0. Let n be m(-5). Suppose -19 = -3*r - 5*v + 27, -3*v = n*r - 66. Calculate the lowest common multiple of r and 24.
24
Let w be (-25778)/52745 + 44/110. Let k = w - -94/137. What is the common denominator of 103/56 and k?
616
Let f = -352141 - -625402375/1776. Find the common denominator of -13/2664 and f.
5328
Suppose -62*s = 232*s - 686196. What is the lowest common multiple of s and 14?
16338
Let k be ((-28)/4 - 2)*1/(-1). Suppose -2*s - 4*m - m = -k, 2*s + 2*m = 6. Calculate the common denominator of (-2 + 1)*(-73)/6 - s and -27/11.
66
Let z be 2/5 - 1338/(-30). Find the common denominator of (-9)/(z/10) - 71/12 and 87/56.
168
Let m = -21815482993986096661603867/43316850 - -503625794442256783. Let a = m + 2/7219475. Let s = -1771/3 - a. Calculate the common denominator of -34/3 and s.
30
Suppose 10*j - 5*j + 15 = 0. Calculate the common denominator of 475/76*1/j and 15/16.
48
Find the common denominator of (22545/1800)/((-135)/12) and -22/25.
150
Let p(g) = 19*g + 7*g - 53 + 7*g - 37. Calculate the lowest common multiple of 12 and p(4).
84
Let g = 129242 - 84007357/650. Find the common denominator of g and 49/260.
1300
Calculate the smallest common multiple of 32 and (13/3 + -1)*(441/21 - -18).
2080
Let x be (-663)/(-5) + (-18)/(-45). Let k = x - 25. What is the least common multiple of k and 8?
216
Let g = -3 - 2. Let u(y) = y**2 + 20*y + 84. What is the smallest common multiple of 11 and u(g)?
99
Let c be 49/7 + -21 + 10. Let n(p) be the third derivative of -p**6/120 - p**5/15 + 7*p**3/6 - p**2. Calculate the least common multiple of n(c) and 3.
21
Let k(x) = 1. Let z(j) = -12*j - 13. Let n(r) = 6*k(r) + z(r). What is the smallest common multiple of n(-7) and 70?
770
Let c = -64378/13447 + 7/3842. Let q be 10/336*(-6861)/4. Let d = -1749/32 - q. Calculate the common denominator of c and d.
28
Let f = 3289897/324 - 10154. Calculate the common denominator of f and 35/972.
972
Let a(k) = k**2 - 19*k + 57. Let h be a(9). Find the common denominator of (-18)/27*117/h and -33/20.
220
Let b be 3 - (-62)/(-4) - (-2)/4. Let r(c) = 3*c**2 + 3*c. Let k be r(3). Find the common denominator of (-9)/k - (-159)/b and -19/4.
4
Let t be -1 + 21*(-12185)/(-90). Let b = 2822 - t. Find the common denominator of -125/156 and b.
156
Let c = -359419/678300 - 4/33915. What is the common denominator of c and -73/180?
900
Calculate the common denominator of (0 - 3511/585) + (752 - 746) and -77/10.
1170
Suppose -2 = -5*o + 88. Suppose 3*q + 72 - 984 = 0. Let g = q - 284. What is the smallest common multiple of g and o?
180
Let j(m) = 5*m - 60. Let s be j(11). Find the common denominator of -7/18 and ((2366/12)/7)/(-2) - s.
36
Calculate the least common multiple of 150 and 18/4 + (-66)/44.
150
Let h(x) = -3*x**2 - 15*x + 6. Let w be h(-5). Let o(i) = -15*i + 17. Let j be o(w). Let d = 80 + j. What is the smallest common multiple of 10 and d?
70
Let d be (-332800)/275 + (-4)/(-22). Let i(t) = 21*t**2 - t. What is the common denominator of (d/(-9))/(-11) - -8 and i(-1)?
9
Let p = -28 - 10. Let w be p + ((-9)/3)/(-1). Let j = w - -65. What is the lowest common multiple of 6 and j?
30
Suppose 31*g = 28*g + 3408. Let y = -1247 - -6182/5. What is the common denominator of g/(-288) + 1/6 and y?
45
Let u = 1349/1580 - 65/474. Calculate the common denominator of -137/5970 and u.
11940
Suppose -p = -5*p + 5*k - 25575, 0 = p - 3*k + 6385. Let d be 2/6 - (-5)/(p/3138). Let b = 19/128 - d. Calculate the common denominator of b and 59/30.
30
Let s = 20989/240 - 1399/15. Let p(i) = -i. Let u be p(9). What is the common denominator of s and (-89)/18 + (-3)/u?
144
What is the common denominator of 1/3 + ((-98270)/31713)/10 and -23/143?
4433
Let n = -143993585/418 - -344482. Calculate the common denominator of n and -33/380.
4180
Let q = -371 + 2875/8. Calculate the common denominator of q and 51/11.
88
Let y = 160 + -157. Calculate the common denominator of (-2049)/108 - (-2)/9 and 1*(-2)/y*909/192.
32
Let x(l) = l + 8. Let a(t) = 2*t**2 + 2*t + 1. Let g be a(-2). Suppose 3*v = -g*d + 40, 3*v - 7*v = d - 8. What is the lowest common multiple of x(4) and d?
24
Let z = 7092 - 7038. Calculate the smallest common multiple of z and 1620.
1620
Let c = 1627/156 - -99/52. Find the common denominator of c and -143/186.
186
Calculate the smallest common multiple of 1734 and (-10 + 13 - -56) + 9.
3468
Let i(t) = -t**3 + 3*t**2 - 24*t - 150. Calculate the lowest common multiple of 264 and i(-6).
13992
Let x = 10/347 + 14117/3817. What is the common denominator of 121/1180 and x?
12980
Let c(p) = 2*p**3 + 45*p**2 + 21*p - 20. Let h be c(-22). Find the common denominator of 861/63 + h/3 and 87/14.
42
Suppose 304 - 47 = 17*c - 15. Calculate the lowest common multiple of c and 214.
1712
Let v = -29608/297 + 1086/11. Calculate the common denominator of 52/309 and v.
2781
Let u(t) = 6*t**2 + 6*t - 4. Suppose -4*r - 3*w - 23 = 0, -r - 4*w - 36 = -14. Calculate the least common multiple of u(r) and 62.
248
Suppose -6*n + 7*n = -627. Let o be 17/(-34) - (0 - n/(-1256)). Let i = 18197/18840 - o. What is the common denominator of i and 56/27?
270
Let i = -336/115 + 806851/276115. Let s = 10298648333/162895845 + -917156/22615. Let x = s - i. Find the common denominator of -61/14 and x.
42
Calculate the lowest common multiple of (-95)/(9 - 5 - 5) and 5.
95
Suppose -2*u - 8*j - 140 = -9*j, 5*u + 4*j + 363 = 0. Find the common denominator of ((-73)/(-4))/((-9)/(-4)) and (4 - 238/49) + u/105.
45
Let h = -27 + 24. What is the common denominator of ((-79)/(-3))/((-28)/(-6)) and 18*3/(-60) - h?
70
Let h = -508/21527 - -18/721. Let s = h + -13315/108262. What is the common denominator of s and -59/2?
74
Let j = -20/32147 + 2613187/14916208. Calculate the common denominator of j and 23/1276.
5104
Let l be (-40304)/(-72) - (-4)/18. Suppose 0 = 2*c - 336 - l. What is the lowest common multiple of c and 8?
448
Suppose -8*a + 1809 = -615. Calculate the least common multiple of a and 10.
3030
Let z = -870638249/187964760 + 3528/73195. Let o = 49/107 - z. Find the common denominator of o and (-170)/9*(-8 + 555/75).
24
Find the common denominator of 11/10 and (6 - (-1505)/(-252))*(-186)/28.
840
Suppose -4*b + 34 + 12 = g, -92 = -2*g + 2*b. What is the common denominator of 55/13 and (-2)/4 + g/230?
130
Let t = -5627 - -8998. Let v = t - 50609/15. Find the common denominator of -43/50 and v.
150
What is the common denominator of 82/1443 and 2201/18135 + (-4)/9?
7215
What is the common denominator of 287/684 - 23/(1242/12) and -1/779?
3116
Suppose 0*n + n - 5*m = 22, 0 = -n - m - 2. Let s = 3 + -3. Suppose s = -3*d + 17 + 43. What is the lowest common multiple of n and d?
20
Calculate the least common multiple of ((-11)/22)/((-2)/(-86))*-12 and 78.
3354
Let c = -94 + 19. Let w = c - -59. What is the common denominator of 428/w + (2 + -5)*-1 and -143/6?
12
Let d = 627133/45 + -13938. Calculate the common denominator of d and -22/207.
1035
Let m = 22 + -32. Calculate the common denominator of (((-873)/(-345))/3)/((-4)/m) and ((-2)/12)/(6/202).
414
Let g = 48968041/108 - 453404. Let v = 17/27 + g. Calculate the common denominator of v and 79/82.
492
Suppose 44*i - 607 = -27*i + 1097. Calculate the smallest common multiple of i and 1566.
6264
Let a(r) = 101*r + 829. Calculate the smallest common multiple of 231 and a(-8).
231
Suppose -o - 18*u = -22*u - 15, 4*u - 51 = -5*o. Suppose -o*y - 142 = -13*y. Calculate the smallest common multiple of 7 and y.
497
Let l = 1871 + -701. Suppose -5*n - 5*d - l - 120 = 0, -3*n - 2*d = 773. Let q = n + 1039/4. What is the common denominator of q and 23/44?
44
Let f be (-5 - 2 - -128)/((-2)/(-2)). Find the common denominator of (2/6)/(2/28) and (f/9)/(20/(-6)).
30
Suppose -22 = -4*x - 6. Let j(c) = c**2 + 5*c + 6. Calculate the lowest common multiple of j(-5) and (-16)/(-10) - x/(-10).
6
Let l = -21719 - -66264680/3051. What is the common denominator of -41/297 and l?
33561
Suppose s + 4*k = -3*s + 132, 5*s - 177 = -2*k. Let x = s - 15. What is the lowest common multiple of ((-6)/(-4))/((-6)/(-80)) and x?
220
Suppose 3*s - 2*w - 574 = 0, -2*s - 6*w + 372 = -2*w. Let r = 193 - s. Calculate the lowest common multiple of 18 and r.
18
Let g be (-26680)/(-48) + (-2)/(-12). What is the least