f 113/20 and 3604/680*2/32.
160
Suppose -8*k = -621 - 147. Calculate the lowest common multiple of k and 33.
1056
Suppose -d = -4*s - 5, -5*s - d - 4 = 9. Let j = -14400/11 + 289177/220. What is the common denominator of j and 1/((40/(-43))/s)?
20
Suppose 0 = 24*q + 10 - 154. Calculate the least common multiple of q and 111.
222
Let t(s) = -s**2 - 56*s + 145. What is the lowest common multiple of t(-57) and 22?
88
Let b = -799 + 839. What is the smallest common multiple of 100 and b?
200
Let i = -697 - -5597/8. What is the common denominator of 97/4 and i?
8
Let m = -11 + 31. Let v(y) = -y**3 + y**2 - 2*y + 91. Let k be v(0). Suppose 4*p + 0*u - 71 = -3*u, k = 5*p + 3*u. What is the least common multiple of m and p?
20
Let x = -2475899306/165 + 15005503. Let j = x - 734/15. Calculate the common denominator of j and -1 + 1 - 44/(-7).
77
Suppose -3*h = -5*i + 1308, -3*i + 6*h = 3*h - 786. What is the lowest common multiple of 29 and i?
261
Let a(f) = -3*f - 1. Let u be a(0). Calculate the common denominator of (u/(-6))/(3/(-51)) and 85/18.
18
Find the common denominator of ((-57)/(-38))/((-10)/(-64) + -1) and 31/14.
126
Suppose -3*x - 9 = -2*h, -2*x + 53 = 3*h + 20. Calculate the least common multiple of h and (2/(-3) + 2)*42/56.
9
Let z(s) = -3*s**2 - 18*s + 35. Let t(n) = -n**2 - 9*n + 18. Let y(d) = 5*t(d) - 2*z(d). What is the smallest common multiple of y(6) and 23?
46
Let a = 24 + -14. Let s = a - -11. Suppose 7*v - 4*v - 3*x - s = 0, 0 = 2*x. Calculate the lowest common multiple of v and 2.
14
Let r(b) = -b**3 + 7*b**2 - 4*b - 4. Let m be r(6). Suppose -3*y = -5*y + m. Calculate the least common multiple of (-2)/(-12) - (-47)/6 and y.
8
Let i be (-1)/(2/(-1 - 141)). Calculate the common denominator of 79/2 and 35/42*i/5.
6
Let o(j) = j**2 - 6*j - 25. Let p(r) = -r**2 - 3*r. Let f be p(-3). Calculate the common denominator of -43/10 and o(f).
10
Suppose 0 = -107*b + 100*b + 42. Calculate the smallest common multiple of b and 6.
6
Suppose 10 = -2*y, k - 32 = -0*k - 4*y. What is the common denominator of 2/((-7)/(-27) - 1) and 4 + 0 + (-212)/k?
130
Let z = -762815/136 + 5609. Calculate the common denominator of 43/32 and z.
544
Let r(t) = t**2 + 29*t + 154. Calculate the lowest common multiple of 1040 and r(-6).
1040
Suppose 0 = -3*q - 4*a - 2, -2*q - 5*a = 2*q + 1. Suppose -71*x + 162 = -53*x. What is the lowest common multiple of q and x?
18
Let b = -16/225 - -11603/1800. Calculate the common denominator of b and (((-36)/(-7))/(-6))/((-16)/434).
8
Suppose 16*m - 313 = -281. What is the least common multiple of 11 and m?
22
Suppose -2*s + 5*z + 18 = 0, -4*z - 10 - 2 = -4*s. Let v = 14/2379 - 38347/3172. What is the common denominator of (159/14*s)/3 and v?
84
Let l = 310 + -308. Calculate the smallest common multiple of 115 and l.
230
Let u = -4 + 57. Suppose n + u = 4*x, -2*x + 0*x = -3*n - 39. What is the smallest common multiple of 1 and x?
12
Let f(t) = 8*t - 6. Let n be f(-8). Find the common denominator of -33/4 and (-3)/5 - 177/n.
28
Suppose 67*g - 62*g - 2*m - 833 = 0, -845 = -5*g + 5*m. What is the smallest common multiple of 30 and g?
330
Let l(a) = -a**3 + 10*a**2 - 13*a + 30. Let m be l(7). Let h = m - 555/7. Let c = 1/225 - 8327/450. What is the common denominator of c and h?
14
Let r be 91652/(-8) + (-2)/4. Let s = r + 229201/20. What is the common denominator of s and -69/2?
20
Let t = 4403/5 + -886. Let r be ((-4)/(-10))/(1/(-5)). Find the common denominator of t and r/(-4) - 107/(-14).
35
Let s = 44/327 + 5137/436. What is the common denominator of (14/(-24))/7*-158 and s?
12
Let s = -74 - -131. Let l = s + -55. Calculate the lowest common multiple of l and 14.
14
Suppose -11 = -j + 2*t, 3*j + j - 66 = -3*t. Calculate the least common multiple of j and 260.
780
Find the common denominator of (286/(-252) + 0)/((-19)/57) and 1/5 + (-835)/150.
210
Let j(q) = 4*q**2 - 4 + q**2 + q + 3 + q**3. Suppose -51 = -12*z + 33. What is the smallest common multiple of z and j(-4)?
77
Suppose 8*h - 5*h - 24 = 0. Let j(u) = u**3 - 5*u**2 + 2*u - 5. Let y be j(5). Suppose y*t = 41 - 1. Calculate the lowest common multiple of t and h.
8
Suppose 966 = -7*g + 1071. Suppose -5*j = y + 5, 5*j = 3*y - 0*y - 25. What is the least common multiple of g and y?
15
Let y = -2703/4 + 675. Calculate the common denominator of y and -71/240.
240
What is the common denominator of 37/27 and (14/28)/((-81)/(-366))?
27
Let z = 24 - 20. Suppose -198 + 102 = -z*s. Find the common denominator of (2/(-14))/(4 - 5) and s.
7
What is the common denominator of (-4 + 1036/198)/((-32)/24) and 43/9?
198
Let m be (-13900)/(-5894)*20/(-15). Let x = -28968166/1263 + 22936. Let w = x + m. Calculate the common denominator of 3/20 and w.
140
Let j = 12 - 7. Suppose j*a = -114 - 486. Find the common denominator of -47/3 and ((-6)/a)/(1/94).
30
Let l be (-1825)/(-15) - (-2)/(-3). Let o = l - 85. Calculate the lowest common multiple of 2 and ((-2)/(-6))/(4/o).
6
Let v(h) = h - 2. Let u be v(-4). Let l = 12 - u. Let d = -279 - -301. What is the least common multiple of d and l?
198
Find the common denominator of (-12 - -5) + (-2864)/(-396) and -46/63.
693
Let j(v) = v**3 + 2*v**2 + 2. Let o be j(-2). Let m be (-2373)/3*2/o. What is the common denominator of m/(-98) - 6/4 and 53/11?
77
What is the lowest common multiple of 51 and (36/(-10))/(5 + 4527/(-900))?
2040
Let z = -470751/43190 + -2/4319. Find the common denominator of 4/10 - (-3)/130 and z.
130
Suppose 2293*b - 2300*b + 70 = 0. Calculate the smallest common multiple of b and 107.
1070
Let k = 12926 + -465437/36. Calculate the common denominator of k and -131/36.
36
Let b = -6/41 - 638/123. What is the common denominator of -8/119 and b?
357
Suppose -5*z - 32*l = -30*l - 9, -3*l = -3*z + 18. What is the lowest common multiple of 187 and z?
561
Suppose 136 = -19*d + 36*d. Calculate the lowest common multiple of d and 41.
328
Let r = 7 - 5. What is the smallest common multiple of 3 and r?
6
Suppose 3*s + 0*s = 18. Suppose 11*y = s*y + 25. Suppose n = -y*z + z + 21, 2*n = 4*z + 6. What is the lowest common multiple of n and 1?
9
Suppose -2 = s, 4*s + 369 + 431 = q. Calculate the smallest common multiple of q and 12.
792
Let q be 24/(-36) - (-2 - 5110/24). Let j = 222 - q. Calculate the common denominator of j and -47/8.
8
Calculate the smallest common multiple of 44 and (-1624)/(-140) + (16/(-10) - -2).
132
Let q(f) = -f**3 - 10*f**2 + 9*f - 14. Suppose -5*v + 12 = -18. What is the least common multiple of q(-11) and v?
24
Let o be (20/(-24))/(-5) + (-37438)/(-2568). Let v be 2/8*2/107. Let g = o + v. What is the common denominator of -23/10 and g?
20
Let o(t) = 2*t**2 - 4*t + 1. Suppose c + 4*c - 2*x = 165, 5*x = 25. Let k = c - 31. What is the smallest common multiple of o(3) and k?
28
Let u be (-8)/44 - 493/11. Let k = u - -84. Calculate the smallest common multiple of 10 and k.
390
Let g = 746111738495536/24155 - 30888500859. Let f = g - 2/4831. What is the common denominator of f and -70/9?
45
Let t = -115603/5826 + 9/971. Let l = 242937/40 + -24301/4. What is the common denominator of t and l?
120
Let f = -3/1531 + 117905/9186. What is the common denominator of 1/(-5)*664/(-32) and f?
60
Let w be 3872830/1560 + -1*(-4)/(-1). Let v be (4976/1)/(-2) - -1. Let d = w + v. What is the common denominator of 11/32 and d?
96
Suppose 4*z - 5*d = 56, 5*z = 4*d - 15 + 85. Suppose -n + 6 = -z. Suppose 0*t = 4*t - n. Calculate the lowest common multiple of t and 4.
20
Suppose -3*d + 3*p + 10 = -2, -4*p = 4*d. Suppose -d*c + j + 18 - 6 = 0, -15 = -c + 5*j. Find the common denominator of -7/22 and 34/c + 1/(-2).
110
Let q = -7837/36 - -1940/9. Find the common denominator of -13/72 and q.
72
Suppose n + 6 = 4*n. Let y(d) = -d + 7. Suppose 5*j - 2*f = -39, 2*j + 5 = 2*f - 13. What is the lowest common multiple of n and y(j)?
14
Suppose -3 = 5*z - 2*z. Let o = 2/3245 - 12851/1298. Find the common denominator of (231/18 - z) + 0 and o.
30
Suppose 6*z + 12 = 8*z + 3*w, -3*z = 2*w - 18. What is the smallest common multiple of z and 24?
24
Let u = 0 + 2. Suppose 2*t - 4*s + u*s + 4 = 0, 4*t = 3*s - 7. Calculate the common denominator of (-1)/(t - (-28)/20) and -91/2.
2
Suppose -1 = 2*i - 97. Let w = -335/7 + i. Find the common denominator