messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the next term in the sequence: [50, 57, 64, 71, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 50 and common difference 7. Next term = 78 + 7 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -589 mod -459"
},
{
"role": "assistant",
"content": "<reasoning>\n-589 mod -459: -589 = -459 × 1 + -130, so remainder = -130.\n</reasoning>\nFinal Answer: -130"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/6 * 14/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/6) × (14/5) = (140/30) = 14/3 after simplification.\n</reasoning>\nFinal Answer: 14/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/9 + 10/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/9 + 10/2. Common denominator = 9. Result = 61/9.\n</reasoning>\nFinal Answer: 61/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 120 km/h. How far does it travel in 11 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 5/60 = 11.0833 hours. Distance = speed × time = 120 × 11.0833 = 1330.0 km.\n</reasoning>\nFinal Answer: 1330.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [31, 84, 35, 26, 93, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 279/6 = 46.5.\n</reasoning>\nFinal Answer: 46.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -7 = 1025"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 24x = 1032. Divide by 24: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -47 = 673"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 16x = 720. Divide by 16: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [15, 82, 54, 72, 47, 99, 41, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 14 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [2, 44, 1, 33, 14, 34, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {2: 1, 44: 1, 1: 1, 33: 1, 14: 1, 34: 1, 89: 1}. Most frequent: [2, 44, 1, 33, 14, 34, 89].\n</reasoning>\nFinal Answer: [2, 44, 1, 33, 14, 34, 89]"
... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 5/8 * 20/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/8) × (20/18) = (100/144) = 25/36 after simplification.\n</reasoning>\nFinal Answer: 25/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 46) * (44 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+46)=55, (44-26)=18, then 55×18=990.\n</reasoning>\nFinal Answer: 990"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 13 = -407"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 20x = -420. Divide by 20: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 33. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 33² = π × 1089 ≈ 3421.1944.\n</reasoning>\nFinal Answer: 3421.1944"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:45 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/45, so B = A × (45/18) = 69 × 45/18 = 172.5.\n</reasoning>\nFinal Answer: 172.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -634 - 134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 134 from -634: -634 - 134 = -768.\n</reasoning>\nFinal Answer: -768"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "389 is what percentage of 479?"
},
{
"role": "assistant",
"content": "<reasoning>\n(389/479) × 100 = 81.2109%.\n</reasoning>\nFinal Answer: 81.2109%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 259 - -420"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -420 from 259: 259 - -420 = 679.\n</reasoning>\nFinal Answer: 679"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 164 km/h. How far does it travel in 7 hours and 19 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 19/60 = 7.3167 hours. Distance = speed × time = 164 × 7.3167 = 1199.9333 km.\n</reasoning>\nFinal Answer: 1199.9333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -73 mod 317"
},
{
"role": "assistant",
"content": "<reasoning>\n-73 mod 317: -73 = 317 × -1 + 244, so remainder = 244.\n</reasoning>\nFinal Answer: 244"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 450 ÷ 757"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 450 by 757. 450 ÷ 757 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 349 mod 606"
},
{
"role": "assistant",
"content": "<reasoning>\n349 mod 606: 349 = 606 × 0 + 349, so remainder = 349.\n</reasoning>\nFinal Answer: 349"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 35% of 913?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 913 = (35/100) × 913 = 319.55.\n</reasoning>\nFinal Answer: 319.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 27 = 1059"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 24x = 1032. Divide by 24: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 73 and width 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 73 × 79 = 5767.\n</reasoning>\nFinal Answer: 5767"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹3275. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3275 × 28/100 = 917.0. Total = 3275 + 917.0 = 4192.0.\n</reasoning>\nFinal Answer: 4192.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 6, 23, and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 6 + 23 + 28 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 149 × -52"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 149 by -52: 149 × -52 = -7748.\n</reasoning>\nFinal Answer: -7748"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 192 km/h. How far does it travel in 9 hours and 37 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 37/60 = 9.6167 hours. Distance = speed × time = 192 × 9.6167 = 1846.4 km.\n</reasoning>\nFinal Answer: 1846.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 15 = 639"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 26x = 624. Divide by 26: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 98 and height 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 98 × 67 = 3283.0.\n</reasoning>\nFinal Answer: 3283.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 32 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 42+1024-34=1032.\n</reasoning>\nFinal Answer: 1032"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 812 × -339"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 812 by -339: 812 × -339 = -275268.\n</reasoning>\nFinal Answer: -275268"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 10, 19] and B = [3, 4, 9, 13, 15, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 9, 10, 13, 15, 18, 19].\n</reasoning>\nFinal Answer: [3, 4, 9, 10, 13, 15, 18, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 41 = 858"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 19x = 817. Divide by 19: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 150 apples and buys 95 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 150 + 95 = 245.\n</reasoning>\nFinal Answer: 245"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 699 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 699 × (1 + 5/100) = 699 × 1.05 = 733.95.\n</reasoning>\nFinal Answer: 733.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/16 * 2/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/16) × (2/3) = (18/48) = 3/8 after simplification.\n</reasoning>\nFinal Answer: 3/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -911 + 435"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -911 and 435: -911 + 435 = -476.\n</reasoning>\nFinal Answer: -476"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/20 * 14/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/20) × (14/11) = (28/220) = 7/55 after simplification.\n</reasoning>\nFinal Answer: 7/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -7 = -103"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 6x = -96. Divide by 6: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -993 mod -298"
},
{
"role": "assistant",
"content": "<reasoning>\n-993 mod -298: -993 = -298 × 3 + -99, so remainder = -99.\n</reasoning>\nFinal Answer: -99"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 21 = 76"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 5x = 55. Divide by 5: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -537 - -828"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -828 from -537: -537 - -828 = 291.\n</reasoning>\nFinal Answer: 291"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [3, 45, 39, 88, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 39, 45, 81, 88]. Middle value(s) → median = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 70 and height 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 70 × 56 = 3920.\n</reasoning>\nFinal Answer: 3920"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A bag has 10 red and 10 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 10/20 = 0.5.\n</reasoning>\nFinal Answer: 0.5"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: 119 × -344"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 119 by -344: 119 × -344 = -40936.\n</reasoning>\nFinal Answer: -40936"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/2 / 5/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/2) ÷ (5/17) = (1/2) × (17/5) = 17/10.\n</reasoning>\nFinal Answer: 17/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 42 = 102"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 10x = 60. Divide by 10: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 90 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(90+37) = 2×127 = 254.\n</reasoning>\nFinal Answer: 254"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 19 * 22 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×22=418, then 38+418-33=423.\n</reasoning>\nFinal Answer: 423"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 921 ÷ 713"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 921 by 713. 921 ÷ 713 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 110 mod -949"
},
{
"role": "assistant",
"content": "<reasoning>\n110 mod -949: 110 = -949 × -1 + -839, so remainder = -839.\n</reasoning>\nFinal Answer: -839"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 24 = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 24x = -24. Divide by 24: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/16 * 18/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/16) × (18/4) = (180/64) = 45/16 after simplification.\n</reasoning>\nFinal Answer: 45/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -847 × 875"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -847 by 875: -847 × 875 = -741125.\n</reasoning>\nFinal Answer: -741125"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 819 × 589"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 819 by 589: 819 × 589 = 482391.\n</reasoning>\nFinal Answer: 482391"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [57, 81, 59, 100, 40, 15, 77, 58, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [15, 40, 56, 57, 58, 59, 77, 81, 100]. Middle value(s) → median = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 9, 10, 12, 17, 19] and B = [3, 6, 9, 11, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 6, 9, 10, 11, 12, 17, 18, 19].\n</reasoning>\nFinal Answer: [3, 4, 6, 9... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -860 × 761"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -860 by 761: -860 × 761 = -654460.\n</reasoning>\nFinal Answer: -654460"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "26 is what percentage of 36?"
},
{
"role": "assistant",
"content": "<reasoning>\n(26/36) × 100 = 72.2222%.\n</reasoning>\nFinal Answer: 72.2222%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 200 apples and buys 26 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 200 + 26 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -7 = -223"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 6x = -216. Divide by 6: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 565 km apart. Their speeds are 92 km/h and 42 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 92+42=134 km/h. Time = 565/134 = 4.2164 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [6, 8, 10, 11, 12, 15, 16, 19] and B = [6, 10, 13, 16, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [6, 8, 10, 11, 12, 13, 15, 16, 19].\n</reasoning>\nFinal Answer: [6, 8, 10,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (43 + 49) * (47 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (43+49)=92, (47-48)=-1, then 92×-1=-92.\n</reasoning>\nFinal Answer: -92"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 37) * (37 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+37)=62, (37-40)=-3, then 62×-3=-186.\n</reasoning>\nFinal Answer: -186"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 625 × 688"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 625 by 688: 625 × 688 = 430000.\n</reasoning>\nFinal Answer: 430000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -704 - 855"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 855 from -704: -704 - 855 = -1559.\n</reasoning>\nFinal Answer: -1559"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 152 apples and buys 186 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 152 + 186 = 338.\n</reasoning>\nFinal Answer: 338"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [53, 86, 53, 8, 1, 80, 56, 94, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 1 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 103 - -474"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -474 from 103: 103 - -474 = 577.\n</reasoning>\nFinal Answer: 577"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 26 = 10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 1x = -16. Divide by 1: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 295 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 295 × (1 - 25/100) = 295 × 0.75 = 221.25.\n</reasoning>\nFinal Answer: 221.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 38 = -862"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 18x = -900. Divide by 18: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 18 = -142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 16x = -160. Divide by 16: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 704 ÷ -137"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 704 by -137. 704 ÷ -137 = -6 (integer division).\n</reasoning>\nFinal Answer: -6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -809 + -664"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -809 and -664: -809 + -664 = -1473.\n</reasoning>\nFinal Answer: -1473"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:26 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/26, so B = A × (26/18) = 65 × 26/18 = 93.8889.\n</reasoning>\nFinal Answer: 93.8889"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (39 + 27) * (24 - 19)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (39+27)=66, (24-19)=5, then 66×5=330.\n</reasoning>\nFinal Answer: 330"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 17% of 62?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 62 = (17/100) × 62 = 10.54.\n</reasoning>\nFinal Answer: 10.54"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3336. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3336 × 28/100 = 934.08. Total = 3336 + 934.08 = 4270.08.\n</reasoning>\nFinal Answer: 4270.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/1 * 18/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/1) × (18/10) = (144/10) = 72/5 after simplification.\n</reasoning>\nFinal Answer: 72/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [99, 13, 99, 8, 54, 25, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 8 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -34 = 533"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 27x = 567. Divide by 27: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 36 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (36×8)/4 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [2, 76, 28, 40, 94, 98, 69, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 436/8 = 54.5.\n</reasoning>\nFinal Answer: 54.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [26, 30, 51, 16, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 158/5 = 31.6.\n</reasoning>\nFinal Answer: 31.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:16 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/16, so B = A × (16/27) = 16 × 16/27 = 9.4815.\n</reasoning>\nFinal Answer: 9.4815"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 29 and common difference 8, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 29 + (23-1)×8 = 29 + 176 = 205.\n</reasoning>\nFinal Answer: 205"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [96, 1, 80, 100, 7, 78, 91, 83, 96, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 7, 78, 80, 83, 88, 91, 96, 96, 100]. Middle value(s) → median = 85.5.\n</reasoning>\nFinal Answer: 85.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A bag has 9 red and 5 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 5/14 = 0.3571.\n</reasoning>\nFinal Answer: 0.3571"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: -316 + -373"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -316 and -373: -316 + -373 = -689.\n</reasoning>\nFinal Answer: -689"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 27 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 27²=729, then 21+729-29=721.\n</reasoning>\nFinal Answer: 721"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 39 = -1081"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 28x = -1120. Divide by 28: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:11 and A = 6, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/11, so B = A × (11/39) = 6 × 11/39 = 1.6923.\n</reasoning>\nFinal Answer: 1.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 74 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 74 × 39 = 2886.\n</reasoning>\nFinal Answer: 2886"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 46 = -52"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 2x = -98. Divide by 2: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "22 is what percentage of 50?"
},
{
"role": "assistant",
"content": "<reasoning>\n(22/50) × 100 = 44.0%.\n</reasoning>\nFinal Answer: 44.0%"
}
] | medium | [
"percentage",
"ratio"
] |
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