 0 = h + 2*h - 45. Find the common denominator of 47/(-15) - 10/h and 50.
5
Let m be 56/6 - (-1)/(-3). Let j = 49187/10570 + -8/755. Find the common denominator of 1/m*556/8 and j.
126
Let s be ((-4)/6)/(4/6). Find the common denominator of ((-2)/(-8))/((-18)/(-320)) and (s/(-2))/(9/(-94)).
9
Let u(b) = b**2 - b + 10. Calculate the least common multiple of u(0) and 14.
70
Calculate the least common multiple of 5 + -4*3/6 and 4.
12
Let p = 4364 + -61185/14. Let h = -2/12593 + 692647/201488. What is the common denominator of p and h?
112
Suppose -4*t - 35 - 5 = 0. Let n(d) = -2*d - 10. Let q(o) = 5*o. What is the smallest common multiple of q(2) and n(t)?
10
Let h = 46 - 37. Calculate the lowest common multiple of h and 6.
18
Let d = 1 + -3. Let s(u) = 53*u**2 - 8*u - 17. Let b(c) = -13*c**2 + 2*c + 4. Let a(g) = -9*b(g) - 2*s(g). Find the common denominator of 31/8 and a(d).
8
Calculate the least common multiple of 10 and (3 - (-52)/(-20))*65.
130
Let c = 3965/504 + 158/63. Let a be ((-10)/(-8))/((-2)/136). Let u = a - -1203/14. What is the common denominator of u and c?
56
Suppose 0 = -3*z + 5*l + 32, -6 - 2 = -5*z - 3*l. Calculate the lowest common multiple of 16 and z.
16
Let p = -5288414/50435 - 8/7205. Let s = p - -6565/56. What is the common denominator of s and (2 + 0)*-1 + 34/(-5)?
40
Calculate the smallest common multiple of (-16)/4*(-18)/4 and 18/(1 + 1/2).
36
Let o = -34 + 40. Calculate the smallest common multiple of 21 and o.
42
Let s(q) = -q + 8. Let l be s(5). Suppose -l*f + 3*i + 12 = 0, 2 = -2*f - 2*i + 6*i. Calculate the lowest common multiple of 6 and f.
18
Let i be (-128)/22 - (-6)/(-33). Let m(a) = -a**3 - 5*a**2 + 2*a - 4. Calculate the smallest common multiple of 20 and m(i).
20
Let m = 175 - 542/3. What is the common denominator of m and 28/11?
33
What is the common denominator of ((-513)/60)/(6/4) and (-4)/6 - 349/(-42)?
70
Let j = -198 - -202. Let n = -9 + 16. What is the smallest common multiple of n and j?
28
Let h(v) = -v. What is the lowest common multiple of h(-1) and 4?
4
Let f be ((-30)/35)/((-6)/28). Suppose -f*u + 0*u = -24. Calculate the least common multiple of 9 and u.
18
Let j = -9334/7 + 1340. Find the common denominator of -31/6 and j.
42
Let d = -3 + 6. Suppose 0 = d*z - 5*z + 42. Suppose 0 = -6*l + 3*l + z. Calculate the smallest common multiple of 7 and l.
7
What is the common denominator of (6/(-15))/(48/2660) and -11/4?
12
Let w = -3981/8 - -1003/2. Find the common denominator of w and 13*21/66*-1.
88
Suppose -1 + 9 = 2*t. Suppose 2*g - t = -4*i, -4*g = -0*i + 4*i - 8. What is the common denominator of (1 - -21)/(g + -11) and 85/6?
18
Let u(c) = 3*c**2 + 6. Let r be u(-5). Calculate the common denominator of r/42 - (-3)/(-2) and -22/9.
63
Find the common denominator of (-1 + 5/3)/(8/140) and 73/18 - (-2)/3.
18
Let o(c) = -c**2 - 7*c - 2. Suppose 1 = -2*z - 1. Let g(t) = 10*t**2 + t. What is the lowest common multiple of o(-5) and g(z)?
72
What is the common denominator of -85/12 and (-993)/270 - 6/(-15)?
36
Suppose -3*l - 15 = -0*l, -51 = -4*f - l. Let y(x) = -x**3 + 13*x**2 - x + 17. What is the smallest common multiple of y(13) and f?
28
Let m = 10 + -16. Let p = -1255 - -5047/4. Find the common denominator of 92/(-3)*m/(-96) and p.
12
Suppose -2*m - 2*m + 48 = 0. What is the lowest common multiple of m and 6?
12
Let d = 52159/10 + -5206. Find the common denominator of 61/16 - 0 - -1 and d.
80
Let l(r) = -r**3 - 14*r**2 - 2*r - 20. What is the least common multiple of 90 and l(-14)?
360
Let q = 82/75 + -1/100. Find the common denominator of q and -41/6.
12
Let w(i) = -2*i + 4. What is the least common multiple of w(1) and 7?
14
Suppose -4*z - 3*k - 21 = -z, 0 = 2*z + 5*k + 11. Find the common denominator of 17/14 and (-16 - -3)/(z/(-7)).
56
Let g = 418271/347880 - -114/2899. What is the common denominator of 93/10 and g?
120
Let z be (-4)/20*5*-2. What is the lowest common multiple of 12 and (2/4)/(z/80)?
60
Suppose 19 = 4*d - 2*s - 3, -4*s - 8 = d. Calculate the least common multiple of 9 and 42/4 + (-2)/d.
90
Let w(u) = -u + 6. Calculate the lowest common multiple of (-3)/(-2)*4/3 and w(-5).
22
Let v(i) = i + 7. Let g be v(-3). Suppose 32 = 8*d - g*d. Suppose -w + d = 2. What is the least common multiple of w and 5?
30
Let z = -5/294 - 6686/147. Let p = 615 + -4274/7. Find the common denominator of z and p.
14
Let o(n) = -n**3 + n**2 - 6. Let z be o(0). Let v = 5 + z. Let g(i) = 4*i**2 + 1. What is the smallest common multiple of 4 and g(v)?
20
Let r(x) = 2*x**3 - 4*x**2 - 5*x + 6. Let h be r(5). What is the common denominator of h/(-15) - 4/(-12) and 9/11?
55
Suppose -2*t = 69 + 175. Calculate the common denominator of 105/22 and -2 + 3 + t/24.
132
Let n be 2 - 4622/20 - -2. Let r = n - -226. What is the common denominator of (-124)/(-9)*5/(-10) and r?
90
Calculate the lowest common multiple of 4 + -1*(6 - 4) and 4.
4
Let x = -6 + 11. Suppose -2*f = 0, f + 10 = -4*v + x*v. What is the least common multiple of (-4 + 2)/(2/(-3)) and v?
30
Let h(r) = -11*r. Let c(t) = -t**3 + 6*t**2 - 7. Calculate the smallest common multiple of h(-2) and c(5).
198
Suppose 0 = -z - 3*s + 4, -2*z + 7*z - 3*s - 20 = 0. Suppose 5*g + b = 63, -5*g + 4*b = -41 - 7. Calculate the lowest common multiple of g and z.
12
Suppose 5*w - 3 - 47 = 0. Calculate the lowest common multiple of 524/26 + 4/(-26) and w.
20
Suppose u - 4*t - 10 = -t, -5*u + 3*t + 14 = 0. Let c(s) = 7*s. What is the smallest common multiple of c(u) and 1?
7
Calculate the least common multiple of 2*(8 + -4)/4 - -2 and 32.
32
Let r = -431/430 - -228/43. Find the common denominator of r and 89/2.
10
Let c be 0 - 4 - (-7 + 1). Suppose -b - 31 = 2*v, -4*b - c*v - 189 = -7*v. What is the common denominator of b and 48/7?
7
Let v = 8 - 6. What is the common denominator of -81/20 and v - 2/84*15?
140
Let k(i) = -2*i + 6. Let j = 20 - 20. Suppose h - 11 - 11 = j. Calculate the smallest common multiple of k(-5) and h.
176
Suppose 21*r - 144 = 9*r. What is the lowest common multiple of 14 and r?
84
Suppose 4*h - f = 105 - 12, -2*f - 10 = 0. What is the least common multiple of 18 and h?
198
Let t = 193 + -188. What is the least common multiple of 20 and t?
20
Let r(b) = b**3 + 5*b**2 + b - 2. What is the least common multiple of 3 and r(-4)?
30
Let h(x) = -6*x - 8*x - x**2 - 9 + 1. Let r be h(-7). Find the common denominator of -123/20 and r/(-6) + -3 + 2.
60
Let v be (4/(-6))/(-2)*-39. Let c = -1 - v. What is the common denominator of 29/10 and c?
10
Suppose -3*b = -2*b - 4. Suppose -b*z + 23 = -3*d, -2*d = -5*z + d + 31. What is the smallest common multiple of 10 and z?
40
Let h(v) = 2*v - 3. Let k be h(4). Suppose 3*b + 2 = b, 5*l - 35 = 5*b. Suppose 2*m = k*m - l. What is the lowest common multiple of m and 16?
16
Calculate the common denominator of 10/18 - (-6)/(-18) and 19/20.
180
Suppose w = 6*w + t - 106, -4*t - 82 = -3*w. Calculate the least common multiple of w and 16.
176
Calculate the least common multiple of 6 and 5 + (-85)/15 + (-56)/(-3).
18
Suppose -3*o - 3*w - 3 = 0, 2*w + 8 = -2*w. Let v = o - -2. Let d = 0 + v. Calculate the least common multiple of 1 and d.
3
Let j be 6/(-2)*(-4)/6. Let b = j - 1. Calculate the least common multiple of 2 + 0 + 2 + -1 and b.
3
Let c = 979/56 + -160/7. What is the common denominator of c and -49/8?
8
Let r = 724678094/11 - 65225076. Let j = 649631 - r. Let p = j + 5116. Find the common denominator of -31/11 and p.
11
Let n = 14 + -12. Let t = 15 - 13. Calculate the smallest common multiple of t and n.
2
Suppose 10 = 3*i - i. Let t(o) = -o**2 - 7*o - 1. Let l be t(-7). Calculate the least common multiple of -5 + 10 - (1 - l) and i.
15
Suppose -2 = t + 3, -2*a + 15 = t. What is the lowest common multiple of 39 and a?
390
What is the least common multiple of (-2)/((-36)/28 + 1) and 12?
84
Let r(z) be the first derivative of -z**4/4 - 7*z**3/3 + 7*z**2/2 + 7. What is the least common multiple of 5 and r(-8)?
40
Let j = 481/5 + -777/10. Let s = -89/24 - -63/8. What is the common denominator of s and j?
6
Suppose 14 - 50 = -2*u. Let f = 0 - -14. What is the smallest common multiple of f and u?
126
What is the common denominator of -43/7 and (1 - 9)/((-335)/10)?
469
Suppose 5*a - 37 - 23 = 0. Suppose -4*j + 5*j + 2