messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 47) * (30 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+47)=74, (30-26)=4, then 74×4=296.\n</reasoning>\nFinal Answer: 296"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 14 = 914"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 20x = 900. Divide by 20: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 22 ** 2 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 17+484-37=464.\n</reasoning>\nFinal Answer: 464"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 15% of 826?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 826 = (15/100) × 826 = 123.9.\n</reasoning>\nFinal Answer: 123.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -371 - -401"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -401 from -371: -371 - -401 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 932 mod -995"
},
{
"role": "assistant",
"content": "<reasoning>\n932 mod -995: 932 = -995 × -1 + -63, so remainder = -63.\n</reasoning>\nFinal Answer: -63"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 25 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 25 = 125 worker-days. New time = 125 / 14 = 8.9286 days.\n</reasoning>\nFinal Answer: 8.9286"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 506 + -104"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 506 and -104: 506 + -104 = 402.\n</reasoning>\nFinal Answer: 402"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 49 km/h. How far does it travel in 7 hours and 1 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 1/60 = 7.0167 hours. Distance = speed × time = 49 × 7.0167 = 343.8167 km.\n</reasoning>\nFinal Answer: 343.8167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [7, 10, 16] and B = [6, 10, 11, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [6, 7, 10, 11, 16, 19].\n</reasoning>\nFinal Answer: [6, 7, 10, 11, 16, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [23, 50, 43, 95, 53, 88, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 396/7 = 56.5714.\n</reasoning>\nFinal Answer: 56.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-30)x + (-80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -30² - 4×5×-80 = 2500. √discriminant = 50. x = (-(-30) ± 50) / (2×5). Solutions: x = -2 or x = 8.\n</reasoning>\nFinal Answer: x = -2 or x = 8... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 + 20 * 46 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 20×46=920, then 48+920-20=948.\n</reasoning>\nFinal Answer: 948"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 170 apples and buys 109 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 170 + 109 = 279.\n</reasoning>\nFinal Answer: 279"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/6 + 11/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/6 + 11/3. Common denominator = 6. Result = 13/2.\n</reasoning>\nFinal Answer: 13/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 112 apples and buys 15 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 112 + 15 = 127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 7% of 541?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 541 = (7/100) × 541 = 37.87.\n</reasoning>\nFinal Answer: 37.87"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 491 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 491 × (1 + 70/100) = 491 × 1.7 = 834.7.\n</reasoning>\nFinal Answer: 834.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 44 = 205"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 7x = 161. Divide by 7: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -346 ÷ -34"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -346 by -34. -346 ÷ -34 = 10 (integer division).\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 11 and common difference 7, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 11 + (49-1)×7 = 11 + 336 = 347.\n</reasoning>\nFinal Answer: 347"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -48 × -77"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -48 by -77: -48 × -77 = 3696.\n</reasoning>\nFinal Answer: 3696"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [22, 53, 26, 7, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 124/5 = 24.8.\n</reasoning>\nFinal Answer: 24.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 7 * 30 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 7×30=210, then 18+210-42=186.\n</reasoning>\nFinal Answer: 186"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -47 = -7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 2x = 40. Divide by 2: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 10 = 135"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 5x = 125. Divide by 5: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 20, 29, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 20 + 29 + 35 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -47 = -2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 5x = 45. Divide by 5: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 170 km/h. How far does it travel in 12 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 50/60 = 12.8333 hours. Distance = speed × time = 170 × 12.8333 = 2181.6667 km.\n</reasoning>\nFinal Answer: 2181.6667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 20 = 384"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 13x = 364. Divide by 13: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/15 * 13/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/15) × (13/13) = (52/195) = 4/15 after simplification.\n</reasoning>\nFinal Answer: 4/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [3, 19, 35, 51, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 3 and common difference 16. Next term = 67 + 16 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -624 mod 309"
},
{
"role": "assistant",
"content": "<reasoning>\n-624 mod 309: -624 = 309 × -3 + 303, so remainder = 303.\n</reasoning>\nFinal Answer: 303"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 3 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 3²=9, then 40+9-9=40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 12) * (24 - 5)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+12)=40, (24-5)=19, then 40×19=760.\n</reasoning>\nFinal Answer: 760"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 10 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+10) × 25 = 550.0.\n</reasoning>\nFinal Answer: 550.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 159 + -749"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 159 and -749: 159 + -749 = -590.\n</reasoning>\nFinal Answer: -590"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -47 = 514"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 17x = 561. Divide by 17: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 80 - -834"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -834 from 80: 80 - -834 = 914.\n</reasoning>\nFinal Answer: 914"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/12 - 17/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/12 - 17/4. LCD = 4. Result = -3.\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -34 = 406"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 20x = 440. Divide by 20: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 18 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 18 = 90 worker-days. New time = 90 / 11 = 8.1818 days.\n</reasoning>\nFinal Answer: 8.1818"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -989 mod -270"
},
{
"role": "assistant",
"content": "<reasoning>\n-989 mod -270: -989 = -270 × 3 + -179, so remainder = -179.\n</reasoning>\nFinal Answer: -179"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [41, 85, 86, 92, 38, 69, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 467/7 = 66.7143.\n</reasoning>\nFinal Answer: 66.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 14, find the 34th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (34-1)×14 = 19 + 462 = 481.\n</reasoning>\nFinal Answer: 481"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 9 days. How many days will 2 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 9 = 135 worker-days. New time = 135 / 2 = 67.5 days.\n</reasoning>\nFinal Answer: 67.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [46, 68, 64, 2, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 235/5 = 47.0.\n</reasoning>\nFinal Answer: 47.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 50 = 302"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 12x = 252. Divide by 12: x = 21.\n</reasoning>\nFinal Answer: 21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 26 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 26 = 182 worker-days. New time = 182 / 5 = 36.4 days.\n</reasoning>\nFinal Answer: 36.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 644 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 644 × (1 - 3/100) = 644 × 0.97 = 624.68.\n</reasoning>\nFinal Answer: 624.68"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [4, 17, 18, 19] and B = [2, 7, 8, 10, 11, 12, 15, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 4, 7, 8, 10, 11, 12, 15, 17, 18].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 32, 14 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (32+14) × 10 = 230.0.\n</reasoning>\nFinal Answer: 230.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 * 26 + 39 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 30×26=780 and 39×46=1794, then add: 2574.\n</reasoning>\nFinal Answer: 2574"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 40 = -115"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 5x = -155. Divide by 5: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 51 km/h. How far does it travel in 10 hours and 52 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 52/60 = 10.8667 hours. Distance = speed × time = 51 × 10.8667 = 554.2 km.\n</reasoning>\nFinal Answer: 554.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/4 - 18/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/4 - 18/12. LCD = 4. Result = -5/4.\n</reasoning>\nFinal Answer: -5/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 10 and height 19."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+10) × 19 = 475.0.\n</reasoning>\nFinal Answer: 475.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -25 - -562"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -562 from -25: -25 - -562 = 537.\n</reasoning>\nFinal Answer: 537"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 24) * (2 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+24)=40, (2-48)=-46, then 40×-46=-1840.\n</reasoning>\nFinal Answer: -1840"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 82, 39, 64, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 226/5 = 45.2.\n</reasoning>\nFinal Answer: 45.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [2, 58, 18, 2, 92, 7, 57, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 2, 7, 18, 23, 57, 58, 92]. Middle value(s) → median = 20.5.\n</reasoning>\nFinal Answer: 20.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [71, 6, 45, 84, 98, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 6 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 462 × 115"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 462 by 115: 462 × 115 = 53130.\n</reasoning>\nFinal Answer: 53130"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 40 + 29 * 22"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×40=1280 and 29×22=638, then add: 1918.\n</reasoning>\nFinal Answer: 1918"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 92 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 92 × 99 = 9108.\n</reasoning>\nFinal Answer: 9108"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 192 km/h. How far does it travel in 8 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 17/60 = 8.2833 hours. Distance = speed × time = 192 × 8.2833 = 1590.4 km.\n</reasoning>\nFinal Answer: 1590.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 43 = 71"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 2x = 28. Divide by 2: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -475 ÷ 997"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -475 by 997. -475 ÷ 997 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -33 = -333"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 10x = -300. Divide by 10: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [76, 59, 13, 31, 94, 68, 47, 74, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 13 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:40 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/40, so B = A × (40/49) = 40 × 40/49 = 32.6531.\n</reasoning>\nFinal Answer: 32.6531"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 878 × -310"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 878 by -310: 878 × -310 = -272180.\n</reasoning>\nFinal Answer: -272180"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/18 * 17/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/18) × (17/7) = (340/126) = 170/63 after simplification.\n</reasoning>\nFinal Answer: 170/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -889 + -529"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -889 and -529: -889 + -529 = -1418.\n</reasoning>\nFinal Answer: -1418"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/5 + 17/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/5 + 17/10. Common denominator = 10. Result = 11/2.\n</reasoning>\nFinal Answer: 11/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 449 mod -994"
},
{
"role": "assistant",
"content": "<reasoning>\n449 mod -994: 449 = -994 × -1 + -545, so remainder = -545.\n</reasoning>\nFinal Answer: -545"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -540 - 726"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 726 from -540: -540 - 726 = -1266.\n</reasoning>\nFinal Answer: -1266"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 50 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (50×14)/2 = 350.\n</reasoning>\nFinal Answer: 350"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Ravi has 140 apples and buys 62 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 140 + 62 = 202.\n</reasoning>\nFinal Answer: 202"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44853 at 16% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44853 × 16 × 9 / 100 = 64588.32.\n</reasoning>\nFinal Answer: 64588.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:35 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/35, so B = A × (35/8) = 82 × 35/8 = 358.75.\n</reasoning>\nFinal Answer: 358.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [31, 51, 71, 91, 111]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 31 and common difference 20. Next term = 111 + 20 = 131.\n</reasoning>\nFinal Answer: 131"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 70 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 70 × 91 = 6370.\n</reasoning>\nFinal Answer: 6370"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 30 = -110"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 4x = -140. Divide by 4: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 135 and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(135,32) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:24 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/24, so B = A × (24/17) = 8 × 24/17 = 11.2941.\n</reasoning>\nFinal Answer: 11.2941"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 40 = -548"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 21x = -588. Divide by 21: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:10 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/10, so B = A × (10/44) = 41 × 10/44 = 9.3182.\n</reasoning>\nFinal Answer: 9.3182"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -42 = -224"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 7x = -182. Divide by 7: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 52 and height 75."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 52 × 75 = 3900.\n</reasoning>\nFinal Answer: 3900"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 600 - 830"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 830 from 600: 600 - 830 = -230.\n</reasoning>\nFinal Answer: -230"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 17 = 35"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 18x = 18. Divide by 18: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 66 and height 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 66 × 99 = 6534.\n</reasoning>\nFinal Answer: 6534"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 17 = -629"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 17x = -646. Divide by 17: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 712 ÷ 530"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 712 by 530. 712 ÷ 530 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:9 and A = 92, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/9, so B = A × (9/12) = 92 × 9/12 = 69.0.\n</reasoning>\nFinal Answer: 69.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 46 * 14 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×14=644, then 13+644-31=626.\n</reasoning>\nFinal Answer: 626"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 535 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 535 × (1 - 3/100) = 535 × 0.97 = 518.95.\n</reasoning>\nFinal Answer: 518.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [8, 34, 19, 7, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 8, 19, 34, 43]. Middle value(s) → median = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [58, 71, 92, 30, 81, 62, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {58: 1, 71: 1, 92: 1, 30: 1, 81: 1, 62: 1, 78: 1}. Most frequent: [58, 71, 92, 30, 81, 62, 78].\n</reasoning>\nFinal Answer: [58, 71, 92, 30, 81, 62... | easy | [
"statistics",
"mode"
] |
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