ose 0 = -a + 4*a + 60. Let r be 1/2*a/2. Calculate the common denominator of r/10 - 74/(-40) and 59/20.
20
Let k = 111 - 84. What is the least common multiple of 24 and k?
216
Suppose -d = 2*w + 1, 0 = 3*d - 3*w - w - 27. Let q(r) = 2*r**2 + 2*r - r**2 - 5 - 5*r - 1. What is the smallest common multiple of q(d) and 6?
12
Let h = -2/1077 - -95861/4308. Calculate the common denominator of (-1 - -2) + (-97)/8 and h.
8
What is the common denominator of (-15)/(-9) - (2 + (-2756)/4200) and 48/35?
350
Let d(a) = -a**3 - 6*a**2 + 9*a + 22. What is the lowest common multiple of 65 and d(-8)?
390
Let q = 21195515749/13574904 + -2/1696863. Suppose 12448 = -p + 9*p. Let s = p - q. What is the common denominator of s and 1/6?
24
Suppose -2*j + 2014 = -23*b + 25*b, -2*j = -4*b - 2020. What is the least common multiple of 10 and j?
5040
Let a(x) = 3*x - 17. Let i be a(7). Suppose 0 = -i*s - 1 + 5. Let t = -11 - -18. Calculate the smallest common multiple of s and t.
7
Let t(m) = 1586*m**2 - 11*m. Let d be t(8). Let o be (3006470/d)/5 + 2. Let j = -3/7244 + o. What is the common denominator of -39/10 and j?
70
Let o = -19936 - -956993/48. Calculate the common denominator of o and -107/76.
912
Suppose -5 = 2*o - 13. Let f = o + 2. Calculate the lowest common multiple of f and 18.
18
Calculate the common denominator of 54/221 and 233/(-55) - (2 - 26/10).
2431
Let r(g) be the first derivative of g**3/3 - 7*g**2/2 - 4*g - 3. Let y be r(9). Suppose -z - y = -59. Find the common denominator of z and 93/4.
4
Let u be -1 - (-37)/138*4. Let v = u + -863/483. Find the common denominator of 45/4 and v.
28
Let l(u) = u + 2. Suppose 0 = -4*h + 3*h + 4. What is the lowest common multiple of l(0) and h?
4
Let h(c) = -c**3 - 5*c**2 - 5*c - 2. Let v be h(-4). Suppose -v - 70 = -4*a. What is the smallest common multiple of 6 and a?
18
Let q be (1 - 2)*(3 + (-12)/3). Calculate the common denominator of 6 - 8 - ((-14)/(-3) - q) and -1/5.
15
Suppose -80 = -4*k - 32. What is the least common multiple of k and 16?
48
Let t(o) = o**3 + 6*o**2 + 2. Let q be t(-6). Let p(f) = -f**2 - 6 + f**2 - 5*f + f**q - 2. What is the least common multiple of p(7) and 4?
12
Suppose -4*i + 8*i + 1020 = 0. Let f be (-4)/(-3 + i/(-87)). Calculate the common denominator of 69/16 and f/(-8)*(-18)/(-21).
112
Let h = 1630 - 8186/5. Calculate the common denominator of -17 and h.
5
Suppose -2*y + 4*y - 6 = -2*j, 3*j = 4*y - 12. Suppose -3*n - y = -0*n. Find the common denominator of -123/10 and -3 - ((-23)/5 - n).
10
Let g = 47 - 44. Suppose 4*w - 1 - g = -2*q, -q - w = -2. Suppose -t = -6*t + 90. Calculate the lowest common multiple of t and q.
18
Let k = 2192/49 + -437469/9800. Calculate the common denominator of k and 7.
200
Let o = 14771 - 1890705/128. Find the common denominator of -65/16 and o.
128
Suppose -68 = -7*i + 3*i. Suppose -8*z + i = -63. What is the smallest common multiple of (-2)/(-4)*(27 - -1) and z?
70
Suppose 5*b - 147 = -5*y - 22, 4*b - 4*y = 140. What is the least common multiple of 435 and b?
870
Let f = -19529/11 + 1773. Let g = -1578/289 + -18095561/2890. Let a = g - -6255. What is the common denominator of a and f?
110
Let c(y) = -y**2 + 39*y - 122. What is the smallest common multiple of c(32) and 68?
204
Suppose 6*m + 5648 = 2*m. Let g = -31037/22 - m. Find the common denominator of g and 83/90.
990
Let r be 499298*4/(-576) + (-2)/(-9). Let f = 3477 + r. Calculate the common denominator of ((-43)/(-15))/((-8)/10) and f.
24
What is the common denominator of 70/315 + (-2266)/720 and -1/40?
40
Suppose 4*t = -q + 42, -3*q = -2*t - 4*q + 22. Let f = -6 + t. Suppose -10 - 6 = -2*c. Calculate the least common multiple of c and f.
8
Let f(x) = x**2 + 21*x + 20. Let g be f(-20). Suppose g = 8*o - o - 42. What is the smallest common multiple of 5 and o?
30
Let i be (-9)/1*8/(-183). Let c = -2275/976 + i. Let j = -2923/374 + 180/17. Calculate the common denominator of j and c.
176
Suppose 13 = 3*g - 4*c - 59, 0 = 4*g - c - 96. Suppose 0 = 4*b - b - g. Calculate the lowest common multiple of 11 and b.
88
Let l = -188 - -232. Calculate the least common multiple of l and 20.
220
Let k(t) = 3*t**2 + 65*t - 346. What is the least common multiple of k(6) and 76?
152
Suppose -5*p = -97 + 37. Calculate the common denominator of -149/36 and 210/(-16)*p/(-10).
36
Let q(c) be the third derivative of 1/8*c**6 + 0 - c**2 - 1/30*c**5 - 1/6*c**3 + 0*c + 1/12*c**4. What is the lowest common multiple of 2 and q(1)?
14
Let t = 1899 - 1813. Calculate the least common multiple of 12 and t.
516
Let f be (-2)/8*(-21 - -13). What is the least common multiple of 8 and 1 + f + 0 + 39?
168
Let h = -417 + 453. What is the least common multiple of 6 and h?
36
Let d(u) = -u**3 + 5*u**2 + 7*u - 9. Let i be d(6). Calculate the common denominator of (2/i)/((-4)/21) and (-6 + (-105)/(-20))/(18/268).
6
Let a be 151037/20 + (-1)/(-4). Suppose -637*f - 7563 = -636*f. Let p = a + f. What is the common denominator of 17/8 and p?
40
Let x(t) = -15*t - 3. Suppose -3*z - 2*o + 4 - 7 = 0, o = -3*z - 3. What is the smallest common multiple of 36 and x(z)?
36
Suppose -4*b = -4*g + 8, 0 = -b - 3*g + 13 + 5. Calculate the smallest common multiple of 258 and b.
258
Suppose -24 - 116 = -4*d. What is the common denominator of -1*((-2)/14 + (-12)/(-42)) and ((-132)/90)/(4/d)?
42
Let n = 230771/6 - 38142. Let y = n - 315. Calculate the common denominator of (1 - (-3)/(-48))*2 and y.
24
Suppose -8 = -4*j, -l + 3*j + 42 = -4*l. Let g = l - 4. What is the smallest common multiple of ((-32)/(-6))/(g/(-30)) and 4?
8
Let y be 84 - 8*(-1)/2. Suppose 2*u + 41 = 5*v, -5*u + 0*v - 2*v - y = 0. Calculate the common denominator of u and (-141)/33 - (-2 + 0).
11
Calculate the common denominator of 137/24 and -1 - ((-2)/(-27))/(54/891).
72
Let w(q) = 26*q - 36. What is the smallest common multiple of w(9) and 18?
198
Suppose 5*u = -3*t - 3 - 2, 3*t - 2 = 2*u. Let k = -2 - u. Let x = 2 - k. What is the least common multiple of 8 and x?
24
Let h(m) = 259*m - 1. Let s be h(1). Let c be (-38 - (1 + 1))/1. Calculate the common denominator of -1 - (s/c - 0) and -77/4.
20
Let c be 7/14 + 14384/18459. Let y = c + -3/2051. Find the common denominator of 3 + 0 - 173/18 and y.
18
Let x = -4482347/300830 + -2/30083. Let l = x + 136/15. What is the common denominator of 137/18 and l?
18
Find the common denominator of 31/315 and (-975)/75*2/(-98).
2205
Let j(d) = 2*d + 22. Let b be j(-12). Find the common denominator of b + 804/182 + (-4)/(-26) and 46/11.
77
Let u = 5 + -5. Let r be (41/123)/((-1)/(-36) - 0). Suppose u = -2*y + 2*w + 3*w + 2, y + 3*w = r. What is the least common multiple of y and 22?
66
Find the common denominator of (-140)/(-32) + (-31)/62 and -45/506.
2024
Let o(v) = -v**3 - 10*v**2 - v - 6. Let p be o(-10). Suppose p*w + 28 = 4*h, 2*w - 1 + 9 = -h. What is the least common multiple of h and 16?
16
Let a = 5/2 + -35/6. What is the common denominator of a and 37/18?
18
Calculate the smallest common multiple of 32 and (-62)/(-248) - (-455)/4.
1824
Suppose -73*f - 72 = -76*f. What is the lowest common multiple of f and 12?
24
Let n = 268 + -238. What is the smallest common multiple of 100 and n?
300
Let h(y) = -y**3 - 5*y**2 + 7*y + 2. Let t be h(-6). Let v be (-3)/(6/10) + -3. Find the common denominator of (t - -3)/(v/(-61)) and 34.
8
Suppose -4*a = 20, -x - 5*a + 2*a + 1 = 0. What is the smallest common multiple of 84 and x?
336
Let i = -1188 + 7111/6. Let d = -130 + 338/3. What is the common denominator of d and i?
6
Calculate the common denominator of -2 + 4/50*1365/40 and 13/90.
900
Calculate the smallest common multiple of 6 and 861/9 + (-7)/(-21).
96
Let j be -3 + (-4)/1 + 2. Let s be 1 + j - (-559145)/(-80). Let z = 6990 + s. What is the common denominator of z and -79/12?
48
Let s be (-26)/(-143) - 9192/(-22). Let q = 4157/10 - s. Calculate the common denominator of q and -1/4.
20
Suppose 3*u + 5*n + 146512 = -0*u, u - n + 48832 = 0. Let i be 2/2 + 528981/u. Let s = i - 3/2713. Find the common denominator of 21/4 and s.
12
Suppose b + 4*b = 40. Let c = 10 - b. Suppose -3*w = -w - c. Calculate the smallest common multiple of w and 4.
4
What is the common denominator of (((-1)/4)/((-5)/1070))/(-17) and -101/4?
68
Let t(a) = 11*a**3 + 4*