the common denominator of d and 77/282.
282
Let i be 16/(15/(375/(-10))). Let z = 1/4046 - 32659/8092. What is the common denominator of z and 155/(-6)*(-9)/i?
112
Let q = 12 - 5. Suppose 0*x = -4*g + 2*x - 10, -g + 5*x - q = 0. Find the common denominator of -74/15 and (612/270)/(g/(-5)).
15
Suppose -4*p - 22 = -2*w, 2*p - 9 + 41 = 2*w. What is the common denominator of 28/w*2*158/(-96) and 149/390?
1170
Let c(q) = -q**3 - 88*q**2 + 90*q + 571. Calculate the smallest common multiple of 4 and c(-89).
964
Let k(u) = -7*u - 95. Let m be k(-14). What is the common denominator of (m - (-39)/(-12))*-158 and 6/(-8)*186/99?
22
Suppose 9345 = 233*t - 144*t. What is the least common multiple of 385 and t?
1155
Suppose -13 + 9 = -z. Let a(q) = q**3 - 4*q**2 + 6*q - 2. Suppose -25 = -2*c + 7. Calculate the lowest common multiple of c and a(z).
176
Calculate the common denominator of -47/1065 and ((-1413)/54 + 15)*6/33.
11715
Let m be (1/(-2))/(1*6/(-180)). Let r be 5/m*9 + 1. Suppose 20 = -r*a, -s - a = -5*s + 85. Calculate the lowest common multiple of s and 36.
180
Let l(c) = c - 281643. Let x be l(0). Let q = x - -183631279/652. Calculate the common denominator of q and -65/8.
1304
Let u(t) be the third derivative of -t**5/30 - 53*t**4/24 - 15*t**3/2 - 2*t**2 - 27*t. What is the smallest common multiple of u(-25) and 42?
210
Let y(g) = 76*g - 302. Let x be (-1 - 3)/(16/(-12)). Suppose x*k - 10 = 2*k. What is the least common multiple of k and y(4)?
10
Let f = -10536 + 10559. Calculate the smallest common multiple of 3 and f.
69
Suppose -88*f + 3286 = -87*f. Let l = 29536/9 - f. Find the common denominator of l and 40/7.
63
Suppose 43*a = 42*a + 5. Suppose m = l - a, -4*m + 15 = 4*l - 5. Suppose 2*r - 4 = m, -3*p + 7*p = r + 78. Calculate the lowest common multiple of 10 and p.
20
What is the lowest common multiple of 5269 and (4/4 - 0)/(51/122145)?
26345
Let i = -18772/3 - -6007223/960. Find the common denominator of -79/68 and i.
5440
What is the common denominator of -101/846 and (-4)/(-48)*((-2964)/(-91) - 2)?
5922
Find the common denominator of 113/66 and ((-1)/2)/(2412/3752).
198
Let i(k) = -k**2 + 254*k + 2385. What is the least common multiple of i(-9) and (-53)/(-3) - 2/(-6)?
18
Suppose 3*d = 5*d + 90. Let k = d + 60. Calculate the lowest common multiple of 8 and 2/(k/(-75) - 26/(-110)).
440
Suppose -r = -37 - 7. Let s = 8342 - 8330. What is the least common multiple of r and s?
132
Suppose -10*z + 650 = -90. Let q = 104 - z. Suppose 2*r + 2*w = -2*r + q, 2*r - 3 = 3*w. Calculate the smallest common multiple of r and 20.
60
Let v = 686 - 1041. Let b = -51/7 + 1349/189. Find the common denominator of b and 6/(-2)*v/45.
27
Let x(b) = b**2 - 11*b - 5. Let w be x(5). Find the common denominator of 40/27 and (-2)/w*411/(-72)*10.
378
Let k = -33107/1980 - -643/45. Let o = -21962/105 + 1438/7. Let b = -107/20 + o. Calculate the common denominator of b and k.
132
Suppose -56*u + 51*u - 2310 = -5*i, 0 = -2*i - 3*u + 934. Calculate the least common multiple of 406 and i.
3248
Let s be 902749/225687 + -3 + -1. Let j = s + -14153803/902748. Let q = 171/7 + j. What is the common denominator of 43/7 and q?
28
Let x = 22 - 16. Let a be (8/x + 0)/((-1)/(-3)). What is the smallest common multiple of 6 and (a/(-12) - 8/(-6))*3?
6
Suppose 2*g - l = -4*l - 32, l - 26 = 3*g. Let d = 6835 + -129881/19. What is the common denominator of d and g?
19
Suppose -5*h - 3 + 0 = 3*x, -3*h + 7 = 4*x. Let n(m) = m**2 + 11*m + 20. Suppose 7*o - 6*o + 10 = 0. Calculate the smallest common multiple of x and n(o).
20
Suppose 5*d + 4*v = -0*v - 29, 3*d - 5*v = -47. Let a = 39 + d. Calculate the least common multiple of 2 and a.
30
Let x be -256 + -6 + 2*(-1 + 0). Let s = x - -278. Calculate the least common multiple of 68 and s.
476
Let f = -5216 + 2112487/405. What is the common denominator of ((-13)/(364/21))/(99/(-320)) and f?
4455
Suppose 7*n - 37586 = -71*n + 59758. What is the lowest common multiple of n and 2288?
13728
Let l = 196 + -201. Find the common denominator of 87/4 and (l/15)/((-20)/(-495)).
4
Let p(t) = 2*t**2 - 18*t - 1. Let v be p(14). Suppose 5*i - 4*i = -3*s + 47, -v = -2*i + 3*s. Calculate the lowest common multiple of 6 and i.
186
Let q(c) = -31*c + 21. Let w be q(6). Let y be (-1)/((-177)/38)*w/22. Let l = 7027/590 + y. Calculate the common denominator of l and -26/9.
90
Suppose 15*p = 52 - 82. Calculate the lowest common multiple of 42 and 28/(3 - (p - -3)).
42
Let v = 47133567/244 - 193170. Find the common denominator of v and -76/9.
2196
Let p be (11 - 644217/36) + (0 - -4). Let l = -17870 - p. Calculate the common denominator of 51/10 and l.
60
Suppose 0 = 3*b - 4 - 11, -2*a = 4*b - 20. Suppose -5*l + 162 - 107 = a. What is the smallest common multiple of 22 and l?
22
Calculate the common denominator of -163/264 and -123*4/(-912)*(-26)/(-39).
5016
Suppose 169*z = 168*z + 12. Find the common denominator of -56/15 and (-10)/z*(-650)/125.
15
Suppose q - 4*q = -84. Calculate the smallest common multiple of q and (4/40)/((-2)/(-36))*780/156.
252
Suppose 5*g - 134 = 111. Suppose -g = -z - 39. What is the smallest common multiple of z and (-6)/4*(-56)/21?
20
Suppose 2484 = 59*k + 1068. Calculate the least common multiple of k and 1140.
2280
Suppose 105 = -4*z + 409. Suppose 27*y + y = 1288. Let t = z - y. Calculate the lowest common multiple of t and 27.
270
Suppose 56*s - 212 = 45*s + 184. Calculate the smallest common multiple of 40 and s.
360
What is the common denominator of 163/30 + 1/(-2) and 363/36 + 3/12 + 72 + -67?
15
Let x = 3121/366 - -39/61. Find the common denominator of (14/15)/((-917)/(-35) - 132/165) and x.
762
Let j be 1221122/196 - 2/(-7). Let i = 6030 - j. Let f = 211 + i. Find the common denominator of 65/14 and f.
14
Suppose 2*r + 2 = -2*k, 5*r + 0*k - 3 = 3*k. Let v(l) = -l**2 + 2*l + 2. Calculate the least common multiple of (-1 - 1)/((-3)/15) and v(r).
10
What is the least common multiple of ((-10310)/(-50) + 6)/(1/10) and 6?
6366
Suppose 0 = -14*r + 17*r - 69. Find the common denominator of -67/9 and 148/r - 10/2.
207
Let h(t) = t**3 - 138*t**2 - 6*t + 1560. Calculate the lowest common multiple of 305 and h(138).
3660
Let b(d) = -1195*d - 20. Let n be b(15). Let g be 4 + ((-18)/90 - (-1615393)/90). Let m = n + g. Calculate the common denominator of m and -25/12.
36
Let x be 40/1 + (-8 - -7). Suppose 5*l + 4*r = 36, 2*l - 13 = -5*r + 15. What is the smallest common multiple of l and (-2 - x/(-12))/((-1)/(-16))?
20
Let o = 10409 - 27617. Let q = 344233/20 + o. Let h = 1195 + -38291/32. What is the common denominator of h and q?
160
Let c = 269527/434 - 621. Calculate the common denominator of 1/1178 and c.
8246
Suppose -o + 513 = -4*o. Let i = -909 - o. Find the common denominator of 1/(-15)*i/(-12) and -17/6.
30
Let l(y) = 2137*y + 9. Let a be l(3). Let z be 5/(a/8)*33. Let u = z - -6269/214. What is the common denominator of 1/22 and u?
22
Let l(m) = m. Let f(n) = -3*n - 34. Let d(z) = f(z) - 5*l(z). Let v be 148/1184 - 82/16. Calculate the least common multiple of 74 and d(v).
222
Suppose 2*h - 5*p - 977 = -0*p, -2*h + 2*p = -962. What is the common denominator of (-3349)/h + (0 - -3) and -101/24?
168
Suppose -2 - 6 = -4*w. Let s = 684 + -608. What is the lowest common multiple of s and w?
76
Suppose -3*n - 28 = 188. Calculate the least common multiple of 18 and ((-324)/n)/((-6)/(-16)).
36
Let y(r) = -r**3 + 4*r**2 + 5*r + 2. Let j be y(-3). Let d = -114 + j. Calculate the common denominator of 5/18 and (168/d)/((-9)/30).
36
Suppose -3*r + 1768 = -20*r. What is the smallest common multiple of r/(-78) + 68/3 and (-8 - 2)*12/(-10)?
24
Let t(k) = -k**3 - 3*k**2 - 2*k - 3. Let b(d) = -d**2 + 9. Let c be b(-3). Suppose -5*o - 15 = -c. Calculate the least common multiple of t(o) and 9.
9
Let r = -219813/40 + 5495. What is the common denominator of r and -17/12?
120
Let v = 6413/6 + -1085. Calculate the common denominator of 151/1956 and v.
1956
Calculate the lowest common multiple of 369 and 8 - ((-340)/18 - (-15)/(-135)).
1107
Let q be 4840/50 + -2 + 18/15. What is the common denominator of -1 + 1 - (-109)/12 and -207*(-13 + 5)/q?
12
Suppose 484 = 13*l - 10. Calculate the smallest common multiple of 414 and l.
7866
Suppose -b = -4 + 1