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
| 4
| 0
| 52
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 0
| 53
| 4.092388
|
Solve this system for x:
4.092387953251128x + 1y = 10
2x + 4y = 12
FINAL:
| 1.948565
| 1.948565
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 0
| 54
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 0
| 55
| 4.038268
|
Solve this system for x:
4.038268343236509x + 1y = 10
2x + 4y = 12
FINAL:
| 1.978369
| 1.978369
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 0
| 56
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 0
| 57
| 3.961732
|
Solve this system for x:
3.961731656763491x + 1y = 10
2x + 4y = 12
FINAL:
| 2.022109
| 2.022109
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 0
| 58
| 3.929289
|
Solve this system for x:
3.9292893218813454x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 0
| 59
| 3.907612
|
Solve this system for x:
3.9076120467488713x + 1y = 10
2x + 4y = 12
FINAL:
| 2.054224
| 2.054224
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 0
| 60
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 0
| 61
| 3.907612
|
Solve this system for x:
3.9076120467488713x + 1y = 10
2x + 4y = 12
FINAL:
| 2.054224
| 2.054224
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 0
| 62
| 3.929289
|
Solve this system for x:
3.929289321881345x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 4
| 0
| 63
| 3.961732
|
Solve this system for x:
3.961731656763491x + 1y = 10
2x + 4y = 12
FINAL:
| 2.022109
| 2.022109
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 0
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 1
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 2
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 3
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 4
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 5
| 3.929289
|
Solve this system for x:
3.9292893218813454x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 6
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 7
| 3.929289
|
Solve this system for x:
3.9292893218813454x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 8
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 9
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 10
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 11
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 12
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 13
| 3.929289
|
Solve this system for x:
3.9292893218813454x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 14
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 15
| 3.929289
|
Solve this system for x:
3.929289321881345x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 16
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 17
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 18
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 19
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 20
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 21
| 3.929289
|
Solve this system for x:
3.9292893218813454x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 22
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 23
| 3.929289
|
Solve this system for x:
3.929289321881345x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 24
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 25
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 26
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 27
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 28
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 29
| 3.929289
|
Solve this system for x:
3.9292893218813454x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 30
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 31
| 3.929289
|
Solve this system for x:
3.929289321881345x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 32
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 33
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 34
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 35
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 36
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 37
| 3.929289
|
Solve this system for x:
3.9292893218813454x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 38
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 39
| 3.929289
|
Solve this system for x:
3.929289321881345x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 40
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 41
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 42
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 43
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 44
| 4
|
Solve this system for x:
4.000000000000001x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 45
| 3.929289
|
Solve this system for x:
3.9292893218813454x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 46
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 47
| 3.929289
|
Solve this system for x:
3.9292893218813454x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 48
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 49
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 50
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 51
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 52
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 53
| 3.929289
|
Solve this system for x:
3.9292893218813454x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 54
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 55
| 3.929289
|
Solve this system for x:
3.9292893218813454x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 56
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 57
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 58
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 59
| 4.070711
|
Solve this system for x:
4.070710678118655x + 1y = 10
2x + 4y = 12
FINAL:
| 1.960394
| 1.960394
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 60
| 4
|
Solve this system for x:
4.000000000000001x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 61
| 3.929289
|
Solve this system for x:
3.9292893218813454x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 62
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 8
| 0
| 63
| 3.929289
|
Solve this system for x:
3.9292893218813454x + 1y = 10
2x + 4y = 12
FINAL:
| 2.041239
| 2.041239
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 0
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 1
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 2
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 3
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 4
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 5
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 6
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 7
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 8
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 9
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 10
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 11
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 12
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 13
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 14
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 15
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 16
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 17
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 18
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 19
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 20
| 4
|
Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 21
| 4.1
|
Solve this system for x:
4.1x + 1y = 10
2x + 4y = 12
FINAL:
| 1.944444
| 1.944444
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 22
| 4
|
Solve this system for x:
4.000000000000001x + 1y = 10
2x + 4y = 12
FINAL:
| 2
| 2
|
linear_system
| 2
|
sinusoid
| 0.5
| 16
| 0
| 23
| 3.9
|
Solve this system for x:
3.9x + 1y = 10
2x + 4y = 12
FINAL:
| 2.058824
| 2.058824
|
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