messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mode of: [70, 71, 64, 69, 54, 70, 21, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {70: 3, 71: 1, 64: 1, 69: 1, 54: 1, 21: 1}. Most frequent: 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 410 ÷ 703"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 410 by 703. 410 ÷ 703 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 188 and 165."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(188,165) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 9, 19] and B = [1, 2, 7], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 9, 19].\n</reasoning>\nFinal Answer: [5, 9, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 697 km apart. Their speeds are 108 km/h and 75 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 108+75=183 km/h. Time = 697/183 = 3.8087 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -183 mod -343"
},
{
"role": "assistant",
"content": "<reasoning>\n-183 mod -343: -183 = -343 × 0 + -183, so remainder = -183.\n</reasoning>\nFinal Answer: -183"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [10, 10, 59, 27, 38, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 10, 10, 27, 38, 59]. Middle value(s) → median = 18.5.\n</reasoning>\nFinal Answer: 18.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36480 at 8% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36480 × 8 × 2 / 100 = 5836.8.\n</reasoning>\nFinal Answer: 5836.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 15 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 15 × 46 = 345.0.\n</reasoning>\nFinal Answer: 345.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -178 ÷ 611"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -178 by 611. -178 ÷ 611 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 13 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 13 × 65 = 845.\n</reasoning>\nFinal Answer: 845"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -55 ÷ -404"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -55 by -404. -55 ÷ -404 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 35) * (38 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+35)=41, (38-42)=-4, then 41×-4=-164.\n</reasoning>\nFinal Answer: -164"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 66 apples and buys 120 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 66 + 120 = 186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 19 and 5."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (19×5)/1 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:33 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/33, so B = A × (33/18) = 93 × 33/18 = 170.5.\n</reasoning>\nFinal Answer: 170.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35716 at 11% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35716 × 11 × 7 / 100 = 27501.32.\n</reasoning>\nFinal Answer: 27501.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 803 ÷ 49"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 803 by 49. 803 ÷ 49 = 16 (integer division).\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 98 and width 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 98 × 47 = 4606.\n</reasoning>\nFinal Answer: 4606"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [66, 62, 23, 33, 79, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {66: 1, 62: 1, 23: 1, 33: 1, 79: 1, 19: 1}. Most frequent: [66, 62, 23, 33, 79, 19].\n</reasoning>\nFinal Answer: [66, 62, 23, 33, 79, 19]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 20/4 * 16/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/4) × (16/13) = (320/52) = 80/13 after simplification.\n</reasoning>\nFinal Answer: 80/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 11, 93, 8, 17, 26, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 254/7 = 36.2857.\n</reasoning>\nFinal Answer: 36.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 12, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (11-1)×12 = 39 + 120 = 159.\n</reasoning>\nFinal Answer: 159"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [51, 13, 97, 93, 90, 28, 4, 17, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 445/9 = 49.4444.\n</reasoning>\nFinal Answer: 49.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 14/17 - 11/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/17 - 11/19. LCD = 323. Result = 79/323.\n</reasoning>\nFinal Answer: 79/323"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 9 * 16 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×16=144, then 13+144-1=156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/12 / 4/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/12) ÷ (4/6) = (8/12) × (6/4) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 31 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 31 × 66 = 1023.0.\n</reasoning>\nFinal Answer: 1023.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 9/4 + 15/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/4 + 15/7. Common denominator = 28. Result = 123/28.\n</reasoning>\nFinal Answer: 123/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -35 = 605"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 16x = 640. Divide by 16: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 873 × -168"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 873 by -168: 873 × -168 = -146664.\n</reasoning>\nFinal Answer: -146664"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/5 / 3/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/5) ÷ (3/4) = (9/5) × (4/3) = 12/5.\n</reasoning>\nFinal Answer: 12/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:9 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/9, so B = A × (9/6) = 72 × 9/6 = 108.0.\n</reasoning>\nFinal Answer: 108.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 54 × -507"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 54 by -507: 54 × -507 = -27378.\n</reasoning>\nFinal Answer: -27378"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 28 = -1222"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 25x = -1250. Divide by 25: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 34) * (50 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+34)=60, (50-16)=34, then 60×34=2040.\n</reasoning>\nFinal Answer: 2040"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 26) * (15 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+26)=65, (15-31)=-16, then 65×-16=-1040.\n</reasoning>\nFinal Answer: -1040"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [2, 36, 10, 59, 33, 38, 56, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 10, 33, 36, 38, 53, 56, 59]. Middle value(s) → median = 37.0.\n</reasoning>\nFinal Answer: 37.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 18 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 18 = 108 worker-days. New time = 108 / 7 = 15.4286 days.\n</reasoning>\nFinal Answer: 15.4286"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 80 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 80 × 66 = 5280.\n</reasoning>\nFinal Answer: 5280"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 20 = 853"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 17x = 833. Divide by 17: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [19, 60, 1, 98, 86, 8, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 8, 19, 60, 84, 86, 98]. Middle value(s) → median = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [99, 67, 36, 11, 26, 53, 94, 26, 97, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 6 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 12/16 * 19/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/16) × (19/18) = (228/288) = 19/24 after simplification.\n</reasoning>\nFinal Answer: 19/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -41 = 1034"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 25x = 1075. Divide by 25: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 902 mod 725"
},
{
"role": "assistant",
"content": "<reasoning>\n902 mod 725: 902 = 725 × 1 + 177, so remainder = 177.\n</reasoning>\nFinal Answer: 177"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -18 = -528"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 30x = -510. Divide by 30: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [64, 30, 91, 79, 34, 54, 93, 48, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [30, 34, 48, 54, 64, 79, 91, 93, 93]. Middle value(s) → median = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 7/1 / 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/1) ÷ (4/5) = (7/1) × (5/4) = 35/4.\n</reasoning>\nFinal Answer: 35/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 35 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(35+74) = 2×109 = 218.\n</reasoning>\nFinal Answer: 218"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:18 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/18, so B = A × (18/39) = 31 × 18/39 = 14.3077.\n</reasoning>\nFinal Answer: 14.3077"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Is 86 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n86 = 2 × 43, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Simplify: 11/14 + 9/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/14 + 9/6. Common denominator = 14. Result = 16/7.\n</reasoning>\nFinal Answer: 16/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 25 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 43+625-28=640.\n</reasoning>\nFinal Answer: 640"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 44 = 179"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 15x = 135. Divide by 15: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/7 - 15/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/7 - 15/20. LCD = 28. Result = -13/28.\n</reasoning>\nFinal Answer: -13/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:3 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/3, so B = A × (3/20) = 52 × 3/20 = 7.8.\n</reasoning>\nFinal Answer: 7.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 182 km/h. How far does it travel in 10 hours and 42 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 42/60 = 10.7000 hours. Distance = speed × time = 182 × 10.7000 = 1947.4 km.\n</reasoning>\nFinal Answer: 1947.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -527 - 587"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 587 from -527: -527 - 587 = -1114.\n</reasoning>\nFinal Answer: -1114"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 137 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 137 × (1 - 30/100) = 137 × 0.7 = 95.9.\n</reasoning>\nFinal Answer: 95.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 47 and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (47×33)/1 = 1551.\n</reasoning>\nFinal Answer: 1551"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 34 = -692"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 22x = -726. Divide by 22: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 349 mod 268"
},
{
"role": "assistant",
"content": "<reasoning>\n349 mod 268: 349 = 268 × 1 + 81, so remainder = 81.\n</reasoning>\nFinal Answer: 81"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 15, 16] and B = [5, 6, 7, 8, 9, 10, 14, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 5, 6, 7, 9, 10, 14, 15].\n</reasoning>\nFinal A... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 41 * 50 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×50=2050, then 31+2050-31=2050.\n</reasoning>\nFinal Answer: 2050"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹3652. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3652 × 5/100 = 182.6. Total = 3652 + 182.6 = 3834.6.\n</reasoning>\nFinal Answer: 3834.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 10% of 73?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 73 = (10/100) × 73 = 7.3.\n</reasoning>\nFinal Answer: 7.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -44 = -1080"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 28x = -1036. Divide by 28: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/17 * 5/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/17) × (5/13) = (80/221) = 80/221 after simplification.\n</reasoning>\nFinal Answer: 80/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -12 = 510"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 18x = 522. Divide by 18: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 229 - 409"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 409 from 229: 229 - 409 = -180.\n</reasoning>\nFinal Answer: -180"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/7 - 18/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/7 - 18/17. LCD = 119. Result = 214/119.\n</reasoning>\nFinal Answer: 214/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -284 - -419"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -419 from -284: -284 - -419 = 135.\n</reasoning>\nFinal Answer: 135"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹4699 at 14% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 4699 × 14 × 8 / 100 = 5262.88.\n</reasoning>\nFinal Answer: 5262.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -709 mod 438"
},
{
"role": "assistant",
"content": "<reasoning>\n-709 mod 438: -709 = 438 × -2 + 167, so remainder = 167.\n</reasoning>\nFinal Answer: 167"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 2 * 16 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×16=32, then 41+32-3=70.\n</reasoning>\nFinal Answer: 70"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×27)/1 = 999.\n</reasoning>\nFinal Answer: 999"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 7 = 790"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 27x = 783. Divide by 27: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -624 ÷ -641"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -624 by -641. -624 ÷ -641 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -324 ÷ 349"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -324 by 349. -324 ÷ 349 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 9, 10, 15] and B = [5, 8, 13], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 5, 8, 9, 10, 13, 15].\n</reasoning>\nFinal Answer: [3, 5, 8, 9, 10, 13, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 16 = 21"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 1x = 5. Divide by 1: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [35, 52, 84, 93, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [22, 35, 52, 84, 93]. Middle value(s) → median = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 * 10/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/10) × (10/12) = (200/120) = 5/3 after simplification.\n</reasoning>\nFinal Answer: 5/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 93 + 172"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 93 and 172: 93 + 172 = 265.\n</reasoning>\nFinal Answer: 265"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 63 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 63 × 65 = 4095.\n</reasoning>\nFinal Answer: 4095"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 830 × -175"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 830 by -175: 830 × -175 = -145250.\n</reasoning>\nFinal Answer: -145250"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 862 - -34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from 862: 862 - -34 = 896.\n</reasoning>\nFinal Answer: 896"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 46 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 46 × (1 + 45/100) = 46 × 1.45 = 66.7.\n</reasoning>\nFinal Answer: 66.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 265 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 265 × (1 + 7/100) = 265 × 1.07 = 283.55.\n</reasoning>\nFinal Answer: 283.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/4 - 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/4 - 20/2. LCD = 1. Result = -8.\n</reasoning>\nFinal Answer: -8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:38 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/38, so B = A × (38/41) = 51 × 38/41 = 47.2683.\n</reasoning>\nFinal Answer: 47.2683"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 477 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 477 × (1 - 30/100) = 477 × 0.7 = 333.9.\n</reasoning>\nFinal Answer: 333.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 11 = 481"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 10x = 470. Divide by 10: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -46 = -1146"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 25x = -1100. Divide by 25: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 52 apples and buys 101 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 52 + 101 = 153.\n</reasoning>\nFinal Answer: 153"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 5 = 423"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 22x = 418. Divide by 22: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 499 ÷ 144"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 499 by 144. 499 ÷ 144 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 665 - -753"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -753 from 665: 665 - -753 = 1418.\n</reasoning>\nFinal Answer: 1418"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [57, 13, 11, 6, 12, 93, 5, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {57: 1, 13: 1, 11: 1, 6: 1, 12: 1, 93: 1, 5: 1, 91: 1}. Most frequent: [57, 13, 11, 6, 12, 93, 5, 91].\n</reasoning>\nFinal Answer: [57, 13, 11, 6... | easy | [
"statistics",
"mode"
] |
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