. Suppose g*j = j + 20. Calculate the least common multiple of j and 18.
36
Suppose 2 - 4 = w. Let f(n) = 2*n**2 + 3*n + 2. What is the lowest common multiple of f(w) and 22?
44
Let b = -417022/27 - -15448. Calculate the common denominator of -33/7 and b.
189
Suppose 0 = 2*r + 4, -5*x + 5*r - 2*r + 46 = 0. Let l = -4 + 6. Calculate the lowest common multiple of l and x.
8
Let j = -12861/5020 - -51/20. Let c = -12284/1255 + j. What is the common denominator of c and (-9)/(-4) - (-2 + 2)?
20
Let v = -7 - -6. Let u(n) = -6*n + 1. What is the lowest common multiple of u(v) and 6?
42
Let q(j) = -476*j + 2. Let v be q(3). Let m be ((-19981)/(-3))/(28/6). Let u = v + m. Calculate the common denominator of u and 59/10.
70
Let g = -2 - -6. Let k = 6 + -2. Suppose k*u + s + 38 = 115, s + 23 = u. Calculate the least common multiple of g and u.
20
Let i be (-3 - 3)/(1*-2). Suppose -i*v + 7 - 1 = 0. Let b = 1 + v. What is the lowest common multiple of b and 6?
6
Let o = 38/9 - 289/18. What is the common denominator of o and -91/4?
12
Suppose 2*s = 11 + 3. Suppose -5*g + 43 = -12. Calculate the least common multiple of g and s.
77
Let f = -9549 - -4764953/499. Let a = 18447/3992 + f. Calculate the common denominator of -41/20 and a.
40
Let s = -1859824/223 + 8340. Let c = 2963/3568 + s. Find the common denominator of c and -69/4.
16
Let b(y) = -y**2 - 10*y + 12. Let s be b(-9). Calculate the common denominator of -37/9 and s/6*(-180)/28.
18
Suppose 0 = -3*r - 3*l + 33, 5*r - 52 = -0*r - 2*l. Calculate the lowest common multiple of r and (-4)/(-22) - 126/(-33).
20
Let c(h) = -36*h**3 + h + 1. Let r be c(-1). Calculate the common denominator of -9/4 and (12/r)/(20/246).
20
Let p = -4/39 - 838/195. Find the common denominator of p and 20/3.
15
Suppose -5*r = -0*r - 15, 0 = -5*d - 3*r + 79. Suppose -d = -0*x - 2*x. What is the least common multiple of 72/x - (-2)/(-7) and 16?
80
Let x = -189 + 769/4. Let l = x - -31/8. Calculate the common denominator of l and 15/2.
8
Let l = 1958/39773 - -365830406/46892367. Let w = -5/131 - l. What is the common denominator of w and 97/10?
90
Let o(r) = -r. Calculate the least common multiple of 6 and o(-7).
42
Find the common denominator of -57/4 and (-2)/(-6) - 3310/(-420).
28
Let r be 1 - 0 - 6 - -3. Let w be ((-5)/(-10))/(r/(-16)). Suppose y = -2*q + 23, w*q + y - 73 = -28. Calculate the smallest common multiple of q and 5.
55
Calculate the least common multiple of 8 and 15 - ((3 - 3) + 3).
24
Suppose 15 = -3*q - q + m, -8 = q + 4*m. Let d(x) = x**3 + 5*x**2 + 5*x - 1. Let r be d(q). Let h = r - -11. Calculate the least common multiple of h and 14.
42
Let g(q) = 5*q**3 + 5*q**2 - 1 - 4*q**3 + 2*q - 1. Calculate the smallest common multiple of 10 and g(-4).
30
Let a(q) = -5*q + 2. What is the least common multiple of a(-6) and 16?
32
Let v(s) = -9*s**3 - s**2 + 1. Let c be v(1). Let h(u) = u**3 + 9*u**2 + 3*u - 2. Let p be h(c). Find the common denominator of p/8 + 1/(-2) and 18/5.
40
Let f be 2/10 - 576/(-20). Suppose -9 = -2*o + 3*z, 0 = -5*o - z - f + 77. What is the smallest common multiple of 9 and o?
9
Let b be (123/(-12) - -1)*-4. Let d(u) = 15*u - 1. Calculate the least common multiple of b/2 + (-1)/2 and d(1).
126
Let v = -352/7 - -4166/77. What is the common denominator of v and -50/9?
99
Suppose -2*d - 5*c + 10 = -10, 4*d - 5*c - 40 = 0. Calculate the lowest common multiple of 10 and d.
10
Let u = -36 - -46. Calculate the lowest common multiple of u and 2.
10
Let x = 16 - 24. Find the common denominator of 12/5 and x.
5
Suppose -3*z + 36 = -3*i, 0 = -4*z - 2*i + 19 + 29. Suppose 4*d - 4*x - 18 = 3*d, 4*d + z = -5*x. What is the least common multiple of d and 8?
8
Let x = -41359/5 + 8196. Let u = x + 5781/70. Let l = -3605 + 64921/18. What is the common denominator of l and u?
126
Let g = 3 - 1. Calculate the least common multiple of 5 and (-4 - 0)*(-3)/g.
30
Let p(u) = u**2 + 5*u**2 + 3*u**2 + 2*u**2. What is the least common multiple of 0/(-2) - -6 - 0 and p(-1)?
66
Let g = 14205/638 + -247/11. Calculate the common denominator of g and 55/18.
522
Let j = 4229/2 - 2161. Let d(r) = -r**3 + 7*r**2 - 5*r - 7. Let k be d(6). Calculate the common denominator of 2/k - 72/33 and j.
22
Let n(p) = -7*p - 6. What is the least common multiple of n(-1) and (-17)/(-5) - 2/5?
3
Suppose 3*m = -26 + 71. Suppose 0 = -5*z + 2*z + m. Suppose 0 = -z*i, i - 3*i = -3*j + 60. What is the smallest common multiple of 22 and j?
220
Find the common denominator of 35/24 and (-152)/(-18)*1/2.
72
What is the common denominator of (22/(-48) + 1)/(25/45) and 63/44?
440
Suppose 8 = -2*y + 10. What is the least common multiple of y and 6?
6
Let y = 519/140 + -9/140. Calculate the common denominator of -46/9 and y.
126
Suppose -29 = -2*z + 3*g, 2*z = -5*g + 3*g + 14. Suppose b - 5*b + 20 = 0. Suppose -x - 2 = -b. Calculate the lowest common multiple of z and x.
30
Let j = 26 - 10. What is the lowest common multiple of (-3 - (0 + -1))*-6 and j?
48
Let k(t) = -t**3 + 2*t**2 + 3*t + 2. Let g be k(3). Let f = 109 - 160. Find the common denominator of 24/5 and (f/g + 0)/(-1).
10
Let s(x) = -x**2 + 10*x - 8. Let o be s(8). Suppose 3*g = -g + o. What is the common denominator of g*-13*(-3)/30 and -51/2?
10
Suppose 1 = 2*p - 3. What is the lowest common multiple of 7 and p?
14
Let t(i) = -i - 1. Let j be t(-3). Let k(g) = 4*g + 4. Calculate the smallest common multiple of k(j) and 16.
48
Suppose -5*n = -3*z - z - 1015, 2*z = -2*n - 512. Find the common denominator of (6/10)/((-24)/z) and -69/8.
8
Suppose -4*m + 11 = -5. Let a(q) = q + 7. Calculate the lowest common multiple of a(-5) and m.
4
Suppose -h = 15 - 35. What is the common denominator of (-2)/(-4) + (-12)/h and 125/18?
90
Let z be 14/5 + 7/35. Suppose -z = 3*n - 27. Calculate the least common multiple of n and 8.
8
Suppose -4*d + 1 = 5*w - 40, 2*w - 4*d = 22. Let c be (-1)/(-5) - w/(-5). Calculate the smallest common multiple of ((-3)/9)/(c/(-36)) and 8.
24
Let w be -8*((-21)/(-2))/7. Find the common denominator of (11/w)/(4/40) and -31/6.
6
Let w = 1/2166 + -49823/10830. Calculate the common denominator of -25 and w.
5
Let j be 24452/(-4110)*3772653315/70. Let x = j - -320642742. Let d = x - 1/1918. Calculate the common denominator of d and -49/10.
10
Let u = -376/3 + 134. Find the common denominator of u and -77/8.
24
Let x = 2793834575/171279114 + 6/1241153. Let y = 12/23 + x. What is the common denominator of -75/22 and y?
66
Let u be 1749/(-4260) - (-1 - -3). Let f = u - -3/284. Calculate the common denominator of (3/(-4))/(9/129) and f.
20
Suppose -4*d + 8 = 2*n, 5*d + n = -n + 12. Let s be 1*2 + -16 + d. Let g = s + 18. What is the lowest common multiple of g and 10?
40
Suppose -n + 16 = -5*d - 1, -2*d + 31 = 5*n. Suppose 2*r = -6 - 4. Let i = 12 + r. What is the least common multiple of n and i?
7
Let s be (27/12)/(9/96). Suppose 2*t = -0*t + s. Suppose 3*c - 60 = 2*p, -3*p = 5*c + 2*p - 100. What is the least common multiple of c and t?
60
Suppose 3*s - 8 = -u + 2, 0 = -4*s + 5*u - 12. Calculate the least common multiple of 7 and s.
14
Let q = 508 + -1502/3. Find the common denominator of 30 and q.
3
Let m be 3/1 + -3 - -18. Find the common denominator of (-7)/((2 - -6) + 0) and (m/60)/((-12)/(-505)).
8
Let h be 4 - (-1 + 3)/2. Suppose 2*q = s - 2 + 1, 5 = 2*q - h*s. Calculate the common denominator of (q/(-6))/((-40)/(-525)) and 43/3.
24
Let v(i) = i**2 + 9*i - 27. Calculate the least common multiple of v(-12) and 24.
72
Let v be (-84)/(-9)*6/4. Suppose 0 = -r + 5*y - v, 4*y = r + 3 + 8. Suppose -1 = 4*z - 13. What is the lowest common multiple of r and z?
3
Let a = 10013 + -330500/33. Calculate the common denominator of a and 53/3.
33
Let y = -33 + 37. What is the least common multiple of y and (-3)/(9/6) - -5?
12
Suppose 3*i + 0*i = -6. Let u(k) = -7*k - 5*k + 2*k + 2*k. Calculate the least common multiple of 22 and u(i).
176
Let t(a) = -2*a**3 - 2*a**2 - 2*a + 2. Let z = -8 + 28. Suppose -5*f + z = 2*v, -v + 3*v + 4*f - 20 = 0. What is the least common multiple of t(-2) and v?
70
Let y(n) = -3*n + 8. Calculate the least common multiple of 2 and y(-4).
20
Let d be (-6)/(-33) + 1072/(-7106). Let l = d - -3433/3876. Calculate the common denominator of l and 22/9.
36
Let u be 2/18*