Problem
stringlengths
16
20
Solution
float64
-20
20
Reasoning
stringlengths
77
86
1.0x + 5.0 = -7.0
-12
Given: 1.0x + 5.0 = -7.0 | Subtract 5.0 β†’ 1.0x = -12.0 | Divide by 1.0 β†’ x = -12.0
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
3.0x + 8.0 = -3.0
-3.667
Given: 3.0x + 8.0 = -3.0 | Subtract 8.0 β†’ 3.0x = -11.0 | Divide by 3.0 β†’ x = -3.667
4.0x + 1.0 = -8.0
-2.25
Given: 4.0x + 1.0 = -8.0 | Subtract 1.0 β†’ 4.0x = -9.0 | Divide by 4.0 β†’ x = -2.25
4.0x + -1.0 = -5.0
-1
Given: 4.0x + -1.0 = -5.0 | Subtract -1.0 β†’ 4.0x = -4.0 | Divide by 4.0 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
5.0x + 9.0 = -6.0
-3
Given: 5.0x + 9.0 = -6.0 | Subtract 9.0 β†’ 5.0x = -15.0 | Divide by 5.0 β†’ x = -3.0
9.0x + -8.0 = 8.0
1.778
Given: 9.0x + -8.0 = 8.0 | Subtract -8.0 β†’ 9.0x = 16.0 | Divide by 9.0 β†’ x = 1.778
3.0x + -10.0 = 4.0
4.667
Given: 3.0x + -10.0 = 4.0 | Subtract -10.0 β†’ 3.0x = 14.0 | Divide by 3.0 β†’ x = 4.667
4.0x + 7.0 = 10.0
0.75
Given: 4.0x + 7.0 = 10.0 | Subtract 7.0 β†’ 4.0x = 3.0 | Divide by 4.0 β†’ x = 0.75
8.0x + -6.0 = 8.0
1.75
Given: 8.0x + -6.0 = 8.0 | Subtract -6.0 β†’ 8.0x = 14.0 | Divide by 8.0 β†’ x = 1.75
2.0x + -4.0 = -4.0
0
Given: 2.0x + -4.0 = -4.0 | Subtract -4.0 β†’ 2.0x = 0.0 | Divide by 2.0 β†’ x = 0.0
6.0x + 4.0 = 4.0
0
Given: 6.0x + 4.0 = 4.0 | Subtract 4.0 β†’ 6.0x = 0.0 | Divide by 6.0 β†’ x = 0.0
3.0x + -7.0 = 5.0
4
Given: 3.0x + -7.0 = 5.0 | Subtract -7.0 β†’ 3.0x = 12.0 | Divide by 3.0 β†’ x = 4.0
3.0x + 1.0 = 6.0
1.667
Given: 3.0x + 1.0 = 6.0 | Subtract 1.0 β†’ 3.0x = 5.0 | Divide by 3.0 β†’ x = 1.667
4.0x + -6.0 = 6.0
3
Given: 4.0x + -6.0 = 6.0 | Subtract -6.0 β†’ 4.0x = 12.0 | Divide by 4.0 β†’ x = 3.0
4.0x + -2.0 = -2.0
0
Given: 4.0x + -2.0 = -2.0 | Subtract -2.0 β†’ 4.0x = 0.0 | Divide by 4.0 β†’ x = 0.0
9.0x + -4.0 = 10.0
1.556
Given: 9.0x + -4.0 = 10.0 | Subtract -4.0 β†’ 9.0x = 14.0 | Divide by 9.0 β†’ x = 1.556
5.0x + -3.0 = -6.0
-0.6
Given: 5.0x + -3.0 = -6.0 | Subtract -3.0 β†’ 5.0x = -3.0 | Divide by 5.0 β†’ x = -0.6
6.0x + -8.0 = -4.0
0.667
Given: 6.0x + -8.0 = -4.0 | Subtract -8.0 β†’ 6.0x = 4.0 | Divide by 6.0 β†’ x = 0.667
6.0x + 5.0 = 7.0
0.333
Given: 6.0x + 5.0 = 7.0 | Subtract 5.0 β†’ 6.0x = 2.0 | Divide by 6.0 β†’ x = 0.333
1.0x + 4.0 = 9.0
5
Given: 1.0x + 4.0 = 9.0 | Subtract 4.0 β†’ 1.0x = 5.0 | Divide by 1.0 β†’ x = 5.0
2.0x + -9.0 = 9.0
9
Given: 2.0x + -9.0 = 9.0 | Subtract -9.0 β†’ 2.0x = 18.0 | Divide by 2.0 β†’ x = 9.0
1.0x + 9.0 = -2.0
-11
Given: 1.0x + 9.0 = -2.0 | Subtract 9.0 β†’ 1.0x = -11.0 | Divide by 1.0 β†’ x = -11.0
7.0x + -3.0 = 4.0
1
Given: 7.0x + -3.0 = 4.0 | Subtract -3.0 β†’ 7.0x = 7.0 | Divide by 7.0 β†’ x = 1.0
1.0x + 1.0 = 9.0
8
Given: 1.0x + 1.0 = 9.0 | Subtract 1.0 β†’ 1.0x = 8.0 | Divide by 1.0 β†’ x = 8.0
4.0x + 1.0 = -7.0
-2
Given: 4.0x + 1.0 = -7.0 | Subtract 1.0 β†’ 4.0x = -8.0 | Divide by 4.0 β†’ x = -2.0
7.0x + 5.0 = -7.0
-1.714
Given: 7.0x + 5.0 = -7.0 | Subtract 5.0 β†’ 7.0x = -12.0 | Divide by 7.0 β†’ x = -1.714
9.0x + 6.0 = 2.0
-0.444
Given: 9.0x + 6.0 = 2.0 | Subtract 6.0 β†’ 9.0x = -4.0 | Divide by 9.0 β†’ x = -0.444
4.0x + 4.0 = 10.0
1.5
Given: 4.0x + 4.0 = 10.0 | Subtract 4.0 β†’ 4.0x = 6.0 | Divide by 4.0 β†’ x = 1.5
2.0x + -8.0 = 0.0
4
Given: 2.0x + -8.0 = 0.0 | Subtract -8.0 β†’ 2.0x = 8.0 | Divide by 2.0 β†’ x = 4.0
8.0x + -3.0 = 1.0
0.5
Given: 8.0x + -3.0 = 1.0 | Subtract -3.0 β†’ 8.0x = 4.0 | Divide by 8.0 β†’ x = 0.5
8.0x + -1.0 = 5.0
0.75
Given: 8.0x + -1.0 = 5.0 | Subtract -1.0 β†’ 8.0x = 6.0 | Divide by 8.0 β†’ x = 0.75
9.0x + -5.0 = -7.0
-0.222
Given: 9.0x + -5.0 = -7.0 | Subtract -5.0 β†’ 9.0x = -2.0 | Divide by 9.0 β†’ x = -0.222
6.0x + 9.0 = -9.0
-3
Given: 6.0x + 9.0 = -9.0 | Subtract 9.0 β†’ 6.0x = -18.0 | Divide by 6.0 β†’ x = -3.0
1.0x + 3.0 = -1.0
-4
Given: 1.0x + 3.0 = -1.0 | Subtract 3.0 β†’ 1.0x = -4.0 | Divide by 1.0 β†’ x = -4.0
9.0x + 0.0 = -3.0
-0.333
Given: 9.0x + 0.0 = -3.0 | Subtract 0.0 β†’ 9.0x = -3.0 | Divide by 9.0 β†’ x = -0.333
6.0x + 6.0 = -2.0
-1.333
Given: 6.0x + 6.0 = -2.0 | Subtract 6.0 β†’ 6.0x = -8.0 | Divide by 6.0 β†’ x = -1.333
6.0x + -9.0 = 6.0
2.5
Given: 6.0x + -9.0 = 6.0 | Subtract -9.0 β†’ 6.0x = 15.0 | Divide by 6.0 β†’ x = 2.5
3.0x + -10.0 = -4.0
2
Given: 3.0x + -10.0 = -4.0 | Subtract -10.0 β†’ 3.0x = 6.0 | Divide by 3.0 β†’ x = 2.0
8.0x + 8.0 = -5.0
-1.625
Given: 8.0x + 8.0 = -5.0 | Subtract 8.0 β†’ 8.0x = -13.0 | Divide by 8.0 β†’ x = -1.625
4.0x + 8.0 = -9.0
-4.25
Given: 4.0x + 8.0 = -9.0 | Subtract 8.0 β†’ 4.0x = -17.0 | Divide by 4.0 β†’ x = -4.25
4.0x + -2.0 = 5.0
1.75
Given: 4.0x + -2.0 = 5.0 | Subtract -2.0 β†’ 4.0x = 7.0 | Divide by 4.0 β†’ x = 1.75
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
9.0x + -6.0 = -2.0
0.444
Given: 9.0x + -6.0 = -2.0 | Subtract -6.0 β†’ 9.0x = 4.0 | Divide by 9.0 β†’ x = 0.444
1.0x + 10.0 = 6.0
-4
Given: 1.0x + 10.0 = 6.0 | Subtract 10.0 β†’ 1.0x = -4.0 | Divide by 1.0 β†’ x = -4.0
8.0x + 0.0 = 10.0
1.25
Given: 8.0x + 0.0 = 10.0 | Subtract 0.0 β†’ 8.0x = 10.0 | Divide by 8.0 β†’ x = 1.25
5.0x + -2.0 = 5.0
1.4
Given: 5.0x + -2.0 = 5.0 | Subtract -2.0 β†’ 5.0x = 7.0 | Divide by 5.0 β†’ x = 1.4
5.0x + -4.0 = 5.0
1.8
Given: 5.0x + -4.0 = 5.0 | Subtract -4.0 β†’ 5.0x = 9.0 | Divide by 5.0 β†’ x = 1.8
1.0x + 5.0 = -3.0
-8
Given: 1.0x + 5.0 = -3.0 | Subtract 5.0 β†’ 1.0x = -8.0 | Divide by 1.0 β†’ x = -8.0
2.0x + 3.0 = 2.0
-0.5
Given: 2.0x + 3.0 = 2.0 | Subtract 3.0 β†’ 2.0x = -1.0 | Divide by 2.0 β†’ x = -0.5
3.0x + 6.0 = 4.0
-0.667
Given: 3.0x + 6.0 = 4.0 | Subtract 6.0 β†’ 3.0x = -2.0 | Divide by 3.0 β†’ x = -0.667
8.0x + 2.0 = -8.0
-1.25
Given: 8.0x + 2.0 = -8.0 | Subtract 2.0 β†’ 8.0x = -10.0 | Divide by 8.0 β†’ x = -1.25
4.0x + 3.0 = 0.0
-0.75
Given: 4.0x + 3.0 = 0.0 | Subtract 3.0 β†’ 4.0x = -3.0 | Divide by 4.0 β†’ x = -0.75
9.0x + 0.0 = 8.0
0.889
Given: 9.0x + 0.0 = 8.0 | Subtract 0.0 β†’ 9.0x = 8.0 | Divide by 9.0 β†’ x = 0.889
2.0x + 0.0 = -3.0
-1.5
Given: 2.0x + 0.0 = -3.0 | Subtract 0.0 β†’ 2.0x = -3.0 | Divide by 2.0 β†’ x = -1.5
2.0x + 7.0 = 4.0
-1.5
Given: 2.0x + 7.0 = 4.0 | Subtract 7.0 β†’ 2.0x = -3.0 | Divide by 2.0 β†’ x = -1.5
7.0x + 1.0 = 8.0
1
Given: 7.0x + 1.0 = 8.0 | Subtract 1.0 β†’ 7.0x = 7.0 | Divide by 7.0 β†’ x = 1.0
3.0x + -10.0 = 5.0
5
Given: 3.0x + -10.0 = 5.0 | Subtract -10.0 β†’ 3.0x = 15.0 | Divide by 3.0 β†’ x = 5.0
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
8.0x + 8.0 = 0.0
-1
Given: 8.0x + 8.0 = 0.0 | Subtract 8.0 β†’ 8.0x = -8.0 | Divide by 8.0 β†’ x = -1.0
9.0x + -10.0 = 6.0
1.778
Given: 9.0x + -10.0 = 6.0 | Subtract -10.0 β†’ 9.0x = 16.0 | Divide by 9.0 β†’ x = 1.778
3.0x + -9.0 = -8.0
0.333
Given: 3.0x + -9.0 = -8.0 | Subtract -9.0 β†’ 3.0x = 1.0 | Divide by 3.0 β†’ x = 0.333
9.0x + -3.0 = 8.0
1.222
Given: 9.0x + -3.0 = 8.0 | Subtract -3.0 β†’ 9.0x = 11.0 | Divide by 9.0 β†’ x = 1.222
5.0x + -10.0 = 3.0
2.6
Given: 5.0x + -10.0 = 3.0 | Subtract -10.0 β†’ 5.0x = 13.0 | Divide by 5.0 β†’ x = 2.6
4.0x + 0.0 = -3.0
-0.75
Given: 4.0x + 0.0 = -3.0 | Subtract 0.0 β†’ 4.0x = -3.0 | Divide by 4.0 β†’ x = -0.75
7.0x + 2.0 = 9.0
1
Given: 7.0x + 2.0 = 9.0 | Subtract 2.0 β†’ 7.0x = 7.0 | Divide by 7.0 β†’ x = 1.0
8.0x + -9.0 = 2.0
1.375
Given: 8.0x + -9.0 = 2.0 | Subtract -9.0 β†’ 8.0x = 11.0 | Divide by 8.0 β†’ x = 1.375
4.0x + -10.0 = -1.0
2.25
Given: 4.0x + -10.0 = -1.0 | Subtract -10.0 β†’ 4.0x = 9.0 | Divide by 4.0 β†’ x = 2.25
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
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
6.0x + -5.0 = -8.0
-0.5
Given: 6.0x + -5.0 = -8.0 | Subtract -5.0 β†’ 6.0x = -3.0 | Divide by 6.0 β†’ x = -0.5
7.0x + 5.0 = -6.0
-1.571
Given: 7.0x + 5.0 = -6.0 | Subtract 5.0 β†’ 7.0x = -11.0 | Divide by 7.0 β†’ x = -1.571
8.0x + 0.0 = -6.0
-0.75
Given: 8.0x + 0.0 = -6.0 | Subtract 0.0 β†’ 8.0x = -6.0 | Divide by 8.0 β†’ x = -0.75
2.0x + -10.0 = -1.0
4.5
Given: 2.0x + -10.0 = -1.0 | Subtract -10.0 β†’ 2.0x = 9.0 | Divide by 2.0 β†’ x = 4.5
6.0x + 8.0 = -5.0
-2.167
Given: 6.0x + 8.0 = -5.0 | Subtract 8.0 β†’ 6.0x = -13.0 | Divide by 6.0 β†’ x = -2.167
6.0x + 10.0 = 10.0
0
Given: 6.0x + 10.0 = 10.0 | Subtract 10.0 β†’ 6.0x = 0.0 | Divide by 6.0 β†’ x = 0.0
3.0x + 9.0 = -2.0
-3.667
Given: 3.0x + 9.0 = -2.0 | Subtract 9.0 β†’ 3.0x = -11.0 | Divide by 3.0 β†’ x = -3.667
3.0x + -8.0 = -4.0
1.333
Given: 3.0x + -8.0 = -4.0 | Subtract -8.0 β†’ 3.0x = 4.0 | Divide by 3.0 β†’ x = 1.333
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 + 0.0 = -2.0
-0.4
Given: 5.0x + 0.0 = -2.0 | Subtract 0.0 β†’ 5.0x = -2.0 | Divide by 5.0 β†’ x = -0.4
8.0x + -4.0 = -3.0
0.125
Given: 8.0x + -4.0 = -3.0 | Subtract -4.0 β†’ 8.0x = 1.0 | Divide by 8.0 β†’ x = 0.125
9.0x + 6.0 = -7.0
-1.444
Given: 9.0x + 6.0 = -7.0 | Subtract 6.0 β†’ 9.0x = -13.0 | Divide by 9.0 β†’ x = -1.444
8.0x + -7.0 = 2.0
1.125
Given: 8.0x + -7.0 = 2.0 | Subtract -7.0 β†’ 8.0x = 9.0 | Divide by 8.0 β†’ x = 1.125
2.0x + 9.0 = 1.0
-4
Given: 2.0x + 9.0 = 1.0 | Subtract 9.0 β†’ 2.0x = -8.0 | Divide by 2.0 β†’ x = -4.0
6.0x + -1.0 = -5.0
-0.667
Given: 6.0x + -1.0 = -5.0 | Subtract -1.0 β†’ 6.0x = -4.0 | Divide by 6.0 β†’ x = -0.667
6.0x + 10.0 = 1.0
-1.5
Given: 6.0x + 10.0 = 1.0 | Subtract 10.0 β†’ 6.0x = -9.0 | Divide by 6.0 β†’ x = -1.5
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 + 9.0 = 6.0
-1.5
Given: 2.0x + 9.0 = 6.0 | Subtract 9.0 β†’ 2.0x = -3.0 | Divide by 2.0 β†’ x = -1.5
1.0x + 3.0 = -5.0
-8
Given: 1.0x + 3.0 = -5.0 | Subtract 3.0 β†’ 1.0x = -8.0 | Divide by 1.0 β†’ x = -8.0
4.0x + 0.0 = 5.0
1.25
Given: 4.0x + 0.0 = 5.0 | Subtract 0.0 β†’ 4.0x = 5.0 | Divide by 4.0 β†’ x = 1.25
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
6.0x + -4.0 = 2.0
1
Given: 6.0x + -4.0 = 2.0 | Subtract -4.0 β†’ 6.0x = 6.0 | Divide by 6.0 β†’ x = 1.0
5.0x + 3.0 = 5.0
0.4
Given: 5.0x + 3.0 = 5.0 | Subtract 3.0 β†’ 5.0x = 2.0 | Divide by 5.0 β†’ x = 0.4
2.0x + 3.0 = 7.0
2
Given: 2.0x + 3.0 = 7.0 | Subtract 3.0 β†’ 2.0x = 4.0 | Divide by 2.0 β†’ x = 2.0
8.0x + 1.0 = -1.0
-0.25
Given: 8.0x + 1.0 = -1.0 | Subtract 1.0 β†’ 8.0x = -2.0 | Divide by 8.0 β†’ x = -0.25
4.0x + 10.0 = 0.0
-2.5
Given: 4.0x + 10.0 = 0.0 | Subtract 10.0 β†’ 4.0x = -10.0 | Divide by 4.0 β†’ x = -2.5
3.0x + 4.0 = 7.0
1
Given: 3.0x + 4.0 = 7.0 | Subtract 4.0 β†’ 3.0x = 3.0 | Divide by 3.0 β†’ x = 1.0
6.0x + -10.0 = 7.0
2.833
Given: 6.0x + -10.0 = 7.0 | Subtract -10.0 β†’ 6.0x = 17.0 | Divide by 6.0 β†’ x = 2.833
5.0x + 3.0 = -6.0
-1.8
Given: 5.0x + 3.0 = -6.0 | Subtract 3.0 β†’ 5.0x = -9.0 | Divide by 5.0 β†’ x = -1.8