messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 12/6 - 5/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/6 - 5/20. LCD = 4. Result = 7/4.\n</reasoning>\nFinal Answer: 7/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 11, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (11-1)×11 = 38 + 110 = 148.\n</reasoning>\nFinal Answer: 148"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -396 - 805"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 805 from -396: -396 - 805 = -1201.\n</reasoning>\nFinal Answer: -1201"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (12)x + (-36) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 12² - 4×3×-36 = 576. √discriminant = 24. x = (-(12) ± 24) / (2×3). Solutions: x = 2 or x = -6.\n</reasoning>\nFinal Answer: x = 2 or x = -6"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 5 = -220"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 9x = -225. Divide by 9: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "16 workers can complete a job in 26 days. How many days will 7 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 16 × 26 = 416 worker-days. New time = 416 / 7 = 59.4286 days.\n</reasoning>\nFinal Answer: 59.4286"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 70 and 109."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(70,109) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 14/6 + 8/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/6 + 8/12. Common denominator = 3. Result = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 6 = -50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 28x = -56. Divide by 28: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 * 26 + 33 * 1"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 17×26=442 and 33×1=33, then add: 475.\n</reasoning>\nFinal Answer: 475"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 33 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+33) × 41 = 881.5.\n</reasoning>\nFinal Answer: 881.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -18 = -616"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 23x = -598. Divide by 23: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 24 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (24×30)/6 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 6/15 - 6/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/15 - 6/8. LCD = 20. Result = -7/20.\n</reasoning>\nFinal Answer: -7/20"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/13 * 16/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/13) × (16/7) = (96/91) = 96/91 after simplification.\n</reasoning>\nFinal Answer: 96/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:30 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/30, so B = A × (30/4) = 74 × 30/4 = 555.0.\n</reasoning>\nFinal Answer: 555.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 9 and common difference 2, find the 19th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 9 + (19-1)×2 = 9 + 36 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Given A = [3, 7, 9, 11, 13, 14, 16] and B = [1, 2, 6, 12, 13, 15, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 3, 6, 7, 9, 11, 12, 14, 15, 16, 17]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 46 * 45 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×45=2070, then 31+2070-35=2066.\n</reasoning>\nFinal Answer: 2066"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:1 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/1, so B = A × (1/46) = 37 × 1/46 = 0.8043.\n</reasoning>\nFinal Answer: 0.8043"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -471 - 625"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 625 from -471: -471 - 625 = -1096.\n</reasoning>\nFinal Answer: -1096"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -407 - 820"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 820 from -407: -407 - 820 = -1227.\n</reasoning>\nFinal Answer: -1227"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 4 + 6 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×4=104 and 6×46=276, then add: 380.\n</reasoning>\nFinal Answer: 380"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 31 and width 42."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(31+42) = 2×73 = 146.\n</reasoning>\nFinal Answer: 146"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "17 is what percentage of 38?"
},
{
"role": "assistant",
"content": "<reasoning>\n(17/38) × 100 = 44.7368%.\n</reasoning>\nFinal Answer: 44.7368%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Ravi has 152 apples and buys 85 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 152 + 85 = 237.\n</reasoning>\nFinal Answer: 237"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [12, 15, 56, 49, 32, 48, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 257/7 = 36.7143.\n</reasoning>\nFinal Answer: 36.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -36 = 223"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 7x = 259. Divide by 7: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 399 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from 399: 399 - 41 = 358.\n</reasoning>\nFinal Answer: 358"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 97 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 97 × 46 = 4462.\n</reasoning>\nFinal Answer: 4462"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -85 × -752"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -85 by -752: -85 × -752 = 63920.\n</reasoning>\nFinal Answer: 63920"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [97, 21, 20, 52, 80, 47, 82, 33, 37, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 550/10 = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 131 and 146."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(131,146) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29866 at 3% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29866 × 3 × 6 / 100 = 5375.88.\n</reasoning>\nFinal Answer: 5375.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 8, 10, 11, 12, 13, 18] and B = [1, 2, 3, 5, 7, 12, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 4, 5, 7, 8, 10, 11, 12, 13, 15, 18, 19].\n</reasoning>\nFi... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -875 × -380"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -875 by -380: -875 × -380 = 332500.\n</reasoning>\nFinal Answer: 332500"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [32, 41, 50, 59, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 32 and common difference 9. Next term = 68 + 9 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the range of: [43, 43, 35, 61, 79, 92, 73, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 24 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [45, 47, 49, 51, 53]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 45 and common difference 2. Next term = 53 + 2 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:2 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/2, so B = A × (2/10) = 69 × 2/10 = 13.8.\n</reasoning>\nFinal Answer: 13.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 9, 10, 15, 18, 19] and B = [2, 6, 11, 13, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 7, 9, 10, 15, 19].\n</reasoning>\nFinal Answer: [1, 7, 9, 10, 15, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 28) * (47 - 50)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+28)=31, (47-50)=-3, then 31×-3=-93.\n</reasoning>\nFinal Answer: -93"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 60% of 743?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 743 = (60/100) × 743 = 445.8.\n</reasoning>\nFinal Answer: 445.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 12 and common difference 9, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 12 + (16-1)×9 = 12 + 135 = 147.\n</reasoning>\nFinal Answer: 147"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [46, 75, 48, 21, 88, 77, 49, 49, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [21, 46, 48, 49, 49, 75, 77, 88, 89]. Middle value(s) → median = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 24 = -251"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 25x = -275. Divide by 25: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "22 is what percentage of 44?"
},
{
"role": "assistant",
"content": "<reasoning>\n(22/44) × 100 = 50.0%.\n</reasoning>\nFinal Answer: 50.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 12, 15, 17] and B = [3, 4, 7], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 6, 7, 12, 15, 17].\n</reasoning>\nFinal Answer: [1, 3, 4, 6, 7, 12, 15, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "98 is what percentage of 304?"
},
{
"role": "assistant",
"content": "<reasoning>\n(98/304) × 100 = 32.2368%.\n</reasoning>\nFinal Answer: 32.2368%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 90% of 454?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 454 = (90/100) × 454 = 408.6.\n</reasoning>\nFinal Answer: 408.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 32 * 26 + 22 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 32×26=832 and 22×3=66, then add: 898.\n</reasoning>\nFinal Answer: 898"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -198 ÷ 14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -198 by 14. -198 ÷ 14 = -15 (integer division).\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 395 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 395 × (1 - 60/100) = 395 × 0.4 = 158.0.\n</reasoning>\nFinal Answer: 158.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -125 × 176"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -125 by 176: -125 × 176 = -22000.\n</reasoning>\nFinal Answer: -22000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:49 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/49, so B = A × (49/25) = 49 × 49/25 = 96.04.\n</reasoning>\nFinal Answer: 96.04"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49977 at 2% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49977 × 2 × 3 / 100 = 2998.62.\n</reasoning>\nFinal Answer: 2998.62"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/10 + 1/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/10 + 1/3. Common denominator = 30. Result = 61/30.\n</reasoning>\nFinal Answer: 61/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 4 = -84"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 2x = -88. Divide by 2: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 27 + 40 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×27=1350 and 40×33=1320, then add: 2670.\n</reasoning>\nFinal Answer: 2670"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 133 and 98."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(133,98) = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 34, 49 and height 29."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (34+49) × 29 = 1203.5.\n</reasoning>\nFinal Answer: 1203.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 838 mod -857"
},
{
"role": "assistant",
"content": "<reasoning>\n838 mod -857: 838 = -857 × -1 + -19, so remainder = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (15 + 33) * (37 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (15+33)=48, (37-4)=33, then 48×33=1584.\n</reasoning>\nFinal Answer: 1584"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 18/12 * 20/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/12) × (20/4) = (360/48) = 15/2 after simplification.\n</reasoning>\nFinal Answer: 15/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 18 and 136."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(18,136) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 40 = 968"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 29x = 928. Divide by 29: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 116 km/h. How far does it travel in 7 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 2/60 = 7.0333 hours. Distance = speed × time = 116 × 7.0333 = 815.8667 km.\n</reasoning>\nFinal Answer: 815.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [63, 2, 48, 54, 67, 45, 100, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {63: 1, 2: 1, 48: 1, 54: 1, 67: 1, 45: 1, 100: 1, 44: 1}. Most frequent: [63, 2, 48, 54, 67, 45, 100, 44].\n</reasoning>\nFinal Answer: [63, 2, ... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 39 * 39 - 35"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×39=1521, then 18+1521-35=1504.\n</reasoning>\nFinal Answer: 1504"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "462 is what percentage of 808?"
},
{
"role": "assistant",
"content": "<reasoning>\n(462/808) × 100 = 57.1782%.\n</reasoning>\nFinal Answer: 57.1782%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -27 = 413"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 11x = 440. Divide by 11: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 32 = 14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 1x = -18. Divide by 1: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 172 and 129."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(172,129) = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:7 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/7, so B = A × (7/3) = 34 × 7/3 = 79.3333.\n</reasoning>\nFinal Answer: 79.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 2/19 * 7/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/19) × (7/15) = (14/285) = 14/285 after simplification.\n</reasoning>\nFinal Answer: 14/285"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:18 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/18, so B = A × (18/43) = 74 × 18/43 = 30.9767.\n</reasoning>\nFinal Answer: 30.9767"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹3216. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3216 × 28/100 = 900.48. Total = 3216 + 900.48 = 4116.48.\n</reasoning>\nFinal Answer: 4116.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 17:18 and A = 63, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 17/18, so B = A × (18/17) = 63 × 18/17 = 66.7059.\n</reasoning>\nFinal Answer: 66.7059"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 7, 9, 10, 14, 18, 19] and B = [1, 6, 9], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 7, 10, 14, 18, 19].\n</reasoning>\nFinal Answer: [2, 3, 7, 10, 14, 18, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 653 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 653 × (1 + 80/100) = 653 × 1.8 = 1175.4.\n</reasoning>\nFinal Answer: 1175.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 987 ÷ 297"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 987 by 297. 987 ÷ 297 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 2/1 / 19/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (2/1) ÷ (19/8) = (2/1) × (8/19) = 16/19.\n</reasoning>\nFinal Answer: 16/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:40 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/40, so B = A × (40/42) = 74 × 40/42 = 70.4762.\n</reasoning>\nFinal Answer: 70.4762"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 11 and height 76."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 11 × 76 = 418.0.\n</reasoning>\nFinal Answer: 418.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 967 × 837"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 967 by 837: 967 × 837 = 809379.\n</reasoning>\nFinal Answer: 809379"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 67 and width 91."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 67 × 91 = 6097.\n</reasoning>\nFinal Answer: 6097"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 647 + 715"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 647 and 715: 647 + 715 = 1362.\n</reasoning>\nFinal Answer: 1362"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 30 and common difference 8, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 30 + (15-1)×8 = 30 + 112 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 388 - -703"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -703 from 388: 388 - -703 = 1091.\n</reasoning>\nFinal Answer: 1091"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 9 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 9 = 171 worker-days. New time = 171 / 18 = 9.5 days.\n</reasoning>\nFinal Answer: 9.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -301 ÷ 275"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -301 by 275. -301 ÷ 275 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 894 × 496"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 894 by 496: 894 × 496 = 443424.\n</reasoning>\nFinal Answer: 443424"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 98 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 98 × 16 = 1568.\n</reasoning>\nFinal Answer: 1568"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 35) * (30 - 33)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+35)=70, (30-33)=-3, then 70×-3=-210.\n</reasoning>\nFinal Answer: -210"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "225 is what percentage of 580?"
},
{
"role": "assistant",
"content": "<reasoning>\n(225/580) × 100 = 38.7931%.\n</reasoning>\nFinal Answer: 38.7931%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 26 = -74"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 4x = -100. Divide by 4: x = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 274 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 274 × (1 + 60/100) = 274 × 1.6 = 438.4.\n</reasoning>\nFinal Answer: 438.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 48 = 642"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 22x = 594. Divide by 22: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 24) * (11 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+24)=65, (11-26)=-15, then 65×-15=-975.\n</reasoning>\nFinal Answer: -975"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 473 × 569"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 473 by 569: 473 × 569 = 269137.\n</reasoning>\nFinal Answer: 269137"
}
] | medium | [
"arithmetic",
"computation"
] |
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