*h = 1 - 9, 3*j = 3*h + 21. Let c(r) = -4 + 4*r**2 - j*r**2 - r**2 - 10*r. Calculate the least common multiple of 20 and c(-4).
20
Let d(u) = 2*u**3 - 3*u**2 - 4*u - 1. What is the lowest common multiple of d(3) and 6?
42
Let u be 12*8/36*-6. What is the smallest common multiple of (2/(-4))/(1/(-36)) and (u + -8)*2/(-4)?
36
Suppose 0 = 2*t + 6, -2*t + 84 = -2*p + 5*p. Suppose -n + 8 = -p. Let v = n - 27. Calculate the smallest common multiple of 8 and v.
88
Let k(y) = -3*y - 2. Suppose 8*o - 44 = 4. Calculate the lowest common multiple of o and k(-2).
12
Calculate the lowest common multiple of 88/12 + (-2)/6 and 3.
21
Let k be ((-12)/(-10))/(6/100). Let n = 29 - k. What is the least common multiple of 2 and n?
18
Suppose 0 = -a + 10 - 3. Calculate the least common multiple of a and 8.
56
Calculate the least common multiple of 2 and 4/(-16)*-2*20.
10
Let l = 4868 - 87743/18. What is the common denominator of (-2)/(-7)*18/(-8) and l?
126
Let z = 45 - 33. What is the smallest common multiple of z and 2?
12
Suppose 0*j + 2*j = -6, -3*j - 7 = -m. Find the common denominator of 0 + 129/(-24)*m and -2*-8*2/6.
12
Let n = 4693/168 + -836/21. Calculate the common denominator of -61/30 and n.
120
Let i = -3/245 + -4156/735. Calculate the common denominator of -6*(1 + 19/(-9)) and i.
3
Let k be (-1)/(2/4 - 1). Suppose d = k*d - 20. What is the smallest common multiple of 6 and d?
60
Let q = -1917 - -6191. Let a = -34255/8 + q. Calculate the common denominator of -57/4 and a.
8
Let u = -1125433/20 - -56260. Let x = 27/20 + u. Calculate the common denominator of x and 51/22.
110
Suppose 6*n - 266 = 2*n - 2*h, -2*h = -5*n + 346. Calculate the smallest common multiple of 4 and n.
68
What is the common denominator of 5/9 and 6/(-15) + 3591/490?
126
Let s be (8/30)/((-8)/13548). Let q = s - -457. Calculate the common denominator of q and 16/7.
35
Let q = -12/149 - 8981/1341. Find the common denominator of q and 76/9.
9
Let t = -2/535 + -15489/6955. What is the common denominator of t and 3/11?
143
Let p = -2558745/1346 - -1901. Let r = p - -8741/10768. What is the common denominator of r and -79/22?
176
Suppose -t = -3*t + 8. What is the least common multiple of t and 10?
20
Suppose -19 = -3*k - f, k - 3*f = -3*k + 47. Suppose 3*w = 61 + 23. Suppose 6 = -3*n, n - w = -2*o + 5*n. Calculate the smallest common multiple of o and k.
40
Let n = 20 + -18. What is the smallest common multiple of 80 and n?
80
Let j = -7 + 20. Find the common denominator of j/18*(-3 + 2) and (-90)/(-88) - 12/(-16).
198
Let t be (-2 + 3)/(-1) + -1605. Let c = -12889/8 - t. Find the common denominator of c and (-10)/(-6) - 1/(-6).
24
Let a = 14599/12 + -1218. Let m be (10/4 - 3)*4. What is the common denominator of a and (-334)/(-48)*-2 - m?
12
Suppose 0 = 5*a + 5*g - 185, 4*a + 12 = 3*g + 181. Suppose m = 3*m - a. Calculate the least common multiple of m and 12.
60
Let x(f) = -2*f + 4. What is the lowest common multiple of 2 and x(-5)?
14
Let b = -14 - -28. Calculate the smallest common multiple of b and 10.
70
Find the common denominator of 71/20 and 23/((108/10)/(5/(-25))).
540
Suppose -4*o - 19 = 3*k, o + 23 = 5*k + 1. What is the lowest common multiple of ((-12)/o)/((-2)/(-21)) and 24/5*(-20)/(-6)?
144
Let t(u) = -1 + 3*u**2 - 4*u**2 + u + 3*u**2. Calculate the least common multiple of t(3) and 12.
60
Find the common denominator of 35/9 and (-117)/(-10) + (-18)/30.
90
Let p = -124/72149 - 14391053/3463152. Let i = 73/48 + p. Let w = 1/256 + -15235/768. Find the common denominator of i and w.
66
Suppose -2*x + 3*s + 44 = -0*x, 4*x - 88 = -4*s. Suppose 4*y - 3*w - x - 29 = 0, w - 48 = -3*y. What is the common denominator of (y/48)/(2/(-22)) and -125/18?
144
Let u(l) = l**3 - 13*l**2 - 14*l + 3. Let t be u(14). Suppose -5*a + 19 + 11 = 0. What is the lowest common multiple of a and (22/t)/(3/9)?
66
Let l = -1145263/494054 + -2/22457. Let i = -10281 + 205667/20. Calculate the common denominator of l and i.
220
Suppose -21 = -d + 2*r - 10, 2*d - r = 22. Let f = 2 + 3. Suppose -6 = -u + f. What is the lowest common multiple of u and d?
11
Let u(z) = 13*z**2 - z + 1. Calculate the smallest common multiple of 25 and u(-2).
275
Suppose -2*d + 256 = 68. Suppose a - 31 = -4*t + t, -2*t = 4*a - d. What is the least common multiple of a and 20?
220
Calculate the common denominator of (-1)/((-12)/(-249)) + 4 and 115/6.
12
Find the common denominator of -44/3 and 2/2 + (-142)/(-24).
12
Let l = 5454 - 1973. Let m = l + -17343/5. Find the common denominator of m and (0 - 0) + (-1 - (-35)/42).
30
Let q = 5/401 - -18762/6817. Calculate the common denominator of 2/7 and q.
119
Let o = 8 + -4. Let s(d) = 154*d**2 + 3*d + 5. Let l be s(o). Let v = 14813/6 - l. Find the common denominator of 115/6 and v.
6
Let r = 1 - -3. What is the smallest common multiple of r and 14?
28
Let a = 549185/716 + -1934/537. Let z = -2330/3 + a. Calculate the common denominator of 1 + 1 + 94/(-40) and z.
20
Suppose 0 = -4*a + 27 - 7. What is the smallest common multiple of a and 40?
40
Let s = -1003 - 770. Let a = s - -12388/7. Let g = -146731/10 - -14661. Find the common denominator of a and g.
70
Suppose -2*r + w + 10 = r, 0 = -4*w - 16. Suppose -4*v + 12 = -r*i, 2 = 5*i - 3*v - 3. What is the least common multiple of (2/5)/(((-36)/15)/(-6)) and i?
4
Suppose -6*o + 45 + 3 = 0. Suppose 12 = 6*l - 4*l. What is the least common multiple of l and o?
24
Let g = 0 - -6. Calculate the common denominator of -47/6 and (g/(-5))/(42/(-30)).
42
Let p = -2341/126 + 89/63. Find the common denominator of 1030/(-44)*(-4)/20 and p.
66
Let f = 108 + -104. Calculate the lowest common multiple of f and 45.
180
Let i = 536/329 - -4/47. Calculate the common denominator of -121/24 and i.
168
Let c be 22214829/(-1386) - 4/6. Let q = c - -16025. Find the common denominator of -81/2 and q.
22
Let g = -6 - -11. Let y(r) = r**2 - 4*r + 2. Let x be y(4). Suppose 3*f + 2*f - 17 = -4*t, -x*f = 6. What is the least common multiple of t and g?
40
Suppose 0 = -2*r + 3*r - 8. What is the least common multiple of 5 and r?
40
Suppose 2*t + 9 = 5*z, -4*z = 3*t + 2*t + 39. Let q be t/(1043/2)*-38. Let n = 4887/2980 + q. Find the common denominator of n and -95/6.
60
What is the lowest common multiple of 13 + -2 + -5 + 6 and 14?
84
What is the common denominator of 29/4 and (12/8)/3*-81?
4
Suppose 4*t - 35 = -t. What is the lowest common multiple of ((-60)/(-14))/5*t and 11?
66
Let b(d) = 30*d + 3. Let f be b(3). Let o = f + -654/7. Let l = o + 27/14. Find the common denominator of l and 46/7.
14
Let f = -708 - -4399/6. Find the common denominator of f and 93/10.
30
Let r = 2/2361 + 19149/1574. Find the common denominator of r and 55/6.
6
Suppose 28 + 53 = 3*w. Let u = w + -11. What is the least common multiple of 12 and u?
48
Let z = 2 - 0. Find the common denominator of -28 and 91/10 - (-4 + z).
10
Let d be 0 - (-50 - (2 - -2)). Suppose 7*n - 4*n - d = 0. Calculate the lowest common multiple of n and (-2)/(-1)*2/2.
18
Calculate the lowest common multiple of 7 and 12 + (-3 - -2) + -2.
63
Let k = 1 - -7. What is the least common multiple of 9 and k?
72
Suppose 17 = 5*v - 2*g, -2*v + g + 6 = -0*g. Suppose -3*u = v*y - 22, u - 3*y + y = 0. What is the lowest common multiple of (-6)/(-1 + u) + 12 and 16?
80
Let i(o) = -5*o + 1 + 0 + 3 - 3. What is the least common multiple of 4 and i(-3)?
16
What is the smallest common multiple of 3 and 2 - ((-1 - 23) + -3)?
87
Let z(c) = 5*c**2 + 2*c - 2. Let n be z(-2). Calculate the lowest common multiple of 7 and 4/n + (-198)/(-42).
35
Let l be 4*(-5)/((-30)/9). What is the smallest common multiple of (108/8)/(l/8) and 10?
90
Let p be (-159)/(-8) - (-10)/(-5). Let d = 204533 - 11454489/56. Let r = p + d. Find the common denominator of -53/9 and r.
63
Let c = -1247 + 22415/18. Calculate the common denominator of c and -1 + 8/6 + 2002/(-84).
18
Let w = 265159/39074 - 1/2791. Let k(i) = -i**3 + 5*i**2 + i - 1. Let g be k(6). Find the common denominator of w and g/(-110) - 2/(-5).
154
Let k(b) = b**2 + b + 18. Suppose -3*s - 3*l + 15 = 0, 2*s + 2*l - 3*l = -5. What is the smallest common multiple of 22 and k(s)?
198
Let h = 2/43 - 395/172. Calculate the common denominator of h and -113/10.
20
Let p = -33905/6489 - -2/721. Find 