messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 22 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 46+484-9=521.\n</reasoning>\nFinal Answer: 521"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [63, 73, 34, 24, 41, 28, 42, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [24, 28, 34, 41, 42, 61, 63, 73]. Middle value(s) → median = 41.5.\n</reasoning>\nFinal Answer: 41.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 2, 39, 40, 100, 83, 21, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 12, 21, 29, 39, 40, 83, 100]. Middle value(s) → median = 34.0.\n</reasoning>\nFinal Answer: 34.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [3, 8, 9, 15, 18] and B = [2, 3, 5, 6, 7, 11, 12, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3].\n</reasoning>\nFinal Answer: [3]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 36 and common difference 1, find the 28th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 36 + (28-1)×1 = 36 + 27 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:4 and A = 73, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/4, so B = A × (4/49) = 73 × 4/49 = 5.9592.\n</reasoning>\nFinal Answer: 5.9592"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 73 km/h. How far does it travel in 2 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 7/60 = 2.1167 hours. Distance = speed × time = 73 × 2.1167 = 154.5167 km.\n</reasoning>\nFinal Answer: 154.5167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [58, 32, 47, 50, 51, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [32, 36, 47, 50, 51, 58]. Middle value(s) → median = 48.5.\n</reasoning>\nFinal Answer: 48.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 1/16 * 19/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/16) × (19/7) = (19/112) = 19/112 after simplification.\n</reasoning>\nFinal Answer: 19/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -482 - -128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -128 from -482: -482 - -128 = -354.\n</reasoning>\nFinal Answer: -354"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -561 mod -305"
},
{
"role": "assistant",
"content": "<reasoning>\n-561 mod -305: -561 = -305 × 1 + -256, so remainder = -256.\n</reasoning>\nFinal Answer: -256"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 14, 15, 16, 17] and B = [5, 7, 11, 12, 13, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [17].\n</reasoning>\nFinal Answer: [17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 30 and 98."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(30,98) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "An item costs ₹988. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 988 × 28/100 = 276.64. Total = 988 + 276.64 = 1264.64.\n</reasoning>\nFinal Answer: 1264.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 906 × 882"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 906 by 882: 906 × 882 = 799092.\n</reasoning>\nFinal Answer: 799092"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 103 × -955"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 103 by -955: 103 × -955 = -98365.\n</reasoning>\nFinal Answer: -98365"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -17 = 78"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 5x = 95. Divide by 5: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/15 - 15/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/15 - 15/14. LCD = 210. Result = -71/210.\n</reasoning>\nFinal Answer: -71/210"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 3 = 111"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 3x = 108. Divide by 3: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 48 = -375"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 9x = -423. Divide by 9: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 35, 18 and height 34."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (35+18) × 34 = 901.0.\n</reasoning>\nFinal Answer: 901.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [90, 19, 71, 51, 32, 77, 88, 72, 79, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 90 - 15 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 48) * (3 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+48)=51, (3-6)=-3, then 51×-3=-153.\n</reasoning>\nFinal Answer: -153"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 9 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 9 = 27 worker-days. New time = 27 / 19 = 1.4211 days.\n</reasoning>\nFinal Answer: 1.4211"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 2/10 / 4/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/10) ÷ (4/6) = (2/10) × (6/4) = 3/10.\n</reasoning>\nFinal Answer: 3/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -269 mod 587"
},
{
"role": "assistant",
"content": "<reasoning>\n-269 mod 587: -269 = 587 × -1 + 318, so remainder = 318.\n</reasoning>\nFinal Answer: 318"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -51 mod -564"
},
{
"role": "assistant",
"content": "<reasoning>\n-51 mod -564: -51 = -564 × 0 + -51, so remainder = -51.\n</reasoning>\nFinal Answer: -51"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 120 km/h. How far does it travel in 4 hours and 12 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 12/60 = 4.2000 hours. Distance = speed × time = 120 × 4.2000 = 504.0 km.\n</reasoning>\nFinal Answer: 504.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 13, 16, 19] and B = [1, 7, 12], 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": "Calculate: -189 ÷ 508"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -189 by 508. -189 ÷ 508 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 472 ÷ -57"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 472 by -57. 472 ÷ -57 = -9 (integer division).\n</reasoning>\nFinal Answer: -9"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -947 mod 540"
},
{
"role": "assistant",
"content": "<reasoning>\n-947 mod 540: -947 = 540 × -2 + 133, so remainder = 133.\n</reasoning>\nFinal Answer: 133"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 10, and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 10 + 11 = 29.\n</reasoning>\nFinal Answer: 29"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -565 mod 922"
},
{
"role": "assistant",
"content": "<reasoning>\n-565 mod 922: -565 = 922 × -1 + 357, so remainder = 357.\n</reasoning>\nFinal Answer: 357"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:23 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/23, so B = A × (23/24) = 93 × 23/24 = 89.125.\n</reasoning>\nFinal Answer: 89.125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 797 mod 904"
},
{
"role": "assistant",
"content": "<reasoning>\n797 mod 904: 797 = 904 × 0 + 797, so remainder = 797.\n</reasoning>\nFinal Answer: 797"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [92, 50, 67, 17, 55, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 50, 55, 56, 67, 92]. Middle value(s) → median = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 78 and height 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 78 × 56 = 4368.\n</reasoning>\nFinal Answer: 4368"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -149 + 687"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -149 and 687: -149 + 687 = 538.\n</reasoning>\nFinal Answer: 538"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 43 + 699"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 43 and 699: 43 + 699 = 742.\n</reasoning>\nFinal Answer: 742"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 5, 6, 7, 14, 15] and B = [2, 4, 14, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4, 14].\n</reasoning>\nFinal Answer: [4, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 749 km apart. Their speeds are 73 km/h and 88 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 73+88=161 km/h. Time = 749/161 = 4.6522 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -21 = 33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 9x = 54. Divide by 9: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -581 × 538"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -581 by 538: -581 × 538 = -312578.\n</reasoning>\nFinal Answer: -312578"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -168 - 51"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 51 from -168: -168 - 51 = -219.\n</reasoning>\nFinal Answer: -219"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:35 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/35, so B = A × (35/34) = 85 × 35/34 = 87.5.\n</reasoning>\nFinal Answer: 87.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/7 + 2/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/7 + 2/16. Common denominator = 56. Result = 127/56.\n</reasoning>\nFinal Answer: 127/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 5 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+5) × 36 = 540.0.\n</reasoning>\nFinal Answer: 540.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 15 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (15×24)/3 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 28 * 50 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×50=1400, then 33+1400-47=1386.\n</reasoning>\nFinal Answer: 1386"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 11 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 11 = 66 worker-days. New time = 66 / 12 = 5.5 days.\n</reasoning>\nFinal Answer: 5.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 19 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 21+361-4=378.\n</reasoning>\nFinal Answer: 378"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 77 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 77 × 25 = 1925.\n</reasoning>\nFinal Answer: 1925"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 20, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (41-1)×20 = 33 + 800 = 833.\n</reasoning>\nFinal Answer: 833"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 4/8 + 17/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/8 + 17/7. Common denominator = 14. Result = 41/14.\n</reasoning>\nFinal Answer: 41/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 9 = 295"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 11x = 286. Divide by 11: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 623 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 623 × (1 - 15/100) = 623 × 0.85 = 529.55.\n</reasoning>\nFinal Answer: 529.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 17 ÷ 858"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 17 by 858. 17 ÷ 858 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 7 + -13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 7 and -13: 7 + -13 = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 552 - -892"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -892 from 552: 552 - -892 = 1444.\n</reasoning>\nFinal Answer: 1444"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -228 ÷ 847"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -228 by 847. -228 ÷ 847 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -725 mod -280"
},
{
"role": "assistant",
"content": "<reasoning>\n-725 mod -280: -725 = -280 × 2 + -165, so remainder = -165.\n</reasoning>\nFinal Answer: -165"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 27 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 27 = 513 worker-days. New time = 513 / 16 = 32.0625 days.\n</reasoning>\nFinal Answer: 32.0625"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32691 at 15% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32691 × 15 × 6 / 100 = 29421.9.\n</reasoning>\nFinal Answer: 29421.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:7 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/7, so B = A × (7/40) = 2 × 7/40 = 0.35.\n</reasoning>\nFinal Answer: 0.35"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹2013. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2013 × 5/100 = 100.65. Total = 2013 + 100.65 = 2113.65.\n</reasoning>\nFinal Answer: 2113.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -44 = -528"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 11x = -484. Divide by 11: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/5 / 13/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/5) ÷ (13/19) = (10/5) × (19/13) = 38/13.\n</reasoning>\nFinal Answer: 38/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [11, 26, 34, 47, 53, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 199/6 = 33.1667.\n</reasoning>\nFinal Answer: 33.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 90% of 870?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 870 = (90/100) × 870 = 783.0.\n</reasoning>\nFinal Answer: 783.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -10 = -307"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 27x = -297. Divide by 27: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 19 and width 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 19 × 90 = 1710.\n</reasoning>\nFinal Answer: 1710"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 3 * 18 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×18=54, then 50+54-12=92.\n</reasoning>\nFinal Answer: 92"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [5, 14, 16, 18] and B = [1, 3, 5, 6, 7, 8, 13, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [14, 16, 18].\n</reasoning>\nFinal Answer: [14, 16, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "What is 60% of 312?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 312 = (60/100) × 312 = 187.2.\n</reasoning>\nFinal Answer: 187.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 142 apples and buys 193 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 142 + 193 = 335.\n</reasoning>\nFinal Answer: 335"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -6 = -567"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 17x = -561. Divide by 17: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [21, 64, 21, 41, 62, 81, 19, 11, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {21: 2, 64: 1, 41: 1, 62: 1, 81: 1, 19: 1, 11: 1, 76: 1}. Most frequent: 21.\n</reasoning>\nFinal Answer: 21"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [78, 55, 29, 68, 21, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {78: 1, 55: 1, 29: 1, 68: 1, 21: 1, 91: 1}. Most frequent: [78, 55, 29, 68, 21, 91].\n</reasoning>\nFinal Answer: [78, 55, 29, 68, 21, 91]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 6/13 / 6/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/13) ÷ (6/12) = (6/13) × (12/6) = 12/13.\n</reasoning>\nFinal Answer: 12/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -11 = 45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 28x = 56. Divide by 28: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -28 = -156"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 8x = -128. Divide by 8: x = -16.\n</reasoning>\nFinal Answer: -16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -2 = 238"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 6x = 240. Divide by 6: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 20 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 20 × 32 = 640.\n</reasoning>\nFinal Answer: 640"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 50 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 50 × 38 = 950.0.\n</reasoning>\nFinal Answer: 950.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 951 km apart. Their speeds are 77 km/h and 49 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 77+49=126 km/h. Time = 951/126 = 7.5476 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 93 and width 17."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(93+17) = 2×110 = 220.\n</reasoning>\nFinal Answer: 220"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 5/20 - 20/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/20 - 20/10. LCD = 4. Result = -7/4.\n</reasoning>\nFinal Answer: -7/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/10 / 13/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/10) ÷ (13/13) = (19/10) × (13/13) = 19/10.\n</reasoning>\nFinal Answer: 19/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 40% of 246?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 246 = (40/100) × 246 = 98.4.\n</reasoning>\nFinal Answer: 98.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 49 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 49²=2401, then 25+2401-6=2420.\n</reasoning>\nFinal Answer: 2420"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 77 and 55."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(77,55) = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 463 ÷ -51"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 463 by -51. 463 ÷ -51 = -10 (integer division).\n</reasoning>\nFinal Answer: -10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -272 + 753"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -272 and 753: -272 + 753 = 481.\n</reasoning>\nFinal Answer: 481"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -203 - -181"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -181 from -203: -203 - -181 = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 108 apples and buys 61 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 108 + 61 = 169.\n</reasoning>\nFinal Answer: 169"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:29 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/29, so B = A × (29/21) = 2 × 29/21 = 2.7619.\n</reasoning>\nFinal Answer: 2.7619"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [99, 61, 86, 37, 46, 81, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {99: 1, 61: 1, 86: 1, 37: 1, 46: 1, 81: 1, 74: 1}. Most frequent: [99, 61, 86, 37, 46, 81, 74].\n</reasoning>\nFinal Answer: [99, 61, 86, 37, 46, 81... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 950 ÷ -563"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 950 by -563. 950 ÷ -563 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 60% of 604?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 604 = (60/100) × 604 = 362.4.\n</reasoning>\nFinal Answer: 362.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
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