Problem
stringlengths
16
20
Solution
float64
-20
20
Reasoning
stringlengths
77
86
2.0x + 1.0 = 6.0
2.5
Given: 2.0x + 1.0 = 6.0 | Subtract 1.0 β†’ 2.0x = 5.0 | Divide by 2.0 β†’ x = 2.5
5.0x + -3.0 = -7.0
-0.8
Given: 5.0x + -3.0 = -7.0 | Subtract -3.0 β†’ 5.0x = -4.0 | Divide by 5.0 β†’ x = -0.8
4.0x + -4.0 = 10.0
3.5
Given: 4.0x + -4.0 = 10.0 | Subtract -4.0 β†’ 4.0x = 14.0 | Divide by 4.0 β†’ x = 3.5
6.0x + -6.0 = -5.0
0.167
Given: 6.0x + -6.0 = -5.0 | Subtract -6.0 β†’ 6.0x = 1.0 | Divide by 6.0 β†’ x = 0.167
7.0x + 3.0 = 6.0
0.429
Given: 7.0x + 3.0 = 6.0 | Subtract 3.0 β†’ 7.0x = 3.0 | Divide by 7.0 β†’ x = 0.429
2.0x + -7.0 = -1.0
3
Given: 2.0x + -7.0 = -1.0 | Subtract -7.0 β†’ 2.0x = 6.0 | Divide by 2.0 β†’ x = 3.0
9.0x + -4.0 = -3.0
0.111
Given: 9.0x + -4.0 = -3.0 | Subtract -4.0 β†’ 9.0x = 1.0 | Divide by 9.0 β†’ x = 0.111
5.0x + -8.0 = 4.0
2.4
Given: 5.0x + -8.0 = 4.0 | Subtract -8.0 β†’ 5.0x = 12.0 | Divide by 5.0 β†’ x = 2.4
1.0x + 3.0 = -9.0
-12
Given: 1.0x + 3.0 = -9.0 | Subtract 3.0 β†’ 1.0x = -12.0 | Divide by 1.0 β†’ x = -12.0
9.0x + 5.0 = 2.0
-0.333
Given: 9.0x + 5.0 = 2.0 | Subtract 5.0 β†’ 9.0x = -3.0 | Divide by 9.0 β†’ x = -0.333
8.0x + -10.0 = -4.0
0.75
Given: 8.0x + -10.0 = -4.0 | Subtract -10.0 β†’ 8.0x = 6.0 | Divide by 8.0 β†’ x = 0.75
5.0x + -9.0 = -5.0
0.8
Given: 5.0x + -9.0 = -5.0 | Subtract -9.0 β†’ 5.0x = 4.0 | Divide by 5.0 β†’ x = 0.8
1.0x + 4.0 = 5.0
1
Given: 1.0x + 4.0 = 5.0 | Subtract 4.0 β†’ 1.0x = 1.0 | Divide by 1.0 β†’ x = 1.0
5.0x + 4.0 = -9.0
-2.6
Given: 5.0x + 4.0 = -9.0 | Subtract 4.0 β†’ 5.0x = -13.0 | Divide by 5.0 β†’ x = -2.6
8.0x + -2.0 = 6.0
1
Given: 8.0x + -2.0 = 6.0 | Subtract -2.0 β†’ 8.0x = 8.0 | Divide by 8.0 β†’ x = 1.0
1.0x + -4.0 = -8.0
-4
Given: 1.0x + -4.0 = -8.0 | Subtract -4.0 β†’ 1.0x = -4.0 | Divide by 1.0 β†’ x = -4.0
6.0x + 7.0 = 2.0
-0.833
Given: 6.0x + 7.0 = 2.0 | Subtract 7.0 β†’ 6.0x = -5.0 | Divide by 6.0 β†’ x = -0.833
1.0x + 8.0 = 4.0
-4
Given: 1.0x + 8.0 = 4.0 | Subtract 8.0 β†’ 1.0x = -4.0 | Divide by 1.0 β†’ x = -4.0
4.0x + 10.0 = 5.0
-1.25
Given: 4.0x + 10.0 = 5.0 | Subtract 10.0 β†’ 4.0x = -5.0 | Divide by 4.0 β†’ x = -1.25
2.0x + 5.0 = 6.0
0.5
Given: 2.0x + 5.0 = 6.0 | Subtract 5.0 β†’ 2.0x = 1.0 | Divide by 2.0 β†’ x = 0.5
9.0x + -1.0 = -8.0
-0.778
Given: 9.0x + -1.0 = -8.0 | Subtract -1.0 β†’ 9.0x = -7.0 | Divide by 9.0 β†’ x = -0.778
1.0x + -8.0 = -5.0
3
Given: 1.0x + -8.0 = -5.0 | Subtract -8.0 β†’ 1.0x = 3.0 | Divide by 1.0 β†’ x = 3.0
9.0x + 8.0 = 5.0
-0.333
Given: 9.0x + 8.0 = 5.0 | Subtract 8.0 β†’ 9.0x = -3.0 | Divide by 9.0 β†’ x = -0.333
9.0x + -3.0 = 2.0
0.556
Given: 9.0x + -3.0 = 2.0 | Subtract -3.0 β†’ 9.0x = 5.0 | Divide by 9.0 β†’ x = 0.556
8.0x + -3.0 = 8.0
1.375
Given: 8.0x + -3.0 = 8.0 | Subtract -3.0 β†’ 8.0x = 11.0 | Divide by 8.0 β†’ x = 1.375
2.0x + -9.0 = -8.0
0.5
Given: 2.0x + -9.0 = -8.0 | Subtract -9.0 β†’ 2.0x = 1.0 | Divide by 2.0 β†’ x = 0.5
2.0x + -4.0 = 7.0
5.5
Given: 2.0x + -4.0 = 7.0 | Subtract -4.0 β†’ 2.0x = 11.0 | Divide by 2.0 β†’ x = 5.5
2.0x + 8.0 = 2.0
-3
Given: 2.0x + 8.0 = 2.0 | Subtract 8.0 β†’ 2.0x = -6.0 | Divide by 2.0 β†’ x = -3.0
6.0x + 3.0 = -5.0
-1.333
Given: 6.0x + 3.0 = -5.0 | Subtract 3.0 β†’ 6.0x = -8.0 | Divide by 6.0 β†’ x = -1.333
8.0x + -10.0 = 8.0
2.25
Given: 8.0x + -10.0 = 8.0 | Subtract -10.0 β†’ 8.0x = 18.0 | Divide by 8.0 β†’ x = 2.25
7.0x + 5.0 = -2.0
-1
Given: 7.0x + 5.0 = -2.0 | Subtract 5.0 β†’ 7.0x = -7.0 | Divide by 7.0 β†’ x = -1.0
5.0x + 10.0 = -7.0
-3.4
Given: 5.0x + 10.0 = -7.0 | Subtract 10.0 β†’ 5.0x = -17.0 | Divide by 5.0 β†’ x = -3.4
4.0x + -6.0 = 9.0
3.75
Given: 4.0x + -6.0 = 9.0 | Subtract -6.0 β†’ 4.0x = 15.0 | Divide by 4.0 β†’ x = 3.75
8.0x + 6.0 = -3.0
-1.125
Given: 8.0x + 6.0 = -3.0 | Subtract 6.0 β†’ 8.0x = -9.0 | Divide by 8.0 β†’ x = -1.125
4.0x + 3.0 = 1.0
-0.5
Given: 4.0x + 3.0 = 1.0 | Subtract 3.0 β†’ 4.0x = -2.0 | Divide by 4.0 β†’ x = -0.5
6.0x + 3.0 = -2.0
-0.833
Given: 6.0x + 3.0 = -2.0 | Subtract 3.0 β†’ 6.0x = -5.0 | Divide by 6.0 β†’ x = -0.833
4.0x + -2.0 = 6.0
2
Given: 4.0x + -2.0 = 6.0 | Subtract -2.0 β†’ 4.0x = 8.0 | Divide by 4.0 β†’ x = 2.0
7.0x + -6.0 = 3.0
1.286
Given: 7.0x + -6.0 = 3.0 | Subtract -6.0 β†’ 7.0x = 9.0 | Divide by 7.0 β†’ x = 1.286
1.0x + -7.0 = 3.0
10
Given: 1.0x + -7.0 = 3.0 | Subtract -7.0 β†’ 1.0x = 10.0 | Divide by 1.0 β†’ x = 10.0
5.0x + 4.0 = -9.0
-2.6
Given: 5.0x + 4.0 = -9.0 | Subtract 4.0 β†’ 5.0x = -13.0 | Divide by 5.0 β†’ x = -2.6
7.0x + 4.0 = -5.0
-1.286
Given: 7.0x + 4.0 = -5.0 | Subtract 4.0 β†’ 7.0x = -9.0 | Divide by 7.0 β†’ x = -1.286
5.0x + -2.0 = 9.0
2.2
Given: 5.0x + -2.0 = 9.0 | Subtract -2.0 β†’ 5.0x = 11.0 | Divide by 5.0 β†’ x = 2.2
2.0x + 9.0 = -8.0
-8.5
Given: 2.0x + 9.0 = -8.0 | Subtract 9.0 β†’ 2.0x = -17.0 | Divide by 2.0 β†’ x = -8.5
5.0x + -7.0 = 3.0
2
Given: 5.0x + -7.0 = 3.0 | Subtract -7.0 β†’ 5.0x = 10.0 | Divide by 5.0 β†’ x = 2.0
8.0x + -10.0 = 8.0
2.25
Given: 8.0x + -10.0 = 8.0 | Subtract -10.0 β†’ 8.0x = 18.0 | Divide by 8.0 β†’ x = 2.25
9.0x + 0.0 = -9.0
-1
Given: 9.0x + 0.0 = -9.0 | Subtract 0.0 β†’ 9.0x = -9.0 | Divide by 9.0 β†’ x = -1.0
7.0x + 5.0 = 2.0
-0.429
Given: 7.0x + 5.0 = 2.0 | Subtract 5.0 β†’ 7.0x = -3.0 | Divide by 7.0 β†’ x = -0.429
3.0x + 1.0 = -4.0
-1.667
Given: 3.0x + 1.0 = -4.0 | Subtract 1.0 β†’ 3.0x = -5.0 | Divide by 3.0 β†’ x = -1.667
6.0x + 3.0 = -8.0
-1.833
Given: 6.0x + 3.0 = -8.0 | Subtract 3.0 β†’ 6.0x = -11.0 | Divide by 6.0 β†’ x = -1.833
4.0x + -8.0 = 5.0
3.25
Given: 4.0x + -8.0 = 5.0 | Subtract -8.0 β†’ 4.0x = 13.0 | Divide by 4.0 β†’ x = 3.25
7.0x + -8.0 = 5.0
1.857
Given: 7.0x + -8.0 = 5.0 | Subtract -8.0 β†’ 7.0x = 13.0 | Divide by 7.0 β†’ x = 1.857
7.0x + 0.0 = 7.0
1
Given: 7.0x + 0.0 = 7.0 | Subtract 0.0 β†’ 7.0x = 7.0 | Divide by 7.0 β†’ x = 1.0
6.0x + -8.0 = 3.0
1.833
Given: 6.0x + -8.0 = 3.0 | Subtract -8.0 β†’ 6.0x = 11.0 | Divide by 6.0 β†’ x = 1.833
6.0x + 6.0 = 3.0
-0.5
Given: 6.0x + 6.0 = 3.0 | Subtract 6.0 β†’ 6.0x = -3.0 | Divide by 6.0 β†’ x = -0.5
4.0x + -10.0 = 6.0
4
Given: 4.0x + -10.0 = 6.0 | Subtract -10.0 β†’ 4.0x = 16.0 | Divide by 4.0 β†’ x = 4.0
9.0x + -8.0 = 3.0
1.222
Given: 9.0x + -8.0 = 3.0 | Subtract -8.0 β†’ 9.0x = 11.0 | Divide by 9.0 β†’ x = 1.222
3.0x + 7.0 = 8.0
0.333
Given: 3.0x + 7.0 = 8.0 | Subtract 7.0 β†’ 3.0x = 1.0 | Divide by 3.0 β†’ x = 0.333
8.0x + -10.0 = 3.0
1.625
Given: 8.0x + -10.0 = 3.0 | Subtract -10.0 β†’ 8.0x = 13.0 | Divide by 8.0 β†’ x = 1.625
2.0x + 6.0 = -5.0
-5.5
Given: 2.0x + 6.0 = -5.0 | Subtract 6.0 β†’ 2.0x = -11.0 | Divide by 2.0 β†’ x = -5.5
2.0x + -1.0 = -7.0
-3
Given: 2.0x + -1.0 = -7.0 | Subtract -1.0 β†’ 2.0x = -6.0 | Divide by 2.0 β†’ x = -3.0
4.0x + 9.0 = -9.0
-4.5
Given: 4.0x + 9.0 = -9.0 | Subtract 9.0 β†’ 4.0x = -18.0 | Divide by 4.0 β†’ x = -4.5
4.0x + -2.0 = 3.0
1.25
Given: 4.0x + -2.0 = 3.0 | Subtract -2.0 β†’ 4.0x = 5.0 | Divide by 4.0 β†’ x = 1.25
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
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
7.0x + -9.0 = -6.0
0.429
Given: 7.0x + -9.0 = -6.0 | Subtract -9.0 β†’ 7.0x = 3.0 | Divide by 7.0 β†’ x = 0.429
6.0x + -2.0 = 5.0
1.167
Given: 6.0x + -2.0 = 5.0 | Subtract -2.0 β†’ 6.0x = 7.0 | Divide by 6.0 β†’ x = 1.167
9.0x + 1.0 = 6.0
0.556
Given: 9.0x + 1.0 = 6.0 | Subtract 1.0 β†’ 9.0x = 5.0 | Divide by 9.0 β†’ x = 0.556
3.0x + -8.0 = 2.0
3.333
Given: 3.0x + -8.0 = 2.0 | Subtract -8.0 β†’ 3.0x = 10.0 | Divide by 3.0 β†’ x = 3.333
6.0x + -8.0 = -9.0
-0.167
Given: 6.0x + -8.0 = -9.0 | Subtract -8.0 β†’ 6.0x = -1.0 | Divide by 6.0 β†’ x = -0.167
3.0x + 9.0 = -4.0
-4.333
Given: 3.0x + 9.0 = -4.0 | Subtract 9.0 β†’ 3.0x = -13.0 | Divide by 3.0 β†’ x = -4.333
2.0x + -7.0 = 6.0
6.5
Given: 2.0x + -7.0 = 6.0 | Subtract -7.0 β†’ 2.0x = 13.0 | Divide by 2.0 β†’ x = 6.5
3.0x + 1.0 = 7.0
2
Given: 3.0x + 1.0 = 7.0 | Subtract 1.0 β†’ 3.0x = 6.0 | Divide by 3.0 β†’ x = 2.0
9.0x + 1.0 = -9.0
-1.111
Given: 9.0x + 1.0 = -9.0 | Subtract 1.0 β†’ 9.0x = -10.0 | Divide by 9.0 β†’ x = -1.111
5.0x + -5.0 = -3.0
0.4
Given: 5.0x + -5.0 = -3.0 | Subtract -5.0 β†’ 5.0x = 2.0 | Divide by 5.0 β†’ x = 0.4
7.0x + 7.0 = 0.0
-1
Given: 7.0x + 7.0 = 0.0 | Subtract 7.0 β†’ 7.0x = -7.0 | Divide by 7.0 β†’ x = -1.0
8.0x + 3.0 = 0.0
-0.375
Given: 8.0x + 3.0 = 0.0 | Subtract 3.0 β†’ 8.0x = -3.0 | Divide by 8.0 β†’ x = -0.375
8.0x + 5.0 = 5.0
0
Given: 8.0x + 5.0 = 5.0 | Subtract 5.0 β†’ 8.0x = 0.0 | Divide by 8.0 β†’ x = 0.0
3.0x + 0.0 = 6.0
2
Given: 3.0x + 0.0 = 6.0 | Subtract 0.0 β†’ 3.0x = 6.0 | Divide by 3.0 β†’ x = 2.0
9.0x + 3.0 = 0.0
-0.333
Given: 9.0x + 3.0 = 0.0 | Subtract 3.0 β†’ 9.0x = -3.0 | Divide by 9.0 β†’ x = -0.333
7.0x + -5.0 = -1.0
0.571
Given: 7.0x + -5.0 = -1.0 | Subtract -5.0 β†’ 7.0x = 4.0 | Divide by 7.0 β†’ x = 0.571
7.0x + -10.0 = 0.0
1.429
Given: 7.0x + -10.0 = 0.0 | Subtract -10.0 β†’ 7.0x = 10.0 | Divide by 7.0 β†’ x = 1.429
1.0x + 7.0 = 3.0
-4
Given: 1.0x + 7.0 = 3.0 | Subtract 7.0 β†’ 1.0x = -4.0 | Divide by 1.0 β†’ x = -4.0
9.0x + 0.0 = 6.0
0.667
Given: 9.0x + 0.0 = 6.0 | Subtract 0.0 β†’ 9.0x = 6.0 | Divide by 9.0 β†’ x = 0.667
7.0x + -3.0 = -4.0
-0.143
Given: 7.0x + -3.0 = -4.0 | Subtract -3.0 β†’ 7.0x = -1.0 | Divide by 7.0 β†’ x = -0.143
6.0x + -5.0 = 0.0
0.833
Given: 6.0x + -5.0 = 0.0 | Subtract -5.0 β†’ 6.0x = 5.0 | Divide by 6.0 β†’ x = 0.833
9.0x + 7.0 = 7.0
0
Given: 9.0x + 7.0 = 7.0 | Subtract 7.0 β†’ 9.0x = 0.0 | Divide by 9.0 β†’ x = 0.0
6.0x + -9.0 = -10.0
-0.167
Given: 6.0x + -9.0 = -10.0 | Subtract -9.0 β†’ 6.0x = -1.0 | Divide by 6.0 β†’ x = -0.167
2.0x + 9.0 = -2.0
-5.5
Given: 2.0x + 9.0 = -2.0 | Subtract 9.0 β†’ 2.0x = -11.0 | Divide by 2.0 β†’ x = -5.5
4.0x + -3.0 = 9.0
3
Given: 4.0x + -3.0 = 9.0 | Subtract -3.0 β†’ 4.0x = 12.0 | Divide by 4.0 β†’ x = 3.0
3.0x + -1.0 = 4.0
1.667
Given: 3.0x + -1.0 = 4.0 | Subtract -1.0 β†’ 3.0x = 5.0 | Divide by 3.0 β†’ x = 1.667
4.0x + 5.0 = 0.0
-1.25
Given: 4.0x + 5.0 = 0.0 | Subtract 5.0 β†’ 4.0x = -5.0 | Divide by 4.0 β†’ x = -1.25
8.0x + 10.0 = -4.0
-1.75
Given: 8.0x + 10.0 = -4.0 | Subtract 10.0 β†’ 8.0x = -14.0 | Divide by 8.0 β†’ x = -1.75
2.0x + -6.0 = 1.0
3.5
Given: 2.0x + -6.0 = 1.0 | Subtract -6.0 β†’ 2.0x = 7.0 | Divide by 2.0 β†’ x = 3.5
4.0x + 10.0 = -3.0
-3.25
Given: 4.0x + 10.0 = -3.0 | Subtract 10.0 β†’ 4.0x = -13.0 | Divide by 4.0 β†’ x = -3.25
4.0x + 6.0 = 6.0
0
Given: 4.0x + 6.0 = 6.0 | Subtract 6.0 β†’ 4.0x = 0.0 | Divide by 4.0 β†’ x = 0.0
1.0x + -9.0 = 8.0
17
Given: 1.0x + -9.0 = 8.0 | Subtract -9.0 β†’ 1.0x = 17.0 | Divide by 1.0 β†’ x = 17.0
1.0x + -10.0 = -9.0
1
Given: 1.0x + -10.0 = -9.0 | Subtract -10.0 β†’ 1.0x = 1.0 | Divide by 1.0 β†’ x = 1.0
4.0x + -10.0 = 6.0
4
Given: 4.0x + -10.0 = 6.0 | Subtract -10.0 β†’ 4.0x = 16.0 | Divide by 4.0 β†’ x = 4.0
3.0x + 1.0 = -1.0
-0.667
Given: 3.0x + 1.0 = -1.0 | Subtract 1.0 β†’ 3.0x = -2.0 | Divide by 3.0 β†’ x = -0.667
1.0x + 10.0 = -10.0
-20
Given: 1.0x + 10.0 = -10.0 | Subtract 10.0 β†’ 1.0x = -20.0 | Divide by 1.0 β†’ x = -20.0