ple of 8 and h.
40
Let t = -30839/2 - -15385. Find the common denominator of (-195)/28 - (-2)/(-7) and t.
4
Let d be (4/(-6))/(8/(-204)). Suppose 0 = -q + 4*x + 8, 5*q + x - d = -2*x. What is the least common multiple of 10 and q?
20
Let g = 1572/7 + -227. Let j = -169 - -35. Let m = 1211/9 + j. Calculate the common denominator of m and g.
63
Suppose w - 3*a - a = 0, 4*w + 4*a = 0. Suppose 4*r = 3*c - 1, -c + w*r = 5*r - 32. Let o(z) = z**2 + 2*z + 2. What is the least common multiple of c and o(-3)?
35
Suppose -107 = -m + 3*t - t, -3*t = m - 117. Calculate the common denominator of 0 + m/(-60) - -1 and (14/(-6))/((-10)/33).
20
Suppose 0 = x - 3*g - 100, -g - g + 500 = 5*x. Let q = -221/24 - -31/3. Calculate the common denominator of (4/x)/((-4)/490) and q.
40
What is the lowest common multiple of -12*((-70)/(-28) + (-3 - 0)) and 3?
6
Calculate the lowest common multiple of 600/36*(3 + 204/20) and 60.
660
Suppose -7 = -3*r + 5. Let b = -19607 + 19615. Calculate the least common multiple of b and r.
8
Let r(c) = c**3 + 7*c**2 - 2. Let h be r(-7). Suppose -4*j + 17 = -3. Calculate the smallest common multiple of (-4)/(4/j)*h and 11.
110
Let s(t) = 11*t**3 + 2*t**2 + t - 1. Let j be s(3). Suppose 2*d + d - j = -2*q, 307 = 3*d + 4*q. What is the common denominator of 3/(-6)*d/(-5) and -113/10?
10
Let c(u) = -u**2 + 12*u + 11. Let n be c(13). Let d(g) = -5*g + 2. Calculate the least common multiple of d(n) and 2.
12
Suppose -624*x + 633*x = 1305. What is the lowest common multiple of x and 10?
290
Let x = -10/439 + 14101/638306. Let s = -72717/24718 - x. Find the common denominator of -36/5 and s.
85
Let p be (-3)/(-4)*364/39. Find the common denominator of 59/4 and ((-92)/28)/((-1)/p + 1).
12
Let q(t) be the second derivative of -t**3/6 - 2*t**2 + 21*t. Let b(x) = -2*x**2 + 4*x. Let w be b(3). Calculate the smallest common multiple of q(w) and 28.
28
Suppose 0*k + 3*k = -6, -3*u + 3*k = -171. What is the least common multiple of u and 15?
165
What is the least common multiple of (-13 + 471/(-15))*(-10)/4 and 3?
111
Let j = -2159/117 - -276/13. Let w = -528/5 - -4409/40. Find the common denominator of j and w.
72
Let g(w) = -w**2 + 6*w + 3. Suppose 5*h - 552 = 4*i, 0 = h - 5*i + 4*i - 111. Let a = h - 97. What is the lowest common multiple of a and g(5)?
88
Suppose 0 = 4*i - 72 + 12. Let z = 2527103/375930 - 1/20885. Calculate the common denominator of z and (5/(75/(-38)))/((-36)/i).
18
Find the common denominator of ((-2656)/(-96))/(((-88)/6)/(-2)) and 139/96.
1056
Let b = -40 - -42. Suppose 0 = -b*k - 5*k + 21. What is the least common multiple of k and 4?
12
Let c(q) = 2*q**2 - 22*q - 104. Calculate the least common multiple of c(-4) and 10.
80
Let i be ((-2)/(-8))/(((-348)/80)/3). Let x = i - -2765/58. What is the common denominator of -79/2 and x?
2
Let x be ((-1)/(-3))/(42/9 - 5). What is the lowest common multiple of 8 - 5 - 5*x*3 and 1?
18
Let y(x) = x**3 - 23*x**2 + 40*x - 381. Suppose -3*v - 48 = -7*v. What is the lowest common multiple of y(22) and v?
60
Let o = -651 + -411. Calculate the common denominator of -76/3 and (-3)/(-7) + o/(-364).
78
Let q = -8550651 - -3967505089/464. Let c = 1117 - 32428/29. Let i = c + q. Find the common denominator of -93/2 and i.
16
Let a(o) = -4*o + 4. Let v be a(-3). Suppose 5*u + v + 44 = 0. What is the least common multiple of 7 and 8/u + (-16)/(-6)?
14
Let i = -5413/1320 - -1/1320. What is the common denominator of i and -1 + 4 + (-129)/10?
10
Suppose 4*s - 10 = -s. Find the common denominator of (-1)/(-44)*s*-60 and 0 + 64/18 + 1.
99
Let g = -2399/11154 + 1/338. What is the common denominator of g and 41/33?
33
Let i = -44 - -60. Let w(r) = r - 12. Calculate the least common multiple of 11 and w(i).
44
Let l(i) = i + 12. Let s be l(-6). What is the lowest common multiple of (-2)/s*(-1 - 5) and 9?
18
Let y = 219547387/888 + -247238. What is the common denominator of y and 58/21?
6216
Let s = 1/1342 - -3293/1342. Let i be 33603/(-20)*2 - (-10 - -6). Let f = 3351 + i. What is the common denominator of f and s?
110
Let b = 71933/36 + -1998. What is the common denominator of b and -74/9?
36
Let k(d) = -43*d + 571. What is the lowest common multiple of k(11) and 322?
2254
Let r = -24/113 + -2366/565. Let h = -1583/119 + 82/7. Calculate the common denominator of h and r.
85
Suppose -5*o = 1858 + 3022. Find the common denominator of (o/56)/((-4)/7) and -63/5.
10
Let h(p) = p**2 + p - 27. Let w = -28 + 21. What is the smallest common multiple of 6 and h(w)?
30
Suppose 32 - 2 = 2*b + 2*i, -5*b + i = -57. Suppose 3*g = -3*t + 18, -5*t + b = -3*g - 2*t. What is the smallest common multiple of 41 and g?
41
Suppose 8*j - v + 534 = 9*j, 0 = 3*j + 5*v - 1598. Calculate the least common multiple of j and 2.
536
Let h = -19764 + 4782879/242. Find the common denominator of h and -57/154.
1694
Let l = -9390/7 - -338635/252. Find the common denominator of 109/24 and l.
72
What is the lowest common multiple of (6/(-33) + (-102)/(-198))*66 and 32?
352
Let o(b) = -b**3 - 5*b**2 - 6*b - 3. Let m be o(-4). Let u be 23/m + 6/15. Calculate the common denominator of -56/11 and u/(-25) + 579/120.
88
Let i = 0 - 2. Let k be 16/(-88) - i/11. Let n = k - -2. Calculate the lowest common multiple of 2 and n.
2
Let z(k) = -k**3 - 20*k**2 - 20*k - 3. Let x be z(-19). Suppose 2*s - 8 = 2*i, 4*s - 2*i = -i + x. What is the smallest common multiple of 4 and s?
4
Let r = 557599/30 - 18581. Let q be (-6)/2*19490/(-30). Let n = 31135/16 - q. Calculate the common denominator of r and n.
240
Let v = -88 - -103. Let f(a) = a**3 + 6*a**2 + 7*a + 7. Find the common denominator of f(-5) and (-90)/(-25) + -3 + (-284)/v.
3
Suppose 40 = 3*u + 136. Let b = u + 62. Suppose 2*l - b = -l. Calculate the least common multiple of 4 and l.
20
What is the least common multiple of (-4)/(-18) - (-248)/18 and 2*(-1)/(-11) - 720/(-33)?
154
Let u(o) = 11*o + 17. Let n(l) = 6*l + 9. Let a(d) = 5*n(d) - 3*u(d). Let i be a(-6). Suppose 0 = -k - 1 + i. What is the lowest common multiple of k and 10?
110
Let q = 310059809/103082060 + -29592/16259. Let f = q - 12/317. Calculate the common denominator of 17/14 and f.
140
Let q = -179 + -16. Find the common denominator of q/(-16)*6/15 and 35/12.
24
Suppose 33946 = -14*h + 36*h. What is the lowest common multiple of 9 and h?
13887
Suppose 9*f = 7*f + 234. Suppose -5*n + f - 17 = 0. Calculate the smallest common multiple of ((-6)/(-4))/3*4 and n.
20
Calculate the common denominator of 38/171 - (2 + (-530)/126) and -23/11.
77
Let h = 66 + -48. What is the least common multiple of ((-11)/(-3) - 4)*-60 and h?
180
Let v(h) = 72*h - 476. Calculate the smallest common multiple of v(7) and 68.
476
Let c = -376 + 1021. What is the common denominator of 30*(-2 + 1300/c) and (20/(-25))/((-22)/(-130))?
473
Let z(p) = p**3 - 13*p**2 + 3*p + 1. Let n be z(13). Let k = 5417 + -86639/16. Calculate the common denominator of (-2)/(-8) + 216/n and k.
80
Let k = -12159/8 - -255553/168. Find the common denominator of k and 107/28.
84
What is the lowest common multiple of 11 and ((-6)/5)/(144/(-51360))?
4708
Let y be 23374/174 + (-2)/(-3) + -1. What is the common denominator of (-5 + (-23)/(-4))*y/9 and -56/3?
6
Let v = 3626 + -43483/12. Calculate the common denominator of 449570/77988 + (-8)/(-6) - 7 and v.
1164
Let a(b) = -b + 1. Let r(s) = -s**2 - s - 8. Let v(p) = -4*a(p) - r(p). What is the smallest common multiple of 32/12*(18/4 + 0) and v(-6)?
60
Let m be (-36)/8*(-600)/18. Find the common denominator of 755/m + -4 + -5 and 11/35.
210
Let i = -328/197 + -13211/7092. Calculate the common denominator of i and -41/12.
36
Suppose 6*f - 18 = -66. What is the common denominator of (-10 - f)/(0 - -8) and 23/2?
4
Suppose 20*m - 184 = 376. Calculate the lowest common multiple of 77 and m.
308
Let y(w) = 16*w - 12. Let z be y(12). Suppose 8*l = 2*l + z. What is the least common multiple of 6 and l?
30
Let u(t) = t**3 + 2*t**2 - 3*t + 4. Let i be u(-3). Let x be (-6)/244 - (i - 4). Let m = -1130/61 - x. Find the common denominator of 13/2 and m.
2
What is the common denominator of 65/54 and ((-2)/54)/((-36)/783)?
108
Suppose 268*p + 30 = 273*p. Calculate the lowest common multiple of p and 42.
42
Suppose 0*z = 5*z - 30. Find the common denomin