category stringclasses 45
values | input stringlengths 1 35 | output stringlengths 1 25 | reason stringlengths 5 26 |
|---|---|---|---|
modulo-operation | 39 mod 4 | 3 | remainder of 39/4 |
even-odd | 93 | odd | 93 is not divisible by 2 |
cube-numbers | 9^3 | 729 | 9*9*9 |
fractions-simple | 2/10 as decimal | 0.20 | 2 divided by 10 |
ratio-simplify | Simplify 16:18 | 8:9 | divide by GCD 2 |
even-odd | 47 | odd | 47 is not divisible by 2 |
order-of-operations | 8+4*5 | 28 | 4*5=20
8+20=28 |
average-calc | Avg of [2, 5, 10] | 5.7 | sum/count |
time-addition | 1:15 + 2h 15m | 3:30 | adding time |
volume-basic | Volume cube side 8 | 512 | side^3 |
place-value | hundreds digit of 224 | 2 | looking at hundreds place |
compensation | 6+19 | 25 | 6+20-1=25 |
cube-numbers | 10^3 | 1000 | 10*10*10 |
place-value | hundreds digit of 271 | 2 | looking at hundreds place |
exponent-small | 4^2 | 16 | 4 multiplied 2 times |
doubles | 38+38 | 76 | double 38 is 76 |
rounding | Round 233 to 100 | 200 | nearest multiple of 100 |
modulo-operation | 27 mod 5 | 2 | remainder of 27/5 |
order-of-operations | 5+2*5 | 15 | 2*5=10
5+10=15 |
modulo-operation | 39 mod 3 | 0 | remainder of 39/3 |
prime-check | Is 28 prime? | no | has other factors |
sqrt-perfect | √36 | 6 | square root of 36 |
mixed-add | 9+5+6 | 20 | step-by-step sum is 20 |
rounding | Round 512 to 100 | 500 | nearest multiple of 100 |
comparison | 87?14 | > | 87 is larger |
percentage-basic | 20% of 61 | 12 | 20/100 * 61 |
multi-step-calc | 3+9-7 | 5 | 3+9=12
12-7=5 |
rounding | Round 999 to 100 | 1000 | nearest multiple of 100 |
volume-basic | Volume cube side 8 | 512 | side^3 |
parentheses-calc | (1+2)*5 | 15 | 1+2=3
3*5=15 |
mixed-add | 10+14+16 | 40 | step-by-step sum is 40 |
near-doubles | 1+0 | 1 | 0+0+1=1 |
compensation | 85+19 | 104 | 85+20-1=104 |
time-addition | 10:15 + 1h 0m | 11:15 | adding time |
order-of-operations | 7+4*4 | 23 | 4*4=16
7+16=23 |
teen-add | 13+4 | 17 | 13+4=17 |
time-addition | 5:15 + 1h 30m | 6:45 | adding time |
three-digit-add | 216+688 | 904 | 216+688=904 |
sqrt-perfect | √144 | 12 | square root of 144 |
doubles | 15+15 | 30 | double 15 is 30 |
single-digit-add | 5+9 | 14 | 5+9=14 |
exponent-small | 4^2 | 16 | 4 multiplied 2 times |
comparison | 31?65 | < | 31 is smaller |
perimeter-shapes | Perimeter triangle 8,5,4 | 17 | sum of sides |
average-calc | Avg of [12, 13, 5] | 10.0 | sum/count |
three-digit-add | 203+859 | 1062 | 203+859=1062 |
comparison | 9?38 | < | 9 is smaller |
prime-check | Is 31 prime? | yes | only 1 and itself |
probability-basic | Chance of heads in coin flip | 1/2 | 2 sides, 1 favorable |
prime-check | Is 33 prime? | no | has other factors |
prime-check | Is 4 prime? | no | has other factors |
percentage-basic | 25% of 174 | 43 | 25/100 * 174 |
absolute-value | |11| | 11 | distance from zero |
subtraction-single | 19-9 | 10 | 19 minus 9 is 10 |
three-digit-add | 644+141 | 785 | 644+141=785 |
place-value | tens digit of 134 | 3 | looking at tens place |
negative-numbers | 10+(-2) | 8 | moving left on number line |
fractions-simple | 1/5 as decimal | 0.20 | 1 divided by 5 |
absolute-value | |-42| | 42 | distance from zero |
mixed-add | 8+6+8 | 22 | step-by-step sum is 22 |
area-circle | Area circle r=5 | 78.5 | pi*r^2 |
sqrt-perfect | √36 | 6 | square root of 36 |
division-simple | 6/3 | 2 | 6 divided by 3 is 2 |
square-numbers | 7^2 | 49 | 7*7=49 |
parentheses-calc | (3+5)*5 | 40 | 3+5=8
8*5=40 |
square-numbers | 11^2 | 121 | 11*11=121 |
square-numbers | 19^2 | 361 | 19*19=361 |
fractions-simple | 8/10 as decimal | 0.80 | 8 divided by 10 |
sqrt-perfect | √1 | 1 | square root of 1 |
place-value | hundreds digit of 277 | 2 | looking at hundreds place |
subtraction-single | 17-10 | 7 | 17 minus 10 is 7 |
average-calc | Avg of [1, 7, 4] | 4.0 | sum/count |
order-of-operations | 6+1*1 | 7 | 1*1=1
6+1=7 |
binary-decimal | 25 to binary | 11001 | base 2 conversion |
time-addition | 11:15 + 1h 0m | 12:15 | adding time |
sqrt-perfect | √81 | 9 | square root of 81 |
teen-add | 18+9 | 27 | 18+9=27 |
fractions-simple | 1/2 as decimal | 0.50 | 1 divided by 2 |
multiplication-tables | 10*11 | 110 | 10 times 11 is 110 |
doubles | 40+40 | 80 | double 40 is 80 |
mixed-add | 12+9+19 | 40 | step-by-step sum is 40 |
fractions-simple | 1/2 as decimal | 0.50 | 1 divided by 2 |
money-add | $44.97 + $31.70 | $76.67 | summing dollars and cents |
zero-add | 0+74 | 74 | adding zero keeps value |
word-add | You have 6 cars and get 28 more. | 34 | 6+28=34 |
fractions-simple | 1/5 as decimal | 0.20 | 1 divided by 5 |
sqrt-perfect | √36 | 6 | square root of 36 |
rounding | Round 380 to 100 | 400 | nearest multiple of 100 |
modulo-operation | 22 mod 6 | 4 | remainder of 22/6 |
compensation | 24+29 | 53 | 24+30-1=53 |
mixed-add | 1+12+17 | 30 | step-by-step sum is 30 |
near-doubles | 16+15 | 31 | 15+15+1=31 |
gcd-lcm | GCD(11,16) | 1 | greatest common divisor |
sqrt-perfect | √4 | 2 | square root of 4 |
subtraction-single | 7-5 | 2 | 7 minus 5 is 2 |
rounding | Round 601 to 10 | 600 | nearest multiple of 10 |
parentheses-calc | (2+4)*2 | 12 | 2+4=6
6*2=12 |
time-addition | 7:45 + 1h 30m | 9:15 | adding time |
two-digit-add | 23+83 | 106 | sum of 23 and 83 |
multi-step-calc | 8+9-6 | 11 | 8+9=17
17-6=11 |
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