Problem
stringlengths
16
20
Solution
float64
-20
20
Reasoning
stringlengths
77
86
5.0x + 10.0 = 5.0
-1
Given: 5.0x + 10.0 = 5.0 | Subtract 10.0 β†’ 5.0x = -5.0 | Divide by 5.0 β†’ x = -1.0
1.0x + 0.0 = -3.0
-3
Given: 1.0x + 0.0 = -3.0 | Subtract 0.0 β†’ 1.0x = -3.0 | Divide by 1.0 β†’ x = -3.0
3.0x + 7.0 = 3.0
-1.333
Given: 3.0x + 7.0 = 3.0 | Subtract 7.0 β†’ 3.0x = -4.0 | Divide by 3.0 β†’ x = -1.333
3.0x + -2.0 = 4.0
2
Given: 3.0x + -2.0 = 4.0 | Subtract -2.0 β†’ 3.0x = 6.0 | Divide by 3.0 β†’ x = 2.0
4.0x + -8.0 = 2.0
2.5
Given: 4.0x + -8.0 = 2.0 | Subtract -8.0 β†’ 4.0x = 10.0 | Divide by 4.0 β†’ x = 2.5
6.0x + 0.0 = -8.0
-1.333
Given: 6.0x + 0.0 = -8.0 | Subtract 0.0 β†’ 6.0x = -8.0 | Divide by 6.0 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
9.0x + -10.0 = 10.0
2.222
Given: 9.0x + -10.0 = 10.0 | Subtract -10.0 β†’ 9.0x = 20.0 | Divide by 9.0 β†’ x = 2.222
4.0x + 10.0 = -7.0
-4.25
Given: 4.0x + 10.0 = -7.0 | Subtract 10.0 β†’ 4.0x = -17.0 | Divide by 4.0 β†’ x = -4.25
8.0x + 2.0 = -5.0
-0.875
Given: 8.0x + 2.0 = -5.0 | Subtract 2.0 β†’ 8.0x = -7.0 | Divide by 8.0 β†’ x = -0.875
2.0x + -1.0 = -2.0
-0.5
Given: 2.0x + -1.0 = -2.0 | Subtract -1.0 β†’ 2.0x = -1.0 | Divide by 2.0 β†’ x = -0.5
5.0x + 5.0 = 4.0
-0.2
Given: 5.0x + 5.0 = 4.0 | Subtract 5.0 β†’ 5.0x = -1.0 | Divide by 5.0 β†’ x = -0.2
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
8.0x + 1.0 = 5.0
0.5
Given: 8.0x + 1.0 = 5.0 | Subtract 1.0 β†’ 8.0x = 4.0 | Divide by 8.0 β†’ x = 0.5
5.0x + -7.0 = -3.0
0.8
Given: 5.0x + -7.0 = -3.0 | Subtract -7.0 β†’ 5.0x = 4.0 | Divide by 5.0 β†’ x = 0.8
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
7.0x + 6.0 = -2.0
-1.143
Given: 7.0x + 6.0 = -2.0 | Subtract 6.0 β†’ 7.0x = -8.0 | Divide by 7.0 β†’ x = -1.143
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
2.0x + -1.0 = 8.0
4.5
Given: 2.0x + -1.0 = 8.0 | Subtract -1.0 β†’ 2.0x = 9.0 | Divide by 2.0 β†’ x = 4.5
5.0x + -1.0 = 3.0
0.8
Given: 5.0x + -1.0 = 3.0 | Subtract -1.0 β†’ 5.0x = 4.0 | Divide by 5.0 β†’ x = 0.8
3.0x + -7.0 = -5.0
0.667
Given: 3.0x + -7.0 = -5.0 | Subtract -7.0 β†’ 3.0x = 2.0 | Divide by 3.0 β†’ x = 0.667
3.0x + 7.0 = -2.0
-3
Given: 3.0x + 7.0 = -2.0 | Subtract 7.0 β†’ 3.0x = -9.0 | Divide by 3.0 β†’ x = -3.0
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
7.0x + -5.0 = 3.0
1.143
Given: 7.0x + -5.0 = 3.0 | Subtract -5.0 β†’ 7.0x = 8.0 | Divide by 7.0 β†’ x = 1.143
7.0x + -4.0 = 4.0
1.143
Given: 7.0x + -4.0 = 4.0 | Subtract -4.0 β†’ 7.0x = 8.0 | Divide by 7.0 β†’ x = 1.143
7.0x + -6.0 = 9.0
2.143
Given: 7.0x + -6.0 = 9.0 | Subtract -6.0 β†’ 7.0x = 15.0 | Divide by 7.0 β†’ x = 2.143
3.0x + -7.0 = 1.0
2.667
Given: 3.0x + -7.0 = 1.0 | Subtract -7.0 β†’ 3.0x = 8.0 | Divide by 3.0 β†’ x = 2.667
6.0x + 5.0 = -9.0
-2.333
Given: 6.0x + 5.0 = -9.0 | Subtract 5.0 β†’ 6.0x = -14.0 | Divide by 6.0 β†’ x = -2.333
1.0x + -5.0 = -1.0
4
Given: 1.0x + -5.0 = -1.0 | Subtract -5.0 β†’ 1.0x = 4.0 | Divide by 1.0 β†’ x = 4.0
1.0x + -1.0 = 2.0
3
Given: 1.0x + -1.0 = 2.0 | Subtract -1.0 β†’ 1.0x = 3.0 | Divide by 1.0 β†’ x = 3.0
3.0x + -8.0 = 0.0
2.667
Given: 3.0x + -8.0 = 0.0 | Subtract -8.0 β†’ 3.0x = 8.0 | Divide by 3.0 β†’ x = 2.667
9.0x + 1.0 = -2.0
-0.333
Given: 9.0x + 1.0 = -2.0 | Subtract 1.0 β†’ 9.0x = -3.0 | Divide by 9.0 β†’ x = -0.333
2.0x + 9.0 = -7.0
-8
Given: 2.0x + 9.0 = -7.0 | Subtract 9.0 β†’ 2.0x = -16.0 | Divide by 2.0 β†’ x = -8.0
1.0x + 7.0 = 7.0
0
Given: 1.0x + 7.0 = 7.0 | Subtract 7.0 β†’ 1.0x = 0.0 | Divide by 1.0 β†’ x = 0.0
3.0x + -7.0 = 9.0
5.333
Given: 3.0x + -7.0 = 9.0 | Subtract -7.0 β†’ 3.0x = 16.0 | Divide by 3.0 β†’ x = 5.333
1.0x + 3.0 = 2.0
-1
Given: 1.0x + 3.0 = 2.0 | Subtract 3.0 β†’ 1.0x = -1.0 | Divide by 1.0 β†’ x = -1.0
2.0x + 5.0 = -5.0
-5
Given: 2.0x + 5.0 = -5.0 | Subtract 5.0 β†’ 2.0x = -10.0 | Divide by 2.0 β†’ x = -5.0
4.0x + 7.0 = 8.0
0.25
Given: 4.0x + 7.0 = 8.0 | Subtract 7.0 β†’ 4.0x = 1.0 | Divide by 4.0 β†’ x = 0.25
7.0x + -3.0 = -10.0
-1
Given: 7.0x + -3.0 = -10.0 | Subtract -3.0 β†’ 7.0x = -7.0 | Divide by 7.0 β†’ x = -1.0
4.0x + 6.0 = 9.0
0.75
Given: 4.0x + 6.0 = 9.0 | Subtract 6.0 β†’ 4.0x = 3.0 | Divide by 4.0 β†’ x = 0.75
7.0x + 1.0 = -2.0
-0.429
Given: 7.0x + 1.0 = -2.0 | Subtract 1.0 β†’ 7.0x = -3.0 | Divide by 7.0 β†’ x = -0.429
8.0x + 4.0 = 4.0
0
Given: 8.0x + 4.0 = 4.0 | Subtract 4.0 β†’ 8.0x = 0.0 | Divide by 8.0 β†’ x = 0.0
5.0x + 4.0 = -10.0
-2.8
Given: 5.0x + 4.0 = -10.0 | Subtract 4.0 β†’ 5.0x = -14.0 | Divide by 5.0 β†’ x = -2.8
4.0x + -10.0 = -4.0
1.5
Given: 4.0x + -10.0 = -4.0 | Subtract -10.0 β†’ 4.0x = 6.0 | Divide by 4.0 β†’ x = 1.5
9.0x + 7.0 = -9.0
-1.778
Given: 9.0x + 7.0 = -9.0 | Subtract 7.0 β†’ 9.0x = -16.0 | Divide by 9.0 β†’ x = -1.778
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 = 3.0
0.375
Given: 8.0x + 0.0 = 3.0 | Subtract 0.0 β†’ 8.0x = 3.0 | Divide by 8.0 β†’ x = 0.375
8.0x + -10.0 = -5.0
0.625
Given: 8.0x + -10.0 = -5.0 | Subtract -10.0 β†’ 8.0x = 5.0 | Divide by 8.0 β†’ x = 0.625
7.0x + 6.0 = -4.0
-1.429
Given: 7.0x + 6.0 = -4.0 | Subtract 6.0 β†’ 7.0x = -10.0 | Divide by 7.0 β†’ x = -1.429
6.0x + 0.0 = 7.0
1.167
Given: 6.0x + 0.0 = 7.0 | Subtract 0.0 β†’ 6.0x = 7.0 | Divide by 6.0 β†’ x = 1.167
7.0x + 7.0 = 3.0
-0.571
Given: 7.0x + 7.0 = 3.0 | Subtract 7.0 β†’ 7.0x = -4.0 | Divide by 7.0 β†’ x = -0.571
8.0x + 0.0 = 7.0
0.875
Given: 8.0x + 0.0 = 7.0 | Subtract 0.0 β†’ 8.0x = 7.0 | Divide by 8.0 β†’ x = 0.875
7.0x + 8.0 = 4.0
-0.571
Given: 7.0x + 8.0 = 4.0 | Subtract 8.0 β†’ 7.0x = -4.0 | Divide by 7.0 β†’ x = -0.571
2.0x + -7.0 = 3.0
5
Given: 2.0x + -7.0 = 3.0 | Subtract -7.0 β†’ 2.0x = 10.0 | Divide by 2.0 β†’ x = 5.0
5.0x + -7.0 = -3.0
0.8
Given: 5.0x + -7.0 = -3.0 | Subtract -7.0 β†’ 5.0x = 4.0 | Divide by 5.0 β†’ x = 0.8
3.0x + 7.0 = 6.0
-0.333
Given: 3.0x + 7.0 = 6.0 | Subtract 7.0 β†’ 3.0x = -1.0 | Divide by 3.0 β†’ x = -0.333
9.0x + 7.0 = 10.0
0.333
Given: 9.0x + 7.0 = 10.0 | Subtract 7.0 β†’ 9.0x = 3.0 | Divide by 9.0 β†’ x = 0.333
8.0x + 1.0 = 7.0
0.75
Given: 8.0x + 1.0 = 7.0 | Subtract 1.0 β†’ 8.0x = 6.0 | Divide by 8.0 β†’ x = 0.75
9.0x + 4.0 = 4.0
0
Given: 9.0x + 4.0 = 4.0 | Subtract 4.0 β†’ 9.0x = 0.0 | Divide by 9.0 β†’ x = 0.0
8.0x + 6.0 = -9.0
-1.875
Given: 8.0x + 6.0 = -9.0 | Subtract 6.0 β†’ 8.0x = -15.0 | Divide by 8.0 β†’ x = -1.875
9.0x + -10.0 = 9.0
2.111
Given: 9.0x + -10.0 = 9.0 | Subtract -10.0 β†’ 9.0x = 19.0 | Divide by 9.0 β†’ x = 2.111
9.0x + -4.0 = -8.0
-0.444
Given: 9.0x + -4.0 = -8.0 | Subtract -4.0 β†’ 9.0x = -4.0 | Divide by 9.0 β†’ x = -0.444
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
9.0x + -2.0 = -1.0
0.111
Given: 9.0x + -2.0 = -1.0 | Subtract -2.0 β†’ 9.0x = 1.0 | Divide by 9.0 β†’ x = 0.111
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
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
3.0x + -6.0 = 1.0
2.333
Given: 3.0x + -6.0 = 1.0 | Subtract -6.0 β†’ 3.0x = 7.0 | Divide by 3.0 β†’ x = 2.333
4.0x + 1.0 = -3.0
-1
Given: 4.0x + 1.0 = -3.0 | Subtract 1.0 β†’ 4.0x = -4.0 | Divide by 4.0 β†’ x = -1.0
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
5.0x + 0.0 = -1.0
-0.2
Given: 5.0x + 0.0 = -1.0 | Subtract 0.0 β†’ 5.0x = -1.0 | Divide by 5.0 β†’ x = -0.2
4.0x + -8.0 = -5.0
0.75
Given: 4.0x + -8.0 = -5.0 | Subtract -8.0 β†’ 4.0x = 3.0 | Divide by 4.0 β†’ x = 0.75
6.0x + 5.0 = 2.0
-0.5
Given: 6.0x + 5.0 = 2.0 | Subtract 5.0 β†’ 6.0x = -3.0 | Divide by 6.0 β†’ x = -0.5
7.0x + -4.0 = -2.0
0.286
Given: 7.0x + -4.0 = -2.0 | Subtract -4.0 β†’ 7.0x = 2.0 | Divide by 7.0 β†’ x = 0.286
8.0x + 7.0 = -7.0
-1.75
Given: 8.0x + 7.0 = -7.0 | Subtract 7.0 β†’ 8.0x = -14.0 | Divide by 8.0 β†’ x = -1.75
4.0x + -7.0 = -5.0
0.5
Given: 4.0x + -7.0 = -5.0 | Subtract -7.0 β†’ 4.0x = 2.0 | Divide by 4.0 β†’ x = 0.5
7.0x + 6.0 = 9.0
0.429
Given: 7.0x + 6.0 = 9.0 | Subtract 6.0 β†’ 7.0x = 3.0 | Divide by 7.0 β†’ x = 0.429
7.0x + 5.0 = -5.0
-1.429
Given: 7.0x + 5.0 = -5.0 | Subtract 5.0 β†’ 7.0x = -10.0 | Divide by 7.0 β†’ x = -1.429
9.0x + 1.0 = 7.0
0.667
Given: 9.0x + 1.0 = 7.0 | Subtract 1.0 β†’ 9.0x = 6.0 | Divide by 9.0 β†’ x = 0.667
2.0x + 2.0 = 7.0
2.5
Given: 2.0x + 2.0 = 7.0 | Subtract 2.0 β†’ 2.0x = 5.0 | Divide by 2.0 β†’ x = 2.5
4.0x + -9.0 = 7.0
4
Given: 4.0x + -9.0 = 7.0 | Subtract -9.0 β†’ 4.0x = 16.0 | Divide by 4.0 β†’ x = 4.0
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
9.0x + 2.0 = 8.0
0.667
Given: 9.0x + 2.0 = 8.0 | Subtract 2.0 β†’ 9.0x = 6.0 | Divide by 9.0 β†’ x = 0.667
5.0x + 3.0 = 10.0
1.4
Given: 5.0x + 3.0 = 10.0 | Subtract 3.0 β†’ 5.0x = 7.0 | Divide by 5.0 β†’ x = 1.4
3.0x + 4.0 = 5.0
0.333
Given: 3.0x + 4.0 = 5.0 | Subtract 4.0 β†’ 3.0x = 1.0 | Divide by 3.0 β†’ x = 0.333
4.0x + 9.0 = -4.0
-3.25
Given: 4.0x + 9.0 = -4.0 | Subtract 9.0 β†’ 4.0x = -13.0 | Divide by 4.0 β†’ x = -3.25
6.0x + 7.0 = 0.0
-1.167
Given: 6.0x + 7.0 = 0.0 | Subtract 7.0 β†’ 6.0x = -7.0 | Divide by 6.0 β†’ x = -1.167
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
4.0x + 5.0 = -3.0
-2
Given: 4.0x + 5.0 = -3.0 | Subtract 5.0 β†’ 4.0x = -8.0 | Divide by 4.0 β†’ x = -2.0
2.0x + 4.0 = 9.0
2.5
Given: 2.0x + 4.0 = 9.0 | Subtract 4.0 β†’ 2.0x = 5.0 | Divide by 2.0 β†’ x = 2.5
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
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
4.0x + 8.0 = -3.0
-2.75
Given: 4.0x + 8.0 = -3.0 | Subtract 8.0 β†’ 4.0x = -11.0 | Divide by 4.0 β†’ x = -2.75
6.0x + 5.0 = -10.0
-2.5
Given: 6.0x + 5.0 = -10.0 | Subtract 5.0 β†’ 6.0x = -15.0 | Divide by 6.0 β†’ x = -2.5
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
2.0x + -5.0 = 3.0
4
Given: 2.0x + -5.0 = 3.0 | Subtract -5.0 β†’ 2.0x = 8.0 | Divide by 2.0 β†’ x = 4.0
7.0x + 5.0 = 0.0
-0.714
Given: 7.0x + 5.0 = 0.0 | Subtract 5.0 β†’ 7.0x = -5.0 | Divide by 7.0 β†’ x = -0.714
9.0x + -6.0 = -1.0
0.556
Given: 9.0x + -6.0 = -1.0 | Subtract -6.0 β†’ 9.0x = 5.0 | Divide by 9.0 β†’ x = 0.556
8.0x + 9.0 = -1.0
-1.25
Given: 8.0x + 9.0 = -1.0 | Subtract 9.0 β†’ 8.0x = -10.0 | Divide by 8.0 β†’ x = -1.25
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 + 5.0 = -8.0
-13
Given: 1.0x + 5.0 = -8.0 | Subtract 5.0 β†’ 1.0x = -13.0 | Divide by 1.0 β†’ x = -13.0