messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Decrease 999 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 999 × (1 - 40/100) = 999 × 0.6 = 599.4.\n</reasoning>\nFinal Answer: 599.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/10 * 9/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/10) × (9/5) = (18/50) = 9/25 after simplification.\n</reasoning>\nFinal Answer: 9/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 34 = -718"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 16x = -752. Divide by 16: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 19 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 19 = 228 worker-days. New time = 228 / 19 = 12.0 days.\n</reasoning>\nFinal Answer: 12.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 6 = -254"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 10x = -260. Divide by 10: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:20 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/20, so B = A × (20/6) = 89 × 20/6 = 296.6667.\n</reasoning>\nFinal Answer: 296.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 27) * (14 - 3)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+27)=37, (14-3)=11, then 37×11=407.\n</reasoning>\nFinal Answer: 407"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44195 at 12% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44195 × 12 × 1 / 100 = 5303.4.\n</reasoning>\nFinal Answer: 5303.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -8 = 406"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 23x = 414. Divide by 23: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 8, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (33-1)×8 = 48 + 256 = 304.\n</reasoning>\nFinal Answer: 304"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 11/13 + 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/13 + 10/10. Common denominator = 13. Result = 24/13.\n</reasoning>\nFinal Answer: 24/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 23 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 23 = 276 worker-days. New time = 276 / 11 = 25.0909 days.\n</reasoning>\nFinal Answer: 25.0909"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 897 + 964"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 897 and 964: 897 + 964 = 1861.\n</reasoning>\nFinal Answer: 1861"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -190 + -588"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -190 and -588: -190 + -588 = -778.\n</reasoning>\nFinal Answer: -778"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×17)/1 = 595.\n</reasoning>\nFinal Answer: 595"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 991 + 897"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 991 and 897: 991 + 897 = 1888.\n</reasoning>\nFinal Answer: 1888"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -19 = -257"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 17x = -238. Divide by 17: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -794 + -557"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -794 and -557: -794 + -557 = -1351.\n</reasoning>\nFinal Answer: -1351"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:1 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/1, so B = A × (1/40) = 34 × 1/40 = 0.85.\n</reasoning>\nFinal Answer: 0.85"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 24 * 46 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×46=1104, then 37+1104-47=1094.\n</reasoning>\nFinal Answer: 1094"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:26 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/26, so B = A × (26/1) = 95 × 26/1 = 2470.0.\n</reasoning>\nFinal Answer: 2470.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -509 × -330"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -509 by -330: -509 × -330 = 167970.\n</reasoning>\nFinal Answer: 167970"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 35 and width 4."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(35+4) = 2×39 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-2)x + (-60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -2² - 4×2×-60 = 484. √discriminant = 22. x = (-(-2) ± 22) / (2×2). Solutions: x = 6 or x = -5.\n</reasoning>\nFinal Answer: x = 6 or x = -5"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 13) * (29 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+13)=45, (29-20)=9, then 45×9=405.\n</reasoning>\nFinal Answer: 405"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 21 = -853"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 23x = -874. Divide by 23: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 171 ÷ 618"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 171 by 618. 171 ÷ 618 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -72 + -783"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -72 and -783: -72 + -783 = -855.\n</reasoning>\nFinal Answer: -855"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4083. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4083 × 18/100 = 734.94. Total = 4083 + 734.94 = 4817.94.\n</reasoning>\nFinal Answer: 4817.94"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 93 + -6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 93 and -6: 93 + -6 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4888. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4888 × 18/100 = 879.84. Total = 4888 + 879.84 = 5767.84.\n</reasoning>\nFinal Answer: 5767.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/19 * 15/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/19) × (15/6) = (30/114) = 5/19 after simplification.\n</reasoning>\nFinal Answer: 5/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 30 and common difference 20, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 30 + (31-1)×20 = 30 + 600 = 630.\n</reasoning>\nFinal Answer: 630"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 585 km apart. Their speeds are 91 km/h and 87 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 91+87=178 km/h. Time = 585/178 = 3.2865 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33063 at 17% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33063 × 17 × 2 / 100 = 11241.42.\n</reasoning>\nFinal Answer: 11241.42"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 99."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 99 = 396.\n</reasoning>\nFinal Answer: 396"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 17 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 10+289-35=264.\n</reasoning>\nFinal Answer: 264"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 238 mod -601"
},
{
"role": "assistant",
"content": "<reasoning>\n238 mod -601: 238 = -601 × -1 + -363, so remainder = -363.\n</reasoning>\nFinal Answer: -363"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 9, 11, 12, 15, 16] and B = [11, 13, 15, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [11, 15].\n</reasoning>\nFinal Answer: [11, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:14 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/14, so B = A × (14/30) = 20 × 14/30 = 9.3333.\n</reasoning>\nFinal Answer: 9.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 127 km apart. Their speeds are 43 km/h and 53 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 43+53=96 km/h. Time = 127/96 = 1.3229 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 29) * (7 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+29)=77, (7-26)=-19, then 77×-19=-1463.\n</reasoning>\nFinal Answer: -1463"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/1 * 7/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/1) × (7/12) = (133/12) = 133/12 after simplification.\n</reasoning>\nFinal Answer: 133/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹989. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 989 × 28/100 = 276.92. Total = 989 + 276.92 = 1265.92.\n</reasoning>\nFinal Answer: 1265.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:32 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/32, so B = A × (32/19) = 69 × 32/19 = 116.2105.\n</reasoning>\nFinal Answer: 116.2105"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 887 - 227"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 227 from 887: 887 - 227 = 660.\n</reasoning>\nFinal Answer: 660"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/1 + 1/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/1 + 1/16. Common denominator = 16. Result = 145/16.\n</reasoning>\nFinal Answer: 145/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 28 = 106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 26x = 78. Divide by 26: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/12 * 13/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/12) × (13/7) = (182/84) = 13/6 after simplification.\n</reasoning>\nFinal Answer: 13/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "86 is what percentage of 511?"
},
{
"role": "assistant",
"content": "<reasoning>\n(86/511) × 100 = 16.8297%.\n</reasoning>\nFinal Answer: 16.8297%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 49 and height 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 49 × 51 = 1249.5.\n</reasoning>\nFinal Answer: 1249.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [82, 7, 72, 58, 81, 42, 99, 64, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {82: 1, 7: 1, 72: 1, 58: 1, 81: 2, 42: 1, 99: 1, 64: 1}. Most frequent: 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -26 = -37"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 1x = -11. Divide by 1: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 25 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+25) × 31 = 666.5.\n</reasoning>\nFinal Answer: 666.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 60% of 979?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 979 = (60/100) × 979 = 587.4.\n</reasoning>\nFinal Answer: 587.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6765 at 16% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6765 × 16 × 10 / 100 = 10824.0.\n</reasoning>\nFinal Answer: 10824.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 10, 16, 17] and B = [3, 5, 6, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 5, 6, 8, 10, 16, 17, 19].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 12/17 * 14/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/17) × (14/9) = (168/153) = 56/51 after simplification.\n</reasoning>\nFinal Answer: 56/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -69 mod -156"
},
{
"role": "assistant",
"content": "<reasoning>\n-69 mod -156: -69 = -156 × 0 + -69, so remainder = -69.\n</reasoning>\nFinal Answer: -69"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/7 / 8/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/7) ÷ (8/11) = (12/7) × (11/8) = 33/14.\n</reasoning>\nFinal Answer: 33/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:29 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/29, so B = A × (29/18) = 49 × 29/18 = 78.9444.\n</reasoning>\nFinal Answer: 78.9444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [83, 13, 23, 50, 12, 45, 85, 10, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 11, 12, 13, 23, 45, 50, 83, 85]. Middle value(s) → median = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 106 km/h. How far does it travel in 10 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 47/60 = 10.7833 hours. Distance = speed × time = 106 × 10.7833 = 1143.0333 km.\n</reasoning>\nFinal Answer: 1143.0333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 26 + 50 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×26=156 and 50×6=300, then add: 456.\n</reasoning>\nFinal Answer: 456"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/16 / 13/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/16) ÷ (13/13) = (10/16) × (13/13) = 5/8.\n</reasoning>\nFinal Answer: 5/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 342 ÷ -624"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 342 by -624. 342 ÷ -624 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [34, 92, 92, 97, 64, 36, 64, 16, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {34: 1, 92: 2, 97: 1, 64: 2, 36: 1, 16: 1, 100: 1}. Most frequent: [92, 64].\n</reasoning>\nFinal Answer: [92, 64]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 16/7 + 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/7 + 5/1. Common denominator = 7. Result = 51/7.\n</reasoning>\nFinal Answer: 51/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 233 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 233 × (1 + 60/100) = 233 × 1.6 = 372.8.\n</reasoning>\nFinal Answer: 372.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [31, 77, 14, 32, 80, 13, 11, 74, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 348/9 = 38.6667.\n</reasoning>\nFinal Answer: 38.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 19 = -377"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 11x = -396. Divide by 11: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 864 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 864 × (1 + 25/100) = 864 × 1.25 = 1080.0.\n</reasoning>\nFinal Answer: 1080.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [31, 11, 33, 90, 10, 44, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 10 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹17016 at 14% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 17016 × 14 × 6 / 100 = 14293.44.\n</reasoning>\nFinal Answer: 14293.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -747 mod -651"
},
{
"role": "assistant",
"content": "<reasoning>\n-747 mod -651: -747 = -651 × 1 + -96, so remainder = -96.\n</reasoning>\nFinal Answer: -96"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 63 and width 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 63 × 86 = 5418.\n</reasoning>\nFinal Answer: 5418"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 5, 7, 9, 16, 17, 18] and B = [3, 6, 10, 12, 13, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 4, 5, 6, 7, 9, 10, 12, 13, 14, 16, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 717 ÷ -666"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 717 by -666. 717 ÷ -666 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/14 / 12/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/14) ÷ (12/2) = (17/14) × (2/12) = 17/84.\n</reasoning>\nFinal Answer: 17/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 138 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(138,6) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 * 20/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/6) × (20/1) = (360/6) = 60 after simplification.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -14 mod 475"
},
{
"role": "assistant",
"content": "<reasoning>\n-14 mod 475: -14 = 475 × -1 + 461, so remainder = 461.\n</reasoning>\nFinal Answer: 461"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 121 apples and buys 139 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 121 + 139 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/1 / 5/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/1) ÷ (5/12) = (17/1) × (12/5) = 204/5.\n</reasoning>\nFinal Answer: 204/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 / 1/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/7) ÷ (1/15) = (17/7) × (15/1) = 255/7.\n</reasoning>\nFinal Answer: 255/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 349 × -681"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 349 by -681: 349 × -681 = -237669.\n</reasoning>\nFinal Answer: -237669"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:27 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/27, so B = A × (27/15) = 49 × 27/15 = 88.2.\n</reasoning>\nFinal Answer: 88.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 32 = 108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 19x = 76. Divide by 19: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -595 mod 807"
},
{
"role": "assistant",
"content": "<reasoning>\n-595 mod 807: -595 = 807 × -1 + 212, so remainder = 212.\n</reasoning>\nFinal Answer: 212"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -141 mod -832"
},
{
"role": "assistant",
"content": "<reasoning>\n-141 mod -832: -141 = -832 × 0 + -141, so remainder = -141.\n</reasoning>\nFinal Answer: -141"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -30 = -576"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 26x = -546. Divide by 26: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/7 + 11/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/7 + 11/16. Common denominator = 112. Result = 221/112.\n</reasoning>\nFinal Answer: 221/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 5 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+5) × 2 = 31.0.\n</reasoning>\nFinal Answer: 31.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 10/6 + 15/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/6 + 15/16. Common denominator = 48. Result = 125/48.\n</reasoning>\nFinal Answer: 125/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 14, 17] and B = [1, 4, 9, 11, 12, 15, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 130 apples and buys 34 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 130 + 34 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 29 and 174."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(29,174) = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:6 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/6, so B = A × (6/26) = 43 × 6/26 = 9.9231.\n</reasoning>\nFinal Answer: 9.9231"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "763 is what percentage of 779?"
},
{
"role": "assistant",
"content": "<reasoning>\n(763/779) × 100 = 97.9461%.\n</reasoning>\nFinal Answer: 97.9461%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [99, 74, 68, 8, 47, 23, 12, 57, 57, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 12, 23, 47, 57, 57, 61, 68, 74, 99]. Middle value(s) → median = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | medium | [
"statistics",
"median"
] |
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