 0 = -2*x + 4*a - 54. Suppose t = 5*t + 732. What is the common denominator of x and 1/2 + t/66?
11
Suppose 0 = 3*o + o - 356. Calculate the common denominator of 79/8 and 2 - (o/(-8) + 1).
8
Let a = 7967/12 + -665. Calculate the common denominator of a and 67/22.
132
Let j = 23103/8 - 2892. Calculate the common denominator of j and -53/8.
8
Suppose 3*y + 480 = -2*y. Calculate the common denominator of 23/22 and ((-657)/y)/((-9)/6).
176
Let a(l) = -l**3 + 12*l**2 + 15*l - 17. Let j = 25 - 15. What is the lowest common multiple of a(13) and j?
90
Suppose -4*j + 60 = -3*j. Let y = j + -87. Calculate the common denominator of 62/(-6)*y/(-30) and -87/14.
70
Let t(s) = 3*s**3 - 2*s + 2. What is the least common multiple of t(1) and 11?
33
Let s = -3651/4202 + 1/191. Find the common denominator of s and 145/6.
66
Calculate the common denominator of (2/(-8))/((-14)/104) and 41/11.
77
Suppose -3*d - d = -24. Calculate the smallest common multiple of d and 56/(-7)*(-11)/4.
66
Let b be (-11)/9 + (-10)/(-45). Calculate the common denominator of b*((-291)/54 - 0) and 41/22.
198
Let k = -3/398 + -7939/2786. What is the common denominator of k and 119/6?
42
Calculate the smallest common multiple of 16 and (14/(-5))/(7/(-35)).
112
Calculate the smallest common multiple of 24 and (-12 + -4)*-2 + -2.
120
Let u = -46699/6 - -7801. Calculate the common denominator of u and -107/28.
84
Suppose 3*j = 0, -2 = -5*r + 2*j + 18. Suppose r*u = 3*u. Suppose v - 24 = -3*t + 3*v, u = t + v - 13. Calculate the least common multiple of t and 3.
30
Let q be (-1143)/1141 - (0 + -1). Let j = 8641/1141 + q. Find the common denominator of (0 - 1)*92/(-10) and j.
35
Suppose -f = -6*f + 4*n + 38, 0 = -5*f + n + 32. What is the smallest common multiple of f and 8?
24
What is the common denominator of (-71)/3 - (-6 + 3) and 17/4?
12
Let b = -3/11635 + -111872/11635. Let i = b + 1115/143. What is the common denominator of (17*2)/(7/(-1)) and i?
77
Let i(j) = 9*j**2 - j. Let s = 5 + -4. Suppose -6 = 3*g - 6*y + 3*y, -4*g = 5*y - 19. What is the smallest common multiple of i(s) and g?
8
Let i(h) = -114*h - 9. Let o be i(5). Let x = o - -1127/2. What is the common denominator of x and -29/22?
22
Suppose 13 = -s + 5*y, 11 - 2 = -3*s + 5*y. Let i be (1/2)/(s/1566). Let p = 415 - i. Find the common denominator of p and 16/9.
18
Find the common denominator of 39/11 and 102/33 + (-1)/(-1).
11
Let z be (-2 + (-248)/86)/2. Let n be ((-1)/(-5) + 1)*8210/3784. Let w = n - z. Find the common denominator of -39/20 and w.
220
Let k be ((-48)/(-153))/((-3)/(-72)). Let r = 1033/153 - k. What is the common denominator of r and -4/3?
9
Suppose 8*w + 15 = 13*w. Find the common denominator of 97/14 and ((-280)/12)/1 + w.
42
Suppose 0 = -c + 4. Suppose -2*d + 28 = c. What is the least common multiple of d and 20?
60
Let k = -37043/18 - -2064. Let v(y) = 37*y + 8. Let p be v(6). Calculate the common denominator of k and -2 - (p/(-44) - -1).
198
Suppose -193 = -5*p - 2*r - 48, -2*p + 2*r + 44 = 0. What is the smallest common multiple of 9 and p?
27
Let s = 1951 - 5800/3. What is the common denominator of s and 79/72?
72
Let v be (-4)/(-10) - (-224)/40. Suppose 7 = r + w, 0 = -5*r - v*w + 2*w + 34. Calculate the least common multiple of r and 14.
42
Let g be -1 + (6 - 0 - 0). Suppose -3*i - 82 = -6*i - 4*n, 4*i - 130 = g*n. Suppose 0 = 5*z - 15 - i. What is the least common multiple of 8 and z?
72
Let j be 0/(-1) + (-9 - 1). Let x = 26273/112 - 1618/7. Calculate the common denominator of (-3)/j*(-13)/(-2) and x.
80
Suppose -5 = -0*r - r. What is the smallest common multiple of r and 6?
30
Suppose 0 = -2*k - 0*k + 84. Suppose -17 = 5*b - k. Suppose -2 - 8 = -b*m. Calculate the smallest common multiple of m and 6.
6
What is the common denominator of 15/11 and 913/(-36) + ((-64)/72 - -1)?
44
Let d(j) = j + 5. Let y be d(-5). Suppose -30 = -5*i - y*i. Calculate the lowest common multiple of i and 3.
6
Let w be (-876)/(-8)*(-56)/6. Let f = 18425/18 + w. Calculate the common denominator of 195/(-26)*26/(-36) and f.
36
Let j be (-12415)/10 - 1/2. Find the common denominator of (2/96)/(12/j) and -25/4.
32
Let t(d) = -2*d - 10. Let r(m) = m - 2. Let x be r(2). Suppose -5*v - n - 2*n + 33 = x, 5*v = 3*n + 57. What is the lowest common multiple of v and t(-8)?
18
Let s be (-327)/4*(-470)/45. Let k = s - 841. Find the common denominator of 1*((-13)/(-8) + 1) and k.
24
Let d be 1/3 - 2067569/126. Suppose -5*i + 65647 = 4*p, -3*i = i + 4. Let s = p + d. Calculate the common denominator of s and 119/18.
18
Let a = 13 + -5. Calculate the smallest common multiple of a and 14.
56
Suppose -2*z + 2 - 36 = -3*b, -3*b + 38 = -4*z. Let n be ((-12)/b)/((-84)/(-615)). Let r = -66/7 - n. What is the common denominator of r and 93/14?
14
Calculate the common denominator of 2/8 + 42/32 and ((-10)/((-500)/(-15)))/(3/(-23)).
80
Let c(a) = 2*a**2 - 2. Let k be c(-3). Suppose f = 6*u - 3*u - 28, -k = 4*f. What is the lowest common multiple of 10 and u?
40
Suppose 0 = 5*x + 20, -2*m + 2*x + 68 = 2*m. What is the least common multiple of 27 and m?
135
Let i = -48046/9 + 5344. What is the common denominator of i and 10/(-45) - 37/9?
9
What is the common denominator of (305/10 - 1)/2 and -157/84?
84
What is the lowest common multiple of ((-18)/(-7))/((-3)/(-14)) and 20?
60
Let x(c) = -c**3 - 10*c**2 - 8*c + 10. Let w be x(-9). Suppose 2 = -h + w. Find the common denominator of (-37)/8 + 1 + h and -47/10.
40
Let n = 5 - 2. Suppose n = -2*f - 7. Find the common denominator of (-103)/10 + (-1)/f and 89/12.
60
Let n = -2 - 2. Let y(m) = 7*m**2 + 2*m - 2. Calculate the least common multiple of y(-2) and 4/(n/(-15)) + -1.
154
Let v = -300 - -507/2. Calculate the common denominator of -103/34 and v.
34
Let t be (8/28)/((-1)/(-16)). Let r = -3407/35 + 466/5. Let u = r + t. Find the common denominator of 13/8 and u.
56
Suppose -4*j - 5 - 19 = 0. Let b(z) = -3*z - 2. Suppose -2*r = -0*r - 12. Calculate the least common multiple of b(j) and r.
48
Suppose -120 = -5*h + b, -5*h = 5*b - 44 - 76. Let c be h + (-4)/2 + 2. Find the common denominator of (34/112)/(2/c) and -89/2.
14
Let x(p) = -19*p**3 - p**2 + 1. Let s be x(1). Let n = -7 - s. Calculate the least common multiple of n and 10.
60
Let n = 8 + -4. Suppose -f - y = f - n, y - 3 = -f. Calculate the lowest common multiple of 7 and f.
7
Let x(k) = -k**3 - 5*k**2 - 7*k - 1. What is the least common multiple of x(-5) and 22?
374
Let f(b) = 5*b**3 - 4*b**3 - b - 6*b**2 - 2 + 4. Calculate the common denominator of f(5) and 124/6*(-2 + 10/8).
2
Suppose 0*w - 3*w = -3*v, -20 = -5*w. What is the least common multiple of 110/8 + (-1)/(-4) and v?
28
Let y(h) = -12*h**3 - 2*h**2 - h. Let g = -447 + 451. Calculate the smallest common multiple of g and y(-1).
44
Let u be 3/12 + 81/(-4). Calculate the lowest common multiple of 4/1*u/(-8) and (6/(-5))/(3/(-10)).
20
Let r(u) = -4*u**2 - 4*u - 2. Let w be r(-2). Let m = 3 + w. Let y = 25 + m. Calculate the least common multiple of y and 22.
198
What is the common denominator of (-1135)/(-315) - ((-16)/14)/4 and 27/11?
99
Let c be (3/2)/((-6)/40). Find the common denominator of -1 + 1 + (-96)/(-10) and c/15 - (0 + -20).
15
Suppose -156 = -9*o + 168. What is the least common multiple of 6 and o?
36
Let g = 37 - 21. What is the smallest common multiple of 8 and g?
16
Suppose p + 4*p - 15 = 0. What is the lowest common multiple of p and -6 + 12 + (-4)/1?
6
Suppose 0 = -4*i + 70 + 30. What is the lowest common multiple of 11 and i/(-2)*(-4)/5?
110
Let a = 4567 - 2718. Let k = a + -20357/11. Find the common denominator of k and 2 + (-1 - (-34)/(-22)).
11
Let x(t) = 3*t**2 - t - 1. Let p be x(2). Find the common denominator of 1/(p*6/141) and 49/6.
18
Suppose 4*u - 38 = 22. Calculate the common denominator of 1047/(-180) + 1/(-3) and (-46)/11*u/20.
220
Let j(f) = -f**2 - 9*f + 7. Let p be j(-9). Suppose p - 87 = -4*v. Calculate the smallest common multiple of (-40 + -2)*1/(-3) and v.
140
What is the common denominator of ((-222)/(-4))/((-7)/1) and -7/2?
14
What is the common denominator of 1/1 - 60/11 and 1*(28/32 - 1)?
88
Let p = -41 - -81. Calculate the smallest common multiple of 8 and p.
40
Let r = -66797/12824 - -2/4809. Find the common denominator of r and 61/14.