8)*12/35. Let m = n - -8217. Find the common denominator of m and -31/7.
35
Let u = -137/26 - 353/234. Let r = 52813/10 - 5289. Calculate the common denominator of u and r.
90
Suppose 0 = -5*h - 4*l + 278, -7*l = h - 8*l - 52. What is the lowest common multiple of 54 and h?
54
What is the common denominator of 40/(8000/(-165)) - (-2)/(-8) and ((-222)/56 - -1) + 0?
280
Suppose -4*g + p + 3587 = 2*p, -2*g = 4*p - 1790. Let f = g + -8989/10. What is the common denominator of -65/8 and f?
40
Let o(g) = -9*g - 52. Calculate the smallest common multiple of 10 and o(-10).
190
Let k be (-1879612)/(-879736) - (1 + -1). Let p = 2/9997 - k. Find the common denominator of p and (((-1)/3)/(-1))/((-328)/(-2583)).
88
Let z = -563/26 - 102/13. Calculate the common denominator of z and -1 + (-25)/(-20) - -2*505/200.
10
Calculate the least common multiple of 27 and -7*(-3 - 27/21).
270
Suppose 0 = 6*s + 20 + 10. Let p(k) = 2*k**2 + 11*k + 7. Calculate the smallest common multiple of ((-16)/(-10))/(2/15) and p(s).
12
Let d be 1/(-1 - 16/(-18)). Let f = -215 - -218. Calculate the least common multiple of (3 - d) + (0 - f) and 4.
36
Let f = 20773/6 + -3437. Calculate the common denominator of f and -31/185.
1110
Suppose 3*m + 19 = -5. Suppose 5*b - 22 - 38 = 0. Let w = b + m. Calculate the lowest common multiple of 18 and w.
36
Let z = -12 - -14. Find the common denominator of ((-1)/(-7))/(z/78) and -107/10.
70
Let a(g) = -g - 4. Let d be a(-4). Calculate the common denominator of ((-3)/6)/((-2779)/(-686) - 4) and d + -2 - (-99)/(-6).
10
Suppose h - 5 - 3 = 0. Let y be (-1 + 1)*2/(-6). Calculate the lowest common multiple of h and (-9)/3 + 5 + y.
8
Suppose -2*b = 3*s - 7 - 18, -2*b + 30 = 4*s. Suppose -2*m - 3*f = 13 - 60, s*f = -4*m + 95. What is the lowest common multiple of 10 and m?
50
Suppose 91*s - 6*s = 680. Suppose -6 = 2*l, -c - l - 111 = 2*c. What is the smallest common multiple of s and (6/8)/((-3)/c)?
72
Let j = 91 - 87. What is the least common multiple of 24 and j?
24
Suppose 2*k + 22 = -3*n + 64, 52 = 4*n + 4*k. What is the least common multiple of n and 6?
48
Let p(s) = -3*s**3 - 12*s**2 - 17*s + 7. What is the common denominator of 1 - (-2 + (-154)/12) and p(-3)?
6
Suppose 77*n - 29*n = 144. What is the lowest common multiple of n and 32?
96
Let n = -8264 - -82559/10. Find the common denominator of -81/230 and n.
230
Let m(w) be the first derivative of 2*w**2 - 53*w - 29. What is the least common multiple of 53 and m(15)?
371
Suppose -36285 + 4617 = 13*o. Let n = o + 56045/23. Find the common denominator of n and 79/2.
46
Suppose -4*a - s = -0*a + 69, 0 = -4*a + 5*s - 39. Let d = a + 23. Let z(b) = b**3 - 9*b**2 + 7*b + 9. What is the lowest common multiple of z(8) and d?
7
What is the common denominator of (-37)/5*(-62)/62 and -28/39?
195
Let c(r) = -r + 14. Suppose -5*i + 4*b = -292, 3*i + 0*b + 4*b = 156. What is the least common multiple of i and c(6)?
56
Let y(x) = -x**2 + 6*x - 2. Let c be y(5). Suppose r - 5 = l, 22 = -c*r + 8*r - 2*l. Calculate the smallest common multiple of 3 and r.
12
Let k(h) = 77*h - 317. What is the least common multiple of 259 and k(7)?
1554
Let z = -1431/41 + 78902/2337. Find the common denominator of -61/10 and z.
570
Let h = -30195174035 - -1649290600909037/54621. Let u = 2/2023 + h. Calculate the common denominator of u and 83/45.
135
Let f be -1*((-132896)/(-420))/(-2). Let t = f - 1086/7. Find the common denominator of t and -59/50.
150
Find the common denominator of 6/4 - ((-94)/96 + 4) and 73/80.
240
Let b(y) = y**3 - 5*y**2 - 5*y + 15. Let h be b(6). Let r = h - 11. What is the least common multiple of 8 and r?
40
Let d = 40 - 39. Suppose 2*v - 157 = 4*u + 55, -2*v - 94 = 2*u. Calculate the common denominator of u*(d + (-35)/33) and 59/5.
55
Let a(b) = -61*b - 300. Calculate the lowest common multiple of 24 and a(-6).
264
Calculate the smallest common multiple of 9 and 7 + (-1170)/170 + 166/34.
45
Let u = -61 - -58. Calculate the common denominator of 7/(-6)*(-973)/(-49) and u.
6
Let l = -1218/85 - -96164/7055. Let w = -8235/1162 + l. Calculate the common denominator of -121/12 and w.
84
Let c = 757 - 11338/15. Find the common denominator of c and 53/180.
180
Let k be 10 + -14 - (-2528)/630. Let x = -473/2520 + k. Find the common denominator of x and -23/11.
440
Let h(f) = f**2 - 11*f + 11. Let n be h(12). Suppose -n*z = -20*z - 27. Calculate the smallest common multiple of 6 and z.
18
Find the common denominator of (43/20)/(270/75) and 51/80.
720
Suppose 12 = -4*k + 92. Let d be 9/2*(0 - -2). Let j = k - d. Calculate the common denominator of j and 16.
1
Let i = -1685436 + 30317443/18. Let d = i + 1131. Find the common denominator of d and 65/18.
18
Find the common denominator of 97/16 and ((-498)/(-180))/(24/30).
48
Suppose -3*b = 9*b - 4440. What is the common denominator of 85/114 and (75/(-72) + 1)/((-5)/b)?
228
Calculate the common denominator of 67/12 - (-12)/24 and ((-2)/((-8)/(-218)))/(-3).
12
Let y = -132299/1012 - -2954/23. Calculate the common denominator of -53/4 and y.
44
Calculate the common denominator of 25/66 and -1 - (-3 + 1099/252).
396
Calculate the least common multiple of 18 and 36 + 3/5*-5.
198
Let c = 580/11 - 53. Find the common denominator of c and (-3)/2 - 102/(-8).
44
Let q = 2117 - 8427/4. Let d = -1804652/36267 + 1045/21. Let h = d - 133051/41448. Find the common denominator of h and q.
24
Let x = 3 - 55. Let h = -47 - x. Calculate the lowest common multiple of h and 23.
115
Let n(p) = 15*p + 43. What is the lowest common multiple of 8 and n(13)?
952
Let m = 14748506505/286 + -51568371. Let w = -2221/13 - m. Find the common denominator of -45/22 and w.
22
Let p = 161961/20 + -8101. Find the common denominator of p and 3/160.
160
What is the common denominator of 7 + 48/(-90)*8 and ((-394)/(-60))/1 - 1?
30
Suppose -4*q - 286 = 330. Let t be ((-360)/(-70))/((-4)/q). Calculate the common denominator of 23/5 and -12 + 12 + t/(-20).
10
Let t(s) = -6*s**3 - 6*s**2 + 12*s + 5. Calculate the lowest common multiple of t(-4) and 49.
245
Let n be 4*3/6 - 0/(-1). Suppose 1 = n*s - 15. Let f = -6 - -14. Calculate the lowest common multiple of s and f.
8
Let w be (-28)/20 + (-4)/(-10). Suppose 0 = -4*j - 12 + 36. What is the least common multiple of (10/8)/(w/(-8)) and j?
30
Let a be (-4)/(-24) - 125/(-6). Suppose -3*r + 3*i = -27, r + 3*i = -0*i + a. Let x(m) = -4*m - 4. What is the smallest common multiple of r and x(-6)?
60
Suppose -3*r = -3, -6*r + 11*r = 3*p - 49. What is the least common multiple of 48 and p?
144
Let y(c) = 2*c**2 + 16*c - 24. Suppose 45*p + 44 = 47*p. Calculate the lowest common multiple of p and y(-10).
176
Suppose 2772 - 2550 = q. What is the lowest common multiple of q and 6?
222
Let k(r) = -r**2 + 3*r + 6. Let v be k(6). Let j be 26/39*30*v. What is the smallest common multiple of 6 and 4/14 + j/(-42)?
6
Suppose 60 = -p + 7*p. Calculate the smallest common multiple of 16 and p.
80
Let c = -1/35433 - -1405595/3047238. Calculate the common denominator of c and (558/8)/((-49)/70*15).
1806
Let c be (328 + -11)*(1 + 0). Let b be 1297/(-4) + 1/(-4). Let u = c + b. What is the common denominator of u and -51/22?
22
Let k = -27262/33 - -826. Calculate the common denominator of k and -64/3.
33
Let r(l) = l**3 - 6*l**2 - l + 9. Let f be 5/8*10 - 16/64. Calculate the lowest common multiple of r(f) and 9.
9
Let l(j) = 2*j**2 + 31*j + 17. Calculate the smallest common multiple of l(-15) and 4.
4
Let w = -84 + 169. Let c = w + -75. Calculate the lowest common multiple of c and ((-6)/(-9))/(2/24).
40
Let t = -71484 + 18299881/256. What is the common denominator of t and -7/2?
256
Calculate the common denominator of (-8)/(256/(-110))*1 and 51/22.
176
What is the smallest common multiple of 4 - (1 + -1 - 0) and 20/(-7)*28/(-8)?
20
Let t = 897/10 + -462/5. Calculate the common denominator of t and -57/322.
1610
Suppose 110 = -5*n + 5. Let y = -20 - n. Calculate the lowest common multiple of y and 4.
4
Suppose 9*a - 16*a + 14 = 0. Suppose m + a*l - 5 = 0, 5*l + 4 - 9 = 0. What is the least common multiple of m and 18?
18
Let u = -546 - -597. What is the smallest common multiple of u and 12?
204
Let q = -2082 + 91649/44. Find the common denominator of 51/77 and q.
308
Suppose 0