Let v = -1 + -17. Calculate the common denominator of (12/(-8))/(v/272) and y.
3
Suppose -3*i + 18 = 2*z - 5*z, -2*z = -5*i. Let w be ((-36)/z)/((-8)/(-20)). Find the common denominator of w/(-15) + (-668)/(-30) and -26/11.
33
Let x be ((-277)/2)/(25/200). Let c = -8883/8 - x. Calculate the common denominator of (-121)/(-60) - (-2)/5 and c.
24
Let j(k) = k**3 + 6*k**2 + 6*k + 1. Let w be j(-5). Calculate the common denominator of (-4)/(-6)*(-78)/40 and (w*(-3)/18)/((-170)/285).
170
Suppose -2*f = 2*a, 3*f + f - 32 = 4*a. Find the common denominator of (f/(-104))/(3/18) and 26/5.
65
Suppose -2*o - k = -229, 0 = -4*o - k - 224 + 681. What is the smallest common multiple of o and 3?
114
Let q be (-3)/(-3)*-4 + 6 - -3. Find the common denominator of 13/11 and (-4 - (0 - q)) + -18 + 0.
11
What is the least common multiple of (-2)/(-13) - 69*(-15)/117 and 156?
468
Calculate the least common multiple of (1155/308)/((-6)/(-64)) and 176.
880
Suppose -276*r + 283*r - 854 = 0. What is the lowest common multiple of r and 1?
122
Let y = -208 + 220. What is the smallest common multiple of y and 32?
96
Let f(s) = s**3 - 5*s**2 - 6*s + 8. Suppose 0 = 14*p - 9*p, -3*z = 2*p - 552. Let n = z - 181. What is the least common multiple of n and f(6)?
24
Let g = 994655/72 - 13814. What is the common denominator of -65/96 and g?
288
Let v = -10 + 13. Suppose -2*u + v*u + 76 = 0. Find the common denominator of (3/(-30))/((-1)/u) and -59/2.
10
Let g be (-4)/5*(-1 + -4). Suppose -5*w + 9*w = -120. What is the common denominator of -37/18 and g/(-6) + (-41)/w?
90
Let w = -5/167 + 4883/1336. Find the common denominator of -5/1476 and w.
2952
Suppose 8*f = 17*f - 4986. What is the lowest common multiple of 10 and f?
2770
Let z(f) = f**3 - 2*f**2 - 2*f + 15. Calculate the smallest common multiple of 20 and z(3).
180
Suppose 0 = 4*o - 3 - 5. Calculate the smallest common multiple of (-82)/(-6) + -5*1/(-15) and o.
14
Suppose 0 = -5*z - 0*z - 11220. Let i be 246/(-9)*z/28. Let p = -2187 + i. What is the common denominator of p and 24?
7
Calculate the common denominator of (329/98 - 4)/((-1)/(-11)) and 17/36.
252
Let z be 2/5 - 1862/(-95). Suppose -4*b = 4*j - j - 93, b - z = -4*j. Calculate the smallest common multiple of 18 and b.
72
Let o = 345/2 + -158. Suppose -97 - 793 = -2*s. Calculate the common denominator of o and (1 + 8/(-10))*s/8.
8
Let v = 50331/16 - 3141. Let b = -94629527/5 - -255121314347/13480. Let i = b + -3/1348. Find the common denominator of v and i.
16
Suppose -5*k - 315 - 398 = 2*q, -k = -5*q - 1742. Let f be (-4)/8*(629 - 0). Let l = f - q. What is the common denominator of l and -85/14?
14
Let k(x) = x**3 + 12*x**2 + 12*x + 11. Let s(c) = c**3 - 5*c**2 + c + 4. Let h be s(3). Let q be k(h). Find the common denominator of q/(-1) + 364/24 and 32/9.
18
Let z = 495 - 352. Let r be (-148)/(-6)*138/(-24). Let k = z + r. Calculate the common denominator of 69/32 and k.
96
Suppose 5*z - 4*d - d - 30 = 0, d = -2*z. Suppose y + z*k = -2*y + 19, -24 = -4*y - 4*k. What is the least common multiple of 10 and y?
70
Let c = -20/3493 + -442411/209580. Let a = 5882 - 82283/14. Find the common denominator of c and a.
420
Suppose -30*l = -35*l + 25. What is the lowest common multiple of 3 and l?
15
Suppose -4 = -2*d - 2*d. Suppose -12*j - 24 = -10*j. Calculate the lowest common multiple of d and j/(-1 + (-6)/(-3) + -3).
6
Suppose 7*p - 200 = -53. What is the lowest common multiple of 6 and p?
42
Let h be -3*2/4*2 - 0. What is the common denominator of -57/8 and h/(-9) - 4/((-432)/(-393))?
72
Let i = 796/5 + -160. Let l = 1021313/2913 - 2004956227/5412354. Let p = l + 2/929. Calculate the common denominator of i and p.
30
Find the common denominator of 8/11 and (-228)/(-14)*(-1568)/(-168336).
5511
Suppose 0 = -v + q + 42, 5*q = 2*v + 2*v - 165. Let i be ((-18)/5)/((-18)/v). Suppose 0 = -3*p + 6 + i. Calculate the least common multiple of 4 and p.
20
Let k = -5362942/2765301 + -2/83797. Calculate the common denominator of 29/6 and k.
66
Let v = -209 - -619/3. Calculate the common denominator of v and (0/1 - 4) + (-85)/(-6).
6
Suppose -5*k + 85 = -3*p, 4*k - 34 = p + 6. What is the least common multiple of 4 and (-4)/p + (-38)/(-10)?
4
Let x = -2448 + 19553/8. Calculate the common denominator of x and -57/4.
8
Suppose -5*f = -b + 53, 86 = 5*b - 5*f - 199. Calculate the smallest common multiple of b and 9.
522
Suppose v + 3*i = 8, 0 = -v - 4*i + 7 - 0. What is the least common multiple of v and 16?
176
Let j = -67/26278 - 511697953/157668. Let h = j + 3255. Let n = 645/74 - 3/185. Calculate the common denominator of h and n.
60
Let x = 3551/19024 - -1/1189. Calculate the common denominator of x and -145/312.
624
Suppose -3*i = -1353 - 483. Find the common denominator of 27/(-18)*(-2)/18*-31 and 1534/i + 8/(-68).
18
What is the lowest common multiple of ((-36)/(-21))/(7/((-49)/(-2))) and 4?
12
Let w = -174 - -658. What is the least common multiple of 352 and w?
3872
Let h = 320/343 + -105277/61740. Calculate the common denominator of 53/126 and h.
1260
Let u = 12512 + -575453/46. What is the common denominator of u and 55/2?
46
Suppose 2*s - 2*y = 2*y + 1276, 2*s - 3*y = 1272. Calculate the common denominator of (-2)/(s/(-993)) + (-8)/(-10) and 32/21.
21
Suppose 4*t = -0*t. Suppose t + 2 = -a - 3*m, -3*a - 4*m + 14 = 0. Calculate the least common multiple of 5 and a.
10
Suppose 4*u + 33 = -5*y, u + 6 = -y - 0*u. Let a = -2 - y. What is the smallest common multiple of 7 and a?
7
Let p = -761/28 - -111/14. Let r = 966178/9 + -12389386/117. Let w = -1462 + r. What is the common denominator of w and p?
52
Suppose 4*y - 30 = -y. Let i(n) = -6*n + 14 + y*n - n. What is the least common multiple of i(6) and 1?
8
Find the common denominator of -73/64 and -5 + -5 - 897/(-72).
192
Let x = 13 + -3. Suppose -m = m + 10, -3*m + 25 = 5*t. What is the lowest common multiple of x and t?
40
Let d(a) = a**3 + 5*a**2 - 6*a + 3. Let j = -10 + 4. Let z be d(j). What is the common denominator of (z/11)/(6/16) and -5/7?
77
Let g(t) = t + 8. Let n be g(-8). Suppose -d - 4 = 2*y, -4*y = -2*d - n - 8. What is the least common multiple of (13/(-26))/(2/d) and 4?
4
What is the common denominator of -29/8 and (-33)/(-22) + 834/(-480)?
80
Find the common denominator of 215/385 + 12/(-42) and 19/276.
3036
Let j(c) = c - 15. Let z be j(13). Let i(o) = -5*o. Let l(s) = -9*s - 8. Calculate the least common multiple of l(-2) and i(z).
10
Suppose 161 = 5*c + h, 0 = -3*c - c + 3*h + 125. What is the smallest common multiple of c and 16?
32
Let o = -735 + 750. Suppose -2*q + 3*y + y - 12 = 0, 12 = 3*y. What is the least common multiple of o and q?
30
Find the common denominator of (-602)/(-480) + (-128)/12 + 9 and -69/50.
400
Let h be 1/(-4) - 63/(-12). What is the common denominator of -35/26 and 470/(-28)*(-1)/h?
182
Let h be 1 - (401/(-3))/((-5)/(-3)). Let i = -82 + h. Find the common denominator of i and (-2)/(-6)*57/2.
10
Let n be ((-12)/9)/(3/36). Let w = n - -10. Calculate the common denominator of 77/8 and (-1)/18*(-693)/w.
24
Let z = 2430 + -38965/16. Let j = -34143/22 + 1551. Calculate the common denominator of z and j.
176
Let z = -1616211/10 - -161481. Let h = -140 - z. What is the common denominator of h and 9/10?
10
Suppose 3*p - 8 = p. Let j(o) = -9*o**2 + 4*o. Let t(a) = 8*a**2 - 4*a. Let g(k) = 6*j(k) + 7*t(k). What is the lowest common multiple of g(3) and p?
12
Suppose -3*d - 14 = 16. Let k = d + 17. What is the smallest common multiple of (-3 - -1)/((-4)/18) and k?
63
Suppose 2*q = -3*q - 5, 0 = i - q + 11. Find the common denominator of i/(-32)*201/(-9) and 91/12.
24
Let u = -4403/6 - -725. Let b(j) = j**3 + 4*j**2 - 4*j - 1. Let a be b(-3). Find the common denominator of u and 103/(-5)*5/a.
60
Let f be (9/(-10))/(((-336)/(-2535340))/(-2)). Let q = -13580 + f. Find the common denominator of 139/6 and q.
84
Find the common denominator of 55/(-22) + (-1130)/(-484) and 65/99.
1089
Let a(b) = -b**3 - 27*b**2 + 40. What is the smallest common multiple of 170 and a(-27)?
680
Let l = -8 + 20. Let b(t) = t**3 + 35*t**2 - 76*t - 72. What is the lowest common multiple of l and b(-37)?
12
Let o = -1575 + 1831. What is the least common multiple of 40 and o?
1280
Calculate the common denominator of (4