089
Let f = 267 - 245. What is the smallest common multiple of 90 and f?
990
Let t = 118 - 282. Find the common denominator of t/264 + (-4)/3 and 77/10.
110
Let r(a) = 865*a**2 - 3*a + 4. Let f be r(4). Let d = 193561/14 - f. What is the common denominator of d and 111/20?
140
Let g(s) = -s**3 - s + 3. Let w be g(0). Let r(y) = 6*y**2 + 0 + w*y - 5*y**2 + 3. What is the lowest common multiple of r(-2) and 7?
7
Let v = -11338 + 22368. Let p be (145/(-25))/((-28)/v). Let o = p + -2278. Calculate the common denominator of 151/12 and o.
84
Let k = -3581/6 + 575. Let b = -12949/1554 - -355/37. Calculate the common denominator of b and k.
42
What is the common denominator of (-165)/42*1/(-10) and -1 + 8/((-640)/(-265))?
112
Suppose -5*o + 45 = -4*g - 10, -2*o - 70 = 3*g. Find the common denominator of 0 - 1 - g/(-24) and 39/8.
24
What is the lowest common multiple of (-598)/(-4) + (-15)/6 and 168?
1176
Let x = 40 - 13. Let q be ((-2554)/(-6))/((-820)/x). Let y = 425/41 + q. Find the common denominator of 89/20 and y.
20
Suppose -m = -c + 23, 0 = 4*c + m - 111 + 34. Calculate the least common multiple of 32 and c.
160
Suppose 0 = -5*f - 43 + 133. Let i = -243 - -258. Calculate the smallest common multiple of i and f.
90
Let b = 53089 + -636235/12. Let h = b + -269/3. What is the common denominator of 101/36 and h?
36
Let f be 578*2*(-5)/40. Let t = -155 - f. Let g = -187 + 889/5. What is the common denominator of g and t?
10
Let q = -1464 - -6655. Let f = q + -31261/6. Let o = 471 + -3313/7. Find the common denominator of f and o.
42
Let q = 122631/22 - 5576. Let h = 2/157 + 1711/1256. Find the common denominator of q and h.
88
Find the common denominator of 41/22 and (1/(-8))/(2/316).
44
Suppose -2*k + 35 = 5*s, -264*s + 33 = 3*k - 263*s. Let b(c) = 9*c**2 - 2*c - 2. What is the least common multiple of b(2) and k?
30
Let c = 1293 - 1033. What is the lowest common multiple of c and 52?
260
Let n = -61 - -71. Calculate the least common multiple of 32 and n.
160
Let y be 3/(18/(-8))*(-4 - -7). Calculate the smallest common multiple of 10 and y*(2 - (-52)/(-24))*9.
30
What is the common denominator of (-30)/(10/1) + 92/39 and 113/18?
234
Let g(s) = -s**2 + s + 1. Let u(x) = -2*x**2 + 2*x + 3. Let f(j) = 3*g(j) - 3*u(j). Calculate the smallest common multiple of f(-2) and 32.
96
Let h = -20/611 + -11111/52546. Calculate the common denominator of h and 54/7.
602
Let d = 34/43 - -1249/215. Let p = 2820/13 - 218. What is the common denominator of d and p?
65
Let m be (22/(-4))/((-5)/10). Suppose -2*k + m = -19. Find the common denominator of (-65)/(k + 4 + -5) and -35/3.
42
Let w(j) = -j**2 - 15*j - 4. Let u be w(-13). Let m = -16 + u. Calculate the lowest common multiple of m and 3.
6
Let a be (24/(-25) - -1)*-102. Let n = -647/150 - a. Let o = 221/15 + n. What is the common denominator of o and 115/6?
6
Let t(l) = l**2 - 10*l - 3. Let r be t(7). Calculate the lowest common multiple of (0 - (-2)/(-8)) + (-222)/r and 1.
9
Let s = 28 + -17. Let h be ((-4)/8)/((-1)/(-4)). Calculate the lowest common multiple of s and 249/27 - h/(-9).
99
Let g(k) = 7*k**2 - 15*k + 2. Let v be g(6). Let i be (-18)/(-63) + v/14. Calculate the common denominator of 83/42 and 231/(-48)*16/i.
84
Let s(i) = -4*i + 28. Let x be s(8). Let y = 630/13 + -5566/117. Find the common denominator of y and 1*x - 438/(-42).
63
Suppose -5*w = 2*n - 29, 5*n - 4*w + 11 = 1. Find the common denominator of (53/6)/((-3)/n) and -2 + (-61)/(-13) + 1.
117
Let p = -533215/27 + 19746. Calculate the common denominator of p and -22/9.
27
Let u = 10031 + -2878952/287. What is the common denominator of 59/35 and u?
1435
Calculate the common denominator of ((-50)/30 - -1) + (-77)/60 and -11/8.
40
Let z be 3/5 + (-24)/40. Suppose -o + z*o - 22 = 4*d, -5*o = 3*d + 25. Calculate the least common multiple of 1 and -4 - 1*(o + -10).
8
Let n = 76 - 67. What is the smallest common multiple of n and 111?
333
Suppose 0 = -21*f + 8*f + 4342. Let a = f - 2021/6. Find the common denominator of -79/74 and a.
222
Let d = 47 + -41. Let b = 56 - 26. Calculate the lowest common multiple of b and d.
30
Let r be (-16)/6*16542/8. Let o = 77139/14 + r. Find the common denominator of o and -61/6.
42
Let n = 224 - 76. Suppose 6*c = -2*v + c + 143, -2*v - 4*c + n = 0. What is the common denominator of 34/3 and -41*(-3 + v/27)?
9
Suppose -4*l + 118 = -5*k, 0*l - 2*l + 74 = 5*k. What is the least common multiple of 44 and l?
352
What is the common denominator of -13/40 and 1 - (-6 + (-3035)/(-400))?
80
Suppose -3*s + 18 = -s - 4*q, 3 = -s - 2*q. Let z(w) = -w + 11*w - 6*w - s*w + 6. What is the smallest common multiple of 4 and z(-5)?
4
Suppose -5*w + 20 = 0, -5*w - 118 = -3*i + 504. Calculate the lowest common multiple of 20 and i.
2140
Suppose 0*i + 5*i - 3*o = 110, 4*i - 88 = -3*o. Let a(t) = -t**3 + 5*t**2 + 2*t - 8. Let s be a(5). Calculate the common denominator of s/7 + 139/(-217) and i.
31
Let b = -8 - -14. Let i(f) = -f**2 + 42*f + 52. Calculate the least common multiple of i(43) and b.
18
Let q be 1 + -4 + (-2 - (-108 - 0)). Let h = q + -723/7. Find the common denominator of 4/17 and h.
119
Suppose 0 = -j + t - 1, -5*j + 11 = -4*j + 2*t. What is the common denominator of 1/(0 + (-8)/38) and (-326)/(-40) + 0 - j?
20
Let n = 362 - 248. What is the least common multiple of n and 3?
114
Let y = -5162/3 + 1706. What is the common denominator of 57/2 and y?
6
Suppose 0 = -18*u + 555 + 165. What is the least common multiple of u and 24?
120
Let t = -3051/7 - -79641/182. Find the common denominator of t and 34/91.
182
Let u = -173 + 98. Let g = -54 - u. What is the smallest common multiple of g and 27?
189
Suppose -4*o = -5*o + 168. Find the common denominator of -37/22 and (6/(-8))/(-2 + o/76).
176
Suppose -4*v = 5*f + 21, -3*f - 5 - 5 = 5*v. Calculate the common denominator of v/59*-1*43 and 15/2.
118
What is the lowest common multiple of (7/(-2) - 2)/((-29)/1392) and 132?
264
Let v(h) = -37*h - 528. What is the lowest common multiple of 14 and v(-18)?
966
Find the common denominator of ((-1)/(-6))/(-9 - (-28872)/3213) and 79/16.
80
Let h be ((-1690612)/238120 + -2 - -1) + 1. Let i = h - 1/5953. What is the common denominator of -47/40 and i?
40
Let w = 11767/4 + -2966. Let u = -132613/6 - -21980. Let i = u - -320/3. Calculate the common denominator of w and i.
4
Let b = 269/216 - -7/216. Calculate the common denominator of b and 137/102.
306
Calculate the common denominator of 206/60 - 8/(-10) and -89/20.
60
Let z be (-1)/6 + 1565/(-36). Let n = z - -191/4. Find the common denominator of -47/5 and n.
45
Let x = 11 - 12. Let d be 0/(x - 1) + 3. What is the least common multiple of d/(-9)*12/(-1) and 22?
44
Suppose -42*y - 384 = -54*y. What is the lowest common multiple of 8 and y?
32
Suppose -a = 118 - 18. Let z = a - -35. What is the common denominator of -79/6 and (-3 + z)*6/108?
18
Let l(p) = -p**2 - 6*p - 5. Let r be l(-3). Suppose 18 = r*g - 22. Calculate the lowest common multiple of 19 and g.
190
Let u(o) = -16*o**3 - o**2 + 1. Let c(b) = b**3 + 4*b**2 - 5*b - 2. Let j be c(-5). Let i = j - -1. What is the least common multiple of 22 and u(i)?
176
Let s = 5225 - 114931/22. Let a(d) = -3*d + 23. Let w be a(7). What is the common denominator of s and (-7)/70*(-465)/w?
44
Suppose -a + 100 = 3*a. Let w = -23 + a. Calculate the smallest common multiple of 7 and w.
14
Let i = -28138027/26460 + 11/13230. Let r = 1052 + i. Let t = 8/31 - -2429/558. Calculate the common denominator of t and r.
36
Suppose 0 = -35*k + 161 + 119. Calculate the smallest common multiple of k and 81.
648
Let z(v) = -5*v**3 - 5*v**2 - 4*v. What is the smallest common multiple of 6 and z(-4)?
768
Let l = -1958116/1269 - -8478504919/5388174. Let j = l + -2/2123. Calculate the common denominator of j and -87/2.
2
Let o = -1329 - -1332. Calculate the lowest common multiple of o and 42.
42
Let m be 14*(30/14 - 3). Let h = 151 - 276. Calculate the common denominator of 101/2 and (-7)/m*h/7.
12
Let v = -464071551/5357 - -86629. Let r = 219627/26785 + v. Let o = 297/35 - r. Calculate the common denominator of o and 25/6.
42
Let i(o) = 26*o**2 - 31*o + 41. Calculate the lowest common multiple of 208 and i(3).
1456
Let x = -25367/27513 - 4/1019. Let v = -1057/