12 = v - 2*o, 12 = -5*o + 27. Let x(z) = -36*z. Calculate the lowest common multiple of (-27 + 3)*(2 + 15/v) and x(-2).
72
Suppose -20 = -2*d + 14. Let u = d + -11. Suppose 6 = -2*c, 3*a + 27*c - 24*c = 24. Calculate the least common multiple of a and u.
66
Let h(q) = q + 9*q**2 - 17*q**2 + q**3 - 10 - 5*q**2. Suppose 56 = 7*f + f. Calculate the lowest common multiple of f and h(13).
21
Let u be (-2)/(-1) + -36*1. Let o = 33 + u. Calculate the common denominator of (o/18)/(1/100) and -55/4.
36
Suppose -47*g + 37024 = -33194. Calculate the smallest common multiple of g and 166.
1494
Let w(m) = 174*m + 1066. Calculate the lowest common multiple of 5180 and w(-6).
56980
Let d(n) = -44*n + 22. Calculate the smallest common multiple of d(-13) and 16.
4752
Calculate the common denominator of 79/5288 and 152/(-12)*(-1440)/(-384).
5288
Suppose -5*k + 9*k = 84. Let c = -51 + k. Let l = c - -44. What is the smallest common multiple of l and 1?
14
Let d(h) = 118*h**2 + 12*h - 101. Let y be d(-19). Let a = y - 2282435/54. Let z = -5/23 - -493/46. What is the common denominator of z and a?
54
Let l be 1182/(-78) + (84/39 - 2). Find the common denominator of -25/9 and (262/30)/((-24)/l).
72
Calculate the common denominator of (10 - (-2317)/(-231))*23*-3 and (-2556)/960 - -3*1.
880
Let o be 1/((-2)/(-3)) + 40/80. Suppose 5*g + 5*x = o*x, -x = 4*g - 7. What is the lowest common multiple of 3 and g?
3
Let c(w) = -18*w - 140. Let v be c(-8). Suppose 83 = 3*q + 5*h, -3*q + 15 = -4*h - 32. Suppose v*b - q = 43. What is the smallest common multiple of b and 10?
80
Let y(l) = -3*l + 23. Let h be y(6). Suppose 4*w = 4*x - 48, h*x + w - 31 = 17. Suppose -3*f - 4*f = -56. Calculate the lowest common multiple of f and x.
40
Let i = 186674/9 + -241182277/11628. What is the common denominator of i and -113/228?
3876
Let w = -1 + 6. Suppose -8*h + 18 = -22. Suppose 0 = -4*s - w*x - 0*x + 156, h*s = -2*x + 212. Calculate the lowest common multiple of 4 and s.
44
Let n = -28 + -22. Suppose -5*p - 5*h = -4*p + 14, -2 = -2*p - 4*h. What is the smallest common multiple of p and n/15*9/(-12)*8?
220
Let p = 36 - 18. Suppose 465 = p*n - 417. Calculate the smallest common multiple of n and 70.
490
Let p be (-1)/2*(-7 - 2261). Calculate the common denominator of 51/7 and (-22410)/p*(-1)/15.
63
Let z = -96797/12 - -8062. Suppose 4*h - 208 = 2*t, 2*h + t - 71 = 33. Let l = -196/3 + h. Find the common denominator of l and z.
12
Let b = -199449/10965059 - 2/73591. What is the common denominator of -36/745 and b?
5215
Find the common denominator of 115/126 and 3 + 16/(-2) + 302830/60984.
2772
Let h = 3697/15 + -252. What is the common denominator of h and 11/((-18)/33*6)?
180
Let z = 66986434 - 12660477317/189. Let f = -1535/7 - z. What is the common denominator of f and (-9)/((-252)/176) - -2?
189
Let k = 691201/6771 + -3772/37. Calculate the common denominator of (-2)/(-3) + (-262)/42 and k.
1281
Let n = 1/26639 + -1465707/14971118. Find the common denominator of -10 and n.
562
Let k(n) = -8*n - 6. Let s be k(-3). Let b be s*1/(-6)*-2. Suppose 2*t = -b + 2. Calculate the common denominator of t and -83/10.
10
Let w(y) = -y**2 + 2*y**2 + 24*y - 251 + 277. Let b be w(-16). Let j = -101 - b. Calculate the smallest common multiple of 9 and j.
9
Suppose 2*m = 5*m + 35013. Let n = m - -233361/20. Find the common denominator of -1 + 1082/(-180) + (-1)/(-9) and n.
20
Let j(i) = 5*i**2 + 11*i - 35. Let g(b) = 2*b**2 + 6*b - 18. Let z(y) = -7*g(y) + 3*j(y). Calculate the lowest common multiple of z(6) and 19.
57
Let a(u) be the first derivative of u**4/4 + 14*u**3/3 - 16*u**2 + 8*u + 198. Calculate the least common multiple of 120 and a(-16).
120
Let p = 2195173/302400 + 1/11200. Let r = p + -2189/216. What is the common denominator of 74/4*(-1)/2 and r?
8
Let k be 83*4 + -5*(-18)/(-45). Let c = 1258835/54 + -23311. Calculate the common denominator of c and (156/21)/(k/70).
594
Suppose -60*k = 309 - 2469. What is the lowest common multiple of 54 and k?
108
Suppose 0 = 12*t + 33 - 137 + 8. Suppose -2*c - 13 + 5 = 0. Let u = 8 + c. Calculate the lowest common multiple of u and t.
8
Suppose 0 = -3*t + u - 3*u - 21, 4*u = -t + 3. What is the common denominator of 117/(-16)*6/t and (44/54)/(7 + (-2350)/330)?
72
Let u = 1760315/12 + -146430. Let c = -781/3 + u. Calculate the common denominator of -143/6 and c.
12
Find the common denominator of 131/4482 and 3256/148 - (-49515)/(-2241).
4482
Let c(y) = y + 9. Let t be c(-9). Let w = t + 4. Suppose z - 8 = -9*a + w*a, 3*z - 24 = 2*a. Calculate the least common multiple of 8 and z.
8
Let c(w) = -8*w + 56. Let p be c(17). Let i = 103 + p. Suppose y - 28 = -3*r, 0 = -2*r - 0*r - 5*y + i. Calculate the least common multiple of 2 and r.
18
Let l(q) = -q**3 + 73*q**2 + 72*q + 154. Suppose -217 - 59 = 5*r + 3*f, -3*f + 237 = -4*r. Let c = -33 - r. What is the least common multiple of l(74) and c?
24
Suppose -3*q - 2*c + 350 - 313 = 0, 5*c = -4*q + 40. What is the smallest common multiple of q and 2886?
14430
Let n = 127 - 180. Let s = 55 + n. What is the smallest common multiple of 50 and s?
50
Let j(p) = -p**3 - 13*p**2 + 16*p + 23. Let y be j(-14). What is the common denominator of (-5)/2 - (104/24 + y) and -77/2?
6
Suppose -l - 2*l + 12 = 0. Suppose 3*j = 4*k - 6*k + 23, 44 = 4*k + 4*j. What is the lowest common multiple of (-551)/(-95) + 2/k and l?
12
Let m = 17 + 11. What is the lowest common multiple of 10/6 + 2074/102 and m?
308
Suppose -2*k - 5909 = -3*y, 5903 = -30*y + 33*y - 5*k. Calculate the lowest common multiple of y and 438.
3942
Find the common denominator of -181/270 and (91/(-7938))/(8/120).
1890
Let j = 122695/18 + -6821. Find the common denominator of 80/(-15) - (-2)/(-16) and j.
72
Let h = -40256 + 2214023/55. Let u = -2335327/50 - -46705. Find the common denominator of u and h.
550
Let s = -4/899 - 15103/40455. Calculate the common denominator of s and 22/21.
315
What is the least common multiple of 20787 and (13 + -3 + -28)/(3 + (-18)/4)?
83148
Suppose 7*d + 4*h - 956 = 3*d, 4*d + 3*h - 962 = 0. Calculate the least common multiple of d and 686.
3430
Suppose a + 7 = 8*a. Let l be a*(-2)/2 + 6. Let f(s) = 5*s**2 - 24*s + 7. What is the least common multiple of f(l) and 15?
60
Let i = 5830883477/10 + -583985961. Let m = -893701 - i. Let a = -3906 + m. Calculate the common denominator of -125/6 and a.
30
Suppose -15*u = 4*m - 12*u + 183, 4*m + 143 = 5*u. Let y(p) = p + 51. Calculate the lowest common multiple of y(m) and (12/2)/((-2)/(-3)).
9
Suppose 108*n + 2610 = 111*n. Let w = -3389/4 + n. Calculate the common denominator of w and 1/(-3) - 137/(-6).
4
Find the common denominator of (67/125)/(176/(-110)) and -57/64.
1600
Suppose -6216 = 2679*g - 2511*g. Let j = 349363/514755 + 2/6355. What is the common denominator of j and g?
81
Let t = 337/1980 + 21/110. What is the common denominator of t and (3 + -2)/14 + 2507/(-2898)?
252
Let z = 1148110/1359 + 37/2718. Let a = z + -853. Find the common denominator of a and -49/468.
468
Suppose 23*w - 3150 = 13*w. Suppose 0*l - 2*c = 3*l - 326, 3*l + 3*c - 324 = 0. What is the smallest common multiple of (20/(-18))/(5*(-7)/w) and l?
110
Let i = -2917 - -2920. Let u = 40 + -36. What is the lowest common multiple of u and i?
12
Let l be -1 - 3 - -4 - -60. Calculate the smallest common multiple of (135/(-25))/((-1)/(l/18)) and 48.
144
Let n be (18/(-8))/((9/240)/(-1)). Let w = n - 61. Find the common denominator of 2/(-6) + (82/84 - w) and -19/2.
14
Let y = 238111/44 - 5412. Find the common denominator of 0 - (50/48 + -1) and y.
264
Suppose -3*y + 5*b + 1097 = 0, -963*y + 966*y - 1091 = -b. What is the lowest common multiple of y and 6?
1092
Let m(b) = -b**3 - 3*b**2 + 57*b + 283. What is the least common multiple of 2961 and m(-5)?
47376
Let o(k) = -1050*k + 189. Let f be o(-12). What is the common denominator of -80/21 and (-3)/2 + 29/(f/474)?
294
Find the common denominator of 6*(-4)/160*(-515)/(-30) and -103/40.
40
Let w = 310196/873075 - -52/4989. What is the common denominator of w and 50/91?
2275
Suppose -2577998 = -2*n - d, 292109 = 2*n + 5*d - 2285889. Let c = 7756939/6 - n. Let m = c - 3803. Calculate the common denominator of m and 27/14.
42
Let n(v) = 2*v + 13. Let u be n(-4). Suppose 0 