t a be i(-12). Let v = 198687/10 - a. Let k = v - -1114/55. Find the common denominator of k and 25/18.
198
Suppose -82*l + 3*w - 87 = -84*l, -l - 3*w = -39. Calculate the lowest common multiple of l and 15.
240
Let r(o) = 15*o + 184. What is the smallest common multiple of 22 and r(-12)?
44
Let c be 53999/4180 + 2/10. Let p = -45/19 + c. What is the common denominator of p and (-2)/(-7) - 130/(-28)?
28
Let a = -5 + -5. Suppose -q = 2*p - 0*p - 35, -q - 77 = -5*p. What is the smallest common multiple of (-24)/a*10/4 and p?
48
Let n(o) = -o**2 + 6*o - 4. Let d be n(4). Suppose -4*z = -d*c - 8, 4*z + c - 8 = -3*c. Calculate the least common multiple of z and 4.
4
Suppose 15*z - 96 = 384. Calculate the lowest common multiple of 72 and z.
288
Let u be 35151/15 - (2 + -2). Suppose 3*g + 5426 = 5*c - 6251, -c - 3*g = -2339. Let x = u - c. Calculate the common denominator of -76/3 and x.
15
Suppose 3*r - 447 = -0*j - 3*j, -j + 164 = -2*r. Calculate the least common multiple of j and 35.
770
Let d = -13737083119873/4458 - -3081445280. Let b = -50285 - -37361749/743. Let o = d + b. Calculate the common denominator of o and 139/18.
18
Let d be (-68)/(-11) + (-4)/22. Calculate the lowest common multiple of 24 and ((-3)/(-1))/(9/d).
24
Let y be (-2)/7 + (-5324)/476. Let o = y + 2527/204. Let h = -23/6 - o. Calculate the common denominator of 91/22 and h.
44
Let k(a) = 15*a + 107. Suppose -3*x = -0*x - 9. Suppose x*j = 2*j + 6. Calculate the smallest common multiple of j and k(-7).
6
Let r = 15 - 6. Let f be (30/(-8))/(-5) - (-340)/80. Suppose -f*q = -5*w - 0*w + 45, w - r = -5*q. What is the least common multiple of 5 and w?
45
Let g(m) = -m**2 - 6*m + 11. Let c be g(-8). What is the common denominator of (-2)/(-20) - 14/c and 35/6?
30
Let w(u) = -u**2 + 3*u + 2. Let b be -2 - 0/(-1) - -8. Let r be w(b). Let c = 34 + r. What is the least common multiple of c and 14?
126
Let t(l) = -l**2 + 23*l - 18. Let a be t(22). What is the common denominator of ((0 - a) + (-154)/(-16))*-2 and -47/32?
32
Calculate the common denominator of 0 + 114/22 + 3 + -7 and 27/7.
77
Calculate the common denominator of 65/36 and ((-33)/165)/((-16)/(-445)).
144
Let s(f) = -2*f + 16. What is the lowest common multiple of s(5) and 27?
54
Let a be 350/(-4)*(-24)/(-10). Calculate the common denominator of -23/6 and 1099/a + 2/(-6).
30
Calculate the common denominator of 27/7 and 4942/(-252) + (-2)/9.
42
Let d = -21 - -9. Let s = d - -42. Let j = 111 + -93. Calculate the smallest common multiple of j and s.
90
Let p(s) be the second derivative of s**4/12 - s**3/6 + s**2 - 2*s. Let n(m) = -4*m + 28. Calculate the smallest common multiple of n(3) and p(4).
112
Let q = -2010/17 + 8299/85. Let a = 1273/30 + q. What is the common denominator of a and 33/20?
60
Let s = -49 + 54. Let q(r) = r**3 + 8*r**2 + 6*r + 6. Calculate the lowest common multiple of s and q(-7).
65
Let l = 21961/44283 + 5/509. Find the common denominator of l and 14/9.
261
Let k = -625/6 + 111. Calculate the common denominator of (-26)/(-247) - 1213/152 and k.
24
Let j(a) = 13*a**2 + 4*a + 4. Let y be j(-3). Let t = -765/7 + y. Find the common denominator of 75/2 and t.
14
What is the common denominator of (-4539)/(-306) - (-10)/(-12) and -99/4?
4
Suppose 6*h - 3*h = 183. Let y = h + -51. Calculate the smallest common multiple of y and -2*((-3)/(-2) + -2).
10
Find the common denominator of 5/((-60)/8)*(-66)/1544 and 83/4.
772
Let v(w) = 17*w**3 - 7*w**2 - w - 6. Let t be v(-5). Let y = -13751/6 - t. Calculate the common denominator of y and -37/9.
18
Suppose -5*k + 0*k = -30. Suppose 0 = 2*h - 6*h + 44. Calculate the smallest common multiple of h and k.
66
Let y = 33 - 40. Calculate the lowest common multiple of 22 and (24/y)/(5/(-35)).
264
Let r = 14501 + -710520/49. What is the common denominator of r and (-202)/(-8)*(-2)/4?
392
Find the common denominator of 41/4 and (4/140)/(-12*(-7)/6405).
28
Let x(r) = -r**3 + 3*r**2 + 4*r + 4. Calculate the least common multiple of x(4) and ((-2)/(-6))/(2/6).
4
Let w be (-3 - 2)*5/(-25). Calculate the common denominator of 22/9 and ((-112)/36)/w - -1.
9
Let p(q) = -q**3 + 2*q**2 + q - 1. Suppose 2*b - 2*d = 2, b + 3 = 6*d - d. What is the least common multiple of 7 and p(b)?
7
Let b = -380914933/16 - -23821026. Let k = -13849 + b. What is the common denominator of k and 2/(-7) - 834/560?
80
Let w(p) = 2*p**2 + p - 4. Let z be w(-2). Suppose 6 = -z*a + 16, -2*k = a - 9. Suppose -2*y + 10 = 3*y. Calculate the smallest common multiple of y and k.
2
Suppose -31 = -5*m + 34. What is the least common multiple of 7 and m?
91
Suppose -5*i - 14 = -34. Suppose 0 = o + i - 9. What is the least common multiple of o and 4?
20
Let a(h) = -2 - 7 + 3*h - 12*h + 3*h**2. Let k be a(8). What is the common denominator of 5/9 and -3 - (-1 + k/(-33))?
99
What is the least common multiple of (-15)/(-9)*384/40 and (-2 - (2 - 0))*-5?
80
Calculate the common denominator of (-24)/180 + (-2288)/(-60) and -59/38.
38
Let l = -59740291679 + 627989946607237/10512. Let b = l + 25/5256. Let t = -47/16 + b. Find the common denominator of t and -19.
2
Let i = 109 + -89. What is the common denominator of 99/(-8) + 2/8 and 7 - 5 - (-86)/i?
40
Let j = -7533491/104 - -72438. Calculate the common denominator of 0 + -1 - 126/(-22) and j.
1144
Suppose -47 + 122 = 3*o. Suppose o = -2*i + 7*i. What is the smallest common multiple of 6 and i?
30
Let i = 193447/10 + -19461. Let g = i + 78091/670. Let c = g - 6067/938. What is the common denominator of 39/10 and c?
70
Suppose 39 = 2*j - 5*s, -4*j - 2*s - 64 = -7*j. Suppose 0 = 3*q - 4 - 2. Suppose q*p = 4 - 0. Calculate the lowest common multiple of j and p.
22
Let i = 11320/7 + -678241/420. What is the common denominator of i and 61/18?
180
Calculate the common denominator of 123/20 and 5/2 - (-201)/(-72).
120
Let d = 94 + -13. What is the least common multiple of d and 99?
891
Let v = -787095005153/3619 - -217489637. Let o = 3/329 - v. Find the common denominator of o and -2 - (86/7)/2.
77
Suppose 14*f - 15*f - 5*x = -21, 4*f + 3*x - 33 = 0. What is the smallest common multiple of 48 and f?
48
What is the least common multiple of 96 and (48/14)/((-134)/(-938))?
96
Let s(q) be the second derivative of q**4/12 + 2*q**3/3 + 2*q**2 - 7*q. Let v be s(-5). Calculate the smallest common multiple of (-3)/v - 222/(-18) and 18.
36
Let b(l) = 6*l - 1. Let r be b(1). Let a = 8 - r. Calculate the common denominator of -2 + (a - (-3)/24) and -47.
8
Suppose -4*p = i - 3*p - 22, 2*i + 4*p - 40 = 0. What is the lowest common multiple of 54 and i?
216
Let q = -104881/900 + 1048/9. Find the common denominator of q and -109/100.
100
Let a = -7706141/48 + 160532. Let p = a - -17/48. Let r = 22/71 + 2845/213. What is the common denominator of r and p?
12
Let h(u) = -u - 1. Let d be h(-6). Suppose d*x = 10*x. Find the common denominator of x - (0 - (-153)/(-6)) and 47/18.
18
Let s = -103906 + 8312367/80. Find the common denominator of s and -45/4.
80
Let s(b) = b**2 + b. Let k(o) = -o**3 - 6*o**2 + 2*o + 8. Let h be k(-6). Let c(n) = n. Let a be c(h). Calculate the least common multiple of s(a) and 10.
60
Let q be (48/32)/((-3)/(-16)). Let x(p) = -2*p + 25. Calculate the least common multiple of x(q) and 4.
36
Let c(p) = p**3 + 7*p - 6. Let h(o) = o**2 + o - 1. Let f(m) = c(m) - 5*h(m). Let r be f(2). Calculate the smallest common multiple of 372/18 + 6/r and 18.
180
Suppose 0 = 4*n - 4, 3*u + n = -4*n + 245. Find the common denominator of (9/2)/((-88)/u) and -101/6.
66
Suppose 5*t + 2*t - 84 = 0. Calculate the least common multiple of 21 and t.
84
Suppose -2*n + 4*b + 304 = 2*n, 2*n + 2*b - 172 = 0. What is the lowest common multiple of n and 111?
2997
Let p(r) = r**3 - 10*r**2 - 9*r - 17. Let h be 5/(((-2)/(-3))/2). Suppose -39 + h = -2*g. Calculate the least common multiple of g and p(11).
60
Let j = -39287/6 + 6524. Find the common denominator of (-81)/(-84)*(-13 - 1550/(-60)) and j.
24
What is the lowest common multiple of (-10775)/(-75) + (2/6 - 0) and 99?
1584
Let k = -1259/4576 - -1/416. Let g = -82799/29220 - -3/9740. What is the common denominator of k and g?
66
Let m = 14257/588 + 1/294. What is the common denominator of (-111)/42 - (-6)/18 and m?
84
Suppose 9*f = 40 + 140. What is t