messages listlengths 2 2 | difficulty stringclasses 3 values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the mean of: [44, 76, 2, 2, 98, 38, 45, 44]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 349/8 = 43.625.\n</reasoning>\nFinal Answer: 43.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 20 = -35"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 20 from both sides: 11x = -55. Divide by 11: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 149 mod 619"
},
{
"role": "assistant",
"content": "<reasoning>\n149 mod 619: 149 = 619 × 0 + 149, so remainder = 149.\n</reasoning>\nFinal Answer: 149"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 731 mod -738"
},
{
"role": "assistant",
"content": "<reasoning>\n731 mod -738: 731 = -738 × -1 + -7, so remainder = -7.\n</reasoning>\nFinal Answer: -7"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (50 + 16) * (9 - 21)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (50+16)=66, (9-21)=-12, then 66×-12=-792.\n</reasoning>\nFinal Answer: -792"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 10/8 / 15/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (10/8) ÷ (15/4) = (10/8) × (4/15) = 1/3.\n</reasoning>\nFinal Answer: 1/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 6/12 / 19/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (6/12) ÷ (19/3) = (6/12) × (3/19) = 3/38.\n</reasoning>\nFinal Answer: 3/38"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 70 km/h. How far does it travel in 12 hours and 43 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 43/60 = 12.7167 hours. Distance = speed × time = 70 × 12.7167 = 890.1667 km.\n</reasoning>\nFinal Answer: 890.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -908 ÷ -984"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -908 by -984. -908 ÷ -984 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 717 × 570"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 717 by 570: 717 × 570 = 408690.\n</reasoning>\nFinal Answer: 408690"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 17 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(17+33) = 2×50 = 100.\n</reasoning>\nFinal Answer: 100"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the mode of: [48, 12, 21, 32, 88, 63, 22, 70, 73, 55]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {48: 1, 12: 1, 21: 1, 32: 1, 88: 1, 63: 1, 22: 1, 70: 1, 73: 1, 55: 1}. Most frequent: [48, 12, 21, 32, 88, 63, 22, 70, 73, 55].\n</reas... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:47 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/47, so B = A × (47/21) = 32 × 47/21 = 71.619.\n</reasoning>\nFinal Answer: 71.619"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 864 km apart. Their speeds are 61 km/h and 51 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 61+51=112 km/h. Time = 864/112 = 7.7143 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [87, 31, 9, 45, 5, 24, 41, 8, 70, 21]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 5 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Increase 946 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 946 × (1 + 50/100) = 946 × 1.5 = 1419.0.\n</reasoning>\nFinal Answer: 1419.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 29x + 28 = 57"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 28 from both sides: 29x = 29. Divide by 29: x = 1.\n</reasoning>\nFinal Answer: 1"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/16 * 20/19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/16) × (20/19) = (20/304) = 5/76 after simplification.\n</reasoning>\nFinal Answer: 5/76"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the range of: [73, 53, 45, 91, 12]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 12 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 1 + 39 * 35 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 39×35=1365, then 1+1365-18=1348.\n</reasoning>\nFinal Answer: 1348"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [79, 56, 65, 32, 95]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [32, 56, 65, 79, 95]. Middle value(s) → median = 65.\n</reasoning>\nFinal Answer: 65"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [32, 40, 48, 56, 64]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 32 and common difference 8. Next term = 64 + 8 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Ravi has 197 apples and buys 12 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 197 + 12 = 209.\n</reasoning>\nFinal Answer: 209"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 17/7 / 13/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/7) ÷ (13/15) = (17/7) × (15/13) = 255/91.\n</reasoning>\nFinal Answer: 255/91"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (8 + 23) * (26 - 4)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (8+23)=31, (26-4)=22, then 31×22=682.\n</reasoning>\nFinal Answer: 682"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 * 17 + 7 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 34×17=578 and 7×4=28, then add: 606.\n</reasoning>\nFinal Answer: 606"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:27 and A = 12, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/27, so B = A × (27/9) = 12 × 27/9 = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Increase 632 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 632 × (1 + 90/100) = 632 × 1.9 = 1200.8.\n</reasoning>\nFinal Answer: 1200.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 70 and width 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 70 × 18 = 1260.\n</reasoning>\nFinal Answer: 1260"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -447 ÷ 295"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -447 by 295. -447 ÷ 295 = -2 (integer division).\n</reasoning>\nFinal Answer: -2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -15 = -429"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 9x = -414. Divide by 9: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -544 + -4"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -544 and -4: -544 + -4 = -548.\n</reasoning>\nFinal Answer: -548"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -863 ÷ -289"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -863 by -289. -863 ÷ -289 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/4 / 18/17"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/4) ÷ (18/17) = (15/4) × (17/18) = 85/24.\n</reasoning>\nFinal Answer: 85/24"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 735 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 735 × (1 - 5/100) = 735 × 0.95 = 698.25.\n</reasoning>\nFinal Answer: 698.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -699 - -912"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -912 from -699: -699 - -912 = 213.\n</reasoning>\nFinal Answer: 213"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 6, 15, and 16."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 6 + 15 + 16 = 37.\n</reasoning>\nFinal Answer: 37"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 1/15 * 15/3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/15) × (15/3) = (15/45) = 1/3 after simplification.\n</reasoning>\nFinal Answer: 1/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 152 apples and buys 31 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 152 + 31 = 183.\n</reasoning>\nFinal Answer: 183"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 19 + 44 ** 2 - 46"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 19+1936-46=1909.\n</reasoning>\nFinal Answer: 1909"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 32:31 and A = 16, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 32/31, so B = A × (31/32) = 16 × 31/32 = 15.5.\n</reasoning>\nFinal Answer: 15.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 145 km/h. How far does it travel in 1 hours and 32 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 32/60 = 1.5333 hours. Distance = speed × time = 145 × 1.5333 = 222.3333 km.\n</reasoning>\nFinal Answer: 222.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 21:29 and A = 60, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 21/29, so B = A × (29/21) = 60 × 29/21 = 82.8571.\n</reasoning>\nFinal Answer: 82.8571"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 12/7 * 14/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (12/7) × (14/9) = (168/63) = 8/3 after simplification.\n</reasoning>\nFinal Answer: 8/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹6347 at 14% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 6347 × 14 × 6 / 100 = 5331.48.\n</reasoning>\nFinal Answer: 5331.48"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/6 / 8/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/6) ÷ (8/19) = (12/6) × (19/8) = 19/4.\n</reasoning>\nFinal Answer: 19/4"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [34, 78, 5, 70, 28, 54, 3, 68]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {34: 1, 78: 1, 5: 1, 70: 1, 28: 1, 54: 1, 3: 1, 68: 1}. Most frequent: [34, 78, 5, 70, 28, 54, 3, 68].\n</reasoning>\nFinal Answer: [34, 78, 5, 70... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Ravi has 58 apples and buys 99 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 58 + 99 = 157.\n</reasoning>\nFinal Answer: 157"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [3, 9, 14] and B = [2, 3, 9, 10, 11, 12, 13], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 3, 9, 10, 11, 12, 13, 14].\n</reasoning>\nFinal Answer: [2, 3, 9, 10, 11, 12, 13, 14]... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -799 mod -197"
},
{
"role": "assistant",
"content": "<reasoning>\n-799 mod -197: -799 = -197 × 4 + -11, so remainder = -11.\n</reasoning>\nFinal Answer: -11"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a triangle with base 52 and height 68."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × base × height = 0.5 × 52 × 68 = 1768.0.\n</reasoning>\nFinal Answer: 1768.0"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "115 is what percentage of 265?"
},
{
"role": "assistant",
"content": "<reasoning>\n(115/265) × 100 = 43.3962%.\n</reasoning>\nFinal Answer: 43.3962%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [89, 8, 7, 52, 35, 29]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 89 - 7 = 82.\n</reasoning>\nFinal Answer: 82"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the range of: [33, 83, 33, 40, 97, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 97 - 33 = 64.\n</reasoning>\nFinal Answer: 64"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 66 and width 21."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(66+21) = 2×87 = 174.\n</reasoning>\nFinal Answer: 174"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the median of: [34, 93, 23, 42, 77, 72]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [23, 34, 42, 72, 77, 93]. Middle value(s) → median = 57.0.\n</reasoning>\nFinal Answer: 57.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Given A = [3, 5, 8, 12, 18, 19] and B = [4, 5, 8, 10, 11, 15, 16, 18], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [3, 4, 10, 11, 12, 15, 16, 19].\n</reasoni... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 14x + 34 = -512"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 34 from both sides: 14x = -546. Divide by 14: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 22 and 18."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (22×18)/2 = 198.\n</reasoning>\nFinal Answer: 198"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:34 and A = 85, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/34, so B = A × (34/27) = 85 × 34/27 = 107.037.\n</reasoning>\nFinal Answer: 107.037"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "145 is what percentage of 671?"
},
{
"role": "assistant",
"content": "<reasoning>\n(145/671) × 100 = 21.6095%.\n</reasoning>\nFinal Answer: 21.6095%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [46, 74, 30, 73, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 87 - 30 = 57.\n</reasoning>\nFinal Answer: 57"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 747 × 374"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 747 by 374: 747 × 374 = 279378.\n</reasoning>\nFinal Answer: 279378"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -49 = 207"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -49 from both sides: 8x = 256. Divide by 8: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 213 mod 780"
},
{
"role": "assistant",
"content": "<reasoning>\n213 mod 780: 213 = 780 × 0 + 213, so remainder = 213.\n</reasoning>\nFinal Answer: 213"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [3, 6, 12, 15] and B = [1, 4, 8, 16], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [].\n</reasoning>\nFinal Answer: []"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 50 * 3 + 50 * 19"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 50×3=150 and 50×19=950, then add: 1100.\n</reasoning>\nFinal Answer: 1100"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -43 = -19"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -43 from both sides: 2x = 24. Divide by 2: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 0 = 11"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 0 from both sides: 1x = 11. Divide by 1: x = 11.\n</reasoning>\nFinal Answer: 11"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + 6 = 474"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 6 from both sides: 12x = 468. Divide by 12: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -323 × -103"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -323 by -103: -323 × -103 = 33269.\n</reasoning>\nFinal Answer: 33269"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 11] and B = [2, 6, 9, 14, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 5, 9, 11, 14, 19].\n</reasoning>\nFinal Answer: [2, 5, 9, 11,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "76 is what percentage of 518?"
},
{
"role": "assistant",
"content": "<reasoning>\n(76/518) × 100 = 14.6718%.\n</reasoning>\nFinal Answer: 14.6718%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: 94 + 528"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 94 and 528: 94 + 528 = 622.\n</reasoning>\nFinal Answer: 622"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 12 = -1278"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 12 from both sides: 30x = -1290. Divide by 30: x = -43.\n</reasoning>\nFinal Answer: -43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/19 * 15/9"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/19) × (15/9) = (15/171) = 5/57 after simplification.\n</reasoning>\nFinal Answer: 5/57"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 62 apples and buys 142 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 62 + 142 = 204.\n</reasoning>\nFinal Answer: 204"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 13/16 + 5/7"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 13/16 + 5/7. Common denominator = 112. Result = 171/112.\n</reasoning>\nFinal Answer: 171/112"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 176 apples and buys 19 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 176 + 19 = 195.\n</reasoning>\nFinal Answer: 195"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "A bag has 5 red and 10 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 10/15 = 0.6667.\n</reasoning>\nFinal Answer: 0.6667"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 13 = 65"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 13 from both sides: 4x = 52. Divide by 4: x = 13.\n</reasoning>\nFinal Answer: 13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 4/15 * 1/8"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (4/15) × (1/8) = (4/120) = 1/30 after simplification.\n</reasoning>\nFinal Answer: 1/30"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [22, 40, 58, 76, 94]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 22 and common difference 18. Next term = 94 + 18 = 112.\n</reasoning>\nFinal Answer: 112"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 198 and 137."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(198,137) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [4, 29, 62, 18, 66, 59, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 18, 18, 29, 59, 62, 66]. Middle value(s) → median = 29.\n</reasoning>\nFinal Answer: 29"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + 15 = 105"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 15 from both sides: 6x = 90. Divide by 6: x = 15.\n</reasoning>\nFinal Answer: 15"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 40 * 21 + 19 * 10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 40×21=840 and 19×10=190, then add: 1030.\n</reasoning>\nFinal Answer: 1030"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Given A = [5, 7, 10] and B = [5, 7, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [5, 7].\n</reasoning>\nFinal Answer: [5, 7]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Increase 907 by 10%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 10%: 907 × (1 + 10/100) = 907 × 1.1 = 997.7.\n</reasoning>\nFinal Answer: 997.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -391 - 715"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 715 from -391: -391 - 715 = -1106.\n</reasoning>\nFinal Answer: -1106"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 14 apples and buys 66 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 14 + 66 = 80.\n</reasoning>\nFinal Answer: 80"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the median of: [4, 45, 83, 38, 77, 38, 48, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 38, 38, 45, 48, 70, 77, 83]. Middle value(s) → median = 46.5.\n</reasoning>\nFinal Answer: 46.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -369 × 642"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -369 by 642: -369 × 642 = -236898.\n</reasoning>\nFinal Answer: -236898"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 36:26 and A = 64, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 36/26, so B = A × (26/36) = 64 × 26/36 = 46.2222.\n</reasoning>\nFinal Answer: 46.2222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "584 is what percentage of 701?"
},
{
"role": "assistant",
"content": "<reasoning>\n(584/701) × 100 = 83.3096%.\n</reasoning>\nFinal Answer: 83.3096%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Increase 688 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 688 × (1 + 25/100) = 688 × 1.25 = 860.0.\n</reasoning>\nFinal Answer: 860.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 49 and width 67."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(49+67) = 2×116 = 232.\n</reasoning>\nFinal Answer: 232"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 44 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 44 × 12 = 528.\n</reasoning>\nFinal Answer: 528"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 1 + -376"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 1 and -376: 1 + -376 = -375.\n</reasoning>\nFinal Answer: -375"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 186 by 5%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 5%: 186 × (1 - 5/100) = 186 × 0.95 = 176.7.\n</reasoning>\nFinal Answer: 176.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
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