messages listlengths 2 2 | difficulty stringclasses 3 values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 149 mod -173"
},
{
"role": "assistant",
"content": "<reasoning>\n149 mod -173: 149 = -173 × -1 + -24, so remainder = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 31 = -627"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 14x = -658. Divide by 14: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 112 km/h. How far does it travel in 11 hours and 9 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 9/60 = 11.1500 hours. Distance = speed × time = 112 × 11.1500 = 1248.8 km.\n</reasoning>\nFinal Answer: 1248.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:21 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/21, so B = A × (21/29) = 70 × 21/29 = 50.6897.\n</reasoning>\nFinal Answer: 50.6897"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/17 / 16/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/17) ÷ (16/1) = (5/17) × (1/16) = 5/272.\n</reasoning>\nFinal Answer: 5/272"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:8 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/8, so B = A × (8/40) = 52 × 8/40 = 10.4.\n</reasoning>\nFinal Answer: 10.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -548 × -626"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -548 by -626: -548 × -626 = 343048.\n</reasoning>\nFinal Answer: 343048"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/10 - 6/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/10 - 6/12. LCD = 10. Result = -2/5.\n</reasoning>\nFinal Answer: -2/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹36211 at 4% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 36211 × 4 × 3 / 100 = 4345.32.\n</reasoning>\nFinal Answer: 4345.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 504 × -318"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 504 by -318: 504 × -318 = -160272.\n</reasoning>\nFinal Answer: -160272"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹3815. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3815 × 18/100 = 686.7. Total = 3815 + 686.7 = 4501.7.\n</reasoning>\nFinal Answer: 4501.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -61 mod 298"
},
{
"role": "assistant",
"content": "<reasoning>\n-61 mod 298: -61 = 298 × -1 + 237, so remainder = 237.\n</reasoning>\nFinal Answer: 237"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -3 × -314"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -3 by -314: -3 × -314 = 942.\n</reasoning>\nFinal Answer: 942"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 1 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+1) × 35 = 385.0.\n</reasoning>\nFinal Answer: 385.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -44 = -247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 7x = -203. Divide by 7: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 20% of 257?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 257 = (20/100) × 257 = 51.4.\n</reasoning>\nFinal Answer: 51.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -960 + 541"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -960 and 541: -960 + 541 = -419.\n</reasoning>\nFinal Answer: -419"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [55, 4, 59, 55, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 268/5 = 53.6.\n</reasoning>\nFinal Answer: 53.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 214 ÷ 714"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 214 by 714. 214 ÷ 714 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -436 - -222"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -222 from -436: -436 - -222 = -214.\n</reasoning>\nFinal Answer: -214"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "45 is what percentage of 213?"
},
{
"role": "assistant",
"content": "<reasoning>\n(45/213) × 100 = 21.1268%.\n</reasoning>\nFinal Answer: 21.1268%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "An item costs ₹1202. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1202 × 5/100 = 60.1. Total = 1202 + 60.1 = 1262.1.\n</reasoning>\nFinal Answer: 1262.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 9 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 9 × 16 = 72.0.\n</reasoning>\nFinal Answer: 72.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -42 = -399"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 21x = -357. Divide by 21: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 * 47 + 35 * 41"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 12×47=564 and 35×41=1435, then add: 1999.\n</reasoning>\nFinal Answer: 1999"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 35 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 35 × 23 = 805.\n</reasoning>\nFinal Answer: 805"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [79, 65, 25, 31, 46, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 25, 31, 46, 65, 79]. Middle value(s) → median = 38.5.\n</reasoning>\nFinal Answer: 38.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 29 and width 51."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(29+51) = 2×80 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 10) * (21 - 45)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+10)=48, (21-45)=-24, then 48×-24=-1152.\n</reasoning>\nFinal Answer: -1152"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 7, 8, 11, 13, 19] and B = [2, 8, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [2, 8].\n</reasoning>\nFinal Answer: [2, 8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 313 mod 566"
},
{
"role": "assistant",
"content": "<reasoning>\n313 mod 566: 313 = 566 × 0 + 313, so remainder = 313.\n</reasoning>\nFinal Answer: 313"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 33 = -575"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 19x = -608. Divide by 19: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 * 42 + 6 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 31×42=1302 and 6×14=84, then add: 1386.\n</reasoning>\nFinal Answer: 1386"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 / 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/12) ÷ (19/10) = (11/12) × (10/19) = 55/114.\n</reasoning>\nFinal Answer: 55/114"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16440 at 7% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16440 × 7 × 4 / 100 = 4603.2.\n</reasoning>\nFinal Answer: 4603.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -159 + 805"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -159 and 805: -159 + 805 = 646.\n</reasoning>\nFinal Answer: 646"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 124 ÷ -883"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 124 by -883. 124 ÷ -883 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -519 mod -434"
},
{
"role": "assistant",
"content": "<reasoning>\n-519 mod -434: -519 = -434 × 1 + -85, so remainder = -85.\n</reasoning>\nFinal Answer: -85"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 19, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (32-1)×19 = 22 + 589 = 611.\n</reasoning>\nFinal Answer: 611"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -1 = 485"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 18x = 486. Divide by 18: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [71, 74, 85, 27, 99, 88, 68, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 545/8 = 68.125.\n</reasoning>\nFinal Answer: 68.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [10, 30, 50, 70, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 10 and common difference 20. Next term = 90 + 20 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 96 and 141."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(96,141) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 1/12 * 8/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/12) × (8/16) = (8/192) = 1/24 after simplification.\n</reasoning>\nFinal Answer: 1/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 9 = -81"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 6x = -90. Divide by 6: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 154 apples and buys 10 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 154 + 10 = 164.\n</reasoning>\nFinal Answer: 164"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 339 - 517"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 517 from 339: 339 - 517 = -178.\n</reasoning>\nFinal Answer: -178"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [83, 43, 63, 45, 66, 75, 98, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {83: 1, 43: 1, 63: 1, 45: 1, 66: 1, 75: 1, 98: 1, 46: 1}. Most frequent: [83, 43, 63, 45, 66, 75, 98, 46].\n</reasoning>\nFinal Answer: [83, 43,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [43, 62, 81, 100, 119]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 43 and common difference 19. Next term = 119 + 19 = 138.\n</reasoning>\nFinal Answer: 138"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:41 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/41, so B = A × (41/19) = 75 × 41/19 = 161.8421.\n</reasoning>\nFinal Answer: 161.8421"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [86, 8, 47, 51, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 47, 51, 69, 86]. Middle value(s) → median = 51.\n</reasoning>\nFinal Answer: 51"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 4 * 30 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×30=120, then 46+120-22=144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 62 apples and buys 84 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 62 + 84 = 146.\n</reasoning>\nFinal Answer: 146"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 25 * 5 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 25×5=125, then 22+125-39=108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 94 and width 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 94 × 11 = 1034.\n</reasoning>\nFinal Answer: 1034"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 25 + 8 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×25=450 and 8×36=288, then add: 738.\n</reasoning>\nFinal Answer: 738"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 8, 10, 11, 12, 16, 17] and B = [6, 7, 10, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [10, 16].\n</reasoning>\nFinal Answer: [10, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [4, 12, 15, 16] and B = [1, 6, 7, 10, 16, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 12, 15].\n</reasoning>\nFinal Answer: [4, 12, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 12, 20 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (12+20) × 24 = 384.0.\n</reasoning>\nFinal Answer: 384.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 44) * (40 - 25)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+44)=76, (40-25)=15, then 76×15=1140.\n</reasoning>\nFinal Answer: 1140"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 123 km/h. How far does it travel in 11 hours and 1 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 1/60 = 11.0167 hours. Distance = speed × time = 123 × 11.0167 = 1355.05 km.\n</reasoning>\nFinal Answer: 1355.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -374 ÷ 2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -374 by 2. -374 ÷ 2 = -187 (integer division).\n</reasoning>\nFinal Answer: -187"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/9 / 8/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (18/9) ÷ (8/12) = (18/9) × (12/8) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 44 and width 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 44 × 4 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 65 and width 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(65+38) = 2×103 = 206.\n</reasoning>\nFinal Answer: 206"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 27 ÷ -93"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 27 by -93. 27 ÷ -93 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:27 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/27, so B = A × (27/17) = 27 × 27/17 = 42.8824.\n</reasoning>\nFinal Answer: 42.8824"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 100% of 943?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 943 = (100/100) × 943 = 943.0.\n</reasoning>\nFinal Answer: 943.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [72, 61, 64, 94, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {72: 1, 61: 1, 64: 1, 94: 1, 78: 1}. Most frequent: [72, 61, 64, 94, 78].\n</reasoning>\nFinal Answer: [72, 61, 64, 94, 78]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 2/18 * 16/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/18) × (16/13) = (32/234) = 16/117 after simplification.\n</reasoning>\nFinal Answer: 16/117"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [68, 81, 93, 81, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 14 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 9 and 5."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(9,5) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Ravi has 47 apples and buys 57 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 47 + 57 = 104.\n</reasoning>\nFinal Answer: 104"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹23717 at 20% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 23717 × 20 × 1 / 100 = 4743.4.\n</reasoning>\nFinal Answer: 4743.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "13 is what percentage of 219?"
},
{
"role": "assistant",
"content": "<reasoning>\n(13/219) × 100 = 5.9361%.\n</reasoning>\nFinal Answer: 5.9361%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 99 and width 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(99+35) = 2×134 = 268.\n</reasoning>\nFinal Answer: 268"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 643 + -983"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 643 and -983: 643 + -983 = -340.\n</reasoning>\nFinal Answer: -340"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:5 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/5, so B = A × (5/8) = 69 × 5/8 = 43.125.\n</reasoning>\nFinal Answer: 43.125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 42, 45 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (42+45) × 45 = 1957.5.\n</reasoning>\nFinal Answer: 1957.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 10, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (18-1)×10 = 42 + 170 = 212.\n</reasoning>\nFinal Answer: 212"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:21 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/21, so B = A × (21/27) = 78 × 21/27 = 60.6667.\n</reasoning>\nFinal Answer: 60.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [57, 41, 15, 42, 5, 15, 12, 30, 87, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {57: 1, 41: 1, 15: 2, 42: 1, 5: 1, 12: 1, 30: 1, 87: 1, 90: 1}. Most frequent: 15.\n</reasoning>\nFinal Answer: 15"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -948 + -329"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -948 and -329: -948 + -329 = -1277.\n</reasoning>\nFinal Answer: -1277"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 50 = 106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 14x = 56. Divide by 14: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/10 * 11/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/10) × (11/9) = (132/90) = 22/15 after simplification.\n</reasoning>\nFinal Answer: 22/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -10 + 854"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -10 and 854: -10 + 854 = 844.\n</reasoning>\nFinal Answer: 844"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 49 and height 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 49 × 91 = 2229.5.\n</reasoning>\nFinal Answer: 2229.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 42 - -845"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -845 from 42: 42 - -845 = 887.\n</reasoning>\nFinal Answer: 887"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -526 - -974"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -974 from -526: -526 - -974 = 448.\n</reasoning>\nFinal Answer: 448"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -43 = -178"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 5x = -135. Divide by 5: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 87 and width 20."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(87+20) = 2×107 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 * 1 + 30 * 38"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 14×1=14 and 30×38=1140, then add: 1154.\n</reasoning>\nFinal Answer: 1154"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 4 = 304"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 6x = 300. Divide by 6: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 50 * 19 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 50×19=950, then 31+950-21=960.\n</reasoning>\nFinal Answer: 960"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 22 + 8 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×22=968 and 8×8=64, then add: 1032.\n</reasoning>\nFinal Answer: 1032"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 69 km/h. How far does it travel in 10 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 32/60 = 10.5333 hours. Distance = speed × time = 69 × 10.5333 = 726.8 km.\n</reasoning>\nFinal Answer: 726.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -953 mod 17"
},
{
"role": "assistant",
"content": "<reasoning>\n-953 mod 17: -953 = 17 × -57 + 16, so remainder = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 207 ÷ -634"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 207 by -634. 207 ÷ -634 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 613 ÷ 954"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 613 by 954. 613 ÷ 954 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 39 * 12 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×12=468, then 33+468-44=457.\n</reasoning>\nFinal Answer: 457"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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