41573 + -163381891/3930. Let g = l + -127717/31440. Calculate the common denominator of 13/24 and g.
48
Let t = -11/243 + 3103/4131. What is the common denominator of 10/1037 and t?
1037
Let t = -379973/24 - -15828. Let r = -47568433502/7652511 - 3/1700558. Let l = -6218 - r. Calculate the common denominator of l and t.
72
What is the least common multiple of 32 and -169 + 214 - (-10)/(-2)?
160
Suppose 4*u - 2 = 5*u, -2*r - u = -4. Suppose -4*k - 5*c = -549, -2*k + r*c + 354 - 85 = 0. What is the smallest common multiple of k and 44?
1496
Suppose 127*j - 299150 = -183*j. What is the least common multiple of 193 and j?
965
Let h = -5847616/4345 + 6729/5. What is the common denominator of h and 25/711?
7821
Let g = 398635 + -271071859/680. Calculate the common denominator of -51/160 and g.
2720
Let d = -5083838131/1584540 + -1/316908. Let k = d - -3196. Let y = -30663/14 + 2189. What is the common denominator of y and k?
70
Let r(a) = a + 4. Let n(t) = t**2 - 12*t - 2978. Calculate the smallest common multiple of n(-49) and r(-3).
11
Let x be (10 - 46/4)/((-6)/(-8)). What is the lowest common multiple of 28 and (-3 - (x - 4)) + 3?
84
Let c = -5770297/140 + 41216. What is the common denominator of c and -99/28?
140
Let j = -1874/41 - -279935/6068. What is the common denominator of (-7 + 674/96)/((-8)/18) and j?
2368
Suppose y = 4, 3*h - y - 25 = -2*y. Let t(g) = -11*g**2 + 802*g + 106. Calculate the smallest common multiple of h and t(73).
231
What is the common denominator of (4/(-192))/((-1)/206*1) and 484/4092*10/2?
744
Suppose -35 = d - 2*d. Let x(m) = 2*m**2 + 5*m + 6. Let v be x(-3). Let t(y) = 4*y - 26. Calculate the lowest common multiple of t(v) and d.
70
Let m be ((-4)/15)/(6916/(-70)). Let x be 95505/(-189)*(-3)/(-494). Let l = x - m. Calculate the common denominator of 95/2 and l.
14
Calculate the common denominator of 41/6 and (364/343840)/(2/28).
18420
Suppose 5*x = 2*i - 1325, -2281*x = -3*i - 2283*x + 1940. Calculate the least common multiple of i and 450.
5850
What is the least common multiple of 9 + 91*26/91 and 350?
350
Let c(i) = 2*i**2 + 2*i + 4. Let b be c(0). Suppose b*d = -v + 19, -4*v + 128 = d + 2*d. Calculate the lowest common multiple of v and 135.
945
Let f = 465 + -279. Let z = -44755 + 44788. What is the least common multiple of f and z?
2046
Suppose 0*j - 1984 = -4*g + 2*j, -984 = -2*g - 3*j. What is the common denominator of 4*46/(-2392)*17*-3 and (-6)/10 - (-252)/g?
143
Let a(k) = 5*k**2 + 9*k + 2*k - 3*k - 2*k. Let n be a(-2). Let r(t) = t + 4. What is the lowest common multiple of 16 and r(n)?
48
Let a = -18081 - -578651/32. Calculate the common denominator of (-57)/9*(-27)/(-120) and a.
160
Let l(x) = -646*x + 17. Let k be l(1). Let h = -1897/3 - k. Find the common denominator of h and -31/39.
39
Let f be 2/(-5) + 26176/40 + 4. Suppose 8*b = b - f. Let p = -84 - b. What is the lowest common multiple of p and 7?
70
Let n be (-1*1)/(13/(-26)). Suppose d + 1 = 2*d - n*g, 5*d - 38 = -g. What is the lowest common multiple of (34/(-51))/((-2)/27*1) and d?
63
Suppose -1731 = -13*l + 1752 + 6007. Calculate the least common multiple of 146 and l.
730
Let t(o) = 2567*o + 169. Let w be t(-5). Let m = -228097/18 - w. Let q = -2353/528 + -59/176. Calculate the common denominator of q and m.
72
Calculate the least common multiple of 18 and ((-693)/84)/(5 - (-410)/(-80)).
198
Suppose -3*c = i - 8*c - 167, 3*i = 5*c + 431. What is the lowest common multiple of 121 and i?
1452
What is the common denominator of ((-8)/(-20))/(8856/(-13365)) and -101/4?
164
Let q = -3121 + 3131. Calculate the least common multiple of q and 94.
470
Let w = 12547/2226 - 141/53. Find the common denominator of w and -115/792.
5544
Let z(w) be the third derivative of -w**4/2 + 97*w**3/6 - 23*w**2. Calculate the least common multiple of 1 and z(8).
1
Suppose -59*n + 2912 = -27*n - 25*n. Calculate the least common multiple of 676 and n.
5408
Let f(d) = d**3 - 9*d**2 - 8*d + 13. Let k be f(9). Let p = -56 - k. What is the least common multiple of ((-90)/4)/(p/(-4)) and 3?
30
Let x(r) = -5*r + 85. Let j be x(19). Let w(o) = o + 33. Calculate the smallest common multiple of 7 and w(j).
161
Suppose 0 = -16*y + 2680 + 1080. What is the least common multiple of 235 and y?
235
What is the common denominator of -113/528 and (-19189)/79794 - 2/(-18)?
6864
Let a = -2716273961/416067979 + 7295/1117. Let q = a - -5978814895/902163514. Let c = q + 27/173. What is the common denominator of 7/6 and c?
42
Let l = 142873/11 - 12977. Let i = 643/132 - l. What is the common denominator of ((-102)/(-4))/(1152/448) and i?
12
Let r = -835 + 851. Calculate the common denominator of 69/40 and ((-202)/r)/(-3 - -9).
240
Suppose -2*v - v = -2*g - 163, -106 = -2*v + 2*g. Let z = v - 69. Calculate the lowest common multiple of z/3*9/(-36) and 2.
2
Let f be (16/(-10))/((-70)/(-25) + -3). Suppose 0 = -9*r + 11*r - f. Let x = 49 - 29. What is the least common multiple of x and r?
20
Suppose -36*t + 38*t - 2 = 0. Let n be -1 - (t + (-9051)/3015 + 1). Let z = 101533/14070 - n. Find the common denominator of z and 47/24.
168
Let z = 322 + -182. Let n = -723234 + 723360. Calculate the lowest common multiple of z and n.
1260
Let p = -4966/9 - -636215/1152. Find the common denominator of -95/64 and p.
128
Suppose 10*x = -4*a + 9*x + 500, 2*a - 240 = -3*x. What is the common denominator of 23/12 and 1623/a + 16/56?
12
Let c = -68 + 72. Suppose -2*w - 2*b = -22, -25 = -9*w + c*w + 5*b. Calculate the smallest common multiple of w and 15.
120
Let x = 4/97629 - 296053/1627150. Find the common denominator of x and -11/420.
2100
Let c(z) = z - 9. Let d be c(10). What is the common denominator of -4 - (5/(-20))/((-1)/(-81)) and (-41)/((-5 + d)*-2)?
8
Suppose 4464 = -10*a + 61*a + 73*a. What is the least common multiple of 540 and a?
540
Let p be -1*(-7)/1 - (-45 - -46). Suppose -p*c + 5*c = -4. Suppose -9 = -2*g + 3*y - 2, 3*y - 5 = -c*g. What is the smallest common multiple of g and 2?
2
Suppose -7*s + 25*h + 18752 = 24*h, -s - 5*h + 2720 = 0. Calculate the lowest common multiple of 1675 and s.
13400
Let q = 17817 - 16279. Calculate the least common multiple of 22 and q.
16918
Suppose -1739 = -4*d - y - 619, 0 = 2*d - 5*y - 538. What is the smallest common multiple of d and 1395?
1395
Let w(a) = a**2 - 28*a - 69. Let t be w(38). Let y = -269 + t. Suppose 2*q - 2 = 22. What is the lowest common multiple of q and y?
84
Suppose 0 = 4*x - 582*f + 583*f - 1084, -x + f + 281 = 0. What is the smallest common multiple of x and 140?
5460
Let g = 1459 - 200. Let c = g + -4981/4. What is the common denominator of (-1)/(-2)*(-58)/4 and c?
4
Let l(u) be the second derivative of -22*u**2 + 7/6*u**3 + 0 - 21*u. Calculate the smallest common multiple of 12 and l(8).
12
Let y(f) = -8*f**2 - 2*f. Let h = -55 - -57. Let o be y(h). Find the common denominator of -37 and o/30*-4 + 2/2.
5
Let a = -13 - -17. Suppose -180 = -t - a*t. Calculate the common denominator of t and ((-9)/12)/(-1 - (-1688)/1616).
6
Find the common denominator of -35 + 43 - (-37556)/(-4676) and 25/1837.
12859
Let l(q) = q**3 - 5*q**2 - 6*q - 18. Let p be l(7). Let z = -73 - -116. Let u = z - p. Calculate the lowest common multiple of u and 15.
15
Suppose 0 = -31*k + 32508 - 6567 + 7353. Calculate the least common multiple of 33 and k.
11814
Suppose -25 = -5*w, -14*w + 284 = 4*b - 18*w. What is the least common multiple of 80 and b?
1520
Calculate the smallest common multiple of ((-3)/(18/10) - -2) + 26753/93 and 1548.
12384
What is the common denominator of 121/6888 and ((-313)/(-5634))/((-8)/906)?
6888
Suppose -2*j = -0*j - 26. Suppose 4*g - 109 + j = 0. Suppose 5*f + 101 = -6*u + 9*u, 0 = u + f - 23. Calculate the least common multiple of g and u.
216
Let i = -187 - -47. Let q = 150 + i. What is the least common multiple of ((-28)/16)/(3/(-12)) and q?
70
Find the common denominator of (-2)/10*(1928/32 + -9) and ((-26)/(-15))/((-11)/(-55)).
12
Let y(a) = a**3 + 15*a**2 + 19*a - 15. Let v be y(-15). Let o be (310/(-30))/((-2)/v). Find the common denominator of -121/6 and (-1 + 1 - -1) + o/(-217).
42
Let t be 11 - 6 - (3 - 13). Let x(w) = -6*w + 114. What is the least common multiple of 216 and x(t)?
216
What is the common denominator of 65/3