40, -3*d = 5*t - 40. Suppose 3*g - 14 = -2*z, 4*z - d*g + 2 - 8 = 0. What is the smallest common multiple of z and 2?
4
Calculate the common denominator of (-137)/84 - (2 + 1)/(-12) and -13/7.
21
Suppose 9 = -r + 4*r, 3*p - 9 = -4*r. Let d be 1 - (-8 + 2/p). Let g = d - 8. What is the least common multiple of g and 10?
30
Find the common denominator of -39/8 and 2*15/(-40)*154/3.
8
Let d = -24 - -115/2. Calculate the common denominator of -47/16 and d.
16
Let v = -14 - -23. Let g be (2 + 1)*(-12)/(-9). Suppose g*z = -z + 20. Calculate the least common multiple of z and v.
36
Let w = 13 - 12. What is the lowest common multiple of 22 and (-27)/(w - (-5)/(-2))?
198
Let q be 32471/4 - 1/(-4). Let o = q - 89383/11. Let t = -967/44 - o. What is the common denominator of 49/2 and t?
4
What is the lowest common multiple of 5 and (-4 - -2)/(1/(-5))?
10
Suppose 4*y - 5*n = -4*n + 25, 2*y + 5*n = 7. Let k(a) = 2*a**2 + 3*a. What is the smallest common multiple of k(-2) and y?
6
Let t be 3 - 3/9*0. Suppose -t*w - 3*j + 24 = 0, -3*w + 5*j = -2*w - 26. Calculate the smallest common multiple of w and 5.
55
Let q be 30/12*(-1 + 3). Suppose 3*i = -q*h + 3378 + 824, i = 2*h + 1419. Let c = i + -8423/6. Calculate the common denominator of 63/8 and c.
24
Suppose 0 = 4*n - n - 6, 3*q + 2*n - 40 = 0. Calculate the least common multiple of q and 42.
84
Suppose y - 48 = -3*y. Suppose -5*b = -2*f - f - 86, 5*b + 2*f - 76 = 0. Calculate the lowest common multiple of y and b.
48
Let x be ((-4)/30)/((-35140)/2642089335). Let i = -647/8785 + x. Let d = 10031 - i. What is the common denominator of 39/2 and d?
14
Let g = -38 + 56. Calculate the smallest common multiple of 24 and g.
72
Let c = 2601/620 - -3/620. Find the common denominator of c and 39/5.
5
Let m = -15 - -20. What is the smallest common multiple of 10 and m?
10
Let p be (-3)/5 - (-208929)/240. Let i = 867 - p. What is the common denominator of 81/4 and i?
16
Let w(g) = -2*g - 21. Suppose -b - 2 = -0*b. Let y = 0 - b. What is the least common multiple of w(-12) and y?
6
Let o be 3/(-9) + 496349/(-292). Let g = o - -19752/73. Let z = -1428 - g. What is the common denominator of z and 77/12?
12
Let w = 8 - 6. Suppose 0*i + 30 = 3*i. Calculate the least common multiple of i and w.
10
Let a be 2 + (1 - -18)/(-1). Let r = 25 + a. What is the smallest common multiple of 8 and r?
8
Suppose 2*m = 9*m - 42. What is the smallest common multiple of 1 and m?
6
Let v = -166/33 - -2677/132. Calculate the common denominator of v and (-10)/(-24)*(-532)/(-30).
36
Let i(f) = f**3 + 6*f**2 + f + 7. Let h be i(-6). Suppose 5*n - 51 = g + 44, 50 = 2*n + 2*g. What is the smallest common multiple of -1*(0 - h) + 3 and n?
20
Let k = 7 - 21. Let x = k - -38. Calculate the lowest common multiple of (-6)/(-4)*(-640)/(-48) and x.
120
Let z(j) = -j - 1. Let l be z(-2). Suppose -3*q + 4 = l. Let b(r) = 3*r - 5. Calculate the smallest common multiple of b(5) and q.
10
Let m = 1005391/496 + -2027. Let c = m + 20587/1488. What is the common denominator of c and -89/16?
48
Let g = 374 + -4118/11. Calculate the common denominator of -53/8 and g.
88
Let n = -1/227 - 4303/2270. Find the common denominator of (-314)/(-36) + 2*2/(-12) and n.
90
Suppose -29 = -2*r - 691. Let g = -1642/5 - r. What is the common denominator of 85/6 and g?
30
Suppose -17 = -4*m - 5. Suppose -m = q - 11. Let j(z) = -z + 8. Calculate the least common multiple of q and j(6).
8
Let r = -221 - -356. Calculate the lowest common multiple of 11 and r.
1485
Suppose 5*m + 2*f = 45 - 3, -m - 3*f = -11. What is the least common multiple of m and 3?
24
Let d = 12748/5 + -2500. Let q = 4023/80 - d. Calculate the common denominator of -23/12 and q.
48
Suppose 3*s = 0, -48 = 4*q - 7*q - s. Let g = 11 + -7. Calculate the least common multiple of q and g.
16
Suppose -2*h - 3*p + 53 = 0, -3*h - p + 74 - 5 = 0. Suppose 2*f = 3*f - h. Calculate the least common multiple of f and 16.
176
Let u = 7666/3 - 2493. Let c = u + -3043/48. Calculate the common denominator of c and 11/2*66/(-54).
144
Let g(b) = -b + 16. Let d be g(7). Let o be 4/18 + (-191)/d. Let j = o - -29. Calculate the lowest common multiple of 14 and j.
56
Let x = 4987/6 + -837. Calculate the common denominator of -93/10 and x.
30
Let n = 15 + -9. Suppose -3*g + 30 = 2*v + 10, -4*g = 5*v - 64. What is the smallest common multiple of n and v?
48
Let t = -20045/11 + 1821. Calculate the common denominator of t and -1 + 94/(-18)*1.
99
Let h = -22 - -28. What is the lowest common multiple of (-5)/(-3) + (-2)/(-6) and h?
6
Suppose 1 = 5*p - 9. Calculate the common denominator of 97/6 and ((-60)/56)/(p/21).
12
Suppose -6*z + z - 29 = -4*l, 0 = -l - 4*z - 19. What is the smallest common multiple of 14 and (1 + 1)*4*l?
56
Let x = -497 + 2451/5. Calculate the common denominator of 97/4 and x.
20
Suppose -5*p - 5 = -5*o, -4 = -4*p - 2*o - 2. Let c = p - 7. Let s = c - -13. Calculate the smallest common multiple of 7 and s.
42
Let u be (-5)/6 + 1/(-6). Calculate the common denominator of 62/5 and -3 - u - 34/12.
30
Let q(l) = l**2 - l - 4. Let d be q(3). Let k(g) = -g**2 + 3*g + 4. Let t be k(4). Let w = d - t. What is the lowest common multiple of w and 4?
4
Suppose -2*t - 338 - 136 = 0. Find the common denominator of -19/22 and -1 + t/(-54) + 0.
198
Suppose -3*h = -2*b - h + 5958, -2*h + 8927 = 3*b. Let d = b - 26825/9. Find the common denominator of 22/9 and d.
9
Let y(d) = 12*d**2 - d - 1. Let i be y(-1). Suppose 2*q = -2*j + i, 2*q - 4*j = 4*q - 6. Let c = -1 + q. Calculate the smallest common multiple of 12 and c.
24
Suppose 2*m - 17 = -d + 5, 2*d + 3*m - 42 = 0. What is the lowest common multiple of 9 and d?
18
Let c be (4398/8)/(3/2). Let b be 386*(3 + (-4 - 0)). Let k = c + b. Calculate the common denominator of -69/4 and k.
4
Suppose 0 = -y - k + 9, -2*k + 1 = -5*y + 25. Calculate the lowest common multiple of y and 20.
60
Suppose 0 = 5*o - 7 - 18. Suppose -2 = 4*d - o*z, -4*d - 4*z = -13 - 3. Calculate the smallest common multiple of 18 and d.
18
Let k(y) = -y**2 - 6*y. Let b be k(-3). Suppose -r - 2*d + 6 = -0, b = -r + d. Find the common denominator of -7/8 and (-1)/((-1)/(97/r)).
8
Let o = 21 + -11. Find the common denominator of 326/40 - o/5 and (9/2)/(6/14).
20
Let m(t) = 3*t + 2. Let x be m(-5). Find the common denominator of 39 and (-1137)/130 - (-2)/x.
10
Suppose 5*a + 5 = 0, 7 = s - 2*a + 4. What is the least common multiple of 5 and s?
5
Let z(s) = -s**2 - 10*s - 12. Let h = -11 + 5. What is the lowest common multiple of 8 and z(h)?
24
Suppose 3*h = 9, -3*n + 4*h = 2*n - 33. Calculate the smallest common multiple of n and 13.
117
What is the common denominator of (393/27)/((-8)/12) and 41/2?
6
Suppose -2*i = -5*l - 255, 4*i - 5*l - 157 = 368. What is the common denominator of -75/2 and 3/4*1314/i?
10
Let h(d) = d**2 - 3*d - 3. Let m be h(6). Suppose -4*y = y + 40. Let v = m + y. What is the smallest common multiple of 8 and v?
56
Suppose -19*g + 918 = -2*g. What is the lowest common multiple of g and 22?
594
Suppose 0*g + g + 1 = 0. Let d be g*(2 + -1 - -23). Calculate the common denominator of 101/22 and (-2)/d*711/(-12).
176
Suppose 2*c = 3*c + 5. Find the common denominator of 9/8 and 5*(-2 - c)/36.
24
Let b = -22 - -70. Calculate the lowest common multiple of b and 22.
528
Let b(r) = r**3 - 3*r**2 - 9*r + 3. What is the smallest common multiple of b(5) and 16?
16
Let u be (2/(-1) - -4) + 3. Let v be (u - 6/2) + -1. What is the smallest common multiple of 10 and (v/(-4))/(4/(-16))?
10
Suppose 0*f - 5*f = -15. Suppose 0 = -f*q + 11 + 22. What is the least common multiple of q and 5?
55
Let w = -96/59 + -2579/1062. What is the common denominator of 133/6 and w?
18
Let a(c) = 4*c**2 - 3*c - 2. Suppose 7 = 3*h + 1. Suppose 0 = -2*g - h*n + 5 + 3, 0 = 5*g - 5*n. What is the lowest common multiple of g and a(-2)?
20
Suppose 0 = -n - 3*c + 8 + 10, -5*c = 4*n - 37. Calculate the smallest common multiple of n and 5.
15
Let f = -16 + 37. Let s(v) = 11*v - 4. Let n be s(-2). Let t = f - n. Calculate the common denominator of -8 and t.
1
Let j(g) = g**3 + g**2 - g + 50879940. Let o be j(0). Let m = -11193565701/220 + o. Let k = m - 1116/11. Find the common denominator of -65/4 and k.
20
Suppose 17 + 9 = 3*j + 2*x, 0 = j +