messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mean of: [79, 35, 66, 25, 98]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 303/5 = 60.6.\n</reasoning>\nFinal Answer: 60.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -933 + -585"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -933 and -585: -933 + -585 = -1518.\n</reasoning>\nFinal Answer: -1518"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 972 + -696"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 972 and -696: 972 + -696 = 276.\n</reasoning>\nFinal Answer: 276"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -373 mod 421"
},
{
"role": "assistant",
"content": "<reasoning>\n-373 mod 421: -373 = 421 × -1 + 48, so remainder = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 89 and width 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 89 × 54 = 4806.\n</reasoning>\nFinal Answer: 4806"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 9 = 239"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 9 from both sides: 10x = 230. Divide by 10: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 10, 12, 17] and B = [1, 7, 8, 14, 16, 17, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 5, 7, 8, 10, 12, 14, 16, 19].\n</reasoning... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mean of: [100, 12, 55, 89, 21, 67, 19, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 441/8 = 55.125.\n</reasoning>\nFinal Answer: 55.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 30 = 758"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 28x = 728. Divide by 28: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:40 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/40, so B = A × (40/21) = 3 × 40/21 = 5.7143.\n</reasoning>\nFinal Answer: 5.7143"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 13, 14, 15, 19] and B = [4, 8, 9, 11, 16, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 13, 14, 15, 19].\n</reasoning>\nFinal Answer: [7, 13, 14, 15, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -575 × -493"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -575 by -493: -575 × -493 = 283475.\n</reasoning>\nFinal Answer: 283475"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 19 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (19×4)/1 = 76.\n</reasoning>\nFinal Answer: 76"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 3 = 264"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 9x = 261. Divide by 9: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -42 = 693"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 15x = 735. Divide by 15: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/13 / 4/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/13) ÷ (4/16) = (4/13) × (16/4) = 16/13.\n</reasoning>\nFinal Answer: 16/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a circle with radius 32. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nArea = π × r² = π × 32² = π × 1024 ≈ 3216.9909.\n</reasoning>\nFinal Answer: 3216.9909"
}
] | medium | [
"geometry",
"area",
"circle"
] |
[
{
"role": "user",
"content": "Evaluate: 3^4"
},
{
"role": "assistant",
"content": "<reasoning>\n3^4 = 3 × 3 × 3 × 3 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 36, 29 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (36+29) × 25 = 812.5.\n</reasoning>\nFinal Answer: 812.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -475 - 961"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 961 from -475: -475 - 961 = -1436.\n</reasoning>\nFinal Answer: -1436"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 11, 12, 13, 15, 16] and B = [4, 5, 6, 7, 8, 9, 14, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15].\... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 39, 34 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (39+34) × 37 = 1350.5.\n</reasoning>\nFinal Answer: 1350.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [4, 6, 11, 15] and B = [4, 7, 10, 11, 12, 13, 15, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6].\n</reasoning>\nFinal Answer: [6]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:32 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/32, so B = A × (32/24) = 35 × 32/24 = 46.6667.\n</reasoning>\nFinal Answer: 46.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 23 = 463"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 20x = 440. Divide by 20: x = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 36 = -251"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 7x = -287. Divide by 7: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:12 and A = 91, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/12, so B = A × (12/21) = 91 × 12/21 = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 2 * 46 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 2×46=92, then 47+92-50=89.\n</reasoning>\nFinal Answer: 89"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 179 mod -232"
},
{
"role": "assistant",
"content": "<reasoning>\n179 mod -232: 179 = -232 × -1 + -53, so remainder = -53.\n</reasoning>\nFinal Answer: -53"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 46 and common difference 3, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 46 + (47-1)×3 = 46 + 138 = 184.\n</reasoning>\nFinal Answer: 184"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 916 mod 570"
},
{
"role": "assistant",
"content": "<reasoning>\n916 mod 570: 916 = 570 × 1 + 346, so remainder = 346.\n</reasoning>\nFinal Answer: 346"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 93 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 93 × 50 = 4650.\n</reasoning>\nFinal Answer: 4650"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 + 29 * 16 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 29×16=464, then 39+464-41=462.\n</reasoning>\nFinal Answer: 462"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [41, 12, 62, 45, 84, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {41: 1, 12: 1, 62: 1, 45: 1, 84: 1, 93: 1}. Most frequent: [41, 12, 62, 45, 84, 93].\n</reasoning>\nFinal Answer: [41, 12, 62, 45, 84, 93]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 9/18 + 15/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/18 + 15/10. Common denominator = 2. Result = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:40 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/40, so B = A × (40/7) = 12 × 40/7 = 68.5714.\n</reasoning>\nFinal Answer: 68.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [99, 95, 45, 58, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {99: 1, 95: 1, 45: 1, 58: 1, 64: 1}. Most frequent: [99, 95, 45, 58, 64].\n</reasoning>\nFinal Answer: [99, 95, 45, 58, 64]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: 630 - -230"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -230 from 630: 630 - -230 = 860.\n</reasoning>\nFinal Answer: 860"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 107 km apart. Their speeds are 94 km/h and 53 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 94+53=147 km/h. Time = 107/147 = 0.7279 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹1507. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1507 × 18/100 = 271.26. Total = 1507 + 271.26 = 1778.26.\n</reasoning>\nFinal Answer: 1778.26"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 16/17 - 7/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 16/17 - 7/12. LCD = 204. Result = 73/204.\n</reasoning>\nFinal Answer: 73/204"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -44 = -880"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 22x = -836. Divide by 22: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 475 ÷ -47"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 475 by -47. 475 ÷ -47 = -11 (integer division).\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:10 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/10, so B = A × (10/29) = 46 × 10/29 = 15.8621.\n</reasoning>\nFinal Answer: 15.8621"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 84 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 84 × 6 = 504.\n</reasoning>\nFinal Answer: 504"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 20/12 / 18/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/12) ÷ (18/15) = (20/12) × (15/18) = 25/18.\n</reasoning>\nFinal Answer: 25/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 25% of 761?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 761 = (25/100) × 761 = 190.25.\n</reasoning>\nFinal Answer: 190.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "4 workers can complete a job in 15 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 4 × 15 = 60 worker-days. New time = 60 / 4 = 15.0 days.\n</reasoning>\nFinal Answer: 15.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -850 + 665"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -850 and 665: -850 + 665 = -185.\n</reasoning>\nFinal Answer: -185"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 112 km/h. How far does it travel in 4 hours and 54 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 54/60 = 4.9000 hours. Distance = speed × time = 112 × 4.9000 = 548.8 km.\n</reasoning>\nFinal Answer: 548.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 61 apples and buys 165 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 61 + 165 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 908 + 877"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 908 and 877: 908 + 877 = 1785.\n</reasoning>\nFinal Answer: 1785"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 39 = -513"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 39 from both sides: 12x = -552. Divide by 12: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 38, 4 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (38+4) × 6 = 126.0.\n</reasoning>\nFinal Answer: 126.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [50, 92, 83, 5, 68, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 5 = 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 35 and 142."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(35,142) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 41 = 8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 41 from both sides: 1x = -33. Divide by 1: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 28 = 109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 9x = 81. Divide by 9: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 520 + 786"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 520 and 786: 520 + 786 = 1306.\n</reasoning>\nFinal Answer: 1306"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "659 is what percentage of 852?"
},
{
"role": "assistant",
"content": "<reasoning>\n(659/852) × 100 = 77.3474%.\n</reasoning>\nFinal Answer: 77.3474%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 20% of 557?"
},
{
"role": "assistant",
"content": "<reasoning>\n20% of 557 = (20/100) × 557 = 111.4.\n</reasoning>\nFinal Answer: 111.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 35 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(35,24) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "A train travels at 187 km/h. How far does it travel in 12 hours and 30 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 30/60 = 12.5000 hours. Distance = speed × time = 187 × 12.5000 = 2337.5 km.\n</reasoning>\nFinal Answer: 2337.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "361 is what percentage of 647?"
},
{
"role": "assistant",
"content": "<reasoning>\n(361/647) × 100 = 55.796%.\n</reasoning>\nFinal Answer: 55.796%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 9/17 + 7/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/17 + 7/3. Common denominator = 51. Result = 146/51.\n</reasoning>\nFinal Answer: 146/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 105 and 28."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(105,28) = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 102 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 40 from 102: 102 - 40 = 62.\n</reasoning>\nFinal Answer: 62"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (42 + 25) * (42 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (42+25)=67, (42-38)=4, then 67×4=268.\n</reasoning>\nFinal Answer: 268"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 15 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+15) × 16 = 504.0.\n</reasoning>\nFinal Answer: 504.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 5, find the 48th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (48-1)×5 = 18 + 235 = 253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -24 = 80"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 13x = 104. Divide by 13: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/8 + 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 4/8 + 13/15. Common denominator = 30. Result = 41/30.\n</reasoning>\nFinal Answer: 41/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -397 + 42"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -397 and 42: -397 + 42 = -355.\n</reasoning>\nFinal Answer: -355"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 24 * 40 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 24×40=960, then 43+960-42=961.\n</reasoning>\nFinal Answer: 961"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 8 and common difference 18, find the 35th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 8 + (35-1)×18 = 8 + 612 = 620.\n</reasoning>\nFinal Answer: 620"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:38 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/38, so B = A × (38/20) = 33 × 38/20 = 62.7.\n</reasoning>\nFinal Answer: 62.7"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 359 × 592"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 359 by 592: 359 × 592 = 212528.\n</reasoning>\nFinal Answer: 212528"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:25 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/25, so B = A × (25/34) = 94 × 25/34 = 69.1176.\n</reasoning>\nFinal Answer: 69.1176"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [70, 29, 5, 67, 62, 100, 17, 5, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 400/9 = 44.4444.\n</reasoning>\nFinal Answer: 44.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 64, 98, 74, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 98 - 64 = 34.\n</reasoning>\nFinal Answer: 34"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -346 mod -239"
},
{
"role": "assistant",
"content": "<reasoning>\n-346 mod -239: -346 = -239 × 1 + -107, so remainder = -107.\n</reasoning>\nFinal Answer: -107"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -971 ÷ 427"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -971 by 427. -971 ÷ 427 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/12 - 9/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/12 - 9/13. LCD = 156. Result = -43/156.\n</reasoning>\nFinal Answer: -43/156"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 164 km/h. How far does it travel in 7 hours and 47 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 47/60 = 7.7833 hours. Distance = speed × time = 164 × 7.7833 = 1276.4667 km.\n</reasoning>\nFinal Answer: 1276.4667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 3/4 + 9/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/4 + 9/7. Common denominator = 28. Result = 57/28.\n</reasoning>\nFinal Answer: 57/28"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 84 and width 67."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 84 × 67 = 5628.\n</reasoning>\nFinal Answer: 5628"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -874 × 603"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -874 by 603: -874 × 603 = -527022.\n</reasoning>\nFinal Answer: -527022"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 973 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 973 × (1 + 45/100) = 973 × 1.45 = 1410.85.\n</reasoning>\nFinal Answer: 1410.85"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 499 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 499 × (1 - 20/100) = 499 × 0.8 = 399.2.\n</reasoning>\nFinal Answer: 399.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 48 ** 2 - 17"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 48²=2304, then 42+2304-17=2329.\n</reasoning>\nFinal Answer: 2329"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 193 apples and buys 148 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 193 + 148 = 341.\n</reasoning>\nFinal Answer: 341"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Is 79 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n79 has no divisors other than 1 and itself, so it is prime.\n</reasoning>\nFinal Answer: Yes"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 8, 12, 16] and B = [2, 5, 6, 12, 16, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 5, 8, 19].\n</reasoning>\nFinal Answer: [2, 3, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 7/18 / 14/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/18) ÷ (14/11) = (7/18) × (11/14) = 11/36.\n</reasoning>\nFinal Answer: 11/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [28, 76, 68, 27, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 27 = 66.\n</reasoning>\nFinal Answer: 66"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 14 = -662"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 26x = -676. Divide by 26: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -49 ÷ 749"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -49 by 749. -49 ÷ 749 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -35 = 31"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -35 from both sides: 2x = 66. Divide by 2: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 5 * 20 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 5×20=100, then 3+100-25=78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34156 at 14% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34156 × 14 × 8 / 100 = 38254.72.\n</reasoning>\nFinal Answer: 38254.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
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