e common denominator of 69/4 and (-2)/(-9) + (-619)/v.
20
Suppose 0 = 2*t + t + 2*f - 57, -4*t + 69 = 5*f. Let u = t - 13. Let l(a) = a**3 - 8*a**2 + 2*a - 10. What is the common denominator of l(u) and 47/3?
3
Calculate the least common multiple of 4 and (-2)/(-21) - 1172/(-42).
28
Let u = 16353/10 + -1634. Suppose w = 6*w - 3*y + 84, -62 = 3*w + 4*y. What is the common denominator of u and w/(-4)*2/(-12)?
20
Let q(r) = -r**3 - 3*r**2 + 1. Suppose -4*n - 9 = -n. Calculate the smallest common multiple of 1 and q(n).
1
Let s = 396 + -3963/10. Find the common denominator of s and -49/6.
30
Let q be ((-1810)/(-420))/(3/(-32)). Let c = 314/7 + q. What is the common denominator of c and -49/9?
9
Let g = 12 + -8. Suppose 0 = g*t - 88. Suppose 9 = 5*i - 41. What is the least common multiple of i and t?
110
Let x = -1558/11 - -137. Find the common denominator of x and 17/11.
11
Suppose 4*w - 2*d - 18 = 0, -2*w = -0*d + 3*d + 11. Let s(q) = 15*q**w - 2 - 2 + 3. Calculate the lowest common multiple of 8 and s(-1).
56
Let l be 27/(-45) - (-2858)/5. Let k = l + -2866/5. What is the common denominator of -97/2 and k?
10
Suppose -4*n + 2*y + 9 + 45 = 0, 60 = 3*n + 5*y. Calculate the least common multiple of 2/(1 + 4/(-6)) and 5/n*(64 + 2).
66
Let v = -1516/5 + 298. Let l = -5 - -1. Find the common denominator of (-8)/l - 1/3 and v.
15
Calculate the least common multiple of -2 - (-9 + 5 + -112) and 15.
570
Let w(g) = -7*g. Calculate the smallest common multiple of w(-2) and 18.
126
Suppose p - 2 + 1 = 0. Let u = 0 + p. What is the smallest common multiple of 3 and u?
3
Suppose v - 13 = -3*f, -4*v + 19 + 23 = 2*f. Calculate the lowest common multiple of 2 and v.
10
Suppose -1 + 0 = m - 5*c, -3*c = -3. Let g = 10 - 0. What is the lowest common multiple of g and m?
20
Suppose -2*x = 9 - 31. Let u = -59/4 + x. Calculate the common denominator of 39/14 and u.
28
Suppose 64 = 5*s - 26. Suppose 0*k = -3*k + s. What is the smallest common multiple of k and 25/3*72/60?
30
Let b(d) = -106*d**2 + 7*d - 1. Let h be b(6). Let k = 22519/6 + h. Calculate the common denominator of k and (-4)/(-18) - 178/(-90).
30
Calculate the least common multiple of 2/(-9) + (-128)/(-9) and 10.
70
Let y(j) = j - 2. Let f be y(2). What is the smallest common multiple of f*(-3)/6 - -8 and 11?
88
Let y = 19 + -14. What is the least common multiple of y and 13?
65
Let q = -13 - -9. What is the common denominator of (6/q)/(9/39) and 2/(-8) + (-87)/(-28)?
14
Let u = -9 - -5. Calculate the common denominator of 21/22 and u/22 + 285/(-550).
110
Suppose 0 - 9 = -2*z - 5*x, -3*x - 3 = 0. What is the least common multiple of z and 8?
56
Let h = 14605/6 + -2448. What is the common denominator of -31/20 and h?
60
Let h(q) = -11*q - 1. Let t be h(-1). Let g = t - 2. Calculate the smallest common multiple of g and 20.
40
Let m = -26 + 27. What is the smallest common multiple of 6/18 + (-23)/(-3) and m?
8
Let n = 5 + -12. Let k = 145/88 + -23/44. What is the common denominator of k and n?
8
Suppose v + 3*v + 112 = 0. Suppose -5*o - 15 = -5*m, -3*o - 2*m - 21 = -m. What is the common denominator of 45/4 and o/(-15)*(1 - v)?
20
Let u = -7530/7 - -1082. Calculate the common denominator of (1 + 129/12)/(3 + -4) and u.
28
Let d = -14815 + 207525/14. Let i be (-2)/(-10) + 9119/80. Let s = -116 + i. What is the common denominator of s and d?
112
Let b(u) = u**2 + 16*u + 2. Let p be b(-16). What is the smallest common multiple of -4 + 1 - -23 - p and 22?
198
Let t = 9 - 3. What is the smallest common multiple of 4 and t?
12
Let i = 1352 - 8191/6. Calculate the common denominator of -1 + (-29)/10 + 2 and i.
30
Suppose -4*n = -27 - 29. Let z = n + -9. Calculate the common denominator of 0 + z/((-75)/42) and 5/8.
40
Let l = -20078 + 903454/45. Calculate the common denominator of 13/9 and l.
45
Let p be 14/8*(-340)/66. Let z = p - -90/11. Let j = 933/2 + -455. What is the common denominator of j and z?
6
Let i(g) = 5*g + 1. What is the lowest common multiple of 6 and i(5)?
78
Let d = 74881/15 + -4990. What is the common denominator of d and 74/27?
135
Let s = -297492/25 + 11898. Find the common denominator of s and 49/40.
200
Let d be (12/14)/(3/42). Calculate the smallest common multiple of 194/d - (-2)/(-12) and (-3)/(-3*1/14).
112
Let v(b) = -3*b - 2. Calculate the lowest common multiple of v(-4) and 6.
30
Let z = 0 - -3. Suppose 0 = 5*h + z - 28. What is the least common multiple of (14/(-21))/((-4)/66) and h?
55
Let y(s) = -s**3 - 5*s**2 + 5. Suppose 0 = 8*o - 4*o + 20. Calculate the smallest common multiple of 3 and y(o).
15
Let o(f) = 5*f + 10. Let b be o(14). Find the common denominator of ((-3)/(-10))/((-12)/(-970)) and 4 + (b/(-18))/1.
36
Suppose -3 - 5 = -2*o. Let k be (5 - 1)*(-5)/(-10). Suppose -2*v - 12 = -6*v - 4*g, 3*g = -k*v + 5. What is the lowest common multiple of o and v?
4
Let c = 21867/8 + -2738. What is the common denominator of 8 and c?
8
Let m be -1 + 4 - (-498)/(-138). Let t = m + 143/46. Calculate the common denominator of t and (-1 - 0) + 28/18.
18
Suppose 0 = 5*o - 94 - 396. Let a = o + -506/5. What is the common denominator of -23/4 and a?
20
Let m = 7165/2497 + 9/227. Suppose -220 = k - 6*k. Let a = -10 + k. Calculate the common denominator of m and a.
11
Suppose -43 = -4*r + 3*x, 2*x - 27 = 5*r - 79. Calculate the lowest common multiple of r and 50.
50
Let l be (-76)/(-1135)*30/12. Let f = l - 22171/908. Calculate the common denominator of f and 37/16.
16
Let k = 0 - 1. What is the common denominator of 13/4 and k/10*124/4?
20
Suppose -m + 19 = 4*r, 4*r - 4*m - 2 = 2. Calculate the least common multiple of r and 8.
8
Let g(b) = 7*b + 5. Let n be g(-2). Let o = 7648 - 76567/10. Calculate the common denominator of o and (n/(-30))/((-6)/(-57)).
20
Suppose 12 = -3*j + 5*m, 0*j + m = -5*j + 8. What is the smallest common multiple of 11 and j?
11
Suppose -55 = -8*m + 33. Calculate the lowest common multiple of m and 1.
11
Let r = -2373 - -14101/6. Let f(g) = g**3 + 4*g**2 - 5*g - 3. Let l be f(-5). Find the common denominator of 7/(-14) + 31/l and r.
6
Let h be -4 + (0 - -3) + -2. Find the common denominator of 114/(-8) - -2 - -1 and (-6)/40*h*22.
20
Let i be ((-2)/(-4))/((-9)/18). What is the lowest common multiple of 3*(57/9 + i) and 22?
176
Let m = -53 - -56. What is the lowest common multiple of 7 and m?
21
What is the common denominator of 2/(-8) - 422/72 and -101/6?
18
Suppose 0 = -5*y + 2492 + 2358. Calculate the common denominator of 83/(-4)*1*-1 and ((-1)/(-5))/((-12)/y).
12
Let u = -199 - -202. Let i = -19 + 28. What is the lowest common multiple of u and i?
9
Suppose -2*o - 368986 - 403732 = -4*f, 2*f = -o + 386353. Let k be (-3)/108*(0 - f). Let j = -5368 + k. What is the common denominator of -55/6 and j?
18
Suppose 0 = 3*q - 2 - 4. Suppose q*m - o = 27, -o - o = 2*m - 42. Calculate the least common multiple of m and 6.
48
Let g be -2 - -1 - (-770)/24. Let u = 69/2 - g. What is the common denominator of u and -55/2?
12
Let c = -1677949/646 - 18/323. Let q = 41475/16 + c. Calculate the common denominator of q and 93/2.
16
Let m(x) = x - 2. What is the smallest common multiple of m(6) and 10?
20
Let c = -33 - -41. What is the least common multiple of c and 6?
24
Let m = -11 + 8. Let l be 4/((-4)/m) + 11. Suppose -8*s + 3*s + 70 = -z, -3*z - l = -s. What is the smallest common multiple of 14 and s?
14
Let r = 828 + -13181/16. Suppose 4*a - 29 = 3*s, -a = 2*s - 0 + 1. What is the common denominator of r and ((-34)/(-66))/((-2)/s)?
176
Suppose 0 = -5*x + 32 + 38. Calculate the lowest common multiple of x and 18.
126
Let s = -260924 - -1830046/7. Let m = 56821/112 - s. Find the common denominator of 87/16 and m.
16
Suppose 2*h = a + 8, -1 = -3*a - 13. Suppose 4*y - 5*f = y + 15, h*f = y - 5. Suppose 13 = y*u - 7. Calculate the lowest common multiple of u and 20.
20
Suppose -45 = -6*u + 3*u. What is the lowest common multiple of u and 21?
105
Let k be (-3028)/(-18) - (-4)/(-18). Find the common denominator of -101/14 and 2366/k - (3 + 0).
84
Suppose -2*f + 18 = 4*n, -5*f = -f + 4. Suppose 22 - 2 = -n*x. Let r = x - -31. What is the common denominator of r and -36/5?
5
Let a = 4328 - 8028. Let s = -1956 - a. Let q = -10429/6 + s. Calculate the common denominator of -23/8 and q.
2