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
2
sinusoid
2.5
2
120
36
4.12941
Solve this system for x: 4.129409522551261x + 1y = 10 2x + 4y = 12 FINAL:
1.928688
1.928688
linear_system
2
sinusoid
2.5
2
120
37
4.032702
Solve this system for x: 4.032701564615072x + 1y = 10 2x + 4y = 12 FINAL:
1.981486
1.981486
linear_system
2
sinusoid
2.5
2
120
38
3.934737
Solve this system for x: 3.934736903889975x + 1y = 10 2x + 4y = 12 FINAL:
2.038002
2.038002
linear_system
2
sinusoid
2.5
2
120
39
3.83928
Solve this system for x: 3.8392802673484194x + 1y = 10 2x + 4y = 12 FINAL:
2.09626
2.09626
linear_system
2
sinusoid
2.5
2
120
40
3.75
Solve this system for x: 3.7500000000000004x + 1y = 10 2x + 4y = 12 FINAL:
2.153846
2.153846
linear_system
2
sinusoid
2.5
2
120
41
3.670327
Solve this system for x: 3.6703270924499662x + 1y = 10 2x + 4y = 12 FINAL:
2.207974
2.207974
linear_system
2
sinusoid
2.5
2
120
42
3.603323
Solve this system for x: 3.6033233298543825x + 1y = 10 2x + 4y = 12 FINAL:
2.255646
2.255646
linear_system
2
sinusoid
2.5
2
120
43
3.551564
Solve this system for x: 3.551563629233656x + 1y = 10 2x + 4y = 12 FINAL:
2.293906
2.293906
linear_system
2
sinusoid
2.5
2
120
44
3.517037
Solve this system for x: 3.517037086855466x + 1y = 10 2x + 4y = 12 FINAL:
2.320157
2.320157
linear_system
2
sinusoid
2.5
2
120
45
3.501071
Solve this system for x: 3.501070538380698x + 1y = 10 2x + 4y = 12 FINAL:
2.332501
2.332501
linear_system
2
sinusoid
2.5
2
120
46
3.504278
Solve this system for x: 3.5042775693130945x + 1y = 10 2x + 4y = 12 FINAL:
2.330011
2.330011
linear_system
2
sinusoid
2.5
2
120
47
3.526535
Solve this system for x: 3.526534935252447x + 1y = 10 2x + 4y = 12 FINAL:
2.312876
2.312876
linear_system
2
sinusoid
2.5
2
120
48
3.566987
Solve this system for x: 3.5669872981077804x + 1y = 10 2x + 4y = 12 FINAL:
2.28237
2.28237
linear_system
2
sinusoid
2.5
2
120
49
3.62408
Solve this system for x: 3.624080096260511x + 1y = 10 2x + 4y = 12 FINAL:
2.24066
2.24066
linear_system
2
sinusoid
2.5
2
120
50
3.695619
Solve this system for x: 3.6956192854956393x + 1y = 10 2x + 4y = 12 FINAL:
2.190499
2.190499
linear_system
2
sinusoid
2.5
2
120
51
3.778856
Solve this system for x: 3.778855654890499x + 1y = 10 2x + 4y = 12 FINAL:
2.134891
2.134891
linear_system
2
sinusoid
2.5
2
120
52
3.87059
Solve this system for x: 3.8705904774487396x + 1y = 10 2x + 4y = 12 FINAL:
2.076787
2.076787
linear_system
2
sinusoid
2.5
2
120
53
3.967298
Solve this system for x: 3.967298435384928x + 1y = 10 2x + 4y = 12 FINAL:
2.018863
2.018863
linear_system
2
sinusoid
2.5
2
120
54
4.065263
Solve this system for x: 4.065263096110025x + 1y = 10 2x + 4y = 12 FINAL:
1.963389
1.963389
linear_system
2
sinusoid
2.5
2
120
55
4.16072
Solve this system for x: 4.160719732651581x + 1y = 10 2x + 4y = 12 FINAL:
1.912192
1.912192
linear_system
2
sinusoid
2.5
2
120
56
4.25
Solve this system for x: 4.249999999999999x + 1y = 10 2x + 4y = 12 FINAL:
1.866667
1.866667
linear_system
2
sinusoid
2.5
2
120
57
4.329673
Solve this system for x: 4.329672907550034x + 1y = 10 2x + 4y = 12 FINAL:
1.827832
1.827832
linear_system
2
sinusoid
2.5
2
120
58
4.396677
Solve this system for x: 4.3966766701456175x + 1y = 10 2x + 4y = 12 FINAL:
1.796403
1.796403
linear_system
2
sinusoid
2.5
2
120
59
4.448436
Solve this system for x: 4.448436370766344x + 1y = 10 2x + 4y = 12 FINAL:
1.772854
1.772854
linear_system
2
sinusoid
2.5
2
120
60
4.482963
Solve this system for x: 4.482962913144534x + 1y = 10 2x + 4y = 12 FINAL:
1.757486
1.757486
linear_system
2
sinusoid
2.5
2
120
61
4.498929
Solve this system for x: 4.498929461619301x + 1y = 10 2x + 4y = 12 FINAL:
1.750468
1.750468
linear_system
2
sinusoid
2.5
2
120
62
4.495722
Solve this system for x: 4.4957224306869055x + 1y = 10 2x + 4y = 12 FINAL:
1.751873
1.751873
linear_system
2
sinusoid
2.5
2
120
63
4.473465
Solve this system for x: 4.473465064747553x + 1y = 10 2x + 4y = 12 FINAL:
1.761687
1.761687
linear_system
2
sinusoid
2.5
4
120
0
4.433013
Solve this system for x: 4.43301270189222x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
4
120
1
4.304381
Solve this system for x: 4.304380714504361x + 1y = 10 2x + 4y = 12 FINAL:
1.839984
1.839984
linear_system
2
sinusoid
2.5
4
120
2
4.12941
Solve this system for x: 4.129409522551261x + 1y = 10 2x + 4y = 12 FINAL:
1.928688
1.928688
linear_system
2
sinusoid
2.5
4
120
3
3.934737
Solve this system for x: 3.9347369038899744x + 1y = 10 2x + 4y = 12 FINAL:
2.038002
2.038002
linear_system
2
sinusoid
2.5
4
120
4
3.75
Solve this system for x: 3.75x + 1y = 10 2x + 4y = 12 FINAL:
2.153846
2.153846
linear_system
2
sinusoid
2.5
4
120
5
3.603323
Solve this system for x: 3.6033233298543825x + 1y = 10 2x + 4y = 12 FINAL:
2.255646
2.255646
linear_system
2
sinusoid
2.5
4
120
6
3.517037
Solve this system for x: 3.5170370868554657x + 1y = 10 2x + 4y = 12 FINAL:
2.320157
2.320157
linear_system
2
sinusoid
2.5
4
120
7
3.504278
Solve this system for x: 3.5042775693130945x + 1y = 10 2x + 4y = 12 FINAL:
2.330011
2.330011
linear_system
2
sinusoid
2.5
4
120
8
3.566987
Solve this system for x: 3.5669872981077804x + 1y = 10 2x + 4y = 12 FINAL:
2.28237
2.28237
linear_system
2
sinusoid
2.5
4
120
9
3.695619
Solve this system for x: 3.6956192854956393x + 1y = 10 2x + 4y = 12 FINAL:
2.190499
2.190499
linear_system
2
sinusoid
2.5
4
120
10
3.87059
Solve this system for x: 3.8705904774487396x + 1y = 10 2x + 4y = 12 FINAL:
2.076787
2.076787
linear_system
2
sinusoid
2.5
4
120
11
4.065263
Solve this system for x: 4.065263096110026x + 1y = 10 2x + 4y = 12 FINAL:
1.963389
1.963389
linear_system
2
sinusoid
2.5
4
120
12
4.25
Solve this system for x: 4.25x + 1y = 10 2x + 4y = 12 FINAL:
1.866667
1.866667
linear_system
2
sinusoid
2.5
4
120
13
4.396677
Solve this system for x: 4.3966766701456175x + 1y = 10 2x + 4y = 12 FINAL:
1.796403
1.796403
linear_system
2
sinusoid
2.5
4
120
14
4.482963
Solve this system for x: 4.482962913144534x + 1y = 10 2x + 4y = 12 FINAL:
1.757486
1.757486
linear_system
2
sinusoid
2.5
4
120
15
4.495722
Solve this system for x: 4.4957224306869055x + 1y = 10 2x + 4y = 12 FINAL:
1.751873
1.751873
linear_system
2
sinusoid
2.5
4
120
16
4.433013
Solve this system for x: 4.43301270189222x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
4
120
17
4.304381
Solve this system for x: 4.304380714504361x + 1y = 10 2x + 4y = 12 FINAL:
1.839984
1.839984
linear_system
2
sinusoid
2.5
4
120
18
4.12941
Solve this system for x: 4.129409522551261x + 1y = 10 2x + 4y = 12 FINAL:
1.928688
1.928688
linear_system
2
sinusoid
2.5
4
120
19
3.934737
Solve this system for x: 3.934736903889975x + 1y = 10 2x + 4y = 12 FINAL:
2.038002
2.038002
linear_system
2
sinusoid
2.5
4
120
20
3.75
Solve this system for x: 3.7500000000000004x + 1y = 10 2x + 4y = 12 FINAL:
2.153846
2.153846
linear_system
2
sinusoid
2.5
4
120
21
3.603323
Solve this system for x: 3.6033233298543825x + 1y = 10 2x + 4y = 12 FINAL:
2.255646
2.255646
linear_system
2
sinusoid
2.5
4
120
22
3.517037
Solve this system for x: 3.517037086855466x + 1y = 10 2x + 4y = 12 FINAL:
2.320157
2.320157
linear_system
2
sinusoid
2.5
4
120
23
3.504278
Solve this system for x: 3.5042775693130945x + 1y = 10 2x + 4y = 12 FINAL:
2.330011
2.330011
linear_system
2
sinusoid
2.5
4
120
24
3.566987
Solve this system for x: 3.5669872981077804x + 1y = 10 2x + 4y = 12 FINAL:
2.28237
2.28237
linear_system
2
sinusoid
2.5
4
120
25
3.695619
Solve this system for x: 3.6956192854956393x + 1y = 10 2x + 4y = 12 FINAL:
2.190499
2.190499
linear_system
2
sinusoid
2.5
4
120
26
3.87059
Solve this system for x: 3.8705904774487396x + 1y = 10 2x + 4y = 12 FINAL:
2.076787
2.076787
linear_system
2
sinusoid
2.5
4
120
27
4.065263
Solve this system for x: 4.065263096110025x + 1y = 10 2x + 4y = 12 FINAL:
1.963389
1.963389
linear_system
2
sinusoid
2.5
4
120
28
4.25
Solve this system for x: 4.249999999999999x + 1y = 10 2x + 4y = 12 FINAL:
1.866667
1.866667
linear_system
2
sinusoid
2.5
4
120
29
4.396677
Solve this system for x: 4.3966766701456175x + 1y = 10 2x + 4y = 12 FINAL:
1.796403
1.796403
linear_system
2
sinusoid
2.5
4
120
30
4.482963
Solve this system for x: 4.482962913144534x + 1y = 10 2x + 4y = 12 FINAL:
1.757486
1.757486
linear_system
2
sinusoid
2.5
4
120
31
4.495722
Solve this system for x: 4.4957224306869055x + 1y = 10 2x + 4y = 12 FINAL:
1.751873
1.751873
linear_system
2
sinusoid
2.5
4
120
32
4.433013
Solve this system for x: 4.43301270189222x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
4
120
33
4.304381
Solve this system for x: 4.304380714504361x + 1y = 10 2x + 4y = 12 FINAL:
1.839984
1.839984
linear_system
2
sinusoid
2.5
4
120
34
4.12941
Solve this system for x: 4.129409522551261x + 1y = 10 2x + 4y = 12 FINAL:
1.928688
1.928688
linear_system
2
sinusoid
2.5
4
120
35
3.934737
Solve this system for x: 3.934736903889975x + 1y = 10 2x + 4y = 12 FINAL:
2.038002
2.038002
linear_system
2
sinusoid
2.5
4
120
36
3.75
Solve this system for x: 3.7500000000000004x + 1y = 10 2x + 4y = 12 FINAL:
2.153846
2.153846
linear_system
2
sinusoid
2.5
4
120
37
3.603323
Solve this system for x: 3.603323329854382x + 1y = 10 2x + 4y = 12 FINAL:
2.255646
2.255646
linear_system
2
sinusoid
2.5
4
120
38
3.517037
Solve this system for x: 3.517037086855466x + 1y = 10 2x + 4y = 12 FINAL:
2.320157
2.320157
linear_system
2
sinusoid
2.5
4
120
39
3.504278
Solve this system for x: 3.5042775693130945x + 1y = 10 2x + 4y = 12 FINAL:
2.330011
2.330011
linear_system
2
sinusoid
2.5
4
120
40
3.566987
Solve this system for x: 3.566987298107781x + 1y = 10 2x + 4y = 12 FINAL:
2.28237
2.28237
linear_system
2
sinusoid
2.5
4
120
41
3.695619
Solve this system for x: 3.6956192854956393x + 1y = 10 2x + 4y = 12 FINAL:
2.190499
2.190499
linear_system
2
sinusoid
2.5
4
120
42
3.87059
Solve this system for x: 3.87059047744874x + 1y = 10 2x + 4y = 12 FINAL:
2.076787
2.076787
linear_system
2
sinusoid
2.5
4
120
43
4.065263
Solve this system for x: 4.065263096110026x + 1y = 10 2x + 4y = 12 FINAL:
1.963389
1.963389
linear_system
2
sinusoid
2.5
4
120
44
4.25
Solve this system for x: 4.249999999999999x + 1y = 10 2x + 4y = 12 FINAL:
1.866667
1.866667
linear_system
2
sinusoid
2.5
4
120
45
4.396677
Solve this system for x: 4.3966766701456175x + 1y = 10 2x + 4y = 12 FINAL:
1.796403
1.796403
linear_system
2
sinusoid
2.5
4
120
46
4.482963
Solve this system for x: 4.482962913144534x + 1y = 10 2x + 4y = 12 FINAL:
1.757486
1.757486
linear_system
2
sinusoid
2.5
4
120
47
4.495722
Solve this system for x: 4.4957224306869055x + 1y = 10 2x + 4y = 12 FINAL:
1.751873
1.751873
linear_system
2
sinusoid
2.5
4
120
48
4.433013
Solve this system for x: 4.43301270189222x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
4
120
49
4.304381
Solve this system for x: 4.304380714504361x + 1y = 10 2x + 4y = 12 FINAL:
1.839984
1.839984
linear_system
2
sinusoid
2.5
4
120
50
4.12941
Solve this system for x: 4.12940952255126x + 1y = 10 2x + 4y = 12 FINAL:
1.928688
1.928688
linear_system
2
sinusoid
2.5
4
120
51
3.934737
Solve this system for x: 3.9347369038899744x + 1y = 10 2x + 4y = 12 FINAL:
2.038002
2.038002
linear_system
2
sinusoid
2.5
4
120
52
3.75
Solve this system for x: 3.749999999999999x + 1y = 10 2x + 4y = 12 FINAL:
2.153846
2.153846
linear_system
2
sinusoid
2.5
4
120
53
3.603323
Solve this system for x: 3.603323329854382x + 1y = 10 2x + 4y = 12 FINAL:
2.255646
2.255646
linear_system
2
sinusoid
2.5
4
120
54
3.517037
Solve this system for x: 3.517037086855466x + 1y = 10 2x + 4y = 12 FINAL:
2.320157
2.320157
linear_system
2
sinusoid
2.5
4
120
55
3.504278
Solve this system for x: 3.504277569313095x + 1y = 10 2x + 4y = 12 FINAL:
2.330011
2.330011
linear_system
2
sinusoid
2.5
4
120
56
3.566987
Solve this system for x: 3.566987298107781x + 1y = 10 2x + 4y = 12 FINAL:
2.28237
2.28237
linear_system
2
sinusoid
2.5
4
120
57
3.695619
Solve this system for x: 3.6956192854956393x + 1y = 10 2x + 4y = 12 FINAL:
2.190499
2.190499
linear_system
2
sinusoid
2.5
4
120
58
3.87059
Solve this system for x: 3.87059047744874x + 1y = 10 2x + 4y = 12 FINAL:
2.076787
2.076787
linear_system
2
sinusoid
2.5
4
120
59
4.065263
Solve this system for x: 4.065263096110026x + 1y = 10 2x + 4y = 12 FINAL:
1.963389
1.963389
linear_system
2
sinusoid
2.5
4
120
60
4.25
Solve this system for x: 4.249999999999999x + 1y = 10 2x + 4y = 12 FINAL:
1.866667
1.866667
linear_system
2
sinusoid
2.5
4
120
61
4.396677
Solve this system for x: 4.3966766701456175x + 1y = 10 2x + 4y = 12 FINAL:
1.796403
1.796403
linear_system
2
sinusoid
2.5
4
120
62
4.482963
Solve this system for x: 4.482962913144534x + 1y = 10 2x + 4y = 12 FINAL:
1.757486
1.757486
linear_system
2
sinusoid
2.5
4
120
63
4.495722
Solve this system for x: 4.4957224306869055x + 1y = 10 2x + 4y = 12 FINAL:
1.751873
1.751873
linear_system
2
sinusoid
2.5
8
120
0
4.433013
Solve this system for x: 4.43301270189222x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
8
120
1
4.12941
Solve this system for x: 4.129409522551261x + 1y = 10 2x + 4y = 12 FINAL:
1.928688
1.928688
linear_system
2
sinusoid
2.5
8
120
2
3.75
Solve this system for x: 3.75x + 1y = 10 2x + 4y = 12 FINAL:
2.153846
2.153846
linear_system
2
sinusoid
2.5
8
120
3
3.517037
Solve this system for x: 3.5170370868554657x + 1y = 10 2x + 4y = 12 FINAL:
2.320157
2.320157
linear_system
2
sinusoid
2.5
8
120
4
3.566987
Solve this system for x: 3.5669872981077804x + 1y = 10 2x + 4y = 12 FINAL:
2.28237
2.28237
linear_system
2
sinusoid
2.5
8
120
5
3.87059
Solve this system for x: 3.8705904774487396x + 1y = 10 2x + 4y = 12 FINAL:
2.076787
2.076787
linear_system
2
sinusoid
2.5
8
120
6
4.25
Solve this system for x: 4.25x + 1y = 10 2x + 4y = 12 FINAL:
1.866667
1.866667
linear_system
2
sinusoid
2.5
8
120
7
4.482963
Solve this system for x: 4.482962913144534x + 1y = 10 2x + 4y = 12 FINAL:
1.757486
1.757486