Let p = 1027/3 + -2179/6. Calculate the common denominator of 34/(-44)*h/(-7) and p.
66
Suppose 0 = 5*f - s - 269, 157 = 3*f - s - 4*s. Calculate the lowest common multiple of f and 14.
378
Let r = -175 - -1069. Let i = -14297/16 + r. Find the common denominator of -13/16 and i.
16
Let t be (2/(-3))/(2/(-9)). Suppose 2*u = -t*k, 4*u = 3*u + 5*k + 26. Calculate the least common multiple of 18 and u.
18
Suppose -m - 8 = 10. Let t = m + 40. Calculate the least common multiple of 6 and t.
66
Let j(i) = i**2 + 10*i - 12. Let u be j(-12). Let w be (u/18)/((-2)/1974). Find the common denominator of ((-2)/4)/(35/w) and -42/11.
55
Let k be (-10491)/(-4) - 9/12. Let s = 26249/10 - k. What is the common denominator of s and -1*(2 + -1 + -47)?
10
Let q be 2/2 + 22609/(-198). Let z be (2 - 5) + -14*1253/(-154). Let b = q + z. Calculate the common denominator of b and -77/16.
144
Let j = 5703/1460 + -26/73. Calculate the common denominator of j and 93/32.
160
Let t = -789/55 - -89/5. Let u = 12499/6 - 2077. Find the common denominator of t and u.
66
Suppose -251*m = -248*m - 24. Calculate the smallest common multiple of 20 and m.
40
Let d(v) = v**2 + 3*v. Let z be d(-3). Suppose -g + z = -6. Suppose 6*s = 2*s + 16. What is the least common multiple of s and g?
12
Let h(l) = 6*l + 2. Let g be h(-4). What is the common denominator of ((-6)/63)/((-1)/(-81)) and g/3 + (-30)/(-45)?
21
Suppose -4*r + 0*r - 16 = 0, -2*p + 4656 = 3*r. Suppose 4*w = p + 2598. Let k = w + -9813/8. What is the common denominator of k and -81/20?
40
Let h(t) = t**3 - 8*t**2 + 8*t - 4. Suppose 4*i - 1 = 11. Calculate the least common multiple of h(7) and i.
3
Let b(s) = -s**3 + 2*s**2 - 2*s + 69. What is the lowest common multiple of 21 and b(0)?
483
Let h be (2 + -1)*2 - -1. Suppose 7 = -5*b - h. What is the common denominator of 83/22 and ((-319)/176)/(b/(-4))?
88
Let b = -481 + 766. Let v = b - 784/3. Calculate the common denominator of (-311)/63 + 22/(-77) and v.
9
Let z(p) = -3*p**2 - 11*p + 1. Let c be z(-4). Let l(b) = -b**3 + b**2 + 4*b. What is the lowest common multiple of 10 and l(c)?
120
Let n be (-4)/(-36) - 170/(-55). Let l = 2/99 + n. What is the common denominator of l and 2/(-8) - 154/16?
72
Let j = -150 + 168. What is the lowest common multiple of j and 296?
2664
Let z(j) = j**3 - 4*j**2 - j - 2. Let k be z(6). What is the common denominator of 8/2 + (-152)/k and 35?
8
Let t = 14 + -18. Let x be ((-36)/(-15))/(t/(-30)). What is the least common multiple of 10 and x/5 + (-10)/(-25)?
20
Let y(a) = -a**2 - 39*a - 94. Calculate the lowest common multiple of y(-28) and 14.
1498
Let d(u) = -u**2 + 14*u - 68. Let r be d(6). Let z(l) = 4*l**3 + l - 2. Let k be z(2). Let q = k + r. What is the lowest common multiple of q and 4?
12
Let z = 220331/37660 + -1/1883. What is the common denominator of z and -49/16?
80
Let r = 45 - 15. Let n be (-2 - -5) + -2 + r. Suppose n = 4*f + 7. What is the lowest common multiple of f and 6?
6
Let n = -42/5 - -26/5. Let i = -1/61 + 311/366. What is the common denominator of i and n?
30
Suppose f + 0*f = -4*x + 27, 2*x = -2*f + 30. Calculate the smallest common multiple of f and 25.
275
Suppose -9*r + 89 + 172 = 0. Find the common denominator of -73/18 and r/7*5*(-4)/30.
126
Let o(v) = 2*v - 3. Suppose -9 + 30 = 3*c - 5*x, 2*c + 3*x + 5 = 0. Let u = 6 - c. Calculate the smallest common multiple of 7 and o(u).
35
Let s = 478 - 299. Calculate the common denominator of 1 - ((-70)/(-36) - -2) and 6/27 - s/36.
36
Suppose -5*c - 3*g - 16 = 0, -5*g = -3*g + 4. Let t be c - (-2)/((-48)/145113). Let u = -6061 - t. Calculate the common denominator of 113/6 and u.
24
Calculate the common denominator of 50/57 and (-54)/513 - (1 - (-3051)/(-285)).
285
Let v = -1671/5 - -529702/1585. Let o = -14267/634 - v. Find the common denominator of o and -25/18.
18
Let s(y) = -y**2 - 24*y + 435. Calculate the lowest common multiple of s(-35) and 345.
3450
Let i be 2*3/(-3) - -7. Suppose -i*w = -w + 144. Calculate the least common multiple of w/54*(-27)/2 and 10.
90
Suppose -4*r = -4*b - 2 + 22, -b = r + 1. What is the lowest common multiple of b and ((-1)/2)/((-1)/40)?
20
Calculate the common denominator of (-9700)/14896 + 6/57 and -85/12.
588
Find the common denominator of 41/7 and 0 + 1 - ((-492)/(-210))/1.
35
Find the common denominator of 23/28 and (-26)/16*(-14 + 6 + 15).
56
Suppose 3*z = p + 52, 7*p + 48 = 2*z + 3*p. Suppose 0 = -0*g - 2*g + 36. What is the lowest common multiple of g and z?
144
Let j(r) = -2*r + 14. What is the smallest common multiple of j(5) and 26?
52
Let k be ((-15)/(-10))/(3558/12). Let m = 4789/8895 - k. What is the common denominator of m and -49/33?
165
Let s(w) = 867*w**3 - 7*w - 5. Let b be s(-3). Let x = -467953/20 - b. Find the common denominator of 31/20 and x.
20
Let i(d) = d**3 + 6*d**2 - 9*d - 6. Let j be (-47)/7 + 28/(-98). What is the lowest common multiple of i(j) and 12?
24
Suppose -p + 6 = -0. Suppose 0 = -3*f + p. What is the lowest common multiple of 10 and f*(-2)/(8/(-20))?
10
Let m be (-6)/(-9) + 68/6. Let y be (-2)/m - (-65)/30. Suppose 4*l = 5*a + 8 - 2, y*a - 2*l + 4 = 0. What is the least common multiple of a and 20?
20
Calculate the common denominator of 1 - (67116/(-9208))/(-7) and -57/4.
4604
Suppose -4*d - 124 + 140 = 0. Calculate the smallest common multiple of d and 32.
32
Suppose -4*k = -3*y - 18, 2*y - 7*y = 3*k - 28. Calculate the least common multiple of (-36)/21*(-21)/k and 14.
42
Let o = 1/1772 - -35427/23036. Find the common denominator of o and 16/4 - 150/(-9).
39
Let q(t) = t - 2. Suppose 7*m - 28 = 21. Calculate the least common multiple of m and q(11).
63
Let y be (-3)/(2 + -5)*-5. Let g be y/(-40)*(-1372)/6. Let h = g + 55/3. Find the common denominator of h and 111/14.
28
Let v = -18 + 8. What is the common denominator of ((-370)/15 + -5)/((-4)/(-3)) and (v/(-250))/((-8)/(-610))?
20
Let j(p) = p**3 - 5*p**2 - 9*p + 5. What is the least common multiple of -35 + 3509/99 + 2*248/18 and j(7)?
280
Suppose 2*a = 2*h + 2, 6*a - 4*a = -h + 11. Calculate the least common multiple of a and 111.
444
Let l = -3 - -11. Calculate the least common multiple of -8 - 78/(-9) - 426/(-9) and l.
48
Let f(s) be the first derivative of -s**2 - 5*s + 6. What is the lowest common multiple of f(-6) and 1?
7
Suppose 8*c - 11 = 5*c - 5*h, -c - 2*h = -4. What is the lowest common multiple of c and 8?
8
Let t = 11825 + -745037/63. Calculate the common denominator of t and -65/18.
126
Suppose -5*k = -20, r - 3*k - 328 = -2*k. Find the common denominator of 2/9 and r/90 + 4*(-9)/9.
45
Let i be (-35)/(-8) + (-54)/144. Suppose -48 = i*t - 8*t. Calculate the least common multiple of t and 10.
60
Suppose -6*w + 19*w = -52. Let a(d) = -d**3 + 3*d**2 + 4*d + 2. Let b be a(4). Calculate the common denominator of -36/11 and (-6)/(-11) - w/b.
11
Let r(v) = v**3 - 16*v**2 + 39*v + 2. Calculate the least common multiple of 64 and r(13).
64
Suppose 5*m + 2*g = 620, -9*g + 11*g + 262 = 2*m. What is the smallest common multiple of m and 16?
1008
Let q = 267 - 257. Calculate the smallest common multiple of 158 and q.
790
Let n(r) = r**2 + 1. Let m be n(2). Suppose -2*l = -m*l + 15. Let o(p) = 2*p**2 - 5*p - 1. Calculate the smallest common multiple of o(l) and 20.
120
Let s = -16067 - -16071. Calculate the lowest common multiple of s and (-6 + 2)/(4/(-6)).
12
Let k(v) = v**3 - 6*v**2 - 13*v - 6. Calculate the lowest common multiple of k(8) and (-12 - -6)*22/(-4).
198
Let n = -43767/14 - -568721/126. Let v = n + -1380. Find the common denominator of -123/10 and v.
90
Suppose 0 = a + 3*d - 6*d - 15, 2*d + 10 = -2*a. What is the common denominator of -1 - -1 - 142/44 and (a - (-219)/(-12)) + 4?
44
Let g = -492819/20 - -24636. Let t be 3/30*-2 + (-15113)/385. Let f = -5009/154 - t. What is the common denominator of f and g?
140
Let h = -10897/5 + 2188. What is the common denominator of 69/35 and h?
35
Let o(h) = -2*h. Let s be o(-3). Suppose 5*q = s*q - 24. Let d = q - 18. Calculate the smallest common multiple of 2 and d.
6
Let w be 245*(-1 + (-515)/25). Let c = w - -42275/8. Find the common denominator of c and -81/2.
8
Let s = -136 + 140. Suppose 33 = 2*y - 5*w - 47, 0 = 3*y + s*w - 74. Calculate the least common multiple of y and 22.
330
Let