messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "An item costs ₹4045. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4045 × 28/100 = 1132.6. Total = 4045 + 1132.6 = 5177.6.\n</reasoning>\nFinal Answer: 5177.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹9552 at 11% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 9552 × 11 × 1 / 100 = 1050.72.\n</reasoning>\nFinal Answer: 1050.72"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 84 and 157."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(84,157) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 78 and width 73."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(78+73) = 2×151 = 302.\n</reasoning>\nFinal Answer: 302"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (27)x + (-30) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 27² - 4×3×-30 = 1089. √discriminant = 33. x = (-(27) ± 33) / (2×3). Solutions: x = 1 or x = -10.\n</reasoning>\nFinal Answer: x = 1 or x = -10"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "A train travels at 159 km/h. How far does it travel in 5 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 5 + 55/60 = 5.9167 hours. Distance = speed × time = 159 × 5.9167 = 940.75 km.\n</reasoning>\nFinal Answer: 940.75"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 12 = 76"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 8x = 64. Divide by 8: x = 8.\n</reasoning>\nFinal Answer: 8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "471 is what percentage of 980?"
},
{
"role": "assistant",
"content": "<reasoning>\n(471/980) × 100 = 48.0612%.\n</reasoning>\nFinal Answer: 48.0612%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Simplify: 3/7 - 13/9"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 3/7 - 13/9. LCD = 63. Result = -64/63.\n</reasoning>\nFinal Answer: -64/63"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 902 × -768"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 902 by -768: 902 × -768 = -692736.\n</reasoning>\nFinal Answer: -692736"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -618 + -504"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -618 and -504: -618 + -504 = -1122.\n</reasoning>\nFinal Answer: -1122"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + -5 = -167"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 27x = -162. Divide by 27: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 157 - 130"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 130 from 157: 157 - 130 = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:37 and A = 36, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/37, so B = A × (37/31) = 36 × 37/31 = 42.9677.\n</reasoning>\nFinal Answer: 42.9677"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the mode of: [33, 22, 19, 17, 97, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {33: 1, 22: 1, 19: 1, 17: 1, 97: 1, 84: 1}. Most frequent: [33, 22, 19, 17, 97, 84].\n</reasoning>\nFinal Answer: [33, 22, 19, 17, 97, 84]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹1956. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1956 × 28/100 = 547.68. Total = 1956 + 547.68 = 2503.68.\n</reasoning>\nFinal Answer: 2503.68"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 770 mod -47"
},
{
"role": "assistant",
"content": "<reasoning>\n770 mod -47: 770 = -47 × -17 + -29, so remainder = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -90 ÷ 246"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -90 by 246. -90 ÷ 246 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -81 ÷ -629"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -81 by -629. -81 ÷ -629 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 573 - 385"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 385 from 573: 573 - 385 = 188.\n</reasoning>\nFinal Answer: 188"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 2 = 1130"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 24x = 1128. Divide by 24: x = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -938 × -105"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -938 by -105: -938 × -105 = 98490.\n</reasoning>\nFinal Answer: 98490"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 59 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 59 × 59 = 3481.\n</reasoning>\nFinal Answer: 3481"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 11, 16, 17, 19] and B = [2, 3, 11], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [5, 16, 17, 19].\n</reasoning>\nFinal Answer: [5, 16, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 252 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 75%: 252 × (1 + 75/100) = 252 × 1.75 = 441.0.\n</reasoning>\nFinal Answer: 441.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/18 - 20/14"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/18 - 20/14. LCD = 7. Result = -3/7.\n</reasoning>\nFinal Answer: -3/7"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:49 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/49, so B = A × (49/15) = 67 × 49/15 = 218.8667.\n</reasoning>\nFinal Answer: 218.8667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 987 km apart. Their speeds are 70 km/h and 85 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 70+85=155 km/h. Time = 987/155 = 6.3677 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹42080 at 3% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 42080 × 3 × 1 / 100 = 1262.4.\n</reasoning>\nFinal Answer: 1262.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + -29 = -957"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 29x = -928. Divide by 29: x = -32.\n</reasoning>\nFinal Answer: -32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 817 mod -72"
},
{
"role": "assistant",
"content": "<reasoning>\n817 mod -72: 817 = -72 × -12 + -47, so remainder = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/2 - 14/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 8/2 - 14/8. LCD = 4. Result = 9/4.\n</reasoning>\nFinal Answer: 9/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (0)x + (-8) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 0² - 4×2×-8 = 64. √discriminant = 8. x = (-(0) ± 8) / (2×2). Solutions: x = 2 or x = -2.\n</reasoning>\nFinal Answer: x = 2 or x = -2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -228 - 527"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 527 from -228: -228 - 527 = -755.\n</reasoning>\nFinal Answer: -755"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 * 15/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (17/7) × (15/8) = (255/56) = 255/56 after simplification.\n</reasoning>\nFinal Answer: 255/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 * 44 + 9 * 48"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 10×44=440 and 9×48=432, then add: 872.\n</reasoning>\nFinal Answer: 872"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [13, 20, 64, 72, 59, 42, 95, 79, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 528/9 = 58.6667.\n</reasoning>\nFinal Answer: 58.6667"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "A train travels at 146 km/h. How far does it travel in 10 hours and 35 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 35/60 = 10.5833 hours. Distance = speed × time = 146 × 10.5833 = 1545.1667 km.\n</reasoning>\nFinal Answer: 1545.1667"
}... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 25 days. How many days will 20 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 25 = 250 worker-days. New time = 250 / 20 = 12.5 days.\n</reasoning>\nFinal Answer: 12.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 28 + 35 * 21 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 35×21=735, then 28+735-47=716.\n</reasoning>\nFinal Answer: 716"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 89 and 15."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(89,15) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 34 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+34) × 48 = 1344.0.\n</reasoning>\nFinal Answer: 1344.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 60% of 539?"
},
{
"role": "assistant",
"content": "<reasoning>\n60% of 539 = (60/100) × 539 = 323.4.\n</reasoning>\nFinal Answer: 323.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "850 is what percentage of 903?"
},
{
"role": "assistant",
"content": "<reasoning>\n(850/903) × 100 = 94.1307%.\n</reasoning>\nFinal Answer: 94.1307%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 2, find the 22th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (22-1)×2 = 40 + 42 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 175 + 198"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 175 and 198: 175 + 198 = 373.\n</reasoning>\nFinal Answer: 373"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 45% of 707?"
},
{
"role": "assistant",
"content": "<reasoning>\n45% of 707 = (45/100) × 707 = 318.15.\n</reasoning>\nFinal Answer: 318.15"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + -5 = 955"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -5 from both sides: 20x = 960. Divide by 20: x = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -122 + -921"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -122 and -921: -122 + -921 = -1043.\n</reasoning>\nFinal Answer: -1043"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹5171 at 13% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 5171 × 13 × 5 / 100 = 3361.15.\n</reasoning>\nFinal Answer: 3361.15"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -12 = -186"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 6x = -174. Divide by 6: x = -29.\n</reasoning>\nFinal Answer: -29"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "275 is what percentage of 314?"
},
{
"role": "assistant",
"content": "<reasoning>\n(275/314) × 100 = 87.5796%.\n</reasoning>\nFinal Answer: 87.5796%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -456 + 562"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -456 and 562: -456 + 562 = 106.\n</reasoning>\nFinal Answer: 106"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -47 = 732"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 19x = 779. Divide by 19: x = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -23 = -479"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -23 from both sides: 12x = -456. Divide by 12: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 26, 47 and height 37."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (26+47) × 37 = 1350.5.\n</reasoning>\nFinal Answer: 1350.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 5 and height 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+5) × 32 = 576.0.\n</reasoning>\nFinal Answer: 576.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 16 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+16) × 42 = 987.0.\n</reasoning>\nFinal Answer: 987.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 854 - -40"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -40 from 854: 854 - -40 = 894.\n</reasoning>\nFinal Answer: 894"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 2 and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (2×39)/1 = 78.\n</reasoning>\nFinal Answer: 78"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 10 + 23 * 40 - 14"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 23×40=920, then 10+920-14=916.\n</reasoning>\nFinal Answer: 916"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 844 ÷ 955"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 844 by 955. 844 ÷ 955 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 80% of 210?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 210 = (80/100) × 210 = 168.0.\n</reasoning>\nFinal Answer: 168.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [2, 11, 72, 71, 76, 29, 24]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {2: 1, 11: 1, 72: 1, 71: 1, 76: 1, 29: 1, 24: 1}. Most frequent: [2, 11, 72, 71, 76, 29, 24].\n</reasoning>\nFinal Answer: [2, 11, 72, 71, 76, 29, 24... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [60, 56, 18, 30, 17, 27, 83, 2, 32]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 83 - 2 = 81.\n</reasoning>\nFinal Answer: 81"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: -929 + -963"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -929 and -963: -929 + -963 = -1892.\n</reasoning>\nFinal Answer: -1892"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 43 and height 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 43 × 36 = 774.0.\n</reasoning>\nFinal Answer: 774.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹19967 at 3% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 19967 × 3 × 5 / 100 = 2995.05.\n</reasoning>\nFinal Answer: 2995.05"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 495 - 228"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 228 from 495: 495 - 228 = 267.\n</reasoning>\nFinal Answer: 267"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 412 + 91"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 412 and 91: 412 + 91 = 503.\n</reasoning>\nFinal Answer: 503"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/17 * 12/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/17) × (12/6) = (108/102) = 18/17 after simplification.\n</reasoning>\nFinal Answer: 18/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 18/11 * 7/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/11) × (7/6) = (126/66) = 21/11 after simplification.\n</reasoning>\nFinal Answer: 21/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:15 and A = 88, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/15, so B = A × (15/41) = 88 × 15/41 = 32.1951.\n</reasoning>\nFinal Answer: 32.1951"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 6, 7, 10] and B = [7, 8, 11, 13, 14, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 2, 6, 7, 8, 10, 11, 13, 14, 19].\n</reasoning>\nFinal Answer: [1, 2, 6, 7, 8, 10, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "A train travels at 69 km/h. How far does it travel in 10 hours and 30 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 10 + 30/60 = 10.5000 hours. Distance = speed × time = 69 × 10.5000 = 724.5 km.\n</reasoning>\nFinal Answer: 724.5"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 19/5 * 2/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (19/5) × (2/5) = (38/25) = 38/25 after simplification.\n</reasoning>\nFinal Answer: 38/25"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "7 workers can complete a job in 29 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 7 × 29 = 203 worker-days. New time = 203 / 17 = 11.9412 days.\n</reasoning>\nFinal Answer: 11.9412"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [86, 59, 2, 80, 9, 70, 37, 75]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 2 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 90, 5, 32, 46, 73, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 1, 90: 1, 5: 1, 32: 1, 46: 1, 73: 1, 6: 1}. Most frequent: [18, 90, 5, 32, 46, 73, 6].\n</reasoning>\nFinal Answer: [18, 90, 5, 32, 46, 73, 6]"
... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "An item costs ₹3111. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 3111 × 5/100 = 155.55. Total = 3111 + 155.55 = 3266.55.\n</reasoning>\nFinal Answer: 3266.55"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [78, 6, 100, 48, 83, 19, 36, 29, 83, 27]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {78: 1, 6: 1, 100: 1, 48: 1, 83: 2, 19: 1, 36: 1, 29: 1, 27: 1}. Most frequent: 83.\n</reasoning>\nFinal Answer: 83"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 41:8 and A = 62, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 41/8, so B = A × (8/41) = 62 × 8/41 = 12.0976.\n</reasoning>\nFinal Answer: 12.0976"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -442 ÷ -687"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -442 by -687. -442 ÷ -687 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 10 = -134"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 10 from both sides: 24x = -144. Divide by 24: x = -6.\n</reasoning>\nFinal Answer: -6"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 241 - 747"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 747 from 241: 241 - 747 = -506.\n</reasoning>\nFinal Answer: -506"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (-5)x + (-60) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -5² - 4×5×-60 = 1225. √discriminant = 35. x = (-(-5) ± 35) / (2×5). Solutions: x = 4 or x = -3.\n</reasoning>\nFinal Answer: x = 4 or x = -3"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 + 48 ** 2 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 48²=2304, then 40+2304-9=2335.\n</reasoning>\nFinal Answer: 2335"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 246 km apart. Their speeds are 75 km/h and 120 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 75+120=195 km/h. Time = 246/195 = 1.2615 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 10 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 10²=100, then 12+100-7=105.\n</reasoning>\nFinal Answer: 105"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [8, 11, 15] and B = [2, 4, 8, 13], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 4, 11, 13, 15].\n</reasoning>\nFinal Answer: [2, 4, 11, 13, 15]"... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:43 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/43, so B = A × (43/46) = 70 × 43/46 = 65.4348.\n</reasoning>\nFinal Answer: 65.4348"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:14 and A = 72, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/14, so B = A × (14/31) = 72 × 14/31 = 32.5161.\n</reasoning>\nFinal Answer: 32.5161"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "What is 7% of 557?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 557 = (7/100) × 557 = 38.99.\n</reasoning>\nFinal Answer: 38.99"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -458 + 121"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -458 and 121: -458 + 121 = -337.\n</reasoning>\nFinal Answer: -337"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 16 = -348"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 28x = -364. Divide by 28: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 3 * 3 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×3=9, then 24+9-26=7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 12 + 3 * 6 - 45"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 3×6=18, then 12+18-45=-15.\n</reasoning>\nFinal Answer: -15"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the mean of: [21, 36, 61, 80, 45, 28, 53, 40, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 443/9 = 49.2222.\n</reasoning>\nFinal Answer: 49.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "17 is what percentage of 80?"
},
{
"role": "assistant",
"content": "<reasoning>\n(17/80) × 100 = 21.25%.\n</reasoning>\nFinal Answer: 21.25%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "A train travels at 158 km/h. How far does it travel in 4 hours and 11 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 11/60 = 4.1833 hours. Distance = speed × time = 158 × 4.1833 = 660.9667 km.\n</reasoning>\nFinal Answer: 660.9667"
}
] | medium | [
"word_problem",
"applied_math"
] |
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