
Let s = 18637 - 223501/12. Calculate the common denominator of -38/3 and s.
12
Suppose 22 = 4*h - 2*h. Calculate the lowest common multiple of 1 and h.
11
Let q = -409/3 - -148. Let a = 465721214901/10958479850 - -25/7069987. Let k = 1/775 + a. Find the common denominator of q and k.
6
Let n = 997/232 - 5/29. Find the common denominator of n and 27/10.
40
Let i(x) = -5*x**2 + 7*x - 6. Let a be i(5). Let g = 387/4 + a. What is the common denominator of 109/12 and g?
12
Find the common denominator of 91/8 and (-38)/7 - 10/(-20).
56
Suppose 0 = 9*u - 7*u - 36. Let x be (2 - 24/(-3))*-4. What is the common denominator of 29/22 and ((-795)/x)/(u/(-4))?
132
Calculate the least common multiple of 10 and (-24)/(-18)*(-9)/(-6).
10
Let i = 7457 + -149223/20. Let m = 236 + -394. Find the common denominator of i and 3/60*-1*m.
20
Let h = -548 - 18. Let u be 8/(-36) - h/306. Let d = -2753/408 - u. Find the common denominator of 41/8 and d.
8
What is the lowest common multiple of 20 and ((-6)/(-2))/(6/8)?
20
Let z(h) = -11*h + 1. Let v = 293/26 + -23/13. Calculate the common denominator of z(4) and v.
2
Let q = -3 + 3. Suppose 2*f - 3 - 1 = q. Suppose 4*u = -4*o + 20, 2*u - u = -2*o + 7. Calculate the lowest common multiple of f and o.
2
Let s = 69 + -116. Find the common denominator of (s/10)/((-1)/(-2)) and 3/5 - (-231)/(-135).
45
Let i = -2420 + 19449/8. Calculate the common denominator of 69/8 and i.
8
Let b(t) = -4*t + 6. What is the least common multiple of b(-5) and 6?
78
Let q be 2 + (-1 + 1)/4. Suppose 50 = 2*u + q*m + 12, u = -4*m + 28. Calculate the smallest common multiple of u and 10.
80
Suppose 0*c - c = -14. What is the lowest common multiple of 8 and c?
56
What is the common denominator of (3 - 2) + (-385)/56 and -42/5?
40
Let q = 1 + -1. Let a be 243 - (1 + (q - 1)). Find the common denominator of a/60 + (-2)/(-8) and 48/11.
110
Let s = 12 + -7. Suppose 0 = c - s*c + 28. Let p(g) = -5*g - 50. What is the least common multiple of p(-12) and c?
70
Suppose 6*h - 2*h + 32 = 0. Let p = 14 - h. What is the lowest common multiple of p and (0 - 1) + 7/1?
66
Let a(k) = -k**2 - 8*k - 6. Calculate the least common multiple of a(-7) and 11.
11
Suppose 4 - 44 = -4*a. Calculate the smallest common multiple of 8 and a.
40
Suppose -7*o - 7 = -3*o + c, 5*o + 11 = -2*c. What is the common denominator of (-1)/(-12) - o/(-3) and -63/2?
4
Let t = 847/9 + -94. Calculate the common denominator of t and 7/27.
27
Suppose 2*i + 10 = 7*i. Let q = 23 + -9. Calculate the smallest common multiple of i and q.
14
Let b = 193 + -274. Find the common denominator of b/6*3/11 and 41/10.
110
Let h = 26/271 + -12314/4065. Find the common denominator of 11/6 and h.
30
Let p be (-1)/(-5) + 22/(-125). Let h = -217/1375 - p. What is the common denominator of h and 53/11?
11
Suppose -5*k = 3*v - 0*v + 37, k + 21 = -4*v. Let r = -26773 - -481789/18. Find the common denominator of r and (-158)/(-36) - v/6.
18
Suppose -4*r + 11 = 3. Let c be (-1)/(-26)*r/(-214). Let i = -45899/11128 + c. Calculate the common denominator of i and 39/5.
40
Let m(w) = -5*w - 1. Let b be m(-1). What is the common denominator of (74/10)/(b/10) and -1 - (21/(-11) + 1)?
22
Suppose 3*n + 4 = 5*j - 8, -3*j = -n - 4. Let z(d) = -13*d**3 + 1. Calculate the smallest common multiple of 12 - 1/(2/n) and z(-1).
14
Let u = 11275/4208 - -35/263. Find the common denominator of (78/(-4))/(2*(-162)/(-60)) and u.
144
Calculate the common denominator of -1 + (1 - -2) + 327/18 and -67/18.
18
Let y be 1030/(-535) - (-2 - 0). Let b = -797/642 + y. Calculate the common denominator of 36/7 and b.
42
Let r be 2/8 - 42662/(-4520). Let f = 147731/452 + -1307/4. Let o = r - f. What is the common denominator of o and 91/10?
10
Suppose -5*j + 12 = -3*c - 10*j, 4 = -5*c - 3*j. What is the smallest common multiple of c and 5?
5
Let v = 549 - 3307/6. Calculate the common denominator of v and -149/18.
18
Suppose 2*h + 5*h - 28 = 0. Calculate the smallest common multiple of 12 and h.
12
Let y be (-3)/9 - 75/(-252). Let l = 1123/84 + y. Calculate the common denominator of l and 137/6.
6
What is the common denominator of 15/5 + 159/(-21) and -18?
7
Let r(y) = 1 - 1 - 2 - 2*y**2 - y. Let d be r(-2). Calculate the common denominator of (-11)/(-8)*d/6 and 95/18.
18
Let b = -1366813/4 + 343340. Let l = b + -1647. Find the common denominator of 87/20 and l.
20
Suppose 5*t - 2*t - 6 = 0. Calculate the common denominator of (-2)/4 + 106/(-28) and (-274)/t*(-2)/(-12).
42
Calculate the least common multiple of 6 and (1 - 2)/(1/(-11)).
66
Let r be 8/(24/15 - 2). Let c = r - -12. Find the common denominator of (97/(-3))/(c/(-6)) and 119/10.
20
Calculate the common denominator of 71/4 and (15/(-45))/((-6)/(-146)).
36
Suppose -7*o + 5*o = -8. Calculate the least common multiple of o and 64.
64
Let p(d) = d**2 - 9*d - 2. What is the smallest common multiple of p(11) and 45?
180
Suppose -3*p + 2*d = -43, -4*d = 3*p + d - 8. Suppose 5*h - 28 = -w, 7*h + 32 = 11*h + 4*w. What is the least common multiple of h and p?
55
Let v = -8573373134/2840949 - -1442540/479. Let r = -2/659 + v. What is the common denominator of 21/11 and r?
99
Let n(j) = j**2 + 4*j + 4. Suppose -2*r + 4*r - 4 = 0. What is the lowest common multiple of n(-4) and r?
4
Let v = -174991/20 - -8745. Calculate the common denominator of -109/14 and v.
140
Let b = 8 + -30. Let x = b - -10. Calculate the common denominator of 0 - ((-86)/x + -1) and 46/11.
66
Calculate the common denominator of (-55)/600*3 + (1 - 0) and 73/20.
40
Let j(q) = q - 4. Let b be j(6). Let l be (b/4)/(5/(-10)). Calculate the smallest common multiple of 7 and -10*(l + (-9)/(-15)).
28
Suppose -2*n + 4 = -8. What is the lowest common multiple of n and 12?
12
Let q = 4992 + -49959/10. Calculate the common denominator of 151/6 and q.
30
Suppose 2*q - 2*h - 59 + 15 = 0, 3*h = -5*q + 134. What is the common denominator of q and -7/6?
6
Suppose 2*f + 52 = 4*l, f + 0*f + 48 = 4*l. Let w = 6 - 3. Calculate the lowest common multiple of w and l.
33
Suppose -7*c + 48 = -50. Calculate the lowest common multiple of 18 and c.
126
Let x = -4656463 - -46513149/10. Let h = 5157 + x. Find the common denominator of h and ((-2)/2)/(6/1).
30
Calculate the common denominator of (-8)/(-14) - (-1028)/308 and 25/9.
99
Let g(r) = 870*r**2 - 1. Let b be g(1). Suppose 5*n - u = -0*n + b, 0 = n - 2*u - 172. Calculate the common denominator of 8/9 and n/(-15) - (-3)/6.
90
Suppose 2 = z + 7. Let o = z - -11. Calculate the smallest common multiple of o and 5 + (-2)/(-1) + -3.
12
Suppose -3*x - 3*w + 45 = 0, 2*w - 12 = -3*x + 29. Calculate the lowest common multiple of x and 10.
110
Let k = 11 - 19. Calculate the common denominator of (-29)/(-5) - k/20 and -4.
5
Suppose -18 - 17 = 5*s. What is the smallest common multiple of 11 and (-18)/(-63) + (-54)/s?
88
Let h(j) = -j**2 + j + 31. Let f be h(0). Suppose f = 5*m + 2*r, 3*m + 5*r - 30 = -0*m. What is the lowest common multiple of m and 11?
55
Suppose -3*d = -5*k - 180, k + 3*d + 0 = -18. Let o = k - -55. Suppose 2*h + 5*w - o = w, 3*h - 5*w = 0. What is the smallest common multiple of h and 8?
40
Suppose 3*m + 0 = 72. Calculate the smallest common multiple of m and 2.
24
Let z = -17 - -5. What is the least common multiple of (18/z)/(1/(-4)) and 9?
18
Let a = 9 + -5. Let l = 2901/8 + -364. What is the common denominator of a*6*6/(-44) and l?
88
Suppose 2*i = 5*i + 66. Let v = -2 - i. Calculate the smallest common multiple of 8 and v.
40
What is the least common multiple of 32 and 4 + -2 + -1 - -15?
32
Suppose 0 = 4*o - 2*t + 2668, 5*o + 2*t + 4369 = 1043. Calculate the common denominator of 106/32 + 0 - -1 and o/10*(-4)/(-48).
80
Find the common denominator of 1 - (5/(-30))/((-3)/(-66)) and 0 + -1 + (-41)/9.
9
Suppose o + 98 = -238. Find the common denominator of (o/(-22))/(-4) + 1 and (-2)/6 - (-29)/(-30).
110
Let y = -29957/76 - -1567/4. Calculate the common denominator of y and (25/12)/(1/(-10)).
114
Let k(a) = a**3 - 10*a**2 - 9*a - 12. What is the smallest common multiple of 18 and k(11)?
90
Let s(l) = -l**3 - 6*l**2 - 7*l - 6. What is the lowest common multiple of (2 - 0) + (12 - 2) and s(-5)?
12
Calculate the common denominator of 47/8 and 3/(-48)*(-2)/(-5)*138.
40
Suppose f = 601 + 112. Let 