 -875. Let j = -29 + 41. Calculate the lowest common multiple of d and j.
12
Let i = 13897/2373 - -2/2373. Let x = 7079/4 - 1782. What is the common denominator of i and x?
28
Let g = 11 + -9. Let d = 17627/3745 - -4/535. Find the common denominator of d and 1191/(-462) - g/7.
154
Suppose -t = -4 - 3. Suppose -6*i = -t*i + 3. Calculate the smallest common multiple of i/(-5) + 144/15 and 8.
72
Let o(t) = -3*t - 13. Let v be o(-5). Suppose -2 + 0 = -v*q. Calculate the lowest common multiple of 7 and q.
7
Let y(f) = -f**2 + 8*f + 23. Let n be y(10). Find the common denominator of (-1)/n*(-129)/10 and -37/8.
40
Suppose u = -846 - 2213. Let w = -36779/12 - u. What is the common denominator of 9/14 and w?
84
Find the common denominator of 131/12 and 30/(-38) - 15/90.
228
Let f = 8304 - 132905/16. What is the common denominator of 499/(-72) - (-1 + (-18)/(-16)) and f?
144
Suppose -5*k + 76 = 2*g - k, 155 = 5*g + 3*k. Let x = g - 8. Calculate the lowest common multiple of 4 and x.
20
Let q = 359/6 - 176/3. Let i = 50033/12 - 4167. What is the common denominator of i and q?
12
Suppose -5*d - 51 = 2*s, 3*s - 63 = 5*d - s. Let b = d - -18. Calculate the least common multiple of 6 and 1 + (b - 0/(-2)).
24
Let r = -16739/10824 - -1/984. Find the common denominator of ((-1)/5)/((-45)/(-5025)) and r.
33
Let x = -126856947341/144741744 - 21/2297488. Let h = x - -6158/7. What is the common denominator of 2/(-7) + 611/(-42) and h?
18
Let g(u) = 3*u**2 + 3*u - 11. Let r be g(5). What is the common denominator of -81/2 and (r/40)/(8/32)?
10
Suppose -15*a - 838 = -5098. Calculate the smallest common multiple of a and 22.
3124
Let c(p) be the third derivative of p**5/30 - 11*p**3/3 + 17*p**2. Calculate the lowest common multiple of 4 and c(5).
28
Let g(k) = -2*k + 8. Calculate the least common multiple of g(-1) and 64.
320
Suppose 0 = -6*t + 10*t - 20. Let m = 0 + t. What is the smallest common multiple of 2 and m?
10
Let p = 12364 + -30658. Let f = p + 402555/22. Find the common denominator of f and (-25)/(-4) + (1 - 0).
44
Let z = -22 + 28. What is the common denominator of (10/(-8))/(z/(-9)) and 2 + 423/(-24) + 3?
8
Let x = -46 - -10. Suppose 4*a + 87 = 2*a - z, 99 = -2*a + 3*z. Find the common denominator of ((-15)/x)/(6/a) and 51/16.
16
Let s = 6425/3144 - 1/524. Find the common denominator of s and 89/48.
48
Let q = 41/353 - 21499/8825. Calculate the common denominator of q and -75/4.
100
Let l be (-24)/(-60) - 14/10. What is the least common multiple of 307/7 - 2/(l + -13) and 18?
396
Suppose -8*p + 42 = -14*p. Calculate the common denominator of 2/p - (-690)/504 and -57/14.
84
Let b = 189 + -175. What is the least common multiple of b and 1380?
9660
Let m(a) = 2*a - 1119. Let x be m(0). What is the common denominator of (2 - x/(-24))/(9/(-4)) and -21/2?
6
Let n be (-1 + 2)/(4/1604). Let b = -240 + n. What is the common denominator of b/(-12) - (-6)/9 and 63/8?
8
Let t(a) = a**3 - 9*a**2 - 3*a + 33. Calculate the lowest common multiple of t(9) and 34.
102
Suppose -17*c - 64 = 89. Let d be -15 - (2 - (-2 - -4)). Let v = c - d. Calculate the smallest common multiple of v and 7.
42
Find the common denominator of -50/3 and ((-4)/(-160)*4)/((-13)/(-1339)).
30
Let f be (-60702)/(-42)*(-7 + 5 - -1). Let i = -785 - 664. Let j = i - f. Calculate the common denominator of j and 31/8.
56
Let z(f) = f**3 + 4*f**2 - 8*f - 12. Let m be z(-5). Calculate the common denominator of 7/9 and 206/20*m*3/(-9).
90
Find the common denominator of 11*(-21)/(-18) - (-4 + 5) and (3/8)/(64/(-58) - -1).
24
Let z be (-4)/(-26) - (-756)/(-182). Find the common denominator of ((-2)/30)/((-4)/(-302)) and (4/8)/(z/19) + -4.
120
Let v(k) = 56*k**3 - k**2 - 2*k + 1. Let a be v(-2). Let l = a + 4507/10. Find the common denominator of (-1508)/364*(-1 + 0 + 0) and l.
70
Let q be (-52)/(-20) - 4/(-10). Suppose 0 = -2*x - x - q. What is the least common multiple of (x - 1)/((-3)/9) and 16?
48
Let l = -16 - -30. Suppose -4 + 13 = v - 2*u, 4*v - u = 36. Let a(r) = -r**2 + 7*r + 32. What is the least common multiple of l and a(v)?
14
Let u be 3/162*(-60)/(-8). Let r = 10/9 + u. Find the common denominator of r and 7/20.
20
Let q(o) = o**3 - 9*o**2 - 27*o + 39. Find the common denominator of q(11) and -17/23.
23
Let k be (-1 + 1/2)/((-4)/24). Suppose -k*w + 0*w + 6 = 0. What is the smallest common multiple of 94 and w?
94
Calculate the lowest common multiple of 494 and 18*(-1)/(-2) - (-3 - -8).
988
Find the common denominator of ((-330)/15246)/(2/(-7)) and 79/66.
66
Let l(q) = q + 13. Let h be l(-8). Suppose -13 = -4*p - 4*z + 15, -4*p - h*z + 29 = 0. Calculate the smallest common multiple of p and 1.
6
Let t(l) = -l**3 - 7*l**2 - 13*l - 11. Let c be t(-5). Calculate the lowest common multiple of (-30)/(-40) - (-29)/c and 19.
152
Let l = -1 - -2. Let s be (18 + 1)*(5 + -6 - -2). Suppose -4*v + 5 = -s. Calculate the smallest common multiple of l and v.
6
Let r = 5 - 5. Let f be -3*1/(-1) + r. What is the common denominator of -83/4 and 37/(-7 - (f + -3))?
28
Let f = 20 + -6. Let i be 4/14 - (-38)/f. Suppose -i*y = -2*y - 18. Calculate the smallest common multiple of y and 18.
18
Let r be (-401)/(-1545) + (7 - (-110)/(-15)). Let j = 41939/16995 + r. Calculate the common denominator of -55/18 and j.
198
Let v = 12925 + -91286/7. Let p = -12297/112 - v. Calculate the common denominator of p and 77/30.
240
Suppose -60 = -5*c - 4*k, -3*k = 3*c + k - 44. Suppose 0 = -3*l - y - 2*y + 276, y - 186 = -2*l. What is the least common multiple of c and l?
376
Let a be (-6)/(-15) + (-672)/(-20). Suppose -m = 5*n - 11 + a, 3*n + 5 = -5*m. Suppose -c + 8 = m*w + 2, -2*c = 4. What is the least common multiple of w and 8?
8
Let d = -12/1955 - -178001/15640. What is the common denominator of -3 + (1/8 - 6171/(-616)) and d?
56
Let d = 2549/10 - 1527/5. What is the common denominator of d and -7/61?
122
Let t be 1 + 1 + 7*-1. Let g(l) = -l**2 - 6*l + 2. What is the lowest common multiple of g(t) and 6/(-18) - (-10)/3?
21
Let n(f) = f**2 + f - 4. Let c be n(-3). Suppose 5*b + c = 7, 2*b + 4 = 2*u. Let t = u - -6. What is the lowest common multiple of 11 and t?
99
Let y be 149 - (-3 + 0/3). Calculate the smallest common multiple of 6 and 16/y + 566/38.
30
Let u = -272 - -12248/45. Calculate the common denominator of u and -103/108.
540
Let x = -1 + -2. Calculate the common denominator of 69/26 and x + (-134)/(-16) - -1.
104
Suppose -2*c + y = 46, -58 = -c + 2*y - 84. Calculate the common denominator of 25/8 and c.
8
Let v(u) = -4*u + 82. What is the lowest common multiple of 100 and v(20)?
100
Calculate the common denominator of 6/72 + (0 + 0 - -4) and 125/18.
36
Suppose 5*l + 1288 + 3232 = 0. Let k be l/18 - (-6)/27. Calculate the least common multiple of (340/k)/(2/(-10)) and 4.
68
Calculate the common denominator of (48 - 59)*(-14)/(-200) and -119/10.
100
What is the common denominator of -24/7 and (-7 + 5)/6 + 176/6?
7
Let s(m) = m**3 - 7*m**2 + 8*m - 11. Let a be s(6). Calculate the lowest common multiple of (-6)/(a/((-15)/(-3))*-3) and 4.
20
Find the common denominator of (-798)/(-1520)*28/6 and -41/712.
3560
Find the common denominator of -89/40 and ((-646)/(-160) + -4)/((-27)/534).
120
Let m = -999 + 3999/4. What is the common denominator of m and -107/40?
40
Suppose -3*r = 3*n + 21, -5*n - 44 + 4 = 4*r. What is the common denominator of 3/(-10)*(-124)/n and (103/3)/((-30)/9)?
10
Let d = -249 - -267. What is the lowest common multiple of d and 44/10*(-105)/(-14)?
198
Let b be 10/(-15) - (-28)/6. Suppose 0 = -5*z + g + 16 + 30, 0 = 3*z - 2*g - 29. Calculate the smallest common multiple of b/(-6)*(-270)/z and 4.
20
Suppose -4*z - z = -30. Suppose -5*j + 110 = -5*k, -j = -4*k - 14 - 14. What is the smallest common multiple of z and j?
60
Calculate the common denominator of 139/30 and 4/(-999)*((-245)/(-28))/5.
9990
Let j = -35371/8 - -4413. What is the common denominator of j and 27/88?
88
Let f be 2/2 + (-4 - -5) + 5. Suppose 0 = -f*n + n + 48. Calculate the smallest common multiple of n and 7.
56
Let i = 2075/854 - -74/61. Find the common denominator of i and 93/70.
70
Suppose 0 = -2*g + u + 27, 70 = 5*g + 2*u - 5*u. Calculate the least common multiple of g and (5/(-4))/(2/(-8)).
55
Let x = 3 + -3. Suppose 2 = 2*m 