messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -717 ÷ -989"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -717 by -989. -717 ÷ -989 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -14 = -82"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 4x = -68. Divide by 4: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 78 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 78 × 70 = 5460.\n</reasoning>\nFinal Answer: 5460"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/16 - 1/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/16 - 1/19. LCD = 304. Result = 345/304.\n</reasoning>\nFinal Answer: 345/304"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 6 = -134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 28x = -140. Divide by 28: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [8, 9, 16] and B = [1, 4, 10, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 9, 16].\n</reasoning>\nFinal Answer: [8, 9, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 634 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 634 × (1 + 30/100) = 634 × 1.3 = 824.2.\n</reasoning>\nFinal Answer: 824.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/1 + 7/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/1 + 7/5. Common denominator = 5. Result = 12/5.\n</reasoning>\nFinal Answer: 12/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "288 is what percentage of 518?"
},
{
"role": "assistant",
"content": "<reasoning>\n(288/518) × 100 = 55.5985%.\n</reasoning>\nFinal Answer: 55.5985%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 26) * (5 - 11)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+26)=70, (5-11)=-6, then 70×-6=-420.\n</reasoning>\nFinal Answer: -420"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:36 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/36, so B = A × (36/15) = 25 × 36/15 = 60.0.\n</reasoning>\nFinal Answer: 60.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 49 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(49+7) = 2×56 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -737 - -247"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -247 from -737: -737 - -247 = -490.\n</reasoning>\nFinal Answer: -490"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 40 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (40×7)/1 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:31 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/31, so B = A × (31/44) = 40 × 31/44 = 28.1818.\n</reasoning>\nFinal Answer: 28.1818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 6 ** 2 - 21"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 6²=36, then 15+36-21=30.\n</reasoning>\nFinal Answer: 30"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [15, 99, 56, 54, 50, 54, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {15: 1, 99: 1, 56: 1, 54: 2, 50: 1, 30: 1}. Most frequent: 54.\n</reasoning>\nFinal Answer: 54"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -21 = 201"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 6x = 222. Divide by 6: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 32) * (29 - 35)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+32)=35, (29-35)=-6, then 35×-6=-210.\n</reasoning>\nFinal Answer: -210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 13 = 211"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 11x = 198. Divide by 11: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [24, 45, 46, 86, 33, 21, 42, 60, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [14, 21, 24, 33, 42, 45, 46, 60, 86]. Middle value(s) → median = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:13 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/13, so B = A × (13/22) = 57 × 13/22 = 33.6818.\n</reasoning>\nFinal Answer: 33.6818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 865 ÷ 936"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 865 by 936. 865 ÷ 936 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 107 km/h. How far does it travel in 12 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 29/60 = 12.4833 hours. Distance = speed × time = 107 × 12.4833 = 1335.7167 km.\n</reasoning>\nFinal Answer: 1335.7167"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -36 = -740"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 16x = -704. Divide by 16: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 82 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 82 × 99 = 8118.\n</reasoning>\nFinal Answer: 8118"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 1/6 - 13/17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/6 - 13/17. LCD = 102. Result = -61/102.\n</reasoning>\nFinal Answer: -61/102"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 606 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 606 × (1 + 40/100) = 606 × 1.4 = 848.4.\n</reasoning>\nFinal Answer: 848.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 148 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 12%: 148 × (1 - 12/100) = 148 × 0.88 = 130.24.\n</reasoning>\nFinal Answer: 130.24"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 33 + 26 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×33=1584 and 26×29=754, then add: 2338.\n</reasoning>\nFinal Answer: 2338"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 39 apples and buys 184 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 39 + 184 = 223.\n</reasoning>\nFinal Answer: 223"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -297 × 306"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -297 by 306: -297 × 306 = -90882.\n</reasoning>\nFinal Answer: -90882"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/19 + 13/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/19 + 13/12. Common denominator = 228. Result = 319/228.\n</reasoning>\nFinal Answer: 319/228"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 46 = -845"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 27x = -891. Divide by 27: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "255 is what percentage of 262?"
},
{
"role": "assistant",
"content": "<reasoning>\n(255/262) × 100 = 97.3282%.\n</reasoning>\nFinal Answer: 97.3282%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 80 and height 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 80 × 64 = 5120.\n</reasoning>\nFinal Answer: 5120"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 40% of 967?"
},
{
"role": "assistant",
"content": "<reasoning>\n40% of 967 = (40/100) × 967 = 386.8.\n</reasoning>\nFinal Answer: 386.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 491 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 7%: 491 × (1 - 7/100) = 491 × 0.9299999999999999 = 456.63.\n</reasoning>\nFinal Answer: 456.63"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 917 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 917 × (1 - 17/100) = 917 × 0.83 = 761.11.\n</reasoning>\nFinal Answer: 761.11"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹3274. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3274 × 12/100 = 392.88. Total = 3274 + 392.88 = 3666.88.\n</reasoning>\nFinal Answer: 3666.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -22 = 428"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 9x = 450. Divide by 9: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/5 / 11/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/5) ÷ (11/5) = (13/5) × (5/11) = 13/11.\n</reasoning>\nFinal Answer: 13/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [44, 48, 10, 35, 61, 6, 8, 89, 90, 40]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 8, 10, 35, 40, 44, 48, 61, 89, 90]. Middle value(s) → median = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 5/18 / 14/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/18) ÷ (14/2) = (5/18) × (2/14) = 5/126.\n</reasoning>\nFinal Answer: 5/126"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 1 = 817"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 24x = 816. Divide by 24: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 189 apples and buys 59 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 189 + 59 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -407 + 217"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -407 and 217: -407 + 217 = -190.\n</reasoning>\nFinal Answer: -190"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 7, 10, 11, 14, 15] and B = [9, 13, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 5, 7, 9, 10, 11, 13, 14, 15, 16].\n</reasoning>\nFin... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 520 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 520 × (1 + 35/100) = 520 × 1.35 = 702.0.\n</reasoning>\nFinal Answer: 702.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/14 * 3/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/14) × (3/9) = (54/126) = 3/7 after simplification.\n</reasoning>\nFinal Answer: 3/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 8 and 31."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (8×31)/1 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 47 and width 96."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 47 × 96 = 4512.\n</reasoning>\nFinal Answer: 4512"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 107 and 33."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(107,33) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 14 = -54"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 2x = -68. Divide by 2: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -347 mod 164"
},
{
"role": "assistant",
"content": "<reasoning>\n-347 mod 164: -347 = 164 × -3 + 145, so remainder = 145.\n</reasoning>\nFinal Answer: 145"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 27 apples and buys 189 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 27 + 189 = 216.\n</reasoning>\nFinal Answer: 216"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18981 at 13% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18981 × 13 × 5 / 100 = 12337.65.\n</reasoning>\nFinal Answer: 12337.65"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 10 * 45 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 10×45=450, then 33+450-46=437.\n</reasoning>\nFinal Answer: 437"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 38 = 18"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 10x = -20. Divide by 10: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:12 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/12, so B = A × (12/18) = 59 × 12/18 = 39.3333.\n</reasoning>\nFinal Answer: 39.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Is 163 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n163 has no divisors other than 1 and itself, so it is prime.\n</reasoning>\nFinal Answer: Yes"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 43 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 43 × 93 = 3999.\n</reasoning>\nFinal Answer: 3999"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 361 - 639"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 639 from 361: 361 - 639 = -278.\n</reasoning>\nFinal Answer: -278"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/18 * 1/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/18) × (1/10) = (3/180) = 1/60 after simplification.\n</reasoning>\nFinal Answer: 1/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [28, 70, 4, 74, 100, 71, 81, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 470/8 = 58.75.\n</reasoning>\nFinal Answer: 58.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 74 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 74 × 11 = 814.\n</reasoning>\nFinal Answer: 814"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -13 = 337"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 7x = 350. Divide by 7: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -11 = 353"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -11 from both sides: 13x = 364. Divide by 13: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 41 * 39 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 41×39=1599, then 24+1599-25=1598.\n</reasoning>\nFinal Answer: 1598"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 497 km apart. Their speeds are 117 km/h and 116 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 117+116=233 km/h. Time = 497/233 = 2.133 hours.\n</reasoning>\nFinal Ans... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [43, 11, 91, 28, 46, 70, 8, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 11, 28, 30, 43, 46, 70, 91]. Middle value(s) → median = 36.5.\n</reasoning>\nFinal Answer: 36.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 62 km/h. How far does it travel in 7 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 25/60 = 7.4167 hours. Distance = speed × time = 62 × 7.4167 = 459.8333 km.\n</reasoning>\nFinal Answer: 459.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "446 is what percentage of 497?"
},
{
"role": "assistant",
"content": "<reasoning>\n(446/497) × 100 = 89.7384%.\n</reasoning>\nFinal Answer: 89.7384%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 14 = -76"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 18x = -90. Divide by 18: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 967 ÷ 368"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 967 by 368. 967 ÷ 368 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/1 / 2/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/1) ÷ (2/5) = (9/1) × (5/2) = 45/2.\n</reasoning>\nFinal Answer: 45/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 * 35 + 2 * 8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 47×35=1645 and 2×8=16, then add: 1661.\n</reasoning>\nFinal Answer: 1661"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 17, 21, and 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 17 + 21 + 25 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 35 and height 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 35 × 67 = 1172.5.\n</reasoning>\nFinal Answer: 1172.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 20 days. How many days will 19 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 20 = 320 worker-days. New time = 320 / 19 = 16.8421 days.\n</reasoning>\nFinal Answer: 16.8421"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -934 × -689"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -934 by -689: -934 × -689 = 643526.\n</reasoning>\nFinal Answer: 643526"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 22 = -762"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 16x = -784. Divide by 16: x = -49.\n</reasoning>\nFinal Answer: -49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -655 ÷ -343"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -655 by -343. -655 ÷ -343 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [7, 98, 71, 2, 55, 20, 2, 94, 14]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 2 = 96.\n</reasoning>\nFinal Answer: 96"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 541 mod 48"
},
{
"role": "assistant",
"content": "<reasoning>\n541 mod 48: 541 = 48 × 11 + 13, so remainder = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 395 × 113"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 395 by 113: 395 × 113 = 44635.\n</reasoning>\nFinal Answer: 44635"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [43, 54, 85, 22, 76, 26, 90, 32, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {43: 1, 54: 1, 85: 1, 22: 1, 76: 1, 26: 1, 90: 1, 32: 1, 29: 1}. Most frequent: [43, 54, 85, 22, 76, 26, 90, 32, 29].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -35 = -127"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 23x = -92. Divide by 23: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 846 km apart. Their speeds are 79 km/h and 76 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 79+76=155 km/h. Time = 846/155 = 5.4581 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×34)/1 = 1190.\n</reasoning>\nFinal Answer: 1190"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 39 = 495"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 19x = 456. Divide by 19: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 734 × 568"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 734 by 568: 734 × 568 = 416912.\n</reasoning>\nFinal Answer: 416912"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/11 + 12/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/11 + 12/5. Common denominator = 55. Result = 172/55.\n</reasoning>\nFinal Answer: 172/55"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:48 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/48, so B = A × (48/40) = 40 × 48/40 = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 290 km apart. Their speeds are 115 km/h and 120 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 115+120=235 km/h. Time = 290/235 = 1.234 hours.\n</reasoning>\nFinal Ans... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -779 mod -167"
},
{
"role": "assistant",
"content": "<reasoning>\n-779 mod -167: -779 = -167 × 4 + -111, so remainder = -111.\n</reasoning>\nFinal Answer: -111"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/1 / 18/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/1) ÷ (18/14) = (6/1) × (14/18) = 14/3.\n</reasoning>\nFinal Answer: 14/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 36 + 1 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 36+1-46=-9.\n</reasoning>\nFinal Answer: -9"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [30, 84, 52, 76, 93, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 378/6 = 63.0.\n</reasoning>\nFinal Answer: 63.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 15% of 677?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 677 = (15/100) × 677 = 101.55.\n</reasoning>\nFinal Answer: 101.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
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