
6
Let y(l) = -3*l - 3. Let s be y(-1). Calculate the common denominator of 149/12 and (s - (-134)/4)/(-47 - -48).
12
Let g(w) = 2*w**3 - 22*w**2 + 5*w + 11. Let a be g(10). Let v = -2042/15 - a. Calculate the common denominator of -49/18 and v.
90
Let m = 7311 - 4291562/587. Let l = m - 49875/2348. Let w = 17142 - 274185/16. Find the common denominator of l and w.
16
Let l = -1769 - -175135/99. What is the common denominator of 107/315 and l?
3465
Let g = 271 - 57. Suppose 0 = -5*i + q + g, -5*q = 3*i - 93 - 13. Calculate the common denominator of 9 - (-3 + (-1529)/(-99)) and i.
9
Suppose 0 = -2*m + 2*o - 6002, 5*m - 3*o + 16269 = 1254. Let a = m + 192483/64. Find the common denominator of -49/6 and a.
192
Let g = -45 - -15. Find the common denominator of -97/12 and 84/g*((-122)/(-72) - 1).
36
Let v = -77/117 - -10/13. Find the common denominator of ((-17)/3)/((-442)/204) and v.
117
Let d(f) = -136*f + 6. Let o be d(4). Calculate the common denominator of 1/(-6) + o/(-60) and -39/4.
20
Suppose 53755 = -14*q - 54339. Let r = 92579/12 + q. Calculate the common denominator of 18/(-16)*(-62)/3 and r.
12
Let q be (-2)/((-55)/(-105) + 4/(-6)). Let s = q + 4. Suppose 4*x - 14 = 2. Calculate the least common multiple of s and x.
36
Let f be 50 + -1 - (3 - -2). Suppose 2*c - 5*u - 6 = 0, -5*c = 2*u - 0*u - f. What is the smallest common multiple of c and 1?
8
Let r be (-8)/12*3 - -2. Suppose r*i - 4*c + 196 = -i, 5*i - c = -980. Let d = i - -553/3. What is the common denominator of d and 33/8?
24
Suppose 2*q = 7*q - 135. Suppose -7 = d - q. Let f(n) = n**2 + 2*n + 1. Calculate the least common multiple of f(-5) and d.
80
Let d = -3691 - -40631/11. Calculate the common denominator of d and 3/8.
88
Suppose z - 7 = 2. Suppose 1 + 13 = c + 2*i, -5*c + 28 = -4*i. Suppose c*h - z*h = 0. What is the common denominator of -25/6 and h?
6
Calculate the lowest common multiple of 2 and (33/(-6) + 7)/((-3)/(-44)).
22
Let k = -220 - -474. Find the common denominator of 2/(-8) + k/120 + -2 and -16/9.
45
Calculate the lowest common multiple of -11 + 8/1 - -36 and 102.
1122
Let i = -2582/11 - -65199/275. Let h = i - 1138/175. Calculate the common denominator of 151/18 and h.
126
Suppose -4*f + 5*j + 33 + 2 = 0, -5*f - 5*j + 10 = 0. Let o be 50/4 - 3/6. Suppose 18 + o = f*k. Calculate the smallest common multiple of 16 and k.
48
Suppose 88 - 393 = 5*p. Let v = -90 - p. What is the common denominator of 20/10 - v/(-12) and -73/44?
132
Let r = -388 + 484. What is the lowest common multiple of 10 and r?
480
Let x = 509 - 504. Calculate the smallest common multiple of 229 and x.
1145
Let s = 11 + -13. Find the common denominator of 32/8 + (-134)/16 and s.
8
Let d = 1713803/164532 + 6/13711. Let u = 31 + -68. What is the common denominator of (u/(-3))/(14/9) and d?
84
Let s = 76871 + -14759179/192. Find the common denominator of s and 7/144.
576
Suppose 0 = 12*j - 39 - 9. Suppose -j*h - 22 = -5*h. What is the least common multiple of h and 22?
22
Let x = 1002063/4 - 252341. Let n = -1814 - x. Let d = 1221/28 - 258/7. What is the common denominator of d and n?
4
Let w = 38727/10 + -3861. Calculate the common denominator of w and 48/(-20) + 9/(-12).
20
Calculate the common denominator of -131/42 and (10/315)/(3 + (-65)/15).
42
Let w = 14 + -6. Suppose -5*s + 200 = -5*u, 3*s - 38 = 5*u + 84. Calculate the smallest common multiple of w and (-26)/s + (-5)/(-3).
8
Calculate the smallest common multiple of (-6)/(-16) + ((-495)/(-24) - -5) and 44.
572
Let c(w) = -155*w - 8. Let r be c(8). Let j = -3698/3 - r. Find the common denominator of -67/4 and j.
12
Let q = -8103 - -413318/51. Calculate the common denominator of q and -79/51.
51
Suppose 4*m + 4*v = 2*v - 190, -2*m - 115 = -3*v. Let g = 88 + m. Suppose o = -7 + 2, u - 2 = -2*o. What is the smallest common multiple of u and g?
228
Let u = -44971 - -5576345/124. Find the common denominator of -43/124 and u.
124
Suppose -22 = 4*o - 2*b, -5*o + 5*b = b + 32. Let a = 95861/18 - 5322. Calculate the common denominator of a and o/10 - 1317/(-180).
36
Calculate the common denominator of 95/224 and 6/9 + 6 + 46/36.
2016
Let r = -61147/9 + 6787. Let m = 9011/2002 - 1/1001. Find the common denominator of r and m.
18
Let g(y) be the first derivative of y**2 - 4*y - 27. Calculate the least common multiple of g(3) and 7.
14
Suppose -14*h = -19*h + 10. Suppose -h*u + 4*o = -6, -u + 5*o = -0*u + 9. What is the smallest common multiple of u and 23?
253
Let v = -1 - -3. Suppose 5*i - 15 = 0, l - 3*l - v*i + 24 = 0. Calculate the smallest common multiple of 12 and l.
36
What is the common denominator of -31/18 and 12392/880 + -11 - (3 - 0)?
990
Let h(u) = -3*u**2 + 25*u - 23. Suppose 3*w - 2*w = 0. Suppose 0 = -3*t + 4*f - 3*f + 30, -t + 4*f + 21 = w. Calculate the lowest common multiple of t and h(7).
45
Let j be (-448)/(-24)*(-588)/(-104). Let v = j - 17973/182. Calculate the common denominator of v and -25/124.
868
Let r be (18/24)/((-2)/(-8)). Suppose 0 = -r*a + 2*a + 4. Calculate the lowest common multiple of 16 and a.
16
Let d be 0 - (-53 - (-2 + -2)). Let q = -27 + d. What is the common denominator of 11/q*(-10)/(-22) and 49/12?
132
Let n = -50051/34941 - -50/613. What is the common denominator of 101/105 and n?
1995
Let f = -7 - -13. Suppose 4*q = 120 - 28. Suppose -q + 7 = -4*l. What is the least common multiple of f and l?
12
Let f be 4/8*6 + (-253)/6. Let k = 135/8 + -387/8. Let c = f - k. Find the common denominator of c and -27/10.
30
Let w(l) = 3*l + 21. Let o be w(-5). Suppose -o*f - 124 + 430 = 0. What is the smallest common multiple of 7 and f?
357
Suppose -5*w = z - 51, -2*w - z - 2 = -20. Let t(s) = s**3 + 4*s**2 - 2*s - 3. Calculate the smallest common multiple of w and t(-4).
55
Let g = -5497/6 + 914. Let b = -2115 + 8557/4. Find the common denominator of b and g.
12
Suppose 0 = -0*x + x - 1. Calculate the lowest common multiple of ((-26)/(-3))/((-10)/(-45)) and x.
39
Let f = 4 + -2. Suppose 0 = -4*a - 0*a - 4*h - 88, 5*h = a + 16. What is the lowest common multiple of 6 and a/(-28)*2*f?
6
Let h = -9/2231 + 96401/116012. Find the common denominator of 29/23 and h.
1196
Let k = -4111346/7 - -33298889/56. Let h be 2/9 - (-130990)/(-18). Let w = h + k. Find the common denominator of 71/10 and w.
40
Let g = -1/4884 + 41521/34188. Calculate the common denominator of g and 27/112.
112
Let s = 6/77795 + -1976101/1400310. What is the common denominator of s and -27/40?
360
Let g = -11829074567/2201748 + -7/366958. Let k = 5369 + g. Calculate the common denominator of k and 159/(-12)*(2 - 13/6).
24
Let a(o) = -2*o**2 - 2*o - 20. Let z be a(0). Calculate the common denominator of 13/78*51/z and 87/40.
40
Let c = -9 - -11. Let u be c/(((-2)/(-3))/1). What is the smallest common multiple of 26/6 - 1/u and 1?
4
Suppose 8*z = z + 21. What is the least common multiple of 99 and z?
99
Let b(i) = -29*i - 102. What is the lowest common multiple of 24 and b(-6)?
72
Let p(q) = -3*q**2 + 72*q - 43. Calculate the least common multiple of p(23) and (-51)/(-6) - 9/(-6).
130
What is the common denominator of -53/108 and (217/(-385))/((576/(-100))/8)?
1188
Let r be (10954/3)/((-400)/(-90)). Let m = r + -824. Let b = 178/13 - 2191/104. Calculate the common denominator of b and m.
40
Suppose -21*u - 14 = -7*u. Calculate the least common multiple of (-3 - (-1)/1)*-9 and (10 - (-2)/(-2)) + u.
72
Suppose -18*t = -23*t + 80. Calculate the least common multiple of 7 and 2*(-1)/t + (-147)/(-24).
42
Suppose 4*i = 7*i - 18. Suppose 4*y = 5*y + 3, 2*y = -3*d - i. Suppose -7*q + 70 = -d*q. What is the smallest common multiple of 9 and q?
90
Let n = -4823/36 - -561/4. Let g be (-1)/72*(-617964)/824. Let z = g - -1/1648. Find the common denominator of n and z.
36
Let d(o) = -o**2 + 15*o - 19. Let r be d(16). Calculate the least common multiple of 2 - (-44)/(-24) - r/6 and 30.
30
Let t be (21/12)/7 + (-243)/(-4). Suppose -3*x - 3*k + 18 - 120 = 0, 4*k = 4. Let b = t + x. Calculate the smallest common multiple of 8 and b.
104
Let p = -188160 + 42336344/225. Let m = p - -9/25. What is the common denominator of -48/7 and m?
63
Let n be 2/(-10) - ((-393)/15 - 2). Let t be 3*(1/(-3) - 1). What is the common denominator of (846/n)/(-9) - t and -97/8?
56
Let t = 19035