)*(-3 - 2 + 6) + 0 + 0 + 1 - 1 + 3 + 0 + (0 - 6 + 4)*(-26 - 30 + 77)*(3 - 1 + 1)).
714*q
Expand (24 + 24 + 13)*(3*x - x - 4*x) + (-17*x + 12*x + 20*x)*(-11 - 4 + 10).
-197*x
Expand (-25 + 106 - 47)*(5446 + 124*m - 5446).
4216*m
Expand (6*u**2 - 2*u**2 - u**2)*(3 + 1 - 3) + 2*u**2 - 1 - 7*u - 1 + 5*u + (-2 - 5 - 2)*(2*u**2 - 4*u**2 + 12 + 10).
23*u**2 - 2*u - 200
Expand (2*v**2 + v - v)*(-974 - 967 + 1997 + (-2 + 0 - 1)*(-5 + 2 + 0)).
130*v**2
Expand (8 - 1 + 7)*(y**2 - 2 + 2) + 3*y**2 + 2*y**2 - 7*y**2 + (-1 - 2 - 1)*(-2*y**2 + 5*y**2 - y**2).
4*y**2
Expand (16 - 16 - 4*i**2)*(-4 - 4*i + 4) + 589*i**3 - 1070*i**3 + 644*i**3.
179*i**3
Expand (3*y**2 - 2*y**2 + y**2)*(384*y + 382*y + 378*y - 20094 - 1143*y).
2*y**3 - 40188*y**2
Expand (-2*p - 11 - 3 + 3*p + p**2)*((-p + 8*p - 2*p)*(2*p**2 + p**2 - p**2) + 11*p**3 + 8*p**3 - 2*p**3).
27*p**5 + 27*p**4 - 378*p**3
Expand -2593 + 2593 + 1132*d - 3*d + 2*d - d - 1 + 1 - 2*d + (0*d + 3*d - 5*d)*(-3 + 2 + 2) + 2*d + 3 - 3.
1128*d
Expand (5*u**3 + 3*u**3 - 34*u**3)*(-10 - 62 + 21) + 3*u**3 - 2*u**3 - 2*u**3 + 1 - 1 - u**3 + (0*u**2 + 2*u**2 - 3*u**2)*(0*u + 2*u + 0*u) - u**3 + 0*u + 0*u.
1321*u**3
Expand (-38*c**4 + 6*c**4 - 51*c**4 + (-5*c + c + 2*c)*(c**2 + c**3 - c**2))*(12*c - 3*c + 3*c).
-1020*c**5
Expand (0 - 2 + 0 + 2 - 3 + 0 - 3 + 4 - 3 + 3 - 2 + 0 + (4 - 2 - 3)*(2 - 5 + 1) + 0 + 2 - 1 + 3 - 5 + 1)*(46 + 255 + 284)*(1 - 4*x - 1).
4680*x
Expand -p - 2*p + p - 5*p + p + 3*p + (-3 + 0 + 4)*(-3*p - 2*p + 3*p) + 3 - p - 3 + 2*p - p + 0*p - 2 - 63*p + 167*p - 31*p.
68*p - 2
Expand (3*a - 2*a - 3*a)*(79 + 23 - 3)*(5 - 4 - 4).
594*a
Expand 12*l**3 + 15*l**3 + 3*l**2 - 31*l**3 + (1314 - 1314 - 49*l)*(-6*l**2 + l**2 + 2*l**2).
143*l**3 + 3*l**2
Expand (f + 3 - 3)*(-4*f**4 - 2*f**4 + 4*f**4) + 4*f**4 + 94850489*f**5 - 4*f**4 - 94927111*f**5 + (-2*f**2 + 3*f**2 + f**2)*(-2*f**3 + f**3 + 3*f**3).
-76620*f**5
Expand (-3*x - x + 3*x)*(1 - 4 + 2) + 3*x + 3*x - 2*x + 2*x - x + 0*x + 11*x + 9*x + 196 - 199.
26*x - 3
Expand 101*v**4 + 92*v**4 - 192*v**4 + (2*v**3 - 3*v**3 + 3*v**3)*(-v + 0*v + 7*v).
13*v**4
Expand (-2 + 0 + 1)*(-1 + 4 - 4)*(-26 - 20 + 45)*(-57*i + 3*i - 41*i + 22*i).
73*i
Expand (5 + 1 - 4)*(-10*q + q - 4*q) - 11*q - 3*q - 3*q + q - 3 + 3 + (0 + 0 - 2)*(-2*q + q + 0*q) - 3*q + 10*q - 5*q.
-38*q
Expand (-u**3 - u**3 + 0*u**3)*(139 + 108 - 29)*(10 + 0 - 1).
-3924*u**3
Expand (0 + 0 + u + 5 - 5 + 3*u + (-u + 5*u - 5*u)*(3 - 19 - 13) - 2 + 2 - 2*u)*(-u**2 - 18*u**3 - 51*u + 51*u).
-558*u**4 - 31*u**3
Expand ((-2*b + 3*b + 0*b)*(0 + 1 + 1) - 157*b - 586 + 586)*(-31 - 5*b + 31).
775*b**2
Expand ((0 - 1 - 1)*(-q + 2*q + 0*q) - 4285*q | {
"pile_set_name": "DM Mathematics"
} |
-1/5, f, -0.3?
-1/5
Let f = -162 + 162.4. Which is the closest to 14? (a) f (b) 2 (c) -1
b
Let u = -0.15 - 3.85. Let w(o) = o**3 - 5*o**2 - 4*o - 2. Let x be w(6). Let s be ((-1)/x)/((-3)/(-12)). What is the closest to 2/7 in u, 1/3, s?
1/3
Let j = -330 + 331. What is the closest to 6 in 0.1, 3/5, -2, j?
j
Let c = -64 + 26. Let t = -42 - c. What is the closest to 1 in -1, t, -2/7?
-2/7
Let j = -9.08 - -9. Let x = -0.52 + j. Let r = 4.4 - x. What is the closest to 1 in r, 4, 0?
0
Let x = -2621 - -2606.91. Let k = x - -14. Let a = k - 0.21. What is the closest to -0.1 in 2/19, a, -0.2?
-0.2
Let f = 0.288 + -3.288. Which is the closest to 0.1? (a) f (b) -45 (c) 2
c
Let i(s) = 2*s**2 - 50*s - 607. Let m be i(-9). Let v = -0.01 + -0.05. Which is the nearest to v? (a) m (b) -0.2 (c) -5
b
Let z = 0.58 + -0.88. Let d = 4.88 + 0.12. Which is the closest to 0? (a) 4 (b) z (c) d
b
Let g = 4/119 - -440/1071. Let a = 0.035 + -0.035. What is the nearest to a in g, 0.3, -5?
0.3
Let i = -944.94 + 945. What is the closest to i in -5/3, 4, 8?
-5/3
Let y be (-6)/(-5)*35*3/63. What is the nearest to y in -0.4, -3/2, -34?
-0.4
Let t = 2.77 + -2.87. What is the closest to -1 in t, 0.4, 2/13?
t
Let p be 33/20 + 4/(-10). Let q = 16.6 - 16.8. What is the closest to q in 0.2, 2, p?
0.2
Let t = 4.27 + -2.27. Which is the nearest to -2/5? (a) t (b) 2/7 (c) 24/11
b
Suppose 2*v - 6*v + 4 = 0, -4 = f - v. Let y be 9/(-36) + 9/4 + f. What is the nearest to 1 in 0.2, -2, y?
0.2
Let p = -2/609 + -4259/1218. Let u be (1 - 50/(-12)) + -2. Let s = u + p. What is the closest to s in 1, -2/13, 3?
-2/13
Let r = -47393.9 - -47394. Let s = 0.41 + -0.01. What is the closest to s in -2, 1.9, r?
r
Let d = -270 - -141. Let z = -127 - d. Which is the nearest to -1/4? (a) 1 (b) z (c) 0
c
Let j = 517 + -12923/25. Let i be (-2)/(-4) - (221/(-130) - -2). Which is the closest to 2/3? (a) i (b) -1/2 (c) j
a
Let x = 913 + -916. Which is the closest to x? (a) 0.5 (b) -0.5 (c) 47
b
Let i be (2/(-4))/(14/(-4)). Let u = 3/8372 + 34/161. Let p = u + -6/13. Which is the nearest to p? (a) i (b) 0 (c) 1
b
Let q = -2.35 - -0.45. Let a = 2 + q. Let d be ((-57)/(-30) + -1)*(-5)/(-6). What is the closest to 2/5 in a, d, -2/11?
a
Let g be -5 - -12 - (-51)/(-7). What is the closest to 3/5 in g, 1/5, -2/5?
1/5
Let y be 10/5*5/6 - 1. What is the nearest to 1 in -1/3, 0, y?
y
Let m = -50/17 - -117/34. What is the closest to m in 0.4, 2, 5, -0.3?
0.4
Suppose 25*h + 35 = 18*h. Let t = 0 - 1. Which is the nearest to t? (a) h (b) 0.04 (c) -1
c
Suppose -3*m - 3*h + 15 = 0, -2*h - 5 = -5*m - 3*h. What is the closest to m in 7, 1, -2/7?
-2/7
Let i be (735/(-150) - 3/(-30)) + 4. Let f = 9.14 - 9. What is the nearest to -1 in -0.4, f, i?
i
Let s = -0.034 - -54.034. Let k = 46 - s. Let t = -0.6 - -1.1. Which is the nearest to 0.1? (a) k (b) t (c) -4
b
Let m be (-990)/(-792)*(-18)/(-10). What is the nearest to m in -0.5, -2, -0.01?
-0.01
Let p = -1/73 - 63/730. Suppose 4*g = 5*u + 211, 0*u - 4*u - 157 = -3*g. Let x = 415/7 - g. What is the closest to -0.1 in 2, p, x?
p
Let s be (6/(-32))/(6/(-4)). Suppose -5*z - 20 = -3*h, h + 4*h + z + 4 = 0. Which is the closest to h? (a) -2/3 (b) s (c) 0.3
b
Let i = -8 + 5. Let q = 5.55 - 7.55. Let r = -0.2 - -0.4. Which is the nearest to 2/5? (a) q (b) i (c) r
c
Let j = 49/2 - 335/14. Which is the nearest to 3? (a) 0.06 (b) j (c) -0.5
b
Let m(d) = -3*d + 6. Let p(s) = s**3 + 8*s**2 - 9*s + 4. Let n be p(-9). Let k be m(n). Which is the closest to 1/3? (a) 2 (b) 1 (c) k
b
Let d = -2.68 - -3.68. What is the nearest to d in 3/4, 0.3, 2, 3/5?
3/4
Let y = 7.2 - 7.31. Let u = 0.153 - -2.737. Let i = y - u. Which is the closest to 0? (a) -0.3 (b) i (c) 1/7
c
Let l(a) = -2*a**2 - 9*a + 40. Let j be l(3). What is the nearest to 0 in j, -3/4, -0.24, -4?
-0.24
Suppose -2*h = 5*k, 3*h + 4 - 17 = -k. Let o = -54 + 52. Let a be o/(4 + -2 - 8). What is the nearest to 0.1 in a, -2/3, k?
a
Let p = 25.8 - 9.8. What is the nearest to -0.1 in 3/8, 1, p?
3/8
Let p = 0.023 - 0.223. Let c be (-8)/12 + 12/9. What is the nearest to 1/4 in c, p, 2?
c
Let d be 1 + (-240)/(-39) + -7. Which is the nearest to -63? (a) d (b) -0.3 (c) 3/2
b
Let z be 74/(-629) + (-4)/255. Which is the closest to -0.12? (a) 1/2 (b) -2/7 (c) z
c
Let w = -5677/16 - -355. Which is the closest to -1? (a) -5 (b) w (c) -2/5
c
Let f = -2.8 - -2.77. Let v = 5 - 4. Let z = 39.4 + -39. What is the closest to v in -1/3, f, z?
z
Let g = 0.045 + 8.155. Let p = 8 - g. Let x = 5.99 + -1.99. What is the closest to x in p, 1, -1/4?
1
Let k = -24 + 7. What is the closest to k in 0, -4, 2/3, 4?
-4
Let g be (24/20)/(2/5). Let v = 84.3 - 79. Let q = -1.3 + v. What is the closest to -2 in g, q, 5?
g
Let f = -20/99 - 13/99. Let b = 0 + 0. Let x = -1 - b. What is the closest to x in f, 1/10, -9?
f
Let i = 1417 + -1451. Which is the nearest to -1? (a) 7 (b) 0 (c) i
b
Let o = 1293 + -1293.3. What is the nearest to 0 in o, 1/7, 1, -1/5?
1/7
Let w be (2/6)/(11/33). What is the closest to -2/7 in 0.3, w, -0.4?
-0.4
Let n = 87 - 29. Let i = n + -175/3. What is the closest to i in 2, 0, -7?
0
Let y = 33.9 + -30.1. What is the nearest to -0.2 in 3, y, -1/4, 5?
-1/4
Let k be (2 - 10/6)/1. Let x be 2/3*(-27)/18. Which is the closest to x? (a) k (b) 5 (c) 1
a
Let y = -9.16 + 9.2. What is the nearest to 0.1 in 6, 1, y?
y
Let c = -59.8 - 3.2. Let r = c - -62.6. What is the closest to 0.4 in r, -5, -0.2?
-0.2
Let p be (-23)/(-2)*(-17)/(-391). Suppose 0 = -5*o + 25 - 5. Let j = o - 0. What is the closest to p in j, -1/3, -5?
-1/3
Let d = 22 + -5. Let q = d - 13. Which is the closest to 0.1? (a) -0.3 (b) 0 (c) q
b
Let a(c) = c**3 + 3*c**2 + 1. Let x be a(-3). What is the closest to -3 in 0.05, -1.2, x?
-1.2
Let n = -4 - -3.5. Let i = -0.013 + -0.407. Let m = 0.12 + i. What is the closest to 0 in n, 0.2, m?
0.2
Let l be -8*3*1/6. Let t = -16.08 - -16. Let n = 0.18 + t. What is the closest to n in 2/11, -2/7, l?
2/11
Suppose 3*v = -2*m + 4 - 2, 6 = 2*m + 5*v. Let j be (3 + 1)*18/(-24). Suppose 2*r + 0 = 4. Which is the closest to r? (a) m (b) j (c) 1
c
Let j = -0.1 - -0.1. Let g = j - 0.2. Let r = -7168.5 + 7169. Which is the nearest to -3? (a) r (b) g (c) 4
b
Let c(n) = -n**2 - 8*n - 4. Let v be c(-7). Let x = -1026 + 1028. What is the nearest to 2/5 in -1, v, x?
-1
Suppose -2*r + k - 9 = 0, -4*r + 3*k - 17 = 2*k. Let n = -1 - r. Suppose 0 = -5*l - p + 4, -4*p - n = l. What is the closest to 2 in -5, l, 2/7?
l
Let h = -435 + 458. Which is the closest to 0? (a) 0 (b) 3 (c) 2/9 (d) h
a
Let j be (-1)/(21/(-9)*-1). Let l = -78.4 + 78. What is the closest to j in 4, l, 2/9?
l
Let s = 5 + -2. Let v be -2*4/28 + (-60)/(-14). Let f be 1 + (3 - 13/v). Which is the closest to s? (a) f (b) 1/2 (c) -0.3
a
Let y = -1 + 1.1. Let r = -1.9 + -0.1. Let j be 24/16 - (-14)/(-40)*2. What is the nearest to -1 in j, r, y?
r
Let p be (-10)/6 + 1/(-3). Let g = -5 - -4.8. Suppose -7*i = -3*i - 4*l, -3*i + 5*l = 0. Which is the nearest to p? (a) g (b) i (c) 2
a
Let a = 663.6 - 664. What is the nearest to 0.1 in a, 0.4, -8, -2/3?
0.4
Let w be 31/(-93)*(0 - 0/(-3)). Let m = 2.7 - 3. Let i = m + 0.2. Which is the nearest to w? (a) -3/4 (b) i (c) 2/3
b
Suppose -5*m + 7 = -23. Let u be (m/(-28))/(1/(-2)). Let r = 26.7 + -27. Which is the nearest to -0.1? (a) r (b) 4 (c) u
a
Suppose -32 = 3*q + 4. Let i be (6/60)/((-2)/q). Suppose -2*s - 39 = -41. What is the closest to s in -0.2, i, 1?
1
Let h = 479 - 10061/21. Let n be 4/(-15)*20/(-24). Let q be -1*(1 + 8/(-7)). What is the closest to n in h, 3, q?
q
Let r = 116 - 583/5. Let s be (-20 - -19)/(2/8). Which is the closest to -2? (a) s (b) 2/13 (c) r
c
Let l = 6 + -5.8. Let g = -1.029 + 0.029. Let m be (0*1/2)/2. What is the closest to g in l, m, -2/7?
-2/7
Let k = -0.05 - -8.05. Let m = -77.97 + 75.97. What is the nearest to m in -2, k, 4/9?
-2
Let n = 0.3 - 0.8. Let s = -1.6 + -0.4. Let k = 0.096 + 0.004. Which is the closest to k? (a) -0.1 (b) n (c) s
a
Let n = 0.103 - -42.897. Let s = n + -43.1. Which is the closest to -2/7? (a) 1/2 (b) s (c) -3
b
Let x be 110/30 + 2/6. Suppose 0 = -x*z + 6 + 10. Let f be 16/(-7) + (-2)/(-1). What is the closest to f in - | {
"pile_set_name": "DM Mathematics"
} |
3*o. Let x(g) = -h(g) + 2*p(g). Calculate x(w(b)).
-11*b**2
Let d(c) = -14*c**2 + 14. Let x(j) = 5*j**2 - 5. Let u(r) = 6*d(r) + 17*x(r). Let n(z) = -z**2. Determine n(u(g)).
-g**4 + 2*g**2 - 1
Let l(t) be the second derivative of 0*t**2 + 0 - 13*t + 0*t**3 + 1/3*t**4. Let a(k) be the second derivative of k**3/3 - k. What is l(a(i))?
16*i**2
Let d(i) = 5*i - 4. Let u(c) = c + 1. Let o(v) = -d(v) - 4*u(v). Let a(y) = 0*y**2 - 4*y**2 + 3*y**2. Determine a(o(z)).
-81*z**2
Let k(f) = 5539224*f. Let g(j) = 2*j. Give g(k(u)).
11078448*u
Let z(s) = -3*s**2. Let q(p) = 5*p - 5. Let r = -50 - -47. Let i(x) = -2*x + 3. Let m(k) = r*q(k) - 5*i(k). What is z(m(b))?
-75*b**2
Let s(w) = 13*w - 75 + 29 + 23 + 23. Let c(i) be the second derivative of i**4/12 - i. What is c(s(t))?
169*t**2
Let q(x) be the second derivative of 11*x**4/12 - x**2/2 - 9*x + 1. Let a(f) = f**2. Calculate q(a(v)).
11*v**4 - 1
Let v(k) = -k. Let q(x) be the third derivative of 0*x**3 + 0 + 0*x - 4*x**2 + 1/3*x**4. Calculate v(q(p)).
-8*p
Let q(h) be the second derivative of h**4/6 - h. Let x(f) = -4 + 6 - 33*f - 35*f + 57*f. Give x(q(w)).
-22*w**2 + 2
Let l(c) = -46 + 65 - 19 + 3*c. Let a(z) = -48*z. What is l(a(r))?
-144*r
Let x(u) = -21*u**2 + 137. Let j(k) = -4*k. What is x(j(g))?
-336*g**2 + 137
Let b(q) = -37*q - 2. Let d(z) = -6806*z - 369. Let y(i) = -369*b(i) + 2*d(i). Let p(r) = 16*r. Determine y(p(w)).
656*w
Let h(f) = f**2 - 222*f. Let z(y) be the first derivative of y**2/2 + 12. Determine h(z(d)).
d**2 - 222*d
Let v(q) = -q**2 + 2*q - 3*q - 1 + 0*q + q. Let b(t) = -2*t**2. Determine v(b(x)).
-4*x**4 - 1
Let r(d) be the first derivative of d**5/30 - 4*d**3/3 + 28. Let l(f) be the third derivative of r(f). Let v(t) = 12*t**2. Give v(l(c)).
192*c**2
Let s(y) = 3*y**2. Let d(f) = -25*f + 5. Let r be (-3)/2*20/6. Let a(v) = 13*v - 3. Let l(b) = r*a(b) - 3*d(b). Determine l(s(x)).
30*x**2
Let g(k) = -14*k + 1. Let y(w) = -794*w. Calculate g(y(x)).
11116*x + 1
Let b(t) be the first derivative of t**6/180 - 5*t**3 - 6. Let f(s) be the third derivative of b(s). Let i(g) = 4*g**2. Determine i(f(k)).
16*k**4
Let r(q) = -4*q + 1. Let b(i) = 1. Let a(f) = b(f) - r(f). Let j(l) = -3*l - l + 3*l. What is j(a(p))?
-4*p
Let g(x) = -x**2. Let q(h) be the third derivative of -2*h**5/15 - 50*h**2. Calculate g(q(n)).
-64*n**4
Let i(l) = 85*l**2. Let k(b) = -1071*b - 4. Give k(i(h)).
-91035*h**2 - 4
Let f(w) be the third derivative of 121*w**4/24 + 11*w**2 - 7*w. Let q(t) = 6*t. What is f(q(o))?
726*o
Let n(w) = 6*w - 10*w + 4*w - 2*w**2. Let k(j) = 16*j - 8. Let c(z) = 104*z - 52. Let r(x) = -5*c(x) + 32*k(x). Calculate n(r(y)).
-128*y**2 + 128*y - 32
Let m(v) = -v + 2. Let t(u) = 3*u - 9. Let j(k) = 9*m(k) + 2*t(k). Let n(w) be the first derivative of -3*w**2/2 - 44. Determine n(j(a)).
9*a
Let d(n) = -2*n - 1331. Let v(u) = 2*u**2. Determine d(v(g)).
-4*g**2 - 1331
Suppose l - 4*t = 3*l - 30, -5*l - 4*t + 51 = 0. Let k(z) = 3*z - l*z - z + 0*z. Let s(i) = 5*i**2. Give s(k(x)).
125*x**2
Let t(z) = z**2. Suppose 6*g - 27 - 27 = 0. Let a(x) = -8*x + g*x - 86 + 86. Give t(a(h)).
h**2
Let x(d) be the first derivative of 189*d**2/2 + 258. Let p(j) = -4*j. Give x(p(r)).
-756*r
Let h(p) = -p**2. Let n(z) = -786*z - 32. What is n(h(x))?
786*x**2 - 32
Let i(q) = -184*q**2. Let a(v) = 19*v. Determine a(i(f)).
-3496*f**2
Let i(r) = 8*r**2. Let h = -10 - -13. Let x(n) = -4*n + 2*n + h*n + 0*n. What is x(i(f))?
8*f**2
Let o(w) = w**2. Let m(r) = 375*r**2 + 4*r + 4. Let s(f) = 9372*f**2 + 99*f + 99. Let i(g) = -99*m(g) + 4*s(g). Give o(i(z)).
131769*z**4
Let b(x) be the first derivative of 4*x**3/3 + 561. Let k(y) = 38*y. Give k(b(l)).
152*l**2
Let u(h) = 6*h**2. Let o(b) = -2*b. Let r(n) = 3*n. Let d(f) = -6*f. Let v(l) = 3*d(l) + 7*r(l). Let i(g) = -6*o(g) - 5*v(g). Calculate i(u(p)).
-18*p**2
Let u(d) be the third derivative of 161*d**4/12 - 29*d**2. Let r(v) = v**2. Calculate r(u(o)).
103684*o**2
Let v(j) = 2*j. Let h(n) = -n + 1. Let w(t) = 10*t - 12. Let p(q) = -q**2 - 4*q. Let l = 27 - 33. Let d be p(l). Let a(g) = d*h(g) - w(g). Give a(v(x)).
4*x
Let p(i) be the first derivative of -3*i**2/2 - 54. Let q(x) = -43*x**2. What is q(p(j))?
-387*j**2
Suppose 7*x = 38 - 3. Let r(u) = 10*u + u - x*u + 3*u. Let m(s) = -4*s**2 - 3*s - 3. Let g(h) = -h**2 - h - 1. Let f(v) = -6*g(v) + 2*m(v). Determine r(f(z)).
-18*z**2
Suppose -4*x - 2*c + 1 = 9, 4*c = 4*x - 16. Let v(q) be the second derivative of 1/6*q**4 + x - 5*q + 0*q**2 + 0*q**3. Let d(l) = 7*l**2. What is d(v(g))?
28*g**4
Let t(y) = -40*y. Let p(s) = -8*s**2 - 9*s**2 + 32 - 64 + 32. What is p(t(z))?
-27200*z**2
Let q(j) = 2*j. Suppose 0 = 35*i - 15 - 55. Let w(p) be the first derivative of 12 + 0*p**i + 0*p + 5/3*p**3. Give q(w(y)).
10*y**2
Let s(t) = 5239*t - 1. Let l(c) = -5*c. What is l(s(q))?
-26195*q + 5
Let c(m) be the first derivative of -2*m**3/3 - 1. Let q(b) = 155*b + 770. Let f(k) = -9*k - 44. Let d(j) = 35*f(j) + 2*q(j). What is c(d(r))?
-50*r**2
Let k(q) = -2. Let a(d) = 22*d - 12. Let i(m) = a(m) - 6*k(m). Let l(j) = 0 + 2*j**2 + 0. What is l(i(g))?
968*g**2
Let l(g) = -4*g**2. Let i(m) be the first derivative of -1/3*m**3 + 0*m - 1 + 0*m**2. What is l(i(n))?
-4*n**4
Let i(p) = -2936*p. Let t(f) = 8*f. What is t(i(o))?
-23488*o
Let v(p) = 10*p**2. Let y = 38 - 20. Let q = 26 - y. Let o(f) = -2*f + 8. Let u(x) = 1. Let t(m) = q*u(m) - o(m). Determine t(v(b)).
20*b**2
Let v(d) = d + 5. Let h(c) = -119*c**2. Determine h(v(g)).
-119*g**2 - 1190*g - 2975
Let x(i) = -1236*i + 15. Let h(r) = -r + 7. What is x(h(n))?
1236*n - 8637
Let t(g) = 14*g + 1920. Let q(n) = n. Give q(t(y)).
14*y + 1920
Let d(o) = -o - 597. Let q(z) = -2251 + 2251 + 2*z. What is q(d(y))?
-2*y - 1194
Let z(v) = -2*v**2 - 9950174. Let o(g) = -2*g. Give z(o(s)).
-8*s**2 - 9950174
Let b(z) = 5*z. Let j(s) = 6612*s**2. Give j(b(d)).
165300*d**2
Let z(n) be the third derivative of 0*n**3 + 0 - 3/10*n**5 - 44*n**2 + 0*n + 0*n**4. Let v(w) = -2*w**2. Give v(z(k)).
-648*k**4
Let l = 38 - 33. Let r(j) = 5*j - 8*j + l*j. Let a(f) = -10*f. Determine a(r(t)).
-20*t
Let s(q) = -126*q - 60*q + 247*q. Let p(u) be the first derivative of -u**3/3 - 2. Calculate p(s(c)).
-3721*c**2
Let l(v) = -13*v. Suppose 12 = 10*n - 7*n. Let f(a) = -4*a**2 + n*a**2 + 5*a**2 - 3*a**2. Determine f(l(h)).
338*h**2
Let h(p) = 2*p**2. Let s(k) = 248*k + 1179*k + 117*k + 35*k. What is s(h(z))?
3158*z**2
Let l(n) = 901132*n**2. Let c(i) = -2*i**2. Calculate l(c(t)).
3604528*t**4
Let k(p) = p + 15152. Let j(z) = -6*z. Give j(k(c)).
-6*c - 90912
Suppose -5*j = 3*d - 2*d - 17, -2*d + 7 = j. Let x(n) = n**d + 0*n**2 + 0*n**2. Let c(w) = 4*w + 205 - 102 - 103. Determine c(x(m)).
4*m**2
Suppose 0 = -5*y + 4*r + 37 + 73, 85 = 5*y + r. Let d(s) = 18*s + y*s + 9*s - 49*s. Let q(w) be the third derivative of -w**5/30 + w**2. Calculate q(d(c)).
-32*c**2
Let h(s) = 18*s**2. Let j(p) = 2*p**2 - 8883*p - 2. Calculate j(h(z)).
648*z**4 - 159894*z**2 - 2
Let k(x) = 3*x - 29. Let b(w) = 11*w**2 - 28*w. What is b(k(r))?
99*r**2 - 1998*r + 10063
Let q(r) = 14 - r + 19 - 33. Let t(z) be the second derivative of -5*z**3/3 + 12*z. Determine q(t(k)).
10*k
Let a(h) = h**3 - 6*h**2 - 4*h - 16. Let x be a(7). Let m(o) = -x*o + 2*o - 6*o. Let u(k) = -3*k. What is m(u(i))?
27*i
Let d(v) = -3*v**2. Let u(p) = -5*p - 4. Let k(a) be the third derivative of -a**4/6 - a**3/2 - 3*a**2. Let o(y) = 4*k(y) - 3*u(y). Calculate o(d(b)).
3*b**2
Let n(g) = 8*g + 17984. Let s(d) = 2*d**2. Give n(s(u)).
16*u**2 + 17984
Let j(u) = 158*u**2 - 237*u - 237. Let r(c) = c**2 - c - 1. Let y(g) = 4*j(g) - 948*r(g). Let l(a) = -2*a**2. Give y(l(z)).
-1264*z**4
Let d(k) = -3*k**2. Suppose 12 = j + 2. Suppose -u - j = -19. Let c(o) = -1 + u - 8 - o. Calculate d(c(f)).
-3*f**2
Let y(s) be the second derivative of -s**3/3 + 2*s**2 + 625*s. Let c(l) = l**2. Calculate c(y(q)).
4*q**2 - 16*q + 16
Let l(d) = d. Let z(t) be the first derivative of -2*t**5/15 - 7*t**2 + 24. Let b(u) be the second derivative of z(u). What is b(l(q))?
-8*q**2
Let d(o) = 3*o. Let f(a) = a. Let y(t) = -2*d(t) + 3*f(t). Let s(z) = -3*z**2 + 3. What is s(y(k))?
-27*k**2 + 3
Let k(m) be the third derivative of -m**6/360 - 13*m**3/6 + 14*m**2. Let a(x) be the first derivative of k(x). Let f( | {
"pile_set_name": "DM Mathematics"
} |
is the nearest to j? (a) 1/10 (b) -3 (c) n
a
Let d = -289 - -291.96. Let n = -0.09 + 0.05. Let x = d - n. Which is the closest to 1? (a) 5 (b) -0.4 (c) x
b
Let z be 2/(-4) - (-2)/(-4). Let u be -1*(1/3 + z). Let d be ((36/(-945))/((-81)/405))/(4/(-6)). Which is the nearest to d? (a) -1/5 (b) u (c) 0.2
a
Let f(j) = -j**3 - j**2 - 5. Let l be f(0). Let i = -1.56373 - -1.26373. Which is the nearest to i? (a) -4 (b) l (c) -0.05 (d) -0.2
d
Let x = -0.007 - -0.507. Which is the nearest to x? (a) -5 (b) -2/211 (c) -0.03
b
Let r = 17 - 40. Let v = r + 22.6. Let t = -0.154 - 2.846. Which is the nearest to v? (a) 2 (b) -2/17 (c) t
b
Let h be (6/(-30) - 0)*(-140)/7. Suppose -f - 16 = 15*f. Which is the closest to f? (a) -0.5 (b) -2/7 (c) h (d) 0.3
a
Let h = 10/489 - -1886/3423. What is the closest to -4 in 1/5, 0.1, -0.8, h?
-0.8
Let r = 0.6 - 0.2. Let k = 0.75 - -205.25. Let o = k + -206. What is the closest to -0.1 in r, -4, o?
o
Let k = 6039 - 5776.7. Let j = k - 262. Which is the nearest to -3/8? (a) 0.4 (b) j (c) 1
b
Let j = 1549.5 + -1167. Let f = j + -383. What is the nearest to -1 in f, 0.5, 1?
f
Suppose -x = 5*n - 19, -2*x + 21*n - 18 = 17*n. Let q = -527/6 - -88. Which is the closest to x? (a) 1/4 (b) 0.6 (c) q
c
Suppose -6*g + o + 18 = -2*g, 0 = -5*g + 3*o + 19. Let y be (-6)/44*(-19)/((-228)/8). What is the nearest to -1 in -4, g, y?
y
Suppose 3*g = 5*h + 3, -14 = -125*h + 123*h + 5*g. What is the nearest to -3 in -8/9, 5, h?
h
Let o be (-7)/12*(-9)/21. Let u = -34 - -32.7. Which is the nearest to o? (a) -0.2 (b) 0 (c) u
b
Let r be 28/(-42)*(-21)/2. Suppose -r - 5 = 6*g. Let n = 6 + -5. What is the closest to -0.1 in n, -3, g?
n
Let b = -34992 + 34992. What is the nearest to -1/28 in b, 2/9, -0.1, -2?
b
Let h = -7 + 7. Let j = -45 + 95. Let l = j + -48. Which is the closest to -0.1? (a) h (b) 2/5 (c) l
a
Let n be (339/230)/(5 + (-63)/14). Let f = -54/23 + n. Which is the nearest to -0.09? (a) 0.1 (b) -0.11 (c) f
b
Let v(d) be the second derivative of 16*d**3/3 + 128*d**2 + 170*d. Let m be v(-8). Which is the closest to m? (a) -0.08 (b) 2 (c) -4
a
Suppose 2*f = -4*g + 2, 7*f + 3*g = 8*f + 29. Which is the closest to 0.4? (a) f (b) 4 (c) 3
c
Let g = -1.1 + 1.4. Let y be (-1 - (0 - 4))/(9/(-2)). Which is the closest to y? (a) g (b) 0 (c) -2/23
c
Let i = 22789 + -22792. Let w = -0.1 + 12.1. Which is the closest to i? (a) w (b) 0.2 (c) 3 (d) 2/17
d
Let u = -0.03394 + -0.36606. What is the nearest to -2/3 in 4, 5, u, -1/61?
u
Let u = 5 - 2. Let j(n) = 13*n**2 - 195*n + 178. Let q be j(1). Which is the nearest to u? (a) -0.1 (b) q (c) 5
c
Let g = 315 + -203. Let r = g + -111.8. Which is the closest to r? (a) 32 (b) 0.4 (c) 0.5
b
Let i = 14 + -12.3. Let j = 65.7 - i. Let a = j - 59. What is the nearest to 1 in a, 4, -0.2?
-0.2
Let i be (-4*9/18)/(-1 + -5). What is the closest to 4 in 4, i, 108, 2/7?
4
Let l be (3 + (-63)/15)*(-3)/(-18). Which is the closest to l? (a) -6/7 (b) -2/5 (c) 2/3
b
Let h = -11.71 + 12.01. Which is the closest to 0.1? (a) 1.6 (b) 2/9 (c) h (d) 0.1
d
Let m = -1.038 - -0.858. Which is the nearest to -0.1? (a) 3 (b) m (c) -5/3
b
Let u = 2.7 + 1.3. Suppose -2*p + 16 = 5*v - 5, -5*p + 15 = 0. Suppose 0 = v*n + 4*a + 12, 6*n - 6 = n + 2*a. What is the closest to -0.1 in 0.4, n, u?
n
Let d(p) = -p**2 - 6*p + 1. Let w be d(-6). Let x = 0.0425 - -0.0695. Let j = -0.888 - x. What is the closest to 7/2 in 2/3, j, w?
w
Suppose 5*t - 13 = -88. Let v = t - -11. Let p = 797.3 - 797. Which is the nearest to 0.1? (a) v (b) p (c) -6
b
Let f = 30232 - 30230. What is the closest to f in 3/8, -0.4, 3?
3
Let q = 3 - -1. Let f(m) = 8*m - 107 + 63 + 85. Let y be f(-5). What is the nearest to y in -3/4, q, 1?
1
Let a = 121 + -119. Suppose 0 = -d + a - 4. What is the nearest to d in 1, -7, 2?
1
Let t = 3534 - 3533.9. What is the closest to t in 3, -1/4, -2, -3?
-1/4
Let w = -2.5332 + 2.5532. Which is the closest to 1? (a) 0.1 (b) w (c) -9
a
Let s = -1.924 + 1.071. Let d = -0.753 - s. Let m = 0 + 1. Which is the nearest to m? (a) d (b) 3 (c) 2
a
Let m = 418/3 + -141. Let k = -36409.4 + 36409. Let n = -226/3 - -2947/39. Which is the nearest to -2? (a) k (b) n (c) m
c
Let j(k) = k**2 - 13*k + 27. Let q be j(11). Suppose -3*x - 26 = -x. Let y be (-4)/((-160)/(-136)) + 3. Which is the closest to x? (a) q (b) y (c) -4
c
Let s = -0.7446 + 1.1446. What is the nearest to -5/11 in -1, -1/3, s?
-1/3
Let s be 16/(-60)*510/68. Which is the closest to 0? (a) s (b) 0.1 (c) 2.4 (d) -4
b
Let l be -24 - (-42 - -26) - (-300)/38. Let k = 0.3 + -0.2. Which is the nearest to 2? (a) -2 (b) k (c) l
b
Let q be 4/24 - (-92)/24. Let v = -45.046 + 0.046. Let j = v + 44. Which is the nearest to -0.1? (a) q (b) 2/5 (c) j
b
Let j = 230 - 229.244. Let p = j - -0.244. Let g = 1.5 + -1.3. Which is the nearest to p? (a) 3 (b) g (c) 5
b
Let k = 37 + -39. Let o = 7.02 + -6.92. What is the nearest to -4/81 in k, 0.5, o?
o
Let r = 3610 + -3610. What is the closest to 0 in -130, r, -1/2?
r
Let j = -16 + 18. Let z be j/(5 + -13) - 0. What is the nearest to 7 in 5, z, -1.4?
5
Let r = -92 - 185. Let t = r + 272. Which is the nearest to t? (a) -4 (b) 0.3 (c) 0
a
Suppose m + 81 = 2*s - 114, -2*s = 0. Let a be 3/(-15)*2 + m/(-675). What is the closest to 0.5 in a, 0.5, 0.2, 1/6?
0.5
Let z = 160.75 + -160.87. Which is the nearest to -2? (a) z (b) -1 (c) 4/13
b
Let h = -1/7 + 17/21. Let m = -28.761 + 28.461. What is the nearest to 10 in m, h, -4?
h
Let l = 194 - 192.18. Let o = 0.92 - l. What is the closest to -0.1 in -3, 2/13, o?
2/13
Let v = 0.17501 - 0.17501. Suppose -2*x = -6 + 4. What is the closest to v in x, 2/11, 4?
2/11
Let p = -133692/5 - -26738. Which is the closest to -0.01? (a) p (b) -0.3 (c) -0.114
c
Let x = -628 - 386. Let i = 1013 + x. Let g = 0 - 1. What is the nearest to i in 1/3, g, 0.2?
g
Let j = 141 - 250.6. Let o = j + 110. Which is the nearest to 2? (a) 3 (b) o (c) -0.04
a
Let p be 250/(2/(-1) - (4 - 8)). Let l be (-4)/22 - p/825. What is the closest to l in -5/3, 0.5, 17/5?
0.5
Let l = -341831 - -3076481/9. Let p be (1/(-5))/((-1)/(-2)). What is the nearest to l in p, 16, 0.5?
0.5
Let n = -7012.5 - -7013. Which is the nearest to 0? (a) -3/5 (b) 1 (c) n
c
Let y = 166 + -272. Let b = y - -110. What is the closest to 0 in -2.6, 2/7, b?
2/7
Let f(s) = s**3 + 13*s - 9. Let g be f(0). Let o be 24/9 - g/27. What is the closest to -0.1 in -5, o, -0.5?
-0.5
Let i = 2420 + -2420. Which is the closest to 2/27? (a) -0.3 (b) 5/3 (c) i (d) -2
c
Let s be ((-7)/7 + 2)/(-7 - 91/(-14)). Which is the nearest to s? (a) 2/7 (b) 41/3 (c) -1/9 (d) -5
c
Suppose 0 = -3*j + 47 - 167. Let y = j - -43. Suppose y*m = 2*m - 1. Which is the nearest to -1? (a) m (b) 0.1 (c) -6/7
a
Let z = 75493 - 75505. Let n = 2.05 + -0.05. What is the nearest to n in 0.5, -4, z?
0.5
Suppose 7*w - 994 + 896 = 0. What is the nearest to -1 in -3/4, w, 1/5?
-3/4
Let i be (-1 + 4*-1)*-1. Let f = 771/1760 + 57/352. What is the closest to -2/7 in -2, f, i?
f
Let j be -12*105/(-420)*2/7. What is the closest to 2/3 in -2, -4/3, 0, j?
j
Let h = 29/4 - 17/3. Let d = 9/4 - h. What is the nearest to d in 0, 0.1, 71?
0.1
Let n(b) = -b**2 - 4*b. Let m be n(-3). Let v = 827.3 + -827.5. What is the nearest to 0.1 in v, m, -3/7?
v
Let d be 28/(-30) + (-1)/(-3). Let j(p) = -p**2 + 544*p - 10482. Let t be j(20). Which is the closest to t? (a) d (b) 3/4 (c) 0.04
a
Let o = -70.46 - -71. Let n = 0.34 - o. Which is the closest to -2/3? (a) n (b) -1/2 (c) 0
b
Let f = -204 + 195. Let w = -0.02 + -0.48. Which is the closest to -2? (a) f (b) -0.3 (c) w
c
Let r = 6890 - 6871. What is the nearest to 112 in r, -4/9, 4?
r
Let d = 32/31 - 97/124. Which is the nearest to 1? (a) d (b) 38 (c) -3
a
Let h(z) = 2*z**2 + 16*z - 4. Let x(v) = -4*v + 33. Let o be x(10). Let p be h(o). Let n be 5 - (-3)/p*26. What is the nearest to 0 in -5/2, 2/7, n?
2/7
Let o(d) = -18*d - 10. Let h = 365 - 365. Let z be o(h). Which is the nearest to 2? (a) -1 (b) z (c) 3
c
Let y = -11286 - -11286. Which is the nearest to -1? (a) 2 (b) -3/7 (c) y (d) -0.04
b
Let l = 472388.4 - 472385. Let d = -257 - -3343/13. What is the nearest to -2/7 | {
"pile_set_name": "DM Mathematics"
} |
sing order.
474, 2, -4
Sort 1, -3, 7 in increasing order.
-3, 1, 7
Sort -3, -2, -1, 42 in decreasing order.
42, -1, -2, -3
Sort -0.3, -28, 0.4.
-28, -0.3, 0.4
Sort 0.4, 286, -0.5 in descending order.
286, 0.4, -0.5
Sort 2, -0.5, 5.41, -2.
-2, -0.5, 2, 5.41
Sort -4, 42, 3.
-4, 3, 42
Sort 0.2, -350, 5 in decreasing order.
5, 0.2, -350
Sort 4, -193, 1, -4 in decreasing order.
4, 1, -4, -193
Sort -4/7, -4, -5, 3/4.
-5, -4, -4/7, 3/4
Put 1, 4, -7, -2 in decreasing order.
4, 1, -2, -7
Put -11, 0.4, -2/3, -1/2 in decreasing order.
0.4, -1/2, -2/3, -11
Put 4, 3, 36, -1 in increasing order.
-1, 3, 4, 36
Put 4, -0.6, 0, 61 in increasing order.
-0.6, 0, 4, 61
Put -2, 1, 7 in decreasing order.
7, 1, -2
Sort -4, 4, 7 in increasing order.
-4, 4, 7
Sort -3, -1, 4, 296.
-3, -1, 4, 296
Put -0.5, -4, 10 in decreasing order.
10, -0.5, -4
Put -2, -0.5, -2/13, -0.04 in ascending order.
-2, -0.5, -2/13, -0.04
Sort 3, -1, -18, 4 in descending order.
4, 3, -1, -18
Put 0.3, -252, 1 in increasing order.
-252, 0.3, 1
Sort -2, 38, -1 in ascending order.
-2, -1, 38
Put -2/19, 30, 0.05 in decreasing order.
30, 0.05, -2/19
Sort 5, 0, 4, 3, -8.
-8, 0, 3, 4, 5
Sort 5, 2/75, 4 in decreasing order.
5, 4, 2/75
Sort 0, -302, -4.
-302, -4, 0
Put 72, -4, -11, -5, 1 in ascending order.
-11, -5, -4, 1, 72
Sort -2/7, 1, 7 in decreasing order.
7, 1, -2/7
Sort -1, 7, 4, -8 in decreasing order.
7, 4, -1, -8
Sort 5, 6, 17, -1, -3 in decreasing order.
17, 6, 5, -1, -3
Sort -3, -1, 0, -2, -43 in increasing order.
-43, -3, -2, -1, 0
Sort 9, -0.5, 0.3, 5.
-0.5, 0.3, 5, 9
Sort -3, 57.53, 0.1 in decreasing order.
57.53, 0.1, -3
Sort -4, 4, 193.
-4, 4, 193
Sort -0.05, -5, 6.
-5, -0.05, 6
Sort 5, -3, 0, -15, 10 in decreasing order.
10, 5, 0, -3, -15
Sort -2, 3, -7.
-7, -2, 3
Sort 2, 3584, -3 in decreasing order.
3584, 2, -3
Sort -4, -4/7, 1007.
-4, -4/7, 1007
Sort 8, -2/3, 0.29 in descending order.
8, 0.29, -2/3
Sort 23/4, 4, -4, 1, 5.
-4, 1, 4, 5, 23/4
Put 0, -1, 31, 5, -5 in decreasing order.
31, 5, 0, -1, -5
Put 0.5, 167, 2/5 in decreasing order.
167, 0.5, 2/5
Sort 6/11, 2/5, 2 in increasing order.
2/5, 6/11, 2
Put -3, -2798, -1 in ascending order.
-2798, -3, -1
Put 64, 5, -2, -4 in ascending order.
-4, -2, 5, 64
Put -5, 1, 59, 0, -4 in increasing order.
-5, -4, 0, 1, 59
Sort -294, 0, 5, 3, 4.
-294, 0, 3, 4, 5
Put -3, 2/7, 1/23 in decreasing order.
2/7, 1/23, -3
Sort -0.5, 2, -4/7, -1 in ascending order.
-1, -4/7, -0.5, 2
Put 188, -5, 4 in decreasing order.
188, 4, -5
Sort 3.01, -6, 2 in descending order.
3.01, 2, -6
Put -0.5, 19, -3, 1 in decreasing order.
19, 1, -0.5, -3
Sort 361, -1/3, 1 in ascending order.
-1/3, 1, 361
Put 4, -1, 0, -96 in ascending order.
-96, -1, 0, 4
Put 3, 5, -1, -2, -817 in decreasing order.
5, 3, -1, -2, -817
Sort 8, -4, 4, 1, 70 in descending order.
70, 8, 4, 1, -4
Sort -3, 5, 1, 16 in decreasing order.
16, 5, 1, -3
Sort 0, -3, 791, 2.
-3, 0, 2, 791
Sort 10, 117, 2 in ascending order.
2, 10, 117
Sort 2, 0, -3, -10.
-10, -3, 0, 2
Sort 3, 2, 474.
2, 3, 474
Put -48, -4, -0.1 in descending order.
-0.1, -4, -48
Put 0, -2/9, -2, 2/3, -4.3 in ascending order.
-4.3, -2, -2/9, 0, 2/3
Sort 7, -2, 3, -5 in decreasing order.
7, 3, -2, -5
Put -8, 3, -1, -3, -5 in increasing order.
-8, -5, -3, -1, 3
Sort -0.5, 1/18, 1, 5 in decreasing order.
5, 1, 1/18, -0.5
Sort 0, 3, 13.
0, 3, 13
Put 3/13, 4/3, 0.5, 11, 2/7 in descending order.
11, 4/3, 0.5, 2/7, 3/13
Sort 2, 187, 1, 4 in descending order.
187, 4, 2, 1
Sort 2, 30, 11, -5, 5 in decreasing order.
30, 11, 5, 2, -5
Sort 2, 6, -0.4, -0.2, 21 in descending order.
21, 6, 2, -0.2, -0.4
Sort -5, -1, 3.
-5, -1, 3
Put -5, -10, 2, 4 in increasing order.
-10, -5, 2, 4
Put 45, -3, -3/4 in decreasing order.
45, -3/4, -3
Put 5, -690, -5 in ascending order.
-690, -5, 5
Sort -39, 1, -4/21 in descending order.
1, -4/21, -39
Sort -23/4, 1/2, -1/116 in descending order.
1/2, -1/116, -23/4
Sort -0.3, 2, 5/2, 0, 6.
-0.3, 0, 2, 5/2, 6
Sort -221, -16, -3 in ascending order.
-221, -16, -3
Sort 0, -5, -4, -9 in decreasing order.
0, -4, -5, -9
Sort -11, 109, 2 in descending order.
109, 2, -11
Sort 18, 7, -2 in increasing order.
-2, 7, 18
Put 8, -2/39, 2, 2/15 in increasing order.
-2/39, 2/15, 2, 8
Sort 14, 4, -4, 2 in increasing order.
-4, 2, 4, 14
Sort -351, -16, 4, -3 in descending order.
4, -3, -16, -351
Sort 3, 3/4, -10.29, -2/5 in decreasing order.
3, 3/4, -2/5, -10.29
Sort 2, 5, 0.
0, 2, 5
Sort 1, -40, -4.
-40, -4, 1
Put -4, 11, -4/5, -2/13 in ascending order.
-4, -4/5, -2/13, 11
Put -1/3, 0.4, -2, 1.1 in ascending order.
-2, -1/3, 0.4, 1.1
Put -1, 5, -4/7, -2/233, 0 in decreasing order.
5, 0, -2/233, -4/7, -1
Sort -5, -6, -2, -3.
-6, -5, -3, -2
Sort 3, 51, -17 in descending order.
51, 3, -17
Sort 1, 319, 5 in increasing order.
1, 5, 319
Put 0.09, 0.4, 0.2, 0.03, 0 in ascending order.
0, 0.03, 0.09, 0.2, 0.4
Put -0.3, 1, -3 in descending order.
1, -0.3, -3
Sort -4, -2, 2, 0.
-4, -2, 0, 2
Put 0, 1, -5, -102 in increasing order.
-102, -5, 0, 1
Sort 2, -3, -1680 in increasing order.
-1680, -3, 2
Put 28, 15, 5 in decreasing order.
28, 15, 5
Put 5, -4, 50, -3 in ascending order.
-4, -3, 5, 50
Put 4, -3, 3, -6, 7 in descending order.
7, 4, 3, -3, -6
Put 4/7, -9, -2, 2, 2/33 in ascending order.
-9, -2, 2/33, 4/7, 2
Put 2, 3, -3, 5 in ascending order.
-3, 2, 3, 5
Sort 0, -9, -1 in descending order.
0, -1, -9
Sort -1, -114, -3 in descending order.
-1, -3, -114
Put -2/105, -4, -2/13 in increasing order.
-4, -2/13, -2/105
Sort -0.07, 0.4, 33, 1 in increasing order.
-0.07, 0.4, 1, 33
Put 0.1, -1/7, -1/4, 4 in decreasing order.
4, 0.1, -1/7, -1/4
Put 5, -1, 45, 4, -2 in descending order.
45, 5, 4, -1, -2
Put 1/3, 321, -1/6 in decreasing order.
321, 1/3, -1/6
Put -5, -1/12, 2/7 in increasing order.
-5, -1/12, 2/7
Sort 0.1, 15, -0.3, 7.
-0.3, 0.1, 7, 15
Sort -7, 2/5, -0.03, -6, -0.5 in descending order.
2/5, -0.03, -0.5, -6, -7
Sort -0.2, -2, -1, 1/9 in ascending order.
-2, -1, -0.2, 1/9
Put 8, 4, -6 in decreasing order.
8, 4, -6
Sort -14/11, 1/7, 4, 0, 5.
-14/11, 0, 1/7, 4, 5
Put 1, -188, 0, -5, 2 in increasing order.
-188, -5, 0, 1, 2
Sort 19, 4, -17.
-17, 4, 19
Sort -397, -1/7, 1/4 in descending order.
1/4, -1/7, -397
Sort -0.05, -6/7, 3, 0.5, 5 in ascending order.
-6/7, -0.05, 0.5, 3, 5
Sort 5, 2, -8 in decreasing order.
5, 2, -8
Sort -15, 27, -5, 0.3 in decreasing order.
27, 0.3, -5, -15
Put 1, 3, -134 in ascending order.
-134, 1, 3
Sort 4, -5, -4, 0, 7 in descending order.
7, 4, 0, -4, -5
Sort 2, -1, -5 in increasing order.
-5, -1, 2
Sort -1/6, 0.5, 0.08, -3 in descending order.
0.5, 0.08, -1/6, -3
Sort -1, -25, -2, 3 in increasing order.
-25, -2, -1, 3
Sort -0.5, -4, -3, 1 in descending order.
1, -0.5, -3, -4
Sort 6, -4, -2/3, -17.
-17, -4, -2/3, 6
Sort -5/2, 2, 250, -1 in ascending order.
-5/2, -1, 2, 250
Put 47, 5, -2/9, -1/15, -1 in decreasing order.
47, 5, -1/15, -2/9, -1
Sort 1, -5, 9, 21 in decreasing order.
21, 9, 1, -5
Sort -0.06, -1, -0.3, 5, 13 in ascending order.
-1, -0.3, -0.06, 5, 13
Sort -1/3, -0.2, 16, -1, -1/14.
-1, -1/3, -0.2, -1/14, 16
Sort -0.3, 0, -2461, 4.
-2461, -0.3, 0, 4
Put 1, 2/21, -11, 5 in decreasing order.
5, 1, 2/21, -11
Put 3/4, 4/5, 3/47, -0.5 in descending order.
4/5, 3/4, 3/47, -0.5
Sort 3, -41, 5, 1, 4 in decreasing order.
5, 4, 3, 1, -41
Sort -6/11, 231, -0.6, 1 in decreasing order.
231, 1, -6/11, -0.6
Put 0.5, 1, -0.2, 0.71 in decreasing order.
1, 0.71, 0.5, -0.2
Sort 0, -5, -7, -29, -3.
-29, -7, -5, -3, 0
Sort -2, -149, 3 in increasing order.
-149, -2, 3
Put -2/3, -0.15, 4 in decreasing order.
4, -0.15, -2/3
Put -2, 11, -1, 5/13 in ascending order.
-2, -1, 5/13, 11
Sort -433, 2/5, 0.
-433, 0, 2/5
Sort 0.159, -1/7, 0.2 in ascending order.
-1/7, 0.159, 0.2
Put 6, -2, -66 in increasing order.
-66, -2, 6
Sort 17, -156, -5 in ascending order.
-156, -5, 17
Sort 0.03, -21, -1, 4 in decreasing order.
4, 0.03, -1, -21
Put 3, 1, -3, 0 in ascending order.
-3, 0, 1, 3
Sort 0.21, -2, 1, 3/8 in descending order.
1, 3/8, 0.21, -2
Put 1, -5, 4, 3, 291 in decreasing order.
291, 4, 3, 1, -5
Put 7, 2, 3 in decreasing order.
7, 3, 2
Sort 2, 17/120, 1/5 in descending order.
2, 1/5, 17/120
Sort 0.3, 0, -385/4 in decreasing order.
0.3, 0, -385/4
Sort 2, -1, 130.
-1, 2, 130
Sort 0, -2, 431 in increasing order.
-2, 0, 431
Put 5, 216, 3 in | {
"pile_set_name": "DM Mathematics"
} |
- t = 834, -r*j = -t - 727 - 661. List the prime factors of j.
277
What are the prime factors of (3/((-54)/(-30612)))/((-4)/(-12))?
2, 2551
Let y = 17623 - 3123. What are the prime factors of y?
2, 5, 29
Suppose 0 = -4*k + 5*x - 28, 0 = -5*k + x - 14 - 21. Let c(u) = 8*u**2 + 20*u - 4. List the prime factors of c(k).
2, 31
Suppose 2*m - 6709 = -q - 329, -3*m = 5*q - 9570. List the prime factors of m.
2, 5, 11, 29
Suppose -319 = -3*k - 5*n - 92, -4*k + 5*n = -256. Let r be (200/(-15))/((-2)/k). Suppose r = 5*w + 2*h, 0 = w + h - 0*h - 95. List the prime factors of w.
2, 3, 5
Let u = 27 - -194. Suppose 4*g + p - u = 0, -2*g + p + 121 = -2*p. What are the prime factors of g?
2, 7
Let d = -1058 - -1881. Let t = d - 500. List the prime factors of t.
17, 19
Let k = 124 - -102. Let a = 228 + k. What are the prime factors of a?
2, 227
Suppose 5*x + 16*o = 21*o + 248385, 4*x + 3*o = 198729. What are the prime factors of x?
2, 3, 5, 23
Let s be (30/(-18))/(15/(-9)). Let p(f) = s - 492*f**3 - 2 + 2*f + 579*f**3 - f**2. List the prime factors of p(1).
3, 29
Suppose -126467 - 71139 = -32*y + 55706. What are the prime factors of y?
2, 1979
Suppose 46*o = -48*o + 728688. List the prime factors of o.
2, 3, 17, 19
Let z(w) = 132*w - 424. What are the prime factors of z(55)?
2, 1709
Let t(y) = -8*y + 171. Let i be t(22). Let d(z) = -209*z - 204. List the prime factors of d(i).
29
Let a(d) = d**2 + 7*d - 8. Let n be a(-9). Let p(q) = q**2 - n*q + 1 + q**3 + 0 - 7*q + 5*q. What are the prime factors of p(4)?
3, 11
Suppose 64 = 4*c + 4*p, 4*c = 3*c + 5*p + 16. Let h be (-1)/((-68)/c + 4). Suppose h*l + 765 = 13*l. List the prime factors of l.
5, 17
Let q = -279 + 315. List the prime factors of ((-10)/(-4))/(15/q) - -759.
3, 5, 17
What are the prime factors of 56/(-126)*(-9)/24 - (-23662)/12?
2, 17, 29
Let v be (-1504)/112 - (-9)/21. Let o(a) = -32*a - 31. List the prime factors of o(v).
5, 7, 11
Suppose 0*k + 7*k = -189. Let t(r) = -20*r - 35. What are the prime factors of t(k)?
5, 101
Let m(o) = o**2 + 3*o - 6. Let j be m(-4). Let g be (-8)/j + (110 - -9). Suppose -y = g - 317. List the prime factors of y.
2, 97
Let z = -110 + 112. Suppose z*h + c - 655 = 3*h, 3*h + 1955 = -2*c. Let m = -421 - h. List the prime factors of m.
2, 29
Suppose -148*i + 160 = -156*i. Let m(r) = -11*r + 150. What are the prime factors of m(i)?
2, 5, 37
Suppose 507*n + 14672 = 509*n. Suppose -u = 3*b - 4393, -14 - n = -5*b + 4*u. What are the prime factors of b?
2, 733
Suppose -6*p - 17 = 25. What are the prime factors of (-215 + -1)*((-42)/(-4))/p?
2, 3
Suppose 119793 = -36*c + 761817. What are the prime factors of c?
2, 37, 241
Suppose 0 = -14*i + 15337 + 81417. What are the prime factors of i?
6911
Suppose -5*o + 4 = -2*s, -14*o + 13*o + 4 = -2*s. Let q(p) = -p**3 + p + 691. List the prime factors of q(o).
691
List the prime factors of (4/5)/((-235)/(-12885050)).
2, 5483
What are the prime factors of 13/(143/22)*257?
2, 257
Suppose 3*s = 6*s + 4*p + 23, 5*s = -5*p - 35. Let t(w) = 23*w**2 - 18*w - 95. List the prime factors of t(s).
2, 3, 5, 19
Suppose -f + 154 = 5*x, 5*x + 7 - 27 = 0. What are the prime factors of f?
2, 67
Suppose 4*y - 3*w = -y - 184, 4*w - 117 = 3*y. Let b = 39 + y. Suppose -58 = 2*s - b*s - 4*f, 126 = 4*s - 2*f. List the prime factors of s.
31
Suppose -4*s - 18 = -18. Let j be -1 - 56 - (3 + s). Let l = -20 - j. What are the prime factors of l?
2, 5
Let n be 46/5 - 2/10. Let z(x) = -2*x**2 + 20*x + 7. Let u be z(n). Suppose c = u + 20. List the prime factors of c.
3, 5
Let s = -40 + 76. Suppose -8*u - 196 = -u. Let m = u + s. List the prime factors of m.
2
Suppose 2*g - o = g + 13542, 2*o = -5*g + 67717. List the prime factors of g.
29, 467
Let y be 9*(-6 - (-128)/24). List the prime factors of 164*(-4 - y) + -2.
2, 163
Suppose 25 = 48*x - 71. Suppose 5*j = u - 6*u + 35, u - 3*j - 19 = 0. What are the prime factors of ((-156)/(-15))/(x/u)?
2, 13
Let m(d) = -1194*d - 6. Let l be m(-7). Suppose -u + l = 8*u. What are the prime factors of u?
2, 29
Suppose 5*l = -2*i + 9123, i - 5*l + 696 = 5235. List the prime factors of i.
2, 3, 11, 23
Let d(g) = -g**3 - 13*g**2 - 43*g - 6. Let j be d(-6). Suppose r + 5*r - 240 = j. What are the prime factors of r?
2, 5
Suppose -11*z = -7*z - 88. Let s = z - 20. Suppose -w = s*w - 90. What are the prime factors of w?
2, 3, 5
Let o be (-1 + 44/28)/(4/33838). Suppose 15*s = o + 4931. List the prime factors of s.
3, 7, 31
What are the prime factors of (-18)/(-3 + 35055/11688)?
2, 3, 487
Suppose 2*d + 4*n + 2 + 12 = 0, -3*n = -2*d + 7. Let g be (-72)/(-6)*d*(-64)/6. Suppose 96 = 8*f - g. What are the prime factors of f?
2, 7
Let p(s) = 49*s**3 - 6*s**2 - 8*s - 1. List the prime factors of p(4).
31, 97
Suppose 0 = 5*w + 5, -2*i - i + 20 = -5*w. Suppose 11*y - 8*y = -h + 3656, -i*y = -3*h - 6084. What are the prime factors of y?
2, 3, 7, 29
What are the prime factors of (2791 - (13 - 33))*5*1 - -4?
17, 827
Suppose 0 = 406*r - 408*r - 6, 4*p + 4*r = 29132. What are the prime factors of p?
2, 3643
Let s = 157 + 375. Suppose -78*u + s = -71*u. What are the prime factors of u?
2, 19
Suppose 0 = -641*q + 731*q - 865080. List the prime factors of q.
2, 3, 89
Suppose -2*t = 3*t. Let u(i) = 60*i**2 - 390*i - 5. Let k be u(7). Suppose a + 4*a - k = t. List the prime factors of a.
41
Let g be (-2)/((-8)/602) + 12/(-8). Suppose -o + 23 = 3*r, 0 = 2*r + r - 4*o + 2. Suppose 533 - g = r*v. What are the prime factors of v?
2
Let q = 5454 + 1537. List the prime factors of q.
6991
Let v(d) = 8*d**2 + 699*d + 224. List the prime factors of v(-114).
2, 12253
Let h(y) = 13*y + 62. Let l be h(-5). Let a be l/(5 + (-17)/4). List the prime factors of 14 - (a + 1 + 0)/(-1).
11
Suppose 8 = -3*f + 5*f. Suppose f*q - 8567 = -3*w, 0 = -3*w + 2*q - 7*q + 8572. Suppose 16*h - 5*h = w. List the prime factors of h.
7, 37
Let n(h) = -7*h**3 + 4*h**2 + 4*h + 4. Let r be n(-4). Let z be (9 + -3)*(2187/(-6))/9. Let m = r + z. List the prime factors of m.
257
Let k(p) = 3*p**2 - 15*p + 15. Let l be k(11). Suppose -s - 2 = 3*x + 49, -5*s - l = x. Let g = -23 - s. List the prime factors of g.
19
Let v(h) be the third derivative of -h**5/30 + h**4/6 + 1309*h**3/6 - 203*h**2. What are the prime factors of v(0)?
7, 11, 17
Let k(y) = -50*y - 226. What are the prime factors of k(-52)?
2, 1187
Let v(r) = -13*r + 7. Let s be v(-6). Suppose -z + s = -n, -5*z - 3*n + 267 + 190 = 0. Let i = 149 - z. List the prime factors of i.
2, 3, 5
What are the prime factors of ((-8664)/76)/(1*3/(-80))?
2, 5, 19
List the prime factors of 41744/12 - (6 - (-64)/(-12)).
2, 37, 47
Let x be 51/18 - 6/(-36). Suppose -a = -4*b - 8, -x*a + 60 = -2*b - b. Suppose a*c - 20*c = 932. List the prime factors of c.
233
Let p(d) = 22*d**3 - 9*d**2 - 2*d + 6. Let w be p(3). Let v = 586 + w. What are the prime factors of v?
7, 157
Let k = -3382 - -15728. List the prime factors of k.
2, 6173
Suppose -67*g + 246025 + 732718 = 83757. List the prime factors of g.
2, 6679
List the prime factors of ((-4690 - 2) + 8)/(3 + 40/(-12)).
2, 3, 1171
Let b(x) = 24*x - 188. Let z be b(8). Suppose -5*i = -i - 16. Suppose -4*n + 2*n + 96 = -z*f, -i*n + 162 = -2*f. What are the prime factors of n?
2, 19
Let m be 0 + 1/4*12. What are the prime factors of 718/4 + m - (-4)/8?
3, 61
Suppose -5*x + 6*f + 5006 = 7*f, -3*f + 3 = 0. Let b = x - 340. List the prime factors of b.
661
Let u be 22/(-26) + (-160)/1040. List the prime factors of u + 2 + (-528)/(-3) + -1.
2, 11
Let v(b) = -b**3 + 15*b**2 - 3*b - 3. Let r be -2 - (-3 + -5)*1. List the prime factors of v(r).
3, 101
Let n(t) = -516*t - 340. What are the prime factors of n(-6)?
2, 13, 53
Suppose -22*p - 11*p + 159545 = -16*p. What are the prime factors of p?
5, 1877
Let n(o) be the third derivative of 7*o**4/24 + 43*o**3/3 + 2*o**2 + 78*o. What are the prime factors of n(2)?
2, 5
Suppose -14*x + 42668 + 81387 + 25255 = 0. What are the prime factors of x?
3, 5, 79
Suppose 4*y + 7 = 3*b + 21, b = -y + 7. Suppose -2*o - 1162 = l - 5*l, -y*o + 318 = l. What are the prime factors of l?
293
Let a(t) = 35*t**2 - 5*t + 15. Let o(u) = -u**2 - 1. Let z(x) = a(x) + 15*o(x). Let h be z(-3). Suppose -4*w + h = w. What are the prime factors of w?
3, 13
List the prime factors of (1 + -4888)*455/ | {
"pile_set_name": "DM Mathematics"
} |
Let w = 3999 - 3975. What is the remainder when 4463 is divided by w?
23
Let t(h) = -h**3 - h**2 + h - 20. Calculate the remainder when t(-4) is divided by 23.
1
Let z be 60/68 - (-24)/204. Calculate the remainder when 126/18 + z*3 is divided by 3.
1
Let d(g) = g**3 + 12*g**2 + 23*g - 10. Let b = 34 + -42. Let x be d(b). Suppose 4*o + x = 6*o. Calculate the remainder when o is divided by 8.
7
Let r be 7*(-9 - -7)*9/(-2). What is the remainder when 25 is divided by 24/252 + 435/r?
4
Let t(v) be the first derivative of 3*v**3 - v**2/2 + 3*v - 140. Calculate the remainder when 122 is divided by t(-2).
40
Calculate the remainder when 16876 is divided by -10*(-2231)/(-115)*(-1)/2.
95
Suppose 3*p - 26 = -11, 159 = 4*m + 3*p. What is the remainder when 244 is divided by m?
28
Suppose -2*c - 1816 = -6*c + 4*n, -896 = -2*c - n. Let h(a) = -3*a**3 - 2*a**2 - 4*a - 3. Calculate the remainder when h(-3) is divided by (-1)/(-3)*7/(42/c).
22
Suppose -50*v + 5010 = -5636 + 946. What is the remainder when v is divided by 7?
5
Let h(y) = y**3 - 7*y**2 - 26*y + 21. Let i(t) = 2*t**2 - 10*t - 2. Let j be i(6). Calculate the remainder when 181 is divided by h(j).
59
Suppose -28*w + 12 = -25*w. Suppose 9*o + a = 6*o + 11, -2*o + w*a = 2. Calculate the remainder when 17 is divided by o.
2
Let r = 136 + -131. Suppose -r*o = -28*s + 30*s - 11, 4*o = -s + 7. What is the remainder when 2 is divided by o?
0
Suppose -474*h = -486*h + 21024. Calculate the remainder when h is divided by 15.
12
Let z = 2822 - 2699. Calculate the remainder when z is divided by 8.
3
Let h(d) = -d**3 + d**2 + 55. Suppose -2*c - 3*n = -43, -7*c + 8*n = 12*n - 183. What is the remainder when h(0) is divided by c?
26
Let v(h) = 4*h + 1. Suppose 0 = 7*u - 12*u + 55. Calculate the remainder when v(u) is divided by 24.
21
What is the remainder when (-8)/12*(7 + -754)/1 is divided by 191?
116
Let v be 16/12 + 2/3. Suppose 0 = v*l - 10*l + 56. Suppose 23 = 2*r - l. What is the remainder when 58 is divided by r?
13
Suppose 4*m = 16, 0 = 2*r + 2*m - 14 - 62. What is the remainder when 3875 is divided by r?
33
Suppose -2*v = k - 68, 3*v = -10*k + 7*k + 219. Suppose 0 = 1695*g - 1701*g + 102. Calculate the remainder when k is divided by g.
10
Let c be ((-1)/2)/(22/(-8) + 3). Let m = 262 + -158. What is the remainder when m is divided by (-6 + 1 + c)*(1 + -4)?
20
Let d = -4869 - -5053. What is the remainder when d is divided by 51?
31
Suppose -2*b + 596 + 1754 = 4*j, -4*b = -3*j + 1768. Calculate the remainder when j is divided by 11.
5
Let l(o) = 5*o + 18. Suppose -5*w - 3 = 4*u - 31, -2*w + u + 6 = 0. What is the remainder when l(w) is divided by (210/40)/((-2)/(-8))?
17
Suppose -60 = -0*w - 15*w. Let b(z) = z**3 - z**2 - 9*z. Calculate the remainder when 150 is divided by b(w).
6
Suppose -4*n - 11 = -495. Let o = 6159 + -6116. Calculate the remainder when n is divided by o.
35
Suppose -7*p + 22 = -13. Suppose 5*z + 236 = -j + 4*j, -5*j = p*z - 340. What is the remainder when 157 is divided by j?
13
Let n be 1/4 + 235/20. Suppose -j + n = -1. Let x(y) = -y**2 + 27*y - 78. What is the remainder when x(19) is divided by j?
9
Let o = 3746 - 3633. Let v(z) = 8*z**2 - 4*z - 3. What is the remainder when o is divided by v(-2)?
2
Let n = 24435 - 24374. Calculate the remainder when 8172 is divided by n.
59
Let c(h) = -h**2 + 34*h + 395. What is the remainder when 1429 is divided by c(43)?
5
Let a(m) = -2*m**3 - 2. Let z be a(-2). Let r = z - -13. Suppose -5 = 3*w - 35. What is the remainder when r is divided by w?
7
Let o(c) = c**2 + c + 11. Let h(b) = -b**3 - 7*b**2 - 5*b + 6. Let g be h(-6). Let i(l) = l**2 + 4*l + 21. Calculate the remainder when i(0) is divided by o(g).
10
Let z(i) be the first derivative of -i**4/4 - 11*i**3/3 + 4*i**2 + 27*i + 25. Let p be z(-14). Let w = p + -345. What is the remainder when w is divided by 40?
38
What is the remainder when (276/10)/((-224)/280)*-8 is divided by 267?
9
Suppose -3 = 2*z + 6*s - s, 4*z + 3*s + 13 = 0. What is the remainder when 289/4 - (7/z - -2) is divided by 15?
12
Suppose -28*x + 7320 + 6512 = 0. Let c = x + -420. What is the remainder when 363 is divided by c?
67
Suppose -1480 = -r + 4*w, 5*r - 7490 = -10*w + 15*w. What is the remainder when r is divided by 499?
7
What is the remainder when 7/((-392)/(-7440)) - (-7)/49 is divided by 40?
13
Let p = 21275 + -21254. Calculate the remainder when 4283 is divided by p.
20
Suppose -6048 = 180*a - 15048. What is the remainder when ((-2)/(-4) + -1)*-292 is divided by a?
46
Suppose 2*c - 123 = -3*c - 4*h, 5*c + 3*h - 126 = 0. Suppose 20 = -25*x + c*x. Calculate the remainder when 40 is divided by x.
0
Suppose -16*p - h = -19*p + 19646, 4*h = -20. Calculate the remainder when p is divided by 91.
86
What is the remainder when (5 - 6 - -3)*1*166 - 3 is divided by 163?
3
Let u be (-6)/9*(5 - (35 - -6)). What is the remainder when 30*u*-1*4/(-30) is divided by 28?
12
Suppose 3*o + 3*o - 18 = 0. Suppose 5*j + o*k - 55 = 0, -j = -0*j - k - 11. What is the remainder when 35 is divided by j?
2
Let s = -535 + 535. Suppose -21*u + 33*u - 1188 = s. Let v(r) = -13*r - 4. Calculate the remainder when u is divided by v(-3).
29
Suppose 98 = -3*o - 82. Calculate the remainder when ((-20)/o)/(1/249) is divided by 17.
15
Let u(v) = -9*v - 1. Let k be u(-1). Suppose -2*q - 16 = -k. What is the remainder when 116 is divided by q*(28/(-16) + (-3 - -1))?
11
Suppose 5*i + 0*i - 10 = 0, 0 = -4*p + 4*i + 552. Calculate the remainder when p is divided by ((-15)/(-120) + 3/(24/7))/(7/511).
67
Let k = -549 + 558. Let f = 0 + 0. Suppose f*u - 3*u = -3*r - 69, 3*u + r - 69 = 0. What is the remainder when u is divided by k?
5
Let a(d) = 3*d**2 - 11*d + 2. Let u(v) = v**3 + 9*v**2 - 10*v + 21. Let z be u(-9). Let y = z + -106. Calculate the remainder when 41 is divided by a(y).
19
Let b = -3112 + 4398. What is the remainder when b is divided by 43?
39
Suppose -5*h + 25 = 0, -8*n + 10*n = -2*h + 246. Suppose -5*k + 3*u = -181 + 25, u = -4*k + n. What is the remainder when 58 is divided by k?
28
Suppose d = 62 + 245. Suppose 3*b - 33*r = -35*r + 299, 0 = 3*b + 6*r - 279. Calculate the remainder when d is divided by b.
101
Let z(r) = -49*r + 10. Let a be z(-1). Suppose 8*j - 293 - a = 0. What is the remainder when 126 is divided by j?
38
Suppose 28*g - 404 = 1388. Suppose -g = -10*y + 66. Let i = 423 - 296. What is the remainder when i is divided by y?
10
Let x(r) = -12*r - 21. Let s be x(-4). Let y = 289 - s. What is the remainder when y is divided by 5?
2
Suppose 4*z = -3*r + 277, 0 = -5*r - 16*z + 18*z + 401. Suppose 0 = 2*o + 2, -5*o + 3720 = 7*b - 2*b. What is the remainder when b is divided by r?
81
Suppose 0*t + 3*t - 2*h - 295 = 0, -t - 4*h = -75. Suppose t - 116 = -3*p. What is the remainder when 41 is divided by p?
6
What is the remainder when 1*(-3)/(-3) + 267 is divided by 17?
13
Calculate the remainder when 147 is divided by (-4)/(-2)*-26*50/(-20).
17
Suppose 7*u = -11454 + 11748. Calculate the remainder when u is divided by -8*2/2*-1.
2
Calculate the remainder when ((502/(-7))/((-14)/49))/1 is divided by 246.
5
Let k = 520 - 344. Let m be 1 + 22/(-16) - (-103734)/144. Suppose m = -31*g + 43*g. Calculate the remainder when k is divided by g.
56
Let g = 3787 - 3780. What is the remainder when 327 is divided by g?
5
Let f = 1 + 2. Suppose 3*l - 212 = 4*x, -384 = -2*l - f*l - x. Suppose -4*t = -a + 43, 4*t + 82 = -3*a + 5*a. Calculate the remainder when l is divided by a.
37
Suppose 27 - 63 = -9*f. Suppose 0*l - l - 17 = -m, 2*l + 68 = f*m. Calculate the remainder when 99 is divided by m.
14
Let f(s) = 12*s + 278. Let b be f(42). Suppose 208*d - 231*d = -b. What is the remainder when 233 is divided by d?
29
Calculate the remainder when ((-11 + (-31)/(-3))*84)/((-2)/11) is divided by 10.
8
Suppose 0*m - 34 = -m - 3*y, 0 = -5*m - 2*y + 209. Let u(k) = -3*k - 40. Let p be u(-15). What is the remainder when (p - (-294)/(-9))/(1/(-3)) is divided by m?
40
Let x = 3 - -1. Suppose -3*c + 387 = 3*l, 0 = 2*l + x*c + c - 258. Suppose -4858*d + 60050 = 1147*d. What is the remainder when l is divided by d?
9
Let u = -77 - -138. Let l(i) = -2*i**2 + 9*i + 26. Let b(y) = y**3 + 16*y**2 - 34*y + 41. Let h be b(-18). What is the remainder when u is d | {
"pile_set_name": "DM Mathematics"
} |
= 0 - n. Let v = 6 - 4. Solve q = -v*s - s for s.
-4
Let d(l) = 2*l**2 - 5*l - 5. Let a be d(5). Solve 2*i - a = -3*i for i.
4
Suppose -2*o = -3*w + 6, 2*o - 3*w - 22 = -7*w. Let t = 2 - 3. Let q be (6 - (2 - t)) + o. Solve d - 3*d = -q for d.
3
Suppose -3*m - m + 12 = 0. Suppose 2*t = -l + 5, -l + 2 = -5*t - m. Solve -5 = -c - t for c.
5
Suppose 0*d + 1 = -d + r, 3*d - 3 = r. Solve d*o + 5 = -1 for o.
-3
Suppose -7*s + 21 = -7. Solve -3*r + s*r - 5 = 0 for r.
5
Let i(q) = q + 4. Let m be i(-7). Let w be 4 + m + (0 - -1). Solve -a + w*a + 4 = 0 for a.
-4
Let x = 35 + -35. Solve 5*p + 7 + 13 = x for p.
-4
Suppose 7 = c - 5. Solve o = -2*o + c for o.
4
Let k = -9 + 10. Let o be k + (0 - (-2 - -1)). Suppose -25 = -4*z + p, 0 = -3*z - 2*p + 2 + 3. Solve 1 = o*h + z for h.
-2
Let g = -8 - -3. Let b = g + 7. Solve -2*f = b*f + 20 for f.
-5
Let u be 44/16 - (-6)/(-8). Suppose -4*x + 2*z - 2 - 4 = 0, 5*x - 5 = 5*z. Let k be 1/u - 10/x. Solve 1 = 2*o - k*o for o.
-1
Let p = 96 - 92. Solve 0 = o - 0 + p for o.
-4
Suppose -6*z + 9 = -3*z. Suppose -z*k = 2*k. Solve k*l + 5*l = 15 for l.
3
Suppose -5*j = 3*b - 2*j - 42, -j = -5*b + 82. Let n = 19 - b. Solve -4*y - 1 = -n*y for y.
-1
Suppose -w - 9 = -o - 2*o, 3*w = o + 5. Solve -20 = n + w*n for n.
-5
Let c be 1 - 1 - (0 + 0). Let v(l) be the second derivative of l**4/12 - 7*l**3/6 + l. Let m be v(7). Solve m*o + 4*o + 20 = c for o.
-5
Let u(p) = -p**2 + 8*p + 3. Let x be u(8). Suppose t = -x*t - 100. Let w be 4/(12/(-9)) - t. Solve -4*v - 2 + w = 0 for v.
5
Let w = 15 - 15. Let m be 1/(-1 - -2) + 1. Solve -m = -w*z - 2*z for z.
1
Let j(z) = z**2 - 5*z + 6. Let l(i) = -i**3 - 12*i**2 - 12*i - 6. Let t be l(-11). Let s be j(t). Solve s*g - 8 = 2*g for g.
2
Let v(m) = m - 5. Let y be v(6). Suppose 0 = p - y - 0. Let r be 0/(p/(-1) - 0). Solve r = k - 2*k for k.
0
Suppose 4*q - 6 = p, 4*p - 8*p = -q + 9. Solve a - q = -6 for a.
-5
Suppose 0 = 5*i - i - 28. Let b = i + -2. Let r be 18/b + (-6)/(-15). Solve 4*w + 0*w + r = 0 for w.
-1
Let p(o) = o**3 - 2*o**2 - 2*o + 2. Suppose -4*a + 25 = 9. Suppose 16 = 4*r + a. Let u be p(r). Solve -3*m - 2*m + u = 0 for m.
1
Suppose -c - 1 = -2*g, -6 = -4*g + 2. Let o be 1 - (1 + 1 - c). Solve -2 = o*x - 4 for x.
1
Let z = -2 - -2. Suppose z*t + 5*t = 0. Suppose 0 = -3*q + 3, m = -t*m - q + 5. Solve m*d - 8 = 8*d for d.
-2
Suppose 12 - 27 = -3*v. Suppose 0 = -2*c - 1 + v. Solve -c = -2*y + y for y.
2
Suppose -3*j - 11 = 2*z, -2 = z + j + 1. Solve -3 = -z*a - 5 for a.
-1
Let s(w) = -w**3 + 5*w**2 - 4*w + 3. Let q be s(4). Suppose 2*r = -0*t + 3*t - 3, 2*t = q*r + 2. Solve -2 + r = -2*m for m.
1
Suppose 0 = d + 2*d + 4*f - 31, 5*d - 41 = -4*f. Solve -d*q + 6 = 1 for q.
1
Suppose 24 = 4*u + 8. Let i be (1 - 5) + (u - -2). Solve 0*n = i*n - 10 for n.
5
Suppose 21 = 5*f - x, f + 0*f - 1 = -3*x. Solve 6 = 7*t - f*t for t.
2
Let m be 0 - 1 - (5 - 13). Let v = -3 + m. Suppose -i - 15 = -v*i. Solve 0 = i*w - 9 - 16 for w.
5
Let g(f) = -2*f + 38. Let k be g(17). Solve 1 = k*c - 3 for c.
1
Suppose -4 = -4*y + 8. Solve 7*o = 4*o - y for o.
-1
Suppose -x = -4*m + x + 6, 3*x + 2 = -m. Let u = 3 - m. Suppose p + 17 + 3 = 5*o, 0 = -u*o - 3*p - 9. Solve -o*l = -17 + 2 for l.
5
Let o = -42 + 42. Solve 2*a + 2*a - 20 = o for a.
5
Suppose -4*h = -12 - 4. Suppose -2*i = -5*w - 23, 0*i - 2*i - 22 = 4*w. Let x be 1/((1/(-2))/i). Solve -x*f + h = -4 for f.
4
Suppose 2*q - 18 = 4*r + 12, 30 = 3*q - 3*r. Let j be 0*4/16 + 2. Suppose 2*n = -q*v + 11, 3*v + 2 = n + j*v. Solve 0 = 2*i - n - 5 for i.
4
Suppose 2*k = -2*k + 20. Suppose -k*d + v - 1 + 5 = 0, 4*d = 5*v + 20. Solve -l + 2*l = d for l.
0
Suppose 5*z - 3 = 17. Solve z*f - 14 = 6 for f.
5
Let l = 23 + -19. Suppose -l*u + 3*u + 2 = 3*i, -i - u = -2. Solve i = -5*a + 15 for a.
3
Let d(l) = l**3 + 6*l**2 + 6*l + 5. Let h be d(-6). Let k = 51 + h. Suppose -20 = -x - 4*x. Solve k = -0*b - x*b for b.
-5
Suppose -3*u + 2*w - 428 = -0*u, 2*w - 140 = u. Let p = u - -201. Suppose -3*b + 4*i + p = 0, -18 = 2*b - 4*b - 4*i. Solve -5*k + 0*k = b for k.
-3
Let d = -39 - -41. Solve d*y = -0*y - 10 for y.
-5
Let t(o) = o**3 - o**2 - 2*o + 3. Let r be t(0). Suppose -10 = -r*a + 5. Solve 0 = a*s + 2 - 12 for s.
2
Let a = 99 - 99. Solve 4*j - 4 - 4 = a for j.
2
Let n = 4 + -6. Let m = 2 - n. Solve -m*p = 8 - 20 for p.
3
Suppose 5*y + 3*m - 15 = -0*y, -4*y - 5*m + 25 = 0. Solve -2*l = -y*l - 8 for l.
4
Let x(h) = 93*h**2 - 2*h - 1. Let p be x(-1). Suppose 5*t = -d + t - 37, 4*d - 2*t + p = 0. Let i = d - -40. Solve 0 = 5*c - 0*c + i for c.
-3
Let g(b) = b**3 - 9*b**2 + 8*b + 4. Let k(y) = y**3 - 5*y**2 + 3*y - 7. Let f = -5 + 10. Let t be k(f). Let j be g(t). Solve -j + 0 = z for z.
-4
Let x(w) = 0*w**2 + w**2 + 6*w**2 - w**3 - 3*w - 4*w - 1. Let r be x(5). Suppose -3*j + r = -16. Solve -j = -0*s - 5*s for s.
2
Suppose -4*q + 5 = -11. Solve 0 = -q*r + r + 9 for r.
3
Let x be 4/10 - 4/10. Let i be x - (-6)/3 - -1. Solve 9 = -i*a - 6 for a.
-5
Let q = -5 - -20. Solve -q = -4*b + 5 for b.
5
Let a be -2 + (-8)/(-2) + 0. Suppose -18 = -x - a*x. Let f = x + -4. Solve -f = -5*p + 3 for p.
1
Let q(v) = -v**3 + 26*v**2 - 25*v + 4. Let k be q(25). Suppose 6 = -i + 21. Solve 0 = k*y + 1 + i for y.
-4
Suppose -4*o + 2*u + 28 = -4, 5*u = -4*o + 4. Solve -o*b = -b + 20 for b.
-4
Let w(p) = -4*p - 19. Let m be w(-6). Solve m*j + 1 = -9 for j.
-2
Suppose -5 = 2*j - 5*q, -5*j + 5*q = -39 + 14. Solve -t = 4*t + j for t.
-2
Suppose -4*l = -4*s - 1 - 7, 0 = s - 2*l + 6. Suppose s*b - 4 = -2*h + 6, -3*h = -5*b - 15. Solve b = -2*q - 3 - 1 for q.
-2
Let k(v) = 9*v - 11. Let l(o) = 2*o - 2. Let j(i) = 2*k(i) - 11*l(i). Suppose 0 = 4*u + 3*g + 11, -7*g - 5 = -2*g. Let c be j(u). Solve -3*t + c*t = 0 for t.
0
Let z be (16/(-6))/(2/6). Let x be 1*3/3*z. Let t be ((-16)/(-6))/(x/(-12)). Solve 0*g + t*g = 0 for g.
0
Let o = -17 + 22. Solve -o*t = -t + 20 for t.
-5
Suppose -b + 2*d = -d + 4, -7 = -2*b + d. Suppose b*w = w. Suppose 4*u = -w*u. Solve u = -z + 4*z + 15 for z.
-5
Suppose 0 = 3*j + 3*n - 27, -4*j - 2*n + 41 = 3*n. Suppose 0 = -2*h + j - 0. Solve -6*s + 4*s = h for s.
-1
Suppose 10*z + 8 = 12*z. Let j = 3 + -2. Solve z*o - j = -5 for o.
-1
Suppose 55 = 47*l - 42*l. Let o be 4*1 + 0/2. Solve -5*y - l = o for y.
-3
Let p = 57 + -52. Let x be (-3)/((-3)/(-4)*-1). Suppose -4*m + 12 = -h, 3*h + x*m + 4 - 32 = 0. Solve p*u = h*u for u.
0
Suppose 0 = 2*d + 2, -2*d - 7 = -h - 0*d. Suppose h*r - 3 = 17. Solve -r*m + m + 6 = 0 for m.
2
Suppose 0 = -4*g - 4 + 20. Suppose 2*j = -j + 3*p + 3, -4*p = g*j - 20. Suppose 0 = 4*q - c - 51, 4*c + 22 = -0*q + 2*q. Solve -2*z - j = -q for z.
5
Suppose 4*v + 0 = 4. Suppose 0 = -7*x + 2*x + 20. Solve -5*k + x*k = v for k.
-1
Let g(u) = u - u - 7 + 2*u. Let v = -8 + 13. Let t be g(v). Solve -3*b = -t - 12 for b.
5
Suppose 0 = 9*t - 3*t - 120. Let c(j) = j**2 + 3*j - 4. Let w be c(-4). Solve -s - 4*s + t = w for s.
4
Let q = 9 - 7. Suppose -o + j + 6 = 1, -q*j = -3*o + 10. Solve o = -2*m + 5*m + 12 for m.
-4
Let n = 14 + -21. Let q = 22 + n. Solve -q = -t - 4*t for t.
3
Let o be 4/(-5) - (-1932)/(-10). Let u be o/(-10) + 2/(-5). Solve 4 = 5*x + u for x.
-3
Let k(n) = -5*n. Let a be k(-5). Let z(t) = 4*t + 4. Let y be z(0). Solve -y*o = -9*o - a for o.
-5
Suppose 3*a - 16 + 4 = 0. Suppose 4*q + j - 13 = 0, -j = -3*q - 2*j + 9. Solve -q = -0*o - a*o for o.
1
Let t(s) = s**3 - 14*s**2 - 16*s + 15. Let w be t(15). Solve -2*n + w*n - 8 = 0 for n.
-4
Let a(m) = -m**2 + 16*m - 13. Let y be a(15). Suppose 2*t = y + 8. Solve t*f = 3*f - 8 for f.
-4
Suppose 0*a - 5*a + 20 = 0. Suppose 48 - a = 4*z + 5*c, 3*z - 3*c = 6. Solve z*k - 2*k = 20 for k.
5
Let z = -37 - -42. Solve 2 = -4*m + z*m for m.
2
Let t(g) = 2*g + 19. Let x be t(-8). Suppose v - 10 = -0*v. Let z = v + 6. Solve -h - z = x*h for h.
-4
Let d be (72/20)/((-24)/(-160)). Solve -d = -5*h + 1 for h.
5
Let h = 15 - 11. Let c(a) = -a - 2. Let b(k) = -k**2 - 9*k + 5. Let o be b(-10). Let u be c(o). Solve -r + h = u*r for r.
1
Let a(t) = -t - 3. Let m be a(-7). Suppose -4*y + 0*y + 16 = 0, -4*y = m*d - 20. Solve d = -2*f + 11 for f.
5
Let i = 9 - 5. Solve 0 = -i*h - 0*h - 4 for h.
-1
Let v(z) = -z**2 - 10*z - 12. Let p be v(-8). Suppose 2*u + 3*s = 6*u - 23, 7 = u - s. Suppose -6 = u*l - 22. Solve -l - p | {
"pile_set_name": "DM Mathematics"
} |
without replacement from kbkbabbukkubb. Give prob of picking 2 b, 1 u, and 1 k.
24/143
Two letters picked without replacement from {f: 5, x: 11}. Give prob of picking 1 f and 1 x.
11/24
Two letters picked without replacement from bjjxjjbbj. Give prob of picking 1 b and 1 x.
1/12
What is prob of picking 1 u and 1 h when two letters picked without replacement from {e: 1, u: 1, d: 1, t: 2, i: 1, h: 1}?
1/21
Calculate prob of picking 2 g and 1 p when three letters picked without replacement from ggggogmppggppgog.
9/35
Three letters picked without replacement from ysyvsyvgyeeysysvssag. Give prob of picking 3 s.
1/57
What is prob of picking 2 y when two letters picked without replacement from yyyyy?
1
Three letters picked without replacement from vvzdozooovodooz. What is prob of picking 1 z, 1 d, and 1 v?
18/455
What is prob of picking 1 t and 1 p when two letters picked without replacement from {p: 1, z: 1, t: 7}?
7/36
Calculate prob of picking 3 i and 1 z when four letters picked without replacement from {z: 1, u: 1, a: 2, o: 6, i: 3}.
1/715
Four letters picked without replacement from nnnnannnnnntntnntaa. Give prob of picking 2 a and 2 t.
3/1292
What is prob of picking 4 w when four letters picked without replacement from dwdd?
0
Calculate prob of picking 1 f and 1 v when two letters picked without replacement from bsrfv.
1/10
Calculate prob of picking 1 f and 1 m when two letters picked without replacement from {v: 1, f: 1, q: 1, l: 1, m: 1}.
1/10
Four letters picked without replacement from vvovvvvvo. Give prob of picking 3 v and 1 o.
5/9
Calculate prob of picking 2 z when two letters picked without replacement from zppzz.
3/10
Calculate prob of picking 1 w, 1 c, and 1 g when three letters picked without replacement from gcwgccggg.
5/28
Four letters picked without replacement from {s: 4, k: 4, x: 3}. Give prob of picking 1 x, 2 s, and 1 k.
12/55
Two letters picked without replacement from lccacchcjheccejl. What is prob of picking 1 a and 1 j?
1/60
Four letters picked without replacement from qqqffqqvqffffqqfqqfq. What is prob of picking 4 q?
22/323
Calculate prob of picking 1 a and 1 r when two letters picked without replacement from jsajjrjsjhhjshjhs.
1/136
Two letters picked without replacement from pfowpfwfwfffpgfp. Give prob of picking 1 f and 1 g.
7/120
What is prob of picking 3 u when three letters picked without replacement from {u: 3, v: 2, i: 5}?
1/120
Calculate prob of picking 2 j when two letters picked without replacement from jjjsssjsjj.
1/3
Two letters picked without replacement from {k: 2, o: 2}. Give prob of picking 1 k and 1 o.
2/3
Two letters picked without replacement from {e: 5, h: 1, l: 1, f: 2, q: 3}. What is prob of picking 1 f and 1 e?
5/33
Three letters picked without replacement from sssfhhnhnsssgnf. Give prob of picking 1 f, 1 s, and 1 n.
36/455
Two letters picked without replacement from {g: 4, e: 15}. What is prob of picking 2 g?
2/57
Calculate prob of picking 4 e when four letters picked without replacement from {e: 10}.
1
Three letters picked without replacement from kuspkks. What is prob of picking 1 k, 1 p, and 1 u?
3/35
Two letters picked without replacement from vhcxxwhcwcrhhcw. What is prob of picking 1 r and 1 h?
4/105
What is prob of picking 2 k, 1 h, and 1 r when four letters picked without replacement from ffhfkkfffhkhrffr?
9/910
What is prob of picking 1 p and 2 v when three letters picked without replacement from {p: 7, v: 6, l: 1}?
15/52
Calculate prob of picking 1 d and 1 x when two letters picked without replacement from vdocssxdcscoscsddos.
4/171
Calculate prob of picking 3 w and 1 k when four letters picked without replacement from orwwrrwkwrrorwwrwr.
7/612
Calculate prob of picking 2 u and 1 t when three letters picked without replacement from tqmbmctutttmutm.
6/455
What is prob of picking 3 h when three letters picked without replacement from {h: 4}?
1
Three letters picked without replacement from rurur. What is prob of picking 1 u and 2 r?
3/5
What is prob of picking 2 c when two letters picked without replacement from cchh?
1/6
Three letters picked without replacement from dgmwmdwnmmmmdwdnnd. Give prob of picking 1 g and 2 n.
1/272
What is prob of picking 1 m and 1 t when two letters picked without replacement from bbtbmtbtbtbbbtwtt?
7/136
Two letters picked without replacement from {i: 1, w: 2, q: 4}. Give prob of picking 1 i and 1 q.
4/21
Four letters picked without replacement from weweedde. Give prob of picking 2 e and 2 w.
3/35
Two letters picked without replacement from {c: 1, o: 4, a: 2, b: 4}. Give prob of picking 1 o and 1 a.
8/55
Three letters picked without replacement from {e: 2, c: 1, t: 1, u: 1, k: 4}. What is prob of picking 1 k, 1 u, and 1 e?
2/21
Four letters picked without replacement from iiiicc. Give prob of picking 3 i and 1 c.
8/15
Four letters picked without replacement from {l: 1, b: 2, p: 3, y: 1, k: 1, s: 3}. What is prob of picking 2 b, 1 y, and 1 l?
1/330
Calculate prob of picking 2 f when two letters picked without replacement from {f: 10, v: 2}.
15/22
Two letters picked without replacement from {u: 6, b: 7, s: 5, i: 1}. What is prob of picking 1 b and 1 s?
35/171
What is prob of picking 2 w and 2 p when four letters picked without replacement from {c: 3, g: 2, w: 2, p: 4, f: 8, a: 1}?
2/1615
Two letters picked without replacement from oooo. What is prob of picking 2 o?
1
Four letters picked without replacement from ccaccciayaao. Give prob of picking 1 a, 1 c, 1 o, and 1 i.
4/99
Calculate prob of picking 2 e when two letters picked without replacement from {b: 2, e: 1}.
0
Calculate prob of picking 3 i and 1 q when four letters picked without replacement from iqqiqqqqqqiiiiiqii.
21/85
Calculate prob of picking 2 r when two letters picked without replacement from {c: 2, r: 16}.
40/51
Three letters picked without replacement from {u: 2, f: 1, h: 1, w: 1}. What is prob of picking 1 f, 1 h, and 1 w?
1/10
Four letters picked without replacement from {o: 11, d: 6, u: 1}. Give prob of picking 1 u, 1 d, and 2 o.
11/102
Calculate prob of picking 3 e when three letters picked without replacement from {y: 1, c: 4, f: 7, e: 3, k: 3}.
1/816
Two letters picked without replacement from nqyzyqgnznqqvg. What is prob of picking 1 q and 1 z?
8/91
What is prob of picking 1 k and 3 u when four letters picked without replacement from {u: 3, k: 11}?
1/91
Three letters picked without replacement from {d: 2, j: 8, o: 2, c: 5, t: 2}. Give prob of picking 1 j and 2 o.
8/969
Calculate prob of picking 1 p and 2 y when three letters picked without replacement from pppyypyypypyy.
63/143
Four letters picked without replacement from hzczqcqpccqzpzqz. Give prob of picking 1 q, 1 p, 1 h, and 1 z.
2/91
Three letters picked without replacement from {r: 8, b: 5}. What is prob of picking 1 r and 2 b?
40/143
Two letters picked without replacement from vshhvhshhhhhvzvvhz. Give prob of picking 1 s and 1 h.
2/17
Three letters picked without replacement from {i: 5, u: 5}. What is prob of picking 3 u?
1/12
What is prob of picking 2 z when two letters picked without replacement from iziikiz?
1/21
Two letters picked without replacement from zthpzhtzhz. What is prob of picking 1 t and 1 h?
2/15
What is prob of picking 1 e and 3 j when four letters picked without replacement from eejejeeeje?
1/30
What is prob of picking 2 d, 1 w, and 1 p when four letters picked without replacement from {p: 1, w: 3, a: 1, u: 1, d: 4, n: 4}?
18/1001
Calculate prob of picking 4 d when four letters picked without replacement from {u: 2, w: 1, g: 1, d: 5}.
5/126
Three letters picked without replacement from {b: 1, f: 12}. Give prob of picking 3 f.
10/13
Two letters picked without replacement from vpnvppappavnppapvpp. Give prob of picking 2 p.
5/19
Three letters picked without replacement from mimuiummbluubiiueu. Give prob of picking 1 l and 2 u.
5/272
Two letters picked without replacement from ssssssslsssl. Give prob of picking 2 s.
15/22
What is prob of picking 1 n and 1 e when two letters picked without replacement from enx?
1/3
What is prob of picking 2 s when two letters picked without replacement from {s: 4, d: 5, n: 3}?
1/11
What is prob of picking 1 v and 1 d when two letters picked without replacement from {v: 5, d: 3, a | {
"pile_set_name": "DM Mathematics"
} |
/(-21) + 138/(-126))/(38/(-13338399)) a composite number?
False
Suppose -2*l - 565262 = -14*p + 10*p, 4*l = -20. Is p a prime number?
False
Let g(u) = 82*u + 23. Let y(b) = -82*b - 15. Let r(a) = 6*g(a) + 5*y(a). Is r(4) a composite number?
True
Suppose -2*q = -46 + 14. Suppose q - 10 = 3*l. Suppose -l*i + 318 = -2092. Is i a prime number?
False
Is (1865456/(-40))/((-11)/(275/10)) a composite number?
True
Suppose -85 = 6*c - 23*c. Suppose 2*b = -c*r + 9119, 5*b + 21*r = 24*r + 22720. Is b a prime number?
True
Suppose 3*j = 4*r + 3, 0*r - 3*r = 2*j - 2. Let u be (32/j)/(4/256). Let x = -1321 + u. Is x a prime number?
True
Let h = 446308 + -276741. Is h a prime number?
True
Let l = -223 + 352. Let j(d) = l + 79 + d + d**3 - d**2 + 163. Is j(0) a prime number?
False
Suppose -3*t - 96 = 2*v, 0 = 2*t - 5*t - 4*v - 102. Let j = 34 + t. Suppose 4*k = -4*c + 552, 2*k + c = j*c + 251. Is k a prime number?
False
Let i(f) = f**3 - 28*f**2 + 30*f - 39. Let x be i(27). Suppose -x*m + 45463 = -31*m. Is m a composite number?
False
Suppose 0 = -4*d + 5*u + 4964371, u = 552*d - 564*d + 14893065. Is d a composite number?
True
Suppose 50*h + 15134 = 54*h - 474414. Is h prime?
True
Let g(v) = v**2 - 7*v - 43. Let o be 2/(-7) + (-605)/(-35). Is g(o) a composite number?
False
Suppose k + 2*z - 3 = 0, -5*z = k + k - 5. Suppose k*m + 3*h - 5944 = 4*m, 0 = 5*m + h - 29706. Is m a prime number?
False
Let u = -484 - -501. Let o(x) = -12*x**3 + 37 - 5*x**2 - 7*x**3 + 20*x**3. Is o(u) a prime number?
False
Let y = -464 + 111. Let k = 353 - y. Is k composite?
True
Suppose 1 = -0*p + p - 5*w, -p = -4*w - 2. Let s be 1*(-3 + 2) + p + -3. Suppose -1106 = -2*d + s*r, 0 = -3*d + 2*r + 1956 - 293. Is d a prime number?
True
Let z(g) = -g + 13. Let d be z(13). Let i(r) be the second derivative of r**5/20 - r**3/6 + 1373*r**2/2 - 18*r. Is i(d) a prime number?
True
Let k(l) = 12931*l - 362. Is k(3) a prime number?
True
Let l(v) = 50*v**2 + 8*v + 11. Let h(y) = 25*y**2 + 4*y + 6. Let a(d) = -11*h(d) + 6*l(d). Let k be a(-5). Let n = k - 124. Is n prime?
False
Let d(p) = -3*p - 81. Let f be d(-29). Is -2*(f + 1772/(-8)) a composite number?
False
Let t = -14830 - -21869. Is t a composite number?
False
Suppose m + 21 = 2*f + 6*m, 4*f = 4*m. Let w(k) = 32*k**2 - 10 - 5*k - f + 4 + 4. Is w(6) prime?
True
Let h be 4/(-3 - -2)*274. Let j = -492 - h. Let z = j + -273. Is z a composite number?
False
Let j(b) = 355*b**2 - 12*b + 4. Let p(t) = 14*t - 77. Let k be p(6). Is j(k) prime?
False
Suppose 4*t - 34885 = 5*k, 4*k + 10*t + 27872 = 6*t. Let c = k - -13746. Is c composite?
True
Let x be 4 - 7*(-5 + -2078). Let h = x - 8476. Is h a composite number?
True
Let a(y) = 4*y - 151 - 18*y - 10*y + 2*y. Is a(-47) a prime number?
True
Is (2 - 328924/(-10)) + 28/(-770)*11 composite?
True
Let g be -474*(5 + 14/(-6)). Let s = g - -2363. Is s prime?
False
Let v(m) = 2*m**3 - 25*m**2 + 15*m - 24. Let j be v(12). Suppose -7871 + 2483 = -j*u. Is u a composite number?
False
Suppose -24*o + 21*o = -z + 44695, -z = 5*o - 44671. Is z prime?
False
Suppose -24 = -0*z - 4*z. Let k be (63/z)/(12/64). Is ((-111)/12)/((-2)/k) prime?
False
Suppose -880502 = -420*n + 406*n. Is n a composite number?
True
Let o be 1 + 1691784/30 + 3/15. Suppose 5*r + 7949 - o = 0. Is r a prime number?
True
Let r(c) = -c**2 - 4*c + 7. Let h be r(-5). Let m be 68465/35 + (-3)/21. Suppose 6*o - m = h*o. Is o a composite number?
True
Let j(m) be the first derivative of 76*m**2 - 42*m + 26. Let k be j(-5). Is 14/42 - k/6 prime?
False
Suppose 5*q = -5*s + 1015, 614 = -3*s + 6*s - 2*q. Suppose 6*y = 936 + s. Suppose -1382 = -12*v + y. Is v a composite number?
False
Is 881793/72 - (-6)/(-48) a prime number?
False
Let u be 46*((-334)/8 - 6/24). Let o(m) = 30*m**2 + m - 14. Let c be o(-11). Let i = u + c. Is i prime?
False
Suppose 64221 = 33*x - 226278. Is x composite?
False
Suppose 4*v - a - 408619 = 0, 0 = 11*a - 6*a - 5. Is v composite?
True
Let t(h) = -7*h - 11719. Let r be t(0). Let c = 22746 + r. Is c composite?
False
Let q(t) = 109*t - 11. Let v(h) = -218*h + 21. Let n(m) = 13*q(m) + 6*v(m). Is n(7) a prime number?
False
Let v(h) = -11657*h - 368. Is v(-5) a prime number?
True
Let b be ((-6)/(-30))/(2/7690). Suppose -d = -105 - b. Is 8/(32/(-12)) + d a composite number?
True
Suppose 7*p - 1341895 = -4*z, z - 30*p + 27*p = 335488. Is z a composite number?
True
Let m(u) = -95890*u + 243. Is m(-4) a prime number?
False
Let l(j) = j**3 + 3*j**2 + 5*j. Let r be 66/(-30) - 3/(-15). Let n be l(r). Let v(p) = -63*p + 3. Is v(n) a composite number?
True
Let o = -153953 + 242994. Is o a composite number?
False
Suppose 26*w + 402 = 27*w. Suppose -5*a = -4*k - 50, 4*a - k + 4*k - 9 = 0. Suppose w = 8*g - a*g. Is g composite?
True
Let z = 5644 + -8428. Let c be 210/40*752/(-6)*(-9)/(-6). Let p = c - z. Is p composite?
True
Is 224562/4 + ((-567)/42 - 84/(-6)) prime?
False
Let f(w) = 2 - 7*w + 28*w - 8*w - 11*w. Let d be f(1). Suppose 4*p - d*h = 1628, 3*p = p + 5*h + 808. Is p a prime number?
True
Let f(d) = 6*d + 20. Let w be f(13). Let u(j) = 11 - 12*j + 32*j**2 - 1 + w*j**2 + 3. Is u(6) a composite number?
False
Let u(s) = 10*s**2 + 4*s + 5. Let j(q) = 8*q**2 + 3*q + 1. Let c(t) = -t - 6. Let v be c(-5). Let r be j(v). Is u(r) a prime number?
True
Let t(n) = 5*n**2 + 9*n + 9. Let m(a) = a**2 + a + 1. Let s(k) = 2*m(k) + t(k). Let l(h) = h**3 + 10*h**2 - 10*h + 2. Let b be l(-11). Is s(b) prime?
True
Suppose 268*d - 260*d - 507760 = 0. Suppose -14*s = -36*s + d. Is s prime?
False
Let h be (-9 + (0 - -8))/((-2)/(-8)). Is ((-6)/h)/(((-360)/275696)/(-15)) a prime number?
True
Let d(l) = -2*l**2 - 40*l + 49. Let n be d(-21). Suppose 56925 - 13112 = n*i. Is i prime?
False
Suppose -2*t + 2*p = -1067406, -2*p = 5*t - 8*t + 1601117. Is t a prime number?
True
Let r = 628 + -449. Let v = 3768 + r. Is v composite?
False
Let y(c) = -116*c**3 + 3*c**2 - 8*c + 1. Let v be y(4). Let w be v/6 - (-9)/6. Let x = w - -2320. Is x a composite number?
False
Suppose 5*b - 2*y - 5232481 = 0, 28*b - y + 6278967 = 34*b. Is b a prime number?
False
Let b be 1/(-3) + 658/21. Suppose 31 - b = -5*l. Suppose l*t + 129 = y + 2*t, -4*y + t = -471. Is y composite?
True
Let v = 13655 + 1284. Is v composite?
False
Suppose -81647 = -f - 5*k, 0 = f - k + 35935 - 117582. Is f a composite number?
False
Let b(s) = -s**3 + 9*s**2 + 11*s - 22. Let r be b(10). Let q be (-6)/24 + (-99)/r. Suppose 6*g + 1906 = q*g. Is g composite?
False
Suppose 2 = -8*w + 82. Let q = 7 + w. Let k(a) = a**3 - 15*a**2 + 40*a + 15. Is k(q) a prime number?
False
Suppose 16 = -4*r, -2*h + 3*r + 4368 = 8*r. Suppose -13*u + 13107 = -h. Is u composite?
True
Let b(a) = -37445*a + 6569. Is b(-49) a prime number?
False
Let h(w) = -285*w + 1598. Is h(-105) a composite number?
True
Let b(v) be the third derivative of v**5/30 + 19*v**4/24 + 4*v**3 + 5*v**2. Let t be b(16). Suppose 4*u - t = -4*j + 1704, j - u = 626. Is j prime?
True
Let x(a) = -4013*a + 2285. Is x(-12) composite?
False
Is (0 + 3655504/20)*(-30)/(-12) a prime number?
False
Let f(m) = -63*m**3 + 5*m**2 - 7*m - 5. Let p(g) = 63*g**3 - 6*g**2 + 7*g + 6. Let c(y) = 6*f(y) + 5*p(y). Let j be c(-3). Suppose -6*r = -j - 396. Is r prime?
True
Suppose -3*p + 12 = 2*l - 0*l, 0 = -5*p + 10. Let o be l + (-13 - (-5 - -3)). Is (-12)/o*(-3764)/(-6) prime?
True
Let q = 4 - 1. Let u(l) = -l**2 - 28*l + 489. Let i be u(-40). Suppose 0 = q*a + i, 2*p + 650 = 4*p + 4*a. Is p prime?
True
Suppose -2*c + 2632 = -c - 5*s, -2*c = -3*s - 5285. Let o = 7313 - c. Is o a prime number?
False
Let o be 3 + -8 + 1 - 2289. Let b = o + 3680. Suppose -b = -3*a + 56. Is a prime?
False
Suppose -4*n + 424*u + 195100 = 420*u, -4*u + 97574 = 2*n. Is n prime?
True
Suppose 483*b - 481*b = -5*x + 960011, -2*x = -b - 383990. Is x composite?
False
Let c be -446*-15*(35/10)/(-7). Suppose 0 = k - 4*w + 1, -48 - 5 = 5*k + 4*w. Is c/(-10)*(-6)/k a composite number?
False
Suppose -21*u - 1069620 = -41*u. Is u a composite number?
True
Suppose 17*y = 14*y + 57. Is 5 + y/((-95)/(-72630)) composite?
True
Suppose -26*z + 20*z = 53808. Let w = 5229 - z. Is w a composite number?
False
Let z(h) = -7*h**3 + 2*h**2 - 4*h + 2. Let o be z(2). Is (156 + 1)*(-2 - o)/4 prime?
False
Suppose 4*x - 2*i - 9 = 221, 3*x + 4*i = | {
"pile_set_name": "DM Mathematics"
} |
-1 - m) - -7?
7
Suppose -278 - 340 = -3*m. List the prime factors of m/6 - 2/6.
2, 17
Let t = 36 - 15. What are the prime factors of t?
3, 7
Let c = -4 - -7. Suppose 0*i = c*i - 33. What are the prime factors of i?
11
List the prime factors of 4/(-22) - (-2656)/88.
2, 3, 5
Let w = -19 - -83. List the prime factors of w.
2
Suppose 6*m = 2*m + 48. Suppose 1 = c - 1. Suppose c*j - m = -2*j. What are the prime factors of j?
3
Let w(o) = -4*o**3 + 2*o**2 + 2*o + 1. Let t(a) = a**3 + a**2 + 1. Let b be t(-2). Let f be -2*b/(-12)*2. List the prime factors of w(f).
5
Let h = -5 - 0. List the prime factors of h*((-9)/15 - 1).
2
Let k = 13 - 6. Let l(t) = -t**2 + 8*t - 7. Let b be l(k). Suppose b = -2*m - 1 + 7. What are the prime factors of m?
3
Suppose 60 = -4*y + 8*y. What are the prime factors of y?
3, 5
Let p = 1 - -5. Suppose n - p*n = -50. What are the prime factors of n?
2, 5
Suppose -8*d - 76 = -10*d. List the prime factors of d.
2, 19
Let c(v) = v**3 + 3*v**2 - 2*v + 4. Let i be c(-3). Suppose -s = -i - 17. What are the prime factors of s?
3
Let w(a) = -a + 2. Let s be w(11). Let q = s + 11. List the prime factors of q.
2
Suppose -5*t + 367 = -8. What are the prime factors of t?
3, 5
Let y(p) = p**3 - 3*p**2 + 2*p - 2. Let v be y(3). Suppose -v*k = -k + 9. List the prime factors of -4*k/6*7.
2, 7
Let m(r) = r**3 + r**2 + 3*r + 2. Let s be m(-2). Let b(c) = -c - 6. List the prime factors of b(s).
2
Suppose -5*z - 305 = -5*p, 5*z - 151 = 4*p - 7*p. What are the prime factors of p?
3, 19
Let a(j) = -14*j**3. What are the prime factors of a(-1)?
2, 7
Let y(g) be the second derivative of -g**3/3 - 3*g**2/2 + 2*g. What are the prime factors of y(-6)?
3
Let t be 8/(1 - (-2)/2). Suppose 5*o + t = 29. Let k = o - 2. List the prime factors of k.
3
Suppose -3*r - 1 = -49. What are the prime factors of r?
2
Suppose -4*k + 5 = -5*b - 7, -3*k + 9 = 2*b. Let m(q) = q + 8. Let l be m(b). Let u(c) = c**2 - 8*c + 11. List the prime factors of u(l).
11
Suppose -5*v + 705 = 5*l, -4*v = -9*v - 4*l + 710. List the prime factors of v.
2, 73
Suppose -6*a + a + 75 = 0. Suppose 2*f - 3*f = -a. Suppose -n + f = 6. What are the prime factors of n?
3
Let n(b) = -b**2 + 6*b - 2. Let m = -9 - -15. Let o be n(m). Let k = 20 - o. What are the prime factors of k?
2, 11
Suppose -3*o - 4*i = -25, 1 = -5*o + 5*i - 4. What are the prime factors of o?
3
Suppose 0 = -5*c + 2*c + 9. List the prime factors of (c - -8 - 2) + 1.
2, 5
Suppose -4*d + 5*d - 2 = 0. Suppose 4 = d*i, 4*i + 0*i + 49 = 3*r. What are the prime factors of r?
19
Let w = 1 - -3. Suppose -68 = -5*n + c, -w*n - 5*c = -98 + 32. List the prime factors of -2*(n/(-4) - 2).
11
Let h be (-6)/(-10)*1*25. Suppose -c - 5 = 5*g, -3*g + 8*g + h = c. Suppose c*x = -4*s + 62, s = -s - 4. List the prime factors of x.
2, 7
Let l(q) be the third derivative of q**5/60 + q**4/12 + q**3/2 - 3*q**2. List the prime factors of l(-3).
2, 3
Suppose -5*j - 41 = 3*p, 37 = -p - 0*p + 3*j. Let l = 1 + 0. List the prime factors of 1/(-2)*p*l.
11
Suppose 0*c - 12 = -4*c. Suppose -25 - 32 = -c*l. List the prime factors of l.
19
Let n = -7 - -11. Let s be 75/n + 2/8. Suppose -w = w - y - s, 4*w = y + 41. What are the prime factors of w?
11
Suppose 1217 = 12*f + 233. What are the prime factors of f?
2, 41
Suppose -4*i = -8 - 12. Let s(h) = -h**3 + 5*h**2 + 3*h + 1. List the prime factors of s(i).
2
Let i = 324 + -231. List the prime factors of i.
3, 31
Let n = -39 - -12. Let r be (n - 0)/(9/(-6)). Suppose a - r = -3. What are the prime factors of a?
3, 5
Suppose 5*s - 94 = 31. List the prime factors of s.
5
Let i(y) = y**2 - 4*y. Let v be i(5). Suppose v*w = -2 + 52. Let o = -4 + w. List the prime factors of o.
2, 3
Let o(s) be the first derivative of s**4/12 - s**3 + 2*s**2 - 2*s + 3. Let u(l) be the first derivative of o(l). What are the prime factors of u(6)?
2
Let y(k) = -k**2 - 6*k + 2. Let n be y(-7). List the prime factors of 4*1*(-3 - n).
2
Suppose 0 = -3*z + q - 16, -3*q + 6*q - 28 = 4*z. Let s be (-6)/(-4)*z/(-3). Suppose s*b + 2*n + 1 = 3, -b - 7 = 5*n. What are the prime factors of b?
3
Suppose -4*f - 5*s = -0*f - 129, 0 = -5*f + 5*s + 195. Let q = 74 - f. List the prime factors of q.
2, 19
Let t = -4 + 2. Let u = -6 - t. Let d(j) = j**3 + 3*j**2 - 6*j - 4. List the prime factors of d(u).
2
Let x(j) = j**3 - 5*j**2 + 13*j - 19. What are the prime factors of x(7)?
2, 5, 17
Suppose 3*x = 2*s + 22, 5*s - 3 + 28 = 0. Suppose f = n - 31, 8*n - 154 = 3*n + x*f. What are the prime factors of n?
2, 3, 5
Let m(i) = i**3 - i**2. Let b be m(-1). What are the prime factors of (-7 - -5)*11/b?
11
Let m(o) = -3*o - 3. Let b be m(-2). Suppose -g - 165 = -5*x - b, 5*x = 2*g + 159. List the prime factors of x.
3, 11
Let m(w) = -w**2 - 2*w + 39. Let d be -9 + 5 + 4/1. List the prime factors of m(d).
3, 13
What are the prime factors of (-1*1 + (14 - -16))*4?
2, 29
Let q be (-6)/(-4)*28/6. Let x = q - 10. Let u = 0 - x. List the prime factors of u.
3
Suppose -5*u - 50 = -0*u. What are the prime factors of u/4*(-32)/20?
2
Let i be (7/14)/((-1)/(-34)). Let b = 37 - i. List the prime factors of b.
2, 5
Suppose 2*n + 2*n + 5*x = 16, 4*n - x = 16. Suppose g = 3*d - 28, -5*d + 0*g + n*g + 35 = 0. What are the prime factors of d?
11
Let x(n) be the third derivative of -n**5/60 - 5*n**4/24 - n**3/3 + n**2. Let g(z) = -z**3 + 3*z**2 + 4*z - 3. Let k be g(4). List the prime factors of x(k).
2
Let l(s) = 3*s - 5. Let b(d) = 2*d. Let a be b(2). List the prime factors of l(a).
7
Suppose 0 = 4*q + 3*a - a - 6, 4*a + 8 = -3*q. Suppose -q*o + 241 = 49. Suppose -5*u - 13 + o = 0. List the prime factors of u.
7
Suppose 4*r + q = 0, 4*r = -r - 3*q - 7. Let k be (-6)/4*r*-10. List the prime factors of ((-24)/k)/((-1)/5).
2
Suppose -28 + 9 = -s. Let n = s - 27. Let w = n + 12. List the prime factors of w.
2
Let p = -33 + 20. Let a = 28 + p. What are the prime factors of a?
3, 5
Let o(k) = k + 8. Let u = -14 + 8. Let i be o(u). Suppose -2*g = -3*w + 16, 2*g + 0 = -4*w - i. What are the prime factors of w?
2
Suppose -v - 4*v + 40 = 0. Let k = 48 - v. Suppose -k = 3*w - 7*w - 3*q, 50 = 5*w - q. List the prime factors of w.
2, 5
Suppose 6*l - 1498 = -484. List the prime factors of l.
13
Let u be -5 + 1/((-3)/(-6)). Let l = -1 + 11. Let h = l + u. List the prime factors of h.
7
Let t = -2 + 2. Let r be (-1)/(2 + 23/(-11)). List the prime factors of (t + r)/(-2 - -3).
11
Let r(m) = 76*m. Let j be r(3). Suppose j = 7*g - g. What are the prime factors of g?
2, 19
Let r(l) = -7*l + 3. Let a be r(-7). Let m = a + -22. List the prime factors of m.
2, 3, 5
Let o = 3 + -1. Suppose -2*h - 4 = -4*p, 6 = o*h - h + 2*p. Suppose -3*j = -m - 17, 5*m + 15 = 3*j + h*m. List the prime factors of j.
2, 3
Let f = 310 - 198. Suppose 3*g = 5*u + 8*g - 160, 0 = 3*u - 5*g - f. Suppose -84 = -4*l + 4*p, 4*l + 2*p - 26 - u = 0. List the prime factors of l.
17
Suppose 0*m + 8 = 2*m. Suppose 6*f - 2*f - 4*v = -m, -v = 0. Let h = 6 - f. List the prime factors of h.
7
Let j be 22/8 - (-15)/(-20). Suppose -2*i - 5*n + 40 = 0, j*i + 5*n = 3*n + 28. Let k = i + 0. What are the prime factors of k?
2, 5
Let g = 1 + 1. Let x = -35 + 65. Suppose -g*s + x = s. What are the prime factors of s?
2, 5
Suppose -98 + 463 = 5*l. List the prime factors of l.
73
Let z(k) = k**2 - 6*k + 2. Let l be z(7). List the prime factors of 120/l - (-3)/(-9).
13
Suppose 0 = 3*a + 2*a - 15. Suppose 4*d = -l - a, 5*l + 2*d - 57 = -0*d. What are the prime factors of l?
13
Suppose -280*g + 276*g + 132 = 0. What are the prime factors of g?
3, 11
Suppose -3*f - 3 = m + m, 15 = 2*m - 3*f. Suppose 4*o = 4*h + m*o - 109, 124 = 4*h - 4*o. Let s = h + -14. What are the prime factors of s?
2, 3
Suppose 0 = -2*f - 4*n + 8, -n + 6*n = 4*f - 68. Suppose h + 3 = f. List the prime factors of h.
3
Suppose -5 + 23 = j. Suppose y + j = 2*y. List the prime factors of y.
2, 3
Suppose -15*n + 34 = -14*n. What are the prime factors of n?
2, 17
Let g(n) = n + 4. Let y be g(0). Suppose -y*d + 3*d = -120. Suppose 5*x + 15 - d = 0. What are the prime factors of x?
3, 7
Suppose -y + 3*y = 6. Let w = y - 0. Suppose 0*i = w*i - 36. List the prime factors of i.
2, 3
Suppose 2*a + n = 9, 4*a - 6 = -0*a + 2*n. Suppose 2*y = 5*j - 43, 4*j + a*y - 20 = y. Suppose -j = -5 | {
"pile_set_name": "DM Mathematics"
} |
Is 341 composite?
True
Is 101081 composite?
False
Is 8914 prime?
False
Is 8329 a composite number?
False
Is 815333 prime?
True
Is 50069 composite?
False
Is 521617 prime?
False
Is 79 a composite number?
False
Is 231529 a prime number?
True
Is 4019 a prime number?
True
Is 143329 composite?
False
Is 46727 composite?
False
Is 151709 prime?
False
Is 109 a prime number?
True
Is 33339 prime?
False
Is 33401 prime?
False
Is 14813 a composite number?
False
Is 15727 composite?
False
Is 41077 a prime number?
True
Is 2897 a composite number?
False
Is 167711 a prime number?
True
Is 4547 prime?
True
Is 7523 composite?
False
Is 225033 a composite number?
True
Is 21531 a prime number?
False
Is 8323859 composite?
False
Is 4487 composite?
True
Is 2256781 a prime number?
True
Is 2379203 a prime number?
True
Is 366013 a prime number?
True
Is 38573 a prime number?
False
Is 99401 a composite number?
False
Is 1255 a prime number?
False
Is 7817 a prime number?
True
Is 35519 prime?
False
Is 9169 a prime number?
False
Is 30169 composite?
False
Is 493345 composite?
True
Is 565 composite?
True
Is 52669 a composite number?
True
Is 341839 a composite number?
False
Is 42787 prime?
True
Is 3557 a composite number?
False
Is 31307 prime?
True
Is 103793 composite?
True
Is 18101 prime?
False
Is 8119 a composite number?
True
Is 12071 prime?
True
Is 170219 prime?
False
Is 6343 composite?
False
Is 855059 a composite number?
False
Is 22613 composite?
False
Is 9953 a prime number?
False
Is 14857 a prime number?
False
Is 411469 prime?
True
Is 14441 prime?
False
Is 13613 prime?
True
Is 27139 a composite number?
True
Is 16921 composite?
False
Is 55963 a prime number?
False
Is 32117 prime?
True
Is 409 a composite number?
False
Is 16603 composite?
False
Is 8413 composite?
True
Is 40981 a prime number?
False
Is 733963 composite?
False
Is 68863 composite?
False
Is 3042437 prime?
True
Is 64466 a prime number?
False
Is 1151807 composite?
False
Is 37819 prime?
False
Is 77131 a composite number?
True
Is 236066 a prime number?
False
Is 299 prime?
False
Is 474713 a composite number?
True
Is 5273 composite?
False
Is 14621 prime?
True
Is 262 composite?
True
Is 14047 a prime number?
False
Is 535303 prime?
True
Is 170707 a prime number?
True
Is 3225653 a composite number?
False
Is 7499 a composite number?
False
Is 673391 a composite number?
False
Is 10279 a prime number?
False
Is 339187 a composite number?
False
Is 955462 a composite number?
True
Is 485131 composite?
False
Is 146273 a prime number?
True
Is 10847 a composite number?
False
Is 326473 a prime number?
False
Is 50411 a composite number?
False
Is 229351 a prime number?
True
Is 56687 composite?
False
Is 21431 a prime number?
False
Is 6180373 prime?
False
Is 89627 a prime number?
True
Is 785857 a prime number?
True
Is 328357 composite?
False
Is 907 a prime number?
True
Is 115633 composite?
True
Is 463181 a composite number?
False
Is 44753 composite?
False
Is 11677 composite?
False
Is 3643 a composite number?
False
Is 916259 composite?
False
Is 2262583 composite?
True
Is 196759 prime?
False
Is 2153 a prime number?
True
Is 24517 a composite number?
False
Is 9809 composite?
True
Is 726941 a prime number?
True
Is 4391 composite?
False
Is 121829 a prime number?
False
Is 11731 composite?
False
Is 21403 prime?
False
Is 499615 composite?
True
Is 133979 prime?
True
Is 209759 prime?
False
Is 29837 a composite number?
False
Is 130213 composite?
True
Is 32105 composite?
True
Is 7499 a composite number?
False
Is 44351 prime?
True
Is 151549 composite?
False
Is 2503 a composite number?
False
Is 2947 composite?
True
Is 39499 composite?
False
Is 117601 a composite number?
True
Is 52907 prime?
False
Is 184561 a composite number?
True
Is 45529 a composite number?
True
Is 3659 prime?
True
Is 2461223 composite?
False
Is 357377 prime?
True
Is 2213 a prime number?
True
Is 866773 a prime number?
False
Is 24611 a prime number?
True
Is 304597 a composite number?
False
Is 82373 a prime number?
True
Is 145583 a prime number?
False
Is 235 composite?
True
Is 43523 prime?
False
Is 54907 composite?
False
Is 7393 composite?
False
Is 78635 a composite number?
True
Is 73237 a composite number?
False
Is 27581 composite?
False
Is 983 composite?
False
Is 2018 composite?
True
Is 98309 prime?
False
Is 8923 a composite number?
False
Is 55439 prime?
True
Is 3821 a prime number?
True
Is 418045 a composite number?
True
Is 4981 a composite number?
True
Is 97397 composite?
False
Is 4561 prime?
True
Is 16519 a prime number?
True
Is 46171 a composite number?
False
Is 3613 a composite number?
False
Is 2357 a prime number?
True
Is 7393 prime?
True
Is 388261 a composite number?
True
Is 31 composite?
False
Is 94379 prime?
True
Is 1841657 prime?
True
Is 16691 composite?
False
Is 13327 prime?
True
Is 20653 a prime number?
False
Is 521329 a composite number?
False
Is 2041 composite?
True
Is 33107 composite?
False
Is 11183 a composite number?
True
Is 541 prime?
True
Is 16753 composite?
True
Is 457 a prime number?
True
Is 14311 prime?
False
Is 1181911 composite?
False
Is 36901 prime?
True
Is 33661 a prime number?
False
Is 7661 a prime number?
False
Is 108359 prime?
True
Is 15013 a prime number?
True
Is 142867 prime?
True
Is 7745 composite?
True
Is 64937 composite?
False
Is 7241 a composite number?
True
Is 257053 composite?
False
Is 1117 a composite number?
False
Is 13637 prime?
False
Is 2355857 a composite number?
True
Is 8543 a prime number?
True
Is 7297 prime?
True
Is 767203 a composite number?
False
Is 68767 prime?
True
Is 122677 a composite number?
True
Is 4151 prime?
False
Is 49499 a prime number?
True
Is 112687 a composite number?
False
Is 308677 prime?
False
Is 1252717 a composite number?
False
Is 96233 composite?
False
Is 33703 a prime number?
True
Is 88463 prime?
True
Is 77005 prime?
False
Is 76649 a prime number?
True
Is 192707 prime?
False
Is 3191 composite?
False
Is 125551 composite?
False
Is 2431393 prime?
True
Is 74813 a composite number?
True
Is 2012905 a composite number?
True
Is 21583 composite?
True
Is 787 prime?
True
Is 114329 a composite number?
False
Is 208733 a composite number?
True
Is 59821 a prime number?
False
Is 46793 composite?
True
Is 128077 composite?
True
Is 285029 a composite number?
True
Is 975133 prime?
True
Is 23761 prime?
True
Is 53569 a composite number?
False
Is 1286617 prime?
True
Is 189179 prime?
False
Is 2177405 prime?
False
Is 80863 prime?
True
Is 51847 prime?
False
Is 62695 composite?
True
Is 487 a prime number?
True
Is 296071 prime?
True
Is 79301 a prime number?
True
Is 171161 a prime number?
True
Is 102643 a prime number?
True
Is 78367 composite?
False
Is 144103 composite?
False
Is 191683 a prime number?
False
Is 15229 a prime number?
False
Is 134611 composite?
True
Is 197551 prime?
True
Is 29243 prime?
True
Is 286367 a prime number?
True
Is 9977 prime?
False
Is 12071 composite?
False
Is 73498 a composite number?
True
Is 191417 composite?
True
Is 1308247 a composite number?
False
Is 229891 prime?
False
Is 10729 prime?
True
Is 8461 a composite number?
False
Is 4241 composite?
False
Is 39941 a composite number?
True
Is 86447 a prime number?
False
Is 103471 a composite number?
False
Is 1949 a composite number?
False
Is 29461 a prime number?
False
Is 18119 a prime number?
True
Is 29503 composite?
True
Is 53953 composite?
True
Is 6999 a composite number?
True
Is 13121 a composite number?
False
Is 65339 a composite number?
True
Is 7555 composite?
True
Is 63967 composite?
True
Is 2117 a composite number?
True
Is 520909 composite?
True
Is 29597 prime?
False
Is 1285 a prime number?
False
Is 19373 a prime number?
True
Is 23957 prime?
True
Is 26889 composite?
True
Is 260441 a prime number?
True
Is 2927 a composite number?
False
Is 46957 prime?
True
Is 27509 a composite number?
False
Is 1088807 composite?
False
Is 32937 prime?
False
Is 759089 prime?
True
Is 100313 composite?
False
Is 29269 prime?
True
Is 521 prime?
True
Is 266233 a composite number?
True
Is 68559 prime?
False
Is 75731 a prime number?
True
Is 3506 prime?
False
Is 45827 a prime number?
True
Is 1061959 prime?
True
Is 373447 composite?
False
Is 4127 prime?
True
Is 337 a composite number?
False
Is 1511 a composite number?
False
Is 676649 a prime number?
True
Is 156977 composite?
True
Is 207121 prime | {
"pile_set_name": "DM Mathematics"
} |
ment from {f: 5, u: 2}?
10/21
Two letters picked without replacement from {s: 3, z: 4, a: 2, c: 2, u: 1}. What is prob of picking 1 u and 1 a?
1/33
What is prob of picking 1 l and 1 h when two letters picked without replacement from {l: 16, h: 2}?
32/153
Three letters picked without replacement from {u: 1, a: 2, g: 1, r: 2}. Give prob of picking 1 a and 2 r.
1/10
What is prob of picking 1 l and 1 n when two letters picked without replacement from {l: 1, t: 7, n: 1}?
1/36
Calculate prob of picking 4 k when four letters picked without replacement from kkjjkjkjjgkkkggk.
1/26
Three letters picked without replacement from {a: 10}. Give prob of picking 3 a.
1
Two letters picked without replacement from {s: 2, o: 3, h: 3}. Give prob of picking 1 h and 1 s.
3/14
Calculate prob of picking 1 g and 1 u when two letters picked without replacement from {g: 2, j: 1, q: 1, n: 2, u: 1}.
2/21
Calculate prob of picking 1 p and 2 h when three letters picked without replacement from wpffhhhhfpp.
6/55
What is prob of picking 1 v, 1 p, and 2 m when four letters picked without replacement from {e: 1, v: 1, m: 2, p: 4}?
2/35
Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {l: 10, e: 1, b: 1, p: 2, d: 2}.
1/12
Two letters picked without replacement from {k: 1, n: 1, l: 2, q: 2, u: 1, z: 1}. Give prob of picking 1 l and 1 z.
1/14
Two letters picked without replacement from ciuixwiaaucuxcc. What is prob of picking 1 x and 1 a?
4/105
What is prob of picking 2 q when two letters picked without replacement from qvvqqqqqqqqqqqqqqq?
40/51
Three letters picked without replacement from {k: 1, y: 2, t: 1, h: 4}. What is prob of picking 1 k, 1 t, and 1 y?
1/28
What is prob of picking 1 t and 1 o when two letters picked without replacement from otu?
1/3
Three letters picked without replacement from {t: 2, m: 11}. What is prob of picking 2 m and 1 t?
5/13
Calculate prob of picking 4 z when four letters picked without replacement from {x: 2, z: 5}.
1/7
Calculate prob of picking 1 b and 2 d when three letters picked without replacement from {b: 3, d: 12}.
198/455
Calculate prob of picking 1 n and 1 j when two letters picked without replacement from neejeejj.
3/28
Calculate prob of picking 1 k, 1 n, and 1 h when three letters picked without replacement from {k: 4, l: 1, m: 3, o: 1, n: 2, h: 1}.
2/55
Two letters picked without replacement from {g: 1, e: 1, p: 1, s: 6, u: 1, i: 1}. Give prob of picking 1 g and 1 u.
1/55
Four letters picked without replacement from vtlvrprrxrvt. What is prob of picking 1 r, 1 l, 1 v, and 1 x?
4/165
Three letters picked without replacement from {w: 5, f: 1, j: 7, g: 5}. Give prob of picking 1 f, 1 w, and 1 j.
35/816
Calculate prob of picking 2 r and 1 j when three letters picked without replacement from rhrrrrjrrhrrrr.
55/364
Two letters picked without replacement from jijmm. Give prob of picking 1 j and 1 i.
1/5
Two letters picked without replacement from {j: 12, k: 7}. What is prob of picking 1 j and 1 k?
28/57
What is prob of picking 1 q, 1 z, and 2 v when four letters picked without replacement from vytqdzdyv?
1/126
Two letters picked without replacement from bvvvbbbbvvbbb. Give prob of picking 2 b.
14/39
Calculate prob of picking 1 m and 1 x when two letters picked without replacement from xxmzz.
1/5
Calculate prob of picking 4 s when four letters picked without replacement from dsdddsddsfsxd.
1/715
Four letters picked without replacement from ljbblblb. Give prob of picking 4 l.
0
Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {v: 2, t: 6, u: 1, a: 1, w: 1, p: 4}.
2/35
Four letters picked without replacement from ccwewxwxaxwtat. Give prob of picking 1 e, 1 c, and 2 x.
6/1001
Calculate prob of picking 4 i when four letters picked without replacement from iiiiiii.
1
Two letters picked without replacement from kkujwiz. What is prob of picking 1 k and 1 w?
2/21
Calculate prob of picking 2 c, 1 d, and 1 r when four letters picked without replacement from rvrvcrvrdrrcdxrv.
1/130
Two letters picked without replacement from {h: 3, f: 2, u: 1, q: 1}. Give prob of picking 2 h.
1/7
Four letters picked without replacement from {b: 4, m: 7, g: 3}. Give prob of picking 2 b and 2 g.
18/1001
What is prob of picking 4 b when four letters picked without replacement from bbebbbbb?
1/2
Calculate prob of picking 2 g when two letters picked without replacement from jvnnwnvgnjggngvn.
1/20
Two letters picked without replacement from {p: 1, s: 2, d: 1, n: 1, j: 1, u: 2}. Give prob of picking 1 p and 1 j.
1/28
Two letters picked without replacement from jjjpjjepepejjprpjjjr. What is prob of picking 1 e and 1 p?
3/38
What is prob of picking 3 t when three letters picked without replacement from {t: 9, e: 10}?
28/323
What is prob of picking 3 g when three letters picked without replacement from {g: 6, v: 4, l: 2, k: 1, i: 3}?
1/28
What is prob of picking 1 s and 1 d when two letters picked without replacement from dpdmsmd?
1/7
What is prob of picking 2 i when two letters picked without replacement from {b: 5, i: 3, o: 4}?
1/22
Calculate prob of picking 1 f and 1 s when two letters picked without replacement from apaaaaseeappf.
1/78
Four letters picked without replacement from {b: 2, c: 4, z: 3, o: 2}. What is prob of picking 1 z, 2 b, and 1 c?
2/55
Three letters picked without replacement from zjajjaajfaazjyjaja. Give prob of picking 1 z, 1 y, and 1 f.
1/408
Two letters picked without replacement from {b: 1, e: 3, r: 7, c: 3}. Give prob of picking 1 r and 1 e.
3/13
Calculate prob of picking 1 y and 2 h when three letters picked without replacement from hhyvyk.
1/10
What is prob of picking 2 f and 2 r when four letters picked without replacement from {r: 3, f: 4}?
18/35
Calculate prob of picking 2 r when two letters picked without replacement from {m: 2, r: 2, b: 1}.
1/10
Two letters picked without replacement from {v: 1, n: 1, u: 2, e: 2}. What is prob of picking 1 v and 1 e?
2/15
Two letters picked without replacement from nngbbbggnngnmbb. Give prob of picking 1 m and 1 n.
1/21
Calculate prob of picking 1 j and 2 q when three letters picked without replacement from {g: 1, j: 8, q: 2, p: 1, a: 4}.
1/70
Calculate prob of picking 2 l and 1 a when three letters picked without replacement from laaablaal.
5/28
Two letters picked without replacement from {i: 2, q: 1, t: 1, h: 1}. What is prob of picking 1 q and 1 i?
1/5
Calculate prob of picking 2 h when two letters picked without replacement from {p: 2, y: 7, g: 1, q: 1, i: 4, h: 3}.
1/51
What is prob of picking 2 i when two letters picked without replacement from zizzzizzzzz?
1/55
Two letters picked without replacement from xvtwqvvqgxq. What is prob of picking 1 x and 1 g?
2/55
Three letters picked without replacement from aanacaaaatgcan. What is prob of picking 2 n and 1 g?
1/364
Two letters picked without replacement from vvnvzzzvzvzzazzv. Give prob of picking 1 v and 1 z.
2/5
Three letters picked without replacement from iikkikikiiiiii. What is prob of picking 3 k?
1/91
Four letters picked without replacement from {v: 2, r: 1, a: 3, b: 5, j: 6}. What is prob of picking 1 a and 3 b?
3/238
Three letters picked without replacement from nozznkppppkknnnonnoz. What is prob of picking 1 k and 2 n?
21/380
Calculate prob of picking 1 t and 2 c when three letters picked without replacement from {c: 2, m: 10, j: 1, v: 4, t: 1}.
1/816
Two letters picked without replacement from varvbryasvvyavravr. Give prob of picking 2 y.
1/153
Calculate prob of picking 2 w when two letters picked without replacement from nwbwnrgwnyy.
3/55
What is prob of picking 1 o and 1 v when two letters picked without replacement from {v: 3, o: 5}?
15/28
Three letters picked without replacement from {d: 5, w: 3, v: 2, l: 2, f: 7, b: 1}. What is prob of picking 3 w?
1/1140
What is prob of picking 1 w, 1 m, 1 r, and 1 e when four letters picked without replacement from {e: 1, w: 1, z: 1, m: 2, x: 2, r: 1}?
1/35
Two letters picked without replacement from tclttfllfela. What is prob of picking 1 t and 1 a?
1/22
Three letters picked without replacement from zwhwhawawazawgzz. Give prob of picking 2 a and 1 g.
3/280
Two letters picked without replacement from pntfffttfnfffffft. Give prob of | {
"pile_set_name": "DM Mathematics"
} |
fy ((sqrt(76) + (sqrt(76) + -1 + sqrt(76))*5 + -3)*-1 - (-3*sqrt(76) + sqrt(76) + 0 - (sqrt(76) + 2 + -5)))**2*-1.
-4889 + 160*sqrt(19)
Simplify ((-5*sqrt(84)*2 - 1*(sqrt(84) + (sqrt(84) - sqrt(84)*2)))*1)/(6*5*sqrt(12) - sqrt(72)/(sqrt(6) + sqrt(36)/sqrt(6))).
-20*sqrt(7)/59
Simplify 3*((sqrt(700) + -3 + sqrt(700) + sqrt(700))**2 - sqrt(2016)/sqrt(8) - (5*-3*(-1*sqrt(175) + sqrt(175)))**2).
-558*sqrt(7) + 18927
Simplify (6*(sqrt(84)*2*4 - sqrt(84)*1*1))/(2*sqrt(132)/(((sqrt(11) - sqrt(99)) + sqrt(11))*1 - sqrt(11) - sqrt(11))).
-63*sqrt(7)
Simplify (-4*sqrt(156)*1*-2*-5)/((2*sqrt(36)*3)/(sqrt(36)/(-2*sqrt(12)))).
10*sqrt(13)/3
Simplify 4*-5*(2 + (((sqrt(1216) - (sqrt(1216) + (-6*-3*sqrt(1216) - sqrt(1216)))) + sqrt(1216) - sqrt(1216)) + 0 + 3)**2)*2.
-14057400 + 32640*sqrt(19)
Simplify 1*(4 + ((sqrt(88)/(sqrt(8)/sqrt(4)))/sqrt(4) + -2*sqrt(11) + -3 + 4)*-3)**2.
6*sqrt(11) + 100
Simplify (-1*(5 + (2 + -3 + sqrt(99) - sqrt(99)) + (sqrt(99) + -1)*-3) + -1)**2.
-144*sqrt(11) + 955
Simplify ((4*(sqrt(420) + sqrt(420) + 1*sqrt(420)))/(sqrt(7) + sqrt(28)*2 + sqrt(28)))/(sqrt(12) + ((sqrt(36)*2)/sqrt(3) - sqrt(12)) - sqrt(108)/(2*sqrt(9))).
8*sqrt(5)/7
Simplify (6*-5*(2*sqrt(77) - sqrt(77)))/((2*sqrt(99))/sqrt(9) - (-1*sqrt(704) - sqrt(11))) + 1.
-30*sqrt(7)/11 + 1
Simplify 6*(sqrt(102)/((sqrt(3) + sqrt(9)/sqrt(3) - sqrt(3))*-5))/(-3*2*sqrt(72) - sqrt(72)).
sqrt(17)/35
Simplify 5 + ((sqrt(832) + (1 + sqrt(832))*-1 + sqrt(832) + sqrt(832))**2 - sqrt(832)) + sqrt(832) + (sqrt(832) - -2*(sqrt(832)*3 + sqrt(832)))**2 + 3 + 0.
-32*sqrt(13) + 70729
Simplify (-5 + 2 + (sqrt(98) + -1)*-1 + sqrt(98)*2*1 + 4 + 5)**2.
98*sqrt(2) + 147
Simplify 1*1*(4 + 6*2*sqrt(325)*3*-6)**2.
-8640*sqrt(13) + 15163216
Simplify -5*((sqrt(448) - (-1 + sqrt(448))) + 3 - (2 + (sqrt(7) - (sqrt(7) + -1)) + 3))**2*3 + -1.
-61
Simplify 3*sqrt(6)/sqrt(3) + (sqrt(2) - 4*(sqrt(18)/sqrt(9) + sqrt(2))) - (-3*(2*sqrt(242))**2 + -1).
-4*sqrt(2) + 2905
Simplify ((-1*sqrt(1944))/(sqrt(32)/(sqrt(8)*1)))/(-3*(2*sqrt(192)*-4 - sqrt(192))).
-sqrt(2)/24
Simplify -1*(sqrt(121)/(1*sqrt(11)) + -5 + 1*sqrt(11) + -4*-1*sqrt(11)*-6)*4*-3.
-264*sqrt(11) - 60
Simplify (sqrt(76)*1 - (sqrt(19) - -6*((sqrt(19) - -2*sqrt(19)) + sqrt(19)))) + 3 - ((-5 + sqrt(1539) + 2)**2 - (5 + 4*sqrt(1539) + sqrt(1539) + sqrt(1539))).
-1540 + 85*sqrt(19)
Simplify (((sqrt(190) - (sqrt(190) + -1*sqrt(190)*4)) + -5*sqrt(190)*-2)/(sqrt(90)/(sqrt(675)/sqrt(3))) + 0)**2.
93100
Simplify ((-3 + (sqrt(192) - (sqrt(192) + 1)) - sqrt(192))*-2*-4)**2 - (sqrt(192)*-2*-5*2)**2*-5.
4096*sqrt(3) + 397312
Simplify (1*(-1*1*sqrt(72) + 0 - (-1 + -2*(-1 + sqrt(72))))*4 + -3)**2.
-336*sqrt(2) + 1201
Simplify ((sqrt(300) + 1)**2 - sqrt(300))*2*6 + (sqrt(288) - ((sqrt(288) - sqrt(288)*-1) + sqrt(288)) - sqrt(288))/(5*sqrt(6)*2).
594*sqrt(3)/5 + 3612
Simplify 1 + -1*(-6*(1*sqrt(70)*1 - sqrt(70)))/(sqrt(50)/(sqrt(20)*-1 - sqrt(20) - sqrt(20))).
1
Simplify ((sqrt(1700) + 6*(sqrt(1700) + 0) - (-4 + sqrt(1700) + 1 + sqrt(1700))) + -2 - -4*(-2*(sqrt(1700) - sqrt(1700)*1) + -2))**2.
-700*sqrt(17) + 42549
Simplify (3*(1*(sqrt(5) + -2) + 3)**2 - ((sqrt(320) + 5 + sqrt(320)*2)**2 + -4))*3 + -4.
-8653 - 702*sqrt(5)
Simplify 3 + -5*3*(-1*3*sqrt(144))/(sqrt(8) + sqrt(72)*-5).
-135*sqrt(2)/14 + 3
Simplify (sqrt(162)/(sqrt(1296)/sqrt(4)) - (sqrt(72)/sqrt(64) + (sqrt(18) + -5*sqrt(162))**2 + sqrt(18) + sqrt(18))) + 5.
-3523 - 25*sqrt(2)/4
Simplify ((sqrt(1300)*-1 + (sqrt(13) + -1)*6 - (2 + -2 + sqrt(52)/sqrt(4)))*-1)**2.
60*sqrt(13) + 361
Simplify (-2*(sqrt(800) + sqrt(800) + ((sqrt(800) - sqrt(800)*2*-3) + sqrt(800) + sqrt(800) - sqrt(800))))/((sqrt(24)*-1 + sqrt(24))/sqrt(6) + sqrt(484)*1).
-200*sqrt(2)/11
Simplify (-1 + sqrt(6336))**2 + sqrt(3564) + -2 - (sqrt(528) - 2*sqrt(528)*6)/(sqrt(12) + (sqrt(108) - (sqrt(108) + sqrt(108)*-1))/sqrt(9)).
-19*sqrt(11) + 6335
Simplify 4 + (((sqrt(704) + 0)*-1 + 5)*3 - (((sqrt(704)*2 - sqrt(704))*-6 - sqrt(704)) + -2 + 1)**2).
-34478 - 136*sqrt(11)
Simplify (-6*5*(sqrt(156) + ((-2*sqrt(156) - sqrt(156))*-2 - sqrt(156))))/(sqrt(12) + (sqrt(48) - sqrt(1728)) - (sqrt(108)*-1 + sqrt(108))).
20*sqrt(13)
Simplify (sqrt(468)/(sqrt(27)/(sqrt(15)/sqrt(5))))/(sqrt(20)/(sqrt(5) - (sqrt(405) - -1*sqrt(405))))*-6.
102*sqrt(13)
Simplify (-6*(-1 + (sqrt(1053) - (sqrt(1053) + -1 - sqrt(1053))) + sqrt(1053) + 4 + sqrt(1053) + -1)*2 + -2)**2.
24624*sqrt(13) + 1366132
Simplify 0 + (-6*5*sqrt(11)*5)**2 + (6*(2*sqrt(66) + sqrt(66)))/(1*(sqrt(6) - sqrt(150))).
-9*sqrt(11)/2 + 247500
Simplify (-5*((sqrt(77)/(sqrt(22)/sqrt(2)) - (-4 + 3*sqrt(7))) + (1 + sqrt(28)/(sqrt(16)/sqrt(4)))*5))**2.
1350*sqrt(7) + 3600
Simplify ((sqrt(54)/(sqrt(2)*-2) - -4*(sqrt(27)*-1 - sqrt(27)))*1)/(-4*(sqrt(405) - sqrt(45))/sqrt(5)*-5).
-17*sqrt(3)/80
Simplify (3 + 0 + -1 + sqrt(1900) + 2 + -5*(0 + sqrt(1900) + -3)*-4)**2.
-23520*sqrt(19) + 841036
Simplify (5*(-1*(sqrt(1584) + sqrt(1584)*1) - sqrt(1584)) + -5)**2 + 3*(sqrt(1584) - ((sqrt(1584)*2 - sqrt(1584)) + 3) - sqrt(1584))*1.
1764*sqrt(11) + 356416
Simplify 4*(-3 + (3 + 0 + sqrt(2592) - (sqrt(2592) + -1 + -4))**2)*-1.
-244
Simplify (1*-2*sqrt(91)*5*-1)/(2*-6*(2*sqrt(175) + sqrt(175))).
-sqrt(13)/18
Simplify (-1 + ((sqrt(847) - (-2 + sqrt(847))) + sqrt(847) + sqrt(1008)/sqrt(9) - ((-3*(0 + sqrt(448)) - sqrt(448)) + (2*sqrt(448)*3 - sqrt(448))))*5)**2.
630*sqrt(7) + 8656
Simplify (2*(sqrt(2880) + 3*(sqrt(2880)*3 + sqrt(2880)) - (-2 + sqrt(2880)*-5)) + 5)**2.
15552*sqrt(5) + 3732561
Simplify ((sqrt(52) + sqrt(104)/sqrt(2))*6)/((sqrt(220)/sqrt(5))/sqrt(11)) + (-1*sqrt(650))/((sqrt(2) - (sqrt(48)/sqrt(2))/sqrt(12)) + sqrt(2)).
7*sqrt(13)
Simplify (-6*(0 + 1*(sqrt(408)/(sqrt(80)/sqrt(10)))/(sqrt(3072) + sqrt(3))))**2.
68/121
Simplify (((sqrt(35) + sqrt(2835)*-1 - sqrt(35)) + -6*sqrt(175)/sqrt(5))/((-1*sqrt(3584))/(sqrt(96)/(sqrt(12)*2))))**2.
1125/256
Simplify 1 + -2 + (4*(sqrt(28)/sqrt(4))**2 + 2 - -1*((sqrt(28)*1)/sqrt(4))**2) + -4.
32
Simplify (sqrt(150)*-1*-2)/((sqrt(162) - 3*sqrt(162) - sqrt(162))*2) + 4.
-5*sqrt(3)/27 + 4
Simplify ((4 + (sqrt(2057) + 1)*-1 + (sqrt(2057) - (sqrt(2057) + sqrt(2057)*1 + -3)) + 0)*-3)**2*4.
-9504*sqrt(17) + 297504
Simplify -4*6*(0 + (-2 + (sqrt(275) - -6*(3 + sqrt(275))))**2).
-329544 - 26880*sqrt(11)
Simplify 2 + (-1*(sqrt(66)*-1 + sqrt(66)))/(sqrt(6) - sqrt(6)*2*1) + (4 + sqrt(99) + 0 - (-3 + -1*sqrt(99))**2)*-4.
60*sqrt(11) + 418
Simplify 4*(sqrt(243) + 3 + sqrt(243)) + 0 - (-6*(sqrt(3) + sqrt(3) + 5) - (sqrt(84)/sqrt(7))**2).
54 + 84*sqrt(3)
Simplify -4*(1 + (sqrt(448)*-1)**2 - (-1 + sqrt(175))*4)*-2 + -3.
-160*sqrt(7) + 3621
Simplify (4 + sqrt(153)*1 + 5 + sqrt(153) + -1 + (sqrt(153)*-2 - sqrt(153)) + sqrt(153) - -3*(sqrt(153) + -2)*4*1)**2.
-1152*sqrt(17) + 22288
Simplify (2*sqrt(320)*1 + (sqrt(320)*2 + sqrt(320) - sqrt(320)) + 5 + sqrt(35)/(sqrt(175)*2) + -2)**2*-5.
-103221/4 - 963*sqrt(5)
Simplify 5 + ((5 + -2*sqrt(162))**2 + sqrt(162) - (4 + (sqrt(162) - (1 + sqrt(162))) - sqrt(162) - sqrt(162))**2) - (-3 + (sqrt(162) + -2)*4*5)**2.
-66628 + 15417*sqrt(2)
Simplify 2 + (3*(-3*sqrt(1377)*-1 + (-1*sqrt(1377) + sqrt(1377) + sqrt(1377))*1)*-6 + 0)**2.
7138370
Simplify (sqrt(726) + (sqrt(726) - 1*1*sqrt(726)) - ((1*sqrt(726) + sqrt(726))*1 + sqrt(726)))/(-5*sqrt(450)*-3).
-22*sqrt(3)/225
Simplify ((sqrt(77)*-2)/sqrt(11) + (sqrt(70)*-2 + sqrt(70) - sqrt(70))/sqrt(10))**2*2 + ((sqrt(1008)*-1)/sqrt(9))**2 + 2.
338
Simplify 1 + 4 + ((sqrt(80)/sqrt(8))/sqrt(2) - (sqrt(405) + (sqrt(405) + -1 - sqrt(405))))**2*-3*-3.
-144*sqrt(5) + 2894
Simplify (-5*((1*sqrt(576)*-3)/(((2*sqrt(128) - sqrt(128))*5 - sqrt(128)) + sqrt(128) - sqrt(128) - sqrt(128)) + -2))**2.
150*sqrt(2) + 425/2
Simplify (-1 + (2*sqrt(2268)*-3 - (-2*sqrt(2268) + 5 - sqrt(2268))) + 5*(0 + sqrt(448) + -1 + sqrt(448)))**2.
-572*sqrt(7) + 4853
Simplify (3*(2*sqrt(1029)*1 - sqrt(1029)))/(4*sqrt(7)*3 - -2*sqrt(343)).
21*sqrt(3)/26
Simplify (sqrt(3993)*6*1)/(3*sqrt(44)/sqrt(4) - (6*sqrt(33)/sqrt(3) + sqrt(11))) + 5.
-33*sqrt(3)/2 + 5
Simplify (sqrt(126)/(-1*sqrt(3)) + (sqrt(2058) - ((sqrt(2058) - 1*sqrt(2058)) + sqrt(2058)) - sqrt(2058)))/(sqrt(24) + sqrt(24)*-1*1 - sqrt(96)*-3).
-2*sqrt(7)/3
Simplify (-2*1*sqrt(56))/(sqrt(16)/(sqrt(2)*3) - sqrt(8)) + (-4*sqrt(84)/sqrt(6))/(sqrt(50)*-6).
47*sqrt(7)/15
Simplify 5*((sqrt(128)/(sqrt | {
"pile_set_name": "DM Mathematics"
} |
)/(-2*sqrt(847)*-1 + sqrt(847) + sqrt(847)))**2.
1620/121
Simplify 6*-1*(((sqrt(448) - 3*sqrt(448)*-4)**2 - sqrt(448))*-2 + -1*6*2*sqrt(567)).
552*sqrt(7) + 908544
Simplify -4*3*sqrt(192)*3 + -5*(-2*(4 + sqrt(108)))**2.
-2480 - 1248*sqrt(3)
Simplify (-4*-1*(sqrt(84) + sqrt(84)*4))/(sqrt(432)*3*-5).
-2*sqrt(7)/9
Simplify 2*(-3 + ((sqrt(18) - (sqrt(1458) + -3)) + sqrt(18) + sqrt(162)*-3)**2)*-3*-4.
-6912*sqrt(2) + 110736
Simplify (5*(sqrt(243) + -2)*-2)**2 - (sqrt(12)/(4*sqrt(4) + sqrt(4)) + sqrt(3) - 2*sqrt(432)).
-17886*sqrt(3)/5 + 24700
Simplify -5 + (sqrt(90)/(sqrt(12)/sqrt(2) + sqrt(6))*5)/((sqrt(12)/(-1*sqrt(4)) + sqrt(3) - sqrt(3)) + sqrt(6)/sqrt(2)*3).
-5 + 5*sqrt(5)/4
Simplify ((-3*(-1*sqrt(135) + sqrt(135))*-5)/(sqrt(20)*4 + -2*sqrt(35)/sqrt(7)))**2 + 0.
0
Simplify ((-2*sqrt(220))/sqrt(10))/(5*(sqrt(2) - (sqrt(8) + sqrt(2))) + sqrt(2)) + (sqrt(44)*2 + 5)**2 + 1 + (sqrt(11) - sqrt(22)/sqrt(2)) + 1.
362*sqrt(11)/9 + 203
Simplify (5*(sqrt(51) + sqrt(612)/(sqrt(12)*-1) - sqrt(3264)*2))/(sqrt(9)/(sqrt(18)/sqrt(6)) - sqrt(192)*-3).
-16*sqrt(17)/5
Simplify 3 + ((sqrt(245) + -4 + 1 + -4 + 4)*-5)**2.
-1050*sqrt(5) + 6353
Simplify ((1*sqrt(153)*2 - 5*(sqrt(153) + (sqrt(153) - ((sqrt(153) - -2*sqrt(153)) + sqrt(153)))))*-1)/(sqrt(27)/sqrt(3)*-2 + sqrt(27)/(sqrt(33)/sqrt(11))).
12*sqrt(17)
Simplify -1*-5*(4 + 1 + sqrt(304) + -3*(sqrt(190)*-2)/sqrt(10))*-4.
-200*sqrt(19) - 100
Simplify -5 + (2*((sqrt(72) - sqrt(72)*3)/sqrt(8))/(sqrt(3) - (sqrt(3) - (4*sqrt(300) + sqrt(300))))*-3*-1)**2.
-3017/625
Simplify (3*(sqrt(162) + 2) + 4*(5 + sqrt(18)))**2 + -4 + -2.
2028*sqrt(2) + 3712
Simplify (2*sqrt(170)*-1*-3*6)/((((sqrt(1800) - sqrt(1800)*2) + sqrt(1800) - sqrt(1800)) + sqrt(50))/(sqrt(30)/sqrt(150))).
-36*sqrt(17)/25
Simplify ((-2*sqrt(66)/(3*sqrt(12)))/((-2*(sqrt(6)*1 + sqrt(6)))/((2*sqrt(363) - sqrt(363)) + sqrt(363) - sqrt(3))))**2.
539/16
Simplify -4 + ((sqrt(18)*-1 + 4)**2 + sqrt(162) + -3 - 2*sqrt(16)/(sqrt(64)/(sqrt(24)/sqrt(3)))).
-17*sqrt(2) + 27
Simplify (-4*(2*sqrt(5929) + sqrt(5929) - 2*sqrt(196))/(sqrt(49)/(sqrt(7) - (sqrt(7) - (sqrt(28) + sqrt(7)))*2 - sqrt(7))))**2.
1507072
Simplify ((-2*(sqrt(684) + -1) + 0 - ((sqrt(684) - -6*2*sqrt(684)) + sqrt(684) - (2 + (sqrt(684) - (sqrt(684) + 1))))) + 2)**2*2.
-1920*sqrt(19) + 350258
Simplify ((2*((sqrt(704) - (sqrt(704) + 2)) + sqrt(704) + sqrt(704))*3)**2 + 3 - (-1 + -3 + sqrt(704) + sqrt(704) + -1 + sqrt(704) + -3 + sqrt(704))**2)*-5.
-450975 + 8960*sqrt(11)
Simplify -6*(sqrt(343) + -1 - sqrt(343)) + (-1 + sqrt(343) + 1)**2 - (3*(sqrt(343) + 1 - sqrt(343))**2 + (sqrt(343)*1)**2*-5 + 2).
2059
Simplify (0 + 4 + ((sqrt(84) - (sqrt(84) + sqrt(84)*-3 - sqrt(84)) - sqrt(84))*-4)/((sqrt(1728) - sqrt(1728)*-3) + sqrt(1728) + sqrt(12) - sqrt(12)) + 1)**2.
-2*sqrt(7) + 632/25
Simplify -5 + ((-1*sqrt(4320) + sqrt(4320) + sqrt(30) - sqrt(30))/(-1*sqrt(128) + sqrt(2)))/((-1*sqrt(60)*-2)/(sqrt(60)/(sqrt(5) - sqrt(80)))).
-5
Simplify ((2*sqrt(95)*-2*3)/(2*sqrt(245) + (sqrt(320)*-1 - sqrt(320))) + -4)**2*-3.
-2100 + 144*sqrt(19)
Simplify -4*(2*((5*sqrt(76)*4 - (-2*(sqrt(76) - -2*sqrt(76)) - sqrt(76))) + -3))**2 + 2.
-886606 + 5184*sqrt(19)
Simplify 0 + 4*sqrt(153) + (1*sqrt(833))**2 - (-5 + (sqrt(68) + -5 + -2*sqrt(68))**2).
-8*sqrt(17) + 745
Simplify (1 + (sqrt(1539) - ((0 + sqrt(1539))*5 - sqrt(1539))) + -4)**2 - (3*(sqrt(1539) + 1 + sqrt(1539)*-1) + 3).
162*sqrt(19) + 13854
Simplify 2*((sqrt(3) + -2)*4 + sqrt(48) + 0 + sqrt(27)/(sqrt(54)/sqrt(6)) + 1)**2*5.
-1260*sqrt(3) + 2920
Simplify (((sqrt(1900) + sqrt(1900) + 3 - sqrt(1900))*-6)**2*-6 + ((-3*sqrt(1900)*5 - sqrt(1900))*-1)**2)*-5.
-370280 + 64800*sqrt(19)
Simplify (sqrt(1100) - (-2 + -3 + sqrt(1100))**2)*-2 - ((sqrt(176) - sqrt(176)*1 - sqrt(176))*-2 + -4)**2.
-156*sqrt(11) + 1530
Simplify (((3*sqrt(32))/sqrt(2))/sqrt(8)*6 - sqrt(1152)*-2*3)**2.
52488
Simplify ((sqrt(250) + (sqrt(250) - (5*sqrt(250) + sqrt(250)))*3)*2)/(-2*sqrt(5)*-6 + 2*sqrt(125) + sqrt(125))*-3.
140*sqrt(2)/9
Simplify -3 + (((-1*sqrt(102) + sqrt(102))*6)/(2*sqrt(6)*-5 - sqrt(6)) - sqrt(136)/(sqrt(8) - sqrt(96)/(sqrt(12) - sqrt(12)*4))*3).
-9*sqrt(17)/4 - 3
Simplify (2 + (((sqrt(176) + (2 + sqrt(176) - sqrt(176)))*-6 - sqrt(176)) + sqrt(176) + 3 + 5)**2)*5 + 4.
960*sqrt(11) + 31774
Simplify -3*(((5 + ((sqrt(80)*1)/sqrt(8))/sqrt(2) + -2)*6)**2 + 5)*5.
-7635 - 3240*sqrt(5)
Simplify 1 + (-1*sqrt(539))**2 - (sqrt(539) - -2*sqrt(539))**2*1 - (sqrt(66) + (sqrt(66)*-2 + sqrt(66))*4)/((sqrt(36)/sqrt(2))/sqrt(3)).
-4311 + 3*sqrt(11)
Simplify (1*5*(3 + sqrt(33)/(sqrt(30)/(sqrt(10) + sqrt(250) + sqrt(10)))*2 + 1)*-3)**2.
25200*sqrt(11) + 488700
Simplify 0 + 0 + (-2*sqrt(10)/(3*sqrt(5)))**2 + ((sqrt(42)/sqrt(3))/sqrt(7) + sqrt(2) + -5 + sqrt(8)/sqrt(4))**2*-4.
-1540/9 + 120*sqrt(2)
Simplify (-4 + -6*(sqrt(27) + sqrt(27) + (sqrt(27) - sqrt(54)/sqrt(2) - sqrt(27))) + 4)**2 + (-2*sqrt(363) + 5 + sqrt(363) - (1 + 0 + sqrt(192))).
-19*sqrt(3) + 976
Simplify (-1*3*sqrt(44)/(sqrt(20)/sqrt(5)) - ((sqrt(121) + 6*(sqrt(121) + sqrt(121)*2 + sqrt(121)))/(sqrt(11) - (sqrt(11) - sqrt(110)/sqrt(160))))**2) + -3.
-110003 - 3*sqrt(11)
Simplify -4*(2 + ((sqrt(847) - (2 + sqrt(847)*-2)) + -1 + sqrt(343) + 0)**2).
-44844 + 960*sqrt(7)
Simplify (((sqrt(28)/(sqrt(2) + sqrt(2)*1)*-5)/((sqrt(77) + -2*sqrt(77) - sqrt(77))/sqrt(11)*-1) + 4)*1)**2*-6.
-459/4 + 60*sqrt(2)
Simplify ((-2*sqrt(78)*-1)/(-2*sqrt(96)) + 1*(2 + sqrt(13)) + sqrt(52)/(sqrt(4)*-3 + sqrt(4)))*3.
3*sqrt(13)/4 + 6
Simplify (-4*(5 + 6*(0 + sqrt(2))) - (-2 + sqrt(126)/sqrt(7) + -1))**2.
918*sqrt(2) + 1747
Simplify (((0 + sqrt(405) + 4)*4 - (-3 + 2*sqrt(405))*-4)**2 + 5)*-2.
-116682 - 1728*sqrt(5)
Simplify -1*((-2 + sqrt(800) + -2 + -5)**2 + -3) + 4.
-874 + 360*sqrt(2)
Simplify sqrt(77)/(sqrt(22)/sqrt(50)) + -2 - (-1 + sqrt(847) + sqrt(42)/sqrt(6)*4).
-10*sqrt(7) - 1
Simplify ((sqrt(70) + -5*(sqrt(70) - (sqrt(70) - sqrt(70)*2 - sqrt(70))))*3*3)/((sqrt(40)*-1)/sqrt(4) + 1*sqrt(40)).
-126*sqrt(7)
Simplify -3 + (sqrt(6292) - (sqrt(6292) + 2))**2 + (-2 + sqrt(208)/sqrt(4) + sqrt(312)/(sqrt(18)/sqrt(3)))**2 + 0.
-16*sqrt(13) + 213
Simplify (sqrt(150)/(sqrt(36)/(sqrt(12)*-1))*-4*5 + -5*(0 + sqrt(5000))*5*4)**2.
48020000
Simplify (5*sqrt(114)*-1*6*-6)/(sqrt(726)*2*-1*-2).
45*sqrt(19)/11
Simplify (6*((2 + sqrt(475))*-6 + sqrt(475)) + 2 - ((0 + sqrt(475))*-2 + -3*(-2 + sqrt(475) - sqrt(475))))**2.
21280*sqrt(19) + 378176
Simplify -2 + 2*(4 + sqrt(612)*-1)*1 + 3.
-12*sqrt(17) + 9
Simplify ((-3*sqrt(66)*-5 - sqrt(66) - (1*sqrt(66)*3 - sqrt(66)))/(-5*(sqrt(294)*1 - sqrt(108)/sqrt(2))))**2.
99/25
Simplify (-3*(5*(sqrt(136) + 3*(sqrt(136)*-2 + sqrt(136)) - sqrt(136))*-6)/((sqrt(16) + sqrt(1024)*-1)/(sqrt(4)/(sqrt(2)*2))))**2.
309825/49
Simplify (sqrt(68)/sqrt(256))**2 - -1*sqrt(1088) - (3*sqrt(2057)*-5 + 4).
-239/64 + 173*sqrt(17)
Simplify 3 + 4 + (((sqrt(272) + -4 + -1 + sqrt(272))*4)**2 - (-5 + sqrt(272) + -1 + sqrt(272) - (-3*sqrt(272)*-1)**2)) + -3.
-1288*sqrt(17) + 20266
Simplify (2*-5*(sqrt(19) + 3)*4 - (5 + sqrt(171)*-4 + 2)**2)*-5.
-640*sqrt(19) + 14525
Simplify (6*sqrt(30)*1 - (sqrt(30) + 1*sqrt(270) + sqrt(270)))/((sqrt(294) + (sqrt(294) - -1*(sqrt(294) + sqrt(294)*1 + sqrt(294))) - sqrt(294))*-6).
sqrt(5)/168
Simplify (((((1*sqrt(2000) + sqrt(2000))*-6 - sqrt(2000)) + sqrt(2000))*2)/(sqrt(10)*-2*3 + (sqrt(10) + sqrt(100)/(sqrt(20)/sqrt(2)) - sqrt(10))))**2.
4608
Simplify 0 + 2*((sqrt(4455)*-4 + sqrt(4455) + sqrt(4455))*-3)/((sqrt(891)*-4 + sqrt(891))*6).
-2*sqrt(5)/3
Simplify -5 + -5*-1*(((sqrt(100)*1 + sqrt(100))*1)/sqrt(2) + sqrt(500)/(sqrt(90)*4)).
-5 + 625*sqrt(2)/12
Simplify ((2*2*sqrt(95) - (sqrt(95)*1 - sqrt(95) - sqrt(95))*-4)/((sqrt(240) - sqrt(15))/(-1*sqrt(48))))**2.
0
Simplify 1 + ((sqrt(1377) + 2)*-3*1)**2 + (-6*(-3*sqrt(1377) + 3))**2.
-5508*sqrt(17) + 458902
Simplify -1*(-2*(-1 + -6*sqrt(1300)*-3)**2*-3 + 4).
-2527210 + 2160*sqrt(13)
Simplify ((sqrt(6) - -1*sqrt(6)*-2)*6)/((sqrt(3) - sqrt(384)/sqrt(8))*6) + 0 + 0.
sqrt(2)/3
Simplify (-4*(sqrt(288) - (sqrt(288) + -1*sqrt(288) + 0)) + 4 + 1 + 4)**2*4.
-3456*sqrt(2) + 18756
Simplify (sqrt(48)/sqrt(2)*5 + sqrt(216)*2)/((5*-1*sqrt(32))/(sqrt(4)*2*2 + sqrt(4))).
-11*sqrt(3)
Simplify (-6*(sqrt(168)/(sqrt(12) + sqrt(300)) - (sqrt(224)*-2 - sqrt(14))))/((sqrt(112) + sqrt(112)*-1)*5 - (-2*sqrt(7)* | {
"pile_set_name": "DM Mathematics"
} |
ulate the remainder when 56 is divided by 3.
2
What is the remainder when 244 is divided by 58?
12
Calculate the remainder when 518 is divided by 5.
3
What is the remainder when 220 is divided by 71?
7
What is the remainder when 260 is divided by 58?
28
What is the remainder when 22 is divided by 5?
2
What is the remainder when 1768 is divided by 51?
34
Calculate the remainder when 66 is divided by 60.
6
What is the remainder when 147 is divided by 23?
9
What is the remainder when 636 is divided by 13?
12
What is the remainder when 2852 is divided by 51?
47
What is the remainder when 487 is divided by 121?
3
Calculate the remainder when 4244 is divided by 118.
114
Calculate the remainder when 549 is divided by 131.
25
Calculate the remainder when 135 is divided by 62.
11
What is the remainder when 403 is divided by 91?
39
What is the remainder when 2589 is divided by 369?
6
Calculate the remainder when 1085 is divided by 23.
4
What is the remainder when 4052 is divided by 52?
48
Calculate the remainder when 558 is divided by 1.
0
What is the remainder when 85 is divided by 22?
19
What is the remainder when 153 is divided by 37?
5
Calculate the remainder when 138 is divided by 48.
42
What is the remainder when 3625 is divided by 39?
37
Calculate the remainder when 751 is divided by 13.
10
Calculate the remainder when 309 is divided by 41.
22
What is the remainder when 7865 is divided by 19?
18
What is the remainder when 2945 is divided by 29?
16
What is the remainder when 179 is divided by 15?
14
Calculate the remainder when 711 is divided by 23.
21
Calculate the remainder when 10244 is divided by 42.
38
Calculate the remainder when 48 is divided by 29.
19
Calculate the remainder when 119 is divided by 57.
5
Calculate the remainder when 824 is divided by 9.
5
What is the remainder when 116 is divided by 40?
36
Calculate the remainder when 112 is divided by 48.
16
What is the remainder when 80 is divided by 41?
39
What is the remainder when 386 is divided by 143?
100
What is the remainder when 92 is divided by 5?
2
What is the remainder when 77 is divided by 4?
1
Calculate the remainder when 1808 is divided by 79.
70
What is the remainder when 447 is divided by 16?
15
Calculate the remainder when 74 is divided by 26.
22
Calculate the remainder when 69006 is divided by 227.
225
Calculate the remainder when 21900 is divided by 181.
180
Calculate the remainder when 207 is divided by 56.
39
Calculate the remainder when 235 is divided by 58.
3
Calculate the remainder when 34 is divided by 7.
6
Calculate the remainder when 266 is divided by 84.
14
What is the remainder when 70 is divided by 34?
2
What is the remainder when 986 is divided by 52?
50
What is the remainder when 3335 is divided by 6?
5
Calculate the remainder when 100 is divided by 7.
2
What is the remainder when 523 is divided by 75?
73
What is the remainder when 936 is divided by 21?
12
Calculate the remainder when 511 is divided by 91.
56
Calculate the remainder when 13963 is divided by 147.
145
Calculate the remainder when 245 is divided by 69.
38
What is the remainder when 2035 is divided by 9?
1
Calculate the remainder when 890 is divided by 230.
200
What is the remainder when 746 is divided by 58?
50
Calculate the remainder when 2498 is divided by 25.
23
Calculate the remainder when 107 is divided by 32.
11
Calculate the remainder when 421 is divided by 132.
25
What is the remainder when 114 is divided by 24?
18
Calculate the remainder when 294 is divided by 288.
6
Calculate the remainder when 758 is divided by 309.
140
What is the remainder when 207 is divided by 77?
53
What is the remainder when 60 is divided by 13?
8
Calculate the remainder when 300 is divided by 109.
82
What is the remainder when 356 is divided by 44?
4
What is the remainder when 6 is divided by 4?
2
What is the remainder when 1477 is divided by 37?
34
What is the remainder when 1036 is divided by 251?
32
What is the remainder when 8265 is divided by 39?
36
Calculate the remainder when 118 is divided by 66.
52
Calculate the remainder when 936 is divided by 310.
6
What is the remainder when 418 is divided by 84?
82
What is the remainder when 1542 is divided by 34?
12
Calculate the remainder when 1829 is divided by 115.
104
Calculate the remainder when 47 is divided by 28.
19
Calculate the remainder when 1173 is divided by 38.
33
Calculate the remainder when 1366 is divided by 72.
70
What is the remainder when 1930 is divided by 121?
115
What is the remainder when 1559 is divided by 13?
12
What is the remainder when 636 is divided by 91?
90
Calculate the remainder when 21 is divided by 5.
1
What is the remainder when 232 is divided by 93?
46
What is the remainder when 65 is divided by 26?
13
Calculate the remainder when 1527 is divided by 85.
82
Calculate the remainder when 135 is divided by 18.
9
What is the remainder when 23373 is divided by 16?
13
What is the remainder when 39 is divided by 26?
13
What is the remainder when 119 is divided by 92?
27
What is the remainder when 1785 is divided by 294?
21
What is the remainder when 7134 is divided by 2372?
18
What is the remainder when 317 is divided by 108?
101
What is the remainder when 1453 is divided by 44?
1
Calculate the remainder when 109 is divided by 28.
25
Calculate the remainder when 472 is divided by 48.
40
Calculate the remainder when 2902 is divided by 481.
16
What is the remainder when 29 is divided by 9?
2
What is the remainder when 1428 is divided by 65?
63
Calculate the remainder when 172 is divided by 94.
78
What is the remainder when 260 is divided by 33?
29
Calculate the remainder when 201 is divided by 17.
14
Calculate the remainder when 76 is divided by 39.
37
Calculate the remainder when 2071 is divided by 104.
95
What is the remainder when 57 is divided by 15?
12
Calculate the remainder when 2364 is divided by 782.
18
Calculate the remainder when 401 is divided by 174.
53
Calculate the remainder when 658 is divided by 16.
2
What is the remainder when 559 is divided by 72?
55
What is the remainder when 22 is divided by 7?
1
What is the remainder when 169 is divided by 46?
31
What is the remainder when 6079 is divided by 64?
63
Calculate the remainder when 85 is divided by 26.
7
What is the remainder when 129 is divided by 36?
21
Calculate the remainder when 191 is divided by 87.
17
Calculate the remainder when 431 is divided by 123.
62
Calculate the remainder when 552 is divided by 139.
135
What is the remainder when 142 is divided by 33?
10
Calculate the remainder when 489 is divided by 14.
13
Calculate the remainder when 45 is divided by 29.
16
Calculate the remainder when 191 is divided by 47.
3
What is the remainder when 1461 is divided by 3?
0
Calculate the remainder when 135 is divided by 17.
16
What is the remainder when 679 is divided by 166?
15
What is the remainder when 157 is divided by 10?
7
Calculate the remainder when 69 is divided by 18.
15
What is the remainder when 115 is divided by 37?
4
What is the remainder when 45 is divided by 8?
5
Calculate the remainder when 33 is divided by 5.
3
What is the remainder when 1602 is divided by 528?
18
What is the remainder when 119 is divided by 57?
5
Calculate the remainder when 2848 is divided by 30.
28
What is the remainder when 81 is divided by 31?
19
What is the remainder when 767 is divided by 182?
39
What is the remainder when 467 is divided by 143?
38
What is the remainder when 183 is divided by 95?
88
Calculate the remainder when 48 is divided by 9.
3
Calculate the remainder when 960 is divided by 41.
17
What is the remainder when 12115 is divided by 60?
55
What is the remainder when 2578 is divided by 216?
202
What is the remainder when 9511 is divided by 432?
7
Calculate the remainder when 344 is divided by 14.
8
What is the remainder when 69 is divided by 10?
9
What is the remainder when 63 is divided by 22?
19
What is the remainder when 907 is divided by 27?
16
What is the remainder when 60 is divided by 25?
10
What is the remainder when 40 is divided by 8?
0
What is the remainder when 423 is divided by 108?
99
What is the remainder when 418 is divided by 103?
6
Calculate the remainder when 50 is divided by 27.
23
What is the remainder when 1162 is divided by 572?
18
W | {
"pile_set_name": "DM Mathematics"
} |
f 253777180 and 10?
10
What is the highest common factor of 847 and 11585497?
77
Calculate the highest common factor of 139 and 217432557.
139
What is the greatest common factor of 70130841 and 69?
69
What is the highest common factor of 14766 and 167660547?
7383
Calculate the greatest common divisor of 74 and 82680422.
74
What is the greatest common factor of 282812332 and 1808?
452
Calculate the highest common divisor of 112816 and 140096.
176
Calculate the greatest common factor of 74290 and 66891590.
4370
What is the greatest common factor of 744 and 103783908?
372
Calculate the highest common divisor of 4693 and 24688638.
247
What is the greatest common divisor of 918 and 2399193?
459
Calculate the highest common divisor of 18480649 and 5291.
407
What is the greatest common divisor of 1305 and 8295740?
145
Calculate the greatest common divisor of 50695 and 255.
5
Calculate the highest common divisor of 5870390 and 575390.
3530
Calculate the greatest common divisor of 6984 and 68904.
72
What is the greatest common divisor of 1298 and 174966?
22
What is the greatest common factor of 285885 and 720?
45
What is the greatest common divisor of 3185 and 7675213?
637
Calculate the greatest common divisor of 4 and 454278588.
4
What is the greatest common divisor of 290833875 and 13770?
2295
What is the greatest common factor of 89850405 and 120?
15
Calculate the highest common factor of 630 and 38895381.
63
Calculate the highest common factor of 18 and 8394579.
9
What is the highest common factor of 13509 and 1954539?
711
What is the highest common divisor of 381632 and 12115744?
2144
What is the greatest common factor of 102 and 74732646?
102
What is the highest common factor of 22689 and 44775?
9
Calculate the greatest common divisor of 24855884 and 6304.
788
Calculate the highest common factor of 14237 and 142462.
23
Calculate the highest common divisor of 62445 and 67505.
115
Calculate the highest common factor of 4268438 and 129.
43
Calculate the greatest common divisor of 4372755 and 475.
95
Calculate the greatest common divisor of 3659432 and 566125.
4529
Calculate the highest common factor of 20 and 9956460.
20
Calculate the highest common divisor of 54 and 4073463.
27
Calculate the highest common divisor of 69641 and 13637461.
487
What is the greatest common factor of 5426348 and 2124?
236
Calculate the highest common divisor of 1302587 and 1287.
143
Calculate the highest common divisor of 96 and 5906568.
24
What is the highest common divisor of 110 and 30361665?
5
Calculate the highest common divisor of 532646 and 95630.
262
Calculate the greatest common divisor of 57 and 3935691.
3
What is the greatest common factor of 7533 and 1855164?
93
Calculate the greatest common divisor of 880175 and 2403450.
2725
What is the greatest common divisor of 33274925 and 725?
25
What is the greatest common divisor of 529576 and 3320?
8
What is the greatest common factor of 124268 and 534108?
188
Calculate the highest common factor of 994 and 603571.
71
Calculate the highest common factor of 20585 and 200.
5
Calculate the highest common divisor of 1173 and 22508.
17
What is the highest common factor of 21207 and 12912?
3
What is the highest common factor of 156 and 39677079?
39
What is the greatest common divisor of 55 and 142296935?
55
What is the highest common divisor of 43809012 and 13?
13
Calculate the greatest common factor of 780 and 281730.
30
What is the greatest common factor of 45158 and 397660?
674
What is the highest common divisor of 34165539 and 747?
747
What is the greatest common factor of 390420 and 55430?
2410
Calculate the highest common divisor of 3468 and 12509943.
867
Calculate the greatest common divisor of 666 and 1644369318.
666
Calculate the greatest common divisor of 794 and 10591166.
794
What is the greatest common factor of 147 and 294666?
3
What is the highest common divisor of 110662333 and 1?
1
What is the greatest common factor of 1547097 and 258?
129
What is the highest common divisor of 5152 and 288883?
7
What is the greatest common divisor of 514842 and 18285?
159
Calculate the greatest common divisor of 179857125 and 270.
135
What is the greatest common factor of 261229428 and 108?
108
Calculate the highest common divisor of 8534440 and 160.
40
What is the greatest common factor of 5663798 and 14?
14
Calculate the greatest common divisor of 28712 and 217240.
8
Calculate the greatest common divisor of 39191712 and 672.
672
Calculate the highest common divisor of 3360 and 844185.
15
What is the highest common divisor of 2596 and 24077428?
236
Calculate the highest common factor of 43534052 and 8.
4
What is the highest common divisor of 11987244 and 867?
51
What is the greatest common divisor of 14801 and 79294?
41
What is the highest common factor of 13177945 and 1310?
655
Calculate the greatest common factor of 33033 and 429195228.
2541
What is the highest common factor of 63 and 4571553?
21
What is the greatest common factor of 592 and 2807560?
296
Calculate the greatest common factor of 128304 and 137016.
792
What is the highest common factor of 1740 and 4011420?
60
Calculate the greatest common factor of 598969 and 7749.
287
Calculate the highest common factor of 84660 and 23572.
332
Calculate the highest common factor of 7764 and 639018608.
2588
Calculate the greatest common divisor of 403430 and 120.
10
Calculate the greatest common divisor of 464 and 135968588.
116
What is the highest common factor of 55494 and 3546?
18
What is the greatest common divisor of 188 and 6528441?
47
What is the highest common divisor of 11190501 and 2268?
189
What is the highest common divisor of 48 and 409236024?
24
What is the highest common divisor of 1107 and 31670491?
41
What is the highest common divisor of 7 and 129872?
1
Calculate the greatest common factor of 33422 and 34816.
34
Calculate the highest common divisor of 5589 and 476523.
243
What is the greatest common divisor of 270 and 6992410?
10
Calculate the highest common factor of 513 and 400011237.
513
Calculate the highest common divisor of 800 and 129720.
40
Calculate the highest common divisor of 837942 and 294.
42
Calculate the greatest common factor of 606963504 and 2672.
2672
Calculate the highest common divisor of 103920 and 6000.
240
Calculate the greatest common divisor of 10722116 and 12188.
1108
Calculate the highest common divisor of 3175660 and 2135.
305
Calculate the greatest common divisor of 885385 and 6555.
115
Calculate the highest common divisor of 1489 and 38127.
1
What is the greatest common factor of 11871 and 23661541?
1319
What is the highest common factor of 17297823 and 51?
51
Calculate the highest common factor of 7572796 and 111188.
308
Calculate the highest common factor of 204 and 292587.
51
What is the highest common factor of 3195 and 2352150?
45
What is the highest common factor of 61294 and 62795?
19
What is the highest common factor of 517440 and 10824?
264
What is the greatest common factor of 358622 and 3014?
22
Calculate the greatest common factor of 3487903 and 118.
59
Calculate the greatest common divisor of 7802891 and 127225.
727
What is the greatest common factor of 26860813 and 133?
133
What is the highest common divisor of 81004 and 187572?
308
Calculate the greatest common factor of 12300 and 66453900.
300
What is the highest common factor of 385231 and 83083?
77
Calculate the greatest common divisor of 1107 and 4175973.
369
Calculate the highest common factor of 148548088 and 332.
332
Calculate the greatest common factor of 11012 and 1089962254.
5506
Calculate the highest common factor of 316920460 and 2890.
170
Calculate the greatest common factor of 4060 and 99380.
20
Calculate the greatest common factor of 3346 and 1116836.
14
Calculate the highest common factor of 602291424 and 2471.
2471
Calculate the highest common factor of 155 and 3543769960.
155
Calculate the greatest common divisor of 18029974 and 1349.
19
Calculate the highest common factor of 5445 and 1291002240.
1815
What is the highest common factor of 10112 and 31902412?
316
What is the greatest common factor of 13086472 and 112?
56
What is the greatest common divisor of 3306943632 and 816?
816
What is the greatest common divisor of 11260425 and 61050?
| {
"pile_set_name": "DM Mathematics"
} |
3, -760 in decreasing order.
108, 3, -2, -760
Put -4, -9, -5, 74 in decreasing order.
74, -4, -5, -9
Put 3, 6, 2, -6, -2, -60 in decreasing order.
6, 3, 2, -2, -6, -60
Put -7, -2, 6.2, 17, 6 in decreasing order.
17, 6.2, 6, -2, -7
Put 1, 6, 0.024, 14, -4, -1 in ascending order.
-4, -1, 0.024, 1, 6, 14
Put -3/8, -81, 1/3 in descending order.
1/3, -3/8, -81
Put -397440, -0.4, 0.2 in ascending order.
-397440, -0.4, 0.2
Sort 16, 3, 0, -6, 5 in increasing order.
-6, 0, 3, 5, 16
Sort -4/3, -25, -6, -0.04, 0 in descending order.
0, -0.04, -4/3, -6, -25
Put 20, 45, 17 in ascending order.
17, 20, 45
Put 1/8, -0.277, 2/3, 4, 1/6, -0.2 in increasing order.
-0.277, -0.2, 1/8, 1/6, 2/3, 4
Put -1, 147, -3, 5, -29 in descending order.
147, 5, -1, -3, -29
Sort -138, 5, 25, -2, -4.
-138, -4, -2, 5, 25
Sort -0.2, -1/2, 2, -3, -1012 in increasing order.
-1012, -3, -1/2, -0.2, 2
Sort 5, -553, -3, -35 in decreasing order.
5, -3, -35, -553
Sort -2, 0, -51, -10, -1.
-51, -10, -2, -1, 0
Put 1, 2, 15, 0, -257 in ascending order.
-257, 0, 1, 2, 15
Sort 6, 4, 1, -1, 0, 12 in decreasing order.
12, 6, 4, 1, 0, -1
Sort 0, 1, -9212 in increasing order.
-9212, 0, 1
Put -1246, 6, -5 in ascending order.
-1246, -5, 6
Sort -5, 6, 1096, 0.
-5, 0, 6, 1096
Sort 4117, -4, 34 in descending order.
4117, 34, -4
Put 3020, -24, -4, 3 in descending order.
3020, 3, -4, -24
Sort 8/43, 10, 1/3, -0.4, 0.4, 5 in increasing order.
-0.4, 8/43, 1/3, 0.4, 5, 10
Put -13, 4, 5, 21, 743 in decreasing order.
743, 21, 5, 4, -13
Put -0.08, -7, -0.5, 4, 3, -7/8 in descending order.
4, 3, -0.08, -0.5, -7/8, -7
Sort -4, 31832, 0 in increasing order.
-4, 0, 31832
Sort -80, -52, 2, -1, 5, -4.
-80, -52, -4, -1, 2, 5
Put 8, 2, 3, -33, -5 in decreasing order.
8, 3, 2, -5, -33
Sort 13, -3, -1, -12, 4, 0.55.
-12, -3, -1, 0.55, 4, 13
Sort -1, 6, 2247, -5, 0 in decreasing order.
2247, 6, 0, -1, -5
Put 2220, 4, -28, 2 in ascending order.
-28, 2, 4, 2220
Sort 4, 17, 33, 5, -5 in descending order.
33, 17, 5, 4, -5
Put -172, -10, -0.2 in increasing order.
-172, -10, -0.2
Put 1.3, -0.0601, -1 in decreasing order.
1.3, -0.0601, -1
Put 0, -6, 2604 in descending order.
2604, 0, -6
Sort -2226, -4, -1, -5.
-2226, -5, -4, -1
Put -5, 0, 1828, 3 in decreasing order.
1828, 3, 0, -5
Sort -341, 0, -1/15, 3 in descending order.
3, 0, -1/15, -341
Sort -1, 4, 2, -1503, 1 in ascending order.
-1503, -1, 1, 2, 4
Put 1, -4, -88, 4, -17 in descending order.
4, 1, -4, -17, -88
Sort -9/10, 4629, 0, 2/5, -2/7 in descending order.
4629, 2/5, 0, -2/7, -9/10
Sort 10, 16, 6, -0.2, -2/7, 0 in descending order.
16, 10, 6, 0, -0.2, -2/7
Sort -506, 0.6, 1 in descending order.
1, 0.6, -506
Put -48871, 1, 5, -3 in ascending order.
-48871, -3, 1, 5
Sort -176, -0.3, 1/13, 78 in ascending order.
-176, -0.3, 1/13, 78
Put 2/11, -15/4, -5, -0.03 in descending order.
2/11, -0.03, -15/4, -5
Sort -0.2, -4/15, 2, 533 in descending order.
533, 2, -0.2, -4/15
Sort 0, -21, -3013 in descending order.
0, -21, -3013
Sort 0, 88930, 4 in descending order.
88930, 4, 0
Put 0.1, 2, -2, -4, -0.18 in decreasing order.
2, 0.1, -0.18, -2, -4
Sort 0, 5, -20, 1, -5, -4.
-20, -5, -4, 0, 1, 5
Sort 0.5, -19, -1, 2/3, 1, -0.039 in descending order.
1, 2/3, 0.5, -0.039, -1, -19
Sort 943, -1, 18, 0 in descending order.
943, 18, 0, -1
Sort -2/7, 4, -7, -128, -100.
-128, -100, -7, -2/7, 4
Put 1/2, -2/9, -1, -128, -0.07 in decreasing order.
1/2, -0.07, -2/9, -1, -128
Put 4, -1, 26545 in ascending order.
-1, 4, 26545
Sort 3, 0, -114, -5 in ascending order.
-114, -5, 0, 3
Put -4, 1455, 3, 5 in descending order.
1455, 5, 3, -4
Sort 1, 384, -4, 5, -5 in descending order.
384, 5, 1, -4, -5
Sort -2, -0.6, 2, 4/3, -1.6 in ascending order.
-2, -1.6, -0.6, 4/3, 2
Put -7/30, 5, 2/7, 1, -36 in decreasing order.
5, 1, 2/7, -7/30, -36
Put -2, -674, 5, 1 in decreasing order.
5, 1, -2, -674
Sort -0.1, -4, -10/3, 5, 830 in descending order.
830, 5, -0.1, -10/3, -4
Sort -65, 456, 0, -3.
-65, -3, 0, 456
Put 4/7, 4, 1/4800 in decreasing order.
4, 4/7, 1/4800
Sort -82, 2, -70 in decreasing order.
2, -70, -82
Put 308, 40, -1/2 in decreasing order.
308, 40, -1/2
Sort 6, 20, -1, -30.
-30, -1, 6, 20
Put 389, -0.3, 6/11, -16 in ascending order.
-16, -0.3, 6/11, 389
Put -2, 1, -1543, -0.3 in descending order.
1, -0.3, -2, -1543
Sort -2, -4, -3662, 1/3 in descending order.
1/3, -2, -4, -3662
Sort -12, 1, -1/5, -1, 0.089 in descending order.
1, 0.089, -1/5, -1, -12
Put 0, -38, 2142 in descending order.
2142, 0, -38
Sort 18, 0, -21, -4, 4, 0.002 in descending order.
18, 4, 0.002, 0, -4, -21
Put 1, -903, 2, 134, 3 in decreasing order.
134, 3, 2, 1, -903
Sort 0.249, -0.4, -2/25, -2, 2/11.
-2, -0.4, -2/25, 2/11, 0.249
Sort -2, -26, -3, -5, -15.
-26, -15, -5, -3, -2
Put -5, -16, 0, 880, 5 in increasing order.
-16, -5, 0, 5, 880
Put -15, 0, -1, -5, 2161 in decreasing order.
2161, 0, -1, -5, -15
Sort 0, -5, 2, -10, 5 in descending order.
5, 2, 0, -5, -10
Sort -111, -371, 3, -5.
-371, -111, -5, 3
Put -0.1, 202, -1, -3 in increasing order.
-3, -1, -0.1, 202
Sort 0.5, -1.2, -1/2, 2, -19/4, 6.3 in decreasing order.
6.3, 2, 0.5, -1/2, -1.2, -19/4
Put -116, 3, 6, -5, -2 in decreasing order.
6, 3, -2, -5, -116
Put -1, 49/218, 1/7 in descending order.
49/218, 1/7, -1
Sort 6, 1, 4, -10, -1 in decreasing order.
6, 4, 1, -1, -10
Put 7, -3006, -5 in descending order.
7, -5, -3006
Sort 5, -1, 0.1, 195.48 in descending order.
195.48, 5, 0.1, -1
Put -0.02, -28, 0.1, 1, 14/27 in descending order.
1, 14/27, 0.1, -0.02, -28
Sort 344/7, 2/135, 0.4, 0.2 in descending order.
344/7, 0.4, 0.2, 2/135
Sort 2, -5, 0, -1, 290.
-5, -1, 0, 2, 290
Put 2, 25, 8, -545 in ascending order.
-545, 2, 8, 25
Put -1/6, -2, -3, 1536, -1 in increasing order.
-3, -2, -1, -1/6, 1536
Put 3/7, 1/10, 1, -147645 in increasing order.
-147645, 1/10, 3/7, 1
Sort -3, 5, -1659, -5, -4 in descending order.
5, -3, -4, -5, -1659
Sort 4, -2, -3, -1, 48300, 2.
-3, -2, -1, 2, 4, 48300
Put 7, -2, 55, 0, 1 in increasing order.
-2, 0, 1, 7, 55
Put -1, -0.33261, 13 in descending order.
13, -0.33261, -1
Sort -1/6, -2, 10, -0.2, 5 in decreasing order.
10, 5, -1/6, -0.2, -2
Sort -49663, -21, 3, -1 in decreasing order.
3, -1, -21, -49663
Put -3, -13930, 5, 1 in ascending order.
-13930, -3, 1, 5
Sort 724, -0.2, -1/8, -3/2, -5 in decreasing order.
724, -1/8, -0.2, -3/2, -5
Put -12/5, -0.1, -20.37 in ascending order.
-20.37, -12/5, -0.1
Sort 3, -5, -2, 28, 13434 in decreasing order.
13434, 28, 3, -2, -5
Put 0.5, 14, 1763 in decreasing order.
1763, 14, 0.5
Sort 0.1, 3, -52/9, -1, 9/5, -2/5 in ascending order.
-52/9, -1, -2/5, 0.1, 9/5, 3
Sort 53, -1, -5, -4, -2, 4 in ascending order.
-5, -4, -2, -1, 4, 53
Sort -56, 0, -7, -4 in increasing order.
-56, -7, -4, 0
Sort 378589/4, 0.2, -1/4 in increasing order.
-1/4, 0.2, 378589/4
Sort -2, 0, -193515 in increasing order.
-193515, -2, 0
Sort 717, 73, -1, -3 in decreasing order.
717, 73, -1, -3
Put 9, 7, -3/4, 2/13, 0.2, -5/4 in descending order.
9, 7, 0.2, 2/13, -3/4, -5/4
Put 4, -2, 359013 in ascending order.
-2, 4, 359013
Sort -3, 4, -15302 in descending order.
4, -3, -15302
Put -1/13, 2/5, 1, -8/11, -71 in ascending order.
-71, -8/11, -1/13, 2/5, 1
Sort 380, -223, -0.4, -1 in decreasing order.
380, -0.4, -1, -223
Put 0.4, 5, -1176.5 in ascending order.
-1176.5, 0.4, 5
Put 37, 1, 14.1, 2 in ascending order.
1, 2, 14.1, 37
Sort -9, 75, -5, 20, 2, -1.
-9, -5, -1, 2, 20, 75
Sort -3, -665, 3 in descending order.
3, -3, -665
Sort 1/3, 30, -0.5, -3, -19, -2/93 in decreasing order.
30, 1/3, -2/93, -0.5, -3, -19
Sort 1/4, -3, -0.6, -2.7, 5 in ascending order.
-3, -2.7, -0.6, 1/4, 5
Sort -3, 2/9, 0.788, -0.4.
-3, -0.4, 2/9, 0.788
Put -2, 10, 4, 71, -35, -1 in decreasing order.
71, 10, 4, -1, -2, -35
Sort 27, 365, -2, 5 in descending order.
365, 27, 5, -2
Sort 4, 2274, -3 in decreasing order.
2274, 4, -3
Sort -19, 749, 3 in descending order.
749, 3, -19
Sort -1, 397, 3, -7 in increasing order.
-7, -1, 3, 397
Sort -0.08, -2, -44 in decreasing order.
-0.08, -2, -44
Put -2/5, 0, 28, -1.8 in decreasing order.
28, 0, -2/5, -1.8
Put -10/9, 0.02, 0.5, 1, 2/19, -4 in increasing order.
-4, -10/9, 0.02, 2/19, 0.5, 1
Sort -6, 5, -19, -13, -4 in descending order.
5, -4, -6, -13, -19
Sort 3, 1/1611, 29, -1 in descending order.
29, 3, 1/1611, -1
Sort 1, -2/9, 0.0 | {
"pile_set_name": "DM Mathematics"
} |
(y) = -4*n(y) - 5*w(y). Let m(t) = 0. Calculate t.
-1, 1
Let q(v) be the second derivative of -3*v**7/56 + v**6/10 + 3*v**5/80 - v**4/8 - 6*v. Factor q(h).
-3*h**2*(h - 1)**2*(3*h + 2)/4
Let y(k) be the second derivative of -k**4/14 - k**3/14 + 3*k**2/14 + 11*k. Determine c, given that y(c) = 0.
-1, 1/2
Let v(m) be the first derivative of 0*m + 6 - 5/3*m**3 - m**2. Factor v(s).
-s*(5*s + 2)
Factor -2 - 818*w**2 + 823*w**2 + 12 - 15*w.
5*(w - 2)*(w - 1)
Let w = -19 - -18. Let g(h) = -2*h**2 + 4*h - 6. Let q(o) = -o**2 + o - 1. Let c(d) = w*g(d) + 4*q(d). Factor c(b).
-2*(b - 1)*(b + 1)
Let y = 223 + -386. Let p = 493/3 + y. Let 0 + 2/3*b**2 + p*b = 0. What is b?
-2, 0
Let z be ((-4)/5)/((-10)/25). Suppose -z*t - 2*s = 7 - 3, 4*t + 4 = -2*s. Factor 1/4*d**2 + t + 1/4*d.
d*(d + 1)/4
What is d in 50*d**3 - d + d**2 - d - 49*d**3 = 0?
-2, 0, 1
Let 28 - 36*d + 150*d**4 - 174*d**2 + 63*d**5 + 4 - 8 - 27*d**3 = 0. Calculate d.
-2, -1, -2/3, 2/7, 1
Let d(l) be the first derivative of l**4/8 - 3*l**2/4 + l + 1. Factor d(r).
(r - 1)**2*(r + 2)/2
Let h(z) = z - 1. Let p(f) be the second derivative of f**6/15 + f**5/10 + f**3/2 - 3*f**2/2 - 2*f. Let a(j) = 3*h(j) - p(j). Determine r so that a(r) = 0.
-1, 0
Suppose -8 = -2*h - 2. Let z(a) be the second derivative of a + 0*a**2 + 0 + 1/9*a**h - 1/18*a**4. Factor z(s).
-2*s*(s - 1)/3
Let n(m) = -6*m**4 + 5*m**3 - 4*m**2 - m + 3. Let j(z) = 25*z**4 - 20*z**3 + 17*z**2 + 4*z - 13. Let k(c) = 6*j(c) + 26*n(c). Factor k(y).
-2*y*(y - 1)**2*(3*y + 1)
Let h(v) be the third derivative of v**6/30 - v**5/15 - 5*v**4/6 - 2*v**3 - 6*v**2. Factor h(o).
4*(o - 3)*(o + 1)**2
Solve 4*g**2 - 6*g**4 - 44*g**4 - 14*g**4 + 64*g**3 - 4*g = 0.
-1/4, 0, 1/4, 1
Let y(p) be the second derivative of 0 + 0*p**3 + 1/40*p**5 + 3*p + 0*p**2 - 1/48*p**4 - 1/120*p**6. Let y(n) = 0. What is n?
0, 1
Let l(c) = -9*c**3 + c**2 - c - 3. Suppose 2*t - 8 = -2. Let m(j) = 3*j**2 - 9*j**3 - 5 - j + j**t - 9*j**3. Let s(r) = -5*l(r) + 3*m(r). Factor s(x).
-2*x*(x - 1)*(3*x + 1)
Suppose -5*j + 0*j = -3*j. Factor 0*z + 1/2*z**3 - 1/2*z**2 + j - 1/2*z**5 + 1/2*z**4.
-z**2*(z - 1)**2*(z + 1)/2
Let j(h) = 5 + 2 + h - h**3 + 3 - 2*h**2 - 3. Let r(s) = -s**3 - s**2 + s + 3. Let l(n) = 4*j(n) - 10*r(n). Suppose l(a) = 0. What is a?
-1, -1/3, 1
Solve -8/5*j**3 + 12/5*j**2 - 8/5*j + 2/5*j**4 + 2/5 = 0.
1
Let h(w) be the first derivative of w**4/14 + 2*w**3/7 + 2*w**2/7 - 16. Let h(x) = 0. What is x?
-2, -1, 0
Let n be 0/4*2/(-4). Let f(x) be the first derivative of 0*x - 2 + n*x**2 + 2/27*x**3 + 2/45*x**5 + 1/9*x**4. Suppose f(k) = 0. What is k?
-1, 0
Let g be (-3)/(-12) + 60/16. Factor -3*d + 8 - 3*d + 2*d**2 - g.
2*(d - 2)*(d - 1)
Let c = -113134/237 - -1432/3. Let h = 87/316 + c. Factor 0 - 1/4*v**2 + 0*v - 1/4*v**3 + h*v**4 + 1/4*v**5.
v**2*(v - 1)*(v + 1)**2/4
Let g(c) be the third derivative of -c**8/1008 + 4*c**7/315 - 5*c**6/72 + 19*c**5/90 - 7*c**4/18 + 4*c**3/9 - 15*c**2. What is j in g(j) = 0?
1, 2
Let g(y) = -y**2 - 4*y - 2. Let q be g(-2). Factor q*m**5 + 1/2*m**3 + 0*m**2 + 5/2*m**4 + 0 + 0*m.
m**3*(m + 1)*(4*m + 1)/2
What is k in -4*k**5 - 8*k - k**2 + 4*k**4 - 103*k**3 + 115*k**3 - 3*k**2 = 0?
-1, 0, 1, 2
Suppose -8*r + 18*r = 0. Factor -4/5*h**2 + 16/5*h**3 + r + 0*h - 12/5*h**4.
-4*h**2*(h - 1)*(3*h - 1)/5
Let v be 6 + (1 - 9) - (-18)/5. Solve v*n - 14/5*n**4 + 8/5 + 52/5*n**3 - 54/5*n**2 = 0 for n.
-2/7, 1, 2
Let l(o) be the second derivative of -3/70*o**7 + 1/100*o**5 - 1/60*o**4 + 0*o**3 + 0 + 3*o + 3/50*o**6 + 0*o**2. Solve l(q) = 0 for q.
-1/3, 0, 1/3, 1
Let c(k) be the third derivative of k**5/15 + k**2. Find p, given that c(p) = 0.
0
Let a(h) = -5*h**2 + 2*h + 6. Let l(u) = 13*u**2 - 7*u - 18. Let p(b) = 8*a(b) + 3*l(b). Factor p(i).
-(i + 2)*(i + 3)
Let t(w) = -3*w + 15. Let f be t(5). Factor f + 2/9*c**2 - 4/9*c**3 + 2/9*c**4 + 0*c.
2*c**2*(c - 1)**2/9
Let o(h) be the third derivative of h**8/1680 - 4*h**7/525 + 2*h**6/75 - 4*h**2. Factor o(x).
x**3*(x - 4)**2/5
Find k, given that 4/3 + 26/3*k**2 + 10*k = 0.
-1, -2/13
Let d(m) be the first derivative of -m**3/15 + m**2/10 + 2*m/5 - 16. Factor d(r).
-(r - 2)*(r + 1)/5
Let y(p) be the second derivative of -1/15*p**4 + 0*p**2 - 3*p + 0 + 1/15*p**3 + 1/50*p**5. Factor y(z).
2*z*(z - 1)**2/5
Suppose -3*l - f = -5, l - 4 = -f - 5. Solve 6/13 - 8/13*i - 4/13*i**2 + 8/13*i**l - 2/13*i**4 = 0.
-1, 1, 3
Let j = 177 - 177. Factor j*p**2 + 2/5*p - 2/5*p**3 + 0.
-2*p*(p - 1)*(p + 1)/5
Let r = 95 + -92. Factor 0*b + 6*b**2 + 0 - 36*b**r + 105/2*b**4.
3*b**2*(5*b - 2)*(7*b - 2)/2
Let q = -16 + 20. Let k(h) be the first derivative of -h**2 - 2/3*h**3 + q*h + 2. Factor k(f).
-2*(f - 1)*(f + 2)
Let a(v) be the first derivative of -16*v**6/15 - 16*v**5/25 + 7*v**4/10 - 2*v**3/15 + 10. Suppose a(f) = 0. Calculate f.
-1, 0, 1/4
Let t be (6/6 - -3) + -2. Factor 4/5*x - 4/5*x**3 + 0*x**t + 2/5*x**4 - 2/5.
2*(x - 1)**3*(x + 1)/5
Suppose -k - 2*m = 7, 3*k + 2*m - 4 = -5. Factor 1/2*p**k - 1/2*p**2 + 0 + 0*p.
p**2*(p - 1)/2
Let i(g) be the first derivative of -g**5/35 - 5*g**4/28 - 2*g**3/7 + 2*g**2/7 + 8*g/7 + 4. Factor i(f).
-(f - 1)*(f + 2)**3/7
Let c be 3/1*(-12)/(-18). Determine s so that 2/7*s - 4/7 + 4/7*s**c - 2/7*s**3 = 0.
-1, 1, 2
Let d(f) be the third derivative of 0*f + 1/60*f**6 + 3*f**2 + 0*f**3 + 0 + 1/30*f**5 - 1/6*f**4. Determine p, given that d(p) = 0.
-2, 0, 1
What is z in 0 + 0*z**2 + 1/3*z**3 + 0*z = 0?
0
Let w(y) = -1 + 0 + 2 + 17*y**2 - y - 9*y**4 - 4*y**3 + y**4. Let j(l) = 4*l**4 + 2*l**3 - 8*l**2. Let p(h) = -5*j(h) - 2*w(h). What is q in p(q) = 0?
-1, 1/2, 1
Find h, given that 1/2*h + 9/4*h**3 + 0 + 7/4*h**2 + 5/4*h**4 + 1/4*h**5 = 0.
-2, -1, 0
Factor -4/3 - 1/3*o**2 + 4/3*o.
-(o - 2)**2/3
Let t(b) be the third derivative of -7*b**8/120 + 2*b**7/15 + b**6/100 - 2*b**5/15 - b**4/15 - 13*b**2. Factor t(j).
-2*j*(j - 1)**2*(7*j + 2)**2/5
Let v(f) be the third derivative of f**6/40 + 2*f**5/105 - f**4/42 - 2*f**2. What is q in v(q) = 0?
-2/3, 0, 2/7
Let q(i) be the third derivative of i**7/735 + i**6/210 - i**4/42 - i**3/21 + 12*i**2. Determine c so that q(c) = 0.
-1, 1
Let m(c) be the second derivative of 3*c - 1/2*c**2 + 0 - 1/12*c**4 - 1/3*c**3. Find r such that m(r) = 0.
-1
Suppose 1/6*k**2 + 0 + 0*k = 0. Calculate k.
0
Find o such that -21/8*o**5 + 27/8*o**3 - 3/4*o + 15/8*o**4 - 15/8*o**2 + 0 = 0.
-1, -2/7, 0, 1
Let h = -6 + 9. Let k**2 - 3*k**h - 3 - k**2 - 3 + 9*k = 0. What is k?
-2, 1
Let x(d) be the first derivative of d**3/24 - d/2 + 19. Factor x(z).
(z - 2)*(z + 2)/8
Let j be (0/(-43))/((-2)/1). Let i(k) be the second derivative of j*k**2 + 0 + 1/50*k**5 + 4*k + 0*k**4 - 1/15*k**3. Factor i(p).
2*p*(p - 1)*(p + 1)/5
Factor 21/4*h + 3/2*h**3 - 3/4*h**5 - 3/2*h**4 + 6*h**2 + 3/2.
-3*(h - 2)*(h + 1)**4/4
Factor -4*x**2 - 13*x**3 + 4*x**3 + 2*x**4 + 7*x**3.
2*x**2*(x - 2)*(x + 1)
Let o(x) = x**3 - 3*x**2 + 3*x + 3. Let t(c) = -3*c**2 + 3*c + 3. Let k(n) = -3*o(n) + 4*t(n). Factor k(i).
-3*(i - 1)*(i + 1)**2
Let d(l) = 2*l**2 + 8*l - 16. Let c(w) = -11*w**2 - 48*w + 96. Let i(s) = 4*s**2 - 2*s + 4. Let f be i(3). Let o(a) = f*d(a) + 6*c(a). Solve o(m) = 0 for m.
4
Let h(z) be the third derivative of z**8/84 - z**6/6 + 2*z**4/3 - z**2. What is l in h(l) = 0?
-2, -1, 0, 1, 2
Let h(j) = -8 - 2*j + j**2 + 9 - 3*j**2 - j**3. Let v be h(-2). Factor -1/2*t**v + 1/2*t**2 + 3/2*t**4 + 0 + 0*t - 3/2*t**3.
-t**2*(t - 1)**3/2
Let d(r) be the first derivative of -r**4/2 + 2*r**3 - 8*r - 4. Suppose d(v) = 0. What is v?
-1, 2
Let h(d) be the third derivative of 2*d**7/735 - d**6/210 - 2*d**5/105 - 7*d**2. Factor h(u).
4*u**2*(u - 2)*(u + 1)/7
Suppose m = 4 + 5. Factor -2 + 8*r**2 + 10*r - 10*r**2 + m*r**3 - 14*r**2 - r**3.
2*(r - 1)*(2*r - 1)**2
Let h(s) be the first derivative of 49*s**4 - 112*s**3/3 + 8*s**2 + 18. Solve h(y) = 0.
0, 2/7
Let y = 287/5 - 57. Let q(w) be the first derivative of -1/2*w**6 - 1/2*w**2 - y*w**5 + 2/3*w**3 + 0*w + w**4 + 3. Let q(j) = 0. Calculate j.
-1, 0, 1/3, 1
Let q = -6 - -15. Let i be ((-15)/q)/(3/(-9)). Factor 2*g**5 - g**i + 2*g**3 - 2*g**5 - g.
-g*(g - 1)**2*(g + 1)**2
Let x be -3*(-51)/(-36) - (-7 + 2). Suppose 0 + 0*d - 1/4*d**5 + 3/4*d**4 - x*d**3 + 1/4*d**2 = 0. Calculate d.
0, 1
Let f be 2/6 + 10/6. Suppose -2*k = 5*w, -f*w + 0*k + 3*k = 0. Factor | {
"pile_set_name": "DM Mathematics"
} |
nd derivative of 3*q**p + 3*q**2 - 2*q**2 + q - 6*q**2 wrt q.
-4
What is the second derivative of -12*r**3 + 6*r**3 - 6*r**3 - 4*r wrt r?
-72*r
Let p(z) be the second derivative of 0 + 4*z + 3/2*z**2 + 0*z**3 + 1/4*z**4. Find the first derivative of p(w) wrt w.
6*w
Let x(p) be the third derivative of -6*p**7/35 + 13*p**5/60 - 21*p**2. What is the third derivative of x(r) wrt r?
-864*r
Let k = -26 + 36. Suppose 3*w + 4*h + k = 2*w, -2*h = -5*w + 16. Find the second derivative of 0*f - 5*f**2 + 2*f + 2*f**w wrt f.
-6
Let z(m) be the second derivative of -m**6/180 - m**4/4 - m**3 - m. Let d(c) be the second derivative of z(c). Differentiate d(a) wrt a.
-4*a
Let x(u) = 7*u**5 - 5*u**4 + 5*u**2 - 15*u. Let w(z) = -3*z**5 + 3*z**4 - 3*z**2 + 8*z. Let o(v) = 5*w(v) + 3*x(v). What is the second derivative of o(q) wrt q?
120*q**3
Suppose -2*m + 47 + 2 = 3*s, -2*m + 50 = 2*s. Let r be 4/m + (-120)/(-65). Find the second derivative of 3*y**2 - 2*y - 4*y**r - y**2 wrt y.
-4
Let n(r) = -r**6 + r**3 + 1. Let w(y) = 5*y**6 + 3*y**3 + y**2 + 3. Let c(h) = 3*n(h) - w(h). Find the third derivative of c(z) wrt z.
-960*z**3
Let z(a) = a**3 + 2*a**2 - a - 1. Let n be z(-2). Let v be 15/(-10) + (-14)/(-4). What is the derivative of -q + n + 2 - v wrt q?
-1
Find the third derivative of 4*q - 22*q**3 + 4*q - 10*q**2 - 10*q + 86*q**3 wrt q.
384
Let v(n) = -n - 1. Let x be 3 - (3 + 9 + -3). Let b be v(x). What is the first derivative of -6*g**3 - b + 9*g**3 + 1 wrt g?
9*g**2
Find the third derivative of 5*j**2 + 4*j**2 + 0*j**5 - 23*j**6 + 0*j**5 wrt j.
-2760*j**3
Let d(k) = 2*k**3 - 2*k**2 + 5. Let i(n) = -n**2 + 1. Let p(w) = -d(w) + 2*i(w). What is the derivative of p(q) wrt q?
-6*q**2
Let i(s) = s**2 - 5. Let p(y) = -2*y**2 + 14. Let b be (4/3)/((-6)/(-18)). Let h(g) = b*p(g) + 11*i(g). What is the derivative of h(f) wrt f?
6*f
Suppose -4*y + 22 = f, 7*y - 15 = 2*y. What is the first derivative of -6*d**3 + 11 - f + 2*d**3 wrt d?
-12*d**2
Differentiate 26 + p + 8*p - 23 with respect to p.
9
Differentiate -49*l**3 + 9*l**3 - 7*l**3 + 38 - 17*l**3 wrt l.
-192*l**2
Let z(t) be the first derivative of 1/5*t**5 + 0*t**2 + 0*t - 2 + 0*t**4 + t**3. Find the third derivative of z(w) wrt w.
24*w
Let m(s) = -s - 9. Let y be m(-15). What is the derivative of -y*l**3 + 3 - 3 + 5 wrt l?
-18*l**2
Let w(k) be the second derivative of -k**6/90 - k**4/12 + k**3/6 - 4*k. Let n(l) be the second derivative of w(l). What is the first derivative of n(t) wrt t?
-8*t
Let u(i) = -i**2 + 6*i - 5. Let h be u(4). Let v(q) be the first derivative of 3 + 0*q - 1/2*q**4 + 1/3*q**h + 0*q**2. Find the third derivative of v(r) wrt r.
-12
What is the third derivative of -74*k - k**2 + 34*k**3 - 22*k**2 + 72*k wrt k?
204
Let y(j) = -33*j**4 - 3*j**3 - 28*j + 3. Let x(t) = -34*t**4 - 4*t**3 - 29*t + 4. Let r(p) = -3*x(p) + 4*y(p). Find the second derivative of r(f) wrt f.
-360*f**2
Let l be 4/96*-94 + 4. Let t(j) be the second derivative of 1/30*j**6 + 0*j**3 + 0 + 0*j**5 + 2*j + l*j**4 + 0*j**2. Find the third derivative of t(i) wrt i.
24*i
Let g(d) be the third derivative of -d**10/37800 + d**6/360 - d**5/20 + 4*d**2. Let j(b) be the third derivative of g(b). Differentiate j(k) with respect to k.
-16*k**3
Let h(t) be the first derivative of 8*t**5/5 + 5*t**3/3 + 4. What is the third derivative of h(x) wrt x?
192*x
What is the second derivative of 4*p**4 - 14*p**5 - 5*p - 4*p**4 + 7*p**5 wrt p?
-140*p**3
Let u(y) = -y**2 - 1. Let c(x) = 19*x**5 - 2*x**2 - 3. Let z(f) = c(f) - 3*u(f). Find the third derivative of z(h) wrt h.
1140*h**2
Suppose 2*n - 5*n = -9. What is the second derivative of -5*a + 53*a**3 - 53*a**n + 11*a**4 wrt a?
132*a**2
What is the third derivative of -7*g**2 + g**2 - 4*g**6 + 6*g**6 + 6*g**6 wrt g?
960*g**3
Let w(k) be the third derivative of 1/120*k**6 + 0*k**3 + 0 - 1/12*k**4 - k**2 + 0*k + 0*k**5. Find the second derivative of w(z) wrt z.
6*z
Let w(q) = q**3 - 4*q**2 + 2. Let z be w(4). What is the second derivative of -5*s - z*s**2 + 4*s + s**2 + 3*s wrt s?
-2
Let i(u) be the second derivative of -u**5/20 + 5*u**3/2 + 39*u**2/2 + 40*u. Differentiate i(g) with respect to g.
-3*g**2 + 15
Let r(i) be the first derivative of -3*i**7/280 - 5*i**4/24 - 3*i**3 - 3. Let s(c) be the third derivative of r(c). Differentiate s(t) wrt t.
-27*t**2
Let f(z) = 9*z**3 + 35*z**2 + 11*z. Let m(q) = -2*q**3 - 7*q**2 - 2*q. Let w(j) = -2*f(j) - 11*m(j). Find the third derivative of w(a) wrt a.
24
Let k(m) be the first derivative of 3*m**4 + 9*m**2/2 - 14. What is the second derivative of k(a) wrt a?
72*a
Let n(g) = -g**2 - 7*g + 11. Let p be n(-8). Let u be p + 1/(0 + -1). Find the third derivative of 0*i**2 + 0*i**4 - 3*i**u + 2*i**4 wrt i.
48*i
What is the third derivative of -271*l**3 + 112*l**3 + 140*l**3 + 32*l**2 wrt l?
-114
Find the third derivative of 5*m**2 - 2*m**5 + 2*m**2 - 13*m**2 wrt m.
-120*m**2
Let g(o) be the first derivative of o**3/3 - o**2 + 2. Find the second derivative of g(c) wrt c.
2
What is the second derivative of 11*t**5 - 26*t + 77*t - 24*t - 8*t wrt t?
220*t**3
Suppose 0 = 2*h - h - 2. Differentiate -2*s - 3 + 3*s**h + 3*s - s with respect to s.
6*s
Let m = -12 - -16. Find the third derivative of -y**3 - m*y**2 + 52 - 52 - y**3 wrt y.
-12
Let w be (10/4)/((-1)/(-2)). Suppose 0 = w*f - 13 + 3. What is the derivative of -f*i**2 - 1 - 2*i**2 + 5*i**2 wrt i?
2*i
Differentiate -3*t**2 - 15*t + 0*t - 47 - 3*t + 4*t**2 wrt t.
2*t - 18
Find the third derivative of -3*l**2 + 7*l**2 - 2*l**4 + 2*l**4 + 4*l**6 wrt l.
480*l**3
Let j(n) be the first derivative of n**4/4 - 17*n**2/2 - 1. What is the second derivative of j(k) wrt k?
6*k
Find the third derivative of -9*p**2 + p**4 + 21*p**4 + 18*p**2 + 21*p**2 wrt p.
528*p
Suppose -4*t = -c + 6, 10 + 1 = 4*c - 3*t. Differentiate 8*y**3 - y**3 - c*y**3 + 3 - 2*y**3 with respect to y.
9*y**2
What is the first derivative of 57*w**2 + 3 - 2*w**4 - 57*w**2 wrt w?
-8*w**3
Let o(i) be the third derivative of 25*i**8/168 + 5*i**4/24 + i**3/6 + 2*i**2 - 3*i. What is the second derivative of o(v) wrt v?
1000*v**3
Find the first derivative of 22 - 5*o - 15 + 3 wrt o.
-5
Let b(l) = 2*l**2 + 2 - 6 + 3*l + 3. Let t(f) = 1. Let c(o) = -o + 2. Let r(z) = c(z) - 2*t(z). Let x(g) = b(g) + 3*r(g). What is the derivative of x(d) wrt d?
4*d
Let x(i) be the second derivative of 13*i**7/42 + 2*i**3/3 + 10*i. Find the second derivative of x(q) wrt q.
260*q**3
Let j be (-1 - 0) + 15 + -11. Find the third derivative of j*o**3 - 3*o**2 - o**2 + 2*o**2 wrt o.
18
Let n(d) be the first derivative of -11*d**6/6 + 4*d**3 - 4. What is the third derivative of n(x) wrt x?
-660*x**2
Let v(k) = 3*k - 7. Let h be v(3). What is the third derivative of -2*c**2 - c**h + 5*c**2 - 10*c**5 + 9*c**5 wrt c?
-60*c**2
Let k(x) be the second derivative of 0 - 2*x + 0*x**2 + 0*x**4 - 1/3*x**3 - 1/14*x**7 + 0*x**5 + 0*x**6. Find the second derivative of k(g) wrt g.
-60*g**3
Let y(r) = -3*r**4 - 5*r + 9. Let m(p) = -5*p + 2*p + 1 + 2*p. Let h(f) = -5*m(f) + y(f). Differentiate h(q) wrt q.
-12*q**3
Let y(w) be the second derivative of 0 - 1/2*w**2 + 0*w**3 + 0*w**4 + 2*w + 1/15*w**6 + 0*w**5. What is the derivative of y(j) wrt j?
8*j**3
Let f be (6*(-2)/4)/(-1). Suppose 1 + f = r. Differentiate -2*y + r - 4 + 5 - 4 with respect to y.
-2
Let a(i) = 27*i**4 + 15*i**2 + 36*i. Let x(d) = -4*d**4 - 2*d**2 - 5*d. Let o(f) = 4*a(f) + 30*x(f). What is the second derivative of o(z) wrt z?
-144*z**2
Let g(q) be the first derivative of 8*q**2 - 34*q - 6. What is the derivative of g(h) wrt h?
16
Suppose 2*j + 1 - 5 = 0. Let t(f) be the first derivative of -1/3*f**3 + f**2 + 0*f - j. Find the second derivative of t(l) wrt l.
-2
Let x(r) be the second derivative of -2*r**6/5 + 3*r**5/20 - r**3/6 - 17*r**2/2 + 46*r. What is the second derivative of x(g) wrt g?
-144*g**2 + 18*g
Differentiate 25*w**2 + 64 + 17*w**2 + 31*w**2 wrt w.
146*w
Find the third derivative of -8*i**4 - 8*i**2 + 0*i + 0*i - 7*i**2 wrt i.
-192*i
Let x(d) = -d - 2. Let u be x(7). Let w(c) = -c**3 - 9*c**2 + c + 11. Let a be w(u). What is the first derivative of -8*z**2 - 3*z**3 + 8*z**2 - a wrt z?
-9*z**2
Let c = -8 + 12. Let m be c/6*(-1 - -7). Find the second derivative of -3*k + 2*k**2 + m*k + 0*k wrt k.
4
What is the third | {
"pile_set_name": "DM Mathematics"
} |
*w**2 + w. Let y be m(1). Calculate the highest common divisor of y and 451.
11
Let u = 5025 + 7595. What is the highest common factor of u and 20?
20
Suppose 0 = g - 3*g + 56. Let h = 55 + 149. Suppose -205 = -f + 3*c + 3, f - 2*c = h. Calculate the greatest common factor of f and g.
28
Let s = -1 - -14. Suppose s*h + 25*h = 988. Calculate the greatest common factor of h and 130.
26
Suppose 104*g + 460 = 219*g. What is the highest common factor of g and 256?
4
Let f = 46 + -16. Suppose f*b = 28*b + 12. Calculate the greatest common divisor of 294 and b.
6
Let v be (9/4)/(-3)*-784. Suppose 0 = 3*w + 3*w - v. Suppose 12 = -3*d - 2*f + 67, 5*d = 3*f + w. Calculate the greatest common factor of d and 19.
19
Suppose 2*j - 3*j = -4*n - 380, -5*n + 1457 = 4*j. Let l be 52*(-3)/(-12) + 3. Calculate the highest common divisor of l and j.
16
Let w(f) = f**2 + 17*f + 19. Let v be w(-13). Let u = v - -97. Let x be -2*1/(-5)*240. Calculate the greatest common divisor of u and x.
32
Suppose -124*u + 27736 = -13184. Calculate the highest common factor of 390 and u.
30
Let l be 1 + 2 + -3 + 95. Let r be (88/6)/(8/60). Suppose 5*p = -3*d + r, 4*p - 5*d = 37 + 14. What is the highest common divisor of p and l?
19
Let t = 227 - 222. Suppose 422 = -t*z + 7*z - s, -4*z + 856 = -5*s. Calculate the highest common divisor of 38 and z.
19
Let n = 452 + -453. Let v be (-14)/10 - n - 23392/(-430). What is the highest common factor of v and 513?
27
Suppose o + 4*s = -28, 0 = -85*s + 88*s + 12. Let f(b) = 3*b - b + 22 + 7. Let j be f(o). What is the greatest common divisor of j and 5?
5
Let m(z) = 3*z + 25. Let a be m(0). Suppose t = -3*i + a, 5*t + 2 - 1 = -i. What is the highest common divisor of i and 3?
3
Let y(p) = -2*p**2 + 44*p - 14. Let c be y(12). Calculate the highest common divisor of 1582 and c.
226
Let t = -5007 - -5063. What is the greatest common divisor of t and 3032?
8
Let s(i) = 6*i + 53. Let h be s(-8). Suppose h*p = 0, r = -2*p + 3*p + 4. Calculate the greatest common factor of 38 and r.
2
Let m(n) = 8*n**2 + 393*n - 35. Let t be m(-50). Calculate the highest common divisor of t and 49.
7
Suppose -89*l = -2*l - 21924. Calculate the greatest common divisor of 1701 and l.
63
Let i = -221 - -342. What is the highest common divisor of i and 341?
11
Suppose 0 = 27*n + 78*n - 11340. What is the greatest common factor of n and 720?
36
Suppose -4*d + 2*m - 1846 = -4, -2*d = 3*m + 925. Let p = d - -505. Calculate the highest common divisor of 341 and p.
11
Let f = 97354 - 52044. Calculate the greatest common divisor of f and 46.
46
Let o be -1*119*(-6)/(-6)*-1. Let z = 176 - o. What is the highest common divisor of z and 6?
3
Let p(u) = u**2 - 2*u - 3. Let s be p(3). Suppose -8*z + 13356 = 4*z. Suppose 15*h - z - 42 = s. What is the highest common divisor of h and 11?
11
Suppose 287 = p + j, -p + 5*j + 333 - 52 = 0. What is the highest common factor of p and 390?
26
Suppose b = 8 + 1. Let h be (-42)/(-4)*b*(-4)/7. Let w = -42 - h. What is the greatest common divisor of w and 36?
12
Let g(p) = p**3 - 7*p**2 - 5*p + 11. Let r be g(8). Let t be (-105)/(-75) + (-215)/(-25). What is the greatest common divisor of r and t?
5
Let l be 324 + -1 + 0 + 7. Suppose -b - 5*b = -l. What is the greatest common factor of b and 44?
11
Let w(r) = 5*r + 47. Let i be w(8). Let c = 114 - i. Suppose 2*d = p - 17, -3*p + 76 = -0*d - d. What is the greatest common factor of p and c?
27
Let n(q) = 13*q**3 + 16*q**2 - 72*q + 220. Let z be n(7). Calculate the highest common divisor of 76 and z.
19
Suppose 430*b = 444*b - 1065 - 993. What is the greatest common factor of b and 3?
3
Let c(z) = 93*z - 161. Let t be c(2). What is the highest common factor of t and 4825?
25
Let j(w) = -w**3 - 2*w**2 - w - 16. Let f be j(0). Let z = -29 - f. Let p = z + 31. Calculate the greatest common divisor of 2 and p.
2
Suppose 0 = c + 3*c - 288. Suppose 27*s - 1808 = -s - 184. Let k = c - s. What is the highest common divisor of k and 112?
14
Let x be (270/65 + 2/(-13))*-44. Let g be (-1)/((-6)/(-8))*5544/x. What is the greatest common factor of 42 and g?
42
Suppose 3274*d - 3245*d = 6670. What is the highest common divisor of d and 2576?
46
Let h be 6*(-1 + 5 + 143/(-33)). Let c be -552*(3/2 + h). What is the greatest common divisor of 6 and c?
6
Let r(x) = x**2 + 13*x + 6. Let p(d) = -d - 34. Let q be p(-19). Let l be r(q). Calculate the greatest common divisor of l and 27.
9
Let m = 114 - -163. Suppose -271*z + m*z - 126 = 0. What is the highest common divisor of 3 and z?
3
Let w be -413*(-2 + (-24)/(-28)). Calculate the greatest common divisor of w and 4012.
236
Let n = 121 + -73. Suppose 17*i = 15*i + 70. Suppose 12*w + i - 419 = 0. Calculate the highest common factor of n and w.
16
Let o(v) = -v**3 + 2*v**2 - 5*v + 12. Let x = -19 - 60. Let j = -77 - x. Let a be o(j). What is the greatest common factor of 7 and a?
1
Let m = -26433 + 26453. What is the highest common factor of m and 178?
2
Suppose -303*v - 72*v + 20818 + 3182 = 0. Calculate the greatest common divisor of 2 and v.
2
Let f(n) = -14*n. Let g be f(-4). Let o(z) = -z**3 - 27*z**2 - 13*z + 101. Let q be o(-26). Let p = q + 245. What is the greatest common divisor of g and p?
8
Let f be (2906/(-11))/(-1) - (-118)/(-649). Suppose f - 57 = 3*g. What is the greatest common divisor of 1173 and g?
69
Suppose -2*w = -q - 33, 2*q + 84 = 5*w - 2*q. Let b(z) = -z**2 + z**2 + 18*z + 347 - z**2 - 357. Let h be b(w). What is the greatest common divisor of h and 11?
11
Suppose 0 = 147*a + 1101 - 21681. Calculate the highest common divisor of 805 and a.
35
Let q be 89 + ((-28)/(2128/(-95)))/(2/(-8)). Let a = 86 + 10. What is the greatest common factor of q and a?
12
Let y be -6*(2 + 6 - (-83)/(-6)). Calculate the highest common factor of 581 and y.
7
Let y = 2033 - 898. Let l = -830 + y. What is the greatest common divisor of 244 and l?
61
Suppose 51*w = 53*w - 260. Suppose 410 = 10*h + w. Calculate the highest common divisor of h and 182.
14
Let p(j) = -j**3 - 8*j**2 + 6*j - 22. Let y be p(-9). Suppose y*c - 131 = -91. Suppose -2*x = -15 - 25. Calculate the highest common factor of x and c.
4
Let j(d) = 2*d + 14. Let x be j(-5). Suppose -5*k = -2*h + 35, 0 = -2*k - 0*k - 6. Let r = -4 + h. What is the greatest common factor of x and r?
2
Suppose -2*f - 4*v = -8, -3*v + 10 = 3*f + 2*v. Suppose l = 3*b - 103 + 22, f = -l. Let t = 165 + -147. What is the highest common factor of t and b?
9
Suppose 5*m - 205 - 155 = 0. Suppose r + f = 203 + 109, 5*f - 30 = 0. Calculate the greatest common factor of m and r.
18
Let b = 4333 - -68. What is the highest common factor of 54 and b?
27
Let c(x) = 2*x**3 - 29*x**2 + 83*x - 679. Let f be c(22). Calculate the highest common divisor of f and 7.
7
Let s be (-18)/(144/16)*3/(-3)*44. Calculate the greatest common factor of s and 649.
11
Let q(u) = -2*u**2 - u. Let b be q(1). Let z be ((-8)/b)/(1/3). Let f = -127 + 128. What is the greatest common factor of z and f?
1
Let c(h) be the third derivative of h**4/12 - h**3/2 - 5*h**2 - 2. Let j = -18 + 27. Let u be c(j). Calculate the greatest common factor of 30 and u.
15
Suppose 8 + 562 = 3*j. Suppose 0 = -5*c - j + 1345. Let r = c + -126. Calculate the highest common factor of 15 and r.
15
Let v(m) = 15*m + 131. Let i be v(-7). Suppose -i*f + 1750 + 434 = 0. Calculate the greatest common divisor of f and 56.
28
Suppose -6*o + 2*o = -180. Let m be ((-280)/(-196))/(8/28*(-2)/(-2)). Calculate the highest common factor of o and m.
5
Let v = -42 + 45. Let m(d) = -v*d**3 + 2 - 2 - 4*d + 3 + d. Let z be m(-2). What is the highest common factor of 55 and z?
11
Let k(t) = -t - 20. Let o(v) = -v**2 - 24*v - 121. Let y be o(-19). Let h be k(y). Calculate the highest common factor of h and 750.
6
Let g = 2008 - 1180. Calculate the greatest common divisor of g and 72.
36
Suppose -2*g - 3*z = 86, -3*g + 5*z = -7*g - 170. Let n(a) = -a**3 - 41*a**2 - 43*a - 72. Let w be n(g). Calculate the highest common factor of w and 42.
6
Let q be 8 + -5 - 2/(-2). Suppose 0 = 5*x + 3*t - 534, -4*x + 7*t + 434 = 6*t. Calculate the greatest common divisor of q and x.
4
Suppose 312 = 13*b - 17*b. Let x = b - -210. Calculate the greatest common factor of 176 and x.
44
Let l be (-12)/(-66)*11 + (-7) | {
"pile_set_name": "DM Mathematics"
} |
comes next: -55721, -57452, -59183?
-60914
What is the next term in -1102, -4051, -9004, -15973, -24970, -36007, -49096?
-64249
What is the next term in 104609, 206689, 308771, 410855, 512941?
615029
What is next in -31099, -66551, -102003?
-137455
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-23073
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546736
What is next in 553349, 1106221, 1659091, 2211959, 2764825?
3317689
What is the next term in -97138, -192510, -287882, -383254, -478626?
-573998
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-18089994
What is the next term in 135245, 263545, 391833, 520103, 648349?
776565
What is the next term in 1067483549, 1067483547, 1067483545, 1067483543?
1067483541
What is next in -8459, -16351, -23671, -30413, -36571?
-42139
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89871509
What comes next: -1348, -1637, -1920, -2197, -2468?
-2733
What is the next term in 16210, 32749, 49272, 65779, 82270, 98745, 115204?
131647
What comes next: 28959, 57866, 86755, 115632, 144503, 173374, 202251, 231140?
260047
What is the next term in 27180, 108554, 244126, 433890, 677840?
975970
What is next in 55586, 56628, 57674, 58724, 59778, 60836, 61898?
62964
What comes next: -25998, -104141, -234426, -416853, -651422?
-938133
What is the next term in -43706, -350191, -1182076, -2802059, -5472838, -9457111, -15017576?
-22416931
What is the next term in 124062, 124691, 125320?
125949
What is next in 56690, 453437, 1530320, 3627407, 7084766, 12242465?
19440572
What comes next: 11759, 46731, 104939, 186371, 291015, 418859, 569891?
744099
What is the next term in -16631, -16303, -15975, -15647?
-15319
What is the next term in -6350227, -6350223, -6350215, -6350203?
-6350187
What comes next: -3895954, -3895953, -3895952?
-3895951
What comes next: -201968, -404480, -606990, -809498, -1012004, -1214508?
-1417010
What is the next term in -27549880, -55099764, -82649648?
-110199532
What is next in 705603, 1411231, 2116863, 2822499, 3528139, 4233783?
4939431
What is the next term in -155284, -310357, -465430, -620503?
-775576
What is the next term in -192874204, -385748412, -578622622, -771496834?
-964371048
What is the next term in 492318, 492390, 492474, 492576, 492702, 492858, 493050, 493284?
493566
What is next in -15500, -31137, -46906, -62807, -78840, -95005?
-111302
What is next in -4876, -9907, -14970, -20059, -25168, -30291, -35422?
-40555
What is the next term in 55716, 221061, 496646, 882477, 1378560, 1984901, 2701506, 3528381?
4465532
What is next in 70635938, 70635939, 70635940, 70635941, 70635942, 70635943?
70635944
What comes next: -167760, -168334, -169290, -170628?
-172348
What is the next term in 4273, 2615, -1887, -10655, -25111, -46677?
-76775
What is next in 111749, 224757, 337765?
450773
What comes next: -2484, -6729, -13886, -23955?
-36936
What is next in -732631, -732635, -732639?
-732643
What is next in -63236, -125966, -188696?
-251426
What comes next: 135384350, 135384342, 135384324, 135384290, 135384234, 135384150?
135384032
What is the next term in 3087, 6051, 9031, 12027, 15039?
18067
What is the next term in 6995, 41563, 135389, 318101, 619327?
1068695
What is the next term in 38189, 45622, 53055, 60488, 67921, 75354?
82787
What is next in -526848, -526736, -526550, -526290, -525956, -525548?
-525066
What is next in -9838, -78541, -265006, -628111, -1226734?
-2119753
What comes next: 100959, 808416, 2728655, 6468066, 12633039, 21829964, 34665231?
51745230
What is next in 5175645, 10351281, 15526919, 20702559, 25878201, 31053845?
36229491
What is next in -2471, -9127, -20221, -35753?
-55723
What is next in -1588, -704, 1698, 6374, 14080, 25572, 41606, 62938?
90324
What is the next term in -71379590, -71379582, -71379574, -71379566, -71379558?
-71379550
What comes next: 136871, 137065, 137259?
137453
What is the next term in 16769432, 33538873, 50308314, 67077755, 83847196, 100616637?
117386078
What is the next term in 10465701, 10465703, 10465705, 10465707?
10465709
What is next in -2444374, -9777500, -21999380, -39110014, -61109402?
-87997544
What is next in -1145, -1300, -1643, -2264, -3253, -4700, -6695, -9328?
-12689
What is the next term in -68341, -274211, -617337, -1097725, -1715381, -2470311, -3362521, -4392017?
-5558805
What is the next term in 631, 898, 725, 112?
-941
What comes next: -7255, -7170, -7065, -6934, -6771?
-6570
What comes next: -82666, -162851, -243036, -323221, -403406?
-483591
What comes next: -688057, -5504697, -18578423, -44037775, -86011293, -148627517, -236014987?
-352302243
What comes next: 25024, 26104, 27910, 30448, 33724, 37744, 42514, 48040?
54328
What comes next: 360160, 1440703, 3241604, 5762863, 9004480, 12966455, 17648788?
23051479
What comes next: 66649, 67287, 67915, 68527, 69117?
69679
What comes next: 81462, 330270, 744950, 1325502, 2071926?
2984222
What is next in -519, -1043, -1489, -1851, -2123, -2299, -2373?
-2339
What is next in -1392, -9299, -30770, -72591, -141548, -244427, -388014, -579095?
-824456
What is the next term in 2308, 9308, 20882, 37030, 57752?
83048
What is next in 15940, 63844, 143714, 255550, 399352, 575120?
782854
What is the next term in 540, 2396, 5680, 10548, 17156?
25660
What is next in -166658, -666535, -1499664, -2666045?
-4165678
What is next in -7104087, -14208166, -21312245, -28416324?
-35520403
What is the next term in -6258, -12312, -18340, -24330, -30270, -36148, -41952?
-47670
What comes next: 1422, 2933, 4206, 5121, 5558, 5397?
4518
What comes next: -2957203, -2957144, -2957085, -2957026, -2956967, -2956908?
-2956849
What is the next term in 56047, 55833, 55457, 54913, 54195?
53297
What is the next term in -7905, -6899, -5889, -4875?
-3857
What comes next: 805183, 805184, 805185?
805186
What is the next term in 1026060, 2052121, 3078182, 4104243, 5130304?
6156365
What is the next term in 19677, 18868, 18059?
17250
What is next in 347816, 695653, 1043490, 1391327, 1739164, 2087001?
2434838
What is the next term in 14681, 29862, 45043?
60224
What is next in 1573, 2587, 3009, 2803, 1933, 363, -1943?
-5021
What is the next term in -202, -546, -890, -1228, -1554, -1862, -2146?
-2400
What is the next term in 2221, 3049, 4425, 6349, 8821?
11841
What is the next term in -4355224, -8710455, -13065686, -17420917?
-21776148
What is the next term in 49846, 50038, 50230?
50422
What is the next term in 2174515, 4349036, 6523557, 8698078?
10872599
What is next in -33742, -25521, -17300, -9079?
-858
What comes next: 31, -158, -1155, -3386, -7277, -13254?
-21743
What is next in 30862287, 61724578, 92586869?
123449160
What comes next: -4434, -18678, -42838, -76920, -120930?
-174874
What is next in -24666, -95993, -214872, -381303, -595286?
-856821
What comes next: -210598, -210627, -210694, -210811, -210990, -211243, -211582, -212019?
-212566
What comes next: -2086406, -2086342, -2086278, -2086214, -2086150, -2086086?
-2086022
What is the next term in -5017, -3782, -2547, -1312, -77?
1158
What is next in -15200321, -15200319, -15200317, -15200315?
-15200313
What is next in -480094, -1920407, -4320928, -7681657?
-12002594
What is the next term in -944071, -944072, -944073, -944074?
-944075
What is next in 235206, 470374, 705502, 940590, 1175638?
1410646
What is next in -763, -4701, -11595, -21445, -34251, -50013, -68731?
-90405
What comes next: 766323, 765971, 765619, 765267, 764915?
764563
What is the next term in -1605138, -1605160, -1605186, -1605216, -1605250?
-1605288
What comes next: 234473, 469062, 703657, 938258, 1172865, 1407478?
1642097
What is next in -2860844, -2860840, -2860834, -2860826, -2860816?
-2860804
What is the next term in 8082543, 8082537, 8082529, 8082519, 8082507, 8082493, 8082477?
8082459
What is next in -13812298, -27624593, -41436882, -55249165, -69061442, -82873713, -96685978?
-110498237
What is the next term in 3068, 4182, 6058, 8714, 12168?
16438
What is the next term in -3016, -5574, -8126, -10672, -13212, -15746, -18274?
-20796
What comes next: -7113, -28614, -64441, -114588, -179049?
-257818
What is next in -38820, -46968, -60548, -79560?
-104004
What comes next: 86656, 172675, 258694, 344713, 430732?
516751
What is the next term in -4893, - | {
"pile_set_name": "DM Mathematics"
} |
culate the common denominator of -59/219880 and 93/29164.
69701960
Calculate the common denominator of -83/3427652 and -83/1648744.
130250776
What is the least common multiple of 18 and 180220566?
540661698
What is the least common multiple of 18244422 and 23751?
237177486
What is the lowest common multiple of 18576816 and 12?
18576816
Calculate the common denominator of -67/1632 and -23/107840.
5499840
Find the common denominator of -83/210 and -57/3218036.
337893780
What is the smallest common multiple of 8869320 and 93?
274948920
Find the common denominator of 29/18787584 and -149/293556.
18787584
Calculate the lowest common multiple of 4945 and 7951560.
7951560
Calculate the least common multiple of 66 and 687478.
2062434
What is the common denominator of 67/1260036 and 16/1431?
66781908
What is the least common multiple of 810955 and 161380045?
161380045
What is the least common multiple of 974 and 841218?
409673166
What is the lowest common multiple of 450 and 31309659?
1565482950
Calculate the common denominator of -95/2568 and -143/2730384.
292151088
What is the common denominator of -23/11963644 and 149/84833112?
933164232
Find the common denominator of 31/16354 and -147/3761420.
3761420
Find the common denominator of -19/470646257 and 95/8.
3765170056
Calculate the least common multiple of 92744 and 13308764.
26617528
Calculate the smallest common multiple of 115761 and 192114.
9029358
Calculate the least common multiple of 14874 and 11745502.
35236506
What is the lowest common multiple of 90240 and 98640?
37088640
Calculate the common denominator of -64/12633 and -163/114504.
482176344
Calculate the smallest common multiple of 19092148 and 6.
57276444
What is the smallest common multiple of 1010669 and 28758127?
316339397
What is the common denominator of 76/65445 and 28/2475?
10798425
What is the least common multiple of 28945 and 62025?
434175
Calculate the smallest common multiple of 292702 and 46100565.
92201130
What is the lowest common multiple of 31785 and 2457?
2002455
Calculate the smallest common multiple of 32667792 and 74584.
32667792
Calculate the lowest common multiple of 27 and 857613.
7718517
Calculate the lowest common multiple of 2082 and 215688.
74843736
What is the common denominator of -35/48 and 35/3540052?
42480624
Calculate the smallest common multiple of 3798 and 19075.
72446850
What is the lowest common multiple of 501 and 2366223?
2366223
What is the common denominator of 82/18931263 and 37/104?
151450104
Find the common denominator of 79/1242666 and 97/912.
188885232
What is the least common multiple of 285 and 959709?
4798545
Calculate the smallest common multiple of 28877376 and 6336.
86632128
Calculate the lowest common multiple of 414660 and 54569256.
272846280
Calculate the least common multiple of 40260 and 7381.
442860
What is the common denominator of 179/303120 and -85/4668048?
23340240
Calculate the smallest common multiple of 2409336 and 3747856.
33730704
What is the common denominator of -31/145197130 and -41/180?
2613548340
What is the smallest common multiple of 6200 and 1826400?
56618400
Calculate the common denominator of -17/38600324 and 73/6118.
887807452
Calculate the least common multiple of 23088 and 198.
761904
Calculate the least common multiple of 6442596 and 6.
6442596
Calculate the lowest common multiple of 5309160 and 76104.
111492360
What is the smallest common multiple of 6012 and 54276?
27192276
Calculate the lowest common multiple of 112 and 274067.
30695504
What is the least common multiple of 124611 and 82417?
140685819
Calculate the common denominator of 131/48414740 and -41/57217420.
629391620
Find the common denominator of 3/28610953 and 59/31562.
57221906
What is the least common multiple of 3882645 and 1287?
42709095
Calculate the common denominator of -187/713160 and 59/48384.
68463360
Calculate the common denominator of 151/414178344 and 47/18949336.
2899248408
Find the common denominator of -67/15390 and 67/38475.
76950
Calculate the common denominator of 139/24943740 and 79/39909984.
199549920
Find the common denominator of -113/1155 and 7/6129750.
42908250
What is the least common multiple of 5664598 and 18?
50981382
What is the common denominator of 43/652842 and -71/1728?
62672832
Calculate the common denominator of -97/432 and 167/188640.
565920
Calculate the lowest common multiple of 5764507 and 77.
63409577
Calculate the common denominator of -113/190 and -41/37262952.
186314760
Calculate the smallest common multiple of 242 and 138555428.
1524109708
What is the common denominator of 107/4226970 and 97/59177580?
59177580
Calculate the common denominator of 49/373404 and -67/2146.
373404
What is the smallest common multiple of 988 and 983866?
37386908
What is the least common multiple of 27434142 and 18?
27434142
Find the common denominator of 101/18668 and 85/1982864.
711848176
Calculate the common denominator of 17/277604 and 99/20.
1388020
Calculate the lowest common multiple of 4160 and 1782508.
142600640
Find the common denominator of -71/16240900 and -67/260.
16240900
Calculate the common denominator of -53/53713672 and 103/1952.
214854688
What is the least common multiple of 231242256 and 40?
1156211280
Calculate the lowest common multiple of 1314 and 5623044.
16869132
Calculate the common denominator of -25/377936 and -43/240.
5669040
What is the common denominator of -107/17995992 and -97/20566848?
143967936
Calculate the common denominator of 1/5138883 and 35/3235593.
87361011
What is the lowest common multiple of 378198909 and 66?
756397818
What is the common denominator of 43/214130 and 31/139104?
92504160
Find the common denominator of 83/9588075 and -9/108664850.
325994550
Calculate the smallest common multiple of 33500040 and 1520.
67000080
Calculate the common denominator of -131/7336878 and 7/1784646.
66031902
Calculate the lowest common multiple of 1680 and 46524.
6513360
What is the least common multiple of 2466 and 81840?
33636240
Calculate the lowest common multiple of 91516 and 892281.
3569124
Calculate the lowest common multiple of 30736 and 60146.
54371984
What is the common denominator of -71/666 and -97/201060?
7439220
Calculate the lowest common multiple of 5677 and 1175950.
8231650
Calculate the common denominator of 52/225 and 83/68556.
5141700
What is the least common multiple of 12 and 8627232?
8627232
Calculate the lowest common multiple of 15548 and 3569280.
82093440
Calculate the common denominator of 21/137107267 and 57/87250079.
959750869
Calculate the common denominator of -80/3297 and 121/24002160.
24002160
Calculate the common denominator of -37/84558 and 193/31590.
445197870
What is the least common multiple of 51423 and 101509002?
101509002
What is the smallest common multiple of 1083684 and 2096073?
159301548
What is the common denominator of -87/8800 and 11/30874?
135845600
Find the common denominator of 89/15 and -43/27988965.
27988965
Calculate the lowest common multiple of 5471060 and 64011402.
640114020
Find the common denominator of -61/145318992 and 25/4389.
1598508912
Find the common denominator of -13/155837 and 71/17732.
8103524
Calculate the least common multiple of 1118057 and 15.
16770855
Calculate the smallest common multiple of 1262010 and 2019216.
10096080
Calculate the smallest common multiple of 217974935 and 68.
871899740
What is the common denominator of 17/196063092 and 115/3888?
784252368
Calculate the common denominator of -23/884480 and 143/3840.
2653440
What is the common denominator of -41/352 and 149/1291200?
14203200
What is the smallest common multiple of 798965 and 3195860?
3195860
What is the common denominator of -92/103273875 and 13/90?
206547750
Calculate the common denominator of -41/15568700 and 73/29010.
46706100
Calculate the common denominator of 51/83692 and 47/562520.
34313720
What is the least common multiple of 2159938 and 24741108?
272152188
Calculate the least common multiple of 99448 and 232580.
14419960
Calculate the common denominator of 82/15 and -49/27477210.
27477210
What is the least common multiple of 15168 and 4495416?
35963328
Calculate the common denominator of 67/422680 and 11/10000.
105670000
What is the lowest common multiple of 59988 and 582?
5818836
Calc | {
"pile_set_name": "DM Mathematics"
} |
is prob of sequence ifb?
1/330
What is prob of sequence rrb when three letters picked without replacement from oorrcoobo?
1/252
Three letters picked without replacement from {u: 3, e: 1, d: 1, k: 3, h: 6}. Give prob of sequence kdh.
3/364
What is prob of sequence dssd when four letters picked without replacement from {s: 16, d: 2}?
1/153
Two letters picked without replacement from aiquukp. Give prob of sequence ak.
1/42
What is prob of sequence oeo when three letters picked without replacement from ooooooeoooooo?
1/13
Four letters picked without replacement from {r: 1, x: 4, m: 6}. Give prob of sequence xrxx.
1/330
Calculate prob of sequence jy when two letters picked without replacement from {c: 1, y: 1, j: 2}.
1/6
Four letters picked without replacement from {l: 2, k: 7, q: 8, a: 2}. What is prob of sequence alkl?
7/23256
What is prob of sequence cbct when four letters picked without replacement from {c: 4, t: 4, b: 12}?
8/1615
What is prob of sequence uww when three letters picked without replacement from fufffwuumf?
0
Calculate prob of sequence aaw when three letters picked without replacement from lakaakalwllw.
1/55
Three letters picked without replacement from {z: 1, s: 3, l: 1, t: 4, b: 8}. Give prob of sequence bzt.
2/255
Two letters picked without replacement from vudvdvdududdvvvwud. What is prob of sequence wu?
2/153
Two letters picked without replacement from ykyyyyykyykyyyyyyy. What is prob of sequence yk?
5/34
What is prob of sequence xy when two letters picked without replacement from {f: 1, e: 1, y: 1, v: 1, r: 2, x: 1}?
1/42
What is prob of sequence bb when two letters picked without replacement from bdbrbdb?
2/7
Three letters picked without replacement from {b: 3, o: 1, v: 4, l: 2, w: 3, f: 2}. Give prob of sequence vbo.
2/455
Calculate prob of sequence nnnn when four letters picked without replacement from {n: 15, g: 5}.
91/323
Four letters picked without replacement from eqqrlr. What is prob of sequence qqrl?
1/90
Four letters picked without replacement from zbbzbbbzzb. Give prob of sequence bzzb.
1/14
What is prob of sequence xxu when three letters picked without replacement from ffuxffxufuuuxfuufu?
1/102
Three letters picked without replacement from {i: 17, b: 2}. What is prob of sequence iib?
16/171
Three letters picked without replacement from {b: 1, m: 1, y: 1, w: 1, d: 1}. Give prob of sequence bwy.
1/60
Four letters picked without replacement from {t: 1, m: 1, k: 6, c: 1, o: 1, d: 1}. Give prob of sequence okmc.
1/1320
Calculate prob of sequence gg when two letters picked without replacement from {g: 3, l: 12}.
1/35
Three letters picked without replacement from syxjdhj. What is prob of sequence jhs?
1/105
Four letters picked without replacement from isisisssciciiisiists. What is prob of sequence icic?
2/1615
Three letters picked without replacement from {y: 4, a: 1, p: 2, x: 3}. What is prob of sequence xpx?
1/60
Two letters picked without replacement from {d: 3, r: 1, l: 4, v: 1, m: 2, u: 4}. What is prob of sequence ur?
2/105
Calculate prob of sequence gjs when three letters picked without replacement from sqsgjqqqsasaqgqaq.
1/510
What is prob of sequence rva when three letters picked without replacement from {r: 1, v: 6, a: 8, w: 1}?
1/70
Two letters picked without replacement from ggggqqggggqqqg. Give prob of sequence qg.
45/182
What is prob of sequence xxm when three letters picked without replacement from {x: 2, h: 3, w: 1, c: 1, m: 3, n: 5}?
1/455
Two letters picked without replacement from wbwwwwbwwbww. What is prob of sequence wb?
9/44
Calculate prob of sequence ilki when four letters picked without replacement from ttlietqiqkikk.
3/2860
What is prob of sequence ll when two letters picked without replacement from {o: 1, a: 5, w: 1, k: 1, l: 4, t: 1}?
1/13
What is prob of sequence zzhh when four letters picked without replacement from {z: 11, h: 3}?
5/182
Four letters picked without replacement from {t: 5, q: 5, h: 4, l: 1, e: 3}. What is prob of sequence etet?
1/612
What is prob of sequence dd when two letters picked without replacement from {j: 7, d: 4}?
6/55
Four letters picked without replacement from {k: 8, u: 5}. Give prob of sequence ukku.
28/429
Four letters picked without replacement from djevdqevfvd. What is prob of sequence qedj?
1/1320
Two letters picked without replacement from {k: 3, p: 1, h: 1, z: 5, r: 3}. What is prob of sequence pz?
5/156
Calculate prob of sequence sas when three letters picked without replacement from asalqaqnaaqqsalanl.
7/2448
What is prob of sequence pf when two letters picked without replacement from {l: 2, p: 1, y: 2, f: 1, o: 1, s: 1}?
1/56
What is prob of sequence oy when two letters picked without replacement from {o: 2, z: 3, g: 2, n: 1, w: 3, y: 3}?
3/91
Four letters picked without replacement from {z: 4, p: 3}. Give prob of sequence pzzp.
3/35
What is prob of sequence lpl when three letters picked without replacement from {l: 2, p: 7}?
1/36
What is prob of sequence nnu when three letters picked without replacement from nnununu?
6/35
Calculate prob of sequence rd when two letters picked without replacement from {d: 7, r: 4, t: 3}.
2/13
What is prob of sequence waa when three letters picked without replacement from {w: 12, a: 5, l: 2}?
40/969
Two letters picked without replacement from {a: 2, p: 11}. What is prob of sequence pp?
55/78
Two letters picked without replacement from qabxxqqxtxx. Give prob of sequence xt.
1/22
What is prob of sequence wwll when four letters picked without replacement from {l: 13, w: 3}?
3/140
Two letters picked without replacement from keekkkkkekeeee. Give prob of sequence ee.
3/13
What is prob of sequence ttt when three letters picked without replacement from {u: 4, t: 9, i: 3}?
3/20
Two letters picked without replacement from qqxqxxfqddx. Give prob of sequence dq.
4/55
What is prob of sequence yym when three letters picked without replacement from {m: 4, g: 3, e: 7, t: 1, y: 2}?
1/510
Calculate prob of sequence vamq when four letters picked without replacement from {a: 3, v: 3, q: 6, i: 2, m: 1}.
3/1820
Calculate prob of sequence ns when two letters picked without replacement from {s: 2, n: 6}.
3/14
Four letters picked without replacement from ododsojjodd. What is prob of sequence oddo?
1/55
Calculate prob of sequence xxnn when four letters picked without replacement from {n: 5, x: 2, b: 7}.
5/3003
Two letters picked without replacement from {p: 3, o: 4, k: 1, d: 10}. What is prob of sequence dp?
5/51
What is prob of sequence tu when two letters picked without replacement from tuttjunt?
1/7
Two letters picked without replacement from {x: 1, j: 3, q: 4}. Give prob of sequence qj.
3/14
Three letters picked without replacement from {d: 3, f: 1, u: 1}. What is prob of sequence ddf?
1/10
Two letters picked without replacement from {g: 2, a: 8}. What is prob of sequence aa?
28/45
Four letters picked without replacement from {d: 2, h: 2, w: 3, f: 6, m: 1}. What is prob of sequence fwwd?
3/1001
Two letters picked without replacement from cykqellccklcqlk. Give prob of sequence lc.
8/105
Three letters picked without replacement from {q: 13, d: 3, v: 3, a: 1}. What is prob of sequence qda?
13/2280
Calculate prob of sequence zlal when four letters picked without replacement from lallblzo.
1/140
Calculate prob of sequence dd when two letters picked without replacement from ddddhhdd.
15/28
Calculate prob of sequence xxfx when four letters picked without replacement from {x: 7, f: 7}.
35/572
Calculate prob of sequence rrru when four letters picked without replacement from {r: 13, u: 3}.
33/280
Calculate prob of sequence vb when two letters picked without replacement from {v: 1, f: 3, b: 1, l: 4, x: 2}.
1/110
Three letters picked without replacement from {n: 1, e: 1, v: 7, h: 6}. What is prob of sequence nvh?
1/65
Four letters picked without replacement from {e: 5, k: 1, i: 7, w: 2, n: 2, o: 3}. Give prob of sequence oeoi.
7/3876
Four letters picked without replacement from hhhhhohphphohhp. Give prob of sequence phoh.
3/182
Four letters picked without replacement from wwwwwww. Give prob of sequence wwww.
1
Two letters picked without replacement from uzzbzubzbubzzu. Give prob of sequence bb.
6/91
What is prob of sequence mi when two letters picked | {
"pile_set_name": "DM Mathematics"
} |
at is the square root of 192654 to the nearest integer?
439
What is the eighth root of 746255 to the nearest integer?
5
What is 2090217 to the power of 1/7, to the nearest integer?
8
What is the square root of 335654 to the nearest integer?
579
What is the square root of 282332 to the nearest integer?
531
What is the square root of 2240466 to the nearest integer?
1497
What is the square root of 300880 to the nearest integer?
549
What is the ninth root of 6887835 to the nearest integer?
6
What is the fourth root of 284222 to the nearest integer?
23
What is the square root of 2583672 to the nearest integer?
1607
What is the third root of 366139 to the nearest integer?
72
What is 2348838 to the power of 1/10, to the nearest integer?
4
What is the cube root of 354784 to the nearest integer?
71
What is 758525 to the power of 1/7, to the nearest integer?
7
What is the seventh root of 412586 to the nearest integer?
6
What is the third root of 1361120 to the nearest integer?
111
What is the square root of 1483561 to the nearest integer?
1218
What is 1272644 to the power of 1/3, to the nearest integer?
108
What is the square root of 226081 to the nearest integer?
475
What is 994471 to the power of 1/2, to the nearest integer?
997
What is the seventh root of 4349105 to the nearest integer?
9
What is 151330 to the power of 1/2, to the nearest integer?
389
What is the square root of 9730668 to the nearest integer?
3119
What is 233918 to the power of 1/8, to the nearest integer?
5
What is 251183 to the power of 1/2, to the nearest integer?
501
What is the fifth root of 27827783 to the nearest integer?
31
What is 189365 to the power of 1/3, to the nearest integer?
57
What is 676257 to the power of 1/2, to the nearest integer?
822
What is 3056501 to the power of 1/5, to the nearest integer?
20
What is 324258 to the power of 1/7, to the nearest integer?
6
What is 157252 to the power of 1/3, to the nearest integer?
54
What is the fifth root of 31857 to the nearest integer?
8
What is the third root of 9613987 to the nearest integer?
213
What is the square root of 127237 to the nearest integer?
357
What is the square root of 698364 to the nearest integer?
836
What is the third root of 640324 to the nearest integer?
86
What is 828556 to the power of 1/3, to the nearest integer?
94
What is the square root of 617033 to the nearest integer?
786
What is 30813454 to the power of 1/6, to the nearest integer?
18
What is the seventh root of 16840806 to the nearest integer?
11
What is 674835 to the power of 1/3, to the nearest integer?
88
What is 1496650 to the power of 1/2, to the nearest integer?
1223
What is the third root of 44922 to the nearest integer?
36
What is 6502588 to the power of 1/2, to the nearest integer?
2550
What is the fifth root of 8068864 to the nearest integer?
24
What is the ninth root of 230195 to the nearest integer?
4
What is 395380 to the power of 1/8, to the nearest integer?
5
What is 616607 to the power of 1/2, to the nearest integer?
785
What is the square root of 457932 to the nearest integer?
677
What is 26601483 to the power of 1/2, to the nearest integer?
5158
What is the square root of 735620 to the nearest integer?
858
What is 278212 to the power of 1/8, to the nearest integer?
5
What is the square root of 379293 to the nearest integer?
616
What is the ninth root of 313014 to the nearest integer?
4
What is the square root of 1860926 to the nearest integer?
1364
What is the fourth root of 5747283 to the nearest integer?
49
What is 683949 to the power of 1/5, to the nearest integer?
15
What is the square root of 1208271 to the nearest integer?
1099
What is the third root of 249039 to the nearest integer?
63
What is the third root of 2401117 to the nearest integer?
134
What is the square root of 4206268 to the nearest integer?
2051
What is 2309542 to the power of 1/3, to the nearest integer?
132
What is the seventh root of 213491 to the nearest integer?
6
What is 441373 to the power of 1/3, to the nearest integer?
76
What is the square root of 81352 to the nearest integer?
285
What is 51063 to the power of 1/10, to the nearest integer?
3
What is 3114747 to the power of 1/2, to the nearest integer?
1765
What is 127956 to the power of 1/3, to the nearest integer?
50
What is the square root of 1956039 to the nearest integer?
1399
What is the square root of 1314435 to the nearest integer?
1146
What is the square root of 26959697 to the nearest integer?
5192
What is 4300327 to the power of 1/3, to the nearest integer?
163
What is the third root of 2945040 to the nearest integer?
143
What is the square root of 758915 to the nearest integer?
871
What is the third root of 4764879 to the nearest integer?
168
What is 4043374 to the power of 1/2, to the nearest integer?
2011
What is 753422 to the power of 1/10, to the nearest integer?
4
What is the square root of 5964637 to the nearest integer?
2442
What is the cube root of 21623217 to the nearest integer?
279
What is 1287311 to the power of 1/5, to the nearest integer?
17
What is the tenth root of 1628871 to the nearest integer?
4
What is the ninth root of 352642 to the nearest integer?
4
What is 227668 to the power of 1/2, to the nearest integer?
477
What is the third root of 429141 to the nearest integer?
75
What is 54104 to the power of 1/9, to the nearest integer?
3
What is 113711 to the power of 1/10, to the nearest integer?
3
What is the third root of 3422419 to the nearest integer?
151
What is 221891 to the power of 1/6, to the nearest integer?
8
What is 8753639 to the power of 1/2, to the nearest integer?
2959
What is 165997 to the power of 1/3, to the nearest integer?
55
What is 6191209 to the power of 1/3, to the nearest integer?
184
What is the third root of 199039 to the nearest integer?
58
What is the cube root of 224570 to the nearest integer?
61
What is the square root of 36924 to the nearest integer?
192
What is the third root of 2408506 to the nearest integer?
134
What is the cube root of 1051877 to the nearest integer?
102
What is the square root of 3033608 to the nearest integer?
1742
What is 519480 to the power of 1/3, to the nearest integer?
80
What is the cube root of 755215 to the nearest integer?
91
What is 22295696 to the power of 1/3, to the nearest integer?
281
What is 14973806 to the power of 1/10, to the nearest integer?
5
What is the square root of 430942 to the nearest integer?
656
What is 6886789 to the power of 1/3, to the nearest integer?
190
What is 1393678 to the power of 1/5, to the nearest integer?
17
What is the fourth root of 6618267 to the nearest integer?
51
What is the third root of 48194 to the nearest integer?
36
What is the tenth root of 7416074 to the nearest integer?
5
What is the tenth root of 100674 to the nearest integer?
3
What is the third root of 4566 to the nearest integer?
17
What is the tenth root of 252179 to the nearest integer?
3
What is the cube root of 9737481 to the nearest integer?
214
What is 10306032 to the power of 1/3, to the nearest integer?
218
What is the ninth root of 3426571 to the nearest integer?
5
What is 3274281 to the power of 1/7, to the nearest integer?
9
What is the fifth root of 3080207 to the nearest integer?
20
What is 365901 to the power of 1/5, to the nearest integer?
13
What is the tenth root of 34924363 to the nearest integer?
6
What is the fifth root of 241125 to the nearest integer?
12
What is 18683343 to the power of 1/8, to the nearest integer?
8
What is the square root of 39097972 to the nearest integer?
6253
What is the square root of 95251 to the nearest integer?
309
What is 189222 to the power of 1/9, to the nearest integer?
4
What is 159751 to the power of 1/4, to the nearest integer?
20
What is the square root of 75284 to the nearest integer?
274
What is the ninth root of 10645754 to the nearest integer?
6
What is the fifth root of 3376821 to the nearest integer?
20
What is 3047186 to the power of 1/2, to the nearest integer?
1746
What is 905441 to the power of 1/2, to the nearest integer?
952
What is 1445453 to the power of 1/5, to the nearest integer?
17
What is the third root of 290337 to the nearest integer?
66
What is the fifth root of 6021087 to the nearest integer?
23
What is the square root | {
"pile_set_name": "DM Mathematics"
} |
+ 2014809/857. Let p = a + 807/21425. Do 0 and p have the same value?
False
Let n be 91/35 + (-4)/(-10). Suppose -s = -2*p + 12, -2*s - 16 = -5*p + n*p. Which is bigger: p or 2?
p
Let s = 492829/53 - 9299. Is s at most -1?
False
Let l be 3/15 + -1 + 7/(-35). Let d be 1 + 2/(-3) + l/(-1). Is d at least 0?
True
Let b = -7065143/361 + 19571. Is b bigger than -1?
True
Let s(r) = 13*r - 1. Let v(b) = b**2 - 7*b + 7. Let i be v(6). Let n be s(i). Suppose x - 4*x + n = 0. Is 3 at most as big as x?
True
Let y = -49608626878/30955317 - -2/1820901. Let v = -1602 - y. Which is bigger: 0 or v?
v
Let s(x) = -7*x + 0*x**2 + x**2 + 2*x + 4. Let f be s(5). Let g = -87 - -86.8. Does f = g?
False
Suppose 11 = 45*n - 34*n. Does -30/271 = n?
False
Let p = 2157 - 2153. Let n = -0.1 + 2.1. Which is smaller: n or p?
n
Let o be 3*(755/190 - 4). Which is bigger: 0 or o?
0
Suppose -c = i + 2*i + 62, 0 = c - 1. Let b be 8 - (-7)/(i/(-12)). Let f be ((-18)/(-12))/(b/2). Which is smaller: f or 11?
f
Let f = 19 - 33. Let n be 1/((-9)/(-6)) + f/21. Does n = -1/115?
False
Let o = 3.5 + -0.5. Let q = 2.12 - 1.854. Let t = 0.034 + q. Which is greater: o or t?
o
Let h(s) = 3*s**3 - s**2 - 2*s. Let c be h(2). Suppose 4*y + c = -2*a, -2*y + 20 = -7*y. Let w = 1 + a. Is 2 at least as big as w?
True
Let p(h) = -90002*h + 4. Let w be p(8). Let m = w - -7913791/11. Let b = m - -577. Which is greater: 1 or b?
1
Let g = 8.3 - 6.3. Let h = 183 - 1284/7. Is g >= h?
True
Let h(r) = 15*r**2 + 2*r + 4. Let m be h(-2). Let l be (-355)/m - 4/(-6). Is l smaller than -4?
True
Let x = 116148/145 - 801. Which is smaller: 0 or x?
0
Suppose 5*m + 2*j - 44 + 431 = 0, 2*m - 4*j + 174 = 0. Is m at least as big as -78?
False
Suppose 1 = -3*g + 13. Let c be 412/90 + (-108)/(-486). Which is bigger: c or g?
c
Let r be ((-7)/(-12) + 8/(-16))*(-632)/4582. Let m be 2*1/(-1 - -3). Which is bigger: r or m?
m
Let y = -525 + 597. Is y <= 71?
False
Let y be ((-10)/4 + -1)*(-4 + 0). Suppose 5*q = 4*d - 10 - 1, 5*d = -3*q - y. Is -3 < q?
False
Let g = -1.59 - -1.79. Let u = -31 + 34.8. Let z = g + u. Which is smaller: -1 or z?
-1
Let z(c) = 26*c**2 + 67*c - 2. Let h be z(-2). Is -41 greater than or equal to h?
False
Let v be (-1 + 1 - 0) + (-560)/152. Which is smaller: v or -3?
v
Let l be (-2169)/(-12) - 3/1. Let z = l + -117. Let c = 60 - z. Is c smaller than -2?
False
Let a = 973.9 + -963. Is -2 < a?
True
Let h(q) be the first derivative of -q**3/3 + 3*q**2/2 + q - 5. Let f be h(0). Is 2/105 at least f?
False
Let n = -49 - -59. Which is smaller: n or -0.1?
-0.1
Let o(w) = -6*w + 105. Let v be o(-27). Which is greater: v or 265?
v
Let y = 8 + -8.3. Let c be ((-10)/190)/((-10)/10). Which is smaller: y or c?
y
Let m = 8 + -3. Let x = m - -3. Let p = 9 - x. Which is smaller: p or -3?
-3
Let h(g) = -72*g + 541. Let m be h(8). Does m = -21?
False
Let i = -20.87 - -9.87. Which is greater: i or 55?
55
Let r be (-9045)/20 + (-2)/(-8). Which is bigger: r or -451?
-451
Suppose -5*o - 36 = 184. Let y be (-12)/(-66) + 30/o. Which is smaller: 0.7 or y?
y
Suppose 2*k - 3 = 7. Suppose 9 = k*a - 21. Let d = -9 + a. Is d not equal to -5?
True
Suppose 0 = -11*a + 3*a - 32. Let h(t) = t**2 - 5*t - 4. Let z be h(5). Are z and a unequal?
False
Let i = 5516551698/2225 - 2479349. Let d = i + 1/445. Which is smaller: 1 or d?
d
Let i = 42 + -66. Let b be 4 + 44/(-10) + i/(-10). Is 5 < b?
False
Let d = -3.99 - -2.99. Which is greater: 378 or d?
378
Let p(f) = 3*f**3 - 2*f**2 + 1. Let a be p(1). Let b = 68 - 40. Suppose 2*n + 5*z = z - 8, -3*z - b = -4*n. Which is smaller: a or n?
a
Suppose -h - 27 = -2*y, -2*h - 7 = -5*y + 45. Let n be h/(-3) + 5/(-15). Let t be 14 + -13 - 7/n. Which is smaller: 0 or t?
0
Let a(c) = -c - 1. Let y be a(-3). Let i = 2 - y. Suppose -20 = -4*z, -5*t + 2*z - 11 + 81 = i. Is t < 16?
False
Let o = 1.35 - -56.65. Let t = -59.8 + o. Is -0.1 equal to t?
False
Suppose 4*z + 22 = -2*b, -2*b + 0 + 2 = -4*z. Let i = -13 - -15. Suppose -3*u = -4*s - 6, -5*u = i*s - 0*s + 16. Is z at least as big as u?
False
Let g = -12 + 17. Suppose 3*s - g = 7. Suppose 2*w + 5 = 13. Is w less than or equal to s?
True
Let w(h) be the third derivative of -h**6/120 + h**5/12 - h**4/6 + h**2. Let p be w(4). Are p and 5 nonequal?
True
Suppose -2*o - 4 = -4*o. Let f = o + 7. Let d be (0/(f/3))/(-2). Which is bigger: d or -9/7?
d
Let v = 329 - 328.5. Which is smaller: -49 or v?
-49
Let z = -92514792/637 + -943883361979/114660. Let l = z - -8377306. Let s = 205/4 - l. Is -1 at most as big as s?
True
Let p = 0 + -2. Suppose 5*l - 19 = 3*z - 0, 3*l = 15. Let g = z + p. Are g and 1 unequal?
True
Suppose 2*o = 3*o - 2668. Let v = o + -8081/3. Let j = -2843/111 - v. Which is smaller: 1 or j?
j
Let f(v) = -v - 10. Let o be f(-7). Let y be 4/o - 1/(-3). Let g be -1 + 3 + (-91)/45. Is y at least as big as g?
False
Let r be 784/280*(-6)/7. Which is greater: -1 or r?
-1
Let l(s) = -s**3 + 14*s**2 + 10*s - 15. Let m be l(14). Let z = -4873/39 + m. Which is bigger: z or 1?
1
Let k = -346.6534 - 0.2466. Let m = 326 + k. Let f = 21 + m. Is -21 less than or equal to f?
True
Suppose 0 = h + 20*c - 16*c + 552, 5*h + 2*c = -2850. Is h at most -572?
True
Let x = 1054 + -7348/7. Which is bigger: 3 or x?
x
Let y be 3/(-8) + 187/136. Is y < -15/59?
False
Let a = 15 + -10. Suppose n = -a*n + 6. Let z be (7 - 6) + 4*n. Is z != 6?
True
Suppose 0*r + r = -5. Let c be (-13)/r - 4/(-10). Suppose -3 = 2*l - c*l. Is 12/7 at most l?
True
Suppose 4*h = -8 - 0. Let z = -7664 + 7663. Does z = h?
False
Let c = -2 + 1. Let w = 2.54 + -0.44. Let v = w + -3.1. Is c greater than v?
False
Let y = -128 + 149. Let j be (-55)/(-2)*4/5. Are y and j equal?
False
Let d = -495 - -495.2. Which is greater: 553 or d?
553
Let v be (-25)/(-6) - (-12)/(-72). Suppose -2*h - 4*l = -0*h - 28, 20 = v*l. Suppose 5*w - 5 = d, -h*d - 5 = d - 5*w. Are 11 and d equal?
False
Suppose 4*k - k = -3*d + 27, -2*d = 5*k - 42. Let j = k + -12. Are -4 and j unequal?
False
Let y = 47.8 - 1.8. Let l = -45 + y. Is -0.41 greater than l?
False
Suppose -2*l = -12 + 36. Suppose -10*s - 1 = -9*s, -i = -5*s + 7. Is i greater than or equal to l?
True
Let p = -43 - -48. Suppose 0 = 3*u + u, p*u = -3*a + 3. Which is smaller: 1/7 or a?
1/7
Suppose 5*q - 14 = 16. Let b = q + -11. Let u = b + 6. Is u equal to 1?
True
Let k = 0 + 0.1. Let v = 108 - 106. Let w be (-2*(-3)/(-8))/(v/8). Which is smaller: w or k?
w
Let n(v) = v**2 + 5*v + 1. Let r be n(-4). Let z be 1 - (r - 627/(-156)). Let u = z + 137/1716. Is u at most as big as 1?
True
Let s be (-1)/((-5864)/1956 + 3). Let m = 949/2 + s. Is m less than or equal to -15?
False
Let i = -909569/9 - -101601. Let l = i + -539. Which is greater: 0.1 or l?
0.1
Let b = -6 + 4. Let w(n) = -12*n - 9. Let m be w(7). Let k be 8/28 - m/(-105). Which is bigger: k or b?
k
Let c be (1 + -2 + 0)/(-1). Suppose 6*i - 5*v = 4*i + 93, 4*v = 2*i - 88. Let p = 103/3 - i. Which is greater: c or p?
c
Let h = -1287 - -1289. Which is bigger: h or 100/59?
h
Let r be 44/35 + 2 - (-20)/(-50). Which is smaller: r or 4?
r
Let i = 51/31 + -5275/3131. Is 1 greater than i?
True
Let z be (-3)/3*7*1. Suppose 0*c - 5*c - 10 = -3*d, -5*c - 2*d - 10 = 0. Let p be (2 + -4 - z) + c. Is p not equal to 0?
True
Let w(s) = -s**3 + 5*s + 33. Let r be w(5). Is r less than or equal to -68?
False
Let w = 41802/2359 + -2/337. Is 17 >= w?
False
Let j = 0 + -25. Let q be ((-20)/j)/(-5 - -3). Let z = -2 + 2.06. Is q at most z?
True
Let z = -26 + 26.41. Let f = z - 0.31. Is 2/5 < f?
False
Let f = 21 - 12. Let k(y) = -4*y**2 - 15*y + 1. Let b(n) = 3*n**2 + 14*n. Let v(i) = 5*b(i) + 4*k(i). Let l be v(f). Which is bigger: 14 or l?
14
Let s be 8/2 + (-465)/117. Let n = -4/39 + s. Is n at most as big as -1?
False
Let x = 204 - 347. Let r = 139.95 + x. Let f = 0.05 + r. Which is greater: f or -1/3?
-1/3
Suppose -3*t - 13*d + 9*d - 605 = 0, -215 = t - 2*d. Is t less than or equal to -206?
True
Suppose 4*n + 3*r - 256 = 0, -5*r = n - 82 + 18. Which is bigger: 62 or n?
n
Let q(l) = -l + 29. Let v be q(30). Do 14/67 and v have the same value?
False
Let d(j) be the third derivative of -j**6/10 - j**5/60 - 8*j**2. Suppose 4 = -5*l - 1. Let u be d(l). Which is greater: u or 12?
12
Let f = -1928/9 - -214. Let r = -13/63 + f. Which is greater: | {
"pile_set_name": "DM Mathematics"
} |
ndred?
1300
Let l = 6268.72 - 6167. Let w = 0.28 + l. Let z = w + -102.0041. What is z rounded to 3 dps?
-0.004
Let a be -3 - (-12)/(-4)*-1. Suppose a = -0*p - 2*p - 70. Let d = p + -155. What is d rounded to the nearest one hundred?
-200
Let b = -49 + 49.0464. Let n = -0.03 + b. What is n rounded to 3 dps?
0.016
Let j(h) = -1375004*h - 32. Let b be j(-8). Round b to the nearest one million.
11000000
Let v = -403 - -427. What is v rounded to zero dps?
24
Let t = 3.264 - 2.6634. What is t rounded to two decimal places?
0.6
Let t = 783.5 - 2028.9. What is t rounded to the nearest ten?
-1250
Suppose -3*h + 6 = 2*w, w + w = 5*h + 22. Let p be 82/26 - (-4)/(-26). Let v be 4/w*171 + p. What is v rounded to the nearest ten?
120
Let s = -70.75 - -11.746. Let r = s - -59. Round r to two decimal places.
0
Let i = -2485.6226 - -2398.622624. Let c = i + 87. What is c rounded to five dps?
0.00002
Let j = -116.36 + 138.3546. Let n = -51 - -73. Let g = n - j. Round g to three dps.
0.005
Let y = 42539.3791 - 42792.39. Let o = 250 - 503. Let u = y - o. Round u to 3 decimal places.
-0.011
Let n = 13.06 - 7.3. What is n rounded to 0 dps?
6
Let v be (16 + -6)*(-94000)/2. What is v rounded to the nearest 100000?
-500000
Let w = -122.77 - -122. Let d = w + 0.77066. Round d to 4 dps.
0.0007
Let b(z) = -255*z - 4. Let p be b(-4). Suppose -4*r - r = 2*c - 1242, -4*r + 4*c = -p. Let d be r/(12/3 + -3). Round d to the nearest 100.
300
Let o = 52.5 - 52.5673. What is o rounded to 2 decimal places?
-0.07
Let r = -2742 - -5110. Suppose -5*t - r = -9*t. Let s be (t/(-3))/((-26)/24375). What is s rounded to the nearest ten thousand?
190000
Let a = -187272 - -187121.887. Let q = a - -0.113. Let u = 142.7 + q. Round u to the nearest integer.
-7
Let s = -82.99999176 - -83. Round s to 6 dps.
0.000008
Let d = 845.7998531 + -722.79985348. Let g = d + -123. What is g rounded to 7 decimal places?
-0.0000004
Let k = 108.6 - 99. Let a = k - -45.8. What is a rounded to the nearest 10?
60
Let y = 182790151 + -120419923. Suppose -5*j + 37129772 + y = 0. What is j rounded to the nearest one million?
20000000
Let r = 0.0774 + -0.0184. What is r rounded to 2 dps?
0.06
Let u = -3433.3 + 3642. Round u to the nearest ten.
210
Let w = -95.0244981 - -5.0245391. Let k = 90 + w. What is k rounded to five dps?
0.00004
Let j(c) = 35236*c**2 + 6*c - 17. Let i be j(6). Let h = i - -2041485. What is h rounded to the nearest 100000?
3300000
Let w = 49.964 + -66.9664. Let y = w + 17. Round y to 3 decimal places.
-0.002
Let p = 4607813947.00000051 - 4607813912. Let k = -35 + p. Round k to seven decimal places.
0.0000005
Let p be (36 - -5) + (-6)/2. Suppose -9600000 = 42*b - p*b. What is b rounded to the nearest one million?
-2000000
Let t(v) = 134029*v**3 + 2*v**2 + 25*v + 12. Let a be t(4). What is a rounded to the nearest 1000000?
9000000
Suppose -3*c - 3*v = -2*c - 1335, -2669 = -2*c - 5*v. What is c rounded to the nearest 100?
1300
Let d = -2588.3 - -2777. What is d rounded to the nearest one hundred?
200
Let a = -7.880176 - -7.88. Round a to five dps.
-0.00018
Let l = -10.66 + 1.26. Let i = 9.67 + l. Round i to one dp.
0.3
Let j = 0.1438997501 + -0.1439. Round j to 7 dps.
-0.0000002
Suppose -62588 = -36*f - 232724. Round f to the nearest one hundred.
-4700
Let y = 83235.34443 + -83235. Let s = y + -0.343. What is s rounded to four dps?
0.0014
Suppose 0 = 3*h + 6*h - 2745. Let l = h + -218. Round l to the nearest 10.
90
Let n = 44 - 40. Suppose 0 = -5*u + u - n*j + 1860, 0 = -4*u - 5*j + 1862. What is u rounded to the nearest ten?
460
Let b = -64 - -91. Let a = -27.21 + b. Let l = a + 0.210024. What is l rounded to 6 decimal places?
0.000024
Let d = -610467059 + 610467120.7000633. Let r = d - 61.7. Round r to 5 dps.
0.00006
Suppose -2*v - 2*v = -i - 10, 0 = 3*v + 3*i - 15. Suppose -2*s + 44 = -v*x + 9, 4*x = 3*s - 45. Let t be (-5)/(x/(-8))*48. Round t to the nearest ten.
-130
Let c = 2.25 - -139.75. Let s = -17730313248 + 17730313106.00000107. Let i = c + s. Round i to 7 decimal places.
0.0000011
Let l(s) = s**2 - 8*s - 5. Let a be l(9). Let t be (-6 + a)*-1*9500. Suppose 4*w - t = 5*w. Round w to the nearest ten thousand.
-20000
Let v = -93 + 89.74. What is v rounded to 1 dp?
-3.3
Let g = -3119 + 3258.1. What is g rounded to 0 dps?
139
Let w be 7 + (-9)/(4 - 1). Let r be (-40524)/21 + w/(-14). Round r to the nearest one hundred.
-1900
Let z be (2160/7)/(17/(-6545000)). Round z to the nearest one million.
-119000000
Let w be (-3)/(12/28) - -3. Suppose 0 = -k + 5*k + 36. Let g be ((-210)/w)/(k/84). What is g rounded to the nearest 100?
-500
Let v = -1331.46 - -1312. Round v to 0 dps.
-19
Let z = -0.479653 + 0.059569. Let n = 0.42 + z. What is n rounded to 5 decimal places?
-0.00008
Let d = -0.0366 - -0.039532. Round d to 3 dps.
0.003
Let y(k) = -19184*k + 452. Let d be y(-22). What is d rounded to the nearest ten thousand?
420000
Let i(d) = 88002*d**2 + 4*d - 96. Let l be i(6). What is l rounded to the nearest 1000000?
3000000
Let t = 279614.69721 + -279456.69720709. Let z = t - 158. Round z to 6 decimal places.
0.000003
Let z = -0.176998235 - -0.177. What is z rounded to six decimal places?
0.000002
Let b = 0.076343558 + 5.423658602. Let w = 5.5 - b. Round w to seven decimal places.
-0.0000022
Let u = 45 + -49.6. Let i = u + -0.3. What is i rounded to zero dps?
-5
Let r(h) = 4550*h. Let p be r(-10). What is p rounded to the nearest ten thousand?
-50000
Let y = -764.9999827 + 765. Round y to five dps.
0.00002
Let y(v) = 44*v + 181. Let o be y(-4). Suppose -a + 2*d - 345886 - 954106 = 0, -2*d + 3899996 = -3*a. Let f be o/(10/a) - -1. Round f to the nearest 100000.
-700000
Let g = 147 - 2737. What is g rounded to the nearest one thousand?
-3000
Let o = 2.44 + 99.56. Let h = -102.069 + o. What is h rounded to 2 decimal places?
-0.07
Let x(y) = -2*y**2 - y + 304700. Let g be x(0). Suppose -3*c - 8*c = g. What is c rounded to the nearest one thousand?
-28000
Let v = -602.21948 + 602.5. Let o = 0.28 - 0.56. Let j = o + v. What is j rounded to 4 dps?
0.0005
Let h = -6025.3 + 5732. Let v = 307 + h. Round v to the nearest 10.
10
Let i be -35*12*(-1476708)/(-18). Let j = i - -59456520. What is j rounded to the nearest one million?
25000000
Let w = -0.06152 - -0.035. What is w rounded to 3 decimal places?
-0.027
Let s = 933 + -653. Let o = s - 286.04. What is o rounded to 0 decimal places?
-6
Suppose -4*l + 5*v + 354037 = 14032, 2*v = 3*l - 255002. What is l rounded to the nearest one hundred thousand?
100000
Let n = 42 - -106. Let d = n + -148.0000011. What is d rounded to 6 decimal places?
-0.000001
Let z = 0.004 - 51.004. Let a = 3380.42 - 3432. Let n = z - a. Round n to one dp.
0.6
Let q = -0.0461 - -0.1497. What is q rounded to two decimal places?
0.1
Let l = -935 - -2005. Round l to the nearest one thousand.
1000
Let z = 869 + -562. Let u = z + -339.4. What is u rounded to the nearest integer?
-32
Suppose -g + 3*g - 16 = 0. Suppose 0 = g*y - 5*y + 18. Let r be y/39 + (-6695010)/(-65). What is r rounded to the nearest 10000?
100000
Let d = -29.1962852 - -28.06626. Let t = -1.13 - d. What is t rounded to six dps?
0.000025
Let m = -0.0187662 + 0.01951. Round m to 5 dps.
0.00074
Let j = -1861.6 - -2268. Let o = j - 201.5. Let z = o - 215. What is z rounded to 0 decimal places?
-10
Let k = -157 - -49. Let b = -658 - k. What is b rounded to the nearest 1000?
-1000
Let s = -607 - -606.99998876. What is s rounded to six dps?
-0.000011
Let n = -383.004 - -139.41. Let w = 244 + n. Round w to 2 dps.
0.41
Let z = 21 + -19. Suppose -j = 5*d - 3005, 3*j - d + z*d - 9001 = 0. Suppose -4*c = c + j. What is c rounded to the nearest one thousand?
-1000
Let t = 1.22 - 1.2. Let n = 14.007 + -14. Let q = n + t. What is q rounded to two decimal places?
0.03
Let z = -687 + 686.998019. Round z to three decimal places.
-0.002
Let u = -24 - -3. Let s = u - -21.24. Let q = -0.24086 + s. What is q rounded to 4 dps?
-0.0009
Let m = -0.7388 - 45.3912. What is m rounded to the nearest integer?
-46
Let b = -61.2039 - 0.7361. Round b to the nearest 10.
-60
Let s = 1.8 + -1.03. Let w = -0.7700013 + s. Round w to 6 dps.
-0.000001
Let i = -2549 + 2547.051. Let k = 2.07 + i. What is k rounded to two decimal places?
0.12
Let a = -6 + 5.99 | {
"pile_set_name": "DM Mathematics"
} |
from znhnfunupnun?
5/66
Two letters picked without replacement from rkvylyyy. What is prob of picking 2 y?
3/14
Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {x: 2, f: 6, a: 1, y: 4, t: 3}.
1/10
Calculate prob of picking 1 k, 1 a, and 1 e when three letters picked without replacement from akxke.
1/5
Two letters picked without replacement from gnznkggkgkngk. What is prob of picking 2 g?
5/39
Two letters picked without replacement from {g: 7, j: 7}. Give prob of picking 1 j and 1 g.
7/13
Three letters picked without replacement from {f: 15, u: 5}. Give prob of picking 3 f.
91/228
Calculate prob of picking 1 y, 1 t, and 1 z when three letters picked without replacement from {y: 2, n: 1, g: 1, z: 2, r: 1, t: 1}.
1/14
Three letters picked without replacement from {a: 2, b: 2, f: 2, t: 4}. What is prob of picking 1 b and 2 f?
1/60
Four letters picked without replacement from {a: 3, e: 3, g: 5, r: 2}. Give prob of picking 3 a and 1 e.
3/715
What is prob of picking 2 k, 1 u, and 1 j when four letters picked without replacement from {j: 2, k: 7, u: 3, c: 3}?
6/65
What is prob of picking 3 w when three letters picked without replacement from {w: 7, k: 4}?
7/33
Four letters picked without replacement from pvqpvqwwqwvpvp. What is prob of picking 1 q, 2 v, and 1 p?
72/1001
Two letters picked without replacement from {k: 13, w: 3}. Give prob of picking 2 w.
1/40
Two letters picked without replacement from {o: 8, f: 4, d: 1}. What is prob of picking 1 d and 1 o?
4/39
Three letters picked without replacement from ccccpcccqccqqqccqcqq. What is prob of picking 1 p and 2 q?
7/380
Three letters picked without replacement from {o: 2, k: 1, u: 8, z: 7, m: 2}. What is prob of picking 1 m, 1 u, and 1 o?
8/285
Calculate prob of picking 1 k, 1 g, and 1 m when three letters picked without replacement from {m: 1, k: 7, o: 1, g: 6}.
6/65
Three letters picked without replacement from {f: 8, x: 8, j: 1}. What is prob of picking 2 x and 1 j?
7/170
Three letters picked without replacement from {y: 1, j: 3, b: 1, h: 2, x: 3, d: 5}. What is prob of picking 2 j and 1 y?
3/455
Calculate prob of picking 1 z and 1 f when two letters picked without replacement from {z: 1, p: 1, n: 1, f: 3, t: 1}.
1/7
What is prob of picking 1 r and 2 z when three letters picked without replacement from {z: 3, r: 17}?
17/380
What is prob of picking 1 l, 1 j, and 1 w when three letters picked without replacement from iiilwiwwijii?
3/220
What is prob of picking 4 s when four letters picked without replacement from sjssssssssssj?
6/13
Calculate prob of picking 2 e when two letters picked without replacement from xxxxexxexexxxxxxxxe.
2/57
What is prob of picking 1 m and 2 s when three letters picked without replacement from {f: 1, s: 2, m: 1, z: 1}?
1/10
Two letters picked without replacement from {c: 1, y: 2, g: 1}. What is prob of picking 2 y?
1/6
Four letters picked without replacement from cvjyllyvjjjlll. What is prob of picking 2 v and 2 j?
6/1001
Calculate prob of picking 4 r when four letters picked without replacement from {n: 9, r: 9}.
7/170
Four letters picked without replacement from {j: 5, t: 1, m: 3}. What is prob of picking 1 t and 3 j?
5/63
Two letters picked without replacement from elyll. Give prob of picking 1 l and 1 e.
3/10
Four letters picked without replacement from mmjammxammmxamaz. What is prob of picking 1 j, 1 m, and 2 x?
2/455
Calculate prob of picking 2 x when two letters picked without replacement from vxhkmvhmnxmhx.
1/26
Four letters picked without replacement from jtmjjjjmjjttt. What is prob of picking 1 m and 3 j?
14/143
Calculate prob of picking 1 f and 2 i when three letters picked without replacement from {f: 2, e: 3, n: 4, d: 4, i: 3}.
3/280
Four letters picked without replacement from {l: 1, p: 2, a: 2, i: 4}. What is prob of picking 3 i and 1 a?
4/63
What is prob of picking 2 t, 1 c, and 1 a when four letters picked without replacement from {d: 2, t: 2, x: 2, a: 1, c: 2, l: 5}?
2/1001
Four letters picked without replacement from jtzymmjtymzymtzymzz. Give prob of picking 1 j, 1 z, and 2 m.
25/969
Calculate prob of picking 1 q and 2 d when three letters picked without replacement from qadvdhddqd.
1/6
What is prob of picking 4 a when four letters picked without replacement from aaaaanaaaan?
21/55
Calculate prob of picking 1 h and 1 m when two letters picked without replacement from {m: 2, d: 1, h: 1}.
1/3
Calculate prob of picking 1 a and 2 r when three letters picked without replacement from {f: 3, r: 6, a: 6}.
18/91
Four letters picked without replacement from rmmmmmmmmmrmmrmrrrm. What is prob of picking 1 m and 3 r?
65/969
Calculate prob of picking 3 l when three letters picked without replacement from {l: 3, j: 8}.
1/165
Two letters picked without replacement from skstsststti. Give prob of picking 1 k and 1 i.
1/55
Two letters picked without replacement from {u: 1, z: 1, v: 1, w: 3, g: 2, a: 4}. What is prob of picking 1 z and 1 g?
1/33
What is prob of picking 2 k when two letters picked without replacement from {l: 2, k: 3, m: 3, g: 5}?
1/26
Calculate prob of picking 1 b and 1 d when two letters picked without replacement from oodobzdzpzbe.
2/33
What is prob of picking 3 u when three letters picked without replacement from dssdduuudduussd?
2/91
Calculate prob of picking 4 w when four letters picked without replacement from {w: 5}.
1
Two letters picked without replacement from {q: 1, k: 2, z: 6, d: 2, g: 5}. Give prob of picking 2 z.
1/8
Calculate prob of picking 2 b when two letters picked without replacement from bbbb.
1
Calculate prob of picking 1 v and 2 r when three letters picked without replacement from rrrddvwdrghgwhhhwdw.
2/323
Three letters picked without replacement from {e: 2, l: 2, y: 1, q: 1, u: 1}. Give prob of picking 1 q, 1 y, and 1 l.
2/35
Calculate prob of picking 1 w, 1 l, and 2 q when four letters picked without replacement from dhbhhdhlqdwwdlwlq.
9/2380
What is prob of picking 1 s, 1 n, and 1 m when three letters picked without replacement from {s: 4, n: 2, g: 2, m: 3, z: 2}?
12/143
What is prob of picking 2 t when two letters picked without replacement from ppptttptttt?
21/55
Three letters picked without replacement from nnnnncnccnncnnnc. What is prob of picking 2 n and 1 c?
55/112
Calculate prob of picking 1 f and 1 t when two letters picked without replacement from qtf.
1/3
Calculate prob of picking 2 h, 1 z, and 1 b when four letters picked without replacement from bhgebzh.
2/35
Three letters picked without replacement from {x: 1, l: 4, i: 3, q: 4, j: 2}. Give prob of picking 2 i and 1 j.
3/182
Three letters picked without replacement from oaalmmmsljoalassl. Give prob of picking 2 a and 1 m.
9/340
What is prob of picking 2 s and 1 a when three letters picked without replacement from kkkxkxxrssxsaxkak?
3/340
Two letters picked without replacement from aklkkpkkl. What is prob of picking 1 k and 1 p?
5/36
Calculate prob of picking 1 s, 1 y, and 2 z when four letters picked without replacement from slyzlzz.
3/35
What is prob of picking 1 k, 1 o, and 1 x when three letters picked without replacement from wxkto?
1/10
What is prob of picking 1 w, 1 r, and 1 t when three letters picked without replacement from itirrriwtwtwwww?
54/455
Calculate prob of picking 1 u, 1 c, and 1 l when three letters picked without replacement from ulcuc.
2/5
Four letters picked without replacement from {s: 2, i: 3}. Give prob of picking 2 s and 2 i.
3/5
Calculate prob of picking 2 w when two letters picked without replacement from xwxoxejooooewoooo.
1/136
Calculate prob of picking 2 a and 1 m when three letters picked without replacement from aaaammduasmmuuffsa.
5/68
Calculate prob of picking 1 k and 3 f when four letters picked without replacement from {k: 6, f: 7}.
42/143
Two letters picked without replacement from {o: 10, d: 2, x: 1, n: 1}. What is prob of picking 1 x and 1 n?
1/91
Four letters picked without replacement from {e: 5, n: 3, w: 1, f: 1, z: 1}. What is prob of picking 1 w and 3 f?
0
Calculate prob of picking 2 p when two letters picked without replacement from tptppppptpp.
28/55
Calculate prob of picking 2 w and 1 d when three letters picked without replacement from {d: 9, w: 6, k: 4}.
45/323
Four letters pi | {
"pile_set_name": "DM Mathematics"
} |
is the tens digit of 178?
7
What is the tens digit of 12431?
3
What is the thousands digit of 27186?
7
What is the hundreds digit of 547?
5
What is the units digit of 18374?
4
What is the units digit of 1440?
0
What is the units digit of 132?
2
What is the tens digit of 46128?
2
What is the units digit of 3219?
9
What is the tens digit of 1846?
4
What is the units digit of 13213?
3
What is the ten thousands digit of 11623?
1
What is the units digit of 823?
3
What is the hundreds digit of 11580?
5
What is the hundreds digit of 355?
3
What is the thousands digit of 71717?
1
What is the tens digit of 311?
1
What is the units digit of 58049?
9
What is the thousands digit of 17183?
7
What is the ten thousands digit of 41361?
4
What is the thousands digit of 38187?
8
What is the tens digit of 122?
2
What is the thousands digit of 24481?
4
What is the tens digit of 31183?
8
What is the hundreds digit of 22889?
8
What is the thousands digit of 1421?
1
What is the thousands digit of 54325?
4
What is the tens digit of 1629?
2
What is the hundreds digit of 8458?
4
What is the hundreds digit of 2160?
1
What is the tens digit of 36?
3
What is the tens digit of 1289?
8
What is the ten thousands digit of 39151?
3
What is the tens digit of 6960?
6
What is the units digit of 2149?
9
What is the thousands digit of 36781?
6
What is the hundreds digit of 60757?
7
What is the thousands digit of 1133?
1
What is the tens digit of 12020?
2
What is the ten thousands digit of 43757?
4
What is the units digit of 1771?
1
What is the units digit of 2660?
0
What is the tens digit of 354?
5
What is the tens digit of 1024?
2
What is the ten thousands digit of 55041?
5
What is the units digit of 6442?
2
What is the units digit of 61330?
0
What is the units digit of 524?
4
What is the units digit of 5683?
3
What is the hundreds digit of 25934?
9
What is the units digit of 8262?
2
What is the units digit of 1621?
1
What is the units digit of 2941?
1
What is the units digit of 7883?
3
What is the hundreds digit of 1090?
0
What is the units digit of 15437?
7
What is the hundreds digit of 37927?
9
What is the units digit of 49434?
4
What is the units digit of 673?
3
What is the units digit of 3750?
0
What is the ten thousands digit of 23255?
2
What is the tens digit of 1640?
4
What is the hundreds digit of 845?
8
What is the units digit of 7021?
1
What is the hundreds digit of 5378?
3
What is the thousands digit of 2420?
2
What is the units digit of 9667?
7
What is the tens digit of 39188?
8
What is the units digit of 114977?
7
What is the tens digit of 1689?
8
What is the ten thousands digit of 60723?
6
What is the thousands digit of 1936?
1
What is the tens digit of 12083?
8
What is the units digit of 129632?
2
What is the hundreds digit of 6865?
8
What is the units digit of 17?
7
What is the hundreds digit of 949?
9
What is the units digit of 72173?
3
What is the units digit of 29817?
7
What is the thousands digit of 5206?
5
What is the units digit of 9253?
3
What is the tens digit of 962?
6
What is the thousands digit of 1405?
1
What is the tens digit of 70197?
9
What is the units digit of 73840?
0
What is the units digit of 30390?
0
What is the units digit of 12471?
1
What is the units digit of 2204?
4
What is the tens digit of 77000?
0
What is the thousands digit of 43498?
3
What is the units digit of 1018?
8
What is the units digit of 9451?
1
What is the ten thousands digit of 21192?
2
What is the units digit of 1188?
8
What is the units digit of 7820?
0
What is the hundreds digit of 29746?
7
What is the units digit of 2492?
2
What is the thousands digit of 5623?
5
What is the tens digit of 102?
0
What is the units digit of 411?
1
What is the tens digit of 1195?
9
What is the tens digit of 25100?
0
What is the thousands digit of 9040?
9
What is the thousands digit of 58646?
8
What is the tens digit of 110?
1
What is the thousands digit of 75653?
5
What is the ten thousands digit of 56457?
5
What is the thousands digit of 51548?
1
What is the tens digit of 330?
3
What is the hundreds digit of 39944?
9
What is the units digit of 98629?
9
What is the ten thousands digit of 18856?
1
What is the hundreds digit of 453?
4
What is the units digit of 3131?
1
What is the ten thousands digit of 22342?
2
What is the tens digit of 35394?
9
What is the units digit of 8548?
8
What is the hundreds digit of 812?
8
What is the hundreds digit of 69790?
7
What is the ten thousands digit of 10928?
1
What is the ten thousands digit of 57961?
5
What is the thousands digit of 23810?
3
What is the hundreds digit of 473?
4
What is the tens digit of 32634?
3
What is the hundreds digit of 22517?
5
What is the units digit of 16?
6
What is the thousands digit of 1884?
1
What is the tens digit of 1354?
5
What is the thousands digit of 1911?
1
What is the thousands digit of 2787?
2
What is the units digit of 264?
4
What is the hundreds digit of 155239?
2
What is the ten thousands digit of 96897?
9
What is the units digit of 5926?
6
What is the tens digit of 15280?
8
What is the tens digit of 921?
2
What is the tens digit of 11787?
8
What is the tens digit of 103908?
0
What is the units digit of 78?
8
What is the thousands digit of 1259?
1
What is the tens digit of 851?
5
What is the hundreds digit of 103014?
0
What is the hundreds digit of 892?
8
What is the units digit of 48998?
8
What is the units digit of 10434?
4
What is the units digit of 808?
8
What is the units digit of 39839?
9
What is the thousands digit of 15287?
5
What is the thousands digit of 43756?
3
What is the hundreds digit of 307?
3
What is the hundreds digit of 33594?
5
What is the units digit of 20879?
9
What is the hundreds digit of 6587?
5
What is the hundreds digit of 3281?
2
What is the ten thousands digit of 55115?
5
What is the thousands digit of 9256?
9
What is the thousands digit of 3974?
3
What is the thousands digit of 3184?
3
What is the hundreds digit of 22019?
0
What is the ten thousands digit of 39402?
3
What is the units digit of 321?
1
What is the tens digit of 2562?
6
What is the units digit of 1085?
5
What is the units digit of 9920?
0
What is the tens digit of 936?
3
What is the thousands digit of 43630?
3
What is the hundreds digit of 21317?
3
What is the units digit of 541?
1
What is the units digit of 681?
1
What is the hundreds digit of 257?
2
What is the tens digit of 96813?
1
What is the units digit of 8075?
5
What is the tens digit of 756?
5
What is the hundreds digit of 86417?
4
What is the thousands digit of 10223?
0
What is the tens digit of 19327?
2
What is the units digit of 1109?
9
What is the hundreds digit of 1557?
5
What is the units digit of 1659?
9
What is the ten thousands digit of 18692?
1
What is the hundreds digit of 1242?
2
What is the thousands digit of 18483?
8
What is the thousands digit of 1179?
1
What is the tens digit of 12564?
6
What is the tens digit of 2777?
7
What is the thousands digit of 1376?
1
What is the hundreds digit of 1091?
0
What is the hundreds digit of 164776?
7
What is the tens digit of 1650?
5
What is the tens digit of 1814?
1
What is the units digit of 19875?
5
What is the hundreds digit of 100830?
8
What is the thousands digit of 43855?
3
What is the ten thousands digit of 98701?
9
What is the tens digit of 16323?
2
What is the tens digit of 91060?
6
What is the tens digit of 16873?
7
What is the units digit of 172?
2
What is the thousands digit of 50681?
0
What is the tens digit of 5174?
7
What is the tens digit of 124302?
0
What is the tens digit of 25214?
1
What is the units digit of 20190?
0
What is the tens digit of 2199?
9
What is the ten thousands digit of 163726?
6
What is the hundreds digit of 4304?
3
What is the units digit of 8508?
8
What is the units digit of 1208?
8
What is the thousands digit of 3866?
3
What is the ten thousands digit of 25043?
2
What is the units digit of 11351?
1
What is the hundred thousands digit of 155919?
1
What is the units digit of 900?
0
What is the thousands digit of 15307?
5
What is the units digit of 989?
9
What is the units digit of 32258?
8
What is the hundred thousands digit of 142432?
1
What is the thousands digit of 25303?
5
What is the tens digit of 575?
7
What is the tens digit of 810?
1
What is the thousands digi | {
"pile_set_name": "DM Mathematics"
} |
*(458/75)
Simplify (p**(-28)*p)/p**31 assuming p is positive.
p**(-58)
Simplify y**(-2/5)/(y/(y/(y/y**(-1/26)))) assuming y is positive.
y**(-187/130)
Simplify ((d**(-1)/d)/d*d*d/(d**(-5)*d))**(-8/3) assuming d is positive.
d**(-8)
Simplify (a*a/(((a**(13/5)/a)/a)/a))**(-25) assuming a is positive.
a**(-60)
Simplify ((y*y**(2/11)/y)/y)**32 assuming y is positive.
y**(-288/11)
Simplify (((j*j*j**(1/4)*j)/j)/j**(-3))**(-41) assuming j is positive.
j**(-861/4)
Simplify (d*(d/(d*d/(d/d**(-2/5)*d)*d))/d)**(-28)*(d**(1/3)/d)**(-24) assuming d is positive.
d**(24/5)
Simplify (x*(x/(x/(x/(x/(x*(x*x*x**20/x)/x)))))/x)/((x/(x*x*x/x**(-1/48)))/x) assuming x is positive.
x**(1153/48)
Simplify (p/p**21)/((p/(p*p/p**(4/13)))/p*p) assuming p is positive.
p**(-251/13)
Simplify (m**(1/6)*m/(m**(-1/5)/m))/(m**(3/2)/(m*m/(m**(1/3)*m)*m)) assuming m is positive.
m**(38/15)
Simplify w*w**(-1)*w*w**(-9) assuming w is positive.
w**(-8)
Simplify (a*a*a**(-7/2))/(a*a**11/a*a) assuming a is positive.
a**(-27/2)
Simplify (g**1)**20/(g**0/(g/((g*g**(2/9))/g))) assuming g is positive.
g**(187/9)
Simplify ((o/o**(-5/6))**(-47))**4 assuming o is positive.
o**(-1034/3)
Simplify (a/a**(-1))**(-4/3)/((a*(a/(((a*a**(-5))/a)/a))/a*a)/a*a*((a/((a*a*(a*(a/(a*a**(-8)*a))/a)/a)/a))/a)/a*a) assuming a is positive.
a**(-11/3)
Simplify (y**(-30)/y)/y*y*y/((((y*y/y**(-13))/y)/y)/y)*y assuming y is positive.
y**(-41)
Simplify (k/(k/(k/k**1)*k))**50*((((k*k**(2/3))/k)/k)/k)**(2/19) assuming k is positive.
k**(-2858/57)
Simplify (n*n*((n**9/n)/n)/n*n**3)**(-23/5) assuming n is positive.
n**(-253/5)
Simplify (v**(-1/2)/v)/((v/(v*v**0/v)*v)/v)*(v**(-2))**(-2/15) assuming v is positive.
v**(-67/30)
Simplify ((j/(j*j**(-9)/j))/j**(-4))/(j**(-3/2)*j/j**(-2/15)) assuming j is positive.
j**(431/30)
Simplify y**(-7)/(y**(-19)*y) assuming y is positive.
y**11
Simplify (c**(1/3))**19 assuming c is positive.
c**(19/3)
Simplify i**(-10/13)*i*i**(-19) assuming i is positive.
i**(-244/13)
Simplify o**6/o**8*o**(-1/5)/o*(o**0*o)/o assuming o is positive.
o**(-16/5)
Simplify (g**19)**(2/141) assuming g is positive.
g**(38/141)
Simplify ((a*a/a**(4/11)*a*a)/(a*(a/(a*a/a**(-7/3)))/a))**(-7) assuming a is positive.
a**(-1610/33)
Simplify (h/h**(-6)*h*h**4)**5 assuming h is positive.
h**60
Simplify (b/b**28*b)**(6/11) assuming b is positive.
b**(-156/11)
Simplify (s**4)**(-18) assuming s is positive.
s**(-72)
Simplify (k**(-9)/(k*k**(2/11)*k))**(-21) assuming k is positive.
k**(2583/11)
Simplify (s**(2/19)/((s**(-1/4)*s)/s))**(-9/7) assuming s is positive.
s**(-243/532)
Simplify ((w/(w/(w**5*w*w)*w*w))/(w**(-2/3)*w))/(w**4*w**(-4)) assuming w is positive.
w**(14/3)
Simplify (w**(-9)*w*w**6)/(w*w*w**0)**(5/9) assuming w is positive.
w**(-28/9)
Simplify (u*u**(-4))/(u**(-13/2)*u) assuming u is positive.
u**(5/2)
Simplify ((b/b**(8/7)*b)/(b/(b*b**14/b)))**21 assuming b is positive.
b**291
Simplify d**24/d**(24/5) assuming d is positive.
d**(96/5)
Simplify ((k*k**(-2/7))**(27/4))**15 assuming k is positive.
k**(2025/28)
Simplify ((d/(d**3*d))**(-4))**(-6/17) assuming d is positive.
d**(-72/17)
Simplify o**11/(o*o**(-4/5)) assuming o is positive.
o**(54/5)
Simplify (i**1)**(-42)*(i**(1/4))**(-9/2) assuming i is positive.
i**(-345/8)
Simplify (((a/a**(-6))/a)/(a**(-8)*a))/((a/a**(-1))/a**(-9)) assuming a is positive.
a**2
Simplify (r*r*r/(r*r/r**2)*r*r)**8*r**8/(r*r*r**(-2/9)*r*r) assuming r is positive.
r**(398/9)
Simplify (x**(-9/2)/x**(4/7))**(-3/4) assuming x is positive.
x**(213/56)
Simplify u/u**(-2/9)*u*u*(u*u*(u/((u/u**(-7))/u))/u*u)/u*u/(u/(u*u*u**(1/2)/u*u))*u*u**(-6) assuming u is positive.
u**(-77/18)
Simplify (c*c*c**5*c)/(c/(c/c**6))*c**(-1/3)/(c*c**(2/7)*c*c) assuming c is positive.
c**(-34/21)
Simplify r**24/(r*r/r**(-3/29)) assuming r is positive.
r**(635/29)
Simplify (t**0*t*t/t**(3/4))/(t**0*t**(-1)) assuming t is positive.
t**(9/4)
Simplify ((v/((v/(v/v**(-4/13)))/v))/v**(-1/5))/(v**(-10)/(v*v**(2/11))) assuming v is positive.
v**(9788/715)
Simplify (k**(-2/19)/(k*k*k*k/(k/(k/((k/(k**(-2)*k))/k))*k)))/((k/k**(-2))/k*k*k**(-5/4)*k) assuming k is positive.
k**(-369/76)
Simplify (u/((u*u**9*u)/u*u)*u)/u**(-6) assuming u is positive.
u**(-3)
Simplify (j**(-3))**(-3/16)*(j**(1/4))**(1/87) assuming j is positive.
j**(787/1392)
Simplify j**(1/46)/j**(35/6) assuming j is positive.
j**(-401/69)
Simplify (l**(-2/3)*l)**(3/4)/(l**(2/7)*l**(-2/17)) assuming l is positive.
l**(39/476)
Simplify (z**(-3)*z*(z*z**0)/z)/(z**0)**(1/13) assuming z is positive.
z**(-2)
Simplify (u**(6/5))**33 assuming u is positive.
u**(198/5)
Simplify ((d**(8/5))**(-30))**(1/4) assuming d is positive.
d**(-12)
Simplify (x/x**(2/3))**(-1)/(x**(-2/3))**(-1/3) assuming x is positive.
x**(-5/9)
Simplify (a**22*a*a)/(a*a*a**(-3/11)*a*a) assuming a is positive.
a**(223/11)
Simplify x*x**(-2/9)*x*x*x*x*x*(x**(-6)/x)/x*(x*x*(x*x/(((x*(x**4/x)/x)/x)/x))/x*x)/(x/((x/(x/(x*x**(-5/2)*x)))/x)) assuming x is positive.
x**(-31/18)
Simplify r**3/r*(r**(1/10)*r)/r*(r*r**0)**(-48) assuming r is positive.
r**(-459/10)
Simplify (((l/(l*l/(l/(l**15*l))))/l)/(l**4*l))**(-1/45) assuming l is positive.
l**(22/45)
Simplify ((i*i**22*i)/i)**1 assuming i is positive.
i**23
Simplify (y**(-13/4))**(-30) assuming y is positive.
y**(195/2)
Simplify l**(-2/69)*l**(1/4)/l assuming l is positive.
l**(-215/276)
Simplify h**(1/4)*h/((h*h/h**(13/2))/h) assuming h is positive.
h**(27/4)
Simplify ((((u*u**0)/u)/u)/u**(1/4))**(2/17) assuming u is positive.
u**(-5/34)
Simplify ((l**(-7/2)*l)/l*l*l)/(l/(l*l/l**(-2/11)*l*l))*(l**(-1/9)*l)/l**(-5/4) assuming l is positive.
l**(1513/396)
Simplify ((k/(k*k**11))/k)**(1/6) assuming k is positive.
k**(-2)
Simplify (n/(n*n*n/(n/(n*(((n**3*n)/n)/n*n)/n))))**4/(n**0/(n*(n/n**7)/n)) assuming n is positive.
n**(-22)
Simplify (h*h**(-8)/h)/h**(-2/19)*(h*h/h**(-1))**28 assuming h is positive.
h**(1446/19)
Simplify ((((t*t/(t*t**2))/t)/t)/((t**1/t)/t*t))**(-39) assuming t is positive.
t**117
Simplify (d*d/d**1*d)**(-1/4)/(d**(-1/4))**(-31) assuming d is positive.
d**(-33/4)
Simplify (c/(c/c**0*c*c))**(-2/13)*(c/c**(1/3))**11 assuming c is positive.
c**(298/39)
Simplify (j**(1/2))**(1/45)*j**(-3/4)/(j**(-6)/j) assuming j is positive.
j**(1127/180)
Simplify ((s**7)**9)**(-21/4) assuming s is positive.
s**(-1323/4)
Simplify (u**(-3/11))**33 assuming u is positive.
u**(-9)
Simplify p**(-6/17)*p*p**(-1/68) assuming p is positive.
p**(43/68)
Simplify a/(a/(a*a**(3/2)/a))*(a/(a*a**(9/2)*a))/a assuming a is positive.
a**(-5)
Simplify (m/(m/(m*m**1/m)))/(m*m/((m/m**(4/7))/m))*(m**(-2/5)/m)**(6/5) assuming m is positive.
m**(-569/175)
Simplify p**28*p*p*p/(p*p/(p/(p*p**(-5)*p))*p) assuming p is positive.
p**32
Simplify u**(-16/5)*u*u/(u**(-1/4)*u)*u assuming u is positive.
u**(-19/20)
Simplify (m**(-4)/m)**(1/10) assuming m is positive.
1/sqrt(m)
Simplify (p/p**(5/3)*p/p**8)/((p*p/((p*p**6*p)/p))/p**(4/11)) assuming p is positive.
p**(-76/33)
Simplify t*t**2*t*t*t**(-1/6)*t*((((t*t*t**1/t)/t)/t)/t)/t*t**4*t assuming t is positive.
t**(53/6)
Simplify (d/((d**3*d)/d*d)*d/(d/(d**(-1/6)/d*d*d)))**15 assuming d is positive.
d**(-65/2)
Simplify (q/q**(-13))/q**(2/17) assuming q is positive.
q**(236/17)
Simplify ((d**(-1/12)*d)/d**(-8))/(d/d**(-1/2)*d*d/(d/(d/(d/d**(-2/7))))) assuming d is positive.
d**(563/84)
Simplify u**4*u**6*u**4/(u**(-2/3)*u) assuming u is positive.
u**(41/3)
Simplify (y*y*y*y/(y*y**1)*y*y)**(-1/4)/(y**(-4)/(y**(1/6)*y)) assuming y is positive.
y**(25/6)
Simplify (h/(h/(h/(h/(h**3/h*h))*h)))**18 assuming h is positive.
h**72
Simplify l**(-2/19)*l*l**(2/27)*l*(l/(l/(((l**(-5)/l)/l)/l*l)*l))/((l**0/l)/l) assuming l is positive.
l**(-2068/513)
Simplify l**(-7)*l**(-8/9) assuming l is positive.
l**(-71/9)
Simplify (b**(-13)/b)**24 assuming b is positive.
b**(-336)
Simplify (q**(4/33)/q*q)/(q/q**(-2/7)) assuming q is positive.
q**(-269/231)
Simplify ((d**(-4/5)/d)/d**(-1/8))/(d*(d**9/d)/d*d**(-5)) assuming d is positive.
d**(-187/40)
Simplify ((((w*w/(w/(w/((w**(1/5)/w)/w)))*w)/w)/w)**(-2/13))**(-5/2) assuming w is positive.
w**(14/13)
Simplify (k**1/k**4)/(k/((k**(-2/7)/k)/k*k))**(5/3) assuming k is positive.
k**(-143/21)
Simplify ((w/(w/((w**(-20)*w)/w)*w))/w)/w**(1/9) assuming w is positive.
w**(-199/9)
Simplify (h**0/h**4)/(h | {
"pile_set_name": "DM Mathematics"
} |
t i = 13513/6 - 2258. Find the common denominator of i and 333/(-108) - (-2)/8.
6
Let j(d) = d**2 - 4*d + 8. Suppose 4 = -4*x, 5*o - 4*x - 218 = -6*x. Calculate the lowest common multiple of j(6) and o.
220
Let s = -46595 - 4693. Let v = -3692609/72 - s. What is the common denominator of 38/27 and v?
216
Let x = 313 + -301. Let q(p) = 25*p - 58. Calculate the lowest common multiple of 10 and q(x).
1210
Let c = -153626 - -36716773/239. Let y = -4353/20554 + c. Find the common denominator of y and 59/14.
602
Suppose -3*l + 4*k = -168, 0*l + 112 = 2*l + 3*k. Let d = -42 + l. What is the least common multiple of 2 and d?
14
Let n(x) = 6*x - 6. Let q be n(3). Suppose 4 = f + q. Calculate the common denominator of 47/33 and f/28 - 785/168.
264
Let s = -61/336 + 34/21. Calculate the common denominator of -7 + (11544/(-96))/13*(-7)/10 and s.
80
Let l = 330 + -235. Let m be 3/(-4) - l/(-20). Suppose -m*g = -2*u - 30, -3*u = -u - 2. Calculate the smallest common multiple of g and 6.
24
Suppose 9 = 3*z - 0. Suppose -5*s - 20 = 0, -5*o - 236 = 2*s - z*s. What is the common denominator of 61/21 and (116/o)/(-5 + 4)?
84
Find the common denominator of ((-11459)/(-1274) - 9)*217/(-56) and -143/168.
4368
Let a = -8416 + 8608. Calculate the lowest common multiple of a and 64.
192
Let h = -6 + 29. Suppose -5*o + 44 = 3*f, -f + h = 3*o - 5. Let q(a) = -a**3 - 51*a**2 - 129*a - 3940. Calculate the smallest common multiple of q(-50) and o.
10
Let b(c) = -c**3 - 2*c**2 - 3*c + 1. Let y be b(-2). What is the common denominator of -4 + (-100)/(-32) - y and 85/56?
56
What is the common denominator of (-1)/6*13398/4988 and -21/43?
172
Let g be ((-3653)/(-7))/((-2052)/81). Let z = g - 20/133. What is the common denominator of z and -41/6?
12
Suppose 0 = -6*v + 94 + 14. Let o = 22 - v. Suppose 5*d = 11 + 89. What is the least common multiple of d and o?
20
Let c = 771569/13144560 - -1/74685. Calculate the common denominator of c and -151/336.
3696
Suppose 0 = -4*g + 39 - 3. Let q = -3026141/12 + 252167. Find the common denominator of 710/(-36)*g/(-30) and q.
12
Let y = 25105/57 - 1315/3. Let h = y + -669/760. Let w = 766/3 - 6017/24. Calculate the common denominator of h and w.
40
Suppose 7*k - 3*k - 4*x = 116, 0 = 4*x + 4. Find the common denominator of -93/22 and k/(-77)*321/24.
22
Let d = 316303/120 - 7910/3. What is the common denominator of 13/16 and d?
240
Let q(a) be the second derivative of 0 + 10*a - 3*a**2 - 5/3*a**3. What is the smallest common multiple of q(-2) and 8?
56
Let d = 5242/7 - 347099/462. What is the common denominator of -77/160 and d?
5280
Suppose 0 = 62*o - 52 - 1581 - 1777. What is the smallest common multiple of o and 1555?
17105
Find the common denominator of 49/8654 and (((-135)/441)/((-4)/7))/((-92)/161).
69232
Suppose 9*t - 45 = 4*t. Suppose -s + 47 = t. What is the common denominator of s*3/36 - 1/(-6) and -143/54?
54
Let d be (-12)/(-72) + 27580250/(-1586046). Let p = 1398/3433 - d. Let w = p - 168/11. Calculate the common denominator of 16/9 and w.
126
Suppose 10*l - 1137 = 1733. Suppose -l = -8*c + 361. What is the smallest common multiple of 108 and c?
324
Let s = -30596 + 1835803/60. Find the common denominator of -71/1410 and s.
2820
Suppose -5*l - 10 = -4*s + 22, 8 = s - 3*l. Calculate the smallest common multiple of (-10 - (-234)/(-27))*(-2 - 2 - -1) and s.
56
Suppose -5*o - 10 = 0, o = 5*v + 3*o - 121. Suppose p + u + 7 = 0, 3 = p + 4*u - 2. Let n = v + p. Calculate the lowest common multiple of n and 8.
56
Let a be (5 + -828)*33/24. Let n = a - -1137. Let k = 1024 + -38837/38. Find the common denominator of n and k.
152
Suppose 4*q - 44 = -4*k, -2*q + 0*k + 4*k + 40 = 0. Let r = 4457 - 4405. Calculate the smallest common multiple of r and q.
364
Let v = -113 + 32. Suppose 2*s + 165 = 3*a, -5*s - 355 = -0*a + 4*a. Let t = s - v. What is the lowest common multiple of 28 and t?
84
What is the smallest common multiple of 78 and ((-30)/6 - 151)/((-106)/159)?
234
Let v = -17/620936 + -59657077/1110233568. Let d = -1/596 - v. Let q = -89/18 + 265/9. Find the common denominator of q and d.
96
Suppose -5*p - 395 = -5*s, 73 = -0*s + s - 4*p. Let n = s + -84. Calculate the common denominator of 476/(-64) - (n - 2) and 19/18.
144
Let v = 60982 - 1951525/32. Let d = -84559/28 - -3024. Calculate the common denominator of v and d.
224
Suppose 0 = 19*f - 21*f - 12. Find the common denominator of (-58)/66 + 9 + f and 1 - -14*2/30.
165
Let j(v) = -15 - 274*v**2 - 41*v**2 + 14 + 0*v + v. Let p be j(1). Calculate the common denominator of 369/p*5/(-2) and 17/18.
126
Let h(r) = -3*r**2 - 29*r + 22. Let c = -772 - -762. What is the least common multiple of (228/(-16))/((-1)/4) and h(c)?
228
Let h(j) = -j - 1. Let l be h(-17). Suppose -88 = 12*w - l*w. Suppose 100 = 8*f - 44. Calculate the smallest common multiple of w and f.
198
Let f(m) = -11*m - 106. Let p be f(-10). Find the common denominator of 61/5 and 19/1995*234/p.
70
Calculate the common denominator of -2/39 and (37/(-24))/((-3120)/(-160)).
468
Let s(x) = -5*x - 1. Let q = 1 + -4. Suppose -9*i = 5*h - 10*i - 74, 4*h = -i + 52. What is the smallest common multiple of s(q) and h?
14
Suppose 6 = -4*b + 38. Let x(g) = -4*g + 53. Suppose -93 = -5*t + a, -3*t + a - 4*a = -45. What is the least common multiple of x(b) and t?
126
Let y = -1268592045287/5036 - -251904694. Let c = y - -2/1259. Let k = -23269/11 - -2119. Calculate the common denominator of k and c.
44
Suppose -64*b = -51*b - 208. Let j(h) = -2*h - 4*h + 4*h - 5*h + 11. What is the lowest common multiple of j(-7) and b?
240
Let l = -5710 - -114197/20. Calculate the common denominator of l and (-4)/6 + (-247)/(-348).
580
Let h(z) = 3*z - 11. Let y be h(4). Let f be (y - -2 - -3) + 0. Calculate the lowest common multiple of 0/1 + (8 - f) and 7.
14
Let b(v) = v**2 - 35*v + 64. Let i be b(33). Calculate the smallest common multiple of i*(-1)/11 - 3504/(-88) and 2.
40
Let s = 26863/6903 - 2/767. Let u = -2/2605595 + 3110559329/23450355. Let d = u - 626/5. What is the common denominator of s and d?
9
Let s = 735/16 - 11257/240. Find the common denominator of s and 72/(-102)*(-14)/20.
510
Suppose -5*o = -76 + 91. Calculate the common denominator of 87/536 and (-323)/(-30) - (-5)/o.
2680
Let d = 8 - -8. Let k(q) = -2*q**2 + 20*q + 54. Suppose -108 = -12*t + 3*t. Calculate the least common multiple of d and k(t).
48
Let l = -16023 - -1217803/76. Find the common denominator of 155/1026 and l.
2052
Let n be (-104444)/14*1/(-20). Let h = n - 2560/7. What is the common denominator of h and (-23)/(1/((-2)/3*(-21)/(-84)))?
30
Let n(h) = 3*h**2 - 5*h - 50. Let d = 214 - 208. Calculate the smallest common multiple of n(d) and 14.
28
Suppose 5 = i + 2*c, -i - 5*c + 17 = 3*i. Suppose 8*k = 4*k - 4, -3 = p + i*k. Let x = p - -2/21. Calculate the common denominator of x and 41/30.
210
Let p = -1083 + 1086. What is the lowest common multiple of p and (-2)/(-3)*9/2?
3
Suppose -c = -2*w + 4, 5 = -c + 3*w - 2. What is the common denominator of (-4)/38*(c - -6) and (1 + 12)*20/(-32)?
152
Find the common denominator of 4363/(-340) + (-2652)/(-204) and 37/50.
1700
Suppose q = -3*x + 24 + 668, -3*x - 9*q = -684. Calculate the least common multiple of 363 and x.
2541
Suppose 4*g + 16 = 5*o, -5*o + 5 - 13 = 2*g. Suppose o = 4*z - 19 + 15. Calculate the lowest common multiple of (-18 + 20)*(z + 1/2) and 6.
6
What is the common denominator of (-4428)/360 - 24/(-16) and 2/(-11) + (-1130)/(-44)?
10
Let v = 3079 + -3069. Suppose 2*u + 60 = 3*u. What is the smallest common multiple of v and u?
60
Suppose -16*b = -3*b - 24037. Suppose 3*n + b + 5673 = -4*g, 0 = -4*n - 4*g - 10024. Let q = 55031/22 + n. Find the common denominator of -143/18 and q.
198
Suppose u - 10 + 3 = 0. Find the common denominator of -36 + 41 + 16/(-5) and (15/u)/(16/280).
10
Let m = 34667/4 - 8828. Let y = m + 35481/220. Find the common denominator of -1/20 and y.
220
Suppose 53*t = 46*t + 560. Suppose -3*l = -11*r + 15*r - t, -5*l = -3*r - 114. What is the smallest common multiple of 27 and l?
216
Suppose -4*m = 3*a + 18, 19*a - 16*a - 12 = m. Calculate the smallest common multiple of a and 4451.
8902
Find the common denominator of ((-102)/(-176))/(199/796) and 24/11.
22
Let d = -20 - -4. Calcula | {
"pile_set_name": "DM Mathematics"
} |
emainder when p is divided by 34?
31
Let u(c) = -c**3 + 8*c**2 - 6*c + 17. Let w be u(7). Let q(r) = 11 + 4 - r**2 - w + 6 + 12*r. What is the remainder when 38 is divided by q(11)?
6
Suppose 0 = 3*w - 3 - 9. Suppose -4*y + w = -12. Suppose -y*t = -41 - 11. What is the remainder when t is divided by 8?
5
Let q(s) = 14*s - 18. Let b be q(2). Suppose 9*o - b*o = -2. Suppose 0 = -3*h + 3*p + 13 + 14, -10 = o*h + 5*p. Calculate the remainder when 31 is divided by h.
1
Let u(f) = -f**2 + 2*f - 2. Let a be u(-3). Let o = 29 + a. Let l = -6117 - -6176. What is the remainder when l is divided by o?
11
Suppose k + 554 = 3*z + 303, 171 = 2*z + 3*k. Calculate the remainder when 753 is divided by z.
81
Let i = -781 + 767. What is the remainder when 50*(8/i)/(470/(-329)) is divided by 11?
9
Let t = 4504 + -4069. Calculate the remainder when t is divided by 109.
108
Suppose -g - 2*a + 38 = 15, 0 = 5*g - 4*a - 143. Suppose -3*z + 165 = 4*s, g*s - 5*z = 23*s + 205. Calculate the remainder when 177 is divided by s.
42
Let r = 16571 - 15478. Calculate the remainder when r is divided by 378.
337
Suppose -5*y - 4*u = -1037, 126*y = 124*y + 5*u + 428. Calculate the remainder when y is divided by 53.
50
Let o = -3579 - -2223. Let m be 8/36 - (-1)/(27/o). Let d = 63 + m. Calculate the remainder when d is divided by 5.
3
Let k = -28614 - -28644. Suppose 3*g - 5*a - 20 = 0, 2*g - 3*a + 4*a = 9. Calculate the remainder when k is divided by g.
0
Suppose -3*s - 61 = -70. Suppose -f = -s*y + 145, -3*y + 2*f - 7*f + 175 = 0. What is the remainder when y is divided by 16?
2
Suppose -9*t + 388 = 361. Let p(s) = -s**2 - 5*s - 6. Let w be p(-6). What is the remainder when 147 is divided by t/(w/(-164)) - 4?
36
Let x(t) be the third derivative of 0*t - 1/2*t**3 + 5/12*t**4 + 1/60*t**5 - 20*t**2 + 0. Calculate the remainder when 30 is divided by x(-12).
9
What is the remainder when ((-15336)/(-9) - 3) + 4 is divided by 18?
13
Let g = 210 - -6. Suppose g + 114 = 10*t. Calculate the remainder when 80 is divided by t.
14
Suppose 77*x = 151 - 74. Calculate the remainder when 185 is divided by x.
0
Let r(d) = 2*d**2 - 23*d. Let p(m) = 3*m**2 - 15*m + 17. What is the remainder when p(10) is divided by r(12)?
11
Let c(u) = 7*u**2 - 68*u - 172. Calculate the remainder when c(17) is divided by 170.
15
Suppose 45*i + 42*i - 21*i = 1716. What is the remainder when 510 is divided by i?
16
Let s = -5405 - -5443. Calculate the remainder when 1319 is divided by s.
27
Let a be (-4)/6 + 4/6. Suppose a = -0*r - 2*r - 5*s + 37, -5*r = 3*s - 64. What is the remainder when (-1)/((-7)/644) - -6 is divided by r?
10
Let j = -512 - -780. Calculate the remainder when j is divided by 30.
28
Suppose -466 + 154 = -24*n. Suppose -11*q - 60 = -n*q. What is the remainder when (178/(-4) + 1)*-2 is divided by q?
27
Let z(t) = 104*t + 5. What is the remainder when z(1) is divided by 40?
29
Let u = -1 - -27. What is the remainder when 57 is divided by u?
5
Let l(r) = -r - 2. Suppose 0 = -5*a + 2 + 18. Suppose p - a = -13. What is the remainder when 19 is divided by l(p)?
5
Suppose 3650 = 5*b + w + 4*w, 2*b - 1460 = 4*w. Let s = b - 718. Calculate the remainder when 40 is divided by s.
4
Suppose -4*b + 4 = 4*j, 0 = 15*j - 16*j - 4. Let g(n) = n**3 + 10*n - 10. What is the remainder when g(b) is divided by 24?
21
Suppose -15 = 6*q + 3. What is the remainder when (q + 9)/(27/99) is divided by 4?
2
Let y(l) = 2*l**2 - 49*l - 42. Let k be y(19). Let i = -84 - k. Calculate the remainder when i is divided by 34.
31
Let a = 13702 + -13647. What is the remainder when 1869 is divided by a?
54
Suppose -3*i + 4546 = 45*l - 50*l, -1510 = -i - l. Calculate the remainder when i is divided by 51.
33
Suppose -13*f = 566 - 2191. What is the remainder when f is divided by 6?
5
Suppose 4*j + 4*c + 12 = 0, 0 = j + 11*c - 6*c + 23. Suppose 3*g - 68 = -p + 6, j*p - 48 = -2*g. What is the remainder when 274 is divided by g?
24
Let k(x) = 3*x**2 - 626. What is the remainder when k(-22) is divided by 64?
58
Suppose 4*m + d = -24, 5*d = 5*m - 6*m - 25. Calculate the remainder when 38 is divided by 39*((-2)/9 - m/9).
12
Suppose 26*d - 555 = 906 + 229. Suppose 5*t - 229 - 1706 = 0. What is the remainder when t is divided by d?
62
Suppose -8 = -4*q + 12. Let b(w) be the third derivative of 7*w**4/24 + 7*w**3/6 - 3*w**2 - 9. What is the remainder when 122 is divided by b(q)?
38
Let m = 17231 + -13605. Calculate the remainder when m is divided by 39.
38
Let m be 2 + 16/(-7) - 443/(-7). Suppose 102 = -60*f + m*f. Calculate the remainder when f is divided by 17.
0
Suppose -6*c + 85 = -239. Suppose 865*n = 859*n + c. What is the remainder when 24 is divided by n?
6
Let k = 903 + -593. What is the remainder when k is divided by 13?
11
Let k(g) = -2*g**2 + 31*g + 3. Suppose -i + 2*i + 23 = 0. Let b = 11 - i. Calculate the remainder when b is divided by k(0).
1
Suppose 63*g - 62*g = -2*a + 61, -g = 1. What is the remainder when 67 is divided by a?
5
Let n = -18098 - -18771. What is the remainder when n is divided by 174?
151
Suppose -2*t - 385 - 777 = -4*y, 5*y = 4*t + 1463. Calculate the remainder when 639 is divided by y.
65
Calculate the remainder when 2806 is divided by (312/3)/((0 - (-2)/1)/2).
102
Let n be (6 + -2)/4 + 0. Let a be (16 - 17) + 1*9/n. Suppose 0 = 6*q - a*q + 32. What is the remainder when 27 is divided by q?
11
Let p(u) = u**3 - 22*u**2 + 9*u - 169. Let o(r) = 3*r + 67. Let t be o(-15). Calculate the remainder when 53 is divided by p(t).
24
Suppose 3*x - 39 - 180 = 0. Suppose 0 = -12994*d + 12433*d + 83206 + 39092. What is the remainder when d is divided by x?
72
Let r(v) = v**2 + 38*v + 379. What is the remainder when 27 is divided by r(-21)?
5
Suppose -2140*k + 2105*k + 33565 = 0. Calculate the remainder when k is divided by 251.
206
Let t = 141 + -107. Suppose 21*k + t = 23*k. What is the remainder when 115 is divided by k?
13
Suppose 4*z = -i - 6, -3*z - 2*i - 9 = -2. Let o = 1203050 - 1202817. Calculate the remainder when o is divided by (z + (1 - 1))*-47.
45
Let j = 8 - 1. Let x be (1 - 2)/((-46)/24 - -2). Let i(h) = -3*h - 32. What is the remainder when j is divided by i(x)?
3
Let v(j) = j**3 - 23*j**2 + 23*j + 504. Calculate the remainder when 431 is divided by v(21).
11
Suppose -10*v + 24 = -6*v. Let b(q) = 7*q + 32 - v*q - 4. Calculate the remainder when 50 is divided by b(-15).
11
Let d = 91 + -14. Let x = 479 + -291. Suppose x = 17*p - 84. What is the remainder when d is divided by p?
13
Let l be (-4)/22 - 92/(-22). Suppose 3*m - 4*m = -l, -x + m + 8 = 0. What is the remainder when 68 is divided by x?
8
Let n = -199 - -201. Suppose 2*i = -4*o + 98, -2*o - 6*i = -n*i - 40. Calculate the remainder when o is divided by (2/2)/((-1)/(-9)).
8
Suppose 5*x - 4*k - 310 = 0, -5*x - 20*k + 18*k + 310 = 0. Let v = -20 + 37. Calculate the remainder when x is divided by v.
11
Let p(o) = 3*o**2 + 266*o + 6408. Suppose -183 = -n - 2*n. What is the remainder when p(-41) is divided by n?
57
Let f = 3268 - 2915. Calculate the remainder when 354 is divided by f.
1
Suppose -2*r - 36*r + 506 = -558. Let o be ((-21)/6)/(1/(-46)). Suppose -5*d - 165 = -2*w, d + o = 2*w - 0*d. What is the remainder when w is divided by r?
24
Let f = 63 - -6. Suppose 3*b + 2*v = 20, 4*b - 26 = 262*v - 265*v. What is the remainder when f is divided by b?
5
Suppose -3*u - 1 + 22 = 0. Suppose u*r = 43 - 8. Calculate the remainder when 54 is divided by r.
4
Let n(c) = -23*c - 138. Let f be n(-6). Suppose f = 6*y - 5*y - 28. Calculate the remainder when 83 is divided by y.
27
Let h be 16/(-6)*(5 + 78/(-12)). Let m(f) = f + h*f + 7 - f + 15. Calculate the remainder when m(7) is divided by 14.
8
Let r(f) = -2*f**3 + 11*f**2 - 41*f + 216. What is the remainder when 367 is divided by r(5)?
7
Suppose 2*m = 4*k + 184, -3*m + 276 = -k - 4*k. Let q = 104 - m. Calculate the remainder when 35 is divided by q.
11
Suppose 2*u - 204 = 3*t, -1074*t + 12 = -1071*t. Calculate the remainder when 15875 is divided by u.
107
Suppose 0 = -4*l - 4*x + 8, 10*l - 7*l = -5*x. What is the remainder when 108 is divided by l?
3
Suppose 3*d + 6*d = 495. Let a = 15 - d. Let n = a - -105. Calculate the remainder when n is divided by 33.
32
Let t(b) be the first derivative of -5*b**3/3 + 36*b | {
"pile_set_name": "DM Mathematics"
} |
s the units digit of n?
6
Let s(p) = -2*p - 3*p**3 - 1604*p**2 + 2*p**3 + 11 + 1600*p**2 + 11. What is the tens digit of s(-6)?
0
Suppose -10*x - t - 6 = -12*x, 0 = 4*x - 4*t - 12. Suppose x*q - 1363 = 1520. What is the hundreds digit of q?
9
Suppose -2 + 5 = -5*u - 3*i, -2*i = 2. Suppose u = 2*b + 2*b + 24. What is the tens digit of ((-38)/3)/(1/b)?
7
Let v = -17 + 25. Suppose -h - 4*c + 3*c - v = 0, -3*c - 9 = 0. What is the units digit of (50/h - -5) + 165?
0
Let d(a) = 2*a**2 - 14*a + 12. Let z be d(10). Let j = z + -74. What is the tens digit of 2*j/(5/((-215)/4))?
4
Let g be (84/168)/(1 - 3/2). Let x(w) = -9*w + 5. Let j(h) = -h - 1. Let d(c) = g*x(c) + 2*j(c). What is the units digit of d(4)?
1
Suppose 4*w + 1554 = 5362. Let h = w - 363. What is the tens digit of h?
8
Suppose -5*j = 2*z - 24550, -20*j = z - 17*j - 12273. What is the tens digit of z?
8
Suppose 5*f - 74775 = -5*v, 4*f - 158*v - 59824 = -163*v. What is the ten thousands digit of f?
1
What is the tens digit of 41/(533/78) + 6237?
4
Let o(f) = 8*f**2 - 9*f + 9. Let d be o(5). Suppose 5*c - 132 = -w, 2*w - 88 - d = 2*c. What is the hundreds digit of w?
1
Let z(c) = 2*c**2 + 3*c + 9. Let f be z(-6). Let i = f + -112. What is the units digit of (-16)/48 + i/(-3)?
6
Let n = -14 + 6. Let x be (-4 - n) + 5 + -5. What is the tens digit of (-3 + (-4)/x)*-16?
6
Let z(i) = 7*i**2 - 81*i - 335. What is the thousands digit of z(102)?
4
Let a = 19 + -25. Let b(s) = -5*s**3 - 7*s**2 + 20*s - 4. What is the units digit of b(a)?
4
Let a(g) = g**2 - 7*g + 11. Let i be a(6). Suppose -h - 3*s = 103, i*h + s - 3*s = -447. Let t = -57 - h. What is the tens digit of t?
3
Suppose -4*c - 34196 = -1273*a + 1269*a, 5*c = 4*a - 34202. What is the thousands digit of a?
8
What is the hundreds digit of ((-34)/(-3))/((-25)/(-300))?
1
Let k = 17 - 8. Let b be (k - 9)/(1*2). Suppose 0*g - 3*g = 3*r - 279, -2*g - 5*r + 198 = b. What is the tens digit of g?
8
Let h be 266 + 0/(-1) + -1. Suppose 0 = -5*a - 2*x - 439, 5*a + x = 4*a - 89. Let b = a + h. What is the tens digit of b?
7
Suppose -197097 = -22*b - 6159. What is the thousands digit of b?
8
Suppose 24 = 22*a - 18*a. Let i be (17 + -18)/((-2)/a). Suppose 5*f - i*b = 301, -9 = -5*b + 2*b. What is the tens digit of f?
6
Suppose -5*j - 99 = -4*p - 2*j, -3*p - 2*j + 53 = 0. Let g be -1 + -1 + 0/p. What is the tens digit of g/(-8) + 1452/16?
9
Suppose 3 + 1 = -2*l, 0 = -5*j - l + 6788. Suppose -5*b + 0*r + j = -2*r, 5*b + 2*r - 1342 = 0. What is the units digit of b?
0
Suppose -32055 - 61211 = -14*g + 12532. What is the hundreds digit of g?
5
What is the thousands digit of ((-8592)/(-9) - 10)*12?
1
What is the hundreds digit of -11 + 13 - (-5 + -4165)?
1
Let p(m) = 29*m - 108. Let k(i) = 10*i - 36. Let s(y) = 8*k(y) - 3*p(y). Let l(v) = v. Let x(z) = 4*l(z) + s(z). What is the units digit of x(9)?
9
Let s = -628 + 804. Suppose -h = -3*n + 777 - s, -5*n = 2*h - 1009. What is the units digit of n?
1
Let s(j) = 6*j**2 - 12*j + 7. Let m be s(3). Let o = m - -347. What is the units digit of o?
2
Let x(f) = -12*f + 10 + 24 - 4*f. Let l be x(8). Let v = l - -171. What is the units digit of v?
7
Suppose -319 = i + 307. Let z = 210 - i. What is the units digit of z?
6
What is the units digit of ((-180)/(-8))/(-15)*(-40 + 2)?
7
Let h be -6 + (-1288)/(-10) + 1/5. Let z be (h*2)/(-7 - (-119)/14). Suppose -z = -r + 34. What is the units digit of r?
8
Let z(j) = 43*j + 28. Let u(f) = -42*f - 29. Let w(l) = -4*u(l) - 5*z(l). What is the hundreds digit of w(-14)?
6
Let a(w) = -w**2 - 140*w + 509. What is the units digit of a(-100)?
9
Suppose -110*w = -109*w + 4*m - 21840, -2*m - 16 = 0. What is the tens digit of w?
7
Suppose -141 = -y + 7*w - 5*w, -285 = -2*y + 3*w. Suppose 3*q + 366 = -q + 5*n, -5*n - 10 = 0. Let x = y + q. What is the tens digit of x?
5
Let z = 67 + -66. Let v(h) = 5*h + 2*h**2 + z + 1 + 10. What is the units digit of v(-5)?
7
What is the tens digit of 8033 + (90/240 - 86/16 - -2)?
3
Suppose 5*j = -5*u + 40, 3*u - 4 - 8 = 3*j. Let b = 695 - 692. Suppose b*t = -u*t + 144. What is the units digit of t?
6
Suppose -51*c - 199689 + 924195 = 0. What is the ten thousands digit of c?
1
Let w be ((-1480)/(-111))/((-2)/(-3)). Suppose -12*n + w*n - 1512 = 0. What is the units digit of n?
9
Let n(w) = -3*w + 19. Let d be n(5). Suppose 2*s - d = -86. Let o = 123 - s. What is the units digit of o?
4
Let s(j) = 6*j**2 - 13*j - 43. Let p be s(-24). Suppose 302 - p = -7*a. What is the units digit of a?
9
Suppose -8*c + 3*c + 110 = -4*g, 0 = 3*g + 5*c + 65. What is the tens digit of (164/5)/((-10)/g) + 3?
8
Let j = -755 - -12269. What is the hundreds digit of j?
5
Let w(t) = -3*t - 61. Let p be w(-22). Suppose -a = p*n - 70, 0 = -3*n + 4*a + 45 + 20. Suppose -18*j = -n*j - 204. What is the units digit of j?
8
Suppose 17 = 7*a - 25. Suppose 0 = -a*r + 4*r + 2*n - 2, 6 = 2*r + 2*n. Suppose -4*p + 276 = j + 3*j, 0 = j - r. What is the units digit of p?
8
Let g(k) = 6040*k - 75. What is the ten thousands digit of g(2)?
1
Suppose 0 = q + 5*p - 24632, 144*p - 147*p - 123272 = -5*q. What is the hundreds digit of q?
6
Let m(r) = -7*r + 136. Let g be m(19). Suppose -2009 - 1243 = -g*i + q, 5*i + 5*q = 5440. What is the thousands digit of i?
1
Let y = 36946 - 22436. What is the units digit of y?
0
Suppose -24*b = 2*z - 25*b - 14127, 0 = 5*z + 2*b - 35331. What is the hundreds digit of z?
0
Let n be (-2)/(-4)*2 - 58. Let b = -68 - n. What is the hundreds digit of 214 + b - 2*2/4?
2
Suppose 16638*y + 1242339 = 16659*y. What is the units digit of y?
9
Let j(i) be the first derivative of -i**4/12 - i**3/6 + 27*i**2/2 + 12*i - 14. Let a(u) be the first derivative of j(u). What is the units digit of a(0)?
7
Let b = 13220 - 22700. What is the thousands digit of ((60/25)/(-6))/(3/b)?
1
Let s(u) be the second derivative of u**5/20 - 5*u**4/12 + u**3/2 - 9*u**2 - 6*u. Let f be s(7). Let w = f + -19. What is the units digit of w?
2
Let k(p) be the second derivative of -p**5/20 + 5*p**4/6 + p**3/3 + 33*p**2/2 + 5*p. Let t be k(10). What is the tens digit of t/(3/3 - 0)?
5
Suppose -5*a - 4*u = -6107 - 74672, -4*a + 5*u = -64574. What is the units digit of a?
1
Suppose 5*y - 2*v - 18 = 0, 2*y - 12 = -v - 3. What is the units digit of (-3)/((y/(-34))/(3060/54))?
5
What is the ten thousands digit of (-97)/(((-208)/(-8336))/(-13))?
5
Suppose -32*b - 3643 = -34*b - 3*m, -5432 = -3*b + 2*m. Let d = b - 739. What is the hundreds digit of d?
0
Let k = 109 - 103. Let j be -4 - (k/27 + 370/(-45)). Suppose 0 = 15*c - j*c - 1672. What is the hundreds digit of c?
1
Let y(f) = f**3 - 36*f**2 - 19*f + 88. Let a(n) = -3*n**2 - 78*n - 38. Let t be a(-25). What is the hundreds digit of y(t)?
7
What is the thousands digit of (-29243)/(-7) + -26 + (-185)/(-7)?
4
Suppose -27*o - 318873 = -898678 - 739091. What is the units digit of o?
8
Let p(j) = -2*j**2 + 23*j - 57. Let q(x) = -8*x**2 + 92*x - 226. Let b(h) = -9*p(h) + 2*q(h). What is the tens digit of b(22)?
2
Let b = 28 + -24. Suppose -b*m + 0*w = 5*w - 1437, -2*m + 5*w = -711. What is the hundreds digit of m?
3
Suppose 0 = -18*q - 49934 + 170156. What is the thousands digit of q?
6
Suppose -1905 + 253 = 4*r. Suppose -2*w = 3*n + 679, -5*n - 1105 = -4*w + 2*w. Let l = n - r. What is the hundreds digit of l?
1
Let v(y) = -1319*y - 6804. What is the units digit of v(-8)?
8
Suppose 0 = 8*d - 115 - 45. Let y be (-2 - 196/(-10)) + 8/d. Suppose 2*f - y = 276. What is the units digit of f?
7
What is the hundreds digit of (-15)/12 - (591716/16)/(-29)?
2
What is the hundreds digit of 1830/366 + 4073 + 1?
0
What is the units digit of ((0 - 7386) + 11)*15/(-15)?
5
Let h = -106 + 329. Let j = 148 + h. What is the units digit of j?
1
Let s(y) be the third derivative of -y**5/60 + 7*y**4/12 + 19*y**3/6 - 15*y**2. Let g be s(9). Suppose -7*o = -3*o - g. What is the units digit of o?
6
Let r(y) = -22*y + 7. Suppose -9*s - 44 = -5*s. Let p be r(s). Suppose -9*l + 6*l = -p. What is the units digit of l?
3
Let q = 5049 - -14434. What is the thousands digit of q?
9
Let a(d) be the third derivative of d**6/40 + d**5/60 - d**4/24 + 28*d**2. Let f be a(1). What is the tens digit of (-34)/51 + 143/f?
4
Let r = -1916 + -7238. What is the hundreds digit of r/(-22) - (374/121 - 3)?
4 | {
"pile_set_name": "DM Mathematics"
} |
= -3*b. Suppose 4*r - 19 - 41 = b. What is the remainder when 44 is divided by r?
14
Let x be (-1 + -3)*243/(-4). Let k be x - (-1 - (2 - 2)). Suppose i + 4*r - 54 - 7 = 0, 4*i + r - k = 0. What is the remainder when i is divided by 21?
19
Let o be (-94)/10 + 8/20. What is the remainder when 39/9 - 6/o is divided by 2?
1
Suppose -d + 6*d = 475. Suppose -h + 3 = -21. Calculate the remainder when d is divided by h.
23
Suppose -3*l - 2*l + 287 = j, 0 = -4*l + 5*j + 218. What is the remainder when l is divided by 12?
9
Let n(p) = 11*p + 22. Calculate the remainder when n(11) is divided by 36.
35
Let h be (-2 - (1 - 2))*-1. Suppose -4*a = -9 + h. Suppose 2*x - a*j - 58 = 0, 0*x - x - 5*j - 1 = 0. Calculate the remainder when x is divided by 13.
11
Let k(w) = -4*w**2 - 6*w. Let m be k(-4). Let g = m - -79. Calculate the remainder when g is divided by 14.
11
Calculate the remainder when 14 - (0 + (1 - 1)) is divided by (4 + -6)/(1/(-2)).
2
Let l(d) = -d**3 + 5*d**2 + 5*d - 7. Suppose 19 = -5*g + 69. Calculate the remainder when l(5) is divided by g.
8
Let s be 311 - (-3)/(6/8). Suppose 0 = 27*v - 22*v - s. What is the remainder when v is divided by 22?
19
Suppose 0 = 2*l - k - 60, 3*l - 3*k = 8 + 85. Let u = 46 - l. Calculate the remainder when 65 is divided by u.
14
Suppose -5*t = -0*s - s + 22, 2*s = -4*t + 58. What is the remainder when s is divided by 7?
6
Let x(r) = r**2 - 3*r - 3. Let y = 87 + -81. What is the remainder when x(-3) is divided by y?
3
Let g(r) = -r**3 - 5*r**2 - 6*r + 7. Calculate the remainder when g(-6) is divided by 27.
25
Let h be ((-2)/(-6))/((-2)/6). Calculate the remainder when 17 is divided by (h*30/(-3))/1.
7
Let r(h) = -21*h**3 + 3*h + 2. What is the remainder when 77 is divided by r(-1)?
17
Let t(f) = 6*f**2 - 4*f + 13. What is the remainder when t(3) is divided by 19?
17
Let t = 25 + -16. Let f be (-3)/(2*2/(-8)). Let p(m) = m**2 - 4*m + 4. Calculate the remainder when p(f) is divided by t.
7
Suppose -3*p + 49 = 5*z - 87, -5*z + 133 = 4*p. Calculate the remainder when z is divided by 16.
13
Suppose -l - 2*i - 2*i = 14, -4*l - 5 = -i. What is the remainder when 94 is divided by 6/l + (-105)/(-3)?
30
Let i be (-1)/(-1 - 2/(-3)). Suppose i*v - 18 = -3. Let d = 16 - v. Calculate the remainder when 31 is divided by d.
9
Let t = -159 + 183. Calculate the remainder when 68 is divided by t.
20
Suppose -y - 140 = -6*y. Let f = 12 - 8. What is the remainder when y is divided by (-34)/(-4) - (-6)/f?
8
Suppose -12*i + 1290 = -2*i. What is the remainder when i is divided by 33?
30
Calculate the remainder when 179 is divided by ((-20)/(-24))/((-4)/(-12))*18.
44
Suppose 5 = -2*i + 1. Let y(c) = 22*c**2 - c + 2. What is the remainder when y(i) is divided by 31?
30
Suppose 2*o - 69 + 13 = -g, 5 = -5*o. Suppose 2*j - g = -4*p, 0*p - p = 3*j - 62. What is the remainder when j is divided by 11?
8
Let q(v) be the second derivative of 2*v**3/3 - 7*v**2/2 - 3*v. What is the remainder when 33 is divided by q(6)?
16
Suppose -4*l + 87 = 2*r - 17, -48 = -r - 3*l. What is the remainder when r is divided by 21?
18
Let w = 28 + -9. Suppose -181 + w = -3*m. Let x = m + -37. Calculate the remainder when x is divided by 10.
7
Let x be (0 - -4)*1/(-2). Let b(k) = k**3 + k**2 - 2*k. Let d be b(x). Let c = d - -4. What is the remainder when 7 is divided by c?
3
Let m(h) = -h**3 + 5*h**2 - 3*h - 4. What is the remainder when 8 is divided by m(3)?
3
Let a(p) = -5*p - 3. Let k = -14 - -18. Suppose -r = -u - 12 + 49, 138 = k*u + r. What is the remainder when u is divided by a(-3)?
11
Let v(u) = u + 8. Let j be v(-9). Let q be j/2*(0 - 0). Suppose q*w - 32 = -2*w. What is the remainder when w is divided by 9?
7
Let l(q) = -1 + 0*q + 0*q - 5*q**3 + q**2. Let o(c) = c**3 - 19*c**2 + 20*c - 37. Let i be o(18). Calculate the remainder when 12 is divided by l(i).
2
Let c(p) = -p**3 + 11*p**2 + 9. Calculate the remainder when c(11) is divided by 6.
3
Let n(r) = r + 4*r**2 + 0*r - 2*r**3 + r**3 + 2*r. Suppose 1 = -5*c + 21, 5*y - 2 = -3*c. Calculate the remainder when 34 is divided by n(y).
16
Suppose 2*g - 7 = -3*d, 0*g - d = -g + 1. Let j = 1 - -4. Suppose -3*m - 6 = j*w + 1, -12 = 3*m. Calculate the remainder when g is divided by w.
0
Let u(f) = f**3 + 6*f**2 - 11*f - 9. What is the remainder when u(-7) is divided by 6?
1
Suppose -6*g = -g - 55. Suppose 2*f = -2*v - 0 - 4, 0 = 3*f + 15. Calculate the remainder when g is divided by v.
2
Suppose -6*c = -455 + 131. Calculate the remainder when c is divided by 14.
12
Suppose 0 = 5*m + 2*c + 3*c + 45, -4*m = c + 24. Let d = 9 - 4. What is the remainder when d is divided by (-4)/(-1)*(-4 - m)?
1
Let j(u) = u**3 + 10*u**2 + 4. Suppose 0 = 3*y + 5*q + 5, -4*y - 51 + 6 = -q. Let k be j(y). Let d = 13 + k. What is the remainder when 49 is divided by d?
15
Suppose 0 + 6 = 2*p. Suppose -u + 80 = 5*m - 0*m, p*m = -2*u + 48. What is the remainder when 30 is divided by m?
14
Let k(x) = -2*x + 79. What is the remainder when k(16) is divided by 8?
7
Let d = -19 - -27. Let v(m) = -23*m**3 + m**2 + 2*m + 1. What is the remainder when v(-1) is divided by (-49)/(-4) - 2/d?
11
Let f(q) = q**3 + q**2 - 1. Let r(w) = -7*w**3 - 12*w**2 + 3*w + 2. Let y(t) = -6*f(t) - r(t). What is the remainder when 42 is divided by y(-6)?
20
Suppose 0*x - 30 = -3*x. Suppose 0 = 6*f - f - x. What is the remainder when (f/(-4))/(3/(-66)) is divided by 3?
2
Suppose 3*p - 45 = 4*l + l, 4*p + l = 83. Suppose -3*u + 3*n + 27 = 9, 4*n = p. Calculate the remainder when 32 is divided by u.
10
Suppose -n + 7 = -0. Calculate the remainder when 6/(-36) - (-302)/12 is divided by n.
4
Let c = -9 + 13. What is the remainder when c is divided by 3?
1
Suppose -2*x = -x - 15. Calculate the remainder when 41 is divided by x.
11
Let l(x) = -x**2 - 2*x - 16. Let o be l(0). Let r = o - -27. What is the remainder when 31 is divided by r?
9
Suppose 0 = 2*j + 3*j - 20. Suppose 2*s = -v + 99, -3*v = 5*s - j*v - 251. Let g = 21 - 4. Calculate the remainder when s is divided by g.
16
Let w(z) = 3*z**2 + 15*z. What is the remainder when w(-6) is divided by 5?
3
Suppose 0*j = -j + 53. Let y = 49 - 35. What is the remainder when j is divided by y?
11
Let g(x) = -x**3 + x**2 - 2*x + 9. What is the remainder when g(-4) is divided by 10?
7
Let d be 90/4 + (-2)/(-4). What is the remainder when 46 is divided by 2 + d + (-2)/2?
22
Suppose -4*u - 4*g - 1 + 13 = 0, -5*u = 4*g - 19. Let q = 1 - -1. Suppose 28 + 10 = q*t. What is the remainder when t is divided by u?
5
Let d(n) = 8*n**2 + 2. Let w be (18/(-8))/((-9)/24). Suppose 2*l = -2*j + 30, 2*j - w*j = 5*l - 72. What is the remainder when d(-2) is divided by l?
10
Suppose -3*d + 30 = -d. Suppose 16*g = 5*g + 473. Calculate the remainder when g is divided by d.
13
Let t(r) = -r**3 + 9*r**2 - 8*r - 8. Let w = 25 - 15. Suppose 2*z = w + 14. Calculate the remainder when t(7) is divided by z.
10
Let r(l) = l**3 + 13*l**2 + 11*l - 4. Let n be r(-12). Calculate the remainder when n + 4 + (-4)/(-2) is divided by 3.
2
Suppose 0 = -g + 4*g - 45. Suppose -3*q = -8*q + g. Calculate the remainder when 25 is divided by (-2)/(-6) - (-26)/q.
7
Let w = -34 - -47. Suppose 3*k - 570 = -2*k. Suppose -2*l + k = 3*p - l, -5*p + 3*l = -190. What is the remainder when p is divided by w?
12
Let b = 11 + -9. Suppose -d = -4*h - b, 38 = 3*d - 7*h + 3*h. Calculate the remainder when 70 is divided by d.
16
Suppose -2*v + 55 - 1 = 0. What is the remainder when 80 is divided by v?
26
Let r be (5 + -6)/((-2)/(-10)). Let w be ((-4)/10)/(1/r). Calculate the remainder when w + 16 + 1/1 is divided by 7.
5
Let y(a) = a**2 - 2*a - 1. Let n be y(3). Suppose -92 = -2*g - 4*b, -3*b - n*b = -5. What is the remainder when g is divided by 15?
14
Suppose 16 = -4*h, d - 4 = -0*d + 3*h. Let m = -1 - d. Let t = 30 - 17. Calculate the remainder when t is divided by m.
6
Let y(r) = -71*r**3 + 2*r**2 - 1. What is the remainder when y(-1) is divided by 25?
22
Suppose 5*n = 4*r - 146, -4*n - n = 3*r + 153. Suppose 4*z - 4 = -3*c + 114, 5*z + 136 = 3*c. Let l = n + c. Calculate the remainder when 23 is divided by l.
11
Suppose -5*w = -5*l + 90, -2*l - 5*w + 4 = 3. What is the remainder when l is divided by 7?
6
Suppose -27 = -5*f - 4*f. What is the remainder when 16 is divided by f?
1
| {
"pile_set_name": "DM Mathematics"
} |
46093/2772)
Simplify ((z**(1/2)/z**(4/3))/(z/(z*z**(4/5))*z*z**(-2/5)))/((z**0*z)/z**(-2/19)*z**2*z**(2/5)) assuming z is positive.
z**(-2359/570)
Simplify ((((f**(-33)*f)/f*f)/(f**(-18)*f))/((f/(f*f/(f*f**(11/5)*f)))/f*f**(3/25)))**(-29) assuming f is positive.
f**(12557/25)
Simplify ((t/(t**(-3)/t))/(t/t**(-14)))**(-8)*((t**(-1/7))**(2/17))**34 assuming t is positive.
t**(556/7)
Simplify (((r*r*r**(-1))/r)**(-3)*r**(-2/7)/r**(2/5))/((r*r/r**7*r*r**(2/9)*r)/(r**7/r*r*r**7)) assuming r is positive.
r**(5069/315)
Simplify (((u**(-4/5)/(u**(2/11)*u))/(u/(u/(u/u**(-3/8)))*u/u**(-1/3)))**(-3/7))**45 assuming u is positive.
u**(55719/616)
Simplify ((h**(14/9)/h)/((h*h**(-12/7))/h)*(h**6/h)**(4/31))**(16/5) assuming h is positive.
h**(91088/9765)
Simplify (((c/c**(-2/5))/c)**8/(c*c**1*(((c*c*c*c**(1/3)*c)/c)/c)/c))/(c**(-2)*(c/(c**(-3)/c*c)*c)/c)**10 assuming c is positive.
c**(-302/15)
Simplify ((u*u/(u*u*u**(-2/67)*u))**41/(((u**(9/5)/u)/u)/(u*u**(-2/9)/u*u*u)))**(-3/2) assuming u is positive.
u**(56981/1005)
Simplify (((y*y/(y**5*y))/y)/(y/y**(-2)))**(-31/2)*((y**(-1))**1)**35 assuming y is positive.
y**89
Simplify ((n/(n/n**12))/n**(-2/43))**(-22)/(n*(n*n/n**(-4/3))/n*n*n*n**(-10)*n)**(-9) assuming n is positive.
n**(-12815/43)
Simplify (k*k**3*k**(-5))/(k*k/k**0)**(-3/29)*((((k*k/k**(-2/17)*k)/k)/k)**8)**(-8/3) assuming k is positive.
k**(-36437/1479)
Simplify ((q**7*q*(q*q**(-1/7))/q*q)/(q**(2/9)*q**(-6)))**(12/11) assuming q is positive.
q**(3688/231)
Simplify (v**10/v)**(-47)/(v**(-1)*v**(2/39)) assuming v is positive.
v**(-16460/39)
Simplify ((((z**0/z)/z)/z*z*z)**(-14)*z**6/((z*z**(-2/5))/z))/((z*z*z*z*z**6*z*z*z/(z*z**(-2)))/(z*z**7*z/((z*z*z**(-4)*z)/z*z)*z)) assuming z is positive.
z**(87/5)
Simplify ((c*c**(2/35)/c*c*c**42)/(c**(-5/8)*c*c/c**4))**(-13) assuming c is positive.
c**(-166283/280)
Simplify (c**(-2/55)*c**(-6/25))/(c**15)**24 assuming c is positive.
c**(-99076/275)
Simplify ((g*g/(g**(-1)*g)*g*g)/g)**(-2/67)/(g/(g*g**(1/7))*(g*g**(-3/4)*g*g)/g)*(g**1)**(1/3)*(g**(-2)*g)/(g*g**(-2/13)*g) assuming g is positive.
g**(-271403/73164)
Simplify (v**(-4)/(v/v**(2/7))*v**1*v/v**(1/2))/((((v/(v/(v*v*v**4/v)*v))/v)/v**6)/(v**(-2/9))**(-19/2)) assuming v is positive.
v**(239/126)
Simplify (a/(a/(a/(a/(a/a**(-1/3))))))**(-2/79)*(a*a**(-7)*a)/(a*a**(-6/7)/a)*(a**7*(a**(-11)*a)/a)**(-49) assuming a is positive.
a**(318235/1659)
Simplify ((w/(w**(41/3)/w))**(7/4)/(w**31*w**(-11/2)))**(5/2) assuming w is positive.
w**(-2755/24)
Simplify ((((d*d**(-1))/d*d*d**(-1)*d)/(d/(d*((((d*d/d**0*d*d*d)/d)/d)/d)/d*d))**(-1/9))**(-5))**(-40) assuming d is positive.
d**(-400/9)
Simplify ((t*t/(t/(t**(2/63)/t*t)))/(t/t**(-21)*t)*t*t**(-21)*t**14)**(-20/9) assuming t is positive.
t**(35240/567)
Simplify ((l**(2/3)*l)**(-3/20)*l**(-4)/(l**(-5)*l))/((l/l**(-5))/(l**(1/8)*l)*l/(l*l**(4/9))*l*l*l**(3/8)*l*l) assuming l is positive.
l**(-163/18)
Simplify ((f*f*f*f**(-15/8))/f**11)/(f**(-2/21)/f)**10 assuming f is positive.
f**(181/168)
Simplify (((m**(-5)/m)/(m/m**1))/(m**(-1/4)*m*m*m/m**5))/((m**(-1/4)*m)**(-9/5)/(m/m**0)**39) assuming m is positive.
m**(183/5)
Simplify ((j*j**5)**(-11/3)*(j**(-1/4))**47)**32 assuming j is positive.
j**(-1080)
Simplify (x**(-2/3)*x*x*x**0*(x**1)**(1/3))/((((x**7*x)/x)/((x*x**(-1/4))/x*x))/(x*x/x**(-2/5)*x*x*x/x**(3/8)*x)) assuming x is positive.
x**(173/120)
Simplify ((o*o**(-2))/o**(-2/15))**38/((o**(-1)/o)**(1/24)*(o**(-1/5)/o)/(o**(-1)*o)) assuming o is positive.
o**(-633/20)
Simplify p**(-3/4)*p*p**4*p**(1/3)/(p/(p*p**(-1/7))*p*p*p)*(((p*p/p**10*p*p)/p)/(p/(p**(-5)/p)))**(13/6) assuming p is positive.
p**(-809/28)
Simplify (p**(-2/9)/p*p**(-8))/(p**(1/4))**(-37)*(p**4/(p*p*p/((p*p/p**(1/5)*p)/p*p)*p))**30 assuming p is positive.
p**(3025/36)
Simplify (o**(-15)/(o/(o*o**3*o)*o)*(o**(7/3)/o)**(-45))**(-3/8) assuming o is positive.
o**27
Simplify ((y/(y/(y*y**(-4/7))))/y**(1/3))**(-1/31)*(y*(y/(y/y**(-1/4)))/y*y)**(-16)*y**5/y**(-5) assuming y is positive.
y**(-1304/651)
Simplify (h**25*h*h*h**(5/7))/(((h**(-36)*h)/h)/h*h**(-22)) assuming h is positive.
h**(607/7)
Simplify (((o**(-1/2)/(o**7/o))**35)**12)**35 assuming o is positive.
o**(-95550)
Simplify (x/((x*x/x**(-21))/x)*x/x**30*x*(x/(x**27/x))/x**(-2/3))**(-7) assuming x is positive.
x**(1540/3)
Simplify (((k**(7/2)*k*k**(-6))/(k**2*k)**(-4/9))**(5/6))**(-1/4) assuming k is positive.
k**(5/144)
Simplify (d**4*d*d**(-6))**(-10)/((d/(d/((d*d/d**(-1))/d)))**(-23)/((d/(d*d/((d*d**5/d*d)/d))*d)/d**5)) assuming d is positive.
d**56
Simplify (((w**2)**(1/7)/(w**(-1/4))**(-22))**4)**(-7/5) assuming w is positive.
w**(146/5)
Simplify (b**7/((b**3/b)/b))/((b**(-2)/b*b)/(b*b**(-5)/b))*((b/((b**(-2/13)/b)/b))/(b/(b*b/(b/(b*b**2/b)*b))))**(-2/53) assuming b is positive.
b**(1959/689)
Simplify ((i**(-3/7)/i)/i**(-2))**(27/4)/(i**(-6)/i*i/(i/(i/(i**1/i)))*(i**(1/8)/i)/i**4) assuming i is positive.
i**(825/56)
Simplify (x/(x/((x**3/x)/x)*x)*x/(x/x**(7/5))*(x**(-6)/x)/x*x**(10/9))**(-1/15) assuming x is positive.
x**(247/675)
Simplify (((k**0*k)/k**(2/3))/(k**(-2/9)*k*k**(-3/5)))/((k**(1/4)*k*k)**24*(k**(-2))**(-27)) assuming k is positive.
k**(-4853/45)
Simplify ((z/(z/((z**(-9)/z*z)/z))*z*z*z)/z**(2/15)*(z/(((z*z**(-2)*z)/z)/z))**(-37))/((z**(-1/5))**(-20))**(-4) assuming z is positive.
z**(-1532/15)
Simplify (x**(-15/4)/(x*x**34)*(x*(x*x/(x**27/x))/x*x)**(1/65))**22 assuming x is positive.
x**(-111837/130)
Simplify (i**(-7)*i*(i**(1/5)/i*i)/i)/(i/i**(2/33)*i*i**3/i)*i**2/i*i*i/i**(3/4)*((i*i**(-4/3))/i)/i**(5/2) assuming i is positive.
i**(-2711/220)
Simplify ((p**(1/7)*p/(p**1/p*p)*p)/(p*p/(p/(p/p**(2/7))))**(-2/47))/((p**(-1/11)*p*p/(p/(p**2/p)))/((p**(-4/9)*p)/(p*p**3))) assuming p is positive.
p**(-134770/32571)
Simplify ((m*m**(-1))**(-2/27))**(2/9)*m*m/((m**(-3)*m)/m)*m**(-2)*((((m*(((m**(2/3)/m)/m)/m)/m*m)/m)/m*m)/m)**(4/35) assuming m is positive.
m**(55/21)
Simplify ((n**(-14)/n)/(n/(n/n**(-3/8)))*n**(-15)/(n*n*n*n*n**(-2/3)*n))**(7/3) assuming n is positive.
n**(-5705/72)
Simplify ((b**(-8)/((b/b**(-3))/b))/((b*b**1)/b)**(-6/23))**(-16) assuming b is positive.
b**(3952/23)
Simplify (t**(-27)*t)/(t**(-28)/t)*((t*t**(1/47)*t)/t)/t**1 assuming t is positive.
t**(142/47)
Simplify (o**(2/5)*(o**(-9)*o)/o*o*o/o**7*o*o*o**(2/27))**16 assuming o is positive.
o**(-24896/135)
Simplify (w*((w*w**(-4)*w)/w)/w)/((w/(w**0*w))/w)*w*w*w*w/(w**(-7)/w*w)*w/w**(-2/21)*(w**(1/2))**(6/19)/(w/(w**0/w)*w)**(-1/3) assuming w is positive.
w**(4490/399)
Simplify ((k**1/k)**(31/3)*(k/((k*k**(-6)/k)/k))/(k*k**(1/2)))/(((k**(1/3)/k)/k*k)**(-18)*(k*k/(k**1/k)*k)**(3/5)) assuming k is positive.
k**(-73/10)
Simplify (t**4/t*t**6)**(19/5)/(t*t**1*t*t**(2/5))**4 assuming t is positive.
t**(103/5)
Simplify (m**(-1/10)/(m*m*m/(m/(m/(m**(-6)*m)*m*m)))*(m**(-8/3)*m*m)/(m**(1/3)*m))**(-10) assuming m is positive.
m**121
Simplify (f**(7/5)/(f/f**3)*(f**(-2/7))**4)/((((f/f**(-3))/f)/f**(-7/2))/(f**2)**31) assuming f is positive.
f**(4043/70)
Simplify (i**(2/19)/i*i*(i/(i/(i*(i**(1/6)/i)/i*i)*i)*i)/i*(i**(1/4)/i)**(-5))/((i**(-1)*i)**(-14/5))**(-20) assuming i is positive.
i**(689/228)
Simplify (n**(-4)*n*n**(-6/11)*(n/(n*n**(3/4)*n))/(n*n/(n/(n**(-4/15)/n*n))*n))**41 assuming n is positive.
n**(-190199/660)
Simplify (y**(-2)*y*y/y**(-12))**(-44)/((y/y**(1/3)*y*y**(1/5)/y)/(y**3/y*y**(3/5))) assuming y is positive.
y**(-7894/15)
Simplify (m**(2/7)/(m/(((m/((m/(m/m**4*m)*m*m)/m))/m)/m)))**4/((m*m*m**0*m)**(-36)*m**0/m*m*m*m**(-3/4)) assuming m is positive.
m**(2377/28)
Simplify ((c**7*c*c/c**(-3/5))/(c*(c/c**(2/3))/c)**(1/29))/((c/(c/c**0))**28)**(-12) assuming c is positive.
c**(4171/435)
Simplify (((r/r**(-2/5))/r)**(-40)/((r/(r/r**(-1/8)))/(r*(r*r**(-1/2))/r)))/((r/r**(-1))**(-7/3)*(r*(r/(r*r**(4/5)))/r)/r**(-1/3)) assuming r is positive.
r**(-1229/120)
Simplify (b**(2/7))**19*(b**(1/3))**(-2/7)*(b**5/((b/(b/(b/(b**(-5)/b*b))))/b))/(b**(1/9)/(b/(b/(b*b/b**(2/21)*b*b)*b*b)*b)) assuming b is positive.
b**(512/63)
Simplify ((i**(1/12)/i**(-3))/(i**(10/7))**(-15/7))**27 assuming i is positive.
i**(32517/196)
Simplify ((((x/(x/x**3))/x)/x)/x**(-5))/(x/x**(-1/3)*x*x)**(2/27)*((x**(-1)*x)**(5/4))**(-24) assuming x is positive.
x**(466/81)
Simplify (r**(-1/3)*r*(r/r**0)/r*r*r)**(-9)*((r*r**(-2)/r)**6)**(-1/47) assumin | {
"pile_set_name": "DM Mathematics"
} |
nearest 100?
-5300
What is 0.00000208 rounded to six decimal places?
0.000002
What is 2764230 rounded to the nearest one hundred thousand?
2800000
What is 99.5 rounded to zero decimal places?
100
Round -51.783 to the nearest 10.
-50
What is 176.92 rounded to the nearest ten?
180
Round -0.000020977 to seven dps.
-0.000021
What is -9.3917 rounded to 2 decimal places?
-9.39
What is 106.25 rounded to the nearest integer?
106
What is -0.4277 rounded to 2 dps?
-0.43
Round -2932240 to the nearest ten thousand.
-2930000
What is -124376 rounded to the nearest ten thousand?
-120000
What is -0.22848 rounded to 3 decimal places?
-0.228
Round -24.446 to 1 decimal place.
-24.4
What is 13350000 rounded to the nearest one hundred thousand?
13400000
Round -14960 to the nearest 10000.
-10000
Round 1089 to the nearest ten.
1090
Round -0.145 to zero dps.
0
What is -0.0000489 rounded to five dps?
-0.00005
Round 0.41082 to one dp.
0.4
Round 613300 to the nearest one hundred thousand.
600000
Round -1077.24 to the nearest one hundred.
-1100
What is -3757500 rounded to the nearest 100000?
-3800000
What is 4633 rounded to the nearest one hundred?
4600
What is 0.667 rounded to one dp?
0.7
What is -171.666 rounded to zero decimal places?
-172
What is -0.000009202 rounded to 6 dps?
-0.000009
What is -0.0018101 rounded to five dps?
-0.00181
Round 13791.4 to the nearest 1000.
14000
Round 0.00002268 to five decimal places.
0.00002
What is -3.372 rounded to the nearest integer?
-3
What is 0.01507 rounded to 3 decimal places?
0.015
Round -0.002603 to four decimal places.
-0.0026
Round -0.829 to the nearest integer.
-1
What is -2.6929 rounded to 1 decimal place?
-2.7
Round -1157 to the nearest one hundred.
-1200
What is 615000 rounded to the nearest 1000?
615000
What is 2188.2 rounded to the nearest one hundred?
2200
What is -0.000001585 rounded to six dps?
-0.000002
What is 0.000000304558 rounded to seven dps?
0.0000003
Round 4428.6 to the nearest one thousand.
4000
What is 159 rounded to the nearest one hundred?
200
Round -16797 to the nearest one hundred.
-16800
What is 10012000 rounded to the nearest one million?
10000000
What is 1020000 rounded to the nearest one hundred thousand?
1000000
Round 0.4633 to one decimal place.
0.5
What is -0.00014325 rounded to 5 dps?
-0.00014
Round 5137 to the nearest one hundred.
5100
Round -564.3 to the nearest ten.
-560
Round 9433700 to the nearest one million.
9000000
Round 0.000077595 to 5 dps.
0.00008
What is 736.6 rounded to the nearest one hundred?
700
Round -0.09967 to 2 dps.
-0.1
What is -734900 rounded to the nearest one hundred thousand?
-700000
What is -20358600 rounded to the nearest 100000?
-20400000
Round 0.00637 to four decimal places.
0.0064
Round -0.001364 to 5 decimal places.
-0.00136
What is 0.000000917 rounded to 7 decimal places?
0.0000009
What is 62800 rounded to the nearest one thousand?
63000
What is -0.0003546 rounded to 5 decimal places?
-0.00035
What is -1175200 rounded to the nearest 10000?
-1180000
Round 1446 to the nearest one hundred.
1400
Round 41120000 to the nearest one million.
41000000
What is 2030900 rounded to the nearest one hundred thousand?
2000000
Round -1520 to the nearest 1000.
-2000
Round -3.405 to 2 decimal places.
-3.41
What is 0.00000106 rounded to six decimal places?
0.000001
What is 644.3 rounded to the nearest 10?
640
Round -247700 to the nearest one thousand.
-248000
Round 81070 to the nearest ten thousand.
80000
What is -0.0030099 rounded to five dps?
-0.00301
Round -0.010643 to 4 decimal places.
-0.0106
Round 53200000 to the nearest one million.
53000000
What is 93550 rounded to the nearest 10000?
90000
What is -1.9376 rounded to one decimal place?
-1.9
Round -1133000 to the nearest 10000.
-1130000
Round 69600 to the nearest ten thousand.
70000
What is 10860000 rounded to the nearest one hundred thousand?
10900000
What is 0.000030411 rounded to 6 decimal places?
0.00003
What is -4880000 rounded to the nearest 100000?
-4900000
Round 6.3839 to zero dps.
6
What is 1.48965 rounded to 3 decimal places?
1.49
What is 2.4287 rounded to two dps?
2.43
What is -160380 rounded to the nearest 10000?
-160000
Round 3353.5 to the nearest 10.
3350
Round 8.6901 to one decimal place.
8.7
What is 19.72 rounded to the nearest one hundred?
0
What is -105520 rounded to the nearest one hundred?
-105500
What is -4969000 rounded to the nearest one hundred thousand?
-5000000
What is 0.0005383 rounded to four decimal places?
0.0005
What is 3619000 rounded to the nearest 1000000?
4000000
What is 168800 rounded to the nearest ten thousand?
170000
What is 0.5196 rounded to 2 dps?
0.52
Round 0.0002217 to five dps.
0.00022
Round -0.099796 to three dps.
-0.1
What is 0.0000072 rounded to five decimal places?
0.00001
What is 0.008967 rounded to four dps?
0.009
Round -8.86 to one dp.
-8.9
Round -0.0000010367 to 7 dps.
-0.000001
Round -0.0022766 to five decimal places.
-0.00228
Round -7920000 to the nearest one million.
-8000000
Round 26200 to the nearest 10000.
30000
What is -77000000 rounded to the nearest one million?
-77000000
Round -0.0001388 to 4 dps.
-0.0001
What is -0.0050302 rounded to four decimal places?
-0.005
Round 460.5 to the nearest one hundred.
500
What is -8145000 rounded to the nearest 100000?
-8100000
What is 43.42 rounded to the nearest 10?
40
Round 0.0000000189 to seven decimal places.
0
Round -0.0467333 to 4 dps.
-0.0467
What is 119.23 rounded to the nearest ten?
120
What is 9422000 rounded to the nearest 1000000?
9000000
Round -0.00173375 to 4 dps.
-0.0017
What is -96800 rounded to the nearest ten thousand?
-100000
Round -84.09 to zero decimal places.
-84
What is 3175.9 rounded to the nearest ten?
3180
What is -3.409 rounded to 1 dp?
-3.4
What is -0.000051907 rounded to 5 dps?
-0.00005
What is 0.0042675 rounded to 4 dps?
0.0043
Round 3288 to the nearest 100.
3300
Round 0.0097117 to three dps.
0.01
Round -557810 to the nearest 10000.
-560000
What is 0.14884 rounded to two decimal places?
0.15
What is -0.036844 rounded to two dps?
-0.04
What is -0.0095462 rounded to 3 decimal places?
-0.01
Round -1810 to the nearest one hundred.
-1800
Round 10.9768 to 1 dp.
11
What is -0.0000058382 rounded to seven decimal places?
-0.0000058
Round 7799000 to the nearest 1000000.
8000000
What is -0.00087555 rounded to 5 decimal places?
-0.00088
Round 722609 to the nearest 100000.
700000
What is -0.3316 rounded to 3 dps?
-0.332
What is 15.58 rounded to the nearest integer?
16
Round -0.0005366 to five decimal places.
-0.00054
Round -2258400 to the nearest 100000.
-2300000
Round 0.00415 to 3 decimal places.
0.004
Round -0.5335 to one dp.
-0.5
Round 0.02637 to 3 dps.
0.026
What is -0.00001706 rounded to 6 dps?
-0.000017
What is -11410 rounded to the nearest 1000?
-11000
Round -0.00052568 to 5 decimal places.
-0.00053
What is -0.01543 rounded to four dps?
-0.0154
What is 33802000 rounded to the nearest 1000000?
34000000
What is -1.6424 rounded to one dp?
-1.6
Round 76720 to the nearest 1000.
77000
Round -0.00021092 to five decimal places.
-0.00021
What is 0.145 rounded to two dps?
0.15
Round 31.996 to one dp.
32
What is -0.000008757 rounded to seven decimal places?
-0.0000088
Round -0.0000008705 to seven decimal places.
-0.0000009
What is -0.00001799 rounded to five dps?
-0.00002
Round 455 to the nearest 10.
460
What is 50500 rounded to the nearest 100000?
100000
Round 0.08661 to one dp.
0.1
What is 0.00624 rounded to four decimal places?
0.0062
What is 56420000 rounded to the nearest 1000000?
56000000
What is -0.0000000727 rounded to seven dps?
-0.0000001
What is -1109 rounded to the nearest 100?
-1100
Round -0.3712 to 2 dps.
-0.37
What is 0.423 rounded to 1 decimal place?
0.4
What is 0.0096919 rounded to four decimal places?
0.0097
What is -0.00085499 rounded to 5 dps?
-0.00085
What is -0.71714 rounded to 2 dps?
-0.72
What is 0.000008462 rounded to seven dps?
0.0000085
Round -0.0989 to two dps.
-0.1
Round -0.00001073 to 6 dps.
-0.000011
What is 63.3 rounded to the nearest integer?
63
What is 4.1887 rounded to two decimal places?
4.19
What is -0.0000002552 rounded to seven dps?
-0.0000003
Round -0.021577 to 4 decimal places.
-0.0216
Round 0.107872 to 4 decimal places.
0.1079
What is 0.0002773 rounded to 5 decimal places | {
"pile_set_name": "DM Mathematics"
} |
50
How many grams are there in 11018.93t?
11018930000
What is 0.5576923 weeks in minutes?
5621.538384
What is 4006.865kg in tonnes?
4.006865
What is 9/10 of a millimeter in micrometers?
900
What is eighteen fifths of a tonne in kilograms?
3600
Convert 93043.04 nanograms to milligrams.
0.09304304
What is 3/40 of a minute in milliseconds?
4500
What is 5/4 of a gram in milligrams?
1250
Convert 2.656256 years to millennia.
0.002656256
What is 772449.2ml in litres?
772.4492
How many litres are there in 202.5965 millilitres?
0.2025965
How many millilitres are there in 11/10 of a litre?
1100
How many days are there in 30.41766us?
0.00000000035205625
What is 8.469448ug in kilograms?
0.000000008469448
What is 42384.54l in millilitres?
42384540
Convert 4.868482ml to litres.
0.004868482
What is 0.5805587m in nanometers?
580558700
Convert 417937.5um to meters.
0.4179375
What is 66181.88 decades in millennia?
661.8188
How many millilitres are there in fourty-five halves of a litre?
22500
How many micrometers are there in 0.9397051 meters?
939705.1
How many years are there in thirty-one fifths of a millennium?
6200
How many millimeters are there in 1/4 of a meter?
250
What is 2205.557 millennia in centuries?
22055.57
Convert 559.4539ml to litres.
0.5594539
Convert 1755936.9 milliseconds to hours.
0.48776025
What is 98422.41 decades in millennia?
984.2241
How many years are there in 41/2 of a millennium?
20500
How many seconds are there in 6/25 of a day?
20736
What is twenty-seven quarters of a millennium in decades?
675
Convert 69874.17 millimeters to micrometers.
69874170
What is 68.03501 millilitres in litres?
0.06803501
What is 1/5 of a gram in milligrams?
200
What is 3/5 of a millennium in months?
7200
What is fourty-three quarters of a litre in millilitres?
10750
How many litres are there in 53.16927 millilitres?
0.05316927
Convert 9.510193m to centimeters.
951.0193
What is 1.353239 litres in millilitres?
1353.239
How many millilitres are there in one quarter of a litre?
250
Convert 57768.06 centuries to years.
5776806
What is 2.1473919 months in millennia?
0.000178949325
Convert 81.69674 litres to millilitres.
81696.74
What is 48/5 of a litre in millilitres?
9600
How many micrometers are there in fifteen quarters of a centimeter?
37500
How many minutes are there in thirty-one halves of a hour?
930
What is one fifth of a gram in milligrams?
200
What is 25/4 of a microgram in nanograms?
6250
What is eleven eighths of a micrometer in nanometers?
1375
What is 45/4 of a minute in seconds?
675
How many grams are there in 997641.9ng?
0.0009976419
Convert 408930.3 hours to nanoseconds.
1472149080000000000
What is fifty-two thirds of a year in months?
208
How many nanograms are there in 5/8 of a microgram?
625
How many millilitres are there in 32/5 of a litre?
6400
Convert 61.9984ug to nanograms.
61998.4
Convert 3735.651l to millilitres.
3735651
Convert 3.51264 millilitres to litres.
0.00351264
How many centimeters are there in three fifths of a kilometer?
60000
How many centimeters are there in 1/5 of a meter?
20
What is seven halves of a meter in millimeters?
3500
How many months are there in 1/24 of a century?
50
What is 9.294668m in centimeters?
929.4668
How many grams are there in 969224.7 tonnes?
969224700000
How many milligrams are there in 742086.9t?
742086900000000
How many litres are there in 0.2410938ml?
0.0002410938
Convert 0.514244nm to millimeters.
0.000000514244
How many milliseconds are there in seven halves of a second?
3500
What is 75/2 of a day in hours?
900
How many months are there in 574023.7 millennia?
6888284400
What is three fifths of a gram in milligrams?
600
Convert 899140.7 hours to microseconds.
3236906520000000
What is 6085.162mg in micrograms?
6085162
What is 6736.224ug in nanograms?
6736224
How many milliseconds are there in 3/5 of a second?
600
What is three eighths of a litre in millilitres?
375
What is 8816.604 hours in minutes?
528996.24
Convert 26.1315 millennia to months.
313578
How many kilograms are there in 768.9704mg?
0.0007689704
Convert 2.07905 centuries to years.
207.905
Convert 0.1073416ug to nanograms.
107.3416
What is 433136.2nm in kilometers?
0.0000004331362
What is sixty-one quarters of a litre in millilitres?
15250
How many meters are there in twenty-seven halves of a kilometer?
13500
How many months are there in 0.6167018 decades?
74.004216
How many centuries are there in 2363.51 years?
23.6351
What is 9/10 of a kilometer in centimeters?
90000
What is seventeen halves of a milligram in micrograms?
8500
How many millimeters are there in 3/10 of a centimeter?
3
What is 575.3546km in meters?
575354.6
How many grams are there in 92.36346mg?
0.09236346
How many micrometers are there in one twentieth of a millimeter?
50
How many centimeters are there in fourty-one halves of a meter?
2050
Convert 62.95032g to milligrams.
62950.32
How many nanometers are there in eleven halves of a micrometer?
5500
What is twenty-seven fifths of a gram in milligrams?
5400
What is four thirds of a week in hours?
224
How many micrometers are there in 1508.308 millimeters?
1508308
What is 0.9339931cm in micrometers?
9339.931
How many milliseconds are there in 16/15 of a minute?
64000
How many centimeters are there in 12/25 of a meter?
48
How many grams are there in 42/5 of a kilogram?
8400
Convert 0.8469345 millennia to centuries.
8.469345
What is 51/5 of a litre in millilitres?
10200
How many litres are there in 14438.66ml?
14.43866
What is 216296.5 centimeters in micrometers?
2162965000
What is 1/5 of a hour in minutes?
12
What is seven thirds of a millennium in months?
28000
Convert 64845.78 millilitres to litres.
64.84578
How many litres are there in 9.249342ml?
0.009249342
How many millilitres are there in 51/4 of a litre?
12750
How many microseconds are there in 74811.17 weeks?
45245795616000000
How many grams are there in 17/4 of a kilogram?
4250
How many nanometers are there in 7/8 of a micrometer?
875
What is seven thirds of a decade in months?
280
How many nanograms are there in thirty-seven fifths of a microgram?
7400
What is fifteen quarters of a millennium in decades?
375
How many millilitres are there in 1/10 of a litre?
100
What is 1881.719 weeks in nanoseconds?
1138063651200000000
What is 3/5 of a kilometer in centimeters?
60000
How many centimeters are there in 3/5 of a kilometer?
60000
How many minutes are there in 18/5 of a week?
36288
What is one quarter of a litre in millilitres?
250
What is fourty-five halves of a litre in millilitres?
22500
How many hours are there in twenty-seven halves of a day?
324
How many milliseconds are there in nine tenths of a minute?
54000
How many nanometers are there in eleven halves of a micrometer?
5500
How many nanometers are there in 13/8 of a micrometer?
1625
Convert 757490.7 millimeters to kilometers.
0.7574907
What is 12/25 of a litre in millilitres?
480
How many nanoseconds are there in 7.324083 seconds?
7324083000
What is twenty-one quarters of a hour in seconds?
18900
How many milligrams are there in 0.3140306 grams?
314.0306
What is 1.5822594 months in centuries?
0.0013185495
What is 15/4 of a kilometer in meters?
3750
How many millimeters are there in 18/5 of a centimeter?
36
Convert 3237.505 litres to millilitres.
3237505
What is 27.40107 micrograms in kilograms?
0.00000002740107
What is 11/2 of a milligram in micrograms?
5500
What is 8118.996 millilitres in litres?
8.118996
What is 1029.56589 milliseconds in days?
0.000011916271875
Convert 313133.9 weeks to nanoseconds.
189383382720000000000
What is one quarter of a hour in seconds?
900
What is 66248.4km in centimeters?
6624840000
Convert 2993.088 decades to years.
29930.88
How many months are there in 7/4 of a century?
2100
What is 3.186765 milligrams in micrograms?
3186.765
What is 88.40484 millilitres in litres?
0.08840484
How many hours are there in 7.8146568 nanoseconds?
0.000000000002170738
How many millilitres are there in fifty-nine fifths of a litre?
11800
What is 153.6827 years in months?
1844.1924
What is fourty-seven quarters of a kilometer in meters?
11750
What is 164.6599t in nanograms?
164659900000000000
What is one tenth of a millisecond in microseconds?
100
What is one tenth of a microsecond in nanos | {
"pile_set_name": "DM Mathematics"
} |
What is the smallest value in q, 0.3, l?
l
Let o = 114 + -208.1. Let v = -94 - o. Which is the second biggest value? (a) v (b) -4 (c) 3/7 (d) 1
c
Let i = 10.932 - 11. Let y = -0.262 + 0.37. Let b = y + i. What is the smallest value in -0.4, 5, b?
-0.4
Let h be (-26)/1183*(-434)/10 + (-2)/13. What is the smallest value in -116, h, -2?
-116
Let u = 7/4 - 2. Let d = -147 - -149.96. Let m = 0.96 - d. What is the fourth smallest value in u, -0.4, -0.5, m?
u
Suppose -5*r - 58*w + 63*w - 485 = 0, 3*r - 4*w = -294. Which is the smallest value? (a) 20 (b) r (c) -2/3
b
Let i = 12 - 12.02. Let f = 0.22 + i. Let m be 120/66 + (-3 - -1). Which is the second biggest value? (a) m (b) f (c) -4
a
Let z be (-264)/88 - (-158)/(-2). Which is the smallest value? (a) z (b) -6 (c) 2/11
a
Let k = 13 + -79/6. Let f be 25/(-10)*20/25. Let i be (1 - 3) + (3 + -5)/f. What is the smallest value in i, -14, k?
-14
Let j = 618 - 669. Let y = -57.17 - -6.07. Let n = y - j. What is the second biggest value in n, -5, 3?
n
Let o = -103 - -100. Let h = -353 - -353. What is the third biggest value in 5, 2/13, h, o?
h
Let s = 283/20 - 55/4. Let m = -2.26 - -2.5. Which is the second biggest value? (a) s (b) -2/5 (c) m
c
Let i = -0.062 + 0.792. Let l = -0.27 - i. Which is the smallest value? (a) l (b) 0.02 (c) 1/5
a
Let i = -105 - -91. Let t = 64 - i. Let r = -73 + t. What is the third smallest value in -5, 3, r, -4?
3
Let l = -0.8 + 0.9. Let h = 0.1 + 1. Let p = h - 0.9. What is the third smallest value in l, p, -7?
p
Let j be 5032/612*6/4*(-3 - -9). Which is the second smallest value? (a) 2/11 (b) j (c) 2.6
c
Let d = -24.974 + -0.026. Let p = 24.94 + d. Let l = p + 6.06. Which is the third smallest value? (a) -0.1 (b) l (c) 0
b
Let n = 16 + -65/4. Let f = 76.99 + -66.99. Which is the third biggest value? (a) -0.1 (b) 0.01 (c) f (d) n
a
Let k be 2/(-7) - (-9)/105. Let m = 88 - 88. Let c = -8 - -7.9. What is the third biggest value in m, c, k?
k
Suppose -15 = 6*u - 111. Suppose -3*y = -4*p + 14, -9 = -3*p - 5*y + u. Which is the biggest value? (a) -1 (b) 0 (c) -2/9 (d) p
d
Let f = 20/181 - -302/543. Which is the fourth smallest value? (a) 5 (b) 1 (c) f (d) 0.3 (e) 0.059
b
Let u = 1.404 + 112.576. Let w = -113 + u. Let j = w - 1.1. What is the biggest value in 1, -0.1, j?
1
Let c be (-12)/(-144)*(-1 + 2 + 2). Let s = -169/2 + 86. What is the second biggest value in s, 1/9, 9/7, c?
9/7
Let u = -2.9 - 0.1. Suppose 5*j = 0, 0 = -5*v + 3*j - 4*j + 60. Let f(h) = h - 8. Let d be f(v). Which is the second smallest value? (a) d (b) 3 (c) u
b
Let n = -0.1823 - 51.8177. Let s = -404.8 - -353. Let y = n - s. Which is the fourth biggest value? (a) y (b) 0.3 (c) -3 (d) 5
c
Let k(w) = w**3 + 9*w**2 + 32*w + 45. Let r be k(-3). Let a = -85/3 + 28. What is the fourth biggest value in r, 0.3, a, 0.5?
a
Let t = 3 - 3.4. Let k = -148.07 + 148.07. Which is the second biggest value? (a) t (b) k (c) -6/7
a
Let y = 1802.8 - 1630.8. Which is the second smallest value? (a) -5 (b) -0.13 (c) y
b
Let f = 4.316 - 0.316. What is the biggest value in -0.169, f, -0.4?
f
Let b = 7.136 - 7.136. What is the second biggest value in -2/25, 1, -4, b, 64?
1
Let j = 0.347 + 56.553. Let b = j + -56.8. What is the fourth biggest value in -1/4, -1/6, b, -1/7?
-1/4
Let j = -3323/45924 + -42/3827. Let f = 0.05 + -0.45. Which is the fourth biggest value? (a) f (b) 0 (c) -3 (d) j
c
Let m = -0.9 - 0.1. Let r = -16/7 - -81/14. Let g = -17.063 + 16.963. Which is the third smallest value? (a) m (b) -1/2 (c) g (d) r
c
Suppose 0 = -u - v + 1, 0 = 5*u + 3*v + 4 - 17. Let g = -25204 - -25203.5. What is the smallest value in g, u, -16?
-16
Let y = 72 - 36. Let o = y - 11. Let s = 24 - o. What is the second biggest value in s, 0.3, 0?
0
Let f = 0.4969 - -2.5031. Which is the biggest value? (a) f (b) -33 (c) 0 (d) 0.4 (e) 10
e
Let w = -287.2 + 5.2. Let o = w - -282. Which is the third biggest value? (a) 2 (b) 6 (c) o
c
Let z = -0.066 - 0.034. Let n = -3.708 - -0.708. What is the smallest value in 1/10, n, z, 4/7?
n
Suppose 70 + 21 = 7*j. Let o be 2*5/60 - j/(-30). Which is the smallest value? (a) o (b) -6 (c) 2 (d) -2
b
Let n = -80.48 + 83.48. What is the second smallest value in -3/7, n, -6/5, 2, 0?
-3/7
Let s = -0.165 - -4.065. Let v = 6.9 - s. Which is the second biggest value? (a) -1/2 (b) 5 (c) v (d) -0.4
c
Let f = -107 + 181. Let z = 61 - f. What is the second smallest value in z, 4, -3?
-3
Let z = 550.89 + -548. Let p = z + -2.59. Let n be (0/2)/(1*2). Which is the second biggest value? (a) n (b) 5 (c) p
c
Let g = -3830 + 3829.7. Which is the third biggest value? (a) -1 (b) -21.9 (c) g (d) 1
a
Let g = -186.02 - -0.02. Let p = g - -187. Let h = -41/6 + 299/42. What is the second smallest value in h, -8/5, p?
h
Let j(g) = 819*g - 9831. Let y be j(12). Which is the fourth biggest value? (a) y (b) 2/9 (c) 1/2 (d) 4/9 (e) -0.258
e
Suppose 27*m + 76*m - 704 = -189. Which is the smallest value? (a) -3 (b) -4 (c) m (d) 25
b
Let m = 4152 - 4154. Which is the second smallest value? (a) m (b) 4/9 (c) 40 (d) -1
d
Let z = 185.4 + -54.4. Let m = 131.4 - z. What is the biggest value in 2/13, 1, 4, m?
4
Let b(g) = 2*g**3 + g + 4. Let w be b(3). Suppose -3*c - 3*v = -4*v + w, -2*c - 2*v = 38. What is the third smallest value in 0.5, c, 3/5?
3/5
Let z(x) = -x**3 + 27*x**2 + 52*x - 67. Let s be z(28). Let c = s - 638. What is the smallest value in c, -2/9, -4?
c
Let r = -39744 + 39742. Let t = -6 + 2. Which is the fourth biggest value? (a) -1 (b) 0 (c) r (d) t
d
Let i = 15 + -5. Let n be 48/40*i/(-3). Let b = -400/231 - -18/11. What is the biggest value in b, n, 3/2, 5?
5
Let k = 3 - 2. Let y be 175/(-147) - k/7. Suppose 17*n + 5*n = 0. What is the third biggest value in n, y, 5?
y
Suppose 19*q + 23 = 5*f + 15*q, 5*f - 2*q - 29 = 0. Let i be (-9 - (f + -15))*3/(-1). Which is the third smallest value? (a) 0.4 (b) 2/3 (c) 5 (d) i
d
Let a = 0.0393 - -16.5607. Let j = 16.77 - -0.23. Let d = a - j. What is the smallest value in 2/9, d, 0?
d
Let g be 275/(-20)*(-312)/(-195). Which is the biggest value? (a) -42 (b) -2/15 (c) -4 (d) 0 (e) g
d
Let d = -0.94 - 0.76. Let v = d - -1.3. Let x = 12 + -11.6. What is the smallest value in 1/4, v, x?
v
Let i = 0.2 + 0.3. Let v = 48.5 - -11.4. Let y = 60.9 - v. Which is the smallest value? (a) 4 (b) i (c) 2/13 (d) y
c
Let a(g) = 4*g**2 - 8*g + 9. Let t be a(10). Let i = t - 360. What is the second biggest value in -5, i, 2?
-5
Let h = -5920 + 5925. What is the fourth smallest value in -43, -0.7, h, 4, -0.2?
4
Let c be 102/27 + 0 + -4. Let o be (5382/2093)/((-9)/(-14)). Let r = 226/371 - 2/53. What is the third smallest value in r, c, o?
o
Let n = -3041 - -33453/11. Which is the biggest value? (a) -0.3 (b) -1 (c) 0.5 (d) n (e) -0.2
c
Let i = 0.099 + 138.901. Let k = 139.1 - i. Which is the smallest value? (a) k (b) -2/7 (c) -1/2
c
Let k = 6381 + -6381.3. Let u = 0 + 1. What is the fourth biggest value in 9.9, u, -0.1, k?
k
Let y = 0.1284 + -0.6514. Let j = y + 0.223. Let p = 32/185 + 1/37. What is the biggest value in -0.2, p, j, 2/9?
2/9
Let i be ((9152/(-182))/44)/(2*1). What is the biggest value in -0.7, 336, 1/7, 2, i?
336
Let h = 174.99 - 174.49. Let o = -349 - -2081/6. What is the second biggest value in h, 0, o?
0
Let f be (375/384 + -1)/((-57)/(-988)*-2). What is the third smallest value in 3, f, -3/2?
3
Let f be (-15)/9 + (-440)/(-120). Suppose 0 = 5*y - 2*x - 23, -3 = -y + 3*x - x. Suppose -y = f*s - 13. What is the second biggest value in 8, s, -2, 1?
s
Suppose 43*o + 29*o - 23*o = -441. What is the biggest value in o, 3/5, 0?
3/5
Let l = -6364 + 6363.6. Let r = 79 - 80. Which is the fourth smallest value? (a) r (b) -0.05 (c) l (d) 0.4
d
Let z = 3621/452 + -18331/2260. Let y = 0.29 + 0.01. Let f be (-1 + 2)*(-2)/(-6). What is the fourth biggest value in y, f, -1, z?
-1
Let p be (-6)/(-14) + (-50)/70. What is the smallest value in 0.02, 2/17, p, 1?
p
Let m = 169 - 159. Let k be 4/(-54)*15/m. Which is the third smallest value? (a) k (b) 5 (c) -5
b
Let s(i) = 7*i - 2 - 6 + 31 + 16. Let l be s(-5). Which is the second smallest value? (a) l (b) -0.2 (c) -14
b
Let b = 3047914/143 - 2 | {
"pile_set_name": "DM Mathematics"
} |
(a) i (b) -5 (c) w (d) 1
b
Let f = 2/9593 - -19180/28779. Let n = -0.09 - 0.71. Let i = n + 1.3. Which is the biggest value? (a) f (b) 0.9 (c) i
b
Let i = 0.013 + 0.126. Let j = i - -64.861. Let f = 64.5 - j. Which is the second smallest value? (a) -4/3 (b) 0.3 (c) f
c
Suppose -n + 5*n = 0. Let v = 14079.5 + -14080. What is the biggest value in -7/9, n, v?
n
Let d = -0.4851 + 0.0501. Let f = d + 0.735. What is the third smallest value in -0.04, -2, f?
f
Suppose n + 4*v = 5, 0*n - 4*n + v + 37 = 0. Let u = 0.6 - 4.6. Let w = 58672 - 58677. Which is the fourth smallest value? (a) u (b) n (c) w (d) -3
b
Let t = 0.1396 + -1.1396. What is the smallest value in 3, t, 37?
t
Let l(w) = w**3 - 25*w**2 + 9*w - 43. Let j be l(25). Let v be j/(-40) + 462/(-385). Let z = 0.3 - 0.7. What is the third biggest value in z, v, -3?
v
Let j = 279 + -161. Let w = j - 100. Which is the smallest value? (a) w (b) 0 (c) 4/3
b
Let c(o) = 86*o - 6192. Let t be c(72). What is the biggest value in -1/6, t, 0.033?
0.033
Let a = -8373 - -8247. What is the third biggest value in 0.18, 1, a, -0.3, 0?
0
Let z = -20318 + 19116.1. Let b = 1078 + z. Let w = -124 - b. What is the biggest value in 3/4, -2/15, w?
3/4
Let n = 37.5 + -37.211. Let q = n - -0.011. Let x be 4 + ((-1)/3)/((-2)/6). Which is the fourth smallest value? (a) x (b) q (c) 4 (d) 2
a
Let o = -588 + 366. Let x = o + 221.95. What is the smallest value in 0.5, 0.1, x, -2/3?
-2/3
Let b = 8.348 + 0.052. Let w = b - 7.4. Let c be 6/4 + (-35)/26. What is the third smallest value in w, 3/2, c?
3/2
Suppose -28*o = 31*o - 413. Which is the fourth smallest value? (a) -4 (b) -0.31 (c) o (d) 2/13
c
Let k = 4733.59 + -4733. What is the second biggest value in k, -3, 2?
k
Let p be 2 - (-28)/20 - (5 + (-207)/45). Which is the fourth biggest value? (a) 2/7 (b) p (c) -48 (d) -4
c
Let l = 16.4 - 16. Let s = -3028 - -3028. Which is the smallest value? (a) 2 (b) l (c) s
c
Let c = -1318/7 + 188. Let l = 12.16 - 12. Let x = l + -0.46. What is the biggest value in -5/2, c, x?
c
Let y be (125/(-30))/5 - (-9)/(-18). Let q be 357/(-153)*(-2)/(-7). Which is the third smallest value? (a) q (b) y (c) 2 (d) 3
c
Let o be 520/(-52) + 252/27. Which is the fifth biggest value? (a) o (b) -10/21 (c) -2 (d) -3 (e) -1
d
Let o = -18779 + 18778.8. Let i = 7/4 + -13/12. Which is the third smallest value? (a) o (b) i (c) -0.07 (d) -2
c
Let m = -3 + 0. Let v be -5*(3 + (-78)/(-30)). Let y be ((-6)/(-14))/(2 - (-24)/v). What is the second biggest value in m, y, -5?
m
Let w = -0.05316 - -5.05316. What is the second smallest value in -0.1, -0.03, -1/5, w?
-0.1
Let o be (178/534)/((-7)/6). Let k be 12/10*(-120)/(-18). Suppose 5*b - 5*v + v = -36, 5*v = -3*b + k. What is the third biggest value in -25, o, b?
-25
Let f be (-4 - 44/(-12))*(-357)/(-1547). Suppose -4*w = -9*w + 15. What is the second smallest value in 0, -2, f, w?
f
Let m = -176 + 295. Let x = -511.2 + 630. Let o = x - m. What is the second smallest value in -0.32, -3, o?
-0.32
Let v be (-2)/(3*(-8)/4164). Let o = v + -351. Which is the smallest value? (a) o (b) 0.09 (c) -2/21 (d) -2
a
Suppose 3*f - 124 = 3*q - 121, 4 = -2*f + q. Let j be (2/4)/(4/32). What is the second biggest value in -3, f, -19, j?
-3
Let r = 14066/7 + -2010. Let s be (1 - 3)*(-14 - -10). Let k be (1 - -1)*2/7. What is the fourth biggest value in r, k, 0, s?
r
Let o = -2.54 + 2.34. Let p = -334 + 6344/19. Let t be -2 + (6/(-4) - -2). Which is the smallest value? (a) o (b) p (c) t
c
Let f = -4 + 7. Suppose 5*n + 3*z - 45 = 0, -3*n + 5*z = 2*z - 51. Let x be n/(-18)*15/(-2). Which is the second biggest value? (a) x (b) f (c) -1
b
Let o be 870/(-75) + 16 + (-5)/1. Let d = -5.03 - -0.03. What is the third smallest value in 0.07, d, o, 5?
0.07
Let t = 267 + -254. Suppose 0 = -t*p + 7*p - 6. What is the second biggest value in p, 0.97, -4?
p
Let x = 3077 - 3135. What is the fifth smallest value in x, 3/7, 1/4, 0.5, -5?
0.5
Let r = 41 - 41.2. Let n = 0.153 - -3.847. Which is the third smallest value? (a) 0.3 (b) n (c) r
b
Let o = 1146.9 + -1147. What is the biggest value in o, 41, -1, 3?
41
Suppose -4*d + 21 = -3. Suppose 5 + 7 = d*p. What is the third biggest value in p, 12/7, -2/5?
-2/5
Suppose 5*g + 850 = -72*u + 67*u, 0 = -4*u + 2*g - 674. Which is the biggest value? (a) 1 (b) u (c) -0.12
a
Let y = -292363/2 - -146181. Let r be 1 + -1 + (-2)/(-2). Which is the biggest value? (a) y (b) r (c) 0.1 (d) 133
d
Let g be 1/(-2) - 1040/(-400)*10/(-4). Which is the fourth biggest value? (a) g (b) -2/163 (c) -0.1 (d) -5
a
Let l be (-35)/(-14)*(-3 + (-8329)/65). Let n = -328 - l. Which is the third smallest value? (a) -5 (b) n (c) -0.4
b
Let u(i) = i**3 + 9*i**2 - 12*i - 25. Let n be 1/(3/(-42)) - -4. Let p be u(n). Which is the smallest value? (a) 1/5 (b) p (c) -4
b
Let n = 6929/3 + -51991/24. Let g = -143 + n. Which is the fourth biggest value? (a) g (b) -4/7 (c) -4 (d) 3
c
Let n = 22 - -5. Let k = -13345.3 - -13345. What is the second biggest value in k, n, -3?
k
Let n = 38760 + -38760.1. Which is the smallest value? (a) -4 (b) 9/2 (c) -3 (d) n (e) -2/13
a
Let k(l) = 123*l - 767. Let w be k(-15). What is the third biggest value in -5, w, 0, 0.5?
-5
Let z = -6 + 2. Suppose -1 = 5*j - 6*j, -4*q + 7 = -5*j. Let x be -1 + 3/((-27)/(-12)). What is the second biggest value in -0.2, x, q, z?
x
Let m = 9 - 4. Let f = -1280 - -1275. Which is the fourth biggest value? (a) f (b) m (c) -14 (d) -0.2
c
Let n = -20692 + 20690. What is the biggest value in -2/11, 42, 3, -5, n?
42
Let s(z) = z**3 - 3*z**2 - 2*z + 1. Let i be s(3). Let k = 4.665 + 0.575. Let q = k + -4.74. What is the smallest value in 0.02, q, i?
i
Suppose -17*m - 1450 = -1348. What is the second biggest value in m, -4, -1.9, -2/5?
-1.9
Let y = 3566 + -3571. Which is the smallest value? (a) -0.5 (b) 3 (c) 0 (d) -0.25 (e) y
e
Let g = -3481/3 + 1160. Which is the smallest value? (a) g (b) 3 (c) 5 (d) 6
a
Let k be (-12)/(-66)*(-1452)/(-352). Which is the second smallest value? (a) -350 (b) k (c) 1 (d) 0.1 (e) 0.2
d
Let v be -1 + 8/20 + (-20349)/135. Let o = 152 + v. Suppose -2*w = -3 + 1. Which is the fourth biggest value? (a) -5 (b) w (c) o (d) -4
a
Suppose 7*q + 323 = 358. Let y = -0.112 - 0.888. Which is the biggest value? (a) q (b) 1 (c) -0.1 (d) y
a
Let j = 227/17300 - 4/173. Let r = -193/700 + j. What is the second smallest value in 3/2, 3/7, r?
3/7
Let s be (1/(-9))/((-1)/3). Let q = -193/192 - 21/64. Which is the fourth smallest value? (a) s (b) q (c) -4/5 (d) -3
a
Let m = 92459.9 - 93458.917. Let o = m + 1001. Let b = -0.017 - o. What is the second biggest value in b, 0.1, 18, -3/2?
0.1
Let o = -352/5 - -71. Let w be ((-8)/(-140))/((-1)/(56/16)). Let x = -5 - -9. Which is the second biggest value? (a) x (b) o (c) w
b
Suppose -3*l = -k - 2, 2*l - 4*k - 352 + 344 = 0. Which is the second smallest value? (a) -0.2 (b) l (c) -3 (d) -4/9 (e) 214
d
Let h = -36 + 145/4. Let p = 3/25 + 63/100. Let z = -13214 - -13214. Which is the third smallest value? (a) p (b) z (c) h
a
Let j = 5615 - 5615.1. Let o be (-12)/2*(-1)/2. What is the second smallest value in o, j, -6, -4?
-4
Let k = 7606 - 7605. Which is the fourth smallest value? (a) -13/7 (b) k (c) 3 (d) 2/3 (e) 1/5
b
Let l = -14.86 + 8.86. Let m = -1 + 0. Let x = l - m. What is the third biggest value in -2/37, x, -0.1?
x
Let w = -45326.5 - -45327. What is the third biggest value in w, -0.4, 0.2, -4, 1?
0.2
Let h = 0.11987 - -1.88013. What is the fourth smallest value in 5.6, 1, 0.4, h?
5.6
Suppose 4*s = -5*i - 31, -2*s = 5*i + 14 + 9. What is the second biggest value in 2, 0.07, -35/9, i, 0.2?
0.2
Let d be 7 - 10 - (348/(-143) - 1). Let j = -8/13 + d. What is the biggest value in -0.5, j, 0.06, 3?
3
Let w(r) = 281*r + 276. Let z be w(-1). What is the fourth smallest value in z, -4, 2/3, 8/11, -2?
2/3
Suppose 0*z - 2*o + 5 = -z, -6 = 2*z - 5*o. Let r = -4.7877 + -0.2123. What is the third biggest value in r, z, -2/3?
z
Let h = 19.326 - 19.1. Let i = h - -0.684. Let q = 4.91 - i. Which is the fourth biggest value? (a) q (b) -3 (c) -4 (d) 2/11
c
Let m = -28756 - -28765. What is the biggest value in m, 4/23, | {
"pile_set_name": "DM Mathematics"
} |
y = d + 291, -4*d + 4*y - 2*y - k = 0. Is 3 - (d - -2)*8 composite?
True
Let v be (3/(-3) - 34)*1. Let x = v + 37. Is (-1 - (-1085)/x) + (-2)/4 prime?
True
Let k(y) = -y**3 - 3*y**2 + 4*y - 2. Let u be k(2). Let w be (-36)/u + (-39)/(-91). Let g = w + 10. Is g a prime number?
True
Let h(j) = j**3 + j + 1. Let o(k) = 4*k**3 + 26*k**2 + 22*k - 21. Let b(s) = -3*h(s) + o(s). Let w be 7/(-21)*6*15 + 7. Is b(w) a prime number?
False
Let m = 865 + -1222. Let g = 2564 - m. Is g a prime number?
False
Let d = -421 - -424. Is (10/d - 2)*14622/8 a composite number?
False
Suppose 428*z + 20 = 423*z. Is (-32699)/(-57)*1*(-1 - z) composite?
False
Suppose -2*y + 2*t = 3*y - 20, -y - 23 = 5*t. Suppose 5*f - 12 = -4*b, -3*f + 9 = 5*b - y*b. Suppose f*s + 232 = 4*s. Is s a composite number?
True
Suppose -2873*p - 4*c + 172333 = -2870*p, -114897 = -2*p - c. Is p a composite number?
True
Let n(k) = -5305*k - 131. Is n(-4) prime?
True
Let l(n) = 780*n - 107. Is l(41) composite?
False
Let f(q) = 43*q**2 - 6*q + 1. Let h be f(-6). Let z = -5897 + 5899. Suppose -z*i = 5*o - 2788, 3*i - 3*o - 2618 = h. Is i prime?
True
Let s = -774475 + 1236152. Is s a composite number?
False
Let m be (3 - (-352)/(-121)) + (-508)/22. Let x(g) = -365*g + 352. Is x(m) prime?
True
Suppose 83*m + 52758454 = 289*m. Is m a composite number?
True
Let a = 310 - 307. Suppose -a*r = -5625 - 15492. Is r composite?
False
Let v be -6 + -1775*(-7 + 6)*1. Let s be (-3)/(-12) - (-2295)/4. Let f = v - s. Is f a composite number?
True
Let j = 238866 - 100159. Is j prime?
False
Suppose -6*l - 12 = -8*l. Let p(o) = 19*o**2 - 2*o + 3. Let s be p(l). Suppose 2*d - 595 = s. Is d composite?
True
Let q(w) be the first derivative of 9*w**4/4 + 5*w**3/3 - 5*w**2 - 5*w - 13. Let r be q(5). Suppose 0 = 3*m - 9628 + r. Is m a prime number?
False
Let w(k) = 2*k + 7. Let i be 3 + (13/26 - (-26)/(-4)). Let h be w(i). Is (h - 3)*(-1)/2*4909 a prime number?
True
Let b = -484085 - -861733. Suppose b + 247095 = 31*d. Is d prime?
False
Is (-15 - (-999)/(-108))*-4076 prime?
False
Let h(p) be the first derivative of p**6/40 - p**5/20 - 7*p**4/24 - p**3/3 - 5*p**2 - 6. Let d(g) be the second derivative of h(g). Is d(5) a prime number?
True
Is (-2)/((-18)/339711) + (-820)/(-615) a prime number?
True
Let y(q) = 7*q - 26. Let x be y(6). Let v(t) = 5*t**2 + 26*t - 51. Let z be v(x). Let w = z + -894. Is w composite?
False
Suppose 3*a + 4*p - p = 30, 2*p + 4 = 0. Is 6/4*a/(-9) + 4959 a prime number?
True
Let q(t) = -187*t + 8. Let p = -42 + 38. Let w be -9 + -5*p/5. Is q(w) prime?
False
Suppose 4*o - 8*o - 5*f - 3292 = 0, o - 3*f = -840. Suppose 0 = -s + 2*s - 3*p - 43, -51 = -s - p. Let r = s - o. Is r a composite number?
False
Suppose a = -4*z - 309, 2*a - 5*z + 1570 = -3*a. Let i = a + 181. Let n = -75 - i. Is n a prime number?
False
Suppose -312*f - 5*l + 563855 = -307*f, 2*f - 225530 = 4*l. Is f a prime number?
False
Let m(h) = -6355*h - 2946. Is m(-19) composite?
True
Let d = -6 + 8. Suppose 1928 = -r + d*r. Suppose 6*y - 7390 = r. Is y a prime number?
True
Is 2*(56406690/150)/((-6)/(-5)) a composite number?
False
Let h(d) = -261*d**3 + 7*d**2 - 40*d - 5. Is h(-8) prime?
False
Suppose -5720648 = 37*u - 157*u + 2036512. Is u a composite number?
True
Let v = 78999 - 48784. Is v prime?
False
Let r = -26 - -26. Suppose 4 = -w, 2*j + 2 = -r*w - 2*w. Suppose 4*k = 4*m + 1716, j*m + 0*m = -4*k + 1730. Is k composite?
False
Let d be ((-16)/(-16))/((-3)/18). Is (d/9)/((-2)/(-23799))*-3 prime?
False
Let h(d) = -8*d**3 + 5*d**2 + 4*d - 17. Let p be h(7). Is ((-87)/(-58))/((-6)/p) a composite number?
True
Let o be -616 + -4 + 0 - 0. Let u = 2060 + o. Suppose -4*n + 3*h = -1153, 7*n - u = 2*n + 5*h. Is n a prime number?
False
Let b be (-2)/10 - (1 - (-2223)/(-15)). Let n = b + -142. Suppose -n*q + z + 1076 = -412, -1484 = -5*q + 3*z. Is q composite?
True
Suppose 4*n + 4*i = 3*n - 136, -384 = 3*n + 4*i. Let w be n*15*1/6. Let y = w + 665. Is y composite?
True
Let j(l) = l**3 - 5*l**2 + l - 7. Let g be 116/20 - (-24)/(-30). Let t be j(g). Is (t - 16/(-6))*(-2478)/(-4) composite?
True
Let j = 16514 - -219. Suppose h + 1157 = 3*r + 4498, -5*h = -r - j. Suppose 6*d = 1321 + h. Is d a prime number?
False
Let v(g) = -g**3 + g**2 + g. Let p be v(3). Suppose -14*f - 20*f = -340. Is f/p - 89*219/(-9) a prime number?
False
Let y = 3514 + 122343. Is y a prime number?
False
Let v = -397 + 378. Let a(k) = 2*k**2 - 33*k + 12. Is a(v) prime?
True
Suppose -37*d = -39*d - g + 189424, 0 = -d + 2*g + 94697. Is d a prime number?
True
Let l(j) be the third derivative of -37*j**6/60 + j**5/60 + j**4/24 - j**3/6 - 87*j**2. Is l(-2) prime?
True
Let n(s) = -2*s**2 - 11*s - 7. Let r be n(-4). Suppose -3*d + 361 + 232 = -p, -2*d - 2931 = r*p. Is -4 - (-1 - 2/(-1)*p) prime?
True
Suppose -17*n + 20*n - 141563 = 4*u, -25 = 5*u. Is n prime?
False
Suppose -367*m = -365*m - 8. Suppose k + 177564 = m*c, -24552 = -c + 5*k + 19839. Is c a prime number?
False
Let j = 732 - 737. Is (12/36*j)/(1/(-5223)) prime?
False
Let z(q) = 713302*q**2 - 317*q + 316. Is z(1) a prime number?
False
Let i(n) = 12 - n**2 + 12 + 15*n + 15. Let b be i(17). Suppose -l + p + 6350 = 0, 3*l + b*p = -0*p + 19042. Is l a composite number?
True
Let a be (-7 - -5)*(-2 - 13/(-2)). Let s(x) = -11*x**3 - 7*x**2 - 31*x - 16. Let v be s(a). Suppose -4*u = u - v. Is u a prime number?
True
Suppose 8*q - 36 = 6*q. Suppose -31*h + 7969 = -q*h. Is h a prime number?
True
Suppose -24*q - 34960 = -34*q. Let d = q + -1097. Is d composite?
False
Let v(t) = t**3 + 96*t**2 - 181*t + 91. Is v(-94) composite?
True
Suppose i - n = 7, -3*i + 3*n + 35 = 2*i. Let a = 2884 - -1878. Suppose 5*y = -15, i*k - 2*k - a = -y. Is k composite?
False
Let x be 7*((-570)/(-7))/(-5). Let s be -16*(2/(-5))/((-20)/(-725)). Let p = x + s. Is p composite?
True
Let u be 170/51*(-6)/(-5). Suppose -u*n = -n - 1275. Suppose -3*d - p + n = -3*p, 5*p = -4*d + 582. Is d prime?
False
Let n(d) = 46*d**2 + 8*d - 23. Let h be 3/(-6) + (-45)/6. Let x be n(h). Suppose 1023 - x = -2*u. Is u prime?
False
Let d be (2/(-6))/(6/(-54)) - 807. Let f = d + 1385. Is f prime?
False
Suppose -6*v = -1521 - 14445. Suppose c - v = -2*c. Is c prime?
True
Suppose 6*u + 14 = 5*u. Let k(p) = p**2 + 10*p - 28. Let j be k(u). Is (7882/j)/((-2)/(-4)) prime?
True
Suppose 9 + 15 = -2*p - 4*m, p = m + 3. Let w(j) = -392*j**3 + 2*j**2 + 7. Is w(p) a composite number?
True
Suppose 372*p - 573356 = 344*p. Is p a prime number?
True
Let q(w) = 289*w**2 + w - 41. Suppose -236*u - 30 = -231*u. Is q(u) a prime number?
True
Suppose -3*t + 9 = 8*r - 7*r, t = -4*r + 14. Is r/(3/1259*(5 + -4)) prime?
True
Let w be ((-2308)/(-50))/2 - 4/50. Suppose -w*u + 214773 + 239270 = 0. Is u a composite number?
True
Let g = -24676 - -52061. Is g prime?
False
Suppose 4*z + 5*y - 1209764 = 0, -1209756 = -4*z - 18*y + 14*y. Is z prime?
False
Let g be 109/(-9) + 3/27. Let j = g + 23. Let q(k) = -k**3 + 16*k**2 - 21*k + 17. Is q(j) a composite number?
True
Let j = -15 + 23. Suppose 0 = -2*p + j, 4*u - 31609 - 5903 = -5*p. Suppose 7*h = 20*h - u. Is h composite?
True
Suppose 5*u - 4*u + 4*g = 4997, -5*g = 15. Let c = u + -2431. Is c prime?
False
Let s = -8 - 4. Let f be (-3)/(s/(-116)) + -3. Let m = f - -38. Is m a prime number?
False
Let t = 360 + 1948. Suppose t = 4*i - 2296. Is i a composite number?
False
Suppose -111*z - 3 = -112*z. Suppose 6*p = 5*p + 1, -2*k + 11555 = -z*p. Is k a composite number?
False
Let x(j) be the second derivative of 163*j**2 + 0 + 16*j + 1/2*j**3. Is x(0) composite?
True
Let p = 17095 + 31308. Is p a prime number?
False
Suppose d - 4*k - 654935 = 0, 3*d - 14*k - 1964839 = -19*k. Is d composite?
False
Let t(s) = 2985*s + 20. Let j(q) = -5969*q - 39. Let h(k) = -6*j(k) - 11*t(k). Is h(3) a prime number?
True
Suppose 87*a + 25*a = 346416. Let o be -1 + 1 + -2 - 1580. Let d = o + a. Is d composite?
False
Let y(j) = 15*j - 1. Suppose 37*q = 33*q + 40. Is y(q) prime?
True
Suppose -58*i = -99*i + 4043461. Is i a composite number?
False
Let x(t) = -40*t - 1. Let g(i) = -11*i + 14. Let u be g(4). Let k be (1/2)/(5/u). Is x(k) prime?
False
Let x(k) = k**2 + 5*k - 94. Let s be x(8). Suppose s*g - 12*g = -c + 6606, -5*c + 32986 = g. Is c prime?
False
Suppose 18*m - 51 = 57. Suppose - | {
"pile_set_name": "DM Mathematics"
} |
8
Calculate prob of sequence bn when two letters picked without replacement from nzbsz.
1/20
Calculate prob of sequence unr when three letters picked without replacement from {u: 1, n: 2, x: 2, k: 1, r: 2}.
1/84
Three letters picked without replacement from {z: 9, e: 4, a: 4}. What is prob of sequence eze?
9/340
What is prob of sequence td when two letters picked without replacement from tdpdpyp?
1/21
Calculate prob of sequence fyf when three letters picked without replacement from yfvemffevmfgf.
5/429
What is prob of sequence hr when two letters picked without replacement from {h: 4, r: 1, s: 7, x: 1, b: 3}?
1/60
Calculate prob of sequence vaa when three letters picked without replacement from ecaivca.
1/105
Two letters picked without replacement from {d: 5, j: 1, m: 3, p: 1}. What is prob of sequence mp?
1/30
Four letters picked without replacement from {u: 6, e: 5, m: 4}. Give prob of sequence emem.
2/273
What is prob of sequence kky when three letters picked without replacement from {q: 1, s: 5, y: 1, a: 1, k: 3}?
1/165
Three letters picked without replacement from jooooqtq. Give prob of sequence oqq.
1/42
Four letters picked without replacement from veeepseeetstessee. What is prob of sequence vest?
3/2380
Four letters picked without replacement from {r: 1, e: 6, i: 1, b: 5, j: 2}. Give prob of sequence jiee.
1/546
Two letters picked without replacement from rrrrprrrrrrrr. Give prob of sequence rp.
1/13
Three letters picked without replacement from bkbkkkkkkkk. What is prob of sequence kkb?
8/55
Four letters picked without replacement from tuuuuuotttu. Give prob of sequence uuou.
1/66
Calculate prob of sequence vvyy when four letters picked without replacement from {r: 1, t: 5, v: 6, y: 2, s: 2}.
1/728
Three letters picked without replacement from ssstssssssss. What is prob of sequence sst?
1/12
Calculate prob of sequence zzzz when four letters picked without replacement from pzpzzzpppp.
1/210
Two letters picked without replacement from {z: 1, x: 1, r: 1, i: 1, t: 1}. What is prob of sequence ri?
1/20
Three letters picked without replacement from {p: 1, y: 3, n: 3}. What is prob of sequence yyn?
3/35
Two letters picked without replacement from jjjmjdjmjjjjmjjmm. What is prob of sequence mj?
55/272
Three letters picked without replacement from lkwle. Give prob of sequence wek.
1/60
What is prob of sequence uq when two letters picked without replacement from squqssqsjsqss?
1/39
Two letters picked without replacement from {p: 15, y: 3}. Give prob of sequence py.
5/34
Three letters picked without replacement from iriiriiiiriiiiriiiii. What is prob of sequence iri?
8/57
Two letters picked without replacement from xuxuxx. Give prob of sequence xu.
4/15
Calculate prob of sequence qnr when three letters picked without replacement from qqnrn.
1/15
Three letters picked without replacement from twwyttkwtw. Give prob of sequence wky.
1/180
Four letters picked without replacement from sdsesssdesevsdedsses. What is prob of sequence dess?
5/323
What is prob of sequence bv when two letters picked without replacement from llmlldvmlmblvml?
1/105
Three letters picked without replacement from {c: 13, t: 6}. Give prob of sequence ttt.
20/969
What is prob of sequence ss when two letters picked without replacement from {m: 1, h: 14, s: 2}?
1/136
What is prob of sequence mjmj when four letters picked without replacement from {m: 6, j: 12}?
11/204
Two letters picked without replacement from {x: 1, j: 2, p: 1, c: 1}. What is prob of sequence jc?
1/10
Calculate prob of sequence ya when two letters picked without replacement from gbgabbbgyawbwabbbyb.
1/57
Calculate prob of sequence qod when three letters picked without replacement from {q: 1, o: 4, d: 3}.
1/28
What is prob of sequence qmae when four letters picked without replacement from {q: 3, f: 1, a: 1, e: 4, m: 5, u: 1}?
1/546
Three letters picked without replacement from {k: 2, s: 3, i: 1, n: 1, b: 3}. Give prob of sequence nsb.
1/80
What is prob of sequence iy when two letters picked without replacement from {y: 3, i: 5}?
15/56
What is prob of sequence nu when two letters picked without replacement from {u: 8, n: 6, h: 1}?
8/35
What is prob of sequence ycyc when four letters picked without replacement from {m: 2, u: 4, f: 1, c: 2, y: 5}?
5/3003
What is prob of sequence flf when three letters picked without replacement from llllflllllff?
9/220
Calculate prob of sequence iaj when three letters picked without replacement from ijjiaiaaa.
1/21
Four letters picked without replacement from uluuuuldlllluduuuluu. What is prob of sequence duld?
77/58140
Two letters picked without replacement from {m: 2, n: 10}. Give prob of sequence mn.
5/33
What is prob of sequence rr when two letters picked without replacement from aaaraaaaraaaaraaaaaa?
3/190
Calculate prob of sequence wj when two letters picked without replacement from {w: 1, k: 1, j: 1}.
1/6
Three letters picked without replacement from aoaa. Give prob of sequence aaa.
1/4
Two letters picked without replacement from dcsdbep. What is prob of sequence bp?
1/42
What is prob of sequence jqce when four letters picked without replacement from qjjjcee?
1/140
Two letters picked without replacement from pppsnccpl. Give prob of sequence pp.
1/6
Three letters picked without replacement from llllllluluulluul. What is prob of sequence lul?
55/336
Four letters picked without replacement from iididddd. What is prob of sequence ddid?
3/28
Calculate prob of sequence slss when four letters picked without replacement from {s: 12, l: 7}.
385/3876
What is prob of sequence ptt when three letters picked without replacement from tcplplpplpclpplcttpp?
3/380
Four letters picked without replacement from yyypzyzp. What is prob of sequence pzyy?
1/35
Calculate prob of sequence eee when three letters picked without replacement from {e: 9}.
1
What is prob of sequence vv when two letters picked without replacement from {v: 4, m: 3}?
2/7
What is prob of sequence xl when two letters picked without replacement from {x: 1, l: 4, m: 9, u: 1}?
2/105
Two letters picked without replacement from mhoomhmmmmmho. Give prob of sequence oo.
1/26
Three letters picked without replacement from wgrrgrggjrrrr. Give prob of sequence rwg.
7/429
Two letters picked without replacement from vxfrvdfor. Give prob of sequence do.
1/72
What is prob of sequence wa when two letters picked without replacement from {a: 3, k: 2, h: 3, w: 1, o: 6}?
1/70
Calculate prob of sequence uuw when three letters picked without replacement from wuwwuwwww.
1/36
Three letters picked without replacement from chhhhhhhhhhc. What is prob of sequence chh?
3/22
Three letters picked without replacement from jbjjbbjbbbbjjbjjbbbj. What is prob of sequence jjj?
7/95
What is prob of sequence bb when two letters picked without replacement from bbbbbbibbbbb?
5/6
Calculate prob of sequence ne when two letters picked without replacement from {n: 1, a: 1, e: 1}.
1/6
What is prob of sequence qur when three letters picked without replacement from {q: 1, u: 1, i: 1, r: 4, k: 2}?
1/126
Two letters picked without replacement from {z: 1, g: 1, a: 5, b: 4, f: 4}. What is prob of sequence za?
1/42
Two letters picked without replacement from yws. What is prob of sequence ws?
1/6
Four letters picked without replacement from xxuxxxxxuu. What is prob of sequence xxux?
1/8
Calculate prob of sequence jok when three letters picked without replacement from jojoxkj.
1/35
Three letters picked without replacement from bjlacjblljjlljj. What is prob of sequence bbl?
1/273
Three letters picked without replacement from jzvzvjzvz. What is prob of sequence jvv?
1/42
Three letters picked without replacement from {b: 5, h: 1, t: 14}. What is prob of sequence bth?
7/684
Calculate prob of sequence vv when two letters picked without replacement from vvdd.
1/6
Calculate prob of sequence kp when two letters picked without replacement from peikpsesssse.
1/66
Two letters picked without replacement from qqqqqnrqrqqqqf. What is prob of sequence rf?
1/91
Calculate prob of sequence hhtm when four letters picked without replacement from {h: 2, t: 3, p: 4, k: 6, m: 1}.
1/7280
What is prob of sequence qoe when three letters picked without replacement from oheeehqeheeeeee?
1/273
What is prob of | {
"pile_set_name": "DM Mathematics"
} |
e d(7). Suppose k*f + 2*f = x. Solve -3*n = 4*v + 31, n = -3*n - 2*v - f for n.
-5
Let t(r) = 2*r - 10. Let k be t(8). Let o = k + -2. Solve 0 = 5*w + o*v - 4 - 3, -4*v - 17 = -3*w for w.
3
Let v(s) = -7*s**2 + 3 - 5*s**3 + 2*s**3 - 13 - 2*s + 2*s**3. Let f be v(-7). Solve -f*x - 12 = -2*z, -z = -x - 5*z + 6 for x.
-2
Let u = -2 - -2. Suppose u = -5*b + 6*b. Suppose -p + 9 = -d, 0 = -b*d + 4*d + 12. Solve -2*a + p = -n, -4*a - n + 12 = 2*n for a.
3
Let s(y) = -y**2 - 9*y + 2. Let j be s(-7). Let l = -11 + j. Solve g + 4 = l*p + 19, 0 = g for p.
-3
Let x(r) = 9*r + 2. Let f be x(2). Suppose a + 0*b = 2*b, 5*a = 5*b + f. Let p be 1/((-14)/a - -2). Solve 5*w - 3*j = p, -5*j = -3*w - 2*j for w.
2
Let l(z) = -z**2 - 6*z - 4. Let p be l(-4). Suppose p*w = 5 - 37. Let h be 8*w*2/(-4). Solve 4*t - h = -n - 3*n, 20 = 4*n for t.
3
Let b(r) = r**3 - 7*r**2 + 2. Let k be b(7). Let p = 9 + -5. Suppose k*z = p*z. Solve 3*g + 5*u = 2*u + 21, z = -5*g + u + 17 for g.
4
Let k = 11 - 15. Let d be (k/(-10))/((-1)/(-5)). Solve 5*s = -d*q + 2, -2*s + 5*q = 3*s + 5 for s.
0
Let t(c) = -c**2 - 8*c - 10. Let b be t(-6). Solve -2*m = -4*o - 12, -o + b = m - 1 for o.
-1
Let c = 6 + -3. Solve -2*r + 11 = t + 2, 2*t - c*r = 4 for t.
5
Let y(b) = -2*b - 6 + 0 + 3 + 6. Let n be y(-8). Suppose 3*q = n - 4. Solve 0 = -5*u + 4*g - 45, 3*u + 3*g + 25 = q*g for u.
-5
Let r(j) = j + 17. Let l be r(-13). Solve -5*x + 3*k = 23, -4*x - l = k + 11 for x.
-4
Let z(n) = 5*n**3 - 2*n**2 - n. Suppose 0*u = -5*u - 5. Let m be z(u). Let x = m + 11. Solve -5*p - 10 = x*k, 2*p = k - 4 - 3 for p.
-3
Suppose -4*i - 3*d + 20 = -2*d, -4*i + 20 = -d. Suppose -i*p - 2*g + 9 = 0, -p = -3*g - 8 - 4. Solve 5*s = 5*z - 20, p*s + 3*z = -s - 23 for s.
-5
Suppose 8*v = 3*v + 10. Solve -a + r + r = -1, v*a + 5*r + 16 = 0 for a.
-3
Let y be 2*(2 + 0/1). Solve 7*h - 2*h + 4*i = -35, 3*i = y*h - 3 for h.
-3
Let i = -18 + 38. Solve 0 = -4*c + i, 2*c + 0*c - 13 = -3*n for n.
1
Suppose -3*b + 4 = d - 14, 2*d - 5*b - 58 = 0. Solve -3*v = o - 4*v - 1, o = -4*v - d for o.
-4
Suppose -2*q - 3*q - 27 = -3*o, -q + 13 = 4*o. Solve -o*z - k = -7, -k = z + 3*k + 17 for z.
3
Let r be 8/5*(-20)/(-8). Let x be 93/(-9)*-3 + 4. Solve -x = m - 6*m + 5*j, -12 = 4*m + r*j for m.
2
Let b(y) = y - 2. Let r be b(6). Suppose x - 2*x = 0. Solve 2*u - 12 = -2*n + 3*n, -r*u + 4*n + 28 = x for u.
5
Let j be 1/((-5)/(-5))*0. Suppose 5*u + 4*m = -5, 0 = u - 0*u - 3*m - 18. Solve -s + u*z - 7 = j, -s + 4*z = -0*s + 8 for s.
-4
Let p(b) = -b**3 - 5*b**2 - 4*b - 2. Let k be p(-5). Let m(u) = 2*u - 7. Let i be m(6). Let j = 1 - -1. Solve 1 = 2*c + 7*t - j*t, -k = -i*c + 3*t for c.
3
Let w = 18 - 14. Suppose -w*h + 0*h + 24 = 0. Solve h*j = 2*c + j + 5, -j - 6 = c for c.
-5
Let o be (48/30)/(4/10). Solve o*v = -10*g + 5*g - 26, -2*g = 4*v + 20 for v.
-4
Suppose 4*c + 3 = a - 3, 4*c + 24 = 4*a. Let j be -1*(-7 - (2 + 0)). Solve -4*o + a = -m - j, -3*m - 10 = -5*o for o.
5
Suppose -29 = -5*j - 4. Let l be 6/j*50/20. Solve 2*n + 2*n = 3*c - 20, -10 = -l*c - n for c.
4
Suppose -r = -4*t + 8, -5*t - 3*r + 17 + 10 = 0. Solve t*z = 7*l - 3*l + 25, 3*l + 12 = 0 for z.
3
Suppose 3*w + 3*y = -y + 32, 5*y = -4*w + 41. Solve w = -4*q - 0*h + 3*h, h + 4 = 0 for q.
-4
Let g be ((-8)/10)/(2/(-10)). Let f = 6 - -2. Solve -13 = -c - 4*r, -g*r + 2*r = -f for c.
-3
Suppose 0 = n - 5*y - 16 - 10, -5*n + y = -82. Solve o - n = -4*t, o - 2 + 10 = 4*t for o.
4
Let r = -1 + 7. Let s(u) = -11*u - 9 + 5*u + 8*u. Let c be s(r). Solve -c*n - 2*h - 1 = 0, -h - 2 = 3 for n.
3
Suppose 2*x - 15 = -3*x. Suppose 1 = x*h + d, -d = -5*h + 3*d - 4. Suppose -t + 3 = -h. Solve -y - 11 = 3*u + 2, 0 = -4*u + t*y for u.
-3
Let j = -16 - -19. Let g be (6 - j)*(-2)/(-3). Solve -4*q - 2*c = g*c, c = 2*q + 3 for q.
-1
Let a = -9 - -13. Suppose -p = a*p - 10. Solve 5*m - 3*f - 16 = 0, p*m - 3*f - 8 = -f for m.
2
Let p be 0 - (-6 - (-12)/4). Solve 1 = -3*r - 4*s, -3*r = 2*s + p + 2 for r.
-3
Suppose -o - 3*t = 9, 0*o + 9 = -4*o - 3*t. Suppose 5*c - 7 - 13 = 0. Solve o*k - 20 = c*q + 2*k, q + 2*k = -11 for q.
-3
Let c(z) = z**2 + 3*z + 2. Let b be c(-3). Suppose b*f + 0*f = 16. Let y = 13 - f. Solve 0*w - w - y*o = 7, -3*w - 3*o = -3 for w.
3
Let y(s) = -s**3 - s**2 + 3. Let a be y(0). Suppose -21 = -j + a. Solve 5*n - j = -c, n = 4*c + 5*n - 32 for c.
4
Suppose 2*a = a - 7. Let t = a + 13. Solve 2*q + 2 = -2*w - t, -2*w - 13 = -3*q for w.
-5
Let t be 2 + 4/4 - 0. Suppose 0 = t*y - 4*y. Solve y = -5*n + 3*n + 4*c + 6, -3*n + 8 = -5*c for n.
1
Let a = -4 - -7. Solve 0 = -4*x - 5*b - 7, 2*x - a*b = -0*b - 9 for x.
-3
Let p be 2/(-6) - (-16)/3. Let o(u) = u + 15. Let h be o(-12). Solve h*l + 17 = 5*f, p*l + 15 = -6*f + f for l.
-4
Let c(y) = -y + 24. Let f be c(16). Solve -4*a - 8 = 0, -f = -2*z + z + 2*a for z.
4
Let w(y) = -y + 16. Let h be w(11). Solve h*z + 22 = 3*m, -5*z + 6*m - m = 30 for z.
-2
Let m = 1 - -3. Let p = 12 - m. Let r = p + -3. Solve 2*y + 4*x = -0*y - 14, r*y + x = -26 for y.
-5
Let r be 10 + -1 + (-2 - -2). Suppose -6 = -r*q + 6*q. Let g be (0 + 2)/(0 - 2) + 4. Solve -1 = -5*y - 3*z, y + q + g = 2*z for y.
-1
Suppose -5*n = -4*h - 145, -5*h = -4*n - 0*h + 125. Suppose -5*a = -n - 45. Solve 0 = 5*t - v + 26, -3*t = -t - 4*v + a for t.
-5
Let t = -2 - 0. Let h be 85/25 - t/(-5). Solve 0 = z + n + 3, z - n - 2 = -h for z.
-2
Let m = -50 + 52. Solve -3*s + 3*w = -0*s + 6, -2 = s + m*w for s.
-2
Let h be -6*4/(-2) + 0. Suppose 0 = 4*i - 4 - h. Solve i*o - 3*t = 3*o + 14, 5*t + 25 = 0 for o.
-1
Suppose 2*y - 24 = -y. Solve 4*i - h + 0 - 10 = 0, h - y = -5*i for i.
2
Let p(b) = -b**2 - 9*b + 10. Let o be p(-9). Let v = o + -7. Solve 0 = -2*q - v*n, 4*n - 1 = 7 for q.
-3
Let o be (-189)/12*(4 + -8). Suppose o = 4*b - b. Solve -b = -3*l - 0*l + 5*h, 7 = -l - 3*h for l.
2
Suppose 4*k = 7 + 5. Suppose -2*t + 9 = u, -4*u + 4 = -k*t - 10. Solve 19 = j - 4*f, 3*j + 3*f + 1 = -t for j.
3
Suppose n = -4*o - 8, 7*n - 8 = 2*n - 4*o. Suppose 0 = -0*m - m. Let g be 5/2 - (-1)/2. Solve 3*j = -i - 3*i, m = n*j + g*i - 7 for j.
4
Suppose 0 = t - 1. Let u(b) = -b**3 - 3*b**2 + 4*b + 1. Let l be u(-4). Let f be t + l - (-1 - -1). Solve -5*c + 13 = f*g, 7 - 18 = -3*c + 2*g for c.
3
Let u be 7/(28/(-16))*-1. Suppose -u*a - a = 0. Solve 3*d - 24 = -5*y, 5*y + 2*d - 5*d - 6 = a for y.
3
Suppose 4*p + 1 = 5. Let i be 4/(p*2/1). Solve 5*m - i*l = -6, -l - 10 + 2 = 3*m for m.
-2
Suppose 0 = -3*u + 2*u. Suppose 2 = -2*w - l + 9, 3*w - 3*l = 33. Suppose 3*j = j + w. Solve -j*k + 9 = -4*q - 20, 2*k - 6 = u for q.
-5
Let i = 16 + -10. Let n be (-1 - -2)/(1/i). Let j be ((-15)/(-4))/((-3)/(-12)). Solve -j = l - 0*l + 5*b, 0 = 3*l - 2*b - n for l.
0
Let j(b) = 4*b + 4. Let l be j(-7). Let q = l + 27. Solve -4*z - 4 - 6 = q*c, -4*z = -2*c for c.
-2
Let b(s) = -s**2 + s - 4. Let k be b(-4). Let r = 35 + k. Solve -4*x - 2 = -3*o, -2*x + 1 + r = 5*o for x.
1
Suppose -p + 11 = -3. Solve 5*s + 3*k - 20 = 0, -5*s = 2*k - 1 - p for s.
1
Let b(z) = z**3 + 7*z**2 + z + 8. Let v be b(-7). Let y be (-3 + 2 + 1)*v. Solve y = -3*n - 4*d - 10, n = 3*n - 3*d - 16 for n.
2
Let h = -13 - -26. Let q = -8 + 12. Solve q*y + w = 2 + 9, h = -3*y - 5*w for y.
4
Let n = 24 - 11. Suppose -4*x = -s + 16, 19 = 3*s - 2*s - x. Suppose 0 = -4*q + s, 4*i - 4*q + n = q. Solve -5*z + 2*d + 1 = -d, 3*z = 3*d + i for z.
-1
Let k be 6/(-12)*(-1 + -1). Let o be 0/(k*(2 - 3)). Solve o = 3*a + 2*a + 5*x + 20, -4*a = -2*x + 16 for a.
-4
Suppose -16 = 2*p - 6*p. Suppose -x - 129 = -p*x. Solve 4*h + 20 = 0, -5*c + x - 18 = -5*h for c.
0
Let x be -2*(-3)/6*-11. Let q be ((-6)/(-8))/(x/(-44)). Solve -4*r - 4*j = 24, -q*r + j - 2 = -0*r for r.
-2
Let p(o) = -o**3 + 6*o**2 + 7. Let h be p(6). Suppose -4*q - 8 = -2*q. Let w = q + h. Solve 5*y + 3*u - 23 = 4*u, -w*y + 2*u = -11 for y.
5
Suppose 7 + 5 = 4*b. Suppose b*t - 5*t = -26. Solve 2*h - 10 = -v, t - 3 = 3*h - v for h.
4
Let l = -8 + -7. Let o = l - -19. Solve -2*v = o*c + 19 + 1, -3*c = -2*v + 8 for c.
-4
Suppose b + 1 = 2, 0 = -3*a + 2*b + 16. Solve -5*r - 23 = 4*w, w - a*r + 2*r = 10 for w.
-2
Let o be -3*(-2 + 1) - 2. Solve 0 = 2*f - g + 15, g = 4 + o for f.
-5
Suppose -5*m = -1 - 9. Suppose -3*s = -2*a + 7, -a - 14 = 3*s + 4*a. Let v be ((-4)/3)/(2/s). Solve -4*c - u - 16 = v*u, m*u + 7 = c | {
"pile_set_name": "DM Mathematics"
} |
hat is the highest common divisor of c and 27?
9
Suppose m - 4*l = -8*l + 36, -4*l + 4 = -m. Let f be (0 + -30)*m/(-10). Calculate the greatest common factor of f and 12.
12
Let v = 164 - 144. Let g(c) = -c**2 - 4*c + 4. Let i be g(-4). Suppose -8 - 4 = -4*b, -5*b = i*m - 95. What is the highest common divisor of m and v?
20
Let m(c) = 49*c + 71. Let g be m(9). What is the highest common divisor of 96 and g?
32
Suppose 0 = -3*x - 6, 5*d - d + x = 298. Suppose 2*i + 7*u - 42 = 10*u, -3*i = 2*u - 37. Calculate the highest common divisor of d and i.
15
Let r be (30/8)/((-19)/(-5320)). What is the highest common divisor of 140 and r?
70
Suppose -4*v = -3*p + 4, -5*p - v = -29 + 7. Let q be ((-20)/(-4) - p)*92. Suppose -2*o = -q - 28. Calculate the greatest common factor of o and 20.
20
Let k = 88 + 137. What is the highest common divisor of 50 and k?
25
Suppose -23*y = -15*y - 56. Let n(k) = 21*k - 66. Let l be n(y). What is the highest common factor of 54 and l?
27
Let y = 48 - 45. Suppose y*a = -0*n - n + 28, 4*n + 32 = 4*a. What is the greatest common factor of 99 and a?
9
Let m(c) = 3*c**2 + 24*c - 59. Let g be m(3). Suppose 4*l = 3*u + 33, -15 = -0*u - 3*u. Suppose l*n - g = 4*n. Calculate the greatest common factor of 40 and n.
5
Suppose -8 = o + o, -3*o + 803 = 5*k. Suppose k = 5*m - 17. Calculate the highest common divisor of m and 4.
4
Let p(k) = -8*k - 12. Let d be p(-3). What is the highest common divisor of d and 276?
12
Let r be (-8)/56 + ((-132)/7 - -1). Let j(c) = c**3 - 5*c**2 - 4*c + 3. Let t be j(3). Let q = r - t. What is the highest common divisor of 9 and q?
9
Let p be 10727/(-68) + 1/(-4). Let f = 348 + p. Calculate the highest common divisor of 38 and f.
38
Suppose 25 = -10*v - 735. Let f = v + 196. Calculate the highest common divisor of f and 40.
40
Suppose 183 - 103 = 8*m. Calculate the greatest common factor of m and 1250.
10
Suppose 5*w - 36 = -4*w. Suppose 5*c - 36 = -7*i + 5*i, w*i + 3*c - 58 = 0. What is the greatest common divisor of 117 and i?
13
Let i = -99 - -403. Let p be 6 + 35 + (9 + 0)/(-3). What is the greatest common factor of p and i?
38
Suppose -5*u + 2*u = -189. Let q = u - 21. What is the greatest common divisor of q and 6?
6
Let a(i) = 3*i + 81. Let h be a(5). Calculate the greatest common factor of h and 72.
24
Suppose -r - 27 = 4*l - 515, -r = l - 119. What is the greatest common factor of l and 3?
3
Suppose -24*r - 263 = -1871. What is the greatest common divisor of r and 134?
67
Suppose -6*p + 7467 = 1383. Calculate the highest common factor of 312 and p.
78
Let n = 102 - 100. What is the greatest common divisor of n and 16?
2
Let n = -887 - -976. What is the greatest common divisor of 2047 and n?
89
Suppose c = -120 + 128. What is the greatest common factor of c and 32?
8
Let q(t) = -t + 28. Let i be q(0). Suppose 8*k - 6*k = 6. Let u be (-1341)/(-6) - k/6*-1. Calculate the greatest common factor of i and u.
28
Let t be (9 + -8)/2 - 54/(-4). What is the greatest common divisor of 2 and t?
2
Let a(d) = 44*d - 285. Let l be a(8). Calculate the greatest common divisor of 201 and l.
67
Suppose -17*j + 25*j - 56 = 0. Calculate the greatest common divisor of 1351 and j.
7
Suppose 0*t = 2*t - 6. Suppose -t*s + 15 + 0 = 0. Suppose -3*j - 4*p + 246 = -2*p, 3*j - s*p - 225 = 0. What is the greatest common divisor of j and 10?
10
Let z(b) = -b**3 - 8*b**2 + 6*b - 12. Let t be z(-10). Let l be 1 + (-3 - (-32 - 2)). What is the highest common divisor of t and l?
32
Let m(b) = -b**2 + 12*b. Let d be m(11). Suppose 0*u = u - d. Let y = -4 + u. Calculate the highest common divisor of y and 7.
7
Suppose 0 = 3*n - 5*d - 1, -5*n = 5*d - 15. Suppose -i + n*i + 7 = o, 53 = 3*o + 5*i. What is the greatest common factor of o and 99?
11
Suppose -14*q - 8 = -10*q. Let z be (-7 + 10)/(3/q). Let u(t) = t**2 - 3*t - 7. Let k be u(z). What is the greatest common factor of 33 and k?
3
Let y(j) = -j + 13. Let i be y(-9). Suppose x = l - i, 3*l - l - 3*x = 48. What is the greatest common divisor of 198 and l?
18
Let t(h) = 4*h - 104. Let w be t(35). Calculate the highest common factor of 258 and w.
6
Suppose 0*t + t = 10. Suppose 7*n - 5*n - 140 = -5*i, 0 = 3*i. Suppose 0 = 5*m + 4*s - n, -2*s + 0 = -10. What is the greatest common divisor of m and t?
10
Let c(q) = -8*q - 2 + 20*q + 350*q. Let j be c(1). What is the highest common factor of 45 and j?
45
Let o(b) = -b + 10. Let k be o(7). Let f(r) = -r + 28. Let x be f(16). What is the greatest common divisor of k and x?
3
Let l(p) = -6*p**3 - p - 2. Let v be l(-1). Suppose 0 = -2*x + v*m + 102, 9*x + 3*m = 4*x + 193. Calculate the greatest common divisor of x and 369.
41
Let z(p) = -8*p**2 + 26*p**2 + 7*p - 4 - 22*p**2 + p**3. Suppose -v = v - 8. Let n be z(v). Calculate the highest common divisor of n and 60.
12
Suppose 3*z + 2*p = -12, -2*z + p = 3*z + 33. Let f be (16/3)/(z/(-9)). Suppose -12*t + 24 = -f*t. Calculate the greatest common factor of t and 30.
6
Let a = -4 + -4. Let h = -4 - a. Suppose i = -h*i + 550. What is the highest common factor of 10 and i?
10
Let l(g) = 10*g**2 + 4*g - 1. Let t be l(-3). Let h = 41 - 30. What is the greatest common divisor of h and t?
11
Let b = -350 + 566. Calculate the highest common factor of b and 180.
36
Let a be ((-628)/(-14))/(6/21). Let q = a + -150. Calculate the greatest common factor of q and 1.
1
Let k = -35 - -75. Let p be 434/(-124)*52/(-7)*1. Let u = k - p. Calculate the greatest common divisor of 7 and u.
7
Suppose -2*j - 5 = -17. Let q = 0 + j. Suppose -4*b - 2*r + q = 0, 1 + 6 = 5*b + 3*r. Calculate the greatest common factor of b and 18.
2
Suppose 6*m = 72 + 96. Calculate the highest common factor of 700 and m.
28
Suppose -2*j = 4*j - 30. Suppose -j*s + 476 = 5*m + 21, 5*s = -m + 439. Calculate the greatest common factor of 58 and s.
29
Suppose -2*v + 5401 = -11559. Let r be v/50 - 4*2/(-20). Calculate the highest common divisor of r and 10.
10
Let d = 28 + -24. Suppose -4*w + 59 = -w + d*o, 3*o = w + 2. What is the greatest common divisor of w and 91?
13
Let u(a) = a**3 + 4*a**2 + 1. Let t be u(-3). Let p(f) = f - 3. Let i be p(-2). Let o be i*(-32*1)/4. What is the highest common divisor of o and t?
10
Let o be -1 + (-7)/(-2) - 3/(-6). Suppose 0 = 2*k + o*k - 100. Suppose f + 10 = 3*f. Calculate the greatest common factor of f and k.
5
Let m(o) = -o**2 - 8*o - 2. Let k be m(-7). Suppose 2*c - 2*z = 6, k*z = -7*c + 3*c + 57. What is the greatest common divisor of c and 6?
2
Let g be (3/9)/(3145/(-1050) + 3). What is the highest common factor of 875 and g?
35
Let i = -39 - -43. Suppose -5*m + 370 = 5*a, i*a - 7*a - 268 = -4*m. Calculate the highest common divisor of 10 and m.
10
Let c be (-85)/(-3) - 4/12. Let n(x) = -13*x. Let p be n(-1). Let h(j) = j**2 - 11*j + 2. Let r be h(p). What is the highest common factor of c and r?
28
Suppose 5*s + 742 = 3*s. Let d = 536 + s. What is the greatest common divisor of d and 15?
15
Suppose 110*l - 104*l - 684 = 0. What is the highest common factor of 3 and l?
3
Let j be 7 - 1*(4 + -5). Let h(x) = 2*x + 8. Let k be h(6). What is the greatest common factor of k and j?
4
Let m be (-27)/5 - 2/(-5). Let t(q) = -q - 3. Let b be t(m). Let h be -2 - (-1)/b*46. What is the greatest common divisor of h and 42?
21
Let y be 6 - -1 - (-565 - 52). Calculate the highest common divisor of 48 and y.
48
Let q(r) = -38*r**3 - r**2 - 2*r - 1. Let i be q(-1). Let z = -4 + i. Calculate the highest common factor of z and 85.
17
Suppose 34 = -5*i + 154. Suppose 11 = 4*t + 5*r - 1, -4*t - 2*r = -i. Let u be (1/(-2))/((-2)/256). Calculate the highest common divisor of u and t.
8
Let c(s) = -s**3 - 5*s**2 + 78. Let j be c(0). What is the greatest common divisor of 130 and j?
26
Let a(w) = -w**2 - 7*w + 1. Let d be a(-6). Suppose -d*t - 10 + 52 = 0. Calculate the greatest common divisor of t and 12.
6
Let q(a) = -64*a - 180. Let k be q(-3). What is the highest common divisor of k and 92?
4
Let d be (-8)/7 - 6731/(-371). What is the greatest common factor of d and 5?
1
Suppose 4460*p - 4466*p + 2550 = 0. What is the greatest common divisor of 102 and p?
17
Let z(v) = -84*v + 33. Let b(d) = 126*d - 50. Let c(m) = -5*b(m) - 8*z(m). Let u be c(2). Calculate the greatest common factor of u and 10.
10
Suppos | {
"pile_set_name": "DM Mathematics"
} |
Is t a composite number?
True
Let h = -8433067 + 12049530. Is h prime?
True
Let d = 256978 - 129635. Is d prime?
True
Suppose g - 9*g + 24 = 0. Let b = g - 12. Let y = b + 95. Is y composite?
True
Suppose -3*n - 30 = -2*g + 3*g, -5*n - 57 = 4*g. Let z(y) = 20*y**3 + 22*y**2 + 9*y - 5. Let x be z(n). Is x/6*(11/(-2) - -4) a composite number?
False
Let r(u) = 10*u + 11. Let z(s) = s**3 + 11*s**2 - s - 5. Let i be z(-11). Is r(i) composite?
False
Suppose 0 = -33*r + 30*r + 9. Suppose 0 = t - g - 206, 0*g + 5*g = r*t - 620. Is t a prime number?
False
Let n be (3*(-410)/(-6))/((-3)/174). Let f = -147 - n. Is f composite?
False
Suppose 0 = 4*c - 2*c + 2, s - 4 = 4*c. Suppose -5*d - 4*q + 20 = s, 7*q = -d + 2*q + 4. Suppose -d*z + 3440 = -2676. Is z a prime number?
False
Suppose s - 354 = 5*i + 94, 5*s - 2200 = 5*i. Suppose -447*w = -s*w - 3771. Is w composite?
False
Let m(c) = c**3 + 7*c**2 + 11*c + 5. Suppose 2*i + 35 = -5*i. Let w be m(i). Suppose -2*t + k - 6*k + 163 = w, -3*t + 5*k + 282 = 0. Is t composite?
False
Let w = -298332 + 458831. Is w a prime number?
True
Let x(k) = -76*k + 191. Let t be x(37). Let i = t - -8602. Is i a composite number?
False
Suppose 1106 + 586 = 9*t. Let j = t - -332. Suppose -3*i + i + j = 2*n, 3*n + 2*i - 779 = 0. Is n prime?
False
Let a(t) = t**2 - 6*t + 2. Let q be a(-4). Suppose q*s = 41*s + 457. Is s a composite number?
False
Suppose 4*s - 2*s = -3*f - 15, -4*s = -4*f. Let y be (4/18 - (-14)/18) + s. Is (-3)/((-27)/14673) + y/(-3) composite?
True
Suppose -62*y + 60*y - 1368 = 0. Let f = -476 - y. Suppose s - i - f = 0, -5*s = 2*i - 3*i - 1052. Is s a prime number?
True
Let u(q) = 525*q**2 - 8*q - 68. Is u(-9) a prime number?
False
Suppose -53 = 3*g - 2*d - 166, -2*d + 72 = 2*g. Suppose -4*h - g + 57 = 0. Is -4 + 12373/h - 4/(-10) a composite number?
True
Suppose 82*f + 513023 = 975299 + 5863450. Is f composite?
True
Let a = -99049 + 216002. Is a a prime number?
True
Suppose 51*q = 26*q + 62*q - 3892363. Is q composite?
False
Suppose l - 5*z = 93068, -4*l - 164230 = 3*z - 536525. Suppose 0 = 5*y + 3*v - l, -4*y = 2*v - 33585 - 40875. Is y a prime number?
True
Let h be 1117*(-4)/((-4)/(-1)). Suppose -520 = j + 40. Let d = j - h. Is d a composite number?
False
Let w = 1114 + -3905. Let j = 11256 - w. Is j prime?
False
Let q(j) = 10*j**2 - 5*j + 7. Let x be q(-11). Let v(h) = -h**2 + h - 631. Let p be v(0). Let z = x + p. Is z composite?
False
Let i be ((-2076)/8)/((-1)/2). Suppose 3*x = 4*c + 1 - 7, 4 = 5*c - 2*x. Suppose -v + i = -c*v. Is v a composite number?
True
Suppose -3*o - 4*q + 86077 = -3*q, -2 = q. Suppose 7*a = -4102 + o. Is a a composite number?
True
Suppose -2 = a, -5*x + a - 12189 = -2*a. Is (x - -28)/(0 - 1) composite?
False
Let r = 842 + 7739. Suppose -8434 = -f + 3*d, 0 = -4*f - 2*d - r + 42247. Is f a composite number?
False
Let g be (-13)/(-26) + (1 - (-4691)/2). Suppose 6*q - g = 347. Is q a composite number?
False
Suppose 43*i - 41*i = 53582. Is i composite?
True
Let u = 47531 - 15624. Is u a prime number?
True
Suppose -18766 = 18*x - 48088. Is -1*(6 + (0 - x)) composite?
True
Let g = -183 - -259. Let z = 71 - g. Is (-24)/(-9) - z/15 - -1171 a composite number?
True
Suppose -v + 10 - 2 = -o, -5*o = 3*v - 24. Let n(y) be the first derivative of -y**4/2 + 7*y**3 - 5*y**2 + 11*y - 1. Is n(v) a composite number?
False
Suppose 388 = 2*n - 4*h - 0*h, 2*n - 391 = 5*h. Suppose 4*b - n = -4*u, 3 = -2*b - 3. Let l = u - 25. Is l a prime number?
False
Suppose 0 = 5*a + 5*l - 43175 - 35465, -62913 = -4*a - 5*l. Is a composite?
False
Let o(s) = -s**3 + 2*s - 1. Let r be o(1). Suppose 3*g - 19037 - 7618 = r. Is g a composite number?
True
Let m be 1*264/(-36)*(-6 - 0). Suppose -m*a + 145390 + 262798 = 0. Is a a prime number?
True
Let v = -322 - -256. Is 6/(v/(-44)*4/10533) composite?
True
Let v = 142120 + 69457. Is v a prime number?
False
Suppose 44762 = 2*l + m + 14970, -29786 = -2*l - 4*m. Is l a composite number?
False
Let p(j) = j**2 - 51*j + 312. Let s be p(44). Suppose -4*i = -6*i + 8. Suppose -1681 = -i*b + 3*k - 281, 0 = 2*b - s*k - 710. Is b a prime number?
True
Suppose -3*y = 3, -4*y + 6*y = c - 464. Suppose -c*i + 454*i = -443512. Is i a prime number?
True
Suppose -25060 = -4*r - 4*v, -v - 31301 = 11*r - 16*r. Let x = r - 1856. Is x composite?
True
Let t(y) = -y**3 + 7*y**2 + 5*y - 3. Let p = 62 - 55. Let k be t(p). Suppose -s = -5*m + 707, 0 = -2*m - s + 255 + k. Is m composite?
True
Suppose -24948 = -k + 5*t + 8061, -5*t = -5*k + 164965. Is k a composite number?
True
Let c(n) be the second derivative of -6*n**5 - n**4/2 - 5*n**3/3 + n**2 + 170*n. Is c(-2) composite?
True
Suppose 1947 = 3*y + 2*j, -j = 5*y + j - 3245. Let k = 310 + y. Let c = -562 + k. Is c prime?
True
Suppose 2*z - 3604 = -3*r, -5*r + 5*z + 5129 = -861. Let o = 1985 - r. Is o composite?
True
Let q = 5026 - 287. Suppose 0 = 5*s - 3*f - 2948 - 20793, -s = 4*f - q. Is s a prime number?
False
Suppose 31 = 4*s + 23, 3*s = 4*d - 264878. Is d composite?
False
Let v = 272 - 293. Let r(p) = -640*p - 73. Is r(v) composite?
False
Let k = -322823 - -671812. Is k composite?
False
Let w(d) be the first derivative of -4/3*d**3 + 9*d + 1/4*d**4 - 11/2*d**2 + 12. Is w(6) a prime number?
False
Suppose -199*k + 14710094 = -101*k. Is k composite?
True
Suppose 2*u - q - 15012 = -2347, 4*q = 4*u - 25324. Suppose 0 = -2*n + 4*i + u, 0 = -2*n - i - i + 6322. Is n composite?
False
Let j(c) = -918*c**3 + 9*c**2 + 128*c + 522. Is j(-5) a composite number?
True
Let y be (3*-3)/((-14)/(-21154))*1. Is y/6*(-44)/66 a prime number?
True
Suppose -4*o - 12 = 0, 0 = 3*b - 43*o + 38*o - 800406. Is b composite?
False
Suppose 4*z - 5 = 55. Suppose -z*h + 11045 + 10540 = 0. Is h a composite number?
False
Let t be 10/(-6) + (-31840)/(-15). Let i = -995 + t. Let q = i - 641. Is q prime?
False
Let x(h) = 13*h**2 + 129*h - 10. Let d be x(-10). Let y(v) = 7*v + v**2 - 8*v + 0*v + 2722. Is y(d) a composite number?
True
Suppose -2*t = 2*q - 20326, 4*q - 8165 = -2*t + 32485. Let o = -2639 + q. Is o prime?
True
Let w(y) = 113*y + 5. Suppose 5*t - 245 = -5*m, t - 2*m = 54 - 11. Suppose -4*g + t = -0*g - c, 0 = 4*c - 4. Is w(g) prime?
True
Let k(a) be the third derivative of 11*a**5/10 + 5*a**4/12 + 17*a**3/6 - 2*a**2 + 10. Is k(-7) prime?
True
Let b = 269 - 0. Suppose -3*n - 1235 = -b. Let r = 57 - n. Is r a prime number?
True
Let u = 48390 + -21856. Is u a composite number?
True
Suppose -5*r + 5*f = -26106 - 349609, 0 = 2*r + 3*f - 150316. Is r prime?
True
Is 132908 + 7 - (54/(-9) + 14) prime?
False
Suppose -5*z - n + 20 = n, 10 = -5*z + 4*n. Suppose -657 = -j - z*j. Suppose 0 = c + 5*d - j, 2*c = -2*d + 5*d + 373. Is c prime?
False
Let w = -233 - -1035. Suppose b - 5*h - w = 0, h + 2*h = b - 804. Suppose 2*j - 5*d - 1613 = 0, 2*j + b = 3*j - 2*d. Is j a composite number?
False
Suppose 755936 = 98*x - 2814498. Is x a prime number?
True
Suppose -3*q + 40 = -2*i, 3*q + 2*i = 7*i + 46. Suppose q*a - 24861 = 6111. Is a prime?
False
Suppose 8*g - 4616 = 4*g. Let t = 6553 - g. Is t prime?
True
Let q(r) = 1274*r - 2594. Is q(32) a composite number?
True
Suppose -3*t = 4*x - 5646923, -2*t + 3*x + 4266886 - 502248 = 0. Is t prime?
True
Let d(x) = 2*x + 12. Let b be d(-5). Let a(t) = -6*t + b + 21*t + 16*t. Is a(5) composite?
False
Let r(x) be the third derivative of x**4/24 - 7*x**3/3 + 18*x**2. Let j be r(18). Suppose 559 + 457 = j*m. Is m a prime number?
False
Let f(i) = i**3 - 20*i**2 - 24*i + 34. Let m be f(10). Let q = 16528 - m. Is q prime?
False
Suppose 2*m + 45*k - 42*k = 218038, 0 = -4*m - k + 436056. Is m a prime number?
True
Suppose 3*f + 144489 = 8*f - 4*y, y = f - 28897. Let m = f + -15514. Is m a prime number?
False
Let a be (-629)/148 + (-1)/(-4) - -123359. Suppose -3*f = v - 74013, 0*f + 5*f + v - a = 0. Is f composite?
False
Let m be (-3)/(-12) - (-675)/(-12). Let z = 52 + m. Is (-2)/z + (-325)/(-2) a composite number?
False
Let y(l) = 2*l**2 + 33*l + 112. Let j be y(-12). Let o be 2/(-8) + 957/4. Suppose -o - 9129 = -j*c. Is c a prime number?
False
Let n = 355802 - -183359. Is n a composite number?
True
Let y = -85 + 1422. Suppose y = 5*d + 2*d. Is d composite?
False
Suppose -1659317 - 655606 = -13*p. Is p a prime number?
False
Let l(g) = g**3 + 12*g**2 + 6*g - | {
"pile_set_name": "DM Mathematics"
} |
*r(q).
-5*q
Let k(w) = -96*w**2 + 7*w + 48. Let b(m) = -64*m**2 + 5*m + 34. Calculate -7*b(x) + 5*k(x).
-32*x**2 + 2
Let x(a) = -a + 6*a**2 + 7*a**2 + 11*a**2 - 23*a**2. Let s be 6/2 - 12/6. Let b(t) = t**2 - 4*t. Calculate s*b(g) - 4*x(g).
-3*g**2
Let i(q) = -377 - 384 + 760 + q**2. Suppose 5*j + 2*c + 14 = j, -8 = 3*j + 2*c. Let x(s) = s**3 - s**2 + 1. What is j*x(z) - 6*i(z)?
-6*z**3
Let o(c) = -5*c**2 + 5*c - 5. Let k(v) be the third derivative of -v**5/30 + v**4/8 - v**3/2 - 236*v**2. Suppose -u = 5 - 2. Calculate u*o(p) + 5*k(p).
5*p**2
Let p(w) = w**2 + 7*w + 9. Let l(k) = k**2 + 4*k + 5. Let c(i) = -16*i + 14. Let r be c(2). Let h be (2 + 4)/(r/12). What is h*p(t) + 7*l(t)?
3*t**2 - 1
Let n(q) = 0*q**3 - 13*q**3 + 3*q**3. Suppose 0 = -o - 5*k + 8, -6 = -o + k - 5*k. Let y(s) = -3*s**3. Determine o*n(h) + 7*y(h).
-h**3
Let b(v) = 5*v - 29 + 66 - 29 - 19. Let q(i) = -6*i + 11. Let s(o) = 3*b(o) + 2*q(o). Let u(j) = j - 4. Determine 4*s(r) - 11*u(r).
r
Let d(z) = -z**2 - 8*z + 3. Let y = 1383 - 1387. Let a(i) = 2*i**2 + 9*i - 4. Give y*d(w) - 3*a(w).
-2*w**2 + 5*w
Let v(w) = -6*w**3 + w**2 - 4*w + 8. Let a(f) = 13*f**3 - 2*f**2 + 7*f - 14. Give -4*a(s) - 7*v(s).
-10*s**3 + s**2
Let w(v) = -v + 7. Let z(b) = 1. Let a(y) = -40. Let o(g) = -1. Let l(j) = 3*a(j) - 96*o(j). Let u(x) = l(x) + 20*z(x). Give -5*u(f) - 3*w(f).
3*f - 1
Let w(d) = 2*d + 34. Let x be w(-17). Suppose -5*p + 4 + 0 = 2*k, 4*p - 8 = x. Let i(l) = -l**2 + 2*l + 2. Let g(f) = 2*f + 2. Calculate k*g(c) + 2*i(c).
-2*c**2 - 2*c - 2
Let k(u) = 162*u + 3 + 5*u**2 - 154*u + 2. Let n(d) = 6*d**2 + 9*d + 6. What is -7*k(t) + 6*n(t)?
t**2 - 2*t + 1
Let j(r) be the first derivative of -r**2/2 - r + 2. Let x(u) = -3*u. Let b = -4337 - -4336. What is b*j(n) + x(n)?
-2*n + 1
Let j(p) = -32*p + 7. Let r(m) = 33*m - 9. Calculate 3*j(t) + 2*r(t).
-30*t + 3
Let u(q) = 20*q**3 + 8*q**2 - 14*q. Let k(t) = -7*t**3 - 3*t**2 + 5*t. Suppose v = -z - 11 + 16, -2*v + 10 = -5*z. Calculate v*u(f) + 14*k(f).
2*f**3 - 2*f**2
Let u(r) = 5*r**2 - 4*r - 7. Suppose -8 = 4*n - 2*n. Let t(j) = -4*j**2 + j - 3. Let p(k) = -2*k**2 + k. Let i(l) = 3*p(l) - t(l). Calculate n*u(f) - 9*i(f).
-2*f**2 - 2*f + 1
Let l(i) = 11*i**2 - 5*i - 5. Let m(w) = -15*w**2 + 3*w + 3. Let s(v) = -3*v + 4*v - 1 - 7*v**2 + 2. Let j(k) = -3*m(k) + 5*s(k). Calculate -5*j(p) + 4*l(p).
-6*p**2
Let d(x) = 3*x**2 - 2*x. Suppose 8 = 27*g - 23*g. Let c be (-2)/(-4) + 3/2. Let s(u) = -u - c*u + 4*u**g + u. Calculate 6*d(j) - 5*s(j).
-2*j**2 - 2*j
Let r(f) = f**3 + 9*f**2 + 2*f. Let o(p) = p**3 + 9*p**2 + 2*p. Let w be ((-4)/(-8)*1)/(2/(-24)). Determine w*o(y) + 5*r(y).
-y**3 - 9*y**2 - 2*y
Let v(j) be the second derivative of -42*j**5/5 - 16*j**4/3 - 32*j**3/3 + 32*j**2 + 71*j. Let s(l) = 8*l**3 + 3*l**2 + 3*l - 3. Determine 64*s(n) + 3*v(n).
8*n**3
Let i(q) = -53*q**3 - 5*q + 6. Let r(g) = 106*g**3 + 11*g - 13. Determine 13*i(a) + 6*r(a).
-53*a**3 + a
Let v(j) = 2*j + 5. Let m(r) = -14. Let h(o) = 17. Let f(b) = -5*h(b) - 6*m(b). What is 6*f(d) + v(d)?
2*d - 1
Let t(z) = -1295*z - 63. Let p(c) = -324*c - 15. Calculate 21*p(a) - 5*t(a).
-329*a
Let v = -3 + 7. Let q(x) = -x**2 + 4*x + 4. Let s(o) be the first derivative of o**2/2 + o + 2827. Determine v*s(m) - q(m).
m**2
Let g(c) = -10*c - 16*c + 17*c + 4. Let n be (0/(-3))/(1 - 2). Suppose 4*t = -n*t - s + 30, -t = 5*s - 17. Let k(v) = -5*v + 2. What is t*k(a) - 4*g(a)?
a - 2
Let x(s) = -11*s**3 + 19*s**2 + 6. Let c(u) = -155*u**3 + 265*u**2 + 85. Calculate -6*c(k) + 85*x(k).
-5*k**3 + 25*k**2
Let a(g) be the second derivative of -2*g**3/3 - g**2/2 - g. Let l(h) be the second derivative of h**3/2 + h**2/2 - 70*h. Give 2*a(y) + 3*l(y).
y + 1
Let t(m) = -m**2 - 3*m + 2. Let b(a) = -2*a**2 - 18*a + 9. Give b(v) - 3*t(v).
v**2 - 9*v + 3
Let u(p) = 167*p**2 - 15*p - 2. Let o(g) = -111*g**2 + 9*g + 1. What is -8*o(m) - 5*u(m)?
53*m**2 + 3*m + 2
Let a(n) = -7*n**2 - 4*n - 7. Suppose -2*t + 2 = -0. Suppose -t - 1 = 2*x. Let u(b) = -b**2 - b - 1. Give x*a(w) + 5*u(w).
2*w**2 - w + 2
Let y(j) = 2*j + 4. Let l(v) = 2*v + 4. Let m = 131 - 129. Determine m*y(w) - 3*l(w).
-2*w - 4
Let c(d) = 7*d**2 + 7*d - 2. Let z(b) = -21*b**2 - 19*b + 6. What is 11*c(l) + 4*z(l)?
-7*l**2 + l + 2
Let p(o) = 223*o + 8. Let w(u) = 111*u + 3. Determine 2*p(l) - 5*w(l).
-109*l + 1
Let v(i) = i. Let r(a) = a**3 - 35*a**2 + 30*a + 135. Let l be r(34). Let y(d) = -d. What is l*y(q) + 2*v(q)?
3*q
Let r(a) = -4*a**2 + 2*a - 2. Let o(z) = 9*z**2 - 4*z + 5. Suppose -30 = -5*t + 3*t - 4*d, 1 = 3*t - 5*d. Determine t*r(i) + 3*o(i).
-i**2 + 2*i + 1
Let s(m) = 9*m - 16. Let j(b) = 26*b - 50. Calculate -3*j(q) + 8*s(q).
-6*q + 22
Let p(k) = -2*k + 1. Suppose -u - 7 = -4*a, 4*a = -4*u + 34 - 2. Let g(x) = -9*x - a*x + 10*x + 2. Let c be 0 - -2 - (-1 + 5). Give c*g(y) + 3*p(y).
-2*y - 1
Let h(t) = t**3 + 8*t**2 + 8*t - 5. Let n be h(-7). Let u(l) = -1. Let p(i) = 3*i + 9. Calculate n*u(v) - p(v).
-3*v + 3
Let i(z) = -4*z + 5. Let o(q) = -12*q - 167. Let r be o(-14). Let m(g) = -g + 1. Determine r*i(c) - 6*m(c).
2*c - 1
Let u(i) be the third derivative of 7*i**6/120 - i**4/4 + 555*i**2. Let m(q) = 6*q**3 - 5*q + 1. Give 6*m(x) - 5*u(x).
x**3 + 6
Let y(j) be the third derivative of 7*j**6/120 + 7*j**5/60 - j**3/3 - 9*j**2 + 2. Let n(b) = 8*b**3 + 8*b**2 - 3. What is 5*n(v) - 6*y(v)?
-2*v**3 - 2*v**2 - 3
Let z(g) = g**2 + 9*g - 7. Let w = 355 - 248. Suppose 4*k - 277 - w = 0. Let h be 2/(-10) + k/(-20). Let p(j) = -4*j + 3. Give h*p(a) - 2*z(a).
-2*a**2 + 2*a - 1
Let k = -461 - -455. Let l(h) = h**3 - 6*h**2 + 3*h - 7. Let u(g) = -g**3 + 5*g**2 - 3*g + 6. Calculate k*l(m) - 7*u(m).
m**3 + m**2 + 3*m
Let i(l) = 7*l**3 - 10*l**2 - 130*l + 7. Let b(t) = -6*t**3 + 8*t**2 + 128*t - 6. Calculate 5*b(g) + 4*i(g).
-2*g**3 + 120*g - 2
Let o(g) = 5*g + 2. Let k(w) = 973*w**2 + 695*w + 278. Calculate k(j) - 139*o(j).
973*j**2
Let f(k) = 14*k**2 + 20*k. Let v(r) = -7*r + 0 - 59*r**2 + 0 + 54*r**2. Let a = -29 - -23. What is a*f(l) - 17*v(l)?
l**2 - l
Let v(d) = 7*d + 2. Suppose 4*m - u + 4*u - 32 = 0, -u + 14 = 2*m. Suppose -3 = m*g - 43. Let c(r) = -7*r - 5 - g*r + 0. Determine -4*c(t) - 9*v(t).
-3*t + 2
Let p(m) = -m**3 - 1. Let i(c) = 5*c**3 - 2*c**2 + 30*c + 2. Give i(a) + 3*p(a).
2*a**3 - 2*a**2 + 30*a - 1
Let s(r) = 23*r - 29. Let c(g) = 12*g - 16. Calculate -5*c(m) + 3*s(m).
9*m - 7
Let d(m) = -m**2 + 12*m - 13. Let r be d(11). Let s be (-78)/(-18) + r/6. Let u(a) = -2*a - s*a - 5*a. Let c(y) = -16*y. Give -5*c(w) + 7*u(w).
3*w
Let a(c) = 2*c**3 - 5*c**2 + 10*c + 7. Suppose 130 - 100 = 6*u. Let z(k) = -2*k**3 + 4*k**2 - 9*k - 6. Determine u*z(r) + 4*a(r).
-2*r**3 - 5*r - 2
Let h(t) = 54*t - 22. Let g(c) = -80*c + 33. What is -5*g(n) - 8*h(n)?
-32*n + 11
Let f(j) = -2*j**3 + 4*j**2 - 5*j. Let b(n) = -n**3 + 7*n**2 - 7*n. Let x(q) = -q**3 - q. Let c(t) = -b(t) - 2*x(t). Calculate -4*c(y) - 7*f(y).
2*y**3 - y
Let o(s) = -2*s + 1. Let d(n) = -24*n + 4. Determine -d(a) + 16*o(a).
-8*a + 12
Suppose 2*x = -4*c - 4, 4*c + 16 = -13*x + 17*x. Let z(j) = -6*j**2 + 3*j - 1. Let a(n) = 5*n**2 - 2*n. What is x*z(b) + 3*a(b)?
3*b**2 - 2
Let a be (-39)/5 + 1 - (-16)/20. Let j(x) = -x**2 - 6. Let d(n) = 1 - 3 + 1. Determine a*d(l) + j(l).
-l**2
Let h(s) = s - 1. Let i = 39 - 41. Let q(k) = -2*k + 1. Determine i*q(u) - 3*h(u).
u + 1
Let t be ((-19)/4)/((-7)/28). Let u(p) = 1 - t*p - 2 + 18*p. Let s(a) = a + 1. Calculate s(r) + 3*u(r).
-2*r - 2
Let x(i) = 58*i - 41. Let n(t) = -39*t + 28. Determine -7*n(j) - 5*x(j).
-17*j + 9
Let v(l) = -l. Let h(s) = 7*s**2 + 5*s. Let d be 102/(-66) - 36/(-66). Determine d*h(j) - 5*v(j).
-7*j**2
Let q(j) = 3*j**2 - 132*j - 13. Let g be q(44). Let v(b) = 14*b**2 + 13*b + 6. Let p(a) = -7*a**2 - 6*a - 3. Calculate g*p(t) - 6*v(t).
7*t**2 + 3
Let y(g) = -5*g + 2. Suppose 56 = -62*h + 70*h. Let k(t) = 5*t - 2. What is h*k(r) + 6*y(r)?
5*r - 2
Let q(h) = h. Let b(z) = z. Let p(s) = -b(s) + 2*q(s). Let f = -471 - -470. Let r(o) = o**2 - 3*o + 2. Give f*r(v) - 2*p(v).
-v**2 + v - 2
Let k(h) = -3*h**3 - 2*h**2 - h - 4. Let s(c) = -6*c**3 - 4*c**2 - 2*c - 7. Let y(b) = -4*b**2 - 3*b. Let p be y(1). What is p*k(u) + 4*s(u)?
-3*u**3 - 2*u**2 - u
Let n(y) = -416*y**3 - 16*y**2 - 3*y + 8. Let m(t) = -139*t**3 - 6*t**2 - t + 3. What is | {
"pile_set_name": "DM Mathematics"
} |
ommon factor of 160082 and 624.
26
What is the highest common factor of 171 and 504?
9
What is the greatest common factor of 70 and 2189488?
14
What is the greatest common factor of 9 and 9606?
3
What is the greatest common divisor of 490 and 413?
7
What is the highest common factor of 140 and 1665230?
70
Calculate the greatest common divisor of 603258 and 12.
6
What is the greatest common divisor of 55350 and 108?
54
What is the greatest common divisor of 804 and 191955?
201
What is the highest common divisor of 14079 and 15808?
247
Calculate the highest common divisor of 30 and 361695.
15
Calculate the greatest common factor of 11 and 3621277.
11
What is the greatest common factor of 270 and 2510?
10
Calculate the greatest common divisor of 451 and 114185.
41
What is the highest common factor of 15 and 7005?
15
Calculate the highest common factor of 10230 and 264.
66
Calculate the highest common divisor of 21 and 1807932.
21
Calculate the highest common divisor of 1158 and 51338.
386
Calculate the highest common factor of 1146114 and 82.
82
Calculate the greatest common factor of 1292 and 2376634.
646
Calculate the greatest common factor of 272 and 468112.
272
What is the greatest common factor of 68 and 105944?
68
Calculate the highest common divisor of 713 and 8113940.
713
Calculate the highest common divisor of 36 and 1119078.
18
Calculate the greatest common factor of 32269 and 299.
23
Calculate the greatest common divisor of 40 and 162152.
8
Calculate the highest common factor of 196 and 779002.
98
Calculate the highest common factor of 4077 and 1057.
151
Calculate the greatest common factor of 629 and 1924.
37
Calculate the highest common divisor of 244744 and 32.
8
What is the highest common divisor of 52 and 63817?
13
What is the greatest common divisor of 26645 and 65408?
73
What is the highest common divisor of 1848 and 49392?
168
Calculate the greatest common divisor of 20 and 85110.
10
Calculate the highest common divisor of 12797 and 335.
67
What is the greatest common divisor of 149392 and 80?
16
What is the greatest common divisor of 404 and 1236644?
404
Calculate the greatest common factor of 180 and 90020.
20
What is the highest common factor of 1819 and 39576?
17
What is the greatest common divisor of 283816 and 1768?
104
What is the highest common divisor of 1540 and 5460?
140
Calculate the greatest common divisor of 1272911 and 74.
37
Calculate the greatest common factor of 672 and 29792.
224
Calculate the greatest common factor of 1408 and 24684.
44
What is the highest common divisor of 745 and 12955?
5
What is the highest common factor of 928683 and 189?
63
Calculate the highest common factor of 336160 and 10887.
191
What is the greatest common factor of 4788 and 64?
4
Calculate the highest common divisor of 60146 and 290.
58
What is the greatest common factor of 16548 and 1680?
84
Calculate the highest common divisor of 34864 and 48.
16
Calculate the greatest common factor of 10471 and 22923.
283
What is the highest common factor of 2124 and 1368?
36
What is the greatest common factor of 32 and 34108?
4
Calculate the greatest common divisor of 307678 and 21.
7
What is the greatest common divisor of 1536 and 60000?
96
Calculate the greatest common factor of 54000 and 960.
240
What is the greatest common divisor of 397385 and 8010?
445
Calculate the highest common factor of 459 and 48467.
17
Calculate the greatest common factor of 92120 and 1540.
140
What is the highest common divisor of 338 and 143962?
26
Calculate the greatest common factor of 147 and 91630.
49
What is the highest common divisor of 1122 and 142698?
102
Calculate the greatest common factor of 367972 and 88.
44
Calculate the highest common factor of 309 and 47792.
103
What is the highest common factor of 56064 and 832?
64
Calculate the greatest common divisor of 108 and 115686.
18
What is the highest common factor of 8 and 1166584?
8
What is the highest common divisor of 2327 and 8398?
13
What is the greatest common divisor of 55 and 1250590?
55
What is the greatest common divisor of 153 and 58531?
17
What is the greatest common factor of 588 and 4233936?
84
Calculate the highest common factor of 12 and 17044.
4
Calculate the highest common divisor of 118446 and 3306.
114
Calculate the greatest common factor of 6799365 and 45.
45
What is the greatest common factor of 2356 and 1292?
76
What is the highest common divisor of 130 and 125060?
130
What is the highest common divisor of 94018 and 2030?
58
Calculate the highest common factor of 200 and 21625.
25
Calculate the greatest common divisor of 12290 and 15.
5
Calculate the highest common divisor of 9338 and 341504.
1334
Calculate the greatest common divisor of 7176 and 10994.
46
Calculate the highest common divisor of 6 and 131.
1
What is the greatest common divisor of 5785695 and 18?
9
What is the highest common divisor of 126464 and 468?
52
What is the greatest common divisor of 2719 and 2033812?
2719
What is the highest common factor of 3261 and 33?
3
Calculate the greatest common factor of 384 and 150.
6
What is the highest common factor of 475857 and 1665?
333
What is the greatest common factor of 81187 and 19?
19
Calculate the highest common factor of 7580 and 22361.
379
What is the greatest common divisor of 84 and 270102?
42
What is the highest common divisor of 3800 and 4408?
152
Calculate the greatest common factor of 518034 and 6.
6
What is the highest common factor of 2079 and 1080?
27
Calculate the greatest common factor of 9 and 26266689.
9
What is the highest common factor of 10120 and 29920?
440
What is the greatest common factor of 647550 and 18?
18
What is the highest common factor of 1315740 and 60?
60
What is the highest common factor of 108248 and 392?
56
Calculate the highest common divisor of 74661 and 123.
123
What is the greatest common factor of 732 and 52560?
12
What is the greatest common divisor of 1748 and 304?
76
Calculate the highest common divisor of 1183489 and 68.
17
What is the highest common factor of 1599 and 26199?
123
What is the greatest common divisor of 399 and 2128?
133
Calculate the greatest common divisor of 70 and 3473400.
70
What is the highest common factor of 120 and 2127280?
40
What is the highest common divisor of 24 and 20994?
6
What is the highest common factor of 6086 and 782?
34
What is the highest common divisor of 84 and 757524?
12
What is the highest common factor of 1370 and 22742?
274
Calculate the highest common divisor of 9 and 19959.
3
What is the highest common factor of 24 and 199308?
12
What is the greatest common factor of 90 and 1551996?
18
Calculate the greatest common factor of 294938 and 98.
14
Calculate the highest common factor of 816 and 1666.
34
What is the highest common factor of 415833 and 132?
33
What is the highest common divisor of 32757 and 915?
183
Calculate the greatest common factor of 90 and 960270.
30
What is the greatest common factor of 1084 and 12737?
271
What is the highest common factor of 396 and 7227?
99
Calculate the highest common factor of 177930 and 270.
270
Calculate the highest common divisor of 315 and 1708812.
63
What is the highest common divisor of 13673 and 4114?
121
What is the highest common divisor of 2493 and 38503?
277
What is the highest common divisor of 116 and 273992?
116
What is the highest common factor of 524 and 57116?
524
What is the highest common factor of 2730 and 147?
21
Calculate the greatest common factor of 57421 and 13.
13
Calculate the highest common divisor of 1196 and 92.
92
What is the highest common factor of 723898 and 232?
58
What is the greatest common factor of 5863 and 209?
11
Calculate the greatest common factor of 215549 and 3073.
439
What is the highest common factor of 20127 and 12?
3
Calculate the greatest common divisor of 192 and 130656.
96
Calculate the greatest common divisor of 375 and 28965.
15
Calculate the greatest common divisor of 164148 and 12.
12
What is the highest common factor of 420 and 100820?
20
Calculate the highest common divisor of 630 and 31068.
18
What is the highest common divisor of 9734 and 30458?
314
Calculate the greatest common factor of 57 and 668667.
57
Calculate the highest common factor of 102515 and 202.
101
Calculate the gre | {
"pile_set_name": "DM Mathematics"
} |
remainder when o(-7) is divided by l(-3)?
4
Suppose -7*n = -9*n + 24. Suppose -2*v + 6*v - 20 = 0. What is the remainder when n is divided by v?
2
Let x(o) be the second derivative of 13*o**3/2 + o**2/2 + 2*o. Let j be x(1). Let c = -22 + j. What is the remainder when c is divided by 10?
8
Suppose 3*c + 2*s - 35 = 0, -5*c - s + 19 = -44. Calculate the remainder when 23 is divided by c.
10
Suppose -8*p = -16 - 0. What is the remainder when 4 is divided by p?
0
Let u(t) = t + 23. Let g(y) = -y + 17. Let s = -6 + 11. Calculate the remainder when u(0) is divided by g(s).
11
Suppose 3*l - 7*l = -16. Suppose l*t - 8 = -2*x + 4, -48 = -2*x + 5*t. Calculate the remainder when x is divided by 4.
2
Let l(u) be the first derivative of -u**3/3 + u**2/2 + 28*u + 1. Let w(b) = b**3 - 24*b**2 - b + 34. What is the remainder when l(0) is divided by w(24)?
8
Let f be -3*(2/6 + -2). Let m(t) = 4*t - 7. Calculate the remainder when 24 is divided by m(f).
11
Suppose -5*g + 14 = 4*i, -4*g + 3*i - 6*i + 12 = 0. Calculate the remainder when 22 is divided by g.
4
Suppose -84 + 74 = -5*l. What is the remainder when 3 is divided by l?
1
Let v = -84 - -41. Let i = -11 - v. What is the remainder when i is divided by 11?
10
Suppose 0 = 5*q + 10, 0 = -4*l - 4*q + q + 14. Suppose 0 = l*m - 64 - 16. Calculate the remainder when 30 is divided by m.
14
Let f = -376 - -627. Calculate the remainder when f is divided by 11.
9
Let x(s) = 7*s + 1. Calculate the remainder when x(4) is divided by 6.
5
Suppose 3*x + c - 26 = -c, 5*x + 2*c - 38 = 0. What is the remainder when 22 is divided by x?
4
Let p be -18 + (-3 - (0 + -1)). Suppose 0 = -3*w + 4*w - 33. What is the remainder when w is divided by 4 + 6*p/(-15)?
9
Suppose 0 = 3*l + 7 - 37. Calculate the remainder when l is divided by 7.
3
Let s(v) = -v**3 + 5*v**2 + v. Let q be s(5). Suppose -25 = -q*o + 65. Calculate the remainder when o is divided by 5.
3
Let y = -18 - -47. Suppose 2*o + 8 = 4*z, -5*o - 3*z + 24 = -2*z. Suppose x - 3*g = -o*x + 72, -2*g = -x + 13. What is the remainder when y is divided by x?
14
Suppose 2*j - 5*j + 141 = 0. Calculate the remainder when j is divided by 10.
7
Suppose 4*l - 27 - 21 = 0. What is the remainder when 22 + 0/(-1 - -4) is divided by l?
10
Let o = 9 - 23. What is the remainder when 2 + o/(-1) + -2 is divided by 5/(10/(-8)) + (-135)/(-15)?
4
Let w be (-2 - -5)*(-10)/6. Let b = w + 7. Suppose -n + 2 = -b*h, 5*h + 2*n = 7*n - 15. What is the remainder when h is divided by 1?
0
Let m(a) = 8*a - 7. Let c be m(-5). Let b = c + 68. What is the remainder when b is divided by 11?
10
Let m = -16 - -19. Calculate the remainder when 14 is divided by m.
2
Suppose -3*p = 3*k + 6, 5*p = 2*p - 15. Suppose -5*t = -9*t + 12. What is the remainder when t is divided by k?
0
Suppose 5*l + 22 - 2 = 0, 5*l + 29 = f. Suppose -4*x + 19 = -f. Calculate the remainder when x is divided by 2.
1
Let b(s) = -2*s**2 + 21*s - 9. What is the remainder when 90 is divided by b(8)?
28
Calculate the remainder when 40 - (2/(-3))/(4/6) is divided by 21.
20
Suppose 2*u + 23 = 2*j + u, -3*j - 3*u = -30. Let c = j + -6. What is the remainder when c is divided by 3?
2
Suppose -4 = -5*d + 4*d + 3*j, 3*d + j - 32 = 0. Suppose 5*w = -d, w - 4 = p + 3. Let q = 22 + p. What is the remainder when 38 is divided by q?
12
Suppose 5*b = -13 + 28. Calculate the remainder when 6 is divided by b.
0
Let c = 0 - -12. What is the remainder when (-2)/((-380)/94 - 12/(-3)) is divided by c?
11
Let m(v) be the second derivative of v**4/12 - v**2/2 - 5*v. Let l = -42 + 60. What is the remainder when m(6) is divided by l?
17
Suppose 0 = -4*l + 6*l - 28. Let i(y) = -12*y - 43. Calculate the remainder when i(-7) is divided by l.
13
Let g = 47 - 28. What is the remainder when g is divided by 7?
5
Let w = -24 + 35. Suppose d - 18 = -2*d. Calculate the remainder when w is divided by d.
5
Suppose 56 = 6*d + 8. Let c(r) = 9*r - 5*r - 3*r + 37 + r**2. Calculate the remainder when c(0) is divided by d.
5
Calculate the remainder when 35 is divided by (72/(-14))/((-14)/49).
17
Suppose -10 = -2*y, 5*k + 7*y = 3*y + 105. Calculate the remainder when k is divided by (99/(-22))/(-1 + (-1)/(-4)).
5
Let s = -27 + 40. Calculate the remainder when 54 is divided by (s/(-26))/(2/(-112)).
26
Suppose m + 1 = 10. Let s = 6 - 10. What is the remainder when s/18 + 236/m is divided by 9?
8
Suppose 4*g - 6 - 2 = 0. Suppose 4*w - 5*c + c = 176, -10 = -g*c. What is the remainder when w is divided by 17?
15
Suppose 0 = -3*g + g + 8. Suppose 7*o - g*o + 3*i - 3 = 0, -3*o + 4*i + 31 = 0. Calculate the remainder when 8 is divided by o.
3
Suppose 16 = -2*i + 6*i. Suppose v = -v + 4*z + 54, 0 = -5*v - i*z + 65. Let b(m) = -6*m - 3. What is the remainder when b(-6) is divided by v?
16
Let d(x) be the third derivative of -x**5/60 - 11*x**4/24 + 8*x**3/3 - 4*x**2. Let y(t) = -t**2 + t + 9. What is the remainder when y(0) is divided by d(-12)?
1
Let y(o) = 29*o**2 + 4*o - 1. Let c be y(-3). Suppose 4*p + 25 = 2*a + 3*p, 0 = -5*a - 5*p + 25. What is the remainder when c/14 + 26/91 is divided by a?
8
Let n = -22 - -8. Calculate the remainder when -1 - (-1 + 0) - n is divided by 8.
6
What is the remainder when 7/(21/117) - 1 is divided by 10?
8
Suppose y + 2*y - 48 = 0. Suppose 2*z + 2*z = 184. What is the remainder when z is divided by y?
14
Suppose -z + 6*z - 85 = 0. Suppose 2*y + 5*d = -1 - 10, -3*d - z = -4*y. Suppose 4*n - 36 = -4*a, n + 0 - y = 0. What is the remainder when 19 is divided by a?
5
Let a = 126 + -100. Calculate the remainder when 153 is divided by a.
23
Let l be ((-1472)/3)/(-4)*-3. Let i(s) = -s**3 - 4*s**2 + 3*s + 2. Calculate the remainder when i(-6) is divided by (-3)/(-5) + l/(-20).
18
Let k(w) = -11*w - 2. What is the remainder when k(-4) is divided by 22?
20
Suppose 0*a = 2*a - 28. Suppose 3*p - 32 = -p. Calculate the remainder when a is divided by p.
6
Let b(j) be the second derivative of j**5/20 + 3*j**4/4 + j**3 - 3*j**2/2 + 6*j. Calculate the remainder when b(-8) is divided by ((-2)/3)/((-1)/6).
1
Suppose -2 = -w + 2*w. Calculate the remainder when ((-3)/w)/((-9)/(-84)) is divided by 8.
6
Let x(j) = -j**3 + 5*j**2 + 15*j + 1. What is the remainder when x(7) is divided by 3?
2
Suppose 0 = u - 2*u. Let p(r) = -2*r + 15. Suppose 0 = -4*i + i + 24. What is the remainder when p(u) is divided by i?
7
Let l = -4 + 7. Let o = -51 + 74. What is the remainder when o is divided by -3 - (6/l + -13)?
7
Suppose 3*x - 5*x = -3*h + 5, -2*x + 5 = -h. Calculate the remainder when -2 - ((-44)/2 + 2) is divided by x.
3
Let j(i) = 15*i + 6. Let l(f) = 14*f + 5. Let o(k) = 3*j(k) - 4*l(k). What is the remainder when o(-3) is divided by 16?
15
Let r = 28 - -7. Let j(b) = b**2 - 4*b - 3. What is the remainder when r is divided by j(-2)?
8
Calculate the remainder when 59 is divided by (-2 - (-25)/15)/(2/(-126)).
17
Let h(m) = -2*m + 55. What is the remainder when h(-20) is divided by 3?
2
Let z(a) be the third derivative of a**5/60 - a**4/24 + a**3 - 2*a**2. What is the remainder when 15 is divided by z(0)?
3
Let y = -190 + 198. Calculate the remainder when 13/(2 + 1/(-1)) is divided by y.
5
Calculate the remainder when 21 is divided by ((-16)/(-6))/((-10)/(-30)).
5
Suppose -32 = -p + 3*g, 3*g - 5 = -2*g. What is the remainder when p is divided by 18?
17
Let t(n) = -n**2 - 13*n - 10. Let o be t(-10). Suppose -4*q = 8 - o. Let m(x) = x**2 - 4*x + 3. Calculate the remainder when m(5) is divided by q.
2
Suppose a - 3*k = 47, 2*a - k - 72 = -6*k. Let r = -25 + a. Calculate the remainder when 62 is divided by r.
14
Suppose 0*y = 5*y + 5. Let g be (5/15)/((-3)/(-9)). Let z = g - y. Calculate the remainder when z is divided by 2.
0
Let r be 2/(-3 + 4 - 0). Calculate the remainder when 3/r + (-97)/(-2) is divided by 17.
16
Suppose 4*x - 198 = -4*a + x, -4*a + 184 = -4*x. Calculate the remainder when a is divided by 17.
14
Let h = 26 - -16. What is the remainder when h is divided by 106/10 - 10/(-25)?
9
Let u be 195/12 + 2/(-8). Let f be (3 - 1)/(8/76). Let a = f + u. Calculate the remainder when a is divided by 12.
11
Suppose 5*b = 4*s - s - 22, 2 = -b. Calculate the remainder when s is divided by (-2)/3*(-18)/4.
1
What is the remainder when (3 - 2)/((-3)/(-111)) is divided by 13?
11
Let g(x) = | {
"pile_set_name": "DM Mathematics"
} |
xpand -3*d**2 + 3*d**2 - 2*d**2 + (-d**2 - 2*d**2 + 2*d**2)*(5 + 1 - 4) + 2 - 2 + d**2 - 2*d**2 - 2*d**2 + 3*d**2 - d**2 + 0*d**2 + 3*d**2 - 4.
-2*d**2 - 4
Expand (-2*r + 0 + 0)*(5 - 12 + 9)*(-2 - 1 + 2).
4*r
Expand (2*k**3 + 1 - 1)*(k - 6*k + 4 - 1).
-10*k**4 + 6*k**3
Expand 3*j**5 - 7*j**5 + 3*j**5 + (2*j**2 - 3*j + 3*j)*(2*j**2 + j - j)*(3*j + 0*j - 2*j).
3*j**5
Expand -g - 3 - 3*g - 3*g - 3*g + 2*g + 0*g + (-2*g + 2 - 2)*(2 - 3 - 1) - 1 + 1 - 2*g + 0*g + 4*g - 3*g - 1 + 1 - 2*g - 2*g + g - g.
-9*g - 3
Expand (22 - 4 + 21)*(-2*p**2 - 1 + 1).
-78*p**2
Expand (-2*q**3 - 5*q**3 + 2*q**3)*(-3*q + 2*q - q) - 4*q**4 + q**4 + 4*q**4 + 3*q**2 + 3*q**4 - 3*q**2.
14*q**4
Expand (3*b - 5*b + 4*b)*(3 - 5 + 3)*(-449 + 449 - 47*b - 4 - b + 4 + 3 - 2*b - 3 + (-2 + 2 - 2*b)*(2 + 0 + 0) + 1 - 1 - 2*b).
-112*b**2
Expand -j + j**3 + j + j**2 + 2*j**2 - j**3 - 2*j**2 + (4*j**2 + 10*j - 10*j)*(-j + 2 - 2) + 3*j**3 + 0*j**3 - 2*j**3.
-3*j**3 + j**2
Expand (-4 + 3*g + 0 + 2)*(-4 - 2*g**3 + 4).
-6*g**4 + 4*g**3
Expand (-14*w**2 - 21*w + 21*w)*(2*w**3 + 0*w**3 + 0*w**3) - w**5 + 3*w**5 - w**5 + (w - w + 2*w**2)*(2*w**3 - 2 + 2) - 2*w**5 - 3*w**5 + 3*w**5.
-25*w**5
Expand 36*r**3 - 36*r**3 + 3*r**4 + (2*r - 2*r**3 - 2*r)*(-2 + 2 - r).
5*r**4
Expand 3*m + 11*m + 7*m - 2 + (-1 - 1 + 1)*(4*m + m - 6*m).
22*m - 2
Expand (16*t**5 - 9*t**5 - 5*t**5)*(6 + 4 - 4).
12*t**5
Expand (-a + 0*a + 2*a)*(-1 + 1 - 2) - 2*a + 0*a + a + 2 + 2*a - 2 + (7 - 2 + 2)*(-2 + 2 + a).
6*a
Expand -6*l - 15*l + 78*l + (0 + 0 + 2)*(2 - 2 - 2*l).
53*l
Expand 0*m**4 + 5*m**4 - 2*m**4 + (-2 + 2 + 2*m**3)*(-1 + 0 + 0)*(6*m - 2*m - 3*m)*(-3 - 4 - 1).
19*m**4
Expand (3 + 1 - 2)*(-1 + 1 + d)*(17*d + 6*d**2 - 17*d).
12*d**3
Expand (-3*j**2 + j**2 + 4*j**2)*(10*j + 16*j - j).
50*j**3
Expand (1 - 2 - 2)*(-2 + 4 + 0)*(2 - 3 - 1)*(-r**2 - 10*r**2 + 0*r**2).
-132*r**2
Expand (-3 + 2 + 3)*(-5*s + 2*s + 2*s)*(7 - 2 - 1) + (2 - 1 + 4)*(-4*s - s + 3*s).
-18*s
Expand (6 - 2 - 5)*(-3*h - 4*h + 2 + 3*h).
4*h - 2
Expand (-2*k + 2*k + 2*k)*(6*k - 20*k**2 - 4*k + 16*k**2).
-8*k**3 + 4*k**2
Expand (5 + 4*d - 5)*(-d**3 + d**3 - 2*d**3).
-8*d**4
Expand (5*n**2 - n**2 - 3*n**2)*(4*n + 4 - 4) + (n**2 - n**2 - n**2)*(-2 - n + 2).
5*n**3
Expand (-3*p**2 - 3*p + 3*p)*(51 + 7*p - 51).
-21*p**3
Expand (1 + 2*t - 1)*(-3*t**4 + 0*t**4 + t**4) + (-4*t - 2*t + 7*t)*(-2*t**4 - 4*t**3 + 4*t**3).
-6*t**5
Expand (4*k**3 + 60*k - 60*k)*(-3*k + 2*k + 0*k).
-4*k**4
Expand (9 + 8 - z - 13)*(0*z**2 + 2*z**2 - z**2).
-z**3 + 4*z**2
Expand (h + 2*h - 5*h)*(-2*h**3 + 3*h**3 - 3*h**3) + 0 + 3*h**4 + 0 + h**4 - h**2 - 2*h**4 - h**4.
5*h**4 - h**2
Expand (3*w**4 + 0*w**4 + 3*w**4)*(-1 + 1 + 1)*(9*w + w - 2*w).
48*w**5
Expand (-2*k + 2*k + 2*k**3)*(21*k - 7*k + 3*k)*(0*k - 3*k + k).
-68*k**5
Expand -2*l**4 + 2*l**4 - l**4 + (l**3 - 4*l**3 - 25*l**3)*(-2*l - l + 2*l).
27*l**4
Expand (0*j**4 - 4*j**4 + 3*j**4)*(-2*j + 2*j - 2*j) - 4 + 4 + j**5 - j**5 + j**4 - j**4 - 4*j**3 - 9*j**5 + 4*j**3.
-7*j**5
Expand 2 - 5*v**2 - 2 + 0*v + 3*v**2 + 0*v - 2*v**2 + 2*v**2 + v**2 - 4 + 4 + 2*v**2 + (7*v**2 - 4*v**2 - v**2)*(0 + 1 + 0).
3*v**2
Expand (-22 - 2 - 21)*(l + 3*l - 2*l).
-90*l
Expand 2*l**2 + 4*l**2 - 2*l**2 - l**2 + l**2 - l**2 + (2*l + l - 4*l)*(2*l - 1 + 1).
l**2
Expand (4 - 1 - 2)*(2 - 9 + 1)*(1 - 2*g - 3*g + 0).
30*g - 6
Expand (-1 + 1 - r)*(0 + 0 - 1 + 4 + 0 + 0 + (0 - 2 + 3)*(-4 + 4 - 2) + 3 + 0 - 2)*(-1 + 2 - 2).
2*r
Expand ((2*v**3 + 3*v**3 - v**3)*(-4 + 2 + 1) - 4*v**3 + 5*v**3 + 0*v**3)*(22*v - 22*v - 25*v**2).
75*v**5
Expand (2 + 0 - 1)*(0*w + 4*w - 2*w) - w - w - 4*w - 5*w + 2*w + w.
-6*w
Expand (0 + 0 - 3*b)*(-1 + 1 + 1 + (0 + 0 - 1)*(-2 + 4 + 0) + 2 - 1 - 2).
6*b
Expand 3*f - 5*f - 5*f + (-3 + 1 - 2)*(4*f - 5*f + 0*f).
-3*f
Expand 2*b**3 - 3 + 3 + 0*b**3 - 2*b**3 - b**3 + (-2*b**3 - 2*b**3 + 6*b**3)*(1 - 2 - 1) + 0*b**3 + 2*b**3 - b**3.
-4*b**3
Expand (-5 + 5 - 2)*(20 - 39 - 47)*(2*s**2 - 1 + 1).
264*s**2
Expand (0 + 2 + 2)*(0*p + p - 11 + 12).
4*p + 4
Expand (-z**3 + 0*z**2 + 0*z**2)*(-4*z - 3*z + 5*z + (-1 - 1 + 0)*(3*z - 9*z - 5*z)).
-20*z**4
Expand (5 - 3 + 2)*(-4 + 0 + 5 + 3*b).
12*b + 4
Expand (-2*t**2 + 653 - 1304 - 8*t + 653)*(t**2 + 3 - 3).
-2*t**4 - 8*t**3 + 2*t**2
Expand (-44 - 8*t + 44)*(2*t**2 + 5*t**2 - 4*t**2).
-24*t**3
Expand (-2*g + 3*g + 0*g)*(2*g**4 - 3*g**3 + 3*g**3) + (0*g**2 - 4*g**2 + 6*g**2)*(-4*g**2 + 2*g**3 + 4*g**2) + g**5 + 3*g**5 - 5*g**5.
5*g**5
Expand (t**2 - t**2 - 2*t**3)*(-2*t + 5*t + 6*t).
-18*t**4
Expand (50 + 11*s - 50)*(-4 + 4 - 3).
-33*s
Expand (1 - 1 - 2*m + (2*m + 0 + 0)*(-3 + 6 - 4) - m - 4*m + 0*m)*(-3*m**2 + 4*m**2 + 0*m**2).
-9*m**3
Expand 7*p - 5*p**3 - 7*p + (9*p - 2*p**2 + 3*p**2 + 2*p)*(3*p - p - 4*p).
-7*p**3 - 22*p**2
Expand 0*m - m - 2*m - 2*m - m + 2*m + (-5 + 1 + 3)*(-m + 5*m - 2*m) - 4 + 2 - 2*m + 0.
-8*m - 2
Expand (1 + 0 + 1)*(b**3 - b**3 + 2*b**3) + 23*b**2 + 2*b**3 - 4*b**3 - 21*b**2.
2*b**3 + 2*b**2
Expand (-5*t**2 - 79 + 79)*(-2 + 2 - 2*t).
10*t**3
Expand (8 - 3 - 3)*(-p**4 + p**4 - 3*p**4) + 29*p**4 - 280*p**3 + 280*p**3.
23*p**4
Expand (-3 + 12*m - 9*m + 6*m)*(-2*m - m + m).
-18*m**2 + 6*m
Expand k - 3*k + 3*k + (k - 2*k + 5*k + (0 - 3 + 1)*(0*k + 4*k - 5*k))*(-2 + 1 + 3).
13*k
Expand (4*n - 4*n - 2*n)*(2 - 3 + 9)*(2*n - 3*n + 0*n).
16*n**2
Expand ((-3*b + b + 0*b)*(0 - 1 - 1) + b + 2*b - b + 0*b - b + 4*b)*(-2*b**2 - 4*b**2 + 0*b**2).
-54*b**3
Expand (-2 + 1 - 3)*(6*s - s - 3*s).
-8*s
Expand h + 1 - 1 - 1 - 2*h + 1 + (5*h - 3*h - h)*(-2 + 1 - 1) + 2*h + 0 + 0 + 2*h - 1 + 1 - 3 + h + 3 + 2*h + 3*h - 10*h.
-3*h
Expand (m + 2*m - 2*m)*(-6 - 2*m**2 + 4 + 4*m + 0*m**2).
-2*m**3 + 4*m**2 - 2*m
Expand (-4*j + 0*j + 2*j)*(2 - 2 + 2*j**2) + (30*j**2 - 10*j + 10*j)*(-2*j + 3 - 3).
-64*j**3
Expand (0 + 0 + 3)*(4*g - 1 + 1).
12*g
Expand (3*a**2 + a**2 + a**2)*(6*a - 13*a + 2*a**3 - a**3).
5*a**5 - 35*a**3
Expand (4 + 1 + 3)*(-3*t + 5 - 5)*(-t + t**4 + t).
-24*t**5
Expand (0*f - 2*f + 0*f)*(-1 - 4 + 4) + f - f - f.
f
Expand 3*r - 3*r - r - 12*r + 8*r - 7*r + (-3 + 1 + 1)*(-2*r - 3*r + 6*r).
-13*r
Expand (r - 2*r + 3*r + (2*r - 3*r + 0*r)*(3 - 5 + 1))*(-5 + 2 + 0).
-9*r
Expand ((-5*a + 0*a + a)*(2*a**2 + 1 - 1) - 2*a**3 + 0 + 0)*(5*a**2 - 3*a**2 + 0*a**2).
-20*a**5
Expand (-u**3 + 0*u**2 + 0*u**2)*(112*u + 109*u - 58*u).
-163*u**4
Expand (-11 + 3 - 4)*(-2 - l + 2).
12*l
Expand (2*t**2 + 0*t**2 - 5*t**2)*(0*t + 2*t**3 + 0*t).
-6*t**5
Expand (-3*h - 2*h + 6*h)*(1 - 2*h - 6 - 2) + 2*h**2 - 4*h**2 + 0*h**2.
-4*h**2 - 7*h
Expand -4*j**2 + 4*j**3 + 4*j**2 - 5*j + 5*j + 2*j**3 + (2 + 3 - 3)*(-j**3 + 4*j**3 - j**3) + 17 - 43*j**3 - 8 - 9.
-33*j**3
Expand (7*p**2 - 10*p**2 - 11*p**2)*(-2 + 4 + 0).
-28*p**2
Expand (1 - 2 - 11)*(3 + 3*m - 1 - 5*m) - 5*m + 4*m - m.
22*m - 24
Expand (3*o**2 + o**2 - 3*o**2)*((-1 + 4 - 2)*(-o - 2*o + 5*o) - 3*o - 2 + 2 + 2*o - 2*o - o).
-2*o**3
Expand (0*j**3 - j**3 + 0*j**3)*(-5*j + j + 2*j) - 105*j**3 + 56*j**4 + 105*j**3 + 283*j**4.
341*j**4
Expand -m**5 - 306*m**3 + 301*m**3 - m**2 - 3*m**5 + (-3*m + 0*m + m)*(-m**4 + 5*m**4 - 5*m**4).
-2*m**5 - 5*m**3 - m**2
Expand -1 + 1 + 2*j**2 + (-j - 3 + 3)*(-j + 1 - 1) + (-7 + 2 + 2)*(2 - 2 - 2*j**2).
9*j**2
Expand -2*n - 4*n - n + (-3 + 2 - 4)*(7*n - 3*n - n).
-22*n
Expand (10*r + 13*r - 11*r)*(-7 + 3 + 0).
-48*r
Expand (2*p + 1 - 1)*(-6 + 3 + 2) - 2 + 10*p + 2.
8*p
Expand d**3 + 0 + 0 - d**2 + d**3 + d**2 + 2*d**3 - 4*d**2 + 4*d**2 + (-2*d - 2 + 2)*(d**2 - d**2 - d**2) + d**2 - d**2 + 3*d**3 + 0 - 2*d**3 + 0.
7*d**3
Expand -4 + 3*u + 1 + 2 + u + 2*u - 4*u + (3 - 1 - 1)*(-2*u + 4*u + 0*u).
4*u - 1
Expand 12*n + 10*n + 20*n - 15*n + 3*n - 3*n - n + (3 - 6 + 4)*(2*n + 2 - 2).
28*n
Expand (-2 - 1 + 1)*(-r**3 + 5*r**3 - 2*r**3) + 0*r**3 - 4*r**3 + 0*r**3 + (-2*r + 2*r - r)*(4*r**2 + 2*r**2 - 7*r**2).
-7*r**3
Expand (0 + 1 - 2)*(-2*x**3 + 5*x**3 - x**3) + 2*x - 2*x - x**3 + 3*x**3 - 2*x**3 - 8*x**3 + (-2*x + 3*x + x)*(2*x**2 + 0*x + 0*x) + 6*x**3 - 3*x**3 - x**3.
-4*x**3
Expand (4 - 2 + 1)*(1 + 3 - 3)*(2*z**2 + 0*z**2 - 3*z**2).
-3*z**2
Expand (12 - 12 - 3*m + 10*m**4)*(3 + 4*m - 3).
40*m**5 - 12*m**2
Expand 2*l + 3*l - 3*l + (l - 3*l + 3*l)*(1 - 4 + 1) - 3*l + 3*l + 3*l - 3*l + 4*l - 3*l.
l
Expand (-6*q + 0*q + 0*q)*(-1 + 3 + 0 + 4 - 4 - 1 + (1 + 1 + 0)*(0 - 1 + 2) + 1 + 1 - 1 + 5 - 1 - 2 - 2 + 3 + 0).
-42*q
Expand ((-3 + 3 | {
"pile_set_name": "DM Mathematics"
} |
- 61 = 5*h, 4*h + 5*g = -39 + 36 for h.
-2
Solve 3*w = s - 43, s + 7*w + 16028 = 16041 for s.
34
Solve -t - 18*t = -2*t - 5*h + 149, 2*h + 5 = -t + 10 for t.
-7
Solve -9*n - 2 - 2 = 5*f, 3*n + 1474 = f + 1494 for f.
-8
Solve -31 + 23 = 3*w + w, -3*w + 7*w - 9 = 3*c + w + 9 for c.
-8
Solve -16*w = -4*t + 52, 107*w + 4*t + 197 + 240 = t for w.
-4
Solve 5*t - 29 + 222 = 32*j, -12616 + 12663 = -t - 2*j for t.
-45
Solve 0 = 3*v - 10*j - 40, -208*v = 180*v - 387*v + 5*j + 20 for v.
0
Solve 4*o - 3677*d - 174 = -3684*d, 3*d - 6 = 0 for o.
40
Solve j - 5381714 + 5381734 = -9*f, -3*f = 3*j + 180 for f.
5
Solve -4*y - 49 = -y - 28*q, -54*q + 58*q = 3*y + 25 for y.
-7
Solve 2*b + 3*b = 0, 5*b + 14964 = 5*w + 14949 for w.
3
Solve -4440 = 2*i - 4472, i = 3*p + 22 for p.
-2
Solve 90*a - 91*a + 7 = 4*i, -25*i - 77 = -9*i - 3*a for i.
-2
Solve -3*f - 9*b = 29 - 52 - 46, -4*b + 47 = 5*f + 20 for f.
-1
Solve 5*v = 3*y - 16, -14*v + 6 = -3*y - 2 + 15 for y.
7
Solve 2*z = -2*p - 0*z + 8, 68*p - 66*p - 6 = -5*z + 2 for p.
4
Solve 2*x - q - 61 = -75, 242 = -42*x - 5*q for x.
-6
Solve 0 = 3*q + n - 74, 502*q + 22 = -509*q + 1010*q + 9*n for q.
23
Solve -7*b - 272 = 116*z - 115*z, 4*z - 20*b - 784 = 0 for z.
1
Solve -l + 6 + 13 - 41 = 2*k + 137, 24*k + 2*l + 1938 = 0 for k.
-81
Solve -462*b + 8 = -250*b - 210*b, 6*b = -k + 26 for k.
2
Solve 9*z + 4*f = -3129 + 3130, -f = 4*z - 2 for z.
1
Solve 2*p = -5*z + 17, -2140*p + 2141*p - 1 = -z for z.
5
Solve 0*a + 39 = -4*a + 5*a - c, 20*a - 27*a - 3*c + 273 = 0 for a.
39
Solve -2*c - c = -8*i - 44, -5*c - 3*i + 62 = 54 for c.
4
Solve 6*z - 194 = -8*z + 20*z - 5*o, 0 = 2*o - 7*o - 10 for z.
-34
Solve 6437 - 6475 = -2*r - 3*c, 0 = 6*r + 4*c - 134 for r.
25
Solve -180826 = w + 3*v - 180819, 4*v + 10 = -w for w.
2
Solve -y + 12*u - 63 = -2*y - 183, 26*u = -260 for y.
0
Solve c + 14*t - 77 = 0, 63993*c - 63994*c + 2 = -t for c.
7
Solve 5*y - 6553*h = -6558*h + 40, 3*y - 5*h = -2*y + 60 for y.
10
Solve 3*d + 2*l - 3 = 0, 0 = -3*d + 10*l - 3045009 + 3044976 for d.
-1
Solve 4*u + 436 = 5*c, -4845*c - 259 = 5*u - 4848*c for u.
1
Solve -48 = -3*j - z - 2*z, -54*j - 93*z - 71 = -94*z - 330 for j.
5
Solve -p - 47*o + 126 = -16*o - o, 5*p - 3*o = 18 for p.
6
Solve d + 4*b + 7 = 0, b + 4*b + 2 + 3 + 0 = -2*d for d.
5
Solve -5*f - f - 69 = -f - 2*c, 12*f - 4*c + 233 = 65 for f.
-15
Solve 1963*c - 9*o = 1973*c - 10*o - 25, 0 = 36*o - 35*o + 5 for c.
2
Solve 0 = -6*z - 3*j - 255, 2*z + z - 2*j + 5*j - 4077 = -4203 for z.
-43
Solve -5*s = 2*r - 105, 6*s = -60*r + 5*s - s - 62 + 400 for r.
5
Solve -v - 2168 + 2177 = 0, 6*t - 5*v = -33 for t.
2
Solve 2*z + 3*z = -15, 65*t - 5887 = -140*t - 3*z + 3739 for t.
47
Solve -5*w - 54 - 28 = -4*a, -4*a + 12*w = -3*w - 262 for a.
-2
Solve -663*c + 634*c - 83 = 2*p, 5*c - 5*p + 180 = 310 for c.
-1
Solve 5*m - 19*m - 66 = -3*m + 10*m - q, -10*m + 3*q = 39 for m.
-3
Solve 2*r + 5*i - 2*i + 10*i + 85 = 15, 0 = -3*r + 5*i + 42 for r.
4
Solve 12*p = 17*n - 13*n - 88, 118*p - 121*p - 14 = -5*n for n.
-2
Solve f - 2*f = -40*v + 133 + 78, -4*f - 39 = v for v.
5
Solve 23 + 37 = 15*h, 3*k + 8*h - 5*h = -39 for k.
-17
Solve -24 = 3*z - 2*u, -124*z + 3*u = -127*z + 6 for z.
-4
Solve 0 = 176*t - 223*t - 4*p - 102, 4*t - p + 154 = 7*t + 162 for t.
-2
Solve 3*s - 83*h = -88*h - 217, h = -2*s - 6*h - 295 for s.
-4
Solve 9*x + g - 3*g = -134, -2*g + 108 + 40 = -16*x for x.
-2
Solve -o + 4*x = 6, -4*o - x = o - 7008 + 7080 for o.
-14
Solve 3*i = -4*s + 17, 18*s + 27*i = 30*i + 27 for s.
2
Solve 3561*k - 3558*k + 9*f = -117, k - 1 = 5*f for k.
-24
Solve -5*r + 190 = 5*d, 0 = -4*d + 8475*r - 8477*r + 72 for d.
-2
Solve 2*s = -3*z - 56, 5*s - 5*z + 375 = 485 for s.
2
Solve 6*r + 0*r - 47*x = r + 128, -7*r + 143 = -3*r + 3*x for r.
35
Solve -5*j = 3*d + 30, 6609*j - 6606*j = 3*d + 6 for d.
-5
Solve g - 107 = 5*o, 2*o + 5*g + 40907 = 40848 for o.
-22
Solve -3*v + 261 = 0, -33387*a - v = -33384*a - 87 for a.
0
Solve -2*p - 6*y + 2 = 0, 5324*p - 10643*p + 3*y + 3 - 2 = -5318*p + y for p.
1
Solve 2*b + 11*j = 58, -2*b + 3*j - 269642 = -269644 for b.
7
Solve 0 = 3*o - 72*h - 2455 + 2302, 0 = 2*o - 4*h - 14 for o.
3
Solve 5*j + 39 = 13*k + 133 - 68 - 105, 14 = 2*k - 2 for j.
5
Solve -4*o - 7*l - 20 = 6*l - 9*l, 0 = -2*o + 5*l + 11 for o.
-2
Solve 0 = 4*j + 5*v - 275, -1274634*v - 143 = 5*j - 1274636*v for j.
-5
Solve 3*f = -4*n + 34, -12*f + 3313*n = 3316*n - 84 for f.
6
Solve 5*c + 5020 = d + 5037, 3*d = -2*c + 34 for c.
5
Solve 20*b - 21*b - 41*c + 156 = 321, -2*b = -2*c - 6 for b.
-1
Solve -49 = -9*p + o, -3*o = 50*p - 31*p - 37 for p.
4
Solve -2*l - 20 = -3*b + 22, -580*b - 649 = 3*l - 438*b for l.
-27
Solve 14*d - w = -3*d + 13*d + 65, -2*w + 56 + 90 = 10*d - 12 for d.
16
Solve -2*j - 19344*l + 19346*l - 8 = 0, -5*j + 207*l = 20 for j.
-4
Solve 0 = 3*i + 144, 60*f - 56*f + 3*i + 151 = 3 for f.
-1
Solve 239*v + 4*l - 7*l = -244*v - 74*v + 43*v + 11816, -l = -1 - 1 for v.
23
Solve 4 = -a + 4*t + 207, -5*a - 85915*t + 148 = -85918*t for a.
-1
Solve -770*m = -768*m + 69*h - 199, 0 = -5*h + 15 for m.
-4
Solve -j - 77 - 9 = 3*v + 2*v + 64, -4*j + 4*v + 144 = 0 for j.
5
Solve -m + 180*y - 8 = 179*y + 12, -2*m = 3*y + 45 for m.
-21
Solve -21*o - 118 = -4*r - 6*o, -702*r - o + 86 = -698*r for r.
22
Solve -3*j + 0*u - 32 = -13*u - 159 - 68, -6*u = 16*j + 45 + 45 for j.
0
Solve -522 = 117*i - 36*i - 77*i - 2*x, 0 = -5*i - x - 670 for i.
-133
Solve -5*o - 9668 = f - 9657, -8*f + 44 = -4*o for f.
4
Solve 83277*n = 83274*n + 3, 1 = -o - 3*n for o.
-4
Solve 48 - 8 = -4*r - 5*n + 2, 0 = -13*r - n - 93 for r.
-7
Solve -5*w + 37*n = 254, -3*n + 209 = 3*w + 185 for w.
1
Solve 3*h + 66 = -4*s, -1028 = -h + 4*s - 1034 for h.
-18
Solve 5*z - v = 2*z + 5, -40*z = -45*z + 142*v - 1395 for z.
5
Solve -21*v - 145 = -41*r + 37*r, -93*v + 13 = 2*r - 94*v - 12 for r.
10
Solve -2*k - 2*r - 28 = 0, 146*k + 172*k + 10*r = 131*k - 226*k + 8*r - 4549 for k.
-11
Solve -w = 143*y - 43*y + 93, 137*w + 5*y = 134*w + 16 for w.
7
Solve 4*p = p - 0*p - 20*b + 25*b + 34, -3*b = 76*p - 991 for p.
13
Solve -3*i + 2*x + 11 = 0, -36*x - 4*x - 39 = 4*i - 90*x - 101 for i.
3
Solve 1997*o - 1973*o + 3*t - 108 = 0, 2*o + 3*o + 2*t + 3*t - 40 = 0 for o.
4
Solve -56 = -2*d - 4*l, 147*d - 90*d + l = 59*d + 9 for d.
2
Solve d = -177*i - 172*i + 354*i + 5, 0 = -8*i - 3*d + 15 for i.
0
Solve 4*y + 3*l = -2, 5*y - 5*l = 9*y - 5018 + 5016 for y.
-2
Solve -20*m = -13814*r + 13809*r + 65, 0 = 4*r + 3*m + 5 for r.
1
Solve -3*t + 164 = 5*g, -5*g - 7437 = 6*t - 7610 for t.
3
Solve 4*p + 19 = -2*h - 40 + 85, 4*h - 16 = -2*p for h.
1
Solve 0 = 5*k - 0*t + 2*t - 130, -4*t - 12*t + t = -75 for k.
24
Solve -3*m = -155 + 170, -75 - 19 = 7*f + 2*m for f.
-12
Solve w + 10*y + 9*y - 451 = 14*y, -31*w - 367 = 38*w - y for w.
-4
Solve 3*k - 1466*q + 1467*q - 18 = 0, -2*q = k - 11 for k.
5
Solve 4*x - 150 + 22 = 0, 871*b - 875*b + 336 = 10*x for b.
4
Solve -8*u + 7*u + 9 = -14*h - 1 - 7, 9*h + 3*u + 51 = 0 for h.
-2
Solve -13*z - 2*u = -52, 3*z = 692*u - 694*u + 12 for z.
4
Solve -60337*o = t - 60339*o + 21, 7*t - 5*o + 93 = 0 for t.
-9
Solve 3*i - 16943 = -0*i - 16955, 8 = -2*t - 2*i for t.
0
Solve 3*o = -8*c + 171 + 4, o - 5*o - 65 = -9*o - 2*c for o.
5
Solve -5*v - 1978657*k + 310 = -1978663*k, 0 = 2*v + 4*k + 196 for v.
2
Solve 0 = -3*l + 2*s - 5*s + 3, -6*s + 13*s = 4*s + 6 for l.
-1
Solve 32*h - 694 = -2*j - 512, 0 = 2*h - 3*j - 27 for h.
6
Solve 4*a = 2*a - 5*y - 28, -73*a + 34*a + 40*a - 7 = y for a.
1
Solve -30*n + 68*n - 29*n + 2*c - 46 = -0*c, -2 = -n - c for n.
6
Solve 2*x + 10 = 5*x + 47*h, -x + 30*h - 31*h - 26 = 0 for x.
-28
Solve 3*s = -4*x - 0*s - 10, 3*x = 16*s + 38027 - 37925 for x.
2
Solve -5*v = 3*r + 4, 69598*v = 69596*v + 5*r + 17 for v.
1
Solve 4*u + 176 = 8*i, 33541*i + 4*u + 71 + 96 = 33540*i for i.
1
Solve -4*i + 2*h + 28 = 0, -3*i - 14 + 51 = -4*h + 6 for i.
5
Solve 3*v + 476 = 5*x + 488, -1622*v - 1622 = 0 for x.
-3
Solve -3*x - 4*o + 7*o - 23 + 79 = -7*x, 5*o = -100 for x.
1
Solve -239871*v + 239892*v = -u - 40, 8 = -4*v for u.
2
Solve 5*q - 3*w - 11*w + 42 + 86 = -w, -5*q + 70 = 5*w for q.
3
Solve -2*i - 3*a + 2*a = -33, 0 = 3*a + 476 - 563 for i.
2
Solve -14*x + 10 = b, -60*x + 59*x = 15*b - 14*b + 3 for b.
-4
Solve -4*r - 3*i + 35 = 0, 3*r - 1116*i + 1117*i - 20 | {
"pile_set_name": "DM Mathematics"
} |
vide 83203288 by 3556.
23398
727 divided by 8164
727/8164
Calculate -219989360 divided by 10999468.
-20
What is 2 divided by -804545?
-2/804545
Divide -16306954 by 2.
-8153477
-26885568 divided by 6
-4480928
-87127236 divided by -764274
114
Divide 11159 by 24304.
11159/24304
What is 6801152 divided by 219392?
31
Divide -364697545 by -72939509.
5
Calculate -3433 divided by 3957.
-3433/3957
What is 10 divided by -17159556?
-5/8579778
6823 divided by -1921
-6823/1921
Divide -31526925 by -3.
10508975
Divide 1607051 by -138.
-1607051/138
Calculate 2171104 divided by 120.
271388/15
-209814344 divided by -2
104907172
What is -2798298 divided by 466383?
-6
-91893004 divided by 156814
-586
What is 21445928 divided by 6?
10722964/3
Divide -5376322 by -768046.
7
Calculate -2530220 divided by -4774.
530
What is 43630077 divided by 43?
43630077/43
What is -9364453 divided by -4?
9364453/4
3566721504 divided by 6
594453584
Calculate 125892242 divided by 3702713.
34
Calculate -7 divided by 17186274.
-1/2455182
Calculate 0 divided by -111479985.
0
What is 188400390 divided by 4957905?
38
What is -175 divided by -2478?
25/354
Calculate 23768640 divided by -495180.
-48
Divide -1 by 198192478.
-1/198192478
31350 divided by 172
15675/86
What is 47893350 divided by -15?
-3192890
-22674486 divided by -51
7558162/17
What is 906 divided by -464332?
-453/232166
2340744 divided by 94
1170372/47
What is 1 divided by -106524796?
-1/106524796
What is -30475170 divided by -102610?
297
3342598 divided by 58
57631
0 divided by 228371
0
114495 divided by -135
-7633/9
What is -7187247 divided by -798583?
9
What is -5031153 divided by -6?
1677051/2
What is 67069872 divided by -24?
-2794578
Divide 85271 by -4108.
-85271/4108
Divide -810 by 337334.
-405/168667
Calculate -24198760 divided by -131515.
184
What is -98625 divided by 22?
-98625/22
Calculate 15860354 divided by -41089.
-386
What is 207943852 divided by -4?
-51985963
Calculate -4232140 divided by -5.
846428
Divide -71149 by 122.
-71149/122
-3045539 divided by -2
3045539/2
Calculate 318748078 divided by 135407.
2354
Calculate -1409258970 divided by -615.
2291478
Calculate -170895010 divided by -4705.
36322
What is -398 divided by 53216?
-199/26608
Divide -19747234 by 6.
-9873617/3
Divide -3341046 by 3341046.
-1
Calculate 32864832 divided by 18018.
1824
What is 1734060 divided by 5?
346812
2 divided by 16136673
2/16136673
Divide 1596 by -94101.
-76/4481
Divide -30 by -776870.
3/77687
Divide -92651 by -94.
92651/94
Calculate -563484117 divided by 40269.
-13993
Divide 21132958 by -2.
-10566479
Divide 63678479 by -4.
-63678479/4
234634023 divided by -668473
-351
Calculate 3 divided by -143985202.
-3/143985202
4142 divided by -9472
-2071/4736
-113081 divided by 338
-113081/338
What is -419208 divided by -24?
17467
Calculate 3184089 divided by -2.
-3184089/2
What is -53904 divided by -4653?
17968/1551
What is -624507458 divided by -2?
312253729
Divide 11416631 by 1.
11416631
-9593290 divided by -100982
95
Divide 395271129 by -2343.
-168703
What is 6481041 divided by -20?
-6481041/20
Divide 7380 by 14.
3690/7
What is -44429500 divided by -88859?
500
Divide -7290054 by -2286.
3189
Calculate 7446175 divided by -676925.
-11
What is -1292547380 divided by -323136845?
4
Calculate -9420088 divided by -1636.
5758
-2 divided by -19319480
1/9659740
What is -20592957 divided by -717?
28721
Divide 32670560 by 314140.
104
Divide -15325432 by 68.
-225374
What is 13681500 divided by 1368150?
10
Calculate 0 divided by 9493747.
0
What is 6617850 divided by 3?
2205950
What is -2228826 divided by -22?
1114413/11
5577877 divided by -30817
-181
Divide 65913510 by -130.
-507027
What is -141270290 divided by -4?
70635145/2
Calculate 18321186 divided by 6.
3053531
What is 83182812 divided by 161207?
516
-143811 divided by 71
-143811/71
What is 842317326 divided by -93590814?
-9
-179704845 divided by 292203
-615
Calculate 801 divided by -199794.
-267/66598
-15 divided by -602492
15/602492
Divide 29907336 by -7476834.
-4
Calculate -309424635 divided by 203435.
-1521
282595872 divided by 78
3623024
Divide -9034542 by 2658.
-3399
Divide -643199 by 5.
-643199/5
What is 18543883 divided by 2?
18543883/2
Calculate -411 divided by 9633.
-137/3211
What is 2617 divided by 212442?
2617/212442
Divide 2852555 by 165.
570511/33
25824 divided by -475
-25824/475
Divide -180215 by 118.
-180215/118
Divide -519 by 24917.
-519/24917
3 divided by -6917280
-1/2305760
Divide 30848520 by 30848520.
1
What is 309 divided by -214175?
-309/214175
What is -13054713 divided by -136?
13054713/136
What is 17928106 divided by -82618?
-217
3121 divided by -346931
-3121/346931
99309 divided by 71
99309/71
What is 525288 divided by -567?
-175096/189
1585 divided by -2366
-1585/2366
Calculate 53142995 divided by 23.
2310565
-229609550 divided by -3950
58129
Divide -14348 by -9158.
7174/4579
Divide -973 by -13662.
973/13662
Divide -217288 by 15.
-217288/15
2024 divided by -11573
-2024/11573
Divide 36577 by -306.
-36577/306
-51907086 divided by -63
823922
What is 50134047 divided by -4?
-50134047/4
What is -618309 divided by -3?
206103
What is 94242705 divided by -18848541?
-5
Calculate 14650776 divided by -24.
-610449
Calculate 320364 divided by -6.
-53394
-1643074 divided by 17
-1643074/17
Calculate 14023040 divided by -1.
-14023040
Divide -57520 by -6.
28760/3
What is 13827520 divided by 864220?
16
What is -4 divided by -6377805?
4/6377805
Calculate -430289430 divided by 345614.
-1245
What is 8220295 divided by -205?
-40099
70294754 divided by -2539
-27686
Divide 10243307 by 1.
10243307
Divide -216344250 by 32051.
-6750
What is 24726656 divided by 74?
334144
What is 15 divided by -19873?
-15/19873
What is -38297284 divided by -660298?
58
Calculate 1 divided by -100428.
-1/100428
Calculate 34225369 divided by -34123.
-1003
-2389560 divided by -36
199130/3
Calculate 3310560 divided by 4.
827640
Calculate -421576920 divided by -5.
84315384
What is 602810888 divided by 346?
1742228
What is -601557663 divided by -2?
601557663/2
Divide 69 by 1217883.
23/405961
What is 36507142 divided by 6?
18253571/3
What is -7291644 divided by 83812?
-87
What is 72 divided by -51949?
-72/51949
What is -566714218 divided by -7?
80959174
What is 4 divided by -54011?
-4/54011
-550 divided by -11317
550/11317
What is -30815150 divided by -9950?
3097
Divide 4 by 3847340.
1/961835
What is 2244309444 divided by 1?
2244309444
Calculate 2237846 divided by 4.
1118923/2
Calculate 26083 divided by 4817.
26083/4817
Calculate -6793192 divided by -6.
3396596/3
Divide -293151 by 328.
-293151/328
1 divided by 46012054
1/46012054
Divide -86829 by 1223.
-86829/1223
180249564 divided by 5462108
33
93 divided by 16967
93/16967
What is -244320318 divided by 3?
-81440106
13699315 divided by -7
-1957045
Calculate 15287590 divided by 179854.
85
-827581749 divided by 3
-275860583
Calculate -18142 divided by 862.
-9071/431
5174574 divided by 14334
361
Divide -28749830 by -5749966.
5
Calculate -4626 divided by -12004.
2313/6002
Divide -1986908 by -12902.
154
Calculate 2727094 divided by 2.
1363547
-67968094 divided by -700702
97
-378944 divided by 64
-5921
0 divided by -71030330
0
Calculate -136 divided by -8361182.
68/4180591
-2044 divided by 936
-511/234
2560512 divided by -1280256
-2
6518 divided by 896
3259/448
What is 3625 divided by -8612?
-3625/8612
Divide 6 by 368554.
3/184277
Calculate -32392424 divided by -398.
81388
Calculate -1744372 divided by -124598.
14
What is -3959220 divided by -1979610?
2
Divide 12 by 127747.
12/127747
Divide 50241510 by 22.
2283705
247230510 divided by 852519
290
What is 10 divided by 21340888?
5/10670444
Divide -4 by 7965445.
-4/7965445
What is -53 divided by 855455?
-53/855455
10728795 divided by -2145759
-5
What is -3 divided by -1734570?
1/578190
Divide -1 by -168810311.
1/168810311
Calculate -166292719 divided by 166292719.
-1
Divide -20232770 by 11.
-20232770/11
12186512 divided by 2
6093256
5 divided by -2415172
-5/2415172
60 divided by 4508
15/1127
-41159 divided by -521
79
7 divided by 288365
1/41195
Divide -1438485 by -124.
1438485/124
What is -25163559 divided by -15?
8387853/5
13760292 divided by -21
-655252
Calculate -8642520 divided by -120.
72021
Divide -1486 by -12050.
743/602 | {
"pile_set_name": "DM Mathematics"
} |
the nearest integer?
4
What is the third root of 953527 to the nearest integer?
98
What is the cube root of 8992 to the nearest integer?
21
What is the square root of 25377 to the nearest integer?
159
What is 470035 to the power of 1/7, to the nearest integer?
6
What is the square root of 182482 to the nearest integer?
427
What is the fifth root of 34274 to the nearest integer?
8
What is the fifth root of 26147509 to the nearest integer?
30
What is the seventh root of 2732798 to the nearest integer?
8
What is the seventh root of 2959469 to the nearest integer?
8
What is 40287 to the power of 1/8, to the nearest integer?
4
What is the third root of 27918093 to the nearest integer?
303
What is 7993601 to the power of 1/7, to the nearest integer?
10
What is the eighth root of 62418 to the nearest integer?
4
What is the fourth root of 19741994 to the nearest integer?
67
What is 612793 to the power of 1/4, to the nearest integer?
28
What is 291413 to the power of 1/3, to the nearest integer?
66
What is 6396448 to the power of 1/8, to the nearest integer?
7
What is 3153735 to the power of 1/5, to the nearest integer?
20
What is the cube root of 185047 to the nearest integer?
57
What is the cube root of 331460 to the nearest integer?
69
What is the square root of 586136 to the nearest integer?
766
What is the third root of 5068975 to the nearest integer?
172
What is the square root of 42562252 to the nearest integer?
6524
What is 9844223 to the power of 1/2, to the nearest integer?
3138
What is 656969 to the power of 1/3, to the nearest integer?
87
What is 6819645 to the power of 1/7, to the nearest integer?
9
What is 3034951 to the power of 1/10, to the nearest integer?
4
What is the square root of 1381917 to the nearest integer?
1176
What is the sixth root of 14668916 to the nearest integer?
16
What is the ninth root of 2859583 to the nearest integer?
5
What is the seventh root of 253665 to the nearest integer?
6
What is 184849 to the power of 1/8, to the nearest integer?
5
What is the cube root of 23344 to the nearest integer?
29
What is the cube root of 767728 to the nearest integer?
92
What is the cube root of 255203 to the nearest integer?
63
What is the cube root of 337243 to the nearest integer?
70
What is 5606612 to the power of 1/3, to the nearest integer?
178
What is 240234 to the power of 1/2, to the nearest integer?
490
What is 1743408 to the power of 1/2, to the nearest integer?
1320
What is 5963987 to the power of 1/5, to the nearest integer?
23
What is the third root of 304020 to the nearest integer?
67
What is the fifth root of 2445408 to the nearest integer?
19
What is 216658 to the power of 1/3, to the nearest integer?
60
What is 30364 to the power of 1/9, to the nearest integer?
3
What is the square root of 285051 to the nearest integer?
534
What is 3539224 to the power of 1/2, to the nearest integer?
1881
What is 342819 to the power of 1/8, to the nearest integer?
5
What is the third root of 415285 to the nearest integer?
75
What is 1593143 to the power of 1/2, to the nearest integer?
1262
What is the cube root of 17273 to the nearest integer?
26
What is the square root of 1705484 to the nearest integer?
1306
What is 2838952 to the power of 1/2, to the nearest integer?
1685
What is the square root of 1017052 to the nearest integer?
1008
What is the fifth root of 56908 to the nearest integer?
9
What is the square root of 1549982 to the nearest integer?
1245
What is 167872 to the power of 1/5, to the nearest integer?
11
What is 4541930 to the power of 1/2, to the nearest integer?
2131
What is the square root of 663597 to the nearest integer?
815
What is 2638821 to the power of 1/2, to the nearest integer?
1624
What is 25785474 to the power of 1/5, to the nearest integer?
30
What is 1949552 to the power of 1/2, to the nearest integer?
1396
What is 5842081 to the power of 1/3, to the nearest integer?
180
What is 700204 to the power of 1/2, to the nearest integer?
837
What is the fifth root of 418481 to the nearest integer?
13
What is the sixth root of 359925 to the nearest integer?
8
What is the third root of 367030 to the nearest integer?
72
What is the cube root of 2775689 to the nearest integer?
141
What is the cube root of 196651 to the nearest integer?
58
What is 1266600 to the power of 1/2, to the nearest integer?
1125
What is 34662 to the power of 1/10, to the nearest integer?
3
What is the cube root of 212127 to the nearest integer?
60
What is 1293645 to the power of 1/3, to the nearest integer?
109
What is the seventh root of 16827222 to the nearest integer?
11
What is the fourth root of 192403 to the nearest integer?
21
What is 16047596 to the power of 1/6, to the nearest integer?
16
What is the square root of 119200 to the nearest integer?
345
What is 1483186 to the power of 1/2, to the nearest integer?
1218
What is 7351 to the power of 1/3, to the nearest integer?
19
What is the square root of 3565732 to the nearest integer?
1888
What is the third root of 270776 to the nearest integer?
65
What is 141752 to the power of 1/2, to the nearest integer?
376
What is the square root of 96961 to the nearest integer?
311
What is the square root of 702721 to the nearest integer?
838
What is 15445383 to the power of 1/2, to the nearest integer?
3930
What is 529436 to the power of 1/7, to the nearest integer?
7
What is the cube root of 785825 to the nearest integer?
92
What is the cube root of 342398 to the nearest integer?
70
What is the cube root of 1237970 to the nearest integer?
107
What is the third root of 1979365 to the nearest integer?
126
What is 27024136 to the power of 1/10, to the nearest integer?
6
What is the sixth root of 255413 to the nearest integer?
8
What is the third root of 7074895 to the nearest integer?
192
What is 7188128 to the power of 1/3, to the nearest integer?
193
What is 1220077 to the power of 1/2, to the nearest integer?
1105
What is 441704 to the power of 1/2, to the nearest integer?
665
What is the third root of 249454 to the nearest integer?
63
What is the square root of 444449 to the nearest integer?
667
What is the third root of 2738482 to the nearest integer?
140
What is 2634967 to the power of 1/4, to the nearest integer?
40
What is 14919128 to the power of 1/10, to the nearest integer?
5
What is the square root of 877413 to the nearest integer?
937
What is the eighth root of 2404427 to the nearest integer?
6
What is the third root of 22154957 to the nearest integer?
281
What is the third root of 981415 to the nearest integer?
99
What is 144700 to the power of 1/10, to the nearest integer?
3
What is 7539700 to the power of 1/3, to the nearest integer?
196
What is the fifth root of 4293403 to the nearest integer?
21
What is the cube root of 1604906 to the nearest integer?
117
What is the third root of 227034 to the nearest integer?
61
What is 26264489 to the power of 1/8, to the nearest integer?
8
What is 1493554 to the power of 1/9, to the nearest integer?
5
What is 1796488 to the power of 1/2, to the nearest integer?
1340
What is 659632 to the power of 1/8, to the nearest integer?
5
What is the tenth root of 13135930 to the nearest integer?
5
What is the tenth root of 1440490 to the nearest integer?
4
What is 1192663 to the power of 1/3, to the nearest integer?
106
What is the square root of 271241 to the nearest integer?
521
What is the fourth root of 2865318 to the nearest integer?
41
What is the square root of 844618 to the nearest integer?
919
What is 799953 to the power of 1/3, to the nearest integer?
93
What is the ninth root of 94215 to the nearest integer?
4
What is the eighth root of 932849 to the nearest integer?
6
What is 934283 to the power of 1/2, to the nearest integer?
967
What is the third root of 343498 to the nearest integer?
70
What is 6982272 to the power of 1/9, to the nearest integer?
6
What is the cube root of 635349 to the nearest integer?
86
What is 372821 to the power of 1/2, to the nearest integer?
611
What is 1044686 to the power of 1/3, to the nearest integer?
101
What is the third root of 10756230 to the nearest integer?
221
What is the cube root of 38521716 to the nearest integer?
338
What is 1627871 to the power of 1/10, to the nearest integer?
4
What is the | {
"pile_set_name": "DM Mathematics"
} |
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