messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 * 13 + 25 * 17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 19×13=247 and 25×17=425, then add: 672.\n</reasoning>\nFinal Answer: 672"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 594 - -330"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -330 from 594: 594 - -330 = 924.\n</reasoning>\nFinal Answer: 924"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 19 and height 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 19 × 56 = 1064.\n</reasoning>\nFinal Answer: 1064"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 1 = 517"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 12x = 516. Divide by 12: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 14 = 2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 2x = -12. Divide by 2: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 872 ÷ -695"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 872 by -695. 872 ÷ -695 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -15 = 125"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 5x = 140. Divide by 5: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -935 - 464"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 464 from -935: -935 - 464 = -1399.\n</reasoning>\nFinal Answer: -1399"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [100, 7, 95, 94, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 32, 94, 95, 100]. Middle value(s) → median = 94.\n</reasoning>\nFinal Answer: 94"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [6, 7, 18] and B = [4, 5, 14, 15, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 7, 18].\n</reasoning>\nFinal Answer: [6, 7, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [80, 21, 18, 66, 15, 26, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [15, 18, 21, 26, 29, 66, 80]. Middle value(s) → median = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 50 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 50 × 39 = 1950.\n</reasoning>\nFinal Answer: 1950"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "5 is what percentage of 10?"
},
{
"role": "assistant",
"content": "<reasoning>\n(5/10) × 100 = 50.0%.\n</reasoning>\nFinal Answer: 50.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the mean of: [70, 100, 86, 60, 32, 43, 42, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 523/8 = 65.375.\n</reasoning>\nFinal Answer: 65.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 25 = -1127"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 24x = -1152. Divide by 24: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 17% of 171?"
},
{
"role": "assistant",
"content": "<reasoning>\n17% of 171 = (17/100) × 171 = 29.07.\n</reasoning>\nFinal Answer: 29.07"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [13, 65, 55, 56, 76, 62, 24, 12, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 13, 24, 46, 55, 56, 62, 65, 76]. Middle value(s) → median = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 41 * 19 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×19=779, then 13+779-7=785.\n</reasoning>\nFinal Answer: 785"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [21, 77, 3, 56, 24, 41, 22, 10, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 10, 21, 22, 24, 41, 56, 77, 95]. Middle value(s) → median = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -34 = -286"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 6x = -252. Divide by 6: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 42 + 46 * 50"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×42=1344 and 46×50=2300, then add: 3644.\n</reasoning>\nFinal Answer: 3644"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹44581 at 6% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 44581 × 6 × 9 / 100 = 24073.74.\n</reasoning>\nFinal Answer: 24073.74"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 5/20 * 13/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/20) × (13/17) = (65/340) = 13/68 after simplification.\n</reasoning>\nFinal Answer: 13/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 208 mod 143"
},
{
"role": "assistant",
"content": "<reasoning>\n208 mod 143: 208 = 143 × 1 + 65, so remainder = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 7% of 389?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 389 = (7/100) × 389 = 27.23.\n</reasoning>\nFinal Answer: 27.23"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/10 / 14/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/10) ÷ (14/1) = (5/10) × (1/14) = 1/28.\n</reasoning>\nFinal Answer: 1/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/13 / 18/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/13) ÷ (18/13) = (14/13) × (13/18) = 7/9.\n</reasoning>\nFinal Answer: 7/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -831 mod 624"
},
{
"role": "assistant",
"content": "<reasoning>\n-831 mod 624: -831 = 624 × -2 + 417, so remainder = 417.\n</reasoning>\nFinal Answer: 417"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 7, 8, 9, 10, 14, 15] and B = [4, 6, 9, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [4, 5, 6, 7, 8, 9, 10, 14, 15].\n</reasoning>\nFinal Answer: [4, 5, 6, 7, 8, 9, 10, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 679 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 679 × (1 + 75/100) = 679 × 1.75 = 1188.25.\n</reasoning>\nFinal Answer: 1188.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 34 * 46 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 34×46=1564, then 36+1564-33=1567.\n</reasoning>\nFinal Answer: 1567"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 13 = 453"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 10x = 440. Divide by 10: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 24 and 48."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (24×48)/24 = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Increase 418 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 418 × (1 + 70/100) = 418 × 1.7 = 710.6.\n</reasoning>\nFinal Answer: 710.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [8, 25, 36, 4, 75, 65, 66, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 369/8 = 46.125.\n</reasoning>\nFinal Answer: 46.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 17 = -511"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 22x = -528. Divide by 22: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 13) * (7 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+13)=41, (7-12)=-5, then 41×-5=-205.\n</reasoning>\nFinal Answer: -205"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 11, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (30-1)×11 = 17 + 319 = 336.\n</reasoning>\nFinal Answer: 336"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [1, 74, 38, 57, 2, 69, 11, 29, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 379/9 = 42.1111.\n</reasoning>\nFinal Answer: 42.1111"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -32 = -212"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 15x = -180. Divide by 15: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 10% of 69?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 69 = (10/100) × 69 = 6.9.\n</reasoning>\nFinal Answer: 6.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [30, 77, 56, 40, 41, 28, 76, 71, 26, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [26, 28, 30, 40, 41, 56, 71, 76, 77, 90]. Middle value(s) → median = 48.5.\n</reasoning>\nFinal Answer: 48.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 13 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 23+169-27=165.\n</reasoning>\nFinal Answer: 165"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 704 × -701"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 704 by -701: 704 × -701 = -493504.\n</reasoning>\nFinal Answer: -493504"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 238 - -380"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -380 from 238: 238 - -380 = 618.\n</reasoning>\nFinal Answer: 618"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 354 - 554"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 554 from 354: 354 - 554 = -200.\n</reasoning>\nFinal Answer: -200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49820 at 8% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49820 × 8 × 3 / 100 = 11956.8.\n</reasoning>\nFinal Answer: 11956.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 19 * 35 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 19×35=665, then 47+665-42=670.\n</reasoning>\nFinal Answer: 670"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [68, 48, 81, 61, 30, 45, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [30, 45, 48, 61, 68, 81, 84]. Middle value(s) → median = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 49 km/h. How far does it travel in 4 hours and 42 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 42/60 = 4.7000 hours. Distance = speed × time = 49 × 4.7000 = 230.3 km.\n</reasoning>\nFinal Answer: 230.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "632 is what percentage of 703?"
},
{
"role": "assistant",
"content": "<reasoning>\n(632/703) × 100 = 89.9004%.\n</reasoning>\nFinal Answer: 89.9004%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 32 = 292"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 10x = 260. Divide by 10: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 951 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from 951: 951 - 7 = 944.\n</reasoning>\nFinal Answer: 944"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 46 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(46+9) = 2×55 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 45% of 206?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 206 = (45/100) × 206 = 92.7.\n</reasoning>\nFinal Answer: 92.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/5 / 15/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/5) ÷ (15/13) = (13/5) × (13/15) = 169/75.\n</reasoning>\nFinal Answer: 169/75"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 29 and width 42."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(29+42) = 2×71 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 17/11 * 9/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/11) × (9/19) = (153/209) = 153/209 after simplification.\n</reasoning>\nFinal Answer: 153/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -683 × -744"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -683 by -744: -683 × -744 = 508152.\n</reasoning>\nFinal Answer: 508152"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (49 + 3) * (6 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (49+3)=52, (6-32)=-26, then 52×-26=-1352.\n</reasoning>\nFinal Answer: -1352"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 62 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 62 × 39 = 1209.0.\n</reasoning>\nFinal Answer: 1209.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:25 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/25, so B = A × (25/40) = 76 × 25/40 = 47.5.\n</reasoning>\nFinal Answer: 47.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 30 = -180"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 10x = -210. Divide by 10: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/11 / 8/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/11) ÷ (8/15) = (9/11) × (15/8) = 135/88.\n</reasoning>\nFinal Answer: 135/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (44)x + (112) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 44² - 4×4×112 = 144. √discriminant = 12. x = (-(44) ± 12) / (2×4). Solutions: x = -4 or x = -7.\n</reasoning>\nFinal Answer: x = -4 or x = -7"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "An item costs ₹4430. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4430 × 18/100 = 797.4. Total = 4430 + 797.4 = 5227.4.\n</reasoning>\nFinal Answer: 5227.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:38 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/38, so B = A × (38/13) = 13 × 38/13 = 38.0.\n</reasoning>\nFinal Answer: 38.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 462 ÷ -302"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 462 by -302. 462 ÷ -302 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 13/7 + 18/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/7 + 18/10. Common denominator = 35. Result = 128/35.\n</reasoning>\nFinal Answer: 128/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 662 + -699"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 662 and -699: 662 + -699 = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 38 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(38+45) = 2×83 = 166.\n</reasoning>\nFinal Answer: 166"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -374 - 753"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 753 from -374: -374 - 753 = -1127.\n</reasoning>\nFinal Answer: -1127"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 8, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (25-1)×8 = 6 + 192 = 198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -8 = -541"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 13x = -533. Divide by 13: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 200 mod 407"
},
{
"role": "assistant",
"content": "<reasoning>\n200 mod 407: 200 = 407 × 0 + 200, so remainder = 200.\n</reasoning>\nFinal Answer: 200"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/15 / 8/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/15) ÷ (8/6) = (11/15) × (6/8) = 11/20.\n</reasoning>\nFinal Answer: 11/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [82, 2, 64, 76, 59, 2, 48, 74, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 2, 48, 59, 64, 74, 76, 82, 94]. Middle value(s) → median = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the median of: [10, 75, 97, 83, 58, 97, 74, 47, 54, 62]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 47, 54, 58, 62, 74, 75, 83, 97, 97]. Middle value(s) → median = 68.0.\n</reasoning>\nFinal Answer: 68.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 443 - -826"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -826 from 443: 443 - -826 = 1269.\n</reasoning>\nFinal Answer: 1269"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 307 × -9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 307 by -9: 307 × -9 = -2763.\n</reasoning>\nFinal Answer: -2763"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "34 is what percentage of 968?"
},
{
"role": "assistant",
"content": "<reasoning>\n(34/968) × 100 = 3.5124%.\n</reasoning>\nFinal Answer: 3.5124%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 707 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 707 × (1 + 70/100) = 707 × 1.7 = 1201.9.\n</reasoning>\nFinal Answer: 1201.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -145 - -596"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -596 from -145: -145 - -596 = 451.\n</reasoning>\nFinal Answer: 451"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 18 = 1026"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 21x = 1008. Divide by 21: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 48, 26, 14, 24, 50, 50, 46, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 24, 26, 46, 48, 50, 50, 65, 86]. Middle value(s) → median = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 89, 46, 23, 41, 63, 93, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 13 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "176 is what percentage of 309?"
},
{
"role": "assistant",
"content": "<reasoning>\n(176/309) × 100 = 56.9579%.\n</reasoning>\nFinal Answer: 56.9579%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 604 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 604 × (1 + 40/100) = 604 × 1.4 = 845.6.\n</reasoning>\nFinal Answer: 845.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 1 = 834"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 17x = 833. Divide by 17: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 51."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 51 = 204.\n</reasoning>\nFinal Answer: 204"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 27 and 50."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(27,50) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Increase 272 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 272 × (1 + 5/100) = 272 × 1.05 = 285.6.\n</reasoning>\nFinal Answer: 285.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4677. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4677 × 28/100 = 1309.56. Total = 4677 + 1309.56 = 5986.56.\n</reasoning>\nFinal Answer: 5986.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [73, 65, 98, 20, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 43, 65, 73, 98]. Middle value(s) → median = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 18 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 18 = 36 worker-days. New time = 36 / 13 = 2.7692 days.\n</reasoning>\nFinal Answer: 2.7692"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 44 + 11 * 35"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×44=264 and 11×35=385, then add: 649.\n</reasoning>\nFinal Answer: 649"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9929 at 3% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9929 × 3 × 6 / 100 = 1787.22.\n</reasoning>\nFinal Answer: 1787.22"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 34 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+34) × 27 = 810.0.\n</reasoning>\nFinal Answer: 810.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 12/4 - 14/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/4 - 14/17. LCD = 17. Result = 37/17.\n</reasoning>\nFinal Answer: 37/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 7 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 7 = 91 worker-days. New time = 91 / 13 = 7.0 days.\n</reasoning>\nFinal Answer: 7.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
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