messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Two trains start towards each other from stations 211 km apart. Their speeds are 40 km/h and 44 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 40+44=84 km/h. Time = 211/84 = 2.5119 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 140 km/h. How far does it travel in 10 hours and 13 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 13/60 = 10.2167 hours. Distance = speed × time = 140 × 10.2167 = 1430.3333 km.\n</reasoning>\nFinal Answer: 1430.3333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 29 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 29 = 435 worker-days. New time = 435 / 13 = 33.4615 days.\n</reasoning>\nFinal Answer: 33.4615"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 14/17 * 6/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/17) × (6/15) = (84/255) = 28/85 after simplification.\n</reasoning>\nFinal Answer: 28/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 17 = 155"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 3x = 138. Divide by 3: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "39 is what percentage of 354?"
},
{
"role": "assistant",
"content": "<reasoning>\n(39/354) × 100 = 11.0169%.\n</reasoning>\nFinal Answer: 11.0169%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 3 = 513"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 17x = 510. Divide by 17: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -478 × -230"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -478 by -230: -478 × -230 = 109940.\n</reasoning>\nFinal Answer: 109940"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [67, 3, 8, 42, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 157/5 = 31.4.\n</reasoning>\nFinal Answer: 31.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -45 = -205"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 8x = -160. Divide by 8: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/5 / 14/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/5) ÷ (14/5) = (17/5) × (5/14) = 17/14.\n</reasoning>\nFinal Answer: 17/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 30 * 39 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×39=1170, then 5+1170-20=1155.\n</reasoning>\nFinal Answer: 1155"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 254 mod 119"
},
{
"role": "assistant",
"content": "<reasoning>\n254 mod 119: 254 = 119 × 2 + 16, so remainder = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 8 and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (8×16)/8 = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 65 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 65 × 20 = 1300.\n</reasoning>\nFinal Answer: 1300"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 20 + 37 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×20=680 and 37×4=148, then add: 828.\n</reasoning>\nFinal Answer: 828"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 738 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 738 × (1 - 75/100) = 738 × 0.25 = 184.5.\n</reasoning>\nFinal Answer: 184.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 8, 9, 11, 12, 13, 17, 18] and B = [6, 9, 10, 12, 13], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 6, 8, 10, 11, 17, 18].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 329 × -466"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 329 by -466: 329 × -466 = -153314.\n</reasoning>\nFinal Answer: -153314"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 138 + 872"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 138 and 872: 138 + 872 = 1010.\n</reasoning>\nFinal Answer: 1010"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 27 = -675"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 18x = -702. Divide by 18: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 128 km apart. Their speeds are 110 km/h and 113 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 110+113=223 km/h. Time = 128/223 = 0.574 hours.\n</reasoning>\nFinal Ans... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -523 ÷ -317"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -523 by -317. -523 ÷ -317 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 45 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (45×8)/1 = 360.\n</reasoning>\nFinal Answer: 360"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 1/16 - 5/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/16 - 5/7. LCD = 112. Result = -73/112.\n</reasoning>\nFinal Answer: -73/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 99 and width 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 99 × 90 = 8910.\n</reasoning>\nFinal Answer: 8910"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 742 + 923"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 742 and 923: 742 + 923 = 1665.\n</reasoning>\nFinal Answer: 1665"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 3 = 87"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 12x = 84. Divide by 12: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 34) * (12 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+34)=36, (12-25)=-13, then 36×-13=-468.\n</reasoning>\nFinal Answer: -468"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 49 and height 55."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 49 × 55 = 1347.5.\n</reasoning>\nFinal Answer: 1347.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 465 mod -476"
},
{
"role": "assistant",
"content": "<reasoning>\n465 mod -476: 465 = -476 × -1 + -11, so remainder = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 15% of 248?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 248 = (15/100) × 248 = 37.2.\n</reasoning>\nFinal Answer: 37.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -528 - 160"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 160 from -528: -528 - 160 = -688.\n</reasoning>\nFinal Answer: -688"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 154 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 154 × (1 + 100/100) = 154 × 2.0 = 308.0.\n</reasoning>\nFinal Answer: 308.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 92 apples and buys 82 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 92 + 82 = 174.\n</reasoning>\nFinal Answer: 174"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 28, and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 28 + 40 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -336 ÷ -936"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -336 by -936. -336 ÷ -936 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -795 mod 717"
},
{
"role": "assistant",
"content": "<reasoning>\n-795 mod 717: -795 = 717 × -2 + 639, so remainder = 639.\n</reasoning>\nFinal Answer: 639"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 155 km/h. How far does it travel in 3 hours and 38 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 38/60 = 3.6333 hours. Distance = speed × time = 155 × 3.6333 = 563.1667 km.\n</reasoning>\nFinal Answer: 563.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 40 and width 66."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(40+66) = 2×106 = 212.\n</reasoning>\nFinal Answer: 212"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -801 ÷ 772"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -801 by 772. -801 ÷ 772 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 45 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 45²=2025, then 22+2025-29=2018.\n</reasoning>\nFinal Answer: 2018"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 153 apples and buys 2 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 153 + 2 = 155.\n</reasoning>\nFinal Answer: 155"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 62 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 62 × 36 = 2232.\n</reasoning>\nFinal Answer: 2232"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 10, 11, 19] and B = [2, 10, 11, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 10, 11].\n</reasoning>\nFinal Answer: [2, 10, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 315 km apart. Their speeds are 118 km/h and 64 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 118+64=182 km/h. Time = 315/182 = 1.7308 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/2 * 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/2) × (8/1) = (120/2) = 60 after simplification.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 11, 12] and B = [5, 6, 7, 8, 9, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 5, 6, 7, 8, 9, 11, 12, 17].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [23, 57, 26, 27, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 23, 26, 27, 57]. Middle value(s) → median = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [9, 10, 12, 14, 17] and B = [12, 17, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [9, 10, 14, 18].\n</reasoning>\nFinal Answer: [9, 10, 14, 18]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "449 is what percentage of 998?"
},
{
"role": "assistant",
"content": "<reasoning>\n(449/998) × 100 = 44.99%.\n</reasoning>\nFinal Answer: 44.99%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 21 = 593"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 22x = 572. Divide by 22: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "21 is what percentage of 201?"
},
{
"role": "assistant",
"content": "<reasoning>\n(21/201) × 100 = 10.4478%.\n</reasoning>\nFinal Answer: 10.4478%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 150 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 150 × (1 - 10/100) = 150 × 0.9 = 135.0.\n</reasoning>\nFinal Answer: 135.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -527 ÷ 354"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -527 by 354. -527 ÷ 354 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/11 * 15/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/11) × (15/8) = (180/88) = 45/22 after simplification.\n</reasoning>\nFinal Answer: 45/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 157 km/h. How far does it travel in 5 hours and 42 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 42/60 = 5.7000 hours. Distance = speed × time = 157 × 5.7000 = 894.9 km.\n</reasoning>\nFinal Answer: 894.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 23 * 34 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×34=782, then 8+782-50=740.\n</reasoning>\nFinal Answer: 740"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 3, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (15-1)×3 = 49 + 42 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -495 + -739"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -495 and -739: -495 + -739 = -1234.\n</reasoning>\nFinal Answer: -1234"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [71, 91, 74, 4, 51, 56, 92, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 4 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 39 = -411"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 15x = -450. Divide by 15: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 607 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 607 × (1 + 75/100) = 607 × 1.75 = 1062.25.\n</reasoning>\nFinal Answer: 1062.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 22 = 256"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 13x = 234. Divide by 13: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:5 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/5, so B = A × (5/35) = 100 × 5/35 = 14.2857.\n</reasoning>\nFinal Answer: 14.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 20 and height 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+20) × 17 = 280.5.\n</reasoning>\nFinal Answer: 280.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 50 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (50×8)/2 = 200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 10/6 / 4/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/6) ÷ (4/15) = (10/6) × (15/4) = 25/4.\n</reasoning>\nFinal Answer: 25/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -28 = 196"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 7x = 224. Divide by 7: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 7 = -149"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 12x = -156. Divide by 12: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 282 × -17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 282 by -17: 282 × -17 = -4794.\n</reasoning>\nFinal Answer: -4794"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Is 29 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n29 has no divisors other than 1 and itself, so it is prime.\n</reasoning>\nFinal Answer: Yes"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 10 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 5+100-42=63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 68 apples and buys 23 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 68 + 23 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -28 = -49"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 7x = -21. Divide by 7: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/14 - 9/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/14 - 9/15. LCD = 35. Result = 24/35.\n</reasoning>\nFinal Answer: 24/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 92, 34, 12, 65, 64, 6, 8, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 8, 12, 34, 49, 64, 65, 65, 92]. Middle value(s) → median = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 100% of 835?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 835 = (100/100) × 835 = 835.0.\n</reasoning>\nFinal Answer: 835.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 18 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 18 = 72 worker-days. New time = 72 / 18 = 4.0 days.\n</reasoning>\nFinal Answer: 4.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:24 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/24, so B = A × (24/31) = 88 × 24/31 = 68.129.\n</reasoning>\nFinal Answer: 68.129"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹13209 at 17% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 13209 × 17 × 5 / 100 = 11227.65.\n</reasoning>\nFinal Answer: 11227.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 34 = -174"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 16x = -208. Divide by 16: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -546 ÷ -310"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -546 by -310. -546 ÷ -310 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/3 - 15/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/3 - 15/18. LCD = 6. Result = 17/6.\n</reasoning>\nFinal Answer: 17/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 32 and common difference 2, find the 13th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 32 + (13-1)×2 = 32 + 24 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 61 and width 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 61 × 19 = 1159.\n</reasoning>\nFinal Answer: 1159"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 49 = -591"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 16x = -640. Divide by 16: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹2736. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2736 × 18/100 = 492.48. Total = 2736 + 492.48 = 3228.48.\n</reasoning>\nFinal Answer: 3228.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [8, 9, 16, 19] and B = [1, 2, 4, 11, 14, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 8, 9, 11, 14, 16, 17, 19].\n</reasoning>\nFinal Answer: [1, 2, 4, 8, 9, 11,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 65 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 65 × 5 = 325.\n</reasoning>\nFinal Answer: 325"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 62 and width 3."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(62+3) = 2×65 = 130.\n</reasoning>\nFinal Answer: 130"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 625 - -922"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -922 from 625: 625 - -922 = 1547.\n</reasoning>\nFinal Answer: 1547"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/7 - 16/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/7 - 16/12. LCD = 21. Result = 29/21.\n</reasoning>\nFinal Answer: 29/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/19 / 12/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/19) ÷ (12/20) = (5/19) × (20/12) = 25/57.\n</reasoning>\nFinal Answer: 25/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -369 × -648"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -369 by -648: -369 × -648 = 239112.\n</reasoning>\nFinal Answer: 239112"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 232 - 755"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 755 from 232: 232 - 755 = -523.\n</reasoning>\nFinal Answer: -523"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 164 and 117."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(164,117) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 37 + 17 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×37=1591 and 17×46=782, then add: 2373.\n</reasoning>\nFinal Answer: 2373"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 49, 50 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (49+50) × 27 = 1336.5.\n</reasoning>\nFinal Answer: 1336.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹1190. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1190 × 5/100 = 59.5. Total = 1190 + 59.5 = 1249.5.\n</reasoning>\nFinal Answer: 1249.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
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