messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 307 mod -884"
},
{
"role": "assistant",
"content": "<reasoning>\n307 mod -884: 307 = -884 × -1 + -577, so remainder = -577.\n</reasoning>\nFinal Answer: -577"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/6 - 14/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/6 - 14/13. LCD = 39. Result = 10/39.\n</reasoning>\nFinal Answer: 10/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 12 * 26 - 44"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 12×26=312, then 10+312-44=278.\n</reasoning>\nFinal Answer: 278"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 22 + 21 * 29"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×22=880 and 21×29=609, then add: 1489.\n</reasoning>\nFinal Answer: 1489"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -44 = -512"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 26x = -468. Divide by 26: x = -18.\n</reasoning>\nFinal Answer: -18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [70, 31, 50, 11, 20, 8, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 247/7 = 35.2857.\n</reasoning>\nFinal Answer: 35.2857"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "What is 50% of 492?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 492 = (50/100) × 492 = 246.0.\n</reasoning>\nFinal Answer: 246.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4069. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4069 × 28/100 = 1139.32. Total = 4069 + 1139.32 = 5208.32.\n</reasoning>\nFinal Answer: 5208.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 629 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 629 × (1 - 90/100) = 629 × 0.09999999999999998 = 62.9.\n</reasoning>\nFinal Answer: 62.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 400 km apart. Their speeds are 99 km/h and 96 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 99+96=195 km/h. Time = 400/195 = 2.0513 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is the probability of rolling a 6 on a fair 6-sided die?"
},
{
"role": "assistant",
"content": "<reasoning>\nThere are 6 equally likely outcomes. Only 1 outcome gives 6. P = 1/6.\n</reasoning>\nFinal Answer: 1/6 ≈ 0.1667"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Simplify: 6/8 * 6/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/8) × (6/5) = (36/40) = 9/10 after simplification.\n</reasoning>\nFinal Answer: 9/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 242 - -738"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -738 from 242: 242 - -738 = 980.\n</reasoning>\nFinal Answer: 980"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -653 + -128"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -653 and -128: -653 + -128 = -781.\n</reasoning>\nFinal Answer: -781"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 43:43 and A = 42, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 43/43, so B = A × (43/43) = 42 × 43/43 = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 20 and 13."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (20×13)/1 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "What is 5% of 622?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 622 = (5/100) × 622 = 31.1.\n</reasoning>\nFinal Answer: 31.1"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 21 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (21×6)/3 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 423 × -741"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 423 by -741: 423 × -741 = -313443.\n</reasoning>\nFinal Answer: -313443"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:22 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/22, so B = A × (22/7) = 97 × 22/7 = 304.8571.\n</reasoning>\nFinal Answer: 304.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mean of: [3, 19, 91, 4, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 125/5 = 25.0.\n</reasoning>\nFinal Answer: 25.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 24 and width 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(24+23) = 2×47 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (28)x + (80) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 28² - 4×2×80 = 144. √discriminant = 12. x = (-(28) ± 12) / (2×2). Solutions: x = -10 or x = -4.\n</reasoning>\nFinal Answer: x = -10 or x = -4"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:18 and A = 52, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/18, so B = A × (18/33) = 52 × 18/33 = 28.3636.\n</reasoning>\nFinal Answer: 28.3636"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 472 × -188"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 472 by -188: 472 × -188 = -88736.\n</reasoning>\nFinal Answer: -88736"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 11 = 143"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 4x = 132. Divide by 4: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -50 = 456"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 22x = 506. Divide by 22: x = 23.\n</reasoning>\nFinal Answer: 23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 259."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 259 by smallest primes repeatedly: 259 = 7 × 37.\n</reasoning>\nFinal Answer: 7 × 37"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Calculate: -664 ÷ 306"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -664 by 306. -664 ÷ 306 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 60% of 353?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 353 = (60/100) × 353 = 211.8.\n</reasoning>\nFinal Answer: 211.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 388 ÷ 455"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 388 by 455. 388 ÷ 455 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19169 at 18% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19169 × 18 × 9 / 100 = 31053.78.\n</reasoning>\nFinal Answer: 31053.78"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 9, 12, and 14."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 9 + 12 + 14 = 35.\n</reasoning>\nFinal Answer: 35"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 477 ÷ -637"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 477 by -637. 477 ÷ -637 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 25% of 667?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 667 = (25/100) × 667 = 166.75.\n</reasoning>\nFinal Answer: 166.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:48 and A = 80, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/48, so B = A × (48/29) = 80 × 48/29 = 132.4138.\n</reasoning>\nFinal Answer: 132.4138"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 113 km/h. How far does it travel in 6 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 2/60 = 6.0333 hours. Distance = speed × time = 113 × 6.0333 = 681.7667 km.\n</reasoning>\nFinal Answer: 681.7667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -4 = -32"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 2x = -28. Divide by 2: x = -14.\n</reasoning>\nFinal Answer: -14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 519 mod 534"
},
{
"role": "assistant",
"content": "<reasoning>\n519 mod 534: 519 = 534 × 0 + 519, so remainder = 519.\n</reasoning>\nFinal Answer: 519"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/16 * 19/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/16) × (19/5) = (171/80) = 171/80 after simplification.\n</reasoning>\nFinal Answer: 171/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [66, 37, 12, 21, 49, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 21, 37, 42, 49, 66]. Middle value(s) → median = 39.5.\n</reasoning>\nFinal Answer: 39.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 12 and width 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 12 × 65 = 780.\n</reasoning>\nFinal Answer: 780"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -844 - -202"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -202 from -844: -844 - -202 = -642.\n</reasoning>\nFinal Answer: -642"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -929 ÷ -594"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -929 by -594. -929 ÷ -594 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:13 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/13, so B = A × (13/19) = 68 × 13/19 = 46.5263.\n</reasoning>\nFinal Answer: 46.5263"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 713 km apart. Their speeds are 71 km/h and 68 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 71+68=139 km/h. Time = 713/139 = 5.1295 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [82, 82, 100, 40, 66, 5, 48, 40, 22, 86]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 22, 40, 40, 48, 66, 82, 82, 86, 100]. Middle value(s) → median = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 17/15 + 12/4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/15 + 12/4. Common denominator = 15. Result = 62/15.\n</reasoning>\nFinal Answer: 62/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 4 and height 73."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 4 × 73 = 292.\n</reasoning>\nFinal Answer: 292"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 56 and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(56,34) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:2 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/2, so B = A × (2/9) = 47 × 2/9 = 10.4444.\n</reasoning>\nFinal Answer: 10.4444"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 66 apples and buys 200 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 66 + 200 = 266.\n</reasoning>\nFinal Answer: 266"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:7 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/7, so B = A × (7/28) = 20 × 7/28 = 5.0.\n</reasoning>\nFinal Answer: 5.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 614 km apart. Their speeds are 70 km/h and 78 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+78=148 km/h. Time = 614/148 = 4.1486 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 31 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 31 × 63 = 1953.\n</reasoning>\nFinal Answer: 1953"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate: 7^6"
},
{
"role": "assistant",
"content": "<reasoning>\n7^6 = 7 × 7 × 7 × 7 × 7 × 7 = 117649.\n</reasoning>\nFinal Answer: 117649"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Find the mode of: [72, 20, 56, 100, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {72: 1, 20: 1, 56: 1, 100: 1, 89: 1}. Most frequent: [72, 20, 56, 100, 89].\n</reasoning>\nFinal Answer: [72, 20, 56, 100, 89]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 20/5 + 3/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/5 + 3/19. Common denominator = 19. Result = 79/19.\n</reasoning>\nFinal Answer: 79/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 34 and height 9."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 34 × 9 = 153.0.\n</reasoning>\nFinal Answer: 153.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 60% of 448?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 448 = (60/100) × 448 = 268.8.\n</reasoning>\nFinal Answer: 268.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/1 * 16/16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/1) × (16/16) = (144/16) = 9 after simplification.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mean of: [10, 100, 50, 86, 37, 44, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 406/7 = 58.0.\n</reasoning>\nFinal Answer: 58.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 5, 6, 8, 16, 18] and B = [4, 12, 15, 16, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 5, 6, 8].\n</reasoning>\nFinal Answer: [1, 5, 6, 8]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -236 mod 264"
},
{
"role": "assistant",
"content": "<reasoning>\n-236 mod 264: -236 = 264 × -1 + 28, so remainder = 28.\n</reasoning>\nFinal Answer: 28"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 10 and 12."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (10×12)/2 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Calculate: 330 mod 170"
},
{
"role": "assistant",
"content": "<reasoning>\n330 mod 170: 330 = 170 × 1 + 160, so remainder = 160.\n</reasoning>\nFinal Answer: 160"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:22 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/22, so B = A × (22/32) = 34 × 22/32 = 23.375.\n</reasoning>\nFinal Answer: 23.375"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 2/1 + 17/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/1 + 17/15. Common denominator = 15. Result = 47/15.\n</reasoning>\nFinal Answer: 47/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 28 * 13 - 10"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×13=364, then 47+364-10=401.\n</reasoning>\nFinal Answer: 401"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 475 km apart. Their speeds are 68 km/h and 117 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 68+117=185 km/h. Time = 475/185 = 2.5676 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 569 + -511"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 569 and -511: 569 + -511 = 58.\n</reasoning>\nFinal Answer: 58"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 7) * (36 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+7)=51, (36-6)=30, then 51×30=1530.\n</reasoning>\nFinal Answer: 1530"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "A train travels at 88 km/h. How far does it travel in 7 hours and 25 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 7 + 25/60 = 7.4167 hours. Distance = speed × time = 88 × 7.4167 = 652.6667 km.\n</reasoning>\nFinal Answer: 652.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [40, 55, 49, 26, 76, 37]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 283/6 = 47.1667.\n</reasoning>\nFinal Answer: 47.1667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 23 = 255"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 23 from both sides: 8x = 232. Divide by 8: x = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 23 ** 2 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 23²=529, then 19+529-20=528.\n</reasoning>\nFinal Answer: 528"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 6, 7, 14, 15, 19] and B = [4, 13, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 6, 7, 14, 15, 19].\n</reasoning>\nFinal Answer: [1, 6, 7, 14, 15, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 8, find the 31th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (31-1)×8 = 13 + 240 = 253.\n</reasoning>\nFinal Answer: 253"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-60)x + (224) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -60² - 4×4×224 = 16. √discriminant = 4. x = (-(-60) ± 4) / (2×4). Solutions: x = 7 or x = 8.\n</reasoning>\nFinal Answer: x = 7 or x = 8"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: 262 ÷ 555"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 262 by 555. 262 ÷ 555 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -39 = -270"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 21x = -231. Divide by 21: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 10 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 10 = 200 worker-days. New time = 200 / 3 = 66.6667 days.\n</reasoning>\nFinal Answer: 66.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 46 and height 7."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+46) × 7 = 325.5.\n</reasoning>\nFinal Answer: 325.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 5/2 * 16/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/2) × (16/11) = (80/22) = 40/11 after simplification.\n</reasoning>\nFinal Answer: 40/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (27 + 36) * (47 - 32)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (27+36)=63, (47-32)=15, then 63×15=945.\n</reasoning>\nFinal Answer: 945"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 615 ÷ 412"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 615 by 412. 615 ÷ 412 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4220. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4220 × 18/100 = 759.6. Total = 4220 + 759.6 = 4979.6.\n</reasoning>\nFinal Answer: 4979.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 18 = 1398"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 30x = 1380. Divide by 30: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 14 = -196"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 10x = -210. Divide by 10: x = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (1 + 38) * (39 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (1+38)=39, (39-26)=13, then 39×13=507.\n</reasoning>\nFinal Answer: 507"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:39 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/39, so B = A × (39/38) = 31 × 39/38 = 31.8158.\n</reasoning>\nFinal Answer: 31.8158"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 13/3 - 7/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/3 - 7/3. LCD = 3. Result = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 916 mod 849"
},
{
"role": "assistant",
"content": "<reasoning>\n916 mod 849: 916 = 849 × 1 + 67, so remainder = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (37 + 16) * (50 - 6)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (37+16)=53, (50-6)=44, then 53×44=2332.\n</reasoning>\nFinal Answer: 2332"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 13/19 * 1/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/19) × (1/14) = (13/266) = 13/266 after simplification.\n</reasoning>\nFinal Answer: 13/266"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (30)x + (48) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 30² - 4×3×48 = 324. √discriminant = 18. x = (-(30) ± 18) / (2×3). Solutions: x = -2 or x = -8.\n</reasoning>\nFinal Answer: x = -2 or x = -8"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mean of: [19, 45, 80, 23, 59, 49, 31, 13, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 364/9 = 40.4444.\n</reasoning>\nFinal Answer: 40.4444"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 5/9 * 11/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/9) × (11/17) = (55/153) = 55/153 after simplification.\n</reasoning>\nFinal Answer: 55/153"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 34 and 47."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (34×47)/1 = 1598.\n</reasoning>\nFinal Answer: 1598"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Decrease 622 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 622 × (1 - 65/100) = 622 × 0.35 = 217.7.\n</reasoning>\nFinal Answer: 217.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
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