
Let u be ((-12)/(-45))/((-21)/(-5)). Let a = 443/5985 - u. Let v = a - -1607/760. What is the common denominator of v and -23/5?
40
Let s be (-269)/(5/(-7)*1). Suppose 6*i + 2244 = -0*i. Let j = i + s. Calculate the common denominator of -18/5 and j.
5
Let n be 7460/(-24)*25 - 2/12. Let w = 232949/30 + n. Calculate the common denominator of w and 69/22.
330
Let o = -4490654/20375 - -4/20375. Let y = o - -57479/260. Calculate the common denominator of y and 29/16.
208
Let k = -7451/468 - -393/26. Find the common denominator of 89/84 and k.
252
Let s = 0 - -5. Let g = s + -11. Calculate the smallest common multiple of 6 and 2/g - (-670)/30.
66
Let m be ((-140)/(-15))/((-2629)/(-2631) - 1). Let f = -245609/20 - m. Let z = -46281/16 + 2894. Find the common denominator of z and f.
80
Let i(m) = -2*m + 178. Calculate the smallest common multiple of i(21) and 68.
136
Suppose 0 = 3*w - 4*a - 116, -5*a + 87 = 3*w - 38. What is the least common multiple of 16 and w?
80
Let s = 5 + 4. Let a(p) be the third derivative of p**6/15 - p**3/6 - 4*p**2. What is the lowest common multiple of a(1) and s?
63
Let z(q) = q**3 - 6*q**2 + 3*q + 15. Let h(b) = b**2 - 6*b - 11. Calculate the lowest common multiple of h(8) and z(5).
5
Let f = -5 + 11. Suppose 25*z = 28*z - 36. What is the smallest common multiple of z and f?
12
Suppose 29*g + 176 = 37*g. What is the least common multiple of g and 206?
2266
Let h = -13/36 + 1/3. Calculate the common denominator of -55/54 and h.
108
Find the common denominator of ((-303)/8)/((-39)/(-26)) + 5 and -45/164.
164
Let m = 61077/60592 + -270/541. Find the common denominator of m and 91/2.
112
Find the common denominator of -16/165 and (-245)/343 + 930/1694.
1815
Let v = 11 - -3. Suppose -168 + 172 = h. What is the smallest common multiple of v and h?
28
Calculate the common denominator of -21/13 and 66/(-32)*(-104)/(-1014).
52
Suppose -6*p + 31 = -2*p - 5*b, -5*p = -5*b - 35. Suppose 0 = 14*k - 102 + p. Calculate the smallest common multiple of k and 4.
28
Let d = 10256 - 205051/20. What is the common denominator of -49/132 and d?
660
Let m = -7 + 11. Let u be (-2 - 1)/(6/20). What is the least common multiple of m and (13 + u)*14/6?
28
Calculate the least common multiple of (22*3/18 - 2)*12 and 2.
20
Let s = -167827/39 - -4303. Find the common denominator of s and -4/25.
975
Let m = -368 - -379. What is the least common multiple of 31 and m?
341
Let x = 35605/12 + -2971. What is the common denominator of x and -41/20?
60
Calculate the smallest common multiple of 621 and (2 - -1)/((-58)/(-174)).
621
Let u(y) = y**2 - 2*y - 3. Let t be u(5). Let w be ((-3)/12846)/(3/t). Let k = 83519/21410 + w. Calculate the common denominator of 3/4 and k.
20
Suppose -5*r - 14 = 26. Let i = r - -34. What is the smallest common multiple of i and 4?
52
Let b = 58 + -52. What is the smallest common multiple of b and 4?
12
Let s(t) = -72*t + 16. What is the least common multiple of s(-1) and 77?
616
Suppose 3*k = -k + 88. Let x(i) = -20*i**3 - i**2 - i. Calculate the smallest common multiple of k and x(-1).
220
Suppose -2*v = -35 + 3. Calculate the least common multiple of v and 146/6 - 2/6.
48
Let a(q) = -4*q + 414. Calculate the lowest common multiple of 14 and a(7).
2702
Suppose -2 = -2*a + 150. What is the lowest common multiple of 38 and a?
76
Let d(f) = -f**2 - 10*f - 8. Suppose -2*r - 18 = -2*t, -45 = 5*r + 3*t - 0*t. Suppose h - 48 + 39 = 0. Calculate the lowest common multiple of h and d(r).
9
Let a = 95 + -375/4. Let x = 11464348/11 - 1041488. Let v = 725 - x. Find the common denominator of a and v.
44
Suppose 4*p - 3 + 23 = 2*j, -5*j = -p - 86. Calculate the smallest common multiple of j and 30.
90
Let m = -13150/13 + 1009. What is the common denominator of m and 47/52?
52
Suppose -4*k + 3*d - 35 = 0, -4*k - 4*d + 5 = -k. Find the common denominator of -43/52 and ((-4)/(72/(-55)))/(4 + k).
468
Let r = 87 + -88. Find the common denominator of -37/36 and (34/132)/(r/2).
396
Let l be 330/35 - (-4)/(-28)*-4. Suppose -5*g = -i - 0*g - 24, l = 5*i + g. What is the least common multiple of 8 and i?
8
Let l be 10/35 - (-26)/7. Suppose 30 = v + l*v. Suppose 2*s - 4*r - 38 = -s, 2*r - 58 = -4*s. What is the least common multiple of s and v?
42
Let y = -101/44 + 6/11. Find the common denominator of 101/86 and y.
172
Let f = 9955/872 + 50/109. Find the common denominator of 41/274 and f.
1096
Let a = -164352194229/80445732332 + 8234/1284337. Let n = 2/2237 + a. Calculate the common denominator of -23/44 and n.
308
What is the common denominator of -35/36 and ((-114)/(-18) - 5) + 79/(-60)?
180
Let s = 12/35 + -2161/6405. Let z = s + 2500/183. Calculate the common denominator of z and (-1 - (-2)/3)*2/(-6).
9
Let t be -4 + 3/(9/12). Suppose t = -f + 6 - 2. Suppose -v + f = 0, -2*v - 3*v = h - 28. What is the smallest common multiple of h and 4?
8
Let k(t) = t**2 - 8*t. Suppose -24 = 14*z - 17*z. What is the smallest common multiple of k(9) and z?
72
Let f be 546*((-25)/(-2) + -2). Suppose -5*t + 0*v - 3*v - f = 0, -3*t - 3467 = -5*v. Let w = -9177/8 - t. Calculate the common denominator of 8/11 and w.
88
Suppose 0*o - 3*o = -2205. Calculate the common denominator of 0 + 3 - 224/24 and ((-3)/10)/((-18)/o).
12
Let r(a) = -9*a + 42. Let j be r(5). Find the common denominator of 3/17 and j/(-30) + 2421/990.
187
Let l = -2982661/60 + 49713. What is the common denominator of 119/24 and l?
120
Suppose -18*z = -12*z + 66. Let a(p) = p**2 + 10*p - 3. What is the lowest common multiple of 20 and a(z)?
40
Suppose 3*r - 59 = -11. Let k = -1 - -10. Suppose 43 = 4*h - z, -3*z = -3*h + h + k. Calculate the lowest common multiple of r and h.
48
Suppose 24 = f - 3*f. Let o = -8501/20 + 423. Find the common denominator of (19/f)/((-11)/22) and o.
60
Suppose -17*b + 16*b = -3*i + 5, 5*b - 16*i = -29. Suppose 5*v - o = o + 36, 24 = 4*v - 4*o. What is the smallest common multiple of b and v?
56
Let j = 114 + -1027/9. Let u = 8561/5 - 1714. Calculate the common denominator of u and j.
45
Let x(g) = 12*g + 441. What is the smallest common multiple of x(-35) and (-2)/((-6)/(-3)) + 13?
84
Suppose 34*w - 726 = -216. Calculate the least common multiple of w and 13.
195
What is the common denominator of 5/2 and (-6)/(-85)*1485/(-36)?
34
Let s be (1 - 1) + 4/(-214). Let t be (-1509)/(-642)*39/9. Let b = t + s. Calculate the common denominator of b and -62/5.
30
Let y = -13933/4 + 3504. Let x = -17429/30 + 3029/5. Find the common denominator of y and x.
12
Suppose 23*h - 27*h = 0. Suppose h = -2*w + 2*t + 92, 0*w + 4*t = -2*w + 104. Calculate the lowest common multiple of w and 33.
528
Let c(b) = 3*b + 4. Let k be c(-2). Let t(v) = 2*v**2 - v - 2. What is the least common multiple of 6*k/(-3) - -16 and t(2)?
20
Let r = -214 + 223. Calculate the lowest common multiple of 21 and r.
63
Let g = 201 - 79. Calculate the least common multiple of g and 12.
732
Let j = -2608421 + 216501533/83. Let i = 189121/6308 - j. Find the common denominator of 65/9 and i.
684
Let z(k) = -6 + 3*k - 3*k**2 + 0*k**2 + 4*k**2 + 0*k**2. Let r be z(-5). Suppose -r*v + 72 = -0*v. What is the lowest common multiple of v and 14?
126
Let p be (2/(-6))/(1/(-12)). Let m = p + -12. Let w(u) = -u**2 - 10*u + 4. Calculate the lowest common multiple of 24 and w(m).
120
Find the common denominator of -31/77 and 6 - (-4 + 10374/1034).
3619
What is the lowest common multiple of ((-6)/14 - 0) + (-15045)/(-413) and 2?
36
Let z = 4733075/94 + -50351. Find the common denominator of 39/5 and z.
470
Suppose 12*y - 1903 - 17 = 0. Calculate the lowest common multiple of y and 176.
1760
Let a = 10873/1023 + 508/93. Let w = 373/22 - a. Find the common denominator of w and -99/14.
154
Let g be (-1 - -2)*(-3 + 2). Calculate the common denominator of 43/18 and 1/(g/(-2)) + (-145)/(-50).
90
Suppose 20 = 2*m - 3*m. Let x = m + 71. Let w = 118/3 - x. Find the common denominator of 23/6 and w.
6
Suppose 0 = 7*q - 9*q + 5*x + 34, q + x = 10. What is the lowest common multiple of q and 8?
24
Let p be ((-6)/(-4))/(9/12). What is the common denominator of 3*3/21 + (-2755)/(-350) and (p + 24)*(-1)/14?
70
Suppose -101 = 5*l + 19. Let v = l - -14. Calculate the common denominator of -52/9 and 790/(-4)*2/v.
18
Suppose 5*p = 15, -5*l + 2*p + 