Problem
stringlengths
16
20
Solution
float64
-20
20
Reasoning
stringlengths
77
86
5.0x + 10.0 = 1.0
-1.8
Given: 5.0x + 10.0 = 1.0 | Subtract 10.0 β†’ 5.0x = -9.0 | Divide by 5.0 β†’ x = -1.8
7.0x + 2.0 = -1.0
-0.429
Given: 7.0x + 2.0 = -1.0 | Subtract 2.0 β†’ 7.0x = -3.0 | Divide by 7.0 β†’ x = -0.429
9.0x + -7.0 = 6.0
1.444
Given: 9.0x + -7.0 = 6.0 | Subtract -7.0 β†’ 9.0x = 13.0 | Divide by 9.0 β†’ x = 1.444
6.0x + 5.0 = -8.0
-2.167
Given: 6.0x + 5.0 = -8.0 | Subtract 5.0 β†’ 6.0x = -13.0 | Divide by 6.0 β†’ x = -2.167
1.0x + -6.0 = 10.0
16
Given: 1.0x + -6.0 = 10.0 | Subtract -6.0 β†’ 1.0x = 16.0 | Divide by 1.0 β†’ x = 16.0
7.0x + 0.0 = 5.0
0.714
Given: 7.0x + 0.0 = 5.0 | Subtract 0.0 β†’ 7.0x = 5.0 | Divide by 7.0 β†’ x = 0.714
5.0x + 5.0 = 2.0
-0.6
Given: 5.0x + 5.0 = 2.0 | Subtract 5.0 β†’ 5.0x = -3.0 | Divide by 5.0 β†’ x = -0.6
2.0x + -6.0 = -1.0
2.5
Given: 2.0x + -6.0 = -1.0 | Subtract -6.0 β†’ 2.0x = 5.0 | Divide by 2.0 β†’ x = 2.5
9.0x + 10.0 = -5.0
-1.667
Given: 9.0x + 10.0 = -5.0 | Subtract 10.0 β†’ 9.0x = -15.0 | Divide by 9.0 β†’ x = -1.667
8.0x + -3.0 = -2.0
0.125
Given: 8.0x + -3.0 = -2.0 | Subtract -3.0 β†’ 8.0x = 1.0 | Divide by 8.0 β†’ x = 0.125
4.0x + 4.0 = -5.0
-2.25
Given: 4.0x + 4.0 = -5.0 | Subtract 4.0 β†’ 4.0x = -9.0 | Divide by 4.0 β†’ x = -2.25
8.0x + 2.0 = 10.0
1
Given: 8.0x + 2.0 = 10.0 | Subtract 2.0 β†’ 8.0x = 8.0 | Divide by 8.0 β†’ x = 1.0
5.0x + 10.0 = 4.0
-1.2
Given: 5.0x + 10.0 = 4.0 | Subtract 10.0 β†’ 5.0x = -6.0 | Divide by 5.0 β†’ x = -1.2
1.0x + 1.0 = 6.0
5
Given: 1.0x + 1.0 = 6.0 | Subtract 1.0 β†’ 1.0x = 5.0 | Divide by 1.0 β†’ x = 5.0
8.0x + -6.0 = -3.0
0.375
Given: 8.0x + -6.0 = -3.0 | Subtract -6.0 β†’ 8.0x = 3.0 | Divide by 8.0 β†’ x = 0.375
1.0x + 3.0 = -6.0
-9
Given: 1.0x + 3.0 = -6.0 | Subtract 3.0 β†’ 1.0x = -9.0 | Divide by 1.0 β†’ x = -9.0
1.0x + -5.0 = 1.0
6
Given: 1.0x + -5.0 = 1.0 | Subtract -5.0 β†’ 1.0x = 6.0 | Divide by 1.0 β†’ x = 6.0
2.0x + -10.0 = -8.0
1
Given: 2.0x + -10.0 = -8.0 | Subtract -10.0 β†’ 2.0x = 2.0 | Divide by 2.0 β†’ x = 1.0
7.0x + -8.0 = -2.0
0.857
Given: 7.0x + -8.0 = -2.0 | Subtract -8.0 β†’ 7.0x = 6.0 | Divide by 7.0 β†’ x = 0.857
5.0x + -8.0 = -9.0
-0.2
Given: 5.0x + -8.0 = -9.0 | Subtract -8.0 β†’ 5.0x = -1.0 | Divide by 5.0 β†’ x = -0.2
3.0x + 4.0 = -1.0
-1.667
Given: 3.0x + 4.0 = -1.0 | Subtract 4.0 β†’ 3.0x = -5.0 | Divide by 3.0 β†’ x = -1.667
7.0x + -6.0 = -8.0
-0.286
Given: 7.0x + -6.0 = -8.0 | Subtract -6.0 β†’ 7.0x = -2.0 | Divide by 7.0 β†’ x = -0.286
4.0x + -5.0 = 5.0
2.5
Given: 4.0x + -5.0 = 5.0 | Subtract -5.0 β†’ 4.0x = 10.0 | Divide by 4.0 β†’ x = 2.5
1.0x + 6.0 = -2.0
-8
Given: 1.0x + 6.0 = -2.0 | Subtract 6.0 β†’ 1.0x = -8.0 | Divide by 1.0 β†’ x = -8.0
1.0x + 4.0 = -9.0
-13
Given: 1.0x + 4.0 = -9.0 | Subtract 4.0 β†’ 1.0x = -13.0 | Divide by 1.0 β†’ x = -13.0
5.0x + -6.0 = 0.0
1.2
Given: 5.0x + -6.0 = 0.0 | Subtract -6.0 β†’ 5.0x = 6.0 | Divide by 5.0 β†’ x = 1.2
7.0x + -7.0 = -2.0
0.714
Given: 7.0x + -7.0 = -2.0 | Subtract -7.0 β†’ 7.0x = 5.0 | Divide by 7.0 β†’ x = 0.714
8.0x + 4.0 = -4.0
-1
Given: 8.0x + 4.0 = -4.0 | Subtract 4.0 β†’ 8.0x = -8.0 | Divide by 8.0 β†’ x = -1.0
9.0x + 0.0 = -2.0
-0.222
Given: 9.0x + 0.0 = -2.0 | Subtract 0.0 β†’ 9.0x = -2.0 | Divide by 9.0 β†’ x = -0.222
1.0x + 7.0 = -2.0
-9
Given: 1.0x + 7.0 = -2.0 | Subtract 7.0 β†’ 1.0x = -9.0 | Divide by 1.0 β†’ x = -9.0
5.0x + -1.0 = 1.0
0.4
Given: 5.0x + -1.0 = 1.0 | Subtract -1.0 β†’ 5.0x = 2.0 | Divide by 5.0 β†’ x = 0.4
9.0x + 0.0 = -5.0
-0.556
Given: 9.0x + 0.0 = -5.0 | Subtract 0.0 β†’ 9.0x = -5.0 | Divide by 9.0 β†’ x = -0.556
9.0x + 6.0 = -4.0
-1.111
Given: 9.0x + 6.0 = -4.0 | Subtract 6.0 β†’ 9.0x = -10.0 | Divide by 9.0 β†’ x = -1.111
5.0x + 3.0 = -2.0
-1
Given: 5.0x + 3.0 = -2.0 | Subtract 3.0 β†’ 5.0x = -5.0 | Divide by 5.0 β†’ x = -1.0
9.0x + -8.0 = -10.0
-0.222
Given: 9.0x + -8.0 = -10.0 | Subtract -8.0 β†’ 9.0x = -2.0 | Divide by 9.0 β†’ x = -0.222
7.0x + -1.0 = -5.0
-0.571
Given: 7.0x + -1.0 = -5.0 | Subtract -1.0 β†’ 7.0x = -4.0 | Divide by 7.0 β†’ x = -0.571
5.0x + -8.0 = 9.0
3.4
Given: 5.0x + -8.0 = 9.0 | Subtract -8.0 β†’ 5.0x = 17.0 | Divide by 5.0 β†’ x = 3.4
4.0x + -8.0 = 8.0
4
Given: 4.0x + -8.0 = 8.0 | Subtract -8.0 β†’ 4.0x = 16.0 | Divide by 4.0 β†’ x = 4.0
9.0x + -5.0 = -9.0
-0.444
Given: 9.0x + -5.0 = -9.0 | Subtract -5.0 β†’ 9.0x = -4.0 | Divide by 9.0 β†’ x = -0.444
6.0x + 3.0 = 7.0
0.667
Given: 6.0x + 3.0 = 7.0 | Subtract 3.0 β†’ 6.0x = 4.0 | Divide by 6.0 β†’ x = 0.667
9.0x + -10.0 = 7.0
1.889
Given: 9.0x + -10.0 = 7.0 | Subtract -10.0 β†’ 9.0x = 17.0 | Divide by 9.0 β†’ x = 1.889
2.0x + 6.0 = -4.0
-5
Given: 2.0x + 6.0 = -4.0 | Subtract 6.0 β†’ 2.0x = -10.0 | Divide by 2.0 β†’ x = -5.0
4.0x + -2.0 = -5.0
-0.75
Given: 4.0x + -2.0 = -5.0 | Subtract -2.0 β†’ 4.0x = -3.0 | Divide by 4.0 β†’ x = -0.75
6.0x + -5.0 = -6.0
-0.167
Given: 6.0x + -5.0 = -6.0 | Subtract -5.0 β†’ 6.0x = -1.0 | Divide by 6.0 β†’ x = -0.167
8.0x + 5.0 = -3.0
-1
Given: 8.0x + 5.0 = -3.0 | Subtract 5.0 β†’ 8.0x = -8.0 | Divide by 8.0 β†’ x = -1.0
9.0x + 8.0 = -2.0
-1.111
Given: 9.0x + 8.0 = -2.0 | Subtract 8.0 β†’ 9.0x = -10.0 | Divide by 9.0 β†’ x = -1.111
5.0x + 5.0 = -4.0
-1.8
Given: 5.0x + 5.0 = -4.0 | Subtract 5.0 β†’ 5.0x = -9.0 | Divide by 5.0 β†’ x = -1.8
8.0x + -1.0 = 2.0
0.375
Given: 8.0x + -1.0 = 2.0 | Subtract -1.0 β†’ 8.0x = 3.0 | Divide by 8.0 β†’ x = 0.375
8.0x + 3.0 = 8.0
0.625
Given: 8.0x + 3.0 = 8.0 | Subtract 3.0 β†’ 8.0x = 5.0 | Divide by 8.0 β†’ x = 0.625
5.0x + -8.0 = 3.0
2.2
Given: 5.0x + -8.0 = 3.0 | Subtract -8.0 β†’ 5.0x = 11.0 | Divide by 5.0 β†’ x = 2.2
8.0x + -7.0 = -7.0
0
Given: 8.0x + -7.0 = -7.0 | Subtract -7.0 β†’ 8.0x = 0.0 | Divide by 8.0 β†’ x = 0.0
3.0x + -9.0 = -6.0
1
Given: 3.0x + -9.0 = -6.0 | Subtract -9.0 β†’ 3.0x = 3.0 | Divide by 3.0 β†’ x = 1.0
6.0x + -3.0 = -1.0
0.333
Given: 6.0x + -3.0 = -1.0 | Subtract -3.0 β†’ 6.0x = 2.0 | Divide by 6.0 β†’ x = 0.333
8.0x + 9.0 = 1.0
-1
Given: 8.0x + 9.0 = 1.0 | Subtract 9.0 β†’ 8.0x = -8.0 | Divide by 8.0 β†’ x = -1.0
1.0x + 8.0 = 1.0
-7
Given: 1.0x + 8.0 = 1.0 | Subtract 8.0 β†’ 1.0x = -7.0 | Divide by 1.0 β†’ x = -7.0
8.0x + 1.0 = -6.0
-0.875
Given: 8.0x + 1.0 = -6.0 | Subtract 1.0 β†’ 8.0x = -7.0 | Divide by 8.0 β†’ x = -0.875
8.0x + -2.0 = -5.0
-0.375
Given: 8.0x + -2.0 = -5.0 | Subtract -2.0 β†’ 8.0x = -3.0 | Divide by 8.0 β†’ x = -0.375
9.0x + 1.0 = 5.0
0.444
Given: 9.0x + 1.0 = 5.0 | Subtract 1.0 β†’ 9.0x = 4.0 | Divide by 9.0 β†’ x = 0.444
3.0x + -7.0 = -4.0
1
Given: 3.0x + -7.0 = -4.0 | Subtract -7.0 β†’ 3.0x = 3.0 | Divide by 3.0 β†’ x = 1.0
6.0x + 5.0 = -8.0
-2.167
Given: 6.0x + 5.0 = -8.0 | Subtract 5.0 β†’ 6.0x = -13.0 | Divide by 6.0 β†’ x = -2.167
2.0x + 3.0 = -10.0
-6.5
Given: 2.0x + 3.0 = -10.0 | Subtract 3.0 β†’ 2.0x = -13.0 | Divide by 2.0 β†’ x = -6.5
1.0x + 4.0 = 2.0
-2
Given: 1.0x + 4.0 = 2.0 | Subtract 4.0 β†’ 1.0x = -2.0 | Divide by 1.0 β†’ x = -2.0
5.0x + 5.0 = 7.0
0.4
Given: 5.0x + 5.0 = 7.0 | Subtract 5.0 β†’ 5.0x = 2.0 | Divide by 5.0 β†’ x = 0.4
2.0x + -7.0 = 0.0
3.5
Given: 2.0x + -7.0 = 0.0 | Subtract -7.0 β†’ 2.0x = 7.0 | Divide by 2.0 β†’ x = 3.5
5.0x + 8.0 = -6.0
-2.8
Given: 5.0x + 8.0 = -6.0 | Subtract 8.0 β†’ 5.0x = -14.0 | Divide by 5.0 β†’ x = -2.8
6.0x + 9.0 = -5.0
-2.333
Given: 6.0x + 9.0 = -5.0 | Subtract 9.0 β†’ 6.0x = -14.0 | Divide by 6.0 β†’ x = -2.333
3.0x + -3.0 = 9.0
4
Given: 3.0x + -3.0 = 9.0 | Subtract -3.0 β†’ 3.0x = 12.0 | Divide by 3.0 β†’ x = 4.0
2.0x + 3.0 = -3.0
-3
Given: 2.0x + 3.0 = -3.0 | Subtract 3.0 β†’ 2.0x = -6.0 | Divide by 2.0 β†’ x = -3.0
4.0x + 3.0 = -1.0
-1
Given: 4.0x + 3.0 = -1.0 | Subtract 3.0 β†’ 4.0x = -4.0 | Divide by 4.0 β†’ x = -1.0
8.0x + -3.0 = 10.0
1.625
Given: 8.0x + -3.0 = 10.0 | Subtract -3.0 β†’ 8.0x = 13.0 | Divide by 8.0 β†’ x = 1.625
1.0x + -2.0 = -1.0
1
Given: 1.0x + -2.0 = -1.0 | Subtract -2.0 β†’ 1.0x = 1.0 | Divide by 1.0 β†’ x = 1.0
8.0x + -3.0 = 7.0
1.25
Given: 8.0x + -3.0 = 7.0 | Subtract -3.0 β†’ 8.0x = 10.0 | Divide by 8.0 β†’ x = 1.25
4.0x + 6.0 = 3.0
-0.75
Given: 4.0x + 6.0 = 3.0 | Subtract 6.0 β†’ 4.0x = -3.0 | Divide by 4.0 β†’ x = -0.75
1.0x + 1.0 = 6.0
5
Given: 1.0x + 1.0 = 6.0 | Subtract 1.0 β†’ 1.0x = 5.0 | Divide by 1.0 β†’ x = 5.0
8.0x + 5.0 = 4.0
-0.125
Given: 8.0x + 5.0 = 4.0 | Subtract 5.0 β†’ 8.0x = -1.0 | Divide by 8.0 β†’ x = -0.125
8.0x + 2.0 = -4.0
-0.75
Given: 8.0x + 2.0 = -4.0 | Subtract 2.0 β†’ 8.0x = -6.0 | Divide by 8.0 β†’ x = -0.75
8.0x + 9.0 = 1.0
-1
Given: 8.0x + 9.0 = 1.0 | Subtract 9.0 β†’ 8.0x = -8.0 | Divide by 8.0 β†’ x = -1.0
6.0x + -1.0 = -10.0
-1.5
Given: 6.0x + -1.0 = -10.0 | Subtract -1.0 β†’ 6.0x = -9.0 | Divide by 6.0 β†’ x = -1.5
6.0x + -10.0 = 0.0
1.667
Given: 6.0x + -10.0 = 0.0 | Subtract -10.0 β†’ 6.0x = 10.0 | Divide by 6.0 β†’ x = 1.667
6.0x + 0.0 = 2.0
0.333
Given: 6.0x + 0.0 = 2.0 | Subtract 0.0 β†’ 6.0x = 2.0 | Divide by 6.0 β†’ x = 0.333
5.0x + 6.0 = 4.0
-0.4
Given: 5.0x + 6.0 = 4.0 | Subtract 6.0 β†’ 5.0x = -2.0 | Divide by 5.0 β†’ x = -0.4
7.0x + 1.0 = 6.0
0.714
Given: 7.0x + 1.0 = 6.0 | Subtract 1.0 β†’ 7.0x = 5.0 | Divide by 7.0 β†’ x = 0.714
3.0x + -5.0 = -7.0
-0.667
Given: 3.0x + -5.0 = -7.0 | Subtract -5.0 β†’ 3.0x = -2.0 | Divide by 3.0 β†’ x = -0.667
4.0x + -2.0 = -1.0
0.25
Given: 4.0x + -2.0 = -1.0 | Subtract -2.0 β†’ 4.0x = 1.0 | Divide by 4.0 β†’ x = 0.25
7.0x + 0.0 = 2.0
0.286
Given: 7.0x + 0.0 = 2.0 | Subtract 0.0 β†’ 7.0x = 2.0 | Divide by 7.0 β†’ x = 0.286
3.0x + 9.0 = -9.0
-6
Given: 3.0x + 9.0 = -9.0 | Subtract 9.0 β†’ 3.0x = -18.0 | Divide by 3.0 β†’ x = -6.0
5.0x + -10.0 = -8.0
0.4
Given: 5.0x + -10.0 = -8.0 | Subtract -10.0 β†’ 5.0x = 2.0 | Divide by 5.0 β†’ x = 0.4
4.0x + 7.0 = 7.0
0
Given: 4.0x + 7.0 = 7.0 | Subtract 7.0 β†’ 4.0x = 0.0 | Divide by 4.0 β†’ x = 0.0
2.0x + -2.0 = 3.0
2.5
Given: 2.0x + -2.0 = 3.0 | Subtract -2.0 β†’ 2.0x = 5.0 | Divide by 2.0 β†’ x = 2.5
8.0x + 6.0 = -4.0
-1.25
Given: 8.0x + 6.0 = -4.0 | Subtract 6.0 β†’ 8.0x = -10.0 | Divide by 8.0 β†’ x = -1.25
6.0x + -6.0 = 0.0
1
Given: 6.0x + -6.0 = 0.0 | Subtract -6.0 β†’ 6.0x = 6.0 | Divide by 6.0 β†’ x = 1.0
2.0x + 5.0 = 1.0
-2
Given: 2.0x + 5.0 = 1.0 | Subtract 5.0 β†’ 2.0x = -4.0 | Divide by 2.0 β†’ x = -2.0
3.0x + -7.0 = 6.0
4.333
Given: 3.0x + -7.0 = 6.0 | Subtract -7.0 β†’ 3.0x = 13.0 | Divide by 3.0 β†’ x = 4.333
2.0x + 5.0 = -6.0
-5.5
Given: 2.0x + 5.0 = -6.0 | Subtract 5.0 β†’ 2.0x = -11.0 | Divide by 2.0 β†’ x = -5.5
6.0x + 6.0 = 1.0
-0.833
Given: 6.0x + 6.0 = 1.0 | Subtract 6.0 β†’ 6.0x = -5.0 | Divide by 6.0 β†’ x = -0.833
8.0x + 3.0 = 5.0
0.25
Given: 8.0x + 3.0 = 5.0 | Subtract 3.0 β†’ 8.0x = 2.0 | Divide by 8.0 β†’ x = 0.25
3.0x + -3.0 = 3.0
2
Given: 3.0x + -3.0 = 3.0 | Subtract -3.0 β†’ 3.0x = 6.0 | Divide by 3.0 β†’ x = 2.0
2.0x + -7.0 = 0.0
3.5
Given: 2.0x + -7.0 = 0.0 | Subtract -7.0 β†’ 2.0x = 7.0 | Divide by 2.0 β†’ x = 3.5
8.0x + -3.0 = -5.0
-0.25
Given: 8.0x + -3.0 = -5.0 | Subtract -3.0 β†’ 8.0x = -2.0 | Divide by 8.0 β†’ x = -0.25
4.0x + -3.0 = 10.0
3.25
Given: 4.0x + -3.0 = 10.0 | Subtract -3.0 β†’ 4.0x = 13.0 | Divide by 4.0 β†’ x = 3.25