 l be ((-1)/(-3))/(15/5625). Let q = l + -225. What is the common denominator of 99/8 and q/112 + 3/21?
8
Suppose -10 = 8*s + 22. Calculate the lowest common multiple of (-30)/(-2 + s) - -20 and 5.
25
Let n be (-12)/(-28) - 42108/98301. Let h = 229336/154473 + n. What is the common denominator of h and 7/60?
660
Suppose 0*y - 2*y = 0, 15 = 5*f - 3*y. Suppose f*z = 2 + 13. What is the least common multiple of z and 9?
45
Let x = 27244 - 1580053/58. What is the common denominator of -29/4 and x?
116
Let f = 10 - 7. Suppose -f*r - 42 = -5*r. Let k = 22 - r. What is the lowest common multiple of 8 and k?
8
Let v = -174049/36176 - 3/2261. What is the common denominator of 3/(-7)*(-58)/(-4) and v?
112
Suppose 0 = -2*f - 3*u + 31, f - u = 4*u + 22. Suppose 63 + f = 5*i. Suppose 19*g - i*g - 3 = 0. What is the smallest common multiple of g and 16?
16
Let s(c) = -c**3 - 9*c**2 - 3*c - 23. Let b = 15 - 7. What is the lowest common multiple of b and s(-9)?
8
Let w = 32467819/1800 + -450772/25. Let x = 11/120 + w. Find the common denominator of x and 14.
9
Let m be (81782/(-27390) - -3) + 4/30. Let l = 1/249 + m. Calculate the common denominator of -32/21 and l.
231
Calculate the common denominator of 3/10*98/(-48) and -111/160.
160
Let s = 52749/44 + -1198. Find the common denominator of s and 119/66.
132
Let h = 51 + -31. Let d = -24 + h. What is the common denominator of -43/7 and (-22)/14 + d + 0?
7
Let t be (-69)/(-12) + (-1)/(-12)*3. Find the common denominator of -117/14 and (160/(-14) - -1)/(t/(-7)).
42
Let n = -3 - -7. Let p(f) = f - 9. Let v be p(13). Suppose v*w + 20 = 9*w. Calculate the smallest common multiple of n and w.
4
Let y be 8*3 - 36/(16 + -7). Find the common denominator of -121/50 and ((-6)/18)/(y/(-214)).
150
Let l(z) = -z**2 + 1. Let a be l(1). Suppose 3*x + 3*r - 24 = a, -x + 0*x + 4*r = -28. What is the least common multiple of 22 and x?
132
Let m(o) = o**2 + 9*o - 2. Let g(l) = l**2 + 2*l. Calculate the least common multiple of m(-10) and g(2).
8
Let w = 94961/591660 - -4/147915. Calculate the common denominator of 97/30 and w.
1140
Let a(d) = d**2 + 18*d - 7. Let y be a(-18). Let s be 18/8 - y/(-28). What is the lowest common multiple of 1161/90 - s/(-20) and 4?
52
Suppose 2*p - 3*p + 5*j + 11 = 0, 0 = -5*p - 4*j + 84. Let h = 18 + p. What is the lowest common multiple of 4 and h?
68
Let m = 671609/645028 + -1/8836. Let r be 127/6*3/(-657). Let d = r + m. Calculate the common denominator of d and -81/4.
36
Suppose -5*q - 2*y + 450 = 1382, -y = 1. Let t be (-3*(-5 + (-2972)/8))/6. Let u = t + q. Calculate the common denominator of u and -14/3.
12
Let a be (-1 - 3)*4/8. Calculate the smallest common multiple of 3 + (a/10 - 33/(-15)) and (-9)/6*2/(-3).
5
Suppose 3*g = -9, -2*z + 6 = -0*z - 4*g. What is the smallest common multiple of 10 and (-246)/(-15) + 6/45*z?
80
Suppose 8*i = 64 + 16. Suppose 4*k - 4 = 2*k + 3*w, -w = 2*k - 4. Calculate the least common multiple of k and i.
10
Let m be (-1 - -11)/(4/(-12)). What is the common denominator of (-2)/(-6) - 311/m and 26?
10
Suppose -4*o = -346 - 698. Let u = -62/15 - 107/10. Find the common denominator of u and o/(-12) - 2/2.
12
What is the smallest common multiple of 462 and -3*(-2008)/108 + (-6)/(-27)?
1848
Suppose -3*o = -o + 30. Let s = 99/130 + 124/13. Find the common denominator of (-2229)/495 + 2/o and s.
110
Suppose -4*u + 2*b = -474, 12*u - 3*b = 15*u - 369. What is the least common multiple of u and 270?
1080
Let q(f) = -f - 15. Let s be q(26). Let g = s - -59. Calculate the smallest common multiple of g and 10.
90
Suppose -244*a + 253*a = 1134. Calculate the lowest common multiple of a and 45.
630
Find the common denominator of (-438)/270 - (-3 + 16/5) and 80/33.
495
Suppose 51 = -4*z + 11. Let n = 16 + z. What is the lowest common multiple of 4/6*n/2 and 6?
6
Calculate the common denominator of (-10)/(-55) + (-3012)/(-495) and 61/50.
150
Let h(p) = -28*p**3 + 3*p**2 + 10*p + 1. Let m be h(6). Let q = m + 82415/14. Calculate the common denominator of -1/64 and q.
448
Let m = -7609/1328 + 128/83. Calculate the common denominator of m and 11/(-121)*305/(-20).
176
Let w = -253/11802 + -2/843. Calculate the common denominator of 11/6 and w.
42
Let c(j) = 4*j**3 + 5*j**2 - 13*j - 6. Suppose k - 1 + 0 = 0. Suppose -l + 17 - k = -r, -5*l - r + 104 = 0. What is the lowest common multiple of l and c(2)?
20
Let i = -1/1605 - -142879/54570. Calculate the common denominator of i and 5/8.
136
Let g = 62 + 10. Suppose -2*v - v = g. What is the common denominator of -123/10 and v*((-4)/(-28) + 0)?
70
Let a be (-5)/(-2 + (1 - 0)). Let q(v) = v**2 - 3*v. Let r(h) = 13*h - 153. What is the smallest common multiple of q(a) and r(12)?
30
Let k = -265 + 277. Calculate the smallest common multiple of k and 26.
156
What is the common denominator of (-3)/(-2) + (-9)/((-4536)/(-322)) and 91/16?
144
Let y(t) = -40*t - 4. What is the smallest common multiple of y(-1) and (-2)/6*-3 - -5?
36
Let t be (5 + -11)*(-2)/6. Let h(a) = a**3 - 5*a + 2. Let r be h(t). Suppose -3*c + 25 + 11 = r. What is the least common multiple of 20 and c?
60
Let g = 2702/18603 - -2/689. Let c = g + -59/216. Let k = 75151/3904 + 1/3904. What is the common denominator of k and c?
8
Let y = -11587428 - -394034733/34. Let c = -1826 + y. Find the common denominator of c and -137/6.
102
Let n(z) = z**2 + 7*z + 11. Calculate the least common multiple of n(-6) and 2/(-8) - 145/(-20).
35
Suppose 4*y - k = 50, 4*y + 5*k - 38 = -0*k. What is the lowest common multiple of y and (-10 - 0)*45/(-25)?
36
Suppose -3*y - 7*q + 2*q = -162, -2*y - 4*q + 108 = 0. Suppose -4*t + t = -y. Calculate the least common multiple of t and 6.
18
Let r = -46981/3820 + -1/764. What is the common denominator of r and (7/15)/(15/125)?
90
Let m be 3/(-6)*(-1 - 105). Suppose m = 8*j + 5. Calculate the lowest common multiple of 16 and j.
48
Suppose 15*t = 1222 + 2348. What is the least common multiple of 42 and t?
714
Find the common denominator of 83/4 and (8/336)/(((-3)/1)/(-321)).
84
Let f(g) = g**3 + 9*g**2 - 21*g + 15. Let n(u) = u + 4. Suppose 10 = -3*o - 2*l, 3*o + l + 12 = -2*l. Calculate the smallest common multiple of n(o) and f(-11).
4
Let w = -144 - -143. What is the common denominator of ((-37)/(-2) - w)*(-104)/(-117) and 49/11?
33
Let x = 48419/8184 - -1/2728. Let n = 10385/6 + -1707. What is the common denominator of n and x?
12
Let u be 5/5*(1*-2 + -10). What is the common denominator of 49/22 and 12/18 + 286/u?
66
Suppose 2*g - 5*j + 0 - 1 = 0, 2*g - 22 = -2*j. Let l(h) = -51*h - 8. Let a be l(-1). Suppose -38 = 5*q - a. Calculate the least common multiple of q and g.
8
Suppose 5*y = 36 + 24. Suppose -15 - y = -3*f. Calculate the lowest common multiple of f and 6.
18
Let j = 145 + -89. Calculate the least common multiple of j and 32.
224
Let j(h) = -h**2 + 18*h - 1. Let g be j(-17). Let u be (-3)/(-75)*(-8)/g. Let o = -175043/59600 - u. Calculate the common denominator of o and 43/4.
16
Let q(n) = 134*n**2 - 2*n + 5. Let w be q(-4). Let b = -12913/6 + w. Find the common denominator of -23/2 and b.
6
Let v = -2551 - -17896/7. What is the common denominator of 11/7 and v?
7
Calculate the least common multiple of 3150/14 + -4 + 15 and 36.
2124
Let x = 10467 - 157082/15. Calculate the common denominator of x and 65/(-60) + (-1)/2.
60
Let g(v) = -v**3 - 2*v**2 + 2*v + 3. Suppose 3*m + 29 - 68 = 0. Suppose 0 = -m*t + 5*t + 120. What is the lowest common multiple of t and g(-3)?
30
Let k be ((-1)/(-4))/((-282)/48 - -6). Suppose 64 = 2*n - k*s, -s + 73 + 27 = 3*n. Calculate the smallest common multiple of 3 and n.
33
Let h = 3825 + -23047/6. Find the common denominator of h and (4/72)/((-17)/(-527)).
18
Calculate the smallest common multiple of 0 - (18/9 + -12) and 18.
90
Let f be 5302/(-48)*2/16. Let q = -5/192 + f. Find the common denominator of q and ((-15)/20)/(1737/618 - 3).
78
Let a(p) = 6*p**2 + 3*p - 1. Let z be a(1). Suppose z*f - 50 = 3*f. Let d = -11 - -23. Calculate the lowest common multiple of f and d.
60
Let f(j) = 6*j**3 + 3*j**2 - 4*j + 3. Calculate the least common multiple of f(2) and 5.
55
Let d = 198377327/48 - 4132483. Let u = d - 2245/6. Calculate the common denominator of 13/8 and u.
16
Let g be (21/132)/(4/114832). Let 