messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve for x: 4x + 39 = -85"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 4x = -124. Divide by 4: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -32 = -206"
},
{
"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": "Decrease 718 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 718 × (1 - 65/100) = 718 × 0.35 = 251.3.\n</reasoning>\nFinal Answer: 251.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 52 apples and buys 174 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 52 + 174 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 767 km apart. Their speeds are 108 km/h and 52 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 108+52=160 km/h. Time = 767/160 = 4.7938 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -487 mod 307"
},
{
"role": "assistant",
"content": "<reasoning>\n-487 mod 307: -487 = 307 × -2 + 127, so remainder = 127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 70 km/h. How far does it travel in 1 hours and 31 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 31/60 = 1.5167 hours. Distance = speed × time = 70 × 1.5167 = 106.1667 km.\n</reasoning>\nFinal Answer: 106.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 47 apples and buys 122 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 47 + 122 = 169.\n</reasoning>\nFinal Answer: 169"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 454 × 137"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 454 by 137: 454 × 137 = 62198.\n</reasoning>\nFinal Answer: 62198"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -968 × -176"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -968 by -176: -968 × -176 = 170368.\n</reasoning>\nFinal Answer: 170368"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 26 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 18+676-39=655.\n</reasoning>\nFinal Answer: 655"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -215 - 443"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 443 from -215: -215 - 443 = -658.\n</reasoning>\nFinal Answer: -658"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3102. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3102 × 18/100 = 558.36. Total = 3102 + 558.36 = 3660.36.\n</reasoning>\nFinal Answer: 3660.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -99 mod -714"
},
{
"role": "assistant",
"content": "<reasoning>\n-99 mod -714: -99 = -714 × 0 + -99, so remainder = -99.\n</reasoning>\nFinal Answer: -99"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 141 apples and buys 22 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 141 + 22 = 163.\n</reasoning>\nFinal Answer: 163"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 28, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 28 + 34 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [39, 20, 63, 2, 74, 32, 59, 75, 96, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 20, 32, 39, 59, 63, 74, 75, 77, 96]. Middle value(s) → median = 61.0.\n</reasoning>\nFinal Answer: 61.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mean of: [46, 98, 22, 71, 63, 95, 26, 32, 88, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 617/10 = 61.7.\n</reasoning>\nFinal Answer: 61.7"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 15/10 + 4/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/10 + 4/13. Common denominator = 26. Result = 47/26.\n</reasoning>\nFinal Answer: 47/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 53, 55, 23, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 154/5 = 30.8.\n</reasoning>\nFinal Answer: 30.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -11 = -83"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 6x = -72. Divide by 6: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -2 = -1452"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 29x = -1450. Divide by 29: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:8 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/8, so B = A × (8/31) = 42 × 8/31 = 10.8387.\n</reasoning>\nFinal Answer: 10.8387"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹127. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 127 × 12/100 = 15.24. Total = 127 + 15.24 = 142.24.\n</reasoning>\nFinal Answer: 142.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 28 * 13 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×13=364, then 3+364-10=357.\n</reasoning>\nFinal Answer: 357"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/2 * 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/2) × (10/10) = (40/20) = 2 after simplification.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 170 km/h. How far does it travel in 10 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 14/60 = 10.2333 hours. Distance = speed × time = 170 × 10.2333 = 1739.6667 km.\n</reasoning>\nFinal Answer: 1739.6667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 5, 7, 8, 9, 16] and B = [3, 5, 13, 15, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 2, 4, 7, 8, 9, 16].\n</reasoning>\nFinal Answer: [1, 2, 4, 7, 8, 9, 16]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 94 apples and buys 62 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 94 + 62 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 12, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (38-1)×12 = 18 + 444 = 462.\n</reasoning>\nFinal Answer: 462"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 15, 11 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (15+11) × 30 = 390.0.\n</reasoning>\nFinal Answer: 390.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [69, 31, 10, 59, 2, 76, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 310/7 = 44.2857.\n</reasoning>\nFinal Answer: 44.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹27497 at 5% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 27497 × 5 × 4 / 100 = 5499.4.\n</reasoning>\nFinal Answer: 5499.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 3, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (30-1)×3 = 40 + 87 = 127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -700 × 945"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -700 by 945: -700 × 945 = -661500.\n</reasoning>\nFinal Answer: -661500"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 20 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 20 × 25 = 250.0.\n</reasoning>\nFinal Answer: 250.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 1 = 301"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 15x = 300. Divide by 15: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 7 * 6 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 7×6=42, then 22+42-5=59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 72 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 72 × 21 = 1512.\n</reasoning>\nFinal Answer: 1512"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 12/3 + 3/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/3 + 3/4. Common denominator = 4. Result = 19/4.\n</reasoning>\nFinal Answer: 19/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "21 is what percentage of 158?"
},
{
"role": "assistant",
"content": "<reasoning>\n(21/158) × 100 = 13.2911%.\n</reasoning>\nFinal Answer: 13.2911%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 17 = -133"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 25x = -150. Divide by 25: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 16 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 9+256-31=234.\n</reasoning>\nFinal Answer: 234"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:18 and A = 95, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/18, so B = A × (18/20) = 95 × 18/20 = 85.5.\n</reasoning>\nFinal Answer: 85.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 62, 69, 15, 30, 27, 71, 17, 60]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 62: 1, 69: 1, 15: 1, 30: 1, 27: 1, 71: 1, 17: 1, 60: 1}. Most frequent: [18, 62, 69, 15, 30, 27, 71, 17, 60].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 53 and width 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 53 × 37 = 1961.\n</reasoning>\nFinal Answer: 1961"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 24, 40 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (24+40) × 4 = 128.0.\n</reasoning>\nFinal Answer: 128.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [78, 92, 31, 88, 74]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {78: 1, 92: 1, 31: 1, 88: 1, 74: 1}. Most frequent: [78, 92, 31, 88, 74].\n</reasoning>\nFinal Answer: [78, 92, 31, 88, 74]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 6, 11, 12, 16, 17, 18] and B = [2, 7, 8, 10, 14, 15, 17, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 6, 7, 8, 10, 11, 12, 14, 15, 16, 17, 18].\n</reasoning>\nFi... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 169 × 141"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 169 by 141: 169 × 141 = 23829.\n</reasoning>\nFinal Answer: 23829"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 296 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 296 × (1 + 30/100) = 296 × 1.3 = 384.8.\n</reasoning>\nFinal Answer: 384.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 20 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 20 × 62 = 1240.\n</reasoning>\nFinal Answer: 1240"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 14) * (13 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+14)=39, (13-16)=-3, then 39×-3=-117.\n</reasoning>\nFinal Answer: -117"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -400 - 686"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 686 from -400: -400 - 686 = -1086.\n</reasoning>\nFinal Answer: -1086"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 27 = 909"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 18x = 882. Divide by 18: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹4471. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4471 × 5/100 = 223.55. Total = 4471 + 223.55 = 4694.55.\n</reasoning>\nFinal Answer: 4694.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 812 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 812 × (1 - 70/100) = 812 × 0.30000000000000004 = 243.6.\n</reasoning>\nFinal Answer: 243.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 247 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 247 × (1 - 60/100) = 247 × 0.4 = 98.8.\n</reasoning>\nFinal Answer: 98.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 45 and width 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 45 × 62 = 2790.\n</reasoning>\nFinal Answer: 2790"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 139 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(139,29) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:10 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/10, so B = A × (10/50) = 31 × 10/50 = 6.2.\n</reasoning>\nFinal Answer: 6.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 9 * 22 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×22=198, then 17+198-45=170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 734 + -759"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 734 and -759: 734 + -759 = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 12/11 * 6/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/11) × (6/12) = (72/132) = 6/11 after simplification.\n</reasoning>\nFinal Answer: 6/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/1 - 14/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/1 - 14/17. LCD = 17. Result = 292/17.\n</reasoning>\nFinal Answer: 292/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 12, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (47-1)×12 = 45 + 552 = 597.\n</reasoning>\nFinal Answer: 597"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 50 = -700"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 30x = -750. Divide by 30: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -15 = 13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 7x = 28. Divide by 7: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 1 * 30 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 1×30=30, then 31+30-33=28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 388."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 388 by smallest primes repeatedly: 388 = 2 × 2 × 97.\n</reasoning>\nFinal Answer: 2 × 2 × 97"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 27 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 27 × 33 = 891.\n</reasoning>\nFinal Answer: 891"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -15 = -561"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 13x = -546. Divide by 13: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 9, 12, 15, 19] and B = [2, 6, 8, 12, 13, 15, 17, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 12, 15, 19].\n</reasoning>\nFinal Answer: [2, 12, 15, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -48 = -110"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 2x = -62. Divide by 2: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/10 / 13/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/10) ÷ (13/8) = (9/10) × (8/13) = 36/65.\n</reasoning>\nFinal Answer: 36/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 9) * (20 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+9)=25, (20-7)=13, then 25×13=325.\n</reasoning>\nFinal Answer: 325"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 44, 19, 99, 71, 67, 70, 61, 94, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 12 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -34 = 516"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 25x = 550. Divide by 25: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 11 and 181."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(11,181) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 7 + 18 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×7=259 and 18×12=216, then add: 475.\n</reasoning>\nFinal Answer: 475"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 596 mod -347"
},
{
"role": "assistant",
"content": "<reasoning>\n596 mod -347: 596 = -347 × -2 + -98, so remainder = -98.\n</reasoning>\nFinal Answer: -98"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:20 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/20, so B = A × (20/4) = 70 × 20/4 = 350.0.\n</reasoning>\nFinal Answer: 350.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 20% of 277?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 277 = (20/100) × 277 = 55.4.\n</reasoning>\nFinal Answer: 55.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 151 and 76."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(151,76) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 + 27 * 7 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 27×7=189, then 23+189-20=192.\n</reasoning>\nFinal Answer: 192"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 13 ** 2 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 13²=169, then 27+169-31=165.\n</reasoning>\nFinal Answer: 165"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 24 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 24²=576, then 44+576-48=572.\n</reasoning>\nFinal Answer: 572"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 256 ÷ 141"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 256 by 141. 256 ÷ 141 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 7/1 - 1/2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/1 - 1/2. LCD = 2. Result = 13/2.\n</reasoning>\nFinal Answer: 13/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -935 ÷ 776"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -935 by 776. -935 ÷ 776 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -15 = -367"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 16x = -352. Divide by 16: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 116 km/h. How far does it travel in 1 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 15/60 = 1.2500 hours. Distance = speed × time = 116 × 1.2500 = 145.0 km.\n</reasoning>\nFinal Answer: 145.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:37 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/37, so B = A × (37/1) = 62 × 37/1 = 2294.0.\n</reasoning>\nFinal Answer: 2294.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 41, 33 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (41+33) × 35 = 1295.0.\n</reasoning>\nFinal Answer: 1295.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -45 = 319"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 14x = 364. Divide by 14: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 46 and common difference 7, find the 49th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 46 + (49-1)×7 = 46 + 336 = 382.\n</reasoning>\nFinal Answer: 382"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [55, 32, 60, 87, 83, 73, 53, 96, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {55: 1, 32: 1, 60: 1, 87: 1, 83: 1, 73: 1, 53: 1, 96: 1, 7: 1}. Most frequent: [55, 32, 60, 87, 83, 73, 53, 96, 7].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -778 - 542"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 542 from -778: -778 - 542 = -1320.\n</reasoning>\nFinal Answer: -1320"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [78, 55, 29, 55, 89, 67, 51, 94, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [23, 29, 51, 55, 55, 67, 78, 89, 94]. Middle value(s) → median = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 * 33 + 27 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 1×33=33 and 27×5=135, then add: 168.\n</reasoning>\nFinal Answer: 168"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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