messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 1000 - -648"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -648 from 1000: 1000 - -648 = 1648.\n</reasoning>\nFinal Answer: 1648"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 111 km/h. How far does it travel in 6 hours and 54 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 54/60 = 6.9000 hours. Distance = speed × time = 111 × 6.9000 = 765.9 km.\n</reasoning>\nFinal Answer: 765.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 6 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 6 = 54 worker-days. New time = 54 / 6 = 9.0 days.\n</reasoning>\nFinal Answer: 9.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -47 = 601"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 24x = 648. Divide by 24: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 845 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 845 × (1 - 90/100) = 845 × 0.09999999999999998 = 84.5.\n</reasoning>\nFinal Answer: 84.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -449 ÷ -148"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -449 by -148. -449 ÷ -148 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [22, 69, 56, 63, 78, 9, 46, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 22, 46, 49, 56, 63, 69, 78]. Middle value(s) → median = 52.5.\n</reasoning>\nFinal Answer: 52.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 898 - 180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 180 from 898: 898 - 180 = 718.\n</reasoning>\nFinal Answer: 718"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [96, 89, 70, 15, 96, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 15 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 940 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 940 × (1 + 40/100) = 940 × 1.4 = 1316.0.\n</reasoning>\nFinal Answer: 1316.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹901. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 901 × 18/100 = 162.18. Total = 901 + 162.18 = 1063.18.\n</reasoning>\nFinal Answer: 1063.18"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -177 ÷ -286"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -177 by -286. -177 ÷ -286 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -267 + 430"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -267 and 430: -267 + 430 = 163.\n</reasoning>\nFinal Answer: 163"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -414 ÷ 104"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -414 by 104. -414 ÷ 104 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/4 * 10/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/4) × (10/2) = (200/8) = 25 after simplification.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 18 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 18 = 126 worker-days. New time = 126 / 9 = 14.0 days.\n</reasoning>\nFinal Answer: 14.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -36 = -59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 1x = -23. Divide by 1: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:45 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/45, so B = A × (45/9) = 85 × 45/9 = 425.0.\n</reasoning>\nFinal Answer: 425.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 39 + 22 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×39=1014 and 22×33=726, then add: 1740.\n</reasoning>\nFinal Answer: 1740"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 125 ÷ 319"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 125 by 319. 125 ÷ 319 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 + 5/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/12 + 5/20. Common denominator = 12. Result = 7/6.\n</reasoning>\nFinal Answer: 7/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/12 * 10/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/12) × (10/2) = (10/24) = 5/12 after simplification.\n</reasoning>\nFinal Answer: 5/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:3 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/3, so B = A × (3/22) = 88 × 3/22 = 12.0.\n</reasoning>\nFinal Answer: 12.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -977 ÷ 95"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -977 by 95. -977 ÷ 95 = -11 (integer division).\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 18] and B = [2, 6, 7, 10, 14, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 5, 7, 10, 14, 17].\n</reasoning>\nFinal Answer: [2, 5... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (35)x + (60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 35² - 4×5×60 = 25. √discriminant = 5. x = (-(35) ± 5) / (2×5). Solutions: x = -4 or x = -3.\n</reasoning>\nFinal Answer: x = -4 or x = -3"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 30 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 30 = 180 worker-days. New time = 180 / 19 = 9.4737 days.\n</reasoning>\nFinal Answer: 9.4737"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 9, 17] and B = [2, 4, 5, 11, 15, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 9, 11, 15].\n</reasoning>\nFinal Answer: [2, 9, 11, 15... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 42 = -14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 8x = -56. Divide by 8: x = -7.\n</reasoning>\nFinal Answer: -7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 36 and width 43."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(36+43) = 2×79 = 158.\n</reasoning>\nFinal Answer: 158"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [83, 99, 21, 66, 65, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {83: 1, 99: 1, 21: 1, 66: 1, 65: 1, 12: 1}. Most frequent: [83, 99, 21, 66, 65, 12].\n</reasoning>\nFinal Answer: [83, 99, 21, 66, 65, 12]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "519 is what percentage of 892?"
},
{
"role": "assistant",
"content": "<reasoning>\n(519/892) × 100 = 58.1839%.\n</reasoning>\nFinal Answer: 58.1839%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -541 ÷ -673"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -541 by -673. -541 ÷ -673 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 89 apples and buys 102 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 89 + 102 = 191.\n</reasoning>\nFinal Answer: 191"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 9, 12, 16] and B = [1, 4, 7, 10, 11, 14, 15, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 4, 7, 8, 9, 10, 11, 12, 14, 15, 16, 19]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 902 ÷ -978"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 902 by -978. 902 ÷ -978 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [43, 100, 70, 99, 16, 19, 79, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 16 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -718 mod -549"
},
{
"role": "assistant",
"content": "<reasoning>\n-718 mod -549: -718 = -549 × 1 + -169, so remainder = -169.\n</reasoning>\nFinal Answer: -169"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 10 apples and buys 139 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 10 + 139 = 149.\n</reasoning>\nFinal Answer: 149"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [12, 100, 43, 37, 89, 49, 87, 50, 4, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 542/10 = 54.2.\n</reasoning>\nFinal Answer: 54.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 18 * 20 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×20=360, then 8+360-36=332.\n</reasoning>\nFinal Answer: 332"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38416 at 18% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38416 × 18 × 7 / 100 = 48404.16.\n</reasoning>\nFinal Answer: 48404.16"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 10, 11] and B = [3, 6, 7, 12, 14, 16, 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": "Find the area of a trapezoid with parallel sides 8, 37 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (8+37) × 26 = 585.0.\n</reasoning>\nFinal Answer: 585.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 17 = -302"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 29x = -319. Divide by 29: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 30% of 998?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 998 = (30/100) × 998 = 299.4.\n</reasoning>\nFinal Answer: 299.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 11 and width 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 11 × 41 = 451.\n</reasoning>\nFinal Answer: 451"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [15, 71, 89, 96, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {15: 1, 71: 1, 89: 1, 96: 1, 57: 1}. Most frequent: [15, 71, 89, 96, 57].\n</reasoning>\nFinal Answer: [15, 71, 89, 96, 57]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 4 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 29+16-28=17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -301 × -378"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -301 by -378: -301 × -378 = 113778.\n</reasoning>\nFinal Answer: 113778"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "314 is what percentage of 517?"
},
{
"role": "assistant",
"content": "<reasoning>\n(314/517) × 100 = 60.735%.\n</reasoning>\nFinal Answer: 60.735%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 31 = 934"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 21x = 903. Divide by 21: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2425. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2425 × 28/100 = 679.0. Total = 2425 + 679.0 = 3104.0.\n</reasoning>\nFinal Answer: 3104.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 8, 9, 15, 16, 19] and B = [8, 10, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8].\n</reasoning>\nFinal Answer: [8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 929 ÷ -825"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 929 by -825. 929 ÷ -825 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 16 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 16 = 224 worker-days. New time = 224 / 20 = 11.2 days.\n</reasoning>\nFinal Answer: 11.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "257 is what percentage of 434?"
},
{
"role": "assistant",
"content": "<reasoning>\n(257/434) × 100 = 59.2166%.\n</reasoning>\nFinal Answer: 59.2166%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 36 and 49."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (36×49)/1 = 1764.\n</reasoning>\nFinal Answer: 1764"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 32 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (32×36)/4 = 288.\n</reasoning>\nFinal Answer: 288"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the range of: [72, 72, 99, 8, 64, 66, 90, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 8 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "A train travels at 100 km/h. How far does it travel in 8 hours and 42 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 42/60 = 8.7000 hours. Distance = speed × time = 100 × 8.7000 = 870.0 km.\n</reasoning>\nFinal Answer: 870.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 948 - 900"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 900 from 948: 948 - 900 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 10 * 23 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×23=230, then 6+230-12=224.\n</reasoning>\nFinal Answer: 224"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 12 apples and buys 31 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 12 + 31 = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 12, 15, 18] and B = [6, 7, 8, 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": "Find the perimeter of a triangle with sides 7, 8, and 12."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 8 + 12 = 27.\n</reasoning>\nFinal Answer: 27"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 85 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 85 × 49 = 2082.5.\n</reasoning>\nFinal Answer: 2082.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 10/7 * 2/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/7) × (2/20) = (20/140) = 1/7 after simplification.\n</reasoning>\nFinal Answer: 1/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 57 mod -310"
},
{
"role": "assistant",
"content": "<reasoning>\n57 mod -310: 57 = -310 × -1 + -253, so remainder = -253.\n</reasoning>\nFinal Answer: -253"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [94, 31, 25, 38, 42, 65, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [25, 31, 38, 42, 65, 94, 94]. Middle value(s) → median = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 23 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 38+529-9=558.\n</reasoning>\nFinal Answer: 558"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 32 = 200"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 21x = 168. Divide by 21: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 804 mod 109"
},
{
"role": "assistant",
"content": "<reasoning>\n804 mod 109: 804 = 109 × 7 + 41, so remainder = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [87, 83, 49, 92, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 346/5 = 69.2.\n</reasoning>\nFinal Answer: 69.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 35 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 35 × 88 = 3080.\n</reasoning>\nFinal Answer: 3080"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:12 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/12, so B = A × (12/3) = 50 × 12/3 = 200.0.\n</reasoning>\nFinal Answer: 200.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 * 38 + 49 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 8×38=304 and 49×27=1323, then add: 1627.\n</reasoning>\nFinal Answer: 1627"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 86, 80, 66, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 2, 80: 1, 66: 1, 43: 1}. Most frequent: 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 2/4 - 10/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/4 - 10/12. LCD = 6. Result = -1/3.\n</reasoning>\nFinal Answer: -1/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 90 km/h. How far does it travel in 5 hours and 9 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 9/60 = 5.1500 hours. Distance = speed × time = 90 × 5.1500 = 463.5 km.\n</reasoning>\nFinal Answer: 463.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:45 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/45, so B = A × (45/12) = 93 × 45/12 = 348.75.\n</reasoning>\nFinal Answer: 348.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -236 ÷ -746"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -236 by -746. -236 ÷ -746 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 36 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 36 × 91 = 1638.0.\n</reasoning>\nFinal Answer: 1638.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -20 = 292"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 13x = 312. Divide by 13: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -113 ÷ 917"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -113 by 917. -113 ÷ 917 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹161. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 161 × 18/100 = 28.98. Total = 161 + 28.98 = 189.98.\n</reasoning>\nFinal Answer: 189.98"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/20 * 11/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/20) × (11/18) = (77/360) = 77/360 after simplification.\n</reasoning>\nFinal Answer: 77/360"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 36, 3 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (36+3) × 48 = 936.0.\n</reasoning>\nFinal Answer: 936.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "447 is what percentage of 457?"
},
{
"role": "assistant",
"content": "<reasoning>\n(447/457) × 100 = 97.8118%.\n</reasoning>\nFinal Answer: 97.8118%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:9 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/9, so B = A × (9/47) = 66 × 9/47 = 12.6383.\n</reasoning>\nFinal Answer: 12.6383"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 11/7 - 11/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/7 - 11/12. LCD = 84. Result = 55/84.\n</reasoning>\nFinal Answer: 55/84"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -602 + -435"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -602 and -435: -602 + -435 = -1037.\n</reasoning>\nFinal Answer: -1037"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 46) * (30 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+46)=68, (30-42)=-12, then 68×-12=-816.\n</reasoning>\nFinal Answer: -816"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 5/14 * 12/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/14) × (12/1) = (60/14) = 30/7 after simplification.\n</reasoning>\nFinal Answer: 30/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 10 = -374"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 12x = -384. Divide by 12: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -10 = 24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 17x = 34. Divide by 17: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [24, 89, 29, 90, 49, 10, 84, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 24, 29, 49, 54, 84, 89, 90]. Middle value(s) → median = 51.5.\n</reasoning>\nFinal Answer: 51.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:30 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/30, so B = A × (30/41) = 34 × 30/41 = 24.878.\n</reasoning>\nFinal Answer: 24.878"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 83 and width 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 83 × 97 = 8051.\n</reasoning>\nFinal Answer: 8051"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 890 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 890 × (1 - 10/100) = 890 × 0.9 = 801.0.\n</reasoning>\nFinal Answer: 801.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
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