Let d(o) = -4*o - 2. Suppose 0 = q + 5*b - 47, -5*b = -2*q + 30 + 4. Calculate the least common multiple of d(-2) and q.
54
Let u(y) = 5*y + 2. Calculate the smallest common multiple of u(5) and 28 + ((-50)/(-12))/(-25) + 30/(-36).
27
Suppose 0 = 398*a - 391*a - 1064. Suppose 3*f = -5*g + 4*f + a, 148 = 5*g + f. What is the least common multiple of 42 and g?
210
What is the lowest common multiple of 222 and -2 + 2 - -4 - (-745 - (-8 - 1))?
2220
Let f = -1/9066 - -285595/145056. Suppose -3*y - 2*r + 6*r - 6854 = 0, 4*y + 3*r + 9147 = 0. Let k = 9241/4 + y. Calculate the common denominator of k and f.
32
Let k = 2644 - 2643. What is the common denominator of 5/202 and k?
202
Suppose 4*a - 12 = 3*a. Suppose -30*n = 3*n - 463 - 2309. Calculate the least common multiple of a and n.
84
Let t be 1*(-2 - -1) + 12 + -11. Let y be (-2 + 1)/((-1)/81). Suppose 2*b - 11*b + y = t. What is the smallest common multiple of b and 11?
99
Let z = 5634867/347320 - -10/8683. Let r be (-258)/(-16) + (-9)/(-6). Let b = z - r. Find the common denominator of 123/20 and b.
20
Let i(a) = -46*a + 7. Let v be i(3). What is the common denominator of 3/(-9) - v/132 and (-426)/48 + (-2 - -3)?
88
Let c = 12260221/90 + -136223. Find the common denominator of c and 67/1860.
5580
Calculate the common denominator of 47/108 and 30/165 + (1814/(-176) - 2).
216
Find the common denominator of 11/16 and (315*(-4)/114 - -8)*(-3)/(-8).
304
Let k = 578057 + -743959310/1287. What is the common denominator of -23/702 and k?
7722
Let f = 47 - 38. Suppose 3*o = f*o - 84. Let a(t) = -17*t**3 + t**2 - t - 1. Calculate the least common multiple of a(-1) and o.
126
Let d(v) = -182*v - 1082. Let y = 3 - -5. What is the lowest common multiple of d(-6) and y?
40
Let d be 6/12*-8*134/(-8). Let h = d - 158. Let n = h + 109. What is the smallest common multiple of 27 and n?
54
Suppose -3091 - 1776 = -3809*p + 3030 - 279. Suppose k + 4*k = 2*q - 877, 0 = 3*q + 2*k - 1306. What is the lowest common multiple of p and q?
436
Suppose 3*l - 5*g - 110 = 0, l - 5*g + 23 = 53. Let v(s) = s**2 + 5*s + 4. What is the smallest common multiple of l and v(-8)?
280
Let a = 6/689 + 22641/11024. Let l(o) = 2*o**3 + 9*o**2 - 3*o - 7. Let s be l(12). Let q = s - 33016/7. Find the common denominator of a and q.
112
Let y = 238339/511750 + -63/2875. Calculate the common denominator of 101/10 and y.
890
Let g = 204647/54 - 3789. What is the common denominator of g and 133/1242?
1242
Let f = -90 + 163. Let r = -18 + f. Calculate the smallest common multiple of r and 50.
550
Let b(s) = 27*s**3 - 2*s - 2. Let g be b(3). Let j = 5057/7 - g. Find the common denominator of ((-9)/(1215/(-190)))/((-2)/(-6) + -1) and j.
63
Let g = 832 + -386. Let k be g/(-30) - 58/435. Find the common denominator of -81/8 and (k/20*-214)/27.
72
What is the common denominator of 457/(-105) - 158/(-2370) and 2 - (-4)/(72/345)?
42
Suppose 27*r - 10918 - 21444 = -6118. What is the smallest common multiple of r and 288?
7776
Suppose 24*f - 1445 = 22171. Calculate the lowest common multiple of 18 and f.
2952
Let n(t) = t + 5. Let a be n(-2). Let p be (2/(-6)*-3)/(a/36). What is the common denominator of p/(-58)*5/300*4 and 53/5?
145
Suppose -2*t = -4*n + 5*n - 9, -2*t + n = -3. Suppose -3*z = t*c - 6, -4*z = -3*c - c + 16. What is the common denominator of (5/(-3))/((-2)/(-5 + z)) and 3/10?
10
Let i = -25951 - -1401217/54. Let b(f) = f**2 - 6*f + 4. Let p be b(4). Calculate the common denominator of (-171)/(-42) + 2 + p and i.
378
Let m be 107/2 - 10/20. Suppose -m = -a - 51. Suppose 4*i + 5*p = 1 + 2, 0 = 2*p + a. What is the lowest common multiple of 11 and i?
22
Let n = 10214/3 - 204227/60. Find the common denominator of n and -79/1752.
8760
Let i = -48/17611 + -1268467/6287127. What is the common denominator of -59/153 and i?
1071
Let s(i) = -8*i**2 - 68*i + 11. Let b be s(-9). Find the common denominator of 1/(22/(-46))*5/b and -49/25.
275
Suppose -24*r - 22806 = -3*r. Let d = r - -47769/44. Let n = -6765 - -60809/9. Calculate the common denominator of d and n.
396
Suppose -61*p - 97*p = 34325 - 202121. What is the lowest common multiple of 472 and p?
4248
Let k = 162363/26 + -6244. Suppose -146*x + 147*x + 1 = 0. Find the common denominator of k and (151 + x*2)/((-300)/25).
156
Let l(q) = -q**3 + 3*q**2 - 3*q + 11. Let b be l(3). What is the lowest common multiple of 67 and ((-1)/b)/((-21)/294)?
469
Let v be 9/27*12 - (0 + 0). Suppose -5*b = -25, v*f - 5*f = 3*b - 43. What is the lowest common multiple of 20 and f?
140
Calculate the common denominator of 863/(-154) - 2/11 and (((-578)/(-21))/(-17))/2.
42
Suppose -159836*l + 4796 = -159834*l. Calculate the lowest common multiple of l and 44.
4796
Suppose 4*d + 96 = -2*x + 200, 4*x - 158 = 2*d. Calculate the least common multiple of 133 and x.
798
Let v be (-2)/12*2*(5 + 4). Find the common denominator of 0/(-2) + v + 238/20 and -21/22.
110
Let j be 37/((9/30)/((-36)/(-10))). Suppose 7*g + j = g. Let v = 98 + g. What is the smallest common multiple of v and 15?
120
Find the common denominator of 25/22 and -4*(-10)/(-60)*86*4/(-1600).
3300
Suppose -2*d = 2*x - 2738, 236*x - 232*x + 6809 = 5*d. Calculate the least common multiple of d and 24.
10920
Let v = -15844 - -15905. Let a = -12 + 17. Calculate the smallest common multiple of v and a.
305
Let b = -2384/2077 - -103/124. Calculate the common denominator of b and (-12)/(-4) - (17546/620 - 2/15).
804
Let b = 2954/5 + -70261/120. Let p = -1/4306 + 11849/32295. Calculate the common denominator of p and b.
120
What is the common denominator of -121/48 and (40180/273)/(-10) + 14?
624
Let r(z) = 205*z**2. Suppose -7*j - 22*j + 6890 = 6745. What is the smallest common multiple of r(-1) and j?
205
Suppose -3*z - 13 = -2*r - 45, -41 = -4*z + r. Let m(h) = -13*h - 62. Let q be m(9). Let d = q + 197. What is the least common multiple of z and d?
90
Let h = 5435546 + -54401009/10. Let g = h - -4559. Find the common denominator of 218/40 - (-1 + 1) and g.
20
Let n be 0*((-15)/(-10) - 2) - -2. Suppose w + 3*y + 3 = 0, n*w - 3*w = y - 7. Calculate the smallest common multiple of 20 and w.
60
Suppose -3*s - 1718 = -a - 365, -5*a + 6850 = 2*s. What is the least common multiple of a and 15?
6840
Let b = 164805 - 97915. Find the common denominator of -51/20 and (-10 + b/6690)*(-78)/(-4).
4460
Let q be (1/(-332))/(7 + 552/(-80)). Let w = -1455/83 - q. Find the common denominator of w and 2/(-3) - (-92)/(-8).
6
Suppose 5*n + 0*n - 45 = 0. Suppose -n*w + 11 = -7. Find the common denominator of 85/16 and (-2)/((-396)/(-178) - w).
80
What is the least common multiple of -33*(-26)/286*64*16 and 128?
3072
Let t(c) be the first derivative of c**3/3 + 5*c**2/2 + 4*c - 1. Calculate the lowest common multiple of 12*(30/(-12) + 4) and t(-7).
18
Let b be 2/12 + ((-2361146)/770976 - 0). Let x = -1/24093 - b. What is the common denominator of -31/30 and x?
240
Let f = -2/9603 - 73603/96030. Calculate the common denominator of (-190)/15*((-7)/(-36))/(-1) and f.
270
What is the common denominator of (-460)/(-10005)*255/7*(-7)/(-8) and -3/116?
116
Let m = 10525 - 2147099/204. What is the common denominator of m and 59/60?
1020
Find the common denominator of (-12)/(-3792)*4*18/66 and -9/316.
3476
Let o = 189 + -186. Suppose 57 = o*z + p, -26 = -2*z - p + 11. Calculate the least common multiple of z and 45.
180
Let n = 1373/8 - 4507/24. Let g = -10 + 16. What is the common denominator of g/45*(-830)/(-24) and n?
18
Let o = -1502459/30 + 50076. What is the common denominator of o and -179/2550?
2550
Let k = -4529 + 2640434/583. Calculate the common denominator of k and 43/396.
20988
Suppose 44*m - 4400 = 220. Calculate the lowest common multiple of m and 231.
1155
Let v be 128293/(-66) - 1/6. Let l be 18033/v + 3/(-3). Let d = 8/81 - l. Find the common denominator of -65/32 and d.
32
Suppose -4*o = 4*g - 756, -g - 3*g - 164 = -o. Calculate the common denominator of o/10*(-65)/(-182) and 27/56.
56
Let w be -3 + (5 - (3 + 201)). Find the common denominator of (1 - w/(-60)) + 3 + -3 and 1 + 1 - 149/6.
30
What is the common denominator of -113/2400 and (-43)/(-6192)*(-1062)/(-300)?
2400
Let o = -189247/10591 - -1399/119. Let u = o - -62719/10858. Find the common denominator of u and 12/(