7721/54985. Let r = -21 + 29. What is the common denominator of i and (4/r)/((-8)/178)?
56
Suppose -k + z = -2*z + 18, -5*z = -2*k - 34. What is the common denominator of -3 + (-2)/(k/(-97)) and 56/3?
6
Suppose 2*k + 3*a - 420 = 0, 5*k - 138 = a + 912. Calculate the common denominator of -79/2 and -75*(-3)/k*-5.
14
Let s = 183491/8808 + 3/2936. Let p = 0 - 75. Calculate the common denominator of s and 0/(-1) - p/40.
24
Suppose 18*v + 161 - 1241 = 0. Calculate the least common multiple of 48 and v.
240
What is the common denominator of -44/45 and (-6)/90*(-252)/(-44)?
495
Suppose 41 + 11 = 3*p + 2*l, 3*l = -2*p + 33. What is the smallest common multiple of 20 and p?
180
What is the common denominator of 2*(-3)/(-117)*-42 and -56/117?
117
Let p = -4193419961/288216222 - 13908/49369. Let i = p - 2/973. Let k = 3838 + -53667/14. Find the common denominator of k and i.
42
Let b = 106 - 75. Let z = 37 - b. Calculate the smallest common multiple of ((-2)/z)/(1/(-42)) and 26.
182
Let l(b) = b**3 + 2*b - 3. Suppose 4*g + 5*i = 36, 5*g = -5*i + 23 + 22. What is the lowest common multiple of l(2) and g?
9
Suppose 13 = 2*r - 9. Let x(g) = -2*g - 8. Let b be x(r). Find the common denominator of 13/2 and (-5)/6*(-801)/b.
4
Let h(q) = -q**3 + 6*q**2 - 3*q. Calculate the lowest common multiple of h(2) and (-144)/(-40) + (-4)/(-10).
20
Calculate the common denominator of 133/18 and (-12984)/(-7920) - (-2)/(-10).
198
Let c = 1384 + -37349/27. Calculate the common denominator of 23/216 and c.
216
Let d be (0 - (-4058)/(-4056)) + (-22)/(-22). Let t = -1881477316 + 11446908017249/6084. Let q = t + d. Calculate the common denominator of -11/30 and q.
90
Let t(z) = 43*z - 84. Calculate the smallest common multiple of 189 and t(2).
378
Let t = 20 - 1. Suppose 0*d - 5*r = 3*d - t, -5*d = 4*r - 23. Calculate the lowest common multiple of 4/(-6)*2*-3 and d.
12
Let o(f) = -f**2 + 1. Let n(v) = -2*v**2 - 5*v + 3. Let q(b) = n(b) - 3*o(b). Let u be q(6). What is the common denominator of (-588)/(-154)*(-8)/u and -5?
11
Let s(b) be the first derivative of b**4/4 + 6*b**3 - b**2 - 14*b + 16. What is the least common multiple of s(-18) and 42?
462
Suppose -5*q + 3*z + 37 = 0, 3*q - 9 = 2*q - z. Let s be (-8)/7*(-21)/6. Suppose 0 = s*v + 17 - 81. Calculate the least common multiple of v and q.
16
Suppose 66 - 15 = 3*u + 3*t, u = t + 7. Let i(k) = k**3 - k**2 - 4*k + 12. Calculate the least common multiple of i(3) and u.
36
Let l = -753 - -813. Calculate the lowest common multiple of 200 and l.
600
Let t(b) = -2*b - 1. Let x be t(-2). Let j(h) = h + 2. Let c be j(x). Suppose c*m = 3 + 2. Calculate the lowest common multiple of 6 and m.
6
Let g(x) = -x**2 + 11*x + 12. Let q(p) = 2*p**3 - 35*p**2 - 17*p - 9. Let f be q(18). What is the least common multiple of g(f) and 7?
210
What is the common denominator of (1 - 80/(-75)) + (-2)/(-4) and 1/255?
510
Suppose 118 = 4*z - 210. Let j = 100 - z. What is the smallest common multiple of j and 18?
18
Let w = -108 + 1606/15. What is the common denominator of w and 79/36?
180
Let u = -11 + 16. Suppose -5*y = s - 70, 4*y - 3*y + u*s = 38. Calculate the least common multiple of 9 and y.
117
Let r = 329 + -314. Calculate the least common multiple of 36 and r.
180
Let b be 0/(-11) - 0*(2 - 1). Calculate the least common multiple of 14 and (-36)/(-18)*6*(b + 1).
84
Let u = 6606/11 + -91725/154. Calculate the common denominator of u and -9/35.
70
Let l(i) = -118*i**2 - 2*i. Let r(y) = 2*y + 17. Let w be r(-8). Let c be l(w). Find the common denominator of 13/56 and 4/(-10) + (-788)/c.
168
Let k(f) = f**3 - 4*f**2 - 34*f + 27. What is the lowest common multiple of k(8) and 176?
176
Suppose 53 = -3*c + 5*r + 198, 4*r + 8 = 0. Calculate the smallest common multiple of 15 and c.
45
Suppose 0 = -4*s + 3*u + 196, 3*s - u - 118 = -6*u. Calculate the lowest common multiple of 138 and s.
138
What is the smallest common multiple of 20 and (260/182)/(6/(-7) + 1)?
20
Suppose 0 = -2*z + 3*v + 92, 8*z = 3*z + 3*v + 212. Calculate the least common multiple of z and 208.
1040
Suppose 5*f - 350 = -5*o, -2*o = -4*o + 5*f + 154. Find the common denominator of (-345)/2*(68/o - 1) and -53/6.
12
Suppose 4*o - p - 420 = 0, -3*o + p = -2*o - 102. Let z = -88 + o. What is the least common multiple of 27 and z?
54
Let i = -11537/8890 + -2/889. What is the common denominator of -97/70 and i?
70
Suppose 2*p - 60 = -4*k + 3*p, 0 = -k + 4*p. Let s = 6935 - 6929. Calculate the smallest common multiple of k and s.
48
Let r = -47/2 - -255/11. Suppose -2 = -3*a + a. Calculate the common denominator of 15/(-28)*10 - a and r.
154
Let j = -4623/4 + 1173. Find the common denominator of j and -69/1162.
2324
Let g be (2056/18)/(60/24). Let c = g - 368/9. What is the common denominator of -49/10 and c?
10
Let r = 5 + -5. Let m be 25*(r - -1 - -5). Let s = 1066/7 - m. Find the common denominator of s and 13/5.
35
Let g = -11053/30 + 1102/3. What is the common denominator of -101/600 and g?
600
Let j be (-30)/12 - (-261)/(-42). Let o = j + 991/84. Let p = 774195/34 + -22773. What is the common denominator of p and o?
204
Suppose -109 = -4*o + 67. What is the smallest common multiple of o and 8?
88
Let l(i) = -7*i - 34. Let v be l(-5). Suppose 45 - v = 2*n + 2*d, 2*d = 0. What is the lowest common multiple of n and 52?
572
Suppose -2*x + 2*y = -6, -5*x + 14 = -3*x + 2*y. Suppose -4*k = -x*q + 4*q - 53, 0 = k - q - 17. Calculate the smallest common multiple of 36 and k.
36
Let r be (-1613)/(-6) - (-2 + -1). Let u = -289 + r. Find the common denominator of (-42)/594 - -2*1/11 and u.
18
Let b(x) = x**3 - 4*x**2 + 2*x - 6. Let i be b(4). Let r = 18 + -50. What is the common denominator of -20/9 and r/5 + (-4)/i?
45
Suppose 3*x = -3*n + 18, -4*n - 1 + 17 = 2*x. Let k be n/9 - 87/27. Calculate the common denominator of -25/6 and (-23)/(-20) + 0 + k.
60
Let s be (-3)/(-12) + 785/(-20). Let i be -6*(s/9 + 3). What is the common denominator of 729/(-180) - (-2)/i and -15/8?
40
Suppose 4*y - 32 = 5*i, 17*y - i = 13*y + 32. What is the least common multiple of 116 and y?
232
Calculate the common denominator of 175/140 - 626/24 and -49/61.
366
Let f = -3213/3410 + 37/62. Calculate the common denominator of f and 83/10.
110
Suppose 5*r - 18 = 2*r. Suppose 2*m + 3*u = 49, -8*u = -3*m - 6*u + 80. Calculate the lowest common multiple of m and r.
78
Let a be (63591/36)/(4 - 10). Let g = 2409/8 + a. What is the common denominator of 11/10 and g?
90
What is the common denominator of 7/26 and -9 + (-1132)/(-572) - -7?
286
Calculate the common denominator of (-46)/(-36) - 5*(-14)/35 and -11/8.
72
Suppose 99 + 76 = 5*g. Suppose -2*y + n + g = 0, 2*n = 2*y - 10 - 20. Suppose 2*i + 2*t = 18, 16 = 2*i - t - 5. What is the smallest common multiple of i and y?
20
Suppose -5*b = q + 18, 30 = 5*q + 2*b - b. Suppose -p - 108 = -q*p. Calculate the smallest common multiple of 16 and p.
144
Suppose -31 = -4*o + 9. Let d(k) be the first derivative of k**3/3 - 11*k**2/2 + 11*k - 40. What is the lowest common multiple of d(o) and 7?
7
Suppose -2*k - 26 = 3*k - 3*d, 3*k + 24 = -d. Let z = 5 + k. What is the common denominator of 330/4*z/20 and -1/10?
20
Suppose -95 + 491 = -4*y. Let o = 2763 - 22059/8. Calculate the common denominator of (-272)/198 + 18/y and o.
72
Calculate the lowest common multiple of (1130/14 - -3) + 6/21 and 7.
84
Let o(q) = q**2 - 216*q - 103. Let w(p) = -54*p - 26. Let c(f) = -2*o(f) + 9*w(f). Calculate the smallest common multiple of 24 and c(-26).
24
Let f(g) = g**3 - 3*g**2 - 5*g + 6. Suppose 0 = -43*k - 515 + 718 + 1259. What is the least common multiple of f(4) and k?
34
Let c be (2/3)/(2/12). Suppose -3*z - 2*m = z - 26, c*m - 40 = -5*z. What is the least common multiple of (-8)/(5 - (0 + 6)) and z?
8
Suppose d + 14 - 18 = 0. Let w(m) = m**2 + 4*m + 6. What is the least common multiple of d and w(-4)?
12
Calculate the common denominator of -65/72 and (-3 - -2) + 8 - (-61170)/(-8100).
1080
Find the common denominator of (-18)/15*156/(-600) and 179/30.
750
Let g = 23 + -9. What is the lowest common multiple of 10 and g?
70
Let i = 7103/4 + -1786. What is the common denominator of i and 5/128?
128
Let w(d) = 9*d - 17. Suppose 12 = x + 3*x - 4*h, 0 = 5*x + 3*h - 47. Calculate the least common 