Calculate the common denominator of 4/(-34) + (-3 - -3 - 13349/2856) and r.
120
Let o(z) = 5*z**2 + 12*z + 8. What is the least common multiple of o(-4) and 32?
160
Let w = -197/55 - 111/110. Let k = 4608 + -9699. Let i = k - -91679/18. Find the common denominator of w and i.
198
Let l(t) = -4*t**2 + 9 + t**3 - 5*t**2 + 18*t**2 + 4*t**2 - 14*t. Calculate the smallest common multiple of l(-14) and 3.
9
Suppose r + 1887 = -u, -5*r - 11382 + 1933 = -2*u. Let h = r - -20740/11. Calculate the common denominator of h and 131/12.
132
Let d be -15*(-2 - 8/(-5)). Calculate the common denominator of ((-7)/105)/(d/1905) and 119/10.
30
Suppose 0 = -3*z + 6*m - 5*m - 104, 103 = -3*z + 2*m. Let c = 43 + z. Calculate the lowest common multiple of c and 34.
136
Find the common denominator of 88/75 and (3/(-81))/(70/1316).
675
Let b = 244 + -154. Calculate the least common multiple of 50 and b.
450
What is the common denominator of (70/4)/(16 + -28) - 1 and -59/267?
2136
Let f(c) = c**3 + 3*c**2 - 5*c + 4. Let l be f(-5). Let p = l + 37. What is the smallest common multiple of p and 10 - (-6 - (-3 - 1))?
48
Suppose 11*w = 16*w + 30. What is the lowest common multiple of 2 and (6/(-4))/(w/8)?
2
Let j be 2239427/3 - (-7)/21. Let q = -104507141/140 + j. Let l = -11/7 + q. Calculate the common denominator of -93/4 and l.
20
Let p = -473/60 - -47/12. Calculate the common denominator of -11/288 and p.
1440
Let k = 238161/892552 + -140/1891. Find the common denominator of k and 117/56.
3304
Suppose 5*y = 4*k - 108, -2*y + 118 = 5*k - 4*y. Let a = 9 + -3. Calculate the smallest common multiple of k and a.
66
Let a(k) = k**3 + 17*k**2 + k + 20. What is the least common multiple of 108 and a(-17)?
108
Let r = -84 - -39. Let z be 6/r + (-3512)/(-15). Find the common denominator of (-5 - -7) + z/(-16) and -69/2.
8
Suppose -10 + 310 = 2*i. Calculate the smallest common multiple of 24 and i.
600
Let r = 7802 + -62497/8. Calculate the common denominator of r and (275/(-15))/(8/(-6)).
8
Suppose 12*d - 56 = 376. Let x = -14 + d. Calculate the smallest common multiple of 10 and x.
110
Calculate the least common multiple of -1 + 3/9 + 1152/27 and 77.
462
Let o = -1719 - -1854. Calculate the smallest common multiple of o and 243.
1215
Suppose -5*z + 3*y = 11, -1 = 5*z + 5*y + 34. Let v be 206/(-88) - (-2)/z. Let q = v + -10/11. Calculate the common denominator of -61/18 and q.
36
Let g = -14075904 - -8178097702/581. Let r = -21/166 - g. Let t = 54/109 - 4351/1962. Find the common denominator of r and t.
126
Let c = -18 + 21. Suppose w - c = 5. What is the smallest common multiple of w and 8?
8
Let w = 118 - 721/6. Find the common denominator of (-6 - (-504)/16)/(-19) and w.
114
Let l = -29214169307/22650959976 + 32679/389513. Let d = -6/2423 + l. What is the common denominator of 11/12 and d?
24
Suppose 2*c + 2*f = -126, 2*f = 2*c - f + 136. Find the common denominator of (c/(-442))/(4/10) and 101/16.
272
Let q = 53 - 31. Suppose 7*l + 0*l - 147 = 0. Suppose 5*w = -5*d + 25, -5*w = 4*d - 0 - l. What is the least common multiple of q and d?
44
Suppose -93 = -4*h - 13. Let d(c) = -c**3 - 4*c**2 + c - 1. Let i be d(-2). Let v = i + 13. Calculate the least common multiple of h and v.
20
Suppose -2*g + 25 = 5*v, 5*v = 5*g + 4*v - 49. What is the smallest common multiple of g and 14?
70
Calculate the lowest common multiple of ((-100)/3 + 0)*42/(-35) and 72.
360
Suppose 0 = 4*k + 41 + 95. Let u = -28 - k. Calculate the lowest common multiple of u and 2.
6
Let q = -8/32789 + -3310889/3278900. What is the common denominator of q and 37/75?
300
Suppose -9*p + 645 = -2*p + 4*v, v = -5. What is the lowest common multiple of 35 and p?
665
Let f(a) = a**2 + 7*a - 6. Let u be f(-9). Suppose 5 = c - 1. Let k = u - c. Calculate the least common multiple of 19 and k.
114
What is the common denominator of 6/(-27) - (-2924)/360 and -91/20?
20
Let g(m) = -m**3 - 38*m**2 + 34*m - 185. Calculate the lowest common multiple of g(-39) and 146.
730
Suppose 0 = 5*j + 6 - 16. Let x(i) = -15*i + 4. Let k be x(2). Let a = k + 35. What is the smallest common multiple of a and j?
18
Let a be ((-72)/(-18))/(1 - 0). Suppose 0 = 2*y - 16 + a. Calculate the smallest common multiple of 3 and y.
6
Suppose -512 = -37*u + 5*u. What is the smallest common multiple of 28 and u?
112
Let t = 18 - 13. Suppose -4*h + 1 = 3*n - 12, -7 = t*h - 4*n. What is the common denominator of 87/22 and (-536)/128*(h - 0)?
176
What is the smallest common multiple of -4*(-7 - (4 - 7)) and 92/(-3)*9/(-6)?
368
Suppose 0*q + 42 = 6*q. Let j = -3 - -6. Let r = j + 0. Calculate the smallest common multiple of q and r.
21
Suppose 9*y + 5 = 14. Calculate the least common multiple of 10 and (-21)/12*-4*y.
70
Let r(k) = -22*k - 104. What is the least common multiple of 36 and r(-8)?
72
Let y(p) = -p**3 + 6*p**2 - p - 2. Suppose 2*q = 8 + 2. What is the least common multiple of 12 and y(q)?
36
Let y = -379 - -387. What is the smallest common multiple of y and 1100?
2200
Let q = -7516677/125 + 60133. Find the common denominator of 113/200 and q.
1000
Let d = -205541/26 + 7907. Find the common denominator of -101/8 and d.
104
Let d = 21 + -3. What is the smallest common multiple of d and 21?
126
Suppose -4*m - 11 = -27. Suppose m*n = o + 10, -2*n = 4*o - o - 12. What is the least common multiple of n and 22?
66
Let s = 68 + -90. Let l = -14 - s. What is the smallest common multiple of l and 4?
8
Let c = 26215/12 + -2193. What is the common denominator of 2/(-6) + (-250)/(-15) and c?
12
Suppose -f + 138 = 2*d, 4*d + 2*f = f + 274. Let r = -4153/5 - -835. Calculate the common denominator of d/(-8) + (-3 - 1) and r.
10
Let g(m) = -5*m + 23. Let u be g(8). Calculate the common denominator of u - -14 - 37/(-12) and 398/(-12) - (-4)/6.
12
Let n = -4653 - -74481/16. Find the common denominator of n and 7/170.
1360
Let z = 1160 - 20753/18. Let q = -16273 - -260465/16. Calculate the common denominator of q and z.
144
Suppose 5*k - 2*f - 2600 = 0, -4*k + 4*f + 1560 = -k. Let m = k + -3648/7. Find the common denominator of -40/7 and m.
7
Calculate the least common multiple of 180 and (-10)/(1 + 170/(-150)).
900
Let n = 30 - 49. Let b = n + 34. What is the common denominator of (b/(-9))/((-24)/52) and -1/4?
36
Suppose -3*l + 6 = n, 2*l = -2*n - 2*l + 14. What is the common denominator of (82/n)/(10/15) and (-395 + 341)*2/(-40)?
30
Let h be -3 + 17 - (0 - -1). Let x = -7 + h. Calculate the least common multiple of 62 and x.
186
Let i = 209/9456 + 246/197. Find the common denominator of i and 55/28.
336
Suppose 2*n - 6 = -n. Let c(d) = -2*d - 4. Let y be c(-5). Suppose -y = -4*u + 2*l, -l + 2 + 1 = 0. What is the least common multiple of n and u?
6
Suppose -6*j = 15 + 63. Find the common denominator of -32/5 and j/((-286)/32) + 4/(-22).
55
What is the common denominator of 5*7*(-1)/(-112) and -7/10?
80
Calculate the common denominator of 56/(-560)*(-550)/(-4) and -9/4.
4
Suppose -3*d = d - 976. What is the common denominator of (2/(-20))/(4/d) and -81/76?
380
Let c = -80 - -100. Let t(k) = -k + 10. Let i be t(8). Suppose 0*l = i*l - 8. What is the smallest common multiple of c and l?
20
Suppose -29*g = -15*g - 2520. What is the lowest common multiple of g and 20?
180
Let y = -8 + 16. Suppose 10 = 3*m - a, 5*m - 2*a - 12 = 3*m. Suppose 12 = -3*x - x, -3*x - 25 = -m*l. Calculate the least common multiple of y and l.
8
Let w = -10804536592 + 121291727671399/11226. Let o = -2/5613 - w. Calculate the common denominator of o and -115/36.
36
Let k = -37/68 + 22/17. Let m = 212453/12 - 17716. What is the common denominator of m and k?
12
Suppose -4*f + f + 9 = 0. Suppose 0 = 3*r - 9 - 3, 0 = -4*l + f*r + 4. What is the smallest common multiple of -12 + 12 - 8/(-2) and l?
4
Suppose -5*l - 2*a = -229, 74 = 5*l + 4*a - 159. Calculate the least common multiple of l and 33.
495
Let c = -352 + 406. What is the smallest common multiple of c and 32?
864
Suppose 0 = -8*y + 7*y + 4442. Let q be y/6654 - 12/18. Let h = 61011/17744 - q. Calculate the common denominator of h and -81/8.
16
Let r = 511 + -277. Calculate the least common multiple of 18 and r.
234
Calculate the common denominator of 29/80 and 1 - (10 - (-12467)/(-1352)).
1040
Let j be 15/25 - (-3)/(-5). Let z be (-2)/1