messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 34:33 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/33, so B = A × (33/34) = 31 × 33/34 = 30.0882.\n</reasoning>\nFinal Answer: 30.0882"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 41 = 59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 3x = 18. Divide by 3: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -663 × -330"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -663 by -330: -663 × -330 = 218790.\n</reasoning>\nFinal Answer: 218790"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 3% of 6?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 6 = (3/100) × 6 = 0.18.\n</reasoning>\nFinal Answer: 0.18"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 45 ** 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 29+2025-26=2028.\n</reasoning>\nFinal Answer: 2028"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "11 is what percentage of 13?"
},
{
"role": "assistant",
"content": "<reasoning>\n(11/13) × 100 = 84.6154%.\n</reasoning>\nFinal Answer: 84.6154%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 530 km apart. Their speeds are 114 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+63=177 km/h. Time = 530/177 = 2.9944 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -2 = 22"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 1x = 24. Divide by 1: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [27, 44, 61, 78, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 27 and common difference 17. Next term = 95 + 17 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 37 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+37) × 24 = 660.0.\n</reasoning>\nFinal Answer: 660.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -1 = -175"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 6x = -174. Divide by 6: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/18 - 14/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/18 - 14/16. LCD = 72. Result = -59/72.\n</reasoning>\nFinal Answer: -59/72"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:24 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/24, so B = A × (24/1) = 33 × 24/1 = 792.0.\n</reasoning>\nFinal Answer: 792.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 49 * 38 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×38=1862, then 5+1862-43=1824.\n</reasoning>\nFinal Answer: 1824"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 55 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 55 × 50 = 2750.\n</reasoning>\nFinal Answer: 2750"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (43 + 22) * (26 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (43+22)=65, (26-31)=-5, then 65×-5=-325.\n</reasoning>\nFinal Answer: -325"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:30 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/30, so B = A × (30/17) = 1 × 30/17 = 1.7647.\n</reasoning>\nFinal Answer: 1.7647"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 3/18 * 5/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/18) × (5/19) = (15/342) = 5/114 after simplification.\n</reasoning>\nFinal Answer: 5/114"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "40 is what percentage of 157?"
},
{
"role": "assistant",
"content": "<reasoning>\n(40/157) × 100 = 25.4777%.\n</reasoning>\nFinal Answer: 25.4777%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹4061. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4061 × 12/100 = 487.32. Total = 4061 + 487.32 = 4548.32.\n</reasoning>\nFinal Answer: 4548.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 2 = 86"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 2x = 84. Divide by 2: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/18 / 16/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/18) ÷ (16/12) = (16/18) × (12/16) = 2/3.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 914 + 970"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 914 and 970: 914 + 970 = 1884.\n</reasoning>\nFinal Answer: 1884"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [62, 87, 49, 22, 27, 15, 17, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 15 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -15 = 85"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 10x = 100. Divide by 10: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 16:39 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 16/39, so B = A × (39/16) = 80 × 39/16 = 195.0.\n</reasoning>\nFinal Answer: 195.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 14 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 14 × 63 = 882.\n</reasoning>\nFinal Answer: 882"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -862 mod -620"
},
{
"role": "assistant",
"content": "<reasoning>\n-862 mod -620: -862 = -620 × 1 + -242, so remainder = -242.\n</reasoning>\nFinal Answer: -242"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 54 × -676"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 54 by -676: 54 × -676 = -36504.\n</reasoning>\nFinal Answer: -36504"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 12 = 12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 26x = 0. Divide by 26: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 81 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 81 × 42 = 1701.0.\n</reasoning>\nFinal Answer: 1701.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [3, 14, 25, 36, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 3 and common difference 11. Next term = 47 + 11 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "789 is what percentage of 942?"
},
{
"role": "assistant",
"content": "<reasoning>\n(789/942) × 100 = 83.758%.\n</reasoning>\nFinal Answer: 83.758%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [70, 38, 81, 17, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 17 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 75% of 891?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 891 = (75/100) × 891 = 668.25.\n</reasoning>\nFinal Answer: 668.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 595 mod -594"
},
{
"role": "assistant",
"content": "<reasoning>\n595 mod -594: 595 = -594 × -2 + -593, so remainder = -593.\n</reasoning>\nFinal Answer: -593"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 123 km/h. How far does it travel in 2 hours and 6 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 6/60 = 2.1000 hours. Distance = speed × time = 123 × 2.1000 = 258.3 km.\n</reasoning>\nFinal Answer: 258.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹438. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 438 × 28/100 = 122.64. Total = 438 + 122.64 = 560.64.\n</reasoning>\nFinal Answer: 560.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -256 mod 56"
},
{
"role": "assistant",
"content": "<reasoning>\n-256 mod 56: -256 = 56 × -5 + 24, so remainder = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/2 - 1/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/2 - 1/6. LCD = 6. Result = 25/3.\n</reasoning>\nFinal Answer: 25/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 924 × 777"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 924 by 777: 924 × 777 = 717948.\n</reasoning>\nFinal Answer: 717948"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 97 km/h. How far does it travel in 12 hours and 59 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 59/60 = 12.9833 hours. Distance = speed × time = 97 × 12.9833 = 1259.3833 km.\n</reasoning>\nFinal Answer: 1259.3833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -424 mod 701"
},
{
"role": "assistant",
"content": "<reasoning>\n-424 mod 701: -424 = 701 × -1 + 277, so remainder = 277.\n</reasoning>\nFinal Answer: 277"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 222 km apart. Their speeds are 94 km/h and 40 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 94+40=134 km/h. Time = 222/134 = 1.6567 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 44 = 128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 2x = 84. Divide by 2: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 18 + 39 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×18=252 and 39×34=1326, then add: 1578.\n</reasoning>\nFinal Answer: 1578"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 76 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 76 × 35 = 1330.0.\n</reasoning>\nFinal Answer: 1330.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [2, 100, 62, 76, 88, 20, 37, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 2 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 - 18/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/4 - 18/12. LCD = 4. Result = 7/4.\n</reasoning>\nFinal Answer: 7/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [100, 50, 10, 98, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 50, 72, 98, 100]. Middle value(s) → median = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 20/18 - 20/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 20/18 - 20/7. LCD = 63. Result = -110/63.\n</reasoning>\nFinal Answer: -110/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 36 = 776"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 20x = 740. Divide by 20: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 47 = 7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 4x = -40. Divide by 4: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 584 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 584 × (1 - 65/100) = 584 × 0.35 = 204.4.\n</reasoning>\nFinal Answer: 204.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -29 = 155"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 8x = 184. Divide by 8: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -15 = -1035"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 30x = -1020. Divide by 30: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -598 × -744"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -598 by -744: -598 × -744 = 444912.\n</reasoning>\nFinal Answer: 444912"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2378. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2378 × 5/100 = 118.9. Total = 2378 + 118.9 = 2496.9.\n</reasoning>\nFinal Answer: 2496.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [80, 17, 87, 13, 97]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 13 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 + 23 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 37+529-33=533.\n</reasoning>\nFinal Answer: 533"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 9, 12, 14] and B = [5, 7, 8, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [8].\n</reasoning>\nFinal Answer: [8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 6 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (6×36)/6 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:31 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/31, so B = A × (31/37) = 35 × 31/37 = 29.3243.\n</reasoning>\nFinal Answer: 29.3243"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [8, 9, 10] and B = [1, 3, 7, 9, 11, 14, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9].\n</reasoning>\nFinal Answer: [9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:9 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/9, so B = A × (9/40) = 11 × 9/40 = 2.475.\n</reasoning>\nFinal Answer: 2.475"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹394. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 394 × 28/100 = 110.32. Total = 394 + 110.32 = 504.32.\n</reasoning>\nFinal Answer: 504.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 83 and 137."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(83,137) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 10/7 * 9/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/7) × (9/10) = (90/70) = 9/7 after simplification.\n</reasoning>\nFinal Answer: 9/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -107 ÷ -151"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -107 by -151. -107 ÷ -151 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 11 = 106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 19x = 95. Divide by 19: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 27 * 21 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×21=567, then 12+567-30=549.\n</reasoning>\nFinal Answer: 549"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 52 and width 15."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(52+15) = 2×67 = 134.\n</reasoning>\nFinal Answer: 134"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 20, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (29-1)×20 = 40 + 560 = 600.\n</reasoning>\nFinal Answer: 600"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "An item costs ₹2074. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2074 × 5/100 = 103.7. Total = 2074 + 103.7 = 2177.7.\n</reasoning>\nFinal Answer: 2177.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:20 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/20, so B = A × (20/15) = 91 × 20/15 = 121.3333.\n</reasoning>\nFinal Answer: 121.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:21 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/21, so B = A × (21/6) = 2 × 21/6 = 7.0.\n</reasoning>\nFinal Answer: 7.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -332 ÷ 432"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -332 by 432. -332 ÷ 432 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "215 is what percentage of 707?"
},
{
"role": "assistant",
"content": "<reasoning>\n(215/707) × 100 = 30.4102%.\n</reasoning>\nFinal Answer: 30.4102%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 814 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 814 × (1 - 15/100) = 814 × 0.85 = 691.9.\n</reasoning>\nFinal Answer: 691.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 26 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 26 × (1 - 45/100) = 26 × 0.55 = 14.3.\n</reasoning>\nFinal Answer: 14.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 93 km/h. How far does it travel in 4 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 25/60 = 4.4167 hours. Distance = speed × time = 93 × 4.4167 = 410.75 km.\n</reasoning>\nFinal Answer: 410.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/3 * 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/3) × (6/14) = (48/42) = 8/7 after simplification.\n</reasoning>\nFinal Answer: 8/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -917 × 375"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -917 by 375: -917 × 375 = -343875.\n</reasoning>\nFinal Answer: -343875"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/9 / 10/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/9) ÷ (10/12) = (5/9) × (12/10) = 2/3.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 14 = 110"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 8x = 96. Divide by 8: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/20 - 8/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/20 - 8/19. LCD = 95. Result = 17/95.\n</reasoning>\nFinal Answer: 17/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "2 is what percentage of 36?"
},
{
"role": "assistant",
"content": "<reasoning>\n(2/36) × 100 = 5.5556%.\n</reasoning>\nFinal Answer: 5.5556%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 5/11 / 7/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/11) ÷ (7/6) = (5/11) × (6/7) = 30/77.\n</reasoning>\nFinal Answer: 30/77"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 43, 16 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (43+16) × 15 = 442.5.\n</reasoning>\nFinal Answer: 442.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A bag has 1 red and 10 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 10/11 = 0.9091.\n</reasoning>\nFinal Answer: 0.9091"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [2, 11, 20, 29, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 2 and common difference 9. Next term = 38 + 9 = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 22 = -13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 7x = -35. Divide by 7: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:26 and A = 48, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/26, so B = A × (26/36) = 48 × 26/36 = 34.6667.\n</reasoning>\nFinal Answer: 34.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "238 is what percentage of 260?"
},
{
"role": "assistant",
"content": "<reasoning>\n(238/260) × 100 = 91.5385%.\n</reasoning>\nFinal Answer: 91.5385%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:45 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/45, so B = A × (45/36) = 39 × 45/36 = 48.75.\n</reasoning>\nFinal Answer: 48.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 29 * 27 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×27=783, then 27+783-18=792.\n</reasoning>\nFinal Answer: 792"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 24 = -401"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 25x = -425. Divide by 25: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 17% of 86?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 86 = (17/100) × 86 = 14.62.\n</reasoning>\nFinal Answer: 14.62"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 677 mod -96"
},
{
"role": "assistant",
"content": "<reasoning>\n677 mod -96: 677 = -96 × -8 + -91, so remainder = -91.\n</reasoning>\nFinal Answer: -91"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 29, 31, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 29 + 31 + 40 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | easy | [
"geometry",
"perimeter"
] |
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