 -447/17. Calculate the common denominator of 47/22 and m.
66
Calculate the common denominator of 652/70 - -6*(-11)/(-231) and -46/95.
95
Let z(h) = 13*h**2 - 4*h + 2. Let u be z(2). Let n be (14 - 18)*u/8. Let k = -10 - n. Calculate the lowest common multiple of 4 and k.
52
Suppose 0 = -r - 4*a - 2, a - 5*a - 10 = -3*r. What is the common denominator of -37/8 and (2*97/(-52))/(0 + r)?
104
Let f(y) = y**2 - y + 3. Let r be f(3). Suppose -4*m - r - 7 = 0. Find the common denominator of (m/(-8))/(33/12) and -62/9.
99
Let f = 16 + -12. Let u be -5 + (-8)/f*1. Let d = u + 12. Calculate the least common multiple of d and 11.
55
Let q be (-44)/(-4)*4/4. Suppose 0*r - 3*g = -r + 7, -q = -3*r - g. Calculate the lowest common multiple of 2 and r.
4
Suppose -o + 24 = -4*b + 163, 154 = 4*b + 2*o. Calculate the smallest common multiple of b and 60.
180
Find the common denominator of -77/82 and (1/2)/((-143)/48 - -3).
82
Suppose 12 = h + 3*m, 8 + 18 = 3*h + 4*m. Let i(x) = 7*x**2 + 8*x - 22. Calculate the smallest common multiple of h and i(2).
66
Suppose -4*y + 6*y + 2091 = 5*r, 2*y = 2*r - 2088. What is the common denominator of -4/27 and (1/(-8))/(63/y)?
216
Suppose 3*d + 426 = 5*o, 3*o + 2*d - 242 = -3*d. Calculate the lowest common multiple of 18 and o.
252
Let u be (-35758)/(-570)*((-18)/(-8))/(-3). Let j = -393/10 - u. What is the common denominator of 109/12 and j?
12
Suppose 0 = 16*s - 88 - 296. What is the smallest common multiple of s and 16?
48
Let o(n) = n**3 - 4*n**2 - 6*n + 4. Let r be o(6). What is the common denominator of (45/r)/((-3)/14) and -18/23?
92
Let j = 49287277/10 + -4924210. Let b = j + -4524. Find the common denominator of -46/15 and b.
30
Let r = -637519 - -4453047/7. Let w = r - -19079/14. Let x = 35341/2964 + -84/247. What is the common denominator of x and w?
84
Let w(j) = j**2 + 3*j - 42. Calculate the smallest common multiple of 9 and w(16).
2358
Suppose -1061*m = -1064*m + 432. Calculate the least common multiple of 54 and m.
432
Suppose -2*v - 6 = 0, -4*v - 3 - 6 = b. Let a = b + 5. What is the lowest common multiple of a and 14?
56
Let a = -43/7 - -2063/35. Let b be 2 - (2 - 3993/60). Let r = b - a. Calculate the common denominator of 35/2 and r.
4
Let s be ((-2)/(-11) - (-368)/(-88))/(-2). Suppose 16 = -2*c - s*c, 3*v = 5*c + 245. What is the least common multiple of 33 and v?
825
Let j = 236 + -196. What is the lowest common multiple of 11 and j?
440
Let p = -15 - -17. Let l be 2 + -2 + 22 + -1. Suppose -3 = -p*h + l. What is the lowest common multiple of 12 and h?
12
Suppose 0 = -3*h - 4*p - 13610 - 3486, 11384 = -2*h + 4*p. Let x = h + 62614/11. Calculate the common denominator of x and 18/5.
55
Let n = -984 + 1191. What is the smallest common multiple of n and 27?
621
What is the common denominator of -56/9 and 940/144 - 22/(-88)?
9
Suppose 2*r = -4*t + 6296, -6290 = -2*r - 4*t + 3*t. What is the smallest common multiple of r and 2?
3144
Let n be (2*1/58)/(2/162). Let v = n - 1541/261. Calculate the common denominator of v and -107/30.
90
Suppose 0 = -2*m + 3*m - 3*t + 11, t = 3*m + 1. Calculate the common denominator of -35/8 and 304/(-153) + (-14)/18 + m.
136
Let q(g) = -21*g**3 + g**2 + 3*g - 3. Let u be q(2). Calculate the common denominator of 47/10 and 1/(-6)*4 + u/(-12).
20
Let s = 26/3 - 107/12. Let z = 159 - 83. Calculate the common denominator of s and (10/(-4))/(8/z).
4
Let d = 242489577339/56517804035 + 2/38631445. Let u = -1/209 + d. Calculate the common denominator of -85/2 and u.
14
Let a(h) = 0*h + 18*h**2 + 14 + h**3 - 11*h**2 - h - 11*h**2. What is the least common multiple of 18 and a(4)?
90
Let l = -5/1926 + 689992/963. Let h = l - 670. What is the common denominator of h and 40/9?
18
Suppose 2*t + g - 13 = -0, 4*t = 2*g + 22. Calculate the common denominator of t/(-44)*(-1236)/(-36) and 67/2.
22
Suppose 8*d + 12 = 10*d. Let x = -10 + d. What is the smallest common multiple of 18 and -1 - 6/(x - -2)?
18
Let i = 1544/3 - 24751/48. Calculate the common denominator of i and -59/72.
144
Let v be -3*1*-1*(-1 + 2). Suppose 60 - 102 = -v*g. Let h = 4 + -2. What is the lowest common multiple of g and h?
14
Suppose 5*b - 7 - 3 = 0. What is the lowest common multiple of b/(-2)*1 - (-1 + -1) and 5?
5
Suppose -3*q + 0 + 3 = 0, 0 = 3*k + q + 372689. Let g = -1247777/10 - k. Let v = g - -546. Calculate the common denominator of -53/8 and v.
40
Find the common denominator of 19/60 and 34/(-85) + (-19)/90 + 2.
180
Let b = -12 + 19. Let g be -21 - (3 + -2 + 2). Let o = g + 26. Calculate the lowest common multiple of b and o.
14
Suppose 8*g + 2*k - 216 = 3*g, 4*g + 3*k = 170. Suppose g + 81 = -5*s + 4*c, -36 = s - 3*c. What is the common denominator of 7/s - (-235)/(-24) and 53/22?
88
Suppose m + 1 = 0, f - m = -2*f + 13. Suppose 2*v - 82 = -5*n + 8, -f*v = -5*n + 120. What is the least common multiple of 2/15*-3*-5 and n?
20
Let s = 353 + -346. Calculate the least common multiple of s and 90.
630
What is the common denominator of (-87)/(-18) + (-105)/(-63) and -125/12?
12
Let o(i) = 2*i - 3. Let t(y) = -3*y + 4. Let q(c) = 4*o(c) + 3*t(c). Let m be q(6). Find the common denominator of 6 and 356/(-96) - 2/m.
8
Let x = -3 - -4. Let h be (1 - -1)/((-2)/(-24)). Suppose -10*n + 14*n - h = 0. What is the smallest common multiple of x and n?
6
Find the common denominator of -11/38 and -5 + 9 - 17/(-20).
380
Let h = -10765 + 172171/16. Calculate the common denominator of h and -14/47.
752
Suppose -10 = -r + 4*a - a, 5*r + 4*a - 12 = 0. Suppose 3*d - 4*z + 23 = 65, 3*z = 3*d - 42. Let o = -10 + d. What is the lowest common multiple of r and o?
4
Suppose -153 = -12*h + 135. Let j(v) = v**3 + 9*v**2 + 6*v - 1. Let b be j(-8). Let a = b + 7. Calculate the smallest common multiple of h and a.
264
Suppose -5*w + 20 = 0, 2*i - w + 5*w = 36. Suppose y + 7 = 86. Suppose 3*c = -5*d + y, 5*d - 3*d - 37 = -3*c. What is the lowest common multiple of i and d?
70
Let o = -1486 - -4385/3. Find the common denominator of 149/24 and o.
24
Calculate the common denominator of 37/5 and (86/(-37))/(0 - 1 - 3).
370
Let p = 2333/264 + -77/8. What is the common denominator of p and 37/57?
627
Let p = 2288 - 54931/24. Suppose 5*x = -o + 10, 19 = 4*x - 6*x - 5*o. Calculate the common denominator of ((-66)/88)/((-4)/(188/x)) and p.
24
Let d = 84 - 281/3. Calculate the common denominator of ((-14)/(-4))/7 + (-969)/(-408) and d.
24
Suppose 30 = -z - 2*z. Let w be 28386/(-105) - 2/z. Let c = 278 + w. What is the common denominator of 37/10 and c?
70
Let i(x) = 20*x**2 + 85*x + 9. Calculate the lowest common multiple of i(-5) and 420.
420
Let g(r) = -2*r**3 + 9*r**2 - 3*r + 26. Let l be g(7). Let w = l - -987/4. Find the common denominator of w and -59/98.
196
Let i(m) = 5*m**2 - 8*m - 3. Let h(a) = 2*a**2 - 4*a - 1. Let f(k) = 7*h(k) - 3*i(k). Find the common denominator of f(3) and -87/32.
32
Let g = -248 - -257. What is the least common multiple of g and 18?
18
Let r be -3 + 1 + (4 - 7). Let c = 15 + r. Suppose 4*d + 24 = 4*j, -45*j + 2 = -44*j - 2*d. What is the smallest common multiple of j and c?
10
Let d be ((-2)/(-6))/(1/(-3)). Let z(r) = -7*r + 1. What is the lowest common multiple of z(d) and -3*3/(6/(-2))?
24
Suppose 11*x - 35*x + 792 = 0. Find the common denominator of x and 28/101.
101
Let w = -4194/13 - -323. Calculate the common denominator of w and 17/78.
78
What is the lowest common multiple of (-348)/14*(-420)/45 and 56?
1624
Suppose 7*h = 2069 + 2201. What is the smallest common multiple of h and 183?
1830
Calculate the common denominator of (-10217)/(-1530) - (-2)/9 and (-6)/16*164/(-6).
20
Find the common denominator of 25/4 and 33/24 + 12 + -8.
8
Suppose 4*s - 6 = -5*f + 37, -5*s + 63 = -3*f. Suppose 5*q + 270 = 14*q. What is the lowest common multiple of s and q?
60
Suppose -104 = -33*v + 29*v. Calculate the smallest common multiple of 16 and v.
208
Let r(t) = 2*t**2 + 4*t + 4. Let a be r(-2). Suppose -2*g + 239 = -c, 0*g - a*g - 5*c + 471 = 0. What is the common denominator of 47/14 and (g/36)/(3/9)?
84
Suppose -71*n + 36 = -68*n. What is the smallest common multiple of 27 and n?
108
Suppose -d - 21*h = -16*h - 59, 5*d = h + 269. Calculate the lowest common multiple of 36 and d.
108
Let q = -8 - -6. Calculate the common de