Datasets:
ai-metrology-lab
/
MathBode-LinearSystem

Dataset card Data Studio Files
xet
Community
1
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
59
76
ground_truth
float64
0.52
2.33
symbolic_baseline_answer
float64
0.52
2.33
linear_system
1
sinusoid
0.5
1
0
40
3.929289
Solve this system for x: 3.9292893218813454x + 2y = 8 1x + 3y = 9 FINAL:
0.613004
0.613004
linear_system
1
sinusoid
0.5
1
0
41
3.922699
Solve this system for x: 3.9226989546637263x + 2y = 8 1x + 3y = 9 FINAL:
0.614245
0.614245
linear_system
1
sinusoid
0.5
1
0
42
3.916853
Solve this system for x: 3.9168530387697453x + 2y = 8 1x + 3y = 9 FINAL:
0.615349
0.615349
linear_system
1
sinusoid
0.5
1
0
43
3.911808
Solve this system for x: 3.9118078735651647x + 2y = 8 1x + 3y = 9 FINAL:
0.616306
0.616306
linear_system
1
sinusoid
0.5
1
0
44
3.907612
Solve this system for x: 3.9076120467488713x + 2y = 8 1x + 3y = 9 FINAL:
0.617104
0.617104
linear_system
1
sinusoid
0.5
1
0
45
3.904306
Solve this system for x: 3.904305966426779x + 2y = 8 1x + 3y = 9 FINAL:
0.617734
0.617734
linear_system
1
sinusoid
0.5
1
0
46
3.901921
Solve this system for x: 3.901921471959677x + 2y = 8 1x + 3y = 9 FINAL:
0.618189
0.618189
linear_system
1
sinusoid
0.5
1
0
47
3.900482
Solve this system for x: 3.90048152733278x + 2y = 8 1x + 3y = 9 FINAL:
0.618465
0.618465
linear_system
1
sinusoid
0.5
1
0
48
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
1
0
49
3.900482
Solve this system for x: 3.90048152733278x + 2y = 8 1x + 3y = 9 FINAL:
0.618465
0.618465
linear_system
1
sinusoid
0.5
1
0
50
3.901921
Solve this system for x: 3.901921471959677x + 2y = 8 1x + 3y = 9 FINAL:
0.618189
0.618189
linear_system
1
sinusoid
0.5
1
0
51
3.904306
Solve this system for x: 3.904305966426779x + 2y = 8 1x + 3y = 9 FINAL:
0.617734
0.617734
linear_system
1
sinusoid
0.5
1
0
52
3.907612
Solve this system for x: 3.9076120467488713x + 2y = 8 1x + 3y = 9 FINAL:
0.617104
0.617104
linear_system
1
sinusoid
0.5
1
0
53
3.911808
Solve this system for x: 3.9118078735651647x + 2y = 8 1x + 3y = 9 FINAL:
0.616306
0.616306
linear_system
1
sinusoid
0.5
1
0
54
3.916853
Solve this system for x: 3.9168530387697453x + 2y = 8 1x + 3y = 9 FINAL:
0.615349
0.615349
linear_system
1
sinusoid
0.5
1
0
55
3.922699
Solve this system for x: 3.9226989546637263x + 2y = 8 1x + 3y = 9 FINAL:
0.614245
0.614245
linear_system
1
sinusoid
0.5
1
0
56
3.929289
Solve this system for x: 3.9292893218813454x + 2y = 8 1x + 3y = 9 FINAL:
0.613004
0.613004
linear_system
1
sinusoid
0.5
1
0
57
3.936561
Solve this system for x: 3.9365606715836354x + 2y = 8 1x + 3y = 9 FINAL:
0.611641
0.611641
linear_system
1
sinusoid
0.5
1
0
58
3.944443
Solve this system for x: 3.94444297669804x + 2y = 8 1x + 3y = 9 FINAL:
0.61017
0.61017
linear_system
1
sinusoid
0.5
1
0
59
3.95286
Solve this system for x: 3.9528603263174x + 2y = 8 1x + 3y = 9 FINAL:
0.608607
0.608607
linear_system
1
sinusoid
0.5
1
0
60
3.961732
Solve this system for x: 3.961731656763491x + 2y = 8 1x + 3y = 9 FINAL:
0.606968
0.606968
linear_system
1
sinusoid
0.5
1
0
61
3.970972
Solve this system for x: 3.970971532274554x + 2y = 8 1x + 3y = 9 FINAL:
0.605271
0.605271
linear_system
1
sinusoid
0.5
1
0
62
3.980491
Solve this system for x: 3.9804909677983873x + 2y = 8 1x + 3y = 9 FINAL:
0.603532
0.603532
linear_system
1
sinusoid
0.5
1
0
63
3.990198
Solve this system for x: 3.9901982859670437x + 2y = 8 1x + 3y = 9 FINAL:
0.60177
0.60177
linear_system
1
sinusoid
0.5
2
0
0
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
2
0
1
4.019509
Solve this system for x: 4.019509032201613x + 2y = 8 1x + 3y = 9 FINAL:
0.596509
0.596509
linear_system
1
sinusoid
0.5
2
0
2
4.038268
Solve this system for x: 4.038268343236509x + 2y = 8 1x + 3y = 9 FINAL:
0.59319
0.59319
linear_system
1
sinusoid
0.5
2
0
3
4.055557
Solve this system for x: 4.05555702330196x + 2y = 8 1x + 3y = 9 FINAL:
0.590164
0.590164
linear_system
1
sinusoid
0.5
2
0
4
4.070711
Solve this system for x: 4.070710678118655x + 2y = 8 1x + 3y = 9 FINAL:
0.587536
0.587536
linear_system
1
sinusoid
0.5
2
0
5
4.083147
Solve this system for x: 4.083146961230255x + 2y = 8 1x + 3y = 9 FINAL:
0.585398
0.585398
linear_system
1
sinusoid
0.5
2
0
6
4.092388
Solve this system for x: 4.092387953251128x + 2y = 8 1x + 3y = 9 FINAL:
0.583819
0.583819
linear_system
1
sinusoid
0.5
2
0
7
4.098079
Solve this system for x: 4.098078528040323x + 2y = 8 1x + 3y = 9 FINAL:
0.58285
0.58285
linear_system
1
sinusoid
0.5
2
0
8
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
2
0
9
4.098079
Solve this system for x: 4.098078528040323x + 2y = 8 1x + 3y = 9 FINAL:
0.58285
0.58285
linear_system
1
sinusoid
0.5
2
0
10
4.092388
Solve this system for x: 4.092387953251128x + 2y = 8 1x + 3y = 9 FINAL:
0.583819
0.583819
linear_system
1
sinusoid
0.5
2
0
11
4.083147
Solve this system for x: 4.083146961230255x + 2y = 8 1x + 3y = 9 FINAL:
0.585398
0.585398
linear_system
1
sinusoid
0.5
2
0
12
4.070711
Solve this system for x: 4.070710678118655x + 2y = 8 1x + 3y = 9 FINAL:
0.587536
0.587536
linear_system
1
sinusoid
0.5
2
0
13
4.055557
Solve this system for x: 4.05555702330196x + 2y = 8 1x + 3y = 9 FINAL:
0.590164
0.590164
linear_system
1
sinusoid
0.5
2
0
14
4.038268
Solve this system for x: 4.038268343236509x + 2y = 8 1x + 3y = 9 FINAL:
0.59319
0.59319
linear_system
1
sinusoid
0.5
2
0
15
4.019509
Solve this system for x: 4.019509032201613x + 2y = 8 1x + 3y = 9 FINAL:
0.596509
0.596509
linear_system
1
sinusoid
0.5
2
0
16
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
2
0
17
3.980491
Solve this system for x: 3.9804909677983873x + 2y = 8 1x + 3y = 9 FINAL:
0.603532
0.603532
linear_system
1
sinusoid
0.5
2
0
18
3.961732
Solve this system for x: 3.961731656763491x + 2y = 8 1x + 3y = 9 FINAL:
0.606968
0.606968
linear_system
1
sinusoid
0.5
2
0
19
3.944443
Solve this system for x: 3.94444297669804x + 2y = 8 1x + 3y = 9 FINAL:
0.61017
0.61017
linear_system
1
sinusoid
0.5
2
0
20
3.929289
Solve this system for x: 3.9292893218813454x + 2y = 8 1x + 3y = 9 FINAL:
0.613004
0.613004
linear_system
1
sinusoid
0.5
2
0
21
3.916853
Solve this system for x: 3.9168530387697453x + 2y = 8 1x + 3y = 9 FINAL:
0.615349
0.615349
linear_system
1
sinusoid
0.5
2
0
22
3.907612
Solve this system for x: 3.9076120467488713x + 2y = 8 1x + 3y = 9 FINAL:
0.617104
0.617104
linear_system
1
sinusoid
0.5
2
0
23
3.901921
Solve this system for x: 3.901921471959677x + 2y = 8 1x + 3y = 9 FINAL:
0.618189
0.618189
linear_system
1
sinusoid
0.5
2
0
24
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
2
0
25
3.901921
Solve this system for x: 3.901921471959677x + 2y = 8 1x + 3y = 9 FINAL:
0.618189
0.618189
linear_system
1
sinusoid
0.5
2
0
26
3.907612
Solve this system for x: 3.9076120467488713x + 2y = 8 1x + 3y = 9 FINAL:
0.617104
0.617104
linear_system
1
sinusoid
0.5
2
0
27
3.916853
Solve this system for x: 3.9168530387697453x + 2y = 8 1x + 3y = 9 FINAL:
0.615349
0.615349
linear_system
1
sinusoid
0.5
2
0
28
3.929289
Solve this system for x: 3.9292893218813454x + 2y = 8 1x + 3y = 9 FINAL:
0.613004
0.613004
linear_system
1
sinusoid
0.5
2
0
29
3.944443
Solve this system for x: 3.94444297669804x + 2y = 8 1x + 3y = 9 FINAL:
0.61017
0.61017
linear_system
1
sinusoid
0.5
2
0
30
3.961732
Solve this system for x: 3.961731656763491x + 2y = 8 1x + 3y = 9 FINAL:
0.606968
0.606968
linear_system
1
sinusoid
0.5
2
0
31
3.980491
Solve this system for x: 3.9804909677983873x + 2y = 8 1x + 3y = 9 FINAL:
0.603532
0.603532
linear_system
1
sinusoid
0.5
2
0
32
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
2
0
33
4.019509
Solve this system for x: 4.019509032201613x + 2y = 8 1x + 3y = 9 FINAL:
0.596509
0.596509
linear_system
1
sinusoid
0.5
2
0
34
4.038268
Solve this system for x: 4.038268343236509x + 2y = 8 1x + 3y = 9 FINAL:
0.59319
0.59319
linear_system
1
sinusoid
0.5
2
0
35
4.055557
Solve this system for x: 4.05555702330196x + 2y = 8 1x + 3y = 9 FINAL:
0.590164
0.590164
linear_system
1
sinusoid
0.5
2
0
36
4.070711
Solve this system for x: 4.070710678118655x + 2y = 8 1x + 3y = 9 FINAL:
0.587536
0.587536
linear_system
1
sinusoid
0.5
2
0
37
4.083147
Solve this system for x: 4.083146961230255x + 2y = 8 1x + 3y = 9 FINAL:
0.585398
0.585398
linear_system
1
sinusoid
0.5
2
0
38
4.092388
Solve this system for x: 4.092387953251128x + 2y = 8 1x + 3y = 9 FINAL:
0.583819
0.583819
linear_system
1
sinusoid
0.5
2
0
39
4.098079
Solve this system for x: 4.098078528040323x + 2y = 8 1x + 3y = 9 FINAL:
0.58285
0.58285
linear_system
1
sinusoid
0.5
2
0
40
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
2
0
41
4.098079
Solve this system for x: 4.098078528040323x + 2y = 8 1x + 3y = 9 FINAL:
0.58285
0.58285
linear_system
1
sinusoid
0.5
2
0
42
4.092388
Solve this system for x: 4.092387953251128x + 2y = 8 1x + 3y = 9 FINAL:
0.583819
0.583819
linear_system
1
sinusoid
0.5
2
0
43
4.083147
Solve this system for x: 4.083146961230255x + 2y = 8 1x + 3y = 9 FINAL:
0.585398
0.585398
linear_system
1
sinusoid
0.5
2
0
44
4.070711
Solve this system for x: 4.070710678118655x + 2y = 8 1x + 3y = 9 FINAL:
0.587536
0.587536
linear_system
1
sinusoid
0.5
2
0
45
4.055557
Solve this system for x: 4.055557023301961x + 2y = 8 1x + 3y = 9 FINAL:
0.590164
0.590164
linear_system
1
sinusoid
0.5
2
0
46
4.038268
Solve this system for x: 4.038268343236509x + 2y = 8 1x + 3y = 9 FINAL:
0.59319
0.59319
linear_system
1
sinusoid
0.5
2
0
47
4.019509
Solve this system for x: 4.019509032201613x + 2y = 8 1x + 3y = 9 FINAL:
0.596509
0.596509
linear_system
1
sinusoid
0.5
2
0
48
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
2
0
49
3.980491
Solve this system for x: 3.9804909677983873x + 2y = 8 1x + 3y = 9 FINAL:
0.603532
0.603532
linear_system
1
sinusoid
0.5
2
0
50
3.961732
Solve this system for x: 3.961731656763491x + 2y = 8 1x + 3y = 9 FINAL:
0.606968
0.606968
linear_system
1
sinusoid
0.5
2
0
51
3.944443
Solve this system for x: 3.94444297669804x + 2y = 8 1x + 3y = 9 FINAL:
0.61017
0.61017
linear_system
1
sinusoid
0.5
2
0
52
3.929289
Solve this system for x: 3.9292893218813454x + 2y = 8 1x + 3y = 9 FINAL:
0.613004
0.613004
linear_system
1
sinusoid
0.5
2
0
53
3.916853
Solve this system for x: 3.9168530387697453x + 2y = 8 1x + 3y = 9 FINAL:
0.615349
0.615349
linear_system
1
sinusoid
0.5
2
0
54
3.907612
Solve this system for x: 3.9076120467488713x + 2y = 8 1x + 3y = 9 FINAL:
0.617104
0.617104
linear_system
1
sinusoid
0.5
2
0
55
3.901921
Solve this system for x: 3.901921471959677x + 2y = 8 1x + 3y = 9 FINAL:
0.618189
0.618189
linear_system
1
sinusoid
0.5
2
0
56
3.9
Solve this system for x: 3.9x + 2y = 8 1x + 3y = 9 FINAL:
0.618557
0.618557
linear_system
1
sinusoid
0.5
2
0
57
3.901921
Solve this system for x: 3.901921471959677x + 2y = 8 1x + 3y = 9 FINAL:
0.618189
0.618189
linear_system
1
sinusoid
0.5
2
0
58
3.907612
Solve this system for x: 3.9076120467488713x + 2y = 8 1x + 3y = 9 FINAL:
0.617104
0.617104
linear_system
1
sinusoid
0.5
2
0
59
3.916853
Solve this system for x: 3.9168530387697453x + 2y = 8 1x + 3y = 9 FINAL:
0.615349
0.615349
linear_system
1
sinusoid
0.5
2
0
60
3.929289
Solve this system for x: 3.929289321881345x + 2y = 8 1x + 3y = 9 FINAL:
0.613004
0.613004
linear_system
1
sinusoid
0.5
2
0
61
3.944443
Solve this system for x: 3.94444297669804x + 2y = 8 1x + 3y = 9 FINAL:
0.61017
0.61017
linear_system
1
sinusoid
0.5
2
0
62
3.961732
Solve this system for x: 3.961731656763491x + 2y = 8 1x + 3y = 9 FINAL:
0.606968
0.606968
linear_system
1
sinusoid
0.5
2
0
63
3.980491
Solve this system for x: 3.9804909677983873x + 2y = 8 1x + 3y = 9 FINAL:
0.603532
0.603532
linear_system
1
sinusoid
0.5
4
0
0
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
4
0
1
4.038268
Solve this system for x: 4.038268343236509x + 2y = 8 1x + 3y = 9 FINAL:
0.59319
0.59319
linear_system
1
sinusoid
0.5
4
0
2
4.070711
Solve this system for x: 4.070710678118655x + 2y = 8 1x + 3y = 9 FINAL:
0.587536
0.587536
linear_system
1
sinusoid
0.5
4
0
3
4.092388
Solve this system for x: 4.092387953251128x + 2y = 8 1x + 3y = 9 FINAL:
0.583819
0.583819
linear_system
1
sinusoid
0.5
4
0
4
4.1
Solve this system for x: 4.1x + 2y = 8 1x + 3y = 9 FINAL:
0.582524
0.582524
linear_system
1
sinusoid
0.5
4
0
5
4.092388
Solve this system for x: 4.092387953251128x + 2y = 8 1x + 3y = 9 FINAL:
0.583819
0.583819
linear_system
1
sinusoid
0.5
4
0
6
4.070711
Solve this system for x: 4.070710678118655x + 2y = 8 1x + 3y = 9 FINAL:
0.587536
0.587536
linear_system
1
sinusoid
0.5
4
0
7
4.038268
Solve this system for x: 4.038268343236509x + 2y = 8 1x + 3y = 9 FINAL:
0.59319
0.59319
linear_system
1
sinusoid
0.5
4
0
8
4
Solve this system for x: 4.0x + 2y = 8 1x + 3y = 9 FINAL:
0.6
0.6
linear_system
1
sinusoid
0.5
4
0
9
3.961732
Solve this system for x: 3.961731656763491x + 2y = 8 1x + 3y = 9 FINAL:
0.606968
0.606968
linear_system
1
sinusoid
0.5
4
0
10
3.929289
Solve this system for x: 3.9292893218813454x + 2y = 8 1x + 3y = 9 FINAL:
0.613004
0.613004
linear_system
1
sinusoid
0.5
4
0
11
3.907612
Solve this system for x: 3.9076120467488713x + 2y = 8 1x + 3y = 9 FINAL:
0.617104
0.617104