Let l = -297 - z. Suppose 2*b - a - 22 = -3*a, 68 = 4*b - 4*a. Calculate the lowest common multiple of b and l.
126
Let x = -21559/4310 - -44/431. What is the common denominator of -39/4 and x?
20
Let y(o) = o**3 - 12*o**2 - 68*o + 68. Suppose 0*j = -3*j - 2*q + 12, 0 = -j + q - 1. What is the smallest common multiple of y(16) and j?
4
Let d = -886628/33 + 26865. Find the common denominator of d and 6/187.
561
Let u = -142895/8 - -17869. Calculate the common denominator of u and 91/102.
408
Let s(j) = 6*j**2 + 3*j - 4. Let l be s(1). Suppose -l*h + 76 = p, -3*h + 380 = 5*p + h. Calculate the least common multiple of 8 and p.
152
Let k(w) = w**3 + 4*w**2 - 6*w - 7. Let u be k(-5). What is the least common multiple of 1 + 6/4 + (-28)/1512*-27 and (-1)/(u - -1)*6?
6
Suppose 0 = 13*g - 11*g - 10. Suppose 0*k + 97 = 3*k + g*o, -4*k + 172 = -4*o. Find the common denominator of 61/6 and (-10)/(-25) + k/540.
36
Let c = -16 + 37. Let d = 186 + -166. Suppose -19*z = -d*z + 21. What is the lowest common multiple of z and c?
21
Let w = -11/30 - 287/240. What is the common denominator of w and (7/14)/(10/19)?
80
Let l = -5934/31 + 183011/930. What is the common denominator of l and (4 + -8 + 37)*28/(-105)?
30
Let d = 42590/3 + -2044223/144. Calculate the common denominator of -31/108 and d.
432
Suppose -p + 1017 = 3*a, -2*p - 44*a = -43*a - 1999. Calculate the least common multiple of p and 132.
10956
Let c = -357/4 + 1033/12. Let h be 3 - 4/1*111. Find the common denominator of c and (-2)/(6/h*-6).
6
Let k = -59673039/2260 + 26404. Let c = k + 102827/6780. What is the common denominator of (-10)/350*-117 - 3 and c?
210
Let g(m) = 86*m**2 + 294*m + 2376. Calculate the lowest common multiple of g(-8) and 16.
11056
Find the common denominator of (15 - (-82175)/(-5472))/((-6)/(-88)) and 109/162.
648
Let m = 717493670 + -1377587876641/1920. Let p = m - -1/1920. What is the common denominator of p and -103/20?
20
Suppose -98 = 8*n - n. Let w = -8 - n. Suppose -w*s + 2*s = -48. Calculate the smallest common multiple of 10 and s.
60
Let y = -346597/36 + 9631. What is the common denominator of 4 + 592/(-36) + 4 and y?
36
Suppose y = 4*n + 3, 4*y - 31 = -4*n + n. Suppose t - 4*i - 21 = 0, -y*t + 6*t = 3*i. Calculate the lowest common multiple of t and 66.
198
Suppose -19*o - 11*o + 168 = -18*o. What is the lowest common multiple of o and 791?
1582
Let z be (-88)/(-42) + 6/(-63). What is the common denominator of 5*((-56)/5 + z) + 2 and 1589/385 + (-6)/15?
11
Suppose -2*h - 34 = -3*d, 0*d + 3*h = 4*d - 46. Suppose 2*q = -2*r + d, -5*q - 43 - 2 = -2*r. What is the lowest common multiple of 20 and r?
20
Let w(z) = -z**2 - 61*z - 890. Suppose -3*x + 3*q + 261 = 0, 2*x = -4*q - 0*q + 192. What is the least common multiple of w(-35) and x?
180
Let c be -4 + (-180)/(-22) + (-10)/55. Suppose -24*h = -28*h + c. Let q = h + 5/3. What is the common denominator of 41/24 and q?
24
Suppose 6*l = q + 4*l - 44, -2*q + 2*l = -92. Let o = -759 - -765. Calculate the smallest common multiple of q and o.
48
Suppose -5*x = 2*w - 10, -w + 5 = -3*x - 0*w. Suppose x*d = d - 4. What is the smallest common multiple of d and 4*(3/(-5))/((-150)/875)?
28
Let o = 94 + -90. Find the common denominator of ((-95)/4)/((-1)/(-2)) and (o + (-508)/30)/(144/20).
54
Calculate the common denominator of -83/312 and ((-1540)/(-1716))/(6/(-6 + 3)).
312
Let i = 909/4 - 35423/156. Calculate the common denominator of 8/11 and i.
429
Let a = -598 + 594. Calculate the common denominator of 45/17 and ((-304)/(-133))/(a/8).
119
Let c(q) = 1127*q - 25967. Calculate the common denominator of c(23) and ((-138)/40)/(-3)*6.
10
Let n(v) = -18*v**2 + 4*v - 2. Let g be n(1). Let p = g + -40. Find the common denominator of 79/69 and 16/p*(-1267)/(-60).
690
Suppose -1907 = 12*o - 4259. What is the smallest common multiple of o and 266?
3724
Let u = 19892095/12 - 1656135. Let a = -1/606336 - 947551583/606336. Let l = a + u. Calculate the common denominator of l and -63/8.
24
Let k be (-66 - -2)/(8 + 378/(-49)). Let l = k - -254. Calculate the least common multiple of 21 and l.
210
Calculate the least common multiple of 56 and -17*1*8*(70 + -74).
3808
What is the least common multiple of 28 and ((-312)/(-16))/((-30)/(-140))?
364
Let q = -3287010 + 62620827528/19051. Let j = -482980790/171459 - q. Let l = j + 2814. Find the common denominator of 151/6 and l.
18
Let a be ((-36)/(-81))/(2/18). Suppose -g + 3 = 0, -a*p - 4*g + 70 = -254. What is the smallest common multiple of 78 and p?
78
Let n = 2198 + -2162. Suppose 8 = q + z, -12 = -3*z + 3. What is the lowest common multiple of n and q?
36
Suppose -8*n + 14*n = 18. Suppose 256 = -2*w + 4*b - 0*b, -4*b = -n*w - 376. What is the lowest common multiple of 102 and (-1)/((-3)/w*-2)?
1020
Suppose -24*r = -2*l - 20*r + 3660, 3*r + 1821 = l. Calculate the lowest common multiple of 238 and l.
31416
Let v = -21842979/8638 - -569/617. Let t = v - -2530. What is the common denominator of t and 97/160?
1120
Suppose -51 = -3*h + 51. Let a = h + -7. Let p = 3157 + -3151. Calculate the smallest common multiple of a and p.
54
Let j(b) = b**2 + 16*b + 28. Let d be j(-14). Let x(w) = d*w + 24 + 0*w + w. What is the smallest common multiple of 8 and x(-16)?
8
Suppose -36*m + 4968 = -9*m. Calculate the lowest common multiple of m and 644.
1288
What is the common denominator of 11*-2 + (-2880871)/(-130424) and 19/4384?
4384
Let z(q) = q**3 + q**2 + 5*q + 17. Let m be z(-5). Let c = -15878 + 476467/30. Find the common denominator of c and -7 + (-603)/m + -1.
60
Suppose 0*j - 45 = -5*o + 5*j, 4*o - 41 = -j. Let t be (1/517)/(o/130). Let h = -17321/10340 + t. Find the common denominator of 35/6 and h.
60
Let j(z) = 90*z - 1245. Calculate the smallest common multiple of 159 and j(15).
5565
Calculate the lowest common multiple of (-16)/(-6) + ((-40)/(-12))/(-5) and (-8)/(-1) - (58 - 6)/13.
4
Let m(x) = 11*x**2 - 649*x + 1294. Suppose 3*c = k + 77, -4*c + 5*k = c - 145. Calculate the smallest common multiple of m(2) and c.
120
Let x(o) = 5*o + 302. What is the lowest common multiple of 312 and x(-37)?
936
Let o = 41977496/315 + -133262. Find the common denominator of o and -43/30.
630
Let f(s) = s**3 - 8*s**2 + 15*s. Let x(c) = 3*c - 6 - 7 - c + 49. Let i be x(-15). What is the least common multiple of f(i) and 12?
36
Let n = 2062349/63 - 32737. Calculate the common denominator of n and -34/553.
4977
Suppose -32*f + 159712 + 93344 = 0. Calculate the smallest common multiple of f and 18.
23724
Suppose -159*u - 333 = -27*u + 63. Let n(o) = -116*o**2 + 4*o + 3. Let g be n(-2). Find the common denominator of 5/6 and u/(252/g)*(-4)/10.
30
Let p(n) = -n**3 - 10*n**2 + 11*n + 2. Let b be p(-11). What is the least common multiple of 1*(5 + (-2 - -4)) and ((-340)/(-72) - 8/36)*b?
63
Suppose 3*g + y - 2*y + 2 = 0, -5*g = -5*y + 20. Find the common denominator of (g/(-12))/(-1 + (-531)/(-534)) and 2/10 - (-1647)/990.
66
Suppose 4*j = 12*j - 9064. Let k be ((-22)/j)/((-168)/(-51334)). Let w = k + -1/7210. Find the common denominator of 49/15 and w.
15
Suppose 452*a + 54*a - 5060 = 0. Suppose -238 = -3*g - 4*n, 5*g - 2*n + n = 412. Calculate the smallest common multiple of g and a.
410
Let j = 4030/7021 - 32/119. Let h = 1229/354 - j. Find the common denominator of -23/28 and h.
84
Let a be (8/32)/((-1)/(-16)). Suppose 0*w = 5*w - y - 7, 4 = -a*w + 4*y. Find the common denominator of (w/10)/((-16)/12) and 23/4.
20
Let y = -13316/9 - -1466. Let g = y - -331/18. Calculate the common denominator of ((-628)/(-18))/((-60)/(-9)) and g.
30
Let z(x) = x**3 - 10*x**2 + 3*x - 25. Let v be z(10). Suppose -20 = -f - 2*r, 0 = 5*f - 10*f + v*r + 100. Calculate the least common multiple of f and 12.
60
Let m = -40231 + 40238. What is the least common multiple of 21013 and m?
147091
Let z = 136 - 135. Calculate the smallest common multiple of 0 + 45 + 0 + 1 and 30/(-12)*(z + 145/(-25)).
276
Suppose -8*k = 154 + 542. Find the common denominator of 2 and ((-19169)/(-174) + (-2)/3)/k.
58
Suppose -17*a - 1189 = 7294. Let d = -488 - a. What is the lowest common multiple of d and 21?
231
Suppose 42*u - 37*u = -45. Calculate the common denominator of (-2)/u + ((-247973)/22176 - -11) and -19/22.
2464
Let b(t) = -48*t - 122. Calculate 