messages listlengths 2 2 | difficulty stringclasses 3 values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a rectangle with length 33 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 33 × 25 = 825.\n</reasoning>\nFinal Answer: 825"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 589 mod -682"
},
{
"role": "assistant",
"content": "<reasoning>\n589 mod -682: 589 = -682 × -1 + -93, so remainder = -93.\n</reasoning>\nFinal Answer: -93"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 940 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 940 × (1 + 17/100) = 940 × 1.17 = 1099.8.\n</reasoning>\nFinal Answer: 1099.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 764 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 764 × (1 + 60/100) = 764 × 1.6 = 1222.4.\n</reasoning>\nFinal Answer: 1222.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 2, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (47-1)×2 = 17 + 92 = 109.\n</reasoning>\nFinal Answer: 109"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 12 * 1 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×1=12, then 36+12-28=20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 5 and width 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 5 × 45 = 225.\n</reasoning>\nFinal Answer: 225"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 20 and 107."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(20,107) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 575 - -35"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from 575: 575 - -35 = 610.\n</reasoning>\nFinal Answer: 610"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -446 mod -699"
},
{
"role": "assistant",
"content": "<reasoning>\n-446 mod -699: -446 = -699 × 0 + -446, so remainder = -446.\n</reasoning>\nFinal Answer: -446"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:33 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/33, so B = A × (33/3) = 8 × 33/3 = 88.0.\n</reasoning>\nFinal Answer: 88.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "192 is what percentage of 225?"
},
{
"role": "assistant",
"content": "<reasoning>\n(192/225) × 100 = 85.3333%.\n</reasoning>\nFinal Answer: 85.3333%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 12 and width 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(12+35) = 2×47 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 452 + -880"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 452 and -880: 452 + -880 = -428.\n</reasoning>\nFinal Answer: -428"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [29, 97, 41, 70, 77, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {29: 1, 97: 1, 41: 1, 70: 1, 77: 1, 4: 1}. Most frequent: [29, 97, 41, 70, 77, 4].\n</reasoning>\nFinal Answer: [29, 97, 41, 70, 77, 4]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (8)x + (-320) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 8² - 4×4×-320 = 5184. √discriminant = 72. x = (-(8) ± 72) / (2×4). Solutions: x = 8 or x = -10.\n</reasoning>\nFinal Answer: x = 8 or x = -10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 143 mod 598"
},
{
"role": "assistant",
"content": "<reasoning>\n143 mod 598: 143 = 598 × 0 + 143, so remainder = 143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 8, 15, 17, 18] and B = [4, 6, 9, 11, 12, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 8, 17, 18].\n</reasoning>\nFinal Answer: [2, 8, 17, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 14 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 14 = 182 worker-days. New time = 182 / 8 = 22.75 days.\n</reasoning>\nFinal Answer: 22.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [54, 6, 6, 78, 100, 97, 71, 25, 20, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 525/10 = 52.5.\n</reasoning>\nFinal Answer: 52.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -596 - -395"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -395 from -596: -596 - -395 = -201.\n</reasoning>\nFinal Answer: -201"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 20% of 83?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 83 = (20/100) × 83 = 16.6.\n</reasoning>\nFinal Answer: 16.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 * 24 + 47 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 35×24=840 and 47×19=893, then add: 1733.\n</reasoning>\nFinal Answer: 1733"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 32 = -142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 6x = -174. Divide by 6: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 83 and width 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 83 × 78 = 6474.\n</reasoning>\nFinal Answer: 6474"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 306 mod -143"
},
{
"role": "assistant",
"content": "<reasoning>\n306 mod -143: 306 = -143 × -3 + -123, so remainder = -123.\n</reasoning>\nFinal Answer: -123"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -49 = 83"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 3x = 132. Divide by 3: x = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [53, 98, 52, 97, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [15, 52, 53, 97, 98]. Middle value(s) → median = 53.\n</reasoning>\nFinal Answer: 53"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Increase 662 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 662 × (1 + 10/100) = 662 × 1.1 = 728.2.\n</reasoning>\nFinal Answer: 728.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 162 × 769"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 162 by 769: 162 × 769 = 124578.\n</reasoning>\nFinal Answer: 124578"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 708 ÷ 975"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 708 by 975. 708 ÷ 975 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 561 + 245"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 561 and 245: 561 + 245 = 806.\n</reasoning>\nFinal Answer: 806"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [21, 16, 96, 1, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 177/5 = 35.4.\n</reasoning>\nFinal Answer: 35.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 22 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 22 = 286 worker-days. New time = 286 / 3 = 95.3333 days.\n</reasoning>\nFinal Answer: 95.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 16) * (28 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+16)=24, (28-49)=-21, then 24×-21=-504.\n</reasoning>\nFinal Answer: -504"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [74, 11, 88, 3, 29, 72, 12, 62, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 11, 12, 25, 29, 62, 72, 74, 88]. Middle value(s) → median = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 18 = 1488"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 30x = 1470. Divide by 30: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + 16 = -335"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 13x = -351. Divide by 13: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [98, 53, 74, 94, 80, 37, 95, 29, 95, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {98: 1, 53: 1, 74: 1, 94: 1, 80: 1, 37: 1, 95: 2, 29: 1, 83: 1}. Most frequent: 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 11, 14, 15, 16, 17] and B = [3, 14, 15, 16, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 5, 11, 14, 15, 16, 17, 19].\n</reasoning>\nFinal Answer: [1, 3, 5, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [73, 17, 79, 87, 35, 80, 35, 56]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {73: 1, 17: 1, 79: 1, 87: 1, 35: 2, 80: 1, 56: 1}. Most frequent: 35.\n</reasoning>\nFinal Answer: 35"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 3 and height 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 3 × 83 = 124.5.\n</reasoning>\nFinal Answer: 124.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 65 apples and buys 102 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 65 + 102 = 167.\n</reasoning>\nFinal Answer: 167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 28 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 28 = 280 worker-days. New time = 280 / 7 = 40.0 days.\n</reasoning>\nFinal Answer: 40.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -28 = -748"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 20x = -720. Divide by 20: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 35 = 464"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 11x = 429. Divide by 11: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 120 - -296"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -296 from 120: 120 - -296 = 416.\n</reasoning>\nFinal Answer: 416"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 218 + -991"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 218 and -991: 218 + -991 = -773.\n</reasoning>\nFinal Answer: -773"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 365 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 365 × (1 - 80/100) = 365 × 0.19999999999999996 = 73.0.\n</reasoning>\nFinal Answer: 73.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 938 mod -119"
},
{
"role": "assistant",
"content": "<reasoning>\n938 mod -119: 938 = -119 × -8 + -14, so remainder = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 44 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 44+1936-4=1976.\n</reasoning>\nFinal Answer: 1976"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 23, 45 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (23+45) × 33 = 1122.0.\n</reasoning>\nFinal Answer: 1122.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -39 - 395"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 395 from -39: -39 - 395 = -434.\n</reasoning>\nFinal Answer: -434"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 29 and width 92."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 29 × 92 = 2668.\n</reasoning>\nFinal Answer: 2668"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32083 at 7% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32083 × 7 × 5 / 100 = 11229.05.\n</reasoning>\nFinal Answer: 11229.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Is 51 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n51 = 3 × 17, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Decrease 580 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 580 × (1 - 60/100) = 580 × 0.4 = 232.0.\n</reasoning>\nFinal Answer: 232.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [64, 68, 13, 76, 85, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 325/6 = 54.1667.\n</reasoning>\nFinal Answer: 54.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 32) * (33 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+32)=34, (33-39)=-6, then 34×-6=-204.\n</reasoning>\nFinal Answer: -204"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹3930. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3930 × 18/100 = 707.4. Total = 3930 + 707.4 = 4637.4.\n</reasoning>\nFinal Answer: 4637.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:42 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/42, so B = A × (42/36) = 89 × 42/36 = 103.8333.\n</reasoning>\nFinal Answer: 103.8333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -811 × 301"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -811 by 301: -811 × 301 = -244111.\n</reasoning>\nFinal Answer: -244111"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -2 = 1079"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 23x = 1081. Divide by 23: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 134 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(134,36) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the mode of: [37, 4, 63, 36, 70, 40, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {37: 1, 4: 1, 63: 1, 36: 1, 70: 1, 40: 1, 98: 1}. Most frequent: [37, 4, 63, 36, 70, 40, 98].\n</reasoning>\nFinal Answer: [37, 4, 63, 36, 70, 40, 98... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the mode of: [19, 51, 94, 48, 24, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {19: 1, 51: 1, 94: 1, 48: 1, 24: 1, 25: 1}. Most frequent: [19, 51, 94, 48, 24, 25].\n</reasoning>\nFinal Answer: [19, 51, 94, 48, 24, 25]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 630 × -633"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 630 by -633: 630 × -633 = -398790.\n</reasoning>\nFinal Answer: -398790"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [23, 89, 64, 59, 12, 85, 25, 24, 47, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {23: 1, 89: 1, 64: 1, 59: 2, 12: 1, 85: 1, 25: 1, 24: 1, 47: 1}. Most frequent: 59.\n</reasoning>\nFinal Answer: 59"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 13/4 * 16/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/4) × (16/5) = (208/20) = 52/5 after simplification.\n</reasoning>\nFinal Answer: 52/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 38 and width 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 38 × 98 = 3724.\n</reasoning>\nFinal Answer: 3724"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 3/5 * 10/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/5) × (10/8) = (30/40) = 3/4 after simplification.\n</reasoning>\nFinal Answer: 3/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 37) * (25 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+37)=55, (25-20)=5, then 55×5=275.\n</reasoning>\nFinal Answer: 275"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/6 * 13/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/6) × (13/5) = (143/30) = 143/30 after simplification.\n</reasoning>\nFinal Answer: 143/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [93, 10, 12, 25, 4, 94, 77, 8, 29, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {93: 1, 10: 1, 12: 1, 25: 1, 4: 1, 94: 1, 77: 1, 8: 1, 29: 1, 47: 1}. Most frequent: [93, 10, 12, 25, 4, 94, 77, 8, 29, 47].\n</reasoning>... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 98 and 162."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(98,162) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Increase 278 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 278 × (1 + 80/100) = 278 × 1.8 = 500.4.\n</reasoning>\nFinal Answer: 500.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3559. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3559 × 5/100 = 177.95. Total = 3559 + 177.95 = 3736.95.\n</reasoning>\nFinal Answer: 3736.95"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:1 and A = 82, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/1, so B = A × (1/9) = 82 × 1/9 = 9.1111.\n</reasoning>\nFinal Answer: 9.1111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 834 + 324"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 834 and 324: 834 + 324 = 1158.\n</reasoning>\nFinal Answer: 1158"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -23 = 81"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 4x = 104. Divide by 4: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 45 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 45 × 39 = 877.5.\n</reasoning>\nFinal Answer: 877.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find log base 2 of 2."
},
{
"role": "assistant",
"content": "<reasoning>\nlog_2(2) = 1 because 2^1 = 2.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"logarithms"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 7 = -101"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 4x = -108. Divide by 4: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 10, 15] and B = [5, 7, 10, 13, 14, 15, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 5, 13, 14, 16, 19].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 21 and common difference 4, find the 46th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 21 + (46-1)×4 = 21 + 180 = 201.\n</reasoning>\nFinal Answer: 201"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -854 mod -814"
},
{
"role": "assistant",
"content": "<reasoning>\n-854 mod -814: -854 = -814 × 1 + -40, so remainder = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 672 - 504"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 504 from 672: 672 - 504 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 9 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 12+81-22=71.\n</reasoning>\nFinal Answer: 71"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 27 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+27) × 2 = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [4, 12, 15, 18] and B = [3, 5, 10, 11, 13, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 12, 15].\n</reasoning>\nFinal Answer: [4, 12, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 412 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 412 × (1 + 5/100) = 412 × 1.05 = 432.6.\n</reasoning>\nFinal Answer: 432.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 * 14 + 20 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 43×14=602 and 20×4=80, then add: 682.\n</reasoning>\nFinal Answer: 682"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 35 ** 2 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 1+1225-33=1193.\n</reasoning>\nFinal Answer: 1193"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [89, 89, 69, 44, 12, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 316/6 = 52.6667.\n</reasoning>\nFinal Answer: 52.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (9)x + (0) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 9² - 4×3×0 = 81. √discriminant = 9. x = (-(9) ± 9) / (2×3). Solutions: x = -3 or x = 0.\n</reasoning>\nFinal Answer: x = -3 or x = 0"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Increase 658 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 658 × (1 + 50/100) = 658 × 1.5 = 987.0.\n</reasoning>\nFinal Answer: 987.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -17 = -545"
},
{
"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": "Simplify: 16/6 + 17/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/6 + 17/12. Common denominator = 12. Result = 49/12.\n</reasoning>\nFinal Answer: 49/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 26 = 356"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 11x = 330. Divide by 11: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 24 = -816"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 24x = -840. Divide by 24: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
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