0
Let o(c) = c**2 - 8*c + 7. Suppose -4*h = -4*l + h + 52, 3*l = h + 39. Let k = l - 5. What is the lowest common multiple of o(8) and k?
56
Let m = 204 - 116. Calculate the smallest common multiple of m and 6.
264
Suppose 6*i - i - 30 = 0. Suppose -w + 20 = 5*t, 6 + i = 3*t - w. Suppose 5*y - 3*z - 2*z = 70, 5*z = -15. Calculate the lowest common multiple of t and y.
44
Let j be 2 + -1 + (-363)/75. Let q = j - -361/25. Calculate the common denominator of q and -67/9.
45
Let t(i) = -2*i**2 - 6*i - 13. Let m = 250/441 + 2/441. Calculate the common denominator of m and t(-6).
7
Let w = 809/101 - 164609/8080. Let u = 191/20 + w. Find the common denominator of -53/22 and u.
176
Let k be (-9 + 0)*(1 - 0). What is the least common multiple of 2 and 3/(-2)*132/k?
22
Let t = -4 + 6. Suppose t*q = -5*l + 50, l + 3*q = -0*q + 10. What is the lowest common multiple of 4 and l?
20
Suppose -2*a - a - 15 = 0. Let c = -3 - a. Suppose 5*w - q - 93 = 0, -3*q + 41 = 4*w - 22. Calculate the lowest common multiple of c and w.
18
Calculate the common denominator of -55/13 and 0 + (-895)/(-18) - (-16)/(-72).
26
Let k = -2 - -5. Suppose -k*g - 2*g = -70. Suppose -4*t - 3*u + 56 = -2*u, t - 4*u = 14. Calculate the least common multiple of t and g.
14
Suppose 1713 = 11*q - 377. Calculate the smallest common multiple of 10 and q.
190
Let n = -20 + 38. Calculate the lowest common multiple of n and 10.
90
Suppose -2*v + u = -5, 3*u = -2*v - 3*v + 29. Suppose -v*f - 3 = -31. Suppose 0 = -3*b + 6*b - 15. What is the lowest common multiple of b and f?
35
Let g(s) = -22*s**3 - 2*s**2 + 3 - 1 + 2 - 3. Let w be g(1). Let m = w + 91/4. Find the common denominator of m and -41/4.
4
Calculate the common denominator of 31/7 and (-133)/(-36) + 2/(-8).
63
Calculate the common denominator of 58/7 and (-8)/(-20) - (-3)/330*-32.
385
Let d(f) = -f + 12. What is the smallest common multiple of 13 and d(9)?
39
Let c = -275877179/5846960 - 209/110320. Let u = 22/53 - c. Let i = u - 517/20. Calculate the common denominator of i and -97/10.
20
Suppose 5*y = 20, 0 = -3*q + 3*y - 23831 - 78178. Let g = q - -815861/24. Calculate the common denominator of g and 5/6.
24
Suppose o - 12 = -5*a - 4, -2*o = -4*a - 44. Calculate the least common multiple of o and 14.
126
Calculate the common denominator of 6/(-9) + 1912/(-480) and 43/20.
20
Let s be (-11)/(-3) - (-2)/6. Suppose -x = r + 7, 2*r - 7*r = s*x + 32. Calculate the common denominator of -47/18 and (-17)/(-8) - (-2 - r).
72
Suppose -2*v + 48 = -y, -3*y - 2*y - 180 = 5*v. Find the common denominator of (-630)/12*6/y and 13/3.
24
Let a = 1546 - 18601/12. What is the common denominator of 73/8 and a?
24
Suppose -5*z + 20 + 10 = 0. Let h = 5 + z. Suppose -h = 5*n - 101. What is the lowest common multiple of 22 and n?
198
Let p = 2473/24 + -323/3. Calculate the common denominator of p and 93/2.
8
Let x(j) = j + 8. What is the smallest common multiple of 10 and x(-6)?
10
Let s = 283/5 + -274/5. Let w = 7/368 - -7509/1840. What is the common denominator of w and s?
10
Suppose 4*x - 28 = 2*x. Suppose -p + 3*l = -2*l + x, -3*p + 28 = -l. Calculate the least common multiple of 4 and p.
44
Suppose -r - w = 4*r + 6, 12 = 2*r + 4*w. What is the smallest common multiple of (-1)/(r/28*2) and 5?
35
Suppose 15*a - 87 = -27. Calculate the smallest common multiple of 6 and a.
12
Let a = -774 - -5427/7. Let v = -21 + 24. Suppose -67 = v*r + 5. Find the common denominator of r and a.
7
Let o(q) = -q**3 + 4*q**2 - 3*q + 4. Let z be o(3). Let j be (-1)/z + 77/(-28). Calculate the least common multiple of -6*j/6 - 2 and 4.
4
What is the common denominator of (3 - 149)/((-18)/1) and 38/7?
63
Suppose 10 + 8 = c. What is the least common multiple of 2 and c?
18
Let z be 4*694/(-5)*-5. Let f = 24959/9 - z. Let l = -497909/20532 + 2/5133. What is the common denominator of f and l?
36
Let n = 3 - 11. Let f be ((-11)/(-2))/((-4)/n). Let q = 18 - f. Calculate the smallest common multiple of q and 1.
7
Let y = -70/389 + 37795/4668. What is the common denominator of -19/16 and y?
48
Calculate the common denominator of -17/7 and 1/(-4) - (-186)/16.
56
Suppose 0 = i - 4*n + 7, -5*i = -2*n - 0*n - 1. What is the lowest common multiple of (5 + 3)*i/1 and 3/(-6)*2/(-1)?
8
Let t = -4 + 10. Let n(x) = -x + 13. Calculate the least common multiple of n(9) and t.
12
Suppose -z + 2 = 3*o - 15, 10 = 2*z. Suppose -o*u - u = -15. Suppose -29 = -u*q + 31. Calculate the smallest common multiple of 20 and q.
20
Let n = 88 - 81. Let a(d) = d**2 - 7*d + 6. Let f be a(6). Suppose o - 3 - n = f. Calculate the smallest common multiple of 10 and o.
10
Let m be 234/(-15) + (-6)/(-10). Find the common denominator of -1 + (m/12 - 1) and -61/10.
20
Let s = 6999 - 126023/18. Find the common denominator of -51/20 and s.
180
Let x = 1/39 - -617/273. What is the common denominator of x and -37?
7
Let v(i) = i**2 - 4*i - 9. Calculate the lowest common multiple of 7 and v(6).
21
Let w(j) = j**2 + 14*j - 22. Let m be w(-10). Calculate the common denominator of -43/12 and (m/(-20))/((-36)/(-30)).
12
Let q = 1360851/82 + -16596. Let h = q + 872/123. Calculate the common denominator of -41/6 and h.
6
Let v = -8 - -3. Calculate the common denominator of -23/6 and v/(400/(-532)) - 3.
60
Let t = 5/552 - 27655/6072. Calculate the common denominator of -59/9 and t.
99
Let r = 8 + 20. Calculate the common denominator of -58/5 and 21/108*r/1.
45
Let d = -9333716185925 - -11007998195355057831/1179380. Let o = d + 1/10820. Let k = -7283/2180 - o. Calculate the common denominator of k and 77/10.
20
Let v = -9 + 13. Let m be 4*((-10)/(-4) - -2). Let b = 26 - m. Calculate the lowest common multiple of b and v.
8
Let y(h) = -h**2 - 9*h - 13. Let u be y(-6). Let d be -3*(0 + 0 + 1). What is the least common multiple of 5 and (d/3)/((-1)/u)?
5
Let f(x) = x**2 - 9*x + 16. Let h be f(7). Suppose h*y - 2 - 6 = 0. What is the lowest common multiple of y and (-3 + 0)*(-6 + 3)?
36
What is the lowest common multiple of 52 and (-3)/(3/(-8))*35/14?
260
Let k(r) = -21*r + 3. Let t(j) = j + 1. Let u(i) = -k(i) + 2*t(i). Calculate the lowest common multiple of u(1) and 20.
220
Let d(v) = -23*v - 1. Let j be (0 + -2 + 2)/1. Suppose j = y + 2 - 12. What is the least common multiple of y and d(-1)?
110
Let b be (-3)/2 + 492/8. What is the common denominator of ((-4)/(-30))/((-9)/b) and 70/9?
9
Let l = 355/7398 + -3/274. Calculate the common denominator of -137/6 and l.
54
Let m = -5/397 + 15553/5558. What is the common denominator of m and -3 + 206/16 + 0?
56
Suppose 3*d + 3*x - 219 = 0, -4*x + 2*x = 4*d - 290. What is the least common multiple of d and 10?
360
Let q be 1 - -37 - 12/3. Let z = q + -24. What is the least common multiple of z and 3?
30
Let t(d) = -5*d**2 - 5*d + 2. Let f(n) = -9*n**2 - 10*n + 4. Let w(h) = -4*f(h) + 7*t(h). What is the lowest common multiple of w(-8) and 14?
154
Let y(i) = 4*i**2 - i - 1. Let z be y(-1). Suppose -z = -2*b + 6. Suppose -3 = -4*h - 4*f + b, -4*h + 16 = -4*f. Calculate the least common multiple of 9 and h.
9
Suppose c - 11 = -0*c. Calculate the smallest common multiple of (-2)/10 - 36/(-5) and c.
77
Suppose -4*w + 15 = 4*u + 3, -4*u - 4 = 2*w. Let c = -5 + 8. Let y = c - -15. Calculate the lowest common multiple of y and w.
72
Suppose -9 = 3*y - 15. Find the common denominator of ((-17)/4)/(y/(-3)) and 57/7.
56
Suppose -3*d - 19 + 55 = 0. Suppose 4*s = 20, -a = -3*s - 2*s + 22. What is the least common multiple of d and a?
12
Let h(m) = -m**2 + 7*m + 4. Let f be h(7). What is the least common multiple of (1/2)/(1/22) and f + 3/(-9)*-3?
55
Suppose 5*l = 4*j - 4, l = 3*l - 3*j - 4. Let u = 14 + l. What is the least common multiple of 4 and u?
20
What is the common denominator of 20/(-65)*1*11 and 31/5?
65
Let s be (-2)/6 - (-4088)/(-3). Let r = s - -2655/2. What is the common denominator of r and -79/18?
18
Let c(m) = -m**2 - 5*m + 7. Let r be c(-6). Calculate the common denominator of (-483)/(-270) - 2/5 and (r - 138/(-20))/(-1).
90
Let s(i) be the third derivative of -5*i**4/24 - i**3 - i**2. Suppose 20 = 17*p - 14*p + 2*w, 10 = 2*p + 3*w. What is the least common multiple of p and s(-4)?
56
Let k = -1117132/23 + 48579. Let i = k - 4311/230. Find the common denominator of i and (-2)/16*(-632