((-1166)/3482) - -3. Let l = 50705/1166 + v. Calculate the common denominator of (-4)/(-6) - 107/6 and l.
6
Suppose 0 = -3*i - n + 3, 8*n + 15 = 3*n. Calculate the common denominator of -19/36 and -89*(7/i - 4).
36
Let u = 11239/8 - 1402. Let f = 20721343/650 + -338218/13. Let i = f + -5864. Find the common denominator of i and u.
200
Let v(i) = -22*i + 4. Let w(c) = c**3 + 9*c**2 + 9*c + 9. Calculate the lowest common multiple of w(-8) and v(-2).
48
Let r = -66/3257 - 14584648/9771. Let n = -1480 - r. What is the common denominator of n and 85/18?
18
Let g be 6*(-3)/6 - 74702/32. Let f = -2336 - g. What is the common denominator of 85/16 and f?
16
Let k = 19/326 + 6497/1793. Suppose 140 = 4*m - 4*v - 92, 4 = 2*v. Calculate the common denominator of 679/m - 2/5 and k.
132
Let w be ((-4076)/24)/(3/9). Let d = w - -498. Calculate the common denominator of 71/39 and d.
78
Suppose 5*k - a - 1530 = 0, 5*k - 2*k - 918 = -a. Calculate the smallest common multiple of k and 20.
3060
Let m(j) = j**3 - 11*j**2 - 24*j + 15. Find the common denominator of m(13) and 47.
1
Suppose 0 = -8*w + 13*w - 315. Let z = 93 - w. Calculate the least common multiple of 30 and z.
30
Let q = -17/54 - -467/540. Calculate the common denominator of 107/70 and q.
140
Let p = 27479 + -1703633/62. Find the common denominator of 7/(-28)*(-28)/(-16) and p.
496
Let z be 16103/(-12) + (-8)/(-12). Let q(y) = 21*y**3 + y + 6. Let g be q(4). Let f = g + z. Find the common denominator of f and 63/4.
4
Suppose 0 = -8*s + 58 + 182. Let j = 11 - 5. What is the lowest common multiple of s and j?
30
Suppose -44 = 2*d - 4*d. Let a = d + -19. What is the smallest common multiple of 9 and ((-4)/a)/(6/(-9))?
18
Let n(r) = -52*r + 262. Calculate the smallest common multiple of 373 and n(5).
746
Suppose 0 = 14*f - 18*f + 168. Suppose 0 = -4*u + f + 118. What is the common denominator of -87/16 and 14/(-28) + 18/u?
80
Let d(r) = 76*r - 1. Let g be d(2). Let u = -1507/10 + g. Find the common denominator of u and (-258)/(-224) - 2/(-7).
80
Suppose 0 = 2*w - 5 - 37. Let s = 39 - w. What is the lowest common multiple of 20 and s?
180
Suppose 0 = 5*v - 15, -4*o + 6*v + 105 = v. What is the smallest common multiple of o and 12?
60
Let d = 43 - 39. Suppose 0 = -d*f + 11 + 37. What is the smallest common multiple of f and 21?
84
Let l(s) = s - 8. Let f be l(4). Let g(w) = -4*w - 6. What is the least common multiple of g(f) and 4?
20
Let x = -973703/260526 - 4/6203. Calculate the common denominator of x and -61/14.
42
Let u(b) = b**2 - b - 3. Let l = 132 + -129. Calculate the lowest common multiple of u(4) and l.
9
Suppose -3*l + 7*l - 44 = 0. Let z be 1/(24/23 - 1). Suppose 4*h = h + d + z, 5*h + 4*d = 27. What is the smallest common multiple of l and h?
77
What is the common denominator of 15/22 and (-873)/(-1020) - (-7)/((-210)/12)?
748
Let u = 323 + -319. What is the smallest common multiple of 6 and u?
12
Let q(y) = 3*y**2 + 3. Let u be q(2). Calculate the common denominator of -2/33 and ((-2)/u)/((-11)/200).
33
Let t(b) = -6*b - 5. Let p be t(-2). Let j(d) = -d**2 + 9*d. Let u(k) = -7*k - 1. What is the lowest common multiple of u(-3) and j(p)?
140
Let x be 3*2 - 8/(1 + 1). Suppose -x = 4*t - 78. Calculate the lowest common multiple of t and 6.
114
Let y be -2 + 10 + (-9)/3. Suppose -4*t - 26 = 2*j - y*j, 3*j - t - 38 = 0. Let f = 20 - 14. Calculate the least common multiple of f and j.
42
Let u(l) = l**2 + 27*l + 8. Calculate the least common multiple of u(-27) and 1176.
1176
Let g be -3*1*(-110)/33. Suppose -2*w = 2 + g. Find the common denominator of 68/(-3) - (-3)/w and 5/12.
12
Let o be 24*(6/(-12))/(6/(-20)). Calculate the least common multiple of 22 and -7*(o/14 - 4).
88
Let j be (8/(-6))/((-38)/(-105)). Let c = 21121861/114 + -185275. Let a = c - j. What is the common denominator of a and -97/8?
24
Suppose -3 = -2*y + 4*m - m, y - 5*m + 9 = 0. Let g(t) = 2*t**2 - 11*t + 12. What is the smallest common multiple of g(y) and 42?
126
Let c(q) = 6*q**2 + 99*q + 386. What is the smallest common multiple of 2 and c(-4)?
86
Let y(p) = p**2 + p + 4. Let w be 114/(-22) + (-16)/(-88). What is the least common multiple of 33 and y(w)?
264
Suppose 4*p = -4*c - 4, c = -3*p + 5*c + 11. Calculate the lowest common multiple of p and 1155/66*4*(-1)/(-14).
5
Suppose -130 = -2*c + 7*c. Calculate the common denominator of ((-72)/(-54))/(c/(-35)) and -65/2.
78
Suppose 5*z + 4*n - 28 = z, n - 39 = -5*z. What is the least common multiple of z and 10?
40
Let i = 167/7 - 20. Calculate the common denominator of i and 89/352.
2464
Let p = -7 - -48. Suppose -3*r + 0*r = 6, -5*g + p = -3*r. Calculate the lowest common multiple of 1 and g.
7
Suppose -4*a - 11 = a + 3*u, -8 = 4*u. Calculate the least common multiple of (0 + 1 - a) + 5 + -6 and 14.
14
Let i = -33113311/38274 + -13/6379. Let s = i - -863. Let d = 3338/3 + -3307/3. Calculate the common denominator of s and d.
6
Let m = -38521/680 + 966/17. What is the common denominator of m and 149/72?
360
Let s = -5 - -73. Let a be (-1)/(-3)*(-9)/(-1). What is the least common multiple of (a/9)/(1/30) and s?
340
Suppose -v - 5*z = -0*v + 10, -4*v - z = -55. Let x = -1047 + 1059. Calculate the smallest common multiple of v and x.
60
Let r be (21984/(-909) - -2) + -1. Let x = -15/101 + r. Let b = 6/167 - -3149/668. What is the common denominator of x and b?
12
Let j(p) = 3*p + 23. Let z be j(-13). Let c = z + 21. What is the lowest common multiple of c and 1?
5
Let a = 469/10 - 2203/45. Find the common denominator of a and -149/48.
144
Let k(d) = d**2 - 3*d + 8. Suppose -10*x + 5*x - 1 = -4*c, 3*x - 21 = -3*c. What is the lowest common multiple of 4 and k(x)?
8
Suppose 22*v - 53 = 13. Calculate the lowest common multiple of 11 and v.
33
Let t = -21 + 1. Let b be (1/(-4))/((-226)/t). Let v = b + 1985/339. Find the common denominator of v and 83/6.
6
Let x be (5/40)/((-4)/70363). Let b = 2198 + x. Calculate the common denominator of b and 7/8.
32
Let n = 101/146 + -5111/8760. Find the common denominator of -1/36 and n.
360
Let x(s) = 46*s + 720. Calculate the least common multiple of x(-15) and 2/(-6) + (-31)/(-3).
30
Let b = -43 - -116. Suppose 0 = -3*p - 2*w + 38, w - 6*w = -3*p + b. Let f = -56 - -86. Calculate the lowest common multiple of f and p.
240
Let v = 106 + -114. Let l(n) = -n - 2. Calculate the smallest common multiple of 5 and l(v).
30
Find the common denominator of 24/6 - (0 + (-310)/(-24)) and 47/24.
24
Suppose -3*m = -5*b - 366, -5*m + b = 171 - 759. What is the lowest common multiple of 39 and m?
117
Suppose -9 = -d + 4*c + 51, -2*d - 3*c = -142. Calculate the least common multiple of d and 16.
272
Let m(o) = 2*o - 9. Let i be m(7). Let t = -9 + i. What is the lowest common multiple of 7 and 3 - 1 - (2 + t)?
28
Suppose -241*g = -230*g - 66. Let p(j) = 26*j**3 + j - 1. Calculate the least common multiple of g and p(1).
78
Let l(z) = -26*z**2 - 2*z + 4. Let t be l(-6). What is the smallest common multiple of t/(-15) - (-4)/6 and 4?
124
Suppose -7599 = -5*u + 4*j, -3*u + j + 1519 = -2*u. Suppose -5*h - u + 308 = 0. Calculate the common denominator of -3 - 9/(h/168) and 95/8.
72
What is the common denominator of 139/72 and (-2)/(-1 - 1) + (-4183)/5640?
360
Let j = -386 - -389. Calculate the lowest common multiple of 15 and j.
15
Let n(c) = 14*c + 353. Suppose -5*u + 5 = k, -3*k = u + 2*k + 23. Let l(p) = 2*p**3 - 2*p**2 - 1. What is the smallest common multiple of n(-25) and l(u)?
21
Let l(x) = 10*x - 76. What is the lowest common multiple of 72 and l(14)?
576
Calculate the lowest common multiple of 12 and 96*(-9)/144*-4.
24
Let g(n) = n**3 + 7*n**2 - 7*n + 6. Let y be g(-8). Find the common denominator of y/(-6) + (-86)/(-6) and -1 - (152/126 + (-20)/(-35)).
9
What is the common denominator of 23/18 and 11/((-726)/(-341))*(-3)/1?
18
Let s = -2601/2 - -1259. What is the common denominator of (2180/280)/((-6)/7) and s?
12
Calculate the least common multiple of 25/(-25)*((-6)/3 + -238) and 24.
240
Let n(a) = -a**2 - 8*a - 6. Let v(u) = u**3 - 5*u**2 + 3*u - 2. Let x be v(2). Let w be 46/x - (-6)/8. What is the smallest common multiple of n(w) and 5?
45
Let h be 28/7 - (-49)/(-1). What is the common denominator of 52/9 and (-18)/h + (-104)/(-15)?
9
Let n = -185 