737/2. Let n be ((-5)/10)/(14/124). Let y = -65/14 - n. What is the common denominator of y and a?
154
Let c(i) = 27*i**2 + 3*i + 6. What is the least common multiple of 12 and c(3)?
516
Suppose -4*q + 13 + 73 = 2*h, 3*q - 2*h - 68 = 0. Calculate the smallest common multiple of ((-16)/10)/(1*(-6)/30) and q.
88
Suppose 5*x - 18291 = -3*r, 5*r - 2*r = 2*x - 7329. Calculate the common denominator of 93/22 and ((-2)/40)/(48/x).
176
Suppose -c - 2*c + 24 = 0. Suppose 4*l = q + q - c, 4 = -2*l + 4*q. What is the common denominator of -47/18 and (20 + l)*(-3)/(-28)?
126
Let v = -14316127/176 - -81341. What is the common denominator of v and 47/22?
176
Let r = -709/2 - -3433/10. Find the common denominator of (-2)/(-12)*(3 + -18) and r.
10
Suppose 0 = 8*n - 1063 + 359. Calculate the smallest common multiple of 16 and n.
176
Let g be -1*(3/1 + -2). What is the common denominator of (-132)/(-9)*(3 - (-54)/(-21)) and g + -1 + 18/10?
35
Find the common denominator of 16/5 and -5*(-28)/(-75)*(6 + 0).
5
Let l be 5405448/352 + (-1)/4. Let d = l + -15353. Let t = -9843/10340 - -1/517. Find the common denominator of d and t.
220
Let q(y) = -y**2 + 7*y. What is the smallest common multiple of 5/(-2)*((-190)/(-25) - 8) and q(5)?
10
Suppose -3*z = -2 - 4. Suppose 2*k - 5*f = 23, z*k - 4*k = 2*f - 30. Find the common denominator of k and (6/(-45))/(12/504).
5
Let h = -72 - -218/3. Calculate the common denominator of h and 15/9*(-135)/(-72).
24
Let f be (15/12)/(3/(-12)) + 2. What is the common denominator of f + (-2)/40*-58 and -57/7?
70
Let w = -62 - 58. Find the common denominator of (-1134)/w*12/14 and 1.
10
Let s = 15/3857 - 405375/100282. Find the common denominator of s and 97/92.
1196
Let n(l) = -l**2 - 3*l + 13. Let b be n(-7). Calculate the common denominator of (-29)/((15/(-4))/(b/40)) and 14/(-18)*102/4.
30
Suppose 0 = -7*c + c + 192. Let x = c + -20. What is the least common multiple of x and 7?
84
Let s = 149 + -39. What is the lowest common multiple of s and 110?
110
Suppose 4*h - 31 = -4*a + 5, -a - 21 = -5*h. Let p = -3 + h. Calculate the smallest common multiple of p and 2.
2
Suppose 0 = -3*u - 5*c + 112, u - c = -u + 92. Calculate the lowest common multiple of u and 76.
836
Suppose 0*y = -2*y + 12. Let r(z) = z**2 + 2*z - 1. Let i be r(-3). Suppose -s = -20 + i. Calculate the smallest common multiple of s and y.
18
What is the common denominator of 2/3 and ((-73)/27)/(5*(-20)/150)?
18
Let b(f) = 160*f - 1. Calculate the least common multiple of b(1) and 1.
159
Let t = -157 + 161. What is the least common multiple of t and 61?
244
Let z = 3263/3 + -1077. Let i = -1/1420360317 - -7793990516371/5046540206301. Let n = i + 1/969. Find the common denominator of n and z.
33
Let f = -1 - 1. Suppose 3*y - 6 = 9*y. Let l = y - f. Calculate the lowest common multiple of 17 and l.
17
Let s = -1 - -83. Suppose 6*b = 5*b + s. What is the lowest common multiple of b and 4?
164
Suppose 5*u + 2*s - 750 = 0, -19*s + 600 = 4*u - 16*s. Calculate the smallest common multiple of u and 180.
900
Suppose -6*p = p + 7. Calculate the common denominator of p + (-315)/(-40) - (-3 - 0) and -41/12.
24
Suppose 4*m - 3*j = -5*j - 488, j = -5*m - 610. What is the common denominator of -7/18 and 4/(-12)*3*m/(-6)?
18
Let h = -117151/16440 - -2/2055. Let i be 0/(-1) + (-213)/(-12). Let l = -19/12 - i. What is the common denominator of l and h?
24
Calculate the smallest common multiple of (-2)/1 + 12/3 - -4 and 39.
78
Find the common denominator of 34/(-90) - (-88)/(-220) and -2/81.
81
Let p = 86 + -55. Let a = -20 + p. Suppose -5*v + 3*v = -2. Calculate the smallest common multiple of a and v.
11
Let d = -2/4043 + 97042/20215. Calculate the common denominator of d and 51/16.
80
Suppose -2*k - 5*c - 5 = 0, -2*k + 4*c = 2*k - 32. Suppose 0 = v - 3 - 12. Suppose 2*p - 37 = v. What is the lowest common multiple of k and p?
130
Calculate the lowest common multiple of 40 and (-1)/((-18)/16 + -1 + 2).
40
Suppose 7*o - 2*o - 40 = 5*l, 3*o = -4*l - 4. Suppose 0 = 3*s + 3*q + 3, 2*s + o = -q - 1. Find the common denominator of -131/18 and ((530/s)/(-5))/1.
18
Suppose -114 - 150 = -8*d. Suppose 0 = c + 3*k - 10, -36 = -3*c - 3*k - 6. Calculate the smallest common multiple of c and d.
330
Let i be 2/3 + (1506/90 - 4). Let q = i - 1517/105. Calculate the common denominator of -18/5 and q.
105
Calculate the common denominator of -81/8 and (-1260)/(-8)*(-20)/(-3480).
232
Let v = -35993/2 + 18922. Let p = 909 - v. What is the common denominator of 89/8 and p?
8
Suppose 5*i + 2*h = 456, -3*i + 8*h = 6*h - 264. Calculate the lowest common multiple of 30 and i.
90
Let q = -27 + 929/38. What is the common denominator of q and 5/76?
76
Let b = 1566/7 + -46469/210. What is the common denominator of b and 149/(-30) - (0 - 0)?
30
Let u = -6 - -1. Let l be 1/u*1054325/(-90). Let o = l + -2342. Calculate the common denominator of -31/14 and o.
126
Let h = -670136/4874121 - 2/25789. Find the common denominator of -71/210 and h.
1890
What is the common denominator of (-146)/(0 - 2)*42/84 and -51/44?
44
Suppose 0 = 3*s - 1270 + 226. Let j = s - 193. Suppose 0 = -6*l + j + 337. What is the lowest common multiple of l and 12?
492
Let f = 27 - 11. Let t(j) = 3*j**2 + 18*j + 6. Calculate the least common multiple of t(-6) and f.
48
Calculate the common denominator of (3/(-45))/((-6)/745) and (-7063)/308 - (-2)/11.
36
Suppose 0 = -4*f - 0*f + 32. Let z be (-2)/3*(-60)/f. Suppose 3*n + 14 = z*n. Calculate the lowest common multiple of 2 and n.
14
Let v = 67 - 79. Find the common denominator of ((-286)/v - 1) + 15/(-30) and -32/9.
9
Let g = 1710/311 + 1/622. What is the common denominator of -43/106 and g?
106
Suppose -2*p + 47*a = 46*a - 23, 2*a = 10. Suppose 254 = 3*h + 56. What is the lowest common multiple of p and h?
462
Let s = 7618/1655 + -1/331. Find the common denominator of s and 17/5.
5
Let m = 49623/10 + -4957. Let g = 367/12 - 119/6. What is the common denominator of m and g?
20
Let y be -3 - 3/(6*1/2). What is the least common multiple of ((-30)/y)/(2/(-4) - -1) and 30?
30
Let n = 47467/90 + -2574/5. Let m be 10/15 - 22/72. Let b = m - n. Calculate the common denominator of b and -26/11.
44
Suppose -y - 5*g + g = -23, -2*y + 3*g - 9 = 0. Suppose -6*k + y*k = -4731. Let x = 3081/2 - k. Find the common denominator of -73/6 and x.
6
Let t(d) = 8*d + 17. Let j(n) = -16*n - 33. Let q(w) = -4*j(w) - 9*t(w). Calculate the smallest common multiple of 21 and q(-4).
231
Let f = -247/4 + 62. Find the common denominator of f and 6/1 - ((-1251)/(-126) + 1).
28
Let n be (-1545)/(-1)*(-6)/(-18). Let p = -1081/2 + n. Calculate the common denominator of p and (-8)/10*20/(-7).
14
Suppose -4*t + 2*o = -o - 166, -5*o + 110 = 3*t. Calculate the least common multiple of 6 and t.
120
Let m = 0 - -1. Let z be (-8)/(-6) + (-2)/6. What is the least common multiple of (6 - z) + 1/1 and m?
6
Let s(h) = h**3 + h**2 - 3*h. Let d = 1286/207 - 102/23. Calculate the common denominator of s(-3) and d.
9
Let o(h) = h**2 + 4. Let p(v) = 5*v**2 + 20. Let w(f) = 11*o(f) - 2*p(f). What is the lowest common multiple of w(-2) and 4?
8
Let g = -336765/44168 - 2/5521. What is the common denominator of g and 37/8?
8
Let z = 3851/7 - 553. Let f = z + -23/112. Find the common denominator of -73/30 and f.
240
Suppose -2*k = 2*o - 8, 0 = k + 3*k - o - 11. Suppose k*f = 29 + 4. What is the common denominator of f and -46/7?
7
Let b = -37274581457/16116560 - -2/1007285. Let r = b + 2318. Calculate the common denominator of r and -97/16.
16
Let z = -10/471 - -9572/406473. Let s = -45747/3452 + z. Find the common denominator of s and ((-747)/(-45))/(44/(-10)).
44
What is the smallest common multiple of (152/(-76))/(2/(-60)) and 60?
60
Let y = 2 + 2. Suppose 13*f = 11*f + y. Suppose -6*r = -2*r + 12, 3*r + 63 = f*g. What is the common denominator of g and -14?
1
Let c = 1064/11 - 95. Find the common denominator of ((-15)/63)/(5/(-27)) and c.
77
Let g = -527 - -14209/27. Find the common denominator of 113/54 and g.
54
Let l = -4 + 8. Let p = -5 + l. Calculate the common denominator of -41/4 and p/14*9 + 1.
28
Let q = -1265/6 - -212. Find the common denominator of -50/177 and q.
354
Let h = 51/23 + -2/115. Let p be 7/((-1785)/12)*(-2)/20. Let d = -5529/