 = l + 12. Calculate the least common multiple of l and 4.
8
Suppose 0*s = s - 405. Suppose j = 2*k - 159, 3*k - 5*j = -2*k + s. Find the common denominator of -99/4 and (-1234)/k - 6/(-39).
12
Suppose -3*r = -3*c + 20961, c + 4*r = 2*c - 6972. Let u = c - 97933/14. Calculate the common denominator of (246/(-8))/(78/(-4)) and u.
182
Suppose -5*g = -2*n + 28, -g + 5*g = n - 20. What is the smallest common multiple of (-10)/(-3) + n/(-12) and 9?
9
Let d = 8 - 13. Let t(c) = -2*c + 2. Suppose -5*o + 4*x + 86 = 0, 5*x - 59 = 2*o - 5*o. Calculate the smallest common multiple of o and t(d).
36
Let z = -48809385/28 + 1743792. Let f = z - 1199/2. What is the common denominator of f and 7/2?
28
Suppose -5*k - 4*s + 54 = -4*k, 3*k - 3*s = 87. What is the least common multiple of 44 and k?
748
Let j(u) = -2 + 4*u + 2 + 0*u - 1 - u**2. Let v be j(5). Let p(d) = -d**3 - 7*d**2 - 8*d - 3. Calculate the smallest common multiple of p(v) and 11.
99
Suppose -18 = -4*q + 14. Suppose -2*o = 4*p + 68, 4*o = -p + 2*p + q. Calculate the common denominator of 39/2 and ((-18)/p)/(90/(-408)).
10
Suppose -621 = -3*u + 9. What is the least common multiple of 45 and u?
630
Let r = -205/46 - -1607/69. Calculate the common denominator of r and 126/(-4)*(-12)/28.
6
Calculate the common denominator of 99/80 and 5 + ((-18)/27 - 2554/660).
880
Let v be (-46)/4 - (14/(-4) + 4). Calculate the common denominator of v/72 - 119/(-39) and 11/12.
156
Let p = 4047 - 2365. Let z = -6777/4 + p. Calculate the common denominator of 1/9 and z.
36
Let z = -1966 - -5954/3. Find the common denominator of z and 59/42.
42
Let k be 1*1*(-1 - -1). Suppose -x + 3 = -k. Suppose 93 = 3*q + x. What is the lowest common multiple of q and 6?
30
Let o be 2 - 25*(-3)/33. Let n = o - -729/110. Let k = -2132 + 19162/9. Calculate the common denominator of k and n.
90
Let y = 19 + -13. Let p(v) = 6*v + 32. Let w be p(-5). Let m = w + y. Calculate the smallest common multiple of m and 5.
40
Let y(c) = 5*c**2. Suppose -20*j = -23*j + 3. What is the least common multiple of y(j) and 1?
5
Let g be (9/18)/(1/10). Suppose 5*r - g*f = 5, -r - 19 = 3*f - 8*f. Let v(t) = -t + 8. Calculate the lowest common multiple of 11 and v(r).
22
Suppose 84 = -2*k - 5*k. Find the common denominator of (-141)/(-20)*(-4)/k and 35/2.
20
Let k = -2152 - -49525/23. Calculate the common denominator of k and ((-40)/12)/(15/10).
207
Let j(m) = -7*m**2 + 25*m - 5. Let h(u) = 13*u**2 - 49*u + 11. Let x(i) = -6*h(i) - 11*j(i). Calculate the lowest common multiple of 7 and x(18).
7
Suppose -4*n + 7 = -13. Suppose -2*p + 3*a + 4 = -1, 0 = -4*p + n*a + 15. Calculate the lowest common multiple of p and (24/(-18))/(((-7)/(-12))/(-7)).
80
Let f(g) = 3*g - 22 + 2 - 29 + 3. Let m = 4 + 2. What is the lowest common multiple of f(19) and m?
66
Let n be (-15)/10*(-20)/6. Suppose d - 139 = -4*g, 2*d + 3*d = n*g - 205. Calculate the common denominator of -113/12 and ((-3)/14)/(g/(-390)).
84
Let s(b) = -b + 33. Let r be s(7). Let h = r + -30. What is the least common multiple of (-22)/h - 27/(-18) and 8?
56
Let v(m) = -m + 5. Suppose -3 + 12 = 3*u. What is the smallest common multiple of 8 + -4 + 4 - 2 and v(u)?
6
Suppose -62 + 21 = -u. Let p(k) = 7 - 31*k + 3*k**2 - 2*k**2 + 25*k. What is the least common multiple of p(6) and u?
287
Suppose 4464 = -10*x + 12*x. Let r = x + -11119/5. What is the common denominator of r and -4/3?
15
Let n be -4 - (-4 - -1) - -3. Suppose 0*l - l = n*p - 1, 3*l = -9. What is the least common multiple of p and ((-10)/4 + 1)*-2?
6
What is the common denominator of 59/154 and -4 + (-3844)/(-528) + 2 - 6?
924
Let y be (-4)/(-1) - 163820/40956. Let b = y - 829367/81912. What is the common denominator of -61/18 and b?
72
Let z be -48 + 1 + 3 - -4. Calculate the common denominator of (-4)/(-30)*(-234)/z and (118/(-6))/((-220)/(-33)).
100
Suppose 0 = -5*x - 5*u + 125, 2*x - 33 = x - 3*u. Calculate the lowest common multiple of x and (-159)/(-6) - (-5)/10.
189
Let r be 6 + 1*(1 - 1). Suppose -8*l + 6 = -r*l. Suppose 3 = l*o - 3. What is the lowest common multiple of 8 and o?
8
Calculate the common denominator of ((-249)/(-42) - -2)/(1728/168) and 101/12.
48
Let w(t) = t**3 - 13*t**2 - 15*t + 11. Let g be w(14). Calculate the common denominator of -89/8 and (-3)/(-72)*93*g.
8
Let h = -34462346/803 + 42917. Let f = -3436/803 + h. Find the common denominator of (9/21)/((-3)/(-52)) and f.
77
Let g = 95/31 + 1817/186. Calculate the common denominator of g and 83/12.
12
Let u(r) = -3*r**2 + 54*r + 10. Let o be u(18). Let a(d) = d**3 - 10*d**2 - d + 13. Calculate the least common multiple of 27 and a(o).
27
Let v be (3 - 6) + (7 - -2). Suppose v = -q + 22. Calculate the smallest common multiple of q and 28.
112
Let r be (6/4 + -3)*400418/(-60). Let u = 10008 - r. What is the common denominator of -33/20 and u?
20
Find the common denominator of 40/7 and ((-436)/(-256))/((-10)/(-4)).
1120
What is the common denominator of (-417)/(-60) + -3 + -3 and -3*(-1 + (-13)/6)?
20
Calculate the common denominator of ((2 - -55) + -4)/(-21) and 14/15.
105
Let f be (-8)/(-2)*(-1 + (-9)/(-6)). Suppose 0 = 4*z + r - 137, -f*r = -0 - 2. Calculate the smallest common multiple of z and 2.
34
Suppose 2*d = 2*f - 2*d + 3580, -f = -5*d + 1784. Let g = -8938/5 - f. What is the common denominator of (-217)/7*(-2)/18 and g?
45
Let r(n) = -n**2 + 8*n - 6. Let j be r(6). Let d = 1695 + -3349/2. Find the common denominator of d and 322/(-48) - 4/j.
8
Suppose 0 = -2*k + 2, 32*l - 36*l - k = -81. Calculate the smallest common multiple of l and 5.
20
Calculate the lowest common multiple of (-770)/56*(-8)/5 and 16.
176
Let n(a) = 27*a + 145. Calculate the least common multiple of n(-5) and 5.
10
Let x = 150438401/42 + -3582048. Let l = 1170/7 + x. Find the common denominator of l and ((-30)/4)/(168/(-68)).
84
Let a = -6065 - -18229/3. Find the common denominator of (-173)/(-30) + (-2)/(-5) and a.
6
Let x be (-3)/2 - (-27)/2. Suppose 2*f - x = -2*f. Suppose -2*o + 4*o = 14. Calculate the least common multiple of o and f.
21
Let o = -84637/16 + 5292. Let j(g) = -2*g**2 - 11*g + 35. Let w be j(-8). Find the common denominator of 4 - w/((-200)/228) and o.
80
Let d(q) = q**3 - 4*q**2 + q - 2. Let w(z) = 2*z + 6. What is the lowest common multiple of d(4) and w(4)?
14
Let w(x) = 7*x - 16. Let y(b) = b - 20. Let t be y(23). What is the lowest common multiple of w(t) and 30?
30
Let s = -8081/2211 - -128/33. Calculate the common denominator of s and 1/8.
536
Let d = 4 - 1. Suppose -3 = d*s - 4*s. Suppose 20 = 5*v + s*q - 2, 3*q = 4*v - 23. Calculate the least common multiple of 4 and v.
20
Suppose 31*n = 6*n + 25. Suppose 0*j + 2*j = 6. Calculate the least common multiple of n and j.
3
Let w(d) = 368*d - 2178. Let a = 96 - 41. What is the lowest common multiple of w(6) and a?
330
Let r = -15 - -20. Let k be 186/30 + (-1)/r. Suppose -18*p + 15*p = -k. Calculate the lowest common multiple of p and 36.
36
Suppose 0 = -78*v + 55*v + 12972. What is the smallest common multiple of v and 15?
2820
Suppose 3*s - 2 = k + 3, 0 = s - 4. What is the common denominator of k/(-33)*80/(-14) and 25/9?
99
Let x = -3/134 - 90/469. Let g = x + 260/21. What is the common denominator of 103/14 and g?
42
Let f(n) = n**2 + 7*n + 7. Let q be f(-7). Suppose -43 = -q*w + 62. Calculate the least common multiple of 12 and w.
60
Let d(b) = 2*b - 14. Let g be d(8). Suppose 2*n + 52 = 2*w, -g*n - 3 = 5. Let a(v) = v**2 - v. What is the least common multiple of w and a(-3)?
132
Let f = 1009809/148 + -6823. What is the common denominator of f and -85/14?
1036
Let i(q) = -2*q - 6. Let s be i(5). Let x(o) = o**3 + 17*o**2 + 15*o + 10. Let m be x(-16). Let d = s + m. What is the smallest common multiple of 12 and d?
60
Let t(v) = -4*v - 4. Suppose 0 = 3*h - 8*h + 15. Suppose 3*q + 3*r - 24 = 0, 2*q = -h*r - r + 20. Calculate the smallest common multiple of q and t(-3).
24
Suppose -13*b = 3*b - 176. Calculate the smallest common multiple of b and 48.
528
Suppose 5*k + 3*t = -t + 280, -160 = -3*k - 4*t. What is the lowest common multiple of k and 7?
420
Let g(w) be the second derivative of -2*w**3/3 - 21*w**2 - 29*w. What is the least common multiple of 20 and g(-15)?
180
Let u be -9*(-1161)/(-55) + 12/66. Let x = -