. Let n = -8666 + i. Let b = 122991/10 - n. Find the common denominator of -11/10 and b.
10
Suppose 14*o + 4*r = -0*r + 16828, 5*o - 4*r = 5972. Calculate the lowest common multiple of o and 275.
13200
Let y = 6 + -2. Let o = 1389 + -1382. Suppose -35 + o = -y*x. Calculate the least common multiple of 3 and x.
21
Suppose -7801 = 8*s - 17*s + 3935. Calculate the lowest common multiple of s and 28.
9128
Let p = -119 + 136. Let v = p + -43. Calculate the common denominator of (86/(-42) - -2)/(v/2769) and -107/6.
42
Let f = -673/7000 + -17/125. Find the common denominator of 27/35 and f.
280
Let m be (-780)/((-8)/(-2)) + -5. What is the common denominator of 70/33 and -42*(-8)/m*(-4)/(-18)?
825
Suppose -102 = -29*x + 26*x. Let v = x - 22. Suppose -2*s + 0 + v = 0. What is the least common multiple of s and 33?
66
Let z(b) = 12 + 0*b + 2*b**2 - 5*b + 10 - b**2 - 10. Let h be ((-1)/(-2))/((-2)/(-24)). Calculate the lowest common multiple of z(h) and 22.
198
Let j = 40 + -25. Let b(n) = 12 + n**3 + 6*n + 3*n**2 - 9*n**2 + 0. Calculate the least common multiple of j and b(3).
15
Suppose 30*y + 6891 = 7071. Let f(v) = 3*v + 36. Calculate the smallest common multiple of f(10) and y.
66
Let k = -2031/4 - -18127/36. Calculate the common denominator of k and 29/450.
450
Suppose 0 = -27*a - 111922 - 11171. Let z = -662600607/146084 - -26/36521. Let g = z - a. Find the common denominator of g and -101/18.
36
Let s(q) be the third derivative of q**5/60 - 5*q**4/12 + 23*q**3/3 + 163*q**2. What is the least common multiple of 82 and s(6)?
902
Let w = 174355 + -172088401/987. Calculate the common denominator of w and 34/129.
42441
Suppose 10*h + 20 = -20. Let n = -20 + 34. Calculate the smallest common multiple of n and (-1 - 147)/h + -3.
238
Let l = 84/13 + -56577/8762. Calculate the common denominator of -25/6 and l.
2022
Let d be 262190/(-120)*(-6)/5943. Let t = d + -65/283. What is the common denominator of -95/18 and t?
126
Suppose 0 = -28*v + 1613 + 898 + 765. What is the least common multiple of 312 and v?
936
Suppose -5 = -q - 16. Let a = 289 + -288. Calculate the least common multiple of (-13 - q)/(a/(-3)) and 5.
30
Let s = -5637/29 + 1129633/5800. Calculate the common denominator of s and -139/240.
1200
Suppose 179*k = -601*k - 142*k + 110640. What is the smallest common multiple of 7380 and k?
14760
Let j = 37286366 - 175618782911/4710. Let q = j + 5/157. Find the common denominator of 43/42 and q.
210
Let f = -60 - -64. What is the common denominator of -4/27 and (f + -3)/((-108)/516)?
27
Let h be (25/20)/(1/48). Let w be 3/h*(-118655)/(-2). Let l = -2970 + w. Calculate the common denominator of l and -93/8.
8
Let i = 845 - 731. Suppose 19*y = -0*y + i. Calculate the least common multiple of 60 and y.
60
Let v = 12954353/158 + -81989. Calculate the common denominator of v and 109/2212.
2212
Suppose -h - 4*h = -c + 11, -2*c - 4*h = 6. Let g(s) = s + 7. Let m(j) = -3. Let t(f) = 4*g(f) + 10*m(f). Calculate the lowest common multiple of t(c) and 10.
10
Let w = -502 + 1158. Suppose -5*x + 26 = 4*i, -4*x = -x - 5*i - 23. Calculate the smallest common multiple of (-1)/2 - w/(-32) and x.
60
Calculate the least common multiple of 4 - 0 - (-22 + 4) and 114.
1254
Let z be 1 + -2 + -11 + 12. Suppose z = a + b - 43, -a + 24 + 13 = -b. What is the least common multiple of a and 50?
200
Let z be 2/6 + (-297)/(-81). Suppose -516 = -z*p - 2*f, -216 = -2*p - 4*f + 36. What is the least common multiple of 10 and p?
130
Suppose -8 = -2*y + 2*n, 3*y + y - 21 = 3*n. Suppose -13*u = y*u + 572. Calculate the common denominator of 2/(-3) + (-40)/66 and u.
11
Let r(k) = 10*k + 62. Let c be r(-6). Suppose -c*j + 64 = -10*j. What is the common denominator of -65/8 and (j/(-14) + 0)/((-180)/238)?
360
Suppose -90 = c + 2*c + 3*p, c - 3*p = -30. Find the common denominator of 2 + 2 + (1572/(-56))/3 and 23/(-5)*75/c.
14
Suppose 61*i - 1688 = 69*i. Let q = i + 218. Calculate the smallest common multiple of q and 21.
21
Suppose z = -b + 1 + 4, 3*z - 25 = -5*b. Let c(x) = -x. Let m(s) = -s**2 + 8*s - 1. Let p(f) = -c(f) - m(f). What is the smallest common multiple of p(7) and b?
5
Let u = 5003286/22609 - 5090/23. Let x = u + -12507/33422. What is the common denominator of x and -13/12?
204
Let p(r) = -2*r**2 - 6*r - 4. Let v be p(-10). Find the common denominator of -37/18 and 4 - (-2 + (-1460)/v).
36
Let z be (-5 - 0)*-1 + 768/6. Calculate the least common multiple of 14 and (164/(-14) + 12)*(0 + z).
266
Let d(z) = -4*z - 2. Suppose 0 = -q - c, 5*c - 6 + 0 = -3*q. What is the least common multiple of ((-5)/(-4))/((-11)/(-88)) and d(q)?
10
Suppose l = -3*a + 30520 - 4199, a - 8770 = -4*l. Let j = a - 87667/10. What is the common denominator of j and -103/10?
10
Let o = 26748/253721 + 8260157467157/47192106. Let n = 175032 - o. What is the common denominator of -103/14 and n?
1302
Suppose 3*n + 12 = -3*x + 3, -3*n = 2*x + 10. Let b be ((-315)/(-25) - x) + (-4)/(-10). Find the common denominator of (-8)/(-108)*(-57)/b and 61/10.
270
Let j(k) = k**2 - 79*k - 1718. Calculate the least common multiple of 144 and j(-19).
144
What is the lowest common multiple of 1 and (0 + 74)*54172/232?
17279
Suppose -5*m = 2*u - 108, 5*m - 5*u = 12 + 103. Suppose -4*k = k - 400. Calculate the lowest common multiple of m and k.
880
Let i = -1678/5 + 30839/90. Let r(x) = x**2 - 13*x - 3. Let h be r(-12). What is the common denominator of 2556/h + (-17 - -8) and i?
198
Let g be ((-193119)/(-4))/(-17 + 20). Let x = g + -1478677/92. Let f = x - 1/138. Calculate the common denominator of f and -28/5.
15
Let r(q) = -2*q**2 - q + 4. Let i be r(-2). Let u = 15598/23 + -678. Calculate the common denominator of u and (i/20)/((-35)/(-1610)).
115
Let z(s) = -171*s - 237. Let m be z(21). Find the common denominator of -79/30 and 6409/m - (1 + (-10)/6).
660
Let s be (-14747)/6 - 2/(-6). Let c = s + 2409. Find the common denominator of c and 77/8.
8
Suppose -3*g + 8 = -1. Suppose 0 = -5*u + g*u + 16. Suppose -85 = -5*n + 6*x + 15, 40 = 2*n + 2*x. What is the least common multiple of n and u?
40
Let k = 10/931 - 34627/16758. Find the common denominator of k and -95/14.
126
Suppose 0 = -5*q + 5*j + 55, 3*j = -3*q - 0*j + 3. Let t = 155 + -154. Calculate the lowest common multiple of q and t.
6
Let n be 5 + 1/1 + 224/(-56). What is the common denominator of (-30 - (0 - 1))/10 and 123/205 - (n - (-83)/(-20))?
20
What is the common denominator of 103/648 and (-6)/8 + 0 - (56143/4140 + -15)?
3240
Find the common denominator of (3/(-98))/(1080/(-32970)) and -68/105.
840
Let r be 3165557/(-270) + 54/(-810). Let t = r - -11723. Find the common denominator of 55/144 and t.
432
Let b be 2 - (-1)/(-4 + 5). Let r(t) = 0*t + t**2 - 5*t**2 + 2*t**3 + 4*t - 1. Calculate the smallest common multiple of 7 and r(b).
203
Let z = 25717/5 + -5137. Let g = -1421/6 + 223. Find the common denominator of g and z.
30
Let p = 1413/3388 - -144/121. Find the common denominator of p and -109/52.
364
Let d = 10821 - 10209. What is the least common multiple of d and 78?
7956
Suppose 21*i - 12816 = 20*i - 17*i. What is the lowest common multiple of i and 80?
7120
Suppose -4*w + 2 = -3*d, 4*d - 29 = 3*w - 4*w. Suppose -27 = d*a - 9. Find the common denominator of 72/27 + a/(-24) and -70/33.
264
Suppose -97*s + 56746 = -80369 - 62705. What is the smallest common multiple of 20 and s?
2060
Let a be (-7 - (-17)/3)*3*-171. Let y = -649 + a. Calculate the smallest common multiple of 30 and y.
210
Let r be 1 + (-201270)/(-70576) + (-90)/(-240). Let l = 2/4411 + r. Find the common denominator of (1 - (-49)/2)*1 and l.
22
Suppose 4*h = -2*y + 148, y - 4*y = -3*h - 267. What is the smallest common multiple of 192 and y?
1344
What is the common denominator of 10/287 and 10*(-18)/1120 - (-2)/4?
2296
Let z = -286957631/556 + 516111. Calculate the common denominator of z and -1/14.
3892
Suppose 0 = 2*s + 3*g - 43 - 10, -5*s + 104 = -2*g. What is the least common multiple of s and 2134?
2134
What is the common denominator of (-1 - 0) + ((-3)/594*1509)/(-7) and -25/231?
462
Suppose -99 = -18*z + 7*z. Let q = 11 - z. Suppose -2*r - q - 2 = -4*x, -2*x = -3*r + 6. Calculate the smallest common multiple of 11 and r.
44
Let f(i) = -i**2 + 16. Let q be f(-2). Suppose -q