messages listlengths 2 2 | difficulty stringclasses 3 values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 18/10 / 14/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/10) ÷ (14/18) = (18/10) × (18/14) = 81/35.\n</reasoning>\nFinal Answer: 81/35"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹8426 at 4% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 8426 × 4 × 9 / 100 = 3033.36.\n</reasoning>\nFinal Answer: 3033.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 20 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 20 × 44 = 440.0.\n</reasoning>\nFinal Answer: 440.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 118 + -654"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 118 and -654: 118 + -654 = -536.\n</reasoning>\nFinal Answer: -536"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 87 and width 10."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(87+10) = 2×97 = 194.\n</reasoning>\nFinal Answer: 194"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -922 × -813"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -922 by -813: -922 × -813 = 749586.\n</reasoning>\nFinal Answer: 749586"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 93 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(93+57) = 2×150 = 300.\n</reasoning>\nFinal Answer: 300"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 17 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 17 = 153 worker-days. New time = 153 / 9 = 17.0 days.\n</reasoning>\nFinal Answer: 17.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 7 and common difference 2, find the 26th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 7 + (26-1)×2 = 7 + 50 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 924 ÷ 157"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 924 by 157. 924 ÷ 157 = 5 (integer division).\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -424 ÷ 871"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -424 by 871. -424 ÷ 871 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [48, 71, 45, 79, 76, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {48: 1, 71: 1, 45: 1, 79: 1, 76: 1, 10: 1}. Most frequent: [48, 71, 45, 79, 76, 10].\n</reasoning>\nFinal Answer: [48, 71, 45, 79, 76, 10]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 8 * 40 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×40=320, then 13+320-17=316.\n</reasoning>\nFinal Answer: 316"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 30 = 1059"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 21x = 1029. Divide by 21: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 30 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 30 × 27 = 405.0.\n</reasoning>\nFinal Answer: 405.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 745 × 138"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 745 by 138: 745 × 138 = 102810.\n</reasoning>\nFinal Answer: 102810"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2785. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2785 × 5/100 = 139.25. Total = 2785 + 139.25 = 2924.25.\n</reasoning>\nFinal Answer: 2924.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -75 mod -280"
},
{
"role": "assistant",
"content": "<reasoning>\n-75 mod -280: -75 = -280 × 0 + -75, so remainder = -75.\n</reasoning>\nFinal Answer: -75"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [7, 9, 17, 19] and B = [2, 3, 5, 6, 8, 10, 12, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 62 and width 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 62 × 28 = 1736.\n</reasoning>\nFinal Answer: 1736"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 82 and 45."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(82,45) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 10/16 / 8/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/16) ÷ (8/17) = (10/16) × (17/8) = 85/64.\n</reasoning>\nFinal Answer: 85/64"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [83, 77, 75, 87, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 414/5 = 82.8.\n</reasoning>\nFinal Answer: 82.8"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 28 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 33+784-25=792.\n</reasoning>\nFinal Answer: 792"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [88, 82, 8, 92, 67, 7, 29, 8, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 8, 8, 29, 67, 76, 82, 88, 92]. Middle value(s) → median = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the range of: [3, 62, 2, 88, 99, 1]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 1 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:36 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/36, so B = A × (36/1) = 19 × 36/1 = 684.0.\n</reasoning>\nFinal Answer: 684.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 + 35 ** 2 - 49"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 38+1225-49=1214.\n</reasoning>\nFinal Answer: 1214"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -746 mod 546"
},
{
"role": "assistant",
"content": "<reasoning>\n-746 mod 546: -746 = 546 × -2 + 346, so remainder = 346.\n</reasoning>\nFinal Answer: 346"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [14, 28, 42, 56, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 14 and common difference 14. Next term = 70 + 14 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [87, 16, 91, 22, 38, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {87: 1, 16: 1, 91: 1, 22: 1, 38: 1, 3: 1}. Most frequent: [87, 16, 91, 22, 38, 3].\n</reasoning>\nFinal Answer: [87, 16, 91, 22, 38, 3]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 14 ÷ 329"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 14 by 329. 14 ÷ 329 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:28 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/28, so B = A × (28/43) = 9 × 28/43 = 5.8605.\n</reasoning>\nFinal Answer: 5.8605"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 835 km apart. Their speeds are 92 km/h and 49 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 92+49=141 km/h. Time = 835/141 = 5.922 hours.\n</reasoning>\nFinal Answer:... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [11, 3, 89, 19, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {11: 1, 3: 1, 89: 1, 19: 1, 92: 1}. Most frequent: [11, 3, 89, 19, 92].\n</reasoning>\nFinal Answer: [11, 3, 89, 19, 92]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 353 mod 502"
},
{
"role": "assistant",
"content": "<reasoning>\n353 mod 502: 353 = 502 × 0 + 353, so remainder = 353.\n</reasoning>\nFinal Answer: 353"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 740 km apart. Their speeds are 72 km/h and 71 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 72+71=143 km/h. Time = 740/143 = 5.1748 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20992 at 11% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20992 × 11 × 2 / 100 = 4618.24.\n</reasoning>\nFinal Answer: 4618.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/1 * 7/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/1) × (7/11) = (56/11) = 56/11 after simplification.\n</reasoning>\nFinal Answer: 56/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/3 / 10/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/3) ÷ (10/10) = (6/3) × (10/10) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 116 km/h. How far does it travel in 11 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 49/60 = 11.8167 hours. Distance = speed × time = 116 × 11.8167 = 1370.7333 km.\n</reasoning>\nFinal Answer: 1370.7333"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 24 and common difference 9, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 24 + (33-1)×9 = 24 + 288 = 312.\n</reasoning>\nFinal Answer: 312"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -616 - -175"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -175 from -616: -616 - -175 = -441.\n</reasoning>\nFinal Answer: -441"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 65 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 65 × (1 - 45/100) = 65 × 0.55 = 35.75.\n</reasoning>\nFinal Answer: 35.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -188 ÷ -549"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -188 by -549. -188 ÷ -549 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4692. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4692 × 28/100 = 1313.76. Total = 4692 + 1313.76 = 6005.76.\n</reasoning>\nFinal Answer: 6005.76"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 90 apples and buys 170 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 90 + 170 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 27 = -345"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 12x = -372. Divide by 12: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -34 = 590"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 13x = 624. Divide by 13: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:16 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/16, so B = A × (16/3) = 69 × 16/3 = 368.0.\n</reasoning>\nFinal Answer: 368.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 264 ÷ 688"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 264 by 688. 264 ÷ 688 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [24, 57, 5, 27, 97, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 278/6 = 46.3333.\n</reasoning>\nFinal Answer: 46.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:41 and A = 87, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/41, so B = A × (41/26) = 87 × 41/26 = 137.1923.\n</reasoning>\nFinal Answer: 137.1923"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 35, 32 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (35+32) × 49 = 1641.5.\n</reasoning>\nFinal Answer: 1641.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [69, 40, 77, 79, 30, 66, 90, 51, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {69: 1, 40: 1, 77: 1, 79: 1, 30: 1, 66: 1, 90: 1, 51: 1, 99: 1}. Most frequent: [69, 40, 77, 79, 30, 66, 90, 51, 99].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 437 ÷ -631"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 437 by -631. 437 ÷ -631 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:11 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/11, so B = A × (11/10) = 13 × 11/10 = 14.3.\n</reasoning>\nFinal Answer: 14.3"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 687 + -376"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 687 and -376: 687 + -376 = 311.\n</reasoning>\nFinal Answer: 311"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 11 and common difference 12, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 11 + (14-1)×12 = 11 + 156 = 167.\n</reasoning>\nFinal Answer: 167"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 665 km apart. Their speeds are 56 km/h and 99 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 56+99=155 km/h. Time = 665/155 = 4.2903 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 120 and 134."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(120,134) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 138 × 235"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 138 by 235: 138 × 235 = 32430.\n</reasoning>\nFinal Answer: 32430"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -298 - 960"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 960 from -298: -298 - 960 = -1258.\n</reasoning>\nFinal Answer: -1258"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "55 is what percentage of 661?"
},
{
"role": "assistant",
"content": "<reasoning>\n(55/661) × 100 = 8.3207%.\n</reasoning>\nFinal Answer: 8.3207%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -50 = -715"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 19x = -665. Divide by 19: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 14 + 16 * 43"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×14=140 and 16×43=688, then add: 828.\n</reasoning>\nFinal Answer: 828"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 15 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 25+225-21=229.\n</reasoning>\nFinal Answer: 229"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 35% of 179?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 179 = (35/100) × 179 = 62.65.\n</reasoning>\nFinal Answer: 62.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 74 and height 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 74 × 81 = 5994.\n</reasoning>\nFinal Answer: 5994"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/3 / 2/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/3) ÷ (2/14) = (16/3) × (14/2) = 112/3.\n</reasoning>\nFinal Answer: 112/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 13 * 24 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×24=312, then 25+312-37=300.\n</reasoning>\nFinal Answer: 300"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 753 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 753 × (1 + 30/100) = 753 × 1.3 = 978.9.\n</reasoning>\nFinal Answer: 978.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -220 mod -735"
},
{
"role": "assistant",
"content": "<reasoning>\n-220 mod -735: -220 = -735 × 0 + -220, so remainder = -220.\n</reasoning>\nFinal Answer: -220"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 42 = -434"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 14x = -476. Divide by 14: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 30 ** 2 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 30²=900, then 42+900-44=898.\n</reasoning>\nFinal Answer: 898"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19901 at 3% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19901 × 3 × 3 / 100 = 1791.09.\n</reasoning>\nFinal Answer: 1791.09"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -296 ÷ -775"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -296 by -775. -296 ÷ -775 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 5, 19, and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 5 + 19 + 20 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 28 = 8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 4x = -20. Divide by 4: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 6, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (14-1)×6 = 48 + 78 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -219 × 942"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -219 by 942: -219 × 942 = -206298.\n</reasoning>\nFinal Answer: -206298"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 79 and width 92."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(79+92) = 2×171 = 342.\n</reasoning>\nFinal Answer: 342"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 16/11 * 3/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/11) × (3/5) = (48/55) = 48/55 after simplification.\n</reasoning>\nFinal Answer: 48/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -18 = 94"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 8x = 112. Divide by 8: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Is 152 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n152 = 2 × 76, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Calculate: -903 mod 829"
},
{
"role": "assistant",
"content": "<reasoning>\n-903 mod 829: -903 = 829 × -2 + 755, so remainder = 755.\n</reasoning>\nFinal Answer: 755"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "338 is what percentage of 358?"
},
{
"role": "assistant",
"content": "<reasoning>\n(338/358) × 100 = 94.4134%.\n</reasoning>\nFinal Answer: 94.4134%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 66 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(66+74) = 2×140 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 7, 10, 12, 14, 16] and B = [3, 4, 5, 7, 8, 9, 12], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [3, 7, 12].\n</reasoning>\nFinal Answer: [3, 7, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 475 - -4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from 475: 475 - -4 = 479.\n</reasoning>\nFinal Answer: 479"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [42, 19, 2, 95, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 2 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:34 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/34, so B = A × (34/49) = 50 × 34/49 = 34.6939.\n</reasoning>\nFinal Answer: 34.6939"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹3681. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3681 × 28/100 = 1030.68. Total = 3681 + 1030.68 = 4711.68.\n</reasoning>\nFinal Answer: 4711.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -49 = 77"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 7x = 126. Divide by 7: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 209 × -421"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 209 by -421: 209 × -421 = -87989.\n</reasoning>\nFinal Answer: -87989"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 737 + 13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 737 and 13: 737 + 13 = 750.\n</reasoning>\nFinal Answer: 750"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 78 - -167"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -167 from 78: 78 - -167 = 245.\n</reasoning>\nFinal Answer: 245"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 604 mod -627"
},
{
"role": "assistant",
"content": "<reasoning>\n604 mod -627: 604 = -627 × -1 + -23, so remainder = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [22, 81, 31, 21, 36, 30, 38, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 21 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mean of: [35, 46, 4, 2, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 138/5 = 27.6.\n</reasoning>\nFinal Answer: 27.6"
}
] | easy | [
"statistics",
"mean"
] |
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