messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 4:27 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/27, so B = A × (27/4) = 94 × 27/4 = 634.5.\n</reasoning>\nFinal Answer: 634.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -397 × -580"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -397 by -580: -397 × -580 = 230260.\n</reasoning>\nFinal Answer: 230260"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [12, 2, 47, 84, 23, 65, 51, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {12: 1, 2: 1, 47: 1, 84: 1, 23: 1, 65: 1, 51: 1, 15: 1}. Most frequent: [12, 2, 47, 84, 23, 65, 51, 15].\n</reasoning>\nFinal Answer: [12, 2, 47,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 11/11 * 2/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/11) × (2/2) = (22/22) = 1 after simplification.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -48 = -1270"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 26x = -1222. Divide by 26: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -951 ÷ 383"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -951 by 383. -951 ÷ 383 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [9, 24, 90, 15, 38, 76, 21, 25, 86, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {9: 1, 24: 1, 90: 1, 15: 1, 38: 1, 76: 1, 21: 1, 25: 1, 86: 1, 8: 1}. Most frequent: [9, 24, 90, 15, 38, 76, 21, 25, 86, 8].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 * 40 + 17 * 2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 20×40=800 and 17×2=34, then add: 834.\n</reasoning>\nFinal Answer: 834"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 15 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+15) × 21 = 262.5.\n</reasoning>\nFinal Answer: 262.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -13 ÷ -999"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -13 by -999. -13 ÷ -999 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3297. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3297 × 5/100 = 164.85. Total = 3297 + 164.85 = 3461.85.\n</reasoning>\nFinal Answer: 3461.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 862 ÷ -92"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 862 by -92. 862 ÷ -92 = -10 (integer division).\n</reasoning>\nFinal Answer: -10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 488 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 488 × (1 + 7/100) = 488 × 1.07 = 522.16.\n</reasoning>\nFinal Answer: 522.16"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -937 × 679"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -937 by 679: -937 × 679 = -636223.\n</reasoning>\nFinal Answer: -636223"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -12 = -1332"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 30x = -1320. Divide by 30: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 645 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 645 × (1 - 80/100) = 645 × 0.19999999999999996 = 129.0.\n</reasoning>\nFinal Answer: 129.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 348 mod 289"
},
{
"role": "assistant",
"content": "<reasoning>\n348 mod 289: 348 = 289 × 1 + 59, so remainder = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 22 apples and buys 124 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 22 + 124 = 146.\n</reasoning>\nFinal Answer: 146"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (5 + 20) * (17 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (5+20)=25, (17-38)=-21, then 25×-21=-525.\n</reasoning>\nFinal Answer: -525"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 11, 13, 15, 18] and B = [1, 8, 12, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 8, 11, 12, 13, 15, 17, 18].\n</reasoning>\nFinal Answer: [1, 2, 8, 11, 12, 13, 15, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 13 and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (13×40)/1 = 520.\n</reasoning>\nFinal Answer: 520"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 28 = 748"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 30x = 720. Divide by 30: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 89 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(89+25) = 2×114 = 228.\n</reasoning>\nFinal Answer: 228"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 14 = 405"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 23x = 391. Divide by 23: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -610 - 250"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 250 from -610: -610 - 250 = -860.\n</reasoning>\nFinal Answer: -860"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 27 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 27 = 378 worker-days. New time = 378 / 7 = 54.0 days.\n</reasoning>\nFinal Answer: 54.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 932 × 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 932 by 6: 932 × 6 = 5592.\n</reasoning>\nFinal Answer: 5592"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 76 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 76 × 6 = 228.0.\n</reasoning>\nFinal Answer: 228.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 494 - 599"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 599 from 494: 494 - 599 = -105.\n</reasoning>\nFinal Answer: -105"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 5, 6, 14, 15, 16, 19] and B = [1, 6, 15, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 5, 6, 14, 15, 16, 17, 19].\n</reasoning>\nFinal Answer: [1, 3, 5, 6, 14... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 40 and width 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 40 × 76 = 3040.\n</reasoning>\nFinal Answer: 3040"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:19 and A = 99, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/19, so B = A × (19/10) = 99 × 19/10 = 188.1.\n</reasoning>\nFinal Answer: 188.1"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 255 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 255 × (1 + 90/100) = 255 × 1.9 = 484.5.\n</reasoning>\nFinal Answer: 484.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [5, 17, 93, 59, 10, 64, 80, 37, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 429/9 = 47.6667.\n</reasoning>\nFinal Answer: 47.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "35 is what percentage of 497?"
},
{
"role": "assistant",
"content": "<reasoning>\n(35/497) × 100 = 7.0423%.\n</reasoning>\nFinal Answer: 7.0423%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 712 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 712 × (1 + 90/100) = 712 × 1.9 = 1352.8.\n</reasoning>\nFinal Answer: 1352.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:19 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/19, so B = A × (19/32) = 43 × 19/32 = 25.5312.\n</reasoning>\nFinal Answer: 25.5312"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 12 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 12 = 180 worker-days. New time = 180 / 3 = 60.0 days.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 8 = -304"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 8 from both sides: 8x = -312. Divide by 8: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [20, 84, 47, 96, 31, 48, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 13 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 41 = 71"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 30x = 30. Divide by 30: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 29) * (14 - 29)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+29)=40, (14-29)=-15, then 40×-15=-600.\n</reasoning>\nFinal Answer: -600"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:44 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/44, so B = A × (44/12) = 76 × 44/12 = 278.6667.\n</reasoning>\nFinal Answer: 278.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 11/2 / 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/2) ÷ (6/14) = (11/2) × (14/6) = 77/6.\n</reasoning>\nFinal Answer: 77/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 40% of 98?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 98 = (40/100) × 98 = 39.2.\n</reasoning>\nFinal Answer: 39.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 32 and common difference 2, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 32 + (35-1)×2 = 32 + 68 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 31) * (40 - 14)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+31)=64, (40-14)=26, then 64×26=1664.\n</reasoning>\nFinal Answer: 1664"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 502 + -803"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 502 and -803: 502 + -803 = -301.\n</reasoning>\nFinal Answer: -301"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [98, 9, 85, 91, 81, 69, 100, 10, 82, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {98: 1, 9: 1, 85: 1, 91: 1, 81: 1, 69: 1, 100: 1, 10: 1, 82: 1, 3: 1}. Most frequent: [98, 9, 85, 91, 81, 69, 100, 10, 82, 3].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 12 + 21 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×12=216 and 21×14=294, then add: 510.\n</reasoning>\nFinal Answer: 510"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 339 + 741"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 339 and 741: 339 + 741 = 1080.\n</reasoning>\nFinal Answer: 1080"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 5, 6, 12, 14, 15, 17] and B = [1, 2, 3, 4, 6, 12, 13, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 15, 17].\n</reasoning>\nFinal Answer: [5, 15, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [14, 15, 19, 69, 40, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 15, 19, 40, 69, 76]. Middle value(s) → median = 29.5.\n</reasoning>\nFinal Answer: 29.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 39 and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(39,27) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "737 is what percentage of 764?"
},
{
"role": "assistant",
"content": "<reasoning>\n(737/764) × 100 = 96.466%.\n</reasoning>\nFinal Answer: 96.466%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 183 km/h. How far does it travel in 10 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 11/60 = 10.1833 hours. Distance = speed × time = 183 × 10.1833 = 1863.55 km.\n</reasoning>\nFinal Answer: 1863.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [74, 42, 21, 16, 19, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 174/6 = 29.0.\n</reasoning>\nFinal Answer: 29.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 9/11 / 13/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/11) ÷ (13/14) = (9/11) × (14/13) = 126/143.\n</reasoning>\nFinal Answer: 126/143"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [4, 4, 46, 62, 26, 89, 100, 79, 41, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 4 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -7 = 411"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 11x = 418. Divide by 11: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -33 mod -470"
},
{
"role": "assistant",
"content": "<reasoning>\n-33 mod -470: -33 = -470 × 0 + -33, so remainder = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 105 and 140."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(105,140) = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mean of: [12, 100, 98, 23, 15, 87, 6, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 349/8 = 43.625.\n</reasoning>\nFinal Answer: 43.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Ravi has 68 apples and buys 106 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 68 + 106 = 174.\n</reasoning>\nFinal Answer: 174"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [94, 62, 86, 77, 3, 47, 21, 87, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 3 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 943 ÷ 233"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 943 by 233. 943 ÷ 233 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [20, 31, 42, 53, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 20 and common difference 11. Next term = 64 + 11 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -746 - 325"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 325 from -746: -746 - 325 = -1071.\n</reasoning>\nFinal Answer: -1071"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 17, 24, and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 17 + 24 + 24 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 25 = 207"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 14x = 182. Divide by 14: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 250 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 250 × (1 - 80/100) = 250 × 0.19999999999999996 = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -27 ÷ 752"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -27 by 752. -27 ÷ 752 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -36 = 781"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 19x = 817. Divide by 19: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/7 - 2/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/7 - 2/6. LCD = 3. Result = 5/3.\n</reasoning>\nFinal Answer: 5/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 5 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+5) × 28 = 504.0.\n</reasoning>\nFinal Answer: 504.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/3 / 18/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/3) ÷ (18/7) = (1/3) × (7/18) = 7/54.\n</reasoning>\nFinal Answer: 7/54"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/18 * 1/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/18) × (1/6) = (10/108) = 5/54 after simplification.\n</reasoning>\nFinal Answer: 5/54"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/13 + 9/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/13 + 9/14. Common denominator = 182. Result = 145/182.\n</reasoning>\nFinal Answer: 145/182"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 35 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 35 × 28 = 980.\n</reasoning>\nFinal Answer: 980"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 46 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 46 × 50 = 1150.0.\n</reasoning>\nFinal Answer: 1150.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [32, 46, 86, 87, 80, 27, 94, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 27 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "What is 90% of 552?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 552 = (90/100) × 552 = 496.8.\n</reasoning>\nFinal Answer: 496.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 35, 12, 95, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 35: 1, 12: 1, 95: 1, 41: 1}. Most frequent: [18, 35, 12, 95, 41].\n</reasoning>\nFinal Answer: [18, 35, 12, 95, 41]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [21, 12, 84, 96, 61, 94, 58, 47, 86, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {21: 1, 12: 1, 84: 1, 96: 1, 61: 1, 94: 1, 58: 1, 47: 1, 86: 1, 22: 1}. Most frequent: [21, 12, 84, 96, 61, 94, 58, 47, 86, 22].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [46, 42, 72, 66, 76, 93, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {46: 1, 42: 1, 72: 1, 66: 1, 76: 1, 93: 1, 89: 1}. Most frequent: [46, 42, 72, 66, 76, 93, 89].\n</reasoning>\nFinal Answer: [46, 42, 72, 66, 76, 93... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -27 = 85"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 4x = 112. Divide by 4: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/12 * 16/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (7/12) × (16/14) = (112/168) = 2/3 after simplification.\n</reasoning>\nFinal Answer: 2/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 109 apples and buys 96 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 109 + 96 = 205.\n</reasoning>\nFinal Answer: 205"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 730 mod 211"
},
{
"role": "assistant",
"content": "<reasoning>\n730 mod 211: 730 = 211 × 3 + 97, so remainder = 97.\n</reasoning>\nFinal Answer: 97"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [80, 51, 28, 94, 56, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 28, 51, 56, 80, 94]. Middle value(s) → median = 53.5.\n</reasoning>\nFinal Answer: 53.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:43 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/43, so B = A × (43/7) = 32 × 43/7 = 196.5714.\n</reasoning>\nFinal Answer: 196.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Decrease 6 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 6 × (1 - 40/100) = 6 × 0.6 = 3.6.\n</reasoning>\nFinal Answer: 3.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -45 = 116"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 23x = 161. Divide by 23: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 85 and 176."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(85,176) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [42, 7, 65, 40, 54, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 40, 42, 54, 60, 65]. Middle value(s) → median = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 161 × 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 161 by 14: 161 × 14 = 2254.\n</reasoning>\nFinal Answer: 2254"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [6, 48, 48, 34, 5, 62, 37, 2, 58]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 62 - 2 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:39 and A = 38, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/39, so B = A × (39/30) = 38 × 39/30 = 49.4.\n</reasoning>\nFinal Answer: 49.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 199 apples and buys 171 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 199 + 171 = 370.\n</reasoning>\nFinal Answer: 370"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/10 - 3/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/10 - 3/9. LCD = 30. Result = 29/30.\n</reasoning>\nFinal Answer: 29/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
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