e -2*j = 5*w + 68, -3*w + 6*w + 28 = 2*j. Calculate the common denominator of -113/6 and (-12)/w - (-902)/(-1140).
570
Let w(a) = 11*a - 33 - 16*a + 8*a. Let f be w(-7). Calculate the common denominator of 27/f*19/2 and -43/4.
4
Let h(p) = -p**3 - 88*p**2 - 6*p + 84. What is the least common multiple of h(-88) and 312?
15912
Let f = 65173/12 - 5425. Let y = -130 + 88. Calculate the common denominator of 53/y - 4/(-8) and f.
84
Let r = 106 + -108. What is the common denominator of -115/66 and ((-1212)/528)/(r/(-4))?
66
Let h(i) = -4*i**3 - 2*i**2 - 4*i. Calculate the least common multiple of h(-3) and 5*7*1 + (-69)/(-759)*-55.
510
Let u(r) = 5*r**2 + 28*r + 3. Suppose -15*k - 54 = -6*k. Calculate the smallest common multiple of u(k) and 45.
45
Let i(l) = -11*l - 174. Let p be i(-18). Let u(s) = 5*s - 78. What is the smallest common multiple of u(p) and 51?
714
Let y = 15272 - 15262. Calculate the lowest common multiple of (5 - (-1 + 0))*4 and y.
120
Let o(c) = 9*c + 2*c - 18*c - 2 - 2. What is the smallest common multiple of o(-1) and 8?
24
Let q(a) = -a**3 + 12*a**2 - 33*a - 2. Let z be q(5). What is the common denominator of -59/9 and ((-91)/z)/(30/(-4) + 3)?
36
Let j be (5 - 8 - 80)*1191. Let y = j + 11862187/120. Find the common denominator of y and 5/36.
360
Let r = -12035 - -12111. Calculate the smallest common multiple of 672 and r.
12768
Suppose -6 = -2*z + 8. Let u = z - -15. Suppose n - 13 = -2*p + 2*n, -5*p + 3*n = -31. What is the smallest common multiple of p and u?
88
Let r be ((-72830)/(-3))/(-10) - 6. Let l = 2411 + r. Calculate the common denominator of ((-29)/12)/(10/16) and l.
15
What is the common denominator of -75/4 and (2143845/16210)/(-33) + 4?
6484
Let d = 730 - 725. What is the lowest common multiple of d and 292?
1460
Suppose -11*u + 221 - 1761 = 0. Let k = 15851/7 - 2271. What is the common denominator of k and (-845)/u + (-3 - (-27)/12)?
7
Let f(l) = -2*l + 4 + 2 - 3 + 2*l**2. Calculate the smallest common multiple of f(4) and 5/(-1) - (-12 - 16/2).
135
Let l(k) = -2*k**3 - 11*k**2 - 6*k + 10. Let r be l(-4). Let b = -22 - -32. Let m = b - r. Calculate the smallest common multiple of 30 and m.
120
Find the common denominator of (-451)/(-1435)*(-190)/8 + (7 - 1) and -19/168.
168
Let i = -699 - -723. Suppose -5*x - i*b + 5 = -26*b, -3*b + 18 = x. What is the lowest common multiple of x and 11?
33
Let k(l) = -41*l + 181. Let t be k(17). Let b = t - -533. What is the least common multiple of b and (-61)/(-7) - 4/(-14)?
153
Calculate the lowest common multiple of (8*5/70)/((-2)/(-49)) and 301.
602
Suppose 0*u - 30 = 30*u. Find the common denominator of (3 + 100)/(u*(22 - 4)) and -107/24.
72
Let f = 124 + 175. Suppose -37*t + f - 3 = 0. What is the least common multiple of t and 144?
144
Let w(x) = -19*x + 754. Let j(m) = 105*m - 4151. Let y(k) = 5*j(k) + 28*w(k). Let z = -11 + 18. Calculate the smallest common multiple of z and y(50).
7
Suppose 16*w + 82 + 270 = 0. What is the common denominator of 4/w - (-33775)/(-2695) - -6 and -41/51?
357
Let n(r) = 7*r**2 + 1. Let d = 25 - 19. Calculate the lowest common multiple of ((-63)/d + 3)*16/(-6) and n(1).
40
Let k be 1/12*81*80/3. Let i = k - 156. Calculate the smallest common multiple of i and 3.
24
Let f(n) = -4*n**2 - n - 1. Let m be f(-1). Find the common denominator of ((-18)/27)/(6/m - -1) and -34/33.
33
Let w(q) = q**2 - 20*q + 103. Suppose 8*a - 74 - 46 = 0. Calculate the lowest common multiple of w(a) and 24.
168
Let p(i) = 11*i**3 - 3*i**2 - 2. Let f be p(3). Calculate the smallest common multiple of (12/18)/(f/(-90) - -3) and 95.
570
Find the common denominator of 1 - 1075/120 - (-3 + 1) and 0/17 + 2/((-28)/(-55)).
168
Let p = 22666/279675 - 2/8475. Calculate the common denominator of ((-68)/(-10))/(2*(-144)/200) and p.
198
Let l = 3644 - 3638. What is the smallest common multiple of 178 and l?
534
Suppose -5*z - 2*z = -797 - 141. What is the lowest common multiple of 8 and z?
536
Let a = 23840 - 1978718/83. Find the common denominator of a and -113/3984.
3984
Suppose 3*i = i. Suppose i = 21*u - 26*u + 30. Suppose b - 2 = u. Calculate the lowest common multiple of 4 and b.
8
Let w = -7 + 11. Calculate the lowest common multiple of 180/(-81)*(-117)/26 and 2/w - 254/(-4).
320
Let q = -47810/11 + 30788287/7084. Calculate the common denominator of 65/828 and q.
5796
Let j = 239 + -319. What is the common denominator of ((-6)/28)/3*(j + -20) and -71/14?
14
Let y = -427 - -288. Find the common denominator of y/(-9)*(-3)/(-4) and (498/64)/((-360)/(-96) - 3).
24
What is the common denominator of -81/10 and (-192)/(-33)*(-5)/(-10)*(-28)/(-1648)?
11330
Let m(v) = 3*v + 15. Suppose -6*y + 60 = 4*y. What is the least common multiple of 15 and m(y)?
165
Suppose -3*r + 32 = -2*r. Let v = r - 12. Let s = -120453 + 120457. What is the least common multiple of s and v?
20
What is the smallest common multiple of 15080 and (13 - 3) + -1 + 9 + -8?
15080
Let j be -2 - (-127513718)/70840910 - 7/(-35). Let k = j + -1936641713665/155850002. Let n = k + 12430. Calculate the common denominator of n and 15/4.
44
Suppose -s - s - 28 = 0. Let k(p) = -p + 30. Let n be k(s). Let a = n - 17. Calculate the lowest common multiple of a and 15.
135
Find the common denominator of -53/132 and ((-2)/984)/(288/(-1056)).
16236
Let c(u) = u**2 + 15*u + 47. Suppose -159 = 15*l + 36. Calculate the least common multiple of 9 and c(l).
63
Let q be 382335/75 + 2 + 27/(-15). Let d = q - 81619/16. Calculate the common denominator of (9/42)/(8/266) and d.
16
Let v(u) = -u**2 + 9*u + 2086. What is the lowest common multiple of 954 and v(50)?
1908
Let n(f) = 6*f**3 + 8*f**2 - 5*f - 7. Let x be n(6). Let v = x + -75799/49. Calculate the common denominator of 10/49 and v.
49
Suppose 0 = 23*q - 761 - 1102. Suppose 8*s - q = -1. Calculate the lowest common multiple of s and 3.
30
Suppose -9 = z - o - 28, -5*o + 113 = 3*z. What is the least common multiple of 321 and z?
8346
Suppose -y = 5*z + 23 - 16, -3*y = 4*z + 43. Let i(u) = -u**3 - 18*u**2 - 19*u - 19. Calculate the least common multiple of i(y) and 25.
75
Let r = 13810/7 - 1978. Calculate the common denominator of -46/113 and r.
791
Let z = -10 + 12. Suppose -u - 5 = -z*u. Let l = 2273 + -2255. Calculate the lowest common multiple of l and u.
90
Let w = 3767/4 + -934. Let r(a) = -3*a**2 + 12*a - 6. Let p be r(8). Find the common denominator of w and (p/20)/(2/(-4)).
20
Suppose 2*w - w + 185 = 5*c, -w - 185 = 4*c. Let v be w/(-65) + -2*(-3)/39. Suppose -113 = -5*m - v. Calculate the least common multiple of m and 16.
176
Let a = 1732 - 1578. Calculate the smallest common multiple of 847 and a.
1694
Suppose 59*s = 19*s + 7320. Suppose -19*i + s + 197 = 0. What is the smallest common multiple of i and 60?
60
Suppose 0 = -4*y + 8, 2*v - 4 = -0*v - y. Let x be 264275/(-82960) - -1 - v*-3. Let f = -2/1037 + x. Find the common denominator of f and -11/9.
144
Suppose -10*g + 8*g = -12. Let p = 73 - 67. Calculate the least common multiple of p and (-22)/(-3) + 4/g.
24
Let w = -49 + 50. Suppose o = -4, 5*o - w - 12 = -z. Calculate the lowest common multiple of 29 + (3 - (1 + 1)) and z.
330
Let t(v) = 14*v**2 - 377*v - 350. What is the least common multiple of t(28) and 3990?
3990
Let i(u) = -8*u - 77. Let s be i(20). Let v = s - -251. Calculate the smallest common multiple of 216 and v.
1512
Let c be (1/(-9) - 0) + (-1206656)/(-4608). Let k = -39 + -221. Let b = k + c. Find the common denominator of -89/20 and b.
20
Let k = -89664566041856027/107751316355492 + 6/32030712353. Let n = k + -510/841. Let b = -828 - n. Find the common denominator of b and 73/56.
56
Suppose 0 = 5*p - 33 + 98. Let m = p - -23. Suppose 34 = -20*h + 74. What is the lowest common multiple of h and m?
10
Let q(r) = r**3 + 9*r**2 - 6*r - 4. Let o be q(-9). Let k = -106 + o. What is the lowest common multiple of 16/k - (-30)/7 and 14?
28
Let f(d) = 2*d**2 - 3*d + 2. Let o be f(-3). Let i = o + 76. Suppose 17*h = 10*h + i. What is the least common multiple of 15 and h?
15
Suppose -674*r + 3*k + 9 = -675*r, 2*r + 2*k = 6. Let f = 2 + 2. What is the least common multiple of f and r?
36
Let y be (8/10)/((-2856)/2443580). Let h = 686 + y. Find the common denominator of 71/33 and h.
231
Let w = -1585717