messages listlengths 2 2 | difficulty stringclasses 3
values | tags listlengths 1 3 |
|---|---|---|
[
{
"role": "user",
"content": "84 is what percentage of 157?"
},
{
"role": "assistant",
"content": "<reasoning>\n(84/157) × 100 = 53.5032%.\n</reasoning>\nFinal Answer: 53.5032%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 20:42 and A = 32, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 20/42, so B = A × (42/20) = 32 × 42/20 = 67.2.\n</reasoning>\nFinal Answer: 67.2"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 49 mod 167"
},
{
"role": "assistant",
"content": "<reasoning>\n49 mod 167: 49 = 167 × 0 + 49, so remainder = 49.\n</reasoning>\nFinal Answer: 49"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Given A = [5, 6, 8, 18] and B = [2, 7, 10], find A symmetric diff B."
},
{
"role": "assistant",
"content": "<reasoning>\nSymmetric difference contains elements in exactly one of the sets. Result = [2, 5, 6, 7, 8, 10, 18].\n</reasoning>\nFinal Answer: [2, 5, 6, 7, 8,... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 14:37 and A = 53, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 14/37, so B = A × (37/14) = 53 × 37/14 = 140.0714.\n</reasoning>\nFinal Answer: 140.0714"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 56 km/h. How far does it travel in 6 hours and 49 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 6 + 49/60 = 6.8167 hours. Distance = speed × time = 56 × 6.8167 = 381.7333 km.\n</reasoning>\nFinal Answer: 381.7333"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (18 + 4) * (27 - 26)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (18+4)=22, (27-26)=1, then 22×1=22.\n</reasoning>\nFinal Answer: 22"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 57 and width 72."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(57+72) = 2×129 = 258.\n</reasoning>\nFinal Answer: 258"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Simplify: 18/6 - 5/8"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 18/6 - 5/8. LCD = 8. Result = 19/8.\n</reasoning>\nFinal Answer: 19/8"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 6x + -4 = 230"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -4 from both sides: 6x = 234. Divide by 6: x = 39.\n</reasoning>\nFinal Answer: 39"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Increase 279 by 30%."
},
{
"role": "assistant",
"content": "<reasoning>\nIncrease by 30%: 279 × (1 + 30/100) = 279 × 1.3 = 362.7.\n</reasoning>\nFinal Answer: 362.7"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: (34 + 43) * (42 - 31)"
},
{
"role": "assistant",
"content": "<reasoning>\nBrackets first: (34+43)=77, (42-31)=11, then 77×11=847.\n</reasoning>\nFinal Answer: 847"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: 620 + 138"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 620 and 138: 620 + 138 = 758.\n</reasoning>\nFinal Answer: 758"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 17/17 / 17/11"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (17/17) ÷ (17/11) = (17/17) × (11/17) = 11/17.\n</reasoning>\nFinal Answer: 11/17"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [67, 59, 69, 3, 1, 91]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 3, 59, 67, 69, 91]. Middle value(s) → median = 63.0.\n</reasoning>\nFinal Answer: 63.0"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "In an arithmetic progression with first term 4 and common difference 2, find the 21th term."
},
{
"role": "assistant",
"content": "<reasoning>\nnth term = a + (n-1)d = 4 + (21-1)×2 = 4 + 40 = 44.\n</reasoning>\nFinal Answer: 44"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 30x + 3 = 753"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 3 from both sides: 30x = 750. Divide by 30: x = 25.\n</reasoning>\nFinal Answer: 25"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 7/6 / 14/7"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (7/6) ÷ (14/7) = (7/6) × (7/14) = 7/12.\n</reasoning>\nFinal Answer: 7/12"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the area of a rectangle with length 18 and width 38."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = length × width = 18 × 38 = 684.\n</reasoning>\nFinal Answer: 684"
}
] | easy | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Find the median of: [2, 19, 63, 51, 50]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [2, 19, 50, 51, 63]. Middle value(s) → median = 50.\n</reasoning>\nFinal Answer: 50"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 45:35 and A = 51, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 45/35, so B = A × (35/45) = 51 × 35/45 = 39.6667.\n</reasoning>\nFinal Answer: 39.6667"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 14/7 * 4/5"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (14/7) × (4/5) = (56/35) = 8/5 after simplification.\n</reasoning>\nFinal Answer: 8/5"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 25:1 and A = 70, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 25/1, so B = A × (1/25) = 70 × 1/25 = 2.8.\n</reasoning>\nFinal Answer: 2.8"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Simplify: 2/20 * 14/2"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (2/20) × (14/2) = (28/40) = 7/10 after simplification.\n</reasoning>\nFinal Answer: 7/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Decrease 261 by 60%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 60%: 261 × (1 - 60/100) = 261 × 0.4 = 104.4.\n</reasoning>\nFinal Answer: 104.4"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 18 + 14 * 20 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nBODMAS: multiply first: 14×20=280, then 18+280-7=291.\n</reasoning>\nFinal Answer: 291"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Find the next term in the sequence: [9, 22, 35, 48, 61]"
},
{
"role": "assistant",
"content": "<reasoning>\nThis is an arithmetic sequence with first term 9 and common difference 13. Next term = 61 + 13 = 74.\n</reasoning>\nFinal Answer: 74"
}
] | medium | [
"sequences",
"arithmetic_progression"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 47 = 803"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 47 from both sides: 18x = 756. Divide by 18: x = 42.\n</reasoning>\nFinal Answer: 42"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Simplify: 6/14 - 16/12"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 6/14 - 16/12. LCD = 21. Result = -19/21.\n</reasoning>\nFinal Answer: -19/21"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 13/11 * 12/6"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply: (13/11) × (12/6) = (156/66) = 26/11 after simplification.\n</reasoning>\nFinal Answer: 26/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 2x² + (38)x + (180) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 38² - 4×2×180 = 4. √discriminant = 2. x = (-(38) ± 2) / (2×2). Solutions: x = -9 or x = -10.\n</reasoning>\nFinal Answer: x = -9 or x = -10"
... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 532 km apart. Their speeds are 100 km/h and 97 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 100+97=197 km/h. Time = 532/197 = 2.7005 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + 14 = -700"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 14 from both sides: 21x = -714. Divide by 21: x = -34.\n</reasoning>\nFinal Answer: -34"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 2x + 35 = -45"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 35 from both sides: 2x = -80. Divide by 2: x = -40.\n</reasoning>\nFinal Answer: -40"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 24x + 4 = -1100"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 4 from both sides: 24x = -1104. Divide by 24: x = -46.\n</reasoning>\nFinal Answer: -46"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the median of: [57, 1, 39, 47, 43, 62, 96]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [1, 39, 43, 47, 57, 62, 96]. Middle value(s) → median = 47.\n</reasoning>\nFinal Answer: 47"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -921 mod -443"
},
{
"role": "assistant",
"content": "<reasoning>\n-921 mod -443: -921 = -443 × 2 + -35, so remainder = -35.\n</reasoning>\nFinal Answer: -35"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 20/12 / 3/19"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (20/12) ÷ (3/19) = (20/12) × (19/3) = 95/9.\n</reasoning>\nFinal Answer: 95/9"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve for x: 16x + -15 = 513"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -15 from both sides: 16x = 528. Divide by 16: x = 33.\n</reasoning>\nFinal Answer: 33"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + 42 = 170"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 42 from both sides: 8x = 128. Divide by 8: x = 16.\n</reasoning>\nFinal Answer: 16"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 37 and height 48."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+37) × 48 = 1560.0.\n</reasoning>\nFinal Answer: 1560.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "Calculate: 150 + 507"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd 150 and 507: 150 + 507 = 657.\n</reasoning>\nFinal Answer: 657"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the LCM (Least Common Multiple) of 29 and 7."
},
{
"role": "assistant",
"content": "<reasoning>\nLCM = (a×b)/GCD = (29×7)/1 = 203.\n</reasoning>\nFinal Answer: 203"
}
] | medium | [
"number_theory",
"lcm"
] |
[
{
"role": "user",
"content": "Solve for x: 10x + -29 = -109"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -29 from both sides: 10x = -80. Divide by 10: x = -8.\n</reasoning>\nFinal Answer: -8"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -699 + -702"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -699 and -702: -699 + -702 = -1401.\n</reasoning>\nFinal Answer: -1401"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 21x + -31 = 704"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 21x = 735. Divide by 21: x = 35.\n</reasoning>\nFinal Answer: 35"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Given A = [3, 13, 14, 15, 18] and B = [2, 4, 7, 8, 14, 18, 19], find A intersection B."
},
{
"role": "assistant",
"content": "<reasoning>\nIntersection contains elements in both A and B. Result = [14, 18].\n</reasoning>\nFinal Answer: [14, 18]"
}
] | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -463 + -766"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -463 and -766: -463 + -766 = -1229.\n</reasoning>\nFinal Answer: -1229"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 988 - 947"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 947 from 988: 988 - 947 = 41.\n</reasoning>\nFinal Answer: 41"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 19:24 and A = 10, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 19/24, so B = A × (24/19) = 10 × 24/19 = 12.6316.\n</reasoning>\nFinal Answer: 12.6316"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "Calculate: 656 mod -787"
},
{
"role": "assistant",
"content": "<reasoning>\n656 mod -787: 656 = -787 × -1 + -131, so remainder = -131.\n</reasoning>\nFinal Answer: -131"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "If the ratio of A to B is 27:11 and A = 20, find B."
},
{
"role": "assistant",
"content": "<reasoning>\nA/B = 27/11, so B = A × (11/27) = 20 × 11/27 = 8.1481.\n</reasoning>\nFinal Answer: 8.1481"
}
] | medium | [
"ratio",
"proportion"
] |
[
{
"role": "user",
"content": "A train travels at 121 km/h. How far does it travel in 9 hours and 55 minutes?"
},
{
"role": "assistant",
"content": "<reasoning>\nTime = 9 + 55/60 = 9.9167 hours. Distance = speed × time = 121 × 9.9167 = 1199.9167 km.\n</reasoning>\nFinal Answer: 1199.9167"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the mean of: [29, 31, 25, 3, 63, 77, 16, 1, 39]"
},
{
"role": "assistant",
"content": "<reasoning>\nMean = sum/count = 284/9 = 31.5556.\n</reasoning>\nFinal Answer: 31.5556"
}
] | easy | [
"statistics",
"mean"
] |
[
{
"role": "user",
"content": "272 is what percentage of 421?"
},
{
"role": "assistant",
"content": "<reasoning>\n(272/421) × 100 = 64.6081%.\n</reasoning>\nFinal Answer: 64.6081%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "What is 7% of 493?"
},
{
"role": "assistant",
"content": "<reasoning>\n7% of 493 = (7/100) × 493 = 34.51.\n</reasoning>\nFinal Answer: 34.51"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the median of: [77, 97, 92, 81, 48, 98, 58, 59, 18]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [18, 48, 58, 59, 77, 81, 92, 97, 98]. Middle value(s) → median = 77.\n</reasoning>\nFinal Answer: 77"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "Calculate: -780 - 238"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 238 from -780: -780 - 238 = -1018.\n</reasoning>\nFinal Answer: -1018"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Solve for x: 15x + -47 = -182"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -47 from both sides: 15x = -135. Divide by 15: x = -9.\n</reasoning>\nFinal Answer: -9"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Decrease 481 by 100%."
},
{
"role": "assistant",
"content": "<reasoning>\nDecrease by 100%: 481 × (1 - 100/100) = 481 × 0.0 = 0.0.\n</reasoning>\nFinal Answer: 0.0"
}
] | easy | [
"percentage",
"arithmetic"
] |
[
{
"role": "user",
"content": "Find the perimeter of a rectangle with length 18 and width 95."
},
{
"role": "assistant",
"content": "<reasoning>\nPerimeter = 2(l + w) = 2(18+95) = 2×113 = 226.\n</reasoning>\nFinal Answer: 226"
}
] | easy | [
"geometry",
"perimeter"
] |
[
{
"role": "user",
"content": "Solve for x: 18x + 33 = 159"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 33 from both sides: 18x = 126. Divide by 18: x = 7.\n</reasoning>\nFinal Answer: 7"
}
] | easy | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Calculate: -527 + -110"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -527 and -110: -527 + -110 = -637.\n</reasoning>\nFinal Answer: -637"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹34854 at 20% per annum for 9 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 34854 × 20 × 9 / 100 = 62737.2.\n</reasoning>\nFinal Answer: 62737.2"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 683 km apart. Their speeds are 58 km/h and 57 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 58+57=115 km/h. Time = 683/115 = 5.9391 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Simplify: 12/12 / 11/2"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (12/12) ÷ (11/2) = (12/12) × (2/11) = 2/11.\n</reasoning>\nFinal Answer: 2/11"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 286 km apart. Their speeds are 42 km/h and 69 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 42+69=111 km/h. Time = 286/111 = 2.5766 hours.\n</reasoning>\nFinal Answer... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Find the range of: [67, 47, 57, 75, 19, 30, 46]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 75 - 19 = 56.\n</reasoning>\nFinal Answer: 56"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Given A = [2, 4, 5, 7, 10, 14] and B = [2, 7, 15, 19], find A union B."
},
{
"role": "assistant",
"content": "<reasoning>\nUnion includes all elements from both sets. Result = [2, 4, 5, 7, 10, 14, 15, 19].\n</reasoning>\nFinal Answer: [2, 4, 5, 7, 10, 14, 15, 19]"
... | medium | [
"set_theory"
] |
[
{
"role": "user",
"content": "Calculate: -497 ÷ 248"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -497 by 248. -497 ÷ 248 = -3 (integer division).\n</reasoning>\nFinal Answer: -3"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: 404 - 37"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract 37 from 404: 404 - 37 = 367.\n</reasoning>\nFinal Answer: 367"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the range of: [64, 23, 76, 53, 53, 41, 100]"
},
{
"role": "assistant",
"content": "<reasoning>\nRange = max - min = 100 - 23 = 77.\n</reasoning>\nFinal Answer: 77"
}
] | easy | [
"statistics",
"range"
] |
[
{
"role": "user",
"content": "Calculate: 798 × -515"
},
{
"role": "assistant",
"content": "<reasoning>\nMultiply 798 by -515: 798 × -515 = -410970.\n</reasoning>\nFinal Answer: -410970"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Simplify: 15/2 - 14/5"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract fractions: 15/2 - 14/5. LCD = 10. Result = 47/10.\n</reasoning>\nFinal Answer: 47/10"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Solve: 5x² + (10)x + (-120) = 0"
},
{
"role": "assistant",
"content": "<reasoning>\nUsing quadratic formula: discriminant = 10² - 4×5×-120 = 2500. √discriminant = 50. x = (-(10) ± 50) / (2×5). Solutions: x = 4 or x = -6.\n</reasoning>\nFinal Answer: x = 4 or x = -6"... | hard | [
"algebra",
"quadratic"
] |
[
{
"role": "user",
"content": "Simplify: 16/9 / 15/8"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide: (16/9) ÷ (15/8) = (16/9) × (8/15) = 128/135.\n</reasoning>\nFinal Answer: 128/135"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Simplify: 20/4 + 14/12"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd fractions: 20/4 + 14/12. Common denominator = 6. Result = 37/6.\n</reasoning>\nFinal Answer: 37/6"
}
] | medium | [
"fractions",
"arithmetic"
] |
[
{
"role": "user",
"content": "Calculate: 749 mod -139"
},
{
"role": "assistant",
"content": "<reasoning>\n749 mod -139: 749 = -139 × -6 + -85, so remainder = -85.\n</reasoning>\nFinal Answer: -85"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Ravi has 184 apples and buys 128 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 184 + 128 = 312.\n</reasoning>\nFinal Answer: 312"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Calculate: 812 mod 462"
},
{
"role": "assistant",
"content": "<reasoning>\n812 mod 462: 812 = 462 × 1 + 350, so remainder = 350.\n</reasoning>\nFinal Answer: 350"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Find the prime factorization of 412."
},
{
"role": "assistant",
"content": "<reasoning>\nDivide 412 by smallest primes repeatedly: 412 = 2 × 2 × 103.\n</reasoning>\nFinal Answer: 2 × 2 × 103"
}
] | medium | [
"number_theory",
"prime_factors"
] |
[
{
"role": "user",
"content": "Find the mode of: [98, 12, 76, 20, 86, 25, 31, 7]"
},
{
"role": "assistant",
"content": "<reasoning>\nCount frequencies: {98: 1, 12: 1, 76: 1, 20: 1, 86: 1, 25: 1, 31: 1, 7: 1}. Most frequent: [98, 12, 76, 20, 86, 25, 31, 7].\n</reasoning>\nFinal Answer: [98, 12, 76... | easy | [
"statistics",
"mode"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 41 + 44 ** 2 - 7"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 44²=1936, then 41+1936-7=1970.\n</reasoning>\nFinal Answer: 1970"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Solve for x: 8x + -31 = 177"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -31 from both sides: 8x = 208. Divide by 8: x = 26.\n</reasoning>\nFinal Answer: 26"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 140 and 199."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(140,199) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Find the median of: [75, 24, 96, 95, 92, 100, 16, 100, 20, 41]"
},
{
"role": "assistant",
"content": "<reasoning>\nSorted: [16, 20, 24, 41, 75, 92, 95, 96, 100, 100]. Middle value(s) → median = 83.5.\n</reasoning>\nFinal Answer: 83.5"
}
] | medium | [
"statistics",
"median"
] |
[
{
"role": "user",
"content": "A bag has 8 red and 6 blue balls. What is the probability of drawing a blue ball?"
},
{
"role": "assistant",
"content": "<reasoning>\nP(blue) = 6/14 = 0.4286.\n</reasoning>\nFinal Answer: 0.4286"
}
] | easy | [
"probability"
] |
[
{
"role": "user",
"content": "Calculate: -195 ÷ 297"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -195 by 297. -195 ÷ 297 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -749 ÷ 770"
},
{
"role": "assistant",
"content": "<reasoning>\nDivide -749 by 770. -749 ÷ 770 = -1 (integer division).\n</reasoning>\nFinal Answer: -1"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate simple interest on a principal of ₹31156 at 14% per annum for 1 years."
},
{
"role": "assistant",
"content": "<reasoning>\nSI = P × R × T / 100 = 31156 × 14 × 1 / 100 = 4361.84.\n</reasoning>\nFinal Answer: 4361.84"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Ravi has 83 apples and buys 169 more. How many apples does he have now?"
},
{
"role": "assistant",
"content": "<reasoning>\nTotal = 83 + 169 = 252.\n</reasoning>\nFinal Answer: 252"
}
] | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Two trains start towards each other from stations 999 km apart. Their speeds are 103 km/h and 70 km/h. When will they meet?"
},
{
"role": "assistant",
"content": "<reasoning>\nCombined speed = 103+70=173 km/h. Time = 999/173 = 5.7746 hours.\n</reasoning>\nFinal Answ... | medium | [
"word_problem",
"applied_math"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -21 = -285"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -21 from both sides: 22x = -264. Divide by 22: x = -12.\n</reasoning>\nFinal Answer: -12"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the area of a trapezoid with parallel sides 28, 13 and height 16."
},
{
"role": "assistant",
"content": "<reasoning>\nArea = (1/2) × (a + b) × h = 0.5 × (28+13) × 16 = 328.0.\n</reasoning>\nFinal Answer: 328.0"
}
] | medium | [
"geometry",
"area"
] |
[
{
"role": "user",
"content": "94 is what percentage of 96?"
},
{
"role": "assistant",
"content": "<reasoning>\n(94/96) × 100 = 97.9167%.\n</reasoning>\nFinal Answer: 97.9167%"
}
] | medium | [
"percentage",
"ratio"
] |
[
{
"role": "user",
"content": "Solve for x: 22x + -39 = -545"
},
{
"role": "assistant",
"content": "<reasoning>\nSubtract -39 from both sides: 22x = -506. Divide by 22: x = -23.\n</reasoning>\nFinal Answer: -23"
}
] | medium | [
"algebra",
"linear_equation"
] |
[
{
"role": "user",
"content": "Find the GCD (Greatest Common Divisor) of 13 and 11."
},
{
"role": "assistant",
"content": "<reasoning>\nUsing Euclidean algorithm: GCD(13,11) = 1.\n</reasoning>\nFinal Answer: 1"
}
] | medium | [
"number_theory",
"gcd"
] |
[
{
"role": "user",
"content": "Evaluate using order of operations: 34 + 37 ** 2 - 11"
},
{
"role": "assistant",
"content": "<reasoning>\nExponent first: 37²=1369, then 34+1369-11=1392.\n</reasoning>\nFinal Answer: 1392"
}
] | medium | [
"bodmas",
"order_of_operations"
] |
[
{
"role": "user",
"content": "Calculate: -22 + -972"
},
{
"role": "assistant",
"content": "<reasoning>\nAdd -22 and -972: -22 + -972 = -994.\n</reasoning>\nFinal Answer: -994"
}
] | medium | [
"arithmetic",
"computation"
] |
[
{
"role": "user",
"content": "Calculate: -890 mod 493"
},
{
"role": "assistant",
"content": "<reasoning>\n-890 mod 493: -890 = 493 × -2 + 96, so remainder = 96.\n</reasoning>\nFinal Answer: 96"
}
] | medium | [
"arithmetic",
"computation"
] |
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