t r(n) = -2*n - 4. Let f be r(-4). Let x be (4/(-10))/(f/(-40)). Find the common denominator of -29/5 and 6/x + 8/10.
10
Let o be -9 + 6 + (-10)/(-2). Suppose d = o + 1. Calculate the lowest common multiple of d and 7.
21
Let v = 6 - 3. What is the least common multiple of 7 and v?
21
Suppose -3*i + 2*k + 15 = 0, -4*i = 5*k - 19 - 1. Calculate the lowest common multiple of 8 and i.
40
Let m = 2 + 0. Suppose -3*y = -m*y - 14. Let h(d) = -d**3 - 3*d**2 - 2*d. Calculate the least common multiple of h(-3) and y.
42
Let c be ((-4)/(-12))/((-2)/(-6)). Suppose -4*k = -4*p + 460, -p - p = -5*k - 239. Find the common denominator of -1 + c + (-244)/p and -39/14.
28
Let a = -34 + 15. Let i = 35 + a. Calculate the smallest common multiple of i and (-4)/10 + 36/15.
16
Suppose 0*r = -3*r + 2910. Let d = 7773/8 - r. Find the common denominator of -2*(-1)/(-4) + (-24)/(-60) and d.
40
Suppose 3*y = -q + 11, 3*y + 2*q - 2 = 11. Calculate the least common multiple of 4 and y.
12
Suppose 4*h - 28 = 2*v, -3*v - 2*h - 32 = -3*h. Let z = 2261/166 + -10/83. Calculate the common denominator of z and ((-604)/30)/((-8)/v).
6
Let l(x) = -x**3 + 9*x**2 + 9*x + 12. Calculate the least common multiple of 9 and l(10).
18
Suppose -3*z - 4 = z, -3*v = 5*z - 37. What is the least common multiple of v and 124?
868
Let u be (-62)/(-354) - (-2)/6. Let h = u - -3301/354. What is the common denominator of h and 1*-2 - (-72)/40?
30
Let l(v) = -v**2 + 7*v - 2. What is the smallest common multiple of l(6) and (-5*12/20)/(3/(-7))?
28
Let c be 293086/(-9)*1/(-4). Let d = c + -8139. What is the common denominator of d and 1/(3 - 5)*(-214)/20?
180
Let v(z) = 2*z**2 + 11*z - 4. Calculate the least common multiple of v(-6) and 84/24*(-4)/(-7).
2
Suppose -a = -4*l - 8, 0 = 2*a - 3*l - 1 - 10. Let j = a + 6. Let k(s) = s**3 + 6*s**2 - 2*s + 6. What is the least common multiple of j and k(-6)?
90
Let p = 27 + -17. Let c(i) = i**2 - 9*i. Let d(h) = -h. Let j(r) = c(r) - 6*d(r). What is the lowest common multiple of p and j(5)?
10
Let c be (-2 + 6)*(2 - 1). Let p = -1519/282 + 26/47. Let d = c + p. Find the common denominator of 69/4 and d.
12
Find the common denominator of 55/14 and ((-4)/104 - -1) + -3.
182
What is the common denominator of (-30)/(-108)*(-39)/10 and 1/6?
12
Let u = -10 + 6. Let i = 10 + u. What is the least common multiple of i and 5?
30
Let f(b) = -b - 1. Let d be f(5). Suppose -5*m + 6*g + 32 = 2*g, -2*m + 3*g + 10 = 0. Calculate the smallest common multiple of d/(1/4*-6) and m.
8
Let g = 17947/10 - 1788. Let w be (2/(-6))/(3/9). Find the common denominator of g and -1 - (w - 31/5).
10
Let w be -3 + -5 + 0/(-2). Suppose -3*d - 4*g = -281, -3*g + 0*g + 6 = 0. What is the common denominator of 71/2 and d/20*20/w?
8
Let q = 557/120 + -184/15. Let l be (-27)/(-4) + 2/8. What is the common denominator of q and 2/l + (-373)/154?
88
What is the common denominator of -21/8 and ((-11)/110)/((-2)/(-222))?
40
Suppose -4*a + 4*s = -133 + 1537, 2*s = -4*a - 1434. Calculate the common denominator of ((-23)/3)/(5/(-3)) and 3 + a/(-16) + -3.
20
Suppose 0 = 2*q - 3*q - m + 11563, -2*m = -10. Let w = q + -115681/10. What is the common denominator of w and -111/10?
10
Suppose 1111 - 425 = 7*m. What is the lowest common multiple of m and 4?
196
Let a(p) = -p**3 - 5*p**2 + 3*p - 14. What is the smallest common multiple of 11 and a(-6)?
44
Let f(g) = g**3 + 6*g**2 - 3*g - 14. Calculate the least common multiple of 11 and f(-6).
44
Calculate the common denominator of ((-94)/(-8))/((-15)/(-2)) and 13/21.
210
Let m be 23202/16*(-8)/(-6). Let t = m - 1896. What is the common denominator of 2 - 1/((-6)/133) and t?
6
Let i be (-94)/(-14) + 4/14. Suppose i = -r + 16. Calculate the lowest common multiple of r and 5*(-2)/(0 - 2).
45
Suppose z + 3 = 2*z. Let v = -12 - -6. Calculate the lowest common multiple of (-3)/((-9)/(v/(-2))) and z.
3
Suppose 0 = -2*p + 3*p - 2. Suppose -p*m + 16 = -0*m. Calculate the lowest common multiple of 6 and m.
24
Let d = 26 + -23. Suppose 18 = r - 5. What is the common denominator of d and r?
1
Let t = -8019 + 264661/33. What is the common denominator of -31/18 and t?
198
Find the common denominator of 7/5 and 10/((-34)/(-14) - 2).
15
Suppose -3*h = -7 - 11. What is the smallest common multiple of 6 and h?
6
Suppose 2*q + 17 = x + 5*q, 0 = -4*x - 2*q + 38. Suppose -10 = 5*o - 0. Calculate the least common multiple of x and (o/(-3))/((-1)/(-21)).
56
Let v = 8 + -10. Let j = 11 + -7. What is the least common multiple of j and (v - 28)*4/(-10)?
12
Calculate the least common multiple of 5/(-10) + (-70)/(-4) and 2.
34
Let j = 4 + 1. Suppose 0 = -j*t - 167 + 767. Suppose h - v = 14, 3*v + t - 42 = 5*h. Calculate the lowest common multiple of 4 and h.
36
Let l(o) = -o**3 + 5*o**2 - 5*o + 2. What is the least common multiple of l(3) and 9?
45
Suppose 0*z = -z + 1. Let n(m) = -m**3 + 11*m**2 + 6. Let o be n(11). Suppose -2*d + w - 3 = -7*d, 3*w + o = 0. What is the smallest common multiple of z and d?
1
Suppose -3*g - 4*v + 30 = 0, -6*g = -3*g - 4*v - 6. Let i = 11 + -6. What is the lowest common multiple of i and g?
30
Suppose 26 = -7*c + 9*c. Let i = -4 - -8. Calculate the least common multiple of c and i.
52
Calculate the common denominator of (-3)/(1/12*(-240)/18) and 23/12.
60
Let z(j) = -2*j - 24. What is the least common multiple of 12 and z(-13)?
12
Let i = -1582 + 22131/14. Calculate the common denominator of i and 37/22.
154
Suppose 5*r - 4*j = 41, j = 2*r + r - 26. Suppose 0 = 3*l - 5*l - 12. Calculate the smallest common multiple of (2 + l)/(7/(-14)) and r.
72
Let z = -9 - -15. What is the least common multiple of 5 and z?
30
Let l(p) = -p**3 - 11*p**2 + 12*p + 2. What is the least common multiple of l(-12) and (-1 + 0)/((-12)/108)?
18
Let k(l) = 3*l - 10. Calculate the lowest common multiple of k(4) and 10.
10
What is the smallest common multiple of 15 and (54/15)/(3/(-30)*-3)?
60
Let l = 102 + -86. What is the least common multiple of 44 and l?
176
Calculate the lowest common multiple of 8 and -1*(-1)/1*520/26.
40
Let l = 6409/176 - 448/11. What is the common denominator of 95/12 and l?
48
Suppose 5*q - 7 = 23. Let t = q - 16. Calculate the common denominator of 97/22 and ((-27)/t)/(14/30).
154
Let t(w) = -w**2 - 4*w - 1. Let m be t(-3). Let k be ((-4)/m + 4)/2. What is the smallest common multiple of 3 and 10 + (-1 - k)/1?
24
Suppose -2*t + 22 = -t. Suppose u = -5*o, 0 = 2*u + o - 6*o. Suppose 0 = -u*w - 3*w + 6. What is the smallest common multiple of t and w?
22
What is the smallest common multiple of 3 and (-1)/2*(-19 - 15)?
51
Let u = 509/20 - 177/10. Let w(x) = -62*x + 1. Let r be w(-1). Find the common denominator of u and 4/6 - 114/r.
28
Suppose 47 = 4*f + 39. What is the lowest common multiple of 8 and f?
8
Suppose 2*y - 6 = -y. What is the common denominator of -79/18 and (5 - y) + 190/(-32)?
144
Suppose 0 = 2*b - 15 - 3. Let v(l) = -l**2 + 11*l - 14. What is the lowest common multiple of b and v(8)?
90
Let d be (-2578)/(-2266) + -1 + 0. Let h = 329498/39655 - d. Let v = -439/315 + h. Calculate the common denominator of -23/2 and v.
18
Let q = 120/47 - 3271/1410. Let j = -183749 + 11025811/60. Let v = q + j. Find the common denominator of v and 97/14.
28
Let k = 9 - 2. What is the least common multiple of k and 3?
21
Let v be ((-6)/15)/(1/5). Let u be (-2)/v - (3 - 60). Suppose 5*k + 43 = 3*m + 3*k, 5*k = 3*m - u. Calculate the least common multiple of m and 11.
11
Let i be 0/(-1) + 140534/15. Let b = i + -1682779/180. Let l = 4/45 + b. What is the common denominator of l and 89/10?
20
Let g = -2438/3 + 803. Calculate the common denominator of g and -97/10.
30
Let r(o) = -65*o + 1. Let n be r(-1). Suppose 2*c + c - n = 0. Suppose 0 = -2*y + 4*y - c. Calculate the lowest common multiple of 7 and y.
77
Let g = -9300 - -111479/12. Suppose -566 = -4*j - 0*m + 2*m, 0 = -3*j + 3*m + 429. What is the common denominator of g and (-1014)/j + 2/(-5)?
84
Calculate the smallest common multiple of 30 and (-13)/(((-8)/(-20))/((-6)/5)).
390
Suppose 3*b - 2*b = -4*t - 13, -t - 19 = -2*b. Calculate the least common multiple of 9 and b.
63
Let k = 4742 - 38023/8. Find the common denominator of k and -95/4.
8
Let q = -7/80 - -267/80. Let w(a) = a**2 - 7*a - 8. Let y be w(9).