lculate the least common multiple of u and z.
96
Suppose 6*j - 270 = -102. What is the common denominator of ((-2)/6)/((-390)/(-684)) and j?
65
Suppose 0*d + 70 = -5*d. Let o = 92 - 66. Let g = d + o. Calculate the least common multiple of 2 and g.
12
Suppose 15*d + 5 = 10*d. What is the least common multiple of 17 and (2/3)/(20/18 + d)?
102
Let d = -1938 + 2178. What is the least common multiple of 240 and d?
240
Suppose 2*d - 130 = -4*y + d, 70 = 2*y + 3*d. Let c = 21072 - 463483/22. What is the common denominator of 174/32 + 24/y and c?
176
Let x = -134 - -160. What is the lowest common multiple of 14 and x?
182
Let p = -1386628/57 + 24326. Calculate the common denominator of -31/8 and p.
456
Suppose 0*a - a - s = 27, 4*a = -s - 93. Let u = 26 + a. Suppose -3*y + 19 = -k, -40 + 5 = -5*y + k. What is the smallest common multiple of y and u?
8
Let b(g) = -g**3 - 5*g**2 + 6*g + 4. Let a(q) = -2*q**2 - 117*q + 782. What is the lowest common multiple of a(6) and b(-6)?
8
Let p = -44 + 37. What is the common denominator of 71/78 and 10/2 - 2 - 27/p?
546
Let a = -1229 - -1256. Calculate the lowest common multiple of 21 and a.
189
Calculate the lowest common multiple of (-9)/(-12*(-6)/(-48)) and (10/(-3))/(4/(-18)).
30
Let g be 5*(-6)/(-15)*-1. What is the smallest common multiple of 8 and -5 - g*50/4?
40
Let i be ((-170284)/(-126))/((-57632)/66). Let d = i + 1/14408. What is the common denominator of 53/(-42) + (-1)/(-3) and d?
42
Let r be 8/8166*2043 + (-4 - -2). Let z = -189191/8166 + r. Calculate the common denominator of -131/24 and z.
24
Let b be 2 - 2*(-10)/(-4). Let l(m) = -m**3 - 3*m**2 + 4. Let v(g) = g**3 - 48*g**2 + 46*g + 59. What is the smallest common multiple of v(47) and l(b)?
12
What is the common denominator of -25/28 and (-1)/(-4) - (-2)/(-140)?
140
Suppose 0 = 3*k - 0 - 63. Suppose k*p - 17*p - 4 = 0. Calculate the common denominator of -107/10 and 4 - (p + 444/40).
10
Let g = 18 + 12. Let p = -22 + g. Calculate the lowest common multiple of p and 6.
24
Let t = -1029231/286 + -8381/143. Let r = 3662 + t. What is the common denominator of r and (-2)/(-9) + 3604/792?
22
Suppose -4*n = -2*p + 6*p + 104, -12 = -4*n. Let u = 21 - 123/7. Let z = u - 250/77. Calculate the common denominator of z and p.
11
Calculate the common denominator of 8335/1170 + -6*(-3)/117 and 91/60.
180
Let j(r) = -2*r**2 - 16*r - 7. Let h = 94 + -90. What is the least common multiple of h and j(-7)?
28
Let i be (15/(-5))/((-3)/10). What is the common denominator of 117/12*i/(-9) and 55/36?
36
Let w(n) = -4*n - 14. Let v(s) = 5*s + 14. Let k(y) = 3*v(y) + 4*w(y). Let d be k(-5). Calculate the common denominator of 111/10 and (-1816)/(-720) + 2/d.
10
Let h = 2336 + -2232. Calculate the lowest common multiple of h and 455.
3640
Let g = 27795392761/1659520716 - -724/229089. Let y = g - 4/1811. Find the common denominator of y and -107/10.
20
Let q(d) = -6 + 8*d - d**2 + 4 - 1. Let c be q(5). Suppose c = 5*y - 28. Calculate the lowest common multiple of 8 and y.
8
Let s(m) = -m**3 - 11*m**2 - 6*m - 36. Calculate the least common multiple of s(-11) and 33.
330
Suppose 3*g - k + 5*k = 11, 4*g - 44 = 2*k. Suppose 6*d - 27 - 21 = 0. What is the smallest common multiple of d and g?
72
Suppose -3 = b, 3*w - 3*b = -47 - 61. Let s = w - -45. What is the least common multiple of s and 32?
96
Let u = -331 - -343. Calculate the lowest common multiple of u and 58.
348
Suppose 5*v - 41 = 5*y + 229, 2*v = -5*y + 122. Let q(w) = 55*w**2 + 38*w - 11. What is the least common multiple of v and q(-1)?
168
Let t(k) = 21*k + 6. Let l be t(-6). Find the common denominator of 69/4 and (4844/l)/7 + 2.
60
Let t = -19 + 30. Suppose -2*d + 11 = -t. Suppose 5*i = 8*i - 57. Calculate the smallest common multiple of d and i.
209
Suppose 38*v = 22*v + 192. Calculate the smallest common multiple of 150 and v.
300
Suppose 3*p - 9*p + 54 = 0. Calculate the smallest common multiple of p/(-4)*(-16)/6 and 24.
24
Let l be 7/(-14)*154671/15. Suppose -4*a - 26503 = -5851. Let u = l - a. What is the common denominator of u and -61/6?
30
Calculate the smallest common multiple of 6 and -1*(6 - 5)*(-56 - -2).
54
Let w = 230 - 194. What is the smallest common multiple of w and 354?
2124
Let r(a) = a**3 - 26*a**2 - 158*a + 103. Calculate the least common multiple of 60 and r(31).
60
Let s(w) = w**3 + w**2 - 6*w - 7. Let k be s(4). Let u = 8157/2 - 4004. Let g = k - u. Calculate the common denominator of -75/16 and g.
16
Let f(v) = -289*v**3 - v + 5. Let i be f(2). Let c = 13925/6 + i. What is the common denominator of c and 101/6?
6
Let s(k) = -k**2 - 31*k + 54. Calculate the least common multiple of s(-32) and 8.
88
Suppose j + 0*j = -122. What is the common denominator of 10/12*86/30 and 1/8 + j/16?
18
Let q(c) = 2*c**2 + 11*c - 15. What is the smallest common multiple of q(-7) and 54?
54
Let r = 1157/2 + -777. Let i be 6 + (-9 - -3) - 231. Let a = r - i. What is the common denominator of a and -37/6?
6
Let g = 43 - 40. Suppose -5*p + 29 = g*k, 2*k = -p - 2*p + 17. Calculate the least common multiple of p and 7.
7
Let y = 2/11657 + 990781/373024. Calculate the common denominator of y and ((-1)/(-6))/(4/(-118)).
96
Let d = 622/7 - 13929/154. Calculate the common denominator of d and -7/88.
88
Let q be -4 - 4/(4/(-49)). Suppose 87*j = 92*j - q. Calculate the lowest common multiple of 2 and j.
18
Let q = -172 + 178. Suppose 5*t + 17 = -4*h - 40, -5*h - t = 45. Let c(y) = y**2 + 6*y - 6. Calculate the smallest common multiple of c(h) and q.
30
Let a = -166111157 + 1183043547383/7122. Let d = 1/1187 + a. Find the common denominator of d and -2 + 2 + 249/(-30).
30
Calculate the common denominator of (3/4)/(72/(-3984)) and -6/11.
22
Suppose -825 = -39*v + 14*v. Calculate the lowest common multiple of v and 24.
264
Calculate the smallest common multiple of (10/3)/(6/18) and 30.
30
Let u = -163 + 103. Let w = 66 + u. What is the least common multiple of w and 13?
78
Suppose 0 = 4*j - 4*h - 1148 - 136, 325 = j + 3*h. What is the least common multiple of j and 230?
1610
Suppose -50 + 14 = -9*z. Suppose z*f - a = 82, -66 - 10 = -4*f - 2*a. What is the least common multiple of f and 7?
140
Let h be (6/9)/(9822/(-9)). Let d = h + 18031/39288. Calculate the common denominator of -1/18 and d.
72
Suppose 7*c - 4 = 3*c. Let u be (7/(-2) + c)*-2. Suppose -5*a = 3*w - 104, 5*w = -a + 17 - u. What is the least common multiple of a and 16?
176
Let r = 3962/27 - 78259/540. What is the common denominator of r and 85/48?
240
Let v be (186/18)/((304/43554)/(-4)). Suppose -3*f + 12 = 0, 5*g + 3*f = 4*f - 29619. Let y = g - v. What is the common denominator of y and 13/16?
304
Suppose -2*g = 4*h - 208, -3*h + 129 - 21 = g. What is the smallest common multiple of 4 and g?
96
What is the common denominator of (-496)/310 - (-331)/185 and 12/7?
259
Let z = 743/329 - -8/47. Find the common denominator of 156/117 - -143*1/30 and z.
70
Suppose -x + 132 = 11*x. Let d = 3 - 0. Suppose -r + 8 = 4*u - 0, 2*u + d*r - 14 = 0. What is the lowest common multiple of x and u?
11
Suppose -c - c + 40 = -3*x, 0 = -2*c - 3*x + 40. What is the least common multiple of 28 and c?
140
Suppose 4*c = -3*s + 152, -7*s = -3*c - 5*s + 97. Let o = -84 - -107. Let l = c - o. Calculate the lowest common multiple of l and 10.
60
Suppose -13*n + 460 = -164. Calculate the least common multiple of 78 and n.
624
Let a = -42659 + 2090381/49. Let o = -1861/294 - a. What is the common denominator of o and 119/10?
30
Let o = -49337/29232 + 1/3654. Calculate the common denominator of o and -71/38.
304
Let l(h) = h**3 + 4*h**2 + 2*h + 1. Let i be l(-3). What is the common denominator of 234/(-20) - i/8 and ((-10)/(-120))/((-4)/138)?
40
What is the lowest common multiple of (23 - 18) + 1*-2 and 1*28*6/24?
21
Let p = -57 + 85. Suppose -p = -8*n + 6*n. What is the lowest common multiple of n and 20?
140
Let j = 1 - -4. Suppose -33 = 2*u - j*u. Calculate the least common multiple of u and 12.
132
Let d(k) = -k**3 - 8*k**2 - 5*k - 9. Let p be d(-8). Let s = 51 - p. Let q(v) = v**2 + 5*v + 2. What is the smallest common multiple of s and q(-6)?
40
Let a = -41563/12 + 3471. Let i be 1 - 3/(-192)*-91. Let d = 621/64 - i. Calculate the common denominator of d and a.
24
Let v = 1 