 h be s(-12). Let f = h - 15. What is the least common multiple of (f + (-44)/16)*-24 and 20?
180
Let k be 18 + (10/(-5) - -1). Suppose w - 7 = k. What is the least common multiple of 39 and w?
312
Let f be (-72337)/30 + (-6)/(-45). Let n = -2400 - f. Find the common denominator of n and 43/27.
270
Let x = 145 - 97. What is the lowest common multiple of x and 3?
48
What is the common denominator of 152/(-78)*(-3)/2 and -99*3/(-6*1)?
26
Let p = -945 - -1233. What is the least common multiple of p and 144?
288
Let j = 13 - 7. Suppose -3*u + 6*u = 19*u - 576. Calculate the least common multiple of u and j.
36
Let b(q) = q**3 - 7*q**2 + 2*q + 4. Let u be b(7). Let m = u - 12. Calculate the least common multiple of m and 12.
12
Let j(x) = -3*x**3 + 4*x**2 - 12*x + 4. Calculate the lowest common multiple of 4 and j(-4).
308
Let i(b) = -2*b**3. Let y(h) = -14*h**2 - 3*h - 2. Let p be y(-2). Let g = 59 + p. What is the lowest common multiple of g and i(-1)?
14
Find the common denominator of ((-21)/(-49) + 529/(-42))*-2 and 133/120.
120
Let h(x) = 5*x**2 + 2*x + 8. What is the smallest common multiple of h(-2) and 4?
24
Let w be ((-1)/(-2))/((-166111)/44). Let t = w - -860789/241616. Calculate the common denominator of -95/12 and t.
48
Let i(l) = -l**2 - 2*l. Let o be i(14). Let d be 8/8074*(-1006872)/o. Let g = -2/2569 - d. Calculate the common denominator of g and 29/4.
44
Let o = -573/664 + -1/83. Find the common denominator of o and ((-29)/2*-2)/84.
168
Calculate the common denominator of (-3 - (-3682)/1236)*(-27)/12 and -91/18.
7416
Let b(z) = -z - 32. Let s be 2/(-6) - 8/(-24). Let i be b(s). What is the common denominator of 43/22 and (-54)/i - (3 - 3)?
176
Let s = 1 - 3. Calculate the smallest common multiple of 8 and (8/16)/((-1)/s) - -10.
88
Let l(w) = 2*w**2 - 9*w - 4. Let k be l(8). Let i = -34 + k. What is the smallest common multiple of i and 21?
126
Let j(a) = -a**3 - 4*a**2 + 4*a. Let d be j(-5). Let x be (14 - d)*4/6. Suppose 3*m = 24 - x. What is the least common multiple of 13 and m?
78
Let k = 3/49 + -269/392. Let x be -4 + 4/((-96)/(-45)). Let i = k - x. Find the common denominator of -13/8 and i.
8
Calculate the common denominator of 67/352 and 1/(-12)*(-14 - 540/(-64)).
2112
What is the common denominator of (-6)/(-20)*(-5451)/828 and 73/10?
40
Let s = -6193/236 - -88/59. What is the common denominator of s and 59/200?
200
Let z = -469 + 523. What is the lowest common multiple of z and 117?
702
Suppose -8*p + 3 = -21. What is the common denominator of 17*(p + (-44)/16) and -54/13?
52
Let i = -1259757951 - -1651542411593/1311. Let s = 3810/19 + i. What is the common denominator of s and 7/30?
690
Suppose 0 = -q - 9*g + 4*g + 31, 5*g - 13 = 2*q. What is the smallest common multiple of q and 21?
42
Let c = -1/56 - 199/224. What is the common denominator of c and -41/36?
288
Calculate the common denominator of 27/2 and (-68)/20 - (5 + -5)/4.
10
Suppose -42 = -3*i + 36. Let m = 28 - i. Calculate the lowest common multiple of m and 42/9 - 1/(-3).
10
Let z = -3637450462229/148038220 - 134/3364505. Let l = z + 24573. Let h = l + -3379/396. Find the common denominator of h and 24.
9
Let a = 604 - 5479/9. What is the common denominator of -1/3 and a?
9
Let x = -93644514032/783 + 119597044. Let k = 1/1566 + x. What is the common denominator of k and -107/12?
12
Suppose u = -3 + 51. Let g = -2413 + 2423. What is the smallest common multiple of g and u?
240
Find the common denominator of (-2840)/560 + (7 + 1 - 2) and 9/62.
434
Let s be ((-60)/(-66))/5 - 2/11. Suppose s = -2*b + 6*b - k - 26, -2*b + k + 14 = 0. What is the smallest common multiple of b and 18?
18
Find the common denominator of 12/9*236/(-192) and -29/54.
108
Suppose -3*i = -i - 18. Suppose 0 = -4*n + 13*n - 135. What is the least common multiple of n and i?
45
Let m(t) = 48*t + 4. Let j be m(-9). Let w = j + 1252/3. Let c = 40/3 + w. Calculate the common denominator of c and -14/5.
15
Let z = 106858 + -8548519/80. What is the common denominator of 103/470 and z?
3760
Let q(t) = -t**2 - 4*t - 3. Let m be q(5). Let z = 55 + m. What is the smallest common multiple of 14 and z?
14
Suppose -6*k + 5*k = 3*w - 1145, 4*w + 3*k = 1525. Calculate the least common multiple of 10 and w.
1910
Let u be -4 + (1 - 0) - -3. Let g be 2/4*(u + 6). Suppose 2*r - g*r - 3 = 5*s, -4*r = -s - 9. Calculate the smallest common multiple of r and 2.
2
Suppose t + 0*q - 805 = 2*q, 2*t - q - 1622 = 0. Let i = -2362 + t. Let w = i - -20099/13. What is the common denominator of w and -95/6?
78
Let v = -14 + 14. Suppose -4*o = 4*x - 16, 4*o + x + v*x - 10 = 0. Suppose 0 = d - 5*t + 21, o*d + 3 - 1 = 2*t. Calculate the least common multiple of 2 and d.
4
Let o(z) = z**2 + 5*z. Let v be o(-5). Calculate the common denominator of -49/6 and v + 3 + 183/(-15).
30
Let o = -32 - -28. What is the common denominator of 1030/225 - o/18 and 5/7?
35
Let j(k) = k**3 + 9*k**2 + k - 8. Let z be j(-9). Let g = z - -31. Calculate the least common multiple of g and 64.
448
Find the common denominator of -71/636 and 1833/(-1638)*(3 - (4 - -2)).
4452
Suppose 0 = -2*o + 6*o + 92. Let q = o - -59. Let a = 25 - 11. Calculate the smallest common multiple of q and a.
252
Let m = 17144666221 + -614996322060166/35871. Let y = m - 2/1087. Calculate the common denominator of y and 103/6.
66
Let f(r) = -2*r**3 - 2*r**2 - r - 2. Suppose -4*l - p + 97 = 0, p - 8 = 2*l - 61. Let z = l + -7. What is the smallest common multiple of f(-2) and z?
72
Calculate the common denominator of 7618/(-2600) - (-1*9)/3 and 91/80.
400
Suppose -5*s = 2*u - 442, 4*s - 354 = -4*u + 2*u. Calculate the least common multiple of 2 and s.
88
What is the smallest common multiple of 176 and 1/3 - (-15703)/123?
1408
Suppose -4*q + 9 = -7*q. What is the least common multiple of 6 and 18*(q - (-33)/9)?
12
Let n = -112 + 117. Suppose 4*s = 5*u - 7 - 3, 0 = 5*u + 3*s - 45. Calculate the lowest common multiple of u and 23 - n - (-5 + 1).
66
Let p = -65507/10 + 6557. Calculate the common denominator of 1/20 and p.
20
Suppose 0 = 5*v + z + 7895, -5*z + z = -20. Let p = -3233/2 - v. What is the common denominator of p and 51/38?
38
Suppose 4*n - 14 = 3*n + 3*m, 3*m = 3*n - 48. Let o be (-4 - (-27)/6) + 3/(-2). Let t(k) = -8*k - 7. Calculate the lowest common multiple of t(o) and n.
17
Let n = 773/108 - 398/27. Find the common denominator of -87/256 and n.
768
Let w(f) = 4*f**3 + 16*f**2 + 22*f + 14. Let p(s) = 3*s**3 + 11*s**2 + 15*s + 9. Let m(c) = 7*p(c) - 5*w(c). What is the lowest common multiple of m(5) and 16?
144
Suppose -n + 4*s - 19 = 0, -4*n - 2*s - 8 = -4. Let a(h) = -13*h. Calculate the least common multiple of 6 and a(n).
78
Suppose 114 = 12*c - 30. Calculate the smallest common multiple of c and 88.
264
Suppose 78 = -15*z + 243. Suppose 7*r - 4*r = 87. What is the lowest common multiple of r and z?
319
Let o = 22 - 6. Suppose 0 = 5*s - 411 + 271. Calculate the lowest common multiple of o and s.
112
Suppose 1005 = -5*s + n, 20 = 2*n + 2*n. What is the common denominator of 1/32 and 3*6/45 - 1195/s?
32
Let d(g) = -g. Let i(l) = l - 16. Let k(p) = -2*d(p) + i(p). Suppose -42 = -2*t - y, -t = -3*y - 8 - 6. Calculate the lowest common multiple of t and k(8).
40
Let o be 3/(-5) + 13/5. Suppose 4*r = o*b - 242, -4*r + 5*r - 363 = -3*b. Suppose -b = -4*n - 41. What is the least common multiple of 6 and n?
60
Let q = 32 - 21. Calculate the smallest common multiple of 2/6*(99 - 36) and q.
231
Let i = 196 - 4307/22. Let m = -21985 - -64253/3. Let r = 37585/66 + m. What is the common denominator of i and r?
22
Let n = 221438857/21224 + -73034/7. Let y = 19653787/33352 + n. Let j = y + -586. What is the common denominator of j and 38?
11
Let a(w) be the first derivative of -w**4/4 - 5*w**3/3 + w**2 - 12*w + 4. Suppose i - 6*i = -55. What is the smallest common multiple of a(-6) and i?
132
Let c = -2233/3 + 22561/30. Let h = 513/44 - 9/22. What is the common denominator of h and c?
20
Let r = -94 - -105. Suppose -r*z = z - 132. What is the lowest common multiple of z and 4?
44
Let f(x) = 172*x - 1. Let q be f(-1). Let k = q - -909/5. Let c = 65/8 - -27/40. Find the common denominator of k and c.
5
Find the common denominator of 2931/(-810) + 13/((-91)/(-28)) and 19/2.
27