messages listlengths 2 2 | difficulty stringclasses 3 values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a rectangle with length 75 and width 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 75 × 6 = 450.\n</reasoning>\nFinal Answer: 450"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 137 and 103."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(137,103) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Decrease 115 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 115 × (1 - 70/100) = 115 × 0.30000000000000004 = 34.5.\n</reasoning>\nFinal Answer: 34.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 132 ÷ -344"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 132 by -344. 132 ÷ -344 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [10, 12, 14] and B = [7, 8, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [10, 12, 14].\n</reasoning>\nFinal Answer: [10, 12, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 * 23 + 4 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 24×23=552 and 4×26=104, then add: 656.\n</reasoning>\nFinal Answer: 656"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 210 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 210 × (1 + 90/100) = 210 × 1.9 = 399.0.\n</reasoning>\nFinal Answer: 399.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3901. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3901 × 5/100 = 195.05. Total = 3901 + 195.05 = 4096.05.\n</reasoning>\nFinal Answer: 4096.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/19 - 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/19 - 15/13. LCD = 247. Result = -77/247.\n</reasoning>\nFinal Answer: -77/247"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 + 3/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/6 + 3/13. Common denominator = 78. Result = 83/78.\n</reasoning>\nFinal Answer: 83/78"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [92, 85, 49, 30, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [30, 49, 85, 90, 92]. Middle value(s) → median = 85.\n</reasoning>\nFinal Answer: 85"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 18 * 33 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 18×33=594, then 13+594-8=599.\n</reasoning>\nFinal Answer: 599"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 622 km apart. Their speeds are 104 km/h and 118 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 104+118=222 km/h. Time = 622/222 = 2.8018 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 136 + 317"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 136 and 317: 136 + 317 = 453.\n</reasoning>\nFinal Answer: 453"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -732 ÷ 769"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -732 by 769. -732 ÷ 769 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 144 and 155."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(144,155) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -10 = 290"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 30x = 300. Divide by 30: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -12 = -108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 12x = -96. Divide by 12: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 1000 × -76"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 1000 by -76: 1000 × -76 = -76000.\n</reasoning>\nFinal Answer: -76000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "84 is what percentage of 202?"
},
{
"role": "assistant",
"content": "<reasoning>\n(84/202) × 100 = 41.5842%.\n</reasoning>\nFinal Answer: 41.5842%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 518 + -648"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 518 and -648: 518 + -648 = -130.\n</reasoning>\nFinal Answer: -130"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 12% of 530?"
},
{
"role": "assistant",
"content": "<reasoning>\n12% of 530 = (12/100) × 530 = 63.6.\n</reasoning>\nFinal Answer: 63.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 81 and height 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 81 × 71 = 5751.\n</reasoning>\nFinal Answer: 5751"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 3% of 943?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 943 = (3/100) × 943 = 28.29.\n</reasoning>\nFinal Answer: 28.29"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 12, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (32-1)×12 = 40 + 372 = 412.\n</reasoning>\nFinal Answer: 412"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 22 = 668"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 17x = 646. Divide by 17: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 21 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 21 × (1 + 5/100) = 21 × 1.05 = 22.05.\n</reasoning>\nFinal Answer: 22.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 986 × -232"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 986 by -232: 986 × -232 = -228752.\n</reasoning>\nFinal Answer: -228752"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 24 = 3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 1x = -21. Divide by 1: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [5, 12, 13, 14] and B = [2, 5, 10, 15, 16, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 5, 10, 12, 13, 14, 15, 16, 18].\n</reasoning>\nFinal Answer: [2, 5, 10, 12, 13, 14,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 12/14 - 8/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/14 - 8/7. LCD = 7. Result = -2/7.\n</reasoning>\nFinal Answer: -2/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9400 at 17% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9400 × 17 × 3 / 100 = 4794.0.\n</reasoning>\nFinal Answer: 4794.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 35 + 7 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×35=70 and 7×46=322, then add: 392.\n</reasoning>\nFinal Answer: 392"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/1 + 16/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/1 + 16/13. Common denominator = 13. Result = 120/13.\n</reasoning>\nFinal Answer: 120/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "24 is what percentage of 786?"
},
{
"role": "assistant",
"content": "<reasoning>\n(24/786) × 100 = 3.0534%.\n</reasoning>\nFinal Answer: 3.0534%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 10/10 * 18/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/10) × (18/9) = (180/90) = 2 after simplification.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -443 ÷ 730"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -443 by 730. -443 ÷ 730 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [23, 30, 37, 44, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 23 and common difference 7. Next term = 51 + 7 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 5 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 5²=25, then 45+25-22=48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [37, 51, 72, 73, 73, 92, 84, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 37 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 598 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 598 × (1 - 35/100) = 598 × 0.65 = 388.7.\n</reasoning>\nFinal Answer: 388.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -10 = 614"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 16x = 624. Divide by 16: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [97, 90, 41, 59, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 41, 59, 90, 97]. Middle value(s) → median = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 13 * 14 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×14=182, then 8+182-39=151.\n</reasoning>\nFinal Answer: 151"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 859 km apart. Their speeds are 69 km/h and 61 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 69+61=130 km/h. Time = 859/130 = 6.6077 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 99 × 214"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 99 by 214: 99 × 214 = 21186.\n</reasoning>\nFinal Answer: 21186"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/17 - 3/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/17 - 3/20. LCD = 340. Result = 49/340.\n</reasoning>\nFinal Answer: 49/340"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 27 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 27 = 513 worker-days. New time = 513 / 6 = 85.5 days.\n</reasoning>\nFinal Answer: 85.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:16 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/16, so B = A × (16/33) = 95 × 16/33 = 46.0606.\n</reasoning>\nFinal Answer: 46.0606"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 474 km apart. Their speeds are 77 km/h and 102 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 77+102=179 km/h. Time = 474/179 = 2.648 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:10 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/10, so B = A × (10/7) = 47 × 10/7 = 67.1429.\n</reasoning>\nFinal Answer: 67.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 37 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 37+1369-3=1403.\n</reasoning>\nFinal Answer: 1403"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -481 + 811"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -481 and 811: -481 + 811 = 330.\n</reasoning>\nFinal Answer: 330"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 8, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (26-1)×8 = 33 + 200 = 233.\n</reasoning>\nFinal Answer: 233"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:1 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/1, so B = A × (1/48) = 89 × 1/48 = 1.8542.\n</reasoning>\nFinal Answer: 1.8542"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 3 and common difference 9, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 3 + (39-1)×9 = 3 + 342 = 345.\n</reasoning>\nFinal Answer: 345"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 7/20 / 20/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/20) ÷ (20/8) = (7/20) × (8/20) = 7/50.\n</reasoning>\nFinal Answer: 7/50"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 7 and height 79."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 7 × 79 = 276.5.\n</reasoning>\nFinal Answer: 276.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [93, 57, 82, 15, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 15 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 14, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (13-1)×14 = 37 + 168 = 205.\n</reasoning>\nFinal Answer: 205"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 144 + 443"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 144 and 443: 144 + 443 = 587.\n</reasoning>\nFinal Answer: 587"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:22 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/22, so B = A × (22/3) = 75 × 22/3 = 550.0.\n</reasoning>\nFinal Answer: 550.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 174 km/h. How far does it travel in 7 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 49/60 = 7.8167 hours. Distance = speed × time = 174 × 7.8167 = 1360.1 km.\n</reasoning>\nFinal Answer: 1360.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 4 = 137"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 7x = 133. Divide by 7: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 43) * (38 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+43)=59, (38-13)=25, then 59×25=1475.\n</reasoning>\nFinal Answer: 1475"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:21 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/21, so B = A × (21/28) = 39 × 21/28 = 29.25.\n</reasoning>\nFinal Answer: 29.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 27 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 27 = 324 worker-days. New time = 324 / 16 = 20.25 days.\n</reasoning>\nFinal Answer: 20.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 216 mod 863"
},
{
"role": "assistant",
"content": "<reasoning>\n216 mod 863: 216 = 863 × 0 + 216, so remainder = 216.\n</reasoning>\nFinal Answer: 216"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [21, 36, 83, 24, 6, 9, 35, 33, 19, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 9, 19, 21, 24, 26, 33, 35, 36, 83]. Middle value(s) → median = 25.0.\n</reasoning>\nFinal Answer: 25.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 50 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (50×48)/2 = 1200.\n</reasoning>\nFinal Answer: 1200"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "480 is what percentage of 941?"
},
{
"role": "assistant",
"content": "<reasoning>\n(480/941) × 100 = 51.0096%.\n</reasoning>\nFinal Answer: 51.0096%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -22 = 528"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 25x = 550. Divide by 25: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 29 + 19 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×29=1421 and 19×36=684, then add: 2105.\n</reasoning>\nFinal Answer: 2105"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -24 = -280"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 16x = -256. Divide by 16: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [45, 39, 8, 30, 37, 19, 82, 47, 87, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 19, 30, 37, 39, 45, 47, 51, 82, 87]. Middle value(s) → median = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 56 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 56 × 15 = 840.\n</reasoning>\nFinal Answer: 840"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 727 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 727 × (1 + 45/100) = 727 × 1.45 = 1054.15.\n</reasoning>\nFinal Answer: 1054.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 24 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 24 × 61 = 1464.\n</reasoning>\nFinal Answer: 1464"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 185 apples and buys 144 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 185 + 144 = 329.\n</reasoning>\nFinal Answer: 329"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 49 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 49 × 39 = 1911.\n</reasoning>\nFinal Answer: 1911"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 7/8 / 4/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/8) ÷ (4/2) = (7/8) × (2/4) = 7/16.\n</reasoning>\nFinal Answer: 7/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [78, 27, 84, 91, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [27, 78, 84, 91, 94]. Middle value(s) → median = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 399 - 215"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 215 from 399: 399 - 215 = 184.\n</reasoning>\nFinal Answer: 184"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 28 * 12 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×12=336, then 11+336-48=299.\n</reasoning>\nFinal Answer: 299"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [49, 91, 98, 65, 54, 20]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {49: 1, 91: 1, 98: 1, 65: 1, 54: 1, 20: 1}. Most frequent: [49, 91, 98, 65, 54, 20].\n</reasoning>\nFinal Answer: [49, 91, 98, 65, 54, 20]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 49 * 8 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×8=392, then 33+392-22=403.\n</reasoning>\nFinal Answer: 403"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 49 ** 2 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 4+2401-11=2394.\n</reasoning>\nFinal Answer: 2394"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -608 - -27"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from -608: -608 - -27 = -581.\n</reasoning>\nFinal Answer: -581"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 33 + 38 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×33=627 and 38×9=342, then add: 969.\n</reasoning>\nFinal Answer: 969"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 6 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 6+36-28=14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -870 - 301"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 301 from -870: -870 - 301 = -1171.\n</reasoning>\nFinal Answer: -1171"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -909 - -362"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -362 from -909: -909 - -362 = -547.\n</reasoning>\nFinal Answer: -547"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 34 * 33 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 34×33=1122, then 18+1122-30=1110.\n</reasoning>\nFinal Answer: 1110"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 77 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 77 × 3 = 115.5.\n</reasoning>\nFinal Answer: 115.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -332 ÷ -508"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -332 by -508. -332 ÷ -508 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/13 * 11/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/13) × (11/1) = (11/13) = 11/13 after simplification.\n</reasoning>\nFinal Answer: 11/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 67 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 67 × 18 = 1206.\n</reasoning>\nFinal Answer: 1206"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "317 is what percentage of 423?"
},
{
"role": "assistant",
"content": "<reasoning>\n(317/423) × 100 = 74.9409%.\n</reasoning>\nFinal Answer: 74.9409%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 12, 15, 16] and B = [1, 4, 11], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 7, 11, 12, 15, 16].\n</reasoning>\nFinal Answer: [1, 7, 11, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 4/13 / 9/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/13) ÷ (9/15) = (4/13) × (15/9) = 20/39.\n</reasoning>\nFinal Answer: 20/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
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