family
stringclasses
1 value
question_id
int64
0
2
signal_type
stringclasses
2 values
amplitude_scale
float64
0.5
2.5
frequency_cycles
float64
1
16
phase_deg
float64
0
240
time_step
int64
0
255
p_value
float64
3.5
4.5
prompt
stringlengths
35
50
ground_truth
float64
3.56
10.3
symbolic_baseline_answer
float64
3.56
10.3
linear_solve
2
sinusoid
0.5
8
240
48
3.913397
Solve for x: 3.913397459621556x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
8
240
49
3.903407
Solve for x: 3.9034074173710933x + 2 = 18 FINAL:
4.098983
4.098983
linear_solve
2
sinusoid
0.5
8
240
50
3.95
Solve for x: 3.95x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
8
240
51
4.025882
Solve for x: 4.025881904510252x + 2 = 18 FINAL:
3.974284
3.974284
linear_solve
2
sinusoid
0.5
8
240
52
4.086603
Solve for x: 4.086602540378444x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
8
240
53
4.096593
Solve for x: 4.096592582628907x + 2 = 18 FINAL:
3.905685
3.905685
linear_solve
2
sinusoid
0.5
8
240
54
4.05
Solve for x: 4.05x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
8
240
55
3.974118
Solve for x: 3.9741180954897475x + 2 = 18 FINAL:
4.02605
4.02605
linear_solve
2
sinusoid
0.5
8
240
56
3.913397
Solve for x: 3.913397459621556x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
8
240
57
3.903407
Solve for x: 3.9034074173710933x + 2 = 18 FINAL:
4.098983
4.098983
linear_solve
2
sinusoid
0.5
8
240
58
3.95
Solve for x: 3.95x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
8
240
59
4.025882
Solve for x: 4.025881904510252x + 2 = 18 FINAL:
3.974284
3.974284
linear_solve
2
sinusoid
0.5
8
240
60
4.086603
Solve for x: 4.086602540378443x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
8
240
61
4.096593
Solve for x: 4.096592582628907x + 2 = 18 FINAL:
3.905685
3.905685
linear_solve
2
sinusoid
0.5
8
240
62
4.05
Solve for x: 4.05x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
8
240
63
3.974118
Solve for x: 3.9741180954897475x + 2 = 18 FINAL:
4.02605
4.02605
linear_solve
2
sinusoid
0.5
16
240
0
3.913397
Solve for x: 3.913397459621556x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
16
240
1
3.95
Solve for x: 3.95x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
16
240
2
4.086603
Solve for x: 4.086602540378443x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
16
240
3
4.05
Solve for x: 4.05x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
16
240
4
3.913397
Solve for x: 3.913397459621556x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
16
240
5
3.95
Solve for x: 3.95x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
16
240
6
4.086603
Solve for x: 4.086602540378443x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
16
240
7
4.05
Solve for x: 4.05x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
16
240
8
3.913397
Solve for x: 3.913397459621556x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
16
240
9
3.95
Solve for x: 3.95x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
16
240
10
4.086603
Solve for x: 4.086602540378443x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
16
240
11
4.05
Solve for x: 4.050000000000001x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
16
240
12
3.913397
Solve for x: 3.913397459621556x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
16
240
13
3.95
Solve for x: 3.95x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
16
240
14
4.086603
Solve for x: 4.086602540378443x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
16
240
15
4.05
Solve for x: 4.050000000000001x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
16
240
16
3.913397
Solve for x: 3.913397459621556x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
16
240
17
3.95
Solve for x: 3.9499999999999997x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
16
240
18
4.086603
Solve for x: 4.086602540378443x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
16
240
19
4.05
Solve for x: 4.05x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
16
240
20
3.913397
Solve for x: 3.913397459621556x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
16
240
21
3.95
Solve for x: 3.95x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
16
240
22
4.086603
Solve for x: 4.086602540378443x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
16
240
23
4.05
Solve for x: 4.05x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
16
240
24
3.913397
Solve for x: 3.913397459621556x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
16
240
25
3.95
Solve for x: 3.95x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
16
240
26
4.086603
Solve for x: 4.086602540378444x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
16
240
27
4.05
Solve for x: 4.05x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
16
240
28
3.913397
Solve for x: 3.913397459621556x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
16
240
29
3.95
Solve for x: 3.95x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
16
240
30
4.086603
Solve for x: 4.086602540378443x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
16
240
31
4.05
Solve for x: 4.05x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
16
240
32
3.913397
Solve for x: 3.913397459621556x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
16
240
33
3.95
Solve for x: 3.95x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
16
240
34
4.086603
Solve for x: 4.086602540378444x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
16
240
35
4.05
Solve for x: 4.05x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
16
240
36
3.913397
Solve for x: 3.913397459621556x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
16
240
37
3.95
Solve for x: 3.95x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
16
240
38
4.086603
Solve for x: 4.086602540378443x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
16
240
39
4.05
Solve for x: 4.05x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
16
240
40
3.913397
Solve for x: 3.9133974596215566x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
16
240
41
3.95
Solve for x: 3.949999999999999x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
16
240
42
4.086603
Solve for x: 4.086602540378443x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
16
240
43
4.05
Solve for x: 4.050000000000001x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
16
240
44
3.913397
Solve for x: 3.913397459621557x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
16
240
45
3.95
Solve for x: 3.9499999999999993x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
16
240
46
4.086603
Solve for x: 4.086602540378443x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
16
240
47
4.05
Solve for x: 4.05x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
16
240
48
3.913397
Solve for x: 3.9133974596215566x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
16
240
49
3.95
Solve for x: 3.949999999999999x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
16
240
50
4.086603
Solve for x: 4.086602540378443x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
16
240
51
4.05
Solve for x: 4.050000000000001x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
16
240
52
3.913397
Solve for x: 3.913397459621556x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
16
240
53
3.95
Solve for x: 3.9499999999999993x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
16
240
54
4.086603
Solve for x: 4.086602540378443x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
16
240
55
4.05
Solve for x: 4.05x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
16
240
56
3.913397
Solve for x: 3.9133974596215566x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
16
240
57
3.95
Solve for x: 3.949999999999999x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
16
240
58
4.086603
Solve for x: 4.086602540378443x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
16
240
59
4.05
Solve for x: 4.050000000000001x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
2
sinusoid
0.5
16
240
60
3.913397
Solve for x: 3.913397459621557x + 2 = 18 FINAL:
4.088519
4.088519
linear_solve
2
sinusoid
0.5
16
240
61
3.95
Solve for x: 3.9499999999999993x + 2 = 18 FINAL:
4.050633
4.050633
linear_solve
2
sinusoid
0.5
16
240
62
4.086603
Solve for x: 4.086602540378443x + 2 = 18 FINAL:
3.915233
3.915233
linear_solve
2
sinusoid
0.5
16
240
63
4.05
Solve for x: 4.050000000000001x + 2 = 18 FINAL:
3.950617
3.950617
linear_solve
0
sinusoid
1
1
0
0
4
Solve for x: 4.0x + 3 = 27 FINAL:
6
6
linear_solve
0
sinusoid
1
1
0
1
4.019603
Solve for x: 4.0196034280659125x + 3 = 27 FINAL:
5.970738
5.970738
linear_solve
0
sinusoid
1
1
0
2
4.039018
Solve for x: 4.039018064403225x + 3 = 27 FINAL:
5.942038
5.942038
linear_solve
0
sinusoid
1
1
0
3
4.058057
Solve for x: 4.058056935450892x + 3 = 27 FINAL:
5.91416
5.91416
linear_solve
0
sinusoid
1
1
0
4
4.076537
Solve for x: 4.076536686473018x + 3 = 27 FINAL:
5.88735
5.88735
linear_solve
0
sinusoid
1
1
0
5
4.094279
Solve for x: 4.0942793473652x + 3 = 27 FINAL:
5.861837
5.861837
linear_solve
0
sinusoid
1
1
0
6
4.111114
Solve for x: 4.11111404660392x + 3 = 27 FINAL:
5.837834
5.837834
linear_solve
0
sinusoid
1
1
0
7
4.126879
Solve for x: 4.126878656832729x + 3 = 27 FINAL:
5.815533
5.815533
linear_solve
0
sinusoid
1
1
0
8
4.141421
Solve for x: 4.141421356237309x + 3 = 27 FINAL:
5.795112
5.795112
linear_solve
0
sinusoid
1
1
0
9
4.154602
Solve for x: 4.154602090672547x + 3 = 27 FINAL:
5.776727
5.776727
linear_solve
0
sinusoid
1
1
0
10
4.166294
Solve for x: 4.166293922460509x + 3 = 27 FINAL:
5.760515
5.760515
linear_solve
0
sinusoid
1
1
0
11
4.176384
Solve for x: 4.176384252869671x + 3 = 27 FINAL:
5.746598
5.746598
linear_solve
0
sinusoid
1
1
0
12
4.184776
Solve for x: 4.184775906502257x + 3 = 27 FINAL:
5.735074
5.735074
linear_solve
0
sinusoid
1
1
0
13
4.191388
Solve for x: 4.191388067146442x + 3 = 27 FINAL:
5.726027
5.726027
linear_solve
0
sinusoid
1
1
0
14
4.196157
Solve for x: 4.196157056080646x + 3 = 27 FINAL:
5.719519
5.719519
linear_solve
0
sinusoid
1
1
0
15
4.199037
Solve for x: 4.19903694533444x + 3 = 27 FINAL:
5.715596
5.715596
linear_solve
0
sinusoid
1
1
0
16
4.2
Solve for x: 4.2x + 3 = 27 FINAL:
5.714286
5.714286
linear_solve
0
sinusoid
1
1
0
17
4.199037
Solve for x: 4.19903694533444x + 3 = 27 FINAL:
5.715596
5.715596
linear_solve
0
sinusoid
1
1
0
18
4.196157
Solve for x: 4.196157056080646x + 3 = 27 FINAL:
5.719519
5.719519
linear_solve
0
sinusoid
1
1
0
19
4.191388
Solve for x: 4.191388067146442x + 3 = 27 FINAL:
5.726027
5.726027