messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Solve: 2x² + (30)x + (112) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 30² - 4×2×112 = 4. √discriminant = 2. x = (-(30) ± 2) / (2×2). Solutions: x = -7 or x = -8.\n</reasoning>\nFinal Answer: x = -7 or x = -8"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the mean of: [84, 35, 71, 67, 56, 61, 38, 88, 87, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 619/10 = 61.9.\n</reasoning>\nFinal Answer: 61.9"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 29, 18 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (29+18) × 22 = 517.0.\n</reasoning>\nFinal Answer: 517.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -37 = 3"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -37 from both sides: 4x = 40. Divide by 4: x = 10.\n</reasoning>\nFinal Answer: 10"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -10 = -350"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -10 from both sides: 20x = -340. Divide by 20: x = -17.\n</reasoning>\nFinal Answer: -17"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 3, 20, and 20."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 3 + 20 + 20 = 43.\n</reasoning>\nFinal Answer: 43"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "699 is what percentage of 906?"
},
{
"role": "assistant",
"content": "<reasoning>\n(699/906) × 100 = 77.1523%.\n</reasoning>\nFinal Answer: 77.1523%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 985 ÷ 427"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 985 by 427. 985 ÷ 427 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + -6 = 894"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 25x = 900. Divide by 25: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 3% of 680?"
},
{
"role": "assistant",
"content": "<reasoning>\n3% of 680 = (3/100) × 680 = 20.4.\n</reasoning>\nFinal Answer: 20.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [83, 95, 98, 39, 98, 28]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {83: 1, 95: 1, 98: 2, 39: 1, 28: 1}. Most frequent: 98.\n</reasoning>\nFinal Answer: 98"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 29 and height 77."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 29 × 77 = 2233.\n</reasoning>\nFinal Answer: 2233"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -18 = 288"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -18 from both sides: 9x = 306. Divide by 9: x = 34.\n</reasoning>\nFinal Answer: 34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (26 + 19) * (14 - 43)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (26+19)=45, (14-43)=-29, then 45×-29=-1305.\n</reasoning>\nFinal Answer: -1305"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -791 ÷ -282"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -791 by -282. -791 ÷ -282 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 6/4 + 8/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/4 + 8/9. Common denominator = 18. Result = 43/18.\n</reasoning>\nFinal Answer: 43/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹20445 at 9% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 20445 × 9 × 1 / 100 = 1840.05.\n</reasoning>\nFinal Answer: 1840.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 28 = -16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 11x = -44. Divide by 11: x = -4.\n</reasoning>\nFinal Answer: -4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 155 apples and buys 34 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 155 + 34 = 189.\n</reasoning>\nFinal Answer: 189"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [55, 41, 26, 62, 22, 48, 63, 54, 74, 80]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [22, 26, 41, 48, 54, 55, 62, 63, 74, 80]. Middle value(s) → median = 54.5.\n</reasoning>\nFinal Answer: 54.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "An item costs ₹4741. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4741 × 28/100 = 1327.48. Total = 4741 + 1327.48 = 6068.48.\n</reasoning>\nFinal Answer: 6068.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 65 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 65 × (1 + 65/100) = 65 × 1.65 = 107.25.\n</reasoning>\nFinal Answer: 107.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [1, 5, 9, 13, 14, 17] and B = [5, 8, 9, 12, 14, 16], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [1, 8, 12, 13, 16, 17].\n</reasoning>\nFinal Answe... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 473 ÷ -575"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 473 by -575. 473 ÷ -575 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 680 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 680 × (1 + 17/100) = 680 × 1.17 = 795.6.\n</reasoning>\nFinal Answer: 795.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:39 and A = 34, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/39, so B = A × (39/25) = 34 × 39/25 = 53.04.\n</reasoning>\nFinal Answer: 53.04"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 83 and height 64."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 83 × 64 = 2656.0.\n</reasoning>\nFinal Answer: 2656.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 5 + 35 ** 2 - 27"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 35²=1225, then 5+1225-27=1203.\n</reasoning>\nFinal Answer: 1203"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 16/8 + 10/6"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 16/8 + 10/6. Common denominator = 3. Result = 11/3.\n</reasoning>\nFinal Answer: 11/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/12 / 13/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/12) ÷ (13/16) = (13/12) × (16/13) = 4/3.\n</reasoning>\nFinal Answer: 4/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 3/20 / 17/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (3/20) ÷ (17/3) = (3/20) × (3/17) = 9/340.\n</reasoning>\nFinal Answer: 9/340"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 834 + 288"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 834 and 288: 834 + 288 = 1122.\n</reasoning>\nFinal Answer: 1122"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -9 = -738"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 27x = -729. Divide by 27: x = -27.\n</reasoning>\nFinal Answer: -27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -858 × -500"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -858 by -500: -858 × -500 = 429000.\n</reasoning>\nFinal Answer: 429000"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -961 × 506"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -961 by 506: -961 × 506 = -486266.\n</reasoning>\nFinal Answer: -486266"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 190 and 155."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(190,155) = 5.\n</reasoning>\nFinal Answer: 5"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 1:42 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 1/42, so B = A × (42/1) = 51 × 42/1 = 2142.0.\n</reasoning>\nFinal Answer: 2142.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 874 mod -61"
},
{
"role": "assistant",
"content": "<reasoning>\n874 mod -61: 874 = -61 × -15 + -41, so remainder = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -364 × 524"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -364 by 524: -364 × 524 = -190736.\n</reasoning>\nFinal Answer: -190736"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -7 = -15"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 8x = -8. Divide by 8: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 676 mod 212"
},
{
"role": "assistant",
"content": "<reasoning>\n676 mod 212: 676 = 212 × 3 + 40, so remainder = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [70, 76, 71, 85, 71, 83]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {70: 1, 76: 1, 71: 2, 85: 1, 83: 1}. Most frequent: 71.\n</reasoning>\nFinal Answer: 71"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (32 + 47) * (33 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (32+47)=79, (33-49)=-16, then 79×-16=-1264.\n</reasoning>\nFinal Answer: -1264"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 16, find the 17th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (17-1)×16 = 43 + 256 = 299.\n</reasoning>\nFinal Answer: 299"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 15/20 / 12/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/20) ÷ (12/13) = (15/20) × (13/12) = 13/16.\n</reasoning>\nFinal Answer: 13/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 1 = 1121"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 28x = 1120. Divide by 28: x = 40.\n</reasoning>\nFinal Answer: 40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -138 - -640"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -640 from -138: -138 - -640 = 502.\n</reasoning>\nFinal Answer: 502"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -738 × 674"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -738 by 674: -738 × 674 = -497412.\n</reasoning>\nFinal Answer: -497412"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 668 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 668 × (1 + 5/100) = 668 × 1.05 = 701.4.\n</reasoning>\nFinal Answer: 701.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 5/6 * 5/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/6) × (5/11) = (25/66) = 25/66 after simplification.\n</reasoning>\nFinal Answer: 25/66"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 19 and common difference 14, find the 32th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 19 + (32-1)×14 = 19 + 434 = 453.\n</reasoning>\nFinal Answer: 453"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 10 and common difference 16, find the 41th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 10 + (41-1)×16 = 10 + 640 = 650.\n</reasoning>\nFinal Answer: 650"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "What is 65% of 892?"
},
{
"role": "assistant",
"content": "<reasoning>\n65% of 892 = (65/100) × 892 = 579.8.\n</reasoning>\nFinal Answer: 579.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 171 - -912"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -912 from 171: 171 - -912 = 1083.\n</reasoning>\nFinal Answer: 1083"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 4, 8, 10, 13, 18, 19] and B = [12, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [18, 19].\n</reasoning>\nFinal Answer: [18, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 20 = 58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 1x = 38. Divide by 1: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 27 = -486"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 27 from both sides: 27x = -513. Divide by 27: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 961 × -849"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 961 by -849: 961 × -849 = -815889.\n</reasoning>\nFinal Answer: -815889"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 672 × -529"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 672 by -529: 672 × -529 = -355488.\n</reasoning>\nFinal Answer: -355488"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 491 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 17%: 491 × (1 + 17/100) = 491 × 1.17 = 574.47.\n</reasoning>\nFinal Answer: 574.47"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [81, 5, 57, 80, 51, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {81: 1, 5: 1, 57: 1, 80: 1, 51: 1, 3: 1}. Most frequent: [81, 5, 57, 80, 51, 3].\n</reasoning>\nFinal Answer: [81, 5, 57, 80, 51, 3]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:50 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/50, so B = A × (50/30) = 50 × 50/30 = 83.3333.\n</reasoning>\nFinal Answer: 83.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 22 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 22 = 154 worker-days. New time = 154 / 15 = 10.2667 days.\n</reasoning>\nFinal Answer: 10.2667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 681 ÷ 204"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 681 by 204. 681 ÷ 204 = 3 (integer division).\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -32 = 766"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -32 from both sides: 19x = 798. Divide by 19: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [66, 4, 63, 79, 72, 63, 32, 33]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 32, 33, 63, 63, 66, 72, 79]. Middle value(s) → median = 63.0.\n</reasoning>\nFinal Answer: 63.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 60 and width 74."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(60+74) = 2×134 = 268.\n</reasoning>\nFinal Answer: 268"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [37, 50, 60, 67, 85, 86, 52, 35, 12, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 12 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Ravi has 166 apples and buys 73 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 166 + 73 = 239.\n</reasoning>\nFinal Answer: 239"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 408 km apart. Their speeds are 66 km/h and 58 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 66+58=124 km/h. Time = 408/124 = 3.2903 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "5 is what percentage of 157?"
},
{
"role": "assistant",
"content": "<reasoning>\n(5/157) × 100 = 3.1847%.\n</reasoning>\nFinal Answer: 3.1847%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 13 + 9 * 34 - 50"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×34=306, then 13+306-50=269.\n</reasoning>\nFinal Answer: 269"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4458. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4458 × 5/100 = 222.9. Total = 4458 + 222.9 = 4680.9.\n</reasoning>\nFinal Answer: 4680.9"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 25x + 16 = 1241"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 25x = 1225. Divide by 25: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 210 ÷ -520"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 210 by -520. 210 ÷ -520 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -41 = 609"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -41 from both sides: 13x = 650. Divide by 13: x = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 40:24 and A = 8, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 40/24, so B = A × (24/40) = 8 × 24/40 = 4.8.\n</reasoning>\nFinal Answer: 4.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [33, 66, 14, 100, 33, 90, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 14 = 86.\n</reasoning>\nFinal Answer: 86"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -14 = -878"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -14 from both sides: 27x = -864. Divide by 27: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/9 / 5/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/9) ÷ (5/2) = (9/9) × (2/5) = 2/5.\n</reasoning>\nFinal Answer: 2/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -106 ÷ 308"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -106 by 308. -106 ÷ 308 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 6, 16 and height 25."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (6+16) × 25 = 275.0.\n</reasoning>\nFinal Answer: 275.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 19 and height 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 19 × 54 = 513.0.\n</reasoning>\nFinal Answer: 513.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [17, 33, 49, 65, 81]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 17 and common difference 16. Next term = 81 + 16 = 97.\n</reasoning>\nFinal Answer: 97"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 9/11 + 12/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/11 + 12/8. Common denominator = 22. Result = 51/22.\n</reasoning>\nFinal Answer: 51/22"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:27 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/27, so B = A × (27/21) = 37 × 27/21 = 47.5714.\n</reasoning>\nFinal Answer: 47.5714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -536 × 78"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -536 by 78: -536 × 78 = -41808.\n</reasoning>\nFinal Answer: -41808"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [51, 14, 66, 33, 100, 22, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 375/7 = 53.5714.\n</reasoning>\nFinal Answer: 53.5714"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 43 and height 30."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 43 × 30 = 645.0.\n</reasoning>\nFinal Answer: 645.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹35837 at 11% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 35837 × 11 × 3 / 100 = 11826.21.\n</reasoning>\nFinal Answer: 11826.21"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 172 apples and buys 58 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 172 + 58 = 230.\n</reasoning>\nFinal Answer: 230"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 18, 33 and height 40."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (18+33) × 40 = 1020.0.\n</reasoning>\nFinal Answer: 1020.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 39) * (13 - 34)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+39)=83, (13-34)=-21, then 83×-21=-1743.\n</reasoning>\nFinal Answer: -1743"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 38 ** 2 - 12"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 38²=1444, then 31+1444-12=1463.\n</reasoning>\nFinal Answer: 1463"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -7 = 74"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -7 from both sides: 9x = 81. Divide by 9: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 4 ** 2 - 43"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 4²=16, then 19+16-43=-8.\n</reasoning>\nFinal Answer: -8"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 35 + 46 ** 2 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 46²=2116, then 35+2116-45=2106.\n</reasoning>\nFinal Answer: 2106"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 6, 8, 9, 10, 16, 17] and B = [1, 3, 8, 10, 14, 16, 17], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 3, 6, 8, 9, 10, 14, 16, 17].\n</reasoning>\nFinal Answer: [1, 2, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 29 mod -29"
},
{
"role": "assistant",
"content": "<reasoning>\n29 mod -29: 29 = -29 × -1 + 0, so remainder = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -23 = 172"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 15x = 195. Divide by 15: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
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