/415. Let f = o - -59/42. Let b = 1053 + -14755/14. Find the common denominator of b and f.
42
Let l = 4/3119903 - 155162135955/43678642. Let b be (-3556)/(-1 + (4 - 2)). Let i = l - b. Find the common denominator of i and 75/14.
14
Let p = -27763/8294 + 11/377. Find the common denominator of p and -17/284.
3124
Let p = -7845 - -8033281/1024. Let t = p - -28661/11264. What is the common denominator of 15/7 and t?
77
Let s(w) = -2*w - 2. Let p be s(-3). Suppose 3*q = -5*b + b + 60, 0 = p*q - 4*b - 80. What is the smallest common multiple of 1/3 - (-35)/3 and q?
60
Let u = 33 + -29. What is the smallest common multiple of u and 7?
28
Suppose -5*t = -3*t - 10. Suppose -2*r - 72 = -t*a, -a + 3*r + 68 = 4*a. What is the smallest common multiple of a and 8?
16
Let r = 17 - 7. Let n(s) = -s**3 + s + 6. Suppose 3*k = 5*k. What is the smallest common multiple of r and n(k)?
30
Let g(o) = -2*o - 9. Suppose -2*l = 6, -3*l + 2 = -2*z + 3*z. Calculate the lowest common multiple of g(-6) and z.
33
Let m = 3818 - 30453/8. Calculate the common denominator of m and 55/122.
488
Let z be 2/(-8) - 338/(-8). Suppose 0 = -u - u - z. Calculate the common denominator of 646/56 + 6/u and -63/8.
8
Let g = -4357/4 - -1111. Find the common denominator of 27/8 and g.
8
Let n = -5 + 11. Suppose 4*l - 5*l + 20 = 0. Calculate the least common multiple of n and l.
60
Let p = -8 - -6. Let d be (388630/(-17532) - p) + -1. Let r = d + 1/4383. What is the common denominator of r and 25/12?
12
Calculate the smallest common multiple of 12 and 7/((-14)/(-4)) - -3.
60
Suppose 176 = 9*g - g. What is the least common multiple of 14 and g?
154
Suppose 3*j - 17 = -4*h, 7 = 3*h - 5*j - 13. What is the least common multiple of 31 and h?
155
Let w = -15 - -11. What is the common denominator of ((-166)/(-32))/((-1)/2) and 6/w*25/3?
8
Suppose -4*k = 4*s - 9*k + 7450, -4*s = -3*k + 7446. Let a be 7/((-322)/s) + 0. Let i = -21035/506 + a. Find the common denominator of 77/8 and i.
88
Suppose 6*d - 2*d = 8. Let g = d + 8. What is the smallest common multiple of g and 14?
70
Suppose 9 = 4*u - 31. Suppose 3*f - f = 14. What is the smallest common multiple of u and f?
70
Let f(z) = 3*z**3 - z - 2. What is the lowest common multiple of 6 and f(2)?
60
Suppose 0 = h - 2*r + 3*r - 2, h - 4 = r. Suppose 0 = -4*j + 3*f + 12, h*j + 3*f + 12 = -2*j. What is the least common multiple of (2 + j)*(3 - 2) and 7?
14
Let q be 1*(1 - 4 - -5). Calculate the lowest common multiple of 16 and 40*-1*q/(-4).
80
Let l(h) = -h**3 - h**2 - h + 3. Let k be l(0). Suppose 0 = 2*d + 10, -3*n - 2*n - k*d = -5. Let o = 33 + -21. What is the lowest common multiple of n and o?
12
Let r = 182371943/101624394 - -2/393893. Let s = 16/43 + r. Let w = 4955/6798 - 1/618. What is the common denominator of s and w?
66
Let z = 470/11 - 949/22. Calculate the common denominator of z and (-122)/(-4)*38/76.
44
Calculate the common denominator of -9/20 and (-16 - 4/2)*7/40.
20
Let z(r) = r - 3. What is the common denominator of z(17) and (-190)/12*3/(-4)?
8
Suppose 21*a - 7*a - 70 = 0. Calculate the least common multiple of 6 and a.
30
Suppose -h = 3*w + 23, -4*h = -2*w + 6*w + 28. Let m be 26231/(-20) + (-2)/w. Let v = -1318 - m. Find the common denominator of v and -31/8.
40
Suppose 0 = -3*t - 4*h + 2, -2*t - 3*h + 1 = -0. Calculate the lowest common multiple of 5 and t.
10
Let b(g) = -2*g**2 + g + 1. Let y be b(4). Let q = 43 + y. Calculate the smallest common multiple of 33/(1 + (-1)/(-2)) and q.
176
Let i = -994987/196528 - -4/12283. Find the common denominator of ((-94)/16)/(1/(-4)) and i.
16
Suppose 21*m - 16*m = -25. Let i(p) = -p**2 - p. Let d(u) = 3*u**2 + 9*u + 5. Let z(l) = -d(l) - 2*i(l). What is the smallest common multiple of 4 and z(m)?
20
What is the lowest common multiple of (-7)/(-42) + (-59)/(-6) and 8?
40
Let m(p) = 4*p**2 - p + 2. Calculate the smallest common multiple of 10 and m(-2).
20
Suppose 3*r - 3*h = -57, -r + 6 = -4*h + 28. Let q = -44/133 + -77/38. Find the common denominator of (-57)/r - 0/(-2) and q.
42
Let c = 1731/4 - 443. Suppose t - 43 + 12 = 0. Calculate the common denominator of t and c.
4
Let y be 10/(-4)*(-4 - -10). Calculate the common denominator of 57/4 and (-22)/10*y/(-24).
8
Let t = -41 - -44. Calculate the smallest common multiple of t and 11.
33
Let i be (-3426)/14 + (-8)/28. What is the common denominator of (-3)/(-9) - i/12 and -9/2?
4
What is the common denominator of -83/10 and 4/10*2850/216?
90
Let v = -349/17 - -2011/170. What is the common denominator of v and (-90)/8*4/(-11)?
110
What is the lowest common multiple of 3 - 1122/(-54) - (-2)/9 and 12?
24
Let k(d) = -d**2 - 16*d + 2. Calculate the smallest common multiple of k(-14) and 2.
30
Let q be -1 - (3 + 10299/30). Let j = 1691/5 + q. What is the common denominator of j and 2?
10
Let k = 547/18 + 64/9. Find the common denominator of k and 83/20.
20
Suppose 3 = 3*i - 99. Calculate the least common multiple of i and 18.
306
Let v = 1 + 1. Suppose v*b - 4*b = -16. Let r = 57 - 47. Calculate the smallest common multiple of b and r.
40
Let y(t) = 2*t**2 - 2*t. Let r = -29 + 33. Calculate the smallest common multiple of r and y(2).
4
Suppose 5*g = -4 + 44. Find the common denominator of -89/22 and ((-6)/g)/(72/664).
132
Suppose -4*v - 4*z = -6*v, 2*z = -3*v + 40. What is the smallest common multiple of v and 8?
40
Suppose b - 8 + 3 = 0. Let u(c) = c**2 - 2*c - 5. Let v be u(b). Let s = v + -7. What is the smallest common multiple of 11 and s?
33
Let u = 213/11 - 593/88. Find the common denominator of 18/((-30)/(-7) - 2) and u.
8
Suppose h - 75 = -5*r - 4*h, 5*r = 3*h + 35. Let w(j) = j**2 + 5*j + 3. Let k = -4 + -1. Calculate the lowest common multiple of w(k) and r.
30
Let l(q) = q**2 + 6*q - 50. Calculate the least common multiple of l(-11) and 15.
15
Calculate the common denominator of 117/196 and (4 - 535/100)/((-12)/(-55)).
784
What is the smallest common multiple of 24/(-10)*4/((-4)/5) and 18?
36
Let x be ((-36)/(-20))/(2/10). Let o be (x/(-6))/((-1)/(-12)). Find the common denominator of (4/o)/((-16)/404) and 83/6.
18
Calculate the least common multiple of 4 and -2*1/(-6) - 177/(-9).
20
Let a = 701 - 3476/5. Let n be (-24729)/2*3/(-36). Let c = -1033 + n. Find the common denominator of a and c.
40
Let d(a) = 4*a + 2. Let i be d(3). Suppose 0*p - p + i = 0. Suppose -4*t = -h + 16, 3*h - t - 37 = 22. Calculate the lowest common multiple of h and p.
140
Let x = -39 + 61. Suppose 3*a - 2*a = x. Calculate the lowest common multiple of 20 and a.
220
Let x = 835 - 435. Find the common denominator of (1/(-14))/(5/x) and (-2)/7 + 1116/(-308).
77
Let c(q) = q**2 + 5*q + 6. Let t be c(-7). What is the smallest common multiple of 22*(-2 + t/8) and 2?
22
Let v = 155 - 87. Suppose -3*b + v = -4*p, 3*b + 5*p - 27 = -4. Calculate the smallest common multiple of b and 12.
48
Suppose -85 + 19 = -3*x. Calculate the least common multiple of x and 18.
198
Let b = 6 + 0. Let d(y) = -y**3 + 7*y**2 - 5*y + 5. Let a(f) = -f**2 - 9*f - 8. What is the lowest common multiple of a(-6) and d(b)?
110
Suppose 2*c = -5*b + 418, -3*b - 2*c + 230 = -6*c. Let f = -8 - 0. What is the common denominator of (b/f)/(3/(-4)) and -121/10?
30
Let f = 2/2249 + 281089/40482. Calculate the common denominator of -69/22 and f.
198
Let u(y) = -357*y - 1. Let n be u(9). Let j = 19195/6 + n. Find the common denominator of (-4)/12 + (-346)/132 and j.
66
Suppose -4*a + 11 - 3 = 0. What is the smallest common multiple of a and 20?
20
Let i(p) = p - 3. Let m be i(6). Suppose -k - m*k = -32. What is the lowest common multiple of k and 22?
88
Let z(m) = -m**2 + 10*m + 1. Let a = -1 - -5. Suppose -4*g + a + 8 = 0, 4*w + 3*g - 17 = 0. Calculate the least common multiple of z(7) and w.
22
Let n = 19 - 34. Let t be 4/5*n/6. Calculate the common denominator of -47/22 and (-63)/(-48) - (-3)/t.
176
Let n = 4 + 14. Suppose g + 24 = -g. Let a = g + n. What is the smallest common multiple of a and 9?
18
Let h(a) = -2*a - 4. Suppose 48 = 2*g + g. What is the least common multiple of h(-8) and g?
48
Let o = -2 - -3. Let w be (-5 - -2)/o - -6. Suppose -4*t - 2*u = -18, -4*u = 3*t - w - 3. What is the lowest common multiple of t and 12?
12
Let r = -115489/4714 - 2/2357. What is the common denominator