messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Given A = [5, 6, 12, 15, 16, 17, 18] and B = [4, 8, 12, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 6, 8, 12, 15, 16, 17, 18].\n</reasoning>\nFinal Answer: [4, 5, 6, 8, 12, 15, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [28, 85, 31, 39, 79, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [28, 31, 39, 59, 79, 85]. Middle value(s) → median = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 844 × -909"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 844 by -909: 844 × -909 = -767196.\n</reasoning>\nFinal Answer: -767196"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -8 = 107"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 23x = 115. Divide by 23: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23657 at 2% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23657 × 2 × 6 / 100 = 2838.84.\n</reasoning>\nFinal Answer: 2838.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [45, 55, 65, 75, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 45 and common difference 10. Next term = 85 + 10 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 54 and height 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 54 × 51 = 2754.\n</reasoning>\nFinal Answer: 2754"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/14 - 14/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/14 - 14/4. LCD = 14. Result = -33/14.\n</reasoning>\nFinal Answer: -33/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 43 * 27 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×27=1161, then 21+1161-25=1157.\n</reasoning>\nFinal Answer: 1157"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 90% of 938?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 938 = (90/100) × 938 = 844.2.\n</reasoning>\nFinal Answer: 844.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 40 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 31+1600-39=1592.\n</reasoning>\nFinal Answer: 1592"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (20 + 12) * (37 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (20+12)=32, (37-34)=3, then 32×3=96.\n</reasoning>\nFinal Answer: 96"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -645 ÷ 143"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -645 by 143. -645 ÷ 143 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 21) * (19 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+21)=29, (19-45)=-26, then 29×-26=-754.\n</reasoning>\nFinal Answer: -754"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -6 = 68"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 2x = 74. Divide by 2: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 20, 20, and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 20 + 20 + 31 = 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [84, 23, 96, 30, 57, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {84: 1, 23: 1, 96: 1, 30: 1, 57: 1, 63: 1}. Most frequent: [84, 23, 96, 30, 57, 63].\n</reasoning>\nFinal Answer: [84, 23, 96, 30, 57, 63]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:39 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/39, so B = A × (39/25) = 51 × 39/25 = 79.56.\n</reasoning>\nFinal Answer: 79.56"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 7, 9, 10, 18] and B = [1, 2, 3, 8], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 5, 7, 8, 9, 10, 18].\n</reasoning>\nFinal Answer: [1,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 28 = 78"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 10x = 50. Divide by 10: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 45 + 24 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×45=2025 and 24×34=816, then add: 2841.\n</reasoning>\nFinal Answer: 2841"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 11, 13, 14, 15, 18] and B = [2, 3, 5, 6, 7, 9, 10, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 15].\n</reasoning>\nFinal Answer: [2, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 726 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 726 × (1 + 60/100) = 726 × 1.6 = 1161.6.\n</reasoning>\nFinal Answer: 1161.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -749 - 247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 247 from -749: -749 - 247 = -996.\n</reasoning>\nFinal Answer: -996"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -47 = -347"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 12x = -300. Divide by 12: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 6 = 204"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 6x = 198. Divide by 6: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 86 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 86 × (1 + 45/100) = 86 × 1.45 = 124.7.\n</reasoning>\nFinal Answer: 124.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 990 km apart. Their speeds are 114 km/h and 40 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+40=154 km/h. Time = 990/154 = 6.4286 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 79 and width 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 79 × 8 = 632.\n</reasoning>\nFinal Answer: 632"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [4, 9, 15, 19] and B = [4, 9, 14, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 9, 14, 15, 17, 19].\n</reasoning>\nFinal Answer: [4, 9, 14, 15, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 139 and 78."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(139,78) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 10 = -1092"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 29x = -1102. Divide by 29: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [85, 13, 44, 39, 53, 29, 7, 68, 66, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 499/10 = 49.9.\n</reasoning>\nFinal Answer: 49.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -33 = 97"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 13x = 130. Divide by 13: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 59 and 123."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(59,123) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:19 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/19, so B = A × (19/23) = 70 × 19/23 = 57.8261.\n</reasoning>\nFinal Answer: 57.8261"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 492 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 492 × (1 + 75/100) = 492 × 1.75 = 861.0.\n</reasoning>\nFinal Answer: 861.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/18 * 9/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/18) × (9/13) = (9/234) = 1/26 after simplification.\n</reasoning>\nFinal Answer: 1/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -897 - -404"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -404 from -897: -897 - -404 = -493.\n</reasoning>\nFinal Answer: -493"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 760 ÷ -806"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 760 by -806. 760 ÷ -806 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [87, 35, 38, 11, 47, 100, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {87: 1, 35: 1, 38: 1, 11: 1, 47: 1, 100: 1, 95: 1}. Most frequent: [87, 35, 38, 11, 47, 100, 95].\n</reasoning>\nFinal Answer: [87, 35, 38, 11, 47,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 28 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 28 × 12 = 336.\n</reasoning>\nFinal Answer: 336"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "89 is what percentage of 525?"
},
{
"role": "assistant",
"content": "<reasoning>\n(89/525) × 100 = 16.9524%.\n</reasoning>\nFinal Answer: 16.9524%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -42 = -276"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 9x = -234. Divide by 9: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 36 + 16 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×36=1404 and 16×3=48, then add: 1452.\n</reasoning>\nFinal Answer: 1452"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 35 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 35 × 35 = 612.5.\n</reasoning>\nFinal Answer: 612.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [39, 55, 1, 68, 71, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 71 - 1 = 70.\n</reasoning>\nFinal Answer: 70"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 29, 32 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (29+32) × 14 = 427.0.\n</reasoning>\nFinal Answer: 427.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 461 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 461 × (1 + 3/100) = 461 × 1.03 = 474.83.\n</reasoning>\nFinal Answer: 474.83"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 735 + 812"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 735 and 812: 735 + 812 = 1547.\n</reasoning>\nFinal Answer: 1547"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 4 = 49"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 9x = 45. Divide by 9: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/10 * 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/10) × (20/2) = (220/20) = 11 after simplification.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 7, 10, 11, 13, 15, 16] and B = [1, 10, 11], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 7, 10, 11, 13, 15, 16].\n</reasoning>\nFinal Answer: [1, 5, 7, 10, 11, 13, 15... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 27) * (42 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+27)=37, (42-6)=36, then 37×36=1332.\n</reasoning>\nFinal Answer: 1332"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 607 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 607 × (1 - 35/100) = 607 × 0.65 = 394.55.\n</reasoning>\nFinal Answer: 394.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 45 * 38 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 45×38=1710, then 37+1710-24=1723.\n</reasoning>\nFinal Answer: 1723"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 3% of 112?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 112 = (3/100) × 112 = 3.36.\n</reasoning>\nFinal Answer: 3.36"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 44 km/h. How far does it travel in 4 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 32/60 = 4.5333 hours. Distance = speed × time = 44 × 4.5333 = 199.4667 km.\n</reasoning>\nFinal Answer: 199.4667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -126 × -450"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -126 by -450: -126 × -450 = 56700.\n</reasoning>\nFinal Answer: 56700"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [80, 20, 62, 64, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 54, 62, 64, 80]. Middle value(s) → median = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -9 = 576"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 15x = 585. Divide by 15: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 89 apples and buys 119 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 89 + 119 = 208.\n</reasoning>\nFinal Answer: 208"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -403 mod -9"
},
{
"role": "assistant",
"content": "<reasoning>\n-403 mod -9: -403 = -9 × 44 + -7, so remainder = -7.\n</reasoning>\nFinal Answer: -7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -511 mod 601"
},
{
"role": "assistant",
"content": "<reasoning>\n-511 mod 601: -511 = 601 × -1 + 90, so remainder = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 945 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 945 × (1 - 25/100) = 945 × 0.75 = 708.75.\n</reasoning>\nFinal Answer: 708.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 166 km apart. Their speeds are 90 km/h and 86 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 90+86=176 km/h. Time = 166/176 = 0.9432 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 875 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 875 × (1 + 15/100) = 875 × 1.15 = 1006.25.\n</reasoning>\nFinal Answer: 1006.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14446 at 14% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14446 × 14 × 1 / 100 = 2022.44.\n</reasoning>\nFinal Answer: 2022.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44759 at 17% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44759 × 17 × 4 / 100 = 30436.12.\n</reasoning>\nFinal Answer: 30436.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -2 = 7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 9x = 9. Divide by 9: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -971 ÷ -153"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -971 by -153. -971 ÷ -153 = 6 (integer division).\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [31, 9, 74, 88, 37, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 269/6 = 44.8333.\n</reasoning>\nFinal Answer: 44.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 71 apples and buys 200 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 71 + 200 = 271.\n</reasoning>\nFinal Answer: 271"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [20, 82, 69, 65, 47, 8, 46, 100, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 20, 46, 47, 65, 69, 82, 92, 100]. Middle value(s) → median = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 3/12 + 18/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/12 + 18/12. Common denominator = 4. Result = 7/4.\n</reasoning>\nFinal Answer: 7/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 85 apples and buys 163 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 85 + 163 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 22) * (3 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+22)=39, (3-32)=-29, then 39×-29=-1131.\n</reasoning>\nFinal Answer: -1131"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 47 = 290"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 27x = 243. Divide by 27: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 657 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 657 × (1 - 65/100) = 657 × 0.35 = 229.95.\n</reasoning>\nFinal Answer: 229.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 70% of 764?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 764 = (70/100) × 764 = 534.8.\n</reasoning>\nFinal Answer: 534.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 126 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(126,17) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -19 mod 906"
},
{
"role": "assistant",
"content": "<reasoning>\n-19 mod 906: -19 = 906 × -1 + 887, so remainder = 887.\n</reasoning>\nFinal Answer: 887"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 48 + 11 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×48=672 and 11×17=187, then add: 859.\n</reasoning>\nFinal Answer: 859"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-65)x + (180) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -65² - 4×5×180 = 625. √discriminant = 25. x = (-(-65) ± 25) / (2×5). Solutions: x = 4 or x = 9.\n</reasoning>\nFinal Answer: x = 4 or x = 9"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -33 = 222"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 17x = 255. Divide by 17: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 26, and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 26 + 32 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 14/16 + 10/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/16 + 10/9. Common denominator = 72. Result = 143/72.\n</reasoning>\nFinal Answer: 143/72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 5 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 5 × 81 = 405.\n</reasoning>\nFinal Answer: 405"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/14 + 16/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/14 + 16/20. Common denominator = 70. Result = 61/70.\n</reasoning>\nFinal Answer: 61/70"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 26 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 26 = 130 worker-days. New time = 130 / 9 = 14.4444 days.\n</reasoning>\nFinal Answer: 14.4444"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:33 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/33, so B = A × (33/27) = 9 × 33/27 = 11.0.\n</reasoning>\nFinal Answer: 11.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:48 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/48, so B = A × (48/29) = 91 × 48/29 = 150.6207.\n</reasoning>\nFinal Answer: 150.6207"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 47 and 13."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (47×13)/1 = 611.\n</reasoning>\nFinal Answer: 611"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 13/19 - 17/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/19 - 17/5. LCD = 95. Result = -258/95.\n</reasoning>\nFinal Answer: -258/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 447 × -45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 447 by -45: 447 × -45 = -20115.\n</reasoning>\nFinal Answer: -20115"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1336. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1336 × 5/100 = 66.8. Total = 1336 + 66.8 = 1402.8.\n</reasoning>\nFinal Answer: 1402.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -322 ÷ 559"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -322 by 559. -322 ÷ 559 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 93 km/h. How far does it travel in 2 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 17/60 = 2.2833 hours. Distance = speed × time = 93 × 2.2833 = 212.35 km.\n</reasoning>\nFinal Answer: 212.35"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 19 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 19 = 209 worker-days. New time = 209 / 10 = 20.9 days.\n</reasoning>\nFinal Answer: 20.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/13 * 14/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/13) × (14/19) = (126/247) = 126/247 after simplification.\n</reasoning>\nFinal Answer: 126/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
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