messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mode of: [23, 63, 93, 21, 3, 63, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {23: 1, 63: 2, 93: 1, 21: 1, 3: 1, 54: 1}. Most frequent: 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 16 = 140"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 4x = 124. Divide by 4: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 455 mod -458"
},
{
"role": "assistant",
"content": "<reasoning>\n455 mod -458: 455 = -458 × -1 + -3, so remainder = -3.\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [11, 51, 11, 26, 13, 99, 94, 13, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 416/9 = 46.2222.\n</reasoning>\nFinal Answer: 46.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -514 ÷ 554"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -514 by 554. -514 ÷ 554 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [22, 82, 74, 27, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 22 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [34, 91, 51, 81, 51, 30, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {34: 1, 91: 1, 51: 2, 81: 1, 30: 1, 83: 1}. Most frequent: 51.\n</reasoning>\nFinal Answer: 51"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 17 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (17×36)/1 = 612.\n</reasoning>\nFinal Answer: 612"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 29 and common difference 12, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 29 + (36-1)×12 = 29 + 420 = 449.\n</reasoning>\nFinal Answer: 449"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -795 ÷ -740"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -795 by -740. -795 ÷ -740 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 756 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 756 × (1 - 10/100) = 756 × 0.9 = 680.4.\n</reasoning>\nFinal Answer: 680.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 559 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 559 × (1 - 25/100) = 559 × 0.75 = 419.25.\n</reasoning>\nFinal Answer: 419.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 6, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (14-1)×6 = 37 + 78 = 115.\n</reasoning>\nFinal Answer: 115"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 106 apples and buys 49 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 106 + 49 = 155.\n</reasoning>\nFinal Answer: 155"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 7/17 * 13/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/17) × (13/14) = (91/238) = 13/34 after simplification.\n</reasoning>\nFinal Answer: 13/34"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:39 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/39, so B = A × (39/6) = 5 × 39/6 = 32.5.\n</reasoning>\nFinal Answer: 32.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 7/5 - 19/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/5 - 19/20. LCD = 20. Result = 9/20.\n</reasoning>\nFinal Answer: 9/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 65 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 65 × 10 = 325.0.\n</reasoning>\nFinal Answer: 325.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -41 + -794"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -41 and -794: -41 + -794 = -835.\n</reasoning>\nFinal Answer: -835"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 60 and height 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 60 × 8 = 480.\n</reasoning>\nFinal Answer: 480"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:26 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/26, so B = A × (26/3) = 96 × 26/3 = 832.0.\n</reasoning>\nFinal Answer: 832.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 16, find the 29th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (29-1)×16 = 19 + 448 = 467.\n</reasoning>\nFinal Answer: 467"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -800 × -779"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -800 by -779: -800 × -779 = 623200.\n</reasoning>\nFinal Answer: 623200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 153 apples and buys 23 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 153 + 23 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -902 ÷ -47"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -902 by -47. -902 ÷ -47 = 19 (integer division).\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 581 km apart. Their speeds are 104 km/h and 103 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 104+103=207 km/h. Time = 581/207 = 2.8068 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 - 5/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/14 - 5/3. LCD = 21. Result = -26/21.\n</reasoning>\nFinal Answer: -26/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 374 + -246"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 374 and -246: 374 + -246 = 128.\n</reasoning>\nFinal Answer: 128"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/14 + 1/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/14 + 1/15. Common denominator = 105. Result = 97/105.\n</reasoning>\nFinal Answer: 97/105"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 43."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×43)/1 = 387.\n</reasoning>\nFinal Answer: 387"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 1/14 / 14/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/14) ÷ (14/14) = (1/14) × (14/14) = 1/14.\n</reasoning>\nFinal Answer: 1/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 453 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 453 × (1 + 65/100) = 453 × 1.65 = 747.45.\n</reasoning>\nFinal Answer: 747.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 34 + 35 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×34=1462 and 35×17=595, then add: 2057.\n</reasoning>\nFinal Answer: 2057"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 50 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+50) × 44 = 1716.0.\n</reasoning>\nFinal Answer: 1716.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 17/19 * 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/19) × (13/15) = (221/285) = 221/285 after simplification.\n</reasoning>\nFinal Answer: 221/285"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [34, 76, 93, 47, 59, 30, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 30, 34, 47, 59, 76, 93]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mode of: [5, 36, 36, 17, 20, 70, 28, 48, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {5: 1, 36: 2, 17: 1, 20: 1, 70: 1, 28: 1, 48: 1, 51: 1}. Most frequent: 36.\n</reasoning>\nFinal Answer: 36"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -34 = -56"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 1x = -22. Divide by 1: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -372 + -7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -372 and -7: -372 + -7 = -379.\n</reasoning>\nFinal Answer: -379"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 7 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(7+62) = 2×69 = 138.\n</reasoning>\nFinal Answer: 138"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -236 × -874"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -236 by -874: -236 × -874 = 206264.\n</reasoning>\nFinal Answer: 206264"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 50 and height 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 50 × 60 = 3000.\n</reasoning>\nFinal Answer: 3000"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 74 mod -567"
},
{
"role": "assistant",
"content": "<reasoning>\n74 mod -567: 74 = -567 × -1 + -493, so remainder = -493.\n</reasoning>\nFinal Answer: -493"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 10, 11, 15, 18] and B = [1, 3, 5, 6, 11, 14, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 4, 10, 15].\n</reasoning>\nFinal Answer: [2, 4, 10, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [18, 13, 77, 10, 58, 54, 68, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 10 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the median of: [93, 15, 66, 59, 18, 12, 31, 17, 7, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 12, 15, 17, 18, 31, 59, 61, 66, 93]. Middle value(s) → median = 24.5.\n</reasoning>\nFinal Answer: 24.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 20 = 96"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 4x = 76. Divide by 4: x = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [34, 3, 65, 99, 29, 19, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 19, 29, 34, 65, 91, 99]. Middle value(s) → median = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 56 km/h. How far does it travel in 9 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 18/60 = 9.3000 hours. Distance = speed × time = 56 × 9.3000 = 520.8 km.\n</reasoning>\nFinal Answer: 520.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [42, 9, 86, 63, 96, 61, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 423/7 = 60.4286.\n</reasoning>\nFinal Answer: 60.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 952 ÷ -278"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 952 by -278. 952 ÷ -278 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:37 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/37, so B = A × (37/38) = 38 × 37/38 = 37.0.\n</reasoning>\nFinal Answer: 37.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (17 + 37) * (28 - 18)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (17+37)=54, (28-18)=10, then 54×10=540.\n</reasoning>\nFinal Answer: 540"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 21) * (43 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+21)=63, (43-32)=11, then 63×11=693.\n</reasoning>\nFinal Answer: 693"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4604. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4604 × 12/100 = 552.48. Total = 4604 + 552.48 = 5156.48.\n</reasoning>\nFinal Answer: 5156.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:37 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/37, so B = A × (37/25) = 71 × 37/25 = 105.08.\n</reasoning>\nFinal Answer: 105.08"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [3, 94, 4, 5, 31, 80, 40, 90, 49, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 462/10 = 46.2.\n</reasoning>\nFinal Answer: 46.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 14, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (48-1)×14 = 4 + 658 = 662.\n</reasoning>\nFinal Answer: 662"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 9/8 * 9/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/8) × (9/18) = (81/144) = 9/16 after simplification.\n</reasoning>\nFinal Answer: 9/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (12 + 43) * (8 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (12+43)=55, (8-29)=-21, then 55×-21=-1155.\n</reasoning>\nFinal Answer: -1155"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 61 and width 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(61+30) = 2×91 = 182.\n</reasoning>\nFinal Answer: 182"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -318 × 675"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -318 by 675: -318 × 675 = -214650.\n</reasoning>\nFinal Answer: -214650"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹8012 at 12% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 8012 × 12 × 6 / 100 = 5768.64.\n</reasoning>\nFinal Answer: 5768.64"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 46 = -482"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 11x = -528. Divide by 11: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 62 and height 95."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 62 × 95 = 2945.0.\n</reasoning>\nFinal Answer: 2945.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 33, 11 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (33+11) × 48 = 1056.0.\n</reasoning>\nFinal Answer: 1056.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 2 and width 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(2+32) = 2×34 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 42 + 47 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×42=42 and 47×26=1222, then add: 1264.\n</reasoning>\nFinal Answer: 1264"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 26 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 26 × 16 = 208.0.\n</reasoning>\nFinal Answer: 208.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 13 + 2 * 44"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×13=364 and 2×44=88, then add: 452.\n</reasoning>\nFinal Answer: 452"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (47 + 7) * (21 - 40)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (47+7)=54, (21-40)=-19, then 54×-19=-1026.\n</reasoning>\nFinal Answer: -1026"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 1, 37 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (1+37) × 40 = 760.0.\n</reasoning>\nFinal Answer: 760.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5] and B = [6, 7, 8, 9, 14, 15, 17, 18], 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": "Evaluate using order of operations: 12 + 11 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 12+121-50=83.\n</reasoning>\nFinal Answer: 83"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:22 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/22, so B = A × (22/11) = 99 × 22/11 = 198.0.\n</reasoning>\nFinal Answer: 198.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 28 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 28 = 280 worker-days. New time = 280 / 18 = 15.5556 days.\n</reasoning>\nFinal Answer: 15.5556"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 + 1 * 48 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×48=48, then 32+48-33=47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [61, 29, 94, 20, 18, 77, 74, 13, 42, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 18, 20, 29, 42, 61, 69, 74, 77, 94]. Middle value(s) → median = 51.5.\n</reasoning>\nFinal Answer: 51.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 672 ÷ -250"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 672 by -250. 672 ÷ -250 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 32 = -976"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 28x = -1008. Divide by 28: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:31 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/31, so B = A × (31/50) = 27 × 31/50 = 16.74.\n</reasoning>\nFinal Answer: 16.74"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 172 km/h. How far does it travel in 3 hours and 28 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 28/60 = 3.4667 hours. Distance = speed × time = 172 × 3.4667 = 596.2667 km.\n</reasoning>\nFinal Answer: 596.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/4 + 3/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/4 + 3/3. Common denominator = 4. Result = 15/4.\n</reasoning>\nFinal Answer: 15/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 50 = 446"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 11x = 396. Divide by 11: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [7, 9, 16] and B = [2, 6, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 6, 7, 9, 14, 16].\n</reasoning>\nFinal Answer: [2, 6, 7, 9, 14, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 70 km/h. How far does it travel in 7 hours and 45 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 45/60 = 7.7500 hours. Distance = speed × time = 70 × 7.7500 = 542.5 km.\n</reasoning>\nFinal Answer: 542.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 7, find the 46th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (46-1)×7 = 13 + 315 = 328.\n</reasoning>\nFinal Answer: 328"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 98 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 98 × 42 = 2058.0.\n</reasoning>\nFinal Answer: 2058.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 32 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(32+9) = 2×41 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 35 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+35) × 4 = 96.0.\n</reasoning>\nFinal Answer: 96.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 512 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 512 × (1 + 35/100) = 512 × 1.35 = 691.2.\n</reasoning>\nFinal Answer: 691.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -421 × -376"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -421 by -376: -421 × -376 = 158296.\n</reasoning>\nFinal Answer: 158296"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/15 - 10/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/15 - 10/8. LCD = 60. Result = 1/60.\n</reasoning>\nFinal Answer: 1/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 4 = 526"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 18x = 522. Divide by 18: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 878 × -113"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 878 by -113: 878 × -113 = -99214.\n</reasoning>\nFinal Answer: -99214"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 484 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 30%: 484 × (1 - 30/100) = 484 × 0.7 = 338.8.\n</reasoning>\nFinal Answer: 338.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 80% of 495?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 495 = (80/100) × 495 = 396.0.\n</reasoning>\nFinal Answer: 396.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 8, 9, 12, 13, 14, 16] and B = [1, 2, 6, 11, 14, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [1, 6, 14].\n</reasoning>\nFinal Answer: [1, 6, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23355 at 4% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23355 × 4 × 8 / 100 = 7473.6.\n</reasoning>\nFinal Answer: 7473.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -91 mod -223"
},
{
"role": "assistant",
"content": "<reasoning>\n-91 mod -223: -91 = -223 × 0 + -91, so remainder = -91.\n</reasoning>\nFinal Answer: -91"
}
] | medium | [
"arithmetic",
"computation"
] |
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