 = -169. Calculate the least common multiple of z and 105.
1995
Suppose -3*g - 34 = -115. Let z = 16867313/782184 - 857/7176. Let a = z + 6/109. What is the common denominator of g and a?
2
Find the common denominator of ((-2)/6)/(126/(-938)) and 13/18.
54
Let i = -334127/24 - -13927. Find the common denominator of i and ((40/(-28))/(-5))/((-660)/(-5285)).
264
Let g be (3/(36/448328))/(8/(-2)). Let v = -9316 - g. Find the common denominator of v and 55/28.
84
Let s(j) = -j**2 - j. Let r(i) = -i**2 - 7*i + 7. Let u(g) = r(g) - 2*s(g). Calculate the lowest common multiple of 6 and u(3).
6
Let q = 926507/366516 + -1/10181. Find the common denominator of q and 71/12.
36
Suppose -25*l - v = -26*l + 72, 387 = 5*l + 4*v. Calculate the lowest common multiple of l and 120.
600
Let c = 242505/46 - 5271. Find the common denominator of c and -51/8.
184
Suppose -o + 9 = -2*c, 3*o - 15 = c - o. What is the least common multiple of 24 and c - (-1 - 2) - -12?
24
Let y(f) = f**2 - 14*f - 2. Let c(a) = -a**2 + 12*a - 13. Let v be c(9). Let s be y(v). Calculate the lowest common multiple of 7*s/(-4)*2 and 9.
63
Let l be (9/2)/(-4 - (-27)/6). Let j(a) = -a**3 + 10*a**2 - 8*a - 3. What is the least common multiple of j(l) and 3?
6
Let a be (1 + (-2)/8)*4. Suppose 4*j = -b + 12, 0 = -3*j + 6. Suppose -b*q + 6 = l, -3*q - a*l = -8*q + 16. Calculate the smallest common multiple of 18 and q.
18
Let x(k) = 3*k**3 - k + 1. Let t be x(1). Suppose 1 = z - t. Suppose a - z = 2. What is the smallest common multiple of 2 and a?
6
Let j be 1/(-2) + 0 + (-55090)/36. Let g = -1528 - j. What is the common denominator of g and 127/6?
18
Let g be (18/(-24))/(1/(-16)). Suppose p = -f - 8, 0 = -4*p + 2*f - f - g. What is the smallest common multiple of 4 and 568/26 + p/(-26)?
44
Calculate the common denominator of 1*188/(-80)*30/24 and 41/22.
176
Let y = -99353/54660 + 92/911. What is the common denominator of -97/20 and y?
60
Suppose 3*m - 451 = -4*x - 39, -2*x = -m - 216. Let j = 117/2 - x. Calculate the common denominator of -5/2 and j.
2
Let w = -574 - -658. What is the lowest common multiple of w and 40?
840
Let k = -2339 - -2435. Calculate the least common multiple of k and 240.
480
Let d = 12/205 + -8043/820. Let c = 2813/2 - 1430. What is the common denominator of d and c?
4
Let p = 24030547/1011807 + -82/10431. Let v = -3/388 - p. What is the common denominator of v and 4*(-3)/(-66) + 1?
44
Suppose -r + 6282 = r. Suppose r = -2*n - q, -n - n - 4*q = 3132. Let d = 4783/3 + n. Calculate the common denominator of -69/10 and d.
30
Let f(b) = -2*b - 8. Let y be f(-6). Suppose -12 = -y*j, -3*t - 55 = -8*t - 5*j. Suppose 15*i - 11*i = t. What is the smallest common multiple of i and 11?
22
Let f = -208175/117 - -1779. Calculate the common denominator of f and -133/234.
234
Let z = -6 - -10. Suppose i + 2 = 5. Let v = i + z. Calculate the lowest common multiple of 2 and v.
14
Suppose 0 = -5*s + 4*y + 11 + 6, -3*s + 4*y = -7. Let r = s + 3. Find the common denominator of 1270/(-288) - r/(-36) and -71/10.
80
Let h = -5/1292 + 39173/23256. What is the common denominator of h and 85/12?
72
Let r(m) = 23*m**2 - 52*m - 51. Calculate the least common multiple of r(-1) and 192.
192
Let l = 614 + -3673/6. Calculate the common denominator of -21/47 and l.
282
Let m(w) = -13*w - 155. Calculate the lowest common multiple of m(-15) and 6.
120
Suppose -58 = 3*g - 2*g. Let w = -32 - g. Calculate the smallest common multiple of w and 16.
208
Suppose -7 = -2*o + 3. Suppose 0 = o*w - 35 - 25. What is the common denominator of (2 + 2)*(-2)/w and -55/9?
9
Suppose n = 14 - 16. Calculate the common denominator of (13/156)/(n/(-28)) and -41/23.
138
Suppose 0 = 4*m + m + 40. Calculate the smallest common multiple of 12 and 522/24 + 6/m.
84
Let u = 2821940/361 - 7817. Let x = -34289/722 - u. Find the common denominator of x and (-4)/(-5)*(4 + 1).
2
Let x be (-10644)/(-36813) - (-4)/(-14). Let p = x - 208643/10518. Suppose 48*y - 48 = 44*y. What is the common denominator of y and p?
6
Suppose 4*q = 2*q + 12. Let l = -30 - q. Calculate the lowest common multiple of ((-1)/3)/(2/l) and 12.
12
Let h = 5612837/40910 - -3/8182. Let f = h - 5223/40. Find the common denominator of f and 87/2.
8
Let y be 301/(-42) - 2/(-12). Calculate the smallest common multiple of 20 and 23 + y/(14/6).
20
Let l = -441 - -8873/20. Calculate the common denominator of l and -101/32.
160
Calculate the least common multiple of 9 and -5*(66/(-45) - 8/(-12)).
36
Find the common denominator of ((-28)/42)/(12/151) and 97/18.
18
Let s be (-4)/(-6) + (-182)/(-6). Let i = 4784 + -38367/8. Find the common denominator of i and s/(-28) + 3/12.
56
Let t = -649 - -694. What is the least common multiple of 81 and t?
405
Suppose 285 + 578 = -5*o - 4*f, o - 4*f + 163 = 0. What is the common denominator of -7/11 and o/(-333) - 0/1?
407
Suppose v - 131 = -k, -237 = -5*k + 3*k + 3*v. What is the smallest common multiple of k and 28?
252
Let q = -19 - -21. Find the common denominator of 11/14 and -33*q*(-6)/8.
14
Calculate the least common multiple of 12 and (1 + (9 - 2/2))*4.
36
Let c = 15/47 - -1745/423. Let m(r) = -4 + 10 - 5 + 2*r - 6. What is the common denominator of c and m(-10)?
9
Calculate the lowest common multiple of 306 and (315/(-14))/(-5)*(-748)/(-6).
3366
Let d = -21220 - -933755/44. Calculate the common denominator of d and 14/36*3*(-40)/(-16).
132
Suppose 5*c = 4*t - 9 + 1, -2*c = 0. Let x(b) = -42*b**t + 22*b**2 - b + 21*b**2. Calculate the smallest common multiple of 3 and x(3).
6
Let t(i) = i**3 + 7*i**2 - 22*i - 1. Let d be t(-9). What is the smallest common multiple of (3 - (-1915)/d) + (-2)/(-7) and 3?
174
Suppose 0 = -2*n - 3*b + 9, -2*n - 4*b = -4*n + 44. Let s = n + -7. What is the smallest common multiple of 2 and s?
10
Let c(o) = 28*o + 14. Let s(j) = 84*j + 41. Let y(w) = 11*c(w) - 4*s(w). What is the lowest common multiple of y(-1) and 12?
36
Suppose -2*f = -10 - 2. Let w(p) = -5*p**2 + 3*p + 2. Let t be w(2). Let c = 15 + t. Calculate the smallest common multiple of f and c.
6
Let o = 2259 - 20255/9. Suppose 0*j = -2*j + 28. Suppose -g + j = 53. Calculate the common denominator of o and g.
9
What is the least common multiple of -157 + 165 + (0 - -9) and 1?
17
Let p = 537078/7 - 8767163/112. Let y = p + 1552. Find the common denominator of y and 2 - (-58*7/(-44) - (3 + 1)).
176
Let l = -9 + 12. Suppose 5*t = -4*b - 2 - 3, 3*t = 2*b - l. What is the lowest common multiple of 11 and (-1 - b)/((-2)/4)?
22
Calculate the smallest common multiple of -5 - (1 + -2)*-25*-1 and 44.
220
Suppose -2*r - 1 = -7. Suppose -6*a = -2*a - 80. Suppose -r*m + a = m. Calculate the lowest common multiple of m and 10.
10
Let y = 59 + -39. Let c = y - 14. Let f(p) = p**2 - 4*p + 4. What is the least common multiple of f(c) and 18?
144
Let k = 91 + -51. Let z(q) = -q + 17. Let m be z(13). Suppose -42 = n - m*n. Calculate the lowest common multiple of k and n.
280
Suppose -4*i = -33 - 11. What is the lowest common multiple of i and 55/4 - 1/(-4)?
154
Suppose 3*l + 453 = f + 2*f, 0 = -l + 3*f - 149. Let v = l - -521/3. What is the common denominator of ((-39)/650*-10)/(2/34) and v?
15
Suppose o = -2*r - 416, 0 = -5*r + 2*o - 3*o - 1046. Suppose 6*m + 18 = 150. What is the lowest common multiple of m and 86/30 - 28/r?
66
What is the common denominator of (-6)/9 + ((-184)/(-36) - 4) and ((-1)/22*-1)/(2/(-152))?
99
Let y(r) = -r**3 - 13*r**2 - 42*r - 12. Calculate the least common multiple of 42 and y(-9).
42
Let z(r) be the first derivative of -1/2*r**2 - 5*r - 5. What is the lowest common multiple of z(-7) and 14?
14
Let c = -2187 - -24022/11. Find the common denominator of (16/(-220))/(4/30) and c.
11
Find the common denominator of 51/(-68) - ((-154)/(-48))/1 and -107/18.
72
Let i = 115/208 + 49/26. What is the common denominator of 33/8 and i?
16
Let b(a) = a**3 + 11*a**2 + a + 23. Let d be b(-11). Suppose 0 = o - d*o + 33. Let u = 22 + -7. Calculate the least common multiple of u and o.
15
Let c = 68 + -28. Find the common denominator of 12/(-16) - (-482)/c and (-15 - -15) + 1/(-16).
80
Suppose 21*p - 14*p = 14. What is the lowest common multiple of p and (3 - 2) + (-1 - -42)?
42
Find the common denominator of (1/10)/((-5)/165) and (-49)/12*(-13