messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -711 mod -97"
},
{
"role": "assistant",
"content": "<reasoning>\n-711 mod -97: -711 = -97 × 7 + -32, so remainder = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 12 * 37 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×37=444, then 23+444-50=417.\n</reasoning>\nFinal Answer: 417"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 42) * (9 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+42)=67, (9-16)=-7, then 67×-7=-469.\n</reasoning>\nFinal Answer: -469"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -796 mod -67"
},
{
"role": "assistant",
"content": "<reasoning>\n-796 mod -67: -796 = -67 × 11 + -59, so remainder = -59.\n</reasoning>\nFinal Answer: -59"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 48) * (2 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+48)=93, (2-7)=-5, then 93×-5=-465.\n</reasoning>\nFinal Answer: -465"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/20 + 1/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/20 + 1/5. Common denominator = 20. Result = 1/4.\n</reasoning>\nFinal Answer: 1/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:18 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/18, so B = A × (18/24) = 9 × 18/24 = 6.75.\n</reasoning>\nFinal Answer: 6.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 561 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 561 × (1 + 40/100) = 561 × 1.4 = 785.4.\n</reasoning>\nFinal Answer: 785.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 832 km apart. Their speeds are 80 km/h and 51 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 80+51=131 km/h. Time = 832/131 = 6.3511 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 29 and height 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 29 × 71 = 2059.\n</reasoning>\nFinal Answer: 2059"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 439 × -387"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 439 by -387: 439 × -387 = -169893.\n</reasoning>\nFinal Answer: -169893"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 46 = -54"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 25x = -100. Divide by 25: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/16 - 18/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/16 - 18/13. LCD = 208. Result = -119/208.\n</reasoning>\nFinal Answer: -119/208"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 15 + 15 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×15=360 and 15×12=180, then add: 540.\n</reasoning>\nFinal Answer: 540"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 928 ÷ 700"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 928 by 700. 928 ÷ 700 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 177 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 177 × (1 + 3/100) = 177 × 1.03 = 182.31.\n</reasoning>\nFinal Answer: 182.31"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 49, 15, 15, 37, 12, 93, 19, 11, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 335/10 = 33.5.\n</reasoning>\nFinal Answer: 33.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [21, 5, 56, 85, 17, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 5 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 782 × 439"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 782 by 439: 782 × 439 = 343298.\n</reasoning>\nFinal Answer: 343298"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 44 = -556"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 12x = -600. Divide by 12: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 261 km apart. Their speeds are 47 km/h and 89 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 47+89=136 km/h. Time = 261/136 = 1.9191 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 4 = 114"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 5x = 110. Divide by 5: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:25 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/25, so B = A × (25/40) = 25 × 25/40 = 15.625.\n</reasoning>\nFinal Answer: 15.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 197 and 184."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(197,184) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Decrease 659 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 659 × (1 - 40/100) = 659 × 0.6 = 395.4.\n</reasoning>\nFinal Answer: 395.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 6 = -300"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 9x = -306. Divide by 9: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 50% of 291?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 291 = (50/100) × 291 = 145.5.\n</reasoning>\nFinal Answer: 145.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [9, 49, 36, 40, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 198/5 = 39.6.\n</reasoning>\nFinal Answer: 39.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 29 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (29×39)/1 = 1131.\n</reasoning>\nFinal Answer: 1131"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:18 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/18, so B = A × (18/24) = 64 × 18/24 = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [55, 17, 35, 46, 84, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 17 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 929 + -601"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 929 and -601: 929 + -601 = 328.\n</reasoning>\nFinal Answer: 328"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 68 and height 87."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 68 × 87 = 2958.0.\n</reasoning>\nFinal Answer: 2958.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "197 is what percentage of 290?"
},
{
"role": "assistant",
"content": "<reasoning>\n(197/290) × 100 = 67.931%.\n</reasoning>\nFinal Answer: 67.931%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 66 km/h. How far does it travel in 10 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 25/60 = 10.4167 hours. Distance = speed × time = 66 × 10.4167 = 687.5 km.\n</reasoning>\nFinal Answer: 687.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -10 = 694"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 22x = 704. Divide by 22: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 26 apples and buys 163 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 26 + 163 = 189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-27)x + (42) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -27² - 4×3×42 = 225. √discriminant = 15. x = (-(-27) ± 15) / (2×3). Solutions: x = 7 or x = 2.\n</reasoning>\nFinal Answer: x = 7 or x = 2"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:36 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/36, so B = A × (36/3) = 33 × 36/3 = 396.0.\n</reasoning>\nFinal Answer: 396.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 41 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+41) × 5 = 172.5.\n</reasoning>\nFinal Answer: 172.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 5, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (15-1)×5 = 4 + 70 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 18/19 - 8/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/19 - 8/11. LCD = 209. Result = 46/209.\n</reasoning>\nFinal Answer: 46/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 84 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 84 × 9 = 756.\n</reasoning>\nFinal Answer: 756"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -3 = 519"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 29x = 522. Divide by 29: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -42 = 714"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 27x = 756. Divide by 27: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 13 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 13 = 104 worker-days. New time = 104 / 12 = 8.6667 days.\n</reasoning>\nFinal Answer: 8.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 25% of 572?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 572 = (25/100) × 572 = 143.0.\n</reasoning>\nFinal Answer: 143.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [87, 53, 71, 90, 4, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 4 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 7, 17] and B = [4, 6, 9, 10, 11, 12, 14, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 7].\n</reasoning>\nFinal Answer: [2, 3, 7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 709 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 709 × (1 - 70/100) = 709 × 0.30000000000000004 = 212.7.\n</reasoning>\nFinal Answer: 212.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 7 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 30+49-27=52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 701 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 701 × (1 + 30/100) = 701 × 1.3 = 911.3.\n</reasoning>\nFinal Answer: 911.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -330 × -704"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -330 by -704: -330 × -704 = 232320.\n</reasoning>\nFinal Answer: 232320"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 19 ** 2 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 31+361-13=379.\n</reasoning>\nFinal Answer: 379"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 35% of 798?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 798 = (35/100) × 798 = 279.3.\n</reasoning>\nFinal Answer: 279.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 96 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 96 × 77 = 7392.\n</reasoning>\nFinal Answer: 7392"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 4 ÷ -903"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 4 by -903. 4 ÷ -903 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 39 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 39 × (1 + 100/100) = 39 × 2.0 = 78.0.\n</reasoning>\nFinal Answer: 78.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [81, 88, 94, 57, 97, 11, 8, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 479/8 = 59.875.\n</reasoning>\nFinal Answer: 59.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "169 is what percentage of 260?"
},
{
"role": "assistant",
"content": "<reasoning>\n(169/260) × 100 = 65.0%.\n</reasoning>\nFinal Answer: 65.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 41 apples and buys 58 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 41 + 58 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "14 is what percentage of 116?"
},
{
"role": "assistant",
"content": "<reasoning>\n(14/116) × 100 = 12.069%.\n</reasoning>\nFinal Answer: 12.069%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹2640. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2640 × 18/100 = 475.2. Total = 2640 + 475.2 = 3115.2.\n</reasoning>\nFinal Answer: 3115.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 909 ÷ -119"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 909 by -119. 909 ÷ -119 = -8 (integer division).\n</reasoning>\nFinal Answer: -8"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-12)x + (-40) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -12² - 4×4×-40 = 784. √discriminant = 28. x = (-(-12) ± 28) / (2×4). Solutions: x = -2 or x = 5.\n</reasoning>\nFinal Answer: x = -2 or x = 5"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 77 and 125."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(77,125) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 711 × 516"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 711 by 516: 711 × 516 = 366876.\n</reasoning>\nFinal Answer: 366876"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2207. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2207 × 12/100 = 264.84. Total = 2207 + 264.84 = 2471.84.\n</reasoning>\nFinal Answer: 2471.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:3 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/3, so B = A × (3/16) = 51 × 3/16 = 9.5625.\n</reasoning>\nFinal Answer: 9.5625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -44 = 483"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 17x = 527. Divide by 17: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Is 196 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n196 = 2 × 98, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the mode of: [69, 46, 60, 36, 40, 58, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {69: 1, 46: 1, 60: 1, 36: 1, 40: 1, 58: 1, 90: 1}. Most frequent: [69, 46, 60, 36, 40, 58, 90].\n</reasoning>\nFinal Answer: [69, 46, 60, 36, 40, 58... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 78 and width 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 78 × 31 = 2418.\n</reasoning>\nFinal Answer: 2418"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -574 mod 763"
},
{
"role": "assistant",
"content": "<reasoning>\n-574 mod 763: -574 = 763 × -1 + 189, so remainder = 189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -31 = 719"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 25x = 750. Divide by 25: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 1 + 30 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×1=48 and 30×5=150, then add: 198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 340 ÷ 374"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 340 by 374. 340 ÷ 374 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -40 = -96"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 8x = -56. Divide by 8: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -231 mod -562"
},
{
"role": "assistant",
"content": "<reasoning>\n-231 mod -562: -231 = -562 × 0 + -231, so remainder = -231.\n</reasoning>\nFinal Answer: -231"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/8 - 9/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/8 - 9/11. LCD = 88. Result = -61/88.\n</reasoning>\nFinal Answer: -61/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 881 + -97"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 881 and -97: 881 + -97 = 784.\n</reasoning>\nFinal Answer: 784"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -413 mod -70"
},
{
"role": "assistant",
"content": "<reasoning>\n-413 mod -70: -413 = -70 × 5 + -63, so remainder = -63.\n</reasoning>\nFinal Answer: -63"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 352 mod 424"
},
{
"role": "assistant",
"content": "<reasoning>\n352 mod 424: 352 = 424 × 0 + 352, so remainder = 352.\n</reasoning>\nFinal Answer: 352"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [96, 98, 27, 86, 84, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [27, 46, 84, 86, 96, 98]. Middle value(s) → median = 85.0.\n</reasoning>\nFinal Answer: 85.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 89 ÷ -414"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 89 by -414. 89 ÷ -414 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 151 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 151 × (1 + 70/100) = 151 × 1.7 = 256.7.\n</reasoning>\nFinal Answer: 256.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 15) * (22 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+15)=23, (22-44)=-22, then 23×-22=-506.\n</reasoning>\nFinal Answer: -506"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 44 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+44) × 8 = 368.0.\n</reasoning>\nFinal Answer: 368.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -39 = -423"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 8x = -384. Divide by 8: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [7, 10, 14, 16] and B = [3, 7, 14, 15, 16, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 10, 15, 17, 18].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -19 = -1195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 24x = -1176. Divide by 24: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 4 = 704"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 20x = 700. Divide by 20: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -21 = -287"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 7x = -266. Divide by 7: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -888 ÷ 63"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -888 by 63. -888 ÷ 63 = -15 (integer division).\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 29, 8 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (29+8) × 40 = 740.0.\n</reasoning>\nFinal Answer: 740.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:3 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/3, so B = A × (3/47) = 15 × 3/47 = 0.9574.\n</reasoning>\nFinal Answer: 0.9574"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 10/4 / 14/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/4) ÷ (14/13) = (10/4) × (13/14) = 65/28.\n</reasoning>\nFinal Answer: 65/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 50."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×50)/1 = 1850.\n</reasoning>\nFinal Answer: 1850"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 55 apples and buys 58 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 55 + 58 = 113.\n</reasoning>\nFinal Answer: 113"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 44) * (31 - 43)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+44)=61, (31-43)=-12, then 61×-12=-732.\n</reasoning>\nFinal Answer: -732"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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