prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 11

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -3298★-1330

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.

type: compute


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 11

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 1

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -443★-434

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -25★-24

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 4

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 16

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 464★487

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 1665★3419

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 13★25

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 12

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 2

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 15

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 5

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 9

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 3

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 7★31

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -39★-1

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 130★277

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -227★-109

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 30★346

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 32★34

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 11

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 1

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -31★23

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -4★172

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 327★343

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 18

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 2

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 19

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 7

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -372★-110

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 49★50

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 14

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 12

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 11

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 16

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 3360★4190

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 426★483

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 187★270

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 2

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 17

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 151★3739

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 1442★2039

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 1699★1949

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -2180★-19

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 16

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 0★16

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 11

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -172★103

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -299★3239

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 303★390

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 13

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -2656★-1983

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 20

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 19

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -1802★1462

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 2

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -267★179

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 18

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 43★46

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 20

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 191★290

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 9

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -34★-26

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 3

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 18

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -445★39

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 1

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -1★40

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 13

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 17

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -1484★-761

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -9★-2

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 15

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -98★158

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 16

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 5

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 13

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 356★391

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -225★275

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -1799★-861

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 7

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -2★45

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 15

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -286★693

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 13

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 468★495

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 10

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 12

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -2796★3444

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -21★13

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 42★47

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 12

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 2

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Find integer pair such that a★b = 5

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 3929★4221

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute -17★-11

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.


prompt:
The operation a★b is defined as the definite integral of 2x from a to b.
Mathematically: a★b = ∫ₐᵇ 2x dx.

Compute 4198★4260

Present answer as integer(s) in [[ ]] brackets. For multiple pair answers use [[(a,b),(a,b),(a,b)]] format.