messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Ravi has 72 apples and buys 23 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 72 + 23 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -29 = 331"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 20x = 360. Divide by 20: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [60, 80, 15, 92, 37, 89, 88, 66, 81, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {60: 1, 80: 1, 15: 1, 92: 1, 37: 1, 89: 1, 88: 1, 66: 1, 81: 1, 34: 1}. Most frequent: [60, 80, 15, 92, 37, 89, 88, 66, 81, 34].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 32 and common difference 15, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 32 + (38-1)×15 = 32 + 555 = 587.\n</reasoning>\nFinal Answer: 587"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 114 mod 223"
},
{
"role": "assistant",
"content": "<reasoning>\n114 mod 223: 114 = 223 × 0 + 114, so remainder = 114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 675 × 554"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 675 by 554: 675 × 554 = 373950.\n</reasoning>\nFinal Answer: 373950"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -996 ÷ -888"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -996 by -888. -996 ÷ -888 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 9 = -65"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 2x = -74. Divide by 2: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 6 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 4+36-42=-2.\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 13 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 13 = 52 worker-days. New time = 52 / 18 = 2.8889 days.\n</reasoning>\nFinal Answer: 2.8889"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -131 × -737"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -131 by -737: -131 × -737 = 96547.\n</reasoning>\nFinal Answer: 96547"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 27, 21 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (27+21) × 31 = 744.0.\n</reasoning>\nFinal Answer: 744.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 482 + 890"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 482 and 890: 482 + 890 = 1372.\n</reasoning>\nFinal Answer: 1372"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 680 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 680 × (1 - 60/100) = 680 × 0.4 = 272.0.\n</reasoning>\nFinal Answer: 272.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 281 km apart. Their speeds are 108 km/h and 81 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 108+81=189 km/h. Time = 281/189 = 1.4868 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 100 and width 84."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(100+84) = 2×184 = 368.\n</reasoning>\nFinal Answer: 368"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹3225. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3225 × 12/100 = 387.0. Total = 3225 + 387.0 = 3612.0.\n</reasoning>\nFinal Answer: 3612.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -37 = -29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 2x = 8. Divide by 2: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 5 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 5 = 45 worker-days. New time = 45 / 14 = 3.2143 days.\n</reasoning>\nFinal Answer: 3.2143"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 982 × 151"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 982 by 151: 982 × 151 = 148282.\n</reasoning>\nFinal Answer: 148282"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (36 + 20) * (12 - 14)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (36+20)=56, (12-14)=-2, then 56×-2=-112.\n</reasoning>\nFinal Answer: -112"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 235 × 779"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 235 by 779: 235 × 779 = 183065.\n</reasoning>\nFinal Answer: 183065"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 9, 11, 12, 13] and B = [2, 6, 10, 13, 15, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 6, 9, 10, 11, 12, 13, 15, 17].\n</reasoning>\nFinal Answer: [1, 2, 3, 6... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -16 = 32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 16x = 48. Divide by 16: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 658 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 658 × (1 - 100/100) = 658 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -116 - 555"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 555 from -116: -116 - 555 = -671.\n</reasoning>\nFinal Answer: -671"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 9 = -207"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 12x = -216. Divide by 12: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 182 ÷ 232"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 182 by 232. 182 ÷ 232 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -33 = 23"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 28x = 56. Divide by 28: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹24731 at 8% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 24731 × 8 × 7 / 100 = 13849.36.\n</reasoning>\nFinal Answer: 13849.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -1 = -177"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 22x = -176. Divide by 22: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -216 mod 845"
},
{
"role": "assistant",
"content": "<reasoning>\n-216 mod 845: -216 = 845 × -1 + 629, so remainder = 629.\n</reasoning>\nFinal Answer: 629"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "16 is what percentage of 95?"
},
{
"role": "assistant",
"content": "<reasoning>\n(16/95) × 100 = 16.8421%.\n</reasoning>\nFinal Answer: 16.8421%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 75% of 610?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 610 = (75/100) × 610 = 457.5.\n</reasoning>\nFinal Answer: 457.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 987 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 987 × (1 - 30/100) = 987 × 0.7 = 690.9.\n</reasoning>\nFinal Answer: 690.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -46 = 986"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 24x = 1032. Divide by 24: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 65% of 454?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 454 = (65/100) × 454 = 295.1.\n</reasoning>\nFinal Answer: 295.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:39 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/39, so B = A × (39/22) = 45 × 39/22 = 79.7727.\n</reasoning>\nFinal Answer: 79.7727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [4, 49, 6, 59, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 6, 43, 49, 59]. Middle value(s) → median = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 0 = 29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 29x = 29. Divide by 29: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 690 - -782"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -782 from 690: 690 - -782 = 1472.\n</reasoning>\nFinal Answer: 1472"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -41 = 559"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 25x = 600. Divide by 25: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 30 = 14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 16x = -16. Divide by 16: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/16 * 7/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/16) × (7/8) = (98/128) = 49/64 after simplification.\n</reasoning>\nFinal Answer: 49/64"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 31 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 17+961-34=944.\n</reasoning>\nFinal Answer: 944"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 181 and 96."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(181,96) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -11 = -187"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 16x = -176. Divide by 16: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 111 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 111 × (1 - 80/100) = 111 × 0.19999999999999996 = 22.2.\n</reasoning>\nFinal Answer: 22.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 76 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 76 × (1 + 7/100) = 76 × 1.07 = 81.32.\n</reasoning>\nFinal Answer: 81.32"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 184 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 184 × (1 + 15/100) = 184 × 1.15 = 211.6.\n</reasoning>\nFinal Answer: 211.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 552 km apart. Their speeds are 76 km/h and 53 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 76+53=129 km/h. Time = 552/129 = 4.2791 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 20 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 20²=400, then 10+400-24=386.\n</reasoning>\nFinal Answer: 386"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16430 at 19% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16430 × 19 × 9 / 100 = 28095.3.\n</reasoning>\nFinal Answer: 28095.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 19, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (13-1)×19 = 8 + 228 = 236.\n</reasoning>\nFinal Answer: 236"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹1629. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1629 × 5/100 = 81.45. Total = 1629 + 81.45 = 1710.45.\n</reasoning>\nFinal Answer: 1710.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 12% of 941?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 941 = (12/100) × 941 = 112.92.\n</reasoning>\nFinal Answer: 112.92"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 9, 11, 12, 17, 18] and B = [2, 3, 7, 13, 14, 16, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18].\n</reasoning>\nFinal Answ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 13/13 + 8/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/13 + 8/2. Common denominator = 1. Result = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 458 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 458 × (1 - 50/100) = 458 × 0.5 = 229.0.\n</reasoning>\nFinal Answer: 229.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 596 - -588"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -588 from 596: 596 - -588 = 1184.\n</reasoning>\nFinal Answer: 1184"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -44 = 256"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 12x = 300. Divide by 12: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (28)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 28² - 4×4×0 = 784. √discriminant = 28. x = (-(28) ± 28) / (2×4). Solutions: x = -7 or x = 0.\n</reasoning>\nFinal Answer: x = -7 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -419 + 529"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -419 and 529: -419 + 529 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -11 = 220"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 7x = 231. Divide by 7: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -159 - 202"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 202 from -159: -159 - 202 = -361.\n</reasoning>\nFinal Answer: -361"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/6 - 18/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/6 - 18/8. LCD = 4. Result = -1/4.\n</reasoning>\nFinal Answer: -1/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -346 - -453"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -453 from -346: -346 - -453 = 107.\n</reasoning>\nFinal Answer: 107"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39482 at 4% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39482 × 4 × 4 / 100 = 6317.12.\n</reasoning>\nFinal Answer: 6317.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 22 = -938"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 30x = -960. Divide by 30: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [91, 12, 67, 21, 23, 73, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 322/7 = 46.0.\n</reasoning>\nFinal Answer: 46.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 206 mod -982"
},
{
"role": "assistant",
"content": "<reasoning>\n206 mod -982: 206 = -982 × -1 + -776, so remainder = -776.\n</reasoning>\nFinal Answer: -776"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A bag has 7 red and 6 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 7/13 = 0.5385.\n</reasoning>\nFinal Answer: 0.5385"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 24, and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 24 + 29 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 406 + 371"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 406 and 371: 406 + 371 = 777.\n</reasoning>\nFinal Answer: 777"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "177 is what percentage of 185?"
},
{
"role": "assistant",
"content": "<reasoning>\n(177/185) × 100 = 95.6757%.\n</reasoning>\nFinal Answer: 95.6757%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 40 = 420"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 19x = 380. Divide by 19: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/17 - 9/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/17 - 9/15. LCD = 85. Result = -26/85.\n</reasoning>\nFinal Answer: -26/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 990 ÷ -572"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 990 by -572. 990 ÷ -572 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 17 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 17 = 102 worker-days. New time = 102 / 10 = 10.2 days.\n</reasoning>\nFinal Answer: 10.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [36, 6, 96, 57, 9, 14, 47, 47, 53, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 435/10 = 43.5.\n</reasoning>\nFinal Answer: 43.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:9 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/9, so B = A × (9/45) = 32 × 9/45 = 6.4.\n</reasoning>\nFinal Answer: 6.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 371 - 424"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 424 from 371: 371 - 424 = -53.\n</reasoning>\nFinal Answer: -53"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 96 and width 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 96 × 26 = 2496.\n</reasoning>\nFinal Answer: 2496"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -216 + 158"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -216 and 158: -216 + 158 = -58.\n</reasoning>\nFinal Answer: -58"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 8, 9, 10, 11, 16, 17] and B = [4, 6, 12, 13, 15, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 9, 10, 11, 16, 17].\n</reasoning>\nFinal Answer: [8, 9, 10, 11, 16... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -236 + -684"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -236 and -684: -236 + -684 = -920.\n</reasoning>\nFinal Answer: -920"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [95, 34, 41, 15, 75, 48, 51, 61, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 438/9 = 48.6667.\n</reasoning>\nFinal Answer: 48.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 280 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 280 × (1 + 17/100) = 280 × 1.17 = 327.6.\n</reasoning>\nFinal Answer: 327.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 0 = 216"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 9x = 216. Divide by 9: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "709 is what percentage of 796?"
},
{
"role": "assistant",
"content": "<reasoning>\n(709/796) × 100 = 89.0704%.\n</reasoning>\nFinal Answer: 89.0704%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 28 and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (28×38)/2 = 532.\n</reasoning>\nFinal Answer: 532"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Increase 742 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 742 × (1 + 90/100) = 742 × 1.9 = 1409.8.\n</reasoning>\nFinal Answer: 1409.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -824 ÷ -337"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -824 by -337. -824 ÷ -337 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 27 * 29 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×29=783, then 3+783-33=753.\n</reasoning>\nFinal Answer: 753"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [97, 80, 41, 65, 9, 64, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 41, 64, 65, 80, 88, 97]. Middle value(s) → median = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "106 is what percentage of 549?"
},
{
"role": "assistant",
"content": "<reasoning>\n(106/549) × 100 = 19.3078%.\n</reasoning>\nFinal Answer: 19.3078%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹4940. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4940 × 18/100 = 889.2. Total = 4940 + 889.2 = 5829.2.\n</reasoning>\nFinal Answer: 5829.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 11, 19] and B = [2, 11, 12, 15, 16], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 7, 19].\n</reasoning>\nFinal Answer: [3, 7, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 21 + 38 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×21=945 and 38×29=1102, then add: 2047.\n</reasoning>\nFinal Answer: 2047"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/18 * 12/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/18) × (12/17) = (132/306) = 22/51 after simplification.\n</reasoning>\nFinal Answer: 22/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
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