messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mode of: [16, 75, 38, 89, 17, 90, 57, 59]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {16: 1, 75: 1, 38: 1, 89: 1, 17: 1, 90: 1, 57: 1, 59: 1}. Most frequent: [16, 75, 38, 89, 17, 90, 57, 59].\n</reasoning>\nFinal Answer: [16, 75,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 48 = 72"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 1x = 24. Divide by 1: x = 24.\n</reasoning>\nFinal Answer: 24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 323 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 323 × (1 - 45/100) = 323 × 0.55 = 177.65.\n</reasoning>\nFinal Answer: 177.65"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 518 by 7%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 7%: 518 × (1 + 7/100) = 518 × 1.07 = 554.26.\n</reasoning>\nFinal Answer: 554.26"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 18 = 326"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 18 from both sides: 22x = 308. Divide by 22: x = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 968 mod 563"
},
{
"role": "assistant",
"content": "<reasoning>\n968 mod 563: 968 = 563 × 1 + 405, so remainder = 405.\n</reasoning>\nFinal Answer: 405"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [7, 9, 12, 14] and B = [4, 8, 10, 12, 13], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 9, 14].\n</reasoning>\nFinal Answer: [7, 9, 14]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 816 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 816 × (1 + 10/100) = 816 × 1.1 = 897.6.\n</reasoning>\nFinal Answer: 897.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:47 and A = 69, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/47, so B = A × (47/24) = 69 × 47/24 = 135.125.\n</reasoning>\nFinal Answer: 135.125"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 25 = -257"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 6x = -282. Divide by 6: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 180 km/h. How far does it travel in 5 hours and 26 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 26/60 = 5.4333 hours. Distance = speed × time = 180 × 5.4333 = 978.0 km.\n</reasoning>\nFinal Answer: 978.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 660 - -855"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -855 from 660: 660 - -855 = 1515.\n</reasoning>\nFinal Answer: 1515"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 31 and 45."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (31×45)/1 = 1395.\n</reasoning>\nFinal Answer: 1395"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "33 is what percentage of 372?"
},
{
"role": "assistant",
"content": "<reasoning>\n(33/372) × 100 = 8.871%.\n</reasoning>\nFinal Answer: 8.871%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 22 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (22×39)/1 = 858.\n</reasoning>\nFinal Answer: 858"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "An item costs ₹2508. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2508 × 12/100 = 300.96. Total = 2508 + 300.96 = 2808.96.\n</reasoning>\nFinal Answer: 2808.96"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 92 and width 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(92+27) = 2×119 = 238.\n</reasoning>\nFinal Answer: 238"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: 869 mod -114"
},
{
"role": "assistant",
"content": "<reasoning>\n869 mod -114: 869 = -114 × -8 + -43, so remainder = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (16)x + (60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 16² - 4×1×60 = 16. √discriminant = 4. x = (-(16) ± 4) / (2×1). Solutions: x = -6 or x = -10.\n</reasoning>\nFinal Answer: x = -6 or x = -10"
}... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -925 × -317"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -925 by -317: -925 × -317 = 293225.\n</reasoning>\nFinal Answer: 293225"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 46 = -389"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 46 from both sides: 29x = -435. Divide by 29: x = -15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 13 and common difference 10, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 13 + (45-1)×10 = 13 + 440 = 453.\n</reasoning>\nFinal Answer: 453"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 28 apples and buys 170 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 28 + 170 = 198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 41, 20 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (41+20) × 23 = 701.5.\n</reasoning>\nFinal Answer: 701.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -16 = -736"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -16 from both sides: 16x = -720. Divide by 16: x = -45.\n</reasoning>\nFinal Answer: -45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -224 mod 10"
},
{
"role": "assistant",
"content": "<reasoning>\n-224 mod 10: -224 = 10 × -23 + 6, so remainder = 6.\n</reasoning>\nFinal Answer: 6"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (-54)x + (240) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -54² - 4×3×240 = 36. √discriminant = 6. x = (-(-54) ± 6) / (2×3). Solutions: x = 10 or x = 8.\n</reasoning>\nFinal Answer: x = 10 or x = 8"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (21 + 23) * (30 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (21+23)=44, (30-27)=3, then 44×3=132.\n</reasoning>\nFinal Answer: 132"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 616 - 973"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 973 from 616: 616 - 973 = -357.\n</reasoning>\nFinal Answer: -357"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -808 + 208"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -808 and 208: -808 + 208 = -600.\n</reasoning>\nFinal Answer: -600"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/14 - 11/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/14 - 11/4. LCD = 4. Result = -7/4.\n</reasoning>\nFinal Answer: -7/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹938. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 938 × 18/100 = 168.84. Total = 938 + 168.84 = 1106.84.\n</reasoning>\nFinal Answer: 1106.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 465 + -147"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 465 and -147: 465 + -147 = 318.\n</reasoning>\nFinal Answer: 318"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 189 + -777"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 189 and -777: 189 + -777 = -588.\n</reasoning>\nFinal Answer: -588"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 22, 26, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 22 + 26 + 37 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -978 × -527"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -978 by -527: -978 × -527 = 515406.\n</reasoning>\nFinal Answer: 515406"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 154 apples and buys 87 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 154 + 87 = 241.\n</reasoning>\nFinal Answer: 241"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/13 / 4/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/13) ÷ (4/15) = (20/13) × (15/4) = 75/13.\n</reasoning>\nFinal Answer: 75/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 50% of 474?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 474 = (50/100) × 474 = 237.0.\n</reasoning>\nFinal Answer: 237.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 36 and common difference 13, find the 45th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 36 + (45-1)×13 = 36 + 572 = 608.\n</reasoning>\nFinal Answer: 608"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 18 + 29 * 46"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×18=108 and 29×46=1334, then add: 1442.\n</reasoning>\nFinal Answer: 1442"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 888 - 595"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 595 from 888: 888 - 595 = 293.\n</reasoning>\nFinal Answer: 293"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 501 × -336"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 501 by -336: 501 × -336 = -168336.\n</reasoning>\nFinal Answer: -168336"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 86 and 80."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(86,80) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "What is 70% of 239?"
},
{
"role": "assistant",
"content": "<reasoning>\n70% of 239 = (70/100) × 239 = 167.3.\n</reasoning>\nFinal Answer: 167.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 74 + -548"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 74 and -548: 74 + -548 = -474.\n</reasoning>\nFinal Answer: -474"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:28 and A = 94, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/28, so B = A × (28/33) = 94 × 28/33 = 79.7576.\n</reasoning>\nFinal Answer: 79.7576"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 65 - 754"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 754 from 65: 65 - 754 = -689.\n</reasoning>\nFinal Answer: -689"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [97, 53, 15, 38, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {97: 1, 53: 1, 15: 1, 38: 1, 79: 1}. Most frequent: [97, 53, 15, 38, 79].\n</reasoning>\nFinal Answer: [97, 53, 15, 38, 79]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 628 km apart. Their speeds are 113 km/h and 71 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 113+71=184 km/h. Time = 628/184 = 3.413 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A train travels at 124 km/h. How far does it travel in 4 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 39/60 = 4.6500 hours. Distance = speed × time = 124 × 4.6500 = 576.6 km.\n</reasoning>\nFinal Answer: 576.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "What is 5% of 527?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 527 = (5/100) × 527 = 26.35.\n</reasoning>\nFinal Answer: 26.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 994 + -630"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 994 and -630: 994 + -630 = 364.\n</reasoning>\nFinal Answer: 364"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [15, 34, 53, 72, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 15 and common difference 19. Next term = 91 + 19 = 110.\n</reasoning>\nFinal Answer: 110"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 554 km apart. Their speeds are 92 km/h and 98 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 92+98=190 km/h. Time = 554/190 = 2.9158 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [67, 65, 12, 15, 71, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 71 - 3 = 68.\n</reasoning>\nFinal Answer: 68"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-28)x + (-32) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -28² - 4×4×-32 = 1296. √discriminant = 36. x = (-(-28) ± 36) / (2×4). Solutions: x = 8 or x = -1.\n</reasoning>\nFinal Answer: x = 8 or x = -1... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -12 = 10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 2x = 22. Divide by 2: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [86, 17, 27, 11, 43, 95, 76, 60, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 17, 27, 43, 60, 76, 86, 88, 95]. Middle value(s) → median = 60.\n</reasoning>\nFinal Answer: 60"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 20/14 + 2/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/14 + 2/2. Common denominator = 7. Result = 17/7.\n</reasoning>\nFinal Answer: 17/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 6, 11, 17, 19] and B = [1, 9, 10, 11, 12, 14, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 4, 6, 19].\n</reasoning>\nFinal Answer: [2, 4, 6, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + 2 = -103"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 3x = -105. Divide by 3: x = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 + 43 * 11 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 43×11=473, then 16+473-27=462.\n</reasoning>\nFinal Answer: 462"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 728 ÷ 172"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 728 by 172. 728 ÷ 172 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 412 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 80%: 412 × (1 - 80/100) = 412 × 0.19999999999999996 = 82.4.\n</reasoning>\nFinal Answer: 82.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 11 and height 60."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 11 × 60 = 330.0.\n</reasoning>\nFinal Answer: 330.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 19/14 - 3/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/14 - 3/8. LCD = 56. Result = 55/56.\n</reasoning>\nFinal Answer: 55/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:36 and A = 46, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/36, so B = A × (36/40) = 46 × 36/40 = 41.4.\n</reasoning>\nFinal Answer: 41.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 21 = 945"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 22x = 924. Divide by 22: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 962 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 962 × (1 - 20/100) = 962 × 0.8 = 769.6.\n</reasoning>\nFinal Answer: 769.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 90% of 773?"
},
{
"role": "assistant",
"content": "<reasoning>\n90% of 773 = (90/100) × 773 = 695.7.\n</reasoning>\nFinal Answer: 695.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/2 - 14/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/2 - 14/20. LCD = 10. Result = 83/10.\n</reasoning>\nFinal Answer: 83/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 362 km apart. Their speeds are 54 km/h and 51 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+51=105 km/h. Time = 362/105 = 3.4476 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 32 = 16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 16x = -16. Divide by 16: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 10 and 47."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (10×47)/1 = 470.\n</reasoning>\nFinal Answer: 470"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "An item costs ₹1074. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1074 × 12/100 = 128.88. Total = 1074 + 128.88 = 1202.88.\n</reasoning>\nFinal Answer: 1202.88"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -433 + 227"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -433 and 227: -433 + 227 = -206.\n</reasoning>\nFinal Answer: -206"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 787 × 795"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 787 by 795: 787 × 795 = 625665.\n</reasoning>\nFinal Answer: 625665"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [64, 70, 6, 15, 15, 65, 84, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {64: 1, 70: 1, 6: 1, 15: 2, 65: 1, 84: 1, 4: 1}. Most frequent: 15.\n</reasoning>\nFinal Answer: 15"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "19 is what percentage of 88?"
},
{
"role": "assistant",
"content": "<reasoning>\n(19/88) × 100 = 21.5909%.\n</reasoning>\nFinal Answer: 21.5909%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -64 ÷ 372"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -64 by 372. -64 ÷ 372 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 1/18 / 15/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/18) ÷ (15/15) = (1/18) × (15/15) = 1/18.\n</reasoning>\nFinal Answer: 1/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [2, 5, 8, 10] and B = [5, 9, 13, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [2, 8, 10].\n</reasoning>\nFinal Answer: [2, 8, 10]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 16 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 16²=256, then 12+256-41=227.\n</reasoning>\nFinal Answer: 227"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "What is 15% of 810?"
},
{
"role": "assistant",
"content": "<reasoning>\n15% of 810 = (15/100) × 810 = 121.5.\n</reasoning>\nFinal Answer: 121.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -103 + -354"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -103 and -354: -103 + -354 = -457.\n</reasoning>\nFinal Answer: -457"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/16 * 4/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/16) × (4/12) = (24/192) = 1/8 after simplification.\n</reasoning>\nFinal Answer: 1/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 49 = 454"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 9x = 405. Divide by 9: x = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 960 + -755"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 960 and -755: 960 + -755 = 205.\n</reasoning>\nFinal Answer: 205"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [12, 14, 19] and B = [5, 9, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [12, 14, 19].\n</reasoning>\nFinal Answer: [12, 14, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 3/6 / 16/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/6) ÷ (16/15) = (3/6) × (15/16) = 15/32.\n</reasoning>\nFinal Answer: 15/32"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 79 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 79 × 39 = 3081.\n</reasoning>\nFinal Answer: 3081"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [5, 10, 12, 13, 14] and B = [1, 4, 5, 13, 15, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5, 13].\n</reasoning>\nFinal Answer: [5, 13]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 18/14 * 14/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/14) × (14/13) = (252/182) = 18/13 after simplification.\n</reasoning>\nFinal Answer: 18/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 22 = 454"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 24x = 432. Divide by 24: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 57 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 57 × 30 = 1710.\n</reasoning>\nFinal Answer: 1710"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 934 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 40%: 934 × (1 + 40/100) = 934 × 1.4 = 1307.6.\n</reasoning>\nFinal Answer: 1307.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 4/5 / 16/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/5) ÷ (16/4) = (4/5) × (4/16) = 1/5.\n</reasoning>\nFinal Answer: 1/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:1 and A = 27, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/1, so B = A × (1/49) = 27 × 1/49 = 0.551.\n</reasoning>\nFinal Answer: 0.551"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 681 ÷ 378"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 681 by 378. 681 ÷ 378 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
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