messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "If the ratio of A to B is 5:18 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 5/18, so B = A × (18/5) = 19 × 18/5 = 68.4.\n</reasoning>\nFinal Answer: 68.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:34 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/34, so B = A × (34/35) = 76 × 34/35 = 73.8286.\n</reasoning>\nFinal Answer: 73.8286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 2, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (20-1)×2 = 6 + 38 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [77, 8, 75, 47, 64, 44, 12, 36, 8, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 8, 12, 36, 44, 47, 64, 75, 77, 89]. Middle value(s) → median = 45.5.\n</reasoning>\nFinal Answer: 45.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 36, 13 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (36+13) × 44 = 1078.0.\n</reasoning>\nFinal Answer: 1078.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:43 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/43, so B = A × (43/15) = 75 × 43/15 = 215.0.\n</reasoning>\nFinal Answer: 215.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [51, 35, 32, 81, 5, 1, 89, 82, 95, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 5, 32, 35, 51, 81, 82, 86, 89, 95]. Middle value(s) → median = 66.0.\n</reasoning>\nFinal Answer: 66.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 7, 8, 13, 15, 16] and B = [8, 11, 15], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 6, 7, 13, 16].\n</reasoning>\nFinal Answer: [4, 6, 7, 13, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Is 48 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n48 = 2 × 24, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 29, 36 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (29+36) × 26 = 845.0.\n</reasoning>\nFinal Answer: 845.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 47, 42, 20, 33, 47, 29, 100, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 47: 2, 42: 1, 20: 1, 33: 1, 29: 1, 100: 1, 4: 1}. Most frequent: 47.\n</reasoning>\nFinal Answer: 47"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 500 - 620"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 620 from 500: 500 - 620 = -120.\n</reasoning>\nFinal Answer: -120"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "39 is what percentage of 385?"
},
{
"role": "assistant",
"content": "<reasoning>\n(39/385) × 100 = 10.1299%.\n</reasoning>\nFinal Answer: 10.1299%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 972 mod -167"
},
{
"role": "assistant",
"content": "<reasoning>\n972 mod -167: 972 = -167 × -6 + -30, so remainder = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -945 - -617"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -617 from -945: -945 - -617 = -328.\n</reasoning>\nFinal Answer: -328"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -17 = -63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 23x = -46. Divide by 23: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 265 × -769"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 265 by -769: 265 × -769 = -203785.\n</reasoning>\nFinal Answer: -203785"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [23, 57, 94, 46, 88, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {23: 1, 57: 1, 94: 1, 46: 1, 88: 1, 37: 1}. Most frequent: [23, 57, 94, 46, 88, 37].\n</reasoning>\nFinal Answer: [23, 57, 94, 46, 88, 37]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 97 and 87."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(97,87) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 5/18 + 18/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/18 + 18/8. Common denominator = 36. Result = 91/36.\n</reasoning>\nFinal Answer: 91/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 10/4 - 10/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 10/4 - 10/20. LCD = 2. Result = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 10 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+10) × 41 = 738.0.\n</reasoning>\nFinal Answer: 738.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 40) * (37 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+40)=50, (37-39)=-2, then 50×-2=-100.\n</reasoning>\nFinal Answer: -100"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 9, 14, 15, 16, 17] and B = [6, 7, 12, 13, 14, 16, 17, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 6, 7, 9, 12, 13, 14, 15, 16, 17, 19].\n</reasoning>\nFinal Ans... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 88 and height 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 88 × 27 = 2376.\n</reasoning>\nFinal Answer: 2376"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 16 and common difference 19, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 16 + (37-1)×19 = 16 + 684 = 700.\n</reasoning>\nFinal Answer: 700"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 19 and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (19×20)/1 = 380.\n</reasoning>\nFinal Answer: 380"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -769 - 989"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 989 from -769: -769 - 989 = -1758.\n</reasoning>\nFinal Answer: -1758"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 18:24 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 18/24, so B = A × (24/18) = 65 × 24/18 = 86.6667.\n</reasoning>\nFinal Answer: 86.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 851 mod 894"
},
{
"role": "assistant",
"content": "<reasoning>\n851 mod 894: 851 = 894 × 0 + 851, so remainder = 851.\n</reasoning>\nFinal Answer: 851"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 7 * 44 + 27 * 49"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 7×44=308 and 27×49=1323, then add: 1631.\n</reasoning>\nFinal Answer: 1631"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 834 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 834 × (1 - 3/100) = 834 × 0.97 = 808.98.\n</reasoning>\nFinal Answer: 808.98"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 3 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 3 × 38 = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [1, 66, 83, 72, 83, 97, 99, 84, 2, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 1 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 179 × 353"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 179 by 353: 179 × 353 = 63187.\n</reasoning>\nFinal Answer: 63187"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 142 apples and buys 136 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 142 + 136 = 278.\n</reasoning>\nFinal Answer: 278"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 363 mod -644"
},
{
"role": "assistant",
"content": "<reasoning>\n363 mod -644: 363 = -644 × -1 + -281, so remainder = -281.\n</reasoning>\nFinal Answer: -281"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 117 apples and buys 18 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 117 + 18 = 135.\n</reasoning>\nFinal Answer: 135"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹3117. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3117 × 5/100 = 155.85. Total = 3117 + 155.85 = 3272.85.\n</reasoning>\nFinal Answer: 3272.85"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 27 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (27×2)/1 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 48 = -132"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 15x = -180. Divide by 15: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [42, 36, 2, 97, 30, 72, 100, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 467/8 = 58.375.\n</reasoning>\nFinal Answer: 58.375"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 29 and common difference 11, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 29 + (27-1)×11 = 29 + 286 = 315.\n</reasoning>\nFinal Answer: 315"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 28 = -362"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 15x = -390. Divide by 15: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -20 = -1009"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 23x = -989. Divide by 23: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 5/10 * 8/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/10) × (8/11) = (40/110) = 4/11 after simplification.\n</reasoning>\nFinal Answer: 4/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 34 and common difference 7, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 34 + (19-1)×7 = 34 + 126 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 35 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 30+1225-22=1233.\n</reasoning>\nFinal Answer: 1233"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "472 is what percentage of 514?"
},
{
"role": "assistant",
"content": "<reasoning>\n(472/514) × 100 = 91.8288%.\n</reasoning>\nFinal Answer: 91.8288%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 15 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 15²=225, then 12+225-9=228.\n</reasoning>\nFinal Answer: 228"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "12 workers can complete a job in 26 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 12 × 26 = 312 worker-days. New time = 312 / 4 = 78.0 days.\n</reasoning>\nFinal Answer: 78.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:12 and A = 43, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/12, so B = A × (12/8) = 43 × 12/8 = 64.5.\n</reasoning>\nFinal Answer: 64.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 16 = 127"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 3x = 111. Divide by 3: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 17/18 / 1/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/18) ÷ (1/6) = (17/18) × (6/1) = 17/3.\n</reasoning>\nFinal Answer: 17/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 32 * 45 - 2"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 32×45=1440, then 1+1440-2=1439.\n</reasoning>\nFinal Answer: 1439"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -725 - 964"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 964 from -725: -725 - 964 = -1689.\n</reasoning>\nFinal Answer: -1689"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 79 apples and buys 128 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 79 + 128 = 207.\n</reasoning>\nFinal Answer: 207"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -551 ÷ -261"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -551 by -261. -551 ÷ -261 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 472 km apart. Their speeds are 106 km/h and 76 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 106+76=182 km/h. Time = 472/182 = 2.5934 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -164 - -44"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from -164: -164 - -44 = -120.\n</reasoning>\nFinal Answer: -120"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -96 mod -385"
},
{
"role": "assistant",
"content": "<reasoning>\n-96 mod -385: -96 = -385 × 0 + -96, so remainder = -96.\n</reasoning>\nFinal Answer: -96"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 181 mod -660"
},
{
"role": "assistant",
"content": "<reasoning>\n181 mod -660: 181 = -660 × -1 + -479, so remainder = -479.\n</reasoning>\nFinal Answer: -479"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/14 - 10/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/14 - 10/5. LCD = 14. Result = -27/14.\n</reasoning>\nFinal Answer: -27/14"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [8, 74, 33, 81, 37, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 33, 34, 37, 74, 81]. Middle value(s) → median = 35.5.\n</reasoning>\nFinal Answer: 35.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "9 is what percentage of 107?"
},
{
"role": "assistant",
"content": "<reasoning>\n(9/107) × 100 = 8.4112%.\n</reasoning>\nFinal Answer: 8.4112%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 34 ** 2 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 49+1156-10=1195.\n</reasoning>\nFinal Answer: 1195"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (65)x + (200) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 65² - 4×5×200 = 225. √discriminant = 15. x = (-(65) ± 15) / (2×5). Solutions: x = -5 or x = -8.\n</reasoning>\nFinal Answer: x = -5 or x = -8"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the median of: [24, 99, 2, 22, 65, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 4, 22, 24, 65, 99]. Middle value(s) → median = 23.0.\n</reasoning>\nFinal Answer: 23.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 9, 14, 18, 19] and B = [12, 13, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 9, 12, 13, 14, 17, 18, 19].\n</reasoning>\nFinal Answer: [2, 4, 9, 12, 13, 14, 17, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 24 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 24 × 41 = 492.0.\n</reasoning>\nFinal Answer: 492.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹1577 at 6% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 1577 × 6 × 7 / 100 = 662.34.\n</reasoning>\nFinal Answer: 662.34"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:12 and A = 14, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/12, so B = A × (12/11) = 14 × 12/11 = 15.2727.\n</reasoning>\nFinal Answer: 15.2727"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 49 + 41 * 34"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×49=1421 and 41×34=1394, then add: 2815.\n</reasoning>\nFinal Answer: 2815"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/1 / 6/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/1) ÷ (6/14) = (16/1) × (14/6) = 112/3.\n</reasoning>\nFinal Answer: 112/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/14 * 7/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/14) × (7/15) = (91/210) = 13/30 after simplification.\n</reasoning>\nFinal Answer: 13/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 22 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 22 × 37 = 814.\n</reasoning>\nFinal Answer: 814"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 620 ÷ -633"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 620 by -633. 620 ÷ -633 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -39 = -234"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 13x = -195. Divide by 13: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 26 apples and buys 187 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 26 + 187 = 213.\n</reasoning>\nFinal Answer: 213"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [11, 13, 14, 15] and B = [3, 12, 13, 16, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [11, 14, 15].\n</reasoning>\nFinal Answer: [11, 14, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 6/18 * 13/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/18) × (13/16) = (78/288) = 13/48 after simplification.\n</reasoning>\nFinal Answer: 13/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 206 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 206 × (1 - 65/100) = 206 × 0.35 = 72.1.\n</reasoning>\nFinal Answer: 72.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 13 and height 13."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 13 × 13 = 169.\n</reasoning>\nFinal Answer: 169"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 49 = 1063"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 26x = 1014. Divide by 26: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/15 - 11/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/15 - 11/20. LCD = 60. Result = -17/60.\n</reasoning>\nFinal Answer: -17/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 599 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 599 × (1 + 80/100) = 599 × 1.8 = 1078.2.\n</reasoning>\nFinal Answer: 1078.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 18 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 18 = 234 worker-days. New time = 234 / 13 = 18.0 days.\n</reasoning>\nFinal Answer: 18.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 24 = 369"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 15x = 345. Divide by 15: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 35:31 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 35/31, so B = A × (31/35) = 19 × 31/35 = 16.8286.\n</reasoning>\nFinal Answer: 16.8286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -9 = 722"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 17x = 731. Divide by 17: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 754 km apart. Their speeds are 79 km/h and 45 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 79+45=124 km/h. Time = 754/124 = 6.0806 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 6, 8, 17] and B = [8, 9, 10, 11, 15, 18, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 6, 8, 9, 10, 11, 15, 17, 18, 19].\n</reasoning>\nFinal Answer: [2, 4, 6, 8,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "99 is what percentage of 279?"
},
{
"role": "assistant",
"content": "<reasoning>\n(99/279) × 100 = 35.4839%.\n</reasoning>\nFinal Answer: 35.4839%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -40 = -121"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from both sides: 9x = -81. Divide by 9: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 166 and 57."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(166,57) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 463 + -983"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 463 and -983: 463 + -983 = -520.\n</reasoning>\nFinal Answer: -520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 36 and height 70."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 36 × 70 = 1260.0.\n</reasoning>\nFinal Answer: 1260.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "119 is what percentage of 416?"
},
{
"role": "assistant",
"content": "<reasoning>\n(119/416) × 100 = 28.6058%.\n</reasoning>\nFinal Answer: 28.6058%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 45 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(45+99) = 2×144 = 288.\n</reasoning>\nFinal Answer: 288"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -789 × 447"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -789 by 447: -789 × 447 = -352683.\n</reasoning>\nFinal Answer: -352683"
}
] | medium | [
"arithmetic",
"computation"
] |
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