messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a rectangle with length 41 and width 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 41 × 9 = 369.\n</reasoning>\nFinal Answer: 369"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 9/10 + 5/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/10 + 5/10. Common denominator = 10. Result = 7/5.\n</reasoning>\nFinal Answer: 7/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 142 mod 175"
},
{
"role": "assistant",
"content": "<reasoning>\n142 mod 175: 142 = 175 × 0 + 142, so remainder = 142.\n</reasoning>\nFinal Answer: 142"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 63 km/h. How far does it travel in 11 hours and 43 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 43/60 = 11.7167 hours. Distance = speed × time = 63 × 11.7167 = 738.15 km.\n</reasoning>\nFinal Answer: 738.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 48 and common difference 15, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 48 + (47-1)×15 = 48 + 690 = 738.\n</reasoning>\nFinal Answer: 738"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 517 mod 714"
},
{
"role": "assistant",
"content": "<reasoning>\n517 mod 714: 517 = 714 × 0 + 517, so remainder = 517.\n</reasoning>\nFinal Answer: 517"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 515 + -643"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 515 and -643: 515 + -643 = -128.\n</reasoning>\nFinal Answer: -128"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/10 + 2/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/10 + 2/2. Common denominator = 10. Result = 11/10.\n</reasoning>\nFinal Answer: 11/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 857 mod -779"
},
{
"role": "assistant",
"content": "<reasoning>\n857 mod -779: 857 = -779 × -2 + -701, so remainder = -701.\n</reasoning>\nFinal Answer: -701"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/5 / 8/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/5) ÷ (8/11) = (11/5) × (11/8) = 121/40.\n</reasoning>\nFinal Answer: 121/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 + 20/11"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 15/16 + 20/11. Common denominator = 176. Result = 485/176.\n</reasoning>\nFinal Answer: 485/176"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18790 at 18% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18790 × 18 × 1 / 100 = 3382.2.\n</reasoning>\nFinal Answer: 3382.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 8/11 * 16/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (8/11) × (16/6) = (128/66) = 64/33 after simplification.\n</reasoning>\nFinal Answer: 64/33"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 7, 11] and B = [3, 4, 9, 10, 14, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 3, 4, 7, 9, 10, 11, 14, 15].\n</reasoning>\nFinal Answer:... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 39 + 39 * 14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×39=1326 and 39×14=546, then add: 1872.\n</reasoning>\nFinal Answer: 1872"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 69 and width 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(69+38) = 2×107 = 214.\n</reasoning>\nFinal Answer: 214"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 612 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 612 × (1 + 60/100) = 612 × 1.6 = 979.2.\n</reasoning>\nFinal Answer: 979.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "9 is what percentage of 364?"
},
{
"role": "assistant",
"content": "<reasoning>\n(9/364) × 100 = 2.4725%.\n</reasoning>\nFinal Answer: 2.4725%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 100 and width 54."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(100+54) = 2×154 = 308.\n</reasoning>\nFinal Answer: 308"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 16 = -278"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 7x = -294. Divide by 7: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 33, 32 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (33+32) × 37 = 1202.5.\n</reasoning>\nFinal Answer: 1202.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [42, 57, 72, 87, 102]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 42 and common difference 15. Next term = 102 + 15 = 117.\n</reasoning>\nFinal Answer: 117"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [33, 14, 100, 50, 53, 87, 70, 56, 99]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 562/9 = 62.4444.\n</reasoning>\nFinal Answer: 62.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 70 and height 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 70 × 51 = 3570.\n</reasoning>\nFinal Answer: 3570"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (45 + 36) * (20 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (45+36)=81, (20-32)=-12, then 81×-12=-972.\n</reasoning>\nFinal Answer: -972"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -232 mod -603"
},
{
"role": "assistant",
"content": "<reasoning>\n-232 mod -603: -232 = -603 × 0 + -232, so remainder = -232.\n</reasoning>\nFinal Answer: -232"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [9, 100, 43, 84, 73, 43, 46, 96, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {9: 1, 100: 1, 43: 2, 84: 1, 73: 1, 46: 1, 96: 1, 51: 1}. Most frequent: 43.\n</reasoning>\nFinal Answer: 43"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 47:25 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 47/25, so B = A × (25/47) = 62 × 25/47 = 32.9787.\n</reasoning>\nFinal Answer: 32.9787"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [3, 81, 43, 41, 1, 56, 24, 22, 64, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 1 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 6/17 + 9/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/17 + 9/4. Common denominator = 68. Result = 177/68.\n</reasoning>\nFinal Answer: 177/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 65% of 127?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 127 = (65/100) × 127 = 82.55.\n</reasoning>\nFinal Answer: 82.55"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 154 apples and buys 22 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 154 + 22 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 6 × 249"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 6 by 249: 6 × 249 = 1494.\n</reasoning>\nFinal Answer: 1494"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 38 = -666"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 38 from both sides: 22x = -704. Divide by 22: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/16 - 13/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/16 - 13/4. LCD = 8. Result = -17/8.\n</reasoning>\nFinal Answer: -17/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 700 ÷ 918"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 700 by 918. 700 ÷ 918 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/19 - 9/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 1/19 - 9/5. LCD = 95. Result = -166/95.\n</reasoning>\nFinal Answer: -166/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 5 + -589"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 5 and -589: 5 + -589 = -584.\n</reasoning>\nFinal Answer: -584"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [99, 68, 77, 12, 50, 94, 20, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 15, 20, 50, 68, 77, 94, 99]. Middle value(s) → median = 59.0.\n</reasoning>\nFinal Answer: 59.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -228 ÷ 951"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -228 by 951. -228 ÷ 951 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 349 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 349 × (1 - 65/100) = 349 × 0.35 = 122.15.\n</reasoning>\nFinal Answer: 122.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -4 = 110"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 19x = 114. Divide by 19: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 20 and 46."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (20×46)/2 = 460.\n</reasoning>\nFinal Answer: 460"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 76 and 153."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(76,153) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -909 - 222"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 222 from -909: -909 - 222 = -1131.\n</reasoning>\nFinal Answer: -1131"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -135 - -228"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -228 from -135: -135 - -228 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/13 - 18/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/13 - 18/4. LCD = 26. Result = -101/26.\n</reasoning>\nFinal Answer: -101/26"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 1/19 / 4/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/19) ÷ (4/6) = (1/19) × (6/4) = 3/38.\n</reasoning>\nFinal Answer: 3/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 147 km/h. How far does it travel in 4 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 5/60 = 4.0833 hours. Distance = speed × time = 147 × 4.0833 = 600.25 km.\n</reasoning>\nFinal Answer: 600.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 16 = -335"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 27x = -351. Divide by 27: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 7, 11, 12] and B = [1, 3, 8, 10, 13, 14, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 6, 7, 8, 10, 11, 12, 13, 14, 17].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 34) * (44 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+34)=67, (44-34)=10, then 67×10=670.\n</reasoning>\nFinal Answer: 670"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 302 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 302 × (1 + 40/100) = 302 × 1.4 = 422.8.\n</reasoning>\nFinal Answer: 422.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/20 - 4/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/20 - 4/14. LCD = 140. Result = -19/140.\n</reasoning>\nFinal Answer: -19/140"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 46 + 11 ** 2 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 46+121-18=149.\n</reasoning>\nFinal Answer: 149"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 49 = 59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 2x = 10. Divide by 2: x = 5.\n</reasoning>\nFinal Answer: 5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [15, 3, 81, 86, 80, 84, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 15, 16, 80, 81, 84, 86]. Middle value(s) → median = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 81 and width 56."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(81+56) = 2×137 = 274.\n</reasoning>\nFinal Answer: 274"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:21 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/21, so B = A × (21/32) = 25 × 21/32 = 16.4062.\n</reasoning>\nFinal Answer: 16.4062"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [20, 98, 44, 35, 29, 52, 48, 76, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [20, 24, 29, 35, 44, 48, 52, 76, 98]. Middle value(s) → median = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -45 = -357"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 12x = -312. Divide by 12: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 33 = -79"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 8x = -112. Divide by 8: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 70 mod -815"
},
{
"role": "assistant",
"content": "<reasoning>\n70 mod -815: 70 = -815 × -1 + -745, so remainder = -745.\n</reasoning>\nFinal Answer: -745"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "500 is what percentage of 601?"
},
{
"role": "assistant",
"content": "<reasoning>\n(500/601) × 100 = 83.1947%.\n</reasoning>\nFinal Answer: 83.1947%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 49 and height 2."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+49) × 2 = 71.0.\n</reasoning>\nFinal Answer: 71.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 * 26 + 11 * 9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 27×26=702 and 11×9=99, then add: 801.\n</reasoning>\nFinal Answer: 801"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 6, 10, and 12."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 6 + 10 + 12 = 28.\n</reasoning>\nFinal Answer: 28"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -20 = 16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -20 from both sides: 6x = 36. Divide by 6: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -212 + 287"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -212 and 287: -212 + 287 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -431 - -427"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -427 from -431: -431 - -427 = -4.\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 42 = 1358"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 28x = 1316. Divide by 28: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -32 = 220"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 9x = 252. Divide by 9: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 199 and 182."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(199,182) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:5 and A = 59, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/5, so B = A × (5/12) = 59 × 5/12 = 24.5833.\n</reasoning>\nFinal Answer: 24.5833"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -45 = -390"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 15x = -345. Divide by 15: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -27 = 939"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -27 from both sides: 21x = 966. Divide by 21: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 634 km apart. Their speeds are 72 km/h and 47 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 72+47=119 km/h. Time = 634/119 = 5.3277 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 122 km/h. How far does it travel in 1 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 25/60 = 1.4167 hours. Distance = speed × time = 122 × 1.4167 = 172.8333 km.\n</reasoning>\nFinal Answer: 172.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29156 at 17% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29156 × 17 × 3 / 100 = 14869.56.\n</reasoning>\nFinal Answer: 14869.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -9 = -884"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 25x = -875. Divide by 25: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 3/5 - 18/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/5 - 18/16. LCD = 40. Result = -21/40.\n</reasoning>\nFinal Answer: -21/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/17 + 12/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 11/17 + 12/18. Common denominator = 51. Result = 67/51.\n</reasoning>\nFinal Answer: 67/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/8 / 17/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/8) ÷ (17/13) = (11/8) × (13/17) = 143/136.\n</reasoning>\nFinal Answer: 143/136"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Is 154 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n154 = 2 × 77, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 36 and 19."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (36×19)/1 = 684.\n</reasoning>\nFinal Answer: 684"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -45 = 1008"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 27x = 1053. Divide by 27: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:13 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/13, so B = A × (13/44) = 69 × 13/44 = 20.3864.\n</reasoning>\nFinal Answer: 20.3864"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -494 + 204"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -494 and 204: -494 + 204 = -290.\n</reasoning>\nFinal Answer: -290"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 4, 6, 11, 12] and B = [2, 13, 15, 16, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 3, 4, 6, 11, 12].\n</reasoning>\nFinal Answer: [1, 3, 4, 6, 11, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 709 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 709 × (1 + 3/100) = 709 × 1.03 = 730.27.\n</reasoning>\nFinal Answer: 730.27"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹49101 at 18% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 49101 × 18 × 8 / 100 = 70705.44.\n</reasoning>\nFinal Answer: 70705.44"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 396 - -30"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from 396: 396 - -30 = 426.\n</reasoning>\nFinal Answer: 426"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -783 ÷ -412"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -783 by -412. -783 ÷ -412 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 43 = -177"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 43 from both sides: 22x = -220. Divide by 22: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -128 ÷ 108"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -128 by 108. -128 ÷ 108 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:21 and A = 100, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/21, so B = A × (21/24) = 100 × 21/24 = 87.5.\n</reasoning>\nFinal Answer: 87.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -37 = -223"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 6x = -186. Divide by 6: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 597 × 218"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 597 by 218: 597 × 218 = 130146.\n</reasoning>\nFinal Answer: 130146"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29545 at 19% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29545 × 19 × 1 / 100 = 5613.55.\n</reasoning>\nFinal Answer: 5613.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 98 and 180."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(98,180) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
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