*2 - 3*z - 24. Calculate the lowest common multiple of x(-32) and 18.
72
Let k = 85 - 61. What is the lowest common multiple of k and 18?
72
Suppose 2*v + 6 = 0, 0*u + 15 = -2*u - v. Let z be u/7*(-42)/9. Suppose z*x - 7*x = -6. What is the lowest common multiple of 12 and x?
12
Suppose 0 = -25*n + 22*n + 2*d + 813, -534 = -2*n + 4*d. Calculate the least common multiple of 21 and n.
273
Let k(u) = u**2 - 10*u + 20. What is the smallest common multiple of 215 and k(9)?
2365
Let j = 31322/4041 + 12/449. Calculate the common denominator of 47/3 and j.
9
Let a = 1677781 - 10110635/6. Let c = -7343 - a. Let f = -34153/22 + 1552. Find the common denominator of f and c.
66
Let d be (-364)/63 + 6 + (-23497)/(-9). Calculate the common denominator of 103/18 and -2*(4/(-14) + d/1764).
18
Suppose 0 = 32*h - 23*h - 18. Let c = 8 - 4. Calculate the least common multiple of (2/(-3))/(c/(-66)) and h.
22
Let c be 3455/(-2055) + 25/15. Let v = -4529/548 - c. Calculate the common denominator of 51/11 and v.
44
Find the common denominator of (-24)/(-36) - (41/96 + -1) and 83/18.
288
Let r be -2 - ((-21)/3 + 2). Suppose -r*m - 9 - 12 = 0. Let x = m + 12. What is the smallest common multiple of x and 10?
10
Let w = -26 - -16. Let j(p) = -p**3 - 14*p**2 - 17*p - 12. Let i be j(-13). What is the common denominator of (-180)/w*(-26)/i and 101/16?
80
Let r = 9855/3052 - -49/109. What is the common denominator of r and -65/4?
28
Let x = 185 - 128. Let y = 73 - x. What is the lowest common multiple of y and 4?
16
Find the common denominator of 59/24 and (-310)/(-124) + 1026/(-376).
1128
Let k = -134 - -146. Suppose -3 - k = -5*n, 0 = -4*m - 2*n + 130. What is the smallest common multiple of 3 and m?
93
Let z(c) = 33*c + 6. Let u be z(2). Suppose -6*w = -0*w - u. Calculate the smallest common multiple of w and 20.
60
Let f = 581755/25572 - -2/6393. Let a be -3 + 9/6*14. What is the common denominator of f and 0 + -3 + (-105)/a?
12
Find the common denominator of -2/117 and 875/(-252)*4/10.
234
Calculate the least common multiple of 2*3*(-92)/24*-4 and 8.
184
Suppose -2*v = v + 36. What is the common denominator of ((-54)/64)/(3 + 54/v) and -43/8?
16
Suppose 10*w + 52 - 322 = 0. Let q = -19 + w. Calculate the smallest common multiple of 1 and q.
8
Find the common denominator of -5 + 12/30*(-5275)/(-280) and 47/236.
1652
Suppose 5*y + 5*i - 488 = 962, 0 = 4*y - 3*i - 1160. Calculate the smallest common multiple of y and 145.
290
Suppose 0 = -h - 4*h + 270. Calculate the common denominator of (-652)/(-120) - (3 - (-8)/(-3)) and (735/h)/(-7) - -1.
90
Let z be 1*(-334)/(-6)*93. Let n = z - 82903/16. Find the common denominator of n and -79/6.
48
Suppose -2*i = -5*v - 31, 3*i + 3*v - 10 = 47. Calculate the least common multiple of 66 and i.
198
Suppose -4*o = 5*a - 0*a - 334, a - 82 = 3*o. What is the smallest common multiple of a and 14?
70
Let v = -72 + 80. Calculate the lowest common multiple of v + 8 - 0/(-2) and 8.
16
What is the lowest common multiple of 22 and (3008/(-80))/((-4)/10)?
1034
Let h(v) = -v + 8. Suppose 5*p = 18*p - 104. What is the lowest common multiple of p and h(0)?
8
Let d(n) = n - 3. Let o be d(8). Suppose 3*w - w = -5*r + 82, 0 = 5*r + o*w - 70. Calculate the least common multiple of r and 62.
558
Let j = -32 + 34. Calculate the common denominator of 34/7 and (196/96)/(j/(-8)).
42
Suppose -8*b + o = -3*b - 232, 0 = 3*b - 4*o - 146. Calculate the common denominator of (1/18*b)/(-7 - -5) and 61/9.
18
Let f(l) = 9*l - 6. What is the least common multiple of 12 and f(2)?
12
Suppose 11*c = -c - 48. Find the common denominator of -5/22 and ((-535)/120 - c) + 1.
264
What is the common denominator of (-4)/(-10)*-1 - 18993/(-24570) and -53/15?
630
Let b be (-3)/4 - (-127)/(-76). Let r = b - 1447/38. Calculate the common denominator of r and 1 + (-1 - 53/(-4)).
4
Let s(r) = 11*r - 397. Calculate the smallest common multiple of 16 and s(39).
32
Let r(h) = -2*h**2 - 11*h - 12. Let o be r(7). Let l = o + 365/2. Find the common denominator of l and 2/9.
18
Let o(j) = j**2 + 11*j - 23. Let a be o(-13). Let y = a + 4. Calculate the lowest common multiple of y and 3.
21
Let y = 239488 - 10777442/45. Let t = y - -284/15. Calculate the common denominator of -83/15 and t.
45
Let m = 987759/324346 + 1/14743. Suppose 0 = -y - 0*y + 44. What is the common denominator of (y/8)/(18/(-10)) and m?
198
Suppose -6*r - 17 = -3*h - 4*r, 0 = 5*h - r - 26. Let m(p) = -4*p + 0*p + p. Calculate the smallest common multiple of m(-1) and h.
15
Let x(b) = 7*b - 9. Let o be x(12). Let w = -50699/70 - -3611/5. Calculate the common denominator of w and ((-12)/(-10))/((-132)/o).
154
Let v(i) = -2*i**3 - 18*i**2 + 9. Let j(c) = c**3 + 5*c**2 - 9. Let g be j(-5). Calculate the least common multiple of v(g) and 8.
72
Let z(t) = t**2 + 6*t - 11. Let q be z(2). Suppose 0 = i - 7 + 2, -5*a = -q*i - 15. What is the least common multiple of 5 and a?
40
Let o = -7 - -25. Let i = -30 + 42. Calculate the smallest common multiple of o and i.
36
Let f(r) = r**2 - 2*r + 3. Suppose 16 = -l + 18. Calculate the smallest common multiple of l and f(4).
22
Suppose 1 = -k + 4*m, -4 = 4*k + 7*m - 2*m. What is the common denominator of -57/10 and ((-225)/110 - k)/1?
110
Find the common denominator of -179/30 and (-129)/(-86)*(-2)/((-1998)/(-303)).
1110
Let t be 84/8*2388/7. Let c = 78785/22 - t. Calculate the common denominator of c and 15/8.
88
Let a = -58216 + 18861967/324. What is the common denominator of 47/396 and a?
3564
Suppose 4*d + 684 = 4*p - 0*p, -8 = -2*d. What is the smallest common multiple of p and 75?
525
Let q(x) = x**2 + 25*x + 48. Let p be q(-23). Suppose 5*w - p*u - 38 + 8 = 0, -7 = w - 3*u. Calculate the least common multiple of 33 and w.
264
Let j = 269 + -125. What is the lowest common multiple of 10 and j?
720
What is the common denominator of -149/240 and -4 - 13844/(-4320) - 2/(-16)?
2160
Let g(d) = 18*d**2 - 3*d. Let c be g(2). Find the common denominator of (-90)/20*(-2)/c and 145/12.
132
Suppose 389 = y + 362. What is the lowest common multiple of 39 and y?
351
Suppose -2*y = 5*m + 10, -m - 2*y + 5 = -3*y. Let x = 0 + m. Suppose x - 6 = -u. Calculate the smallest common multiple of u and 10.
30
Let n(z) = z**3 + z**2 - 2*z + 1. Let b be n(-2). Let s be (-32681)/10604*b*-6. Let v = 2/241 + s. What is the common denominator of v and 49/6?
6
Find the common denominator of (-19)/3*(2 + 17/(-10)) and -43/12.
60
Let o = -3/22675 + -8321482/1836675. Let y = 2/81 - o. Find the common denominator of y and 52/3.
9
Suppose -229 = -14*u - 117. Calculate the smallest common multiple of u and 44.
88
Let h = 3893/1620 + -1/324. Suppose -4*n + 15 = n. Find the common denominator of h and 26/n*(-36)/(-32).
20
Suppose -3*s - 7 = -10, 0 = -2*y - 3*s + 17. Calculate the lowest common multiple of y and 34.
238
Let r be 103/(-4) - 45/(-60). Let w = r + 241/6. Let l = 802/9 - 13381/144. Find the common denominator of l and w.
48
Let j(h) = 5*h**2 - 10*h - 16. Let f be j(-2). Calculate the common denominator of (-20)/4 + 15/f and 7/13.
104
Let s = -5 + 13. Let m be s/20*62004/(-2176). Let u = m + -3/1360. What is the common denominator of u and -9/7?
35
Suppose -2*t = -24*k + 27*k - 197, -2*k - t + 130 = 0. Calculate the lowest common multiple of k and 12.
252
Suppose 5*i = -3*t - 23 + 186, -i + 28 = -4*t. What is the common denominator of (178/24)/((-3)/9) and 198/i*(-6 - -8)?
8
Let v(n) = 16*n**3 - n**2 - n + 3. Calculate the smallest common multiple of v(0) and 23.
69
Suppose -4*c + 87 = 2*x + 23, -3*x = 5*c - 93. Calculate the least common multiple of x and 94.
1222
Let a(g) = 4*g + 4. Let s be 0 + -4 + 0 - 546/36. Let k = s + 989/66. What is the common denominator of k and a(-6)?
11
Let x = -69871/26 - -2691. What is the common denominator of (-42)/150*5/(-2) and x?
130
Suppose u + 6 - 7 = 0. Let v be u - (-3716)/(-64) - -3. Let k = -249/16 - v. What is the common denominator of k and 16/3?
6
Let p(f) = 2*f + 20. Let b be p(-5). Suppose 0 = 9*m - b*m + 148. What is the smallest common multiple of m and 22?
1628
Let d(w) = -w**3 - 2*w**2 - 2*w + 11. Suppose -2*v = v - 9. Suppose -v*r = -2*o + 12, 5*o - 11 = -5*r + 3*r. What is the smallest common multiple of d(0) and o?
33
What is the common denominato