messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a triangle with base 85 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 85 × 39 = 1657.5.\n</reasoning>\nFinal Answer: 1657.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 30 = -205"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 30 from both sides: 5x = -235. Divide by 5: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/10 / 20/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/10) ÷ (20/18) = (6/10) × (18/20) = 27/50.\n</reasoning>\nFinal Answer: 27/50"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 25, 29, and 34."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 25 + 29 + 34 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 23 and common difference 10, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 23 + (39-1)×10 = 23 + 380 = 403.\n</reasoning>\nFinal Answer: 403"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 920 + -58"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 920 and -58: 920 + -58 = 862.\n</reasoning>\nFinal Answer: 862"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 45 * 22 + 13 * 5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 45×22=990 and 13×5=65, then add: 1055.\n</reasoning>\nFinal Answer: 1055"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 505 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 505 × (1 - 20/100) = 505 × 0.8 = 404.0.\n</reasoning>\nFinal Answer: 404.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 15, 24, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 15 + 24 + 38 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹47008 at 7% per annum for 7 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 47008 × 7 × 7 / 100 = 23033.92.\n</reasoning>\nFinal Answer: 23033.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹11548 at 1% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 11548 × 1 × 4 / 100 = 461.92.\n</reasoning>\nFinal Answer: 461.92"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 6/18 * 17/7"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/18) × (17/7) = (102/126) = 17/21 after simplification.\n</reasoning>\nFinal Answer: 17/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 11/12 - 9/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/12 - 9/6. LCD = 12. Result = -7/12.\n</reasoning>\nFinal Answer: -7/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/17 - 5/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/17 - 5/20. LCD = 68. Result = 55/68.\n</reasoning>\nFinal Answer: 55/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 50 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 50²=2500, then 35+2500-32=2503.\n</reasoning>\nFinal Answer: 2503"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 7/15 / 19/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/15) ÷ (19/8) = (7/15) × (8/19) = 56/285.\n</reasoning>\nFinal Answer: 56/285"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [60, 10, 64, 91, 69, 54, 68, 30, 40, 65]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 10 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -326 × 326"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -326 by 326: -326 × 326 = -106276.\n</reasoning>\nFinal Answer: -106276"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 27, 49 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (27+49) × 5 = 190.0.\n</reasoning>\nFinal Answer: 190.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 36 and width 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 36 × 22 = 792.\n</reasoning>\nFinal Answer: 792"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -491 ÷ 854"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -491 by 854. -491 ÷ 854 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -888 + 121"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -888 and 121: -888 + 121 = -767.\n</reasoning>\nFinal Answer: -767"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [16, 76, 53, 49, 53, 5, 35]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [5, 16, 35, 49, 53, 53, 76]. Middle value(s) → median = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A train travels at 116 km/h. How far does it travel in 5 hours and 44 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 44/60 = 5.7333 hours. Distance = speed × time = 116 × 5.7333 = 665.0667 km.\n</reasoning>\nFinal Answer: 665.0667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹32949 at 18% per annum for 8 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 32949 × 18 × 8 / 100 = 47446.56.\n</reasoning>\nFinal Answer: 47446.56"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20482 at 19% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20482 × 19 × 9 / 100 = 35024.22.\n</reasoning>\nFinal Answer: 35024.22"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -33 = -43"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 5x = -10. Divide by 5: x = -2.\n</reasoning>\nFinal Answer: -2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 18, and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 18 + 29 = 65.\n</reasoning>\nFinal Answer: 65"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "A train travels at 54 km/h. How far does it travel in 3 hours and 17 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 17/60 = 3.2833 hours. Distance = speed × time = 54 × 3.2833 = 177.3 km.\n</reasoning>\nFinal Answer: 177.3"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 137 ÷ -972"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 137 by -972. 137 ÷ -972 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹18366 at 13% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 18366 × 13 × 4 / 100 = 9550.32.\n</reasoning>\nFinal Answer: 9550.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/15 - 19/19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 19/15 - 19/19. LCD = 15. Result = 4/15.\n</reasoning>\nFinal Answer: 4/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 185 - 330"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 330 from 185: 185 - 330 = -145.\n</reasoning>\nFinal Answer: -145"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -237 mod 827"
},
{
"role": "assistant",
"content": "<reasoning>\n-237 mod 827: -237 = 827 × -1 + 590, so remainder = 590.\n</reasoning>\nFinal Answer: 590"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [2, 9, 10, 12, 15] and B = [1, 8, 9, 11, 13], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 8, 9, 10, 11, 12, 13, 15].\n</reasoning>\nFinal Answer: [1, 2, 8, 9, 10, 11, 12, 1... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 557 km apart. Their speeds are 96 km/h and 88 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 96+88=184 km/h. Time = 557/184 = 3.0272 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + 32 = -210"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 22x = -242. Divide by 22: x = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -12 = -741"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 27x = -729. Divide by 27: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 10/16 + 16/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/16 + 16/19. Common denominator = 152. Result = 223/152.\n</reasoning>\nFinal Answer: 223/152"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "568 is what percentage of 926?"
},
{
"role": "assistant",
"content": "<reasoning>\n(568/926) × 100 = 61.3391%.\n</reasoning>\nFinal Answer: 61.3391%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -12 = 839"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 23x = 851. Divide by 23: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 13/3 - 5/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/3 - 5/4. LCD = 12. Result = 37/12.\n</reasoning>\nFinal Answer: 37/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 65% of 378?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 378 = (65/100) × 378 = 245.7.\n</reasoning>\nFinal Answer: 245.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [80, 15, 92, 80, 20, 92, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 15 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 17/5 + 8/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 17/5 + 8/8. Common denominator = 5. Result = 22/5.\n</reasoning>\nFinal Answer: 22/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (2 + 17) * (19 - 12)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (2+17)=19, (19-12)=7, then 19×7=133.\n</reasoning>\nFinal Answer: 133"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 669 × 700"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 669 by 700: 669 × 700 = 468300.\n</reasoning>\nFinal Answer: 468300"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 690 + 767"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 690 and 767: 690 + 767 = 1457.\n</reasoning>\nFinal Answer: 1457"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 6) * (48 - 8)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+6)=31, (48-8)=40, then 31×40=1240.\n</reasoning>\nFinal Answer: 1240"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -433 × -611"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -433 by -611: -433 × -611 = 264563.\n</reasoning>\nFinal Answer: 264563"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/3 * 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/3) × (4/5) = (20/15) = 4/3 after simplification.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -645 + 947"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -645 and 947: -645 + 947 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 58 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 58 × 77 = 2233.0.\n</reasoning>\nFinal Answer: 2233.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 4, 11, 13, 14, 18] and B = [2, 4, 5, 6, 10, 15, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 11, 13, 14].\n</reasoning>\nFinal Answer: [3, 11, 13, 14]"
}
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [2, 12, 15, 16] and B = [1, 10, 15], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [15].\n</reasoning>\nFinal Answer: [15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 745 ÷ 167"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 745 by 167. 745 ÷ 167 = 4 (integer division).\n</reasoning>\nFinal Answer: 4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 51 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 100%: 51 × (1 + 100/100) = 51 × 2.0 = 102.0.\n</reasoning>\nFinal Answer: 102.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 44 and height 39."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 44 × 39 = 858.0.\n</reasoning>\nFinal Answer: 858.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 3/15 + 18/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/15 + 18/5. Common denominator = 5. Result = 19/5.\n</reasoning>\nFinal Answer: 19/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 26 ** 2 - 39"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 26²=676, then 43+676-39=680.\n</reasoning>\nFinal Answer: 680"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 18, find the 36th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (36-1)×18 = 19 + 630 = 649.\n</reasoning>\nFinal Answer: 649"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 18/15 + 12/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 18/15 + 12/9. Common denominator = 15. Result = 38/15.\n</reasoning>\nFinal Answer: 38/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 14 and 2."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (14×2)/2 = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 988 km apart. Their speeds are 114 km/h and 85 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 114+85=199 km/h. Time = 988/199 = 4.9648 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -42 = -42"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 20x = 0. Divide by 20: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 694 km apart. Their speeds are 84 km/h and 105 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 84+105=189 km/h. Time = 694/189 = 3.672 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 15 and common difference 17, find the 28th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 15 + (28-1)×17 = 15 + 459 = 474.\n</reasoning>\nFinal Answer: 474"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: -815 + 832"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -815 and 832: -815 + 832 = 17.\n</reasoning>\nFinal Answer: 17"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/11 + 7/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/11 + 7/10. Common denominator = 110. Result = 137/110.\n</reasoning>\nFinal Answer: 137/110"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "An item costs ₹4151. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4151 × 5/100 = 207.55. Total = 4151 + 207.55 = 4358.55.\n</reasoning>\nFinal Answer: 4358.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 3 and 85."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(3,85) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Simplify: 3/5 * 3/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/5) × (3/10) = (9/50) = 9/50 after simplification.\n</reasoning>\nFinal Answer: 9/50"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "What is 100% of 274?"
},
{
"role": "assistant",
"content": "<reasoning>\n100% of 274 = (100/100) × 274 = 274.0.\n</reasoning>\nFinal Answer: 274.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -4 = 1171"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 25x = 1175. Divide by 25: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 807 ÷ 426"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 807 by 426. 807 ÷ 426 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -968 ÷ 426"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -968 by 426. -968 ÷ 426 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 189 km/h. How far does it travel in 5 hours and 36 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 36/60 = 5.6000 hours. Distance = speed × time = 189 × 5.6000 = 1058.4 km.\n</reasoning>\nFinal Answer: 1058.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 276 + 7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 276 and 7: 276 + 7 = 283.\n</reasoning>\nFinal Answer: 283"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹43626 at 6% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 43626 × 6 × 4 / 100 = 10470.24.\n</reasoning>\nFinal Answer: 10470.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 697 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 697 × (1 + 12/100) = 697 × 1.12 = 780.64.\n</reasoning>\nFinal Answer: 780.64"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 170 km/h. How far does it travel in 11 hours and 41 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 11 + 41/60 = 11.6833 hours. Distance = speed × time = 170 × 11.6833 = 1986.1667 km.\n</reasoning>\nFinal Answer: 1986.1667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 17 + 28 * 32 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 28×32=896, then 17+896-30=883.\n</reasoning>\nFinal Answer: 883"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -997 + -992"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -997 and -992: -997 + -992 = -1989.\n</reasoning>\nFinal Answer: -1989"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 535 - 638"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 638 from 535: 535 - 638 = -103.\n</reasoning>\nFinal Answer: -103"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 182 + -13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 182 and -13: 182 + -13 = 169.\n</reasoning>\nFinal Answer: 169"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 197 km/h. How far does it travel in 8 hours and 5 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 8 + 5/60 = 8.0833 hours. Distance = speed × time = 197 × 8.0833 = 1592.4167 km.\n</reasoning>\nFinal Answer: 1592.4167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + -14 = -83"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 23x = -69. Divide by 23: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:7 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/7, so B = A × (7/34) = 39 × 7/34 = 8.0294.\n</reasoning>\nFinal Answer: 8.0294"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 5/14 / 17/5"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (5/14) ÷ (17/5) = (5/14) × (5/17) = 25/238.\n</reasoning>\nFinal Answer: 25/238"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 51 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 51 × (1 - 40/100) = 51 × 0.6 = 30.6.\n</reasoning>\nFinal Answer: 30.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -488 + -584"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -488 and -584: -488 + -584 = -1072.\n</reasoning>\nFinal Answer: -1072"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 18 and height 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 18 × 90 = 810.0.\n</reasoning>\nFinal Answer: 810.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [4, 9, 11, 16, 17, 19] and B = [1, 2, 6, 9, 11, 14, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 16, 19].\n</reasoning>\nFinal Answer: [4, 16, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the mode of: [53, 44, 70, 27, 36, 21, 79, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {53: 1, 44: 1, 70: 1, 27: 1, 36: 1, 21: 1, 79: 1, 68: 1}. Most frequent: [53, 44, 70, 27, 36, 21, 79, 68].\n</reasoning>\nFinal Answer: [53, 44,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [74, 66, 6, 84, 4, 43, 63]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 6, 43, 63, 66, 74, 84]. Middle value(s) → median = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:37 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/37, so B = A × (37/30) = 97 × 37/30 = 119.6333.\n</reasoning>\nFinal Answer: 119.6333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 63 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 63 × 36 = 2268.\n</reasoning>\nFinal Answer: 2268"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 633 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 633 × (1 - 60/100) = 633 × 0.4 = 253.2.\n</reasoning>\nFinal Answer: 253.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-10)x + (-175) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -10² - 4×5×-175 = 3600. √discriminant = 60. x = (-(-10) ± 60) / (2×5). Solutions: x = 7 or x = -5.\n</reasoning>\nFinal Answer: x = 7 or x = ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 26 * 50 + 23 * 26"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 26×50=1300 and 23×26=598, then add: 1898.\n</reasoning>\nFinal Answer: 1898"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
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