messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "What is 5% of 896?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 896 = (5/100) × 896 = 44.8.\n</reasoning>\nFinal Answer: 44.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 899 - -756"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -756 from 899: 899 - -756 = 1655.\n</reasoning>\nFinal Answer: 1655"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 166 km/h. How far does it travel in 6 hours and 29 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 29/60 = 6.4833 hours. Distance = speed × time = 166 × 6.4833 = 1076.2333 km.\n</reasoning>\nFinal Answer: 1076.2333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -504 ÷ 773"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -504 by 773. -504 ÷ 773 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 29 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 29 × 50 = 1450.\n</reasoning>\nFinal Answer: 1450"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:28 and A = 89, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/28, so B = A × (28/31) = 89 × 28/31 = 80.3871.\n</reasoning>\nFinal Answer: 80.3871"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [38, 9, 52, 15, 65, 48, 7, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {38: 1, 9: 1, 52: 1, 15: 1, 65: 1, 48: 1, 7: 1, 98: 1}. Most frequent: [38, 9, 52, 15, 65, 48, 7, 98].\n</reasoning>\nFinal Answer: [38, 9, 52, 15... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 397 km apart. Their speeds are 79 km/h and 95 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 79+95=174 km/h. Time = 397/174 = 2.2816 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 5:26 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/26, so B = A × (26/5) = 80 × 26/5 = 416.0.\n</reasoning>\nFinal Answer: 416.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 275."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 275 by smallest primes repeatedly: 275 = 5 × 5 × 11.\n</reasoning>\nFinal Answer: 5 × 5 × 11"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (16 + 32) * (3 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (16+32)=48, (3-28)=-25, then 48×-25=-1200.\n</reasoning>\nFinal Answer: -1200"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 98 km/h. How far does it travel in 9 hours and 3 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 3/60 = 9.0500 hours. Distance = speed × time = 98 × 9.0500 = 886.9 km.\n</reasoning>\nFinal Answer: 886.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [82, 76, 72, 1, 71, 92, 73, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 1 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 31 = -65"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 4x = -96. Divide by 4: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -466 × -964"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -466 by -964: -466 × -964 = 449224.\n</reasoning>\nFinal Answer: 449224"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 49, 44 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (49+44) × 37 = 1720.5.\n</reasoning>\nFinal Answer: 1720.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -293 mod -126"
},
{
"role": "assistant",
"content": "<reasoning>\n-293 mod -126: -293 = -126 × 2 + -41, so remainder = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 275 + -167"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 275 and -167: 275 + -167 = 108.\n</reasoning>\nFinal Answer: 108"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -820 + -922"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -820 and -922: -820 + -922 = -1742.\n</reasoning>\nFinal Answer: -1742"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -341 ÷ -723"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -341 by -723. -341 ÷ -723 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 75 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 75 × 25 = 1875.\n</reasoning>\nFinal Answer: 1875"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -43 = 50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 3x = 93. Divide by 3: x = 31.\n</reasoning>\nFinal Answer: 31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -24 = -1039"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 29x = -1015. Divide by 29: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 85 and width 83."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 85 × 83 = 7055.\n</reasoning>\nFinal Answer: 7055"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 17/6 - 5/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 17/6 - 5/6. LCD = 6. Result = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [76, 4, 8, 34, 10, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 138/6 = 23.0.\n</reasoning>\nFinal Answer: 23.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 18 = -686"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 16x = -704. Divide by 16: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 45 and common difference 2, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 45 + (50-1)×2 = 45 + 98 = 143.\n</reasoning>\nFinal Answer: 143"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "472 is what percentage of 531?"
},
{
"role": "assistant",
"content": "<reasoning>\n(472/531) × 100 = 88.8889%.\n</reasoning>\nFinal Answer: 88.8889%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 13, find the 25th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (25-1)×13 = 8 + 312 = 320.\n</reasoning>\nFinal Answer: 320"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [45, 54, 63, 72, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 45 and common difference 9. Next term = 81 + 9 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 5/15 + 5/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/15 + 5/9. Common denominator = 9. Result = 8/9.\n</reasoning>\nFinal Answer: 8/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 7/15 - 18/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 7/15 - 18/14. LCD = 105. Result = -86/105.\n</reasoning>\nFinal Answer: -86/105"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 663 - 891"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 891 from 663: 663 - 891 = -228.\n</reasoning>\nFinal Answer: -228"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -566 mod 781"
},
{
"role": "assistant",
"content": "<reasoning>\n-566 mod 781: -566 = 781 × -1 + 215, so remainder = 215.\n</reasoning>\nFinal Answer: 215"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 146 - -907"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -907 from 146: 146 - -907 = 1053.\n</reasoning>\nFinal Answer: 1053"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 19 and width 52."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(19+52) = 2×71 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 33 * 34 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×34=1122, then 12+1122-38=1096.\n</reasoning>\nFinal Answer: 1096"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 5/8 + 6/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/8 + 6/7. Common denominator = 56. Result = 83/56.\n</reasoning>\nFinal Answer: 83/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 32 and width 98."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 32 × 98 = 3136.\n</reasoning>\nFinal Answer: 3136"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 81 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 81 × 88 = 7128.\n</reasoning>\nFinal Answer: 7128"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 123 apples and buys 105 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 123 + 105 = 228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 21 = -675"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 24x = -696. Divide by 24: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -991 × 191"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -991 by 191: -991 × 191 = -189281.\n</reasoning>\nFinal Answer: -189281"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 3) * (50 - 19)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+3)=40, (50-19)=31, then 40×31=1240.\n</reasoning>\nFinal Answer: 1240"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 175 mod -714"
},
{
"role": "assistant",
"content": "<reasoning>\n175 mod -714: 175 = -714 × -1 + -539, so remainder = -539.\n</reasoning>\nFinal Answer: -539"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 46 ** 2 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 19+2116-14=2121.\n</reasoning>\nFinal Answer: 2121"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/14 / 7/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/14) ÷ (7/15) = (19/14) × (15/7) = 285/98.\n</reasoning>\nFinal Answer: 285/98"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -550 ÷ 740"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -550 by 740. -550 ÷ 740 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 + 50 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 44+2500-32=2512.\n</reasoning>\nFinal Answer: 2512"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 18 = -132"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 5x = -150. Divide by 5: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:8 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/8, so B = A × (8/12) = 41 × 8/12 = 27.3333.\n</reasoning>\nFinal Answer: 27.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 9 and 42."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (9×42)/3 = 126.\n</reasoning>\nFinal Answer: 126"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 10/12 - 13/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/12 - 13/4. LCD = 12. Result = -29/12.\n</reasoning>\nFinal Answer: -29/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 436 × -59"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 436 by -59: 436 × -59 = -25724.\n</reasoning>\nFinal Answer: -25724"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-3)x + (-4) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -3² - 4×1×-4 = 25. √discriminant = 5. x = (-(-3) ± 5) / (2×1). Solutions: x = 4 or x = -1.\n</reasoning>\nFinal Answer: x = 4 or x = -1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 8/16 + 10/14"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/16 + 10/14. Common denominator = 14. Result = 17/14.\n</reasoning>\nFinal Answer: 17/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 956 - 951"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 951 from 956: 956 - 951 = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 11, 19] and B = [1, 4, 6, 11, 15, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 5, 6, 11, 15, 18, 19].\n</reasoning>\nFinal Answer: [1, 2, 4, 5, 6, 11, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -82 mod -783"
},
{
"role": "assistant",
"content": "<reasoning>\n-82 mod -783: -82 = -783 × 0 + -82, so remainder = -82.\n</reasoning>\nFinal Answer: -82"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹7659 at 9% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 7659 × 9 × 7 / 100 = 4825.17.\n</reasoning>\nFinal Answer: 4825.17"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 35 = -911"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 22x = -946. Divide by 22: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -718 - -195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -195 from -718: -718 - -195 = -523.\n</reasoning>\nFinal Answer: -523"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 18/5 + 13/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/5 + 13/20. Common denominator = 20. Result = 17/4.\n</reasoning>\nFinal Answer: 17/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 149 ÷ -11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 149 by -11. 149 ÷ -11 = -14 (integer division).\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 575 mod -876"
},
{
"role": "assistant",
"content": "<reasoning>\n575 mod -876: 575 = -876 × -1 + -301, so remainder = -301.\n</reasoning>\nFinal Answer: -301"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [5, 29, 86, 93, 41, 54, 3, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 382/8 = 47.75.\n</reasoning>\nFinal Answer: 47.75"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 86 and 74."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(86,74) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 134 and 182."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(134,182) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 18/4 + 15/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/4 + 15/8. Common denominator = 8. Result = 51/8.\n</reasoning>\nFinal Answer: 51/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -851 - -626"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -626 from -851: -851 - -626 = -225.\n</reasoning>\nFinal Answer: -225"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [11, 25, 72, 50, 29, 26, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 11 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [5, 10, 16] and B = [8, 9, 11, 13, 14, 17], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:19 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/19, so B = A × (19/17) = 80 × 19/17 = 89.4118.\n</reasoning>\nFinal Answer: 89.4118"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 3 ÷ -913"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 3 by -913. 3 ÷ -913 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 428."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 428 by smallest primes repeatedly: 428 = 2 × 2 × 107.\n</reasoning>\nFinal Answer: 2 × 2 × 107"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:31 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/31, so B = A × (31/37) = 52 × 31/37 = 43.5676.\n</reasoning>\nFinal Answer: 43.5676"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:8 and A = 96, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/8, so B = A × (8/6) = 96 × 8/6 = 128.0.\n</reasoning>\nFinal Answer: 128.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 844 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 844 × (1 + 30/100) = 844 × 1.3 = 1097.2.\n</reasoning>\nFinal Answer: 1097.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [62, 24, 38, 70, 10]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 70 - 10 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "283 is what percentage of 657?"
},
{
"role": "assistant",
"content": "<reasoning>\n(283/657) × 100 = 43.0746%.\n</reasoning>\nFinal Answer: 43.0746%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 353 + -158"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 353 and -158: 353 + -158 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 99 and width 43."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 99 × 43 = 4257.\n</reasoning>\nFinal Answer: 4257"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [93, 60, 68, 57, 53, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [53, 57, 60, 68, 93, 95]. Middle value(s) → median = 64.0.\n</reasoning>\nFinal Answer: 64.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 7/19 + 20/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 7/19 + 20/15. Common denominator = 57. Result = 97/57.\n</reasoning>\nFinal Answer: 97/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 115 km/h. How far does it travel in 5 hours and 22 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 22/60 = 5.3667 hours. Distance = speed × time = 115 × 5.3667 = 617.1667 km.\n</reasoning>\nFinal Answer: 617.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 9 + 7 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 9+49-9=49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A bag has 3 red and 10 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 3/13 = 0.2308.\n</reasoning>\nFinal Answer: 0.2308"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 8, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (21-1)×8 = 38 + 160 = 198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 16 mod -247"
},
{
"role": "assistant",
"content": "<reasoning>\n16 mod -247: 16 = -247 × -1 + -231, so remainder = -231.\n</reasoning>\nFinal Answer: -231"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 15 days. How many days will 16 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 15 = 300 worker-days. New time = 300 / 16 = 18.75 days.\n</reasoning>\nFinal Answer: 18.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 33 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+33) × 35 = 682.5.\n</reasoning>\nFinal Answer: 682.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 16/4 * 5/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/4) × (5/15) = (80/60) = 4/3 after simplification.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -5 = -35"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 2x = -30. Divide by 2: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 158 apples and buys 69 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 158 + 69 = 227.\n</reasoning>\nFinal Answer: 227"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (7 + 4) * (17 - 42)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (7+4)=11, (17-42)=-25, then 11×-25=-275.\n</reasoning>\nFinal Answer: -275"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 44 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 50+1936-41=1945.\n</reasoning>\nFinal Answer: 1945"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -216 × -510"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -216 by -510: -216 × -510 = 110160.\n</reasoning>\nFinal Answer: 110160"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 76 and height 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 76 × 52 = 1976.0.\n</reasoning>\nFinal Answer: 1976.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -19 = 653"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -19 from both sides: 28x = 672. Divide by 28: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
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