messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 14/7 * 1/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/7) × (1/9) = (14/63) = 2/9 after simplification.\n</reasoning>\nFinal Answer: 2/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/18 * 1/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/18) × (1/10) = (15/180) = 1/12 after simplification.\n</reasoning>\nFinal Answer: 1/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 17 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (17×24)/1 = 408.\n</reasoning>\nFinal Answer: 408"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 33. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 33 ≈ 207.3451.\n</reasoning>\nFinal Answer: 207.3451"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "Calculate: 684 ÷ -570"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 684 by -570. 684 ÷ -570 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 35 ** 2 - 3"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 25+1225-3=1247.\n</reasoning>\nFinal Answer: 1247"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:40 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/40, so B = A × (40/30) = 24 × 40/30 = 32.0.\n</reasoning>\nFinal Answer: 32.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -14 = -392"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 27x = -378. Divide by 27: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -31 = -142"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 3x = -111. Divide by 3: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -1 = 999"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 20x = 1000. Divide by 20: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 7 + 34 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×7=161 and 34×26=884, then add: 1045.\n</reasoning>\nFinal Answer: 1045"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 11] and B = [6, 8, 12, 15, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 2, 5, 6, 8, 11, 12, 15, 16, 18].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (33 + 33) * (3 - 13)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (33+33)=66, (3-13)=-10, then 66×-10=-660.\n</reasoning>\nFinal Answer: -660"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -856 ÷ -693"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -856 by -693. -856 ÷ -693 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 40 * 14 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 40×14=560, then 42+560-4=598.\n</reasoning>\nFinal Answer: 598"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 46 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (46×8)/2 = 184.\n</reasoning>\nFinal Answer: 184"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: -847 ÷ 19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -847 by 19. -847 ÷ 19 = -45 (integer division).\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -23 = 91"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 19x = 114. Divide by 19: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 176 × 186"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 176 by 186: 176 × 186 = 32736.\n</reasoning>\nFinal Answer: 32736"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -28 = 588"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 22x = 616. Divide by 22: x = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/6 - 7/15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/6 - 7/15. LCD = 15. Result = -2/15.\n</reasoning>\nFinal Answer: -2/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹26172 at 9% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 26172 × 9 × 5 / 100 = 11777.4.\n</reasoning>\nFinal Answer: 11777.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1187. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1187 × 28/100 = 332.36. Total = 1187 + 332.36 = 1519.36.\n</reasoning>\nFinal Answer: 1519.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -367 + 729"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -367 and 729: -367 + 729 = 362.\n</reasoning>\nFinal Answer: 362"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 44, 7 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (44+7) × 46 = 1173.0.\n</reasoning>\nFinal Answer: 1173.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (49 + 2) * (30 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (49+2)=51, (30-36)=-6, then 51×-6=-306.\n</reasoning>\nFinal Answer: -306"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/10 * 8/20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/10) × (8/20) = (88/200) = 11/25 after simplification.\n</reasoning>\nFinal Answer: 11/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 872 + 653"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 872 and 653: 872 + 653 = 1525.\n</reasoning>\nFinal Answer: 1525"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 514 - -593"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -593 from 514: 514 - -593 = 1107.\n</reasoning>\nFinal Answer: 1107"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 25 = 515"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 14x = 490. Divide by 14: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 2) * (27 - 47)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+2)=3, (27-47)=-20, then 3×-20=-60.\n</reasoning>\nFinal Answer: -60"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 19/15 + 17/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/15 + 17/2. Common denominator = 30. Result = 293/30.\n</reasoning>\nFinal Answer: 293/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [50, 17, 5, 58, 94, 64, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {50: 1, 17: 1, 5: 1, 58: 1, 94: 1, 64: 1, 51: 1}. Most frequent: [50, 17, 5, 58, 94, 64, 51].\n</reasoning>\nFinal Answer: [50, 17, 5, 58, 94, 64, 51... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -8 = -95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 29x = -87. Divide by 29: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/3 - 3/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/3 - 3/8. LCD = 24. Result = 7/24.\n</reasoning>\nFinal Answer: 7/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:45 and A = 74, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/45, so B = A × (45/22) = 74 × 45/22 = 151.3636.\n</reasoning>\nFinal Answer: 151.3636"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -693 ÷ 418"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -693 by 418. -693 ÷ 418 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -12 = -272"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 26x = -260. Divide by 26: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "787 is what percentage of 813?"
},
{
"role": "assistant",
"content": "<reasoning>\n(787/813) × 100 = 96.802%.\n</reasoning>\nFinal Answer: 96.802%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 20/8 + 1/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/8 + 1/18. Common denominator = 18. Result = 23/9.\n</reasoning>\nFinal Answer: 23/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [77, 91, 98, 52, 75, 10, 49, 33, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [10, 22, 33, 49, 52, 75, 77, 91, 98]. Middle value(s) → median = 52.\n</reasoning>\nFinal Answer: 52"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 31 = 427"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 31 from both sides: 12x = 396. Divide by 12: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 30 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 30 = 540 worker-days. New time = 540 / 17 = 31.7647 days.\n</reasoning>\nFinal Answer: 31.7647"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:38 and A = 76, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/38, so B = A × (38/10) = 76 × 38/10 = 288.8.\n</reasoning>\nFinal Answer: 288.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 42 = -522"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 12x = -564. Divide by 12: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/6 + 18/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/6 + 18/13. Common denominator = 39. Result = 80/39.\n</reasoning>\nFinal Answer: 80/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 87 apples and buys 42 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 87 + 42 = 129.\n</reasoning>\nFinal Answer: 129"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 0 + 392"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 0 and 392: 0 + 392 = 392.\n</reasoning>\nFinal Answer: 392"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 673 × -110"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 673 by -110: 673 × -110 = -74030.\n</reasoning>\nFinal Answer: -74030"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/6 * 14/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/6) × (14/10) = (238/60) = 119/30 after simplification.\n</reasoning>\nFinal Answer: 119/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [74, 92, 86, 97, 4, 40, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 4 = 93.\n</reasoning>\nFinal Answer: 93"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 + 36 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 4+1296-20=1280.\n</reasoning>\nFinal Answer: 1280"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 36 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 17+1296-42=1271.\n</reasoning>\nFinal Answer: 1271"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 25 + 12 * 3 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×3=36, then 25+36-4=57.\n</reasoning>\nFinal Answer: 57"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 0 = -24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 8x = -24. Divide by 8: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [31, 64, 3, 18, 98, 69, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 3 = 95.\n</reasoning>\nFinal Answer: 95"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -472 mod -488"
},
{
"role": "assistant",
"content": "<reasoning>\n-472 mod -488: -472 = -488 × 0 + -472, so remainder = -472.\n</reasoning>\nFinal Answer: -472"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -48 = 854"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -48 from both sides: 22x = 902. Divide by 22: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 49 and width 57."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 49 × 57 = 2793.\n</reasoning>\nFinal Answer: 2793"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -213 + 949"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -213 and 949: -213 + 949 = 736.\n</reasoning>\nFinal Answer: 736"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 15 + 48 * 12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×15=90 and 48×12=576, then add: 666.\n</reasoning>\nFinal Answer: 666"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 32 = 10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 2x = -22. Divide by 2: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "An item costs ₹1901. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1901 × 28/100 = 532.28. Total = 1901 + 532.28 = 2433.28.\n</reasoning>\nFinal Answer: 2433.28"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 840 - -198"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -198 from 840: 840 - -198 = 1038.\n</reasoning>\nFinal Answer: 1038"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (23 + 2) * (8 - 19)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (23+2)=25, (8-19)=-11, then 25×-11=-275.\n</reasoning>\nFinal Answer: -275"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31243 at 10% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31243 × 10 × 7 / 100 = 21870.1.\n</reasoning>\nFinal Answer: 21870.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/7 + 17/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/7 + 17/3. Common denominator = 21. Result = 155/21.\n</reasoning>\nFinal Answer: 155/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 21 + 39 * 45 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×45=1755, then 21+1755-25=1751.\n</reasoning>\nFinal Answer: 1751"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 136 and 153."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(136,153) = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 8, 30, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 8 + 30 + 35 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 7 = -722"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 7 from both sides: 27x = -729. Divide by 27: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 867 × -754"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 867 by -754: 867 × -754 = -653718.\n</reasoning>\nFinal Answer: -653718"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 496 - -572"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -572 from 496: 496 - -572 = 1068.\n</reasoning>\nFinal Answer: 1068"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 58 and width 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 58 × 39 = 2262.\n</reasoning>\nFinal Answer: 2262"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 5/14 * 14/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/14) × (14/13) = (70/182) = 5/13 after simplification.\n</reasoning>\nFinal Answer: 5/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 25 + 9 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×25=1125 and 9×36=324, then add: 1449.\n</reasoning>\nFinal Answer: 1449"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹46236 at 17% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 46236 × 17 × 8 / 100 = 62880.96.\n</reasoning>\nFinal Answer: 62880.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 963 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 963 × (1 + 60/100) = 963 × 1.6 = 1540.8.\n</reasoning>\nFinal Answer: 1540.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 40 = -766"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from both sides: 26x = -806. Divide by 26: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 187 - 118"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 118 from 187: 187 - 118 = 69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -43 = 195"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 14x = 238. Divide by 14: x = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 13, 14 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (13+14) × 50 = 675.0.\n</reasoning>\nFinal Answer: 675.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -833 ÷ 558"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -833 by 558. -833 ÷ 558 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 70 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 70 × 36 = 2520.\n</reasoning>\nFinal Answer: 2520"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 148 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(148,7) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -16 = -698"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 22x = -682. Divide by 22: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 * 6/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/16) × (6/4) = (90/64) = 45/32 after simplification.\n</reasoning>\nFinal Answer: 45/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 69 mod -193"
},
{
"role": "assistant",
"content": "<reasoning>\n69 mod -193: 69 = -193 × -1 + -124, so remainder = -124.\n</reasoning>\nFinal Answer: -124"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 21 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 21 × 37 = 388.5.\n</reasoning>\nFinal Answer: 388.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 23 * 48 + 11 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 23×48=1104 and 11×20=220, then add: 1324.\n</reasoning>\nFinal Answer: 1324"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [84, 85, 47, 54, 94, 16, 21, 91, 17, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 16 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -128 ÷ -371"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -128 by -371. -128 ÷ -371 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -319 + 183"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -319 and 183: -319 + 183 = -136.\n</reasoning>\nFinal Answer: -136"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 45 = 885"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 24x = 840. Divide by 24: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 623 km apart. Their speeds are 90 km/h and 88 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 90+88=178 km/h. Time = 623/178 = 3.5 hours.\n</reasoning>\nFinal Answer: 3... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 297 × -364"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 297 by -364: 297 × -364 = -108108.\n</reasoning>\nFinal Answer: -108108"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 236 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 236 × (1 + 75/100) = 236 × 1.75 = 413.0.\n</reasoning>\nFinal Answer: 413.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 73 and height 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 73 × 33 = 1204.5.\n</reasoning>\nFinal Answer: 1204.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "An item costs ₹521. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 521 × 12/100 = 62.52. Total = 521 + 62.52 = 583.52.\n</reasoning>\nFinal Answer: 583.52"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/6 - 5/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/6 - 5/20. LCD = 4. Result = 3/4.\n</reasoning>\nFinal Answer: 3/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
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