 Calculate the common denominator of 438/l*(-8)/12 and 17/20.
220
Let u = 111 - 6. Calculate the common denominator of 4/(-6) + (-476)/u and (17/(-15))/((-1)/(-3)).
5
Let h be ((-146)/(-10))/(1/(-176)). Let q = -2580 - h. Calculate the common denominator of q and 25/11.
55
Suppose 3*p + 3 = 3*s, -5*s = 2*p - 35 - 5. What is the least common multiple of s and 22?
66
Let s = 7 - 5. Suppose -5*a = 89 - 329. Suppose a = b + 2*b. What is the smallest common multiple of s and b?
16
Let m(u) = 3*u**3 + 2*u**2 - 2*u + 4. Calculate the least common multiple of m(2) and 1.
32
Let d = -5/1176 - 10363/5880. What is the common denominator of d and 107/30?
30
Let q = 30 - 22. Let j = 6 + q. Calculate the lowest common multiple of 16 and j.
112
Suppose 0 = -4*b + 8, 0*b + 2*b + 1392 = -2*q. Let f = 12577/18 + q. Find the common denominator of f and ((-657)/126 - -3)*1.
126
Calculate the common denominator of 1525/20*6/45 and -34.
6
Let k = -2239 + 3745. Let n be 4/10 + k/(-315). Let s = n - -655/84. What is the common denominator of s and -41/12?
12
Suppose -3*v - 5*q = -13 - 63, 52 = 2*v + 4*q. Calculate the smallest common multiple of 20 and v.
220
Let t = -115 + 70. Calculate the common denominator of 9/10 and t.
10
What is the common denominator of 3/4 and (-35)/(-12) - (-5)/(-10)?
12
Let y = -41 + 43. Calculate the least common multiple of y and 3.
6
Let v be (3/48)/((-323)/(-20)). Let x = v - -6214/969. What is the common denominator of x and 1/2 + 51/8?
24
Let f = -2 - -10. Let j(h) = -h**2 + 10*h - 10. What is the smallest common multiple of j(f) and 2?
6
Let m = -1783924/19 - -93866. Let u = -2701/133 - m. Find the common denominator of -59/2 and u.
14
Let j = 114628 + -3210033/28. Let y = j - -63/4. Find the common denominator of y and 47/10.
70
Suppose 61 = 5*t + 11. Let m = 90 + -44. Suppose -5*u + m = -4. Calculate the smallest common multiple of u and t.
10
Suppose 310 = -s + 2*s. Suppose 6*k = k + s. Suppose -4*x + k = 6. What is the lowest common multiple of x and 18?
126
Let f(h) = 2*h + 14. Calculate the lowest common multiple of 6 and f(-6).
6
Let d = -144983/10 + 14486. What is the common denominator of 71/21 and d?
210
Let u = -303 - -895/3. Find the common denominator of 53/9 and u.
9
Let k(t) = -7*t. Let j be k(-4). Find the common denominator of (335/(-25))/((-12)/(-10)) and (-98)/(-3)*21/j.
6
Find the common denominator of (-281)/36 - (-6)/27 and 115/14.
84
Suppose -70 = -13*y + 6*y. What is the least common multiple of 5 and y?
10
Find the common denominator of (-1)/4*496/(-24) and (-1)/(5*(-4)/26).
30
Find the common denominator of (101/5)/((-42)/(-15)) and -97/10.
70
Let m(a) = -3654*a**3 - 2*a**2 + 2*a - 7. Let j be m(-5). Let w = 80374841/176 - j. Let g = w - -25/176. What is the common denominator of g and -7/2?
8
Suppose 2*u = -u + 228. What is the common denominator of 0/1 + u/24 and 2/4*8/7?
42
What is the common denominator of (1 - 0) + (-11)/20 and 101/((-15)/1 + -1)?
80
Suppose d = 4 - 2. Let a = -3 + 9. Calculate the least common multiple of d and a.
6
Suppose -12 = 3*z, 0*m - z + 396 = m. Suppose -7*n + m = -2*n. Suppose p - n = -3*p. What is the smallest common multiple of p and 20?
20
Suppose -z + 4*v + 26 = 0, -z + 2*v = z - 40. Calculate the common denominator of (-4)/z + (-1418)/(-468) and 107/18.
234
Let b = 43 + -19. Let i(q) = -q**3 - 6*q**2 - 5*q + 4. What is the smallest common multiple of i(-5) and b?
24
Let a(k) = -k**2 - k - 9. Let f be a(0). Let j = 7 - f. Calculate the smallest common multiple of 22 and j.
176
Suppose -24 = -3*s - 0*s. Calculate the common denominator of 243/(-20) + (-2)/s and -47/10.
10
Let f(h) = -h**2 - 2*h + 9. Calculate the least common multiple of f(0) and 9.
9
Let h = 103/34210 - -682018752/119735. Suppose 5*m + 17099 = 3*p, -m = 4*p - 2*m - 22776. Let r = p - h. What is the common denominator of -121/12 and r?
84
Suppose 0 = -l - 3*g + 117 - 16, 3*l - 2*g = 358. What is the common denominator of l/(-6)*(-12)/(-160) and 1/1 - (-235)/100?
20
Suppose 2*m = 3*m - 32. What is the lowest common multiple of m and 8?
32
Let b(m) = m**3 + 13*m**2 - 14*m + 22. What is the least common multiple of (1 - 0)*8 + 2 and b(-14)?
110
Let m = -13 - -10. Calculate the common denominator of (m - 5)*4/(-9) and -32/5.
45
Let x = 75 - 73. Calculate the smallest common multiple of 10 and x.
10
Let n(v) be the third derivative of v**4/24 - v**3/6 + 9*v**2. Calculate the least common multiple of n(7) and 16.
48
Let i(m) = -16*m - 12. Calculate the lowest common multiple of 8 and i(-2).
40
Let y = -24 + 39. What is the smallest common multiple of y and 6?
30
Suppose 0 = 2*w - 3*f + 1, -4*w - 4*f = -0*f + 12. Let o be 1 + (-4 - w) + 1. What is the smallest common multiple of 11 and (o + -1)*(-20)/2?
110
What is the common denominator of -121/10 and (34/(-323))/((-4)/(-74))?
190
Calculate the common denominator of -11/18 and 118/6*60/520.
234
Let m = 7339/4 + -1821. What is the common denominator of m and (-3)/((20/(-250))/(2/(-10)))?
4
Suppose 0 = -4*h + 9 - 1. Calculate the lowest common multiple of 4 and (15/10)/(1/h).
12
Let c = 9 + -7. What is the smallest common multiple of 2 and c?
2
Suppose -2*o - 5*z = -21 - 24, 3*o = z + 25. Calculate the least common multiple of 1 and o.
10
Suppose -c + 1 + 10 = 0. Suppose -5*n + 2*r = -13, 6 = n + 2*r + r. What is the smallest common multiple of c and n?
33
Let y = 157/18 - -1621/36. Let u = 198357/20 + -9976. Let q = y + u. Find the common denominator of q and -4/11.
55
Suppose -5*i = 3*m - 15, i + 3*m - 2 = 1. What is the common denominator of -47 and 8/i*(-1)/(-4)?
3
Let l(d) = 15*d**3 - 2*d**2 + 1. Let a be l(1). Find the common denominator of -13/14 and 33/a - (-6)/(-3).
14
Let x be (-3 - 12)/(-5) + 2. Suppose 2*h + h = 2*u + 31, 0 = 3*h - 4*u - 35. Let t = h - x. What is the lowest common multiple of t and 11?
44
Let d be (4 - 6)*(2 + -1). What is the common denominator of (d/10)/(14/55) and 87/2?
14
Suppose 0 = -3*i + 3, 5*o - 25 - 31 = -i. What is the lowest common multiple of o and 4?
44
Let j be (-1)/(60/32 - 2). What is the common denominator of -61/5 and j/12*(-14)/(-12)?
45
Suppose 2*y = y. Suppose -4*d = -y*d - 24. What is the smallest common multiple of d and 22?
66
Let p = 89 - 27. What is the smallest common multiple of p and 6?
186
Let g = 308821/198 + -14287/9. Let f = 1991/5 + -19651/55. Let q = g + f. Find the common denominator of -53/10 and q.
30
Let g = 2 + -7. Let h(r) = -3*r - 7. What is the smallest common multiple of h(g) and 18?
72
Suppose x = -2*x + 24. Calculate the least common multiple of x and (-76)/(-18) + (-2)/9.
8
Let h = -20915/12 - -1732. What is the common denominator of 25/2*95/114 and h?
12
Let n = -1 + 5. Suppose 0 = -n*p - p + 135. Suppose -3*q - 2*a = -0*q - p, q - a = 14. What is the least common multiple of 10 and q?
110
What is the common denominator of 56/5 and 3/9 - (-229)/24?
40
Let t(y) be the second derivative of -2*y + 5/2*y**2 + 0 - 1/6*y**3. Calculate the smallest common multiple of t(-5) and 9.
90
Let x(h) = h**2 + 2*h - 1. Let i be x(1). Suppose b + 6 = i*b. Calculate the smallest common multiple of b and 10.
30
Let w = -35110441/2346410 + -7/42662. Let f = 180/11 + w. Let v = 371/2 + -205. Find the common denominator of v and f.
10
Let p be (-26)/(-6) - 4/(-6). Suppose 0 = p*x - 22 + 7. Suppose o + 16 = x*o. What is the least common multiple of 14 and o?
56
Let o = -2068/11483 - -1443392909/206694. Let z = o - 6985. What is the common denominator of z and (5/10)/((-9)/107)?
18
Let p = 4592 + -119435/26. Find the common denominator of p and -43/18.
234
Suppose 0 = 3*y + 4*z - 68, -y + 148 = 4*y - 2*z. Calculate the lowest common multiple of 2 and y.
28
Calculate the common denominator of -29/4 and 171/(-12) + (-6)/8.
4
What is the smallest common multiple of 16 and (-2)/((1 + -5)/8)?
16
Suppose -2*v - 78 = -14. Let q = -10 - v. What is the lowest common multiple of q and 18?
198
Let p(y) = -6*y + 2 + 12*y - 5*y. Suppose -4*j + 16 = -12. Calculate the smallest common multiple of p(-1) and j.
7
What is the smallest common multiple of (9/((-252)/16))/(8/(-28)) and 12?
12
Suppose 0 = -0*r + r. What is the lowest common multiple of (-165)/(-9) + (-1)/3 and 4*3 + r/(-1)?
36
Let i be -1 + 3 + 4 + -1. Suppose 4