messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 11 * 23 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 11×23=253, then 8+253-40=221.\n</reasoning>\nFinal Answer: 221"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 19 and width 97."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(19+97) = 2×116 = 232.\n</reasoning>\nFinal Answer: 232"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:12 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/12, so B = A × (12/21) = 72 × 12/21 = 41.1429.\n</reasoning>\nFinal Answer: 41.1429"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 13 and height 88."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 13 × 88 = 1144.\n</reasoning>\nFinal Answer: 1144"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 3/16 - 12/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/16 - 12/19. LCD = 304. Result = -135/304.\n</reasoning>\nFinal Answer: -135/304"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 4, 8, 10, 11] and B = [4, 7, 8, 10, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 4, 7, 8, 10, 11, 16].\n</reasoning>\nFinal Answer: [1, 2, 4, 7, 8, 10, 11, 16]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 44 * 38 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 44×38=1672, then 47+1672-22=1697.\n</reasoning>\nFinal Answer: 1697"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:38 and A = 2, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/38, so B = A × (38/26) = 2 × 38/26 = 2.9231.\n</reasoning>\nFinal Answer: 2.9231"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -29 = -29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 6x = 0. Divide by 6: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -497 - 299"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 299 from -497: -497 - 299 = -796.\n</reasoning>\nFinal Answer: -796"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 512 ÷ 746"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 512 by 746. 512 ÷ 746 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [56, 45, 41, 17, 11, 4, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 11, 17, 26, 41, 45, 56]. Middle value(s) → median = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 26) * (49 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+26)=34, (49-26)=23, then 34×23=782.\n</reasoning>\nFinal Answer: 782"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:1 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/1, so B = A × (1/17) = 68 × 1/17 = 4.0.\n</reasoning>\nFinal Answer: 4.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 376 + 866"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 376 and 866: 376 + 866 = 1242.\n</reasoning>\nFinal Answer: 1242"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 38 * 37 + 47 * 23"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 38×37=1406 and 47×23=1081, then add: 2487.\n</reasoning>\nFinal Answer: 2487"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 48 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(48+39) = 2×87 = 174.\n</reasoning>\nFinal Answer: 174"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 4, 48 and height 26."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (4+48) × 26 = 676.0.\n</reasoning>\nFinal Answer: 676.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A train travels at 151 km/h. How far does it travel in 1 hours and 23 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 23/60 = 1.3833 hours. Distance = speed × time = 151 × 1.3833 = 208.8833 km.\n</reasoning>\nFinal Answer: 208.8833"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 35) * (13 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+35)=70, (13-8)=5, then 70×5=350.\n</reasoning>\nFinal Answer: 350"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 859 + -978"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 859 and -978: 859 + -978 = -119.\n</reasoning>\nFinal Answer: -119"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 72 and width 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 72 × 50 = 3600.\n</reasoning>\nFinal Answer: 3600"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹2996 at 14% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 2996 × 14 × 3 / 100 = 1258.32.\n</reasoning>\nFinal Answer: 1258.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [85, 6, 61, 53, 54, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 85 - 6 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 76 and width 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 76 × 7 = 532.\n</reasoning>\nFinal Answer: 532"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -541 × -682"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -541 by -682: -541 × -682 = 368962.\n</reasoning>\nFinal Answer: 368962"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 7, 8, 11] and B = [4, 9, 11, 12], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [11].\n</reasoning>\nFinal Answer: [11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 43 * 39 - 31"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×39=1677, then 47+1677-31=1693.\n</reasoning>\nFinal Answer: 1693"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -739 ÷ -867"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -739 by -867. -739 ÷ -867 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [13, 24, 35, 46, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 13 and common difference 11. Next term = 57 + 11 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:38 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/38, so B = A × (38/14) = 35 × 38/14 = 95.0.\n</reasoning>\nFinal Answer: 95.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 145 ÷ 606"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 145 by 606. 145 ÷ 606 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 24 = 104"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 4x = 80. Divide by 4: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 45) * (32 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+45)=76, (32-4)=28, then 76×28=2128.\n</reasoning>\nFinal Answer: 2128"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -396 × -390"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -396 by -390: -396 × -390 = 154440.\n</reasoning>\nFinal Answer: 154440"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (43 + 34) * (8 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (43+34)=77, (8-34)=-26, then 77×-26=-2002.\n</reasoning>\nFinal Answer: -2002"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 253 km apart. Their speeds are 120 km/h and 99 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 120+99=219 km/h. Time = 253/219 = 1.1553 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -760 ÷ 302"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -760 by 302. -760 ÷ 302 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 585 mod 129"
},
{
"role": "assistant",
"content": "<reasoning>\n585 mod 129: 585 = 129 × 4 + 69, so remainder = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 42 and common difference 10, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 42 + (45-1)×10 = 42 + 440 = 482.\n</reasoning>\nFinal Answer: 482"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [5, 12, 17] and B = [4, 6, 8, 9, 11, 14, 18, 19], 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 11:25 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/25, so B = A × (25/11) = 68 × 25/11 = 154.5455.\n</reasoning>\nFinal Answer: 154.5455"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:21 and A = 57, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/21, so B = A × (21/14) = 57 × 21/14 = 85.5.\n</reasoning>\nFinal Answer: 85.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:39 and A = 26, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/39, so B = A × (39/11) = 26 × 39/11 = 92.1818.\n</reasoning>\nFinal Answer: 92.1818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 11 and common difference 17, find the 12th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 11 + (12-1)×17 = 11 + 187 = 198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 14 + 1 ** 2 - 1"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 1²=1, then 14+1-1=14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11027 at 11% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11027 × 11 × 7 / 100 = 8490.79.\n</reasoning>\nFinal Answer: 8490.79"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 96 and 76."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(96,76) = 4.\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6958 at 13% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6958 × 13 × 9 / 100 = 8140.86.\n</reasoning>\nFinal Answer: 8140.86"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:12 and A = 5, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/12, so B = A × (12/23) = 5 × 12/23 = 2.6087.\n</reasoning>\nFinal Answer: 2.6087"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 * 1/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/16) × (1/4) = (15/64) = 15/64 after simplification.\n</reasoning>\nFinal Answer: 15/64"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 5 and 5."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (5×5)/5 = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 87 and width 58."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(87+58) = 2×145 = 290.\n</reasoning>\nFinal Answer: 290"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [75, 43, 92, 33, 90, 23, 83, 79, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {75: 1, 43: 1, 92: 1, 33: 1, 90: 1, 23: 1, 83: 1, 79: 1, 69: 1}. Most frequent: [75, 43, 92, 33, 90, 23, 83, 79, 69].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 85 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 85 × 68 = 5780.\n</reasoning>\nFinal Answer: 5780"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 25 and 164."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(25,164) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -38 = 1132"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -38 from both sides: 26x = 1170. Divide by 26: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 936 + -659"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 936 and -659: 936 + -659 = 277.\n</reasoning>\nFinal Answer: 277"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-28)x + (40) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -28² - 4×4×40 = 144. √discriminant = 12. x = (-(-28) ± 12) / (2×4). Solutions: x = 2 or x = 5.\n</reasoning>\nFinal Answer: x = 2 or x = 5"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 16/6 * 11/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/6) × (11/6) = (176/36) = 44/9 after simplification.\n</reasoning>\nFinal Answer: 44/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 65% of 967?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 967 = (65/100) × 967 = 628.55.\n</reasoning>\nFinal Answer: 628.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 702 km apart. Their speeds are 91 km/h and 94 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 91+94=185 km/h. Time = 702/185 = 3.7946 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -28 = 616"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 14x = 644. Divide by 14: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 195 apples and buys 121 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 195 + 121 = 316.\n</reasoning>\nFinal Answer: 316"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [88, 85, 27, 64, 33, 94, 95, 10, 95, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 645/10 = 64.5.\n</reasoning>\nFinal Answer: 64.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 10, 13, 16] and B = [7, 10, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 4, 13, 16].\n</reasoning>\nFinal Answer: [3, 4, 13, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [66, 63, 54, 47, 70, 68, 25]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 393/7 = 56.1429.\n</reasoning>\nFinal Answer: 56.1429"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 67 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 67 × 84 = 2814.0.\n</reasoning>\nFinal Answer: 2814.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 75% of 309?"
},
{
"role": "assistant",
"content": "<reasoning>\n75% of 309 = (75/100) × 309 = 231.75.\n</reasoning>\nFinal Answer: 231.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [23, 31, 39, 47, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 23 and common difference 8. Next term = 55 + 8 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -172 ÷ -995"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -172 by -995. -172 ÷ -995 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 305 ÷ 711"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 305 by 711. 305 ÷ 711 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:44 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/44, so B = A × (44/9) = 50 × 44/9 = 244.4444.\n</reasoning>\nFinal Answer: 244.4444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 565 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 565 × (1 + 30/100) = 565 × 1.3 = 734.5.\n</reasoning>\nFinal Answer: 734.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:28 and A = 41, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/28, so B = A × (28/39) = 41 × 28/39 = 29.4359.\n</reasoning>\nFinal Answer: 29.4359"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -16 = -92"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 19x = -76. Divide by 19: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 22 apples and buys 47 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 22 + 47 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:36 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/36, so B = A × (36/8) = 20 × 36/8 = 90.0.\n</reasoning>\nFinal Answer: 90.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 11 + 28 * 41 - 38"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×41=1148, then 11+1148-38=1121.\n</reasoning>\nFinal Answer: 1121"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 26 = -676"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 18x = -702. Divide by 18: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 3) * (46 - 20)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+3)=44, (46-20)=26, then 44×26=1144.\n</reasoning>\nFinal Answer: 1144"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:15 and A = 55, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/15, so B = A × (15/12) = 55 × 15/12 = 68.75.\n</reasoning>\nFinal Answer: 68.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 5 and width 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 5 × 10 = 50.\n</reasoning>\nFinal Answer: 50"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "152 is what percentage of 489?"
},
{
"role": "assistant",
"content": "<reasoning>\n(152/489) × 100 = 31.0838%.\n</reasoning>\nFinal Answer: 31.0838%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the median of: [82, 5, 48, 27, 56, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 27, 48, 56, 82, 98]. Middle value(s) → median = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 417."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 417 by smallest primes repeatedly: 417 = 3 × 139.\n</reasoning>\nFinal Answer: 3 × 139"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Simplify: 17/9 * 4/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/9) × (4/12) = (68/108) = 17/27 after simplification.\n</reasoning>\nFinal Answer: 17/27"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 146 apples and buys 1 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 146 + 1 = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 5, 20 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (5+20) × 15 = 187.5.\n</reasoning>\nFinal Answer: 187.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 3 = -2"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 1x = -5. Divide by 1: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "2 workers can complete a job in 17 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 2 × 17 = 34 worker-days. New time = 34 / 9 = 3.7778 days.\n</reasoning>\nFinal Answer: 3.7778"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1925. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1925 × 5/100 = 96.25. Total = 1925 + 96.25 = 2021.25.\n</reasoning>\nFinal Answer: 2021.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Is 69 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n69 = 3 × 23, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Given A = [1, 9, 10, 12, 16, 17] and B = [5, 6, 7, 13, 18], 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": "An item costs ₹3687. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3687 × 28/100 = 1032.36. Total = 3687 + 1032.36 = 4719.36.\n</reasoning>\nFinal Answer: 4719.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 28 and width 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 28 × 16 = 448.\n</reasoning>\nFinal Answer: 448"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [6, 14, 22, 30, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 6 and common difference 8. Next term = 38 + 8 = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [20, 58, 85, 61, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 316/5 = 63.2.\n</reasoning>\nFinal Answer: 63.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [71, 57, 91, 11, 36, 72, 77, 19, 87, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 540/10 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 821 km apart. Their speeds are 99 km/h and 84 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 99+84=183 km/h. Time = 821/183 = 4.4863 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
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