Datasets:
Roman190928
/
LargeAlgebra

Dataset card Data Studio Files
xet
Community
1
Problem
stringlengths
16
20
Solution
float64
-20
20
Reasoning
stringlengths
77
86
6.0x + 3.0 = -3.0
-1
Given: 6.0x + 3.0 = -3.0 | Subtract 3.0 → 6.0x = -6.0 | Divide by 6.0 → x = -1.0
6.0x + -10.0 = -9.0
0.167
Given: 6.0x + -10.0 = -9.0 | Subtract -10.0 → 6.0x = 1.0 | Divide by 6.0 → x = 0.167
8.0x + -7.0 = -2.0
0.625
Given: 8.0x + -7.0 = -2.0 | Subtract -7.0 → 8.0x = 5.0 | Divide by 8.0 → x = 0.625
4.0x + -9.0 = -7.0
0.5
Given: 4.0x + -9.0 = -7.0 | Subtract -9.0 → 4.0x = 2.0 | Divide by 4.0 → x = 0.5
2.0x + 9.0 = 6.0
-1.5
Given: 2.0x + 9.0 = 6.0 | Subtract 9.0 → 2.0x = -3.0 | Divide by 2.0 → x = -1.5
9.0x + -6.0 = 2.0
0.889
Given: 9.0x + -6.0 = 2.0 | Subtract -6.0 → 9.0x = 8.0 | Divide by 9.0 → x = 0.889
2.0x + -3.0 = 10.0
6.5
Given: 2.0x + -3.0 = 10.0 | Subtract -3.0 → 2.0x = 13.0 | Divide by 2.0 → x = 6.5
4.0x + 10.0 = 7.0
-0.75
Given: 4.0x + 10.0 = 7.0 | Subtract 10.0 → 4.0x = -3.0 | Divide by 4.0 → x = -0.75
2.0x + -6.0 = -8.0
-1
Given: 2.0x + -6.0 = -8.0 | Subtract -6.0 → 2.0x = -2.0 | Divide by 2.0 → x = -1.0
2.0x + 6.0 = 10.0
2
Given: 2.0x + 6.0 = 10.0 | Subtract 6.0 → 2.0x = 4.0 | Divide by 2.0 → x = 2.0
3.0x + -10.0 = 4.0
4.667
Given: 3.0x + -10.0 = 4.0 | Subtract -10.0 → 3.0x = 14.0 | Divide by 3.0 → x = 4.667
2.0x + 4.0 = 7.0
1.5
Given: 2.0x + 4.0 = 7.0 | Subtract 4.0 → 2.0x = 3.0 | Divide by 2.0 → x = 1.5
3.0x + 4.0 = 2.0
-0.667
Given: 3.0x + 4.0 = 2.0 | Subtract 4.0 → 3.0x = -2.0 | Divide by 3.0 → x = -0.667
6.0x + -9.0 = -10.0
-0.167
Given: 6.0x + -9.0 = -10.0 | Subtract -9.0 → 6.0x = -1.0 | Divide by 6.0 → x = -0.167
7.0x + 7.0 = 4.0
-0.429
Given: 7.0x + 7.0 = 4.0 | Subtract 7.0 → 7.0x = -3.0 | Divide by 7.0 → x = -0.429
5.0x + -2.0 = 9.0
2.2
Given: 5.0x + -2.0 = 9.0 | Subtract -2.0 → 5.0x = 11.0 | Divide by 5.0 → x = 2.2
3.0x + -3.0 = -7.0
-1.333
Given: 3.0x + -3.0 = -7.0 | Subtract -3.0 → 3.0x = -4.0 | Divide by 3.0 → x = -1.333
6.0x + 10.0 = 1.0
-1.5
Given: 6.0x + 10.0 = 1.0 | Subtract 10.0 → 6.0x = -9.0 | Divide by 6.0 → x = -1.5
7.0x + -5.0 = 3.0
1.143
Given: 7.0x + -5.0 = 3.0 | Subtract -5.0 → 7.0x = 8.0 | Divide by 7.0 → x = 1.143
2.0x + -6.0 = -7.0
-0.5
Given: 2.0x + -6.0 = -7.0 | Subtract -6.0 → 2.0x = -1.0 | Divide by 2.0 → x = -0.5
5.0x + 5.0 = -5.0
-2
Given: 5.0x + 5.0 = -5.0 | Subtract 5.0 → 5.0x = -10.0 | Divide by 5.0 → x = -2.0
6.0x + -8.0 = -9.0
-0.167
Given: 6.0x + -8.0 = -9.0 | Subtract -8.0 → 6.0x = -1.0 | Divide by 6.0 → x = -0.167
4.0x + -4.0 = 1.0
1.25
Given: 4.0x + -4.0 = 1.0 | Subtract -4.0 → 4.0x = 5.0 | Divide by 4.0 → x = 1.25
5.0x + 8.0 = 9.0
0.2
Given: 5.0x + 8.0 = 9.0 | Subtract 8.0 → 5.0x = 1.0 | Divide by 5.0 → x = 0.2
2.0x + -10.0 = 9.0
9.5
Given: 2.0x + -10.0 = 9.0 | Subtract -10.0 → 2.0x = 19.0 | Divide by 2.0 → x = 9.5
4.0x + 5.0 = -7.0
-3
Given: 4.0x + 5.0 = -7.0 | Subtract 5.0 → 4.0x = -12.0 | Divide by 4.0 → x = -3.0
7.0x + -2.0 = 0.0
0.286
Given: 7.0x + -2.0 = 0.0 | Subtract -2.0 → 7.0x = 2.0 | Divide by 7.0 → x = 0.286
9.0x + 10.0 = -7.0
-1.889
Given: 9.0x + 10.0 = -7.0 | Subtract 10.0 → 9.0x = -17.0 | Divide by 9.0 → x = -1.889
4.0x + -5.0 = -7.0
-0.5
Given: 4.0x + -5.0 = -7.0 | Subtract -5.0 → 4.0x = -2.0 | Divide by 4.0 → x = -0.5
5.0x + 6.0 = -2.0
-1.6
Given: 5.0x + 6.0 = -2.0 | Subtract 6.0 → 5.0x = -8.0 | Divide by 5.0 → x = -1.6
8.0x + -8.0 = -6.0
0.25
Given: 8.0x + -8.0 = -6.0 | Subtract -8.0 → 8.0x = 2.0 | Divide by 8.0 → x = 0.25
6.0x + -5.0 = -9.0
-0.667
Given: 6.0x + -5.0 = -9.0 | Subtract -5.0 → 6.0x = -4.0 | Divide by 6.0 → x = -0.667
2.0x + 6.0 = 10.0
2
Given: 2.0x + 6.0 = 10.0 | Subtract 6.0 → 2.0x = 4.0 | Divide by 2.0 → x = 2.0
3.0x + -6.0 = -4.0
0.667
Given: 3.0x + -6.0 = -4.0 | Subtract -6.0 → 3.0x = 2.0 | Divide by 3.0 → x = 0.667
8.0x + -3.0 = 3.0
0.75
Given: 8.0x + -3.0 = 3.0 | Subtract -3.0 → 8.0x = 6.0 | Divide by 8.0 → x = 0.75
4.0x + -3.0 = 4.0
1.75
Given: 4.0x + -3.0 = 4.0 | Subtract -3.0 → 4.0x = 7.0 | Divide by 4.0 → x = 1.75
3.0x + -3.0 = 5.0
2.667
Given: 3.0x + -3.0 = 5.0 | Subtract -3.0 → 3.0x = 8.0 | Divide by 3.0 → x = 2.667
6.0x + -1.0 = 7.0
1.333
Given: 6.0x + -1.0 = 7.0 | Subtract -1.0 → 6.0x = 8.0 | Divide by 6.0 → x = 1.333
7.0x + 10.0 = 10.0
0
Given: 7.0x + 10.0 = 10.0 | Subtract 10.0 → 7.0x = 0.0 | Divide by 7.0 → x = 0.0
8.0x + -7.0 = -2.0
0.625
Given: 8.0x + -7.0 = -2.0 | Subtract -7.0 → 8.0x = 5.0 | Divide by 8.0 → x = 0.625
2.0x + -10.0 = -10.0
0
Given: 2.0x + -10.0 = -10.0 | Subtract -10.0 → 2.0x = 0.0 | Divide by 2.0 → x = 0.0
7.0x + 1.0 = -1.0
-0.286
Given: 7.0x + 1.0 = -1.0 | Subtract 1.0 → 7.0x = -2.0 | Divide by 7.0 → x = -0.286
4.0x + -7.0 = -5.0
0.5
Given: 4.0x + -7.0 = -5.0 | Subtract -7.0 → 4.0x = 2.0 | Divide by 4.0 → x = 0.5
2.0x + -5.0 = -2.0
1.5
Given: 2.0x + -5.0 = -2.0 | Subtract -5.0 → 2.0x = 3.0 | Divide by 2.0 → x = 1.5
1.0x + 5.0 = -4.0
-9
Given: 1.0x + 5.0 = -4.0 | Subtract 5.0 → 1.0x = -9.0 | Divide by 1.0 → x = -9.0
3.0x + -10.0 = -8.0
0.667
Given: 3.0x + -10.0 = -8.0 | Subtract -10.0 → 3.0x = 2.0 | Divide by 3.0 → x = 0.667
7.0x + -1.0 = -2.0
-0.143
Given: 7.0x + -1.0 = -2.0 | Subtract -1.0 → 7.0x = -1.0 | Divide by 7.0 → x = -0.143
2.0x + 7.0 = -10.0
-8.5
Given: 2.0x + 7.0 = -10.0 | Subtract 7.0 → 2.0x = -17.0 | Divide by 2.0 → x = -8.5
4.0x + -7.0 = -7.0
0
Given: 4.0x + -7.0 = -7.0 | Subtract -7.0 → 4.0x = 0.0 | Divide by 4.0 → x = 0.0
6.0x + 10.0 = 8.0
-0.333
Given: 6.0x + 10.0 = 8.0 | Subtract 10.0 → 6.0x = -2.0 | Divide by 6.0 → x = -0.333
5.0x + -8.0 = 5.0
2.6
Given: 5.0x + -8.0 = 5.0 | Subtract -8.0 → 5.0x = 13.0 | Divide by 5.0 → x = 2.6
2.0x + -8.0 = 2.0
5
Given: 2.0x + -8.0 = 2.0 | Subtract -8.0 → 2.0x = 10.0 | Divide by 2.0 → x = 5.0
2.0x + 7.0 = -5.0
-6
Given: 2.0x + 7.0 = -5.0 | Subtract 7.0 → 2.0x = -12.0 | Divide by 2.0 → x = -6.0
3.0x + -9.0 = -4.0
1.667
Given: 3.0x + -9.0 = -4.0 | Subtract -9.0 → 3.0x = 5.0 | Divide by 3.0 → x = 1.667
8.0x + -8.0 = 7.0
1.875
Given: 8.0x + -8.0 = 7.0 | Subtract -8.0 → 8.0x = 15.0 | Divide by 8.0 → x = 1.875
1.0x + 9.0 = -9.0
-18
Given: 1.0x + 9.0 = -9.0 | Subtract 9.0 → 1.0x = -18.0 | Divide by 1.0 → x = -18.0
8.0x + -4.0 = 6.0
1.25
Given: 8.0x + -4.0 = 6.0 | Subtract -4.0 → 8.0x = 10.0 | Divide by 8.0 → x = 1.25
6.0x + -3.0 = 4.0
1.167
Given: 6.0x + -3.0 = 4.0 | Subtract -3.0 → 6.0x = 7.0 | Divide by 6.0 → x = 1.167
1.0x + -10.0 = -7.0
3
Given: 1.0x + -10.0 = -7.0 | Subtract -10.0 → 1.0x = 3.0 | Divide by 1.0 → x = 3.0
8.0x + -1.0 = -7.0
-0.75
Given: 8.0x + -1.0 = -7.0 | Subtract -1.0 → 8.0x = -6.0 | Divide by 8.0 → x = -0.75
7.0x + -4.0 = 5.0
1.286
Given: 7.0x + -4.0 = 5.0 | Subtract -4.0 → 7.0x = 9.0 | Divide by 7.0 → x = 1.286
5.0x + -7.0 = 6.0
2.6
Given: 5.0x + -7.0 = 6.0 | Subtract -7.0 → 5.0x = 13.0 | Divide by 5.0 → x = 2.6
1.0x + 4.0 = 9.0
5
Given: 1.0x + 4.0 = 9.0 | Subtract 4.0 → 1.0x = 5.0 | Divide by 1.0 → x = 5.0
4.0x + 10.0 = 5.0
-1.25
Given: 4.0x + 10.0 = 5.0 | Subtract 10.0 → 4.0x = -5.0 | Divide by 4.0 → x = -1.25
7.0x + 2.0 = -3.0
-0.714
Given: 7.0x + 2.0 = -3.0 | Subtract 2.0 → 7.0x = -5.0 | Divide by 7.0 → x = -0.714
8.0x + -3.0 = 5.0
1
Given: 8.0x + -3.0 = 5.0 | Subtract -3.0 → 8.0x = 8.0 | Divide by 8.0 → x = 1.0
5.0x + -5.0 = 1.0
1.2
Given: 5.0x + -5.0 = 1.0 | Subtract -5.0 → 5.0x = 6.0 | Divide by 5.0 → x = 1.2
5.0x + 1.0 = 3.0
0.4
Given: 5.0x + 1.0 = 3.0 | Subtract 1.0 → 5.0x = 2.0 | Divide by 5.0 → x = 0.4
6.0x + 9.0 = 5.0
-0.667
Given: 6.0x + 9.0 = 5.0 | Subtract 9.0 → 6.0x = -4.0 | Divide by 6.0 → x = -0.667
1.0x + -6.0 = -9.0
-3
Given: 1.0x + -6.0 = -9.0 | Subtract -6.0 → 1.0x = -3.0 | Divide by 1.0 → x = -3.0
9.0x + 5.0 = 3.0
-0.222
Given: 9.0x + 5.0 = 3.0 | Subtract 5.0 → 9.0x = -2.0 | Divide by 9.0 → x = -0.222
2.0x + -1.0 = 4.0
2.5
Given: 2.0x + -1.0 = 4.0 | Subtract -1.0 → 2.0x = 5.0 | Divide by 2.0 → x = 2.5
7.0x + -7.0 = 4.0
1.571
Given: 7.0x + -7.0 = 4.0 | Subtract -7.0 → 7.0x = 11.0 | Divide by 7.0 → x = 1.571
5.0x + 6.0 = 1.0
-1
Given: 5.0x + 6.0 = 1.0 | Subtract 6.0 → 5.0x = -5.0 | Divide by 5.0 → x = -1.0
1.0x + 1.0 = -9.0
-10
Given: 1.0x + 1.0 = -9.0 | Subtract 1.0 → 1.0x = -10.0 | Divide by 1.0 → x = -10.0
7.0x + -3.0 = -3.0
0
Given: 7.0x + -3.0 = -3.0 | Subtract -3.0 → 7.0x = 0.0 | Divide by 7.0 → x = 0.0
6.0x + -6.0 = 4.0
1.667
Given: 6.0x + -6.0 = 4.0 | Subtract -6.0 → 6.0x = 10.0 | Divide by 6.0 → x = 1.667
7.0x + 0.0 = 5.0
0.714
Given: 7.0x + 0.0 = 5.0 | Subtract 0.0 → 7.0x = 5.0 | Divide by 7.0 → x = 0.714
8.0x + 4.0 = -4.0
-1
Given: 8.0x + 4.0 = -4.0 | Subtract 4.0 → 8.0x = -8.0 | Divide by 8.0 → x = -1.0
8.0x + 0.0 = 0.0
0
Given: 8.0x + 0.0 = 0.0 | Subtract 0.0 → 8.0x = 0.0 | Divide by 8.0 → x = 0.0
5.0x + -1.0 = 8.0
1.8
Given: 5.0x + -1.0 = 8.0 | Subtract -1.0 → 5.0x = 9.0 | Divide by 5.0 → x = 1.8
7.0x + -4.0 = -6.0
-0.286
Given: 7.0x + -4.0 = -6.0 | Subtract -4.0 → 7.0x = -2.0 | Divide by 7.0 → x = -0.286
6.0x + 9.0 = 10.0
0.167
Given: 6.0x + 9.0 = 10.0 | Subtract 9.0 → 6.0x = 1.0 | Divide by 6.0 → x = 0.167
3.0x + 1.0 = 3.0
0.667
Given: 3.0x + 1.0 = 3.0 | Subtract 1.0 → 3.0x = 2.0 | Divide by 3.0 → x = 0.667
4.0x + -1.0 = -10.0
-2.25
Given: 4.0x + -1.0 = -10.0 | Subtract -1.0 → 4.0x = -9.0 | Divide by 4.0 → x = -2.25
9.0x + -1.0 = 5.0
0.667
Given: 9.0x + -1.0 = 5.0 | Subtract -1.0 → 9.0x = 6.0 | Divide by 9.0 → x = 0.667
6.0x + -3.0 = -2.0
0.167
Given: 6.0x + -3.0 = -2.0 | Subtract -3.0 → 6.0x = 1.0 | Divide by 6.0 → x = 0.167
2.0x + 9.0 = 4.0
-2.5
Given: 2.0x + 9.0 = 4.0 | Subtract 9.0 → 2.0x = -5.0 | Divide by 2.0 → x = -2.5
1.0x + -5.0 = 2.0
7
Given: 1.0x + -5.0 = 2.0 | Subtract -5.0 → 1.0x = 7.0 | Divide by 1.0 → x = 7.0
4.0x + 7.0 = -8.0
-3.75
Given: 4.0x + 7.0 = -8.0 | Subtract 7.0 → 4.0x = -15.0 | Divide by 4.0 → x = -3.75
5.0x + 9.0 = -4.0
-2.6
Given: 5.0x + 9.0 = -4.0 | Subtract 9.0 → 5.0x = -13.0 | Divide by 5.0 → x = -2.6
2.0x + -9.0 = -10.0
-0.5
Given: 2.0x + -9.0 = -10.0 | Subtract -9.0 → 2.0x = -1.0 | Divide by 2.0 → x = -0.5
2.0x + 6.0 = -2.0
-4
Given: 2.0x + 6.0 = -2.0 | Subtract 6.0 → 2.0x = -8.0 | Divide by 2.0 → x = -4.0
9.0x + 9.0 = -6.0
-1.667
Given: 9.0x + 9.0 = -6.0 | Subtract 9.0 → 9.0x = -15.0 | Divide by 9.0 → x = -1.667
5.0x + -7.0 = 10.0
3.4
Given: 5.0x + -7.0 = 10.0 | Subtract -7.0 → 5.0x = 17.0 | Divide by 5.0 → x = 3.4
4.0x + 9.0 = -6.0
-3.75
Given: 4.0x + 9.0 = -6.0 | Subtract 9.0 → 4.0x = -15.0 | Divide by 4.0 → x = -3.75
3.0x + -9.0 = -4.0
1.667
Given: 3.0x + -9.0 = -4.0 | Subtract -9.0 → 3.0x = 5.0 | Divide by 3.0 → x = 1.667
1.0x + 1.0 = -8.0
-9
Given: 1.0x + 1.0 = -8.0 | Subtract 1.0 → 1.0x = -9.0 | Divide by 1.0 → x = -9.0
4.0x + 7.0 = -4.0
-2.75
Given: 4.0x + 7.0 = -4.0 | Subtract 7.0 → 4.0x = -11.0 | Divide by 4.0 → x = -2.75
2.0x + -3.0 = -10.0
-3.5
Given: 2.0x + -3.0 = -10.0 | Subtract -3.0 → 2.0x = -7.0 | Divide by 2.0 → x = -3.5