messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -960 - 974"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 974 from -960: -960 - 974 = -1934.\n</reasoning>\nFinal Answer: -1934"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 470 + 753"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 470 and 753: 470 + 753 = 1223.\n</reasoning>\nFinal Answer: 1223"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -331 - -583"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -583 from -331: -331 - -583 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 31 = -398"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 11x = -429. Divide by 11: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 596 ÷ 789"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 596 by 789. 596 ÷ 789 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [29, 66, 51, 90, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {29: 1, 66: 1, 51: 1, 90: 1, 3: 1}. Most frequent: [29, 66, 51, 90, 3].\n</reasoning>\nFinal Answer: [29, 66, 51, 90, 3]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "A train travels at 200 km/h. How far does it travel in 1 hours and 7 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 7/60 = 1.1167 hours. Distance = speed × time = 200 × 1.1167 = 223.3333 km.\n</reasoning>\nFinal Answer: 223.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -858 mod 166"
},
{
"role": "assistant",
"content": "<reasoning>\n-858 mod 166: -858 = 166 × -6 + 138, so remainder = 138.\n</reasoning>\nFinal Answer: 138"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/15 / 6/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/15) ÷ (6/5) = (5/15) × (5/6) = 5/18.\n</reasoning>\nFinal Answer: 5/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -847 ÷ 791"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -847 by 791. -847 ÷ 791 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 24 = -551"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 23x = -575. Divide by 23: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 655 × -964"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 655 by -964: 655 × -964 = -631420.\n</reasoning>\nFinal Answer: -631420"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 9, 10, 12, 14, 18] and B = [2, 8, 10, 12, 13, 14, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [10, 12, 14, 18].\n</reasoning>\nFinal Answer: [10, 12, 14, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 14, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (12-1)×14 = 38 + 154 = 192.\n</reasoning>\nFinal Answer: 192"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 169 and 162."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(169,162) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 36 = 1011"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 25x = 975. Divide by 25: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -280 × 474"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -280 by 474: -280 × 474 = -132720.\n</reasoning>\nFinal Answer: -132720"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/10 - 18/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/10 - 18/5. LCD = 10. Result = -27/10.\n</reasoning>\nFinal Answer: -27/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:12 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/12, so B = A × (12/39) = 37 × 12/39 = 11.3846.\n</reasoning>\nFinal Answer: 11.3846"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -37 = 106"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 11x = 143. Divide by 11: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 64 and width 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 64 × 69 = 4416.\n</reasoning>\nFinal Answer: 4416"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [22, 91, 46, 38, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 22 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 14 and height 99."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 14 × 99 = 1386.\n</reasoning>\nFinal Answer: 1386"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 48 + 36 * 11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×48=816 and 36×11=396, then add: 1212.\n</reasoning>\nFinal Answer: 1212"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -25 = -925"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 20x = -900. Divide by 20: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 20 + 23 * 25 - 8"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×25=575, then 20+575-8=587.\n</reasoning>\nFinal Answer: 587"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [63, 23, 27, 56, 58, 13, 5, 56, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 385/9 = 42.7778.\n</reasoning>\nFinal Answer: 42.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Decrease 738 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 738 × (1 - 60/100) = 738 × 0.4 = 295.2.\n</reasoning>\nFinal Answer: 295.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 48 and height 49."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+48) × 49 = 1323.0.\n</reasoning>\nFinal Answer: 1323.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (11 + 21) * (33 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (11+21)=32, (33-2)=31, then 32×31=992.\n</reasoning>\nFinal Answer: 992"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 * 39 + 19 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 9×39=351 and 19×10=190, then add: 541.\n</reasoning>\nFinal Answer: 541"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 872 - -703"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -703 from 872: 872 - -703 = 1575.\n</reasoning>\nFinal Answer: 1575"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 50 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 42+2500-45=2497.\n</reasoning>\nFinal Answer: 2497"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 6 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 6 = 90 worker-days. New time = 90 / 5 = 18.0 days.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 26 * 36 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 26×36=936, then 10+936-5=941.\n</reasoning>\nFinal Answer: 941"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "32 is what percentage of 37?"
},
{
"role": "assistant",
"content": "<reasoning>\n(32/37) × 100 = 86.4865%.\n</reasoning>\nFinal Answer: 86.4865%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Decrease 159 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 159 × (1 - 45/100) = 159 × 0.55 = 87.45.\n</reasoning>\nFinal Answer: 87.45"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 819 + -254"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 819 and -254: 819 + -254 = 565.\n</reasoning>\nFinal Answer: 565"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/1 + 6/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/1 + 6/20. Common denominator = 10. Result = 103/10.\n</reasoning>\nFinal Answer: 103/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/18 / 1/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/18) ÷ (1/6) = (19/18) × (6/1) = 19/3.\n</reasoning>\nFinal Answer: 19/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 8, 12, 14, 18, 19] and B = [12, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [5, 8, 12, 14, 18, 19].\n</reasoning>\nFinal Answer: [5, 8, 12, 14, 18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Ravi has 7 apples and buys 158 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 7 + 158 = 165.\n</reasoning>\nFinal Answer: 165"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 123 apples and buys 4 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 123 + 4 = 127.\n</reasoning>\nFinal Answer: 127"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 18 = 294"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 23x = 276. Divide by 23: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [64, 10, 34, 18, 67, 23, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 295/7 = 42.1429.\n</reasoning>\nFinal Answer: 42.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 2 * 8 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×8=16, then 16+16-32=0.\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 17/6 - 19/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/6 - 19/14. LCD = 42. Result = 31/21.\n</reasoning>\nFinal Answer: 31/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 553 + 430"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 553 and 430: 553 + 430 = 983.\n</reasoning>\nFinal Answer: 983"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 71 and height 71."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 71 × 71 = 2520.5.\n</reasoning>\nFinal Answer: 2520.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 24 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 24 = 312 worker-days. New time = 312 / 11 = 28.3636 days.\n</reasoning>\nFinal Answer: 28.3636"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:32 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/32, so B = A × (32/49) = 10 × 32/49 = 6.5306.\n</reasoning>\nFinal Answer: 6.5306"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 6, 10, 48, 63, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 10, 21, 48, 63, 65]. Middle value(s) → median = 34.5.\n</reasoning>\nFinal Answer: 34.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 13, 28, and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 13 + 28 + 36 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -673 + -37"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -673 and -37: -673 + -37 = -710.\n</reasoning>\nFinal Answer: -710"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 19 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 24+361-41=344.\n</reasoning>\nFinal Answer: 344"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [65, 55, 42, 99, 4, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 42, 55, 55, 65, 99]. Middle value(s) → median = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 49 = 647"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 26x = 598. Divide by 26: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 14/2 + 2/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/2 + 2/4. Common denominator = 2. Result = 15/2.\n</reasoning>\nFinal Answer: 15/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:22 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/22, so B = A × (22/33) = 72 × 22/33 = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 66 apples and buys 180 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 66 + 180 = 246.\n</reasoning>\nFinal Answer: 246"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 247 - -499"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -499 from 247: 247 - -499 = 746.\n</reasoning>\nFinal Answer: 746"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 167 km/h. How far does it travel in 7 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 47/60 = 7.7833 hours. Distance = speed × time = 167 × 7.7833 = 1299.8167 km.\n</reasoning>\nFinal Answer: 1299.8167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "251 is what percentage of 555?"
},
{
"role": "assistant",
"content": "<reasoning>\n(251/555) × 100 = 45.2252%.\n</reasoning>\nFinal Answer: 45.2252%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 487 ÷ 346"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 487 by 346. 487 ÷ 346 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 12 and common difference 6, find the 38th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 12 + (38-1)×6 = 12 + 222 = 234.\n</reasoning>\nFinal Answer: 234"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 963 + -399"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 963 and -399: 963 + -399 = 564.\n</reasoning>\nFinal Answer: 564"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 106 km/h. How far does it travel in 2 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 2 + 17/60 = 2.2833 hours. Distance = speed × time = 106 × 2.2833 = 242.0333 km.\n</reasoning>\nFinal Answer: 242.0333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A bag has 10 red and 2 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 2/12 = 0.1667.\n</reasoning>\nFinal Answer: 0.1667"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [5, 20, 35, 50, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 5 and common difference 15. Next term = 65 + 15 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (5)x + (4) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 5² - 4×1×4 = 9. √discriminant = 3. x = (-(5) ± 3) / (2×1). Solutions: x = -4 or x = -1.\n</reasoning>\nFinal Answer: x = -4 or x = -1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Decrease 549 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 549 × (1 - 10/100) = 549 × 0.9 = 494.1.\n</reasoning>\nFinal Answer: 494.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -18 = -33"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 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: 1x + -24 = -66"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 1x = -42. Divide by 1: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [80, 98, 84, 87, 78, 2, 20, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {80: 1, 98: 1, 84: 1, 87: 1, 78: 1, 2: 1, 20: 1, 25: 1}. Most frequent: [80, 98, 84, 87, 78, 2, 20, 25].\n</reasoning>\nFinal Answer: [80, 98, 84... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 927 ÷ 91"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 927 by 91. 927 ÷ 91 = 10 (integer division).\n</reasoning>\nFinal Answer: 10"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 885 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 885 × (1 + 10/100) = 885 × 1.1 = 973.5.\n</reasoning>\nFinal Answer: 973.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:3 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/3, so B = A × (3/15) = 75 × 3/15 = 15.0.\n</reasoning>\nFinal Answer: 15.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 670 - -880"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -880 from 670: 670 - -880 = 1550.\n</reasoning>\nFinal Answer: 1550"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 88 and width 100."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(88+100) = 2×188 = 376.\n</reasoning>\nFinal Answer: 376"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 15/4 * 11/1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/4) × (11/1) = (165/4) = 165/4 after simplification.\n</reasoning>\nFinal Answer: 165/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 17/15 * 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/15) × (19/10) = (323/150) = 323/150 after simplification.\n</reasoning>\nFinal Answer: 323/150"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "18 is what percentage of 674?"
},
{
"role": "assistant",
"content": "<reasoning>\n(18/674) × 100 = 2.6706%.\n</reasoning>\nFinal Answer: 2.6706%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 14, 18, and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 14 + 18 + 30 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 20 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 20 = 40 worker-days. New time = 40 / 9 = 4.4444 days.\n</reasoning>\nFinal Answer: 4.4444"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -37 = -577"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 27x = -540. Divide by 27: x = -20.\n</reasoning>\nFinal Answer: -20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "15 workers can complete a job in 11 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 15 × 11 = 165 worker-days. New time = 165 / 16 = 10.3125 days.\n</reasoning>\nFinal Answer: 10.3125"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 12 = -384"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 22x = -396. Divide by 22: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (38 + 34) * (14 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (38+34)=72, (14-12)=2, then 72×2=144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -741 mod 580"
},
{
"role": "assistant",
"content": "<reasoning>\n-741 mod 580: -741 = 580 × -2 + 419, so remainder = 419.\n</reasoning>\nFinal Answer: 419"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 9, 66, 5, 50, 75, 37, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 296/8 = 37.0.\n</reasoning>\nFinal Answer: 37.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 13 = -554"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 27x = -567. Divide by 27: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [50, 97, 31, 76, 43, 41, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [31, 41, 43, 50, 76, 94, 97]. Middle value(s) → median = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 14 ** 2 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 35+196-40=191.\n</reasoning>\nFinal Answer: 191"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "445 is what percentage of 568?"
},
{
"role": "assistant",
"content": "<reasoning>\n(445/568) × 100 = 78.3451%.\n</reasoning>\nFinal Answer: 78.3451%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 847 ÷ 242"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 847 by 242. 847 ÷ 242 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 7, 30, and 32."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 7 + 30 + 32 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "What is 35% of 920?"
},
{
"role": "assistant",
"content": "<reasoning>\n35% of 920 = (35/100) × 920 = 322.0.\n</reasoning>\nFinal Answer: 322.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 87 and width 56."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 87 × 56 = 4872.\n</reasoning>\nFinal Answer: 4872"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 18 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 16+324-12=328.\n</reasoning>\nFinal Answer: 328"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 262 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 262 × (1 - 15/100) = 262 × 0.85 = 222.7.\n</reasoning>\nFinal Answer: 222.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
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