messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 193 and 189."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(193,189) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 44 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+44) × 23 = 966.0.\n</reasoning>\nFinal Answer: 966.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -1 = 551"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 23x = 552. Divide by 23: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/1 - 6/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/1 - 6/16. LCD = 8. Result = 53/8.\n</reasoning>\nFinal Answer: 53/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -247 mod -252"
},
{
"role": "assistant",
"content": "<reasoning>\n-247 mod -252: -247 = -252 × 0 + -247, so remainder = -247.\n</reasoning>\nFinal Answer: -247"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 87."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 87 = 348.\n</reasoning>\nFinal Answer: 348"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:50 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/50, so B = A × (50/19) = 41 × 50/19 = 107.8947.\n</reasoning>\nFinal Answer: 107.8947"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 276 mod 433"
},
{
"role": "assistant",
"content": "<reasoning>\n276 mod 433: 276 = 433 × 0 + 276, so remainder = 276.\n</reasoning>\nFinal Answer: 276"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 80% of 435?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 435 = (80/100) × 435 = 348.0.\n</reasoning>\nFinal Answer: 348.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 27 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 27 = 351 worker-days. New time = 351 / 17 = 20.6471 days.\n</reasoning>\nFinal Answer: 20.6471"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 10% of 953?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 953 = (10/100) × 953 = 95.3.\n</reasoning>\nFinal Answer: 95.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 37 and height 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 37 × 98 = 3626.\n</reasoning>\nFinal Answer: 3626"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -16 = -100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 28x = -84. Divide by 28: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 45."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×45)/3 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 2/12 + 6/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/12 + 6/19. Common denominator = 114. Result = 55/114.\n</reasoning>\nFinal Answer: 55/114"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 12] and B = [2, 5, 8, 10, 16, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 5].\n</reasoning>\nFinal Answer: [2, 5]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 112 + 88"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 112 and 88: 112 + 88 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -453 ÷ -172"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -453 by -172. -453 ÷ -172 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 9) * (42 - 19)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+9)=31, (42-19)=23, then 31×23=713.\n</reasoning>\nFinal Answer: 713"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -696 × -185"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -696 by -185: -696 × -185 = 128760.\n</reasoning>\nFinal Answer: 128760"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 585 + 826"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 585 and 826: 585 + 826 = 1411.\n</reasoning>\nFinal Answer: 1411"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "List all positive factors of 63."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 63: factors are [1, 3, 7, 9, 21, 63].\n</reasoning>\nFinal Answer: [1, 3, 7, 9, 21, 63]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Simplify: 16/11 - 6/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/11 - 6/3. LCD = 11. Result = -6/11.\n</reasoning>\nFinal Answer: -6/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 65% of 151?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 151 = (65/100) × 151 = 98.15.\n</reasoning>\nFinal Answer: 98.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 843 mod -80"
},
{
"role": "assistant",
"content": "<reasoning>\n843 mod -80: 843 = -80 × -11 + -37, so remainder = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/14 - 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/14 - 4/5. LCD = 10. Result = -3/10.\n</reasoning>\nFinal Answer: -3/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 40 = -657"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 17x = -697. Divide by 17: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -644 - -759"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -759 from -644: -644 - -759 = 115.\n</reasoning>\nFinal Answer: 115"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 190 km apart. Their speeds are 77 km/h and 94 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 77+94=171 km/h. Time = 190/171 = 1.1111 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹167. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 167 × 18/100 = 30.06. Total = 167 + 30.06 = 197.06.\n</reasoning>\nFinal Answer: 197.06"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/18 * 1/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/18) × (1/16) = (4/288) = 1/72 after simplification.\n</reasoning>\nFinal Answer: 1/72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -14 ÷ 264"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -14 by 264. -14 ÷ 264 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 915 + 674"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 915 and 674: 915 + 674 = 1589.\n</reasoning>\nFinal Answer: 1589"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 8) * (15 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+8)=58, (15-38)=-23, then 58×-23=-1334.\n</reasoning>\nFinal Answer: -1334"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/2 + 13/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/2 + 13/3. Common denominator = 3. Result = 28/3.\n</reasoning>\nFinal Answer: 28/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 336."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 336 by smallest primes repeatedly: 336 = 2 × 2 × 2 × 2 × 3 × 7.\n</reasoning>\nFinal Answer: 2 × 2 × 2 × 2 × 3 × 7"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the range of: [69, 47, 85, 25, 48, 20, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 20 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 40) * (29 - 43)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+40)=64, (29-43)=-14, then 64×-14=-896.\n</reasoning>\nFinal Answer: -896"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 86 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(86,27) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹4645. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4645 × 5/100 = 232.25. Total = 4645 + 232.25 = 4877.25.\n</reasoning>\nFinal Answer: 4877.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:8 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/8, so B = A × (8/6) = 73 × 8/6 = 97.3333.\n</reasoning>\nFinal Answer: 97.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [38, 40, 6, 66, 35, 43, 71, 45, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 6 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 981 km apart. Their speeds are 41 km/h and 50 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 41+50=91 km/h. Time = 981/91 = 10.7802 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 33 = 132.\n</reasoning>\nFinal Answer: 132"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 13/13 / 8/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/13) ÷ (8/12) = (13/13) × (12/8) = 3/2.\n</reasoning>\nFinal Answer: 3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 * 6/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/4) × (6/9) = (78/36) = 13/6 after simplification.\n</reasoning>\nFinal Answer: 13/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 32 = -481"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 27x = -513. Divide by 27: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -19 = -79"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 5x = -60. Divide by 5: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:35 and A = 61, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/35, so B = A × (35/42) = 61 × 35/42 = 50.8333.\n</reasoning>\nFinal Answer: 50.8333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 70 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(70+60) = 2×130 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 35) * (43 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+35)=77, (43-28)=15, then 77×15=1155.\n</reasoning>\nFinal Answer: 1155"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -754 + -274"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -754 and -274: -754 + -274 = -1028.\n</reasoning>\nFinal Answer: -1028"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -949 ÷ 239"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -949 by 239. -949 ÷ 239 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -239 mod 886"
},
{
"role": "assistant",
"content": "<reasoning>\n-239 mod 886: -239 = 886 × -1 + 647, so remainder = 647.\n</reasoning>\nFinal Answer: 647"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 12 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (12×2)/2 = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 24 = 269"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 5x = 245. Divide by 5: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹536. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 536 × 5/100 = 26.8. Total = 536 + 26.8 = 562.8.\n</reasoning>\nFinal Answer: 562.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 894 ÷ 850"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 894 by 850. 894 ÷ 850 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/8 / 7/9"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/8) ÷ (7/9) = (19/8) × (9/7) = 171/56.\n</reasoning>\nFinal Answer: 171/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:12 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/12, so B = A × (12/24) = 73 × 12/24 = 36.5.\n</reasoning>\nFinal Answer: 36.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 36 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 36 × (1 - 45/100) = 36 × 0.55 = 19.8.\n</reasoning>\nFinal Answer: 19.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -447 ÷ -647"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -447 by -647. -447 ÷ -647 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 8, 9, 12, 16] and B = [3, 6, 7, 10, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 9, 12, 16].\n</reasoning>\nFinal Answer: [8, 9, 12, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 694 + -213"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 694 and -213: 694 + -213 = 481.\n</reasoning>\nFinal Answer: 481"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [52, 61, 69, 80, 52, 92, 46, 29, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {52: 2, 61: 1, 69: 1, 80: 2, 92: 1, 46: 1, 29: 1}. Most frequent: [52, 80].\n</reasoning>\nFinal Answer: [52, 80]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 187 - -931"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -931 from 187: 187 - -931 = 1118.\n</reasoning>\nFinal Answer: 1118"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 8) * (7 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+8)=47, (7-33)=-26, then 47×-26=-1222.\n</reasoning>\nFinal Answer: -1222"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 33 = 705"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 28x = 672. Divide by 28: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 850 + 874"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 850 and 874: 850 + 874 = 1724.\n</reasoning>\nFinal Answer: 1724"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [19, 59, 55, 26, 74, 30, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 19, 26, 30, 55, 59, 74]. Middle value(s) → median = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Ravi has 94 apples and buys 146 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 94 + 146 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "444 is what percentage of 958?"
},
{
"role": "assistant",
"content": "<reasoning>\n(444/958) × 100 = 46.3466%.\n</reasoning>\nFinal Answer: 46.3466%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 108 km/h. How far does it travel in 8 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 17/60 = 8.2833 hours. Distance = speed × time = 108 × 8.2833 = 894.6 km.\n</reasoning>\nFinal Answer: 894.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -844 × 522"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -844 by 522: -844 × 522 = -440568.\n</reasoning>\nFinal Answer: -440568"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 1 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 1 × 39 = 39.\n</reasoning>\nFinal Answer: 39"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -4 = 344"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 29x = 348. Divide by 29: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 49 = -626"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 15x = -675. Divide by 15: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 36 + 848"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 36 and 848: 36 + 848 = 884.\n</reasoning>\nFinal Answer: 884"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -933 × 852"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -933 by 852: -933 × 852 = -794916.\n</reasoning>\nFinal Answer: -794916"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 39, 43 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (39+43) × 8 = 328.0.\n</reasoning>\nFinal Answer: 328.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 * 21 + 50 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 22×21=462 and 50×19=950, then add: 1412.\n</reasoning>\nFinal Answer: 1412"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 834 + -801"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 834 and -801: 834 + -801 = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -754 + 13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -754 and 13: -754 + 13 = -741.\n</reasoning>\nFinal Answer: -741"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 132 km/h. How far does it travel in 10 hours and 51 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 51/60 = 10.8500 hours. Distance = speed × time = 132 × 10.8500 = 1432.2 km.\n</reasoning>\nFinal Answer: 1432.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/5 / 19/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/5) ÷ (19/6) = (4/5) × (6/19) = 24/95.\n</reasoning>\nFinal Answer: 24/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 45 * 10 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×10=450, then 22+450-32=440.\n</reasoning>\nFinal Answer: 440"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 100% of 756?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 756 = (100/100) × 756 = 756.0.\n</reasoning>\nFinal Answer: 756.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -539 ÷ 310"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -539 by 310. -539 ÷ 310 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 474 ÷ 38"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 474 by 38. 474 ÷ 38 = 12 (integer division).\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 19 = 323"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 19x = 304. Divide by 19: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 15 and 105."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(15,105) = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 22 = -266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 9x = -288. Divide by 9: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 1000 mod -904"
},
{
"role": "assistant",
"content": "<reasoning>\n1000 mod -904: 1000 = -904 × -2 + -808, so remainder = -808.\n</reasoning>\nFinal Answer: -808"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/5 - 14/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/5 - 14/17. LCD = 85. Result = 117/85.\n</reasoning>\nFinal Answer: 117/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 99 and width 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 99 × 42 = 4158.\n</reasoning>\nFinal Answer: 4158"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -137 mod 269"
},
{
"role": "assistant",
"content": "<reasoning>\n-137 mod 269: -137 = 269 × -1 + 132, so remainder = 132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/13 / 19/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/13) ÷ (19/19) = (11/13) × (19/19) = 11/13.\n</reasoning>\nFinal Answer: 11/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/9 * 9/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/9) × (9/4) = (36/36) = 1 after simplification.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 25 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 25 × (1 + 65/100) = 25 × 1.65 = 41.25.\n</reasoning>\nFinal Answer: 41.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 17) * (40 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+17)=56, (40-41)=-1, then 56×-1=-56.\n</reasoning>\nFinal Answer: -56"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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