messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "16 workers can complete a job in 27 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 27 = 432 worker-days. New time = 432 / 16 = 27.0 days.\n</reasoning>\nFinal Answer: 27.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:20 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/20, so B = A × (20/11) = 86 × 20/11 = 156.3636.\n</reasoning>\nFinal Answer: 156.3636"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 8 apples and buys 184 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 8 + 184 = 192.\n</reasoning>\nFinal Answer: 192"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 24 = 144"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 6x = 120. Divide by 6: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 * 3 + 3 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 28×3=84 and 3×38=114, then add: 198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:35 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/35, so B = A × (35/28) = 9 × 35/28 = 11.25.\n</reasoning>\nFinal Answer: 11.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 78 ÷ -80"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 78 by -80. 78 ÷ -80 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 33, 34 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (33+34) × 9 = 301.5.\n</reasoning>\nFinal Answer: 301.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 * 22 + 17 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 11×22=242 and 17×4=68, then add: 310.\n</reasoning>\nFinal Answer: 310"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 51 and 141."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(51,141) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31837 at 17% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31837 × 17 × 2 / 100 = 10824.58.\n</reasoning>\nFinal Answer: 10824.58"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:29 and A = 77, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/29, so B = A × (29/6) = 77 × 29/6 = 372.1667.\n</reasoning>\nFinal Answer: 372.1667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [100, 77, 94, 1, 31, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 374/6 = 62.3333.\n</reasoning>\nFinal Answer: 62.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 16 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+16) × 40 = 820.0.\n</reasoning>\nFinal Answer: 820.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:28 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/28, so B = A × (28/38) = 52 × 28/38 = 38.3158.\n</reasoning>\nFinal Answer: 38.3158"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 119 apples and buys 51 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 119 + 51 = 170.\n</reasoning>\nFinal Answer: 170"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/5 - 10/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/5 - 10/9. LCD = 45. Result = -23/45.\n</reasoning>\nFinal Answer: -23/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 92 and width 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 92 × 88 = 8096.\n</reasoning>\nFinal Answer: 8096"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 719 + 385"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 719 and 385: 719 + 385 = 1104.\n</reasoning>\nFinal Answer: 1104"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [3, 48, 23, 60, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 23, 48, 60, 66]. Middle value(s) → median = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "24 is what percentage of 89?"
},
{
"role": "assistant",
"content": "<reasoning>\n(24/89) × 100 = 26.9663%.\n</reasoning>\nFinal Answer: 26.9663%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -730 mod -337"
},
{
"role": "assistant",
"content": "<reasoning>\n-730 mod -337: -730 = -337 × 2 + -56, so remainder = -56.\n</reasoning>\nFinal Answer: -56"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35605 at 14% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35605 × 14 × 3 / 100 = 14954.1.\n</reasoning>\nFinal Answer: 14954.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 17, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (26-1)×17 = 24 + 425 = 449.\n</reasoning>\nFinal Answer: 449"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 8/20 / 9/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (8/20) ÷ (9/12) = (8/20) × (12/9) = 8/15.\n</reasoning>\nFinal Answer: 8/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 21 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 21²=441, then 9+441-45=405.\n</reasoning>\nFinal Answer: 405"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 16, 18] and B = [1, 2, 11, 13, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 11, 13, 16, 17, 18, 19].\n</reasoning>\nFinal Answer: [1, 2, 11, 13, 16, 17, 18, 19]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 9 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+9) × 5 = 35.0.\n</reasoning>\nFinal Answer: 35.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:40 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/40, so B = A × (40/13) = 37 × 40/13 = 113.8462.\n</reasoning>\nFinal Answer: 113.8462"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [71, 33, 53, 58, 9, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [9, 33, 53, 58, 71, 79]. Middle value(s) → median = 55.5.\n</reasoning>\nFinal Answer: 55.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:12 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/12, so B = A × (12/1) = 66 × 12/1 = 792.0.\n</reasoning>\nFinal Answer: 792.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -112 + 59"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -112 and 59: -112 + 59 = -53.\n</reasoning>\nFinal Answer: -53"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -2 = -32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -2 from both sides: 1x = -30. Divide by 1: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 118 apples and buys 7 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 118 + 7 = 125.\n</reasoning>\nFinal Answer: 125"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -632 - 78"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 78 from -632: -632 - 78 = -710.\n</reasoning>\nFinal Answer: -710"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 48 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 48 × 38 = 1824.\n</reasoning>\nFinal Answer: 1824"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -695 - -455"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -455 from -695: -695 - -455 = -240.\n</reasoning>\nFinal Answer: -240"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 44 km/h. How far does it travel in 1 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 50/60 = 1.8333 hours. Distance = speed × time = 44 × 1.8333 = 80.6667 km.\n</reasoning>\nFinal Answer: 80.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [29, 19, 6, 65, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 19, 29, 65, 86]. Middle value(s) → median = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 3/13 / 10/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/13) ÷ (10/16) = (3/13) × (16/10) = 24/65.\n</reasoning>\nFinal Answer: 24/65"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -940 mod 29"
},
{
"role": "assistant",
"content": "<reasoning>\n-940 mod 29: -940 = 29 × -33 + 17, so remainder = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 26 ** 2 - 28"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 27+676-28=675.\n</reasoning>\nFinal Answer: 675"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [38, 22, 54, 8, 68, 41, 81, 53, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {38: 1, 22: 1, 54: 1, 8: 1, 68: 1, 41: 1, 81: 1, 53: 1, 11: 1}. Most frequent: [38, 22, 54, 8, 68, 41, 81, 53, 11].\n</reasoning>\nFinal Answ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 12/4 - 13/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/4 - 13/4. LCD = 4. Result = -1/4.\n</reasoning>\nFinal Answer: -1/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 27) * (45 - 23)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+27)=59, (45-23)=22, then 59×22=1298.\n</reasoning>\nFinal Answer: 1298"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [61, 3, 87, 64, 77, 66, 36, 87, 85]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 36, 61, 64, 66, 77, 85, 87, 87]. Middle value(s) → median = 66.\n</reasoning>\nFinal Answer: 66"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 37 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 47+1369-3=1413.\n</reasoning>\nFinal Answer: 1413"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 71 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 71 × 37 = 1313.5.\n</reasoning>\nFinal Answer: 1313.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 93 and width 68."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(93+68) = 2×161 = 322.\n</reasoning>\nFinal Answer: 322"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 375 mod 738"
},
{
"role": "assistant",
"content": "<reasoning>\n375 mod 738: 375 = 738 × 0 + 375, so remainder = 375.\n</reasoning>\nFinal Answer: 375"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 20 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+20) × 38 = 608.0.\n</reasoning>\nFinal Answer: 608.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -157 + 847"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -157 and 847: -157 + 847 = 690.\n</reasoning>\nFinal Answer: 690"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 30 = -208"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 17x = -238. Divide by 17: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23017 at 17% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23017 × 17 × 7 / 100 = 27390.23.\n</reasoning>\nFinal Answer: 27390.23"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/9 * 10/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/9) × (10/6) = (30/54) = 5/9 after simplification.\n</reasoning>\nFinal Answer: 5/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 2 and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (2×14)/2 = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the mean of: [60, 75, 15, 23, 45, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 288/6 = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 37 = -379"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 16x = -416. Divide by 16: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "14 workers can complete a job in 8 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 14 × 8 = 112 worker-days. New time = 112 / 13 = 8.6154 days.\n</reasoning>\nFinal Answer: 8.6154"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:27 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/27, so B = A × (27/20) = 13 × 27/20 = 17.55.\n</reasoning>\nFinal Answer: 17.55"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:7 and A = 1, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/7, so B = A × (7/24) = 1 × 7/24 = 0.2917.\n</reasoning>\nFinal Answer: 0.2917"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [6, 10, 13, 14, 16] and B = [2, 5, 6, 9, 11, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 5, 6, 9, 10, 11, 13, 14, 15, 16].\n</reasoning>\nFinal Answer: [2, 5, 6, 9, 10, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -8 = -96"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 8x = -88. Divide by 8: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/19 - 12/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/19 - 12/17. LCD = 323. Result = -41/323.\n</reasoning>\nFinal Answer: -41/323"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 17 = 899"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 21x = 882. Divide by 21: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 221 × -41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 221 by -41: 221 × -41 = -9061.\n</reasoning>\nFinal Answer: -9061"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 105 km/h. How far does it travel in 3 hours and 14 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 14/60 = 3.2333 hours. Distance = speed × time = 105 × 3.2333 = 339.5 km.\n</reasoning>\nFinal Answer: 339.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "202 is what percentage of 317?"
},
{
"role": "assistant",
"content": "<reasoning>\n(202/317) × 100 = 63.7224%.\n</reasoning>\nFinal Answer: 63.7224%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -38 = -81"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 1x = -43. Divide by 1: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (24)x + (72) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 24² - 4×2×72 = 0. √discriminant = 0. x = (-(24) ± 0) / (2×2). Solutions: x = -6 (double root).\n</reasoning>\nFinal Answer: x = -6 (double root)... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 65 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 65 × 12 = 780.\n</reasoning>\nFinal Answer: 780"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -883 mod 269"
},
{
"role": "assistant",
"content": "<reasoning>\n-883 mod 269: -883 = 269 × -4 + 193, so remainder = 193.\n</reasoning>\nFinal Answer: 193"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -28 = 726"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 29x = 754. Divide by 29: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:44 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/44, so B = A × (44/36) = 78 × 44/36 = 95.3333.\n</reasoning>\nFinal Answer: 95.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -11 = 613"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 16x = 624. Divide by 16: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 4 = -1214"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 29x = -1218. Divide by 29: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 21 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 21 × 27 = 283.5.\n</reasoning>\nFinal Answer: 283.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "338 is what percentage of 712?"
},
{
"role": "assistant",
"content": "<reasoning>\n(338/712) × 100 = 47.4719%.\n</reasoning>\nFinal Answer: 47.4719%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [34, 37, 40, 43, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 34 and common difference 3. Next term = 46 + 3 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 10/2 / 11/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/2) ÷ (11/3) = (10/2) × (3/11) = 15/11.\n</reasoning>\nFinal Answer: 15/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 47 and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (47×25)/1 = 1175.\n</reasoning>\nFinal Answer: 1175"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 18/14 - 20/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/14 - 20/7. LCD = 7. Result = -11/7.\n</reasoning>\nFinal Answer: -11/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 22 = 332"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 10x = 310. Divide by 10: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 26 = -214"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 20x = -240. Divide by 20: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 5 and common difference 15, find the 42th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 5 + (42-1)×15 = 5 + 615 = 620.\n</reasoning>\nFinal Answer: 620"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -9 = 409"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 11x = 418. Divide by 11: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 48 * 35 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 48×35=1680, then 1+1680-31=1650.\n</reasoning>\nFinal Answer: 1650"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 209 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 209 × (1 - 12/100) = 209 × 0.88 = 183.92.\n</reasoning>\nFinal Answer: 183.92"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 12 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 12 × 13 = 78.0.\n</reasoning>\nFinal Answer: 78.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 59 and 140."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(59,140) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Ravi has 26 apples and buys 62 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 26 + 62 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 30, 10 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (30+10) × 12 = 240.0.\n</reasoning>\nFinal Answer: 240.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 200 km/h. How far does it travel in 7 hours and 21 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 21/60 = 7.3500 hours. Distance = speed × time = 200 × 7.3500 = 1470.0 km.\n</reasoning>\nFinal Answer: 1470.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 220 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 220 × (1 + 65/100) = 220 × 1.65 = 363.0.\n</reasoning>\nFinal Answer: 363.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 37 and common difference 13, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 37 + (41-1)×13 = 37 + 520 = 557.\n</reasoning>\nFinal Answer: 557"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 185 apples and buys 37 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 185 + 37 = 222.\n</reasoning>\nFinal Answer: 222"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 29) * (22 - 7)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+29)=42, (22-7)=15, then 42×15=630.\n</reasoning>\nFinal Answer: 630"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 577 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 577 × (1 + 25/100) = 577 × 1.25 = 721.25.\n</reasoning>\nFinal Answer: 721.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 45) * (45 - 11)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+45)=53, (45-11)=34, then 53×34=1802.\n</reasoning>\nFinal Answer: 1802"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -19 = 11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 3x = 30. Divide by 3: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
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