messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "Evaluate using order of operations: (10 + 21) * (13 - 27)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (10+21)=31, (13-27)=-14, then 31×-14=-434.\n</reasoning>\nFinal Answer: -434"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Simplify: 6/10 + 1/19"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 6/10 + 1/19. Common denominator = 95. Result = 62/95.\n</reasoning>\nFinal Answer: 62/95"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 15/20 * 10/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/20) × (10/5) = (150/100) = 3/2 after simplification.\n</reasoning>\nFinal Answer: 3/2"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:10 and A = 9, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/10, so B = A × (10/45) = 9 × 10/45 = 2.0.\n</reasoning>\nFinal Answer: 2.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 11:26 and A = 33, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 11/26, so B = A × (26/11) = 33 × 26/11 = 78.0.\n</reasoning>\nFinal Answer: 78.0"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -9 = 207"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -9 from both sides: 8x = 216. Divide by 8: x = 27.\n</reasoning>\nFinal Answer: 27"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -603 + -79"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -603 and -79: -603 + -79 = -682.\n</reasoning>\nFinal Answer: -682"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 11x + -30 = -316"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -30 from both sides: 11x = -286. Divide by 11: x = -26.\n</reasoning>\nFinal Answer: -26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 47 + 7 ** 2 - 22"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 7²=49, then 47+49-22=74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -627 ÷ -642"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -627 by -642. -627 ÷ -642 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 97 and height 12."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 97 × 12 = 1164.\n</reasoning>\nFinal Answer: 1164"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [17, 27, 37, 47, 57]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 17 and common difference 10. Next term = 57 + 10 = 67.\n</reasoning>\nFinal Answer: 67"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "A bag has 10 red and 6 blue balls. What is the probability of drawing a red ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(red) = 10/16 = 0.625.\n</reasoning>\nFinal Answer: 0.625"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 83 and 8."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(83,8) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: 100 ÷ 401"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 100 by 401. 100 ÷ 401 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:23 and A = 47, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/23, so B = A × (23/45) = 47 × 23/45 = 24.0222.\n</reasoning>\nFinal Answer: 24.0222"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "95 is what percentage of 541?"
},
{
"role": "assistant",
"content": "<reasoning>\n(95/541) × 100 = 17.5601%.\n</reasoning>\nFinal Answer: 17.5601%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the range of: [67, 1, 52, 53, 64, 50, 76]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 76 - 1 = 75.\n</reasoning>\nFinal Answer: 75"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 2 and 150."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(2,150) = 2.\n</reasoning>\nFinal Answer: 2"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 108 and 193."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(108,193) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Calculate: -938 mod -702"
},
{
"role": "assistant",
"content": "<reasoning>\n-938 mod -702: -938 = -702 × 1 + -236, so remainder = -236.\n</reasoning>\nFinal Answer: -236"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 514 by 25%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 25%: 514 × (1 + 25/100) = 514 × 1.25 = 642.5.\n</reasoning>\nFinal Answer: 642.5"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 86 and width 8."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 86 × 8 = 688.\n</reasoning>\nFinal Answer: 688"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 20/18 / 10/4"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/18) ÷ (10/4) = (20/18) × (4/10) = 4/9.\n</reasoning>\nFinal Answer: 4/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "312 is what percentage of 359?"
},
{
"role": "assistant",
"content": "<reasoning>\n(312/359) × 100 = 86.9081%.\n</reasoning>\nFinal Answer: 86.9081%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Calculate: -854 - 766"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 766 from -854: -854 - 766 = -1620.\n</reasoning>\nFinal Answer: -1620"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 73 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 73 × (1 + 60/100) = 73 × 1.6 = 116.8.\n</reasoning>\nFinal Answer: 116.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + 2 = -530"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 2 from both sides: 28x = -532. Divide by 28: x = -19.\n</reasoning>\nFinal Answer: -19"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹21545 at 4% per annum for 5 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 21545 × 4 × 5 / 100 = 4309.0.\n</reasoning>\nFinal Answer: 4309.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 113 km apart. Their speeds are 54 km/h and 116 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 54+116=170 km/h. Time = 113/170 = 0.6647 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 529 - 793"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 793 from 529: 529 - 793 = -264.\n</reasoning>\nFinal Answer: -264"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the median of: [11, 83, 83, 93, 14, 31, 56, 84]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 14, 31, 56, 83, 83, 84, 93]. Middle value(s) → median = 69.5.\n</reasoning>\nFinal Answer: 69.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 4 and 36."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (4×36)/4 = 36.\n</reasoning>\nFinal Answer: 36"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 43 + 50 * 6 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 50×6=300, then 43+300-37=306.\n</reasoning>\nFinal Answer: 306"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "408 is what percentage of 845?"
},
{
"role": "assistant",
"content": "<reasoning>\n(408/845) × 100 = 48.284%.\n</reasoning>\nFinal Answer: 48.284%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [19, 34, 49, 64, 79]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 19 and common difference 15. Next term = 79 + 15 = 94.\n</reasoning>\nFinal Answer: 94"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 1 and common difference 3, find the 46th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 1 + (46-1)×3 = 1 + 135 = 136.\n</reasoning>\nFinal Answer: 136"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 73 and height 94."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 73 × 94 = 6862.\n</reasoning>\nFinal Answer: 6862"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 990 mod -300"
},
{
"role": "assistant",
"content": "<reasoning>\n990 mod -300: 990 = -300 × -4 + -210, so remainder = -210.\n</reasoning>\nFinal Answer: -210"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -72 + -335"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -72 and -335: -72 + -335 = -407.\n</reasoning>\nFinal Answer: -407"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Increase 10 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 10 × (1 + 70/100) = 10 × 1.7 = 17.0.\n</reasoning>\nFinal Answer: 17.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Given A = [3, 4, 6, 14] and B = [6, 10, 14, 16, 17, 18], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [3, 4].\n</reasoning>\nFinal Answer: [3, 4]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Given A = [6, 11, 15, 19] and B = [5, 10, 13, 14, 15, 16, 17], find A difference B."
},
{
"role": "assistant",
"content": "<reasoning>\nA - B contains elements in A but not in B. Result = [6, 11, 19].\n</reasoning>\nFinal Answer: [6, 11, 19]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 52 and height 5."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 52 × 5 = 260.\n</reasoning>\nFinal Answer: 260"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 523 + 287"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 523 and 287: 523 + 287 = 810.\n</reasoning>\nFinal Answer: 810"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 45, 34 and height 47."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (45+34) × 47 = 1856.5.\n</reasoning>\nFinal Answer: 1856.5"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Simplify: 5/11 + 1/15"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 5/11 + 1/15. Common denominator = 165. Result = 86/165.\n</reasoning>\nFinal Answer: 86/165"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate: 5^5"
},
{
"role": "assistant",
"content": "<reasoning>\n5^5 = 5 × 5 × 5 × 5 × 5 = 3125.\n</reasoning>\nFinal Answer: 3125"
}
] | easy | [
"exponents"
] |
[
{
"role": "user",
"content": "Simplify: 15/5 / 3/3"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (15/5) ÷ (3/3) = (15/5) × (3/3) = 3.\n</reasoning>\nFinal Answer: 3"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 31:34 and A = 75, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 31/34, so B = A × (34/31) = 75 × 34/31 = 82.2581.\n</reasoning>\nFinal Answer: 82.2581"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: -361 + 451"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -361 and 451: -361 + 451 = 90.\n</reasoning>\nFinal Answer: 90"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [81, 19, 91, 26, 52, 28, 73]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 91 - 19 = 72.\n</reasoning>\nFinal Answer: 72"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 44 * 25 + 23 * 3"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 44×25=1100 and 23×3=69, then add: 1169.\n</reasoning>\nFinal Answer: 1169"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 47 and height 86."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 47 × 86 = 4042.\n</reasoning>\nFinal Answer: 4042"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -862 - 459"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 459 from -862: -862 - 459 = -1321.\n</reasoning>\nFinal Answer: -1321"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 116 mod -583"
},
{
"role": "assistant",
"content": "<reasoning>\n116 mod -583: 116 = -583 × -1 + -467, so remainder = -467.\n</reasoning>\nFinal Answer: -467"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 28x + -33 = -1097"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -33 from both sides: 28x = -1064. Divide by 28: x = -38.\n</reasoning>\nFinal Answer: -38"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 7x + -44 = -107"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -44 from both sides: 7x = -63. Divide by 7: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: 404 - -753"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -753 from 404: 404 - -753 = 1157.\n</reasoning>\nFinal Answer: 1157"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 63 and height 44."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 63 × 44 = 2772.\n</reasoning>\nFinal Answer: 2772"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the mean of: [5, 7, 58, 7, 93]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 170/5 = 34.0.\n</reasoning>\nFinal Answer: 34.0"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -31 = -211"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 15x = -180. Divide by 15: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 15/11 * 1/17"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (15/11) × (1/17) = (15/187) = 15/187 after simplification.\n</reasoning>\nFinal Answer: 15/187"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 19x + -22 = -725"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -22 from both sides: 19x = -703. Divide by 19: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a parallelogram with base 96 and height 59."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = base × height = 96 × 59 = 5664.\n</reasoning>\nFinal Answer: 5664"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: -541 mod 775"
},
{
"role": "assistant",
"content": "<reasoning>\n-541 mod 775: -541 = 775 × -1 + 234, so remainder = 234.\n</reasoning>\nFinal Answer: 234"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 210 - -845"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -845 from 210: 210 - -845 = 1055.\n</reasoning>\nFinal Answer: 1055"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 48:23 and A = 39, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 48/23, so B = A × (23/48) = 39 × 23/48 = 18.6875.\n</reasoning>\nFinal Answer: 18.6875"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Find the median of: [88, 88, 68, 45, 60, 98, 59, 11]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [11, 45, 59, 60, 68, 88, 88, 98]. Middle value(s) → median = 64.0.\n</reasoning>\nFinal Answer: 64.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -596 × -847"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply -596 by -847: -596 × -847 = 504812.\n</reasoning>\nFinal Answer: 504812"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 845 × 646"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 845 by 646: 845 × 646 = 545870.\n</reasoning>\nFinal Answer: 545870"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Decrease 889 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 889 × (1 - 75/100) = 889 × 0.25 = 222.25.\n</reasoning>\nFinal Answer: 222.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A train travels at 121 km/h. How far does it travel in 1 hours and 50 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 1 + 50/60 = 1.8333 hours. Distance = speed × time = 121 × 1.8333 = 221.8333 km.\n</reasoning>\nFinal Answer: 221.8333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Decrease 25 by 75%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 75%: 25 × (1 - 75/100) = 25 × 0.25 = 6.25.\n</reasoning>\nFinal Answer: 6.25"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "A bag has 2 red and 8 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 8/10 = 0.8.\n</reasoning>\nFinal Answer: 0.8"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: 155 ÷ 406"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 155 by 406. 155 ÷ 406 = 0 (integer division).\n</reasoning>\nFinal Answer: 0"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 3 + 22 ** 2 - 18"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 22²=484, then 3+484-18=469.\n</reasoning>\nFinal Answer: 469"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "An item costs ₹4209. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4209 × 5/100 = 210.45. Total = 4209 + 210.45 = 4419.45.\n</reasoning>\nFinal Answer: 4419.45"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Increase 144 by 12%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 12%: 144 × (1 + 12/100) = 144 × 1.12 = 161.28.\n</reasoning>\nFinal Answer: 161.28"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Increase 181 by 70%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 70%: 181 × (1 + 70/100) = 181 × 1.7 = 307.7.\n</reasoning>\nFinal Answer: 307.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -476 ÷ 847"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -476 by 847. -476 ÷ 847 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "An item costs ₹4388. If sales tax is 5%, what is the total price?"
},
{
"role": "assistant",
"content": "<reasoning>\nTax amount = 4388 × 5/100 = 219.4. Total = 4388 + 219.4 = 4607.4.\n</reasoning>\nFinal Answer: 4607.4"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 9x + -13 = 95"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -13 from both sides: 9x = 108. Divide by 9: x = 12.\n</reasoning>\nFinal Answer: 12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Ravi has 52 apples and buys 191 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 52 + 191 = 243.\n</reasoning>\nFinal Answer: 243"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [35, 52, 69, 86, 103]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 35 and common difference 17. Next term = 103 + 17 = 120.\n</reasoning>\nFinal Answer: 120"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Simplify: 13/6 - 9/13"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 13/6 - 9/13. LCD = 78. Result = 115/78.\n</reasoning>\nFinal Answer: 115/78"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 1x + 22 = 26"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 22 from both sides: 1x = 4. Divide by 1: x = 4.\n</reasoning>\nFinal Answer: 4"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 6 and width 69."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 6 × 69 = 414.\n</reasoning>\nFinal Answer: 414"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 33 * 45 + 1 * 27"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply first: 33×45=1485 and 1×27=27, then add: 1512.\n</reasoning>\nFinal Answer: 1512"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 872 by 90%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 90%: 872 × (1 + 90/100) = 872 × 1.9 = 1656.8.\n</reasoning>\nFinal Answer: 1656.8"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 36 and common difference 18, find the 16th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 36 + (16-1)×18 = 36 + 270 = 306.\n</reasoning>\nFinal Answer: 306"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 47, 7 and height 42."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (47+7) × 42 = 1134.0.\n</reasoning>\nFinal Answer: 1134.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Solve for x: 23x + 49 = -802"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 49 from both sides: 23x = -851. Divide by 23: x = -37.\n</reasoning>\nFinal Answer: -37"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -996 - -743"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -743 from -996: -996 - -743 = -253.\n</reasoning>\nFinal Answer: -253"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "10 workers can complete a job in 13 days. How many days will 10 workers take?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal work = 10 × 13 = 130 worker-days. New time = 130 / 10 = 13.0 days.\n</reasoning>\nFinal Answer: 13.0"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (28 + 47) * (28 - 10)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (28+47)=75, (28-10)=18, then 75×18=1350.\n</reasoning>\nFinal Answer: 1350"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Increase 444 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 60%: 444 × (1 + 60/100) = 444 × 1.6 = 710.4.\n</reasoning>\nFinal Answer: 710.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: -847 mod -275"
},
{
"role": "assistant",
"content": "<reasoning>\n-847 mod -275: -847 = -275 × 3 + -22, so remainder = -22.\n</reasoning>\nFinal Answer: -22"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 26 and common difference 15, find the 20th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 26 + (20-1)×15 = 26 + 285 = 311.\n</reasoning>\nFinal Answer: 311"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:7 and A = 25, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/7, so B = A × (7/20) = 25 × 7/20 = 8.75.\n</reasoning>\nFinal Answer: 8.75"
}
] | medium | [
"ratio",
"proportion"
] |
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