messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Given A = [7, 8, 11, 13, 14, 18, 19] and B = [2, 6, 10, 16, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [18].\n</reasoning>\nFinal Answer: [18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -914 × -953"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -914 by -953: -914 × -953 = 871042.\n</reasoning>\nFinal Answer: 871042"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -407 mod -270"
},
{
"role": "assistant",
"content": "<reasoning>\n-407 mod -270: -407 = -270 × 1 + -137, so remainder = -137.\n</reasoning>\nFinal Answer: -137"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 14 = 314"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 25x = 300. Divide by 25: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 14 and width 13."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(14+13) = 2×27 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 17, 8 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (17+8) × 14 = 175.0.\n</reasoning>\nFinal Answer: 175.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 30 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 30 × 62 = 1860.\n</reasoning>\nFinal Answer: 1860"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹996. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 996 × 5/100 = 49.8. Total = 996 + 49.8 = 1045.8.\n</reasoning>\nFinal Answer: 1045.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -22 = 453"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 19x = 475. Divide by 19: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -46 = 434"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 16x = 480. Divide by 16: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 9, 23, and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 9 + 23 + 29 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹15486 at 17% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 15486 × 17 × 1 / 100 = 2632.62.\n</reasoning>\nFinal Answer: 2632.62"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 138 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 138 × (1 + 5/100) = 138 × 1.05 = 144.9.\n</reasoning>\nFinal Answer: 144.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:38 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/38, so B = A × (38/45) = 42 × 38/45 = 35.4667.\n</reasoning>\nFinal Answer: 35.4667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 108 mod -944"
},
{
"role": "assistant",
"content": "<reasoning>\n108 mod -944: 108 = -944 × -1 + -836, so remainder = -836.\n</reasoning>\nFinal Answer: -836"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A bag has 2 red and 9 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 9/11 = 0.8182.\n</reasoning>\nFinal Answer: 0.8182"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 769 km apart. Their speeds are 65 km/h and 57 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 65+57=122 km/h. Time = 769/122 = 6.3033 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 * 2/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/12) × (2/19) = (22/228) = 11/114 after simplification.\n</reasoning>\nFinal Answer: 11/114"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 49 + 42 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×49=2058 and 42×46=1932, then add: 3990.\n</reasoning>\nFinal Answer: 3990"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 28) * (43 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+28)=70, (43-41)=2, then 70×2=140.\n</reasoning>\nFinal Answer: 140"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 30% of 266?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 266 = (30/100) × 266 = 79.8.\n</reasoning>\nFinal Answer: 79.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -870 + -1000"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -870 and -1000: -870 + -1000 = -1870.\n</reasoning>\nFinal Answer: -1870"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 16 = 5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 1x = -11. Divide by 1: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 1 = 985"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 24x = 984. Divide by 24: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 99 and 88."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(99,88) = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 683 - -854"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -854 from 683: 683 - -854 = 1537.\n</reasoning>\nFinal Answer: 1537"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:50 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/50, so B = A × (50/19) = 28 × 50/19 = 73.6842.\n</reasoning>\nFinal Answer: 73.6842"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:8 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/8, so B = A × (8/34) = 80 × 8/34 = 18.8235.\n</reasoning>\nFinal Answer: 18.8235"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -653 mod 251"
},
{
"role": "assistant",
"content": "<reasoning>\n-653 mod 251: -653 = 251 × -3 + 100, so remainder = 100.\n</reasoning>\nFinal Answer: 100"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 + 29 * 37 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×37=1073, then 26+1073-47=1052.\n</reasoning>\nFinal Answer: 1052"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 5/15 * 1/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/15) × (1/5) = (5/75) = 1/15 after simplification.\n</reasoning>\nFinal Answer: 1/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 12 = 684"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 24x = 672. Divide by 24: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/8 + 12/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/8 + 12/1. Common denominator = 4. Result = 51/4.\n</reasoning>\nFinal Answer: 51/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [44, 87, 9, 65, 80, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 294/6 = 49.0.\n</reasoning>\nFinal Answer: 49.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 41 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (41×18)/1 = 738.\n</reasoning>\nFinal Answer: 738"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 73 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 73 × 62 = 2263.0.\n</reasoning>\nFinal Answer: 2263.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 20/13 + 8/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/13 + 8/20. Common denominator = 65. Result = 126/65.\n</reasoning>\nFinal Answer: 126/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 41, 45 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (41+45) × 37 = 1591.0.\n</reasoning>\nFinal Answer: 1591.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:37 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/37, so B = A × (37/11) = 37 × 37/11 = 124.4545.\n</reasoning>\nFinal Answer: 124.4545"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 7/2 * 7/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/2) × (7/14) = (49/28) = 7/4 after simplification.\n</reasoning>\nFinal Answer: 7/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 72 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(72+11) = 2×83 = 166.\n</reasoning>\nFinal Answer: 166"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:39 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/39, so B = A × (39/2) = 13 × 39/2 = 253.5.\n</reasoning>\nFinal Answer: 253.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "163 is what percentage of 874?"
},
{
"role": "assistant",
"content": "<reasoning>\n(163/874) × 100 = 18.6499%.\n</reasoning>\nFinal Answer: 18.6499%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 22 * 9 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×9=198, then 33+198-48=183.\n</reasoning>\nFinal Answer: 183"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [24, 54, 24, 44, 3, 76, 29, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 24, 24, 24, 29, 44, 54, 76]. Middle value(s) → median = 26.5.\n</reasoning>\nFinal Answer: 26.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "285 is what percentage of 345?"
},
{
"role": "assistant",
"content": "<reasoning>\n(285/345) × 100 = 82.6087%.\n</reasoning>\nFinal Answer: 82.6087%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 183."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 183 by smallest primes repeatedly: 183 = 3 × 61.\n</reasoning>\nFinal Answer: 3 × 61"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 15 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 15 × 22 = 165.0.\n</reasoning>\nFinal Answer: 165.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 41 and common difference 7, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 41 + (11-1)×7 = 41 + 70 = 111.\n</reasoning>\nFinal Answer: 111"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 47 apples and buys 173 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 47 + 173 = 220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/13 / 17/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/13) ÷ (17/11) = (17/13) × (11/17) = 11/13.\n</reasoning>\nFinal Answer: 11/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -446 - 301"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 301 from -446: -446 - 301 = -747.\n</reasoning>\nFinal Answer: -747"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "60 is what percentage of 198?"
},
{
"role": "assistant",
"content": "<reasoning>\n(60/198) × 100 = 30.303%.\n</reasoning>\nFinal Answer: 30.303%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 10% of 496?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 496 = (10/100) × 496 = 49.6.\n</reasoning>\nFinal Answer: 49.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -19 = 481"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 25x = 500. Divide by 25: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 40 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 40 × 84 = 1680.0.\n</reasoning>\nFinal Answer: 1680.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/1 - 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/1 - 19/10. LCD = 10. Result = -9/10.\n</reasoning>\nFinal Answer: -9/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -4 = 231"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 5x = 235. Divide by 5: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -987 × 21"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -987 by 21: -987 × 21 = -20727.\n</reasoning>\nFinal Answer: -20727"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 27 * 22 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×22=594, then 39+594-6=627.\n</reasoning>\nFinal Answer: 627"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 8/14 - 6/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/14 - 6/17. LCD = 119. Result = 26/119.\n</reasoning>\nFinal Answer: 26/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 749 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 749 × (1 - 100/100) = 749 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 25 * 18 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×18=450, then 11+450-28=433.\n</reasoning>\nFinal Answer: 433"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/2 + 6/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/2 + 6/19. Common denominator = 38. Result = 335/38.\n</reasoning>\nFinal Answer: 335/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 961 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 961 × (1 + 90/100) = 961 × 1.9 = 1825.9.\n</reasoning>\nFinal Answer: 1825.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 38 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 38 × 81 = 3078.\n</reasoning>\nFinal Answer: 3078"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹574. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 574 × 12/100 = 68.88. Total = 574 + 68.88 = 642.88.\n</reasoning>\nFinal Answer: 642.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -26 = -320"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 6x = -294. Divide by 6: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹15602 at 12% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 15602 × 12 × 5 / 100 = 9361.2.\n</reasoning>\nFinal Answer: 9361.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 14 * 4 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×4=56, then 1+56-23=34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:32 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/32, so B = A × (32/18) = 85 × 32/18 = 151.1111.\n</reasoning>\nFinal Answer: 151.1111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 35 mod 518"
},
{
"role": "assistant",
"content": "<reasoning>\n35 mod 518: 35 = 518 × 0 + 35, so remainder = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 775 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 775 × (1 - 45/100) = 775 × 0.55 = 426.25.\n</reasoning>\nFinal Answer: 426.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 39 = 683"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 28x = 644. Divide by 28: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 955 ÷ -146"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 955 by -146. 955 ÷ -146 = -7 (integer division).\n</reasoning>\nFinal Answer: -7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 3 = 75"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 24x = 72. Divide by 24: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 28 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 28 = 420 worker-days. New time = 420 / 3 = 140.0 days.\n</reasoning>\nFinal Answer: 140.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 6 * 19 - 13"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 6×19=114, then 18+114-13=119.\n</reasoning>\nFinal Answer: 119"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 17 and 46."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (17×46)/1 = 782.\n</reasoning>\nFinal Answer: 782"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -9 = -1062"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 27x = -1053. Divide by 27: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -4 = 115"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 7x = 119. Divide by 7: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 473."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 473 by smallest primes repeatedly: 473 = 11 × 43.\n</reasoning>\nFinal Answer: 11 × 43"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 12, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (27-1)×12 = 10 + 312 = 322.\n</reasoning>\nFinal Answer: 322"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 99 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 99 × 12 = 594.0.\n</reasoning>\nFinal Answer: 594.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 44 and width 29."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(44+29) = 2×73 = 146.\n</reasoning>\nFinal Answer: 146"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 61 and height 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 61 × 85 = 5185.\n</reasoning>\nFinal Answer: 5185"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 49 = 967"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 27x = 918. Divide by 27: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 458 ÷ 73"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 458 by 73. 458 ÷ 73 = 6 (integer division).\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 7 = 331"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 27x = 324. Divide by 27: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 10 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 10 × 31 = 310.\n</reasoning>\nFinal Answer: 310"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/19 - 20/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/19 - 20/17. LCD = 323. Result = -142/323.\n</reasoning>\nFinal Answer: -142/323"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/20 + 4/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/20 + 4/20. Common denominator = 20. Result = 7/20.\n</reasoning>\nFinal Answer: 7/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 14] and B = [1, 2, 3, 5, 7, 8], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 5, 7, 8, 14].\n</reasoning>\nFinal Answer: [3, 5, 7, 8, 14]"... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 39 and common difference 15, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 39 + (23-1)×15 = 39 + 330 = 369.\n</reasoning>\nFinal Answer: 369"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 185."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 185 by smallest primes repeatedly: 185 = 5 × 37.\n</reasoning>\nFinal Answer: 5 × 37"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [47, 66, 85, 104, 123]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 47 and common difference 19. Next term = 123 + 19 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 181 apples and buys 10 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 181 + 10 = 191.\n</reasoning>\nFinal Answer: 191"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [53, 35, 32, 54, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 32 = 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:9 and A = 98, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/9, so B = A × (9/23) = 98 × 9/23 = 38.3478.\n</reasoning>\nFinal Answer: 38.3478"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:6 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/6, so B = A × (6/35) = 13 × 6/35 = 2.2286.\n</reasoning>\nFinal Answer: 2.2286"
}
] | medium | [
"ratio",
"proportion"
] |
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