messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 13/8 - 2/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/8 - 2/14. LCD = 56. Result = 83/56.\n</reasoning>\nFinal Answer: 83/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 303 ÷ -68"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 303 by -68. 303 ÷ -68 = -5 (integer division).\n</reasoning>\nFinal Answer: -5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -11 = -128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 3x = -117. Divide by 3: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 10 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 10 = 110 worker-days. New time = 110 / 16 = 6.875 days.\n</reasoning>\nFinal Answer: 6.875"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 44 = -280"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 9x = -324. Divide by 9: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 18 and width 28."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(18+28) = 2×46 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -176 - 193"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 193 from -176: -176 - 193 = -369.\n</reasoning>\nFinal Answer: -369"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 384 + 620"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 384 and 620: 384 + 620 = 1004.\n</reasoning>\nFinal Answer: 1004"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [35, 87, 35, 88, 59, 44, 100, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {35: 2, 87: 1, 88: 1, 59: 1, 44: 1, 100: 1, 29: 1}. Most frequent: 35.\n</reasoning>\nFinal Answer: 35"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 9 * 26 - 36"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×26=234, then 39+234-36=237.\n</reasoning>\nFinal Answer: 237"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [39, 21, 86, 58, 26, 66, 97, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 422/8 = 52.75.\n</reasoning>\nFinal Answer: 52.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:30 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/30, so B = A × (30/6) = 100 × 30/6 = 500.0.\n</reasoning>\nFinal Answer: 500.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 12, 13, 15, 18] and B = [1, 3, 4, 6, 9, 14, 16, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [4].\n</reasoning>\nFinal Answer: [4]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 47 and common difference 19, find the 23th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 47 + (23-1)×19 = 47 + 418 = 465.\n</reasoning>\nFinal Answer: 465"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 90% of 914?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 914 = (90/100) × 914 = 822.6.\n</reasoning>\nFinal Answer: 822.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 754 km apart. Their speeds are 77 km/h and 75 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 77+75=152 km/h. Time = 754/152 = 4.9605 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [37, 41, 45, 49, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 37 and common difference 4. Next term = 53 + 4 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 19) * (30 - 15)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+19)=57, (30-15)=15, then 57×15=855.\n</reasoning>\nFinal Answer: 855"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 130 km/h. How far does it travel in 1 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 13/60 = 1.2167 hours. Distance = speed × time = 130 × 1.2167 = 158.1667 km.\n</reasoning>\nFinal Answer: 158.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 76 km/h. How far does it travel in 1 hours and 58 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 58/60 = 1.9667 hours. Distance = speed × time = 76 × 1.9667 = 149.4667 km.\n</reasoning>\nFinal Answer: 149.4667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 950 × -480"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 950 by -480: 950 × -480 = -456000.\n</reasoning>\nFinal Answer: -456000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 27) * (6 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+27)=54, (6-29)=-23, then 54×-23=-1242.\n</reasoning>\nFinal Answer: -1242"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹2623. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2623 × 5/100 = 131.15. Total = 2623 + 131.15 = 2754.15.\n</reasoning>\nFinal Answer: 2754.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 98 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 98 × 46 = 4508.\n</reasoning>\nFinal Answer: 4508"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [9, 24, 39, 54, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 9 and common difference 15. Next term = 69 + 15 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 86 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 86 × 21 = 903.0.\n</reasoning>\nFinal Answer: 903.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 48 = 248"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 25x = 200. Divide by 25: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 11, 12, 15, 16, 17, 18] and B = [2, 3, 4, 5], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 4, 5, 7, 8, 11, 12, 15, 16, 17, 18].\n</reasoning>\nFinal Answer: [2, 3, 4,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [76, 8, 14, 91, 31, 58, 6, 42, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 8, 14, 31, 32, 42, 58, 76, 91]. Middle value(s) → median = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [75, 84, 93, 3, 44, 44, 85, 75, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 44, 44, 57, 75, 75, 84, 85, 93]. Middle value(s) → median = 75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -994 × -15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -994 by -15: -994 × -15 = 14910.\n</reasoning>\nFinal Answer: 14910"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/13 * 1/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/13) × (1/5) = (20/65) = 4/13 after simplification.\n</reasoning>\nFinal Answer: 4/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/15 - 13/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/15 - 13/2. LCD = 10. Result = -59/10.\n</reasoning>\nFinal Answer: -59/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 546 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 546 × (1 + 25/100) = 546 × 1.25 = 682.5.\n</reasoning>\nFinal Answer: 682.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 15, 14, 58, 41, 43, 79, 79, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 14, 15, 23, 41, 43, 58, 79, 79]. Middle value(s) → median = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -689 + 53"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -689 and 53: -689 + 53 = -636.\n</reasoning>\nFinal Answer: -636"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 85 and width 79."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(85+79) = 2×164 = 328.\n</reasoning>\nFinal Answer: 328"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 19, 24, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 19 + 24 + 35 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 650 mod 778"
},
{
"role": "assistant",
"content": "<reasoning>\n650 mod 778: 650 = 778 × 0 + 650, so remainder = 650.\n</reasoning>\nFinal Answer: 650"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -49 = -1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 1x = 48. Divide by 1: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 1 = 481"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 30x = 480. Divide by 30: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -407 ÷ -407"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -407 by -407. -407 ÷ -407 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 147 apples and buys 170 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 147 + 170 = 317.\n</reasoning>\nFinal Answer: 317"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 48 * 22 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×22=1056, then 15+1056-5=1066.\n</reasoning>\nFinal Answer: 1066"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -535 + 866"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -535 and 866: -535 + 866 = 331.\n</reasoning>\nFinal Answer: 331"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 48 = 243"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 13x = 195. Divide by 13: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -40 = 47"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 29x = 87. Divide by 29: x = 3.\n</reasoning>\nFinal Answer: 3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 971 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 971 × (1 - 25/100) = 971 × 0.75 = 728.25.\n</reasoning>\nFinal Answer: 728.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 146 and 172."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(146,172) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 18/11 * 14/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/11) × (14/19) = (252/209) = 252/209 after simplification.\n</reasoning>\nFinal Answer: 252/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 15] and B = [2, 3, 7, 8, 9, 14, 16, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [15].\n</reasoning>\nFinal Answer: [15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 10 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 10 = 120 worker-days. New time = 120 / 2 = 60.0 days.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -366 × -512"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -366 by -512: -366 × -512 = 187392.\n</reasoning>\nFinal Answer: 187392"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 129 ÷ 218"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 129 by 218. 129 ÷ 218 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 2, 97, 11, 43, 82, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 11, 38, 43, 65, 82, 97]. Middle value(s) → median = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -415 - 132"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 132 from -415: -415 - 132 = -547.\n</reasoning>\nFinal Answer: -547"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [37, 22, 57, 44, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 22 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 40 = 1165"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 25x = 1125. Divide by 25: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/20 * 8/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/20) × (8/18) = (16/360) = 2/45 after simplification.\n</reasoning>\nFinal Answer: 2/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [29, 52, 56, 27, 17]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 56 - 17 = 39.\n</reasoning>\nFinal Answer: 39"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [12, 38, 69, 42, 6, 77, 28, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {12: 1, 38: 1, 69: 1, 42: 1, 6: 1, 77: 1, 28: 1, 39: 1}. Most frequent: [12, 38, 69, 42, 6, 77, 28, 39].\n</reasoning>\nFinal Answer: [12, 38, 69... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 1/20 + 12/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/20 + 12/15. Common denominator = 20. Result = 17/20.\n</reasoning>\nFinal Answer: 17/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/1 * 4/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/1) × (4/7) = (8/7) = 8/7 after simplification.\n</reasoning>\nFinal Answer: 8/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 8 and width 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 8 × 27 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:13 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/13, so B = A × (13/38) = 59 × 13/38 = 20.1842.\n</reasoning>\nFinal Answer: 20.1842"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 33 * 22 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×22=726, then 41+726-27=740.\n</reasoning>\nFinal Answer: 740"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -8 = -593"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 13x = -585. Divide by 13: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 415 mod 837"
},
{
"role": "assistant",
"content": "<reasoning>\n415 mod 837: 415 = 837 × 0 + 415, so remainder = 415.\n</reasoning>\nFinal Answer: 415"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "432 is what percentage of 644?"
},
{
"role": "assistant",
"content": "<reasoning>\n(432/644) × 100 = 67.0807%.\n</reasoning>\nFinal Answer: 67.0807%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A bag has 5 red and 8 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 8/13 = 0.6154.\n</reasoning>\nFinal Answer: 0.6154"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (46 + 30) * (24 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (46+30)=76, (24-42)=-18, then 76×-18=-1368.\n</reasoning>\nFinal Answer: -1368"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -21 = 1175"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 26x = 1196. Divide by 26: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 28 * 4 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×4=112, then 41+112-31=122.\n</reasoning>\nFinal Answer: 122"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -49 = -55"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 6x = -6. Divide by 6: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 903 - -565"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -565 from 903: 903 - -565 = 1468.\n</reasoning>\nFinal Answer: 1468"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -758 mod 1"
},
{
"role": "assistant",
"content": "<reasoning>\n-758 mod 1: -758 = 1 × -758 + 0, so remainder = 0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 43, 18 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (43+18) × 27 = 823.5.\n</reasoning>\nFinal Answer: 823.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:30 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/30, so B = A × (30/31) = 27 × 30/31 = 26.129.\n</reasoning>\nFinal Answer: 26.129"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:10 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/10, so B = A × (10/49) = 99 × 10/49 = 20.2041.\n</reasoning>\nFinal Answer: 20.2041"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 10, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (34-1)×10 = 10 + 330 = 340.\n</reasoning>\nFinal Answer: 340"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 16 and width 82."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(16+82) = 2×98 = 196.\n</reasoning>\nFinal Answer: 196"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 39 = -361"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 10x = -400. Divide by 10: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 40 and width 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 40 × 29 = 1160.\n</reasoning>\nFinal Answer: 1160"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [74, 89, 2, 86, 74, 86, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {74: 2, 89: 1, 2: 1, 86: 2, 55: 1}. Most frequent: [74, 86].\n</reasoning>\nFinal Answer: [74, 86]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [4, 16, 18] and B = [1, 4, 5, 6, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 5, 6, 17, 18].\n</reasoning>\nFinal Answer: [1, 5, 6, 17,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 121 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(121,18) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 18, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (45-1)×18 = 22 + 792 = 814.\n</reasoning>\nFinal Answer: 814"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 64 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 64 × 88 = 5632.\n</reasoning>\nFinal Answer: 5632"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 20, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (21-1)×20 = 24 + 400 = 424.\n</reasoning>\nFinal Answer: 424"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [73, 73, 20, 85, 79, 86, 26, 51, 53, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 640/10 = 64.0.\n</reasoning>\nFinal Answer: 64.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 856 × 55"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 856 by 55: 856 × 55 = 47080.\n</reasoning>\nFinal Answer: 47080"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 189 km/h. How far does it travel in 10 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 15/60 = 10.2500 hours. Distance = speed × time = 189 × 10.2500 = 1937.25 km.\n</reasoning>\nFinal Answer: 1937.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 47 = 29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 9x = -18. Divide by 9: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "90 is what percentage of 218?"
},
{
"role": "assistant",
"content": "<reasoning>\n(90/218) × 100 = 41.2844%.\n</reasoning>\nFinal Answer: 41.2844%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find log base 2 of 4."
},
{
"role": "assistant",
"content": "<reasoning>\nlog_2(4) = 2 because 2^2 = 4.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"logarithms"
] |
[
{
"role": "user",
"content": "Simplify: 12/14 - 13/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/14 - 13/9. LCD = 63. Result = -37/63.\n</reasoning>\nFinal Answer: -37/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [46, 42, 57, 45, 12, 68, 95, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 378/8 = 47.25.\n</reasoning>\nFinal Answer: 47.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 149 apples and buys 126 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 149 + 126 = 275.\n</reasoning>\nFinal Answer: 275"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 680 km apart. Their speeds are 56 km/h and 98 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 56+98=154 km/h. Time = 680/154 = 4.4156 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "11 workers can complete a job in 14 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 11 × 14 = 154 worker-days. New time = 154 / 20 = 7.7 days.\n</reasoning>\nFinal Answer: 7.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
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