et w be f(7). Let c = 49997/6 + w. Find the common denominator of c and 0 - ((-74)/66 - 0).
66
Let y = -100667725/686 - -146746. Find the common denominator of -20/21 and y.
2058
Suppose -5*d = 0, 0 = -0*h - 2*h - 5*d - 500. Calculate the common denominator of 615/30*(-2)/(-40) and (-23)/10 - (-25)/h.
40
Let d(f) = -7*f - 141. Let m be d(-8). Let x = m + 97. Suppose 0 = 5*b + 3*l - 1, -b + 6 = -2*l - 2. Calculate the least common multiple of x and b.
12
Find the common denominator of -68/285 and ((-86)/(-38))/(5*(-270)/81).
2850
Let s = 78 + -73. Suppose -2*f + s*f + x - 1483 = 0, 5*x - 1970 = -4*f. Find the common denominator of -5/18 and 2/((-4)/2) + f/(-144).
144
Suppose -16*d - 44284 = 68756. Let h = d + 141253/20. What is the common denominator of 4/35 and h?
140
Let s(y) = -3*y**2 - 39*y - 6. Let m be s(-12). Let u = 58 + -18. Let w = u - m. What is the smallest common multiple of 16 and w?
80
Let l be 1748/(-16) - (0 - -2). Let r = l - -6791/60. What is the common denominator of r and (155/10 - 15)/((-33)/(-94))?
165
Calculate the common denominator of -65/36 and (552/(-676) + 1)/(25/((-375)/(-18))).
6084
Suppose 5*s + 4 = 2*c, 6*s - 2*s = 0. Suppose -5*g + 6*g - 55 = 3*a, c*a + 2 = 0. Calculate the lowest common multiple of g and 44.
572
Let t be (-16)/72*-9 + 1 + 1. Suppose -t*c - 2*q = -172, 2*c = 3*q + 76 + 18. What is the smallest common multiple of 44 and c?
44
Let w = 91 + -90. Calculate the smallest common multiple of 15 and w*11/((-11)/(-20)).
60
What is the common denominator of (-62)/36611*((-308)/40)/7*-2 and -46/55?
64955
Let p = -13/881 + -6951/125983. Let b = 79/35 + -2537/910. Find the common denominator of b and p.
1430
Let q(w) = 12*w**2 - 4*w - 210. Calculate the least common multiple of q(-9) and 231.
8778
Suppose 15*k + 3*k + 828 = 0. Find the common denominator of k*2/80 - 44/66 and 2.
60
Let w be ((-3806085)/(-636))/((-208692)/(-3 + 9)). Let i = w + -2/17391. Calculate the common denominator of i and -95/18.
3816
Let p = -489411/40 - -12236. What is the common denominator of p and ((-27)/(-4))/((-3)/((-6)/35))?
280
Let x = -9946 + 10272. What is the smallest common multiple of 60 and x?
9780
Let k = 167 - 163. Let j = 51489/16 - 3215. What is the common denominator of j and 60/(-152) - k/38?
16
Let h = -7457520482 - -76693140514589/10284. Let w = h - 21/857. What is the common denominator of -31/75 and w?
300
Let p = -150 + 147. Let m = 28 - 16. What is the smallest common multiple of m and (p - 1/1)/((-4)/18)?
36
Suppose 3*p = -4*r + 122924, 3*r - 306758 = -7*p - 19929. What is the lowest common multiple of p and 6?
122928
Suppose c + 2*c + 6 = 0, 0 = -k + 4*c + 36. Let v = -260 + 314. Suppose -3*r + v = 2*i, 2*i - 38 + 48 = r. Calculate the least common multiple of k and r.
112
Let x = 143 - 133. Calculate the lowest common multiple of 4134 and x.
20670
Suppose -2*k - 536 = -a, 17*k - 12*k - 1063 = -2*a. Let n = 5353/10 - a. Calculate the common denominator of n and 47/62.
310
Suppose 9 = 5*u - 136. What is the common denominator of ((-25)/10)/(6/u) and -2 - 0 - 195/(-48)?
48
Suppose -49*f + 2224 = -48*f - 4*m, 2*f - 4427 = m. What is the lowest common multiple of 20 and f?
11060
Let w = -61546/7 - -184592/21. Let h = 109 + -176. Let i = -18 - h. Find the common denominator of i and w.
21
Suppose 2*m + 2*l + l - 7729 = 0, l = m - 3877. What is the lowest common multiple of 10 and m?
19360
Let u = 19981/46620 - -19/1332. Find the common denominator of -33/74 and u.
2590
Let v = -2172 + 2173. Let b(y) = 1159*y + 4. Let g be b(-4). What is the common denominator of 7/12 and g/(-2592) + v + (-3)/4?
108
Let r = 75 - 86. Find the common denominator of 13/(r - 15/5) and 21/4.
28
Calculate the common denominator of 74/33 and (8/(-636))/(12*(-5)/(-290)).
5247
Calculate the common denominator of ((-1854)/(-180))/(-5 + (4 - -9)) and -89/1020.
4080
Let s(h) = h**2 - 38*h + 310. Calculate the least common multiple of s(33) and 435.
435
Suppose 11*g - 126 = -5*s + 12*g, -3*s - g = -66. What is the lowest common multiple of 10 and s?
120
Let c be 138/4*(-5)/(20/(-8)). Let l = 37 - c. Calculate the common denominator of 32 and (-1208)/l - (-2)/8.
1
Let v be (-1157)/1526 - (-6 - -1). Let t = v - 3/109. Let p = -13033/5 + 2616. What is the common denominator of p and t?
70
Suppose c - 1 = 3*p + 2, -12 = -4*c. Suppose p = -i - 3*i + 16. Calculate the common denominator of (198/(-32))/((-6)/i) and 28/9.
72
Suppose -4*l = 5*t - 52, -33*l = -4*t - 29*l + 56. Calculate the least common multiple of t and 33.
132
Let p(g) = -g**3 - 20*g**2 - 2*g - 40. Let q be p(-20). Let f = q + 5. Find the common denominator of 35/2 and (95*-1)/(f + -1).
4
What is the common denominator of (-1)/12*(-13616)/276 and 44/1341?
1341
Suppose -4*h + 3 = -25. Let r(v) = v**3 - 10*v**2 + 21*v + 20. Suppose -y - 40 = -5*y. What is the smallest common multiple of r(h) and y?
20
Let s = -3 + 0. Suppose 3*k - 24 = 19*m - 22*m, 36 = 4*m + 5*k. What is the smallest common multiple of (14/s + m)*-3 and 1?
2
Calculate the smallest common multiple of 218 - 227 - (-28 + -1) and 420.
420
Let f = 5375 + -214223/40. Let r = 59/5 - f. What is the common denominator of (-53)/(-18) + -4 + 3 and r?
72
Suppose -2*i - 32 = -c, -i = c - 6*c + 124. Let w be (-4)/(-6) - (-1)/3. Calculate the least common multiple of 616/(-14)*(w - 2) and c.
264
Calculate the common denominator of -27/40 and (-5 + 4)/(5/110*424).
2120
Let r = 11280 - 10839. What is the lowest common multiple of 8526 and r?
25578
Suppose 2*s = 2*y + 4, -3 - 5 = -y - s. Suppose -y*u + 0*u - 117 = 0. Find the common denominator of (3*(-2)/(-66))/(u/1027) and -34/21.
231
Let x be 3/2 + (-8)/16. Let u be ((-2)/6)/x - (-895103)/(-10084668). Let z = 84/4021 - u. Find the common denominator of -115/6 and z.
228
Let b = 182 + -194. What is the lowest common multiple of 6 - (-3 - b/(-4)) and 44?
132
Let l be ((-12)/1056*6)/(63/(-52342)). Let d = l - 785/14. Find the common denominator of d and -5/51.
561
Suppose 4*m = -4*u + 7*u - 35, -m + 5*u - 13 = 0. Let q be (-12)/m*(0 - (-12)/(-9)). Calculate the common denominator of 139/6 and (60/80)/(q/92).
6
Let w = 21/16 - 9889/7536. Let j = w + 18001/6280. What is the common denominator of 31/25 and j?
75
Suppose 0 = -8*v + 3*v - 150. Let y be ((-3)/v)/(-1*24/(-26919)). Let w = y - 558/5. Find the common denominator of w and 139/84.
336
Calculate the least common multiple of 1134 and (28 - 10)/(-4 - -5).
1134
Suppose -i + 0*z - 8 = -z, -i - 14 = z. Let w(s) = -s**2 - 8*s + 36. What is the lowest common multiple of w(i) and 12?
12
Suppose -9 = 5*n - 29. Suppose 0 = -5*k + 2*t + 38, -5*k - n*t + 28 = -2*k. What is the smallest common multiple of k and 105?
840
Let n = 69421 - 4998437/72. Calculate the common denominator of -15/2312 and n.
20808
Suppose -4*f + 5*f = -2*o + 22, -3*f - o + 81 = 0. Let q = 23 + -9. What is the least common multiple of q and f?
28
Let d = -68267 - -162816769/2385. What is the common denominator of 37/3 and d?
2385
Let v(y) = y**3 - 13*y**2 + 30*y + 2. Let h be v(10). Suppose -b - 30 = 2*s, h*b - 33 = 3*s + 26. Let m = 35 + s. What is the least common multiple of m and 30?
90
Let s = 122586 + -18387989/150. Let j = -4/102201 - -4871701/3066030. What is the common denominator of j and s?
450
Let i = -7513 - -15395/2. Let b(r) = r**2 + 41*r + 164. Let g be b(-10). Let q = i + g. Find the common denominator of q and -70/51.
102
Let w(f) = -f**3 + 3*f**2 + 25*f + 2. Suppose -x = 3*b - 8, 2*x + b = 3*b - 16. Calculate the lowest common multiple of w(x) and 16.
112
Let x = -310 + 316. Calculate the smallest common multiple of 7168/192*x/7 and 2.
32
Calculate the smallest common multiple of 33 and (5*367)/(240/288).
24222
Let v = -35968 + 17480407/486. What is the common denominator of -71/486 and v?
486
Suppose -q + 1287 = 161*y - 166*y, 2*q + 5*y - 2589 = 0. What is the least common multiple of 136 and q?
2584
Let b(w) = -w**3 + 18*w**2 + 6*w - 19. Let j be b(18). Let u = 101 - j. Let h(a) = -a**3 + 10*a**2 + 27*a. Calculate the least common multiple of h(u) and 12.
36
Let u(i) = -i**2 + 22*i + 45. Let k be u(14). Suppose -9*q = -239 - k. What is the smallest common multiple of q and 60?
660
Suppose 5*c - 2*c + 2*g = -1, -4*g + 31 = -5*c. Let w be 440/4 + 