messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: 564 - -973"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -973 from 564: 564 - -973 = 1537.\n</reasoning>\nFinal Answer: 1537"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 3:47 and A = 65, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 3/47, so B = A × (47/3) = 65 × 47/3 = 1018.3333.\n</reasoning>\nFinal Answer: 1018.3333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 60 and width 99."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(60+99) = 2×159 = 318.\n</reasoning>\nFinal Answer: 318"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 19/1 / 17/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (19/1) ÷ (17/2) = (19/1) × (2/17) = 38/17.\n</reasoning>\nFinal Answer: 38/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 46 and height 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 46 × 38 = 874.0.\n</reasoning>\nFinal Answer: 874.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹10232 at 3% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 10232 × 3 × 4 / 100 = 1227.84.\n</reasoning>\nFinal Answer: 1227.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 5, 24, and 27."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 5 + 24 + 27 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 31 and common difference 5, find the 30th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 31 + (30-1)×5 = 31 + 145 = 176.\n</reasoning>\nFinal Answer: 176"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [97, 37, 75, 93, 60, 16, 58, 31, 26]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {97: 1, 37: 1, 75: 1, 93: 1, 60: 1, 16: 1, 58: 1, 31: 1, 26: 1}. Most frequent: [97, 37, 75, 93, 60, 16, 58, 31, 26].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (-12)x + (10) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -12² - 4×2×10 = 64. √discriminant = 8. x = (-(-12) ± 8) / (2×2). Solutions: x = 5 or x = 1.\n</reasoning>\nFinal Answer: x = 5 or x = 1"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 9 and width 20."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 9 × 20 = 180.\n</reasoning>\nFinal Answer: 180"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 45 = 230"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 5x = 185. Divide by 5: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 + 14 * 47 - 23"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×47=658, then 42+658-23=677.\n</reasoning>\nFinal Answer: 677"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:22 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/22, so B = A × (22/21) = 88 × 22/21 = 92.1905.\n</reasoning>\nFinal Answer: 92.1905"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 175 km/h. How far does it travel in 10 hours and 39 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 39/60 = 10.6500 hours. Distance = speed × time = 175 × 10.6500 = 1863.75 km.\n</reasoning>\nFinal Answer: 1863.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -29 = -29"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 18x = 0. Divide by 18: x = 0.\n</reasoning>\nFinal Answer: 0"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -50 = 412"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 14x = 462. Divide by 14: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "A train travels at 171 km/h. How far does it travel in 3 hours and 2 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 2/60 = 3.0333 hours. Distance = speed × time = 171 × 3.0333 = 518.7 km.\n</reasoning>\nFinal Answer: 518.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 9, 10, 15, 16, 17, 19] and B = [4, 5, 9, 11, 12, 14, 18, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 3, 10, 15, 16, 17].\n</reasoning>\nFinal Answer: [1, 3, 10... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 43 and 135."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(43,135) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -6 = 16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 22x = 22. Divide by 22: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (19 + 32) * (2 - 48)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (19+32)=51, (2-48)=-46, then 51×-46=-2346.\n</reasoning>\nFinal Answer: -2346"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -531 ÷ 238"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -531 by 238. -531 ÷ 238 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -996 + 573"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -996 and 573: -996 + 573 = -423.\n</reasoning>\nFinal Answer: -423"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [46, 66, 12, 62, 59, 70, 71]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {46: 1, 66: 1, 12: 1, 62: 1, 59: 1, 70: 1, 71: 1}. Most frequent: [46, 66, 12, 62, 59, 70, 71].\n</reasoning>\nFinal Answer: [46, 66, 12, 62, 59, 70... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 20, 35 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (20+35) × 1 = 27.5.\n</reasoning>\nFinal Answer: 27.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 432 mod -479"
},
{
"role": "assistant",
"content": "<reasoning>\n432 mod -479: 432 = -479 × -1 + -47, so remainder = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 19/14 + 7/16"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/14 + 7/16. Common denominator = 112. Result = 201/112.\n</reasoning>\nFinal Answer: 201/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 195 km/h. How far does it travel in 12 hours and 23 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 23/60 = 12.3833 hours. Distance = speed × time = 195 × 12.3833 = 2414.75 km.\n</reasoning>\nFinal Answer: 2414.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 808 ÷ 431"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 808 by 431. 808 ÷ 431 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -394 + 536"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -394 and 536: -394 + 536 = 142.\n</reasoning>\nFinal Answer: 142"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -5 × 107"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -5 by 107: -5 × 107 = -535.\n</reasoning>\nFinal Answer: -535"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 130 km/h. How far does it travel in 6 hours and 4 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 4/60 = 6.0667 hours. Distance = speed × time = 130 × 6.0667 = 788.6667 km.\n</reasoning>\nFinal Answer: 788.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 11/8 * 12/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/8) × (12/8) = (132/64) = 33/16 after simplification.\n</reasoning>\nFinal Answer: 33/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 50 and height 35."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 50 × 35 = 1750.\n</reasoning>\nFinal Answer: 1750"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [13, 33, 24, 48, 37, 51]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 206/6 = 34.3333.\n</reasoning>\nFinal Answer: 34.3333"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 85 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 85 × 15 = 1275.\n</reasoning>\nFinal Answer: 1275"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 69 × -64"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 69 by -64: 69 × -64 = -4416.\n</reasoning>\nFinal Answer: -4416"
}
] | easy | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 47 = -360"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 11x = -407. Divide by 11: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 6:26 and A = 50, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 6/26, so B = A × (26/6) = 50 × 26/6 = 216.6667.\n</reasoning>\nFinal Answer: 216.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 22 = 244"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 6x = 222. Divide by 6: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -816 ÷ -631"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -816 by -631. -816 ÷ -631 = 1 (integer division).\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [10, 28, 4, 65, 96, 38, 100, 17, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 10, 17, 28, 38, 65, 95, 96, 100]. Middle value(s) → median = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹22087 at 15% per annum for 2 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 22087 × 15 × 2 / 100 = 6626.1.\n</reasoning>\nFinal Answer: 6626.1"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [46, 37, 12, 34, 66]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {46: 1, 37: 1, 12: 1, 34: 1, 66: 1}. Most frequent: [46, 37, 12, 34, 66].\n</reasoning>\nFinal Answer: [46, 37, 12, 34, 66]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 18 ** 2 - 48"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 18²=324, then 22+324-48=298.\n</reasoning>\nFinal Answer: 298"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -359 mod -866"
},
{
"role": "assistant",
"content": "<reasoning>\n-359 mod -866: -359 = -866 × 0 + -359, so remainder = -359.\n</reasoning>\nFinal Answer: -359"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 56 apples and buys 164 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 56 + 164 = 220.\n</reasoning>\nFinal Answer: 220"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [89, 31, 76, 49, 75, 81, 6, 11, 87, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 6 = 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 30) * (4 - 28)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+30)=61, (4-28)=-24, then 61×-24=-1464.\n</reasoning>\nFinal Answer: -1464"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -363 mod -950"
},
{
"role": "assistant",
"content": "<reasoning>\n-363 mod -950: -363 = -950 × 0 + -363, so remainder = -363.\n</reasoning>\nFinal Answer: -363"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 72 mod 826"
},
{
"role": "assistant",
"content": "<reasoning>\n72 mod 826: 72 = 826 × 0 + 72, so remainder = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 33 = 81"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 1x = 48. Divide by 1: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 2/15 * 1/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/15) × (1/17) = (2/255) = 2/255 after simplification.\n</reasoning>\nFinal Answer: 2/255"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 21 and width 65."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(21+65) = 2×86 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 8] and B = [3, 11, 12, 13, 17], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 5, 7, 8, 11, 12, 13, 17].\n</reasoning>\nFinal Answer: [3, 5... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -26 = -728"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -26 from both sides: 18x = -702. Divide by 18: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 31 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(31+81) = 2×112 = 224.\n</reasoning>\nFinal Answer: 224"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 960 km apart. Their speeds are 99 km/h and 109 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 99+109=208 km/h. Time = 960/208 = 4.6154 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + -9 = 315"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 18x = 324. Divide by 18: x = 18.\n</reasoning>\nFinal Answer: 18"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 8/19 - 16/10"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/19 - 16/10. LCD = 95. Result = -112/95.\n</reasoning>\nFinal Answer: -112/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -548 + -961"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -548 and -961: -548 + -961 = -1509.\n</reasoning>\nFinal Answer: -1509"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 24 and height 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 24 × 81 = 1944.\n</reasoning>\nFinal Answer: 1944"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [50, 91, 28, 23, 15, 78, 34, 95, 4, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {50: 1, 91: 1, 28: 1, 23: 1, 15: 1, 78: 1, 34: 1, 95: 1, 4: 1, 55: 1}. Most frequent: [50, 91, 28, 23, 15, 78, 34, 95, 4, 55].\n</reasoni... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 57 and height 89."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 57 × 89 = 5073.\n</reasoning>\nFinal Answer: 5073"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [14, 22, 68, 23, 23]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 68 - 14 = 54.\n</reasoning>\nFinal Answer: 54"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -61 - 643"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 643 from -61: -61 - 643 = -704.\n</reasoning>\nFinal Answer: -704"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [87, 73, 22, 96, 74, 50, 77, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 96 - 12 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 689 + 75"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 689 and 75: 689 + 75 = 764.\n</reasoning>\nFinal Answer: 764"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 181 apples and buys 67 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 181 + 67 = 248.\n</reasoning>\nFinal Answer: 248"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [1, 3, 6, 8, 12, 16] and B = [2, 4, 5, 6], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [1, 3, 8, 12, 16].\n</reasoning>\nFinal Answer: [1, 3, 8, 12, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -23 = 571"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 22x = 594. Divide by 22: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 26 = 98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from both sides: 2x = 72. Divide by 2: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 75 and width 77."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(75+77) = 2×152 = 304.\n</reasoning>\nFinal Answer: 304"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [37, 78, 51, 83, 19, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {37: 1, 78: 1, 51: 1, 83: 1, 19: 1, 70: 1}. Most frequent: [37, 78, 51, 83, 19, 70].\n</reasoning>\nFinal Answer: [37, 78, 51, 83, 19, 70]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 10 days. How many days will 15 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 10 = 190 worker-days. New time = 190 / 15 = 12.6667 days.\n</reasoning>\nFinal Answer: 12.6667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -510 ÷ 740"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -510 by 740. -510 ÷ 740 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 61 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 5%: 61 × (1 + 5/100) = 61 × 1.05 = 64.05.\n</reasoning>\nFinal Answer: 64.05"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [96, 54, 43, 10, 78, 90, 79, 49]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {96: 1, 54: 1, 43: 1, 10: 1, 78: 1, 90: 1, 79: 1, 49: 1}. Most frequent: [96, 54, 43, 10, 78, 90, 79, 49].\n</reasoning>\nFinal Answer: [96, 54,... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 44 = -899"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 23x = -943. Divide by 23: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 50 and width 3."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(50+3) = 2×53 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 470 by 35%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 35%: 470 × (1 + 35/100) = 470 × 1.35 = 634.5.\n</reasoning>\nFinal Answer: 634.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [84, 45, 28, 44, 28, 38]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [28, 28, 38, 44, 45, 84]. Middle value(s) → median = 41.0.\n</reasoning>\nFinal Answer: 41.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 82 and width 63."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(82+63) = 2×145 = 290.\n</reasoning>\nFinal Answer: 290"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the range of: [39, 55, 74, 25, 51, 62, 72, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 74 - 25 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [47, 52, 85, 8, 85, 31]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {47: 1, 52: 1, 85: 2, 8: 1, 31: 1}. Most frequent: 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:21 and A = 28, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/21, so B = A × (21/15) = 28 × 21/15 = 39.2.\n</reasoning>\nFinal Answer: 39.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 10/18 * 18/18"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/18) × (18/18) = (180/324) = 5/9 after simplification.\n</reasoning>\nFinal Answer: 5/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 + 34 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 15+1156-6=1165.\n</reasoning>\nFinal Answer: 1165"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 43 and common difference 19, find the 11th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 43 + (11-1)×19 = 43 + 190 = 233.\n</reasoning>\nFinal Answer: 233"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Increase 803 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 803 × (1 + 20/100) = 803 × 1.2 = 963.6.\n</reasoning>\nFinal Answer: 963.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 16 * 37 + 16 * 45"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 16×37=592 and 16×45=720, then add: 1312.\n</reasoning>\nFinal Answer: 1312"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 909 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 909 × (1 - 45/100) = 909 × 0.55 = 499.95.\n</reasoning>\nFinal Answer: 499.95"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 17x + 36 = 699"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 36 from both sides: 17x = 663. Divide by 17: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 10 and 21."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (10×21)/1 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "A train travels at 50 km/h. How far does it travel in 1 hours and 1 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 1/60 = 1.0167 hours. Distance = speed × time = 50 × 1.0167 = 50.8333 km.\n</reasoning>\nFinal Answer: 50.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹29733 at 20% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 29733 × 20 × 9 / 100 = 53519.4.\n</reasoning>\nFinal Answer: 53519.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 48, 49 and height 45."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (48+49) × 45 = 2182.5.\n</reasoning>\nFinal Answer: 2182.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 403 by 17%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 17%: 403 × (1 - 17/100) = 403 × 0.83 = 334.49.\n</reasoning>\nFinal Answer: 334.49"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 3, 45 and height 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (3+45) × 24 = 576.0.\n</reasoning>\nFinal Answer: 576.0"
}
] | medium | [
"geometry",
"area"
] |
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