messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 20% of 438?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 438 = (20/100) × 438 = 87.6.\n</reasoning>\nFinal Answer: 87.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 34 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 41+1156-41=1156.\n</reasoning>\nFinal Answer: 1156"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (47 + 16) * (3 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (47+16)=63, (3-44)=-41, then 63×-41=-2583.\n</reasoning>\nFinal Answer: -2583"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [62, 19, 82, 96, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 8 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 23 days. How many days will 8 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 23 = 460 worker-days. New time = 460 / 8 = 57.5 days.\n</reasoning>\nFinal Answer: 57.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 30 + 14 * 31"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×30=390 and 14×31=434, then add: 824.\n</reasoning>\nFinal Answer: 824"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 * 36 + 48 * 25"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 49×36=1764 and 48×25=1200, then add: 2964.\n</reasoning>\nFinal Answer: 2964"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 85 apples and buys 150 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 85 + 150 = 235.\n</reasoning>\nFinal Answer: 235"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [80, 41, 82, 26, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 26, 41, 80, 82]. Middle value(s) → median = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 70% of 148?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 148 = (70/100) × 148 = 103.6.\n</reasoning>\nFinal Answer: 103.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/12 + 9/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/12 + 9/13. Common denominator = 78. Result = 119/78.\n</reasoning>\nFinal Answer: 119/78"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 9, 13, 15, 19] and B = [4, 5, 7, 9], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5, 7, 9].\n</reasoning>\nFinal Answer: [5, 7, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 113 km/h. How far does it travel in 9 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 49/60 = 9.8167 hours. Distance = speed × time = 113 × 9.8167 = 1109.2833 km.\n</reasoning>\nFinal Answer: 1109.2833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -768 ÷ -987"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -768 by -987. -768 ÷ -987 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -178 ÷ -547"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -178 by -547. -178 ÷ -547 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [43, 85, 17, 24, 17, 47, 91, 18, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [17, 17, 18, 24, 43, 47, 85, 86, 91]. Middle value(s) → median = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 4/3 + 16/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/3 + 16/20. Common denominator = 15. Result = 32/15.\n</reasoning>\nFinal Answer: 32/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 46 ** 2 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 9+2116-29=2096.\n</reasoning>\nFinal Answer: 2096"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 44, 36 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (44+36) × 40 = 1600.0.\n</reasoning>\nFinal Answer: 1600.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 22 * 9 - 29"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 22×9=198, then 33+198-29=202.\n</reasoning>\nFinal Answer: 202"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -188 + 556"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -188 and 556: -188 + 556 = 368.\n</reasoning>\nFinal Answer: 368"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 971 ÷ -666"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 971 by -666. 971 ÷ -666 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 42 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+42) × 9 = 283.5.\n</reasoning>\nFinal Answer: 283.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 159 km apart. Their speeds are 88 km/h and 72 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 88+72=160 km/h. Time = 159/160 = 0.9938 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 71 and height 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 71 × 98 = 6958.\n</reasoning>\nFinal Answer: 6958"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [49, 59, 69, 79, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 49 and common difference 10. Next term = 89 + 10 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:41 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/41, so B = A × (41/37) = 8 × 41/37 = 8.8649.\n</reasoning>\nFinal Answer: 8.8649"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 4 = 604"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 15x = 600. Divide by 15: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 813 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 813 × (1 + 5/100) = 813 × 1.05 = 853.65.\n</reasoning>\nFinal Answer: 853.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:2 and A = 93, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/2, so B = A × (2/25) = 93 × 2/25 = 7.44.\n</reasoning>\nFinal Answer: 7.44"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 339 - 698"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 698 from 339: 339 - 698 = -359.\n</reasoning>\nFinal Answer: -359"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "62 is what percentage of 165?"
},
{
"role": "assistant",
"content": "<reasoning>\n(62/165) × 100 = 37.5758%.\n</reasoning>\nFinal Answer: 37.5758%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 15 and common difference 18, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 15 + (22-1)×18 = 15 + 378 = 393.\n</reasoning>\nFinal Answer: 393"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -183 mod 81"
},
{
"role": "assistant",
"content": "<reasoning>\n-183 mod 81: -183 = 81 × -3 + 60, so remainder = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-9)x + (-120) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -9² - 4×3×-120 = 1521. √discriminant = 39. x = (-(-9) ± 39) / (2×3). Solutions: x = -5 or x = 8.\n</reasoning>\nFinal Answer: x = -5 or x = 8"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 989 ÷ 910"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 989 by 910. 989 ÷ 910 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 48 and height 78."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 48 × 78 = 1872.0.\n</reasoning>\nFinal Answer: 1872.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 27 and 17."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (27×17)/1 = 459.\n</reasoning>\nFinal Answer: 459"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 9, 10, 11, 13, 18] and B = [2, 3, 7, 14], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3].\n</reasoning>\nFinal Answer: [3]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 3/7 - 13/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/7 - 13/8. LCD = 56. Result = -67/56.\n</reasoning>\nFinal Answer: -67/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 88 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 88 × 93 = 4092.0.\n</reasoning>\nFinal Answer: 4092.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 384 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 384 × (1 - 65/100) = 384 × 0.35 = 134.4.\n</reasoning>\nFinal Answer: 134.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 91 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(91+60) = 2×151 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 * 20 + 12 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 36×20=720 and 12×9=108, then add: 828.\n</reasoning>\nFinal Answer: 828"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -226 + -125"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -226 and -125: -226 + -125 = -351.\n</reasoning>\nFinal Answer: -351"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 44 and width 60."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(44+60) = 2×104 = 208.\n</reasoning>\nFinal Answer: 208"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 38 + 410"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 38 and 410: 38 + 410 = 448.\n</reasoning>\nFinal Answer: 448"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:40 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/40, so B = A × (40/25) = 76 × 40/25 = 121.6.\n</reasoning>\nFinal Answer: 121.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29474 at 13% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29474 × 13 × 10 / 100 = 38316.2.\n</reasoning>\nFinal Answer: 38316.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -70 - 102"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 102 from -70: -70 - 102 = -172.\n</reasoning>\nFinal Answer: -172"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-17)x + (72) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -17² - 4×1×72 = 1. √discriminant = 1. x = (-(-17) ± 1) / (2×1). Solutions: x = 9 or x = 8.\n</reasoning>\nFinal Answer: x = 9 or x = 8"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -44 = 130"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 29x = 174. Divide by 29: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -683 ÷ 772"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -683 by 772. -683 ÷ 772 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [88, 42, 58, 83, 68, 95, 43, 31, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 19 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 456 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 456 × (1 - 17/100) = 456 × 0.83 = 378.48.\n</reasoning>\nFinal Answer: 378.48"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 10 * 8 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×8=80, then 16+80-16=80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 23 = 623"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 30x = 600. Divide by 30: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 48 and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (48×35)/1 = 1680.\n</reasoning>\nFinal Answer: 1680"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49677 at 2% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49677 × 2 × 3 / 100 = 2980.62.\n</reasoning>\nFinal Answer: 2980.62"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 567 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 50%: 567 × (1 - 50/100) = 567 × 0.5 = 283.5.\n</reasoning>\nFinal Answer: 283.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "List all positive factors of 5."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 5: factors are [1, 5].\n</reasoning>\nFinal Answer: [1, 5]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:48 and A = 90, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/48, so B = A × (48/33) = 90 × 48/33 = 130.9091.\n</reasoning>\nFinal Answer: 130.9091"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 16 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 16 = 48 worker-days. New time = 48 / 12 = 4.0 days.\n</reasoning>\nFinal Answer: 4.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 921 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 921 × (1 + 30/100) = 921 × 1.3 = 1197.3.\n</reasoning>\nFinal Answer: 1197.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -844 mod -185"
},
{
"role": "assistant",
"content": "<reasoning>\n-844 mod -185: -844 = -185 × 4 + -104, so remainder = -104.\n</reasoning>\nFinal Answer: -104"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a square with side 49."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 4 × side = 4 × 49 = 196.\n</reasoning>\nFinal Answer: 196"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [85, 82, 96, 70, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [48, 70, 82, 85, 96]. Middle value(s) → median = 82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 272 mod -736"
},
{
"role": "assistant",
"content": "<reasoning>\n272 mod -736: 272 = -736 × -1 + -464, so remainder = -464.\n</reasoning>\nFinal Answer: -464"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 74 apples and buys 82 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 74 + 82 = 156.\n</reasoning>\nFinal Answer: 156"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [36, 39, 42, 45, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 36 and common difference 3. Next term = 48 + 3 = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "8 workers can complete a job in 27 days. How many days will 12 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 8 × 27 = 216 worker-days. New time = 216 / 12 = 18.0 days.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 24 and 120."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(24,120) = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19171 at 13% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19171 × 13 × 3 / 100 = 7476.69.\n</reasoning>\nFinal Answer: 7476.69"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/10 + 17/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/10 + 17/20. Common denominator = 20. Result = 39/20.\n</reasoning>\nFinal Answer: 39/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 103 mod -882"
},
{
"role": "assistant",
"content": "<reasoning>\n103 mod -882: 103 = -882 × -1 + -779, so remainder = -779.\n</reasoning>\nFinal Answer: -779"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 15 * 37 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 15×37=555, then 39+555-5=589.\n</reasoning>\nFinal Answer: 589"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 223 - -64"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -64 from 223: 223 - -64 = 287.\n</reasoning>\nFinal Answer: 287"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -775 × -310"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -775 by -310: -775 × -310 = 240250.\n</reasoning>\nFinal Answer: 240250"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 * 47 + 35 * 18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 13×47=611 and 35×18=630, then add: 1241.\n</reasoning>\nFinal Answer: 1241"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:40 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/40, so B = A × (40/20) = 25 × 40/20 = 50.0.\n</reasoning>\nFinal Answer: 50.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 204."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 204 by smallest primes repeatedly: 204 = 2 × 2 × 3 × 17.\n</reasoning>\nFinal Answer: 2 × 2 × 3 × 17"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the median of: [46, 41, 15, 11, 74, 43, 81, 18, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 15, 18, 26, 41, 43, 46, 74, 81]. Middle value(s) → median = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [7, 8, 9, 10, 16] and B = [1, 6, 8, 9, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 6, 7, 10, 16, 17, 19].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 418 + -439"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 418 and -439: 418 + -439 = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 18) * (2 - 19)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+18)=41, (2-19)=-17, then 41×-17=-697.\n</reasoning>\nFinal Answer: -697"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 25% of 428?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 428 = (25/100) × 428 = 107.0.\n</reasoning>\nFinal Answer: 107.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:22 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/22, so B = A × (22/43) = 32 × 22/43 = 16.3721.\n</reasoning>\nFinal Answer: 16.3721"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -36 = 260"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 8x = 296. Divide by 8: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 541 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 541 × (1 + 60/100) = 541 × 1.6 = 865.6.\n</reasoning>\nFinal Answer: 865.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 12 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 12 = 228 worker-days. New time = 228 / 18 = 12.6667 days.\n</reasoning>\nFinal Answer: 12.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "97 is what percentage of 777?"
},
{
"role": "assistant",
"content": "<reasoning>\n(97/777) × 100 = 12.4839%.\n</reasoning>\nFinal Answer: 12.4839%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 290 - 568"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 568 from 290: 290 - 568 = -278.\n</reasoning>\nFinal Answer: -278"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "344 is what percentage of 407?"
},
{
"role": "assistant",
"content": "<reasoning>\n(344/407) × 100 = 84.5209%.\n</reasoning>\nFinal Answer: 84.5209%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 245 km apart. Their speeds are 69 km/h and 93 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 69+93=162 km/h. Time = 245/162 = 1.5123 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 103 km/h. How far does it travel in 11 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 55/60 = 11.9167 hours. Distance = speed × time = 103 × 11.9167 = 1227.4167 km.\n</reasoning>\nFinal Answer: 1227.4167"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 27 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(27+11) = 2×38 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 40 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 40 × 50 = 1000.0.\n</reasoning>\nFinal Answer: 1000.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 225 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 225 × (1 - 45/100) = 225 × 0.55 = 123.75.\n</reasoning>\nFinal Answer: 123.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 18 + 42 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×18=684 and 42×16=672, then add: 1356.\n</reasoning>\nFinal Answer: 1356"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [91, 96, 67, 91, 30, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {91: 2, 96: 1, 67: 1, 30: 1, 73: 1}. Most frequent: 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"mode"
] |
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