*x + 3*m - m = -12. Suppose -4*d = 3*c + x, 0*d - 5*d = c + 9. Calculate the smallest common multiple of c and 6.
6
Let f = 146971/14 - 10505. Let p = -3553 - -1807. What is the common denominator of f and p/180 + 2*2?
70
Let m = 0 + -2. Find the common denominator of (14/10)/(m/8) and ((-111)/(-6))/((-10)/(-4)).
5
Let s = 13671 - 6366. Let c = s + -131341/18. What is the common denominator of 2/(-8) + 110/(-32) and c?
144
Suppose 3*y + 2*a = 58, -5*y = -a - 30 - 84. Calculate the lowest common multiple of y and 90.
990
Suppose 5*o - 1860 = o. Suppose 0*q = 5*q + 5*r - o, 3*r = 9. Let f = q + -64. Calculate the least common multiple of f and 22.
286
Find the common denominator of (-4 + -1)*1 - 938/(-120) and -103/102.
1020
Let z(o) = -5*o**3 + 3*o + 2. Let k = 9 - 10. Suppose 0*x = x - 10. What is the least common multiple of z(k) and x?
20
Calculate the smallest common multiple of (28/12 + 2/3)*4 and 10.
60
Let p = -24278 + 1942361/80. What is the common denominator of 43/30 and p?
240
Let f be 4/1 + -1 + 2. Suppose 0 = -9*v - 8*v + 17. What is the smallest common multiple of (f + 1)/3*v and 4?
4
Suppose -56316364766 - 6746872804 = 5*a. Let c = a + 558248391490680/44261. Let z = c + 2/6323. Calculate the common denominator of -46 and z.
7
Let q be (-48376)/32*58/(-8). Let m = q + -10965. Calculate the common denominator of m and (-2)/(-7) + (-247)/(-140).
80
Let w(r) = 2*r - 2. Let d(c) = 22*c - 1. Let b be d(-1). Let q = b + 25. Calculate the smallest common multiple of 12 and w(q).
12
Suppose v = -v + 30. Let o be 74/3 - 2/(-6). Let g = o - 17. Calculate the lowest common multiple of g and v.
120
Let y be 18795/88 + 6/60. Let k = y + -2359/11. What is the common denominator of -65/6 and k?
120
Let n = 86/1759 + -643841/36939. Let f = n + 61/7. Find the common denominator of f and -23/30.
30
Suppose 0*t + 2*t - 10 = 0. Suppose 0 = -3*l + 4*f + 1569, 2*f = -l + t*f + 523. Let x = -9479/18 + l. What is the common denominator of x and -99/20?
180
Let a(h) = h**3 - 4*h**2 - 2*h + 7. Let u be a(4). Calculate the common denominator of (-2)/(-6) - u*956/120 and 1/(-2) + (-46)/(-5).
10
Suppose 228*f = 219*f + 162. What is the smallest common multiple of f and 72?
72
Suppose 0*f + 4*f + 8 = 0. Let y(z) = -z**3 + z**2 + z - 1. Let o = -125 + 136. What is the smallest common multiple of y(f) and o?
99
Let d = -98 + 104. Suppose 2*h = 4*u + 32, -2*u = 3*h - 5*u - 54. What is the smallest common multiple of h and d?
60
Let d = 1471 + -7383/5. Find the common denominator of -107/10 and d.
10
Let r be 7*361 + (-6 - -6). Let z = r - 25183/10. Find the common denominator of z and -1/30.
30
Let n = 3011/11 + -274. Calculate the common denominator of n and (-414)/(-45) + (-2)/(-5).
55
Let r = -100317831/149 + 3619238685133/5375622. Let u = r - 4/2577. What is the common denominator of -59/6 and u?
42
Suppose -d + 23 = -20. Let m(j) = -17*j + 3. Let a be m(2). Let n = a + d. Calculate the least common multiple of 3 and n.
12
Let x = -143/108 + 68/27. Calculate the common denominator of -113/30 and x.
180
Let a be (-862)/(-26) - (-24)/(-156). Suppose -7*u = -a - 23. Calculate the smallest common multiple of 10 and u.
40
Let x = 7894 - 347321/44. Calculate the common denominator of x and 89/88.
88
Let f = -80661/16 + 5039. Let n = -11/6 + 1. What is the common denominator of f and n?
48
Let t be 3*1 - (-6 + -4806). Let o be -1 - (2 - 192898/40). Let k = t - o. Calculate the common denominator of k and 93/10.
20
Let f = 676 + -649. Calculate the least common multiple of 36 and f.
108
Calculate the smallest common multiple of (8/(-3))/(1/(-3)) and -1*2/8*-4.
8
Suppose -2*y + 6*y = 60. Let q = y + -9. Suppose -16*l + 22*l = 36. What is the lowest common multiple of l and q?
6
Let v(u) = u**2 + 4*u + 12. Let b be v(-4). Find the common denominator of -103/40 and 119/b - (-8)/(-4).
120
Let h be (0 - 1) + -1 + 4254/(-180). Let i = 1304/3 - 450. Let f = h - i. Calculate the common denominator of -13/12 and f.
60
Let s(b) = 2*b**2 + 4*b + 6. Let a = 1 + -6. Let t be s(a). Find the common denominator of -71/18 and 4/4 - 182/t.
18
Let g(s) = 3*s**3 - 36*s**2 + 3*s - 26. What is the least common multiple of 276 and g(12)?
1380
Let n = -2/72547 - 362727/290188. Let u = -96467/9130 + 840/83. What is the common denominator of n and u?
220
Let w(d) = -d**2 - 10*d + 7. Let c be w(-9). Suppose -5*h - c = -66. What is the smallest common multiple of 22 and h?
110
Suppose -7*n + 136 = 27*n. Calculate the smallest common multiple of n and 18.
36
Let s = 817345/146 + -5598. What is the common denominator of s and 187/30?
2190
Let u(r) = 9*r**2 + 2*r + 1. Suppose 6*c = -6 - 0. What is the smallest common multiple of u(-1) and 2 - (1 - c) - -4?
8
Suppose 2*d + 3*v - 8 = 0, -2*v - 2 = -2*d + 16. Suppose u - 20 = -d. Calculate the common denominator of 8 and u.
1
Let y = 270 - 268. What is the lowest common multiple of y and 6?
6
Let r = 434/5 - 1093/10. Calculate the common denominator of r and 217/(-420) - (1 - 5/3).
20
Suppose -62*g = -52*g - 660. What is the least common multiple of g and 48?
528
Let z be (6/5)/(1/10). Suppose -f + 4*h + 23 = 4*f, 0 = h + 2. Suppose -f*c - z = -42. Calculate the smallest common multiple of 7 and c.
70
Let c be (-4)/(-7) + (-631836)/160160. Let j = c - 1/715. Find the common denominator of -33/10 and j.
40
Suppose -9 - 1 = 5*c. Let b be -4 + (-2)/c + 3. Suppose b = -5*o + 9 + 11. What is the lowest common multiple of o and 22?
44
Suppose -7*i + 210 = -210. What is the least common multiple of i and 2?
60
Suppose 8*w - 10*w = -64. Let n = w + 3. What is the common denominator of 9/6 + 118/8 and n?
4
Let b(q) = -q**3 + 1. Let x be b(-2). Suppose -2*d = -5*v - 0 - 3, 3*d = 3*v + x. What is the common denominator of -21/2 and v/(2 + (-327)/159)?
6
What is the common denominator of -12/31 and (-396)/(-28) + (-6)/42?
31
Suppose -867 - 885 = -3*w. Suppose 0*i + w = 4*i. What is the common denominator of 85/6 and 3/6 - i/44?
66
Let b = 93 + -94. Suppose -4*l - 28 - 3 = -5*y, -8 = 2*l. Calculate the common denominator of 93/2 and b - y/((-54)/(-93)).
6
Suppose -18*h = -19*h - 178. What is the common denominator of ((-250)/(-24))/((-6)/(-4)) and h/32*1/1 + 2?
144
Let t be (-58*1/8)/(1/(-8)). Let o = t - 52. What is the lowest common multiple of 7 and o?
42
Suppose -20 = -5*g - 2*c, c + 6 + 5 = g. Let j be 7/(-14) + g/4. Suppose z - j = 10. What is the lowest common multiple of 11 and z?
11
Let a = -37 - -53. Suppose -4*i = 4, -47*i + 48*i = -2*h + 23. Calculate the least common multiple of a and h.
48
Suppose 2*l + 4*m - 6 - 18 = 0, -2*l + 19 = 3*m. Find the common denominator of -20/17 and (66/(-20) - l) + -1.
170
Let k(g) = 11*g**3 + 4*g - 1. Let a = -13 + 8. Let m(x) = 11*x**3 + 5*x - 1. Let b(c) = a*k(c) + 4*m(c). Calculate the smallest common multiple of b(-1) and 12.
12
Let o(r) = 4*r + 2 - r**2 + 3*r + r - r. Suppose y + 0*y - 12 = -3*q, -q + 2*y = -4. Calculate the smallest common multiple of 14 and o(q).
14
Let g = 18 + 7. Suppose -18*l - 763 = -g*l. What is the smallest common multiple of 4 and l?
436
Calculate the lowest common multiple of 3 and 2/(-24) + 2285/60.
114
Let v = -15429/8 + 1927. Let f = 182227/25830 - -1/1435. What is the common denominator of v and f?
72
Let l = -20 + 36. Let m(g) = 1. Let k(t) = 5*t - 4. Let n(c) = -k(c) - 3*m(c). Calculate the smallest common multiple of l and n(-1).
48
Let a(h) = -2*h**2 - 3*h + 7. Let r(v) = v**3 + v**2 + v + 7. Let n be r(0). Let p be a(n). Calculate the common denominator of (p/(-18) + -2)/(-1) and -16/5.
45
Let k = -477674 - -186293059/390. What is the common denominator of k and -34/45?
1170
Let s(d) = 17*d - 5. Let i be s(-8). Let x = i + 211. Calculate the lowest common multiple of x and 6.
210
Calculate the common denominator of -17/13 and 4 - (7 + 1011/(-246)).
1066
Let p = 202829/111888 + -2/6993. Let y = 105045/44 - 2387. Find the common denominator of y and p.
176
Let q(t) = 13*t**2 + 52*t + 247. Calculate the smallest common multiple of 3 and q(-5).
312
Let j = 25519/8 - 1607359/504. What is the common denominator of j and -21/20?
1260
Let n(a) = -12*a + 2. Suppose -6*u + u + 140 = 0. Find the common denominator of 21/u + 17/100 and n(4).
25
Let f(t) = 5*t**2 - 116*t + 45. Suppose 