
Suppose -221*p + 9132 = 1076 - 18464. What is the lowest common multiple of p and 582?
11640
Let s(b) = -18*b + 7. Let o be s(-8). Suppose 5*h - 3*r + o = -0*r, -76 = 2*h + 4*r. Find the common denominator of h and 134/20*(-10)/72*9 + 2.
8
Let d be (2/(-8))/(2/(-16)). Let s be (6/(-3) - -17)/(d/6). Calculate the lowest common multiple of ((-36)/45)/((-3)/s) and 9.
36
Suppose 0 = -14*j + 409 - 143. Find the common denominator of -4/75 and 1*-5 - (-99)/220*j.
300
Let q be (35/(-10) + -4)*28/(-6). Let r = 40 - q. Suppose -5*t + r = -0*t. Calculate the lowest common multiple of t and 2.
2
Find the common denominator of (-294)/(-12740) + 3 + (-70)/25 and -23/1170.
1170
Suppose -29*l + 31*l = 204. Let k = l + -100. What is the smallest common multiple of 20 and k?
20
Calculate the common denominator of -99/12040 and 40 - (-17914)/(-364) - (-1 - 10).
12040
Calculate the common denominator of 59*(-11 + (-13360)/(-1215)) and -131/270.
2430
Let c = -36290 + 36317. What is the smallest common multiple of 285 and c?
2565
Let w = 35899783/180 - 199444. Calculate the common denominator of -91/90 and w.
180
Calculate the common denominator of ((-17)/((-2448)/894))/((-75)/(-20)) and 173/630.
630
Suppose 10*b = 5*j + 9*b - 30, 0 = -j - b + 6. Calculate the least common multiple of 939 and j.
1878
Find the common denominator of 650/(-6)*2/1405*(-9)/48 and -73/20.
11240
Let o be (-544)/(-22832) - (-1 - -1). Let q = o - 8654857/4281. Let h = -2043 - q. What is the common denominator of -43/3 and h?
3
Let t = -4734 + 4754. What is the smallest common multiple of t and 3510?
7020
Let f(b) = 165*b**2 + b - 14. What is the lowest common multiple of f(-3) and 16?
5872
Let h = 338395/17789672 + 3/204010. Calculate the common denominator of h and -53/20.
4360
Let b(n) = 3*n**2 - 6*n + 13. Let p(r) = -4 - 14 + 4 + 7*r + 43*r**2 - 47*r**2. Let d(c) = -7*b(c) - 6*p(c). Calculate the least common multiple of 16 and d(3).
80
Let m be (0 - 1)*(-1251)/(-18)*-2. Let w = -124 + m. Suppose -5*r + 20 = -r. Calculate the least common multiple of r and w.
15
Let t = -13757/2 + 6925. What is the common denominator of -117/560 and t?
560
Let p = 191 + -75. Suppose -g = 3*k - 83, 0 = -4*k + 3*g + g + p. Calculate the smallest common multiple of 14 and k/182 + (-492)/(-13).
266
Calculate the common denominator of -131/140 and (12 - (12 + -1)) + (-62)/1848 + -1.
4620
Suppose -258*x + 69*x + 221130 = 0. What is the smallest common multiple of x and 1170?
1170
Let b(h) = -35*h - 220. Let y be b(-23). Calculate the common denominator of 11/9 and (-2)/(-6) - 490/y.
117
Let r = 171067/77625 + -1/17250. Let y = 2338 - 140261/60. Calculate the common denominator of r and y.
540
Let j = 106531/7694964 + 280/5777. Find the common denominator of j and 19/1110.
6660
Let j = 140269/5 - 27942. Suppose 84*w = -52*w + 15096. Let f = j - w. Calculate the common denominator of f and -123/40.
40
Let z = 20/3203 + -122171/586149. Calculate the common denominator of 37/27 and z.
1647
Let g be (-305)/14*8/10. Let v = 10081 + -212032/21. Let u = v - g. What is the common denominator of u and -1/15?
15
Let n = 1557/2 + -749. Let i(a) = -a - 55. Suppose 0 = -9*r + 35*r + 260. Calculate the common denominator of i(r) and n.
2
Let g(p) = 17*p + 2. Let z be 1*(-12)/(-8)*(-10)/(-3). Suppose 4*v + 4*c = 56, -2 + 4 = -v - z*c. Calculate the lowest common multiple of g(2) and v.
36
Suppose -28*m + 1289 + 12683 = 0. Suppose f = -5*d + m, -4*d + 60 + 337 = 3*f. What is the smallest common multiple of 100 and d?
100
Suppose -5*m = -m + 10232. Let i = m - -30583/12. Calculate the common denominator of (35/6)/(2/6*-9) and i.
36
Let b(a) = a**2 - 9*a - 9. Let t(g) = -g**2 - 5*g + 6. Let l be t(-4). Let y be b(l). What is the lowest common multiple of 24 and ((-3)/9)/(-2*y/12)?
24
Let j(w) = w**3 - 7*w**2 + 6*w - 18. Let k(p) = -p**3 + 5*p**2 + 12*p - 29. Let q be k(6). Calculate the least common multiple of j(q) and 6.
24
Let a be 242/33 - (10/3 - 4). Let x = a - 151/17. Calculate the common denominator of x and -23/12.
204
Let o be 16/168 - (1592/(-42) - -2). Suppose -3*g + 40*a = o*a - 52, -5*g + 56 = a. Calculate the lowest common multiple of g and 288.
288
Let j = 708704 + -997855337/1408. What is the common denominator of j and 7/320?
7040
Suppose 25*i = -13*i - 579310. Let m = -274561/18 - i. Calculate the common denominator of m and 46/5*(-1)/(-4).
90
Let m(x) = -x + 2. Let o be m(-10). Suppose -f - 5*f = -o. Suppose -f*h + 15 + 22 = 5*r, -5*r + 57 = -3*h. What is the least common multiple of 8 and r?
72
What is the smallest common multiple of -1 - (102680/(-80) + (9/2 - 0)) and 568?
5112
Suppose 3 + 1 = -2*r. Suppose 1046 = 47*g - 176. Calculate the least common multiple of (-28)/(3*r/3) and g.
182
Let y be (-1)/((-6)/(-9))*(-32)/6. Let q be (-33)/12 + 3 + 22/y. Suppose -14 = -2*g + h, 5*g - q - 21 = -3*h. What is the lowest common multiple of g and 11?
66
Let b be (-52)/(-91)*(2 - -5). What is the lowest common multiple of (11 - -56)/(2/b) and 4?
268
Let m = -140114287/2811 - -49845. Let h = 81247/95574 + m. Find the common denominator of h and -87/14.
238
Let t = -316 + -335. Let b = t + 1215/2. What is the common denominator of (-95)/8*(-6)/5 and b?
4
Let w = 691099/5 + -137472. Let f = 78814/105 - w. Calculate the common denominator of f and 17/21.
21
Suppose 5*d - 1709 = 5*j - j, -5*j = -d + 325. What is the lowest common multiple of 186 and d?
21390
Let u be (-696)/(((-33)/110)/(1 + -2)). Let z = u + 16280/7. What is the common denominator of 5/8 and z?
56
Let r(b) = 13*b - 66. Let p be r(5). Calculate the lowest common multiple of 132/4 + (-1)/((-1)/p) and 24.
96
What is the common denominator of (-1935)/436 - (-493)/116 and -38/41?
8938
Let w = -910247/8 + 113458. Let g = w + 85871/264. What is the common denominator of -13/36 and g?
396
Let t be 8/(-250)*70/(-4). Let u = -37/50 - t. Find the common denominator of u and (-23)/2*3/5.
10
Let a = 675894253/792 + -853402. Calculate the common denominator of -29/27 and a.
2376
Let j(a) = -a**3 + 9*a**2 - 13*a + 12. Let t be j(7). Suppose -14*o + t = -373. Calculate the smallest common multiple of o and 60.
420
Let j = -1575/1199 - -54/109. What is the common denominator of j and -1/167?
1837
What is the common denominator of ((-22716)/(-11368) + -2)*14/((-630)/153) and -21/11?
31262
Let u = 110 + -103. Suppose -c - u = -q, 44 = 4*q - c + 1. What is the smallest common multiple of q and 60?
60
Suppose 21*z + 123 = -381. Calculate the smallest common multiple of (z/48)/(1/(-72)) and 20.
180
Suppose -23*q = 47*q - 280. Suppose 5*x = 6*x - 47. What is the smallest common multiple of x and q?
188
Let k(s) = s**2 + 22*s + 22. Let h be k(-19). Let c = h + 38. Suppose c*x - 2*j - 166 = -3*j, 2*j = -5*x + 278. Calculate the lowest common multiple of x and 6.
54
Suppose 8*i - 13*i = 25. Let k(c) = c**3 + 3*c**2 - 4*c - 4. Let f be k(i). Find the common denominator of -31/2 and ((-116)/(-48) + -2)*f/10.
12
Let y = 648/11 - 7259/132. What is the common denominator of y and 83/50?
300
Let f be 12/(-10)*9*18237/24. Let l = f - -8202. Find the common denominator of l and -13/512.
2560
Suppose 410 = 231*p - 283. Calculate the lowest common multiple of p and 3702.
3702
Let s = 217627/39 + -5582. Let y = -4843 - -14540/3. Find the common denominator of y and s.
39
Let q = -143812/306345 - -238/1571. What is the common denominator of -53/195 and q?
195
Let b(j) = j**3 - 17*j**2 + 20*j - 29. Let t be b(16). Suppose -5*q + t = -12*q. Calculate the lowest common multiple of (3 + 17/q)/(9/(-180)) and 2.
8
Let s(a) = -a**3 - a**2 + a + 10. Let b be s(0). Suppose 3*f - 1 = 8. Suppose -153 = -b*p - f. What is the least common multiple of 3 and p?
15
What is the least common multiple of (-50)/(-325) - 360/(-26) and 11/(1/1) + 1 + 0?
84
Let l be 7*((-54)/(-21))/3. Suppose 11*k - 70 = l*k. Let o = k + -4. Calculate the least common multiple of o and 28.
140
Let f(i) = -13*i**3 + i**2 - 3*i + 2. Let b be f(1). Calculate the common denominator of b/8 + 2/(-1 + -1) and 75/22.
88
Let a = 1645/522 - 112/261. Calculate the common denominator of 37/78 and a.
234
Let p = -13689/8 + 1699. Let s = -48 + 50. What is the common denominator of ((-1)/(-11))/(0 + s/46) and p?
88
Let y = -1862424263/3