
Let k = -9411902/1077 + 8739. Let m = 44159/2154 - k. Calculate the common denominator of m and (29*1)/(1 + -7).
6
What is the smallest common multiple of 18 and (9/5)/(60/400)?
36
Let c(b) = 3*b**3 + b**2 + b + 1. Let v = 3 + -4. Let j be c(v). What is the common denominator of 10/44 - 2/j and 55/18?
198
Let w be 20/(-12)*(-6)/(-2). Let i = w - -3. Calculate the common denominator of -65/6 and (-354)/(-120) + i/8.
30
Let s = 2258197962 + -22229700828993/9844. Let z = s + 2/2461. Calculate the common denominator of 23/3 and z.
12
Let p = 20 - 14. Suppose -1 = v - 8. What is the smallest common multiple of (-154)/(-21) - 2/p and v?
7
Let d = -35 + 59. What is the least common multiple of 24 and d?
24
Let y = 659/156 - 17/13. What is the common denominator of y and 61/8?
24
Let l = 985 + -10842/11. Calculate the common denominator of l and -5/2.
22
Let o = 2215/9 - 97439/396. Calculate the common denominator of o and -131/6.
132
Suppose 3*z = 5*r + 48, 0*r = -2*r. Let w = 18 - z. Calculate the lowest common multiple of 5 and w.
10
Let z be (8/(-10))/(2/(-5)). Suppose -1 + 7 = z*k. Let o(c) = -c**3 + 3*c**2 + 3*c - 1. Calculate the least common multiple of o(k) and 10.
40
Let j(q) = -5 + 1 + 0 + q**2 - 11*q + 0*q. What is the lowest common multiple of j(12) and 6?
24
Let b = 20068 - 1003311/50. What is the common denominator of b and 2/5?
50
Find the common denominator of 79/8 and 1/(-5) - (-2254)/345.
24
Suppose -2*h = -5*k + 49, -48 = -3*k - 6*h + h. Calculate the smallest common multiple of 3/(27/(-12) - -3) and k.
44
Suppose 2514 = 2*o + 13510. Let k = -43915/8 - o. Find the common denominator of k and 95/14.
56
Suppose 2*a = -0*a + 20. What is the least common multiple of a and 11?
110
What is the common denominator of (-10)/(-22)*28/8 and -93/8?
88
Let m(s) be the second derivative of -s**3/6 - 3*s**2 + 5*s. What is the least common multiple of 8 and m(-13)?
56
Let d = 54 + -32. What is the smallest common multiple of d and 20?
220
Let k = -93 - -201/2. Find the common denominator of -61/3 and k.
6
Let v = 46901/11 + -4259. Find the common denominator of v and 77/2.
22
Suppose -4*l = 3*i - 16, -32 + 7 = -5*l - 5*i. What is the common denominator of 17/12 and (l + 554/4)/30?
60
Let h = -38935 + 110536466/2839. Let k be ((-16)/42585)/(2/39393). Let c = k + h. Find the common denominator of -47/3 and c.
15
Let l = -9 + 17. Suppose 6*n = n - 5*k + 70, 16 = 4*k. Calculate the smallest common multiple of n and l.
40
Let r(v) = -v**3 - 6*v**2 - 8*v - 3. Let h be r(-5). Let f = 6 - 4. What is the lowest common multiple of f and h/2*24/18?
8
Let u be -1 + 1 - 6/1952. Let j = u - 45851/6832. What is the common denominator of j and -85/2?
14
Suppose -2 = -2*f + f. Calculate the least common multiple of f and ((-6)/(-4))/(3/20).
10
Let x(o) = o**3 - o**2 + 3*o - 2. Suppose -4*v + 7*v - 18 = 0. Calculate the least common multiple of x(2) and v.
24
Let i = -4 - -10. Let h = i + -5. Calculate the least common multiple of 10 and h.
10
Suppose -5*h = -w - 85, 3*w - 67 = -5*h - 2. What is the smallest common multiple of h and 8?
16
Suppose -5*y = -3 - 22. Suppose -c = -y - 1. Calculate the least common multiple of 4 and c.
12
Let k = -227/2850 + 11/57. Let l = 32/25 - k. Calculate the common denominator of (-4)/14 + 94/35 and l.
30
Let w = 540848 - 2151117/4. Let t = w + -3092. What is the common denominator of t and -14/3?
12
Calculate the common denominator of ((-147)/(-24))/(5/10) and 55/2.
4
Suppose 0*k = -2*k + 4. Calculate the smallest common multiple of k and 7.
14
Let z = 7 + -5. Let p be z/(2 + (-9496)/4746). Let v = 28441/12 + p. What is the common denominator of v and -115/12?
12
Let o = 8 + -3. Suppose -o = -d - 26. Calculate the common denominator of -55/7 and (d/(-8))/((-9)/(-42)).
28
Calculate the common denominator of -3 - 131/(-20) - 3 and 31/6.
60
Suppose 3*y - 349 = -316. Calculate the lowest common multiple of y and 7.
77
Let f = -1241578584029/64587900 + 1/16146975. Let g = -19234 - f. Let r = 557261/100176 - 2/6261. Find the common denominator of g and r.
48
Let h(q) = 2*q**2 - 4*q + 3. What is the least common multiple of h(3) and 67?
603
Suppose -4*p - 8 = 0, 5*p = -5*c - 0*p + 5. Suppose 0 = 4*r - 5 - c. Calculate the smallest common multiple of r and 20.
20
Let a = 124 - 117. What is the least common multiple of (-3)/(-2)*4/3 and a?
14
Suppose -2*j + 5*z = 2*z + 25, 3*j + 5*z + 47 = 0. Suppose 6 = o + 1. Calculate the lowest common multiple of (-28)/(-6) + j/21 and o.
20
Let j = -3 + 5. Let f = 1 - j. Let t(i) = -8*i + 1. What is the lowest common multiple of 9 and t(f)?
9
Suppose 0 = 12*p - 17*p + 105. Calculate the lowest common multiple of 18 and p.
126
Let u = -356477971/70 - -5092638. Let z = 486/5 - u. Calculate the common denominator of -89/6 and z.
42
What is the common denominator of 52/27 and (6 - 110/18)*(-177)/4?
108
Let a = -28 - -49. Calculate the lowest common multiple of 15 and a.
105
Suppose w - 6 = -w. Suppose -2*k + 0*g = -2*g - 268, 0 = w*k - 5*g - 410. Find the common denominator of 5/16 and 1 + 0 + k/12.
48
Let s(p) = 2*p**3 - 7*p**2 + 7*p - 6. Let a be s(4). What is the common denominator of (-3)/6 + a/(-6) and ((-1)/(-6))/(((-168)/(-959))/(-8))?
18
Let n = 4 - -6. Let q(m) = -m**2 + 7*m + 3. What is the smallest common multiple of q(6) and n?
90
Find the common denominator of 178/(-40) + (-5)/20 and 31/8.
40
Let g be 4450/(-40) + (-1)/(-4). What is the common denominator of (-3)/54*g/2 and 13/2?
12
Suppose 0 = -4*j + 21 + 11. Suppose 3*k = -2*d + 37, -2*d + 3 = -1. Calculate the smallest common multiple of k and j.
88
Let f be (-12)/9*(2 + -8). Let v = f - 4. What is the least common multiple of v and 16?
16
Let a = 15 + -12. Calculate the smallest common multiple of 1/(a/168*4) and 8.
56
Let q = 27/521 + -64353/5210. Find the common denominator of q and 25/12.
60
Let t = -3722 - -320157/86. What is the common denominator of t and 44?
86
Suppose 2*g = 7*g + 10. Let u be 0 - 2 - (0 + -12). Let p = g + u. What is the smallest common multiple of 6 and p?
24
Let n = -8 + 6. Let x = 15/68 + 473/476. What is the common denominator of ((-2)/(-8))/(n/(-186)) and x?
28
Let v(d) = -d**2 - 2*d + 1. Calculate the least common multiple of v(-2) and 16*(3 + (-20)/8).
8
Let z = -198/7 - -823/14. What is the common denominator of 24/11 and z?
22
Let g = 2/57 + 333/76. What is the common denominator of -13/132 and g?
132
Let a = -25 + 36. Calculate the lowest common multiple of 8 and a.
88
Suppose -5*j - 2*c - 5 = -14, -5*c = 15. What is the lowest common multiple of j and 1?
3
Let z(p) = p + 4. Let c be z(-5). Let d be 0 - (-4 + 3 + c). Suppose 0 = -d*y + 4*y - 22. What is the least common multiple of 8 and y?
88
What is the common denominator of -101/12 and (-332)/42 + 5/(-1 - 29)?
84
Let w = 4842 - 48367/10. Let g = 855 + -6849/8. Calculate the common denominator of g and w.
40
Calculate the least common multiple of 8 and (-8)/12 - 224/(-21).
40
Let c = 180 + -169. Calculate the lowest common multiple of 174 and c.
1914
Let b(p) be the second derivative of -p**4/12 - p**3/6 - 6*p**2 - p. Let r be b(0). Find the common denominator of 7/5 and 4/6 - 176/r.
15
Let r = 19047 + -228415/12. Calculate the common denominator of -37/32 and r.
96
Let j be 1254/(-4340) + 2/7. Let c = j + 90/31. Let m = 47059/10 + -4701. Find the common denominator of m and c.
10
Let w = 28 + -16. Let p = w - 7. Suppose -s + p*s = 88. Calculate the lowest common multiple of 16 and s.
176
Let j = -20847/379 + -72937/39795. Let p = -16/21 + j. Let u = 55 + p. What is the common denominator of u and 7/2?
10
Let p = 1/65 + 447/520. Calculate the common denominator of (-3)/24 + (-963)/(-312) + 0 and p.
104
Let w = 6 + 8. Suppose 3*g + 0*g - 36 = -5*i, -i + w = 4*g. Calculate the least common multiple of 20 and i.
60
Suppose -1378 = 4*i - 5*f, -4*i - 5*f - 99 = 1259. What is the common denominator of (6/(-64))/(1/(-38)) and (i/99)/(8/6)?
176
Suppose 3*x + 3*z - 5*z = 3872, -z = 4*x - 5148. Let i = x - 10317/8. What is the common denominator of i and ((-2)/20 - 0)*3?
40
Let s(t) = t**2 - 2*t + 3. Let b(c) = c**2 - 2*c + 2. Let d(n) = 6*b(n) - 5*s(n). Calculate the lowest common multiple of (3 + 11 - -2)*2/4 and d(-2).
40
Calculate the common denominator