messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Ravi has 131 apples and buys 40 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 131 + 40 = 171.\n</reasoning>\nFinal Answer: 171"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -8 = 72"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -8 from both sides: 10x = 80. Divide by 10: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 258 mod 576"
},
{
"role": "assistant",
"content": "<reasoning>\n258 mod 576: 258 = 576 × 0 + 258, so remainder = 258.\n</reasoning>\nFinal Answer: 258"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 35 and height 84."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 35 × 84 = 1470.0.\n</reasoning>\nFinal Answer: 1470.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/18 * 14/12"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/18) × (14/12) = (196/216) = 49/54 after simplification.\n</reasoning>\nFinal Answer: 49/54"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 42 and 179."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(42,179) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 757 × -874"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 757 by -874: 757 × -874 = -661618.\n</reasoning>\nFinal Answer: -661618"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "25 is what percentage of 128?"
},
{
"role": "assistant",
"content": "<reasoning>\n(25/128) × 100 = 19.5312%.\n</reasoning>\nFinal Answer: 19.5312%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 109 and 141."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(109,141) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 26 = 7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 19x = -19. Divide by 19: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 536 + 161"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 536 and 161: 536 + 161 = 697.\n</reasoning>\nFinal Answer: 697"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -619 - -327"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -327 from -619: -619 - -327 = -292.\n</reasoning>\nFinal Answer: -292"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 43, 40 and height 50."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (43+40) × 50 = 2075.0.\n</reasoning>\nFinal Answer: 2075.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 618 + -233"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 618 and -233: 618 + -233 = 385.\n</reasoning>\nFinal Answer: 385"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -294 - 686"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 686 from -294: -294 - 686 = -980.\n</reasoning>\nFinal Answer: -980"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [8, 77, 48, 78, 79, 31, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {8: 1, 77: 1, 48: 1, 78: 1, 79: 1, 31: 1, 92: 1}. Most frequent: [8, 77, 48, 78, 79, 31, 92].\n</reasoning>\nFinal Answer: [8, 77, 48, 78, 79, 31, 92... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 257 km apart. Their speeds are 99 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 99+101=200 km/h. Time = 257/200 = 1.285 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 32 = 308"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 32 from both sides: 6x = 276. Divide by 6: x = 46.\n</reasoning>\nFinal Answer: 46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 5% of 847?"
},
{
"role": "assistant",
"content": "<reasoning>\n5% of 847 = (5/100) × 847 = 42.35.\n</reasoning>\nFinal Answer: 42.35"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 16/7 * 4/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (16/7) × (4/17) = (64/119) = 64/119 after simplification.\n</reasoning>\nFinal Answer: 64/119"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 95 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 95 × 11 = 522.5.\n</reasoning>\nFinal Answer: 522.5"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 33 + 6 * 20"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×33=1584 and 6×20=120, then add: 1704.\n</reasoning>\nFinal Answer: 1704"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 14] and B = [2, 7, 9, 11, 14], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 7, 9, 11].\n</reasoning>\nFinal Answer: [4, 7, 9, 11]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 25 and height 65."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 25 × 65 = 1625.\n</reasoning>\nFinal Answer: 1625"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Increase 687 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 687 × (1 + 10/100) = 687 × 1.1 = 755.7.\n</reasoning>\nFinal Answer: 755.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 25 days. How many days will 14 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 25 = 425 worker-days. New time = 425 / 14 = 30.3571 days.\n</reasoning>\nFinal Answer: 30.3571"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 9 * 45 - 30"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×45=405, then 10+405-30=385.\n</reasoning>\nFinal Answer: 385"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 99 apples and buys 177 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 99 + 177 = 276.\n</reasoning>\nFinal Answer: 276"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -634 + 936"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -634 and 936: -634 + 936 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -36 = 822"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -36 from both sides: 26x = 858. Divide by 26: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "274 is what percentage of 474?"
},
{
"role": "assistant",
"content": "<reasoning>\n(274/474) × 100 = 57.8059%.\n</reasoning>\nFinal Answer: 57.8059%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -536 ÷ -644"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -536 by -644. -536 ÷ -644 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 29."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×29)/1 = 1247.\n</reasoning>\nFinal Answer: 1247"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "An item costs ₹2033. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2033 × 28/100 = 569.24. Total = 2033 + 569.24 = 2602.24.\n</reasoning>\nFinal Answer: 2602.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 20/10 / 4/18"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/10) ÷ (4/18) = (20/10) × (18/4) = 9.\n</reasoning>\nFinal Answer: 9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 164 apples and buys 5 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 164 + 5 = 169.\n</reasoning>\nFinal Answer: 169"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -684 - 182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 182 from -684: -684 - 182 = -866.\n</reasoning>\nFinal Answer: -866"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [58, 20, 91, 8, 59, 87, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 346/7 = 49.4286.\n</reasoning>\nFinal Answer: 49.4286"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 12 + 20 * 6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×12=528 and 20×6=120, then add: 648.\n</reasoning>\nFinal Answer: 648"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the range of: [92, 38, 10, 34, 63, 47, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 92 - 10 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "An item costs ₹1476. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1476 × 12/100 = 177.12. Total = 1476 + 177.12 = 1653.12.\n</reasoning>\nFinal Answer: 1653.12"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 41) * (44 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+41)=82, (44-48)=-4, then 82×-4=-328.\n</reasoning>\nFinal Answer: -328"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [82, 59, 61, 1, 64, 98, 15]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 15, 59, 61, 64, 82, 98]. Middle value(s) → median = 61.\n</reasoning>\nFinal Answer: 61"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 90 and height 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 90 × 82 = 3690.0.\n</reasoning>\nFinal Answer: 3690.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 60 and height 62."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 60 × 62 = 3720.\n</reasoning>\nFinal Answer: 3720"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 58 and width 25."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(58+25) = 2×83 = 166.\n</reasoning>\nFinal Answer: 166"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 10/18 + 17/1"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 10/18 + 17/1. Common denominator = 9. Result = 158/9.\n</reasoning>\nFinal Answer: 158/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -45 = 255"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -45 from both sides: 15x = 300. Divide by 15: x = 20.\n</reasoning>\nFinal Answer: 20"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 944 + -585"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 944 and -585: 944 + -585 = 359.\n</reasoning>\nFinal Answer: 359"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 196 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 3%: 196 × (1 + 3/100) = 196 × 1.03 = 201.88.\n</reasoning>\nFinal Answer: 201.88"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹33519 at 17% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 33519 × 17 × 2 / 100 = 11396.46.\n</reasoning>\nFinal Answer: 11396.46"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 49 and 24."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (49×24)/1 = 1176.\n</reasoning>\nFinal Answer: 1176"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 5/1 - 18/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 5/1 - 18/13. LCD = 13. Result = 47/13.\n</reasoning>\nFinal Answer: 47/13"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 29 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 29 = 493 worker-days. New time = 493 / 15 = 32.8667 days.\n</reasoning>\nFinal Answer: 32.8667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:5 and A = 40, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/5, so B = A × (5/46) = 40 × 5/46 = 4.3478.\n</reasoning>\nFinal Answer: 4.3478"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -533 + 286"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -533 and 286: -533 + 286 = -247.\n</reasoning>\nFinal Answer: -247"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -13 = -94"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 9x = -81. Divide by 9: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 16/1 / 14/6"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/1) ÷ (14/6) = (16/1) × (6/14) = 48/7.\n</reasoning>\nFinal Answer: 48/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 10, find the 14th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (14-1)×10 = 19 + 130 = 149.\n</reasoning>\nFinal Answer: 149"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:9 and A = 4, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/9, so B = A × (9/15) = 4 × 9/15 = 2.4.\n</reasoning>\nFinal Answer: 2.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 45% of 484?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 484 = (45/100) × 484 = 217.8.\n</reasoning>\nFinal Answer: 217.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 444 mod -469"
},
{
"role": "assistant",
"content": "<reasoning>\n444 mod -469: 444 = -469 × -1 + -25, so remainder = -25.\n</reasoning>\nFinal Answer: -25"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -393 ÷ 56"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -393 by 56. -393 ÷ 56 = -8 (integer division).\n</reasoning>\nFinal Answer: -8"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 37 and height 10."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+37) × 10 = 410.0.\n</reasoning>\nFinal Answer: 410.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 11/7 - 11/3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/7 - 11/3. LCD = 21. Result = -44/21.\n</reasoning>\nFinal Answer: -44/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -60 × -884"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -60 by -884: -60 × -884 = 53040.\n</reasoning>\nFinal Answer: 53040"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 841 - -911"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -911 from 841: 841 - -911 = 1752.\n</reasoning>\nFinal Answer: 1752"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -26 = -24"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 2x = 2. Divide by 2: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -25 = 735"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -25 from both sides: 20x = 760. Divide by 20: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 17, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (21-1)×17 = 6 + 340 = 346.\n</reasoning>\nFinal Answer: 346"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [87, 100, 67, 78, 40, 45, 32, 74, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {87: 2, 100: 1, 67: 1, 78: 1, 40: 1, 45: 1, 32: 1, 74: 1}. Most frequent: 87.\n</reasoning>\nFinal Answer: 87"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -21 = -427"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 14x = -406. Divide by 14: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (48 + 21) * (39 - 38)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (48+21)=69, (39-38)=1, then 69×1=69.\n</reasoning>\nFinal Answer: 69"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [75, 62, 89, 73, 84, 58, 16, 67, 34]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 558/9 = 62.0.\n</reasoning>\nFinal Answer: 62.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 78 and width 23."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(78+23) = 2×101 = 202.\n</reasoning>\nFinal Answer: 202"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 30, 50 and height 3."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (30+50) × 3 = 120.0.\n</reasoning>\nFinal Answer: 120.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 10 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(10+93) = 2×103 = 206.\n</reasoning>\nFinal Answer: 206"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [96, 26, 3, 40, 76, 16]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {96: 1, 26: 1, 3: 1, 40: 1, 76: 1, 16: 1}. Most frequent: [96, 26, 3, 40, 76, 16].\n</reasoning>\nFinal Answer: [96, 26, 3, 40, 76, 16]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 10 and height 61."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 10 × 61 = 305.0.\n</reasoning>\nFinal Answer: 305.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 46 and height 51."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 46 × 51 = 1173.0.\n</reasoning>\nFinal Answer: 1173.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 14 ** 2 - 4"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 14²=196, then 34+196-4=226.\n</reasoning>\nFinal Answer: 226"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 16 and width 85."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(16+85) = 2×101 = 202.\n</reasoning>\nFinal Answer: 202"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the circumference of a circle with radius 12. (Use π ≈ 3.14159)"
},
{
"role": "assistant",
"content": "<reasoning>\nCircumference = 2πr = 2 × π × 12 ≈ 75.3982.\n</reasoning>\nFinal Answer: 75.3982"
}
] | easy | [
"geometry",
"circumference"
] |
[
{
"role": "user",
"content": "Calculate: 11 ÷ 444"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 11 by 444. 11 ÷ 444 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 33:19 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 33/19, so B = A × (19/33) = 10 × 19/33 = 5.7576.\n</reasoning>\nFinal Answer: 5.7576"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 8, 9, 19] and B = [2, 3, 4, 5, 11, 14, 17, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [7, 8, 9].\n</reasoning>\nFinal Answer: [7, 8, 9]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Decrease 649 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 649 × (1 - 20/100) = 649 × 0.8 = 519.2.\n</reasoning>\nFinal Answer: 519.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 4:33 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 4/33, so B = A × (33/4) = 51 × 33/4 = 420.75.\n</reasoning>\nFinal Answer: 420.75"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Ravi has 153 apples and buys 144 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 153 + 144 = 297.\n</reasoning>\nFinal Answer: 297"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 747 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 10%: 747 × (1 - 10/100) = 747 × 0.9 = 672.3.\n</reasoning>\nFinal Answer: 672.3"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [77, 36, 89, 48, 9]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 9 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Simplify: 19/3 / 20/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/3) ÷ (20/13) = (19/3) × (13/20) = 247/60.\n</reasoning>\nFinal Answer: 247/60"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -24 = -744"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 15x = -720. Divide by 15: x = -48.\n</reasoning>\nFinal Answer: -48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [32, 33, 80, 27, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {32: 1, 33: 1, 80: 1, 27: 1, 91: 1}. Most frequent: [32, 33, 80, 27, 91].\n</reasoning>\nFinal Answer: [32, 33, 80, 27, 91]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 86 apples and buys 121 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 86 + 121 = 207.\n</reasoning>\nFinal Answer: 207"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-68)x + (288) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -68² - 4×4×288 = 16. √discriminant = 4. x = (-(-68) ± 4) / (2×4). Solutions: x = 9 or x = 8.\n</reasoning>\nFinal Answer: x = 9 or x = 8"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mode of: [70, 17, 98, 61, 97, 27, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {70: 1, 17: 1, 98: 1, 61: 1, 97: 1, 27: 1, 45: 1}. Most frequent: [70, 17, 98, 61, 97, 27, 45].\n</reasoning>\nFinal Answer: [70, 17, 98, 61, 97, 27... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -47 = 213"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 10x = 260. Divide by 10: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 31 and width 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 31 × 93 = 2883.\n</reasoning>\nFinal Answer: 2883"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 2/17 + 8/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/17 + 8/6. Common denominator = 51. Result = 74/51.\n</reasoning>\nFinal Answer: 74/51"
}
] | medium | [
"fractions",
"arithmetic"
] |
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