2*d + 2. Let h = 46 + -44. Suppose -r + 8 = h*l + r, 23 = 2*l + 5*r. What is the smallest common multiple of z(l) and 6?
30
Let g be (5 + -4 - -4) + (-4)/(-1). Suppose -2*n = -5*q + g, 3*q + 1 = -3*n + n. Calculate the common denominator of 31/44 and 2 + (-1324)/192 - n/(-12).
176
Suppose 8*z - 3 = -11. Calculate the common denominator of -3 + (1/3)/(z/17) and 7 + (7458/81)/(-11).
27
Suppose -46 = -w - 5*o, 2*o = 2*w - 2*o + 20. Calculate the smallest common multiple of 3260 and w.
9780
Suppose 149914 = -22*o - o. Let g = o + 91353/14. Find the common denominator of g and (-678)/(-8)*6/(-45).
70
Calculate the common denominator of 26/27 and (-17 - 73970/(-4350))*-190.
783
Suppose 968 = 3*i - 1630. Suppose -1254 = -5*l + i. What is the common denominator of (6/(-230))/(l/64 + -7) and -41/7?
805
Let h = 1396 - 856. What is the smallest common multiple of 1080 and h?
1080
Let o = 5595 - 10772. Let k = 170815/33 + o. What is the common denominator of 2/9 + (-573)/270 and k?
330
Let v be 3/4 + 1273/(-76). What is the smallest common multiple of (729/(-108))/(2/v) and 6?
54
Find the common denominator of -1*1597/4305 + 2/(-35)*-7 and -157/84.
3444
Let o = -6472/11 + 439733/748. Let d = 3729 - 44741/12. Calculate the common denominator of o and d.
204
What is the common denominator of (-2)/8*-3*(-2436)/18879 and -107/6?
186
Suppose 2*f = -97 + 87, 5*f = 4*x - 113. What is the smallest common multiple of 28844 and x?
317284
Calculate the common denominator of 33/70 and 39/405 - 5/50.
1890
Let w = -2094973/195790 + 2/19579. Find the common denominator of w and (-7 - 87)*(-3)/(-36).
30
Let l(k) = 160*k + 5444. Let b = -6 + 10. Calculate the least common multiple of b and l(-34).
4
What is the common denominator of (-2)/6 + (77736/10620 - 7) and -69/472?
2360
What is the common denominator of (4/6 - 1584/2464)*172/(-30) and 173/180?
1260
Calculate the least common multiple of (-9)/((-216)/(-16)) + 8/3 - -12 and 382.
2674
What is the smallest common multiple of 3 and 588 + (-3 - (-2 + -7))?
594
Let o be 17/7 - (-8 + (-413)/(-49)). Suppose 2*r - 84 = b - 16, o*r = -2*b + 62. Calculate the lowest common multiple of 225 and r.
2475
Let b(q) = 6*q**2 - 205*q - 153. Suppose 5*i + 15 = 5*x, -3*x + 5*i + 10 = i. What is the smallest common multiple of x and b(35)?
22
Let w be 5 - (7 - 7 - -185). Find the common denominator of 19/30 and (-201)/w - (17 - 16).
60
Let l = -14669/6 - -2420. Let k = -570 - -825. Find the common denominator of l and 4/5*k/(-18).
6
Let x = -69847/6 - -18299761/1572. Find the common denominator of x and 45/524.
524
Let r = 5441/5 + -21853/20. Calculate the common denominator of 249/18*20/(-600) and r.
180
Suppose 0 = 9*v - 36*v + 378. Let l(x) = x**2 - 20*x + 87. What is the least common multiple of 18 and l(v)?
18
Let s = 117 + -113. Suppose 4*d + s = 24. Calculate the least common multiple of 11 and d.
55
Let y(k) = -k - 20. Let p(l) = -l + 2. Let x(b) = -12*p(b) + 4*y(b). Calculate the smallest common multiple of 2 and x(14).
8
Let x = -6995 - -7046. Calculate the smallest common multiple of 77 and x.
3927
Let u(m) = 0*m + m**2 - 28 - 8 - 2*m. Let k be u(-7). Suppose 3*q - 45 - k = 0. What is the smallest common multiple of 6 and q?
24
Let i = -222 + 635. What is the lowest common multiple of i and 14?
826
Find the common denominator of 8 - 9378/1108 - ((-1)/(-2) - 1) and -13/2770.
2770
Let u be (-92)/9 + (6 - (-208)/(-36)). Let o be (-245)/u*8/14. Suppose o = -2*y + 54. What is the least common multiple of 6 and y?
60
Suppose 0 = t - 3*b - 1677, 638 = 2*t + 4*b - 2676. What is the smallest common multiple of 72 and t?
13320
Suppose 2*f = 2*v - 146, 2*v - 5*f = 185 - 36. Calculate the smallest common multiple of v and 198.
792
Let l be -3 - ((-2)/9582)/((-32)/(-459984)). Let y = -53497/7985 - l. What is the common denominator of y and 41/4?
20
Let q(t) = -t**2 + t. Let u be q(4). Let o = -128633/30 - -4282. Find the common denominator of o and ((-321)/u)/(-7 - -1).
120
Suppose 8*n - 42 = 30. Suppose -4*i - 95 = -n*i. Suppose 0 = p - 1 - i. Calculate the smallest common multiple of p and 10.
20
Suppose -p = -2*n - 0*n + 29, -4*n + 3*p + 63 = 0. Suppose -37 + 199 = 5*i - 4*g, 3*i - 54 = -3*g. Calculate the least common multiple of n and i.
156
Suppose 37*y - 40788 = -1045 + 66521. Calculate the smallest common multiple of y and 28.
20104
Find the common denominator of 149/96 and (-528)/9504 - (-478)/14112.
4704
Find the common denominator of (2/(-8))/(((-20720)/546)/37) and 9321/(-6240) - 3/(-4).
160
Let j = 203119/1800 - 903/8. Let r = -16/237 + -1843/395. What is the common denominator of r and j?
225
Let t(g) = g**3 - 16*g**2 + 14*g + 17. Let w be t(15). Let z(d) = 4 + w - d - 2. What is the smallest common multiple of 8 and z(-4)?
8
Suppose -2*w + 18 = -2*v + 12, 3*w = -2*v + 4. Calculate the lowest common multiple of 102 and w.
102
What is the common denominator of -45/8 and (2082249/8008)/37 + (-5 - 2)?
616
What is the lowest common multiple of (15/(-9))/(((-6)/(-39810))/((-9)/75)) and 22?
29194
Let y be (-32)/6*(-270)/(-40). Let h = 63 + y. Suppose 0 = 169*q - 170*q + 9. Calculate the lowest common multiple of h and q.
27
Let w = -242184 - -154271177/637. Find the common denominator of 19/8 and w.
5096
Calculate the common denominator of -133/648 and 11968/4320 - 3/1 - 2/(-6).
3240
Let i = -37000 + 37016. What is the least common multiple of 9130 and i?
73040
Let s = 2318 - 3667. Let u = s + 14823/11. Calculate the common denominator of u and (40/50)/((-22)/130).
11
Calculate the smallest common multiple of ((-3)/(-9))/(1/(-6190)*20/(-72)) and 8.
14856
Calculate the smallest common multiple of 15 and 2/(104/(-39))*-1188.
4455
Let i = 12659 + -10330. Calculate the smallest common multiple of i and 85.
11645
Suppose 1443 = r - 3*p, 5*r + 11*p = 10*p + 7247. Calculate the lowest common multiple of r and 189.
4347
Let k be 0 - -2 - (-2 - (-1292)/91). Let m = -10113/910 - k. Calculate the common denominator of 67/104 and m.
520
Calculate the common denominator of (-16)/56 - (-95)/252 and 71/28.
252
Let z = -32011/8 - -2080469/520. Let d = 6781/298 - 3/596. Find the common denominator of z and d.
260
Let z(w) = -50*w - 2888. Calculate the smallest common multiple of z(-62) and 424.
424
Let d = -5 - -10. Let u = 321 - 678. Let x = 367 + u. Calculate the least common multiple of x and d.
10
Let h be (2*12)/(-3 + 5). Suppose -5*n - 26 = q, 7*q - 9*q - 2*n = h. What is the common denominator of (-103)/7*q*14/60 and 71/6?
30
Suppose 5*g - 15 = o, -2*o + g = -3*g + 30. What is the least common multiple of 60 and (3 - (-25)/o)/(8/54)?
180
Suppose 89 + 883 = 6*u. What is the smallest common multiple of 108 and u?
324
Let n = 229267/80 + -2866. Find the common denominator of n and 55/452.
9040
Let u(r) = 907*r - 2699. What is the least common multiple of u(3) and 2448?
26928
What is the common denominator of (-6040)/3160*2/24 and 54/7?
6636
Calculate the common denominator of 9/539 and (1*114/(-9))/(1599/9 - -2).
539
Calculate the least common multiple of 9 - ((-48)/8 + 20)/2 and -3 + 2 - 297/(-9).
32
Let n = 387 + -171. Calculate the least common multiple of 12 and n/14 + (-54)/126.
60
Let d = 47933554/34265 - 15388/11. Let x = d + 12587/1246. Let a = -1913/24 + 605/8. What is the common denominator of a and x?
60
Suppose -1118*w = -910*w - 21632. Calculate the smallest common multiple of w and 5980.
11960
Let w = -314 + 321. What is the smallest common multiple of 121/(-3 + (w - 3)) and 99?
1089
Let p = -1963/140 + 127/14. Find the common denominator of 413/(-1820) + ((-3)/(-234))/((-2)/(-12)) and p.
20
Suppose -1 + 3 = p + 2*w, 4*p - 5*w - 47 = 0. Find the common denominator of p/(-6) + 5 + 1865/(-120) and -67/6.
24
What is the lowest common multiple of 42 and ((86 - 2)*6/(-10))/((-104)/520)?
252
Let k = -9390 - -9537. Suppose -2*r + 4*l = -0 + 2, -l = 5*r - 17. Calculate the lowest common multiple of k and r.
147
Let w = -4319/5 - -858. What is the common denominator of w and ((-6864)/220 - -32)*(-13)/(-14)?
35
Let u = 3791 - 2921. What is the lowest common multiple of u and 435?
870
Let l = -283393/423930 + 172/1087. Calculate the common denominator of l and -3/1105.
6630
Let c be ((-4)/(-630))/(1/114519). Let p = -2294751/7 - -327099