// THIS IS THE ORIGINAL FILE - USE THIS.
// -------------------------------------------------------------------------
// Arithmetic Operators - 1 operator - ALL DONE
// ----------
// Correctness
//    Addition, Multiplication
//       integers
//       real
//       mixed-mode: integers & reals
//    Subtraction
//       integers
//          small - large, large - small, equal
//       real
//          small - large, large - small, equal
//       mixed-mode: integers & reals
//    Division
//       integers
//          large / small, small / large, 
//       real numbers
//          large / small, small / large, 
//       mixed-mode: integers & reals
//    Modulus
//       integers
//          large op small, small op large, equal op equal
//       real - error

# 101
Arithmetic.+.Correct
>
<R1#integer;2<=R1<=5;#> + <R2#integer;2<=R2<=5;#>
// 4 + 5
>
Type: expression
Hardness: 10

# 102
Arithmetic.*.Correct
>
<R1#integer;2<=R1<=5;#> * <R2#integer;2<=R2<=5;#>
// 3 * 4
>
Type: expression
Hardness: 10

# 103
Arithmetic.+.Correct
>
2.5 + 1.5
>
Type: expression
Hardness: 10

# 104
Arithmetic.*.Correct
>
2.5 * 2.0 
>
Type: expression
Hardness: 10

# 105
Arithmetic.+.{Correct,Coercion}
>
<R1#integer;2<=R1<=5;#> + 5.5
// 3 + 5.5
>
Type: expression
Hardness: 20

# 106
Arithmetic.*.{Correct,Coercion}
>
3.5 * <R1#integer;2<=R1<=4;#>
// 3.5 * 2
>
Type: expression
Hardness: 20

# 107
Arithmetic.-.Correct
>
<R1#integer;2<=R1<=5;#> - <R2#integer;6<=R2<=9;#>
// 4 - 7
>
Type: expression
Hardness: 10

# 108
Arithmetic.-.Correct
>
<R1#integer;6<=R1<=9;#> - <R2#integer;2<=R2<=5;#>
// 8 - 5
>
Type: expression
Hardness: 10

# 109
Arithmetic.-.Correct
>
<R1#integer;6<=R1<=9;#> - <R1>
// 6 - 6
>
Type: expression
Hardness: 10

# 110
Arithmetic.-.Correct
>
5.5 - 3.0
>
Type: expression
Hardness: 10

// # 111
// Arithmetic.-.Correct
// >
// 2.0 - 4.5
// >
// Type: expression
// Hardness: 10

// # 112
// Arithmetic.-.Correct
// >
// 4.0 - 4.0
// >
// Type: expression
// Hardness: 10

# 113
Arithmetic.-.{Correct,Coercion}
>
<R1#integer;6<=R1<=9;#> - 3.5 
// 7 - 3.5
>
Type: expression
Hardness: 20

// # 114
// Arithmetic.-.Correct
// ?
// Arithmetic.-.Coercion
// >
// 4.5 - <R1#integer;5<=R1<=9;#>
// // 4.5 - 6
// // <R1#integer;2<=R1<=5;#> - 6.5
// // 4 - 6.5
// >
// Type: expression
// Hardness: 20

// # 115
// Arithmetic.-.Correct
// ?
// Arithmetic.-.Coercion
// >
// 8 - 8.0
// >
// Type: expression
// Hardness: 20

# 116
Arithmetic./.Integer.Correct
>
7 / 4
>
Type: expression
Hardness: 20

# 117
Arithmetic./.Integer.Correct
>
3 / 6
>
Type: expression
Hardness: 20

# 118
Arithmetic./.Real.Correct
>
6.0 / 4.0
>
Type: expression
Hardness: 20

# 119
Arithmetic./.Real.Correct
>
4.0 / 8.0
>
Type: expression
Hardness: 20

# 120
Arithmetic./.{Real.Correct,Coercion}
>
6.0 / 4
>
Type: expression
Hardness: 20

# 121
Arithmetic./.{Real.Correct,Coercion}
>
2.0 / 4
>
Type: expression
Hardness: 20

# 122
Arithmetic.%.Correct
>
<R1#integer;6<=R1<=9;#> % 5
// 7 % 4
>
Type: expression
Hardness: 20

# 123
Arithmetic.%.Correct
>
<R1#integer;2<=R1<=5;#> % <R2#integer;6<=R2<=9;#>
// 4 % 7
>
Type: expression
Hardness: 20

# 124
Arithmetic.%.Correct
>
<R1#integer;4<=R1<=9;#> % <R1>
// 6 % 6
>
Type: expression
Hardness: 20

# 125
Arithmetic.%.Real
>
<R1#float;5<=R1<=9;#> % <R2#integer;2<=R2<=4;#>
// 5.0 % 2
>
Type: expression
Hardness: 30

# 126
Arithmetic.-.Correct
>
<R1#integer;6<=R1<=9;#> - <R2#integer;-5<=R2<=-2;#>
// 8 - -5
>
Type: expression
Hardness: 15

# 127
Arithmetic.-.Correct
>
<R1#integer;-5<=R1<=-2;#> - <R2#integer;6<=R2<=9;#>
// -5 - 7
>
Type: expression
Hardness: 15

# 128
Arithmetic.-.Correct
>
<R1#integer;-5<=R1<=-2;#> - <R2#integer;-9<=R2<=-6;#>
// -5 - -9
>
Type: expression
Hardness: 15


# 131
Arithmetic./.Dividing By Zero
>
<R1#integer;5<=R1<=9;#> / 0 
// 8 / 0
>
Type: expression
Hardness: 15

# 132
Arithmetic.%.Dividing By Zero
>
<R1#integer;3<=R1<=9;#> % 0 
// 5 % 0
>
Type: expression
Hardness: 15


# 133
Arithmetic.%.Real
>
<R1#float;2<=R1<=5;#> % <R2#integer;6<=R2<=9;#>
// 2.5 % 6
>
Type: expression
Hardness: 30

# 134
Arithmetic.%.Real
>
<R1#integer;2<=R1<=5;#> % <R2#float;6<=R2<=9;#>
// 2 % 6.5
>
Type: expression
Hardness: 30

# 135
Arithmetic.%.Dividing By Zero
>
<R1#float;2<=R1<=9;#> % 0
// 2.5 % 0
>
Type: expression
Hardness: 30

# 136
Arithmetic.%.Dividing By Zero
>
<R1#integer;2<=R1<=9;#> % 0
// 2 % 0
>
Type: expression
Hardness: 30



# 137
Arithmetic.%.Real
>
0 % <R1#float;2<=R1<=9;#> 
// 0 % 2.5
>
Type: expression
Hardness: 30

# 138
Arithmetic.%.Correct
>
0 % <R1#integer;2<=R1<=9;#> 
// 0 % 2
>
Type: expression
Hardness: 30


# 139
Arithmetic./.Real.Correct
>
0 / <R1#float;2<=R1<=9;#> 
>
Type: expression
Hardness: 20

# 140
Arithmetic./.Integer.Correct
>
0 / <R1#integer;2<=R1<=9;#> 
>
Type: expression
Hardness: 20


// Templates for VISUAL BASIC
# 141
Arithmetic.^.Correct
>
<R1#integer;2<=R1<=9;#> ^ 2
>
Type: expression
Hardness: 30

# 142
Arithmetic.^.Correct
>
<R1#integer;2<=R1<=5;#> ^ <R2#integer;2<=R2<=4;#>
>
Type: expression
Hardness: 30

# 143
Arithmetic.^.Correct
>
<R1#integer;2<=R1<=9;#> ^ 0
>
Type: expression
Hardness: 30

# 144
Arithmetic.^.Correct
>
<R1#integer;2<=R1<=9;#> ^ 1
>
Type: expression
Hardness: 30

# 145
Arithmetic.^.Correct
>
<R1#integer;4<=R1<=5;#> ^ -1
>
Type: expression
Hardness: 30

// --------------------------------------------------------------------------------
// Introduced to promote understanding of coercion
// Note that using real numbers with fractions does not teach
// coercion, we need whole real numbers such as 7.0 and 9.0

# 151
Arithmetic.+.{Correct,Coercion}
>
<R1#integer;6<=R1<=9;#> + 3.0
// <R1#integer;6<=R1<=9;#> + <R2#float;2<=R2<=5;#>
// 7 + 3.0
>
Type: expression
Hardness: 30

# 152
Arithmetic.+.{Correct,Coercion}
>
5.0 + <R2#integer;6<=R2<=9;#>
// <R1#float;2<=R1<=5;#> + <R2#integer;6<=R2<=9;#>
// 3.0 + 7
>
Type: expression
Hardness: 30

# 153
Arithmetic.+.{Correct,Associativity,Coercion}
>
5.0 + <R2#integer;2<=R2<=5;#> + <R3#integer;2<=R3<=5;#>
// <R1#float;2<=R1<=5;#> + <R2#integer;2<=R2<=5;#> + <R3#integer;2<=R3<=5;#>
// 4.3 + 5 + 3
>
Type: expression
Hardness: 30

# 154
Arithmetic.+.{Correct,Associativity,Coercion}
>
<R1#integer;2<=R1<=5;#> + 4.0 + <R3#integer;2<=R3<=5;#>
// <R1#integer;2<=R1<=5;#> + <R2#float;2<=R2<=5;#> + <R3#integer;2<=R3<=5;#>
// 4 + 5.3 + 3
>
Type: expression
Hardness: 30

# 155
Arithmetic.+.{Correct,Associativity,Coercion}
>
<R1#integer;2<=R1<=5;#> + <R2#integer;2<=R2<=5;#> + 2.0
// <R1#integer;2<=R1<=5;#> + <R2#integer;2<=R2<=5;#> + <R3#float;2<=R3<=5;#> 
// 4 + 3 + 5.3
>
Type: expression
Hardness: 30

# 156
Arithmetic.-.{Correct,Coercion}
>
<R1#integer;6<=R1<=9;#> - 5.0
// <R1#integer;6<=R1<=9;#> - <R2#float;2<=R2<=5;#>
// 8 - 5.5
>
Type: expression
Hardness: 30

# 157
Arithmetic.-.{Correct,Coercion}
>
9.0 - <R2#integer;2<=R2<=5;#>
// <R1#float;6<=R1<=9;#> - <R2#integer;2<=R2<=5;#>
// 7.3 - 5
>
Type: expression
Hardness: 30

# 158
Arithmetic.-.{Correct,Associativity,Coercion}
>
13.0 - <R2#integer;2<=R2<=5;#> - <R3#integer;2<=R3<=5;#>
// <R1#float;10<=R1<=15;#> - <R2#integer;2<=R2<=5;#> - <R3#integer;2<=R3<=5;#>
// 12.3 - 5 - 3
>
Type: expression
Hardness: 30

# 159
Arithmetic.-.{Correct,Associativity,Coercion}
>
<R1#integer;10<=R1<=15;#> - 3.0 - <R3#integer;2<=R3<=5;#>
// <R1#integer;10<=R1<=15;#> - <R2#float;2<=R2<=5;#> - <R3#integer;2<=R3<=5;#>
// 13 - 3.3 - 3
>
Type: expression
Hardness: 30

# 160
Arithmetic.-.{Correct,Associativity,Coercion}
>
<R1#integer;10<=R1<=15;#> - <R2#integer;2<=R2<=5;#> - 5.0
// <R1#integer;10<=R1<=15;#> - <R2#integer;2<=R2<=5;#> - <R3#float;2<=R3<=5;#> 
// 14 - 3 - 2.3
>
Type: expression
Hardness: 30


# 161
Arithmetic.*.{Correct,Coercion}
>
<R1#integer;2<=R1<=5;#> * 3.0
// <R1#integer;2<=R1<=5;#> * <R2#float;2<=R2<=5;#>
// 5 * 4.5
>
Type: expression
Hardness: 30

# 162
Arithmetic.*.{Correct,Coercion}
>
5.0 * <R2#integer;2<=R2<=5;#>
// <R1#float;2<=R1<=5;#> * <R2#integer;2<=R2<=5;#>
// 3.3 * 5
>
Type: expression
Hardness: 30

# 163
Arithmetic.*.{Correct,Associativity,Coercion}
>
2.0 * <R2#integer;2<=R2<=4;#> * <R3#integer;2<=R3<=4;#>
// <R1#float;2<=R1<=4;#> * <R2#integer;2<=R2<=4;#> * <R3#integer;2<=R3<=4;#>
// 2.3 * 2 * 3
>
Type: expression
Hardness: 30

# 164
Arithmetic.*.{Correct,Associativity,Coercion}
>
<R1#integer;2<=R1<=4;#> * 2.0 * <R3#integer;2<=R3<=4;#>
// <R1#integer;2<=R1<=4;#> * <R2#float;2<=R2<=4;#> * <R3#integer;2<=R3<=4;#>
// 3 * 2.3 * 3
>
Type: expression
Hardness: 30

# 165
Arithmetic.*.{Correct,Associativity,Coercion}
>
<R1#integer;2<=R1<=4;#> * <R2#integer;2<=R2<=4;#> * 1.0
// <R1#integer;2<=R1<=4;#> * <R2#integer;2<=R2<=4;#> * <R3#float;2<=R3<=4;#> 
// 4 * 3 * 2.3
>
Type: expression
Hardness: 30



# 166
Arithmetic./.{Real.Correct,Coercion}
>
<R1#integer;2<=R1<=12;#> / 2.0
// 8 / 2.0
>
Type: expression
Hardness: 30

# 167
Arithmetic./.{Real.Correct,Coercion}
>
12.0 / <R1#integer;2<=R1<=5;#>
// 12.0 / 5
>
Type: expression
Hardness: 30

# 168
Arithmetic./.{Real.Correct,Associativity,Coercion}
>
24.0 / <R1#integer;2<=R1<=4;#> / 2
// 24.0 / 3 / 2
>
Type: expression
Hardness: 30

# 169
Arithmetic./.{Real.Correct,Associativity,Coercion}
>
20 / 2.0 / <R1#integer;4<=R1<=5;#>
// 12 / 2.0 / 5
>
Type: expression
Hardness: 30

# 170
Arithmetic./.{Integer.Correct,Real.Correct,Associativity,Coercion}
>
<R1#integer;6<=R1<=9;#> / <R2#integer;2<=R2<=4;#> / 2.0
// 7 / 3 / 2.0
>
Type: expression
Hardness: 30



// -------------------------------------------------------------------------
// Precedence - Two Operators only - ALL DONE
// + *, + / (both int and real), + %
// - *, - / (both int and real), - %
// Error for modulus

# 200
Arithmetic.{+.Precedence,*.Precedence}
>
// <R1#integer;2<=R1<=5;#> + <R2#integer;2<=R2<=5;#> * <R3#integer;2<=R3<=5;#>
3 + 4 * 5
>
Type: expression
Hardness: 30

# 201
Arithmetic.{+.Precedence,*.Precedence}
>
<R1#integer;2<=R1<=5;#> + <R2#integer;2<=R2<=5;#> * <R3#integer;2<=R3<=5;#>
// 3 + 4 * 5
>
Type: expression
Hardness: 30

# 202
Arithmetic.{+.Precedence,*.Precedence}
>
4.0 + <R1#integer;5<=R1<=6;#> * <R2#integer;2<=R2<=4;#>
// 4.0 + 6 * 3
>
Type: expression
Hardness: 40

# 203
Arithmetic.{+.Precedence,/.Precedence}
>
<R1#integer;5<=R1<=7;#> + <R2#integer;7<=R2<=11;#> / 6
// 6 + 7 / 3
>
Type: expression
Hardness: 30

# 204
Arithmetic.{+.Precedence,/.Precedence}
>
<R1#integer;5<=R1<=8;#> + 7.0 / 4.0
// 5 + 7.0 / 4.0
>
Type: expression
Hardness: 40

# 205
Arithmetic.{+.Precedence,/.Precedence}
>
<R1#integer;2<=R1<=5;#> + 4.0 / 8
// 4 + 4.0 / 8
>
Type: expression
Hardness: 40

# 206
Arithmetic.{+.Precedence,/.Precedence}
>
3.5 + 7 / 4
>
Type: expression
Hardness: 40

# 207
Arithmetic.{+.Precedence,%.Precedence}
>
<R1#integer;2<=R1<=5;#> + <R2#integer;6<=R2<=9;#> % 5
// 3 + 7 % 4
>
Type: expression
Hardness: 30

# 208
Arithmetic.{+.Precedence,%.Precedence}
>
<R1#float;2<=R1<=9;#> + <R2#integer;2<=R2<=5;#> % <R3#integer;6<=R3<=9;#> 
// 4.0 + 3 % 8
>
Type: expression
Hardness: 40

# 209
Arithmetic.{-.Precedence,*.Precedence}
>
<R1#integer;5<=R1<=9;#> - <R2#integer;2<=R2<=3;#> * <R3#integer;5<=R3<=6;#>
// 8 - 2 * 5
>
Type: expression
Hardness: 30

# 210
Arithmetic.{-.Precedence,*.Precedence}
>
<R1#integer;5<=R1<=9;#> - 0.5 * <R2#integer;2<=R2<=8;#>
// 7 - 1.5 * 2
>
Type: expression
Hardness: 40

# 211
Arithmetic.{-.Precedence,/.Precedence}
>
<R1#integer;5<=R1<=9;#> - 4 / 3
// 7 - 4 / 3
>
Type: expression
Hardness: 30

# 212
Arithmetic.{-.Precedence,/.Precedence}
>
<R1#integer;5<=R1<=9;#> - 6 / 4.0
// 9 - 6 / 4.0
>
Type: expression
Hardness: 40

# 213
Arithmetic.{-.Precedence,/.Precedence}
>
<R1#integer;5<=R1<=9;#> - 2.0 / 8.0
// 7 - 2.0 / 8.0
>
Type: expression
Hardness: 40

# 214
Arithmetic.{-.Precedence,/.Precedence}
>
8.5 - 4 / 6
>
Type: expression
Hardness: 40

# 215
Arithmetic.{-.Precedence,%.Precedence}
>
<R1#integer;6<=R1<=9;#> - <R2#integer;2<=R2<=5;#> % <R3#integer;6<=R3<=9;#> 
// 9 - 4 % 6
>
Type: expression
Hardness: 30

# 216
Arithmetic.{-.Precedence,%.Precedence}
>
<R1#float;6<=R1<=9;#> - <R2#integer;7<=R2<=11;#> % 6
// 8.5 - 8 % 3
>
Type: expression
Hardness: 40

# 217
Arithmetic.%.Real
?
Arithmetic.{%.Precedence,+.Precedence}
>
<R1#integer;5<=R1<=9;#> + 6.0 % 6
// 5 + 6.0 % 6
>
Type: expression
Hardness: 30

# 218
Arithmetic.%.Real
?
Arithmetic.{%.Precedence,+.Precedence}
>
<R1#integer;5<=R1<=9;#> + <R2#integer;2<=R2<=5;#> % <R3#float;6<=R3<=9;#> 
// 8 + 4 % 8.0
>
Type: expression
Hardness: 30

# 219
Arithmetic.%.Real
?
Arithmetic.{%.Precedence,-.Precedence}
>
<R1#integer;5<=R1<=9;#> - <R2#integer;2<=R2<=5;#> % <R3#float;6<=R3<=9;#> 
// 9 - 4 % 6.5
>
Type: expression
Hardness: 30

# 220
Arithmetic.%.Real
?
Arithmetic.{%.Precedence,-.Precedence}
>
<R1#integer;5<=R1<=9;#> - <R2#float;6<=R2<=9;#> % <R3#integer;2<=R3<=5;#>
// 7 - 9.0 % 2
>
Type: expression
Hardness: 30

// -------------------------------------------------------------------------
// Associativity - 2 operators- ALL DONE
// + + +
// - - - 
// * * *
// / / /
// % % %
// WHAT ABOUT + -, * /, / %, * %? - Add these!!!!!!!!!!!!!!!!!!

# 300
Arithmetic.{+.Associativity,-.Associativity}
>
<R1#integer;2<=R1<=5;#> + <R2#integer;2<=R2<=5;#> - <R3#integer;2<=R3<=5;#>
// 3 + 4 - 5
>
Type: expression
Hardness: 50

# 301
Arithmetic.+.Associativity
>
<R1#integer;2<=R1<=5;#> + <R2#integer;2<=R2<=5;#> + <R3#integer;2<=R3<=5;#>
// 3 + 4 + 5
>
Type: expression
Hardness: 50

# 302
Arithmetic.+.Associativity
>
<R1#integer;2<=R1<=5;#> + <R2#integer;2<=R2<=5;#> + 3.0
// 2 + 5 + 3.0
>
Type: expression
Hardness: 50

# 303
Arithmetic.-.Associativity
>
<R1#integer;8<=R1<=9;#> - <R2#integer;2<=R2<=5;#> - 2.0
// 9 - 5 - 2.0
>
Type: expression
Hardness: 50

# 304
Arithmetic.-.Associativity
>
<R1#integer;8<=R1<=9;#> - 3.0 - <R2#integer;2<=R2<=4;#>
// 11 - 3.0 - 6
>
Type: expression
Hardness: 50

# 305
Arithmetic.*.Associativity
>
2 * <R1#integer;2<=R1<=4;#> * 1.5
// 2 * 3 * 1.5
>
Type: expression
Hardness: 50

# 306
Arithmetic.*.Associativity
>
<R1#integer;2<=R1<=5;#> * 1.5 * 2
// 4 * 1.5 * 2
>
Type: expression
Hardness: 50

# 307
Arithmetic./.Associativity
>
12 / 2 / 2
>
Type: expression
Hardness: 50

# 308
Arithmetic./.Associativity
>
16 / 8 / 4
>
Type: expression
Hardness: 50

# 309
Arithmetic./.Associativity
>
10 / 2.5 / 2
>
Type: expression
Hardness: 50

# 310
Arithmetic./.Associativity
?
Arithmetic./.Integer.Correct
>
9 / 3 / 2.0
>
Type: expression
Hardness: 50

# 311
Arithmetic.%.Associativity
>
<R1#integer;7<=R1<=9;#> % <R2#integer;5<=R2<=6;#> % <R3#integer;2<=R3<=4;#>
// 9 % 5 % 2
>
Type: expression
Hardness: 50

# 312
Arithmetic.%.Associativity
>
<R1#integer;10<=R1<=11;#> % <R2#integer;6<=R2<=9;#> % <R3#integer;2<=R3<=4;#>
// 10 % 6 % 3
>
Type: expression
Hardness: 50

# 313
Arithmetic.%.Real
?
Arithmetic.%.Associativity
>
<R1#integer;10<=R1<=15;#> % <R2#integer;2<=R2<=5;#> % <R3#float;5<=R3<=9;#>
// 10 % 4 % 6.0
>
Type: expression
Hardness: 50

# 314
Arithmetic.%.Real
>
<R1#integer;2<=R1<=5;#> % <R2#float;6<=R2<=9;#> % <R3#integer;6<=R3<=9;#>
// 4 % 6.0 % 6
>
Type: expression
Hardness: 50

# 315
Arithmetic.%.Real
>
<R1#float;10<=R1<=15;#> % <R2#integer;5<=R2<=9;#> % <R3#integer;2<=R3<=5;#>
// 15.0 % 5 % 4
>
Type: expression
Hardness: 50

# 321
Arithmetic./.Dividing By Zero
>
<R1#integer;2<=R1<=4;#> * <R2#integer;2<=R2<=4;#> / 0
// 4 * 2 / 0
>
Type: expression
Hardness: 20

# 322
Arithmetic./.Dividing By Zero
>
<R1#integer;6<=R1<=9;#> / <R2#integer;2<=R2<=5;#> / 0
// 9 / 3 / 0
>
Type: expression
Hardness: 20

# 323
Arithmetic./.Dividing By Zero
>
<R1#integer;6<=R1<=9;#> % <R2#integer;2<=R2<=5;#> / 0
// 8 % 5 / 0
>
Type: expression
Hardness: 20

# 331
Arithmetic.%.Dividing By Zero
>
<R1#integer;2<=R1<=5;#> * <R2#integer;2<=R2<=5;#> % 0
// 5 * 3 % 0
>
Type: expression
Hardness: 20

# 332
Arithmetic.%.Dividing By Zero
>
<R1#integer;6<=R1<=9;#> / <R2#integer;2<=R2<=4;#> % 0
// 6 / 4 % 0
>
Type: expression
Hardness: 20

# 333
Arithmetic.%.Dividing By Zero
>
<R1#integer;6<=R1<=9;#> % <R2#integer;4<=R2<=6;#> % 0
// 9 % 6 % 0
>
Type: expression
Hardness: 20

// -------------------------------------------------------------------------
// Precedence & Associativity - 3 Operators - ALL DONE
// + + * (int), + * + (real)
// * + *
// + + / (int), + / + (real)
// / + /
// + + % (int), + % +
// % + %
// - - * (int), - * - (real)
// * - *
// - - / (int), - / - (real)
// / - /
// - - % (int), - % -
// % - %
// % with errors
// / + %, / - %
// / + *, / - *
// * + %, * - %
// Divide by Zero errors

# 401
Arithmetic.{*.Precedence,+.{Precedence,Associativity}}
>
<R1#integer;-9<=R1<=-6;#> + <R2#integer;2<=R2<=5;#> + <R3#integer;2<=R3<=4;#> * <R4#integer;2<=R4<=4;#>
// -8 + 5 + 2 * 3
>
Type: expression
Hardness: 40

# 402
Arithmetic.{*.Precedence,+.{Precedence,Associativity}}
>
0.5 + <R1#integer;2<=R1<=4;#> * 2.5 + <R2#integer;2<=R2<=4;#>
// 0.5 + 4 * 2.5 + 2
>
Type: expression
Hardness: 50

# 403
Arithmetic.{+.Precedence,*.{Precedence,Associativity}}
>
<R1#integer;2<=R1<=4;#> * <R2#integer;2<=R2<=4;#> + <R1> * 1.5
// 2 * 4 + 2 * 1.5
>
Type: expression
Hardness: 50

# 404
Arithmetic.{/.Precedence,+.{Precedence,Associativity}}
>
<R1#integer;-9<=R1<=-6;#> + <R2#integer;2<=R2<=5;#> + <R3#integer;6<=R3<=9;#> / 5
// -6 + 4 + 8 / 5
>
Type: expression
Hardness: 40

# 405
Arithmetic.{/.Precedence,+.{Precedence,Associativity}}
>
<R1#integer;2<=R1<=5;#> + 4.5 + <R2#integer;7<=R2<=8;#> / 3 
// 3 + 4.5 + 8 / 3
>
Type: expression
Hardness: 50

# 406
Arithmetic.{/.Precedence,+.{Precedence,Associativity}}
>
<R1#integer;2<=R1<=5;#> + 6 / 4.0 + 0.8
// 3 + 6 / 4.0 + 0.8
>
Type: expression
Hardness: 50

# 407
Arithmetic.{+.Precedence,/.{Precedence,Associativity}}
>
10 / 4 + 10.0 / 4.0
>
Type: expression
Hardness: 50

# 408
Arithmetic.{%.Precedence,+.{Precedence,Associativity}}
>
<R1#integer;-9<=R1<=-6;#> + <R2#integer;2<=R2<=5;#> + <R3#integer;5<=R3<=7;#> % 4
// -8 + 3 + 7 % 4
>
Type: expression
Hardness: 40

# 409
Arithmetic.{%.Precedence,+.{Precedence,Associativity}}
>
<R1#integer;2<=R1<=5;#> + <R2#integer;9<=R2<=13;#> % <R3#integer;7<=R3<=8;#> + <R4#integer;2<=R4<=5;#>
// 3 + 15 % 7 + 5
>
Type: expression
Hardness: 40

# 410
Arithmetic.{+.Precedence,%.{Precedence,Associativity}}
>
10 % <R1#integer;3<=R1<=4;#> + <R1> % 10
// 10 % 3 + 3 % 10
>
Type: expression
Hardness: 50

# 411
Arithmetic.%.Real
>
<R1#integer;6<=R1<=9;#> + <R2#integer;2<=R2<=5;#> + <R3#float;6<=R3<=9;#> % <R4#integer;2<=R4<=5;#>
// 6 + 2 + 8.0 % 4.0
>
Type: expression
Hardness: 60

// This template is tricky: in C# and Java, 10 % 10.0 = 0.0, 
// interface accepts 0 or 0.0, but subsequent calculations suffer
// coercion, which the user may not realize
# 412
Arithmetic.%.Real
>
// <R1#integer;2<=R1<=5;#> + 10 % 10.0 + <R1>
<R1#float;2<=R1<=5;#> + 10 % 10.0 + <R1>
// 4.2 + 10 % 10.0 + 4.2
>
Type: expression
Hardness: 60

# 413
Arithmetic.%.Real
>
<R1#integer;11<=R1<=15;#> % <R2#integer;5<=R2<=9;#> + <R2> % <R3#float;11<=R3<=15;#>
// 12 % 5 + 5 % 12.0
>
Type: expression
Hardness: 60

# 414
Arithmetic.{*.Precedence,-.{Precedence,Associativity}}
>
<R1#integer;2<=R1<=5;#> - <R2#integer;2<=R2<=5;#> - <R1> * <R2>
// 2 - 4 - 2 * 4
>
Type: expression
Hardness: 40

// # 415
// Arithmetic.{*.Precedence,-.{Precedence,Associativity}}
// >
// <R1#float;7<=R1<=8;#> - <R2#integer;2<=R2<=3;#> * <R3#integer;2<=R3<=3;#> - <R4#float;2<=R4<=4;#>
// // 4.5 - 4 * 2 - 2.5
// >
// Type: expression
// Hardness: 50

# 416
Arithmetic.{-.Precedence,*.{Precedence,Associativity}}
>
2.5 * 4 - 4.5 * 2
>
Type: expression
Hardness: 50

# 417
Arithmetic.{/.Precedence,-.{Precedence,Associativity}}
>
<R1#integer;6<=R1<=9;#> - 5 - <R1> / 5
// 9 - 5 - 9 / 5
>
Type: expression
Hardness: 40

// # 418
// Arithmetic.{/.Precedence,-.{Precedence,Associativity}}
// >
// <R1#integer;2<=R1<=5;#> - 3 / 1.5 - 3.5
// // 4 - 3 / 1.5 - 3.5
// >
// Type: expression
// Hardness: 50

# 419
Arithmetic.{-.Precedence,/.{Precedence,Associativity}}
>
<R1#integer;2<=R1<=4;#> / <R2#integer;7<=R2<=9;#> - <R2> / <R1>
// 4 / 9 - 9 / 4 
>
Type: expression
Hardness: 50

# 420
Arithmetic.{-.Precedence,/.{Precedence,Associativity}}
>
<R1#integer;6<=R1<=9;#> / 5.0 - <R1> / 5
// 8 / 5.0 - 8 / 5
// <R1#integer;6<=R1<=9;#> / 5 - <R1> / 5.0
// 8 / 5 - 8 / 5.0
>
Type: expression
Hardness: 50

# 421
Arithmetic.{-.Precedence,/.{Precedence,Associativity}}
>
15.0 / 6.0 - 15 / 6 
>
Type: expression
Hardness: 50

# 422
Arithmetic.{-.{Precedence,Associativity},%.Precedence}
>
<R1#integer;2<=R1<=5;#> - <R2#integer;6<=R2<=9;#> - <R1> % <R2>
// 2 - 6 - 2 % 6
>
Type: expression
Hardness: 40

# 423
Arithmetic.{-.{Precedence,Associativity},%.Precedence}
>
<R1#integer;6<=R1<=7;#> - <R1> % <R2#integer;4<=R2<=5;#> - <R2>
// 7 - 7 % 4 - 4
>
Type: expression
Hardness: 40

# 424
Arithmetic.{-.Precedence,%.{Precedence,Associativity}}
>
<R1#integer;7<=R1<=9;#> % <R2#integer;5<=R2<=6;#> - <R2> % <R1>
// 9 % 5 - 5 % 9
>
Type: expression
Hardness: 50

# 425
Arithmetic.%.Real
>
<R2#float;5<=R2<=9;#> - <R1#integer;2<=R1<=5;#> + <R1> % <R2>
// 6 - 4.0 + 4 % 6.0
>
Type: expression
Hardness: 60

# 426
Arithmetic.%.Real
>
<R1#integer;6<=R1<=9;#> - <R2#float;5<=R2<=9;#> % <R3#integer;2<=R3<=5;#> + <R4#integer;2<=R4<=5;#>
// 8 - 5.5 % 2 + 3
>
Type: expression
Hardness: 60

# 427
Arithmetic.%.Real
>
<R1#integer;5<=R1<=7;#> % 8.0 - 8 % <R1>
// 5 % 8.0 - 8 % 5
>
Type: expression
Hardness: 60

# 428
Arithmetic.{/.{Precedence,Associativity},%.{Precedence,Associativity},+.Precedence}
>
<R1#integer;2<=R1<=5;#> / <R2#integer;6<=R2<=9;#> + <R1> % <R2>
// 3 / 6 + 3 % 6
>
Type: expression
Hardness: 50

# 429
Arithmetic.{/.{Precedence,Associativity},%.{Precedence,Associativity},-.Precedence}
>
<R1#integer;7<=R1<=9;#> / <R2#integer;5<=R2<=6;#> - <R1> % <R2>
// 8 / 5 - 8 % 5
>
Type: expression
Hardness: 50

# 430
Arithmetic.{/.{Precedence,Associativity},%.{Precedence,Associativity},-.Precedence}
>
<R1#integer;4<=R1<=9;#> % <R1> - <R1> / <R1>
// 6 % 6 - 6 / 6
>
Type: expression
Hardness: 50

// # 431
// Arithmetic.{/.{Precedence,Associativity},%.{Precedence,Associativity},-.Precedence}
// >
// <R1#integer;6<=R1<=10;#> / 4.0 - <R1> % 4
// // 10 / 4.0 - 10 % 4
// >
// Type: expression
// Hardness: 50

# 432
Arithmetic.%.Real
>
<R1#integer;7<=R1<=9;#> % 5.0  - <R1> / 5.0
// 9 % 5.0  - 9 / 5.0
>
Type: expression
Hardness: 60

# 433
Arithmetic.{/.{Precedence,Associativity},*.{Correct,Precedence,Associativity},+.Precedence}
>
5 / <R1#integer;2<=R1<=4;#> + <R1> * 5
// 5 / 3 + 3 * 5
>
Type: expression
Hardness: 40

# 434
Arithmetic.{/.{Real.Correct,Precedence,Associativity},*.{Precedence,Associativity},-.Precedence}
>
15 / 1.5 - <R1#integer;2<=R1<=3;#> * <R2#integer;2<=R2<=3;#>
// 15 / 1.5 - 2 * 2
// 10 / 2.5 - 4 * 2
>
Type: expression
Hardness: 50

# 435
Arithmetic.{/.{Precedence,Associativity},*.{Precedence,Associativity},+.Precedence}
>
<R1#integer;4<=R1<=9;#> / <R1> + <R1> * <R1>
// 5 / 5 + 5 * 5
>
Type: expression
Hardness: 40

# 436
Arithmetic.{*.{Precedence,Associativity},%.{Precedence,Associativity},+.Precedence}
>
<R1#integer;3<=R1<=7;#> * <R1> + <R1> % <R1>
// 3 * 3 + 3 % 3
>
Type: expression
Hardness: 40

# 437
Arithmetic.{*.{Precedence,Associativity},%.{Precedence,Associativity},-.Precedence}
>
<R1#integer;3<=R1<=7;#> % <R1> - <R1> * <R1>
// 7 % 7 - 7 * 7
>
Type: expression
Hardness: 50

# 438
Arithmetic.{*.{Precedence,Associativity},%.{Precedence,Associativity},-.Precedence}
>
<R1#integer;2<=R1<=5;#> * 0 - <R2#integer;10<=R2<=15;#> % <R1>
// 5 * 0 - 15 % 5 
>
Type: expression
Hardness: 50

# 439
Arithmetic.%.Real
>
<R1#integer;2<=R1<=5;#> * <R2#integer;2<=R2<=5;#> + <R3#integer;2<=R3<=5;#> % <R4#float;6<=R4<=9;#>
// 2 * 3 + 4 % 6.5
>
Type: expression
Hardness: 60

# 440
Arithmetic.{/.{Precedence,Associativity},-.Precedence}
>
<R1#integer;6<=R1<=9;#> / <R2#integer;2<=R2<=5;#> - <R3#integer;2<=R3<=5;#> / 0
// 7 / 3 - 5 / 0
>
Type: expression
Hardness: 50

# 441
Arithmetic.%.Dividing By Zero
>
<R1#integer;7<=R1<=9;#> - <R2#integer;4<=R2<=6;#> - <R3#integer;2<=R3<=4;#> % 0
// 8 - 6 - 4 % 0
>
Type: expression
Hardness: 60

# 442
Arithmetic.%.Real
>
<R1#integer;2<=R1<=5;#> * <R2#integer;2<=R2<=5;#> / 2.0 % <R1>
// 2 * 3 / 2.0 % 2
>
Type: expression
Hardness: 60

# 443
Arithmetic.{+.Precedence,/.{Precedence,Associativity,Coercion}}
>
<R1#integer;4<=R1<=10;#> / 2.0 + 12.0 / <R2#integer;2<=R2<=4;#> 
// 6 / 2.0 + 12.0 / 3
>
Type: expression
Hardness: 50

// -------------------------------------------------------------------------
// Precedence & Associativity - 4 or more Operators - 
// + / - *
// * - % +
// + / - %
// * - / - %
// % + / + *

# 500
Arithmetic.{+.Precedence,-.Precedence,*.Precedence,/.Precedence}
>
<R1#integer;2<=R1<=5;#> + <R2#integer;10<=R2<=11;#> / <R3#integer;3<=R3<=4;#> - <R4#integer;2<=R4<=5;#> * <R5#integer;2<=R5<=5;#>
// 3 + 10 / 4 - 2 * 3
>
Type: expression
Hardness: 60

# 501
Arithmetic.{+.Precedence,-.Precedence,*.Precedence,/.Precedence}
>
<R1#integer;2<=R1<=4;#> * <R2#integer;3<=R2<=5;#> - <R3#integer;10<=R3<=15;#> % <R4#integer;2<=R4<=5;#> + <R5#integer;2<=R5<=5;#>
// 3 * 4 - 10 % 3 + 3
>
Type: expression
Hardness: 60

# 502
Arithmetic.{+.Precedence,-.Precedence,*.Precedence,/.Precedence}
>
<R1#integer;2<=R1<=5;#> + <R2#integer;10<=R2<=11;#> / <R3#integer;3<=R3<=4;#> - <R2> % <R3>
// 3 + 10 / 4 - 10 % 4
>
Type: expression
Hardness: 60

# 503
Arithmetic.{+.Precedence,-.Precedence,*.Precedence,/.Precedence}
>
<R1#integer;2<=R1<=4;#> * <R2#integer;3<=R2<=5;#> - <R3#integer;8<=R3<=12;#> / <R4#integer;2<=R4<=5;#> - <R5#integer;10<=R5<=15;#> % <R6#integer;2<=R6<=5;#>
// 3 * 4 - 8 / 4 - 13 % 4
>
Type: expression
Hardness: 60

# 504
Arithmetic.{+.Precedence,-.Precedence,*.Precedence,/.Precedence}
>
<R1#integer;10<=R1<=20;#> % <R2#integer;5<=R2<=9;#> + <R3#integer;8<=R3<=14;#> / <R4#integer;2<=R4<=4;#> + <R5#integer;2<=R5<=4;#> * <R6#integer;3<=R6<=5;#>
// 16 % 7 + 12 / 3 + 4 * 5
>
Type: expression
Hardness: 60

// #  998
// Arithmetic
// >
// {<T1><V1>=<R1>;<V1> * 5 + <V1> % 5;}
// >
// Type: expression
// Hardness: 60

// #  999
// Arithmetic
// >
// 3 * 4 - -5 / 2 <= 10 % 3
// >
// Type: expression
// Hardness: 60


// --------------------------------------------------------------------------
// Expressions with parentheses
// Parenthesis is an operator.
// It affects the precedence and associativy of the other operators in an expression.
// By itself, it has no meaning, it has meaning only in the context of other operators.
// Therefore, Parenthesis will be treated as:
// Arithmetic.Parenthesis, Assignment.Parenthesis, etc.
// even though this is duplicative..
// This should be understood as:
// Arithmetic.Parenthesis.Precedence - how parenthesis affects the precedence of arithmetic operators
// Arithmetic.Parenthesis.Associativity - how parenthesis affects the associativity of arithmetic operators

// --------------------------------------------------------------------------
// Arithmetic.Parenthesis.Precedence - 600
// Parenthesis always encloses LOWER precedence operator,
//    preferably the second or third operator

# 600
Arithmetic.Parenthesis.Precedence
>
<R1#integer;2<=R1<=5;#> * (<R2#integer;2<=R2<=5;#> + <R3#integer;2<=R3<=5;#>)
// 3 * (4 + 5)
>
Type: expression
Hardness: 20

# 601
Arithmetic.Parenthesis.Precedence
>
<R1#integer;6<=R1<=9;#> - (<R2#integer;6<=R2<=9;#> -  <R3#integer;2<=R3<=5;#>)
// 9 - (6 - 2)
>
Type: expression
Hardness: 20

# 602
Arithmetic.{Parenthesis.Precedence,-.Correct}
>
<R1#integer;6<=R1<=9;#> - (<R2#integer;2<=R2<=4;#> - <R3#integer;5<=R3<=7;#>)
// 8 - (4 - 6)
>
Type: expression
Hardness: 25

# 603
Arithmetic.Parenthesis.Precedence
>
<R1#integer;11<=R1<=19;#> / (<R2#integer;2<=R2<=5;#> + <R3#integer;2<=R3<=5;#>)
// 12 / (3 + 4)   
>
Type: expression
Hardness: 20

# 604
Arithmetic.Parenthesis.Precedence
>
<R1#integer;11<=R1<=19;#> % (<R2#integer;2<=R2<=5;#> + <R3#integer;2<=R3<=5;#>)
// 14 % (4 + 3)
>
Type: expression
Hardness: 20

# 605
Arithmetic.Parenthesis.Precedence
>
<R1#integer;2<=R1<=5;#> * (<R2#integer;6<=R2<=9;#> - <R3#integer;2<=R3<=5;#>)
// 3 * (8 - 5)
>
Type: expression
Hardness: 20

# 606
Arithmetic.Parenthesis.Precedence
>
<R1#integer;11<=R1<=19;#> / (<R2#integer;6<=R2<=9;#> - <R3#integer;2<=R3<=4;#>)
// 17 / (7 - 3)
>
Type: expression
Hardness: 20

# 607
Arithmetic.Parenthesis.Precedence
>
<R1#integer;6<=R1<=9;#> % (<R2#integer;6<=R2<=9;#> - <R3#integer;2<=R3<=4;#>)
// 9 % (6 - 4)
>
Type: expression
Hardness: 20

# 608
Arithmetic.{Parenthesis.Precedence,/.Integer.Correct}
>
<R1#integer;11<=R1<=19;#> / (<R2#integer;6<=R2<=9;#> / <R3#integer;2<=R3<=4;#>)
// 12 / (7 / 3)
>
Type: expression
Hardness: 20

# 609
Arithmetic.{Parenthesis.Precedence,%.Correct}
>
<R1#integer;11<=R1<=19;#> % (<R2#integer;9<=R2<=11;#> % <R3#integer;6<=R3<=8;#>)
// 11 % (5 % 2)
>
Type: expression
Hardness: 20

# 610
Arithmetic.{Parenthesis.Precedence,/.Integer.Correct}
>
<R1#integer;6<=R1<=9;#> / (<R2#integer;11<=R2<=19;#> / <R3#integer;2<=R3<=4;#>)
// 7 / (12 / 3)
>
Type: expression
Hardness: 20

# 611
Arithmetic.{Parenthesis.Precedence,%.Correct}
>
<R1#integer;2<=R1<=5;#> % (<R2#integer;9<=R2<=11;#> % <R3#integer;6<=R3<=8;#>)
// 3 % (5 % 2)
>
Type: expression
Hardness: 20




# 615
Arithmetic.{Parenthesis.Precedence,*.Associativity,/.Associativity}
>
<R1#integer;2<=R1<=5;#> * (<R2#integer;2<=R2<=5;#> + <R3#integer;2<=R3<=5;#>) / <R4#integer;2<=R4<=5;#>
// 3 * (4 + 5) / 2
>
Type: expression
Hardness: 30

# 616
Arithmetic.{Parenthesis.Precedence,*.Associativity,/.Associativity}
>
<R1#integer;2<=R1<=5;#> * <R2#integer;2<=R2<=5;#> / (<R3#integer;2<=R3<=5;#> + <R4#integer;2<=R4<=5;#>)
// 2 * 3 / (4 + 5)
>
Type: expression
Hardness: 30

# 617
Arithmetic.{Parenthesis.Precedence,*.Associativity,%.Associativity}
>
<R1#integer;2<=R1<=5;#> * (<R2#integer;2<=R2<=5;#> + <R3#integer;2<=R3<=5;#>) % <R4#integer;2<=R4<=5;#>
// 3 * (4 + 5) % 2
>
Type: expression
Hardness: 30

# 618
Arithmetic.{Parenthesis.Precedence,*.Associativity,%.Associativity}
>
<R1#integer;2<=R1<=5;#> * <R2#integer;2<=R2<=5;#> % (<R3#integer;2<=R3<=5;#> + <R4#integer;2<=R4<=5;#>)
// 2 * 3 % (4 + 5)
>
Type: expression
Hardness: 30

# 619
Arithmetic.{Parenthesis.Precedence,%.Associativity,/.Associativity}
>
<R1#integer;11<=R1<=19;#> / (<R2#integer;2<=R2<=5;#> + <R3#integer;2<=R3<=5;#>) % <R4#integer;2<=R4<=5;#>
// 14 / (4 + 3) % 2
>
Type: expression
Hardness: 30

# 620
Arithmetic.{Parenthesis.Precedence,%.Associativity,/.Associativity}
>
<R1#integer;11<=R1<=19;#> / <R2#integer;2<=R2<=5;#> % (<R3#integer;2<=R3<=5;#> + <R4#integer;2<=R4<=5;#>)
// 12 / 3 % (4 + 5)
>
Type: expression
Hardness: 30

// Selected for Integrated/Post-test
# 621
Arithmetic.{Parenthesis.Precedence,*.Associativity,/.Associativity}
>
<R1#integer;11<=R1<=19;#> / (<R2#integer;6<=R2<=9;#> - <R3#integer;2<=R3<=5;#>) * <R4#integer;2<=R4<=5;#>
// 13 / (7 - 4) * 2
>
Type: expression
Hardness: 30

// Selected for Integrated/Pre-test
# 622
Arithmetic.{Parenthesis.Precedence,*.Associativity,/.Associativity}
>
<R1#integer;11<=R1<=19;#> / <R2#integer;2<=R2<=5;#> * (<R3#integer;6<=R3<=9;#> - <R4#integer;2<=R4<=5;#>)
// 12 / 3 * (7 - 5)
>
Type: expression
Hardness: 30

# 623
Arithmetic.{Parenthesis.Precedence,*.Associativity,%.Associativity}
>
<R1#integer;11<=R1<=19;#> % (<R2#integer;6<=R2<=9;#> - <R3#integer;2<=R3<=5;#>) * <R4#integer;2<=R4<=5;#>
// 15 % (9 - 5) * 2
>
Type: expression
Hardness: 30

# 624
Arithmetic.{Parenthesis.Precedence,*.Associativity,%.Associativity}
>
<R1#integer;11<=R1<=19;#> % <R2#integer;2<=R2<=5;#> * (<R3#integer;6<=R3<=9;#> - <R4#integer;2<=R4<=5;#>)
// 19 % 5 * (9 - 5)
>
Type: expression
Hardness: 30

# 625
Arithmetic.{Parenthesis.Precedence,%.Associativity,/.Associativity}
>
<R1#integer;11<=R1<=19;#> % (<R2#integer;6<=R2<=9;#> - <R3#integer;2<=R3<=5;#>) / <R4#integer;2<=R4<=5;#>
// 16 % (7 - 4) / 2
>
Type: expression
Hardness: 30

# 626
Arithmetic.{Parenthesis.Precedence,%.Associativity,/.Associativity}
>
<R1#integer;11<=R1<=19;#> % <R2#integer;2<=R2<=5;#> / (<R3#integer;6<=R3<=9;#> - <R4#integer;2<=R4<=5;#>)
// 16 % 3 / (6 - 2)
>
Type: expression
Hardness: 30







// ------------------------------------------------------------------------------------
// Arithmetic.Parenthesis.Associativity - 650
// Associativity:
// Following are inside-out associativity, important for students to know
// op ( op ( op )), op (( op ) op), (op (op)) op, (( op ) op ) op 
// (low) high (low)
// (2 ops) (2 ops)
// () () ()


# 650
Arithmetic.Parenthesis.Associativity
>
<R1#integer;2<=R1<=5;#> * (<R2#integer;6<=R2<=9;#> - (<R3#integer;2<=R3<=5;#> + <R4#integer;2<=R4<=5;#>))
// 4 * (6 - (2 + 3))
>
Type: expression
Hardness: 30

# 651
Arithmetic.Parenthesis.Associativity
>
<R1#integer;11<=R1<=19;#> / (<R2#integer;2<=R2<=5;#> + (<R3#integer;6<=R3<=9;#> - <R4#integer;2<=R4<=5;#>))
// 14 / (2 + (6 - 3))
>
Type: expression
Hardness: 30

# 652
Arithmetic.Parenthesis.Associativity
>
<R1#integer;11<=R1<=19;#> % (<R2#integer;6<=R2<=9;#> - (<R2> - <R3#integer;2<=R3<=5;#>))
// 14 % (6 - (6 - 3))
>
Type: expression
Hardness: 30

# 653
Arithmetic.Parenthesis.Associativity
>
<R1#integer;2<=R1<=5;#> * ((<R2#integer;2<=R2<=5;#> + <R3#integer;2<=R3<=5;#>) - <R4#integer;2<=R4<=5;#>)
// 4 * ((3 + 3) - 4)
>
Type: expression
Hardness: 30

// Integrated - Pre-test
# 654
Arithmetic.Parenthesis.Associativity
>
<R1#integer;11<=R1<=19;#> / ((<R2#integer;6<=R2<=9;#> - <R3#integer;2<=R3<=5;#>) + <R4#integer;2<=R4<=5;#>)
// 14 / ((6 - 3) + 2)
>
Type: expression
Hardness: 30

# 655
Arithmetic.Parenthesis.Associativity
>
<R1#integer;11<=R1<=19;#> % ((<R2#integer;2<=R2<=5;#> + <R3#integer;6<=R3<=9;#>) - <R4#integer;2<=R4<=5;#>)
// 14 % ((3 + 6) - 2)
>
Type: expression
Hardness: 30

// Integrated - Post-test
# 656
Arithmetic.Parenthesis.Associativity
>
(<R1#integer;2<=R1<=5;#> + (<R2#integer;6<=R2<=9;#> - <R3#integer;2<=R3<=5;#>)) * <R4#integer;2<=R4<=5;#>
// (3 + (6 - 2)) * 5
>
Type: expression
Hardness: 30

# 657
Arithmetic.Parenthesis.Associativity
>
(<R1#integer;6<=R1<=9;#> - (<R2#integer;2<=R2<=5;#> - <R3#integer;6<=R3<=9;#>)) / <R4#integer;2<=R4<=5;#>
// (6 - (4 - 8)) / 5
>
Type: expression
Hardness: 30

# 658
Arithmetic.Parenthesis.Associativity
>
(<R1#integer;2<=R1<=5;#> + (<R2#integer;2<=R2<=5;#> + <R3#integer;6<=R3<=9;#>)) % <R4#integer;2<=R4<=5;#>
// (3 + (4 + 7)) % 5
>
Type: expression
Hardness: 30



# 660
Arithmetic.Parenthesis.Associativity
>
(<R1#integer;2<=R1<=5;#> + <R2#integer;6<=R2<=9;#>) * (<R1> - <R2>)
// (2 + 6) * (2 - 6)
>
Type: expression
Hardness: 20

# 661
Arithmetic.Parenthesis.Associativity
>
(<R1#integer;6<=R1<=9;#> - <R2#integer;2<=R2<=5;#>) * (<R1> + <R2>)
// (6 - 2) * (6 + 2)
>
Type: expression
Hardness: 20

# 662
Arithmetic.Parenthesis.Associativity
>
(<R1#integer;2<=R1<=9;#> + <R1>) * (<R1> - <R1>)
// (7 + 7) * (7 - 7)
>
Type: expression
Hardness: 20



# 663
Arithmetic.Parenthesis.Associativity
>
(<R1#integer;2<=R1<=5;#> + <R2#integer;6<=R2<=9;#>) / (<R1> - <R2>)
// (2 + 6) / (2 - 6)
>
Type: expression
Hardness: 20

# 664
Arithmetic.Parenthesis.Associativity
>
(<R1#integer;6<=R1<=9;#> - <R2#integer;2<=R2<=5;#>) / (<R1> + <R2>)
// (6 - 2) / (6 + 2)
>
Type: expression
Hardness: 20




# 665
Arithmetic.Parenthesis.Associativity
>
(<R1#integer;2<=R1<=5;#> + <R2#integer;6<=R2<=9;#>) % (<R2> - <R1>)
// (2 + 6) % (6 - 2)
>
Type: expression
Hardness: 20

# 666
Arithmetic.Parenthesis.Associativity
>
(<R1#integer;6<=R1<=9;#> - <R2#integer;2<=R2<=5;#>) % (<R1> + <R2>)
// (6 - 2) % (6 + 2)
>
Type: expression
Hardness: 20

# 667
Arithmetic.Parenthesis.Associativity
>
(<R1#integer;2<=R1<=9;#> + <R1>) % (<R1> * 2)
// (3 + 3) % (3 * 2)
>
Type: expression
Hardness: 20





# 670
Arithmetic.Parenthesis.{Precedence,Associativity}
>
(<R1#integer;2<=R1<=5;#> + <R2#integer;2<=R2<=5;#> * <R1>) % (<R3#integer;6<=R3<=9;#> - <R4#integer;6<=R4<=9;#> / <R1>)
// (2 + 3 * 2) % (9 - 7 / 2)
>
Type: expression
Hardness: 30

# 671
Arithmetic.Parenthesis.{Precedence,Associativity}
>
(<R1#integer;11<=R1<=19;#> - <R2#integer;2<=R2<=5;#> * <R3#integer;2<=R3<=5;#>) / (<R2> + <R1> % <R3>)
// (15 - 3 * 4) / (3 + 15 % 4)
>
Type: expression
Hardness: 30

# 672
Arithmetic.Parenthesis.{Precedence,Associativity}
>
(<R1#integer;2<=R1<=5;#> + <R1> * <R2#integer;2<=R2<=5;#>) * (<R3#integer;6<=R3<=9;#> - <R2> * <R1>)
// (2 + 2 * 3) * (9 - 3 * 2)
>
Type: expression
Hardness: 30

# 673
Arithmetic.Parenthesis.{Precedence,Associativity}
>
(<R1#integer;6<=R1<=9;#> - <R1> / <R2#integer;2<=R2<=5;#>) % (<R3#integer;2<=R3<=5;#> + <R3> * <R2>)
// (9 - 9 / 3) % (2 + 2 * 3)
>
Type: expression
Hardness: 30

# 674
Arithmetic.Parenthesis.{Precedence,Associativity}
>
(<R1#integer;2<=R1<=5;#> + <R2#integer;6<=R2<=9;#> % <R3#integer;2<=R3<=5;#>) / (<R1> - <R1> * <R3>)
// (3 + 9 % 4) / (3 - 3 * 4)
>
Type: expression
Hardness: 30

# 675
Arithmetic.Parenthesis.{Precedence,Associativity}
>
(<R1#integer;2<=R1<=5;#> - <R1> % <R2#integer;2<=R2<=5;#>) * (<R1> + <R2> / <R1>)
// (3 - 3 % 4) * (3 + 4 / 3)
>
Type: expression
Hardness: 30






# 680
Arithmetic.Parenthesis.{Precedence,Associativity}
>
(<R1#integer;2<=R1<=5;#> + <R2#integer;2<=R2<=5;#>) * (<R1> - <R2>) / (<R1> * <R2>)
// (2 + 3) * (2 - 3) / (2 * 3)
>
Type: expression
Hardness: 35

# 681
Arithmetic.Parenthesis.{Precedence,Associativity}
>
(<R1#integer;6<=R1<=9;#> % <R1>) * (<R1> / <R2#integer;2<=R2<=5;#>) % (<R1> - <R2>)
// (6 % 6) * (6 / 2) % (6 - 2)
>
Type: expression
Hardness: 35

# 682
Arithmetic.Parenthesis.{Precedence,Associativity}
>
(<R1#integer;2<=R1<=5;#> * <R2#integer;2<=R2<=5;#>) / (<R1> + <R2>) % (<R3#integer;6<=R3<=9;#> / <R2>)
// (2 * 3) / (2 + 3) % (6 / 3)
>
Type: expression
Hardness: 35



// // STILL Works!
// # 678
// Arithmetic.{Parenthesis.Associativity,%.Precedence}
// >
// (<R1#integer;11<=R1<=19;#> % (<R2#integer;6<=R2<=9;#> - (<R3#integer;6<=R3<=9;#> - <R4#integer;2<=R4<=5;#>)) + (<R5#integer;2<=R5<=5;#> * <R6#integer;2<=R6<=5;#> + <R6>))
// // (14 % (6 - (6 - 3)) + (4 * 5 + 5))
// >
// Type: expression
// Hardness: 60
//
// // These generate code errors, use these only at the end
// # 650
// Arithmetic.{Parenthesis.Precedence,%.Real}
// ?
// Arithmetic.{%.Precedence,+.Precedence},Parenthesis.Precedence 
// >
// <R1#integer;2<=R1<=5;#> % (<R2#integer;3<=R2<=7;#> + 2.0)
// // 4 % (6 + 2.0)
// >
// Type: expression
// Hardness: 40
// 
// # 651
// Arithmetic.{Parenthesis.Precedence,%.Real}
// ?
// Arithmetic.{%.Precedence,-.Precedence},Parenthesis.Precedence
// >
// <R1#integer;2<=R1<=5;#> % (<R2#integer;6<=R2<=9;#> - 1.0)
// // 4 % (6 - 1.0)
// >
// Type: expression
// Hardness: 40
// 
// # 652
// Arithmetic.{Parenthesis.Precedence,%.Real}
// ?
// Parenthesis.Precedence
// >
// <R1#float;10<=R1<=15;#> % (<R2#integer;6<=R2<=9;#> % <R3#integer;2<=R3<=5;#>)
// // 15.0 % (6 % 4)
// >
// Type: expression
// Hardness: 60
// 
// # 655
// Arithmetic.{Parenthesis.Precedence,/.Dividing By Zero}
// ?
// Parenthesis.Precedence
// >
// <R1#integer;2<=R1<=9;#> % (<R2#integer;2<=R2<=9;#> % <R2>)
// // 9 % (3 % 3)
// >
// Type: expression
// Hardness: 30
// 
// # 656
// Arithmetic.{Parenthesis.Precedence,/.Dividing By Zero}
// ?
// Parenthesis.Precedence
// >
// <R1#integer;2<=R1<=9;#> % (<R2#integer;2<=R2<=9;#> * 0)
// // 8 % (5 * 0)
// >
// Type: expression
// Hardness: 30
// 
// # 657
// Arithmetic.{Parenthesis.Precedence,/.Dividing By Zero}
// ?
// Parenthesis.Precedence
// >
// <R1#integer;2<=R1<=9;#> % (<R2#integer;2<=R2<=5;#> / <R3#integer;6<=R3<=9;#>)
// // 8 % (3 / 7)
// >
// Type: expression
// Hardness: 30
// 
// # 658
// Arithmetic.{Parenthesis.Precedence,/.Dividing By Zero}
// ?
// Parenthesis.Precedence
// >
// <R1#integer;2<=R1<=9;#> / (<R2#integer;2<=R2<=9;#> % <R2>)
// // 9 / (3 % 3)
// >
// Type: expression
// Hardness: 30
// 
// # 659
// Arithmetic.{Parenthesis.Precedence,/.Dividing By Zero}
// ?
// Parenthesis.Precedence
// >
// <R1#integer;2<=R1<=9;#> / (<R2#integer;2<=R2<=9;#> * 0)
// // 8 / (5 * 0)
// >
// Type: expression
// Hardness: 30
// 
// # 660
// Arithmetic.{Parenthesis.Precedence,/.Dividing By Zero}
// ?
// Parenthesis.Precedence
// >
// <R1#integer;2<=R1<=9;#> / (<R2#integer;2<=R2<=5;#> / <R3#integer;6<=R3<=9;#>)
// // 8 / (3 / 7)
// >
// Type: expression
// Hardness: 30
 

// --------------------------------------------------------------------------
// // Testing arithmetic operator being applied to boolean operands in C++/Java/C#
// # 900
// Arithmetic.+.Correct
// >
// true + true
// >
// Type: expression
// Hardness: 50
// 
// // To test unary and binary operators
// # 901
// Arithmetic.+.Correct
// >
// <R1#integer;2<=R1<=5;#> + + <R2#integer;6<=R2<=9;#>
// >
// Type: expression
// Hardness: 50
// 
// // To test unary and binary operators
// # 902
// Arithmetic.-.Correct
// >
// <R1#integer;6<=R1<=9;#> - - <R2#integer;2<=R2<=5;#>
// >
// Type: expression
// Hardness: 50
// 
// // To test unary and binary operators
// # 903
// Arithmetic.-.Correct
// >
// {<T1#signed#><V1> = <R1#integer;2<=R1<=5;#>;<T1><V2> = <R2#integer;2<=R2<=5;#>;<V1> - + <V2>;}
// >
// Type: expression
// Hardness: 50
// 
// // To test unary and binary operators
// # 904
// Arithmetic.+.Correct
// >
// {<T1#signed#><V1> = <R1#integer;2<=R1<=5;#>;<T1><V2> = <R2#integer;2<=R2<=5;#>;<V1> + - <V2>;}
// >
// Type: expression
// Hardness: 50

// --------------------------------------------------------------------------
// Templates here are for demonstration purposes
// Included at the end so that regular practice does not pick up these templates

// How to enter underbraces
# 90
Demonstration
>
2 + 4 + 1 + 3 
>
Type: expression
Hardness: 50

// How to enter real values
# 91
Demonstration
>
2.0 + 3.0
>
Type: expression
Hardness: 50

// How to enter error values
# 92
Demonstration
>
2 / 0
>
Type: expression
Hardness: 15
// --------------------------------------------------------------------------