 14/35. Calculate the common denominator of -85/2 and (-13)/(-78)*4/n.
6
Let x be (-4)/(-8)*105578/10. Let t = x + -5287. Find the common denominator of -55/18 and t.
90
Let z = 88 + -80. Suppose 0 = f - 4*w + z, 14 = 5*f - 5*w - 21. What is the smallest common multiple of 12 and f?
12
Let p be 31 + -1*1 + 1. Let s be 7*(-14)/(-441) + 182/(-9). Let a = p + s. Calculate the smallest common multiple of a and 1.
11
Let a(f) = -2*f**2 - 22*f - 42. Calculate the least common multiple of a(-8) and 2.
6
Suppose 5*q = -3*w + 6, -4*q + 4 = -4*w + 12. What is the lowest common multiple of w and (-44)/66 - 78/(-9)?
8
What is the smallest common multiple of -3 + 138/42 - 47/(-7) and 40?
280
Let h(a) = 4*a**2 - 17*a + 61. Let v be h(7). Let c = v - 1909/14. What is the common denominator of (-382)/(-88) + 3/12 and c?
154
Let x = 2027 - 2023. Suppose u - 6*u + 265 = 0. What is the lowest common multiple of u and x?
212
Let p(u) = -u**2 + 9*u - 10. Let t be p(7). Suppose -3*a - 35 = -0*l - l, t*l = -3*a - 10. Find the common denominator of 385/a*2/8 and 10/7.
56
Let k = 2617/668 + -1/1002. What is the common denominator of k and 29/30?
60
Calculate the common denominator of (1150/400)/(105/(-18)) and 137/252.
1260
Calculate the common denominator of 9/(-108)*-9*(-354)/27 and -35/162.
162
Calculate the common denominator of -89/10 and ((-17)/((-102)/(-108)))/((-12)/27).
10
Suppose h - 5 = -2*j + 16, -105 = -4*h - j. Let p be -1 - (2 - (-28)/(-2)). Let a = h - p. Calculate the lowest common multiple of 12 and a.
48
Let t = 3644599/72 - 50621. Find the common denominator of 71/22 and t.
792
Let s = -11514 - -161113/14. Let u = 85/91 - -63/26. Calculate the common denominator of u and s.
14
Let o(x) = x**3 - 11*x**2 - 6*x + 2. Let j(b) = b + 1. Let r(w) = 6*j(w) + o(w). Calculate the smallest common multiple of 16 and r(11).
16
Let l(a) = -7*a + 29. Let y(f) = 15*f - 59. Let t(j) = -9*l(j) - 4*y(j). Calculate the lowest common multiple of 16 and t(13).
112
Suppose -3*f - 42 = -10*f. Suppose 0*n - 216 = f*n. What is the common denominator of -7/10 and 19*((-12)/(-3))/n?
90
Suppose 2*o - 4 = 6*o. What is the common denominator of 16 - (-1)/(-20)*214 and (-79)/18 - (o + 3)?
90
Let w = -429 + 23973/56. Calculate the common denominator of w and 61/176.
1232
Let j be 2/2 - (1 - (-1 - -1)). Let a(d) = -2*d**2 + d + 8. What is the lowest common multiple of a(j) and 24?
24
Let d be (-72)/108 - ((-2260)/(-3) - 0). What is the common denominator of 115/14 and d/(-912) + (-60)/(-160)?
798
Let f = -104008445/5334 - -82321/254. Let c = 19179 + f. What is the common denominator of c and -73/42?
42
Let p(d) = d + 7*d**2 - 2 + 2*d - 7*d + 5*d. Calculate the least common multiple of p(1) and 3.
6
Suppose 9*v - 55 = -19. Suppose 3*r + 5 = 4*r. Suppose r*f + w = 18 + 17, 5*w + 25 = 0. Calculate the smallest common multiple of v and f.
8
Suppose 2*m + 11 = -69. Let x = 18 - 2. What is the lowest common multiple of x and m + 42 + 1/((-2)/(-32))?
144
Let o = -39568 + 114916/3. Let k = o + 1246. What is the common denominator of k and 1 - (-134)/(-12) - 0?
6
Let j(s) = -2*s**3 - 5*s**2 - 14*s - 36. Calculate the lowest common multiple of 462 and j(-3).
2310
Let s = 15/116 - 139/290. What is the common denominator of s and -1/18?
180
Let j = 12470 + -7549. Let f = -49129/10 + j. What is the common denominator of f and -81/8?
40
Suppose 130 = -10*r + 190. What is the lowest common multiple of 24 and r?
24
Suppose i = -3*x + 39, 23 - 2 = x + 3*i. Let f be (-2)/7 - 116/(-14). Let b(c) = -c**2 + 8*c + 2. What is the least common multiple of x and b(f)?
12
Find the common denominator of -7/135 and (-3)/1350*5354 + 12.
675
Let s = -15120/11 - -1379. Let g(b) = 82*b + 55. Let q be g(-18). Let t = q - -7073/5. What is the common denominator of t and s?
55
Let m = -114123/28 + 4075. Let s = 10169/60 + -508/3. Find the common denominator of s and m.
140
Let v(j) = 5*j**2 - 54*j + 112. Calculate the lowest common multiple of 780 and v(2).
1560
What is the common denominator of 67/54 and 327/36 + 1/3?
108
Suppose -7*r - 775 - 135 = 0. Calculate the common denominator of 13/18 and r/88 + (-11)/(-44).
198
Suppose -76*s + 89*s - 1729 = 0. What is the least common multiple of s and 190?
1330
Let o = -843 - -6755/8. Find the common denominator of o and 41/12.
24
Let k(l) = -2661*l + 16. Let m be k(-5). Let p be m/(-33) - 4/3. Let i = p - -8949/22. Calculate the common denominator of 81/14 and i.
154
Let j(n) = -n - 4. Let z(f) = -f - 1. Let c(w) = -j(w) + 3*z(w). Suppose -12*t + 12 = -16*t. Calculate the lowest common multiple of 15 and c(t).
105
Let b(o) = 2*o**2 + 35*o - 33. What is the lowest common multiple of 45 and b(-19)?
360
Let n(i) = -i**3 - 52*i**2 - 168*i - 79. What is the smallest common multiple of n(-49) and 16?
7600
Let u = 3427/16 - 417/2. Let o = -1/3182 + 147973/31820. Calculate the common denominator of o and u.
80
What is the common denominator of (-80)/(-6)*(-252)/70 and -5/7?
7
Let g = 374251/20 + -18718. Find the common denominator of g and (-2)/(-2) + 99/14.
140
Suppose -136 = -7*j - 10*j. Let m = 48 + -20. Suppose -p - p = -m. Calculate the least common multiple of j and p.
56
Find the common denominator of (10/(-6))/((-7)/(-35)) and -37/33.
33
What is the least common multiple of 14 and -28*(5 + -1)/24*-3?
14
Let u = -471 + 717. Let w = u + -1248/5. Find the common denominator of w and (3/9)/((-2)/(-142)).
15
Calculate the lowest common multiple of (-7136)/(-34) - 2/(-17) and 36.
1260
Let d(g) = -g**2 + g - 2. Let a be d(0). Calculate the lowest common multiple of (15/(-20))/(6/(-32)) and (15/(5 + a))/1.
20
What is the common denominator of 103/10 and (2830/(-300) - 11) + 2/(-5)?
30
Calculate the common denominator of 10/12*(-11)/(297/126) and (-11)/55*(-5)/11.
99
Let b = 57 + -55. Find the common denominator of (-332)/(-24) + (0 - b) and -41/11.
66
Suppose 6052 = -16*u + 6500. Suppose -2*q = -3*h, 2*q + 6*h - 14 = 2*h. Calculate the smallest common multiple of u and q.
84
Let a(j) = -11*j**3 - 6*j**2 + 10*j + 2. Let g be a(7). Let x = g - -71845/18. Let i = -18/395 - -4101/1580. What is the common denominator of i and x?
180
Let t(j) = 2*j. Let o be -3*(-6)/9 - -2. Calculate the lowest common multiple of 6 and t(o).
24
Let t be -3*(70/15 - 2). Let o = t + 10. Suppose c - 17 = -c - n, -o*c - 5*n = -37. What is the least common multiple of 6 and c?
6
Suppose 5*n - 3*n + 2 = 2*v, -v + 2*n + 1 = 0. Let x = v - -58. Let s = -41 + x. What is the smallest common multiple of 40 and s?
360
Let q = -195071/8162 + 1234/53. Find the common denominator of -65/22 and q.
154
Let c = 239 - 199. What is the lowest common multiple of 8 and c?
40
Suppose 5872 = -2*d + 4*t + 21816, 4*d + 5*t - 31849 = 0. Let b = 21741/203 + -9861251/1218. Let r = d + b. Find the common denominator of r and 49/10.
30
Let n be 17/34 + 1329/14. Let c = -4883/42 + n. Calculate the common denominator of -46/9 and c.
18
Suppose 124 = 14*v + 26. Suppose v*b = -31 + 171. What is the least common multiple of b and 2?
20
Let z = 12 - 40. Calculate the common denominator of 36/(-16)*z/(-30) and -111*1/(-15) + (-1)/1.
10
Suppose d + 4 = 2*d. Suppose 5 = -4*t + 3*c, -c = -d*t - 0*c - 15. What is the common denominator of ((-151)/t)/(36/(-10)) and 95/12?
36
Let n = -2089/4620 - 21/220. Calculate the common denominator of n and 79/33.
462
Let p(f) = 26*f**2 - 7*f + 2. What is the smallest common multiple of p(1) and 3?
21
Let r = -31/24 - 11/24. Suppose -7*s = -8*s + 4. What is the common denominator of r and 0 + (-692)/176 + (-1)/s?
44
Let s(a) = -2*a + 4. Let b(i) = i - 11. Let c be b(4). Let m be s(c). Find the common denominator of -44/5 and 1 - (-2 - (-172)/m).
45
Let a = -18885 - -75545/4. Find the common denominator of (-2)/(-5)*1310/24 and a.
12
Suppose 3*v + 5*c = 309, -8 = -4*c - 20. What is the smallest common multiple of 30 and v?
540
Let b = -61967/6 + 10345. Find the common denominator of b and ((-134)/(-12))/((-1)/2).
6
Let u = 39 - 27. Let y be (1 - 7/2)*(-8)/10. Calculate the least common multiple of (y/(-4))/((-8)/128) and u.
24
Let h be 24/5*15/6. Suppose z + 12 = -28. What is the smallest common multiple of (-1 - 2)*z/h and 12?
60
Calculate the common denominator of 71/4 and (-1681)/(-198) - (88 - 80).