messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Find the area of a rectangle with length 83 and width 17."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 83 × 17 = 1411.\n</reasoning>\nFinal Answer: 1411"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mode of: [93, 85, 69, 72, 79, 88]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {93: 1, 85: 1, 69: 1, 72: 1, 79: 1, 88: 1}. Most frequent: [93, 85, 69, 72, 79, 88].\n</reasoning>\nFinal Answer: [93, 85, 69, 72, 79, 88]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the median of: [6, 90, 49, 95, 15, 10, 30, 61, 83, 47]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [6, 10, 15, 30, 47, 49, 61, 83, 90, 95]. Middle value(s) → median = 48.0.\n</reasoning>\nFinal Answer: 48.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 24 = -1292"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 28x = -1316. Divide by 28: x = -47.\n</reasoning>\nFinal Answer: -47"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 16 = -7"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 16 from both sides: 1x = -23. Divide by 1: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 1/14 * 3/11"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (1/14) × (3/11) = (3/154) = 3/154 after simplification.\n</reasoning>\nFinal Answer: 3/154"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 + 38 * 33 - 40"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 38×33=1254, then 33+1254-40=1247.\n</reasoning>\nFinal Answer: 1247"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 22, 12 and height 1."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (22+12) × 1 = 17.0.\n</reasoning>\nFinal Answer: 17.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 24:6 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 24/6, so B = A × (6/24) = 32 × 6/24 = 8.0.\n</reasoning>\nFinal Answer: 8.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -157 × -883"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -157 by -883: -157 × -883 = 138631.\n</reasoning>\nFinal Answer: 138631"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "What is 80% of 781?"
},
{
"role": "assistant",
"content": "<reasoning>\n80% of 781 = (80/100) × 781 = 624.8.\n</reasoning>\nFinal Answer: 624.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 9/4 * 17/13"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/4) × (17/13) = (153/52) = 153/52 after simplification.\n</reasoning>\nFinal Answer: 153/52"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 594 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 594 × (1 + 60/100) = 594 × 1.6 = 950.4.\n</reasoning>\nFinal Answer: 950.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 28 and common difference 8, find the 39th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 28 + (39-1)×8 = 28 + 304 = 332.\n</reasoning>\nFinal Answer: 332"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 49:27 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 49/27, so B = A × (27/49) = 39 × 27/49 = 21.4898.\n</reasoning>\nFinal Answer: 21.4898"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 12/1 + 14/2"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 12/1 + 14/2. Common denominator = 1. Result = 19.\n</reasoning>\nFinal Answer: 19"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the mode of: [56, 99, 44, 53, 92, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {56: 1, 99: 1, 44: 1, 53: 1, 92: 1, 79: 1}. Most frequent: [56, 99, 44, 53, 92, 79].\n</reasoning>\nFinal Answer: [56, 99, 44, 53, 92, 79]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 97 and 63."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(97,63) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -664 mod -289"
},
{
"role": "assistant",
"content": "<reasoning>\n-664 mod -289: -664 = -289 × 2 + -86, so remainder = -86.\n</reasoning>\nFinal Answer: -86"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -582 + -972"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -582 and -972: -582 + -972 = -1554.\n</reasoning>\nFinal Answer: -1554"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 40 and width 33."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 40 × 33 = 1320.\n</reasoning>\nFinal Answer: 1320"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the range of: [84, 27, 25, 17, 12, 46, 22]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 84 - 12 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 621 mod 45"
},
{
"role": "assistant",
"content": "<reasoning>\n621 mod 45: 621 = 45 × 13 + 36, so remainder = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 49 + 13 * 48 - 24"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 13×48=624, then 49+624-24=649.\n</reasoning>\nFinal Answer: 649"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "398 is what percentage of 780?"
},
{
"role": "assistant",
"content": "<reasoning>\n(398/780) × 100 = 51.0256%.\n</reasoning>\nFinal Answer: 51.0256%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 48 * 24 + 9 * 32"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 48×24=1152 and 9×32=288, then add: 1440.\n</reasoning>\nFinal Answer: 1440"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a triangle with sides 10, 30, and 39."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = sum of all sides = 10 + 30 + 39 = 79.\n</reasoning>\nFinal Answer: 79"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹25464 at 11% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 25464 × 11 × 9 / 100 = 25209.36.\n</reasoning>\nFinal Answer: 25209.36"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [26, 58, 11, 57, 53, 74, 30]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {26: 1, 58: 1, 11: 1, 57: 1, 53: 1, 74: 1, 30: 1}. Most frequent: [26, 58, 11, 57, 53, 74, 30].\n</reasoning>\nFinal Answer: [26, 58, 11, 57, 53, 74... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 23:43 and A = 35, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 23/43, so B = A × (43/23) = 35 × 43/23 = 65.4348.\n</reasoning>\nFinal Answer: 65.4348"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 37 and width 36."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 37 × 36 = 1332.\n</reasoning>\nFinal Answer: 1332"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 27 and common difference 7, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 27 + (20-1)×7 = 27 + 133 = 160.\n</reasoning>\nFinal Answer: 160"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mode of: [61, 20, 95, 56, 99, 89]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {61: 1, 20: 1, 95: 1, 56: 1, 99: 1, 89: 1}. Most frequent: [61, 20, 95, 56, 99, 89].\n</reasoning>\nFinal Answer: [61, 20, 95, 56, 99, 89]"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 31, 29 and height 28."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (31+29) × 28 = 840.0.\n</reasoning>\nFinal Answer: 840.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "A bag has 8 red and 2 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 8/10 = 0.8.\n</reasoning>\nFinal Answer: 0.8"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Given A = [4, 5, 6, 8, 9, 12, 14, 16] and B = [5, 9, 10, 11, 15, 19], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [4, 6, 8, 10, 11, 12, 14, 15, 16, 19].\n</r... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -286 + -310"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -286 and -310: -286 + -310 = -596.\n</reasoning>\nFinal Answer: -596"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 221 - -59"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -59 from 221: 221 - -59 = 280.\n</reasoning>\nFinal Answer: 280"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/17 / 7/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/17) ÷ (7/7) = (15/17) × (7/7) = 15/17.\n</reasoning>\nFinal Answer: 15/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "18 workers can complete a job in 13 days. How many days will 5 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 18 × 13 = 234 worker-days. New time = 234 / 5 = 46.8 days.\n</reasoning>\nFinal Answer: 46.8"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 10/15 * 16/15"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/15) × (16/15) = (160/225) = 32/45 after simplification.\n</reasoning>\nFinal Answer: 32/45"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 650 km apart. Their speeds are 40 km/h and 45 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 40+45=85 km/h. Time = 650/85 = 7.6471 hours.\n</reasoning>\nFinal Answer: ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 15/12 - 2/6"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/12 - 2/6. LCD = 12. Result = 11/12.\n</reasoning>\nFinal Answer: 11/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 10, find the 50th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (50-1)×10 = 4 + 490 = 494.\n</reasoning>\nFinal Answer: 494"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the mean of: [94, 83, 74, 29, 62, 68, 19, 43]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 472/8 = 59.0.\n</reasoning>\nFinal Answer: 59.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Find the median of: [54, 18, 99, 12, 74, 4]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [4, 12, 18, 54, 74, 99]. Middle value(s) → median = 36.0.\n</reasoning>\nFinal Answer: 36.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: 539 mod 983"
},
{
"role": "assistant",
"content": "<reasoning>\n539 mod 983: 539 = 983 × 0 + 539, so remainder = 539.\n</reasoning>\nFinal Answer: 539"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/13 + 10/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/13 + 10/3. Common denominator = 39. Result = 172/39.\n</reasoning>\nFinal Answer: 172/39"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 933 mod 314"
},
{
"role": "assistant",
"content": "<reasoning>\n933 mod 314: 933 = 314 × 2 + 305, so remainder = 305.\n</reasoning>\nFinal Answer: 305"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 1, 42 and height 11."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (1+42) × 11 = 236.5.\n</reasoning>\nFinal Answer: 236.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Decrease 146 by 3%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 3%: 146 × (1 - 3/100) = 146 × 0.97 = 141.62.\n</reasoning>\nFinal Answer: 141.62"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (-12)x + (20) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = -12² - 4×1×20 = 64. √discriminant = 8. x = (-(-12) ± 8) / (2×1). Solutions: x = 10 or x = 2.\n</reasoning>\nFinal Answer: x = 10 or x = 2"
}
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Calculate: -813 - -912"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -912 from -813: -813 - -912 = 99.\n</reasoning>\nFinal Answer: 99"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 804 mod 18"
},
{
"role": "assistant",
"content": "<reasoning>\n804 mod 18: 804 = 18 × 44 + 12, so remainder = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 784 km apart. Their speeds are 105 km/h and 74 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 105+74=179 km/h. Time = 784/179 = 4.3799 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 256 × -630"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 256 by -630: 256 × -630 = -161280.\n</reasoning>\nFinal Answer: -161280"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the mode of: [16, 89, 87, 20, 46, 100, 74, 24, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {16: 1, 89: 1, 87: 1, 20: 1, 46: 1, 100: 1, 74: 1, 24: 1, 7: 1}. Most frequent: [16, 89, 87, 20, 46, 100, 74, 24, 7].\n</reasoning>\nFinal A... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -335 mod -963"
},
{
"role": "assistant",
"content": "<reasoning>\n-335 mod -963: -335 = -963 × 0 + -335, so remainder = -335.\n</reasoning>\nFinal Answer: -335"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -817 - -467"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -467 from -817: -817 - -467 = -350.\n</reasoning>\nFinal Answer: -350"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 991 ÷ -256"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 991 by -256. 991 ÷ -256 = -4 (integer division).\n</reasoning>\nFinal Answer: -4"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 9/8 * 11/10"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (9/8) × (11/10) = (99/80) = 99/80 after simplification.\n</reasoning>\nFinal Answer: 99/80"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Ravi has 160 apples and buys 15 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 160 + 15 = 175.\n</reasoning>\nFinal Answer: 175"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:13 and A = 44, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/13, so B = A × (13/11) = 44 × 13/11 = 52.0.\n</reasoning>\nFinal Answer: 52.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹38491 at 9% per annum for 6 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 38491 × 9 × 6 / 100 = 20785.14.\n</reasoning>\nFinal Answer: 20785.14"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 31 + 11 ** 2 - 41"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 11²=121, then 31+121-41=111.\n</reasoning>\nFinal Answer: 111"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (35 + 10) * (5 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (35+10)=45, (5-10)=-5, then 45×-5=-225.\n</reasoning>\nFinal Answer: -225"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 605 - 470"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 470 from 605: 605 - 470 = 135.\n</reasoning>\nFinal Answer: 135"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹1978. If sales tax is 18%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 1978 × 18/100 = 356.04. Total = 1978 + 356.04 = 2334.04.\n</reasoning>\nFinal Answer: 2334.04"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -635 ÷ -266"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -635 by -266. -635 ÷ -266 = 2 (integer division).\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 115 - 145"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 145 from 115: 115 - 145 = -30.\n</reasoning>\nFinal Answer: -30"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 138 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 138 × (1 + 12/100) = 138 × 1.12 = 154.56.\n</reasoning>\nFinal Answer: 154.56"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 7:38 and A = 66, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 7/38, so B = A × (38/7) = 66 × 38/7 = 358.2857.\n</reasoning>\nFinal Answer: 358.2857"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 20 and 101."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(20,101) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 12:6 and A = 71, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 12/6, so B = A × (6/12) = 71 × 6/12 = 35.5.\n</reasoning>\nFinal Answer: 35.5"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 29:14 and A = 13, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 29/14, so B = A × (14/29) = 13 × 14/29 = 6.2759.\n</reasoning>\nFinal Answer: 6.2759"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 10/12 * 14/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (10/12) × (14/5) = (140/60) = 7/3 after simplification.\n</reasoning>\nFinal Answer: 7/3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 43 and 4."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (43×4)/1 = 172.\n</reasoning>\nFinal Answer: 172"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "A train travels at 49 km/h. How far does it travel in 12 hours and 15 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 12 + 15/60 = 12.2500 hours. Distance = speed × time = 49 × 12.2500 = 600.25 km.\n</reasoning>\nFinal Answer: 600.25"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mode of: [18, 17, 18, 15, 50, 75, 61, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {18: 2, 17: 1, 15: 1, 50: 1, 75: 1, 61: 1, 93: 1}. Most frequent: 18.\n</reasoning>\nFinal Answer: 18"
}
] | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Calculate: -965 + -624"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -965 and -624: -965 + -624 = -1589.\n</reasoning>\nFinal Answer: -1589"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + -42 = -834"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -42 from both sides: 24x = -792. Divide by 24: x = -33.\n</reasoning>\nFinal Answer: -33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 7, 13, 15, 19] and B = [10, 11, 13, 15, 16, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 4, 7, 19].\n</reasoning>\nFinal Answer: [3, 4, 7, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -3 = 814"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -3 from both sides: 19x = 817. Divide by 19: x = 43.\n</reasoning>\nFinal Answer: 43"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 43 and height 23."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+43) × 23 = 1012.0.\n</reasoning>\nFinal Answer: 1012.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 298 mod -131"
},
{
"role": "assistant",
"content": "<reasoning>\n298 mod -131: 298 = -131 × -3 + -95, so remainder = -95.\n</reasoning>\nFinal Answer: -95"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 14/2 + 7/8"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 14/2 + 7/8. Common denominator = 8. Result = 63/8.\n</reasoning>\nFinal Answer: 63/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + 24 = -256"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 24 from both sides: 10x = -280. Divide by 10: x = -28.\n</reasoning>\nFinal Answer: -28"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -21 = -131"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 22x = -110. Divide by 22: x = -5.\n</reasoning>\nFinal Answer: -5"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 974 km apart. Their speeds are 53 km/h and 101 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 53+101=154 km/h. Time = 974/154 = 6.3247 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 337 km apart. Their speeds are 98 km/h and 94 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 98+94=192 km/h. Time = 337/192 = 1.7552 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Given A = [4, 7, 9, 15, 17, 19] and B = [3, 6, 7, 13, 15, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [4, 9, 17, 19].\n</reasoning>\nFinal Answer: [4, 9, 17, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "20 workers can complete a job in 20 days. How many days will 9 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 20 × 20 = 400 worker-days. New time = 400 / 9 = 44.4444 days.\n</reasoning>\nFinal Answer: 44.4444"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: -550 mod -86"
},
{
"role": "assistant",
"content": "<reasoning>\n-550 mod -86: -550 = -86 × 6 + -34, so remainder = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 86 apples and buys 183 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 86 + 183 = 269.\n</reasoning>\nFinal Answer: 269"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [59, 62, 74, 56, 68, 55, 55, 42]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 471/8 = 58.875.\n</reasoning>\nFinal Answer: 58.875"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Decrease 277 by 20%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 20%: 277 × (1 - 20/100) = 277 × 0.8 = 221.6.\n</reasoning>\nFinal Answer: 221.6"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -88 - -912"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -912 from -88: -88 - -912 = 824.\n</reasoning>\nFinal Answer: 824"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve: 1x² + (10)x + (16) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 10² - 4×1×16 = 36. √discriminant = 6. x = (-(10) ± 6) / (2×1). Solutions: x = -8 or x = -2.\n</reasoning>\nFinal Answer: x = -8 or x = -2"
}
] | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 35 and 49."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (35×49)/7 = 245.\n</reasoning>\nFinal Answer: 245"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Simplify: 9/7 + 20/3"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 9/7 + 20/3. Common denominator = 21. Result = 167/21.\n</reasoning>\nFinal Answer: 167/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
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