et s(w) = 3*w**2 + w - 4. Let r = 6 + -7. Calculate the lowest common multiple of r - -18 - (-13)/(-13) and s(-3).
80
Suppose 0 = 7*t - 0*t - 28. Calculate the least common multiple of t and 8.
8
Suppose -3*b - 42 = -3*m, 3*m + 0*b = b + 38. Find the common denominator of 6/(-12) + (-142)/m and 79/2.
6
Let l(x) = x**3 - 8*x**2 + 6*x + 4. Let o be l(7). What is the least common multiple of 4 - 0/(o + 6) and 8?
8
Let l = 1/12028 + 12776/45105. Let j = 329/30 + l. What is the common denominator of 53/6 and j?
12
Suppose 5*c - 15 = 0, 2*c - 1234 = -2*o - 2*o. Suppose 0 = 5*p + 4*v - 36, 0 = -0*p + p - v. Calculate the common denominator of -51/11 and o/70 - p/14.
110
Let o = -2424 - -53319/22. What is the common denominator of o and -119/12?
132
Let q = -16282/5 + 618331/190. Find the common denominator of 19/20 and q.
380
Let j(w) = -2*w - 2. Suppose 3*z + 204 = -4*n, 0 = -z - 3*n - 41 - 22. Let r be (-2)/(-8) + z/32. Calculate the lowest common multiple of j(r) and 2.
2
Let f be (-12)/8*8/3. Let s(i) = -2*i**2 + 3*i + 4. Let o be s(f). Calculate the common denominator of (-292)/(-6)*15/o and -113/6.
12
Let l = -13 + 15. Let m(w) = 2*w**2 + 2*w + 1. Let d be m(-2). Let v = d - l. What is the smallest common multiple of 8 and v?
24
Suppose 1 + 3 = 4*p. Suppose 2*v = -p + 9. What is the least common multiple of 11 and (-2)/4 + 42/v?
110
Let h = -85 + 91. What is the lowest common multiple of 12 and h?
12
Let q = 3005 - 492817/164. Let d = q - 5509/820. What is the common denominator of 5/7 and d?
70
Let x = 10565129/82236 - 30801/308. Let p = x - -8/267. Let a = 2175 + -23906/11. Calculate the common denominator of p and a.
22
Let w = 10041004/863 - 11635. Let p = -31075/6041 - w. Find the common denominator of p and -5 - (1312/(-198) - 30/(-165)).
63
Suppose -i = 2*o + 62, 0*i - i + 169 = -5*o. Calculate the common denominator of 0 + (0 - (-58)/7) and o/(-2)*(-28)/12.
14
What is the common denominator of 122/6*(-33)/110 and ((-17)/9)/(-1) - 0?
90
Let g = 10679/4 - 2690. Calculate the common denominator of g and (20/88)/(2/(-34)).
44
Let m = 5/2 + -2. Find the common denominator of 127/24 and m.
24
Suppose 4*z - 17 = -q, 0*z = -3*z - q + 12. Let d = -10 - -32. What is the least common multiple of d and (2/z)/((-1)/(-30))?
132
Suppose -r + 9 = 4*b, -6 = -r - 9. Calculate the smallest common multiple of 12 and b.
12
Let j(a) = a**2 + 9*a. Let u be j(-9). Let i(d) = u*d + d + 11*d**2 - 2*d. What is the smallest common multiple of 8 and i(1)?
40
Let x = -1317 + 18429/14. Find the common denominator of -47/14 and x.
14
Suppose -5*w = -2*b + 58, 0 = -3*w + 4*w + 3*b - 2. What is the common denominator of -1 + (-90)/(-78) + (-339)/91 and w/3*30/16?
28
Suppose 2*u = -y + 4 + 10, 0 = -3*u - 3. What is the lowest common multiple of (-64)/(-10) - (-2)/(-5) and y?
48
Let d = 24 - 12. Let z = 49/4 - d. Let y = -3361/414 - 10/207. Find the common denominator of z and y.
12
Let s(o) = -o**2 + 7*o + 2. Let a(z) = -2*z - 1. Let w be a(2). Let m(f) = -f**3 - 6*f**2 - 8*f - 7. What is the smallest common multiple of s(6) and m(w)?
8
Let n be 4/4 - 81/3. Let v = 42 + n. Calculate the least common multiple of v and 2.
16
What is the common denominator of 2/6 - (-238)/(-12) and 35/4?
4
Let o = -16 + 17. Calculate the common denominator of 178/24 - 1/4 and o/(-5)*707/14.
30
Let s(o) = -o**3 + 4*o**2 + 6*o - 4. Suppose -37 + 5 = -4*y. Calculate the smallest common multiple of 3 + y/1 + -2 and s(5).
9
Let g(k) = 3 - 2 + 0 + 0 - k. Let r = -3 + 1. Calculate the lowest common multiple of 7 and g(r).
21
Let b = -853977060296/111715704135 - 2/123442767. Let z = -8/181 - b. Find the common denominator of z and 53/15.
15
Let f(r) = -r**3 + 14*r**2 - 12*r - 8. What is the least common multiple of 2 and f(13)?
10
Let s be (1 - 4)*4/(-3). Let r = -618/7 - -1537/14. Find the common denominator of r and 1*-2 + (-98)/s.
2
Suppose -i + 3*i - 4 = 0. What is the least common multiple of i and (4 - 1)*(-8)/(-3)?
8
Calculate the least common multiple of 18 and (-14)/3*2*3/(-2).
126
Suppose 1715 = -k + 6346. Let c = k - 46269/10. Calculate the common denominator of (-1)/1 + (-30)/(-8) and c.
20
Let b = 797/44 + -147/11. Let v = 5943 - 83151/14. Find the common denominator of v and b.
28
Let y = 29 + -24. What is the least common multiple of y and 12?
60
Let q = -1 - -3. Let g be (-4)/q + 2 - 5. Let n = g + 9. Calculate the lowest common multiple of n and 6.
12
Let b = 6 + -10. Let m be 8/(-42)*38334/b. Let t = m + -1819. Find the common denominator of -29/8 and t.
56
Let v be (7 - 15) + 2/(-2). Find the common denominator of 0/(-2) + (-96)/v and 23/4.
12
Suppose k = -4*u - 4, 5*k + 5*u = -0*k + 55. What is the smallest common multiple of k and 16?
16
Suppose -5*g = -101 + 1. Calculate the smallest common multiple of 1 and 1/2 - (-150)/g.
8
Let a = -165142 + 1354863/8. Let o = a + -4205. Calculate the common denominator of 47/16 and o.
16
Let r = -611 + 1073. Let g = r + -2765/6. What is the common denominator of (-1)/3 - 310/(-36) and g?
18
Let d(w) = -2*w - 12. Calculate the common denominator of d(19) and 91/18.
18
Let f = 446017/202 + -2208. Let j = 5459/1010 - f. Calculate the common denominator of j and (-23)/(-8) - 0 - 0.
40
Let k(q) = q**3 + 5*q**2 - 3*q - 6. Calculate the smallest common multiple of 10 and k(-5).
90
Let k be ((-3)/(-2))/(1/292). Find the common denominator of (-9)/(-6)*k/(-81) and -31/2.
18
Let o(h) be the second derivative of h**3/2 - 2*h**2 - 7*h. What is the least common multiple of 12 and o(4)?
24
Find the common denominator of 19/26 and ((-16)/(-4) + (-2 - -97))/16.
208
Let o(q) = -q - 9. Let c be o(-6). What is the least common multiple of 3 and (9/6)/(c/(-20))?
30
Let g = -871/36 - -91/4. Let x = 11 + -20. Calculate the common denominator of g and x/3 + 50/(-6).
9
Let j be ((-1918)/(-24))/(12/(-8)). Let t = -54 - j. Find the common denominator of t and -11/10.
90
Suppose -2*v - 3*q = 0, 6*v - 1 = 3*v - 4*q. What is the least common multiple of 7 and 1*v/(-2 + 5)?
7
Let f = 396/67 - -4159/804. Find the common denominator of f and 69/16.
48
Let g(p) = p**3 - 3*p**2 + 3. Suppose 5*j = 5*m + 2*j + 30, 3*j = m + 6. What is the least common multiple of g(3) and (4/m)/(10/(-165))?
33
Let u(l) = -l**3 - l**2 - l + 44. Let v be u(0). Calculate the least common multiple of 0 + v/(-3 + 5) and 4.
44
Suppose -2 + 10 = 2*n. Suppose 3*v - n = v. What is the least common multiple of v and 2?
2
Let x = 12/23770781 - 400466417227/138108237610. Let c = x + -1/2905. What is the common denominator of 107/22 and c?
110
Suppose 25 = 10*u - 275. What is the lowest common multiple of 24 and u?
120
Let i = -21507/6260 - 9/626. Let m = -16 + 10. Find the common denominator of 5/105*477/m and i.
140
Suppose -p + 5 = 2*x, 5*p - 28 + 3 = 0. Let a be (-6 - -5)*x/(-2). Suppose a = -0*c + 4*c - 44. Calculate the least common multiple of c and 10.
110
Let h be 2 + 2*1/1. Let i = -1063 + 19127/18. Find the common denominator of 1*(0 - 166/h) and i.
18
What is the smallest common multiple of ((-2)/(-8)*2)/(2/72) and 4?
36
Let g = 4 - 4. Let u(q) = q + 5. Let x be u(g). Suppose 2*f + f - 40 = x*l, -f = 2*l + 5. What is the least common multiple of 7 and f?
35
Let w(h) = -3*h**3 + 0*h**3 + h**3 + 3*h**3 + 4*h**2 - 6 - 7*h. What is the smallest common multiple of w(-5) and 34?
68
Calculate the common denominator of (11/(-20) - 0) + 3 and -11/18.
180
Suppose 4*i + m + 153 = -99, 0 = 4*i - 2*m + 252. Let f = 39 + i. Find the common denominator of 34/f + 2/(-1) and 97/18.
36
Suppose 5*l - 4065 = -5*j, 0 = -l - 2*l + 2*j + 2414. Find the common denominator of l/(-180) + 4/(-10) and -107/10.
90
Let r be -2*(-3)/(-3)*4. What is the common denominator of (-2 + (-78)/r)*4 and -61/5?
5
Let u = -4421/490 - -6/49. Find the common denominator of u and -58/9.
90
Let u(x) = 2*x - 5. Calculate the smallest common multiple of 18 and u(7).
18
Suppose 2*f + b = 32, 0 = -4*f - f + 5*b + 110. What is the lowest common multiple of f and 18?
18
Let x = 4 + -2. Calculate the common denominator of -77/10 and 158/(-12) - 3 - x.
30
Let n = 11 + -17. Let u = n + 10. Calculate the smallest common multiple of 7 and u.
28
Find the common denominator of 2*316/80 - -2 and 45/14.
70
Let o = 11159/8 + -1387. What is the commo