messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Increase 961 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 15%: 961 × (1 + 15/100) = 961 × 1.15 = 1105.15.\n</reasoning>\nFinal Answer: 1105.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 224 × 335"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 224 by 335: 224 × 335 = 75040.\n</reasoning>\nFinal Answer: 75040"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 50 * 19 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 50×19=950, then 17+950-31=936.\n</reasoning>\nFinal Answer: 936"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 13 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 13 = 65 worker-days. New time = 65 / 15 = 4.3333 days.\n</reasoning>\nFinal Answer: 4.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -919 mod -629"
},
{
"role": "assistant",
"content": "<reasoning>\n-919 mod -629: -919 = -629 × 1 + -290, so remainder = -290.\n</reasoning>\nFinal Answer: -290"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 100 and height 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 100 × 53 = 2650.0.\n</reasoning>\nFinal Answer: 2650.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 17 + 41 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×17=850 and 41×18=738, then add: 1588.\n</reasoning>\nFinal Answer: 1588"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 16 * 34 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 16×34=544, then 18+544-10=552.\n</reasoning>\nFinal Answer: 552"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 88 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(88+93) = 2×181 = 362.\n</reasoning>\nFinal Answer: 362"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 40 + 8 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×40=1520 and 8×27=216, then add: 1736.\n</reasoning>\nFinal Answer: 1736"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -244 - -651"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -651 from -244: -244 - -651 = 407.\n</reasoning>\nFinal Answer: 407"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 848 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 848 × (1 + 40/100) = 848 × 1.4 = 1187.2.\n</reasoning>\nFinal Answer: 1187.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 16 and width 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(16+31) = 2×47 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 50% of 327?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 327 = (50/100) × 327 = 163.5.\n</reasoning>\nFinal Answer: 163.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [73, 10, 71, 87, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 10, 71, 73, 87]. Middle value(s) → median = 71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 46 * 45 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×45=2070, then 47+2070-11=2106.\n</reasoning>\nFinal Answer: 2106"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 734 - 929"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 929 from 734: 734 - 929 = -195.\n</reasoning>\nFinal Answer: -195"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 725 - 146"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 146 from 725: 725 - 146 = 579.\n</reasoning>\nFinal Answer: 579"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 751 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 751 × (1 - 20/100) = 751 × 0.8 = 600.8.\n</reasoning>\nFinal Answer: 600.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 9] and B = [1, 5, 9, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 5, 7, 9, 17, 19].\n</reasoning>\nFinal Answer: [1, 5, 7, 9, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 45% of 560?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 560 = (45/100) × 560 = 252.0.\n</reasoning>\nFinal Answer: 252.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 25 = -661"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 14x = -686. Divide by 14: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 92 km/h. How far does it travel in 9 hours and 56 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 56/60 = 9.9333 hours. Distance = speed × time = 92 × 9.9333 = 913.8667 km.\n</reasoning>\nFinal Answer: 913.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 940 + -157"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 940 and -157: 940 + -157 = 783.\n</reasoning>\nFinal Answer: 783"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -301 ÷ 80"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -301 by 80. -301 ÷ 80 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [90, 75, 72, 4, 65, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 11, 65, 72, 75, 90]. Middle value(s) → median = 68.5.\n</reasoning>\nFinal Answer: 68.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 54 and width 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 54 × 34 = 1836.\n</reasoning>\nFinal Answer: 1836"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 14, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (18-1)×14 = 48 + 238 = 286.\n</reasoning>\nFinal Answer: 286"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 28 = 657"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 17x = 629. Divide by 17: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 20/20 * 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/20) × (2/7) = (40/140) = 2/7 after simplification.\n</reasoning>\nFinal Answer: 2/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 41) * (20 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+41)=55, (20-36)=-16, then 55×-16=-880.\n</reasoning>\nFinal Answer: -880"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 24, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 24 + 27 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:10 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/10, so B = A × (10/21) = 31 × 10/21 = 14.7619.\n</reasoning>\nFinal Answer: 14.7619"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 83 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 83 × 63 = 5229.\n</reasoning>\nFinal Answer: 5229"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 12, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (31-1)×12 = 4 + 360 = 364.\n</reasoning>\nFinal Answer: 364"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 44 = 34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 1x = -10. Divide by 1: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 1, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (26-1)×1 = 42 + 25 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:35 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/35, so B = A × (35/42) = 68 × 35/42 = 56.6667.\n</reasoning>\nFinal Answer: 56.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 6 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 6 = 72 worker-days. New time = 72 / 4 = 18.0 days.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [2, 4, 6, 8, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 2 and common difference 2. Next term = 10 + 2 = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 45. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 45² = π × 2025 ≈ 6361.7251.\n</reasoning>\nFinal Answer: 6361.7251"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 23 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 42+529-32=539.\n</reasoning>\nFinal Answer: 539"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 42) * (19 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+42)=86, (19-7)=12, then 86×12=1032.\n</reasoning>\nFinal Answer: 1032"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/11 * 8/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/11) × (8/12) = (80/132) = 20/33 after simplification.\n</reasoning>\nFinal Answer: 20/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 10 and width 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 10 × 42 = 420.\n</reasoning>\nFinal Answer: 420"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -901 ÷ 736"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -901 by 736. -901 ÷ 736 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 64 km/h. How far does it travel in 2 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 55/60 = 2.9167 hours. Distance = speed × time = 64 × 2.9167 = 186.6667 km.\n</reasoning>\nFinal Answer: 186.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/13 - 18/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/13 - 18/18. LCD = 13. Result = -9/13.\n</reasoning>\nFinal Answer: -9/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 113 km/h. How far does it travel in 12 hours and 24 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 24/60 = 12.4000 hours. Distance = speed × time = 113 × 12.4000 = 1401.2 km.\n</reasoning>\nFinal Answer: 1401.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 26 = 1006"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 28x = 980. Divide by 28: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (32)x + (-80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 32² - 4×4×-80 = 2304. √discriminant = 48. x = (-(32) ± 48) / (2×4). Solutions: x = 2 or x = -10.\n</reasoning>\nFinal Answer: x = 2 or x = -10"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 32 and height 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 32 × 99 = 1584.0.\n</reasoning>\nFinal Answer: 1584.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 70% of 223?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 223 = (70/100) × 223 = 156.1.\n</reasoning>\nFinal Answer: 156.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -11 = 1149"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 29x = 1160. Divide by 29: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 185 ÷ 235"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 185 by 235. 185 ÷ 235 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [49, 5, 23, 53, 94, 67, 8, 30, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {49: 1, 5: 1, 23: 1, 53: 1, 94: 1, 67: 1, 8: 1, 30: 1, 66: 1}. Most frequent: [49, 5, 23, 53, 94, 67, 8, 30, 66].\n</reasoning>\nFinal Answer:... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 8, 9, 11, 13, 14] and B = [1, 3, 4, 6, 9, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 6, 9].\n</reasoning>\nFinal Answer: [1, 6, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 768 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 768 × (1 - 100/100) = 768 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 8 days. How many days will 6 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 8 = 24 worker-days. New time = 24 / 6 = 4.0 days.\n</reasoning>\nFinal Answer: 4.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 0 = 108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 6x = 108. Divide by 6: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 18 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 6+324-25=305.\n</reasoning>\nFinal Answer: 305"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 181."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 181 by smallest primes repeatedly: 181 = 181.\n</reasoning>\nFinal Answer: 181"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -22 = 603"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 25x = 625. Divide by 25: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 23 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 23 × (1 - 25/100) = 23 × 0.75 = 17.25.\n</reasoning>\nFinal Answer: 17.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 411 km apart. Their speeds are 70 km/h and 54 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+54=124 km/h. Time = 411/124 = 3.3145 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 87 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 87 × 25 = 1087.5.\n</reasoning>\nFinal Answer: 1087.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 892 ÷ -53"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 892 by -53. 892 ÷ -53 = -17 (integer division).\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 36 = 792"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 18x = 756. Divide by 18: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -772 - 532"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 532 from -772: -772 - 532 = -1304.\n</reasoning>\nFinal Answer: -1304"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [10, 12, 14, 17] and B = [10, 11, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [10].\n</reasoning>\nFinal Answer: [10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "An item costs ₹800. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 800 × 18/100 = 144.0. Total = 800 + 144.0 = 944.0.\n</reasoning>\nFinal Answer: 944.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [6, 10, 12, 16, 17] and B = [8, 10, 13, 14, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 12, 16, 17].\n</reasoning>\nFinal Answer: [6, 12, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [71, 64, 44, 96, 69, 69, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {71: 1, 64: 1, 44: 1, 96: 1, 69: 2, 56: 1}. Most frequent: 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:8 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/8, so B = A × (8/19) = 81 × 8/19 = 34.1053.\n</reasoning>\nFinal Answer: 34.1053"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 42, 26, 4, 19, 9, 90, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 342/8 = 42.75.\n</reasoning>\nFinal Answer: 42.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 37 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+37) × 11 = 324.5.\n</reasoning>\nFinal Answer: 324.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 602 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 602 × (1 - 80/100) = 602 × 0.19999999999999996 = 120.4.\n</reasoning>\nFinal Answer: 120.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 453 × -391"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 453 by -391: 453 × -391 = -177123.\n</reasoning>\nFinal Answer: -177123"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 962 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 962 × (1 + 5/100) = 962 × 1.05 = 1010.1.\n</reasoning>\nFinal Answer: 1010.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 661 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 661 × (1 + 70/100) = 661 × 1.7 = 1123.7.\n</reasoning>\nFinal Answer: 1123.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 11 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 11 = 198 worker-days. New time = 198 / 18 = 11.0 days.\n</reasoning>\nFinal Answer: 11.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 76 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 76 × 18 = 1368.\n</reasoning>\nFinal Answer: 1368"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 94 and width 16."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(94+16) = 2×110 = 220.\n</reasoning>\nFinal Answer: 220"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 17) * (40 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+17)=20, (40-24)=16, then 20×16=320.\n</reasoning>\nFinal Answer: 320"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [6, 1, 15, 45, 78, 40, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {6: 1, 1: 1, 15: 1, 45: 1, 78: 1, 40: 1, 24: 1}. Most frequent: [6, 1, 15, 45, 78, 40, 24].\n</reasoning>\nFinal Answer: [6, 1, 15, 45, 78, 40, 24]"
... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 244 - 472"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 472 from 244: 244 - 472 = -228.\n</reasoning>\nFinal Answer: -228"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 275 ÷ 827"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 275 by 827. 275 ÷ 827 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:50 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/50, so B = A × (50/28) = 100 × 50/28 = 178.5714.\n</reasoning>\nFinal Answer: 178.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "265 is what percentage of 792?"
},
{
"role": "assistant",
"content": "<reasoning>\n(265/792) × 100 = 33.4596%.\n</reasoning>\nFinal Answer: 33.4596%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [92, 22, 71, 76, 66, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [22, 66, 71, 76, 92, 99]. Middle value(s) → median = 73.5.\n</reasoning>\nFinal Answer: 73.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -21 = -1269"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 26x = -1248. Divide by 26: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 41 + 48 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×41=246 and 48×8=384, then add: 630.\n</reasoning>\nFinal Answer: 630"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "118 is what percentage of 209?"
},
{
"role": "assistant",
"content": "<reasoning>\n(118/209) × 100 = 56.4593%.\n</reasoning>\nFinal Answer: 56.4593%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 925 × 259"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 925 by 259: 925 × 259 = 239575.\n</reasoning>\nFinal Answer: 239575"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/14 / 7/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/14) ÷ (7/10) = (20/14) × (10/7) = 100/49.\n</reasoning>\nFinal Answer: 100/49"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "750 is what percentage of 897?"
},
{
"role": "assistant",
"content": "<reasoning>\n(750/897) × 100 = 83.612%.\n</reasoning>\nFinal Answer: 83.612%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 14/5 - 2/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/5 - 2/14. LCD = 35. Result = 93/35.\n</reasoning>\nFinal Answer: 93/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [40, 55, 28, 19, 44, 45, 81, 61, 8, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 19, 28, 38, 40, 44, 45, 55, 61, 81]. Middle value(s) → median = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 17/1 - 1/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/1 - 1/13. LCD = 13. Result = 220/13.\n</reasoning>\nFinal Answer: 220/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 260."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 260 by smallest primes repeatedly: 260 = 2 × 2 × 5 × 13.\n</reasoning>\nFinal Answer: 2 × 2 × 5 × 13"
}
] | medium | [
"number_theory",
"prime_factors"
] |
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