messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mean of: [86, 62, 64, 43, 85, 94, 30, 31, 44, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 577/10 = 57.7.\n</reasoning>\nFinal Answer: 57.7"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 893 × -795"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 893 by -795: 893 × -795 = -709935.\n</reasoning>\nFinal Answer: -709935"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2586. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2586 × 5/100 = 129.3. Total = 2586 + 129.3 = 2715.3.\n</reasoning>\nFinal Answer: 2715.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [73, 46, 46, 57, 89, 59, 7, 24, 59, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 529/10 = 52.9.\n</reasoning>\nFinal Answer: 52.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -13 = -624"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 13x = -611. Divide by 13: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 7, 10, 11, 16, 17] and B = [2, 11, 13, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 4, 7, 10, 16, 17].\n</reasoning>\nFinal Answer: [1, 4, 7, 10, 16, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 20/18 * 19/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/18) × (19/19) = (380/342) = 10/9 after simplification.\n</reasoning>\nFinal Answer: 10/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 42 = 18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 3x = -24. Divide by 3: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 30% of 227?"
},
{
"role": "assistant",
"content": "<reasoning>\n30% of 227 = (30/100) × 227 = 68.1.\n</reasoning>\nFinal Answer: 68.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [87, 63, 46, 97, 58, 60, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 46, 58, 60, 63, 87, 97]. Middle value(s) → median = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 47 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 47 × (1 + 10/100) = 47 × 1.1 = 51.7.\n</reasoning>\nFinal Answer: 51.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-18)x + (36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -18² - 4×2×36 = 36. √discriminant = 6. x = (-(-18) ± 6) / (2×2). Solutions: x = 3 or x = 6.\n</reasoning>\nFinal Answer: x = 3 or x = 6"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [4, 95, 94, 44, 20, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 20, 44, 70, 94, 95]. Middle value(s) → median = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 29) * (16 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+29)=35, (16-24)=-8, then 35×-8=-280.\n</reasoning>\nFinal Answer: -280"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 14/18 * 9/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/18) × (9/11) = (126/198) = 7/11 after simplification.\n</reasoning>\nFinal Answer: 7/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:33 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/33, so B = A × (33/28) = 19 × 33/28 = 22.3929.\n</reasoning>\nFinal Answer: 22.3929"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 44 + 46 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×44=616 and 46×43=1978, then add: 2594.\n</reasoning>\nFinal Answer: 2594"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 72 and width 70."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(72+70) = 2×142 = 284.\n</reasoning>\nFinal Answer: 284"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 31 = 451"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 10x = 420. Divide by 10: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A bag has 9 red and 1 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 9/10 = 0.9.\n</reasoning>\nFinal Answer: 0.9"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 16, 19] and B = [5, 7, 9, 11, 13, 14, 16, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 8].\n</reasoning>\nFinal Answer: [2, 8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 22, 36, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 22 + 36 + 40 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:22 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/22, so B = A × (22/12) = 52 × 22/12 = 95.3333.\n</reasoning>\nFinal Answer: 95.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -773 - 135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 135 from -773: -773 - 135 = -908.\n</reasoning>\nFinal Answer: -908"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 993 km apart. Their speeds are 54 km/h and 57 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+57=111 km/h. Time = 993/111 = 8.9459 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 95."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 95 by smallest primes repeatedly: 95 = 5 × 19.\n</reasoning>\nFinal Answer: 5 × 19"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 5 + 30 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×5=90 and 30×18=540, then add: 630.\n</reasoning>\nFinal Answer: 630"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 19, 26, and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 19 + 26 + 31 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 63 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 63 × 33 = 1039.5.\n</reasoning>\nFinal Answer: 1039.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 24 = 1128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 24x = 1104. Divide by 24: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -691 mod 151"
},
{
"role": "assistant",
"content": "<reasoning>\n-691 mod 151: -691 = 151 × -5 + 64, so remainder = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 24 * 2 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×2=48, then 30+48-26=52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [94, 44, 87, 52, 56, 37, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [37, 44, 52, 56, 87, 89, 94]. Middle value(s) → median = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -501 mod 508"
},
{
"role": "assistant",
"content": "<reasoning>\n-501 mod 508: -501 = 508 × -1 + 7, so remainder = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 7% of 10?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 10 = (7/100) × 10 = 0.7.\n</reasoning>\nFinal Answer: 0.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 847 + -809"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 847 and -809: 847 + -809 = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 16, find the 46th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (46-1)×16 = 10 + 720 = 730.\n</reasoning>\nFinal Answer: 730"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [57, 15, 64, 1, 41, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 265/6 = 44.1667.\n</reasoning>\nFinal Answer: 44.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 13 + 24 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×13=390 and 24×24=576, then add: 966.\n</reasoning>\nFinal Answer: 966"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -401 × -396"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -401 by -396: -401 × -396 = 158796.\n</reasoning>\nFinal Answer: 158796"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 32 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 1+1024-25=1000.\n</reasoning>\nFinal Answer: 1000"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 46 * 5 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×5=230, then 27+230-48=209.\n</reasoning>\nFinal Answer: 209"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [43, 27, 7, 1, 3, 7, 46, 26, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {43: 1, 27: 1, 7: 2, 1: 1, 3: 1, 46: 1, 26: 1, 36: 1}. Most frequent: 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 16 and width 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(16+32) = 2×48 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 45 and height 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 45 × 60 = 1350.0.\n</reasoning>\nFinal Answer: 1350.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 55 and 167."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(55,167) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [75, 30, 45, 8, 79, 73, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 30, 36, 45, 73, 75, 79]. Middle value(s) → median = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 + 11 * 24 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×24=264, then 45+264-43=266.\n</reasoning>\nFinal Answer: 266"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 376 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 35%: 376 × (1 - 35/100) = 376 × 0.65 = 244.4.\n</reasoning>\nFinal Answer: 244.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4653. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4653 × 12/100 = 558.36. Total = 4653 + 558.36 = 5211.36.\n</reasoning>\nFinal Answer: 5211.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 127 and 114."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(127,114) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Increase 546 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 546 × (1 + 5/100) = 546 × 1.05 = 573.3.\n</reasoning>\nFinal Answer: 573.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/17 - 8/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/17 - 8/15. LCD = 255. Result = -91/255.\n</reasoning>\nFinal Answer: -91/255"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 29, and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 29 + 31 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 17 = -199"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 6x = -216. Divide by 6: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 77 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 77 × 28 = 2156.\n</reasoning>\nFinal Answer: 2156"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:31 and A = 23, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/31, so B = A × (31/27) = 23 × 31/27 = 26.4074.\n</reasoning>\nFinal Answer: 26.4074"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 25 = 375"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 7x = 350. Divide by 7: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 199 apples and buys 163 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 199 + 163 = 362.\n</reasoning>\nFinal Answer: 362"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 21 * 23 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 21×23=483, then 35+483-29=489.\n</reasoning>\nFinal Answer: 489"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 29, 30, and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 29 + 30 + 32 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 60 mod 597"
},
{
"role": "assistant",
"content": "<reasoning>\n60 mod 597: 60 = 597 × 0 + 60, so remainder = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -563 × -368"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -563 by -368: -563 × -368 = 207184.\n</reasoning>\nFinal Answer: 207184"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 11 = 111"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 5x = 100. Divide by 5: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [54, 100, 41, 24, 51, 99, 75, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {54: 1, 100: 1, 41: 1, 24: 1, 51: 1, 99: 1, 75: 1, 89: 1}. Most frequent: [54, 100, 41, 24, 51, 99, 75, 89].\n</reasoning>\nFinal Answer: [54, ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 36 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 10+1296-27=1279.\n</reasoning>\nFinal Answer: 1279"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 36 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 36 × (1 - 17/100) = 36 × 0.83 = 29.88.\n</reasoning>\nFinal Answer: 29.88"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 2 + 14 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×2=32 and 14×43=602, then add: 634.\n</reasoning>\nFinal Answer: 634"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [13, 14, 15] and B = [2, 7, 9], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 7, 9, 13, 14, 15].\n</reasoning>\nFinal Answer: [2, 7, 9, 13, 14, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [33, 97, 60, 1, 99, 62, 84, 80, 81, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 33, 60, 62, 80, 81, 84, 92, 97, 99]. Middle value(s) → median = 80.5.\n</reasoning>\nFinal Answer: 80.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -13 mod -768"
},
{
"role": "assistant",
"content": "<reasoning>\n-13 mod -768: -13 = -768 × 0 + -13, so remainder = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 80 km/h. How far does it travel in 9 hours and 22 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 22/60 = 9.3667 hours. Distance = speed × time = 80 × 9.3667 = 749.3333 km.\n</reasoning>\nFinal Answer: 749.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 1."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 1 = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -563 mod 436"
},
{
"role": "assistant",
"content": "<reasoning>\n-563 mod 436: -563 = 436 × -2 + 309, so remainder = 309.\n</reasoning>\nFinal Answer: 309"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 18 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 18 = 252 worker-days. New time = 252 / 15 = 16.8 days.\n</reasoning>\nFinal Answer: 16.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 849 mod -494"
},
{
"role": "assistant",
"content": "<reasoning>\n849 mod -494: 849 = -494 × -2 + -139, so remainder = -139.\n</reasoning>\nFinal Answer: -139"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 97 apples and buys 156 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 97 + 156 = 253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 4 apples and buys 105 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 4 + 105 = 109.\n</reasoning>\nFinal Answer: 109"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 46 and common difference 17, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 46 + (26-1)×17 = 46 + 425 = 471.\n</reasoning>\nFinal Answer: 471"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 4 = 4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 28x = 0. Divide by 28: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:41 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/41, so B = A × (41/23) = 42 × 41/23 = 74.8696.\n</reasoning>\nFinal Answer: 74.8696"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "96 is what percentage of 350?"
},
{
"role": "assistant",
"content": "<reasoning>\n(96/350) × 100 = 27.4286%.\n</reasoning>\nFinal Answer: 27.4286%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 24 = -108"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 6x = -132. Divide by 6: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 748 ÷ -503"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 748 by -503. 748 ÷ -503 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [12, 2, 58, 66, 82, 92, 8, 85, 34, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 453/10 = 45.3.\n</reasoning>\nFinal Answer: 45.3"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 63 mod -13"
},
{
"role": "assistant",
"content": "<reasoning>\n63 mod -13: 63 = -13 × -5 + -2, so remainder = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:7 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/7, so B = A × (7/8) = 87 × 7/8 = 76.125.\n</reasoning>\nFinal Answer: 76.125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 33 ** 2 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 33²=1089, then 34+1089-23=1100.\n</reasoning>\nFinal Answer: 1100"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 13, 14, 15, 16, 18, 19] and B = [3, 9, 13, 16, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9, 13, 16, 18, 19].\n</reasoning>\nFinal Answer: [9, 13, 16,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 49 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+49) × 7 = 269.5.\n</reasoning>\nFinal Answer: 269.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [81, 24, 33, 70, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 24 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 748 - -881"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -881 from 748: 748 - -881 = 1629.\n</reasoning>\nFinal Answer: 1629"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 30 and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(30,15) = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mean of: [97, 69, 64, 43, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 363/5 = 72.6.\n</reasoning>\nFinal Answer: 72.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "An item costs ₹4056. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4056 × 12/100 = 486.72. Total = 4056 + 486.72 = 4542.72.\n</reasoning>\nFinal Answer: 4542.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 12, 13, 16, 18, 19] and B = [3, 14, 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": "Evaluate using order of operations: 21 * 23 + 8 * 7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 21×23=483 and 8×7=56, then add: 539.\n</reasoning>\nFinal Answer: 539"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 62 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 62 × 100 = 6200.\n</reasoning>\nFinal Answer: 6200"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [85, 97, 80, 8, 57, 18, 74, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {85: 1, 97: 1, 80: 1, 8: 1, 57: 1, 18: 1, 74: 1, 43: 1}. Most frequent: [85, 97, 80, 8, 57, 18, 74, 43].\n</reasoning>\nFinal Answer: [85, 97, 80... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [12, 28, 44, 60, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 12 and common difference 16. Next term = 76 + 16 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
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