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
0.5
1
120
60
4.099144
Solve this system for x: 4.099144486137381x + 1y = 10 2x + 4y = 12 FINAL:
1.944907
1.944907
linear_system
2
sinusoid
0.5
1
120
61
4.097388
Solve this system for x: 4.097387697927734x + 1y = 10 2x + 4y = 12 FINAL:
1.945856
1.945856
linear_system
2
sinusoid
0.5
1
120
62
4.094693
Solve this system for x: 4.09469301294951x + 1y = 10 2x + 4y = 12 FINAL:
1.947315
1.947315
linear_system
2
sinusoid
0.5
1
120
63
4.091086
Solve this system for x: 4.091086382492118x + 1y = 10 2x + 4y = 12 FINAL:
1.949271
1.949271
linear_system
2
sinusoid
0.5
2
120
0
4.086603
Solve this system for x: 4.086602540378444x + 1y = 10 2x + 4y = 12 FINAL:
1.951708
1.951708
linear_system
2
sinusoid
0.5
2
120
1
4.075184
Solve this system for x: 4.075183980747898x + 1y = 10 2x + 4y = 12 FINAL:
1.957941
1.957941
linear_system
2
sinusoid
0.5
2
120
2
4.060876
Solve this system for x: 4.060876142900872x + 1y = 10 2x + 4y = 12 FINAL:
1.965808
1.965808
linear_system
2
sinusoid
0.5
2
120
3
4.044229
Solve this system for x: 4.0442288690219x + 1y = 10 2x + 4y = 12 FINAL:
1.975042
1.975042
linear_system
2
sinusoid
0.5
2
120
4
4.025882
Solve this system for x: 4.0258819045102525x + 1y = 10 2x + 4y = 12 FINAL:
1.985319
1.985319
linear_system
2
sinusoid
0.5
2
120
5
4.00654
Solve this system for x: 4.006540312923014x + 1y = 10 2x + 4y = 12 FINAL:
1.99627
1.99627
linear_system
2
sinusoid
0.5
2
120
6
3.986947
Solve this system for x: 3.9869473807779947x + 1y = 10 2x + 4y = 12 FINAL:
2.007487
2.007487
linear_system
2
sinusoid
0.5
2
120
7
3.967856
Solve this system for x: 3.967856053469684x + 1y = 10 2x + 4y = 12 FINAL:
2.018538
2.018538
linear_system
2
sinusoid
0.5
2
120
8
3.95
Solve this system for x: 3.95x + 1y = 10 2x + 4y = 12 FINAL:
2.028986
2.028986
linear_system
2
sinusoid
0.5
2
120
9
3.934065
Solve this system for x: 3.9340654184899932x + 1y = 10 2x + 4y = 12 FINAL:
2.0384
2.0384
linear_system
2
sinusoid
0.5
2
120
10
3.920665
Solve this system for x: 3.9206646659708766x + 1y = 10 2x + 4y = 12 FINAL:
2.046386
2.046386
linear_system
2
sinusoid
0.5
2
120
11
3.910313
Solve this system for x: 3.9103127258467314x + 1y = 10 2x + 4y = 12 FINAL:
2.052598
2.052598
linear_system
2
sinusoid
0.5
2
120
12
3.903407
Solve this system for x: 3.9034074173710933x + 1y = 10 2x + 4y = 12 FINAL:
2.056762
2.056762
linear_system
2
sinusoid
0.5
2
120
13
3.900214
Solve this system for x: 3.9002141076761396x + 1y = 10 2x + 4y = 12 FINAL:
2.058694
2.058694
linear_system
2
sinusoid
0.5
2
120
14
3.900856
Solve this system for x: 3.900855513862619x + 1y = 10 2x + 4y = 12 FINAL:
2.058306
2.058306
linear_system
2
sinusoid
0.5
2
120
15
3.905307
Solve this system for x: 3.9053069870504893x + 1y = 10 2x + 4y = 12 FINAL:
2.055615
2.055615
linear_system
2
sinusoid
0.5
2
120
16
3.913397
Solve this system for x: 3.913397459621556x + 1y = 10 2x + 4y = 12 FINAL:
2.050743
2.050743
linear_system
2
sinusoid
0.5
2
120
17
3.924816
Solve this system for x: 3.9248160192521024x + 1y = 10 2x + 4y = 12 FINAL:
2.043905
2.043905
linear_system
2
sinusoid
0.5
2
120
18
3.939124
Solve this system for x: 3.939123857099128x + 1y = 10 2x + 4y = 12 FINAL:
2.035402
2.035402
linear_system
2
sinusoid
0.5
2
120
19
3.955771
Solve this system for x: 3.9557711309781x + 1y = 10 2x + 4y = 12 FINAL:
2.025597
2.025597
linear_system
2
sinusoid
0.5
2
120
20
3.974118
Solve this system for x: 3.974118095489748x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149
linear_system
2
sinusoid
0.5
2
120
21
3.99346
Solve this system for x: 3.9934596870769856x + 1y = 10 2x + 4y = 12 FINAL:
2.003744
2.003744
linear_system
2
sinusoid
0.5
2
120
22
4.013053
Solve this system for x: 4.013052619222005x + 1y = 10 2x + 4y = 12 FINAL:
1.992569
1.992569
linear_system
2
sinusoid
0.5
2
120
23
4.032144
Solve this system for x: 4.032143946530316x + 1y = 10 2x + 4y = 12 FINAL:
1.981799
1.981799
linear_system
2
sinusoid
0.5
2
120
24
4.05
Solve this system for x: 4.05x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
2
120
25
4.065935
Solve this system for x: 4.065934581510007x + 1y = 10 2x + 4y = 12 FINAL:
1.96302
1.96302
linear_system
2
sinusoid
0.5
2
120
26
4.079335
Solve this system for x: 4.079335334029124x + 1y = 10 2x + 4y = 12 FINAL:
1.95567
1.95567
linear_system
2
sinusoid
0.5
2
120
27
4.089687
Solve this system for x: 4.089687274153269x + 1y = 10 2x + 4y = 12 FINAL:
1.950031
1.950031
linear_system
2
sinusoid
0.5
2
120
28
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
2
120
29
4.099786
Solve this system for x: 4.09978589232386x + 1y = 10 2x + 4y = 12 FINAL:
1.94456
1.94456
linear_system
2
sinusoid
0.5
2
120
30
4.099144
Solve this system for x: 4.099144486137381x + 1y = 10 2x + 4y = 12 FINAL:
1.944907
1.944907
linear_system
2
sinusoid
0.5
2
120
31
4.094693
Solve this system for x: 4.09469301294951x + 1y = 10 2x + 4y = 12 FINAL:
1.947315
1.947315
linear_system
2
sinusoid
0.5
2
120
32
4.086603
Solve this system for x: 4.086602540378444x + 1y = 10 2x + 4y = 12 FINAL:
1.951708
1.951708
linear_system
2
sinusoid
0.5
2
120
33
4.075184
Solve this system for x: 4.075183980747898x + 1y = 10 2x + 4y = 12 FINAL:
1.957941
1.957941
linear_system
2
sinusoid
0.5
2
120
34
4.060876
Solve this system for x: 4.060876142900872x + 1y = 10 2x + 4y = 12 FINAL:
1.965808
1.965808
linear_system
2
sinusoid
0.5
2
120
35
4.044229
Solve this system for x: 4.0442288690219x + 1y = 10 2x + 4y = 12 FINAL:
1.975042
1.975042
linear_system
2
sinusoid
0.5
2
120
36
4.025882
Solve this system for x: 4.0258819045102525x + 1y = 10 2x + 4y = 12 FINAL:
1.985319
1.985319
linear_system
2
sinusoid
0.5
2
120
37
4.00654
Solve this system for x: 4.006540312923015x + 1y = 10 2x + 4y = 12 FINAL:
1.99627
1.99627
linear_system
2
sinusoid
0.5
2
120
38
3.986947
Solve this system for x: 3.986947380777995x + 1y = 10 2x + 4y = 12 FINAL:
2.007487
2.007487
linear_system
2
sinusoid
0.5
2
120
39
3.967856
Solve this system for x: 3.967856053469684x + 1y = 10 2x + 4y = 12 FINAL:
2.018538
2.018538
linear_system
2
sinusoid
0.5
2
120
40
3.95
Solve this system for x: 3.95x + 1y = 10 2x + 4y = 12 FINAL:
2.028986
2.028986
linear_system
2
sinusoid
0.5
2
120
41
3.934065
Solve this system for x: 3.9340654184899932x + 1y = 10 2x + 4y = 12 FINAL:
2.0384
2.0384
linear_system
2
sinusoid
0.5
2
120
42
3.920665
Solve this system for x: 3.9206646659708766x + 1y = 10 2x + 4y = 12 FINAL:
2.046386
2.046386
linear_system
2
sinusoid
0.5
2
120
43
3.910313
Solve this system for x: 3.9103127258467314x + 1y = 10 2x + 4y = 12 FINAL:
2.052598
2.052598
linear_system
2
sinusoid
0.5
2
120
44
3.903407
Solve this system for x: 3.9034074173710933x + 1y = 10 2x + 4y = 12 FINAL:
2.056762
2.056762
linear_system
2
sinusoid
0.5
2
120
45
3.900214
Solve this system for x: 3.9002141076761396x + 1y = 10 2x + 4y = 12 FINAL:
2.058694
2.058694
linear_system
2
sinusoid
0.5
2
120
46
3.900856
Solve this system for x: 3.900855513862619x + 1y = 10 2x + 4y = 12 FINAL:
2.058306
2.058306
linear_system
2
sinusoid
0.5
2
120
47
3.905307
Solve this system for x: 3.9053069870504893x + 1y = 10 2x + 4y = 12 FINAL:
2.055615
2.055615
linear_system
2
sinusoid
0.5
2
120
48
3.913397
Solve this system for x: 3.913397459621556x + 1y = 10 2x + 4y = 12 FINAL:
2.050743
2.050743
linear_system
2
sinusoid
0.5
2
120
49
3.924816
Solve this system for x: 3.924816019252102x + 1y = 10 2x + 4y = 12 FINAL:
2.043905
2.043905
linear_system
2
sinusoid
0.5
2
120
50
3.939124
Solve this system for x: 3.939123857099128x + 1y = 10 2x + 4y = 12 FINAL:
2.035402
2.035402
linear_system
2
sinusoid
0.5
2
120
51
3.955771
Solve this system for x: 3.9557711309781x + 1y = 10 2x + 4y = 12 FINAL:
2.025597
2.025597
linear_system
2
sinusoid
0.5
2
120
52
3.974118
Solve this system for x: 3.974118095489748x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149
linear_system
2
sinusoid
0.5
2
120
53
3.99346
Solve this system for x: 3.9934596870769856x + 1y = 10 2x + 4y = 12 FINAL:
2.003744
2.003744
linear_system
2
sinusoid
0.5
2
120
54
4.013053
Solve this system for x: 4.013052619222005x + 1y = 10 2x + 4y = 12 FINAL:
1.992569
1.992569
linear_system
2
sinusoid
0.5
2
120
55
4.032144
Solve this system for x: 4.032143946530316x + 1y = 10 2x + 4y = 12 FINAL:
1.981799
1.981799
linear_system
2
sinusoid
0.5
2
120
56
4.05
Solve this system for x: 4.05x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
2
120
57
4.065935
Solve this system for x: 4.065934581510007x + 1y = 10 2x + 4y = 12 FINAL:
1.96302
1.96302
linear_system
2
sinusoid
0.5
2
120
58
4.079335
Solve this system for x: 4.079335334029124x + 1y = 10 2x + 4y = 12 FINAL:
1.95567
1.95567
linear_system
2
sinusoid
0.5
2
120
59
4.089687
Solve this system for x: 4.089687274153269x + 1y = 10 2x + 4y = 12 FINAL:
1.950031
1.950031
linear_system
2
sinusoid
0.5
2
120
60
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
2
120
61
4.099786
Solve this system for x: 4.09978589232386x + 1y = 10 2x + 4y = 12 FINAL:
1.94456
1.94456
linear_system
2
sinusoid
0.5
2
120
62
4.099144
Solve this system for x: 4.099144486137381x + 1y = 10 2x + 4y = 12 FINAL:
1.944907
1.944907
linear_system
2
sinusoid
0.5
2
120
63
4.094693
Solve this system for x: 4.09469301294951x + 1y = 10 2x + 4y = 12 FINAL:
1.947315
1.947315
linear_system
2
sinusoid
0.5
4
120
0
4.086603
Solve this system for x: 4.086602540378444x + 1y = 10 2x + 4y = 12 FINAL:
1.951708
1.951708
linear_system
2
sinusoid
0.5
4
120
1
4.060876
Solve this system for x: 4.060876142900872x + 1y = 10 2x + 4y = 12 FINAL:
1.965808
1.965808
linear_system
2
sinusoid
0.5
4
120
2
4.025882
Solve this system for x: 4.0258819045102525x + 1y = 10 2x + 4y = 12 FINAL:
1.985319
1.985319
linear_system
2
sinusoid
0.5
4
120
3
3.986947
Solve this system for x: 3.9869473807779947x + 1y = 10 2x + 4y = 12 FINAL:
2.007487
2.007487
linear_system
2
sinusoid
0.5
4
120
4
3.95
Solve this system for x: 3.95x + 1y = 10 2x + 4y = 12 FINAL:
2.028986
2.028986
linear_system
2
sinusoid
0.5
4
120
5
3.920665
Solve this system for x: 3.9206646659708766x + 1y = 10 2x + 4y = 12 FINAL:
2.046386
2.046386
linear_system
2
sinusoid
0.5
4
120
6
3.903407
Solve this system for x: 3.9034074173710933x + 1y = 10 2x + 4y = 12 FINAL:
2.056762
2.056762
linear_system
2
sinusoid
0.5
4
120
7
3.900856
Solve this system for x: 3.900855513862619x + 1y = 10 2x + 4y = 12 FINAL:
2.058306
2.058306
linear_system
2
sinusoid
0.5
4
120
8
3.913397
Solve this system for x: 3.913397459621556x + 1y = 10 2x + 4y = 12 FINAL:
2.050743
2.050743
linear_system
2
sinusoid
0.5
4
120
9
3.939124
Solve this system for x: 3.939123857099128x + 1y = 10 2x + 4y = 12 FINAL:
2.035402
2.035402
linear_system
2
sinusoid
0.5
4
120
10
3.974118
Solve this system for x: 3.974118095489748x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149
linear_system
2
sinusoid
0.5
4
120
11
4.013053
Solve this system for x: 4.013052619222005x + 1y = 10 2x + 4y = 12 FINAL:
1.992569
1.992569
linear_system
2
sinusoid
0.5
4
120
12
4.05
Solve this system for x: 4.05x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
4
120
13
4.079335
Solve this system for x: 4.079335334029124x + 1y = 10 2x + 4y = 12 FINAL:
1.95567
1.95567
linear_system
2
sinusoid
0.5
4
120
14
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
4
120
15
4.099144
Solve this system for x: 4.099144486137381x + 1y = 10 2x + 4y = 12 FINAL:
1.944907
1.944907
linear_system
2
sinusoid
0.5
4
120
16
4.086603
Solve this system for x: 4.086602540378444x + 1y = 10 2x + 4y = 12 FINAL:
1.951708
1.951708
linear_system
2
sinusoid
0.5
4
120
17
4.060876
Solve this system for x: 4.060876142900872x + 1y = 10 2x + 4y = 12 FINAL:
1.965808
1.965808
linear_system
2
sinusoid
0.5
4
120
18
4.025882
Solve this system for x: 4.0258819045102525x + 1y = 10 2x + 4y = 12 FINAL:
1.985319
1.985319
linear_system
2
sinusoid
0.5
4
120
19
3.986947
Solve this system for x: 3.986947380777995x + 1y = 10 2x + 4y = 12 FINAL:
2.007487
2.007487
linear_system
2
sinusoid
0.5
4
120
20
3.95
Solve this system for x: 3.95x + 1y = 10 2x + 4y = 12 FINAL:
2.028986
2.028986
linear_system
2
sinusoid
0.5
4
120
21
3.920665
Solve this system for x: 3.9206646659708766x + 1y = 10 2x + 4y = 12 FINAL:
2.046386
2.046386
linear_system
2
sinusoid
0.5
4
120
22
3.903407
Solve this system for x: 3.9034074173710933x + 1y = 10 2x + 4y = 12 FINAL:
2.056762
2.056762
linear_system
2
sinusoid
0.5
4
120
23
3.900856
Solve this system for x: 3.900855513862619x + 1y = 10 2x + 4y = 12 FINAL:
2.058306
2.058306
linear_system
2
sinusoid
0.5
4
120
24
3.913397
Solve this system for x: 3.913397459621556x + 1y = 10 2x + 4y = 12 FINAL:
2.050743
2.050743
linear_system
2
sinusoid
0.5
4
120
25
3.939124
Solve this system for x: 3.939123857099128x + 1y = 10 2x + 4y = 12 FINAL:
2.035402
2.035402
linear_system
2
sinusoid
0.5
4
120
26
3.974118
Solve this system for x: 3.974118095489748x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149
linear_system
2
sinusoid
0.5
4
120
27
4.013053
Solve this system for x: 4.013052619222005x + 1y = 10 2x + 4y = 12 FINAL:
1.992569
1.992569
linear_system
2
sinusoid
0.5
4
120
28
4.05
Solve this system for x: 4.05x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
4
120
29
4.079335
Solve this system for x: 4.079335334029124x + 1y = 10 2x + 4y = 12 FINAL:
1.95567
1.95567
linear_system
2
sinusoid
0.5
4
120
30
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
4
120
31
4.099144
Solve this system for x: 4.099144486137381x + 1y = 10 2x + 4y = 12 FINAL:
1.944907
1.944907