messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Given A = [5, 6, 10, 13, 14, 15, 18] and B = [1, 5, 8, 9, 12, 13, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 6, 8, 9, 10, 12, 13, 14, 15, 16, 18].\n</reasoning>\nFinal Answer: ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 14 = 98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 28x = 84. Divide by 28: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -937 + 733"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -937 and 733: -937 + 733 = -204.\n</reasoning>\nFinal Answer: -204"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (24 + 2) * (47 - 5)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (24+2)=26, (47-5)=42, then 26×42=1092.\n</reasoning>\nFinal Answer: 1092"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 46 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 46 × (1 - 30/100) = 46 × 0.7 = 32.2.\n</reasoning>\nFinal Answer: 32.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 21 * 48 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×48=1008, then 24+1008-27=1005.\n</reasoning>\nFinal Answer: 1005"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/6 * 19/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/6) × (19/18) = (323/108) = 323/108 after simplification.\n</reasoning>\nFinal Answer: 323/108"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [70, 4, 12, 94, 44, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 243/6 = 40.5.\n</reasoning>\nFinal Answer: 40.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -200 mod 817"
},
{
"role": "assistant",
"content": "<reasoning>\n-200 mod 817: -200 = 817 × -1 + 617, so remainder = 617.\n</reasoning>\nFinal Answer: 617"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "List all positive factors of 88."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 88: factors are [1, 2, 4, 8, 11, 22, 44, 88].\n</reasoning>\nFinal Answer: [1, 2, 4, 8, 11, 22, 44, 88]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Calculate: -282 - 651"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 651 from -282: -282 - 651 = -933.\n</reasoning>\nFinal Answer: -933"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 579 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 579 × (1 - 50/100) = 579 × 0.5 = 289.5.\n</reasoning>\nFinal Answer: 289.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 25 = 129"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 26x = 104. Divide by 26: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 849 × 629"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 849 by 629: 849 × 629 = 534021.\n</reasoning>\nFinal Answer: 534021"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -22 = 38"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 12x = 60. Divide by 12: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/14 - 3/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/14 - 3/19. LCD = 266. Result = 205/266.\n</reasoning>\nFinal Answer: 205/266"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:43 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/43, so B = A × (43/7) = 5 × 43/7 = 30.7143.\n</reasoning>\nFinal Answer: 30.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -38 = -779"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 19x = -741. Divide by 19: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:28 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/28, so B = A × (28/11) = 1 × 28/11 = 2.5455.\n</reasoning>\nFinal Answer: 2.5455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 193 apples and buys 11 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 193 + 11 = 204.\n</reasoning>\nFinal Answer: 204"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 * 20 + 1 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 5×20=100 and 1×45=45, then add: 145.\n</reasoning>\nFinal Answer: 145"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 4) * (34 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+4)=15, (34-26)=8, then 15×8=120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 29 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 29²=841, then 31+841-46=826.\n</reasoning>\nFinal Answer: 826"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -855 mod -390"
},
{
"role": "assistant",
"content": "<reasoning>\n-855 mod -390: -855 = -390 × 2 + -75, so remainder = -75.\n</reasoning>\nFinal Answer: -75"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 31 + 7 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×31=1240 and 7×41=287, then add: 1527.\n</reasoning>\nFinal Answer: 1527"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [49, 32, 40, 30, 75, 64, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 354/7 = 50.5714.\n</reasoning>\nFinal Answer: 50.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 22 + 38 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×22=176 and 38×38=1444, then add: 1620.\n</reasoning>\nFinal Answer: 1620"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 406 × 667"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 406 by 667: 406 × 667 = 270802.\n</reasoning>\nFinal Answer: 270802"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 197 and 62."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(197,62) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -915 ÷ 828"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -915 by 828. -915 ÷ 828 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 47 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 47 × 7 = 329.\n</reasoning>\nFinal Answer: 329"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [87, 71, 87, 49, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [25, 49, 71, 87, 87]. Middle value(s) → median = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -9 = -229"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 11x = -220. Divide by 11: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 572 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 572 × (1 - 25/100) = 572 × 0.75 = 429.0.\n</reasoning>\nFinal Answer: 429.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 40 = 838"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 19x = 798. Divide by 19: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2446. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2446 × 5/100 = 122.3. Total = 2446 + 122.3 = 2568.3.\n</reasoning>\nFinal Answer: 2568.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/6 * 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/6) × (15/16) = (165/96) = 55/32 after simplification.\n</reasoning>\nFinal Answer: 55/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 14 and width 16."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(14+16) = 2×30 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [7, 70, 39, 76, 53, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {7: 1, 70: 1, 39: 1, 76: 1, 53: 1, 67: 1}. Most frequent: [7, 70, 39, 76, 53, 67].\n</reasoning>\nFinal Answer: [7, 70, 39, 76, 53, 67]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 731 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 731 × (1 + 17/100) = 731 × 1.17 = 855.27.\n</reasoning>\nFinal Answer: 855.27"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [45, 62, 89, 10, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 10 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 15 - -293"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -293 from 15: 15 - -293 = 308.\n</reasoning>\nFinal Answer: 308"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 3 * 45 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×45=135, then 2+135-10=127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 799 - 670"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 670 from 799: 799 - 670 = 129.\n</reasoning>\nFinal Answer: 129"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [100, 6, 67, 57, 67, 7, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 6 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 99 and width 61."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(99+61) = 2×160 = 320.\n</reasoning>\nFinal Answer: 320"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹160. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 160 × 28/100 = 44.8. Total = 160 + 44.8 = 204.8.\n</reasoning>\nFinal Answer: 204.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 8 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 8 × 15 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39384 at 2% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39384 × 2 × 3 / 100 = 2363.04.\n</reasoning>\nFinal Answer: 2363.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 48 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 48²=2304, then 34+2304-14=2324.\n</reasoning>\nFinal Answer: 2324"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 / 1/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/11) ÷ (1/6) = (10/11) × (6/1) = 60/11.\n</reasoning>\nFinal Answer: 60/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "292 is what percentage of 732?"
},
{
"role": "assistant",
"content": "<reasoning>\n(292/732) × 100 = 39.8907%.\n</reasoning>\nFinal Answer: 39.8907%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 91 mod -365"
},
{
"role": "assistant",
"content": "<reasoning>\n91 mod -365: 91 = -365 × -1 + -274, so remainder = -274.\n</reasoning>\nFinal Answer: -274"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 173 km/h. How far does it travel in 6 hours and 40 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 40/60 = 6.6667 hours. Distance = speed × time = 173 × 6.6667 = 1153.3333 km.\n</reasoning>\nFinal Answer: 1153.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 106 km/h. How far does it travel in 4 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 14/60 = 4.2333 hours. Distance = speed × time = 106 × 4.2333 = 448.7333 km.\n</reasoning>\nFinal Answer: 448.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -27 = 54"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 27x = 81. Divide by 27: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [61, 16, 85, 49, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 49, 49, 61, 85]. Middle value(s) → median = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 431 ÷ 634"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 431 by 634. 431 ÷ 634 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 * 2 + 48 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 3×2=6 and 48×22=1056, then add: 1062.\n</reasoning>\nFinal Answer: 1062"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 5 * 10 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×10=50, then 29+50-36=43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [35, 79, 100, 68, 28, 15, 11, 86, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 515/9 = 57.2222.\n</reasoning>\nFinal Answer: 57.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 27 + 38 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×27=351 and 38×5=190, then add: 541.\n</reasoning>\nFinal Answer: 541"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 967 km apart. Their speeds are 40 km/h and 107 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 40+107=147 km/h. Time = 967/147 = 6.5782 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 678 mod -686"
},
{
"role": "assistant",
"content": "<reasoning>\n678 mod -686: 678 = -686 × -1 + -8, so remainder = -8.\n</reasoning>\nFinal Answer: -8"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 23 * 17 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×17=391, then 29+391-21=399.\n</reasoning>\nFinal Answer: 399"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 2, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (15-1)×2 = 4 + 28 = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [40, 51, 62, 73, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 40 and common difference 11. Next term = 84 + 11 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 13 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 13 = 156 worker-days. New time = 156 / 3 = 52.0 days.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -27 = 582"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 29x = 609. Divide by 29: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 49 * 48 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×48=2352, then 31+2352-24=2359.\n</reasoning>\nFinal Answer: 2359"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 4 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 33+16-25=24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 10% of 372?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 372 = (10/100) × 372 = 37.2.\n</reasoning>\nFinal Answer: 37.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/20 - 1/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/20 - 1/13. LCD = 52. Result = 9/52.\n</reasoning>\nFinal Answer: 9/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/7 / 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/7) ÷ (10/10) = (14/7) × (10/10) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:2 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/2, so B = A × (2/26) = 2 × 2/26 = 0.1538.\n</reasoning>\nFinal Answer: 0.1538"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:34 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/34, so B = A × (34/29) = 6 × 34/29 = 7.0345.\n</reasoning>\nFinal Answer: 7.0345"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -550 mod 892"
},
{
"role": "assistant",
"content": "<reasoning>\n-550 mod 892: -550 = 892 × -1 + 342, so remainder = 342.\n</reasoning>\nFinal Answer: 342"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 24 = -711"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 21x = -735. Divide by 21: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 5 = -245"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 5x = -250. Divide by 5: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 25 and 26."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (25×26)/1 = 650.\n</reasoning>\nFinal Answer: 650"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the median of: [26, 9, 48, 89, 11, 28, 5]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 9, 11, 26, 28, 48, 89]. Middle value(s) → median = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 775 - 633"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 633 from 775: 775 - 633 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2425. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2425 × 18/100 = 436.5. Total = 2425 + 436.5 = 2861.5.\n</reasoning>\nFinal Answer: 2861.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:19 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/19, so B = A × (19/49) = 72 × 19/49 = 27.9184.\n</reasoning>\nFinal Answer: 27.9184"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -423 mod -765"
},
{
"role": "assistant",
"content": "<reasoning>\n-423 mod -765: -423 = -765 × 0 + -423, so remainder = -423.\n</reasoning>\nFinal Answer: -423"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 119 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(119,18) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 48) * (21 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+48)=60, (21-12)=9, then 60×9=540.\n</reasoning>\nFinal Answer: 540"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:49 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/49, so B = A × (49/11) = 4 × 49/11 = 17.8182.\n</reasoning>\nFinal Answer: 17.8182"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 16 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 16 = 176 worker-days. New time = 176 / 14 = 12.5714 days.\n</reasoning>\nFinal Answer: 12.5714"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -11 = 264"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 11x = 275. Divide by 11: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 22 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (22×27)/1 = 594.\n</reasoning>\nFinal Answer: 594"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 11/17 / 16/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/17) ÷ (16/7) = (11/17) × (7/16) = 77/272.\n</reasoning>\nFinal Answer: 77/272"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/2 * 13/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/2) × (13/6) = (91/12) = 91/12 after simplification.\n</reasoning>\nFinal Answer: 91/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 3% of 515?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 515 = (3/100) × 515 = 15.45.\n</reasoning>\nFinal Answer: 15.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 9, 11, 15] and B = [1, 3, 4, 5, 13, 14, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [9, 11].\n</reasoning>\nFinal Answer: [9, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [70, 11, 66, 25, 28, 4, 8, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 70 - 4 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -259 - 375"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 375 from -259: -259 - 375 = -634.\n</reasoning>\nFinal Answer: -634"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/15 + 18/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/15 + 18/10. Common denominator = 15. Result = 7/3.\n</reasoning>\nFinal Answer: 7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [75, 86, 54, 46, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 30 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [49, 2, 36, 50, 8, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 152/6 = 25.3333.\n</reasoning>\nFinal Answer: 25.3333"
}
] | easy | [
"statistics",
"mean"
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.