ose -2*w + 2305 = 729. Let v = -7861/10 + w. Calculate the common denominator of 25/16 and v.
80
Calculate the common denominator of (261/45)/((-8)/(-10)) and -79/14.
28
Suppose -5*u = 3*b + b - 100, -3*b + 52 = -2*u. What is the smallest common multiple of b and 2?
20
Suppose -3*l - 10 = 2, 5*l = a - 26. Let p = 83/50 - 234/25. What is the common denominator of p and (44/a)/(56/(-36))?
70
Let k = -2/523 - 16193/5230. Find the common denominator of -29/96 and k.
480
Find the common denominator of 3633/(-468) - 5*(-4)/(-130) and 81/8.
24
Let f(s) = s + 6. Suppose 4*i - 12 - 8 = 0. Suppose -4*k = -0*d - i*d - 8, 0 = k - 5*d + 13. Calculate the least common multiple of k and f(0).
42
Let b(q) = q**2 - 10*q + 9. Let v = 14 + -5. Let f be b(v). Calculate the least common multiple of 2 and (f + -3 - 3)*-1.
6
Suppose 0 = -4*f - 28 + 8. Calculate the common denominator of (f + 4)*(-2)/14 and 49/4.
28
Suppose -5*f - 13 + 118 = 5*o, 0 = 2*f + 5*o - 57. What is the smallest common multiple of f and 12?
48
Calculate the common denominator of 12/42 - (-201)/56 and 0 + (-2 - (-2)/36).
72
Suppose 0 = 3*m - 6*m + 12. What is the smallest common multiple of m and 7?
28
Let a(g) = g**3 + 9*g**2 + g - 7. What is the lowest common multiple of a(-5) and 8?
88
What is the common denominator of 68/3 and (-20 - 9/(-3))/9?
9
Let f(h) = 2*h - 1. Suppose 0 = -3*r + 5*u + 10, u = -5*r + r + 21. Let i(n) = -n**2 - 16*n - 8. Calculate the lowest common multiple of i(-15) and f(r).
63
Let v(r) = 2*r - 2. What is the least common multiple of 8 and v(9)?
16
Suppose j + 13 = 5*j - 5*k, 0 = j - 4*k + 5. What is the lowest common multiple of j and 6?
42
Let y(g) = -g**3 - 2*g**2 - g. Let k be y(-1). Suppose 0 = 2*v - k*v - 2. What is the common denominator of -85/18 and (-58)/40 - v/4?
90
Let s = 9923/16 + -619. Let d be (-4)/(-14) + 422/(-7). Find the common denominator of 46/d*(-54)/(-12) and s.
80
Let k(g) = -g**2 + 4*g + 8. Let r be k(6). Let q = r - -6. What is the lowest common multiple of q and 14?
14
Let k = 1 - 2. Calculate the common denominator of (-45)/(0 - (10 - k)) and -24/11.
11
Let c be 2/5 + (-2)/5. Suppose 5*v + c*v = 50. Suppose 0 = h - 5*w + 14, -2*h - 5*w + 20 = -3*w. What is the smallest common multiple of v and h?
30
Let k(b) = 2*b**2 - 2. Let a(n) = 5*n**2 + n - 4. Let z(u) = 4*a(u) - 9*k(u). Calculate the lowest common multiple of z(-3) and 16.
16
Let g = 2 + 22. Let d = -80 + 102. What is the smallest common multiple of g and d?
264
Suppose w + 21 = 5*w - 3*b, -11 = -w - 5*b. Let z(f) = f**2 + 9*f - 6. Let c be z(-10). Suppose 11 = r + c. What is the least common multiple of r and w?
42
What is the common denominator of ((-50)/8)/(8/6) and ((-1332)/8)/9 + -3?
16
Let i = -608021/137008 + 3/8563. Let k = 1253/48 + i. What is the common denominator of k and 2 - (1/2)/1?
6
Suppose w + m + 0*m = 10, -3*w = 5*m - 38. What is the lowest common multiple of 10 and w?
30
Let a(h) = -2*h**2 - h + 3. Suppose -3*s - 7 = 5. Let r be a(s). What is the smallest common multiple of 11 and (-46)/(-10) - 10/r?
55
Let s be ((-12)/15)/(4/(-10)). Find the common denominator of 16/(-40) - 566/160 and 166/32 + s/(-4).
16
Suppose 0 = -5*r + 2*r + 18. What is the smallest common multiple of r and 2?
6
Let w(g) = -g**3 + 8*g**2 - 7*g - 5. Let y be w(6). What is the lowest common multiple of 2/(-7) - (-65)/7 and (20/y)/((-2)/(-25))?
90
Let c(s) = s**3 + 11*s**2 - 13*s - 6. What is the least common multiple of c(-12) and 14?
42
Calculate the common denominator of (-1)/3 - (5348/120)/(-7) and 55/2.
30
Let y = -125131/12 - -10421. What is the common denominator of (186/16)/(0 - -2) and y?
48
Let l = 0 - -2. Let z be 3*(l - 5)/(-3). Suppose 0 = z*p + x - 26, -2*p - x + 42 = 3*p. What is the least common multiple of p and 12?
24
Let j(r) = r**3 - 4*r**2 - 4*r - 5. Suppose 4*k - 6 - 14 = 0. Let p be j(k). Calculate the lowest common multiple of (11 - 6) + 1 + p and 5.
30
Calculate the common denominator of (-26)/(-24) + 5/20 and (-20)/3*(-6)/22.
33
Suppose -3*w + 32 = 4*l, 5*l - 5*w - 8 = 4*l. What is the lowest common multiple of 2 and l?
8
Suppose 2*j - 40 = -2*j. Let x be (-6)/15 - 46/j. Find the common denominator of (-22)/(-12) + x + 4 and -81/22.
66
Let u = 1631/2 - 5692/7. Calculate the common denominator of 42/5 and u.
70
Let r(o) be the first derivative of o**3/3 - o**2/2 - 2*o - 1. Calculate the least common multiple of r(4) and (3/(-3))/(2/(-14)).
70
Let w(f) = -82*f**2 + 2*f - 8. Suppose -4*q = -8*q - 24. Let c be w(q). Let v = c + 17873/6. Calculate the common denominator of v and -97/12.
12
Let x be (-4)/(-14) - (-36)/21. What is the common denominator of 1/1 - (-6)/(-48)*-14 and 1/(16/78) - x?
8
Let y = -2765/104 + 9/104. Find the common denominator of -2/17 and y.
34
Let q(v) = -v**2 - 2*v + 5. Let p be q(-5). Find the common denominator of 59/7 and p/(177/51 + -3).
28
Let w be (-74)/3*(-3)/(-115). Let d = w + -623/2070. Find the common denominator of 67/10 and d.
90
Let f be (6/(-9))/((-4)/6). Suppose 0 = -22*l - l + 138. What is the lowest common multiple of l and (f - (-12)/1) + 1?
42
Suppose 5*v + 10 = 3*v. Calculate the common denominator of 91/18 and (71/6)/(v + 3).
36
Suppose 12*f - 2 = 190. What is the lowest common multiple of 98 and f?
784
Let p = 2627/740418 - 5/854. Let d = p - 20786/9537. Calculate the common denominator of 41/4 and d.
44
Suppose 5*u = -36905 - 104325. Let r = -196796/7 - u. Let l = r - 18331/140. Find the common denominator of -99/20 and l.
20
Let b = -2/15839 + -395919/443492. What is the common denominator of b and 61/12?
84
Suppose 2*n - 2 = -3*v, -5*v = 3*n - n + 2. Suppose -5*s + 45 = 5*c, -2*s + 3*s + 61 = n*c. What is the least common multiple of c and 10?
70
Find the common denominator of -87/26 and (1 - (-109)/14)*(-14)/42.
182
Let c be (-2)/(-8) - 38/(-8). Suppose 2*g - 5*g = -k - 18, g + c*k = -10. Let l = g - -3. Calculate the least common multiple of 2 and l.
8
Calculate the common denominator of 3 - -1 - ((-2)/2)/(-4) and -27/20.
20
What is the least common multiple of ((-33)/(-11))/(2/12) and 20?
180
Let t(f) = 2*f**3 - 5*f**2 - 5 - 5*f**3 + 2*f**3 - 5*f. What is the least common multiple of 20 and t(-5)?
20
Let r(z) = 13*z**2 + 2*z + 1. What is the smallest common multiple of 6 and r(-1)?
12
Let o = -10709/1390 - -84/139. Let r = -6/475 + -22307/1425. What is the common denominator of r and o?
30
Let d be ((-16)/(-6))/((-5)/15). Let k = d + 12. Calculate the smallest common multiple of k and 18.
36
Let j = -1081 - -6469/6. Find the common denominator of j and 29/6.
6
Suppose 3*w - 5*w - 5 = 5*s, 0 = 5*w - s - 1. Find the common denominator of ((-3108)/(-88))/7 + w and 11/4.
44
Suppose 22 + 13 = 5*d. Suppose -t + 1 = -d. What is the smallest common multiple of t and 5?
40
Let q be (-3 - (-12880)/(-6)) + -3. Let f = 103139/48 + q. What is the common denominator of f and 65/18?
144
Suppose -20 = 4*x, 25 = -4*o + 5*o - 3*x. Let b be (o/(-42))/(-2 - 0). Let v = b + -769/21. Find the common denominator of v and -51/20.
20
Let x = 11023/954 - 368/53. Let s = 23647/16 + -1477. Calculate the common denominator of x and s.
144
Let u = -157/3 - -4315/84. Calculate the common denominator of u and 69/60 + -3 + -1.
140
Find the common denominator of (-14)/28*174/94 and 143/12.
564
Let w(g) = -g + 6. Let p be 4/(-14) + 99/(-21). What is the lowest common multiple of 2 and w(p)?
22
Suppose -4*o - o = -45. Let b = o - 5. What is the lowest common multiple of b and 1?
4
Let b = 25 + -18. What is the lowest common multiple of 10 and b?
70
Let s be -3 + (2 - 1) + -54. Let w = -187/3 - s. Calculate the common denominator of w and 41/10.
30
Find the common denominator of -145/24 and (312/16)/((-90)/(-14)).
120
Let a = -31410 - -785408/25. Let u = a + -2591/50. Let t = -4/1359 - -35803/5436. What is the common denominator of t and u?
12
Let n = -330 - -1283/4. Find the common denominator of -3 - 1/(-6)*-8 and n.
12
Let n(q) = q**2 - 10*q + 2. Let j be n(9). Let i(c) = -c**2 - 9*c + 8. What is the least common multiple of i(j) and 8?
88
Suppose b - 2*b + 24 = 0. Find the common denominator of 241/b + (-3)/(-9) and -4 - (2 - 211/18).
72
Let o = 12 - 9. Suppose o*x = 2*a + 4, -a + 8 = 4*a - 3*x. What is the lowest common multiple of 10 and a?
20
