Let y be (4/(-6))/((-7)/21). Suppose 50 = 5*p + 5*j, 3*j = -y*p + 4*j + 32. Let u(i) = -2*i - 4. Calculate the smallest common multiple of u(-10) and p.
112
Suppose -f - 68 + 78 = 0. Let x(l) = l**3 + 5*l**2 - 8*l - 8. What is the lowest common multiple of x(-6) and f?
20
Let o be ((-1736)/870 - -2)*2840. Let x = o + 8/29. What is the common denominator of (3/(-66))/(1/14) and x?
33
Suppose k + 4 = 2*k. Suppose -5*o - 28 = -i, -4*i - o - 36 = -8*i. Calculate the smallest common multiple of i and k.
8
Let b be ((-10)/(-4))/(5/20). Suppose 7*g - 2*g = b. What is the smallest common multiple of 7 and g?
14
Let r be 32/(-14) + 2/7. What is the common denominator of (-522)/140 + r/10 and (((-4)/(-8))/1)/(2/(-49))?
28
Let j = 4379/16 - 274. Find the common denominator of j and 109/6.
48
Let v(q) = -q**2 + 7*q + 1. Let d be v(5). Let p = d + -9. What is the least common multiple of p and 18?
18
Let q be (18/(-5))/((-4)/10). Let w be q/(-6)*-11*-2. Find the common denominator of (-1)/(-6) - (-136)/w and 63/22.
22
What is the common denominator of 19/20 and (-697)/(-612) - (-1 - (-22)/18)?
60
Let x = 13 - 31. Find the common denominator of (5 - 4) + x/14 and 3/(3/84*2).
7
Let o(h) = -1 + h + 1 + 2. Let q be o(4). Calculate the common denominator of 14 and q/(-8) - 338/40.
5
Suppose -7 = -2*t + 1. Suppose 0 = -5*j + t + 1. What is the lowest common multiple of ((20*1)/j)/1 and 6?
60
Suppose -h + 84 = 4*g, 6 = g + 4*h - 0*h. Calculate the lowest common multiple of 18 and g.
198
Let h be 2 + 9 + -4 - 1. Let d = h + 1. Calculate the smallest common multiple of d and 4.
28
Let r = -11 + 15. Let g be ((-10)/(-15))/(r/102). What is the common denominator of 137/6 and g/(3 - 75/3)?
66
Suppose 2*b = 7 + 21. Calculate the smallest common multiple of 10 and b.
70
Let w = 481/90 - 59/10. Calculate the common denominator of w and 25/7.
63
Suppose i = 4*i - 9. Suppose v = q + 2*v - i, -4*v = -3*q + 9. Suppose -2*c - c + 18 = 0. What is the least common multiple of q and c?
6
Let k(t) = -t + 1. Let f be k(-8). Suppose 5*l + f = 99. What is the lowest common multiple of 8 and l?
72
Let v = 1958/5 + -759/2. Suppose -2*r = -u - 34, -5*r - 4*u + 59 = -39. Find the common denominator of 0 + 1 - (-231)/r and v.
30
Let m = -1 + 1. Let l = m - -1. Let v(b) = -b**2 - 5*b + 3. What is the least common multiple of l and v(-4)?
7
What is the common denominator of 22/27 and 4/(-6) - (-5)/35*-3?
189
Suppose 5*b - 7 - 13 = 0. What is the lowest common multiple of b and 20?
20
Let w = 18 - -10. Calculate the lowest common multiple of 16 and w.
112
Let c(v) = v + 2. Let q be 7*2/28*20. Calculate the least common multiple of 18 and c(q).
36
Let f be (-2652)/(-4) + (2 - 1). Let x = f + -5403/8. What is the common denominator of x and 149/18?
72
Let v = 10423778005/339 - 30748630. Let l = 16401/904 - 145/8. Let c = v - l. What is the common denominator of 25/4 and c?
12
Suppose -4*s = -s - 27. Calculate the least common multiple of 2 + -4 - 0 - (-10 + -1) and s.
9
Let u be ((-6)/(-8))/(4/16). Let c = 2 + 9. What is the lowest common multiple of u/(-2) - 25/(-10) and c?
11
Let m = 3 - 3. Suppose m = 2*p - 5*p - 9. Let u = p - -5. What is the smallest common multiple of u and 10?
10
What is the common denominator of (-27 - 0)*28/24 and -29/4?
4
Let s be 5 - 5 - (0 + -5). Suppose -4*n - n + 2485 = -5*z, s*z = -n - 2467. Let c = -4003/8 - z. What is the common denominator of c and -25/11?
88
Let r(o) = 3*o**2 + o - 7. What is the lowest common multiple of r(-3) and 6?
102
Suppose 21 = 3*b + 2*o, -28 = -b - 3*b + 2*o. Calculate the smallest common multiple of b and 11.
77
Let l = 773/231 - 1/77. Suppose n - 5 = 0, -o - 7*n - 23 = -2*n. Calculate the common denominator of l and (-116)/o + 1/4.
3
Suppose 0 = 5*k - 2*p + 6 - 112, -4*p = -5*k + 102. Calculate the smallest common multiple of k and 6.
66
Let a be 1/2*(-2580)/(-14). Let u = 1773/14 - a. What is the common denominator of u and 7?
2
Let m(x) = -x**2 + x - 5. Let s be m(0). Let v = 9 + -6. Calculate the least common multiple of s*v/(3/(-2)) and 10.
10
Suppose -26 = 2*u - 56. Calculate the lowest common multiple of u and 9.
45
Let s = -18/251 - 10075/3012. Calculate the common denominator of s and -19/12.
12
Let r = -12553/14 + 6220/7. Calculate the common denominator of 10/4 + 2 + -2 and r.
14
Find the common denominator of (-53)/1*(-4)/56 and -149/18.
126
Suppose -q - 2*l + 6 + 3 = 0, -5*q + 4*l + 59 = 0. What is the smallest common multiple of 7 and q?
77
Let a(g) = g**3 + g**2 + 2. Let d be a(0). Let l = 1/3122 - 113955/6244. Calculate the common denominator of (-118)/(-24)*3/d and l.
8
Let b(p) = -p**3 - 2*p**2 - 6*p - 4. What is the lowest common multiple of 2 and b(-2)?
8
Let k(w) = 2*w - 4. Let g(r) = -2*r - 3. Let s be g(-4). Calculate the least common multiple of k(s) and (1 - (3 + -2)) + 2.
6
Let v be 146/(-11) - 1 - 1. Let l = -1286/77 - v. What is the common denominator of ((-27)/32 - -3)*4 and l?
56
Let j = -5615680 + 1785784517/318. Let l = j - 22/53. Find the common denominator of ((-2)/6)/(11/39) and l.
66
Find the common denominator of 13258/1260 - (-2)/(-9) and 7/10.
10
Let h = -2250 - -24810/11. Let l = -281/110 + h. What is the common denominator of l and -29/22?
110
Let g(w) = 2*w**2 + 9*w - 5. Let k be g(7). Let r = k - -109. Find the common denominator of r/20 - -1*1 and -28/3.
12
Suppose 0 = n + f - 28, -3 - 121 = -5*n - f. Calculate the smallest common multiple of n and 8.
24
What is the smallest common multiple of 151/17 - (-22)/187 and 3?
9
Calculate the lowest common multiple of (-2 + -1)/((-6)/40) and 2.
20
Suppose n = 3*w - 51243, 0 = -2*w + n + 47443 - 13281. Let p = w + -341513/20. Let q = -5317 + 42455/8. Calculate the common denominator of q and p.
40
Let p(y) = 1 - y**2 + 644*y + 2*y**2 - 648*y. Suppose -2*d - s = -7, -5*d + 14 + 20 = -3*s. Calculate the smallest common multiple of p(d) and 10.
30
Let q(h) = 7*h**3 - 16*h**2 - 9*h + 4. Let f(d) = 4*d**3 - 8*d**2 - 5*d + 2. Let g(p) = 5*f(p) - 3*q(p). Calculate the smallest common multiple of 12 and g(8).
84
Let y = 4503/154 + -375/14. What is the common denominator of 13/2 and y?
22
Suppose 5*c = 3*n + n - 66, -c + 40 = 3*n. Suppose n = w + w. What is the least common multiple of 1 and w?
7
Suppose 3*x = -3*a, -2*x + 3*a - 7 + 22 = 0. Calculate the common denominator of (-2)/4 + (-115)/6 and x*(-3 - 47/18).
6
Let t(v) = v - 1. Let n be t(3). Suppose 0 = 3*p - 10 - n. Calculate the lowest common multiple of 12 and p.
12
Let f = 16707/8 - 2080. Find the common denominator of f and 1 + -4 + 3460/240.
24
Let u(z) = 2*z**3 - 5*z**2 + 4*z - 5. Let q be u(3). Suppose 5*s = -2*t + 102, 14 = s - 2*t - 16. Let j = s - q. Calculate the least common multiple of j and 4.
12
Suppose 5*t - 5 - 10 = 0. Find the common denominator of -53/9 and (2/4)/(t/(-99)).
18
Let m be (-3)/(-5)*10/(-2). What is the common denominator of 214/(-72)*m*2 and -125/12?
12
Let u = -1439 - -320. Let z = u + 10097/9. What is the common denominator of z and -83/10?
90
Let o be (-2)/(28/(-6) - -4). Let w(y) = -y**3 + 4*y**2 - 2*y + 3. Calculate the smallest common multiple of 12 and w(o).
12
Let c = 2427 + -24247/10. What is the common denominator of 64/3 and c?
30
What is the least common multiple of 8 and 840/52 - (-10)/(-65)?
16
Let y be (-1)/(-4) - (-1124)/(-4304). Let p = 13157/2152 - y. Find the common denominator of 7/(-2*(-2)/(-7)) and p.
8
Suppose -33 = 5*k + 3*l, -6*k + 2*k - 29 = 5*l. Let b(z) = -z - 2. Let o be b(k). Suppose -u + 80 = o*u. Calculate the least common multiple of u and 10.
80
Let v be -2 - 1*(0 + -8). Calculate the common denominator of -21/2 and (-2)/(-5) - v/(-10).
2
Suppose -2*p + 5*p = 9. What is the smallest common multiple of p and 10/(-85) + -24*9/(-102)?
6
Let q = 1817/3 - 1231/2. Find the common denominator of -13/33 and q.
66
Suppose 5*b - a - 41 = 0, -5*b + 3*a + 49 = 4*a. Let u = 40 - 22. Let x = u - 9. Calculate the smallest common multiple of x and b.
9
What is the common denominator of -95/4 and (-2919)/(-264) + 14/(-77)?
8
Let l(f) = -136*f - 4. Let n be l(3). Calculate the common denominator of -62/5 and (-2)/(-8)*n/6.
30
Let h = 92655/16 + -5786. What is the common denominator of ((-14)/(-15))/(8/(-3)) and h?
80
Let n(d) = d + 4. Let v be n(