messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 797 mod 863"
},
{
"role": "assistant",
"content": "<reasoning>\n797 mod 863: 797 = 863 × 0 + 797, so remainder = 797.\n</reasoning>\nFinal Answer: 797"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 34 + 40 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×34=1496 and 40×48=1920, then add: 3416.\n</reasoning>\nFinal Answer: 3416"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 59 and height 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 59 × 89 = 2625.5.\n</reasoning>\nFinal Answer: 2625.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 23 = -193"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 12x = -216. Divide by 12: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 930 + -955"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 930 and -955: 930 + -955 = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -788 mod 645"
},
{
"role": "assistant",
"content": "<reasoning>\n-788 mod 645: -788 = 645 × -2 + 502, so remainder = 502.\n</reasoning>\nFinal Answer: 502"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 191 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 191 × (1 - 3/100) = 191 × 0.97 = 185.27.\n</reasoning>\nFinal Answer: 185.27"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10433 at 5% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10433 × 5 × 10 / 100 = 5216.5.\n</reasoning>\nFinal Answer: 5216.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/15 * 11/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/15) × (11/19) = (99/285) = 33/95 after simplification.\n</reasoning>\nFinal Answer: 33/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 520 km apart. Their speeds are 54 km/h and 64 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+64=118 km/h. Time = 520/118 = 4.4068 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 187 km/h. How far does it travel in 7 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 39/60 = 7.6500 hours. Distance = speed × time = 187 × 7.6500 = 1430.55 km.\n</reasoning>\nFinal Answer: 1430.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 29 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 31+841-37=835.\n</reasoning>\nFinal Answer: 835"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [13, 10, 94, 43, 88, 33, 91, 15, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 10 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 13) * (23 - 37)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+13)=58, (23-37)=-14, then 58×-14=-812.\n</reasoning>\nFinal Answer: -812"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 36 and 84."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(36,84) = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [47, 34, 86, 55, 33, 81, 99, 61, 81, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 33 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9470 at 9% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9470 × 9 × 3 / 100 = 2556.9.\n</reasoning>\nFinal Answer: 2556.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 68 and width 54."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(68+54) = 2×122 = 244.\n</reasoning>\nFinal Answer: 244"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:7 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/7, so B = A × (7/29) = 33 × 7/29 = 7.9655.\n</reasoning>\nFinal Answer: 7.9655"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [74, 40, 22, 33, 25, 45, 54, 25, 22, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 387/10 = 38.7.\n</reasoning>\nFinal Answer: 38.7"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -131 ÷ 812"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -131 by 812. -131 ÷ 812 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 40% of 143?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 143 = (40/100) × 143 = 57.2.\n</reasoning>\nFinal Answer: 57.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 68 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 68 × (1 + 80/100) = 68 × 1.8 = 122.4.\n</reasoning>\nFinal Answer: 122.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/3 + 5/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/3 + 5/14. Common denominator = 14. Result = 89/14.\n</reasoning>\nFinal Answer: 89/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 5 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 5 × 2 = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 25 = 157"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 12x = 132. Divide by 12: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 866 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 866 × (1 - 10/100) = 866 × 0.9 = 779.4.\n</reasoning>\nFinal Answer: 779.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹135. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 135 × 12/100 = 16.2. Total = 135 + 16.2 = 151.2.\n</reasoning>\nFinal Answer: 151.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 1 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 6+1-13=-6.\n</reasoning>\nFinal Answer: -6"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [99, 64, 34, 73, 41, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {99: 1, 64: 1, 34: 1, 73: 1, 41: 1, 29: 1}. Most frequent: [99, 64, 34, 73, 41, 29].\n</reasoning>\nFinal Answer: [99, 64, 34, 73, 41, 29]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 71 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 71 × 84 = 5964.\n</reasoning>\nFinal Answer: 5964"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -39 = 431"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 10x = 470. Divide by 10: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 32 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(32,43) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 50 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (50×42)/2 = 1050.\n</reasoning>\nFinal Answer: 1050"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 164 and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(164,15) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -28 = 662"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 23x = 690. Divide by 23: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [30, 8, 86, 5, 16, 58, 94, 72, 2, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 373/10 = 37.3.\n</reasoning>\nFinal Answer: 37.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -141 + -828"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -141 and -828: -141 + -828 = -969.\n</reasoning>\nFinal Answer: -969"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 6 = 256"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 25x = 250. Divide by 25: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:4 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/4, so B = A × (4/21) = 61 × 4/21 = 11.619.\n</reasoning>\nFinal Answer: 11.619"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 23 and height 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 23 × 54 = 621.0.\n</reasoning>\nFinal Answer: 621.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 14 and common difference 19, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 14 + (16-1)×19 = 14 + 285 = 299.\n</reasoning>\nFinal Answer: 299"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -5 = 314"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 11x = 319. Divide by 11: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/10 - 12/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/10 - 12/13. LCD = 13. Result = 1/13.\n</reasoning>\nFinal Answer: 1/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 17 = 510"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 29x = 493. Divide by 29: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -37 = -157"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 6x = -120. Divide by 6: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 996 mod 512"
},
{
"role": "assistant",
"content": "<reasoning>\n996 mod 512: 996 = 512 × 1 + 484, so remainder = 484.\n</reasoning>\nFinal Answer: 484"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 18, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (32-1)×18 = 16 + 558 = 574.\n</reasoning>\nFinal Answer: 574"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [12, 100, 92, 61, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 6 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -33 = 227"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 20x = 260. Divide by 20: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 20 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 20 = 260 worker-days. New time = 260 / 2 = 130.0 days.\n</reasoning>\nFinal Answer: 130.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 30 = 17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 1x = -13. Divide by 1: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/4 * 18/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/4) × (18/17) = (108/68) = 27/17 after simplification.\n</reasoning>\nFinal Answer: 27/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 132 and 74."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(132,74) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -75 + -70"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -75 and -70: -75 + -70 = -145.\n</reasoning>\nFinal Answer: -145"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [78, 85, 95, 15, 9, 97, 39, 24, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 9 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -474 mod -616"
},
{
"role": "assistant",
"content": "<reasoning>\n-474 mod -616: -474 = -616 × 0 + -474, so remainder = -474.\n</reasoning>\nFinal Answer: -474"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [10, 6, 29, 41, 29, 42, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 238/7 = 34.0.\n</reasoning>\nFinal Answer: 34.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 778 km apart. Their speeds are 103 km/h and 68 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 103+68=171 km/h. Time = 778/171 = 4.5497 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -826 + 629"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -826 and 629: -826 + 629 = -197.\n</reasoning>\nFinal Answer: -197"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹471. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 471 × 18/100 = 84.78. Total = 471 + 84.78 = 555.78.\n</reasoning>\nFinal Answer: 555.78"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 348 + -494"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 348 and -494: 348 + -494 = -146.\n</reasoning>\nFinal Answer: -146"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/5 * 19/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/5) × (19/20) = (247/100) = 247/100 after simplification.\n</reasoning>\nFinal Answer: 247/100"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 888 ÷ -732"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 888 by -732. 888 ÷ -732 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 4/8 / 15/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/8) ÷ (15/9) = (4/8) × (9/15) = 3/10.\n</reasoning>\nFinal Answer: 3/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/6 - 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/6 - 15/18. LCD = 6. Result = 1/2.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [5, 72, 33, 92, 52, 96, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 5 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 263 ÷ -308"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 263 by -308. 263 ÷ -308 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 690 mod 404"
},
{
"role": "assistant",
"content": "<reasoning>\n690 mod 404: 690 = 404 × 1 + 286, so remainder = 286.\n</reasoning>\nFinal Answer: 286"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:17 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/17, so B = A × (17/11) = 92 × 17/11 = 142.1818.\n</reasoning>\nFinal Answer: 142.1818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 2/8 - 10/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/8 - 10/5. LCD = 4. Result = -7/4.\n</reasoning>\nFinal Answer: -7/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 218 + -495"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 218 and -495: 218 + -495 = -277.\n</reasoning>\nFinal Answer: -277"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 86 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 86 × 4 = 344.\n</reasoning>\nFinal Answer: 344"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 29 and common difference 12, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 29 + (17-1)×12 = 29 + 192 = 221.\n</reasoning>\nFinal Answer: 221"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 8 + 28 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×8=88 and 28×36=1008, then add: 1096.\n</reasoning>\nFinal Answer: 1096"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹2876. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2876 × 5/100 = 143.8. Total = 2876 + 143.8 = 3019.8.\n</reasoning>\nFinal Answer: 3019.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -296 - -617"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -617 from -296: -296 - -617 = 321.\n</reasoning>\nFinal Answer: 321"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -247 mod 219"
},
{
"role": "assistant",
"content": "<reasoning>\n-247 mod 219: -247 = 219 × -2 + 191, so remainder = 191.\n</reasoning>\nFinal Answer: 191"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 133 apples and buys 69 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 133 + 69 = 202.\n</reasoning>\nFinal Answer: 202"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [8, 16, 17, 18] and B = [1, 3, 4, 8, 13, 17, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8, 17, 18].\n</reasoning>\nFinal Answer: [8, 17, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [32, 50, 12, 58, 5, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 58 - 5 = 53.\n</reasoning>\nFinal Answer: 53"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 36 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 36 × 12 = 432.\n</reasoning>\nFinal Answer: 432"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 15% of 463?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 463 = (15/100) × 463 = 69.45.\n</reasoning>\nFinal Answer: 69.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 7 = -1033"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 26x = -1040. Divide by 26: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 17, 2 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (17+2) × 24 = 228.0.\n</reasoning>\nFinal Answer: 228.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "120 is what percentage of 234?"
},
{
"role": "assistant",
"content": "<reasoning>\n(120/234) × 100 = 51.2821%.\n</reasoning>\nFinal Answer: 51.2821%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 37 * 29 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×29=1073, then 32+1073-12=1093.\n</reasoning>\nFinal Answer: 1093"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 12. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 12² = π × 144 ≈ 452.3893.\n</reasoning>\nFinal Answer: 452.3893"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Simplify: 10/15 * 20/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/15) × (20/8) = (200/120) = 5/3 after simplification.\n</reasoning>\nFinal Answer: 5/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:29 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/29, so B = A × (29/11) = 1 × 29/11 = 2.6364.\n</reasoning>\nFinal Answer: 2.6364"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹1913. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1913 × 28/100 = 535.64. Total = 1913 + 535.64 = 2448.64.\n</reasoning>\nFinal Answer: 2448.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/8 - 2/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/8 - 2/6. LCD = 6. Result = 13/6.\n</reasoning>\nFinal Answer: 13/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -545 mod -250"
},
{
"role": "assistant",
"content": "<reasoning>\n-545 mod -250: -545 = -250 × 2 + -45, so remainder = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 512 × -521"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 512 by -521: 512 × -521 = -266752.\n</reasoning>\nFinal Answer: -266752"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/2 / 11/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/2) ÷ (11/16) = (9/2) × (16/11) = 72/11.\n</reasoning>\nFinal Answer: 72/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 57 and width 17."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(57+17) = 2×74 = 148.\n</reasoning>\nFinal Answer: 148"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Decrease 481 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 481 × (1 - 45/100) = 481 × 0.55 = 264.55.\n</reasoning>\nFinal Answer: 264.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 480 × -666"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 480 by -666: 480 × -666 = -319680.\n</reasoning>\nFinal Answer: -319680"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -656 ÷ -406"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -656 by -406. -656 ÷ -406 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 51 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 51 × 34 = 867.0.\n</reasoning>\nFinal Answer: 867.0"
}
] | easy | [
"geometry",
"area"
] |
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