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
1
240
60
3.939124
Solve for x: 3.939123857099128x + 3 = 27 FINAL:
6.092725
6.092725
linear_solve
0
sinusoid
0.5
1
240
61
3.931641
Solve for x: 3.931640769797713x + 3 = 27 FINAL:
6.104322
6.104322
linear_solve
0
sinusoid
0.5
1
240
62
3.924816
Solve for x: 3.9248160192521024x + 3 = 27 FINAL:
6.114936
6.114936
linear_solve
0
sinusoid
0.5
1
240
63
3.918715
Solve for x: 3.9187153315408385x + 3 = 27 FINAL:
6.124456
6.124456
linear_solve
0
sinusoid
0.5
2
240
0
3.913397
Solve for x: 3.913397459621556x + 3 = 27 FINAL:
6.132779
6.132779
linear_solve
0
sinusoid
0.5
2
240
1
3.905307
Solve for x: 3.9053069870504893x + 3 = 27 FINAL:
6.145484
6.145484
linear_solve
0
sinusoid
0.5
2
240
2
3.900856
Solve for x: 3.900855513862619x + 3 = 27 FINAL:
6.152497
6.152497
linear_solve
0
sinusoid
0.5
2
240
3
3.900214
Solve for x: 3.9002141076761396x + 3 = 27 FINAL:
6.153508
6.153508
linear_solve
0
sinusoid
0.5
2
240
4
3.903407
Solve for x: 3.9034074173710933x + 3 = 27 FINAL:
6.148474
6.148474
linear_solve
0
sinusoid
0.5
2
240
5
3.910313
Solve for x: 3.910312725846731x + 3 = 27 FINAL:
6.137617
6.137617
linear_solve
0
sinusoid
0.5
2
240
6
3.920665
Solve for x: 3.9206646659708766x + 3 = 27 FINAL:
6.121411
6.121411
linear_solve
0
sinusoid
0.5
2
240
7
3.934065
Solve for x: 3.9340654184899932x + 3 = 27 FINAL:
6.100559
6.100559
linear_solve
0
sinusoid
0.5
2
240
8
3.95
Solve for x: 3.95x + 3 = 27 FINAL:
6.075949
6.075949
linear_solve
0
sinusoid
0.5
2
240
9
3.967856
Solve for x: 3.9678560534696836x + 3 = 27 FINAL:
6.048607
6.048607
linear_solve
0
sinusoid
0.5
2
240
10
3.986947
Solve for x: 3.9869473807779947x + 3 = 27 FINAL:
6.019643
6.019643
linear_solve
0
sinusoid
0.5
2
240
11
4.00654
Solve for x: 4.006540312923014x + 3 = 27 FINAL:
5.990206
5.990206
linear_solve
0
sinusoid
0.5
2
240
12
4.025882
Solve for x: 4.025881904510252x + 3 = 27 FINAL:
5.961427
5.961427
linear_solve
0
sinusoid
0.5
2
240
13
4.044229
Solve for x: 4.0442288690219x + 3 = 27 FINAL:
5.934382
5.934382
linear_solve
0
sinusoid
0.5
2
240
14
4.060876
Solve for x: 4.060876142900872x + 3 = 27 FINAL:
5.910055
5.910055
linear_solve
0
sinusoid
0.5
2
240
15
4.075184
Solve for x: 4.075183980747898x + 3 = 27 FINAL:
5.889305
5.889305
linear_solve
0
sinusoid
0.5
2
240
16
4.086603
Solve for x: 4.086602540378443x + 3 = 27 FINAL:
5.872849
5.872849
linear_solve
0
sinusoid
0.5
2
240
17
4.094693
Solve for x: 4.09469301294951x + 3 = 27 FINAL:
5.861245
5.861245
linear_solve
0
sinusoid
0.5
2
240
18
4.099144
Solve for x: 4.099144486137381x + 3 = 27 FINAL:
5.85488
5.85488
linear_solve
0
sinusoid
0.5
2
240
19
4.099786
Solve for x: 4.09978589232386x + 3 = 27 FINAL:
5.853964
5.853964
linear_solve
0
sinusoid
0.5
2
240
20
4.096593
Solve for x: 4.096592582628907x + 3 = 27 FINAL:
5.858527
5.858527
linear_solve
0
sinusoid
0.5
2
240
21
4.089687
Solve for x: 4.089687274153269x + 3 = 27 FINAL:
5.868419
5.868419
linear_solve
0
sinusoid
0.5
2
240
22
4.079335
Solve for x: 4.079335334029124x + 3 = 27 FINAL:
5.883311
5.883311
linear_solve
0
sinusoid
0.5
2
240
23
4.065935
Solve for x: 4.065934581510007x + 3 = 27 FINAL:
5.902702
5.902702
linear_solve
0
sinusoid
0.5
2
240
24
4.05
Solve for x: 4.05x + 3 = 27 FINAL:
5.925926
5.925926
linear_solve
0
sinusoid
0.5
2
240
25
4.032144
Solve for x: 4.032143946530316x + 3 = 27 FINAL:
5.952168
5.952168
linear_solve
0
sinusoid
0.5
2
240
26
4.013053
Solve for x: 4.013052619222005x + 3 = 27 FINAL:
5.980485
5.980485
linear_solve
0
sinusoid
0.5
2
240
27
3.99346
Solve for x: 3.993459687076986x + 3 = 27 FINAL:
6.009827
6.009827
linear_solve
0
sinusoid
0.5
2
240
28
3.974118
Solve for x: 3.974118095489748x + 3 = 27 FINAL:
6.039076
6.039076
linear_solve
0
sinusoid
0.5
2
240
29
3.955771
Solve for x: 3.9557711309781x + 3 = 27 FINAL:
6.067085
6.067085
linear_solve
0
sinusoid
0.5
2
240
30
3.939124
Solve for x: 3.939123857099128x + 3 = 27 FINAL:
6.092725
6.092725
linear_solve
0
sinusoid
0.5
2
240
31
3.924816
Solve for x: 3.9248160192521024x + 3 = 27 FINAL:
6.114936
6.114936
linear_solve
0
sinusoid
0.5
2
240
32
3.913397
Solve for x: 3.913397459621556x + 3 = 27 FINAL:
6.132779
6.132779
linear_solve
0
sinusoid
0.5
2
240
33
3.905307
Solve for x: 3.9053069870504893x + 3 = 27 FINAL:
6.145484
6.145484
linear_solve
0
sinusoid
0.5
2
240
34
3.900856
Solve for x: 3.900855513862619x + 3 = 27 FINAL:
6.152497
6.152497
linear_solve
0
sinusoid
0.5
2
240
35
3.900214
Solve for x: 3.9002141076761396x + 3 = 27 FINAL:
6.153508
6.153508
linear_solve
0
sinusoid
0.5
2
240
36
3.903407
Solve for x: 3.9034074173710933x + 3 = 27 FINAL:
6.148474
6.148474
linear_solve
0
sinusoid
0.5
2
240
37
3.910313
Solve for x: 3.910312725846731x + 3 = 27 FINAL:
6.137617
6.137617
linear_solve
0
sinusoid
0.5
2
240
38
3.920665
Solve for x: 3.920664665970876x + 3 = 27 FINAL:
6.121411
6.121411
linear_solve
0
sinusoid
0.5
2
240
39
3.934065
Solve for x: 3.9340654184899932x + 3 = 27 FINAL:
6.100559
6.100559
linear_solve
0
sinusoid
0.5
2
240
40
3.95
Solve for x: 3.95x + 3 = 27 FINAL:
6.075949
6.075949
linear_solve
0
sinusoid
0.5
2
240
41
3.967856
Solve for x: 3.9678560534696836x + 3 = 27 FINAL:
6.048607
6.048607
linear_solve
0
sinusoid
0.5
2
240
42
3.986947
Solve for x: 3.9869473807779947x + 3 = 27 FINAL:
6.019643
6.019643
linear_solve
0
sinusoid
0.5
2
240
43
4.00654
Solve for x: 4.006540312923014x + 3 = 27 FINAL:
5.990206
5.990206
linear_solve
0
sinusoid
0.5
2
240
44
4.025882
Solve for x: 4.025881904510252x + 3 = 27 FINAL:
5.961427
5.961427
linear_solve
0
sinusoid
0.5
2
240
45
4.044229
Solve for x: 4.0442288690219x + 3 = 27 FINAL:
5.934382
5.934382
linear_solve
0
sinusoid
0.5
2
240
46
4.060876
Solve for x: 4.060876142900872x + 3 = 27 FINAL:
5.910055
5.910055
linear_solve
0
sinusoid
0.5
2
240
47
4.075184
Solve for x: 4.075183980747898x + 3 = 27 FINAL:
5.889305
5.889305
linear_solve
0
sinusoid
0.5
2
240
48
4.086603
Solve for x: 4.086602540378443x + 3 = 27 FINAL:
5.872849
5.872849
linear_solve
0
sinusoid
0.5
2
240
49
4.094693
Solve for x: 4.09469301294951x + 3 = 27 FINAL:
5.861245
5.861245
linear_solve
0
sinusoid
0.5
2
240
50
4.099144
Solve for x: 4.099144486137381x + 3 = 27 FINAL:
5.85488
5.85488
linear_solve
0
sinusoid
0.5
2
240
51
4.099786
Solve for x: 4.09978589232386x + 3 = 27 FINAL:
5.853964
5.853964
linear_solve
0
sinusoid
0.5
2
240
52
4.096593
Solve for x: 4.096592582628907x + 3 = 27 FINAL:
5.858527
5.858527
linear_solve
0
sinusoid
0.5
2
240
53
4.089687
Solve for x: 4.089687274153269x + 3 = 27 FINAL:
5.868419
5.868419
linear_solve
0
sinusoid
0.5
2
240
54
4.079335
Solve for x: 4.079335334029124x + 3 = 27 FINAL:
5.883311
5.883311
linear_solve
0
sinusoid
0.5
2
240
55
4.065935
Solve for x: 4.065934581510007x + 3 = 27 FINAL:
5.902702
5.902702
linear_solve
0
sinusoid
0.5
2
240
56
4.05
Solve for x: 4.05x + 3 = 27 FINAL:
5.925926
5.925926
linear_solve
0
sinusoid
0.5
2
240
57
4.032144
Solve for x: 4.032143946530316x + 3 = 27 FINAL:
5.952168
5.952168
linear_solve
0
sinusoid
0.5
2
240
58
4.013053
Solve for x: 4.013052619222005x + 3 = 27 FINAL:
5.980485
5.980485
linear_solve
0
sinusoid
0.5
2
240
59
3.99346
Solve for x: 3.993459687076986x + 3 = 27 FINAL:
6.009827
6.009827
linear_solve
0
sinusoid
0.5
2
240
60
3.974118
Solve for x: 3.9741180954897484x + 3 = 27 FINAL:
6.039076
6.039076
linear_solve
0
sinusoid
0.5
2
240
61
3.955771
Solve for x: 3.9557711309781x + 3 = 27 FINAL:
6.067085
6.067085
linear_solve
0
sinusoid
0.5
2
240
62
3.939124
Solve for x: 3.939123857099128x + 3 = 27 FINAL:
6.092725
6.092725
linear_solve
0
sinusoid
0.5
2
240
63
3.924816
Solve for x: 3.9248160192521024x + 3 = 27 FINAL:
6.114936
6.114936
linear_solve
0
sinusoid
0.5
4
240
0
3.913397
Solve for x: 3.913397459621556x + 3 = 27 FINAL:
6.132779
6.132779
linear_solve
0
sinusoid
0.5
4
240
1
3.900856
Solve for x: 3.900855513862619x + 3 = 27 FINAL:
6.152497
6.152497
linear_solve
0
sinusoid
0.5
4
240
2
3.903407
Solve for x: 3.9034074173710933x + 3 = 27 FINAL:
6.148474
6.148474
linear_solve
0
sinusoid
0.5
4
240
3
3.920665
Solve for x: 3.9206646659708766x + 3 = 27 FINAL:
6.121411
6.121411
linear_solve
0
sinusoid
0.5
4
240
4
3.95
Solve for x: 3.95x + 3 = 27 FINAL:
6.075949
6.075949
linear_solve
0
sinusoid
0.5
4
240
5
3.986947
Solve for x: 3.9869473807779947x + 3 = 27 FINAL:
6.019643
6.019643
linear_solve
0
sinusoid
0.5
4
240
6
4.025882
Solve for x: 4.025881904510252x + 3 = 27 FINAL:
5.961427
5.961427
linear_solve
0
sinusoid
0.5
4
240
7
4.060876
Solve for x: 4.060876142900872x + 3 = 27 FINAL:
5.910055
5.910055
linear_solve
0
sinusoid
0.5
4
240
8
4.086603
Solve for x: 4.086602540378443x + 3 = 27 FINAL:
5.872849
5.872849
linear_solve
0
sinusoid
0.5
4
240
9
4.099144
Solve for x: 4.099144486137381x + 3 = 27 FINAL:
5.85488
5.85488
linear_solve
0
sinusoid
0.5
4
240
10
4.096593
Solve for x: 4.096592582628907x + 3 = 27 FINAL:
5.858527
5.858527
linear_solve
0
sinusoid
0.5
4
240
11
4.079335
Solve for x: 4.079335334029124x + 3 = 27 FINAL:
5.883311
5.883311
linear_solve
0
sinusoid
0.5
4
240
12
4.05
Solve for x: 4.05x + 3 = 27 FINAL:
5.925926
5.925926
linear_solve
0
sinusoid
0.5
4
240
13
4.013053
Solve for x: 4.013052619222005x + 3 = 27 FINAL:
5.980485
5.980485
linear_solve
0
sinusoid
0.5
4
240
14
3.974118
Solve for x: 3.974118095489748x + 3 = 27 FINAL:
6.039076
6.039076
linear_solve
0
sinusoid
0.5
4
240
15
3.939124
Solve for x: 3.939123857099128x + 3 = 27 FINAL:
6.092725
6.092725
linear_solve
0
sinusoid
0.5
4
240
16
3.913397
Solve for x: 3.913397459621556x + 3 = 27 FINAL:
6.132779
6.132779
linear_solve
0
sinusoid
0.5
4
240
17
3.900856
Solve for x: 3.900855513862619x + 3 = 27 FINAL:
6.152497
6.152497
linear_solve
0
sinusoid
0.5
4
240
18
3.903407
Solve for x: 3.9034074173710933x + 3 = 27 FINAL:
6.148474
6.148474
linear_solve
0
sinusoid
0.5
4
240
19
3.920665
Solve for x: 3.920664665970876x + 3 = 27 FINAL:
6.121411
6.121411
linear_solve
0
sinusoid
0.5
4
240
20
3.95
Solve for x: 3.95x + 3 = 27 FINAL:
6.075949
6.075949
linear_solve
0
sinusoid
0.5
4
240
21
3.986947
Solve for x: 3.9869473807779947x + 3 = 27 FINAL:
6.019643
6.019643
linear_solve
0
sinusoid
0.5
4
240
22
4.025882
Solve for x: 4.025881904510252x + 3 = 27 FINAL:
5.961427
5.961427
linear_solve
0
sinusoid
0.5
4
240
23
4.060876
Solve for x: 4.060876142900872x + 3 = 27 FINAL:
5.910055
5.910055
linear_solve
0
sinusoid
0.5
4
240
24
4.086603
Solve for x: 4.086602540378443x + 3 = 27 FINAL:
5.872849
5.872849
linear_solve
0
sinusoid
0.5
4
240
25
4.099144
Solve for x: 4.099144486137381x + 3 = 27 FINAL:
5.85488
5.85488
linear_solve
0
sinusoid
0.5
4
240
26
4.096593
Solve for x: 4.096592582628907x + 3 = 27 FINAL:
5.858527
5.858527
linear_solve
0
sinusoid
0.5
4
240
27
4.079335
Solve for x: 4.079335334029124x + 3 = 27 FINAL:
5.883311
5.883311
linear_solve
0
sinusoid
0.5
4
240
28
4.05
Solve for x: 4.05x + 3 = 27 FINAL:
5.925926
5.925926
linear_solve
0
sinusoid
0.5
4
240
29
4.013053
Solve for x: 4.013052619222005x + 3 = 27 FINAL:
5.980485
5.980485
linear_solve
0
sinusoid
0.5
4
240
30
3.974118
Solve for x: 3.9741180954897484x + 3 = 27 FINAL:
6.039076
6.039076
linear_solve
0
sinusoid
0.5
4
240
31
3.939124
Solve for x: 3.939123857099128x + 3 = 27 FINAL:
6.092725
6.092725