messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Simplify: 18/16 * 17/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (18/16) × (17/10) = (306/160) = 153/80 after simplification.\n</reasoning>\nFinal Answer: 153/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [6, 13, 16, 19] and B = [3, 7, 8], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 6, 7, 8, 13, 16, 19].\n</reasoning>\nFinal Answer: [3, 6, 7, 8, ... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 44 ** 2 - 5"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 30+1936-5=1961.\n</reasoning>\nFinal Answer: 1961"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 707 - 914"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 914 from 707: 707 - 914 = -207.\n</reasoning>\nFinal Answer: -207"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 514 ÷ -498"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 514 by -498. 514 ÷ -498 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + 25 = -937"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 25 from both sides: 26x = -962. Divide by 26: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "What is 25% of 398?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 398 = (25/100) × 398 = 99.5.\n</reasoning>\nFinal Answer: 99.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 102 km/h. How far does it travel in 6 hours and 8 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 8/60 = 6.1333 hours. Distance = speed × time = 102 × 6.1333 = 625.6 km.\n</reasoning>\nFinal Answer: 625.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 179 × 974"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 179 by 974: 179 × 974 = 174346.\n</reasoning>\nFinal Answer: 174346"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [4, 8, 16, 18, 19] and B = [1, 3, 6, 11, 14], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 3, 4, 6, 8, 11, 14, 16, 18, 19].\n</reasoning>\nFinal Answer: [1, 3, 4, 6, 8, 11, 14,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 48 and width 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 48 × 38 = 1824.\n</reasoning>\nFinal Answer: 1824"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "What is 25% of 386?"
},
{
"role": "assistant",
"content": "<reasoning>\n25% of 386 = (25/100) × 386 = 96.5.\n</reasoning>\nFinal Answer: 96.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 24 + 37 * 26 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 37×26=962, then 24+962-7=979.\n</reasoning>\nFinal Answer: 979"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 41, 27 and height 6."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (41+27) × 6 = 204.0.\n</reasoning>\nFinal Answer: 204.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (9 + 2) * (33 - 17)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (9+2)=11, (33-17)=16, then 11×16=176.\n</reasoning>\nFinal Answer: 176"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 29 * 22 + 12 * 36"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 29×22=638 and 12×36=432, then add: 1070.\n</reasoning>\nFinal Answer: 1070"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 30 + 4 * 40 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 4×40=160, then 30+160-46=144.\n</reasoning>\nFinal Answer: 144"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 359 mod -534"
},
{
"role": "assistant",
"content": "<reasoning>\n359 mod -534: 359 = -534 × -1 + -175, so remainder = -175.\n</reasoning>\nFinal Answer: -175"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 50 = 314"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 24x = 264. Divide by 24: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 40, 47 and height 46."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (40+47) × 46 = 2001.0.\n</reasoning>\nFinal Answer: 2001.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [65, 87, 39, 80, 24, 76, 53, 18, 15, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 15 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Decrease 164 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 70%: 164 × (1 - 70/100) = 164 × 0.30000000000000004 = 49.2.\n</reasoning>\nFinal Answer: 49.2"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 27x + 48 = -1005"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 48 from both sides: 27x = -1053. Divide by 27: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 18, 20, and 35."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 18 + 20 + 35 = 73.\n</reasoning>\nFinal Answer: 73"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [72, 47, 8, 38, 1, 10, 84, 78, 6, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 6, 8, 10, 38, 47, 72, 78, 84, 87]. Middle value(s) → median = 42.5.\n</reasoning>\nFinal Answer: 42.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 64 and height 82."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 64 × 82 = 5248.\n</reasoning>\nFinal Answer: 5248"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 322 + 223"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 322 and 223: 322 + 223 = 545.\n</reasoning>\nFinal Answer: 545"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 49 and common difference 12, find the 27th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 49 + (27-1)×12 = 49 + 312 = 361.\n</reasoning>\nFinal Answer: 361"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 6/16 * 8/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (6/16) × (8/9) = (48/144) = 1/3 after simplification.\n</reasoning>\nFinal Answer: 1/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -987 × -802"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -987 by -802: -987 × -802 = 791574.\n</reasoning>\nFinal Answer: 791574"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 1 = 344"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 1 from both sides: 7x = 343. Divide by 7: x = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 49 and height 66."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 49 × 66 = 3234.\n</reasoning>\nFinal Answer: 3234"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [44, 45, 46, 47, 48]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 44 and common difference 1. Next term = 48 + 1 = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Calculate: 442 × 268"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 442 by 268: 442 × 268 = 118456.\n</reasoning>\nFinal Answer: 118456"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 26:7 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 26/7, so B = A × (7/26) = 11 × 7/26 = 2.9615.\n</reasoning>\nFinal Answer: 2.9615"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 46 and 19."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (46×19)/1 = 874.\n</reasoning>\nFinal Answer: 874"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Decrease 425 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 425 × (1 - 60/100) = 425 × 0.4 = 170.0.\n</reasoning>\nFinal Answer: 170.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (25 + 33) * (2 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (25+33)=58, (2-26)=-24, then 58×-24=-1392.\n</reasoning>\nFinal Answer: -1392"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "6 workers can complete a job in 22 days. How many days will 18 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 6 × 22 = 132 worker-days. New time = 132 / 18 = 7.3333 days.\n</reasoning>\nFinal Answer: 7.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [48, 43, 38, 48, 19, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 243/6 = 40.5.\n</reasoning>\nFinal Answer: 40.5"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 11 and 40."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (11×40)/1 = 440.\n</reasoning>\nFinal Answer: 440"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 2 and width 44."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(2+44) = 2×46 = 92.\n</reasoning>\nFinal Answer: 92"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Increase 778 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 20%: 778 × (1 + 20/100) = 778 × 1.2 = 933.6.\n</reasoning>\nFinal Answer: 933.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "17 workers can complete a job in 19 days. How many days will 11 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 17 × 19 = 323 worker-days. New time = 323 / 11 = 29.3636 days.\n</reasoning>\nFinal Answer: 29.3636"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [34, 10, 65, 21, 94, 51, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 94 - 10 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 13 = 87"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 2x = 74. Divide by 2: x = 37.\n</reasoning>\nFinal Answer: 37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mean of: [14, 33, 25, 99, 29, 69, 86, 6, 39, 6]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 406/10 = 40.6.\n</reasoning>\nFinal Answer: 40.6"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 967 ÷ -936"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 967 by -936. 967 ÷ -936 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [82, 91, 89, 13, 97, 69]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 13 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 48) * (6 - 39)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+48)=89, (6-39)=-33, then 89×-33=-2937.\n</reasoning>\nFinal Answer: -2937"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/9 - 14/4"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 11/9 - 14/4. LCD = 18. Result = -41/18.\n</reasoning>\nFinal Answer: -41/18"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [45, 73, 36, 78, 81, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [36, 45, 73, 78, 78, 81]. Middle value(s) → median = 75.5.\n</reasoning>\nFinal Answer: 75.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -173 - -814"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -814 from -173: -173 - -814 = 641.\n</reasoning>\nFinal Answer: 641"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "3 workers can complete a job in 28 days. How many days will 17 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 3 × 28 = 84 worker-days. New time = 84 / 17 = 4.9412 days.\n</reasoning>\nFinal Answer: 4.9412"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 473 - 207"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 207 from 473: 473 - 207 = 266.\n</reasoning>\nFinal Answer: 266"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/6 + 7/10"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/6 + 7/10. Common denominator = 30. Result = 121/30.\n</reasoning>\nFinal Answer: 121/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [24, 84, 22, 79, 86, 23, 33, 81, 11, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 22, 23, 24, 33, 39, 79, 81, 84, 86]. Middle value(s) → median = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "306 is what percentage of 698?"
},
{
"role": "assistant",
"content": "<reasoning>\n(306/698) × 100 = 43.8395%.\n</reasoning>\nFinal Answer: 43.8395%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "13 workers can complete a job in 17 days. How many days will 13 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 13 × 17 = 221 worker-days. New time = 221 / 13 = 17.0 days.\n</reasoning>\nFinal Answer: 17.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 39:1 and A = 45, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 39/1, so B = A × (1/39) = 45 × 1/39 = 1.1538.\n</reasoning>\nFinal Answer: 1.1538"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 39 * 37 + 37 * 16"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 39×37=1443 and 37×16=592, then add: 2035.\n</reasoning>\nFinal Answer: 2035"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 4/8 - 2/20"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 4/8 - 2/20. LCD = 10. Result = 2/5.\n</reasoning>\nFinal Answer: 2/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [80, 55, 93, 38, 98, 10, 70, 47, 19]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {80: 1, 55: 1, 93: 1, 38: 1, 98: 1, 10: 1, 70: 1, 47: 1, 19: 1}. Most frequent: [80, 55, 93, 38, 98, 10, 70, 47, 19].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "115 is what percentage of 173?"
},
{
"role": "assistant",
"content": "<reasoning>\n(115/173) × 100 = 66.474%.\n</reasoning>\nFinal Answer: 66.474%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + 6 = 188"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 7x = 182. Divide by 7: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [78, 15, 62, 86, 83, 55, 17, 1, 78]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 86 - 1 = 85.\n</reasoning>\nFinal Answer: 85"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 596 ÷ -171"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 596 by -171. 596 ÷ -171 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 937 km apart. Their speeds are 96 km/h and 115 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 96+115=211 km/h. Time = 937/211 = 4.4408 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [58, 81, 86, 54, 51, 100, 38, 79, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 565/9 = 62.7778.\n</reasoning>\nFinal Answer: 62.7778"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 33 and common difference 2, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 33 + (16-1)×2 = 33 + 30 = 63.\n</reasoning>\nFinal Answer: 63"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the median of: [12, 74, 48, 75, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [12, 43, 48, 74, 75]. Middle value(s) → median = 48.\n</reasoning>\nFinal Answer: 48"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -392 ÷ -719"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -392 by -719. -392 ÷ -719 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 5/4 * 1/14"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (5/4) × (1/14) = (5/56) = 5/56 after simplification.\n</reasoning>\nFinal Answer: 5/56"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 3 = 27"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 6x = 24. Divide by 6: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the mode of: [20, 90, 6, 37, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {20: 1, 90: 1, 6: 1, 37: 1, 18: 1}. Most frequent: [20, 90, 6, 37, 18].\n</reasoning>\nFinal Answer: [20, 90, 6, 37, 18]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the range of: [82, 95, 11, 7, 4, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 4 = 91.\n</reasoning>\nFinal Answer: 91"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 27 + 34 ** 2 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 34²=1156, then 27+1156-6=1177.\n</reasoning>\nFinal Answer: 1177"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -907 mod -503"
},
{
"role": "assistant",
"content": "<reasoning>\n-907 mod -503: -907 = -503 × 1 + -404, so remainder = -404.\n</reasoning>\nFinal Answer: -404"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 46:35 and A = 15, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 46/35, so B = A × (35/46) = 15 × 35/46 = 11.413.\n</reasoning>\nFinal Answer: 11.413"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:17 and A = 68, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/17, so B = A × (17/23) = 68 × 17/23 = 50.2609.\n</reasoning>\nFinal Answer: 50.2609"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 185 + 822"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 185 and 822: 185 + 822 = 1007.\n</reasoning>\nFinal Answer: 1007"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 8/10 + 3/9"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 8/10 + 3/9. Common denominator = 15. Result = 17/15.\n</reasoning>\nFinal Answer: 17/15"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 6 * 32 + 12 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 6×32=192 and 12×27=324, then add: 516.\n</reasoning>\nFinal Answer: 516"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Ravi has 144 apples and buys 64 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 144 + 64 = 208.\n</reasoning>\nFinal Answer: 208"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [94, 100, 51, 83, 73, 33, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {94: 1, 100: 1, 51: 1, 83: 1, 73: 1, 33: 1, 91: 1}. Most frequent: [94, 100, 51, 83, 73, 33, 91].\n</reasoning>\nFinal Answer: [94, 100, 51, 83, 73... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹24689 at 13% per annum for 10 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 24689 × 13 × 10 / 100 = 32095.7.\n</reasoning>\nFinal Answer: 32095.7"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + 28 = -452"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 16x = -480. Divide by 16: x = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 40 and common difference 17, find the 33th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 40 + (33-1)×17 = 40 + 544 = 584.\n</reasoning>\nFinal Answer: 584"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A bag has 5 red and 1 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 5/6 = 0.8333.\n</reasoning>\nFinal Answer: 0.8333"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 612 km apart. Their speeds are 103 km/h and 99 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 103+99=202 km/h. Time = 612/202 = 3.0297 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "18 is what percentage of 20?"
},
{
"role": "assistant",
"content": "<reasoning>\n(18/20) × 100 = 90.0%.\n</reasoning>\nFinal Answer: 90.0%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 15:10 and A = 78, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 15/10, so B = A × (10/15) = 78 × 10/15 = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -47 = 751"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 19x = 798. Divide by 19: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 55 and height 4."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 55 × 4 = 220.\n</reasoning>\nFinal Answer: 220"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + 45 = 387"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 45 from both sides: 9x = 342. Divide by 9: x = 38.\n</reasoning>\nFinal Answer: 38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [64, 36, 81, 26, 63, 47, 74, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 81 - 26 = 55.\n</reasoning>\nFinal Answer: 55"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹39439 at 4% per annum for 4 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 39439 × 4 × 4 / 100 = 6310.24.\n</reasoning>\nFinal Answer: 6310.24"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [69, 13, 30, 69, 53, 51, 44, 92]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [13, 30, 44, 51, 53, 69, 69, 92]. Middle value(s) → median = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Simplify: 2/19 + 7/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/19 + 7/2. Common denominator = 38. Result = 137/38.\n</reasoning>\nFinal Answer: 137/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 789 + 999"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 789 and 999: 789 + 999 = 1788.\n</reasoning>\nFinal Answer: 1788"
}
] | medium | [
"arithmetic",
"computation"
] |
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