messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 680 ÷ -803"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 680 by -803. 680 ÷ -803 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-51)x + (216) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -51² - 4×3×216 = 9. √discriminant = 3. x = (-(-51) ± 3) / (2×3). Solutions: x = 8 or x = 9.\n</reasoning>\nFinal Answer: x = 8 or x = 9"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 18 and 139."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(18,139) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 699 - 539"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 539 from 699: 699 - 539 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 1000 × 885"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 1000 by 885: 1000 × 885 = 885000.\n</reasoning>\nFinal Answer: 885000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 28 - 493"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 493 from 28: 28 - 493 = -465.\n</reasoning>\nFinal Answer: -465"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + -32 = -763"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 17x = -731. Divide by 17: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 196 and 122."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(196,122) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -469 - -572"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -572 from -469: -469 - -572 = 103.\n</reasoning>\nFinal Answer: 103"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -693 + -274"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -693 and -274: -693 + -274 = -967.\n</reasoning>\nFinal Answer: -967"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 21 = 831"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 30x = 810. Divide by 30: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 12/12 - 3/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 12/12 - 3/13. LCD = 13. Result = 10/13.\n</reasoning>\nFinal Answer: 10/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [21, 91, 64, 87, 52, 93, 12, 67, 70, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 21, 52, 52, 64, 67, 70, 87, 91, 93]. Middle value(s) → median = 65.5.\n</reasoning>\nFinal Answer: 65.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹48039 at 10% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 48039 × 10 × 2 / 100 = 9607.8.\n</reasoning>\nFinal Answer: 9607.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 18 and common difference 10, find the 18th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 18 + (18-1)×10 = 18 + 170 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -718 ÷ 649"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -718 by 649. -718 ÷ 649 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 97 and height 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 97 × 69 = 3346.5.\n</reasoning>\nFinal Answer: 3346.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 2 and 44."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (2×44)/2 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 2 + 49 * 37 - 33"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×37=1813, then 2+1813-33=1782.\n</reasoning>\nFinal Answer: 1782"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + 46 = -74"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 15x = -120. Divide by 15: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:36 and A = 24, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/36, so B = A × (36/23) = 24 × 36/23 = 37.5652.\n</reasoning>\nFinal Answer: 37.5652"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 + 42 ** 2 - 25"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 42²=1764, then 50+1764-25=1789.\n</reasoning>\nFinal Answer: 1789"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "5 workers can complete a job in 17 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 5 × 17 = 85 worker-days. New time = 85 / 4 = 21.25 days.\n</reasoning>\nFinal Answer: 21.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [30, 76, 83, 41, 10, 10, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 292/7 = 41.7143.\n</reasoning>\nFinal Answer: 41.7143"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 239 mod 107"
},
{
"role": "assistant",
"content": "<reasoning>\n239 mod 107: 239 = 107 × 2 + 25, so remainder = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1081. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1081 × 12/100 = 129.72. Total = 1081 + 129.72 = 1210.72.\n</reasoning>\nFinal Answer: 1210.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -521 + -907"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -521 and -907: -521 + -907 = -1428.\n</reasoning>\nFinal Answer: -1428"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -292 + -209"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -292 and -209: -292 + -209 = -501.\n</reasoning>\nFinal Answer: -501"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 17, 36 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (17+36) × 35 = 927.5.\n</reasoning>\nFinal Answer: 927.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 684 km apart. Their speeds are 66 km/h and 99 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 66+99=165 km/h. Time = 684/165 = 4.1455 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 8, 9, 11, 12, 13, 14] and B = [8, 12, 14, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 5, 8, 9, 11, 12, 13, 14, 18].\n</reasoning>\nFinal Answer: [2, 5, 8, 9, 11, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 9."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×9)/1 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 24 = 128"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 4x = 104. Divide by 4: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 34 = 34"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 7x = 0. Divide by 7: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [99, 76, 47, 7, 58, 21, 80, 82]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [7, 21, 47, 58, 76, 80, 82, 99]. Middle value(s) → median = 67.0.\n</reasoning>\nFinal Answer: 67.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 18/20 + 10/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/20 + 10/1. Common denominator = 10. Result = 109/10.\n</reasoning>\nFinal Answer: 109/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 2/6 - 5/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 2/6 - 5/10. LCD = 6. Result = -1/6.\n</reasoning>\nFinal Answer: -1/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (19 + 3) * (26 - 16)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (19+3)=22, (26-16)=10, then 22×10=220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 441 × 94"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 441 by 94: 441 × 94 = 41454.\n</reasoning>\nFinal Answer: 41454"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -46 = -262"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 18x = -216. Divide by 18: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 169 mod 615"
},
{
"role": "assistant",
"content": "<reasoning>\n169 mod 615: 169 = 615 × 0 + 169, so remainder = 169.\n</reasoning>\nFinal Answer: 169"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 44 = -1022"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 26x = -1066. Divide by 26: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 94 and 120."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(94,120) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Decrease 949 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 949 × (1 - 3/100) = 949 × 0.97 = 920.53.\n</reasoning>\nFinal Answer: 920.53"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 7 and height 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 7 × 53 = 371.\n</reasoning>\nFinal Answer: 371"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -4 = 488"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 12x = 492. Divide by 12: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -17 = -17"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -17 from both sides: 16x = 0. Divide by 16: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 422 + 699"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 422 and 699: 422 + 699 = 1121.\n</reasoning>\nFinal Answer: 1121"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/15 + 20/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/15 + 20/2. Common denominator = 15. Result = 167/15.\n</reasoning>\nFinal Answer: 167/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 42:29 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 42/29, so B = A × (29/42) = 36 × 29/42 = 24.8571.\n</reasoning>\nFinal Answer: 24.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:40 and A = 17, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/40, so B = A × (40/8) = 17 × 40/8 = 85.0.\n</reasoning>\nFinal Answer: 85.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [10, 1, 51, 73, 58, 61, 99, 45, 88, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 562/10 = 56.2.\n</reasoning>\nFinal Answer: 56.2"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -668 - 316"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 316 from -668: -668 - 316 = -984.\n</reasoning>\nFinal Answer: -984"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -749 ÷ -334"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -749 by -334. -749 ÷ -334 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 57 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 57 × 5 = 142.5.\n</reasoning>\nFinal Answer: 142.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 11, 15, 16] and B = [1, 3, 6, 15, 16, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 11].\n</reasoning>\nFinal Answer: [2, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 386 by 15%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 15%: 386 × (1 - 15/100) = 386 × 0.85 = 328.1.\n</reasoning>\nFinal Answer: 328.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 663 + -838"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 663 and -838: 663 + -838 = -175.\n</reasoning>\nFinal Answer: -175"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 44) * (14 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+44)=78, (14-21)=-7, then 78×-7=-546.\n</reasoning>\nFinal Answer: -546"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [98, 41, 74, 91, 71, 83, 56, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {98: 1, 41: 1, 74: 1, 91: 1, 71: 1, 83: 1, 56: 1, 21: 1}. Most frequent: [98, 41, 74, 91, 71, 83, 56, 21].\n</reasoning>\nFinal Answer: [98, 41,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Is 6 a prime number? Answer Yes or No."
},
{
"role": "assistant",
"content": "<reasoning>\n6 = 2 × 3, so it is not prime.\n</reasoning>\nFinal Answer: No"
}
] | easy | [
"number_theory",
"prime"
] |
[
{
"role": "user",
"content": "Simplify: 4/6 / 19/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/6) ÷ (19/15) = (4/6) × (15/19) = 10/19.\n</reasoning>\nFinal Answer: 10/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 15% of 258?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 258 = (15/100) × 258 = 38.7.\n</reasoning>\nFinal Answer: 38.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 6, 8, 11, 17] and B = [1, 5, 8, 9, 11, 13, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 3, 4, 6, 17].\n</reasoning>\nFinal Answer: [2, 3, 4, 6, 17]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 16/6 + 14/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/6 + 14/16. Common denominator = 24. Result = 85/24.\n</reasoning>\nFinal Answer: 85/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -15 = 185"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 5x = 200. Divide by 5: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 15 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+15) × 11 = 346.5.\n</reasoning>\nFinal Answer: 346.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 23, 8 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (23+8) × 30 = 465.0.\n</reasoning>\nFinal Answer: 465.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [84, 8, 77, 37, 79, 56, 52, 39, 85, 67]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 584/10 = 58.4.\n</reasoning>\nFinal Answer: 58.4"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mode of: [59, 10, 89, 89, 59, 97, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {59: 2, 10: 1, 89: 2, 97: 1, 51: 1}. Most frequent: [59, 89].\n</reasoning>\nFinal Answer: [59, 89]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Given A = [2, 7, 8, 10, 12, 13, 14, 16] and B = [1, 3, 5, 10, 11, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 5, 7, 8, 10, 11, 12, 13, 14, 15, 16].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -31 = -991"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 24x = -960. Divide by 24: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -776 ÷ -276"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -776 by -276. -776 ÷ -276 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [15, 87, 79, 82, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 15 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 5, 7, 19] and B = [5, 7, 12, 14, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5, 7].\n</reasoning>\nFinal Answer: [5, 7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 403 - 632"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 632 from 403: 403 - 632 = -229.\n</reasoning>\nFinal Answer: -229"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -55 - 242"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 242 from -55: -55 - 242 = -297.\n</reasoning>\nFinal Answer: -297"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -399 ÷ -446"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -399 by -446. -399 ÷ -446 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 44 mod -581"
},
{
"role": "assistant",
"content": "<reasoning>\n44 mod -581: 44 = -581 × -1 + -537, so remainder = -537.\n</reasoning>\nFinal Answer: -537"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 593 - 404"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 404 from 593: 593 - 404 = 189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:1 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/1, so B = A × (1/45) = 27 × 1/45 = 0.6.\n</reasoning>\nFinal Answer: 0.6"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 9 ** 2 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 9²=81, then 42+81-24=99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 50 and height 21."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+50) × 21 = 997.5.\n</reasoning>\nFinal Answer: 997.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 60% of 898?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 898 = (60/100) × 898 = 538.8.\n</reasoning>\nFinal Answer: 538.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 80 and width 86."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(80+86) = 2×166 = 332.\n</reasoning>\nFinal Answer: 332"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [28, 73, 60, 73, 33, 94, 41, 90, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {28: 1, 73: 2, 60: 1, 33: 2, 94: 1, 41: 1, 90: 1}. Most frequent: [73, 33].\n</reasoning>\nFinal Answer: [73, 33]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Increase 252 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 252 × (1 + 70/100) = 252 × 1.7 = 428.4.\n</reasoning>\nFinal Answer: 428.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 + 36 * 43 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 36×43=1548, then 29+1548-24=1553.\n</reasoning>\nFinal Answer: 1553"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 189 km/h. How far does it travel in 6 hours and 18 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 18/60 = 6.3000 hours. Distance = speed × time = 189 × 6.3000 = 1190.7 km.\n</reasoning>\nFinal Answer: 1190.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -827 × -65"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -827 by -65: -827 × -65 = 53755.\n</reasoning>\nFinal Answer: 53755"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 42 = 642"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 12x = 600. Divide by 12: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -138 + -438"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -138 and -438: -138 + -438 = -576.\n</reasoning>\nFinal Answer: -576"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 971 km apart. Their speeds are 119 km/h and 110 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 119+110=229 km/h. Time = 971/229 = 4.2402 hours.\n</reasoning>\nFinal An... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:19 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/19, so B = A × (19/3) = 69 × 19/3 = 437.0.\n</reasoning>\nFinal Answer: 437.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 88 + -484"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 88 and -484: 88 + -484 = -396.\n</reasoning>\nFinal Answer: -396"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 19, 40 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (19+40) × 23 = 678.5.\n</reasoning>\nFinal Answer: 678.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 39 and width 80."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(39+80) = 2×119 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -18 = -40"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 2x = -22. Divide by 2: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 31) * (9 - 24)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+31)=40, (9-24)=-15, then 40×-15=-600.\n</reasoning>\nFinal Answer: -600"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mode of: [89, 94, 82, 51, 27, 61, 75, 72, 90]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {89: 1, 94: 1, 82: 1, 51: 1, 27: 1, 61: 1, 75: 1, 72: 1, 90: 1}. Most frequent: [89, 94, 82, 51, 27, 61, 75, 72, 90].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
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