instruction
large_string
reasoning
large_string
answer
large_string
text
large_string
operation
large_string
difficulty
large_string
num_steps
int64
max_digits
int64
Evaluate 3120 / 48.
3120 / 48 = 65
65
Evaluate 3120 / 48. 3120 / 48 = 65 Answer: 65
division
easy
1
2
What is 1/3 of 6222?
6222/3 = 2074 | 2074*1 = 2074
2074
What is 1/3 of 6222? 6222/3 = 2074 | 2074*1 = 2074 Answer: 2074
fractions
intermediate
2
4
Share 20232 between A and B in ratio 2:4. How much does A get?
2+4=6 | 20232/6=3372 | 3372*2=6744
6744
Share 20232 between A and B in ratio 2:4. How much does A get? 2+4=6 | 20232/6=3372 | 3372*2=6744 Answer: 6744
ratios
hard
3
6
What is (515 + 248) * 4 - 88?
515+248=763 | 763*4=3052 | 3052-88=2964
2964
What is (515 + 248) * 4 - 88? 515+248=763 | 763*4=3052 | 3052-88=2964 Answer: 2964
hard arithmetic
hard
3
6
Calculate 61 - 32.
61 - 32 = 29
29
Calculate 61 - 32. 61 - 32 = 29 Answer: 29
subtraction
easy
1
2
What is the perimeter of a rectangle 372 by 122?
2*(372+122) = 2*494 = 988
988
What is the perimeter of a rectangle 372 by 122? 2*(372+122) = 2*494 = 988 Answer: 988
geometry
intermediate
2
4
What is the area of a rectangle 496 by 382?
496 * 382 = 189472
189472
What is the area of a rectangle 496 by 382? 496 * 382 = 189472 Answer: 189472
geometry
intermediate
2
4
What is (763 + 790) * 56 - 38?
763+790=1553 | 1553*56=86968 | 86968-38=86930
86930
What is (763 + 790) * 56 - 38? 763+790=1553 | 1553*56=86968 | 86968-38=86930 Answer: 86930
hard arithmetic
hard
3
6
Add together 5 and 44.1.
5 + 44.1 = 49.1
49.1
Add together 5 and 44.1. 5 + 44.1 = 49.1 Answer: 49.1
addition
easy
1
2
Evaluate 72.0 - 10.
72.0 - 10 = 62
62
Evaluate 72.0 - 10. 72.0 - 10 = 62 Answer: 62
subtraction
easy
1
2
If 2 apples cost $230, how much do 212 apples cost at the same rate?
$230/2=$115.0 each | $115.0*212=$48760
$48760
If 2 apples cost $230, how much do 212 apples cost at the same rate? $230/2=$115.0 each | $115.0*212=$48760 Answer: $48760
quantitative reasoning
very hard
2
6
What is (992 + 974) * 65 - 84?
992+974=1966 | 1966*65=127790 | 127790-84=127706
127706
What is (992 + 974) * 65 - 84? 992+974=1966 | 1966*65=127790 | 127790-84=127706 Answer: 127706
hard arithmetic
hard
3
6
Divide 4490 in the ratio 2:3. What is the larger share?
2+3=5 | 4490/5=898 | 898*3=2694
2694
Divide 4490 in the ratio 2:3. What is the larger share? 2+3=5 | 4490/5=898 | 898*3=2694 Answer: 2694
ratios
intermediate
3
4
Addison has 2 bags with 5 sandals each and found 218 more sandals. How many sandals total?
2*5=10 | 10+218=228
228 sandals
Addison has 2 bags with 5 sandals each and found 218 more sandals. How many sandals total? 2*5=10 | 10+218=228 Answer: 228 sandals
word problems
intermediate
2
4
What is (391 + 47) * 1?
391 + 47 = 438 | 438 * 1 = 438
438
What is (391 + 47) * 1? 391 + 47 = 438 | 438 * 1 = 438 Answer: 438
multi-step arithmetic
intermediate
2
4
Calculate 160 ÷ 80.
160 / 80 = 2
2
Calculate 160 ÷ 80. 160 / 80 = 2 Answer: 2
division
easy
1
2
What is 392 * 678 + 748?
392*678=265776 | 265776+748=266524
266524
What is 392 * 678 + 748? 392*678=265776 | 265776+748=266524 Answer: 266524
multi-step arithmetic
hard
3
6
Stella has 4 bags with 10 triangles each and found 436 more triangles. How many triangles total?
4*10=40 | 40+436=476
476 triangles
Stella has 4 bags with 10 triangles each and found 436 more triangles. How many triangles total? 4*10=40 | 40+436=476 Answer: 476 triangles
word problems
intermediate
2
4
What is 3237 over 39?
3237 / 39 = 83
83
What is 3237 over 39? 3237 / 39 = 83 Answer: 83
division
easy
1
2
What is 83 x 88?
83 * 88 = 7304
7304
What is 83 x 88? 83 * 88 = 7304 Answer: 7304
multiplication
easy
1
2
Solve for x: x + 747 = 827
x = 827 - 747 = 80
80
Solve for x: x + 747 = 827 x = 827 - 747 = 80 Answer: 80
algebra
intermediate
2
4
Jaxson had 241 suns and bought 11 more, then gave 36 away. How many suns does Jaxson have now?
241+11=252 | 252-36=216
216 suns
Jaxson had 241 suns and bought 11 more, then gave 36 away. How many suns does Jaxson have now? 241+11=252 | 252-36=216 Answer: 216 suns
word problems
intermediate
2
4
Solve for x: x + 70 = 570
x = 570 - 70 = 500
500
Solve for x: x + 70 = 570 x = 570 - 70 = 500 Answer: 500
algebra
intermediate
2
4
Work out 58 + 13.0.
58 + 13.0 = 71
71
Work out 58 + 13.0. 58 + 13.0 = 71 Answer: 71
addition
easy
1
2
If 2 apples cost $347, how much do 227 apples cost at the same rate?
$347/2=$173.5 each | $173.5*227=$78769
$78769
If 2 apples cost $347, how much do 227 apples cost at the same rate? $347/2=$173.5 each | $173.5*227=$78769 Answer: $78769
quantitative reasoning
very hard
2
6
What is 76633.8 plus 47% of 76633.8?
47% of 76633.8 = 36017.9 | 76633.8 + 36017.9 = 112651.7
112651.7
What is 76633.8 plus 47% of 76633.8? 47% of 76633.8 = 36017.9 | 76633.8 + 36017.9 = 112651.7 Answer: 112651.7
percentages
hard
3
6
What is 20780.1 plus 28% of 20780.1?
28% of 20780.1 = 5818.4 | 20780.1 + 5818.4 = 26598.5
26598.5
What is 20780.1 plus 28% of 20780.1? 28% of 20780.1 = 5818.4 | 20780.1 + 5818.4 = 26598.5 Answer: 26598.5
percentages
hard
3
6
What is 22 - 8?
22 - 8 = 14
14
What is 22 - 8? 22 - 8 = 14 Answer: 14
subtraction
easy
1
2
Compute 78.5 minus 49.
78.5 - 49 = 29.5
29.5
Compute 78.5 minus 49. 78.5 - 49 = 29.5 Answer: 29.5
subtraction
easy
1
2
Share 93928 between A and B in ratio 4:4. How much does A get?
4+4=8 | 93928/8=11741 | 11741*4=46964
46964
Share 93928 between A and B in ratio 4:4. How much does A get? 4+4=8 | 93928/8=11741 | 11741*4=46964 Answer: 46964
ratios
hard
3
6
Find the product of 22 and 27.
22 * 27 = 594
594
Find the product of 22 and 27. 22 * 27 = 594 Answer: 594
multiplication
easy
1
2
What is 67 less 2?
67 - 2 = 65
65
What is 67 less 2? 67 - 2 = 65 Answer: 65
subtraction
easy
1
2
Solve for x: x + 391 = 761
x = 761 - 391 = 370
370
Solve for x: x + 391 = 761 x = 761 - 391 = 370 Answer: 370
algebra
intermediate
2
4
Calculate 87 x 72.
87 * 72 = 6264
6264
Calculate 87 x 72. 87 * 72 = 6264 Answer: 6264
multiplication
easy
1
2
What is 39 plus 16.3?
39 + 16.3 = 55.3
55.3
What is 39 plus 16.3? 39 + 16.3 = 55.3 Answer: 55.3
addition
easy
1
2
Find the total of 95 and 49.
95 + 49 = 144
144
Find the total of 95 and 49. 95 + 49 = 144 Answer: 144
addition
easy
1
2
What is 11929.3 plus 19% of 11929.3?
19% of 11929.3 = 2266.6 | 11929.3 + 2266.6 = 14195.9
14195.9
What is 11929.3 plus 19% of 11929.3? 19% of 11929.3 = 2266.6 | 11929.3 + 2266.6 = 14195.9 Answer: 14195.9
percentages
hard
3
6
Find 1/2 of 1554.
1554/2 = 777 | 777*1 = 777
777
Find 1/2 of 1554. 1554/2 = 777 | 777*1 = 777 Answer: 777
fractions
intermediate
2
4
What is 1/3 of 9156?
9156/3 = 3052 | 3052*1 = 3052
3052
What is 1/3 of 9156? 9156/3 = 3052 | 3052*1 = 3052 Answer: 3052
fractions
intermediate
2
4
Find 1/2 of 3440.
3440/2 = 1720 | 1720*1 = 1720
1720
Find 1/2 of 3440. 3440/2 = 1720 | 1720*1 = 1720 Answer: 1720
fractions
intermediate
2
4
What is 100% of 24?
24 * 100 = 2400 | 2400/100 = 24
24
What is 100% of 24? 24 * 100 = 2400 | 2400/100 = 24 Answer: 24
percentage
easy
1
2
What is 1/5 of 4830?
4830/5 = 966 | 966*1 = 966
966
What is 1/5 of 4830? 4830/5 = 966 | 966*1 = 966 Answer: 966
fractions
intermediate
2
4
What is 2.1 plus 12?
2.1 + 12 = 14.1
14.1
What is 2.1 plus 12? 2.1 + 12 = 14.1 Answer: 14.1
addition
easy
1
2
What is the perimeter of a rectangle 727 by 711?
2*(727+711) = 2*1438 = 2876
2876
What is the perimeter of a rectangle 727 by 711? 2*(727+711) = 2*1438 = 2876 Answer: 2876
geometry
intermediate
2
4
Determine 63 times 97.
63 * 97 = 6111
6111
Determine 63 times 97. 63 * 97 = 6111 Answer: 6111
multiplication
easy
1
2
A shop has 5 boxes with 5 markers each, 10% are sold. How many markers remain?
5*5=25 | 10% of 25=2.5 | 25-2.5=22.5
22.5 markers
A shop has 5 boxes with 5 markers each, 10% are sold. How many markers remain? 5*5=25 | 10% of 25=2.5 | 25-2.5=22.5 Answer: 22.5 markers
word problems
hard
3
6
What is (531 + 465) * 70 - 50?
531+465=996 | 996*70=69720 | 69720-50=69670
69670
What is (531 + 465) * 70 - 50? 531+465=996 | 996*70=69720 | 69720-50=69670 Answer: 69670
hard arithmetic
hard
3
6
Evaluate 5.6 + 47.5.
5.6 + 47.5 = 53.1
53.1
Evaluate 5.6 + 47.5. 5.6 + 47.5 = 53.1 Answer: 53.1
addition
easy
1
2
Solve for x: x + 604 = 1207
x = 1207 - 604 = 603
603
Solve for x: x + 604 = 1207 x = 1207 - 604 = 603 Answer: 603
algebra
intermediate
2
4
What is (529 + 962) * 74 - 30?
529+962=1491 | 1491*74=110334 | 110334-30=110304
110304
What is (529 + 962) * 74 - 30? 529+962=1491 | 1491*74=110334 | 110334-30=110304 Answer: 110304
hard arithmetic
hard
3
6
Divide 462 by 14.
462 / 14 = 33
33
Divide 462 by 14. 462 / 14 = 33 Answer: 33
division
easy
1
2
What is 21% of 44?
44 * 21 = 924 | 924/100 = 9.24
9.24
What is 21% of 44? 44 * 21 = 924 | 924/100 = 9.24 Answer: 9.24
percentage
easy
1
2
A shop has 4 boxes with 16 headphones each, 26% are sold. How many headphones remain?
4*16=64 | 26% of 64=16.6 | 64-16.6=47.4
47.4 headphones
A shop has 4 boxes with 16 headphones each, 26% are sold. How many headphones remain? 4*16=64 | 26% of 64=16.6 | 64-16.6=47.4 Answer: 47.4 headphones
word problems
hard
3
6
How much is 86% of 89.2?
89.2 * 86 = 7671.2 | 7671.2/100 = 76.712
76.712
How much is 86% of 89.2? 89.2 * 86 = 7671.2 | 7671.2/100 = 76.712 Answer: 76.712
percentage
easy
1
2
Share 4627 between A and B in ratio 4:3. How much does A get?
4+3=7 | 4627/7=661 | 661*4=2644
2644
Share 4627 between A and B in ratio 4:3. How much does A get? 4+3=7 | 4627/7=661 | 661*4=2644 Answer: 2644
ratios
hard
3
6
What is 298 plus 15% of 298?
15% of 298 = 44.7 | 298 + 44.7 = 342.7
342.7
What is 298 plus 15% of 298? 15% of 298 = 44.7 | 298 + 44.7 = 342.7 Answer: 342.7
percentages
hard
3
6
Divide 1287 in the ratio 1:2. What is the larger share?
1+2=3 | 1287/3=429 | 429*2=858
858
Divide 1287 in the ratio 1:2. What is the larger share? 1+2=3 | 1287/3=429 | 429*2=858 Answer: 858
ratios
intermediate
3
4
What is 7845 - 580.2?
7845 - 580.2 = 7264.8
7264.8
What is 7845 - 580.2? 7845 - 580.2 = 7264.8 Answer: 7264.8
decimals
intermediate
2
4
What is 24356 plus 12% of 24356?
12% of 24356 = 2922.7 | 24356 + 2922.7 = 27278.7
27278.7
What is 24356 plus 12% of 24356? 12% of 24356 = 2922.7 | 24356 + 2922.7 = 27278.7 Answer: 27278.7
percentages
hard
3
6
Share 5244 between A and B in ratio 4:2. How much does A get?
4+2=6 | 5244/6=874 | 874*4=3496
3496
Share 5244 between A and B in ratio 4:2. How much does A get? 4+2=6 | 5244/6=874 | 874*4=3496 Answer: 3496
ratios
hard
3
6
What is 1719 - 179.3?
1719 - 179.3 = 1539.7
1539.7
What is 1719 - 179.3? 1719 - 179.3 = 1539.7 Answer: 1539.7
decimals
intermediate
2
4
Share 54144 between A and B in ratio 4:4. How much does A get?
4+4=8 | 54144/8=6768 | 6768*4=27072
27072
Share 54144 between A and B in ratio 4:4. How much does A get? 4+4=8 | 54144/8=6768 | 6768*4=27072 Answer: 27072
ratios
hard
3
6
Share 95645 between A and B in ratio 2:3. How much does A get?
2+3=5 | 95645/5=19129 | 19129*2=38258
38258
Share 95645 between A and B in ratio 2:3. How much does A get? 2+3=5 | 95645/5=19129 | 19129*2=38258 Answer: 38258
ratios
hard
3
6
Share 55040 between A and B in ratio 4:4. How much does A get?
4+4=8 | 55040/8=6880 | 6880*4=27520
27520
Share 55040 between A and B in ratio 4:4. How much does A get? 4+4=8 | 55040/8=6880 | 6880*4=27520 Answer: 27520
ratios
hard
3
6
Solve for x: x + 916 = 1164
x = 1164 - 916 = 248
248
Solve for x: x + 916 = 1164 x = 1164 - 916 = 248 Answer: 248
algebra
intermediate
2
4
Solve 48 x 19.
48 * 19 = 912
912
Solve 48 x 19. 48 * 19 = 912 Answer: 912
multiplication
easy
1
2
What is the perimeter of a rectangle 831 by 241?
2*(831+241) = 2*1072 = 2144
2144
What is the perimeter of a rectangle 831 by 241? 2*(831+241) = 2*1072 = 2144 Answer: 2144
geometry
intermediate
2
4
Find 2100 ÷ 35.
2100 / 35 = 60
60
Find 2100 ÷ 35. 2100 / 35 = 60 Answer: 60
division
easy
1
2
What is (118 + 256) * 98?
118 + 256 = 374 | 374 * 98 = 36652
36652
What is (118 + 256) * 98? 118 + 256 = 374 | 374 * 98 = 36652 Answer: 36652
multi-step arithmetic
intermediate
2
4
What is 51 * 828 + 278?
51*828=42228 | 42228+278=42506
42506
What is 51 * 828 + 278? 51*828=42228 | 42228+278=42506 Answer: 42506
multi-step arithmetic
hard
3
6
Chloe has 5 bags with 14 sodas each and found 119 more sodas. How many sodas total?
5*14=70 | 70+119=189
189 sodas
Chloe has 5 bags with 14 sodas each and found 119 more sodas. How many sodas total? 5*14=70 | 70+119=189 Answer: 189 sodas
word problems
intermediate
2
4
What is the area of a rectangle 555 by 689?
555 * 689 = 382395
382395
What is the area of a rectangle 555 by 689? 555 * 689 = 382395 Answer: 382395
geometry
intermediate
2
4
Which is smaller, 24 or 24?
24 == 24 | equal
equal
Which is smaller, 24 or 24? 24 == 24 | equal Answer: equal
comparison
easy
1
2
Divide 6930 in the ratio 3:2. What is the larger share?
3+2=5 | 6930/5=1386 | 1386*3=4158
4158
Divide 6930 in the ratio 3:2. What is the larger share? 3+2=5 | 6930/5=1386 | 1386*3=4158 Answer: 4158
ratios
intermediate
3
4
A shop has 5 boxes with 8 games each, 26% are sold. How many games remain?
5*8=40 | 26% of 40=10.4 | 40-10.4=29.6
29.6 games
A shop has 5 boxes with 8 games each, 26% are sold. How many games remain? 5*8=40 | 26% of 40=10.4 | 40-10.4=29.6 Answer: 29.6 games
word problems
hard
3
6
Elijah had 81 buttons, bought 32 more, gave 14 to a friend, then shared the rest equally among 5 friends. How many does each friend get?
81+32=113 | 113-14=99 | 99/5=19 remainder 4 | 19 each
19
Elijah had 81 buttons, bought 32 more, gave 14 to a friend, then shared the rest equally among 5 friends. How many does each friend get? 81+32=113 | 113-14=99 | 99/5=19 remainder 4 | 19 each Answer: 19
word problems
very hard
4
6
A shop has 3 boxes with 19 banners each, 12% are sold. How many banners remain?
3*19=57 | 12% of 57=6.8 | 57-6.8=50.2
50.2 banners
A shop has 3 boxes with 19 banners each, 12% are sold. How many banners remain? 3*19=57 | 12% of 57=6.8 | 57-6.8=50.2 Answer: 50.2 banners
word problems
hard
3
6
Work out 2730 divided by 65.
2730 / 65 = 42
42
Work out 2730 divided by 65. 2730 / 65 = 42 Answer: 42
division
easy
1
2
Compare 2 and 12. Which is greater?
12 > 2 | 12 is larger
12 is larger
Compare 2 and 12. Which is greater? 12 > 2 | 12 is larger Answer: 12 is larger
comparison
easy
1
2
Two numbers sum to 83 and differ by -45. What is the larger number?
x+y=83, x-y=-45 | 2x=38 | x=19
64
Two numbers sum to 83 and differ by -45. What is the larger number? x+y=83, x-y=-45 | 2x=38 | x=19 Answer: 64
algebra
very hard
2
6
What is the perimeter of a rectangle 307 by 948?
2*(307+948) = 2*1255 = 2510
2510
What is the perimeter of a rectangle 307 by 948? 2*(307+948) = 2*1255 = 2510 Answer: 2510
geometry
intermediate
2
4
What is 17642 plus 49% of 17642?
49% of 17642 = 8644.6 | 17642 + 8644.6 = 26286.6
26286.6
What is 17642 plus 49% of 17642? 49% of 17642 = 8644.6 | 17642 + 8644.6 = 26286.6 Answer: 26286.6
percentages
hard
3
6
Two numbers sum to 100 and differ by -6. What is the larger number?
x+y=100, x-y=-6 | 2x=94 | x=47
53
Two numbers sum to 100 and differ by -6. What is the larger number? x+y=100, x-y=-6 | 2x=94 | x=47 Answer: 53
algebra
very hard
2
6
Carson had 115 crayons, bought 40 more, gave 24 to a friend, then shared the rest equally among 4 friends. How many does each friend get?
115+40=155 | 155-24=131 | 131/4=32 remainder 3 | 32 each
32
Carson had 115 crayons, bought 40 more, gave 24 to a friend, then shared the rest equally among 4 friends. How many does each friend get? 115+40=155 | 155-24=131 | 131/4=32 remainder 3 | 32 each Answer: 32
word problems
very hard
4
6
What is the perimeter of a rectangle 327 by 969?
2*(327+969) = 2*1296 = 2592
2592
What is the perimeter of a rectangle 327 by 969? 2*(327+969) = 2*1296 = 2592 Answer: 2592
geometry
intermediate
2
4
What is the perimeter of a rectangle 435 by 523?
2*(435+523) = 2*958 = 1916
1916
What is the perimeter of a rectangle 435 by 523? 2*(435+523) = 2*958 = 1916 Answer: 1916
geometry
intermediate
2
4
What is the area of a rectangle 350 by 704?
350 * 704 = 246400
246400
What is the area of a rectangle 350 by 704? 350 * 704 = 246400 Answer: 246400
geometry
intermediate
2
4
Find 1/3 of 555.
555/3 = 185 | 185*1 = 185
185
Find 1/3 of 555. 555/3 = 185 | 185*1 = 185 Answer: 185
fractions
intermediate
2
4
What is 6376.1 - 3399.9?
6376.1 - 3399.9 = 2976.2
2976.2
What is 6376.1 - 3399.9? 6376.1 - 3399.9 = 2976.2 Answer: 2976.2
decimals
intermediate
2
4
What is 662 + 905 * 80?
905 * 80 = 72400 | 662 + 72400 = 73062
73062
What is 662 + 905 * 80? 905 * 80 = 72400 | 662 + 72400 = 73062 Answer: 73062
multi-step arithmetic
intermediate
2
4
Multiply together 23 and 23.
23 * 23 = 529
529
Multiply together 23 and 23. 23 * 23 = 529 Answer: 529
multiplication
easy
1
2
How much is 35% of 49?
49 * 35 = 1715 | 1715/100 = 17.15
17.15
How much is 35% of 49? 49 * 35 = 1715 | 1715/100 = 17.15 Answer: 17.15
percentage
easy
1
2
Calculate 37 percent of 35.
35 * 37 = 1295 | 1295/100 = 12.95
12.95
Calculate 37 percent of 35. 35 * 37 = 1295 | 1295/100 = 12.95 Answer: 12.95
percentage
easy
1
2
What is 829 * 229 + 208?
829*229=189841 | 189841+208=190049
190049
What is 829 * 229 + 208? 829*229=189841 | 189841+208=190049 Answer: 190049
multi-step arithmetic
hard
3
6
Add together 31.8 and 51.4.
31.8 + 51.4 = 83.2
83.2
Add together 31.8 and 51.4. 31.8 + 51.4 = 83.2 Answer: 83.2
addition
easy
1
2
What is 80 * 81?
80 * 81 = 6480
6480
What is 80 * 81? 80 * 81 = 6480 Answer: 6480
multiplication
easy
1
2
Find 42% of 44.6.
44.6 * 42 = 1873.2 | 1873.2/100 = 18.732
18.732
Find 42% of 44.6. 44.6 * 42 = 1873.2 | 1873.2/100 = 18.732 Answer: 18.732
percentage
easy
1
2
A shop has 4 boxes with 11 posters each, 16% are sold. How many posters remain?
4*11=44 | 16% of 44=7 | 44-7=37
37 posters
A shop has 4 boxes with 11 posters each, 16% are sold. How many posters remain? 4*11=44 | 16% of 44=7 | 44-7=37 Answer: 37 posters
word problems
hard
3
6
A shop has 3 boxes with 11 socks each, 30% are sold. How many socks remain?
3*11=33 | 30% of 33=9.9 | 33-9.9=23.1
23.1 socks
A shop has 3 boxes with 11 socks each, 30% are sold. How many socks remain? 3*11=33 | 30% of 33=9.9 | 33-9.9=23.1 Answer: 23.1 socks
word problems
hard
3
6
Share 28448 between A and B in ratio 3:4. How much does A get?
3+4=7 | 28448/7=4064 | 4064*3=12192
12192
Share 28448 between A and B in ratio 3:4. How much does A get? 3+4=7 | 28448/7=4064 | 4064*3=12192 Answer: 12192
ratios
hard
3
6