
Let t be (-18)/((-4)/32*6). Let a = t + -8. Suppose 0 = 2*s - 6 - 2. Calculate the smallest common multiple of s and a.
16
Suppose 5*p - i - 96 = 0, -5*p + 4*i + 54 = -30. Calculate the lowest common multiple of p and 12.
60
Let s = 20 + -77/4. Let d(f) = f**2 + 6*f + 1. Let g be d(-6). Calculate the common denominator of s and (g/4)/((-3)/366).
4
Suppose 6*a - 3*a + 169 = 5*v, 4*a = 5*v - 172. Calculate the least common multiple of 8 and v.
32
Suppose -q + 4*q - c = 29, -q + 2*c = -18. Let m(b) = -b + 8. Let g be -3 + 1 - (-4)/2. Calculate the least common multiple of q and m(g).
8
Let t be 1 - 4 - (-12 + 16). What is the common denominator of (27/(-12))/(t/2) and -95/22?
154
Suppose -3*w + 116 - 362 = 0. What is the common denominator of 57/20 and (-1 + 2)/((-20)/w)?
20
Let q(k) = 8*k + 3. Find the common denominator of q(-2) and -5/7.
7
Suppose -12 + 3 = -3*j. Suppose o - 5 = -0*v - v, -o - 3*v = j. What is the least common multiple of 5 and o?
45
Suppose 4*m = 3*m + 18. Let n = m - 8. Suppose n = w - 0*w. What is the lowest common multiple of w and 14?
70
Let h = 30 - 22. What is the smallest common multiple of h and 53?
424
Suppose 0 = -2*d - d + 6. Let j(a) = -2*a**2 - 3*a. Let w be j(-2). What is the smallest common multiple of d and 366/18 + w/6?
20
Let c be (2/(-10) - -1)*-5. Find the common denominator of (-25)/(-4)*(c - -5) and 39/28.
28
Calculate the smallest common multiple of 20 and -28*36/12*(-2)/3.
280
Let a = 2642 + -58043/22. What is the common denominator of -71/12 and a?
132
Let b be 2 + 1500/(-374) + 2. Let h be (145/(-374))/(5/45). Let a = b + h. Find the common denominator of -79/8 and a.
8
Let k(w) = -w**3 - 8*w**2 + 20*w + 8. Calculate the smallest common multiple of k(-10) and 19.
152
Suppose 5*r + v = 37, 5*r - 3*r + 4*v = 4. Let a be 2/r - (-14)/8. Calculate the lowest common multiple of 2 and 1 + 0 + 6/a.
4
Let s(q) = q**2 + 2*q - 2. Let k = 30 + -27. What is the smallest common multiple of s(-3) and k?
3
Let m(z) = -23*z**3 + z + 1. Let k be m(-1). Suppose -o - 3*u = -2, 0 = 3*o + 5*u - k + 1. Calculate the least common multiple of o and 20.
140
Let t = -460 + 116. Let v = t - -1022/3. Calculate the common denominator of -73/10 and v.
30
Let c(s) = -s + 9. Calculate the least common multiple of c(8) and (-1)/5 - 102/(-10).
10
Let t(b) = -2*b**3 - 2*b**2 + 3*b + 2. Suppose -46 = -2*g - 2. Suppose 4*u - g = 3*s, 38 = 4*u + 4*s + s. Calculate the smallest common multiple of u and t(-2).
28
What is the common denominator of 32/3 and (-44)/(-6)*(-108)/(-16)?
6
What is the common denominator of 34/3 and (-2)/(-5) + (-549)/510?
102
Find the common denominator of -83*(0 + -4)/16 and -2/3.
12
Let l = -2864 - -22881/8. Find the common denominator of l and -109/10.
40
Let x(w) = w**2 + 6*w + 18. What is the smallest common multiple of 4 and x(-8)?
68
Let z = -8 - -26. Find the common denominator of 52/11 and 4/z + 161/21.
99
Let m = -42 - -54. Calculate the least common multiple of m and 8.
24
Let h = 27689/2 - 217220201/15690. Let r = -274597/86295 + h. Calculate the common denominator of r and -99/10.
110
Let l = 121/15 + -1447/105. Let v = 167/50 + -98/325. Calculate the common denominator of v and l.
182
Let f(g) be the second derivative of g**3/6 + 17*g**2/2 + 3*g. What is the smallest common multiple of f(-7) and 10?
10
Let r = 92103/16 - 5753. Let p(o) = o**2 + 5*o. Let a be p(-5). Calculate the common denominator of r and a + -1 - 73/(-22).
176
Suppose 0 = 4*y + 2*y - 228. Suppose -4*j + 46 = -a, -3*j - a = -0*a - y. Calculate the least common multiple of 6 and j.
12
Let t(x) = -3*x**2 - 2*x + 1. Let q be t(-2). Let m be (-150)/35 - 2/q. What is the least common multiple of 4 and 11/3 - m/12?
4
Let k = 1178 - 4665/4. Find the common denominator of k and 37/6.
12
Let s = -1138673/47118 - 2/7853. What is the common denominator of 87/4 and s?
12
Let s be ((-1494)/(-1498) - 1)*1. Let r = s - -5253/3745. Let j = r + -13/20. Calculate the common denominator of -71/14 and j.
28
Let u = 11232 + -2172. Let d = -126769/14 + u. Calculate the common denominator of d and 174/45*(-3)/(-8).
140
Suppose -308 = 7*m + 21. What is the common denominator of m and 27/10?
10
Let s = -287657/16 - -16960. Let p = s + 1017. Calculate the common denominator of p and -13/6.
48
Let f = -5813/4 + 1466. Calculate the common denominator of (1638/4)/9 + 0 and f.
4
Suppose 0 = 3*y - 4*d + 6*d + 4, -2*d = -3*y - 8. What is the common denominator of ((-276)/6)/(y - -9) and 54/5?
35
Suppose 58 - 139 = -3*g. Suppose -5*n - g + 67 = 0. What is the least common multiple of n and 10?
40
Suppose 7*f + 64 = 11*f. Suppose l - 6*l + 54 = 4*s, 2*s - 6 = -l. Calculate the smallest common multiple of f and l.
112
What is the common denominator of 11/12*(15 + -26) and (-1)/4 - 21/(-9)?
12
Let u(c) = c**2 + 7*c + 5. Let m be u(-4). Suppose 0 = 14*p - 10*p - 8. What is the lowest common multiple of p and 256/14 - (-2)/m?
18
Find the common denominator of (-20202)/420 - 6/(-10) and -55/18.
18
Suppose 0 = -4*f - 4*t + 44, f - 1 = -3*t - 0*t. Suppose 10*k = 118 + 62. Calculate the least common multiple of k and f.
144
Let s be -6*(-4)/(16/790). Calculate the common denominator of s/140 + (-2)/(-7) and 26.
4
Let c = 11536 + -69067/6. What is the common denominator of c and -1/4?
12
Let c = 6604/231 + 148/21. Let h = 4861/154 - c. Calculate the common denominator of h and -33/8.
56
Suppose -5*s = -2*t - 225, 0 = s - 0*t + 4*t - 23. What is the lowest common multiple of s and 5?
215
Let v = -3343832605/23962224 - -1435228/52365. Let i = v - 393/715. Let p = -112 - i. Calculate the common denominator of p and -1/2.
16
Let z be 69/(-14)*6/(-53). Let h = z - -84/53. Calculate the common denominator of h and -13/7.
7
Suppose 0 = 4*m - 14 - 2. Suppose -y = 5*x + 9, 5*x = y - 0*x - 41. Calculate the smallest common multiple of m and y.
16
Suppose 3*d - 3 - 3 = 0. Let h(n) = -2*n - 1 + n + d*n. Calculate the smallest common multiple of h(3) and 5.
10
Let q = -374 + 831/2. Let v = 2809/8 + -352. What is the common denominator of v and q?
8
Let v be 47341/6606 + 1 - -4. Let w = 1/3303 + v. Calculate the common denominator of -45/16 and w.
48
Let b(l) = -21*l**3 + 2*l + 1. Let r be b(-1). What is the smallest common multiple of 4 and (-15)/2*(-16)/r?
12
Let i = -2 + 2. Let l = 2 + i. Calculate the smallest common multiple of l and 2.
2
Let g = 471 + -1913/4. Find the common denominator of (7/33)/(11/(-99)) and g.
44
Let i = 64 + -54. Calculate the least common multiple of 44 and i.
220
Let w be ((-42)/5)/((-6)/(-40)). Let s = -53401/10010 + -16/715. Find the common denominator of (-3)/(1/(132/w)) and s.
14
Let f(l) = 6*l. Suppose 4*v - 2*v = -5*c + 12, 4*c - 4 = -3*v. Let o be f(v). What is the smallest common multiple of 4 and ((-6)/8)/(6/o)?
12
What is the common denominator of 214/(-48) + 6/(-9) and -91/2?
8
Suppose -3*v + 7*v - 36 = 0. Calculate the lowest common multiple of v and 5.
45
Let d = 6177/11 - 558. Calculate the common denominator of -38/31 and d.
341
Let i(a) = -15*a - 4. Let c(w) = w - 1. Calculate the lowest common multiple of i(-1) and c(2).
11
Let w = -5 + 12. Let b = 17 - w. Calculate the lowest common multiple of 6 and b.
30
Let s(g) = 53*g**2 + 4*g + 2. What is the smallest common multiple of s(-1) and 18?
306
Suppose 5*f + 5*z + 16 = 4*f, 8 = -2*f - 4*z. What is the common denominator of 38/9 and 142/f - (-4 - -1)?
18
Let g = 884/23 + -32741/874. Find the common denominator of 73/12 - (-4 - -4) and g.
228
Suppose 2*y = y + 24. What is the common denominator of 2/(-6) - 562/y and ((-496)/336)/((-1)/(-3))?
28
Let t(o) = o**3 + 4*o**2 - 8*o - 5. What is the lowest common multiple of t(-5) and 6?
30
Suppose 405 - 125 = -4*q. Find the common denominator of 121/6 and (42/q)/((-27)/10).
18
Let x = -3419 - -5899/2. Let s = -515 - x. Calculate the common denominator of 43/12 and s.
12
Suppose 3*g - 97 + 13 = 0. Let b be (-7)/g - 50/(-64). Let s = b + -1153/32. Calculate the common denominator of s and -47/3.
6
Let x = -113172942 - -261769009544/2313. Let r = x - -18/257. Calculate the common denominator of (-552)/112 + (-1)/(-2) and r.
63
Let q = -27 + 41. Let g be -2 + 1 + 1 + 11. Suppose g = 5*v - 19. Calculate the least common multiple of q and v.
42
Let r b