. Find the common denominator of -121/18 and n.
198
Let z be -5*((-34)/(-10) + -3). Let d be (40/2)/(z/(-9)). Find the common denominator of (-755)/d - (-3 - -1) and -53/66.
198
Let z be 30/325*(-115)/(-32). Let n = 311/52 + z. Find the common denominator of -43/256 and n.
256
Let r = 143 - 69. Let g = r - 62. Find the common denominator of -56/3 and 466/(-72) - (-3)/g.
9
Suppose -5*q + 435 = -4*g - g, -g - 3*q = 103. Let t = -90 - g. What is the least common multiple of 20 and 472/18 - (-4)/(-18)*t?
260
Suppose -2*w + 749 - 13 = 0. Let k = w + -346. Calculate the smallest common multiple of 142 and k.
1562
Let i = -64 - -67. Calculate the smallest common multiple of 18 and -18*45/20*(-4)/i.
54
Let h = -3505393/135 + 129824/5. Let d = -157337/135 + 1166. Calculate the common denominator of h and d.
135
Suppose -5*c + 27*u = 34*u - 200, -4*c + 5*u = -107. Calculate the least common multiple of 5442 and c.
59862
Suppose -4*c + 176 = -s, -4*c + 0*s = -3*s - 168. Calculate the smallest common multiple of ((-16)/(-32)*-50)/((-3)/6) and c.
450
Let p = 328505138844 + -4267939880577/13. Let r = p - 49533289241421/245128. Let c = r - 3/2357. Find the common denominator of c and -21/8.
8
Let k = 2237615/11245746 - 3/60461. What is the common denominator of k and ((-4)/88)/(6/(-92))?
2046
What is the common denominator of -32/385 and (-593)/140 + (-6*28/(-24) - 3)?
1540
Calculate the common denominator of (-3 - -1) + 1 + 42902/46284 and 97/522.
3654
Let w(y) = -y**2 - 25*y - 10. Let f be w(-24). Suppose f*z = 25 + 3. What is the least common multiple of 16 and z?
16
Let z be ((-2)/3)/(19/(-3591)). Suppose 0 = -65*n + 67*n - z. Calculate the lowest common multiple of n and 7.
63
Let r be 30/10 + (-9612)/1245. Let v = r + 10/83. What is the common denominator of -62/55 and v?
55
Suppose 685 = 59*a + 95. Calculate the smallest common multiple of 120 and a.
120
Let y be (-6)/((-346)/68 + 5). Suppose -6*x + y = -112. Let o(v) = -v**2 + 8*v + 3. Calculate the smallest common multiple of o(6) and x.
30
Suppose -79 = -5*c + 401. Find the common denominator of 15/(-25) + 9/165 and 1 - -9*(-4)/(c/(-27)).
88
Suppose -2*z - 28 = -4*m + 7*m, -5*m - 48 = 2*z. Let f(k) = -k**3 - 7*k**2 + 23*k + 23. What is the smallest common multiple of f(m) and 6?
186
Let r = -1579/149592 - 2891291681/150938328. Let h = r + -2/3027. Calculate the common denominator of h and -67/404.
1212
Let u = 112 + -107. Let w be (1*8/(-12))/(u/105). What is the common denominator of (2*(-2)/w)/(5/(-85)) and -7?
7
Let c(f) be the second derivative of -f**4/12 + 4*f**3 - 59*f**2/2 + 6*f - 3. What is the least common multiple of c(17) and 33?
660
Calculate the common denominator of -161/2262 and (53/((-477)/38))/15.
101790
Let u be (-21712)/10 + (0 - 1). Let t = 2184 + u. Calculate the common denominator of t and (3/90)/(12/2136).
15
Let v be ((-7 - -4) + -52)/((-1)/(-4)). Let g be 1584/v*(106/(-4) - 1). Find the common denominator of (62/(-93))/((-800)/g) and -57/4.
200
Let b be (7/420)/(80/(-23955526884)). Let o = 4990731 + b. Let m = 43/16 + o. What is the common denominator of m and 37/3?
75
Let u(t) = t**3 + 6*t**2 + 6*t + 1. What is the lowest common multiple of u(-3) and (2 + -1)*(8 + -3 + 4)?
90
Let u = -1592813/162 + 9832. Find the common denominator of u and 107/594.
1782
Suppose 39*z - 44*z = -10. Suppose 3*c = 5*a - 20 - 0, 11 = -z*a + 5*c. Calculate the smallest common multiple of a and 28.
28
What is the common denominator of (-250)/144*(322/(-23) - 38/(-3)) and 31/10?
270
Let k be 110/(-33)*(0 - (2 - 272)). Find the common denominator of -71/40 and (-1)/((-18)/2) + (-960)/k.
360
Let t = 119 + -364. Let w = 259 + t. Let l = 39 - -9. Calculate the least common multiple of l and w.
336
Let a be (-1)/(-4) + (-1084)/(-16). Let x = -28 + a. Calculate the least common multiple of (-5)/(6/(-18)*-21 - 8) and x.
40
Suppose -2280 = -5*g - 3*c + 1432, 3*g + 4*c = 2236. Calculate the common denominator of ((-4)/8)/(80/g) and -101/72.
72
Suppose -w = 5*q + 170, -13 = -4*q - 2*w - 143. Let a(f) = 2*f**2 + 70*f + 1. Calculate the lowest common multiple of 62/6 + 8/12 and a(q).
11
Let j(s) = 80*s - 3088. Calculate the smallest common multiple of j(40) and 288.
2016
Calculate the common denominator of 17 - (3 - (-76017)/5400) and -21/1000.
9000
Suppose -5*o + 1261 = -509. Let x = 361 - o. Let p(c) = 7*c - 2. What is the least common multiple of x and p(3)?
133
Let n be 16/40 - (-498)/5. Suppose n*a + 1539 = 109*a. Calculate the lowest common multiple of 8 and a.
1368
Let g = 2283479285/5804 - 393432. What is the common denominator of g and 41/12?
17412
Calculate the common denominator of (-4)/(-34) - (2218/(-4))/(87 - 4728) and 52/33.
6006
Let a be (-240)/(-24)*211118/456. Let q = 4631 - a. What is the common denominator of q and -31/18?
342
Let s = -1704 + 1759. Let v(j) = -j**2 - 27*j - 52. What is the least common multiple of s and v(-24)?
220
Let z be (-5)/(-6)*(9 + -3). Calculate the common denominator of 3654/(-84)*2/(-27) and 8/7*z/(-15).
63
Find the common denominator of -270 + 253 - 7829/(-462) and -113/448.
14784
Let m(i) = 52 + 0*i**2 + 4 - i**2 + i. Let n(t) = 196*t - 1568. Let s be n(8). Calculate the least common multiple of 5 and m(s).
280
Let n(o) = 7*o**2 + 47*o + 32. Let s(c) = 5*c**2. Let b(t) = 3*t**2 - 1. Let v be b(-1). Calculate the lowest common multiple of s(v) and n(-6).
20
Let k(y) = 78*y**2 - 30*y - 198. What is the lowest common multiple of k(-7) and 2343?
42174
Suppose 4 = 3*w + t + 1, 0 = 3*w - 5*t - 21. Let o be (0*(-4)/16)/w. Suppose -2*p + o*h = -h - 17, -5*h = -15. Calculate the lowest common multiple of p and 3.
30
Find the common denominator of (-344)/(-14) - 70/(-735) and ((12/(-135))/4)/(30/475).
54
What is the common denominator of ((-29032)/53480)/(1 + 110/(-98)) and 119/160?
480
Let q = -23 - -11. Let r = 2 - q. Let f(g) = -g - 17. Calculate the smallest common multiple of f(-31) and r.
14
Let m = 97/273 - -3/4004. What is the common denominator of 65/88 and m?
264
Let b be ((-172)/(-331656))/((-13570)/13573 + 1). Let i = 2/9567 - b. Find the common denominator of 9/(-18) + 20/22 and i.
286
Let j be (-6910)/(-6)*(1 - 4). Let m be 6/114*-2 - 1827077/(-532). Let v = m + j. What is the common denominator of v and -73/15?
60
Suppose 3*g - 68 = -5. Suppose 0 = -1268*o + 1293*o - 675. What is the smallest common multiple of o and g?
189
Let r = 62162/15 + -102442331/24720. What is the common denominator of 163/3090 and r?
24720
Let u = -5 + 8. Suppose -q = 4*m - 111, -2*q + u - 5 = 0. Suppose -61*t = 18*t + 39*t - 2596. Calculate the smallest common multiple of t and m.
308
Calculate the common denominator of -7/940 and (-6)/(-75)*(-133)/(-19).
4700
Let q = 87 - 93. What is the common denominator of 47/50 and (376/(-420))/(q/(-9))?
350
Suppose 5*v - 3*n = -5*n + 832, 4*v - 4*n - 688 = 0. What is the smallest common multiple of (-54)/9 + 200/10 and v?
168
What is the lowest common multiple of 8 and (1158/772)/(3*(-2)/(-12568))?
12568
Let p(l) = -2*l + 16. Let n be p(4). Suppose -n*m - 651 = -843. Calculate the smallest common multiple of 36 and m.
72
Let h = -100606571/16 + 6279599. Suppose -16621 = 2*l - 5*c, 0*l + 2*c = -2*l - 16614. Let z = l - h. What is the common denominator of z and 75/16?
16
Suppose -u + b + 16 = 0, -54 = -5*u + 3*b + 18. Let f be (-1 - -1) + -10 + 2. What is the lowest common multiple of (4/(-5))/(16/40) - f and u?
12
Suppose -4*o + 4*b = 1244 - 432, -b = -5. Find the common denominator of 2/(-11) - 586/o and -1/93.
279
Suppose 5*l + 53 = -g - 0*g, -2*g + 3*l = 119. Let y = g + 70. Calculate the least common multiple of 4 and y.
12
Let o(s) = -s**3 + 4*s**2 - s - 2. Calculate the smallest common multiple of (-1)/(-9) - (-6100)/180 and o(3).
68
Let f(p) = p**3 + 11*p**2 + 10*p - 2. Let x be f(-10). Let a be 75/x*(-2)/(-20)*24. What is the common denominator of 1 + (-14)/5*a/(-16) and 109/18?
36
Let n = -23421/1558 - -284/19. Let u be (69/(-2))/((-741)/(-4) - 6). Let q = -11545/3346 + u. What is the common denominator of q and n?
574
Suppose -5*x + 1419 = -u, -3*u - 2574 = -10*x + 258. What is the smallest common multiple of x and 285?
285
Let q = -711 - -1391. Calculate the lowest common multiple of 20 and q.
680
Let j(s) = 17*s - 321. Le