Problem
stringlengths
16
20
Solution
float64
-20
20
Reasoning
stringlengths
77
86
2.0x + -6.0 = -5.0
0.5
Given: 2.0x + -6.0 = -5.0 | Subtract -6.0 β†’ 2.0x = 1.0 | Divide by 2.0 β†’ x = 0.5
2.0x + 10.0 = -5.0
-7.5
Given: 2.0x + 10.0 = -5.0 | Subtract 10.0 β†’ 2.0x = -15.0 | Divide by 2.0 β†’ x = -7.5
3.0x + -7.0 = 8.0
5
Given: 3.0x + -7.0 = 8.0 | Subtract -7.0 β†’ 3.0x = 15.0 | Divide by 3.0 β†’ x = 5.0
9.0x + -10.0 = 4.0
1.556
Given: 9.0x + -10.0 = 4.0 | Subtract -10.0 β†’ 9.0x = 14.0 | Divide by 9.0 β†’ x = 1.556
9.0x + -9.0 = 1.0
1.111
Given: 9.0x + -9.0 = 1.0 | Subtract -9.0 β†’ 9.0x = 10.0 | Divide by 9.0 β†’ x = 1.111
9.0x + 0.0 = 1.0
0.111
Given: 9.0x + 0.0 = 1.0 | Subtract 0.0 β†’ 9.0x = 1.0 | Divide by 9.0 β†’ x = 0.111
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
7.0x + 9.0 = -2.0
-1.571
Given: 7.0x + 9.0 = -2.0 | Subtract 9.0 β†’ 7.0x = -11.0 | Divide by 7.0 β†’ x = -1.571
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
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
8.0x + -3.0 = 6.0
1.125
Given: 8.0x + -3.0 = 6.0 | Subtract -3.0 β†’ 8.0x = 9.0 | Divide by 8.0 β†’ x = 1.125
2.0x + 5.0 = -9.0
-7
Given: 2.0x + 5.0 = -9.0 | Subtract 5.0 β†’ 2.0x = -14.0 | Divide by 2.0 β†’ x = -7.0
5.0x + 8.0 = 2.0
-1.2
Given: 5.0x + 8.0 = 2.0 | Subtract 8.0 β†’ 5.0x = -6.0 | Divide by 5.0 β†’ x = -1.2
3.0x + 9.0 = 7.0
-0.667
Given: 3.0x + 9.0 = 7.0 | Subtract 9.0 β†’ 3.0x = -2.0 | Divide by 3.0 β†’ x = -0.667
9.0x + -6.0 = 3.0
1
Given: 9.0x + -6.0 = 3.0 | Subtract -6.0 β†’ 9.0x = 9.0 | Divide by 9.0 β†’ x = 1.0
8.0x + 2.0 = -3.0
-0.625
Given: 8.0x + 2.0 = -3.0 | Subtract 2.0 β†’ 8.0x = -5.0 | Divide by 8.0 β†’ x = -0.625
8.0x + 7.0 = -10.0
-2.125
Given: 8.0x + 7.0 = -10.0 | Subtract 7.0 β†’ 8.0x = -17.0 | Divide by 8.0 β†’ x = -2.125
6.0x + 10.0 = -10.0
-3.333
Given: 6.0x + 10.0 = -10.0 | Subtract 10.0 β†’ 6.0x = -20.0 | Divide by 6.0 β†’ x = -3.333
7.0x + 6.0 = 5.0
-0.143
Given: 7.0x + 6.0 = 5.0 | Subtract 6.0 β†’ 7.0x = -1.0 | Divide by 7.0 β†’ x = -0.143
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
9.0x + 5.0 = 0.0
-0.556
Given: 9.0x + 5.0 = 0.0 | Subtract 5.0 β†’ 9.0x = -5.0 | Divide by 9.0 β†’ x = -0.556
2.0x + 8.0 = 4.0
-2
Given: 2.0x + 8.0 = 4.0 | Subtract 8.0 β†’ 2.0x = -4.0 | Divide by 2.0 β†’ x = -2.0
6.0x + 8.0 = 6.0
-0.333
Given: 6.0x + 8.0 = 6.0 | Subtract 8.0 β†’ 6.0x = -2.0 | Divide by 6.0 β†’ x = -0.333
2.0x + -6.0 = 2.0
4
Given: 2.0x + -6.0 = 2.0 | Subtract -6.0 β†’ 2.0x = 8.0 | Divide by 2.0 β†’ x = 4.0
1.0x + -8.0 = 9.0
17
Given: 1.0x + -8.0 = 9.0 | Subtract -8.0 β†’ 1.0x = 17.0 | Divide by 1.0 β†’ x = 17.0
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
2.0x + 4.0 = 10.0
3
Given: 2.0x + 4.0 = 10.0 | Subtract 4.0 β†’ 2.0x = 6.0 | Divide by 2.0 β†’ x = 3.0
3.0x + 2.0 = 9.0
2.333
Given: 3.0x + 2.0 = 9.0 | Subtract 2.0 β†’ 3.0x = 7.0 | Divide by 3.0 β†’ x = 2.333
3.0x + -7.0 = -1.0
2
Given: 3.0x + -7.0 = -1.0 | Subtract -7.0 β†’ 3.0x = 6.0 | Divide by 3.0 β†’ x = 2.0
2.0x + -4.0 = 10.0
7
Given: 2.0x + -4.0 = 10.0 | Subtract -4.0 β†’ 2.0x = 14.0 | Divide by 2.0 β†’ x = 7.0
8.0x + 6.0 = -6.0
-1.5
Given: 8.0x + 6.0 = -6.0 | Subtract 6.0 β†’ 8.0x = -12.0 | Divide by 8.0 β†’ x = -1.5
4.0x + -7.0 = 0.0
1.75
Given: 4.0x + -7.0 = 0.0 | Subtract -7.0 β†’ 4.0x = 7.0 | Divide by 4.0 β†’ x = 1.75
4.0x + 8.0 = -6.0
-3.5
Given: 4.0x + 8.0 = -6.0 | Subtract 8.0 β†’ 4.0x = -14.0 | Divide by 4.0 β†’ x = -3.5
8.0x + 7.0 = 8.0
0.125
Given: 8.0x + 7.0 = 8.0 | Subtract 7.0 β†’ 8.0x = 1.0 | Divide by 8.0 β†’ x = 0.125
3.0x + -4.0 = -9.0
-1.667
Given: 3.0x + -4.0 = -9.0 | Subtract -4.0 β†’ 3.0x = -5.0 | Divide by 3.0 β†’ x = -1.667
6.0x + -5.0 = 4.0
1.5
Given: 6.0x + -5.0 = 4.0 | Subtract -5.0 β†’ 6.0x = 9.0 | Divide by 6.0 β†’ x = 1.5
2.0x + -10.0 = -4.0
3
Given: 2.0x + -10.0 = -4.0 | Subtract -10.0 β†’ 2.0x = 6.0 | Divide by 2.0 β†’ x = 3.0
6.0x + -6.0 = -6.0
0
Given: 6.0x + -6.0 = -6.0 | Subtract -6.0 β†’ 6.0x = 0.0 | Divide by 6.0 β†’ x = 0.0
5.0x + 0.0 = 5.0
1
Given: 5.0x + 0.0 = 5.0 | Subtract 0.0 β†’ 5.0x = 5.0 | Divide by 5.0 β†’ x = 1.0
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
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
4.0x + 6.0 = 7.0
0.25
Given: 4.0x + 6.0 = 7.0 | Subtract 6.0 β†’ 4.0x = 1.0 | Divide by 4.0 β†’ x = 0.25
3.0x + 3.0 = -4.0
-2.333
Given: 3.0x + 3.0 = -4.0 | Subtract 3.0 β†’ 3.0x = -7.0 | Divide by 3.0 β†’ x = -2.333
8.0x + 2.0 = -3.0
-0.625
Given: 8.0x + 2.0 = -3.0 | Subtract 2.0 β†’ 8.0x = -5.0 | Divide by 8.0 β†’ x = -0.625
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
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
2.0x + 6.0 = 0.0
-3
Given: 2.0x + 6.0 = 0.0 | Subtract 6.0 β†’ 2.0x = -6.0 | Divide by 2.0 β†’ x = -3.0
3.0x + -6.0 = -6.0
0
Given: 3.0x + -6.0 = -6.0 | Subtract -6.0 β†’ 3.0x = 0.0 | Divide by 3.0 β†’ x = 0.0
6.0x + 9.0 = 3.0
-1
Given: 6.0x + 9.0 = 3.0 | Subtract 9.0 β†’ 6.0x = -6.0 | Divide by 6.0 β†’ x = -1.0
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
5.0x + -4.0 = 2.0
1.2
Given: 5.0x + -4.0 = 2.0 | Subtract -4.0 β†’ 5.0x = 6.0 | Divide by 5.0 β†’ x = 1.2
2.0x + -9.0 = 1.0
5
Given: 2.0x + -9.0 = 1.0 | Subtract -9.0 β†’ 2.0x = 10.0 | Divide by 2.0 β†’ x = 5.0
8.0x + 1.0 = -4.0
-0.625
Given: 8.0x + 1.0 = -4.0 | Subtract 1.0 β†’ 8.0x = -5.0 | Divide by 8.0 β†’ x = -0.625
6.0x + -4.0 = 3.0
1.167
Given: 6.0x + -4.0 = 3.0 | Subtract -4.0 β†’ 6.0x = 7.0 | Divide by 6.0 β†’ x = 1.167
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
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
9.0x + 7.0 = -7.0
-1.556
Given: 9.0x + 7.0 = -7.0 | Subtract 7.0 β†’ 9.0x = -14.0 | Divide by 9.0 β†’ x = -1.556
6.0x + 1.0 = -1.0
-0.333
Given: 6.0x + 1.0 = -1.0 | Subtract 1.0 β†’ 6.0x = -2.0 | Divide by 6.0 β†’ x = -0.333
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 + 7.0 = -5.0
-12
Given: 1.0x + 7.0 = -5.0 | Subtract 7.0 β†’ 1.0x = -12.0 | Divide by 1.0 β†’ x = -12.0
5.0x + 3.0 = -9.0
-2.4
Given: 5.0x + 3.0 = -9.0 | Subtract 3.0 β†’ 5.0x = -12.0 | Divide by 5.0 β†’ x = -2.4
9.0x + 8.0 = -9.0
-1.889
Given: 9.0x + 8.0 = -9.0 | Subtract 8.0 β†’ 9.0x = -17.0 | Divide by 9.0 β†’ x = -1.889
7.0x + 9.0 = 1.0
-1.143
Given: 7.0x + 9.0 = 1.0 | Subtract 9.0 β†’ 7.0x = -8.0 | Divide by 7.0 β†’ x = -1.143
7.0x + 10.0 = 10.0
0
Given: 7.0x + 10.0 = 10.0 | Subtract 10.0 β†’ 7.0x = 0.0 | Divide by 7.0 β†’ x = 0.0
2.0x + 9.0 = 10.0
0.5
Given: 2.0x + 9.0 = 10.0 | Subtract 9.0 β†’ 2.0x = 1.0 | Divide by 2.0 β†’ x = 0.5
5.0x + -4.0 = -1.0
0.6
Given: 5.0x + -4.0 = -1.0 | Subtract -4.0 β†’ 5.0x = 3.0 | Divide by 5.0 β†’ x = 0.6
2.0x + 8.0 = -10.0
-9
Given: 2.0x + 8.0 = -10.0 | Subtract 8.0 β†’ 2.0x = -18.0 | Divide by 2.0 β†’ x = -9.0
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
8.0x + -2.0 = 10.0
1.5
Given: 8.0x + -2.0 = 10.0 | Subtract -2.0 β†’ 8.0x = 12.0 | Divide by 8.0 β†’ x = 1.5
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
1.0x + 2.0 = 10.0
8
Given: 1.0x + 2.0 = 10.0 | Subtract 2.0 β†’ 1.0x = 8.0 | Divide by 1.0 β†’ x = 8.0
8.0x + 0.0 = -9.0
-1.125
Given: 8.0x + 0.0 = -9.0 | Subtract 0.0 β†’ 8.0x = -9.0 | Divide by 8.0 β†’ x = -1.125
2.0x + -2.0 = 9.0
5.5
Given: 2.0x + -2.0 = 9.0 | Subtract -2.0 β†’ 2.0x = 11.0 | Divide by 2.0 β†’ x = 5.5
8.0x + -6.0 = -5.0
0.125
Given: 8.0x + -6.0 = -5.0 | Subtract -6.0 β†’ 8.0x = 1.0 | Divide by 8.0 β†’ x = 0.125
2.0x + -10.0 = 5.0
7.5
Given: 2.0x + -10.0 = 5.0 | Subtract -10.0 β†’ 2.0x = 15.0 | Divide by 2.0 β†’ x = 7.5
1.0x + 10.0 = -4.0
-14
Given: 1.0x + 10.0 = -4.0 | Subtract 10.0 β†’ 1.0x = -14.0 | Divide by 1.0 β†’ x = -14.0
9.0x + 6.0 = 3.0
-0.333
Given: 9.0x + 6.0 = 3.0 | Subtract 6.0 β†’ 9.0x = -3.0 | Divide by 9.0 β†’ x = -0.333
6.0x + 1.0 = 7.0
1
Given: 6.0x + 1.0 = 7.0 | Subtract 1.0 β†’ 6.0x = 6.0 | Divide by 6.0 β†’ x = 1.0
1.0x + 8.0 = -7.0
-15
Given: 1.0x + 8.0 = -7.0 | Subtract 8.0 β†’ 1.0x = -15.0 | Divide by 1.0 β†’ x = -15.0
4.0x + 9.0 = 9.0
0
Given: 4.0x + 9.0 = 9.0 | Subtract 9.0 β†’ 4.0x = 0.0 | Divide by 4.0 β†’ x = 0.0
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
8.0x + -2.0 = 1.0
0.375
Given: 8.0x + -2.0 = 1.0 | Subtract -2.0 β†’ 8.0x = 3.0 | Divide by 8.0 β†’ x = 0.375
2.0x + 10.0 = 6.0
-2
Given: 2.0x + 10.0 = 6.0 | Subtract 10.0 β†’ 2.0x = -4.0 | Divide by 2.0 β†’ x = -2.0
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
2.0x + -8.0 = -10.0
-1
Given: 2.0x + -8.0 = -10.0 | Subtract -8.0 β†’ 2.0x = -2.0 | Divide by 2.0 β†’ x = -1.0
8.0x + -10.0 = -8.0
0.25
Given: 8.0x + -10.0 = -8.0 | Subtract -10.0 β†’ 8.0x = 2.0 | Divide by 8.0 β†’ x = 0.25
4.0x + -3.0 = -6.0
-0.75
Given: 4.0x + -3.0 = -6.0 | Subtract -3.0 β†’ 4.0x = -3.0 | Divide by 4.0 β†’ x = -0.75
2.0x + 6.0 = 6.0
0
Given: 2.0x + 6.0 = 6.0 | Subtract 6.0 β†’ 2.0x = 0.0 | Divide by 2.0 β†’ x = 0.0
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
8.0x + -6.0 = -8.0
-0.25
Given: 8.0x + -6.0 = -8.0 | Subtract -6.0 β†’ 8.0x = -2.0 | Divide by 8.0 β†’ x = -0.25
1.0x + -5.0 = -5.0
0
Given: 1.0x + -5.0 = -5.0 | Subtract -5.0 β†’ 1.0x = 0.0 | Divide by 1.0 β†’ x = 0.0
3.0x + 8.0 = 2.0
-2
Given: 3.0x + 8.0 = 2.0 | Subtract 8.0 β†’ 3.0x = -6.0 | Divide by 3.0 β†’ x = -2.0
9.0x + 4.0 = 6.0
0.222
Given: 9.0x + 4.0 = 6.0 | Subtract 4.0 β†’ 9.0x = 2.0 | Divide by 9.0 β†’ x = 0.222
4.0x + 9.0 = 10.0
0.25
Given: 4.0x + 9.0 = 10.0 | Subtract 9.0 β†’ 4.0x = 1.0 | Divide by 4.0 β†’ x = 0.25
5.0x + 0.0 = -6.0
-1.2
Given: 5.0x + 0.0 = -6.0 | Subtract 0.0 β†’ 5.0x = -6.0 | Divide by 5.0 β†’ x = -1.2
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
4.0x + -4.0 = 9.0
3.25
Given: 4.0x + -4.0 = 9.0 | Subtract -4.0 β†’ 4.0x = 13.0 | Divide by 4.0 β†’ x = 3.25
8.0x + 7.0 = -10.0
-2.125
Given: 8.0x + 7.0 = -10.0 | Subtract 7.0 β†’ 8.0x = -17.0 | Divide by 8.0 β†’ x = -2.125
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
1.0x + -6.0 = -8.0
-2
Given: 1.0x + -6.0 = -8.0 | Subtract -6.0 β†’ 1.0x = -2.0 | Divide by 1.0 β†’ x = -2.0