ppose -4*l + 37 = 8*h - 3*h, 22 = l - 3*h. Suppose 0 = 4*s + 5*w - 9 - 40, s - 13 = -2*w. What is the least common multiple of l and s?
143
Suppose 0 = 7*i - 4*i + 6. Let q(y) = -3*y**3 - y**2 - y - 1. Let u be q(i). Suppose 0 = 5*w - u + 1. What is the smallest common multiple of 2 and w?
4
Find the common denominator of 29/4 - (24/18)/(-4) and -71/12.
12
Let m(s) be the third derivative of s**6/120 + s**5/12 - s**4/12 + s**3/2 - 2*s**2. What is the lowest common multiple of m(-3) and 6?
54
Let b = 47 + -26. Let w = b + -19. Calculate the smallest common multiple of 41 and w.
82
Let o = 281 - 143. What is the smallest common multiple of 12 and o?
276
Let x = 7329463/474 + -46388/3. Calculate the common denominator of x and -89/30.
2370
Suppose -k - k + 18 = 0. What is the lowest common multiple of 9 and 297/(-6)*(-6)/k?
99
What is the common denominator of -37/2 and (-1)/4 + -1 + 3311/770?
20
Suppose 0 = b + 38 - 53. Let o = -15 + b. Suppose o*m - 14 = -2*i - 2*m, -i + 3*m = -23. What is the smallest common multiple of 3 and i?
33
Suppose -4*h = 95 + 385. What is the common denominator of -113/6 and ((-82)/6 + 1)*(-70)/h?
18
Let d = -13 + -11. Let b = d + 381/16. Calculate the common denominator of b and -79/16.
16
Let l(j) = j + 14. Let f be l(-14). What is the lowest common multiple of 14 and 1 + 2 + f + 15?
126
Suppose -249*c + 241*c = -16880. What is the lowest common multiple of 20 and c?
4220
Let n = -12081/8 + 1513. Let m be 4/10 - 4016/10065. Let b = m - -34213/8052. Calculate the common denominator of n and b.
8
Find the common denominator of (-1 + 11/33)/((-160)/(-42)) and -33/152.
760
What is the common denominator of 79/50 and (1 + (-10)/3)*(-63)/45?
150
Let f(i) = -2*i. Let u be (2 - 2)*(-1)/2. Suppose -7*z + 10*z - 54 = u. What is the smallest common multiple of z and f(-11)?
198
Suppose -i - 36 = 3*i. Let r(h) = 9 - h**3 - 12*h - 22 - 10*h**2 + 0*h**2. Calculate the smallest common multiple of r(i) and 16.
112
Find the common denominator of 3 + -1*(-147)/(-12) and (4/(-8))/((-2)/(-73)).
4
Let u be (6/(-4))/(72/48). What is the common denominator of 3 - 3 - (-20)/28 and u/(-8)*32/24?
42
Suppose 0 = 3*x + 2 - 8. Suppose -2*l - o = -9, 2*l + x*o = -0 + 6. Calculate the least common multiple of 5 and l.
30
Find the common denominator of (218/(-15))/(42/(-15) + 6) and -85/24.
24
Calculate the common denominator of (-1)/7*1*7/(-7) and 59/138.
966
Calculate the lowest common multiple of 34 and 68 - 0/(1 - 4).
68
Let j(h) = -5*h**2 + 24. Calculate the smallest common multiple of j(0) and 48.
48
Suppose 5*x = 2*x + 1410. Let a = x + -3272/7. What is the common denominator of 93/8 and a?
56
Suppose -2*t - 22 = -s, 3*t + 2*s = -30 - 3. What is the least common multiple of -3 - t/((-11)/(-4)) and 4?
4
Let l(q) = q + 25. Let b = 1 + 6. Calculate the least common multiple of b and l(-17).
56
Let v = -33269/2990 - -8/299. Find the common denominator of -2 + 3*(-291)/(-198) + 1 and v.
110
Suppose x - 12*u + 9*u = 14, 2*x + u - 14 = 0. Let d = -41 - -61. Calculate the smallest common multiple of x and d.
40
Let c = 8 - 11. What is the common denominator of c/(-2)*48/132 and 40?
11
Let l be (-1)/(31/8 - 4). Suppose -4*i + l = -3*c, -2*i + 4 = 2*c - c. Calculate the smallest common multiple of 14 and i.
14
Let j be (-1038)/8*308/24. Suppose -12*r - 1658 = -13*r. Let h = r + j. Find the common denominator of h and -69/4.
8
Suppose -2*p + 0*p + 6 = 0, -5*p - 3 = -2*f. Suppose 160 = f*k - 191. What is the smallest common multiple of 18 and k?
234
Let y(v) = v**3 - 19*v**2 - 22*v + 41. Let l be y(20). Calculate the common denominator of -27/14 and (-405)/(-18)*(2/(-12))/l.
28
Let r = 10 + -16. Let b(u) = u**3 + 5*u**2 - 5*u + 11. Let o be b(r). Suppose -z + o*z = 88. Calculate the lowest common multiple of 20 and z.
220
Suppose 3 + 7 = s. Suppose -14*y + 48 = -s*y. Calculate the smallest common multiple of y and 74.
444
Calculate the common denominator of 4/48*20/(-6) and (-52)/(-176)*10 - 5.
198
Find the common denominator of 46/159 and 225/(-100)*388/(-18)*1.
318
Let y = 4234 + -101581/24. Calculate the common denominator of -99/2 and y.
24
Let h(n) = 2*n**2 - 25*n + 123. What is the lowest common multiple of 42 and h(9)?
420
Let q = 1/50 + -253/150. Suppose -t + 2*s + 14 = t, 0 = -t + 2*s + 10. What is the common denominator of ((-549)/t)/(-3)*8/60 and q?
30
Let v(p) = -14*p**2 - 2*p + 2. Let g be v(-3). Calculate the common denominator of (g/10)/(-4 + 132/15) and -2/9.
72
Suppose -2*c - 32 = -2*i, 2*i + 2*c - 36 + 4 = 0. Suppose -111 = 6*o - 3*o. Let w = -21 - o. What is the smallest common multiple of i and w?
16
Let n = -101245 - -8504695/84. Calculate the common denominator of n and -38/21.
84
Let d be -2*(-27)/4809*394. Let t = 1/229 + d. Let o = -1334/3 + 10843/24. What is the common denominator of t and o?
56
Let q = -500531/110 + 50046/11. What is the common denominator of -57/253 and q?
2530
Let q = 42727/6 - 7097. Let r(p) = 5*p + 8. Let o be r(12). Calculate the common denominator of (o/12)/((-32)/(-18)) and q.
48
Let q = -6766 - -148821/22. What is the common denominator of q and (-1420)/(-88)*-7*(-12)/(-420)?
22
Let c = -1331 + 1335. Calculate the lowest common multiple of c and 550.
1100
Find the common denominator of (-623)/168 - ((-6)/1 - -2) and -64/63.
504
Let b = -3031 - -181871/60. Calculate the common denominator of 91/36 and b.
180
Let n = -35 + 40. Suppose h - 17 - n = 0. What is the smallest common multiple of h and 22?
22
What is the common denominator of 51/4 and 4/30*-9*5/(-22)?
44
Suppose -k = -3*m - 30, -2*k + 3*m = 2*k - 102. Calculate the lowest common multiple of 2 and (k/8)/(3/24).
24
Find the common denominator of 37/759 and 45/30*(-44)/(-9).
759
Let d(h) = 3*h - 6. Let b be d(8). Suppose 3*t + b = -0*t. Let x(z) = -2*z + 2. What is the lowest common multiple of x(t) and 6?
42
Suppose 4*g = -4*m + 72, -2*g = -10 + 4. What is the lowest common multiple of 15 and m?
15
Let w = -87 - -99. Suppose -4*d + 5 = 5*x - 8, d - x = 1. Suppose 5 = 5*u, 2*u - d + 22 = g. What is the smallest common multiple of g and w?
132
Let q be 3990382298/1795690 - (-3 + 4). Let w = -2/179569 - q. Let v = w + 133697/60. Calculate the common denominator of -113/20 and v.
60
Let d = 2 + -10. Let u(i) = -i**2 - 15*i - 12. Let a be u(d). Suppose -2*w - 4 + a = 0. Calculate the lowest common multiple of w and 4.
20
Suppose 4*d - 6*d - 18042 = 0. Let k = 126237/14 + d. Find the common denominator of -55/4 and k.
28
Suppose -60 = -4*k + 3*x, 2*x + 3*x = -3*k + 16. Suppose -3*q + 6 + 6 = 0. Calculate the least common multiple of k and q.
12
Suppose 0 = 2*p + l + 37, 2 = -p - 5*l - 21. Calculate the common denominator of 0 - (149/p - 3/(-6)) and -53/15.
45
Let k be 8/(-6) - 972789/(-130860). Let j = -36/727 - k. Let m = 6105/944 + -105/59. Calculate the common denominator of j and m.
80
Let j = -386 - -1676. Calculate the lowest common multiple of 18 and j.
3870
Suppose 0 = -3*i + 1 + 11. Suppose 0 = -2*o + o. Suppose o = 2*w + 10, 3*z + w - 1 = 3. Calculate the least common multiple of i and z.
12
Calculate the lowest common multiple of -156*((-105)/20 - -5) and 21.
273
Let f = -1261/4 - -317. What is the common denominator of f and -32/13?
52
Let m(h) = 4*h**2 - 5*h + 2. Let w(o) = 11*o**2 - 14*o + 5. Let f(r) = 8*m(r) - 3*w(r). Let g = 5 + -3. What is the smallest common multiple of 13 and f(g)?
13
Find the common denominator of 212/(-270) - 72/(-120) and -71/18.
54
Let r = -9679/4 - -2438. Calculate the common denominator of -44/9 and r.
36
What is the lowest common multiple of 665 and (76/(-190))/(10/(-625))?
3325
Let m(q) = -5*q + 41. Suppose 9*j - 17*j = -32. What is the smallest common multiple of m(7) and j?
12
Let r be (-6)/8*1 - (-1269)/(-36). What is the common denominator of -1/16 and 191/24 + r/(-54)?
16
Suppose 0 = -5*u + 4*u - 3. What is the common denominator of (u/(-36))/(6/(-711)) and 16/7?
56
Let f(c) = c + 16. Let b be f(-13). Suppose 19 - 46 = -b*a. What is the smallest common multiple of a and 4?
36
Calculate the common denominator of 7/29 and (70/3 + 1)/(-1).
87
Calculate the common denominator of (-2)/(-80)*(-13875)/(-518) and -101/48.
336
Let g = 82443/7 + -11801. Let w = g - -573/14. Calculate the common denominator 