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
2
sinusoid
0.5
2
0
16
4
Solve for x: 4.0x + 2 = 18 FINAL:
4
4
linear_solve
2
sinusoid
0.5
2
0
17
3.980491
Solve for x: 3.9804909677983873x + 2 = 18 FINAL:
4.019605
4.019605
linear_solve
2
sinusoid
0.5
2
0
18
3.961732
Solve for x: 3.961731656763491x + 2 = 18 FINAL:
4.038638
4.038638
linear_solve
2
sinusoid
0.5
2
0
19
3.944443
Solve for x: 3.94444297669804x + 2 = 18 FINAL:
4.05634
4.05634
linear_solve
2
sinusoid
0.5
2
0
20
3.929289
Solve for x: 3.9292893218813454x + 2 = 18 FINAL:
4.071983
4.071983
linear_solve
2
sinusoid
0.5
2
0
21
3.916853
Solve for x: 3.9168530387697453x + 2 = 18 FINAL:
4.084912
4.084912
linear_solve
2
sinusoid
0.5
2
0
22
3.907612
Solve for x: 3.9076120467488713x + 2 = 18 FINAL:
4.094572
4.094572
linear_solve
2
sinusoid
0.5
2
0
23
3.901921
Solve for x: 3.901921471959677x + 2 = 18 FINAL:
4.100544
4.100544
linear_solve
2
sinusoid
0.5
2
0
24
3.9
Solve for x: 3.9x + 2 = 18 FINAL:
4.102564
4.102564
linear_solve
2
sinusoid
0.5
2
0
25
3.901921
Solve for x: 3.901921471959677x + 2 = 18 FINAL:
4.100544
4.100544
linear_solve
2
sinusoid
0.5
2
0
26
3.907612
Solve for x: 3.9076120467488713x + 2 = 18 FINAL:
4.094572
4.094572
linear_solve
2
sinusoid
0.5
2
0
27
3.916853
Solve for x: 3.9168530387697453x + 2 = 18 FINAL:
4.084912
4.084912
linear_solve
2
sinusoid
0.5
2
0
28
3.929289
Solve for x: 3.9292893218813454x + 2 = 18 FINAL:
4.071983
4.071983
linear_solve
2
sinusoid
0.5
2
0
29
3.944443
Solve for x: 3.94444297669804x + 2 = 18 FINAL:
4.05634
4.05634
linear_solve
2
sinusoid
0.5
2
0
30
3.961732
Solve for x: 3.961731656763491x + 2 = 18 FINAL:
4.038638
4.038638
linear_solve
2
sinusoid
0.5
2
0
31
3.980491
Solve for x: 3.9804909677983873x + 2 = 18 FINAL:
4.019605
4.019605
linear_solve
2
sinusoid
0.5
2
0
32
4
Solve for x: 4.0x + 2 = 18 FINAL:
4
4
linear_solve
2
sinusoid
0.5
2
0
33
4.019509
Solve for x: 4.019509032201613x + 2 = 18 FINAL:
3.980586
3.980586
linear_solve
2
sinusoid
0.5
2
0
34
4.038268
Solve for x: 4.038268343236509x + 2 = 18 FINAL:
3.962094
3.962094
linear_solve
2
sinusoid
0.5
2
0
35
4.055557
Solve for x: 4.05555702330196x + 2 = 18 FINAL:
3.945204
3.945204
linear_solve
2
sinusoid
0.5
2
0
36
4.070711
Solve for x: 4.070710678118655x + 2 = 18 FINAL:
3.930518
3.930518
linear_solve
2
sinusoid
0.5
2
0
37
4.083147
Solve for x: 4.083146961230255x + 2 = 18 FINAL:
3.918546
3.918546
linear_solve
2
sinusoid
0.5
2
0
38
4.092388
Solve for x: 4.092387953251128x + 2 = 18 FINAL:
3.909698
3.909698
linear_solve
2
sinusoid
0.5
2
0
39
4.098079
Solve for x: 4.098078528040323x + 2 = 18 FINAL:
3.904269
3.904269
linear_solve
2
sinusoid
0.5
2
0
40
4.1
Solve for x: 4.1x + 2 = 18 FINAL:
3.902439
3.902439
linear_solve
2
sinusoid
0.5
2
0
41
4.098079
Solve for x: 4.098078528040323x + 2 = 18 FINAL:
3.904269
3.904269
linear_solve
2
sinusoid
0.5
2
0
42
4.092388
Solve for x: 4.092387953251128x + 2 = 18 FINAL:
3.909698
3.909698
linear_solve
2
sinusoid
0.5
2
0
43
4.083147
Solve for x: 4.083146961230255x + 2 = 18 FINAL:
3.918546
3.918546
linear_solve
2
sinusoid
0.5
2
0
44
4.070711
Solve for x: 4.070710678118655x + 2 = 18 FINAL:
3.930518
3.930518
linear_solve
2
sinusoid
0.5
2
0
45
4.055557
Solve for x: 4.055557023301961x + 2 = 18 FINAL:
3.945204
3.945204
linear_solve
2
sinusoid
0.5
2
0
46
4.038268
Solve for x: 4.038268343236509x + 2 = 18 FINAL:
3.962094
3.962094
linear_solve
2
sinusoid
0.5
2
0
47
4.019509
Solve for x: 4.019509032201613x + 2 = 18 FINAL:
3.980586
3.980586
linear_solve
2
sinusoid
0.5
2
0
48
4
Solve for x: 4.0x + 2 = 18 FINAL:
4
4
linear_solve
2
sinusoid
0.5
2
0
49
3.980491
Solve for x: 3.9804909677983873x + 2 = 18 FINAL:
4.019605
4.019605
linear_solve
2
sinusoid
0.5
2
0
50
3.961732
Solve for x: 3.961731656763491x + 2 = 18 FINAL:
4.038638
4.038638
linear_solve
2
sinusoid
0.5
2
0
51
3.944443
Solve for x: 3.94444297669804x + 2 = 18 FINAL:
4.05634
4.05634
linear_solve
2
sinusoid
0.5
2
0
52
3.929289
Solve for x: 3.9292893218813454x + 2 = 18 FINAL:
4.071983
4.071983
linear_solve
2
sinusoid
0.5
2
0
53
3.916853
Solve for x: 3.9168530387697453x + 2 = 18 FINAL:
4.084912
4.084912
linear_solve
2
sinusoid
0.5
2
0
54
3.907612
Solve for x: 3.9076120467488713x + 2 = 18 FINAL:
4.094572
4.094572
linear_solve
2
sinusoid
0.5
2
0
55
3.901921
Solve for x: 3.901921471959677x + 2 = 18 FINAL:
4.100544
4.100544
linear_solve
2
sinusoid
0.5
2
0
56
3.9
Solve for x: 3.9x + 2 = 18 FINAL:
4.102564
4.102564
linear_solve
2
sinusoid
0.5
2
0
57
3.901921
Solve for x: 3.901921471959677x + 2 = 18 FINAL:
4.100544
4.100544
linear_solve
2
sinusoid
0.5
2
0
58
3.907612
Solve for x: 3.9076120467488713x + 2 = 18 FINAL:
4.094572
4.094572
linear_solve
2
sinusoid
0.5
2
0
59
3.916853
Solve for x: 3.9168530387697453x + 2 = 18 FINAL:
4.084912
4.084912
linear_solve
2
sinusoid
0.5
2
0
60
3.929289
Solve for x: 3.929289321881345x + 2 = 18 FINAL:
4.071983
4.071983
linear_solve
2
sinusoid
0.5
2
0
61
3.944443
Solve for x: 3.94444297669804x + 2 = 18 FINAL:
4.05634
4.05634
linear_solve
2
sinusoid
0.5
2
0
62
3.961732
Solve for x: 3.961731656763491x + 2 = 18 FINAL:
4.038638
4.038638
linear_solve
2
sinusoid
0.5
2
0
63
3.980491
Solve for x: 3.9804909677983873x + 2 = 18 FINAL:
4.019605
4.019605
linear_solve
2
sinusoid
0.5
4
0
0
4
Solve for x: 4.0x + 2 = 18 FINAL:
4
4
linear_solve
2
sinusoid
0.5
4
0
1
4.038268
Solve for x: 4.038268343236509x + 2 = 18 FINAL:
3.962094
3.962094
linear_solve
2
sinusoid
0.5
4
0
2
4.070711
Solve for x: 4.070710678118655x + 2 = 18 FINAL:
3.930518
3.930518
linear_solve
2
sinusoid
0.5
4
0
3
4.092388
Solve for x: 4.092387953251128x + 2 = 18 FINAL:
3.909698
3.909698
linear_solve
2
sinusoid
0.5
4
0
4
4.1
Solve for x: 4.1x + 2 = 18 FINAL:
3.902439
3.902439
linear_solve
2
sinusoid
0.5
4
0
5
4.092388
Solve for x: 4.092387953251128x + 2 = 18 FINAL:
3.909698
3.909698
linear_solve
2
sinusoid
0.5
4
0
6
4.070711
Solve for x: 4.070710678118655x + 2 = 18 FINAL:
3.930518
3.930518
linear_solve
2
sinusoid
0.5
4
0
7
4.038268
Solve for x: 4.038268343236509x + 2 = 18 FINAL:
3.962094
3.962094
linear_solve
2
sinusoid
0.5
4
0
8
4
Solve for x: 4.0x + 2 = 18 FINAL:
4
4
linear_solve
2
sinusoid
0.5
4
0
9
3.961732
Solve for x: 3.961731656763491x + 2 = 18 FINAL:
4.038638
4.038638
linear_solve
2
sinusoid
0.5
4
0
10
3.929289
Solve for x: 3.9292893218813454x + 2 = 18 FINAL:
4.071983
4.071983
linear_solve
2
sinusoid
0.5
4
0
11
3.907612
Solve for x: 3.9076120467488713x + 2 = 18 FINAL:
4.094572
4.094572
linear_solve
2
sinusoid
0.5
4
0
12
3.9
Solve for x: 3.9x + 2 = 18 FINAL:
4.102564
4.102564
linear_solve
2
sinusoid
0.5
4
0
13
3.907612
Solve for x: 3.9076120467488713x + 2 = 18 FINAL:
4.094572
4.094572
linear_solve
2
sinusoid
0.5
4
0
14
3.929289
Solve for x: 3.9292893218813454x + 2 = 18 FINAL:
4.071983
4.071983
linear_solve
2
sinusoid
0.5
4
0
15
3.961732
Solve for x: 3.961731656763491x + 2 = 18 FINAL:
4.038638
4.038638
linear_solve
2
sinusoid
0.5
4
0
16
4
Solve for x: 4.0x + 2 = 18 FINAL:
4
4
linear_solve
2
sinusoid
0.5
4
0
17
4.038268
Solve for x: 4.038268343236509x + 2 = 18 FINAL:
3.962094
3.962094
linear_solve
2
sinusoid
0.5
4
0
18
4.070711
Solve for x: 4.070710678118655x + 2 = 18 FINAL:
3.930518
3.930518
linear_solve
2
sinusoid
0.5
4
0
19
4.092388
Solve for x: 4.092387953251128x + 2 = 18 FINAL:
3.909698
3.909698
linear_solve
2
sinusoid
0.5
4
0
20
4.1
Solve for x: 4.1x + 2 = 18 FINAL:
3.902439
3.902439
linear_solve
2
sinusoid
0.5
4
0
21
4.092388
Solve for x: 4.092387953251128x + 2 = 18 FINAL:
3.909698
3.909698
linear_solve
2
sinusoid
0.5
4
0
22
4.070711
Solve for x: 4.070710678118655x + 2 = 18 FINAL:
3.930518
3.930518
linear_solve
2
sinusoid
0.5
4
0
23
4.038268
Solve for x: 4.038268343236509x + 2 = 18 FINAL:
3.962094
3.962094
linear_solve
2
sinusoid
0.5
4
0
24
4
Solve for x: 4.0x + 2 = 18 FINAL:
4
4
linear_solve
2
sinusoid
0.5
4
0
25
3.961732
Solve for x: 3.961731656763491x + 2 = 18 FINAL:
4.038638
4.038638
linear_solve
2
sinusoid
0.5
4
0
26
3.929289
Solve for x: 3.9292893218813454x + 2 = 18 FINAL:
4.071983
4.071983
linear_solve
2
sinusoid
0.5
4
0
27
3.907612
Solve for x: 3.9076120467488713x + 2 = 18 FINAL:
4.094572
4.094572
linear_solve
2
sinusoid
0.5
4
0
28
3.9
Solve for x: 3.9x + 2 = 18 FINAL:
4.102564
4.102564
linear_solve
2
sinusoid
0.5
4
0
29
3.907612
Solve for x: 3.9076120467488713x + 2 = 18 FINAL:
4.094572
4.094572
linear_solve
2
sinusoid
0.5
4
0
30
3.929289
Solve for x: 3.929289321881345x + 2 = 18 FINAL:
4.071983
4.071983
linear_solve
2
sinusoid
0.5
4
0
31
3.961732
Solve for x: 3.961731656763491x + 2 = 18 FINAL:
4.038638
4.038638
linear_solve
2
sinusoid
0.5
4
0
32
4
Solve for x: 4.0x + 2 = 18 FINAL:
4
4
linear_solve
2
sinusoid
0.5
4
0
33
4.038268
Solve for x: 4.038268343236509x + 2 = 18 FINAL:
3.962094
3.962094
linear_solve
2
sinusoid
0.5
4
0
34
4.070711
Solve for x: 4.070710678118655x + 2 = 18 FINAL:
3.930518
3.930518
linear_solve
2
sinusoid
0.5
4
0
35
4.092388
Solve for x: 4.092387953251128x + 2 = 18 FINAL:
3.909698
3.909698
linear_solve
2
sinusoid
0.5
4
0
36
4.1
Solve for x: 4.1x + 2 = 18 FINAL:
3.902439
3.902439
linear_solve
2
sinusoid
0.5
4
0
37
4.092388
Solve for x: 4.092387953251128x + 2 = 18 FINAL:
3.909698
3.909698
linear_solve
2
sinusoid
0.5
4
0
38
4.070711
Solve for x: 4.070710678118655x + 2 = 18 FINAL:
3.930518
3.930518
linear_solve
2
sinusoid
0.5
4
0
39
4.038268
Solve for x: 4.038268343236509x + 2 = 18 FINAL:
3.962094
3.962094
linear_solve
2
sinusoid
0.5
4
0
40
4
Solve for x: 4.0x + 2 = 18 FINAL:
4
4
linear_solve
2
sinusoid
0.5
4
0
41
3.961732
Solve for x: 3.961731656763491x + 2 = 18 FINAL:
4.038638
4.038638
linear_solve
2
sinusoid
0.5
4
0
42
3.929289
Solve for x: 3.9292893218813454x + 2 = 18 FINAL:
4.071983
4.071983
linear_solve
2
sinusoid
0.5
4
0
43
3.907612
Solve for x: 3.9076120467488713x + 2 = 18 FINAL:
4.094572
4.094572
linear_solve
2
sinusoid
0.5
4
0
44
3.9
Solve for x: 3.9x + 2 = 18 FINAL:
4.102564
4.102564
linear_solve
2
sinusoid
0.5
4
0
45
3.907612
Solve for x: 3.9076120467488713x + 2 = 18 FINAL:
4.094572
4.094572
linear_solve
2
sinusoid
0.5
4
0
46
3.929289
Solve for x: 3.929289321881345x + 2 = 18 FINAL:
4.071983
4.071983
linear_solve
2
sinusoid
0.5
4
0
47
3.961732
Solve for x: 3.961731656763491x + 2 = 18 FINAL:
4.038638
4.038638
linear_solve
2
sinusoid
0.5
4
0
48
4
Solve for x: 4.0x + 2 = 18 FINAL:
4
4
linear_solve
2
sinusoid
0.5
4
0
49
4.038268
Solve for x: 4.038268343236509x + 2 = 18 FINAL:
3.962094
3.962094
linear_solve
2
sinusoid
0.5
4
0
50
4.070711
Solve for x: 4.070710678118655x + 2 = 18 FINAL:
3.930518
3.930518
linear_solve
2
sinusoid
0.5
4
0
51
4.092388
Solve for x: 4.092387953251128x + 2 = 18 FINAL:
3.909698
3.909698