messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Calculate: -601 + 899"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -601 and 899: -601 + 899 = 298.\n</reasoning>\nFinal Answer: 298"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:47 and A = 37, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/47, so B = A × (47/7) = 37 × 47/7 = 248.4286.\n</reasoning>\nFinal Answer: 248.4286"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [28, 39, 24, 48, 54, 83, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 24, 28, 39, 48, 54, 83]. Middle value(s) → median = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the mean of: [69, 32, 1, 65, 21, 58, 76, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 401/8 = 50.125.\n</reasoning>\nFinal Answer: 50.125"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Increase 434 by 80%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 80%: 434 × (1 + 80/100) = 434 × 1.8 = 781.2.\n</reasoning>\nFinal Answer: 781.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:24 and A = 31, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/24, so B = A × (24/10) = 31 × 24/10 = 74.4.\n</reasoning>\nFinal Answer: 74.4"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 12/12 * 1/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/12) × (1/11) = (12/132) = 1/11 after simplification.\n</reasoning>\nFinal Answer: 1/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (31 + 42) * (12 - 2)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (31+42)=73, (12-2)=10, then 73×10=730.\n</reasoning>\nFinal Answer: 730"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 20x + 45 = -775"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 20x = -820. Divide by 20: x = -41.\n</reasoning>\nFinal Answer: -41"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [34, 36, 87, 67, 59, 63, 36]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [34, 36, 36, 59, 63, 67, 87]. Middle value(s) → median = 59.\n</reasoning>\nFinal Answer: 59"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Decrease 284 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 90%: 284 × (1 - 90/100) = 284 × 0.09999999999999998 = 28.4.\n</reasoning>\nFinal Answer: 28.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A bag has 2 red and 8 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 2/10 = 0.2.\n</reasoning>\nFinal Answer: 0.2"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Given A = [2, 6, 17] and B = [2, 3, 4, 9, 10, 12, 15, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 4, 6, 9, 10, 12, 15, 17, 18].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + -43 = -88"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 5x = -45. Divide by 5: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 22:10 and A = 84, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 22/10, so B = A × (10/22) = 84 × 10/22 = 38.1818.\n</reasoning>\nFinal Answer: 38.1818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 952 × 510"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 952 by 510: 952 × 510 = 485520.\n</reasoning>\nFinal Answer: 485520"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 36 ** 2 - 47"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 36²=1296, then 3+1296-47=1252.\n</reasoning>\nFinal Answer: 1252"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + -4 = -326"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 14x = -322. Divide by 14: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 10:35 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 10/35, so B = A × (35/10) = 9 × 35/10 = 31.5.\n</reasoning>\nFinal Answer: 31.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the range of: [89, 94, 94, 65, 93, 82, 48, 19, 52]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 19 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Ravi has 174 apples and buys 154 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 174 + 154 = 328.\n</reasoning>\nFinal Answer: 328"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve: 3x² + (57)x + (270) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 57² - 4×3×270 = 9. √discriminant = 3. x = (-(57) ± 3) / (2×3). Solutions: x = -9 or x = -10.\n</reasoning>\nFinal Answer: x = -9 or x = -10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 19/19 + 9/5"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/19 + 9/5. Common denominator = 5. Result = 14/5.\n</reasoning>\nFinal Answer: 14/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/12 / 7/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/12) ÷ (7/19) = (20/12) × (19/7) = 95/21.\n</reasoning>\nFinal Answer: 95/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 14/8 * 19/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/8) × (19/3) = (266/24) = 133/12 after simplification.\n</reasoning>\nFinal Answer: 133/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 42 = 74"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 16x = 32. Divide by 16: x = 2.\n</reasoning>\nFinal Answer: 2"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [99, 73, 74, 69, 73, 77, 36, 46, 13]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 560/9 = 62.2222.\n</reasoning>\nFinal Answer: 62.2222"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -910 + -726"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -910 and -726: -910 + -726 = -1636.\n</reasoning>\nFinal Answer: -1636"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 3/13 * 10/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (3/13) × (10/17) = (30/221) = 30/221 after simplification.\n</reasoning>\nFinal Answer: 30/221"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (44 + 36) * (4 - 49)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (44+36)=80, (4-49)=-45, then 80×-45=-3600.\n</reasoning>\nFinal Answer: -3600"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -20 ÷ -375"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -20 by -375. -20 ÷ -375 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 4x² + (-24)x + (-160) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -24² - 4×4×-160 = 3136. √discriminant = 56. x = (-(-24) ± 56) / (2×4). Solutions: x = -4 or x = 10.\n</reasoning>\nFinal Answer: x = -4 or x ... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 21 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 21 × 23 = 483.\n</reasoning>\nFinal Answer: 483"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 106 apples and buys 156 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 106 + 156 = 262.\n</reasoning>\nFinal Answer: 262"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/15 / 20/16"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (13/15) ÷ (20/16) = (13/15) × (16/20) = 52/75.\n</reasoning>\nFinal Answer: 52/75"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -524 ÷ -622"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -524 by -622. -524 ÷ -622 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -29 = -41"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 4x = -12. Divide by 4: x = -3.\n</reasoning>\nFinal Answer: -3"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + -12 = -196"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -12 from both sides: 4x = -184. Divide by 4: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 40 ** 2 - 42"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 40²=1600, then 47+1600-42=1605.\n</reasoning>\nFinal Answer: 1605"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:3 and A = 22, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/3, so B = A × (3/19) = 22 × 3/19 = 3.4737.\n</reasoning>\nFinal Answer: 3.4737"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 575 mod 707"
},
{
"role": "assistant",
"content": "<reasoning>\n575 mod 707: 575 = 707 × 0 + 575, so remainder = 575.\n</reasoning>\nFinal Answer: 575"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 + 44 ** 2 - 32"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 6+1936-32=1910.\n</reasoning>\nFinal Answer: 1910"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [91, 15, 20, 45, 29, 39, 81, 88, 60, 3]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 15, 20, 29, 39, 45, 60, 81, 88, 91]. Middle value(s) → median = 42.0.\n</reasoning>\nFinal Answer: 42.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 846 mod 608"
},
{
"role": "assistant",
"content": "<reasoning>\n846 mod 608: 846 = 608 × 1 + 238, so remainder = 238.\n</reasoning>\nFinal Answer: 238"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:19 and A = 55, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/19, so B = A × (19/20) = 55 × 19/20 = 52.25.\n</reasoning>\nFinal Answer: 52.25"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 73 and height 22."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 73 × 22 = 1606.\n</reasoning>\nFinal Answer: 1606"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 30:49 and A = 49, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 30/49, so B = A × (49/30) = 49 × 49/30 = 80.0333.\n</reasoning>\nFinal Answer: 80.0333"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 676 km apart. Their speeds are 60 km/h and 100 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 60+100=160 km/h. Time = 676/160 = 4.225 hours.\n</reasoning>\nFinal Answe... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -24 = -50"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -24 from both sides: 26x = -26. Divide by 26: x = -1.\n</reasoning>\nFinal Answer: -1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 42 and width 17."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(42+17) = 2×59 = 118.\n</reasoning>\nFinal Answer: 118"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "An item costs ₹1234. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1234 × 12/100 = 148.08. Total = 1234 + 148.08 = 1382.08.\n</reasoning>\nFinal Answer: 1382.08"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 54 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 54 × 16 = 432.0.\n</reasoning>\nFinal Answer: 432.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 14/12 / 8/1"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (14/12) ÷ (8/1) = (14/12) × (1/8) = 7/48.\n</reasoning>\nFinal Answer: 7/48"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 150 km/h. How far does it travel in 12 hours and 58 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 58/60 = 12.9667 hours. Distance = speed × time = 150 × 12.9667 = 1945.0 km.\n</reasoning>\nFinal Answer: 1945.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 574 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 574 × (1 + 60/100) = 574 × 1.6 = 918.4.\n</reasoning>\nFinal Answer: 918.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -321 - 375"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 375 from -321: -321 - 375 = -696.\n</reasoning>\nFinal Answer: -696"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 24 and height 15."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 24 × 15 = 180.0.\n</reasoning>\nFinal Answer: 180.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 44:30 and A = 67, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 44/30, so B = A × (30/44) = 67 × 30/44 = 45.6818.\n</reasoning>\nFinal Answer: 45.6818"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 25 and width 81."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 25 × 81 = 2025.\n</reasoning>\nFinal Answer: 2025"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 93 and width 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 93 × 17 = 1581.\n</reasoning>\nFinal Answer: 1581"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [76, 97, 22, 16, 82, 56, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {76: 1, 97: 1, 22: 1, 16: 1, 82: 1, 56: 1, 55: 1}. Most frequent: [76, 97, 22, 16, 82, 56, 55].\n</reasoning>\nFinal Answer: [76, 97, 22, 16, 82, 56... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 24 and height 90."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 24 × 90 = 2160.\n</reasoning>\nFinal Answer: 2160"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -151 mod 829"
},
{
"role": "assistant",
"content": "<reasoning>\n-151 mod 829: -151 = 829 × -1 + 678, so remainder = 678.\n</reasoning>\nFinal Answer: 678"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1084. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1084 × 5/100 = 54.2. Total = 1084 + 54.2 = 1138.2.\n</reasoning>\nFinal Answer: 1138.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 9/10 - 5/1"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 9/10 - 5/1. LCD = 10. Result = -41/10.\n</reasoning>\nFinal Answer: -41/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 19/15 + 10/20"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 19/15 + 10/20. Common denominator = 30. Result = 53/30.\n</reasoning>\nFinal Answer: 53/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 46 * 19 - 9"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 46×19=874, then 41+874-9=906.\n</reasoning>\nFinal Answer: 906"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 18 and 23."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (18×23)/1 = 414.\n</reasoning>\nFinal Answer: 414"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + 16 = 244"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 19x = 228. Divide by 19: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -801 mod -60"
},
{
"role": "assistant",
"content": "<reasoning>\n-801 mod -60: -801 = -60 × 13 + -21, so remainder = -21.\n</reasoning>\nFinal Answer: -21"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 1, find the 15th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (15-1)×1 = 33 + 14 = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 53 and width 32."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 53 × 32 = 1696.\n</reasoning>\nFinal Answer: 1696"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 * 4 + 20 * 33"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 18×4=72 and 20×33=660, then add: 732.\n</reasoning>\nFinal Answer: 732"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 20 = 370"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 14x = 350. Divide by 14: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 13 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 13 × 42 = 273.0.\n</reasoning>\nFinal Answer: 273.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 737 - -644"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -644 from 737: 737 - -644 = 1381.\n</reasoning>\nFinal Answer: 1381"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 4 = 58"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 6x = 54. Divide by 6: x = 9.\n</reasoning>\nFinal Answer: 9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/13 - 18/7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/13 - 18/7. LCD = 91. Result = -108/91.\n</reasoning>\nFinal Answer: -108/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 738 km apart. Their speeds are 79 km/h and 109 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 79+109=188 km/h. Time = 738/188 = 3.9255 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:42 and A = 18, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/42, so B = A × (42/32) = 18 × 42/32 = 23.625.\n</reasoning>\nFinal Answer: 23.625"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -6 = 720"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -6 from both sides: 22x = 726. Divide by 22: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 35 and 126."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(35,126) = 7.\n</reasoning>\nFinal Answer: 7"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [59, 100, 8, 11, 12, 22, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [8, 11, 12, 22, 59, 93, 100]. Middle value(s) → median = 22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 44 = 343"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 44 from both sides: 23x = 299. Divide by 23: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 18/5 - 8/16"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/5 - 8/16. LCD = 10. Result = 31/10.\n</reasoning>\nFinal Answer: 31/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 42 and 153."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(42,153) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 21, 29, and 38."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 21 + 29 + 38 = 88.\n</reasoning>\nFinal Answer: 88"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate: -202 mod 27"
},
{
"role": "assistant",
"content": "<reasoning>\n-202 mod 27: -202 = 27 × -8 + 14, so remainder = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 244 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 45%: 244 × (1 + 45/100) = 244 × 1.45 = 353.8.\n</reasoning>\nFinal Answer: 353.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹16365 at 6% per annum for 3 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 16365 × 6 × 3 / 100 = 2945.7.\n</reasoning>\nFinal Answer: 2945.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 193 by 40%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 40%: 193 × (1 - 40/100) = 193 × 0.6 = 115.8.\n</reasoning>\nFinal Answer: 115.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 87 and width 24."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 87 × 24 = 2088.\n</reasoning>\nFinal Answer: 2088"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Ravi has 125 apples and buys 150 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 125 + 150 = 275.\n</reasoning>\nFinal Answer: 275"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -395 × -37"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -395 by -37: -395 × -37 = 14615.\n</reasoning>\nFinal Answer: 14615"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 5x + 34 = 214"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 5x = 180. Divide by 5: x = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -139 mod 254"
},
{
"role": "assistant",
"content": "<reasoning>\n-139 mod 254: -139 = 254 × -1 + 115, so remainder = 115.\n</reasoning>\nFinal Answer: 115"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 564 - 500"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 500 from 564: 564 - 500 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -946 + 701"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -946 and 701: -946 + 701 = -245.\n</reasoning>\nFinal Answer: -245"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹2917. If sales tax is 12%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 2917 × 12/100 = 350.04. Total = 2917 + 350.04 = 3267.04.\n</reasoning>\nFinal Answer: 3267.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 4/18 / 15/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (4/18) ÷ (15/19) = (4/18) × (19/15) = 38/135.\n</reasoning>\nFinal Answer: 38/135"
}
] | medium | [
"fractions",
"arithmetic"
] |
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