7)?
14674
Let h = 10848/329 + 196/47. Let o be (-2)/84*1133 - -1. Let f = o + h. Calculate the common denominator of f and 31/27.
54
Let u = -9 + 45. Suppose -2*q = 2*q - u. Let v = 224 + -212. What is the lowest common multiple of q and v?
36
Let z = -6/22643 - 1784669/15578384. What is the common denominator of z and 173/1806?
14448
Let t = -2121/59860 - 16/365. Let g be (3 - (-2488)/(-832))*1923. Let p = g + 1/104. What is the common denominator of p and t?
164
Suppose 59 = 4*p + 5*x, -121 = -3*p + 5*x - 68. What is the lowest common multiple of p and 8192?
8192
Let a(h) = -h**2 + 11*h + 4. Suppose -2*n + 44 = 3*s, -5*s - 6*n + 56 = -7*n. Let t be a(s). What is the lowest common multiple of 7 and 48/(-14)*(-5 + 100/t)?
420
Suppose -3*w + 5*c - 4 = 10, 3*w + 5*c - 26 = 0. Let z be -13 + (-39)/((-468)/120). What is the lowest common multiple of (z/w)/(2/(-8)) and 26?
78
Let a = 2/141 + -5549/3525. Let p = -105539 + 316621/3. Find the common denominator of p and a.
75
Suppose 21 = -3*y + 9, -2*v + 3*y + 11486 = 0. Let w be (v/34)/((-27)/(-18)). Let l = w + -338/3. Find the common denominator of -23/2 and l.
34
Let i = 4 + 6. Let r(a) = a**3 + 30*a**2 - 31*a + 5. Let g be r(-31). Find the common denominator of (-73)/(-8) + g + -3 and i.
8
Let r = -132 - 8. Let s = r + 145. Calculate the least common multiple of 10 and s.
10
Suppose 6*h - 308 = -278. What is the common denominator of 95/6 and h/(-12)*(7 - (-3399)/(-55))?
6
Let d = -317/1806 + 232/301. What is the common denominator of -9/3374 and d?
10122
Let p = -101 - -99. Let g = 719/2 - 367. What is the common denominator of g and (-124)/(-6) + p/4?
6
Let d = -3604324637/1548 + 2328375. What is the common denominator of -119/774 and d?
1548
Let h = 2619/1001 - -14/143. Let j = 97237 - 11084881/114. Calculate the common denominator of j and h.
798
Let h(q) = -3*q**3 - 24*q**2 + 5*q + 54. Calculate the smallest common multiple of h(-8) and 4.
28
Let h be (2 - -64) + 45/(-15) + -1. Find the common denominator of (-92)/(-276) + h/(-8)*1 and -87/28.
84
Calculate the common denominator of 154/(-22) + 11978/1704 and -19/4.
852
Suppose 4*v = -2*m + 150, -5*v + 17*m = 12*m - 165. Suppose -4*h + 3*h = -v. What is the smallest common multiple of 8 and h?
72
Suppose 7*l - 3*l - 16 = 0. Suppose -6*k - 1710 = -l*k. Calculate the common denominator of (-3)/((-36)/10)*k/(-100) and 58/3.
24
Suppose 3*i = -0*i - 2*s - 6, 35 = -5*i + 5*s. Calculate the common denominator of i/10 - ((-888)/195 - -6) and 192/(-10)*1/(-2).
65
Let w = -11 + 5. Let f be (4/w)/(8/(-36)). Find the common denominator of 396/32 + (-6)/f and -25/7.
56
Calculate the common denominator of 48/965 and (1647/(-180) - -9)*1/3.
3860
Let g be -3 - 1/(4/(-116)*-1). Let m(q) = -q**2 - 29*q + 107. Suppose 4*s - 15 = -s. Calculate the smallest common multiple of m(g) and s.
33
Suppose 0 = -10*c - 23 + 123. Suppose 4*m = -7 - 189. Let i = -45 - m. Calculate the least common multiple of i and c.
20
Suppose 36 - 27 = 3*p. Suppose 4*l + p*z - 116 = 0, -10*l - z + 156 = -5*l. What is the least common multiple of 48 and l?
96
Calculate the least common multiple of 147 and (2131 - (-66)/6)/1.
14994
Let u = -434795 + 198266629/456. Find the common denominator of 61/456 and u.
456
Let n(g) = g - 22. Let y be (-3939)/(-156) - 6/(-8). What is the lowest common multiple of n(y) and 24?
24
Suppose 224*b - 285*b + 1609 = -6199. Calculate the least common multiple of b and 336.
2688
Let x = 639141 + -379649635/594. Calculate the common denominator of x and -149/462.
4158
What is the smallest common multiple of 7 and -6*4/3 + 1 + 1043?
1036
Let f be (44/190)/((-32)/1154). Let y be 3/(570/(-52)) + (363 - 362). Let s = f + y. Calculate the common denominator of -56/9 and s.
72
What is the common denominator of 43/1300 and 0 + (-8877)/(-14430) - 4/(-74)?
1300
Let l be 0 - 5 - (-1570)/(-10). Find the common denominator of 69/2 and 2*l/(-40) - (-3)/6.
10
Let m be (-402)/7 - (-7 + 7). Let x = -58 - m. Let i = 37/7 + x. What is the common denominator of 23/6 and i?
42
Suppose 4*x + 192 + 208 = 0. Let d = x + 73. Find the common denominator of -51/82 and ((-4)/(-10))/(-3 + (-78)/d).
410
Let x = -2257363681/15860 + 711653/5. Find the common denominator of 59/8 and x.
6344
Suppose 6*r - 18 = -0. Let d(h) = 7*h**2 - r*h**2 + 34 - 46 - 2*h**2 - h. What is the smallest common multiple of 12 and d(-3)?
36
Suppose k - 320 = -4*t, -k + 5*k = 2*t - 142. Suppose -227 = -3*d - 5*y, 11*d - y + t = 12*d. Calculate the smallest common multiple of d and 70.
420
Calculate the smallest common multiple of (864/(-2))/(1221/(-814)) and 720.
1440
Let g be (-2)/1056*(225716/(-20) + -1). Let r = 329/15 - g. What is the common denominator of 13/8 and r?
88
Let o = -19122 - -516232/27. Find the common denominator of ((-10)/(-1755))/((-3)/315) and o.
351
Suppose 0 = 5*q - 126 + 21. Calculate the common denominator of 56/45 and (-152)/6 - q/(-42).
90
Let p = -656096/5 - -130720. Let t = 2557/5 + p. What is the common denominator of t and -74/69?
345
Suppose 93 = 7*i + 9. Let v(l) = 3*l**2 - 33*l + 24. Calculate the least common multiple of 18 and v(i).
180
Suppose 5*j - 4 = 2*i + 4, -3*j = 0. Let n = 32 + i. Calculate the least common multiple of 2 and ((-28)/5)/(n/(-70)).
14
Find the common denominator of (-3)/2 - (-28880)/26448 and 125/174.
174
Let g = 414840 + -161787427/390. Find the common denominator of g and 71/273.
2730
Calculate the common denominator of 5858/(-638)*4/88 and -75/44.
484
Let k(n) = -21*n + 161. Let j(x) = x + 2. Let q(s) = -5*j(s) - k(s). Calculate the lowest common multiple of 56 and q(19).
1064
Suppose -8*g + 1067040 = 118*g + 225*g. What is the least common multiple of 160 and g?
3040
Let g = 2864017/2620 + -58398/131. Let b = 649 - g. Find the common denominator of b and -39/4.
20
Let i = 8779/5 + -588166/335. Calculate the common denominator of i and 38/469.
2345
Suppose 0 = 18*f - 15*f. Suppose f = 5*c - 8*t + 7*t + 544, -5*c - 560 = -5*t. Find the common denominator of -13/3 and (9/c)/((-2)/9).
24
Suppose -5*c + 70 = 5*p - 45, -17 = -p + c. What is the lowest common multiple of p and 88?
440
Let j(h) = 1 - h**3 - 4*h**2 - 3 - 4 + h**2 + 2*h. Suppose -5*x + 12 = -x, -10 = 4*d + 2*x. What is the lowest common multiple of j(d) and 4?
4
Let d(f) = f**3 - 12*f**2 + 60*f - 985. What is the least common multiple of 45 and d(16)?
4995
Suppose 3*q + 4*o - 148 = -q, 4*q = -5*o + 153. Suppose 0*x + 32 = -4*w + x, -q = 4*w + x. Calculate the common denominator of 1/6 and (-2)/w - (-8)/12*-24.
12
Suppose -572529 = -97*c - 32530. Calculate the least common multiple of 2051 and c.
38969
Let u(y) = -16*y**2 + 6*y - 8. Let j(z) = 7*z**2 - 3*z + 4. Let a(p) = -13*j(p) - 6*u(p). What is the least common multiple of a(-2) and 5?
10
Calculate the least common multiple of (-10)/(-4) - (-30288)/96 and 18.
954
Let u be (14 + -14)/(-1*1). Let j be 8/2 - u*5/(-15). Suppose 0*f + 39 = 5*f - j*m, 5*f = -2*m + 63. What is the lowest common multiple of f and 11?
11
Let c = 73613/2916 - -4/729. Let t = -89909/6 - -15010. Calculate the common denominator of t and c.
12
Let x be 440/66*198/5. Calculate the common denominator of 334/40 - -6*11/x and 44/103.
515
Let b = -375 + 393. Calculate the lowest common multiple of b and 324.
324
What is the common denominator of -101/40 and (1 - (-1463)/(-1425))*159/8?
200
Let x = 243444938725 - 62794187494988009/257940. Let s = -3/57320 + x. Calculate the common denominator of s and 145/6.
72
Let k = 2/1573 + 251/242. Suppose 18 + 10 = h. Find the common denominator of -1 - h/(-18)*-6 and k.
78
Suppose -24 = 3*h - 96. Let o be 0 - 0 - 12174/h. Let l = 512 + o. Find the common denominator of -31/8 and l.
8
Find the common denominator of -51/32 and 616092/(-71552) - -9 - (-30)/(-65).
1376
Let s be ((-8)/(-24))/((-3 + 1)/(-18)). Suppose -3*h - 27 = -2*f, -4*f + s = -h - 6. What is the lowest common multiple of 16 and (4 + h/3)*10?
80
Calculate the lowest common multiple of 122 and ((-37)/74)/(1/(-18)).
1098
What is the common denominator of (-308)/440*(4 - 558/(-42)) and 18/19?
190
Find the common denominator of 2494/47502*(-3)/(-2) and -59/140.
5460
Let l = -37487/171071 - -69/347. Let a = -37738/13311 - l. Let u = -913073/151128 + 1/18891. Find the common 