messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 36 * 42 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×42=1512, then 3+1512-24=1491.\n</reasoning>\nFinal Answer: 1491"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -292 - -892"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -892 from -292: -292 - -892 = 600.\n</reasoning>\nFinal Answer: 600"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -42 = -912"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 30x = -870. Divide by 30: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [83, 65, 48, 71, 26, 39, 33, 16, 25, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {83: 1, 65: 1, 48: 1, 71: 1, 26: 1, 39: 1, 33: 1, 16: 1, 25: 1, 21: 1}. Most frequent: [83, 65, 48, 71, 26, 39, 33, 16, 25, 21].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -719 mod 379"
},
{
"role": "assistant",
"content": "<reasoning>\n-719 mod 379: -719 = 379 × -2 + 39, so remainder = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 26) * (2 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+26)=29, (2-36)=-34, then 29×-34=-986.\n</reasoning>\nFinal Answer: -986"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 6, 11, 12, 13, 15, 16] and B = [4, 5, 13, 14, 15, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 3, 6, 11, 12, 16].\n</reasoning>\nFinal Answer: [1, 3, 6, 11, 12,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 37 = -63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from both sides: 20x = -100. Divide by 20: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/6 + 16/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/6 + 16/18. Common denominator = 9. Result = 14/9.\n</reasoning>\nFinal Answer: 14/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 42 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (42×8)/2 = 168.\n</reasoning>\nFinal Answer: 168"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -38 = -318"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 20x = -280. Divide by 20: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 11/5 + 19/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/5 + 19/12. Common denominator = 60. Result = 227/60.\n</reasoning>\nFinal Answer: 227/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 8/16 + 1/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/16 + 1/7. Common denominator = 14. Result = 9/14.\n</reasoning>\nFinal Answer: 9/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -184 × -570"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -184 by -570: -184 × -570 = 104880.\n</reasoning>\nFinal Answer: 104880"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 1 and width 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 1 × 16 = 16.\n</reasoning>\nFinal Answer: 16"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/8 / 6/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/8) ÷ (6/3) = (16/8) × (3/6) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 11 + 12 * 24"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×11=374 and 12×24=288, then add: 662.\n</reasoning>\nFinal Answer: 662"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 273 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 273 × (1 + 60/100) = 273 × 1.6 = 436.8.\n</reasoning>\nFinal Answer: 436.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -25 = 297"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 14x = 322. Divide by 14: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -694 ÷ -342"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -694 by -342. -694 ÷ -342 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [79, 71, 31, 8, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 11, 31, 71, 79]. Middle value(s) → median = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 20 = 120"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 25x = 100. Divide by 25: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 714 km apart. Their speeds are 45 km/h and 65 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 45+65=110 km/h. Time = 714/110 = 6.4909 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹885. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 885 × 12/100 = 106.2. Total = 885 + 106.2 = 991.2.\n</reasoning>\nFinal Answer: 991.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:25 and A = 29, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/25, so B = A × (25/26) = 29 × 25/26 = 27.8846.\n</reasoning>\nFinal Answer: 27.8846"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21215 at 18% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21215 × 18 × 9 / 100 = 34368.3.\n</reasoning>\nFinal Answer: 34368.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:50 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/50, so B = A × (50/26) = 2 × 50/26 = 3.8462.\n</reasoning>\nFinal Answer: 3.8462"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 34 and width 26."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(34+26) = 2×60 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 483 × 958"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 483 by 958: 483 × 958 = 462714.\n</reasoning>\nFinal Answer: 462714"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:7 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/7, so B = A × (7/32) = 33 × 7/32 = 7.2188.\n</reasoning>\nFinal Answer: 7.2188"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 96 and width 53."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(96+53) = 2×149 = 298.\n</reasoning>\nFinal Answer: 298"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 58 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 58 × 10 = 290.0.\n</reasoning>\nFinal Answer: 290.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 40 + 12 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×40=1880 and 12×10=120, then add: 2000.\n</reasoning>\nFinal Answer: 2000"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 200 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 200 × (1 + 17/100) = 200 × 1.17 = 234.0.\n</reasoning>\nFinal Answer: 234.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [68, 31, 22, 12, 92, 54, 86, 61, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {68: 1, 31: 1, 22: 1, 12: 1, 92: 1, 54: 1, 86: 1, 61: 1, 53: 1}. Most frequent: [68, 31, 22, 12, 92, 54, 86, 61, 53].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 25, 27 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (25+27) × 35 = 910.0.\n</reasoning>\nFinal Answer: 910.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [80, 32, 98, 53, 49, 41, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {80: 1, 32: 1, 98: 1, 53: 1, 49: 1, 41: 1, 27: 1}. Most frequent: [80, 32, 98, 53, 49, 41, 27].\n</reasoning>\nFinal Answer: [80, 32, 98, 53, 49, 41... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 470 × 642"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 470 by 642: 470 × 642 = 301740.\n</reasoning>\nFinal Answer: 301740"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 105 km/h. How far does it travel in 12 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 26/60 = 12.4333 hours. Distance = speed × time = 105 × 12.4333 = 1305.5 km.\n</reasoning>\nFinal Answer: 1305.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 28 = 13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 15x = -15. Divide by 15: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -35 = -123"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 2x = -88. Divide by 2: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [11, 55, 49, 74, 12, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 12, 27, 49, 55, 74]. Middle value(s) → median = 38.0.\n</reasoning>\nFinal Answer: 38.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:24 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/24, so B = A × (24/34) = 47 × 24/34 = 33.1765.\n</reasoning>\nFinal Answer: 33.1765"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 5, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (20-1)×5 = 43 + 95 = 138.\n</reasoning>\nFinal Answer: 138"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹7213 at 17% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 7213 × 17 × 5 / 100 = 6131.05.\n</reasoning>\nFinal Answer: 6131.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [44, 88, 64, 79, 76, 26, 38, 49, 19, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 26, 38, 44, 49, 64, 76, 79, 79, 88]. Middle value(s) → median = 56.5.\n</reasoning>\nFinal Answer: 56.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -286 × -620"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -286 by -620: -286 × -620 = 177320.\n</reasoning>\nFinal Answer: 177320"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "374 is what percentage of 521?"
},
{
"role": "assistant",
"content": "<reasoning>\n(374/521) × 100 = 71.785%.\n</reasoning>\nFinal Answer: 71.785%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "116 is what percentage of 633?"
},
{
"role": "assistant",
"content": "<reasoning>\n(116/633) × 100 = 18.3254%.\n</reasoning>\nFinal Answer: 18.3254%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -42 = 48"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 5x = 90. Divide by 5: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 22 and common difference 5, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 22 + (27-1)×5 = 22 + 130 = 152.\n</reasoning>\nFinal Answer: 152"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:6 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/6, so B = A × (6/24) = 45 × 6/24 = 11.25.\n</reasoning>\nFinal Answer: 11.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 9 = -639"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 24x = -648. Divide by 24: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 649 + -215"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 649 and -215: 649 + -215 = 434.\n</reasoning>\nFinal Answer: 434"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 163 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 163 × (1 + 5/100) = 163 × 1.05 = 171.15.\n</reasoning>\nFinal Answer: 171.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 114 apples and buys 156 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 114 + 156 = 270.\n</reasoning>\nFinal Answer: 270"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 43 = -342"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 11x = -385. Divide by 11: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [32, 23, 51, 24, 86, 83, 13, 72, 24, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {32: 1, 23: 1, 51: 1, 24: 2, 86: 1, 83: 1, 13: 1, 72: 1, 6: 1}. Most frequent: 24.\n</reasoning>\nFinal Answer: 24"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 15/6 / 2/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/6) ÷ (2/20) = (15/6) × (20/2) = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "81 is what percentage of 528?"
},
{
"role": "assistant",
"content": "<reasoning>\n(81/528) × 100 = 15.3409%.\n</reasoning>\nFinal Answer: 15.3409%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 37 and 22."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (37×22)/1 = 814.\n</reasoning>\nFinal Answer: 814"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 3/7 / 12/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/7) ÷ (12/15) = (3/7) × (15/12) = 15/28.\n</reasoning>\nFinal Answer: 15/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 9, 11, 15, 17] and B = [1, 5, 6, 8, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 9, 11, 15, 17].\n</reasoning>\nFinal Answer: [2, 9, 11, 15, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 71, 11, 12, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 71 - 11 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 14/14 * 14/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/14) × (14/14) = (196/196) = 1 after simplification.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/17 - 11/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/17 - 11/14. LCD = 238. Result = -131/238.\n</reasoning>\nFinal Answer: -131/238"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 398 km apart. Their speeds are 96 km/h and 63 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 96+63=159 km/h. Time = 398/159 = 2.5031 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -522 × 593"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -522 by 593: -522 × 593 = -309546.\n</reasoning>\nFinal Answer: -309546"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 44 and width 18."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(44+18) = 2×62 = 124.\n</reasoning>\nFinal Answer: 124"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 28 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 28 × 50 = 1400.\n</reasoning>\nFinal Answer: 1400"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "212 is what percentage of 242?"
},
{
"role": "assistant",
"content": "<reasoning>\n(212/242) × 100 = 87.6033%.\n</reasoning>\nFinal Answer: 87.6033%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -21 = 356"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 13x = 377. Divide by 13: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 17 = -49"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 17 from both sides: 2x = -66. Divide by 2: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 19/16 * 7/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/16) × (7/18) = (133/288) = 133/288 after simplification.\n</reasoning>\nFinal Answer: 133/288"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 47 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 47²=2209, then 22+2209-17=2214.\n</reasoning>\nFinal Answer: 2214"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [83, 71, 22, 60, 4, 8, 88, 91, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {83: 1, 71: 1, 22: 1, 60: 1, 4: 1, 8: 1, 88: 1, 91: 1, 37: 1}. Most frequent: [83, 71, 22, 60, 4, 8, 88, 91, 37].\n</reasoning>\nFinal Answer:... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [15, 16, 19] and B = [2, 4, 14], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [15, 16, 19].\n</reasoning>\nFinal Answer: [15, 16, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 198 apples and buys 86 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 198 + 86 = 284.\n</reasoning>\nFinal Answer: 284"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 186 km/h. How far does it travel in 9 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 17/60 = 9.2833 hours. Distance = speed × time = 186 × 9.2833 = 1726.7 km.\n</reasoning>\nFinal Answer: 1726.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 16 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 16 × 44 = 352.0.\n</reasoning>\nFinal Answer: 352.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 23 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (23×30)/1 = 690.\n</reasoning>\nFinal Answer: 690"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 12/18 + 10/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/18 + 10/14. Common denominator = 21. Result = 29/21.\n</reasoning>\nFinal Answer: 29/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 744 mod -859"
},
{
"role": "assistant",
"content": "<reasoning>\n744 mod -859: 744 = -859 × -1 + -115, so remainder = -115.\n</reasoning>\nFinal Answer: -115"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 88 km/h. How far does it travel in 8 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 7/60 = 8.1167 hours. Distance = speed × time = 88 × 8.1167 = 714.2667 km.\n</reasoning>\nFinal Answer: 714.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -251 ÷ -299"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -251 by -299. -251 ÷ -299 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -663 ÷ -37"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -663 by -37. -663 ÷ -37 = 17 (integer division).\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -102 - 761"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 761 from -102: -102 - 761 = -863.\n</reasoning>\nFinal Answer: -863"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 195 mod 845"
},
{
"role": "assistant",
"content": "<reasoning>\n195 mod 845: 195 = 845 × 0 + 195, so remainder = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -944 × 558"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -944 by 558: -944 × 558 = -526752.\n</reasoning>\nFinal Answer: -526752"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 666 km apart. Their speeds are 111 km/h and 71 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 111+71=182 km/h. Time = 666/182 = 3.6593 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 6 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 6 × 14 = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 75 km/h. How far does it travel in 1 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 36/60 = 1.6000 hours. Distance = speed × time = 75 × 1.6000 = 120.0 km.\n</reasoning>\nFinal Answer: 120.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/1 + 12/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/1 + 12/11. Common denominator = 11. Result = 78/11.\n</reasoning>\nFinal Answer: 78/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 65% of 410?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 410 = (65/100) × 410 = 266.5.\n</reasoning>\nFinal Answer: 266.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 40 = 730"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 23x = 690. Divide by 23: x = 30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -215 + -662"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -215 and -662: -215 + -662 = -877.\n</reasoning>\nFinal Answer: -877"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 401 - 826"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 826 from 401: 401 - 826 = -425.\n</reasoning>\nFinal Answer: -425"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:25 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/25, so B = A × (25/48) = 2 × 25/48 = 1.0417.\n</reasoning>\nFinal Answer: 1.0417"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 32 ** 2 - 16"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 32²=1024, then 28+1024-16=1036.\n</reasoning>\nFinal Answer: 1036"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -34 = -850"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 17x = -816. Divide by 17: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
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