messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 44:48 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/48, so B = A × (48/44) = 90 × 48/44 = 98.1818.\n</reasoning>\nFinal Answer: 98.1818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 31 and width 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 31 × 26 = 806.\n</reasoning>\nFinal Answer: 806"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 525 × 196"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 525 by 196: 525 × 196 = 102900.\n</reasoning>\nFinal Answer: 102900"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 19) * (37 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+19)=60, (37-38)=-1, then 60×-1=-60.\n</reasoning>\nFinal Answer: -60"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 671 × 879"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 671 by 879: 671 × 879 = 589809.\n</reasoning>\nFinal Answer: 589809"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 30 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 17+900-33=884.\n</reasoning>\nFinal Answer: 884"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 75 apples and buys 53 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 75 + 53 = 128.\n</reasoning>\nFinal Answer: 128"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 15 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(15+25) = 2×40 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 73 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 73 × 7 = 255.5.\n</reasoning>\nFinal Answer: 255.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13393 at 10% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13393 × 10 × 3 / 100 = 4017.9.\n</reasoning>\nFinal Answer: 4017.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 27 * 4 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×4=108, then 1+108-32=77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 49 = 337"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 24x = 288. Divide by 24: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -663 mod 128"
},
{
"role": "assistant",
"content": "<reasoning>\n-663 mod 128: -663 = 128 × -6 + 105, so remainder = 105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 1 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 1 × 40 = 20.0.\n</reasoning>\nFinal Answer: 20.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 28 + 28 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×28=756 and 28×19=532, then add: 1288.\n</reasoning>\nFinal Answer: 1288"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -868 × -484"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -868 by -484: -868 × -484 = 420112.\n</reasoning>\nFinal Answer: 420112"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/3 + 10/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/3 + 10/13. Common denominator = 39. Result = 251/39.\n</reasoning>\nFinal Answer: 251/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/11 / 5/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/11) ÷ (5/15) = (16/11) × (15/5) = 48/11.\n</reasoning>\nFinal Answer: 48/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "10 is what percentage of 476?"
},
{
"role": "assistant",
"content": "<reasoning>\n(10/476) × 100 = 2.1008%.\n</reasoning>\nFinal Answer: 2.1008%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -9 mod 333"
},
{
"role": "assistant",
"content": "<reasoning>\n-9 mod 333: -9 = 333 × -1 + 324, so remainder = 324.\n</reasoning>\nFinal Answer: 324"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 725 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 725 × (1 + 12/100) = 725 × 1.12 = 812.0.\n</reasoning>\nFinal Answer: 812.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 - 15/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/9 - 15/9. LCD = 9. Result = -11/9.\n</reasoning>\nFinal Answer: -11/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 978 mod 438"
},
{
"role": "assistant",
"content": "<reasoning>\n978 mod 438: 978 = 438 × 2 + 102, so remainder = 102.\n</reasoning>\nFinal Answer: 102"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/15 / 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/15) ÷ (14/1) = (2/15) × (1/14) = 1/105.\n</reasoning>\nFinal Answer: 1/105"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [10, 28, 56, 66, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 28, 56, 66, 77]. Middle value(s) → median = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:40 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/40, so B = A × (40/4) = 23 × 40/4 = 230.0.\n</reasoning>\nFinal Answer: 230.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [11, 20, 29, 38, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 11 and common difference 9. Next term = 47 + 9 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 734 - 214"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 214 from 734: 734 - 214 = 520.\n</reasoning>\nFinal Answer: 520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 890 - 890"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 890 from 890: 890 - 890 = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -31 = -974"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 23x = -943. Divide by 23: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 548 - 582"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 582 from 548: 548 - 582 = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 15 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 15 × 79 = 592.5.\n</reasoning>\nFinal Answer: 592.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:12 and A = 7, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/12, so B = A × (12/25) = 7 × 12/25 = 3.36.\n</reasoning>\nFinal Answer: 3.36"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 100 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 100 × 62 = 3100.0.\n</reasoning>\nFinal Answer: 3100.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 196 apples and buys 95 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 196 + 95 = 291.\n</reasoning>\nFinal Answer: 291"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/18 + 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/18 + 15/18. Common denominator = 18. Result = 16/9.\n</reasoning>\nFinal Answer: 16/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/12 + 20/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/12 + 20/5. Common denominator = 12. Result = 67/12.\n</reasoning>\nFinal Answer: 67/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -24 = -122"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 7x = -98. Divide by 7: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 190 km/h. How far does it travel in 11 hours and 53 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 53/60 = 11.8833 hours. Distance = speed × time = 190 × 11.8833 = 2257.8333 km.\n</reasoning>\nFinal Answer: 2257.8333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -45 = 449"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 19x = 494. Divide by 19: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -13 = -22"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 1x = -9. Divide by 1: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/10 / 6/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/10) ÷ (6/19) = (15/10) × (19/6) = 19/4.\n</reasoning>\nFinal Answer: 19/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 144 apples and buys 39 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 144 + 39 = 183.\n</reasoning>\nFinal Answer: 183"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 427 km apart. Their speeds are 90 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 90+89=179 km/h. Time = 427/179 = 2.3855 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 196 km apart. Their speeds are 79 km/h and 107 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 79+107=186 km/h. Time = 196/186 = 1.0538 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 178 and 83."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(178,83) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "A train travels at 139 km/h. How far does it travel in 2 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 18/60 = 2.3000 hours. Distance = speed × time = 139 × 2.3000 = 319.7 km.\n</reasoning>\nFinal Answer: 319.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -50 = -186"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 8x = -136. Divide by 8: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1645. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1645 × 5/100 = 82.25. Total = 1645 + 82.25 = 1727.25.\n</reasoning>\nFinal Answer: 1727.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [75, 68, 97, 37, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {75: 1, 68: 1, 97: 1, 37: 1, 33: 1}. Most frequent: [75, 68, 97, 37, 33].\n</reasoning>\nFinal Answer: [75, 68, 97, 37, 33]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Decrease 456 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 456 × (1 - 15/100) = 456 × 0.85 = 387.6.\n</reasoning>\nFinal Answer: 387.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [19, 73, 79, 60, 66, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 79 - 19 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 1/4 + 14/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/4 + 14/9. Common denominator = 36. Result = 65/36.\n</reasoning>\nFinal Answer: 65/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/1 / 3/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/1) ÷ (3/14) = (9/1) × (14/3) = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [5, 6, 94, 77, 71, 83, 68, 98, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 5 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -343 - -474"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -474 from -343: -343 - -474 = 131.\n</reasoning>\nFinal Answer: 131"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [97, 64, 74, 18, 44, 10, 52, 92, 90, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 10 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 11/3 * 18/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/3) × (18/3) = (198/9) = 22 after simplification.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -9 = 855"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 24x = 864. Divide by 24: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 474 mod -212"
},
{
"role": "assistant",
"content": "<reasoning>\n474 mod -212: 474 = -212 × -3 + -162, so remainder = -162.\n</reasoning>\nFinal Answer: -162"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 15 and height 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 15 × 71 = 1065.\n</reasoning>\nFinal Answer: 1065"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 563 × 804"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 563 by 804: 563 × 804 = 452652.\n</reasoning>\nFinal Answer: 452652"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [57, 95, 35, 50, 32, 39, 75, 60, 37, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [32, 35, 37, 39, 41, 50, 57, 60, 75, 95]. Middle value(s) → median = 45.5.\n</reasoning>\nFinal Answer: 45.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 528 km apart. Their speeds are 98 km/h and 87 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 98+87=185 km/h. Time = 528/185 = 2.8541 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 189 km/h. How far does it travel in 5 hours and 43 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 43/60 = 5.7167 hours. Distance = speed × time = 189 × 5.7167 = 1080.45 km.\n</reasoning>\nFinal Answer: 1080.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 37 × 650"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 37 by 650: 37 × 650 = 24050.\n</reasoning>\nFinal Answer: 24050"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -33 = -138"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 21x = -105. Divide by 21: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/12 + 9/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/12 + 9/17. Common denominator = 204. Result = 397/204.\n</reasoning>\nFinal Answer: 397/204"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 415 × -607"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 415 by -607: 415 × -607 = -251905.\n</reasoning>\nFinal Answer: -251905"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 3 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 49+9-1=57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 187 and 163."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(187,163) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Ravi has 44 apples and buys 17 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 44 + 17 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 40 * 39 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×39=1560, then 24+1560-25=1559.\n</reasoning>\nFinal Answer: 1559"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 988 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 988 × (1 - 70/100) = 988 × 0.30000000000000004 = 296.4.\n</reasoning>\nFinal Answer: 296.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 45 + 24 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×45=1305 and 24×22=528, then add: 1833.\n</reasoning>\nFinal Answer: 1833"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 17 + 29 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×17=595 and 29×12=348, then add: 943.\n</reasoning>\nFinal Answer: 943"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 327 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 327 × (1 + 10/100) = 327 × 1.1 = 359.7.\n</reasoning>\nFinal Answer: 359.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 17% of 758?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 758 = (17/100) × 758 = 128.86.\n</reasoning>\nFinal Answer: 128.86"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:45 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/45, so B = A × (45/18) = 38 × 45/18 = 95.0.\n</reasoning>\nFinal Answer: 95.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 83 km/h. How far does it travel in 4 hours and 48 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 48/60 = 4.8000 hours. Distance = speed × time = 83 × 4.8000 = 398.4 km.\n</reasoning>\nFinal Answer: 398.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 767 ÷ -914"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 767 by -914. 767 ÷ -914 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 123 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 123 × (1 - 60/100) = 123 × 0.4 = 49.2.\n</reasoning>\nFinal Answer: 49.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [98, 65, 5, 56, 79, 97, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 432/7 = 61.7143.\n</reasoning>\nFinal Answer: 61.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 16, 19] and B = [2, 10, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 7, 8, 10, 16, 19].\n</reasoning>\nFinal Answer: [2, 7, 8, 10, 16, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 16/16 / 8/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/16) ÷ (8/15) = (16/16) × (15/8) = 15/8.\n</reasoning>\nFinal Answer: 15/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 20. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 20² = π × 400 ≈ 1256.6371.\n</reasoning>\nFinal Answer: 1256.6371"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 25 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+25) × 13 = 364.0.\n</reasoning>\nFinal Answer: 364.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2056 at 5% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2056 × 5 × 8 / 100 = 822.4.\n</reasoning>\nFinal Answer: 822.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 46 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 11+2116-1=2126.\n</reasoning>\nFinal Answer: 2126"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 21 = -483"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 12x = -504. Divide by 12: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 29 apples and buys 2 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 29 + 2 = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [42, 34, 40, 82, 55, 65, 35, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 34 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 14/12 + 8/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/12 + 8/2. Common denominator = 6. Result = 31/6.\n</reasoning>\nFinal Answer: 31/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:38 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/38, so B = A × (38/6) = 13 × 38/6 = 82.3333.\n</reasoning>\nFinal Answer: 82.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 155 × 433"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 155 by 433: 155 × 433 = 67115.\n</reasoning>\nFinal Answer: 67115"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:21 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/21, so B = A × (21/8) = 13 × 21/8 = 34.125.\n</reasoning>\nFinal Answer: 34.125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -50 = -975"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 25x = -925. Divide by 25: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:49 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/49, so B = A × (49/28) = 92 × 49/28 = 161.0.\n</reasoning>\nFinal Answer: 161.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -28 = 10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 1x = 38. Divide by 1: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 569 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 569 × (1 - 7/100) = 569 × 0.9299999999999999 = 529.17.\n</reasoning>\nFinal Answer: 529.17"
}
] | easy | [
"percentage",
"arithmetic"
] |
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