. Calculate the least common multiple of 11 and 5/(110/g) - (-2)/(-11).
11
Let t = -18/1345 + 1358828/28245. Let o = -332/7 + t. Calculate the common denominator of o and 95/46.
138
Let r(h) = 14*h**2 + 8*h + 20. What is the least common multiple of r(-2) and 140?
420
Let w be (1719/6)/(2 + (-28)/16). What is the common denominator of w/189 - (-10)/45 and -69/56?
56
Find the common denominator of (0 - 3/(-4))/(61074/131196) and 26/248*20/(-6).
558
Let l(b) be the second derivative of 14*b - 10*b**2 + 0 + 2/3*b**3. Calculate the least common multiple of 10 and l(9).
80
Suppose -617 = 129*k + 802. Let s(f) be the second derivative of -f**4/12 - 7*f**3/3 - 23*f**2/2 + 2*f. Calculate the lowest common multiple of s(k) and 46.
230
Let d = -329153/16287369 + 6/25019. Calculate the common denominator of -59/77 and d.
7161
Suppose -m = -5, 42*t - 3*m = 43*t - 179. Let k = 88 - 82. What is the lowest common multiple of t and k?
492
Let k(o) = o**2 + 31*o - 12. Let r be k(-25). What is the lowest common multiple of 3/(-6) + r/(-4) and 35?
280
Let k(w) be the second derivative of 69*w**5/20 - 5*w**4/12 + w**3/2 - 21*w. Let v be k(3). Find the common denominator of 31/20 and 2/4 + (v/(-24))/(-7).
40
Let w = -12996017/24 + 541334. Let k(h) = 7*h**2 + 58*h - 433. Let z be k(6). Let n = w + z. What is the common denominator of -115/12 and n?
24
Suppose -2*n - 24 = -r, 4*r + n - 72 = 3*n. Suppose 0 = -4*a + 2*d + 530, -d + 1500 = 4*a + 949. Calculate the smallest common multiple of a and r.
272
Let j = 7/68559 - 5008349/34690854. Calculate the common denominator of j and 155/414.
4554
Suppose 29*k - 140 - 24 = 39. Let z = -6 + 8. Calculate the least common multiple of z and k.
14
Let h(t) = t**3 - 17*t**2 + 15*t + 51. Let x be h(16). Calculate the lowest common multiple of (20/25)/(2/x) and 38.
266
Let x = 13 + -11. Calculate the lowest common multiple of 20 - (3 + x + -5) and ((-168)/70)/((-6)/40).
80
Suppose 1025*r - 1008*r = 34. Suppose k - 367 = -k + 5*n, 3*k - 4*n - 554 = 0. Calculate the lowest common multiple of k and r.
186
Let o(n) = -22*n + 1678. What is the smallest common multiple of 108 and o(25)?
10152
Suppose -133 = -5*r + 10*r - 193. Let q = 0 - -4. What is the lowest common multiple of ((-11)/q)/(2/(-8)) and r?
132
Let d(w) = 6 - 4 + 23*w - 5 + 5. Let s be d(-1). Calculate the lowest common multiple of 3 and (s/35)/(2/(-30)).
9
Calculate the common denominator of -31/1204 and (138/(-324)*3)/(105/(-45)).
3612
Let q = 6081/152 - 40. Find the common denominator of (21/18)/((-264)/(-36)) and q.
1672
Let w = 16496/19 + -4550141/5244. Find the common denominator of w and 47/621.
2484
Let s = 4476 - 704. Calculate the least common multiple of 12 and s.
11316
Let l = 22/7 - -333/70. Let q = 70024 - 7982791/114. What is the common denominator of q and l?
570
Let n = 109 - 95. Let o(d) = -d**2 + 4*d + 3. Let b be o(5). Let q = 12 + b. Calculate the smallest common multiple of n and q.
70
Let p = 325 - 429. Calculate the common denominator of -17/882 and 1/((-40)/(-186)) - (107 + p).
8820
Suppose -g - 3*x + 7 = 0, 5*x = 136*g - 141*g + 35. Let s = -164 + 448. Calculate the smallest common multiple of s and g.
1988
Suppose 2*u = -3*o - 1 - 2, -4*o - 3*u = 4. Let l be (-7411305)/100*o/(-24456). Let g = l - 4/5095. What is the common denominator of g and -1/24?
96
Let y(d) = -3*d**3 - 23*d**2 + 20*d + 5. Let z be y(-8). Calculate the least common multiple of (-304)/(-52) + (-14)/z and 227.
1362
Suppose -5*r = -10, 200 = 5*s - 5*r + 45. Let l(k) = -50*k**3 + 1. Calculate the smallest common multiple of s and l(-1).
561
Suppose -19 = -5*v - 2*t + 9, 5*t = -5. Suppose 279 = -79*w + 82*w. Let f = -13 + w. What is the lowest common multiple of v and f?
240
Let w = -5949/4 - -1500. Let z = -2280159727/36685 + 1802528/29. Let m = z + 1/230. What is the common denominator of w and m?
44
Let j(l) = -233*l + 1201. Suppose -4*o + 5*o - 1 = 0. Calculate the smallest common multiple of -22*(0 - o)*1 and j(5).
396
Let w = 3041995/391 + -7780. Let l = 22979/2346 + w. Let t = -15739/450 + 948/25. Find the common denominator of t and l.
18
Let v = -3862 - -4186. What is the smallest common multiple of v and 180?
1620
Let g(i) = 5*i**3 + 14*i**2 - 5*i - 29. Let z be g(15). Let y = 3904539/196 - z. Find the common denominator of y and -91/10.
980
Let d = -12664799/1440 + 8795. Calculate the common denominator of -71/1296 and d.
12960
Let q = -9 + 21. Let l = 87 + -83. Suppose 5*z - 3*i = 30, -l*i - 17 = 8*z - 7*z. Calculate the least common multiple of q and z.
12
Let t(m) = -m**2 - 4*m + 7. Let u(o) be the third derivative of o**5/60 - o**4/6 + 3*o**3/2 - 4*o**2 + 6. What is the least common multiple of t(-5) and u(-3)?
30
Suppose 3*m = 18*m + 5640. Let a = -370 - m. What is the smallest common multiple of 42 and a?
42
Let a be (-11)/((-55)/15) - 1648/(-9). Let h = -33023/180 + a. Find the common denominator of -89/100 and h.
100
Let u = -619/3 - -1255/6. Let z be (1/3)/(1/1). Let w = u - z. Calculate the common denominator of w and -101/6.
6
Suppose -390 = 2*j - 3*z, 2*j - 4*z + 5*z = -406. Let y = 1211/6 + j. Find the common denominator of y and -77/6.
6
Let h(n) = 4 - 4 + 2*n**2 + 5*n**2. Let q be h(-1). Suppose 3*c = q*c - 96. What is the lowest common multiple of c and 18?
72
Suppose -v = -2*v + 5*q + 17, -35 = -v - q. Suppose -2*y + 23 = 3*j, v = 4*y + 4*j - 20. What is the lowest common multiple of y and 8?
16
Suppose 14*u = 1067 + 67. Find the common denominator of 38/7 and (3 + 36/(-14))*69/u.
63
Let p be 6/(-5 + 2)*18. Let f = p + 84. Calculate the least common multiple of f and 24.
48
Suppose 2*a - 348 = -3*k, -96 = -4*k + 2*a + 354. What is the least common multiple of 779 and k?
4674
Suppose 3*y = 4*i + 780, -y = 47*i - 42*i - 222. What is the lowest common multiple of 66 and y?
2772
Calculate the common denominator of 89/495 and (-921)/126 + 22/2.
6930
Suppose -7*x = 10 - 38. Suppose x*z - 747 = -5*u - 263, u = -5*z + 101. What is the least common multiple of u and 112?
672
Let s = 3284801 - 39216769/12. Suppose 4*b = 5*b + 3*m - 16734, -m = -3*b + 50252. Let j = s - b. Calculate the common denominator of j and -87/88.
264
Suppose 4*w + w - a + 221 = 0, 0 = 5*a + 20. Let x be 84419/(-40) - (-18)/w. Let v = 12691/6 + x. Find the common denominator of v and -91/32.
96
Suppose 2877*x - 21 = 2874*x + 39. Calculate the lowest common multiple of x and 9920.
9920
Let t = 31/72 - 103/24. Calculate the common denominator of 4/(-6)*22/24 and t.
36
Let x = 9789061/6 + -1627119. Suppose 2*w = -w - 13224. Let o = x + w. Calculate the common denominator of 13/2 and o.
6
Let z(r) = 3204*r**3 - 3*r**2 - 2*r. Let s be z(-1). Let y be ((-2)/4)/((-28)/179308). Let d = y + s. Find the common denominator of d and -43/8.
56
Let q be 10/55 - (-291)/33. Suppose -23*h + 106 = -q. What is the lowest common multiple of 55 and h?
55
Suppose -601*b = -580*b - 882. What is the lowest common multiple of 10 and b?
210
Suppose -2*l - 3*j = -85, -j - 46 = -51. What is the least common multiple of l and 800?
5600
Suppose -57*g + 19925 + 35764 = -29127. What is the lowest common multiple of g and 72?
4464
Calculate the smallest common multiple of 20/(-24) + (-7 - -19) + 86/(-12) and 1 - (-167)/((-2)/(-2)).
168
Let t = 32 + -31. What is the common denominator of -23/18 and t - (-3)/(-99)*71?
198
Suppose -5*p = -p - 4. Let f be 0 - (0 + p - -1). What is the smallest common multiple of 5 and (20/5 + f)*1*4?
40
Let k(l) = 17*l**2 - 136*l + 6. What is the lowest common multiple of k(8) and 74?
222
Calculate the common denominator of 109/20 and (-2)/(-4)*-2 - (-37)/(-50).
100
Let x = 31861/12 - 2660. Let m = 1/255 + 337/765. Find the common denominator of m and x.
36
Let n = 33695/22 - 1531. Let f = 2255838 - 1042197769/462. Let y = 19/231 - f. Find the common denominator of y and n.
22
Suppose -4*t - 2*l = -132, -5*l = -3*l + 12. What is the smallest common multiple of 99 and t?
396
Let w be (-12041829)/4693215*(-3)/(-18). Let i = w - -1/21578. What is the common denominator of i and 49/55?
1595
Let c = -251 + 254. Suppose 0 = -o + c*o - 3*v - 150, 4*o + 2*v = 332. Calculate the lowest common multiple of 24 and o.
648
Suppose -13090 = -25621*o + 25604*o. What is the least common multiple of 30 a