messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Given A = [4, 6, 12, 13, 14, 16] and B = [8, 10, 14, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 6, 12, 13, 16].\n</reasoning>\nFinal Answer: [4, 6, 12, 13, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [57, 86, 90, 26, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 26 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 8 = 108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 20x = 100. Divide by 20: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 29 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 29 = 522 worker-days. New time = 522 / 9 = 58.0 days.\n</reasoning>\nFinal Answer: 58.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 151 km/h. How far does it travel in 9 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 21/60 = 9.3500 hours. Distance = speed × time = 151 × 9.3500 = 1411.85 km.\n</reasoning>\nFinal Answer: 1411.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -255 mod 812"
},
{
"role": "assistant",
"content": "<reasoning>\n-255 mod 812: -255 = 812 × -1 + 557, so remainder = 557.\n</reasoning>\nFinal Answer: 557"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 102 apples and buys 25 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 102 + 25 = 127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 160 km/h. How far does it travel in 2 hours and 23 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 23/60 = 2.3833 hours. Distance = speed × time = 160 × 2.3833 = 381.3333 km.\n</reasoning>\nFinal Answer: 381.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 152 and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(152,37) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 69 - -160"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -160 from 69: 69 - -160 = 229.\n</reasoning>\nFinal Answer: 229"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 7 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 7 = 140 worker-days. New time = 140 / 20 = 7.0 days.\n</reasoning>\nFinal Answer: 7.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:47 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/47, so B = A × (47/34) = 1 × 47/34 = 1.3824.\n</reasoning>\nFinal Answer: 1.3824"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 96 ÷ 394"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 96 by 394. 96 ÷ 394 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 39 * 16 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×16=624, then 28+624-29=623.\n</reasoning>\nFinal Answer: 623"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 130 km/h. How far does it travel in 4 hours and 46 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 46/60 = 4.7667 hours. Distance = speed × time = 130 × 4.7667 = 619.6667 km.\n</reasoning>\nFinal Answer: 619.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -41 = -341"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 12x = -300. Divide by 12: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 71 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 71 × 23 = 816.5.\n</reasoning>\nFinal Answer: 816.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 4, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (31-1)×4 = 40 + 120 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 6, 7, 17] and B = [9, 11, 12, 15, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 4, 6, 7, 9, 11, 12, 15, 17, 19].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 863 km apart. Their speeds are 109 km/h and 93 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 109+93=202 km/h. Time = 863/202 = 4.2723 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 8."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 8 = 32.\n</reasoning>\nFinal Answer: 32"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [93, 68, 12, 21, 58, 19, 20, 72, 39, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 19, 20, 21, 39, 58, 68, 72, 93, 96]. Middle value(s) → median = 48.5.\n</reasoning>\nFinal Answer: 48.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 48 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+48) × 45 = 1935.0.\n</reasoning>\nFinal Answer: 1935.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 17% of 29?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 29 = (17/100) × 29 = 4.93.\n</reasoning>\nFinal Answer: 4.93"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 7, 8, 12, 15, 16, 17] and B = [1, 5, 6], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 5, 6, 7, 8, 12, 15, 16, 17].\n</reasoning>\nFinal Answer: [1, 2, 3, 5, 6, 7, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:6 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/6, so B = A × (6/33) = 95 × 6/33 = 17.2727.\n</reasoning>\nFinal Answer: 17.2727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -33 = -1067"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 22x = -1034. Divide by 22: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 1 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(1+62) = 2×63 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 36, 81, 54, 3, 5, 83, 38, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 1 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 140 and 197."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(140,197) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32781 at 19% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32781 × 19 × 10 / 100 = 62283.9.\n</reasoning>\nFinal Answer: 62283.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 41 + 230"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 41 and 230: 41 + 230 = 271.\n</reasoning>\nFinal Answer: 271"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 338 km apart. Their speeds are 50 km/h and 106 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 50+106=156 km/h. Time = 338/156 = 2.1667 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [37, 15, 54, 24, 37, 23, 89, 2, 73, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {37: 2, 15: 1, 54: 1, 24: 1, 23: 1, 89: 1, 2: 1, 73: 1, 18: 1}. Most frequent: 37.\n</reasoning>\nFinal Answer: 37"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 9/7 / 18/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/7) ÷ (18/7) = (9/7) × (7/18) = 1/2.\n</reasoning>\nFinal Answer: 1/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 29 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 29 = 464 worker-days. New time = 464 / 2 = 232.0 days.\n</reasoning>\nFinal Answer: 232.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -46 = -634"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 14x = -588. Divide by 14: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 43 = 181"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 23x = 138. Divide by 23: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 43) * (15 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+43)=46, (15-7)=8, then 46×8=368.\n</reasoning>\nFinal Answer: 368"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 22) * (23 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+22)=31, (23-46)=-23, then 31×-23=-713.\n</reasoning>\nFinal Answer: -713"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [31, 59, 24, 57, 4, 25, 73, 92, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {31: 1, 59: 1, 24: 1, 57: 1, 4: 1, 25: 1, 73: 1, 92: 1, 13: 1}. Most frequent: [31, 59, 24, 57, 4, 25, 73, 92, 13].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 3 apples and buys 169 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 3 + 169 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -448 ÷ -58"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -448 by -58. -448 ÷ -58 = 7 (integer division).\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 649 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 649 × (1 - 7/100) = 649 × 0.9299999999999999 = 603.57.\n</reasoning>\nFinal Answer: 603.57"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/12 - 20/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/12 - 20/10. LCD = 12. Result = -11/12.\n</reasoning>\nFinal Answer: -11/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:10 and A = 54, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/10, so B = A × (10/29) = 54 × 10/29 = 18.6207.\n</reasoning>\nFinal Answer: 18.6207"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -313 × 622"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -313 by 622: -313 × 622 = -194686.\n</reasoning>\nFinal Answer: -194686"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 52 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 52 × 5 = 130.0.\n</reasoning>\nFinal Answer: 130.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 23 = -361"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 24x = -384. Divide by 24: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 25% of 146?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 146 = (25/100) × 146 = 36.5.\n</reasoning>\nFinal Answer: 36.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/19 - 6/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/19 - 6/6. LCD = 19. Result = -12/19.\n</reasoning>\nFinal Answer: -12/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:33 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/33, so B = A × (33/46) = 9 × 33/46 = 6.4565.\n</reasoning>\nFinal Answer: 6.4565"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 11, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (11-1)×11 = 17 + 110 = 127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 190 apples and buys 144 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 190 + 144 = 334.\n</reasoning>\nFinal Answer: 334"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/9 * 4/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/9) × (4/14) = (24/126) = 4/21 after simplification.\n</reasoning>\nFinal Answer: 4/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [42, 75, 9, 76, 82, 77, 13, 87, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {42: 1, 75: 1, 9: 1, 76: 1, 82: 1, 77: 1, 13: 1, 87: 2}. Most frequent: 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 17/9 - 8/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/9 - 8/6. LCD = 9. Result = 5/9.\n</reasoning>\nFinal Answer: 5/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 72 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(72,11) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 830 km apart. Their speeds are 43 km/h and 94 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 43+94=137 km/h. Time = 830/137 = 6.0584 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -634 + -898"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -634 and -898: -634 + -898 = -1532.\n</reasoning>\nFinal Answer: -1532"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [72, 49, 37, 65, 94, 11, 65, 79, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 19, 37, 49, 65, 65, 72, 79, 94]. Middle value(s) → median = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 18 and width 58."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 18 × 58 = 1044.\n</reasoning>\nFinal Answer: 1044"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [9, 13, 15, 18, 19] and B = [1, 7, 12, 13, 15, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [13, 15, 18].\n</reasoning>\nFinal Answer: [13, 15, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 3 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 23+9-42=-10.\n</reasoning>\nFinal Answer: -10"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 16, 17, 19] and B = [1, 4, 9, 10, 15, 16, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 19].\n</reasoning>\nFinal Answer: [2, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 41 + 7 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×41=1845 and 7×33=231, then add: 2076.\n</reasoning>\nFinal Answer: 2076"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [99, 44, 55, 15, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 15 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 2/16 / 10/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/16) ÷ (10/15) = (2/16) × (15/10) = 3/16.\n</reasoning>\nFinal Answer: 3/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 31 and height 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 31 × 64 = 992.0.\n</reasoning>\nFinal Answer: 992.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 16, 19] and B = [4, 5, 9, 11], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 4, 5, 9, 11, 16, 19].\n</reasoning>\nFinal Answer: [3, 4, 5, 9, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [3, 11, 17, 18] and B = [8, 11, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [11].\n</reasoning>\nFinal Answer: [11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -49 = 315"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 26x = 364. Divide by 26: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/7 + 6/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/7 + 6/18. Common denominator = 3. Result = 7/3.\n</reasoning>\nFinal Answer: 7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 35% of 210?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 210 = (35/100) × 210 = 73.5.\n</reasoning>\nFinal Answer: 73.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "97 is what percentage of 130?"
},
{
"role": "assistant",
"content": "<reasoning>\n(97/130) × 100 = 74.6154%.\n</reasoning>\nFinal Answer: 74.6154%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:3 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/3, so B = A × (3/40) = 14 × 3/40 = 1.05.\n</reasoning>\nFinal Answer: 1.05"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 35 = 567"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 28x = 532. Divide by 28: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 10% of 341?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 341 = (10/100) × 341 = 34.1.\n</reasoning>\nFinal Answer: 34.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -44 = -784"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 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: 24x + -48 = 312"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 24x = 360. Divide by 24: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 115 km/h. How far does it travel in 12 hours and 45 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 45/60 = 12.7500 hours. Distance = speed × time = 115 × 12.7500 = 1466.25 km.\n</reasoning>\nFinal Answer: 1466.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 92 km/h. How far does it travel in 12 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 25/60 = 12.4167 hours. Distance = speed × time = 92 × 12.4167 = 1142.3333 km.\n</reasoning>\nFinal Answer: 1142.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -47 = 81"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 16x = 128. Divide by 16: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 186 and 198."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(186,198) = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹1625. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1625 × 28/100 = 455.0. Total = 1625 + 455.0 = 2080.0.\n</reasoning>\nFinal Answer: 2080.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 19 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 28+361-23=366.\n</reasoning>\nFinal Answer: 366"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 48 and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (48×28)/4 = 336.\n</reasoning>\nFinal Answer: 336"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹41021 at 9% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 41021 × 9 × 4 / 100 = 14767.56.\n</reasoning>\nFinal Answer: 14767.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 633 km apart. Their speeds are 87 km/h and 92 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 87+92=179 km/h. Time = 633/179 = 3.5363 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:36 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/36, so B = A × (36/2) = 74 × 36/2 = 1332.0.\n</reasoning>\nFinal Answer: 1332.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (8)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 8² - 4×1×0 = 64. √discriminant = 8. x = (-(8) ± 8) / (2×1). Solutions: x = -8 or x = 0.\n</reasoning>\nFinal Answer: x = -8 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 15/20 * 16/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/20) × (16/5) = (240/100) = 12/5 after simplification.\n</reasoning>\nFinal Answer: 12/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 247."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 247 by smallest primes repeatedly: 247 = 13 × 19.\n</reasoning>\nFinal Answer: 13 × 19"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹26925 at 1% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 26925 × 1 × 9 / 100 = 2423.25.\n</reasoning>\nFinal Answer: 2423.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹14266 at 13% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 14266 × 13 × 7 / 100 = 12982.06.\n</reasoning>\nFinal Answer: 12982.06"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 46 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (46×20)/2 = 460.\n</reasoning>\nFinal Answer: 460"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 95, 72, 43, 75, 60, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 95: 1, 72: 1, 43: 1, 75: 1, 60: 1, 37: 1}. Most frequent: [18, 95, 72, 43, 75, 60, 37].\n</reasoning>\nFinal Answer: [18, 95, 72, 43, 75, 60... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 4/17 / 3/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/17) ÷ (3/12) = (4/17) × (12/3) = 16/17.\n</reasoning>\nFinal Answer: 16/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹37559 at 6% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 37559 × 6 × 7 / 100 = 15774.78.\n</reasoning>\nFinal Answer: 15774.78"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 35 = -665"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 25x = -700. Divide by 25: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
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