messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the range of: [59, 20, 10, 68, 48, 1, 1, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 68 - 1 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the mode of: [2, 21, 72, 1, 73, 65, 54, 3, 95, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {2: 1, 21: 1, 72: 1, 1: 1, 73: 1, 65: 1, 54: 1, 3: 1, 95: 1, 88: 1}. Most frequent: [2, 21, 72, 1, 73, 65, 54, 3, 95, 88].\n</reasoning>\nF... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 2:1 and A = 97, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 2/1, so B = A × (1/2) = 97 × 1/2 = 48.5.\n</reasoning>\nFinal Answer: 48.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -509 × 536"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -509 by 536: -509 × 536 = -272824.\n</reasoning>\nFinal Answer: -272824"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mean of: [80, 13, 92, 79, 10, 3, 70, 87]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 434/8 = 54.25.\n</reasoning>\nFinal Answer: 54.25"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the mean of: [75, 49, 46, 87, 16, 82, 40, 2]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 397/8 = 49.625.\n</reasoning>\nFinal Answer: 49.625"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: -965 + 979"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -965 and 979: -965 + 979 = 14.\n</reasoning>\nFinal Answer: 14"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 42 * 9 + 35 * 4"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 42×9=378 and 35×4=140, then add: 518.\n</reasoning>\nFinal Answer: 518"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 448 + -157"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 448 and -157: 448 + -157 = 291.\n</reasoning>\nFinal Answer: 291"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 37 * 46 + 14 * 47"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 37×46=1702 and 14×47=658, then add: 2360.\n</reasoning>\nFinal Answer: 2360"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -401 - -64"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -64 from -401: -401 - -64 = -337.\n</reasoning>\nFinal Answer: -337"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "9 workers can complete a job in 16 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 9 × 16 = 144 worker-days. New time = 144 / 5 = 28.8 days.\n</reasoning>\nFinal Answer: 28.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 8 + 49 * 23 - 6"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 49×23=1127, then 8+1127-6=1129.\n</reasoning>\nFinal Answer: 1129"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 836 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 836 × (1 + 60/100) = 836 × 1.6 = 1337.6.\n</reasoning>\nFinal Answer: 1337.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 814 - -833"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -833 from 814: 814 - -833 = 1647.\n</reasoning>\nFinal Answer: 1647"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/16 / 15/15"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/16) ÷ (15/15) = (15/16) × (15/15) = 15/16.\n</reasoning>\nFinal Answer: 15/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 30."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×30)/5 = 210.\n</reasoning>\nFinal Answer: 210"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 1/13 + 4/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 1/13 + 4/12. Common denominator = 39. Result = 16/39.\n</reasoning>\nFinal Answer: 16/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 19 = -105"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 19 from both sides: 4x = -124. Divide by 4: x = -31.\n</reasoning>\nFinal Answer: -31"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 183 by 50%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 50%: 183 × (1 + 50/100) = 183 × 1.5 = 274.5.\n</reasoning>\nFinal Answer: 274.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 98 and height 85."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 98 × 85 = 8330.\n</reasoning>\nFinal Answer: 8330"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 89 and height 93."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 89 × 93 = 8277.\n</reasoning>\nFinal Answer: 8277"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [38, 72, 95, 88, 75, 11, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 95 - 11 = 84.\n</reasoning>\nFinal Answer: 84"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (41 + 7) * (47 - 36)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (41+7)=48, (47-36)=11, then 48×11=528.\n</reasoning>\nFinal Answer: 528"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 11/4 * 5/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (11/4) × (5/17) = (55/68) = 55/68 after simplification.\n</reasoning>\nFinal Answer: 55/68"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/19 / 12/12"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/19) ÷ (12/12) = (20/19) × (12/12) = 20/19.\n</reasoning>\nFinal Answer: 20/19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 8, 10] and B = [5, 7, 8, 10, 11, 15], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [5, 6, 7, 8, 10, 11, 15].\n</reasoning>\nFinal Answer: [5, 6, 7, 8, 10, 11, 15]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: 118 + -62"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 118 and -62: 118 + -62 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 4x + 11 = -165"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 11 from both sides: 4x = -176. Divide by 4: x = -44.\n</reasoning>\nFinal Answer: -44"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 105 apples and buys 80 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 105 + 80 = 185.\n</reasoning>\nFinal Answer: 185"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -116 × -712"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -116 by -712: -116 × -712 = 82592.\n</reasoning>\nFinal Answer: 82592"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 33 * 26 - 20"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 33×26=858, then 33+858-20=871.\n</reasoning>\nFinal Answer: 871"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 38 and common difference 11, find the 37th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 38 + (37-1)×11 = 38 + 396 = 434.\n</reasoning>\nFinal Answer: 434"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 92 and width 53."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 92 × 53 = 4876.\n</reasoning>\nFinal Answer: 4876"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -381 + 278"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -381 and 278: -381 + 278 = -103.\n</reasoning>\nFinal Answer: -103"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -9 = 327"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 8x = 336. Divide by 8: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (13 + 44) * (38 - 46)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (13+44)=57, (38-46)=-8, then 57×-8=-456.\n</reasoning>\nFinal Answer: -456"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the median of: [37, 74, 3, 85, 33, 93, 72, 41, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [3, 33, 37, 41, 72, 74, 85, 89, 93]. Middle value(s) → median = 72.\n</reasoning>\nFinal Answer: 72"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + -4 = -1174"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 30x = -1170. Divide by 30: x = -39.\n</reasoning>\nFinal Answer: -39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 410 ÷ 195"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 410 by 195. 410 ÷ 195 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [44, 59, 74, 89, 104]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 44 and common difference 15. Next term = 104 + 15 = 119.\n</reasoning>\nFinal Answer: 119"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 3 and 45."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (3×45)/3 = 45.\n</reasoning>\nFinal Answer: 45"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Given A = [1, 8, 9, 12] and B = [1, 10, 11, 12, 13, 18], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [1, 8, 9, 10, 11, 12, 13, 18].\n</reasoning>\nFinal Answer: [1, 8, 9, 10, 11, 12, 13, 18... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 84 and height 54."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 84 × 54 = 4536.\n</reasoning>\nFinal Answer: 4536"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "19 workers can complete a job in 19 days. How many days will 3 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 19 × 19 = 361 worker-days. New time = 361 / 3 = 120.3333 days.\n</reasoning>\nFinal Answer: 120.3333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 6 and common difference 16, find the 24th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 6 + (24-1)×16 = 6 + 368 = 374.\n</reasoning>\nFinal Answer: 374"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 24 = -80"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 8x = -104. Divide by 8: x = -13.\n</reasoning>\nFinal Answer: -13"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 795 + 698"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 795 and 698: 795 + 698 = 1493.\n</reasoning>\nFinal Answer: 1493"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 604 by 65%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 65%: 604 × (1 + 65/100) = 604 × 1.65 = 996.6.\n</reasoning>\nFinal Answer: 996.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 871 + -764"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 871 and -764: 871 + -764 = 107.\n</reasoning>\nFinal Answer: 107"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 8 * 24 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 8×24=192, then 47+192-40=199.\n</reasoning>\nFinal Answer: 199"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 344 - 26"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 26 from 344: 344 - 26 = 318.\n</reasoning>\nFinal Answer: 318"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + 50 = -192"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 50 from both sides: 11x = -242. Divide by 11: x = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -403 - -566"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -566 from -403: -403 - -566 = 163.\n</reasoning>\nFinal Answer: 163"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 767 + -240"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 767 and -240: 767 + -240 = 527.\n</reasoning>\nFinal Answer: 527"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 12x + -21 = -525"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 12x = -504. Divide by 12: x = -42.\n</reasoning>\nFinal Answer: -42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the range of: [93, 33, 55, 93, 58, 82, 70]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 93 - 33 = 60.\n</reasoning>\nFinal Answer: 60"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Solve for x: 26x + -28 = -964"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -28 from both sides: 26x = -936. Divide by 26: x = -36.\n</reasoning>\nFinal Answer: -36"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -30 = 570"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 24x = 600. Divide by 24: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 34:49 and A = 19, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 34/49, so B = A × (49/34) = 19 × 49/34 = 27.3824.\n</reasoning>\nFinal Answer: 27.3824"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (3 + 23) * (45 - 44)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (3+23)=26, (45-44)=1, then 26×1=26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Decrease 738 by 45%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 45%: 738 × (1 - 45/100) = 738 × 0.55 = 405.9.\n</reasoning>\nFinal Answer: 405.9"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 27 and height 18."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+27) × 18 = 522.0.\n</reasoning>\nFinal Answer: 522.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 13:22 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 13/22, so B = A × (22/13) = 51 × 22/13 = 86.3077.\n</reasoning>\nFinal Answer: 86.3077"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 14/10 - 9/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 14/10 - 9/8. LCD = 40. Result = 11/40.\n</reasoning>\nFinal Answer: 11/40"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 85 km/h. How far does it travel in 4 hours and 58 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 4 + 58/60 = 4.9667 hours. Distance = speed × time = 85 × 4.9667 = 422.1667 km.\n</reasoning>\nFinal Answer: 422.1667"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [8, 10, 11, 14, 16] and B = [3, 5, 6, 11, 19], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [8, 10, 14, 16].\n</reasoning>\nFinal Answer: [8, 10, 14, 16]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Simplify: 20/3 + 4/13"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/3 + 4/13. Common denominator = 39. Result = 272/39.\n</reasoning>\nFinal Answer: 272/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 141 × -122"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 141 by -122: 141 × -122 = -17202.\n</reasoning>\nFinal Answer: -17202"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 41 and height 31."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 41 × 31 = 1271.\n</reasoning>\nFinal Answer: 1271"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 9:44 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 9/44, so B = A × (44/9) = 53 × 44/9 = 259.1111.\n</reasoning>\nFinal Answer: 259.1111"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 41 and width 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 41 × 12 = 492.\n</reasoning>\nFinal Answer: 492"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [31, 32, 58, 55, 93, 44, 74, 45]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 432/8 = 54.0.\n</reasoning>\nFinal Answer: 54.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Simplify: 2/11 + 16/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 2/11 + 16/19. Common denominator = 209. Result = 214/209.\n</reasoning>\nFinal Answer: 214/209"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 15 * 50 + 49 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 15×50=750 and 49×3=147, then add: 897.\n</reasoning>\nFinal Answer: 897"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 13x + -1 = 415"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -1 from both sides: 13x = 416. Divide by 13: x = 32.\n</reasoning>\nFinal Answer: 32"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [7, 11, 17] and B = [2, 4, 8, 9, 14, 15], 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": "Solve for x: 19x + -31 = 786"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 19x = 817. Divide by 19: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 202 - -83"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -83 from 202: 202 - -83 = 285.\n</reasoning>\nFinal Answer: 285"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -967 + 605"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -967 and 605: -967 + 605 = -362.\n</reasoning>\nFinal Answer: -362"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 11/16 / 11/13"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (11/16) ÷ (11/13) = (11/16) × (13/11) = 13/16.\n</reasoning>\nFinal Answer: 13/16"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -705 ÷ 821"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -705 by 821. -705 ÷ 821 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 22 + 9 * 46 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 9×46=414, then 22+414-7=429.\n</reasoning>\nFinal Answer: 429"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 3/4 + 17/18"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 3/4 + 17/18. Common denominator = 36. Result = 61/36.\n</reasoning>\nFinal Answer: 61/36"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 428 - 63"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 63 from 428: 428 - 63 = 365.\n</reasoning>\nFinal Answer: 365"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 62 km/h. How far does it travel in 3 hours and 43 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 3 + 43/60 = 3.7167 hours. Distance = speed × time = 62 × 3.7167 = 230.4333 km.\n</reasoning>\nFinal Answer: 230.4333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + -50 = -98"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -50 from both sides: 2x = -48. Divide by 2: x = -24.\n</reasoning>\nFinal Answer: -24"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 9/17 / 15/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (9/17) ÷ (15/19) = (9/17) × (19/15) = 57/85.\n</reasoning>\nFinal Answer: 57/85"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 119 and 89."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(119,89) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -186 mod 610"
},
{
"role": "assistant",
"content": "<reasoning>\n-186 mod 610: -186 = 610 × -1 + 424, so remainder = 424.\n</reasoning>\nFinal Answer: 424"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:31 and A = 86, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/31, so B = A × (31/49) = 86 × 31/49 = 54.4082.\n</reasoning>\nFinal Answer: 54.4082"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 28:18 and A = 11, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 28/18, so B = A × (18/28) = 11 × 18/28 = 7.0714.\n</reasoning>\nFinal Answer: 7.0714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "An item costs ₹1719. If sales tax is 28%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1719 × 28/100 = 481.32. Total = 1719 + 481.32 = 2200.32.\n</reasoning>\nFinal Answer: 2200.32"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 973 + 443"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 973 and 443: 973 + 443 = 1416.\n</reasoning>\nFinal Answer: 1416"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "A train travels at 177 km/h. How far does it travel in 9 hours and 8 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 8/60 = 9.1333 hours. Distance = speed × time = 177 × 9.1333 = 1616.6 km.\n</reasoning>\nFinal Answer: 1616.6"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [69, 47, 95, 57, 54, 8]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 330/6 = 55.0.\n</reasoning>\nFinal Answer: 55.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Calculate: 312 + 709"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 312 and 709: 312 + 709 = 1021.\n</reasoning>\nFinal Answer: 1021"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [1, 2, 3, 7, 8, 9, 11, 13] and B = [9, 11, 12, 13, 14, 16, 17, 18], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [9, 11, 13].\n</reasoning>\nFinal Answer: [9, 11, 13]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [2, 3, 5, 6, 10, 13, 14, 16] and B = [6, 7, 10, 15], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 3, 5, 7, 13, 14, 15, 16].\n</reasoning>\nFinal... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the median of: [78, 12, 21, 21, 96, 11, 58, 77]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 12, 21, 21, 58, 77, 78, 96]. Middle value(s) → median = 39.5.\n</reasoning>\nFinal Answer: 39.5"
}
] | medium | [
"statistics",
"median"
] |
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