messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Two trains start towards each other from stations 183 km apart. Their speeds are 54 km/h and 81 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+81=135 km/h. Time = 183/135 = 1.3556 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 12 * 7 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×7=84, then 41+84-39=86.\n</reasoning>\nFinal Answer: 86"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -5 = 125"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 10x = 130. Divide by 10: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 25 ** 2 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 25²=625, then 43+625-35=633.\n</reasoning>\nFinal Answer: 633"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 41 + -153"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 41 and -153: 41 + -153 = -112.\n</reasoning>\nFinal Answer: -112"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-3)x + (-54) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -3² - 4×1×-54 = 225. √discriminant = 15. x = (-(-3) ± 15) / (2×1). Solutions: x = 9 or x = -6.\n</reasoning>\nFinal Answer: x = 9 or x = -6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -624 ÷ -451"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -624 by -451. -624 ÷ -451 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2500. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2500 × 12/100 = 300.0. Total = 2500 + 300.0 = 2800.0.\n</reasoning>\nFinal Answer: 2800.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [5, 9, 19] and B = [2, 5, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 9, 18, 19].\n</reasoning>\nFinal Answer: [2, 9, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 8 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 8 = 128 worker-days. New time = 128 / 3 = 42.6667 days.\n</reasoning>\nFinal Answer: 42.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 8, 13] and B = [1, 12, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [28, 32, 36, 40, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 28 and common difference 4. Next term = 44 + 4 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 50, 12 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (50+12) × 46 = 1426.0.\n</reasoning>\nFinal Answer: 1426.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 71 and width 52."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(71+52) = 2×123 = 246.\n</reasoning>\nFinal Answer: 246"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 20 = -280"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 20x = -300. Divide by 20: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -39 = 521"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 20x = 560. Divide by 20: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -35 - 462"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 462 from -35: -35 - 462 = -497.\n</reasoning>\nFinal Answer: -497"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 416 mod -279"
},
{
"role": "assistant",
"content": "<reasoning>\n416 mod -279: 416 = -279 × -2 + -142, so remainder = -142.\n</reasoning>\nFinal Answer: -142"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 200 km/h. How far does it travel in 10 hours and 12 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 12/60 = 10.2000 hours. Distance = speed × time = 200 × 10.2000 = 2040.0 km.\n</reasoning>\nFinal Answer: 2040.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -19 = 381"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 8x = 400. Divide by 8: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/3 / 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/3) ÷ (5/3) = (6/3) × (3/5) = 6/5.\n</reasoning>\nFinal Answer: 6/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (14 + 29) * (8 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (14+29)=43, (8-2)=6, then 43×6=258.\n</reasoning>\nFinal Answer: 258"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 358 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 358 × (1 + 5/100) = 358 × 1.05 = 375.9.\n</reasoning>\nFinal Answer: 375.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (20 + 12) * (46 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (20+12)=32, (46-36)=10, then 32×10=320.\n</reasoning>\nFinal Answer: 320"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 35 = -1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 4x = -36. Divide by 4: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:6 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/6, so B = A × (6/1) = 86 × 6/1 = 516.0.\n</reasoning>\nFinal Answer: 516.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "242 is what percentage of 863?"
},
{
"role": "assistant",
"content": "<reasoning>\n(242/863) × 100 = 28.0417%.\n</reasoning>\nFinal Answer: 28.0417%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 127 km/h. How far does it travel in 1 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 44/60 = 1.7333 hours. Distance = speed × time = 127 × 1.7333 = 220.1333 km.\n</reasoning>\nFinal Answer: 220.1333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19508 at 3% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19508 × 3 × 10 / 100 = 5852.4.\n</reasoning>\nFinal Answer: 5852.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 12 and 5."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (12×5)/1 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Decrease 463 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 463 × (1 - 45/100) = 463 × 0.55 = 254.65.\n</reasoning>\nFinal Answer: 254.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:43 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/43, so B = A × (43/24) = 84 × 43/24 = 150.5.\n</reasoning>\nFinal Answer: 150.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:40 and A = 63, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/40, so B = A × (40/46) = 63 × 40/46 = 54.7826.\n</reasoning>\nFinal Answer: 54.7826"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [65, 64, 55, 12, 65, 6, 71, 59, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {65: 2, 64: 1, 55: 1, 12: 1, 6: 1, 71: 1, 59: 1, 35: 1}. Most frequent: 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 714 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 714 × (1 + 3/100) = 714 × 1.03 = 735.42.\n</reasoning>\nFinal Answer: 735.42"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 37 * 26 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×26=962, then 13+962-14=961.\n</reasoning>\nFinal Answer: 961"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 1/2 / 15/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/2) ÷ (15/1) = (1/2) × (1/15) = 1/30.\n</reasoning>\nFinal Answer: 1/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 10, 18, 19] and B = [1, 13, 14, 17, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [18, 19].\n</reasoning>\nFinal Answer: [18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -9 = 726"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 15x = 735. Divide by 15: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹123. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 123 × 18/100 = 22.14. Total = 123 + 22.14 = 145.14.\n</reasoning>\nFinal Answer: 145.14"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 116 ÷ -155"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 116 by -155. 116 ÷ -155 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -729 mod 516"
},
{
"role": "assistant",
"content": "<reasoning>\n-729 mod 516: -729 = 516 × -2 + 303, so remainder = 303.\n</reasoning>\nFinal Answer: 303"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 23 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 50+529-46=533.\n</reasoning>\nFinal Answer: 533"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:38 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/38, so B = A × (38/34) = 78 × 38/34 = 87.1765.\n</reasoning>\nFinal Answer: 87.1765"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 17 = -34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 3x = -51. Divide by 3: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 59 and width 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 59 × 34 = 2006.\n</reasoning>\nFinal Answer: 2006"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 10 = -89"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 9x = -99. Divide by 9: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 20 + 12 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×20=620 and 12×18=216, then add: 836.\n</reasoning>\nFinal Answer: 836"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 53 and 165."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(53,165) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [4, 23, 42, 61, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 4 and common difference 19. Next term = 80 + 19 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:3 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/3, so B = A × (3/7) = 22 × 3/7 = 9.4286.\n</reasoning>\nFinal Answer: 9.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 191 and 55."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(191,55) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [7, 78, 48, 40, 100, 61, 59, 43, 80, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {7: 1, 78: 1, 48: 1, 40: 1, 100: 1, 61: 1, 59: 1, 43: 1, 80: 1, 37: 1}. Most frequent: [7, 78, 48, 40, 100, 61, 59, 43, 80, 37].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 37 = -909"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 22x = -946. Divide by 22: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/5 + 10/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/5 + 10/18. Common denominator = 45. Result = 169/45.\n</reasoning>\nFinal Answer: 169/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -29 = -425"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 18x = -396. Divide by 18: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [3, 66, 65, 87, 82, 13, 74, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 3 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 305 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 305 × (1 + 3/100) = 305 × 1.03 = 314.15.\n</reasoning>\nFinal Answer: 314.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [81, 37, 85, 91, 72, 53, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [37, 45, 53, 72, 81, 85, 91]. Middle value(s) → median = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹4508. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4508 × 18/100 = 811.44. Total = 4508 + 811.44 = 5319.44.\n</reasoning>\nFinal Answer: 5319.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 657 × 867"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 657 by 867: 657 × 867 = 569619.\n</reasoning>\nFinal Answer: 569619"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 21 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 21+441-12=450.\n</reasoning>\nFinal Answer: 450"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [71, 44, 7, 16, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {71: 1, 44: 1, 7: 1, 16: 1, 89: 1}. Most frequent: [71, 44, 7, 16, 89].\n</reasoning>\nFinal Answer: [71, 44, 7, 16, 89]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 86 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 86 × 6 = 516.\n</reasoning>\nFinal Answer: 516"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 37 = 1267"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 30x = 1230. Divide by 30: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 845 km apart. Their speeds are 54 km/h and 87 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+87=141 km/h. Time = 845/141 = 5.9929 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -744 - -868"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -868 from -744: -744 - -868 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 9, find the 46th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (46-1)×9 = 26 + 405 = 431.\n</reasoning>\nFinal Answer: 431"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [76, 97, 20, 8, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 8 = 89.\n</reasoning>\nFinal Answer: 89"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 28) * (8 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+28)=35, (8-34)=-26, then 35×-26=-910.\n</reasoning>\nFinal Answer: -910"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/11 / 10/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/11) ÷ (10/18) = (17/11) × (18/10) = 153/55.\n</reasoning>\nFinal Answer: 153/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36178 at 13% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36178 × 13 × 6 / 100 = 28218.84.\n</reasoning>\nFinal Answer: 28218.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 367."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 367 by smallest primes repeatedly: 367 = 367.\n</reasoning>\nFinal Answer: 367"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Increase 445 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 445 × (1 + 45/100) = 445 × 1.45 = 645.25.\n</reasoning>\nFinal Answer: 645.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:8 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/8, so B = A × (8/43) = 88 × 8/43 = 16.3721.\n</reasoning>\nFinal Answer: 16.3721"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 11) * (26 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+11)=53, (26-45)=-19, then 53×-19=-1007.\n</reasoning>\nFinal Answer: -1007"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 11 = -49"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 5x = -60. Divide by 5: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -699 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from -699: -699 - 6 = -705.\n</reasoning>\nFinal Answer: -705"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 23, 29, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 23 + 29 + 35 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 65 and width 68."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(65+68) = 2×133 = 266.\n</reasoning>\nFinal Answer: 266"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 6 ** 2 - 34"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 41+36-34=43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [80, 49, 15, 58, 79, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 290/6 = 48.3333.\n</reasoning>\nFinal Answer: 48.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -236 mod 242"
},
{
"role": "assistant",
"content": "<reasoning>\n-236 mod 242: -236 = 242 × -1 + 6, so remainder = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 368 ÷ -892"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 368 by -892. 368 ÷ -892 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 64 and width 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 64 × 78 = 4992.\n</reasoning>\nFinal Answer: 4992"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 46 = 676"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 14x = 630. Divide by 14: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 44 and width 16."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(44+16) = 2×60 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 15/1 + 9/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/1 + 9/2. Common denominator = 2. Result = 39/2.\n</reasoning>\nFinal Answer: 39/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 26 + -781"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 26 and -781: 26 + -781 = -755.\n</reasoning>\nFinal Answer: -755"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 81, 10, 49, 83, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 10, 12, 49, 81, 83]. Middle value(s) → median = 30.5.\n</reasoning>\nFinal Answer: 30.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 770 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 770 × (1 - 80/100) = 770 × 0.19999999999999996 = 154.0.\n</reasoning>\nFinal Answer: 154.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 59 mod 465"
},
{
"role": "assistant",
"content": "<reasoning>\n59 mod 465: 59 = 465 × 0 + 59, so remainder = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 20) * (27 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+20)=66, (27-38)=-11, then 66×-11=-726.\n</reasoning>\nFinal Answer: -726"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [23, 23, 33, 15, 11, 3, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {23: 2, 33: 1, 15: 1, 11: 1, 3: 1, 26: 1}. Most frequent: 23.\n</reasoning>\nFinal Answer: 23"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 18 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 18 × 34 = 306.0.\n</reasoning>\nFinal Answer: 306.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -1 = 1195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 26x = 1196. Divide by 26: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 29, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 29 + 30 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 466 ÷ -356"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 466 by -356. 466 ÷ -356 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 100% of 42?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 42 = (100/100) × 42 = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 88, 69, 47, 9, 4, 56, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 1, 88: 1, 69: 1, 47: 1, 9: 1, 4: 1, 56: 1, 96: 1}. Most frequent: [86, 88, 69, 47, 9, 4, 56, 96].\n</reasoning>\nFinal Answer: [86, 88, 69, 4... | easy | [
"statistics",
"mode"
] |
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