-38. Let x = -145 - y. Calculate the smallest common multiple of x and 11.
33
Let m = 27646103/18 - 1541345. Let f = m - -5458. What is the common denominator of f and 25/9?
18
Suppose -4*w + 17 = -5*i - 35, i = 2*w - 32. Suppose 4*k = c - w, -5*c - k + 15 = -2*c. Calculate the lowest common multiple of 30 and c.
30
Suppose -4*v - 8 = 4*f, f + 6*v - v = -22. Let y(c) = -2*c + 7. Let x be y(0). Suppose -2*h + 15 = -x. Calculate the least common multiple of h and f.
33
Let x(p) = -6129*p**2 + p. Let s be x(1). Let w = s + 618935/101. Let c = w - -5318/505. Calculate the common denominator of -27/10 and c.
10
Let c = 1/3816 - -4169/1272. Suppose 3*z - z + 69 = 3*h, 4*z = -3*h - 111. Calculate the common denominator of c and ((-12)/z)/(16/46).
180
Suppose -u + 5*o = -30, 2*u + 36 = 4*u - 4*o. Find the common denominator of (0 + (-98)/44)/(10/u) and -51/22.
22
Suppose 0 = -5*g + g - t + 89, -1 = -t. Calculate the least common multiple of g and 8.
88
Suppose 0 = 4*c + 9364 + 7756. Let o = c + 25541/6. What is the common denominator of o and -19/4?
12
Let j be (5932/168*-2)/2. Let i = -187/6 - j. Find the common denominator of 4/9 and i.
63
Let l = 165/14 + -1333/84. Find the common denominator of l and -91/2.
12
Suppose 86 = -5*h + l, 5 = 3*h + l + 63. Let t = h - -28. What is the smallest common multiple of t and 11?
110
Suppose -3*q + 370 = n, -q = 4*n - 1008 - 450. Calculate the lowest common multiple of 312 and n.
2184
Let r = 70/617 - 39877/19744. Calculate the common denominator of (-66)/42*21/(-36) and r.
96
Suppose 4*q - 3*q - 74 = -4*n, 0 = 4*n. What is the least common multiple of q and 2?
74
Let k = -27703/1194 - -7/199. Calculate the common denominator of k and -25/18.
18
Find the common denominator of -81/26 and 6/(-14) - (-17603)/(-2030).
130
Suppose 2*c = -2*y + 7*c - 4881, 5*y + 3*c + 12218 = 0. Let k = y - -9721/4. What is the common denominator of -55/24 and k?
24
Let i = 41 - 20. Calculate the smallest common multiple of 21/(-9) + (-50)/(-6) and i.
42
Let a = 6428/7359 + 62/223. Find the common denominator of (4550/(-126) + 7)*(-9)/(-60) and a.
330
Suppose 0 = -3*c + 6 + 15. Let k(i) = i**3 - 5*i - 7*i**2 - 7 - i - 1 + 1. Calculate the least common multiple of k(8) and c.
63
Let f = -5 + 8. Find the common denominator of 47/12 and (190/24 - f) + (-4)/6.
12
What is the common denominator of (-3 - (-29)/10)/((-3)/147) and 47/68?
340
Let c(d) be the second derivative of -d**5/10 + d**4/6 + d**3/6 - d. Suppose 82*r + 5 = 87*r. What is the lowest common multiple of c(-1) and r?
3
Let h be (15/10)/((-1)/2). Let u be (h/556)/(105/(-56)). Let v = -2643/695 + u. What is the common denominator of 34/11 and v?
55
Let l = -109437/248 + 131/248. Let p = 445 + l. Calculate the common denominator of p and (279/(-8))/(-6 + 9).
8
Let d(v) = v**2 - 33. Let s be d(6). What is the common denominator of -2*s/18 - 358/60 and -121/12?
60
Let k be (-2*147/10908)/((-56)/7014). Let t be 2423/1212 - 4/2. Let r = k + t. Find the common denominator of 65/42 and r.
168
Let p = -43 - -93. Find the common denominator of (-7)/(-4)*8/(-6) and ((-78)/(-4))/((-120)/p).
24
Let k = -172 - 92. Calculate the least common multiple of 12 and k/(-26) + (-4)/26.
60
Suppose -3*f = 4 - 19. Let m be 1 + 19 + 6/3. Let k = 33 - m. Calculate the lowest common multiple of k and f.
55
Let k(l) = 23 + 0*l**2 + l**2 - 2*l**2 - 24 + 8*l. Calculate the least common multiple of k(7) and 10.
30
Let f(o) = 7*o - 7. Suppose -4*w - 3*m - m = -44, 2*w - 4*m = -8. What is the least common multiple of w and f(3)?
42
Suppose f = -2*q - 27 - 13, -f - 48 = -2*q. Let k = 66 + f. What is the lowest common multiple of k and 2/15 + 4556/255?
198
Suppose 2*g = -h + 9, -g - h = -3*h - 12. Suppose -75 = -g*w + w. Suppose 0 = 3*p - w, -26 = -t - p - 4*p. Calculate the least common multiple of t and 2.
2
Suppose 0 = -7*w - 2192 - 790. What is the common denominator of 57/28 and w/360 - (-2)/4?
420
Let c be 0 + -1728 - (4 + -6 + 3). Find the common denominator of -43/2 and 1 + ((-1)/3 - c/228).
4
Let c = 14786 + -1330753/90. Find the common denominator of -43/70 and c.
630
What is the common denominator of (((-28)/6)/7)/((-8)/(-303)) and 41/249?
996
Suppose z + 24 = 1151. Let j = z + -10082/9. Calculate the common denominator of (4/(-5))/((-2)/28) and j.
45
Let x(m) = 3*m**2 + 3*m + 4. Suppose v - 17 + 4 = -3*n, v + 12 = 2*n. Calculate the lowest common multiple of 6 and x(v).
30
Let r be (-20)/(-6) - 3/9. Suppose -5 = j, z - r*j = 6*z + 70. Let m(f) = -f**3 - 11*f**2 - f - 1. Calculate the smallest common multiple of m(z) and 16.
80
Let p be (12/70)/((-1304)/14). Let j = p + -26456/17115. What is the common denominator of 145/18 and j?
126
Let b = -221 + 249. Calculate the smallest common multiple of b and 2.
28
Let h = -11/61 + -1377/1159. Calculate the common denominator of h and 25/3.
57
What is the common denominator of -85/48 and -72 + 70 + 89/48?
48
Calculate the common denominator of (-16)/28 - (-64505)/98735 and 57/5.
2015
Calculate the common denominator of -10 - (-8517)/486 - 7 and -79/12.
324
Suppose -27 = -5*c + 23. Suppose -11 = 3*r - 5*t + c, 4 = -5*r - 2*t. Find the common denominator of 127/6 and (-575)/(-198) - r/(-11).
18
Let s = 27397507/26151 + 8/8717. Let k = s + -1065. What is the common denominator of -59/9 and k?
9
Suppose -40 = -a - 3*a. Suppose 0 = 2*x - b + 4*b - 8, -4*x - 5*b + 16 = 0. What is the lowest common multiple of x and a?
20
Suppose -7*u = -35*u + 2688. What is the smallest common multiple of 216 and u?
864
Let y be (-4)/(-14) + 702/91. Let n be -6*(y/(-3) - -1). Suppose -15 = -m + 2*j, m - 3*j - 9 - n = 0. Calculate the lowest common multiple of m and 1.
7
Let b = -139591/107052 - -3/3244. Find the common denominator of 2/27 and b.
297
Let i(t) = 4*t**2 - 1. What is the smallest common multiple of i(-3) and 7?
35
Let h = -73943/4 - -19185. Let d = h - 26549/38. Calculate the common denominator of d and -3/16.
304
Let b = -41 - -2. Calculate the common denominator of (-6)/b + (-172)/(-52) and 79/6.
78
Let z(f) = -15*f + 3. Let x be z(2). Let v = 48 + x. Calculate the common denominator of ((-8)/(-12))/(v/(-87)) and 2/9.
63
Suppose 5*z = -4*v - 7, 5*v - 4*z - 5 = 17. Suppose 0 = v*i - 3*g - 16, -g + 28 = 4*i - 6*g. Calculate the smallest common multiple of i and 0 + -3 + 5 + 7.
18
Find the common denominator of -143/36 and 4/(-3)*3 + 213/(-30).
180
Find the common denominator of 6/(216/(-83))*(0 - 3) and -75/404.
1212
Find the common denominator of (-120)/16*(-4)/(-558) and -29/33.
1023
Suppose 0 = -3*v + 5 + 7. Suppose -v*s - 1 = -33. Let i = 22 + -20. Calculate the lowest common multiple of s and i.
8
Let t = 83591/5 - 16631. Let z = t + -7487/85. Find the common denominator of 44/9 and z.
153
Let q be (-1)/4 + 238632/80. Let l be 2/8 + (-1)/((-12)/(-35727)). Let n = l + q. Find the common denominator of 25/4 and n.
20
Let y(p) be the third derivative of p**5/60 - p**4/24 + 8*p**2. Let v be y(4). Find the common denominator of 2864/120 + v/15 and -18/11.
33
Let i be (-2*4/424)/236. Let t = 281441/137588 + i. Find the common denominator of -121/24 and t.
264
Suppose -5*v - 3*g = -4*g, -27 = -2*v - 5*g. What is the common denominator of (-62)/9 - v/2 and -29/30?
90
What is the least common multiple of (-712)/(-36) + (-4)/(-18) and 24/((2/12)/((-2)/(-18)))?
80
Let f = 65197/96 + -2038/3. Find the common denominator of 179/30 and f.
480
Suppose -f + 2*k = 9, 0 = -f + 3*k - 4*k + 3. Let u be (f - -10)/(6 - 7). What is the smallest common multiple of 14 and (-6)/u + 138/9?
112
Find the common denominator of 102/658 + (-9)/(-63) and ((-4)/72 - 1)*(-9 + 6).
282
Let t = -3 + 6. Suppose -4*p = -p - t. Suppose -h + y + 4 = 4*y, -2*h + 3*y - p = 0. What is the least common multiple of 3 and h?
3
Suppose -3*h - n - 1271 = -326, 0 = -n. Let b = -611/2 - h. Calculate the common denominator of ((-30)/48 + -2)*(-44)/(-297) and b.
18
Calculate the common denominator of (-112)/504 - 578/1368 and 15/8.
152
Let l = 1390 - 399. Let g = 7947/8 - l. Calculate the common denominator of 63/62 and g.
248
Let t = 6259 + -413137/66. Find the common denominator of t and 41/132.
132
Let k(p) = 8 + 5*p - 5*p + p. Let s = -400 - -404. Calculate the lowest common multiple of k(0) and s.
8
Let b 