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Simplify the fraction 14/35.
gcd(14, 35) = 7. Dividing gives 2/5.
2/5
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Convert 6 hours to minutes.
1 hours = 60 minutes, so 6 hours = 6 × 60 = 360 minutes.
360 minutes
units
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A car travels at 49 km/h for 9 hours. How far does it go?
Distance = speed × time = 49 × 9 = 441 km.
441 km
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Divide 54 in the ratio 1:5.
Total parts = 1 + 5 = 6. Each part = 54/6 = 9. Shares = 9 and 45.
9 and 45
ratio
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 10 + 6 × 2 using the order of operations.
Multiply first: 6 × 2 = 12. Then add: 10 + 12 = 22.
22
order-of-operations
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Calculate 375 + 27.
375 + 27 = 402.
402
arithmetic
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 15/35.
gcd(15, 35) = 5. Dividing gives 3/7.
3/7
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
John buys 18 apples at 37 rupees each. How much does John pay in total?
Total = 18 × 37 = 666 rupees.
666
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A car travels at 45 km/h for 2 hours. How far does it go?
Distance = speed × time = 45 × 2 = 90 km.
90 km
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Convert 41 m to cm.
1 m = 100 cm, so 41 m = 41 × 100 = 4100 cm.
4100 cm
units
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is 60% of 170?
60% of 170 = (60/100) × 170 = 102.
102
percentage
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Divide 80 in the ratio 3:5.
Total parts = 3 + 5 = 8. Each part = 80/8 = 10. Shares = 30 and 50.
30 and 50
ratio
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A value of 200 is decreased by 10%. What is the new value?
Change = 10% of 200 = 20. New value = 200 - 20 = 180.
180
percentage
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Divide 6 in the ratio 2:4.
Total parts = 2 + 4 = 6. Each part = 6/6 = 1. Shares = 2 and 4.
2 and 4
ratio
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 15 + 7 × 9 using the order of operations.
Multiply first: 7 × 9 = 63. Then add: 15 + 63 = 78.
78
order-of-operations
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Divide 18 in the ratio 1:5.
Total parts = 1 + 5 = 6. Each part = 18/6 = 3. Shares = 3 and 15.
3 and 15
ratio
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 6 raised to the power 4 (6^4).
6^4 = 6 × 6 × 6 × 6 = 1296.
1296
exponents
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 2/6.
gcd(2, 6) = 2. Dividing gives 1/3.
1/3
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A value of 150 is decreased by 25%. What is the new value?
Change = 25% of 150 = 37.5. New value = 150 - 37.5 = 112.5.
112.5
percentage
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Calculate 68 * 82.
68 * 82 = 5576.
5576
arithmetic
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the average (mean) of these numbers: 29, 63, 94, 58, 12.
Sum = 256, count = 5. Mean = 256/5 = 51.2.
51.2
statistics
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is the next number in the sequence: 3, 11, 19, 27, ... ?
The pattern is arithmetic (adding 8), so the next term is 35.
35
sequences
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Add the fractions 5/2 + 6/3. Give the answer in simplest form.
Common denominator is 6. 5/2 = 15/6, 6/3 = 12/6. Sum = 27/6 = 9/2.
9/2
fractions
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 10/10.
gcd(10, 10) = 10. Dividing gives 1.
1
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A circle has radius 8 cm. Find its area and circumference (use π = 3.14).
Area = πr² = 3.14 × 8² = 200.96 cm². Circumference = 2πr = 2 × 3.14 × 8 = 50.24 cm.
area 200.96 cm^2, circumference 50.24 cm
geometry
hard
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is 10% of 170?
10% of 170 = (10/100) × 170 = 17.
17
percentage
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A rectangle is 16 cm long and 31 cm wide. Find its area and perimeter.
Area = length × width = 16 × 31 = 496 cm². Perimeter = 2 × (16 + 31) = 94 cm.
area 496 cm^2, perimeter 94 cm
geometry
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Solve for x: 2x + 6 = -10.
Subtract +6 from both sides: 2x = -16. Divide by 2: x = -8.
-8
algebra
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 40/35.
gcd(40, 35) = 5. Dividing gives 8/7.
8/7
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A value of 330 is increased by 20%. What is the new value?
Change = 20% of 330 = 66. New value = 330 + 66 = 396.
396
percentage
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is 5% of 190?
5% of 190 = (5/100) × 190 = 9.5.
9.5
percentage
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the GCD and LCM of 50 and 14.
GCD(50, 14) = 2. LCM = (50 × 14) / GCD = 700/2 = 350.
GCD 2, LCM 350
number-theory
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Convert 21 km to m.
1 km = 1000 m, so 21 km = 21 × 1000 = 21000 m.
21000 m
units
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is the next number in the sequence: 10, 30, 90, 270, ... ?
The pattern is geometric (multiplying by 3), so the next term is 810.
810
sequences
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A rectangle is 17 cm long and 26 cm wide. Find its area and perimeter.
Area = length × width = 17 × 26 = 442 cm². Perimeter = 2 × (17 + 26) = 86 cm.
area 442 cm^2, perimeter 86 cm
geometry
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 2 + 12 × 17 using the order of operations.
Multiply first: 12 × 17 = 204. Then add: 2 + 204 = 206.
206
order-of-operations
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Divide 77 in the ratio 2:5.
Total parts = 2 + 5 = 7. Each part = 77/7 = 11. Shares = 22 and 55.
22 and 55
ratio
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A rectangle is 18 cm long and 23 cm wide. Find its area and perimeter.
Area = length × width = 18 × 23 = 414 cm². Perimeter = 2 × (18 + 23) = 82 cm.
area 414 cm^2, perimeter 82 cm
geometry
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 5/5.
gcd(5, 5) = 5. Dividing gives 1.
1
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Calculate 644 - 369.
644 - 369 = 275.
275
arithmetic
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Convert 50 km to m.
1 km = 1000 m, so 50 km = 50 × 1000 = 50000 m.
50000 m
units
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A rectangle is 33 cm long and 23 cm wide. Find its area and perimeter.
Area = length × width = 33 × 23 = 759 cm². Perimeter = 2 × (33 + 23) = 112 cm.
area 759 cm^2, perimeter 112 cm
geometry
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the GCD and LCM of 17 and 47.
GCD(17, 47) = 1. LCM = (17 × 47) / GCD = 799/1 = 799.
GCD 1, LCM 799
number-theory
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 7 + 17 × 12 using the order of operations.
Multiply first: 17 × 12 = 204. Then add: 7 + 204 = 211.
211
order-of-operations
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A rectangle is 14 cm long and 25 cm wide. Find its area and perimeter.
Area = length × width = 14 × 25 = 350 cm². Perimeter = 2 × (14 + 25) = 78 cm.
area 350 cm^2, perimeter 78 cm
geometry
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Add the fractions 2/4 + 2/3. Give the answer in simplest form.
Common denominator is 12. 2/4 = 6/12, 2/3 = 8/12. Sum = 14/12 = 7/6.
7/6
fractions
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the average (mean) of these numbers: 80, 82, 53, 51, 99, 20.
Sum = 385, count = 6. Mean = 385/6 = 64.17.
64.17
statistics
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Divide 42 in the ratio 2:4.
Total parts = 2 + 4 = 6. Each part = 42/6 = 7. Shares = 14 and 28.
14 and 28
ratio
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A value of 270 is decreased by 10%. What is the new value?
Change = 10% of 270 = 27. New value = 270 - 27 = 243.
243
percentage
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Solve for x: 3x - 11 = -29.
Subtract -11 from both sides: 3x = -18. Divide by 3: x = -6.
-6
algebra
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the GCD and LCM of 41 and 38.
GCD(41, 38) = 1. LCM = (41 × 38) / GCD = 1558/1 = 1558.
GCD 1, LCM 1558
number-theory
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A car travels at 60 km/h for 4 hours. How far does it go?
Distance = speed × time = 60 × 4 = 240 km.
240 km
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Solve for x: 3x - 2 = -20.
Subtract -2 from both sides: 3x = -18. Divide by 3: x = -6.
-6
algebra
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Divide 36 in the ratio 4:5.
Total parts = 4 + 5 = 9. Each part = 36/9 = 4. Shares = 16 and 20.
16 and 20
ratio
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Solve for x: 5x + 11 = 31.
Subtract +11 from both sides: 5x = 20. Divide by 5: x = 4.
4
algebra
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Add the fractions 8/2 + 4/7. Give the answer in simplest form.
Common denominator is 14. 8/2 = 56/14, 4/7 = 8/14. Sum = 64/14 = 32/7.
32/7
fractions
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is the next number in the sequence: 7, 21, 63, 189, ... ?
The pattern is geometric (multiplying by 3), so the next term is 567.
567
sequences
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A value of 300 is increased by 25%. What is the new value?
Change = 25% of 300 = 75. New value = 300 + 75 = 375.
375
percentage
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is the next number in the sequence: 8, 11, 14, 17, ... ?
The pattern is arithmetic (adding 3), so the next term is 20.
20
sequences
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 2 raised to the power 4 (2^4).
2^4 = 2 × 2 × 2 × 2 = 16.
16
exponents
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Add the fractions 1/4 + 5/9. Give the answer in simplest form.
Common denominator is 36. 1/4 = 9/36, 5/9 = 20/36. Sum = 29/36 = 29/36.
29/36
fractions
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is the next number in the sequence: 5, 7, 9, 11, ... ?
The pattern is arithmetic (adding 2), so the next term is 13.
13
sequences
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A rectangle is 11 cm long and 17 cm wide. Find its area and perimeter.
Area = length × width = 11 × 17 = 187 cm². Perimeter = 2 × (11 + 17) = 56 cm.
area 187 cm^2, perimeter 56 cm
geometry
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Divide 24 in the ratio 1:3.
Total parts = 1 + 3 = 4. Each part = 24/4 = 6. Shares = 6 and 18.
6 and 18
ratio
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is the next number in the sequence: 10, 19, 28, 37, ... ?
The pattern is arithmetic (adding 9), so the next term is 46.
46
sequences
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the average (mean) of these numbers: 72, 83, 77, 43, 54.
Sum = 329, count = 5. Mean = 329/5 = 65.8.
65.8
statistics
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 18 + 11 × 16 using the order of operations.
Multiply first: 11 × 16 = 176. Then add: 18 + 176 = 194.
194
order-of-operations
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Add the fractions 9/6 + 9/5. Give the answer in simplest form.
Common denominator is 30. 9/6 = 45/30, 9/5 = 54/30. Sum = 99/30 = 33/10.
33/10
fractions
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is 25% of 30?
25% of 30 = (25/100) × 30 = 7.5.
7.5
percentage
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A value of 500 is increased by 20%. What is the new value?
Change = 20% of 500 = 100. New value = 500 + 100 = 600.
600
percentage
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Calculate 715 + 971.
715 + 971 = 1686.
1686
arithmetic
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Add the fractions 3/3 + 8/2. Give the answer in simplest form.
Common denominator is 6. 3/3 = 6/6, 8/2 = 24/6. Sum = 30/6 = 5.
5
fractions
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Convert 47 kg to g.
1 kg = 1000 g, so 47 kg = 47 × 1000 = 47000 g.
47000 g
units
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 9 raised to the power 4 (9^4).
9^4 = 9 × 9 × 9 × 9 = 6561.
6561
exponents
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is 60% of 190?
60% of 190 = (60/100) × 190 = 114.
114
percentage
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 6 + 11 × 8 using the order of operations.
Multiply first: 11 × 8 = 88. Then add: 6 + 88 = 94.
94
order-of-operations
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Convert 24 hours to minutes.
1 hours = 60 minutes, so 24 hours = 24 × 60 = 1440 minutes.
1440 minutes
units
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the average (mean) of these numbers: 79, 55, 64.
Sum = 198, count = 3. Mean = 198/3 = 66.
66
statistics
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Solve for x: 6x + 7 = 1.
Subtract +7 from both sides: 6x = -6. Divide by 6: x = -1.
-1
algebra
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A rectangle is 6 cm long and 17 cm wide. Find its area and perimeter.
Area = length × width = 6 × 17 = 102 cm². Perimeter = 2 × (6 + 17) = 46 cm.
area 102 cm^2, perimeter 46 cm
geometry
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 3 raised to the power 3 (3^3).
3^3 = 3 × 3 × 3 = 27.
27
exponents
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the average (mean) of these numbers: 42, 91, 73, 84.
Sum = 290, count = 4. Mean = 290/4 = 72.5.
72.5
statistics
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Convert 39 kg to g.
1 kg = 1000 g, so 39 kg = 39 × 1000 = 39000 g.
39000 g
units
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A car travels at 61 km/h for 7 hours. How far does it go?
Distance = speed × time = 61 × 7 = 427 km.
427 km
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A rectangle is 4 cm long and 32 cm wide. Find its area and perimeter.
Area = length × width = 4 × 32 = 128 cm². Perimeter = 2 × (4 + 32) = 72 cm.
area 128 cm^2, perimeter 72 cm
geometry
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Add the fractions 1/1 + 6/1. Give the answer in simplest form.
Common denominator is 1. 1/1 = 1/1, 6/1 = 6/1. Sum = 7/1 = 7.
7
fractions
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Lily buys 4 pens at 26 rupees each. How much does Lily pay in total?
Total = 4 × 26 = 104 rupees.
104
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Neha buys 3 boxes at 32 rupees each. How much does Neha pay in total?
Total = 3 × 32 = 96 rupees.
96
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the average (mean) of these numbers: 93, 33, 48, 95, 58.
Sum = 327, count = 5. Mean = 327/5 = 65.4.
65.4
statistics
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Convert 19 km to m.
1 km = 1000 m, so 19 km = 19 × 1000 = 19000 m.
19000 m
units
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Solve for x: 6x - 4 = -58.
Subtract -4 from both sides: 6x = -54. Divide by 6: x = -9.
-9
algebra
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
What is the next number in the sequence: 3, 9, 15, 21, ... ?
The pattern is arithmetic (adding 6), so the next term is 27.
27
sequences
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
A car travels at 82 km/h for 2 hours. How far does it go?
Distance = speed × time = 82 × 2 = 164 km.
164 km
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Maria buys 10 tickets at 13 rupees each. How much does Maria pay in total?
Total = 10 × 13 = 130 rupees.
130
word-problem
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 21/3.
gcd(21, 3) = 3. Dividing gives 7.
7
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Evaluate 9 + 20 × 20 using the order of operations.
Multiply first: 20 × 20 = 400. Then add: 9 + 400 = 409.
409
order-of-operations
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Divide 54 in the ratio 5:1.
Total parts = 5 + 1 = 6. Each part = 54/6 = 9. Shares = 45 and 9.
45 and 9
ratio
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Find the GCD and LCM of 37 and 59.
GCD(37, 59) = 1. LCM = (37 × 59) / GCD = 2183/1 = 2183.
GCD 1, LCM 2183
number-theory
medium
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 72/45.
gcd(72, 45) = 9. Dividing gives 8/5.
8/5
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)
Simplify the fraction 27/12.
gcd(27, 12) = 3. Dividing gives 9/4.
9/4
fractions
easy
Abhilash AI Research Lab (synthetic, programmatically generated; no third-party LLM)