messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -784 × 848"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -784 by 848: -784 × 848 = -664832.\n</reasoning>\nFinal Answer: -664832"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 770 km apart. Their speeds are 88 km/h and 49 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 88+49=137 km/h. Time = 770/137 = 5.6204 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (9)x + (-12) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 9² - 4×3×-12 = 225. √discriminant = 15. x = (-(9) ± 15) / (2×3). Solutions: x = 1 or x = -4.\n</reasoning>\nFinal Answer: x = 1 or x = -4"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 119 km apart. Their speeds are 62 km/h and 84 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 62+84=146 km/h. Time = 119/146 = 0.8151 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 46 + 43 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×46=552 and 43×43=1849, then add: 2401.\n</reasoning>\nFinal Answer: 2401"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [33, 64, 3, 60, 79, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 79 - 3 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 78 and 180."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(78,180) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 7, 13] and B = [1, 5, 9, 11, 13, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 5, 7, 9, 11, 15].\n</reasoning>\nFinal Answer: [... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 170 and 69."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(170,69) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 32 and common difference 10, find the 28th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 32 + (28-1)×10 = 32 + 270 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (55)x + (140) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 55² - 4×5×140 = 225. √discriminant = 15. x = (-(55) ± 15) / (2×5). Solutions: x = -4 or x = -7.\n</reasoning>\nFinal Answer: x = -4 or x = -7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 28 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 28 × 2 = 28.0.\n</reasoning>\nFinal Answer: 28.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 15 = 141"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 3x = 126. Divide by 3: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -32 = -279"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 19x = -247. Divide by 19: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 87 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 87 × 3 = 261.\n</reasoning>\nFinal Answer: 261"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/12 + 13/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/12 + 13/10. Common denominator = 60. Result = 83/60.\n</reasoning>\nFinal Answer: 83/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 143 and 183."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(143,183) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Ravi has 68 apples and buys 22 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 68 + 22 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "173 is what percentage of 350?"
},
{
"role": "assistant",
"content": "<reasoning>\n(173/350) × 100 = 49.4286%.\n</reasoning>\nFinal Answer: 49.4286%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 2/14 + 20/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/14 + 20/11. Common denominator = 77. Result = 151/77.\n</reasoning>\nFinal Answer: 151/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 25 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+25) × 34 = 1003.0.\n</reasoning>\nFinal Answer: 1003.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 9 + 37 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×9=441 and 37×44=1628, then add: 2069.\n</reasoning>\nFinal Answer: 2069"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "46 is what percentage of 53?"
},
{
"role": "assistant",
"content": "<reasoning>\n(46/53) × 100 = 86.7925%.\n</reasoning>\nFinal Answer: 86.7925%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:3 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/3, so B = A × (3/15) = 51 × 3/15 = 10.2.\n</reasoning>\nFinal Answer: 10.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 7/20 + 18/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/20 + 18/15. Common denominator = 20. Result = 31/20.\n</reasoning>\nFinal Answer: 31/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [46, 95, 77, 61, 66, 42, 39, 75, 91, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 39 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 51 and width 84."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(51+84) = 2×135 = 270.\n</reasoning>\nFinal Answer: 270"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (0)x + (-3) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×3×-3 = 36. √discriminant = 6. x = (-(0) ± 6) / (2×3). Solutions: x = 1 or x = -1.\n</reasoning>\nFinal Answer: x = 1 or x = -1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 22 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(22+25) = 2×47 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [3, 17, 18] and B = [1, 3, 6, 11, 12, 15, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3].\n</reasoning>\nFinal Answer: [3]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 22 = -254"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 6x = -276. Divide by 6: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/5 - 7/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/5 - 7/4. LCD = 20. Result = 17/20.\n</reasoning>\nFinal Answer: 17/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -20 = 280"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 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: 24x + 37 = -467"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 24x = -504. Divide by 24: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/7 * 5/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/7) × (5/5) = (35/35) = 1 after simplification.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 9] and B = [3, 4, 13, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 8, 9].\n</reasoning>\nFinal Answer: [2, 8, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 7 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 7 = 126 worker-days. New time = 126 / 20 = 6.3 days.\n</reasoning>\nFinal Answer: 6.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 12, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (23-1)×12 = 9 + 264 = 273.\n</reasoning>\nFinal Answer: 273"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:1 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/1, so B = A × (1/22) = 76 × 1/22 = 3.4545.\n</reasoning>\nFinal Answer: 3.4545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 42 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 5+1764-24=1745.\n</reasoning>\nFinal Answer: 1745"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/7 / 17/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/7) ÷ (17/8) = (13/7) × (8/17) = 104/119.\n</reasoning>\nFinal Answer: 104/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 29 + 2 * 31"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×29=1392 and 2×31=62, then add: 1454.\n</reasoning>\nFinal Answer: 1454"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 52 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(52+45) = 2×97 = 194.\n</reasoning>\nFinal Answer: 194"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 596 mod 529"
},
{
"role": "assistant",
"content": "<reasoning>\n596 mod 529: 596 = 529 × 1 + 67, so remainder = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 / 6/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/10) ÷ (6/6) = (20/10) × (6/6) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 91."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 91 = 364.\n</reasoning>\nFinal Answer: 364"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 / 3/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/7) ÷ (3/20) = (17/7) × (20/3) = 340/21.\n</reasoning>\nFinal Answer: 340/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [88, 14, 86, 7, 37, 6, 60, 35, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 362/9 = 40.2222.\n</reasoning>\nFinal Answer: 40.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:37 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/37, so B = A × (37/32) = 69 × 37/32 = 79.7812.\n</reasoning>\nFinal Answer: 79.7812"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:6 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/6, so B = A × (6/30) = 72 × 6/30 = 14.4.\n</reasoning>\nFinal Answer: 14.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -35 = 251"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 26x = 286. Divide by 26: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/9 / 16/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/9) ÷ (16/2) = (17/9) × (2/16) = 17/72.\n</reasoning>\nFinal Answer: 17/72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -872 ÷ 844"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -872 by 844. -872 ÷ 844 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 30 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 18+900-20=898.\n</reasoning>\nFinal Answer: 898"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 5 = 1301"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 27x = 1296. Divide by 27: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 6, 14, 16] and B = [6, 9, 12, 13, 14, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 6, 9, 12, 13, 14, 16, 17].\n</reasoning>\nFinal Answer: [2, 4, 6, 9, 12, 13, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 1 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+1) × 17 = 297.5.\n</reasoning>\nFinal Answer: 297.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -97 mod 954"
},
{
"role": "assistant",
"content": "<reasoning>\n-97 mod 954: -97 = 954 × -1 + 857, so remainder = 857.\n</reasoning>\nFinal Answer: 857"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -880 × 135"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -880 by 135: -880 × 135 = -118800.\n</reasoning>\nFinal Answer: -118800"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 2 = -898"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 25x = -900. Divide by 25: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 246 - 790"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 790 from 246: 246 - 790 = -544.\n</reasoning>\nFinal Answer: -544"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 30 and width 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 30 × 64 = 1920.\n</reasoning>\nFinal Answer: 1920"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 33) * (12 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+33)=55, (12-18)=-6, then 55×-6=-330.\n</reasoning>\nFinal Answer: -330"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 44 and height 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 44 × 63 = 2772.\n</reasoning>\nFinal Answer: 2772"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -937 mod -964"
},
{
"role": "assistant",
"content": "<reasoning>\n-937 mod -964: -937 = -964 × 0 + -937, so remainder = -937.\n</reasoning>\nFinal Answer: -937"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 51 and width 97."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 51 × 97 = 4947.\n</reasoning>\nFinal Answer: 4947"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 17 = 44"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 1x = 27. Divide by 1: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 14 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 14 × 68 = 952.\n</reasoning>\nFinal Answer: 952"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 35 = 395"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 10x = 360. Divide by 10: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [48, 56, 64, 72, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 48 and common difference 8. Next term = 80 + 8 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [38, 67, 38, 53, 70, 89, 79, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 37 = 52.\n</reasoning>\nFinal Answer: 52"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 441 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 441 × (1 - 3/100) = 441 × 0.97 = 427.77.\n</reasoning>\nFinal Answer: 427.77"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 171 apples and buys 102 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 171 + 102 = 273.\n</reasoning>\nFinal Answer: 273"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 47 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+47) × 15 = 382.5.\n</reasoning>\nFinal Answer: 382.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "215 is what percentage of 923?"
},
{
"role": "assistant",
"content": "<reasoning>\n(215/923) × 100 = 23.2936%.\n</reasoning>\nFinal Answer: 23.2936%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹1922. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1922 × 12/100 = 230.64. Total = 1922 + 230.64 = 2152.64.\n</reasoning>\nFinal Answer: 2152.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 37 + 43 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×37=1332 and 43×49=2107, then add: 3439.\n</reasoning>\nFinal Answer: 3439"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:40 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/40, so B = A × (40/46) = 75 × 40/46 = 65.2174.\n</reasoning>\nFinal Answer: 65.2174"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41457 at 5% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41457 × 5 × 9 / 100 = 18655.65.\n</reasoning>\nFinal Answer: 18655.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 85 apples and buys 62 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 85 + 62 = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 42 = 46"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 2x = 4. Divide by 2: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34041 at 19% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34041 × 19 × 8 / 100 = 51742.32.\n</reasoning>\nFinal Answer: 51742.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 10 = -463"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 11x = -473. Divide by 11: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "875 is what percentage of 997?"
},
{
"role": "assistant",
"content": "<reasoning>\n(875/997) × 100 = 87.7633%.\n</reasoning>\nFinal Answer: 87.7633%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 15/17 * 7/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/17) × (7/16) = (105/272) = 105/272 after simplification.\n</reasoning>\nFinal Answer: 105/272"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -22 = -394"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 12x = -372. Divide by 12: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 78 and height 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 78 × 90 = 7020.\n</reasoning>\nFinal Answer: 7020"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 91 and 152."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(91,152) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Given A = [3, 9, 10, 12, 14, 16] and B = [5, 14, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 5, 9, 10, 12, 16, 18].\n</reasoning>\nFinal Answer: [3,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -43 = 421"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 29x = 464. Divide by 29: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 25 * 20 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×20=500, then 37+500-28=509.\n</reasoning>\nFinal Answer: 509"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 12 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 12 = 60 worker-days. New time = 60 / 7 = 8.5714 days.\n</reasoning>\nFinal Answer: 8.5714"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [12, 76, 57, 3, 72, 64, 64, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 3 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47394 at 8% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47394 × 8 × 5 / 100 = 18957.6.\n</reasoning>\nFinal Answer: 18957.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 120 apples and buys 48 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 120 + 48 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 14 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 14 × (1 + 7/100) = 14 × 1.07 = 14.98.\n</reasoning>\nFinal Answer: 14.98"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 19 * 35 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×35=665, then 14+665-37=642.\n</reasoning>\nFinal Answer: 642"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 552 + -43"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 552 and -43: 552 + -43 = 509.\n</reasoning>\nFinal Answer: 509"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:22 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/22, so B = A × (22/22) = 23 × 22/22 = 23.0.\n</reasoning>\nFinal Answer: 23.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 48 + 20 * 15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×48=1440 and 20×15=300, then add: 1740.\n</reasoning>\nFinal Answer: 1740"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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