se 2*s = a + l, a + s = -a - 33. Calculate the common denominator of 38/(a/(-6) + 3) and 23.
8
Let k = 774/11 - 753014/10703. Let p = k - 73151/21406. What is the common denominator of 99/16 and p?
176
Suppose -3*j = 5*h + 237, -4*j = 6*h - 3*h + 140. Calculate the common denominator of (1*3)/(h/87) and -17/2.
16
What is the smallest common multiple of 4 and (-14)/(2*-1)*(-20)/(-14)?
20
What is the common denominator of 7/10 and 2/84*33 - 1?
70
Let c = -10 + 10. Suppose 0*d + d = c. Suppose -a - 2*a + 6 = d. What is the lowest common multiple of a and 10?
10
Find the common denominator of 3/3 - 138/28 and 71/10.
70
Suppose 8 = -7*b + 197. Calculate the smallest common multiple of b and 27.
27
Let q be 32822/8536 + 8/32. Let y = q + 4/97. Calculate the common denominator of y and -145/6.
66
Let j = 190583/14 + -13605. Calculate the common denominator of -17/20 and j.
140
Let v(u) = 0 + 1 - 3*u + 5*u. What is the least common multiple of (-15)/5 - 12/(-2) and v(4)?
9
Let q(d) = -d**2 + 8*d - 10. Let f be q(7). Let j = 1 - f. Suppose a + j*a = 15. What is the smallest common multiple of a and 8?
24
Let k be ((-11)/2244)/(6/(-20)). Let i = -4253/68 + 1091/18. Let g = i + k. Find the common denominator of -19/14 and g.
84
Let y = 7701/184929698 + -138087521173494129/10356063088. Let w = 13334080 + y. Let v = w + -718/7. Find the common denominator of 47/10 and v.
80
Suppose -3*w - b + 232 - 65 = 0, w = -b + 57. Suppose 4*o + 146 = 3*r, -o + 4*r = 60 - 17. Let k = o + w. What is the least common multiple of k and 6?
60
Let h = 8 + -2. Calculate the least common multiple of ((-6)/4 + 2)*h and 10 - (-5)/25*0.
30
Let n(h) = -3*h - h + 2 - 1. Let r(d) = -d**3 - 9*d**2 + d + 3. Let q be r(-9). What is the common denominator of n(q) and 119/6?
6
Let l be (-12)/(-10)*35/(-14). Calculate the common denominator of 20/3 and -2*(-106)/16 + l.
12
Suppose s - 18 - 12 = 0. Calculate the lowest common multiple of s and 2.
30
Let v = 3 + 7. Find the common denominator of 23/8 and 341/(-20) + (-2)/v.
8
Let j = 67 + -47. What is the lowest common multiple of (2*1 - 0)*2 and j?
20
Let o = -73 + 93. Calculate the smallest common multiple of o and 36.
180
Let d(x) = 2*x**2 + 7*x + 5. Let t be d(-5). Suppose -3*z = z - t. What is the lowest common multiple of z and 4?
20
Let w = -1418/231 + 169/21. Find the common denominator of w and 16/(-112) + 422/(-84) + 1.
66
Let a = 311996/15 - 20809. Let v = a - -23/5. Suppose 10*s + 55 = 5*s. Find the common denominator of s and v.
3
Suppose 8 = i - 7. Calculate the common denominator of 29/3 and -2 - -10*i/8.
12
Find the common denominator of 460/(-32)*4/(-10) and -143/6.
12
Let v(b) = b**2 + 4. Let i = 0 - -3. Suppose 0 = -i*y + y. What is the lowest common multiple of 10 and v(y)?
20
Let c = -277/2 + 175. Find the common denominator of -63/16 and c.
16
Let o = 8015 - 160351/20. Calculate the common denominator of 67/16 and o.
80
Suppose -4*a + 9*a - 15 = 0, 5*r - 119 = -3*a. What is the least common multiple of r and 12?
132
Let s(h) = -h**3 + h**2 + 18. What is the least common multiple of 28 and s(0)?
252
Suppose -a + 3*n + 8 = 0, 2*a + 0 = 4*n + 14. Suppose -a*p + 3*r + 11 = 0, -10 = -p - 2*r - 0*r. What is the common denominator of 59/2 and p/2 + (-10)/7?
14
Suppose -2*b = b - 24. Calculate the least common multiple of b and 2.
8
Let b = -15 - -97. What is the lowest common multiple of 4 and b?
164
Suppose 0 = -0*f + 6*f - 96. Calculate the least common multiple of f and 14.
112
Suppose -45*t = -34*t - 77. Let c = 3 + 1. What is the smallest common multiple of t and c?
28
Suppose -10*a + 11*a = 18. Calculate the lowest common multiple of 8 and a.
72
Suppose -a + 3 = -0*a. Let q(k) = -7*k + 0 + a*k - 2. Calculate the smallest common multiple of 3 and q(-3).
30
Suppose -3*o + 2*o = -27. Calculate the smallest common multiple of 15 and o.
135
Suppose 8 = -k - 2*k + 4*j, -27 = -3*k - 3*j. What is the least common multiple of 6 and k?
12
Suppose -20 = -3*k - 4*f, 3 = -3*f - 0. What is the lowest common multiple of k and 12?
24
Let f = 24079825/12 - 2008086. Let u = 1438 + f. Calculate the common denominator of 67/16 and u.
48
Suppose -h - 2*h = 6. Let v(l) = 3*l**2 + 3*l + 2. Calculate the least common multiple of 2 and v(h).
8
Let m = 4974/1505 + -3/602. What is the common denominator of (-6)/(-21) + (-222)/28 and m?
70
Let x = 73/19209249 - -224305360688/273635752005. Let c = x - 2/1295. What is the common denominator of 0 - (64/22 + -2) and c?
11
Suppose 247 + 385 = 4*b - 3*j, -4*b + 5*j + 632 = 0. Suppose 4*d + b + 34 = 0. Find the common denominator of -123/10 and (3/d)/((-1)/(-138)).
40
Let p = 2/167 - 20247/3340. Calculate the common denominator of p and 53/6.
60
Suppose 2*n - 6297 - 16691 = 5*v, -5*n + 3*v = -57432. Let h be (-2)/28*(-804435)/(-5). Let i = n + h. Calculate the common denominator of i and 111/10.
70
Let c(m) = -m**3 - 2*m**2 + 2*m + 2. Suppose 0 = f + 4*o - o, 0 = -2*f + o - 7. What is the least common multiple of c(f) and 9?
45
Let b be -10*(-2631)/198 - 0. Let h = 409/3 - b. Calculate the common denominator of h and 45/2.
22
Suppose -3*x - 5 = 2*x. Calculate the common denominator of -69/16 and (x/(-3))/((-20)/(-69)).
80
Suppose 5*z + 2 - 47 = 0. Let l(q) = q**2 + 6*q - 3. What is the least common multiple of l(-7) and 2/(-3) + 96/z?
20
Let r = 363917/213651 + 3/7913. What is the common denominator of 58/21 and r?
189
Let o = 146699/11895 + 2/3965. Let l = 11 - 6. Suppose 2*t - l*s = -52, 2*s - 4 - 20 = t. Find the common denominator of t and o.
3
Suppose 5*m - 32 = 23. Let l = m - 6. Suppose -2*c - 27 = -3*n, 0 = 2*n - 2*c + c - 19. What is the lowest common multiple of l and n?
55
Let r = -96223/16 - -6016. Find the common denominator of 55/18 and r.
144
Let a(z) = -z**2 - 11*z + 6. Let q(c) = -2*c + 5. Let d be q(7). Let v be a(d). Suppose 3*l - l = v. What is the lowest common multiple of 10 and l?
60
Let m = -61 + 68. Calculate the smallest common multiple of m and 28.
28
Suppose 2*y + s + 21 = 0, 3*y - 3*s = -45 - 0. Let c be 45/y*(0 + -4). Calculate the least common multiple of 174/c - 4/(-10) and 10.
60
Let m = -19291/231 - -578/7. Find the common denominator of -92/15 and m.
165
Let a = -10583/6 + 1775. Suppose 0 = m - 5*m + x + 1460, 0 = 5*m + x - 1834. Let y = -3994/11 + m. Calculate the common denominator of y and a.
66
Let i = 4 - -6. Calculate the least common multiple of i and 24.
120
Let q = 5585/42 - 406/3. What is the common denominator of -29/20 and q?
140
Let b = 213044/38349 + 2/12783. What is the common denominator of b and -107/10?
90
Let w = -6 - -12. Calculate the least common multiple of w and 12 + (-4)/(4 - 5).
48
Suppose 4*l + 0*l = 52. Calculate the least common multiple of l and 1.
13
Suppose 0 = -2*g + 4*s + 18, 0*s = -4*g + 3*s + 41. Calculate the lowest common multiple of (-3 + (-20)/(-6))/(1/18) and g.
66
Calculate the common denominator of 14/(-112) + (-3 - 0) and 41/2.
8
Let t(c) = -19*c**3 - 1. What is the lowest common multiple of 4 and t(-1)?
36
Let u = 10583/1296 + 1/1296. Find the common denominator of -8/9 and u.
18
Let j(w) = 13*w - 12. Let c be j(-10). Calculate the common denominator of (c/(-25))/(40/50) and -49/22.
110
Suppose 4*d - 2*d = 8. Find the common denominator of 19/14 and (-139)/36 + 1/d.
126
Suppose 7*w + 3 = 10*w. Suppose 0 = 3*l - 22 + 4. Calculate the lowest common multiple of 16*w + l/(-3) and 12.
84
Let m = 108 + -51. What is the common denominator of 1/(-3) - m/99 and 8/7?
77
Suppose -5*a + 160 = 8*u - 4*u, -2*a - u = -61. What is the common denominator of 17/4 and (-8)/a - (-467)/42?
12
Find the common denominator of -20 and (-968)/160 + (-3)/(-4).
10
Let d be (-11)/(-3) + 5/15. Suppose f = -f + d. Suppose -f*u - 3 = -0*u + t, 5*u + 4*t = -15. Calculate the least common multiple of u and 1.
1
Let j(d) = d - 4. Let q be j(4). Let u = -80263/14 - -5740. Calculate the common denominator of u and (-5)/6 + 0 + q.
42
Suppose -4*r = -3*c - 2*c + 37, -5*c = r - 47. Calculate the lowest common multiple of c and 5.
45
Let p = 56 - 49. Let i be 2 - 4 - 0 - -5. Suppose 0 = -i*y, -h - 2*y = 4*h - 5. What is the smallest common multiple of p and h?
7
Let h = -17033/560 + 213/7. Let o = -478/323 + 70217/25840. Let v = o + h. Find the common denomina