9)/(-6) + 3/2. Suppose -f + p = -2*f. Calculate the common denominator of ((-21)/6)/(f/11) and 42.
6
Suppose 5*a + 2*v - 204 = 0, 2*v - 1 = -7. Calculate the smallest common multiple of 45 and a.
630
Let d = 34/19 - -677/57. Calculate the common denominator of 5/72 and d.
72
What is the common denominator of 52/27 and (8/(-189))/((-12)/14)*-21?
27
Suppose 0*x + 2*x = 4*v - 118, 0 = 2*v + 4*x - 64. Calculate the smallest common multiple of 18/v + (-104)/(-10) and 3.
33
Suppose 0 = -5*n + 3*t + 280, t - 224 = -4*n - t. Calculate the lowest common multiple of n and 140.
280
Suppose 0 = 24*l - 144 - 336. What is the smallest common multiple of l and 50?
100
Let a(g) = 2*g - 4. Let d be a(3). Let c be 1601 - d*6/(-4). Let u = c + -6471/4. Find the common denominator of u and -57/4.
4
Suppose -5*n + n - 18 = -2*b, -4*n = -3*b + 25. Calculate the least common multiple of b and 3.
21
Suppose 4*z + 118 = -2. What is the common denominator of (-351)/z + 0 + 0 and -8 + 15 - (-30)/16?
40
Let j = 9/8 - -31/56. Find the common denominator of j and -43/18.
252
Let k(v) = 22*v + 942. Calculate the least common multiple of 12 and k(-37).
384
Let n = -3/679 - -31973/13580. Let y = -127/59 - -6683/1652. What is the common denominator of n and y?
140
Let j = -59 + 25. What is the common denominator of 2 + (-2)/(-11)*1037/j and 43/7?
77
Let l be ((-16)/(-12))/((-12)/(-27)). Suppose -w + 4 = 2*r, -8 = -2*w + l*w + 5*r. What is the smallest common multiple of w and 12?
12
Let h = -3536 + 1034. Let s = h + 14923/6. Let r = 1/732 - -27079/3660. Calculate the common denominator of s and r.
30
Let f be 490/5 + 1 + 1. Find the common denominator of ((-2)/3)/(f/1455) and -19.
10
What is the lowest common multiple of 32 and (-24)/(-28)*(-56)/(-6)?
32
Suppose 2*w - 1 = -q, 5*q = -w - 4 - 0. What is the common denominator of 1 - (-3 - (-231)/12) and (-3021)/38*q/(-6)?
4
Suppose 84 = -3*x + 462. Let r be (-367)/x - 12/(-66). Let s = r + 2/231. What is the common denominator of -143/18 and s?
18
Let u = -3124675/75393 + 6/8377. Let z = -20404871117/387 + 52725807. Let a = z + u. Calculate the common denominator of a and -11/5.
215
Suppose 0 = 9*k - 5*k - 12. What is the least common multiple of 5/k*(-18)/(-1) and 30?
30
Let c = -22643/52 - 2799/13. Let x = 656 + c. Let m = 64/143 + -33/13. What is the common denominator of m and x?
44
What is the lowest common multiple of (-50)/225 + -1 + (-249)/(-27) and 1324?
2648
Suppose 0 = h - 0*x + 2*x - 13, 0 = 4*h + 4*x - 32. Suppose h*j - 8*j + 130 = 0. What is the lowest common multiple of 10 and j?
130
What is the common denominator of -75/52 and (7 - 305/45) + 3764/(-576)?
208
Suppose 0 - 12 = -3*a. Suppose -a*c = b - 16, 0 = c - 2 + 4. Calculate the smallest common multiple of 2 and b.
24
Suppose -4*j - 4*q = 4, q = -6*j + 4*j + 2. Calculate the lowest common multiple of j and 13.
39
Let w = -943/88 - -101/8. Let d = -2533/10 - -303/2. Let u = 105 + d. What is the common denominator of w and u?
55
Suppose -4*h - 3*n + 4 = -683, 5*h + 3*n - 855 = 0. Find the common denominator of (-17)/51*h/10 and -87/10.
10
Let g = -1412 + 16907/12. What is the common denominator of g and 157/60?
60
Let x = -399312 - -1889943686/4733. Let k = x + -364081/170388. Calculate the common denominator of 67/14 and k.
252
Let s = 44 - 40. Suppose -5*k = -s*a + 10, -2*k + 1 = -a + k. What is the smallest common multiple of a and 5?
5
Suppose 27*d + 3 = 30*d. Suppose 3*t = -59 + 188. What is the least common multiple of d and (-4)/(-18) + t/9?
5
Suppose 0 = -3*v, 3*v - 5874 - 21458 = -4*z. Let f be (-1)/(-30)*1640388/(-8). Let c = z + f. Find the common denominator of c and -17/2.
20
Suppose 4*q = -5*g + 28, q = 4*g - q - 12. Suppose c - 4*v - 21 = 6*c, g*v = 2*c + 14. What is the common denominator of 255/18 - (-2 - c) and -10/7?
42
Suppose -5*p - 3*u - 40 = -223, 0 = 3*p + 3*u - 111. What is the least common multiple of p and 12?
36
Let i be 10/60 + ((-1138)/(-12) - -1). Suppose -7*s + i = -3*s. What is the lowest common multiple of 30 and s?
120
Let w = -19 + 13. Calculate the least common multiple of 12 and ((-72)/10)/(w/15).
36
Suppose -331 + 91 = -16*q. Calculate the lowest common multiple of q and 282.
1410
Let h(y) = y**2 + 4*y - 22. What is the least common multiple of h(-11) and 5?
55
Let w = 12/1343 - 70088/28203. Calculate the common denominator of -109/36 and w.
252
Let b(u) = -8*u**3 + 2*u**2 + 4*u + 2. Suppose 2*f - 7 = -i, -2*i + 5*i + 33 = 3*f. Calculate the smallest common multiple of f and b(-1).
24
Let q = -32105/13 - -2471. Let l = 53/104 - q. Calculate the common denominator of l and -143/42.
168
Find the common denominator of 8/45 and 2/5*(1981/168 - 10).
180
Calculate the common denominator of 53/72 and (125/175)/(324/(-231)).
216
Let p be 51*(-7)/42*136/2. Calculate the common denominator of (-23)/(-184) - p/(-144) and 79/2.
18
Let v = -40726588/1383 - -29448. Let f = v - -81721/42873. Let z = f + -2655/434. Calculate the common denominator of 77/4 and z.
28
Let y(u) be the second derivative of -u**5/20 - u**4/2 - u**3/2 - u**2/2 - 5*u. Calculate the lowest common multiple of y(-6) and 10.
170
Calculate the least common multiple of (-1 + 1)/1 - -9 and (-2)/(-10) - 7/((-455)/572).
9
Suppose 0 = -a - 0 + 4. Let s = -7657/1962 + 3/218. What is the common denominator of s and 412/96 - a/6?
72
What is the common denominator of (-488)/(-1024) + -1 + 0 and 77/8?
128
Let c(j) = -4*j - 49. What is the lowest common multiple of 19 and c(-16)?
285
Suppose 4*o + 491 = 3*l, 3*l - 22 = -5*o - 656. What is the common denominator of o/(-110) - -1 - -2 and -37/4?
44
Let n = 49790/9 + -5526. What is the common denominator of -29/156 and n?
468
Suppose -s = -3*s - 10. Let d(l) be the first derivative of l**2/2 + 6*l + 5. Calculate the smallest common multiple of 5 and d(s).
5
Calculate the common denominator of 37/20 and (-3)/24*((-554)/150 + 5).
300
Let n(f) = 17*f + f - 3 + 1 + 2*f. Suppose g - 2 - 12 = 0. Calculate the least common multiple of g and n(1).
126
Suppose 75 = -26*k + 37099. What is the smallest common multiple of k and 2?
1424
Calculate the smallest common multiple of (-2)/(1 - 92/88) and ((-342)/(-95))/((-6)/(-20) + 0).
132
Let k = 2079/236 - 7/118. What is the common denominator of 32/25 and k?
100
Let c(x) = -76*x**2 + 4*x + 1. Let z be c(-3). Find the common denominator of 151/6 and (3/15)/(6/z).
6
Suppose 6*k = -0*k + 1008. Calculate the smallest common multiple of 168 and k.
168
Let j(h) = -h**3 - 7*h**2 - 9*h - 14. Let f be j(-6). Let q(w) = 18*w - 49. Calculate the lowest common multiple of 10 and q(f).
230
Let b = -76 - -71. What is the common denominator of 71/33 and (-32)/66*(b - (-18)/6)?
33
Suppose -5*b - 1868 = 17. Find the common denominator of b/(-126) - 4/(-14) and 1 + -2 - (-230)/28.
126
Let t(k) = -95*k - 459. Calculate the lowest common multiple of 458 and t(-5).
3664
Let a(t) = 2*t**2 + 7*t + 1. Let w(f) = -6*f**2 - 22*f + 4. Calculate the smallest common multiple of w(-3) and a(-5).
16
Let i = 22877/30 + -2267/3. Let s = 12 - 19. Find the common denominator of (-2)/s + (-86)/(-42) and i.
30
Let y be (-1451875)/60444 + 2/9. Let a = -1171610/73 - -16050. Let d = a + y. Find the common denominator of d and 31/20.
20
Suppose -2*w - 2*u = -10, 13*w - 7*u + 2*u - 29 = 0. Let v(i) = i**2 + i - 5. Let m be v(-4). Let k = -2 + m. Calculate the least common multiple of w and k.
15
Let k be 8/18 - 44904/(-54). Find the common denominator of (9/(-12))/(325/k) and -109/20.
100
Find the common denominator of 59/75 and 1/15*-116 - -8.
75
Suppose -4*w + 2*o + 29 = 9, -4*w + o = -20. Suppose 88 = -u + 3*u + 2*f, 0 = w*u + f - 224. Let d = u + -23. What is the lowest common multiple of d and 14?
154
Let l = -519/8 + 65. Let m be (12/(-15))/(4/(-40)). Find the common denominator of 66/16 - (6 - m) and l.
8
Let n = -2239 - -1522. Let h = n - -7191/10. Calculate the common denominator of h and (111/(-15))/((-36)/(-10)).
90
Calculate the common denominator of -4 - (-9)/((-9720)/(-4329)) and -97/90.
360
Suppose -l = 5*l - 1200. Suppose -14*b + l = -9*b. What is the common denominator of 34/5 and b?
5
Let b(i) = i**2 - 16*i + 10. What is the least common multiple of 513 and b(17)?
513
Suppose 0*p + 2*p = x - 62, -2*x = 0. Let b = -1