messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -19 + -417"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -19 and -417: -19 + -417 = -436.\n</reasoning>\nFinal Answer: -436"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 80% of 248?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 248 = (80/100) × 248 = 198.4.\n</reasoning>\nFinal Answer: 198.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 217 ÷ 548"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 217 by 548. 217 ÷ 548 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 10/17 * 1/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/17) × (1/2) = (10/34) = 5/17 after simplification.\n</reasoning>\nFinal Answer: 5/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/4 * 18/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (20/4) × (18/17) = (360/68) = 90/17 after simplification.\n</reasoning>\nFinal Answer: 90/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 479 × -478"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 479 by -478: 479 × -478 = -228962.\n</reasoning>\nFinal Answer: -228962"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 37:47 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 37/47, so B = A × (47/37) = 50 × 47/37 = 63.5135.\n</reasoning>\nFinal Answer: 63.5135"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 4 and 175."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(4,175) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the range of: [59, 62, 100, 67, 36, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 36 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 13 days. How many days will 4 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 13 = 39 worker-days. New time = 39 / 4 = 9.75 days.\n</reasoning>\nFinal Answer: 9.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 28 ** 2 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 28²=784, then 43+784-18=809.\n</reasoning>\nFinal Answer: 809"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 50:36 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 50/36, so B = A × (36/50) = 71 × 36/50 = 51.12.\n</reasoning>\nFinal Answer: 51.12"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 20 and height 41."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 20 × 41 = 820.\n</reasoning>\nFinal Answer: 820"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [99, 86, 72, 56, 92, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {99: 1, 86: 1, 72: 1, 56: 1, 92: 1, 52: 1}. Most frequent: [99, 86, 72, 56, 92, 52].\n</reasoning>\nFinal Answer: [99, 86, 72, 56, 92, 52]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "What is 50% of 952?"
},
{
"role": "assistant",
"content": "<reasoning>\n50% of 952 = (50/100) × 952 = 476.0.\n</reasoning>\nFinal Answer: 476.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 520 - -440"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -440 from 520: 520 - -440 = 960.\n</reasoning>\nFinal Answer: 960"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 55 and height 52."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 55 × 52 = 1430.0.\n</reasoning>\nFinal Answer: 1430.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 48 and width 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 48 × 5 = 240.\n</reasoning>\nFinal Answer: 240"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 246 × -246"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 246 by -246: 246 × -246 = -60516.\n</reasoning>\nFinal Answer: -60516"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 168 + -698"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 168 and -698: 168 + -698 = -530.\n</reasoning>\nFinal Answer: -530"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 25 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 25 = 475 worker-days. New time = 475 / 3 = 158.3333 days.\n</reasoning>\nFinal Answer: 158.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "List all positive factors of 79."
},
{
"role": "assistant",
"content": "<reasoning>\nCheck each number from 1 to 79: factors are [1, 79].\n</reasoning>\nFinal Answer: [1, 79]"
}
] | easy | [
"number_theory",
"factors"
] |
[
{
"role": "user",
"content": "Simplify: 19/20 + 2/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/20 + 2/7. Common denominator = 140. Result = 173/140.\n</reasoning>\nFinal Answer: 173/140"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:18 and A = 55, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/18, so B = A × (18/9) = 55 × 18/9 = 110.0.\n</reasoning>\nFinal Answer: 110.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 36, 14 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (36+14) × 10 = 250.0.\n</reasoning>\nFinal Answer: 250.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/5 - 19/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/5 - 19/10. LCD = 10. Result = 9/10.\n</reasoning>\nFinal Answer: 9/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -46 = 242"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 24x = 288. Divide by 24: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 45 = -245"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 29x = -290. Divide by 29: x = -10.\n</reasoning>\nFinal Answer: -10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + -46 = -36"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -46 from both sides: 1x = 10. Divide by 1: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 725 ÷ 370"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 725 by 370. 725 ÷ 370 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 12, 17] and B = [1, 3, 8, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 12].\n</reasoning>\nFinal Answer: [5, 12]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 4 * 38 + 39 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 4×38=152 and 39×3=117, then add: 269.\n</reasoning>\nFinal Answer: 269"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -199 mod 137"
},
{
"role": "assistant",
"content": "<reasoning>\n-199 mod 137: -199 = 137 × -2 + 75, so remainder = 75.\n</reasoning>\nFinal Answer: 75"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -594 - -189"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -189 from -594: -594 - -189 = -405.\n</reasoning>\nFinal Answer: -405"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -12 = 4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 8x = 16. Divide by 8: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 28 and 6."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (28×6)/2 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 13 = 77"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 4x = 64. Divide by 4: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/19 / 8/14"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/19) ÷ (8/14) = (15/19) × (14/8) = 105/76.\n</reasoning>\nFinal Answer: 105/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -453 ÷ 915"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -453 by 915. -453 ÷ 915 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 785 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 65%: 785 × (1 - 65/100) = 785 × 0.35 = 274.75.\n</reasoning>\nFinal Answer: 274.75"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (22 + 27) * (4 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (22+27)=49, (4-2)=2, then 49×2=98.\n</reasoning>\nFinal Answer: 98"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 6, 11, 13, 14, 16, 17] and B = [1, 2, 5, 9, 12, 15, 16, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [5, 6, 9, 11, 12, 13, 14, 15].\n</r... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:30 and A = 3, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/30, so B = A × (30/33) = 3 × 30/33 = 2.7273.\n</reasoning>\nFinal Answer: 2.7273"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 35, 30 and height 14."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (35+30) × 14 = 455.0.\n</reasoning>\nFinal Answer: 455.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -920 ÷ 706"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -920 by 706. -920 ÷ 706 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 2 = -66"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 17x = -68. Divide by 17: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 21 = -3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 21 from both sides: 6x = -24. Divide by 6: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 647 km apart. Their speeds are 49 km/h and 106 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 49+106=155 km/h. Time = 647/155 = 4.1742 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -416 - 643"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 643 from -416: -416 - 643 = -1059.\n</reasoning>\nFinal Answer: -1059"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 588 × -17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 588 by -17: 588 × -17 = -9996.\n</reasoning>\nFinal Answer: -9996"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "76 is what percentage of 117?"
},
{
"role": "assistant",
"content": "<reasoning>\n(76/117) × 100 = 64.9573%.\n</reasoning>\nFinal Answer: 64.9573%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 37 + 22 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×37=666 and 22×27=594, then add: 1260.\n</reasoning>\nFinal Answer: 1260"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -34 = 366"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -34 from both sides: 20x = 400. Divide by 20: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "394 is what percentage of 865?"
},
{
"role": "assistant",
"content": "<reasoning>\n(394/865) × 100 = 45.5491%.\n</reasoning>\nFinal Answer: 45.5491%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 854 km apart. Their speeds are 94 km/h and 98 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 94+98=192 km/h. Time = 854/192 = 4.4479 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (19 + 19) * (12 - 9)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (19+19)=38, (12-9)=3, then 38×3=114.\n</reasoning>\nFinal Answer: 114"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [35, 39, 80, 32, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [19, 32, 35, 39, 80]. Middle value(s) → median = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "What is 10% of 969?"
},
{
"role": "assistant",
"content": "<reasoning>\n10% of 969 = (10/100) × 969 = 96.9.\n</reasoning>\nFinal Answer: 96.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 5, 6, 7, 10, 12, 13] and B = [3, 13, 15, 16], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [3, 4, 5, 6, 7, 10, 12, 13, 15, 16].\n</reasoning>\nFinal Answer: [3, 4, 5, 6, 7, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 19 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 19²=361, then 19+361-32=348.\n</reasoning>\nFinal Answer: 348"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 60 and width 27."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 60 × 27 = 1620.\n</reasoning>\nFinal Answer: 1620"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 31 ** 2 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 31²=961, then 43+961-50=954.\n</reasoning>\nFinal Answer: 954"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/9 * 20/4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/9) × (20/4) = (220/36) = 55/9 after simplification.\n</reasoning>\nFinal Answer: 55/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (18)x + (81) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 18² - 4×1×81 = 0. √discriminant = 0. x = (-(18) ± 0) / (2×1). Solutions: x = -9 (double root).\n</reasoning>\nFinal Answer: x = -9 (double root)... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 1 and width 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 1 × 42 = 42.\n</reasoning>\nFinal Answer: 42"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -605 mod -472"
},
{
"role": "assistant",
"content": "<reasoning>\n-605 mod -472: -605 = -472 × 1 + -133, so remainder = -133.\n</reasoning>\nFinal Answer: -133"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 582 ÷ -903"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 582 by -903. 582 ÷ -903 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -524 mod -447"
},
{
"role": "assistant",
"content": "<reasoning>\n-524 mod -447: -524 = -447 × 1 + -77, so remainder = -77.\n</reasoning>\nFinal Answer: -77"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -4 = -604"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 15x = -600. Divide by 15: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 5 = -27"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 5 from both sides: 1x = -32. Divide by 1: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 3x + -33 = -15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 3x = 18. Divide by 3: x = 6.\n</reasoning>\nFinal Answer: 6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [1, 17, 99, 55, 20, 9, 97, 53, 62, 54]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 99 - 1 = 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 38:41 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 38/41, so B = A × (41/38) = 12 × 41/38 = 12.9474.\n</reasoning>\nFinal Answer: 12.9474"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 33 and width 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 33 × 65 = 2145.\n</reasoning>\nFinal Answer: 2145"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 17 and common difference 13, find the 47th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 17 + (47-1)×13 = 17 + 598 = 615.\n</reasoning>\nFinal Answer: 615"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 16/20 * 7/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/20) × (7/6) = (112/120) = 14/15 after simplification.\n</reasoning>\nFinal Answer: 14/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/5 + 6/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/5 + 6/17. Common denominator = 85. Result = 268/85.\n</reasoning>\nFinal Answer: 268/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18229 at 10% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18229 × 10 × 9 / 100 = 16406.1.\n</reasoning>\nFinal Answer: 16406.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "An item costs ₹3064. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3064 × 28/100 = 857.92. Total = 3064 + 857.92 = 3921.92.\n</reasoning>\nFinal Answer: 3921.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 375 - -330"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -330 from 375: 375 - -330 = 705.\n</reasoning>\nFinal Answer: 705"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 8:21 and A = 81, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 8/21, so B = A × (21/8) = 81 × 21/8 = 212.625.\n</reasoning>\nFinal Answer: 212.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -748 - -755"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -755 from -748: -748 - -755 = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 70 and 118."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(70,118) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 459 ÷ -697"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 459 by -697. 459 ÷ -697 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -5 = 255"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 26x = 260. Divide by 26: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 10, 30 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (10+30) × 4 = 80.0.\n</reasoning>\nFinal Answer: 80.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 982 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 982 × (1 - 17/100) = 982 × 0.83 = 815.06.\n</reasoning>\nFinal Answer: 815.06"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [56, 27, 17, 27, 72, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {56: 1, 27: 2, 17: 1, 72: 1, 18: 1}. Most frequent: 27.\n</reasoning>\nFinal Answer: 27"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Simplify: 9/8 + 14/17"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/8 + 14/17. Common denominator = 136. Result = 265/136.\n</reasoning>\nFinal Answer: 265/136"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [71, 81, 77, 9, 4, 18, 58, 91, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {71: 1, 81: 1, 77: 1, 9: 1, 4: 1, 18: 1, 58: 1, 91: 1, 13: 1}. Most frequent: [71, 81, 77, 9, 4, 18, 58, 91, 13].\n</reasoning>\nFinal Answer:... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 21, 25 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (21+25) × 48 = 1104.0.\n</reasoning>\nFinal Answer: 1104.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [52, 28, 42, 71, 88, 51, 26, 53, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 88 - 9 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Ravi has 82 apples and buys 113 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 82 + 113 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 1/17 / 6/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (1/17) ÷ (6/8) = (1/17) × (8/6) = 4/51.\n</reasoning>\nFinal Answer: 4/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 11 = 281"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 30x = 270. Divide by 30: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 20, 26, and 37."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 20 + 26 + 37 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 619 km apart. Their speeds are 49 km/h and 91 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 49+91=140 km/h. Time = 619/140 = 4.4214 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/5 / 5/20"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/5) ÷ (5/20) = (20/5) × (20/5) = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -12 = -112"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 2x = -100. Divide by 2: x = -50.\n</reasoning>\nFinal Answer: -50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 560 mod -551"
},
{
"role": "assistant",
"content": "<reasoning>\n560 mod -551: 560 = -551 × -2 + -542, so remainder = -542.\n</reasoning>\nFinal Answer: -542"
}
] | medium | [
"arithmetic",
"computation"
] |
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