Datasets:
ai-metrology-lab
/
MathBode-LinearSolve

Dataset card Data Studio Files
xet
Community
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
0
sinusoid
0.5
2
120
16
3.913397
Solve for x: 3.913397459621556x + 3 = 27 FINAL:
6.132779
6.132779
linear_solve
0
sinusoid
0.5
2
120
17
3.924816
Solve for x: 3.9248160192521024x + 3 = 27 FINAL:
6.114936
6.114936
linear_solve
0
sinusoid
0.5
2
120
18
3.939124
Solve for x: 3.939123857099128x + 3 = 27 FINAL:
6.092725
6.092725
linear_solve
0
sinusoid
0.5
2
120
19
3.955771
Solve for x: 3.9557711309781x + 3 = 27 FINAL:
6.067085
6.067085
linear_solve
0
sinusoid
0.5
2
120
20
3.974118
Solve for x: 3.974118095489748x + 3 = 27 FINAL:
6.039076
6.039076
linear_solve
0
sinusoid
0.5
2
120
21
3.99346
Solve for x: 3.9934596870769856x + 3 = 27 FINAL:
6.009827
6.009827
linear_solve
0
sinusoid
0.5
2
120
22
4.013053
Solve for x: 4.013052619222005x + 3 = 27 FINAL:
5.980485
5.980485
linear_solve
0
sinusoid
0.5
2
120
23
4.032144
Solve for x: 4.032143946530316x + 3 = 27 FINAL:
5.952168
5.952168
linear_solve
0
sinusoid
0.5
2
120
24
4.05
Solve for x: 4.05x + 3 = 27 FINAL:
5.925926
5.925926
linear_solve
0
sinusoid
0.5
2
120
25
4.065935
Solve for x: 4.065934581510007x + 3 = 27 FINAL:
5.902702
5.902702
linear_solve
0
sinusoid
0.5
2
120
26
4.079335
Solve for x: 4.079335334029124x + 3 = 27 FINAL:
5.883311
5.883311
linear_solve
0
sinusoid
0.5
2
120
27
4.089687
Solve for x: 4.089687274153269x + 3 = 27 FINAL:
5.868419
5.868419
linear_solve
0
sinusoid
0.5
2
120
28
4.096593
Solve for x: 4.096592582628907x + 3 = 27 FINAL:
5.858527
5.858527
linear_solve
0
sinusoid
0.5
2
120
29
4.099786
Solve for x: 4.09978589232386x + 3 = 27 FINAL:
5.853964
5.853964
linear_solve
0
sinusoid
0.5
2
120
30
4.099144
Solve for x: 4.099144486137381x + 3 = 27 FINAL:
5.85488
5.85488
linear_solve
0
sinusoid
0.5
2
120
31
4.094693
Solve for x: 4.09469301294951x + 3 = 27 FINAL:
5.861245
5.861245
linear_solve
0
sinusoid
0.5
2
120
32
4.086603
Solve for x: 4.086602540378444x + 3 = 27 FINAL:
5.872849
5.872849
linear_solve
0
sinusoid
0.5
2
120
33
4.075184
Solve for x: 4.075183980747898x + 3 = 27 FINAL:
5.889305
5.889305
linear_solve
0
sinusoid
0.5
2
120
34
4.060876
Solve for x: 4.060876142900872x + 3 = 27 FINAL:
5.910055
5.910055
linear_solve
0
sinusoid
0.5
2
120
35
4.044229
Solve for x: 4.0442288690219x + 3 = 27 FINAL:
5.934382
5.934382
linear_solve
0
sinusoid
0.5
2
120
36
4.025882
Solve for x: 4.0258819045102525x + 3 = 27 FINAL:
5.961427
5.961427
linear_solve
0
sinusoid
0.5
2
120
37
4.00654
Solve for x: 4.006540312923015x + 3 = 27 FINAL:
5.990206
5.990206
linear_solve
0
sinusoid
0.5
2
120
38
3.986947
Solve for x: 3.986947380777995x + 3 = 27 FINAL:
6.019643
6.019643
linear_solve
0
sinusoid
0.5
2
120
39
3.967856
Solve for x: 3.967856053469684x + 3 = 27 FINAL:
6.048607
6.048607
linear_solve
0
sinusoid
0.5
2
120
40
3.95
Solve for x: 3.95x + 3 = 27 FINAL:
6.075949
6.075949
linear_solve
0
sinusoid
0.5
2
120
41
3.934065
Solve for x: 3.9340654184899932x + 3 = 27 FINAL:
6.100559
6.100559
linear_solve
0
sinusoid
0.5
2
120
42
3.920665
Solve for x: 3.9206646659708766x + 3 = 27 FINAL:
6.121411
6.121411
linear_solve
0
sinusoid
0.5
2
120
43
3.910313
Solve for x: 3.9103127258467314x + 3 = 27 FINAL:
6.137617
6.137617
linear_solve
0
sinusoid
0.5
2
120
44
3.903407
Solve for x: 3.9034074173710933x + 3 = 27 FINAL:
6.148474
6.148474
linear_solve
0
sinusoid
0.5
2
120
45
3.900214
Solve for x: 3.9002141076761396x + 3 = 27 FINAL:
6.153508
6.153508
linear_solve
0
sinusoid
0.5
2
120
46
3.900856
Solve for x: 3.900855513862619x + 3 = 27 FINAL:
6.152497
6.152497
linear_solve
0
sinusoid
0.5
2
120
47
3.905307
Solve for x: 3.9053069870504893x + 3 = 27 FINAL:
6.145484
6.145484
linear_solve
0
sinusoid
0.5
2
120
48
3.913397
Solve for x: 3.913397459621556x + 3 = 27 FINAL:
6.132779
6.132779
linear_solve
0
sinusoid
0.5
2
120
49
3.924816
Solve for x: 3.924816019252102x + 3 = 27 FINAL:
6.114936
6.114936
linear_solve
0
sinusoid
0.5
2
120
50
3.939124
Solve for x: 3.939123857099128x + 3 = 27 FINAL:
6.092725
6.092725
linear_solve
0
sinusoid
0.5
2
120
51
3.955771
Solve for x: 3.9557711309781x + 3 = 27 FINAL:
6.067085
6.067085
linear_solve
0
sinusoid
0.5
2
120
52
3.974118
Solve for x: 3.974118095489748x + 3 = 27 FINAL:
6.039076
6.039076
linear_solve
0
sinusoid
0.5
2
120
53
3.99346
Solve for x: 3.9934596870769856x + 3 = 27 FINAL:
6.009827
6.009827
linear_solve
0
sinusoid
0.5
2
120
54
4.013053
Solve for x: 4.013052619222005x + 3 = 27 FINAL:
5.980485
5.980485
linear_solve
0
sinusoid
0.5
2
120
55
4.032144
Solve for x: 4.032143946530316x + 3 = 27 FINAL:
5.952168
5.952168
linear_solve
0
sinusoid
0.5
2
120
56
4.05
Solve for x: 4.05x + 3 = 27 FINAL:
5.925926
5.925926
linear_solve
0
sinusoid
0.5
2
120
57
4.065935
Solve for x: 4.065934581510007x + 3 = 27 FINAL:
5.902702
5.902702
linear_solve
0
sinusoid
0.5
2
120
58
4.079335
Solve for x: 4.079335334029124x + 3 = 27 FINAL:
5.883311
5.883311
linear_solve
0
sinusoid
0.5
2
120
59
4.089687
Solve for x: 4.089687274153269x + 3 = 27 FINAL:
5.868419
5.868419
linear_solve
0
sinusoid
0.5
2
120
60
4.096593
Solve for x: 4.096592582628907x + 3 = 27 FINAL:
5.858527
5.858527
linear_solve
0
sinusoid
0.5
2
120
61
4.099786
Solve for x: 4.09978589232386x + 3 = 27 FINAL:
5.853964
5.853964
linear_solve
0
sinusoid
0.5
2
120
62
4.099144
Solve for x: 4.099144486137381x + 3 = 27 FINAL:
5.85488
5.85488
linear_solve
0
sinusoid
0.5
2
120
63
4.094693
Solve for x: 4.09469301294951x + 3 = 27 FINAL:
5.861245
5.861245
linear_solve
0
sinusoid
0.5
4
120
0
4.086603
Solve for x: 4.086602540378444x + 3 = 27 FINAL:
5.872849
5.872849
linear_solve
0
sinusoid
0.5
4
120
1
4.060876
Solve for x: 4.060876142900872x + 3 = 27 FINAL:
5.910055
5.910055
linear_solve
0
sinusoid
0.5
4
120
2
4.025882
Solve for x: 4.0258819045102525x + 3 = 27 FINAL:
5.961427
5.961427
linear_solve
0
sinusoid
0.5
4
120
3
3.986947
Solve for x: 3.9869473807779947x + 3 = 27 FINAL:
6.019643
6.019643
linear_solve
0
sinusoid
0.5
4
120
4
3.95
Solve for x: 3.95x + 3 = 27 FINAL:
6.075949
6.075949
linear_solve
0
sinusoid
0.5
4
120
5
3.920665
Solve for x: 3.9206646659708766x + 3 = 27 FINAL:
6.121411
6.121411
linear_solve
0
sinusoid
0.5
4
120
6
3.903407
Solve for x: 3.9034074173710933x + 3 = 27 FINAL:
6.148474
6.148474
linear_solve
0
sinusoid
0.5
4
120
7
3.900856
Solve for x: 3.900855513862619x + 3 = 27 FINAL:
6.152497
6.152497
linear_solve
0
sinusoid
0.5
4
120
8
3.913397
Solve for x: 3.913397459621556x + 3 = 27 FINAL:
6.132779
6.132779
linear_solve
0
sinusoid
0.5
4
120
9
3.939124
Solve for x: 3.939123857099128x + 3 = 27 FINAL:
6.092725
6.092725
linear_solve
0
sinusoid
0.5
4
120
10
3.974118
Solve for x: 3.974118095489748x + 3 = 27 FINAL:
6.039076
6.039076
linear_solve
0
sinusoid
0.5
4
120
11
4.013053
Solve for x: 4.013052619222005x + 3 = 27 FINAL:
5.980485
5.980485
linear_solve
0
sinusoid
0.5
4
120
12
4.05
Solve for x: 4.05x + 3 = 27 FINAL:
5.925926
5.925926
linear_solve
0
sinusoid
0.5
4
120
13
4.079335
Solve for x: 4.079335334029124x + 3 = 27 FINAL:
5.883311
5.883311
linear_solve
0
sinusoid
0.5
4
120
14
4.096593
Solve for x: 4.096592582628907x + 3 = 27 FINAL:
5.858527
5.858527
linear_solve
0
sinusoid
0.5
4
120
15
4.099144
Solve for x: 4.099144486137381x + 3 = 27 FINAL:
5.85488
5.85488
linear_solve
0
sinusoid
0.5
4
120
16
4.086603
Solve for x: 4.086602540378444x + 3 = 27 FINAL:
5.872849
5.872849
linear_solve
0
sinusoid
0.5
4
120
17
4.060876
Solve for x: 4.060876142900872x + 3 = 27 FINAL:
5.910055
5.910055
linear_solve
0
sinusoid
0.5
4
120
18
4.025882
Solve for x: 4.0258819045102525x + 3 = 27 FINAL:
5.961427
5.961427
linear_solve
0
sinusoid
0.5
4
120
19
3.986947
Solve for x: 3.986947380777995x + 3 = 27 FINAL:
6.019643
6.019643
linear_solve
0
sinusoid
0.5
4
120
20
3.95
Solve for x: 3.95x + 3 = 27 FINAL:
6.075949
6.075949
linear_solve
0
sinusoid
0.5
4
120
21
3.920665
Solve for x: 3.9206646659708766x + 3 = 27 FINAL:
6.121411
6.121411
linear_solve
0
sinusoid
0.5
4
120
22
3.903407
Solve for x: 3.9034074173710933x + 3 = 27 FINAL:
6.148474
6.148474
linear_solve
0
sinusoid
0.5
4
120
23
3.900856
Solve for x: 3.900855513862619x + 3 = 27 FINAL:
6.152497
6.152497
linear_solve
0
sinusoid
0.5
4
120
24
3.913397
Solve for x: 3.913397459621556x + 3 = 27 FINAL:
6.132779
6.132779
linear_solve
0
sinusoid
0.5
4
120
25
3.939124
Solve for x: 3.939123857099128x + 3 = 27 FINAL:
6.092725
6.092725
linear_solve
0
sinusoid
0.5
4
120
26
3.974118
Solve for x: 3.974118095489748x + 3 = 27 FINAL:
6.039076
6.039076
linear_solve
0
sinusoid
0.5
4
120
27
4.013053
Solve for x: 4.013052619222005x + 3 = 27 FINAL:
5.980485
5.980485
linear_solve
0
sinusoid
0.5
4
120
28
4.05
Solve for x: 4.05x + 3 = 27 FINAL:
5.925926
5.925926
linear_solve
0
sinusoid
0.5
4
120
29
4.079335
Solve for x: 4.079335334029124x + 3 = 27 FINAL:
5.883311
5.883311
linear_solve
0
sinusoid
0.5
4
120
30
4.096593
Solve for x: 4.096592582628907x + 3 = 27 FINAL:
5.858527
5.858527
linear_solve
0
sinusoid
0.5
4
120
31
4.099144
Solve for x: 4.099144486137381x + 3 = 27 FINAL:
5.85488
5.85488
linear_solve
0
sinusoid
0.5
4
120
32
4.086603
Solve for x: 4.086602540378444x + 3 = 27 FINAL:
5.872849
5.872849
linear_solve
0
sinusoid
0.5
4
120
33
4.060876
Solve for x: 4.060876142900872x + 3 = 27 FINAL:
5.910055
5.910055
linear_solve
0
sinusoid
0.5
4
120
34
4.025882
Solve for x: 4.0258819045102525x + 3 = 27 FINAL:
5.961427
5.961427
linear_solve
0
sinusoid
0.5
4
120
35
3.986947
Solve for x: 3.986947380777995x + 3 = 27 FINAL:
6.019643
6.019643
linear_solve
0
sinusoid
0.5
4
120
36
3.95
Solve for x: 3.95x + 3 = 27 FINAL:
6.075949
6.075949
linear_solve
0
sinusoid
0.5
4
120
37
3.920665
Solve for x: 3.9206646659708766x + 3 = 27 FINAL:
6.121411
6.121411
linear_solve
0
sinusoid
0.5
4
120
38
3.903407
Solve for x: 3.9034074173710933x + 3 = 27 FINAL:
6.148474
6.148474
linear_solve
0
sinusoid
0.5
4
120
39
3.900856
Solve for x: 3.900855513862619x + 3 = 27 FINAL:
6.152497
6.152497
linear_solve
0
sinusoid
0.5
4
120
40
3.913397
Solve for x: 3.913397459621556x + 3 = 27 FINAL:
6.132779
6.132779
linear_solve
0
sinusoid
0.5
4
120
41
3.939124
Solve for x: 3.939123857099128x + 3 = 27 FINAL:
6.092725
6.092725
linear_solve
0
sinusoid
0.5
4
120
42
3.974118
Solve for x: 3.974118095489748x + 3 = 27 FINAL:
6.039076
6.039076
linear_solve
0
sinusoid
0.5
4
120
43
4.013053
Solve for x: 4.013052619222005x + 3 = 27 FINAL:
5.980485
5.980485
linear_solve
0
sinusoid
0.5
4
120
44
4.05
Solve for x: 4.05x + 3 = 27 FINAL:
5.925926
5.925926
linear_solve
0
sinusoid
0.5
4
120
45
4.079335
Solve for x: 4.079335334029124x + 3 = 27 FINAL:
5.883311
5.883311
linear_solve
0
sinusoid
0.5
4
120
46
4.096593
Solve for x: 4.096592582628907x + 3 = 27 FINAL:
5.858527
5.858527
linear_solve
0
sinusoid
0.5
4
120
47
4.099144
Solve for x: 4.099144486137381x + 3 = 27 FINAL:
5.85488
5.85488
linear_solve
0
sinusoid
0.5
4
120
48
4.086603
Solve for x: 4.086602540378444x + 3 = 27 FINAL:
5.872849
5.872849
linear_solve
0
sinusoid
0.5
4
120
49
4.060876
Solve for x: 4.060876142900872x + 3 = 27 FINAL:
5.910055
5.910055
linear_solve
0
sinusoid
0.5
4
120
50
4.025882
Solve for x: 4.025881904510252x + 3 = 27 FINAL:
5.961427
5.961427
linear_solve
0
sinusoid
0.5
4
120
51
3.986947
Solve for x: 3.9869473807779947x + 3 = 27 FINAL:
6.019643
6.019643