messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Two trains start towards each other from stations 277 km apart. Their speeds are 93 km/h and 90 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 93+90=183 km/h. Time = 277/183 = 1.5137 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -649 - -635"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -635 from -649: -649 - -635 = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 37 and height 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 37 × 74 = 2738.\n</reasoning>\nFinal Answer: 2738"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 13/10 / 16/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/10) ÷ (16/5) = (13/10) × (5/16) = 13/32.\n</reasoning>\nFinal Answer: 13/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 720 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 720 × (1 - 75/100) = 720 × 0.25 = 180.0.\n</reasoning>\nFinal Answer: 180.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 88 and width 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(88+38) = 2×126 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9276 at 16% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9276 × 16 × 9 / 100 = 13357.44.\n</reasoning>\nFinal Answer: 13357.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -896 - -926"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -926 from -896: -896 - -926 = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -203 - 163"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 163 from -203: -203 - 163 = -366.\n</reasoning>\nFinal Answer: -366"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [69, 9, 36, 70, 7, 12, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 9, 12, 36, 51, 69, 70]. Middle value(s) → median = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 710 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 710 × (1 + 17/100) = 710 × 1.17 = 830.7.\n</reasoning>\nFinal Answer: 830.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 9 = -411"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 10x = -420. Divide by 10: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 26 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (26×2)/2 = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -350 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from -350: -350 - 11 = -361.\n</reasoning>\nFinal Answer: -361"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:39 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/39, so B = A × (39/14) = 46 × 39/14 = 128.1429.\n</reasoning>\nFinal Answer: 128.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 60 and width 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 60 × 94 = 5640.\n</reasoning>\nFinal Answer: 5640"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 3/20 / 13/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/20) ÷ (13/1) = (3/20) × (1/13) = 3/260.\n</reasoning>\nFinal Answer: 3/260"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [81, 27, 5, 50, 100, 77, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 27, 50, 65, 77, 81, 100]. Middle value(s) → median = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [4, 18, 19] and B = [1, 3, 9, 14, 15, 16, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 19].\n</reasoning>\nFinal Answer: [4, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -71 × 816"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -71 by 816: -71 × 816 = -57936.\n</reasoning>\nFinal Answer: -57936"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [88, 11, 4, 20, 82, 72, 62, 32, 67, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 488/10 = 48.8.\n</reasoning>\nFinal Answer: 48.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [61, 77, 76, 1, 21, 46, 25, 76, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {61: 1, 77: 1, 76: 2, 1: 1, 21: 1, 46: 1, 25: 1, 75: 1}. Most frequent: 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mean of: [92, 36, 26, 98, 40, 52, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 433/7 = 61.8571.\n</reasoning>\nFinal Answer: 61.8571"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 98 and width 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 98 × 89 = 8722.\n</reasoning>\nFinal Answer: 8722"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 12 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 12²=144, then 13+144-43=114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 17 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 17²=289, then 34+289-20=303.\n</reasoning>\nFinal Answer: 303"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -50 = -95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 3x = -45. Divide by 3: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 16 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 16 = 144 worker-days. New time = 144 / 18 = 8.0 days.\n</reasoning>\nFinal Answer: 8.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/20 + 13/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/20 + 13/8. Common denominator = 8. Result = 19/8.\n</reasoning>\nFinal Answer: 19/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 49 and height 74."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 49 × 74 = 3626.\n</reasoning>\nFinal Answer: 3626"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [23, 81, 97, 53, 42, 98, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 403/7 = 57.5714.\n</reasoning>\nFinal Answer: 57.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 948 + 110"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 948 and 110: 948 + 110 = 1058.\n</reasoning>\nFinal Answer: 1058"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [82, 83, 66, 40, 87, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 401/6 = 66.8333.\n</reasoning>\nFinal Answer: 66.8333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Decrease 137 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 137 × (1 - 65/100) = 137 × 0.35 = 47.95.\n</reasoning>\nFinal Answer: 47.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "626 is what percentage of 856?"
},
{
"role": "assistant",
"content": "<reasoning>\n(626/856) × 100 = 73.1308%.\n</reasoning>\nFinal Answer: 73.1308%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 1/14 / 13/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/14) ÷ (13/7) = (1/14) × (7/13) = 1/26.\n</reasoning>\nFinal Answer: 1/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/8 - 17/11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/8 - 17/11. LCD = 88. Result = 29/88.\n</reasoning>\nFinal Answer: 29/88"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 731 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 25%: 731 × (1 - 25/100) = 731 × 0.75 = 548.25.\n</reasoning>\nFinal Answer: 548.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 704 × 774"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 704 by 774: 704 × 774 = 544896.\n</reasoning>\nFinal Answer: 544896"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -40 = -447"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 11x = -407. Divide by 11: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹4929. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4929 × 28/100 = 1380.12. Total = 4929 + 1380.12 = 6309.12.\n</reasoning>\nFinal Answer: 6309.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 36 = 1072"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 28x = 1036. Divide by 28: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -2 = 482"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 11x = 484. Divide by 11: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 81 and width 47."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(81+47) = 2×128 = 256.\n</reasoning>\nFinal Answer: 256"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -28 = -204"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 8x = -176. Divide by 8: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 30 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (30×4)/2 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the range of: [56, 64, 56, 21, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 82 - 21 = 61.\n</reasoning>\nFinal Answer: 61"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 60, 23, 13, 3, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 1, 60: 1, 23: 1, 13: 1, 3: 1, 70: 1}. Most frequent: [91, 60, 23, 13, 3, 70].\n</reasoning>\nFinal Answer: [91, 60, 23, 13, 3, 70]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -312 ÷ -732"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -312 by -732. -312 ÷ -732 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 23 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+23) × 42 = 735.0.\n</reasoning>\nFinal Answer: 735.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -15 = 882"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 23x = 897. Divide by 23: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:36 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/36, so B = A × (36/39) = 95 × 36/39 = 87.6923.\n</reasoning>\nFinal Answer: 87.6923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -422 - 946"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 946 from -422: -422 - 946 = -1368.\n</reasoning>\nFinal Answer: -1368"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -42 = -346"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 8x = -304. Divide by 8: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/6 - 5/18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/6 - 5/18. LCD = 18. Result = 37/18.\n</reasoning>\nFinal Answer: 37/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/17 * 10/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/17) × (10/12) = (180/204) = 15/17 after simplification.\n</reasoning>\nFinal Answer: 15/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 18) * (16 - 41)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+18)=29, (16-41)=-25, then 29×-25=-725.\n</reasoning>\nFinal Answer: -725"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/4 - 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/4 - 13/15. LCD = 60. Result = -7/60.\n</reasoning>\nFinal Answer: -7/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -36 = 589"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 25x = 625. Divide by 25: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 2 and height 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+2) × 20 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -121 - -801"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -801 from -121: -121 - -801 = 680.\n</reasoning>\nFinal Answer: 680"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 6, 10, 11] and B = [3, 16, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 5, 6, 10, 11].\n</reasoning>\nFinal Answer: [2, 5, 6, 10, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 12 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 12 = 36 worker-days. New time = 36 / 17 = 2.1176 days.\n</reasoning>\nFinal Answer: 2.1176"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 * 16 + 11 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 2×16=32 and 11×9=99, then add: 131.\n</reasoning>\nFinal Answer: 131"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -690 ÷ 577"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -690 by 577. -690 ÷ 577 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 32 and common difference 2, find the 46th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 32 + (46-1)×2 = 32 + 90 = 122.\n</reasoning>\nFinal Answer: 122"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 468 km apart. Their speeds are 102 km/h and 114 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 102+114=216 km/h. Time = 468/216 = 2.1667 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 18/19 * 2/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/19) × (2/4) = (36/76) = 9/19 after simplification.\n</reasoning>\nFinal Answer: 9/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (6 + 45) * (23 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (6+45)=51, (23-31)=-8, then 51×-8=-408.\n</reasoning>\nFinal Answer: -408"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [95, 97, 85, 80, 54, 24, 30, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 466/8 = 58.25.\n</reasoning>\nFinal Answer: 58.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 53 and width 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 53 × 91 = 4823.\n</reasoning>\nFinal Answer: 4823"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 23 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 23 = 414 worker-days. New time = 414 / 17 = 24.3529 days.\n</reasoning>\nFinal Answer: 24.3529"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 42 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 42 × 28 = 1176.\n</reasoning>\nFinal Answer: 1176"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 - 7/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/2 - 7/17. LCD = 17. Result = 146/17.\n</reasoning>\nFinal Answer: 146/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/4 / 13/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/4) ÷ (13/3) = (18/4) × (3/13) = 27/26.\n</reasoning>\nFinal Answer: 27/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/5 / 6/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/5) ÷ (6/18) = (20/5) × (18/6) = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -24 = 336"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 15x = 360. Divide by 15: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [86, 91, 39, 82, 68, 21, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {86: 1, 91: 1, 39: 1, 82: 1, 68: 1, 21: 1, 80: 1}. Most frequent: [86, 91, 39, 82, 68, 21, 80].\n</reasoning>\nFinal Answer: [86, 91, 39, 82, 68, 21... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 6 = 1266"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 28x = 1260. Divide by 28: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/17 * 15/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/17) × (15/9) = (15/153) = 5/51 after simplification.\n</reasoning>\nFinal Answer: 5/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 20, 46 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (20+46) × 35 = 1155.0.\n</reasoning>\nFinal Answer: 1155.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 12, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (26-1)×12 = 37 + 300 = 337.\n</reasoning>\nFinal Answer: 337"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [80, 58, 63, 31, 23, 48, 80, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 80 - 13 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 384 mod 959"
},
{
"role": "assistant",
"content": "<reasoning>\n384 mod 959: 384 = 959 × 0 + 384, so remainder = 384.\n</reasoning>\nFinal Answer: 384"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 30 * 13 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 30×13=390, then 43+390-21=412.\n</reasoning>\nFinal Answer: 412"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 823 + 774"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 823 and 774: 823 + 774 = 1597.\n</reasoning>\nFinal Answer: 1597"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -22 = 30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 26x = 52. Divide by 26: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 294 + 382"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 294 and 382: 294 + 382 = 676.\n</reasoning>\nFinal Answer: 676"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "715 is what percentage of 909?"
},
{
"role": "assistant",
"content": "<reasoning>\n(715/909) × 100 = 78.6579%.\n</reasoning>\nFinal Answer: 78.6579%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 438 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 438 × (1 - 100/100) = 438 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 156 and 100."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(156,100) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 73 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 73 × 61 = 4453.\n</reasoning>\nFinal Answer: 4453"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 597 + -71"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 597 and -71: 597 + -71 = 526.\n</reasoning>\nFinal Answer: 526"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3853. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3853 × 5/100 = 192.65. Total = 3853 + 192.65 = 4045.65.\n</reasoning>\nFinal Answer: 4045.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 508 × 122"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 508 by 122: 508 × 122 = 61976.\n</reasoning>\nFinal Answer: 61976"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 25 = 1105"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 24x = 1080. Divide by 24: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 76 and 122."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(76,122) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 40 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 31+1600-20=1611.\n</reasoning>\nFinal Answer: 1611"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/13 / 12/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/13) ÷ (12/7) = (7/13) × (7/12) = 49/156.\n</reasoning>\nFinal Answer: 49/156"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [5, 21, 37, 53, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 5 and common difference 16. Next term = 69 + 16 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
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