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
1
sinusoid
2.5
2
0
16
4
Solve for x: 4.0x + 5 = 41 FINAL:
9
9
linear_solve
1
sinusoid
2.5
2
0
17
3.902455
Solve for x: 3.902454838991936x + 5 = 41 FINAL:
9.224963
9.224963
linear_solve
1
sinusoid
2.5
2
0
18
3.808658
Solve for x: 3.808658283817455x + 5 = 41 FINAL:
9.452148
9.452148
linear_solve
1
sinusoid
2.5
2
0
19
3.722215
Solve for x: 3.722214883490199x + 5 = 41 FINAL:
9.671661
9.671661
linear_solve
1
sinusoid
2.5
2
0
20
3.646447
Solve for x: 3.646446609406726x + 5 = 41 FINAL:
9.872625
9.872625
linear_solve
1
sinusoid
2.5
2
0
21
3.584265
Solve for x: 3.5842651938487275x + 5 = 41 FINAL:
10.0439
10.0439
linear_solve
1
sinusoid
2.5
2
0
22
3.53806
Solve for x: 3.538060233744357x + 5 = 41 FINAL:
10.175067
10.175067
linear_solve
1
sinusoid
2.5
2
0
23
3.509607
Solve for x: 3.509607359798385x + 5 = 41 FINAL:
10.257558
10.257558
linear_solve
1
sinusoid
2.5
2
0
24
3.5
Solve for x: 3.5x + 5 = 41 FINAL:
10.285714
10.285714
linear_solve
1
sinusoid
2.5
2
0
25
3.509607
Solve for x: 3.509607359798385x + 5 = 41 FINAL:
10.257558
10.257558
linear_solve
1
sinusoid
2.5
2
0
26
3.53806
Solve for x: 3.5380602337443565x + 5 = 41 FINAL:
10.175067
10.175067
linear_solve
1
sinusoid
2.5
2
0
27
3.584265
Solve for x: 3.584265193848727x + 5 = 41 FINAL:
10.0439
10.0439
linear_solve
1
sinusoid
2.5
2
0
28
3.646447
Solve for x: 3.646446609406726x + 5 = 41 FINAL:
9.872625
9.872625
linear_solve
1
sinusoid
2.5
2
0
29
3.722215
Solve for x: 3.722214883490199x + 5 = 41 FINAL:
9.671661
9.671661
linear_solve
1
sinusoid
2.5
2
0
30
3.808658
Solve for x: 3.8086582838174547x + 5 = 41 FINAL:
9.452148
9.452148
linear_solve
1
sinusoid
2.5
2
0
31
3.902455
Solve for x: 3.9024548389919356x + 5 = 41 FINAL:
9.224963
9.224963
linear_solve
1
sinusoid
2.5
2
0
32
4
Solve for x: 4.0x + 5 = 41 FINAL:
9
9
linear_solve
1
sinusoid
2.5
2
0
33
4.097545
Solve for x: 4.097545161008064x + 5 = 41 FINAL:
8.785748
8.785748
linear_solve
1
sinusoid
2.5
2
0
34
4.191342
Solve for x: 4.191341716182545x + 5 = 41 FINAL:
8.589135
8.589135
linear_solve
1
sinusoid
2.5
2
0
35
4.277785
Solve for x: 4.277785116509801x + 5 = 41 FINAL:
8.41557
8.41557
linear_solve
1
sinusoid
2.5
2
0
36
4.353553
Solve for x: 4.353553390593274x + 5 = 41 FINAL:
8.269107
8.269107
linear_solve
1
sinusoid
2.5
2
0
37
4.415735
Solve for x: 4.4157348061512725x + 5 = 41 FINAL:
8.152664
8.152664
linear_solve
1
sinusoid
2.5
2
0
38
4.46194
Solve for x: 4.461939766255643x + 5 = 41 FINAL:
8.06824
8.06824
linear_solve
1
sinusoid
2.5
2
0
39
4.490393
Solve for x: 4.490392640201615x + 5 = 41 FINAL:
8.017116
8.017116
linear_solve
1
sinusoid
2.5
2
0
40
4.5
Solve for x: 4.5x + 5 = 41 FINAL:
8
8
linear_solve
1
sinusoid
2.5
2
0
41
4.490393
Solve for x: 4.490392640201615x + 5 = 41 FINAL:
8.017116
8.017116
linear_solve
1
sinusoid
2.5
2
0
42
4.46194
Solve for x: 4.461939766255643x + 5 = 41 FINAL:
8.06824
8.06824
linear_solve
1
sinusoid
2.5
2
0
43
4.415735
Solve for x: 4.4157348061512725x + 5 = 41 FINAL:
8.152664
8.152664
linear_solve
1
sinusoid
2.5
2
0
44
4.353553
Solve for x: 4.353553390593274x + 5 = 41 FINAL:
8.269107
8.269107
linear_solve
1
sinusoid
2.5
2
0
45
4.277785
Solve for x: 4.2777851165098015x + 5 = 41 FINAL:
8.41557
8.41557
linear_solve
1
sinusoid
2.5
2
0
46
4.191342
Solve for x: 4.191341716182546x + 5 = 41 FINAL:
8.589135
8.589135
linear_solve
1
sinusoid
2.5
2
0
47
4.097545
Solve for x: 4.097545161008064x + 5 = 41 FINAL:
8.785748
8.785748
linear_solve
1
sinusoid
2.5
2
0
48
4
Solve for x: 4.0x + 5 = 41 FINAL:
9
9
linear_solve
1
sinusoid
2.5
2
0
49
3.902455
Solve for x: 3.9024548389919365x + 5 = 41 FINAL:
9.224963
9.224963
linear_solve
1
sinusoid
2.5
2
0
50
3.808658
Solve for x: 3.808658283817455x + 5 = 41 FINAL:
9.452148
9.452148
linear_solve
1
sinusoid
2.5
2
0
51
3.722215
Solve for x: 3.7222148834901994x + 5 = 41 FINAL:
9.671661
9.671661
linear_solve
1
sinusoid
2.5
2
0
52
3.646447
Solve for x: 3.646446609406726x + 5 = 41 FINAL:
9.872625
9.872625
linear_solve
1
sinusoid
2.5
2
0
53
3.584265
Solve for x: 3.5842651938487275x + 5 = 41 FINAL:
10.0439
10.0439
linear_solve
1
sinusoid
2.5
2
0
54
3.53806
Solve for x: 3.538060233744357x + 5 = 41 FINAL:
10.175067
10.175067
linear_solve
1
sinusoid
2.5
2
0
55
3.509607
Solve for x: 3.509607359798385x + 5 = 41 FINAL:
10.257558
10.257558
linear_solve
1
sinusoid
2.5
2
0
56
3.5
Solve for x: 3.5x + 5 = 41 FINAL:
10.285714
10.285714
linear_solve
1
sinusoid
2.5
2
0
57
3.509607
Solve for x: 3.509607359798385x + 5 = 41 FINAL:
10.257558
10.257558
linear_solve
1
sinusoid
2.5
2
0
58
3.53806
Solve for x: 3.5380602337443565x + 5 = 41 FINAL:
10.175067
10.175067
linear_solve
1
sinusoid
2.5
2
0
59
3.584265
Solve for x: 3.584265193848727x + 5 = 41 FINAL:
10.0439
10.0439
linear_solve
1
sinusoid
2.5
2
0
60
3.646447
Solve for x: 3.6464466094067256x + 5 = 41 FINAL:
9.872625
9.872625
linear_solve
1
sinusoid
2.5
2
0
61
3.722215
Solve for x: 3.722214883490199x + 5 = 41 FINAL:
9.671661
9.671661
linear_solve
1
sinusoid
2.5
2
0
62
3.808658
Solve for x: 3.8086582838174547x + 5 = 41 FINAL:
9.452148
9.452148
linear_solve
1
sinusoid
2.5
2
0
63
3.902455
Solve for x: 3.902454838991936x + 5 = 41 FINAL:
9.224963
9.224963
linear_solve
1
sinusoid
2.5
4
0
0
4
Solve for x: 4.0x + 5 = 41 FINAL:
9
9
linear_solve
1
sinusoid
2.5
4
0
1
4.191342
Solve for x: 4.191341716182545x + 5 = 41 FINAL:
8.589135
8.589135
linear_solve
1
sinusoid
2.5
4
0
2
4.353553
Solve for x: 4.353553390593274x + 5 = 41 FINAL:
8.269107
8.269107
linear_solve
1
sinusoid
2.5
4
0
3
4.46194
Solve for x: 4.461939766255643x + 5 = 41 FINAL:
8.06824
8.06824
linear_solve
1
sinusoid
2.5
4
0
4
4.5
Solve for x: 4.5x + 5 = 41 FINAL:
8
8
linear_solve
1
sinusoid
2.5
4
0
5
4.46194
Solve for x: 4.461939766255643x + 5 = 41 FINAL:
8.06824
8.06824
linear_solve
1
sinusoid
2.5
4
0
6
4.353553
Solve for x: 4.353553390593274x + 5 = 41 FINAL:
8.269107
8.269107
linear_solve
1
sinusoid
2.5
4
0
7
4.191342
Solve for x: 4.191341716182545x + 5 = 41 FINAL:
8.589135
8.589135
linear_solve
1
sinusoid
2.5
4
0
8
4
Solve for x: 4.0x + 5 = 41 FINAL:
9
9
linear_solve
1
sinusoid
2.5
4
0
9
3.808658
Solve for x: 3.808658283817455x + 5 = 41 FINAL:
9.452148
9.452148
linear_solve
1
sinusoid
2.5
4
0
10
3.646447
Solve for x: 3.646446609406726x + 5 = 41 FINAL:
9.872625
9.872625
linear_solve
1
sinusoid
2.5
4
0
11
3.53806
Solve for x: 3.538060233744357x + 5 = 41 FINAL:
10.175067
10.175067
linear_solve
1
sinusoid
2.5
4
0
12
3.5
Solve for x: 3.5x + 5 = 41 FINAL:
10.285714
10.285714
linear_solve
1
sinusoid
2.5
4
0
13
3.53806
Solve for x: 3.5380602337443565x + 5 = 41 FINAL:
10.175067
10.175067
linear_solve
1
sinusoid
2.5
4
0
14
3.646447
Solve for x: 3.646446609406726x + 5 = 41 FINAL:
9.872625
9.872625
linear_solve
1
sinusoid
2.5
4
0
15
3.808658
Solve for x: 3.8086582838174547x + 5 = 41 FINAL:
9.452148
9.452148
linear_solve
1
sinusoid
2.5
4
0
16
4
Solve for x: 4.0x + 5 = 41 FINAL:
9
9
linear_solve
1
sinusoid
2.5
4
0
17
4.191342
Solve for x: 4.191341716182545x + 5 = 41 FINAL:
8.589135
8.589135
linear_solve
1
sinusoid
2.5
4
0
18
4.353553
Solve for x: 4.353553390593274x + 5 = 41 FINAL:
8.269107
8.269107
linear_solve
1
sinusoid
2.5
4
0
19
4.46194
Solve for x: 4.461939766255643x + 5 = 41 FINAL:
8.06824
8.06824
linear_solve
1
sinusoid
2.5
4
0
20
4.5
Solve for x: 4.5x + 5 = 41 FINAL:
8
8
linear_solve
1
sinusoid
2.5
4
0
21
4.46194
Solve for x: 4.461939766255643x + 5 = 41 FINAL:
8.06824
8.06824
linear_solve
1
sinusoid
2.5
4
0
22
4.353553
Solve for x: 4.353553390593274x + 5 = 41 FINAL:
8.269107
8.269107
linear_solve
1
sinusoid
2.5
4
0
23
4.191342
Solve for x: 4.191341716182546x + 5 = 41 FINAL:
8.589135
8.589135
linear_solve
1
sinusoid
2.5
4
0
24
4
Solve for x: 4.0x + 5 = 41 FINAL:
9
9
linear_solve
1
sinusoid
2.5
4
0
25
3.808658
Solve for x: 3.808658283817455x + 5 = 41 FINAL:
9.452148
9.452148
linear_solve
1
sinusoid
2.5
4
0
26
3.646447
Solve for x: 3.646446609406726x + 5 = 41 FINAL:
9.872625
9.872625
linear_solve
1
sinusoid
2.5
4
0
27
3.53806
Solve for x: 3.538060233744357x + 5 = 41 FINAL:
10.175067
10.175067
linear_solve
1
sinusoid
2.5
4
0
28
3.5
Solve for x: 3.5x + 5 = 41 FINAL:
10.285714
10.285714
linear_solve
1
sinusoid
2.5
4
0
29
3.53806
Solve for x: 3.5380602337443565x + 5 = 41 FINAL:
10.175067
10.175067
linear_solve
1
sinusoid
2.5
4
0
30
3.646447
Solve for x: 3.6464466094067256x + 5 = 41 FINAL:
9.872625
9.872625
linear_solve
1
sinusoid
2.5
4
0
31
3.808658
Solve for x: 3.8086582838174547x + 5 = 41 FINAL:
9.452148
9.452148
linear_solve
1
sinusoid
2.5
4
0
32
4
Solve for x: 3.9999999999999996x + 5 = 41 FINAL:
9
9
linear_solve
1
sinusoid
2.5
4
0
33
4.191342
Solve for x: 4.191341716182545x + 5 = 41 FINAL:
8.589135
8.589135
linear_solve
1
sinusoid
2.5
4
0
34
4.353553
Solve for x: 4.353553390593274x + 5 = 41 FINAL:
8.269107
8.269107
linear_solve
1
sinusoid
2.5
4
0
35
4.46194
Solve for x: 4.461939766255643x + 5 = 41 FINAL:
8.06824
8.06824
linear_solve
1
sinusoid
2.5
4
0
36
4.5
Solve for x: 4.5x + 5 = 41 FINAL:
8
8
linear_solve
1
sinusoid
2.5
4
0
37
4.46194
Solve for x: 4.461939766255643x + 5 = 41 FINAL:
8.06824
8.06824
linear_solve
1
sinusoid
2.5
4
0
38
4.353553
Solve for x: 4.353553390593274x + 5 = 41 FINAL:
8.269107
8.269107
linear_solve
1
sinusoid
2.5
4
0
39
4.191342
Solve for x: 4.191341716182546x + 5 = 41 FINAL:
8.589135
8.589135
linear_solve
1
sinusoid
2.5
4
0
40
4
Solve for x: 4.0x + 5 = 41 FINAL:
9
9
linear_solve
1
sinusoid
2.5
4
0
41
3.808658
Solve for x: 3.808658283817456x + 5 = 41 FINAL:
9.452148
9.452148
linear_solve
1
sinusoid
2.5
4
0
42
3.646447
Solve for x: 3.646446609406726x + 5 = 41 FINAL:
9.872625
9.872625
linear_solve
1
sinusoid
2.5
4
0
43
3.53806
Solve for x: 3.538060233744357x + 5 = 41 FINAL:
10.175067
10.175067
linear_solve
1
sinusoid
2.5
4
0
44
3.5
Solve for x: 3.5x + 5 = 41 FINAL:
10.285714
10.285714
linear_solve
1
sinusoid
2.5
4
0
45
3.53806
Solve for x: 3.5380602337443565x + 5 = 41 FINAL:
10.175067
10.175067
linear_solve
1
sinusoid
2.5
4
0
46
3.646447
Solve for x: 3.6464466094067256x + 5 = 41 FINAL:
9.872625
9.872625
linear_solve
1
sinusoid
2.5
4
0
47
3.808658
Solve for x: 3.808658283817455x + 5 = 41 FINAL:
9.452148
9.452148
linear_solve
1
sinusoid
2.5
4
0
48
4
Solve for x: 3.9999999999999996x + 5 = 41 FINAL:
9
9
linear_solve
1
sinusoid
2.5
4
0
49
4.191342
Solve for x: 4.191341716182544x + 5 = 41 FINAL:
8.589135
8.589135
linear_solve
1
sinusoid
2.5
4
0
50
4.353553
Solve for x: 4.353553390593274x + 5 = 41 FINAL:
8.269107
8.269107
linear_solve
1
sinusoid
2.5
4
0
51
4.46194
Solve for x: 4.461939766255643x + 5 = 41 FINAL:
8.06824
8.06824