*d - j. What is the smallest common multiple of 3 and d?
6
Suppose x + 72 = 4*x. Suppose 0 = 3*f + f - x. Suppose i = -f - 7. What is the common denominator of i and -32/3?
3
Suppose f + 2*o + 12 = 0, 3*o + 7 + 6 = -f. Let d = f + 18. What is the lowest common multiple of 7 and d?
56
Suppose 39 = -3*r - 5*z, 5*r + 4*z + 55 = -z. What is the common denominator of 61/(-3)*3/r and 336/(-99) - (-12)/(-9)?
88
Let q(p) = -p + 5. Let f be q(7). Calculate the lowest common multiple of 2 and (2 - f) + (4 - 5).
6
Suppose 16 = 3*f + 4. What is the least common multiple of f and 10?
20
Suppose 2 + 7 = 9*l. Calculate the smallest common multiple of l and 12.
12
Let y(r) = 366*r + 5. Let j be y(-5). Let p = 16442/9 + j. Let b = -2906/3 - -950. Find the common denominator of p and b.
9
Suppose 16 - 104 = -4*b. Suppose 2*s = -2*s + 5*u + b, -4*u = -s. What is the least common multiple of s and 8?
8
Suppose 3*u - 4*i - 29 = 0, -5*u = -4*u - 4*i - 23. Suppose 2*c - 40 = -0*c - 2*v, -u*c - 2*v = -60. Calculate the smallest common multiple of c and 8.
40
Let d be 10/(-35) - 172/(-14). Suppose -d - 30 = -2*t. Let r = t + -13. What is the smallest common multiple of r and 8?
8
Let y = 3 + -1. Suppose 23 = y*k - n, 2*k = 2*n + 19 + 7. Suppose -4*i = -i - 12. What is the lowest common multiple of k and i?
20
Suppose 2*b - 731 = -5*c, c - 25 = 6*c. Calculate the common denominator of (-2)/9 + 1110/b and 11/4.
28
Let p = 176604 + -1180950946/6687. Let u = 101209098016 - 7444637622896630/73557. Let n = p - u. Calculate the common denominator of n and 21/8.
88
Let m(v) = -19*v**3 + 2*v**2 - 2*v + 3. Let b be m(3). Let h = b + -364. Find the common denominator of 4/(-14) - h/126 and -8/11.
99
Let x = -50449/4484 - -1/1121. Calculate the common denominator of x and -5/8.
8
Let v = 124 + -98. What is the smallest common multiple of v and 20?
260
Let d(z) = -77*z - 9. Let v be d(10). Let l = v - -3099/4. What is the common denominator of l and 33/16?
16
What is the least common multiple of (-14)/(-35) - (-26)/10 and 12?
12
What is the common denominator of -47/28 and (-390)/24 + -2*2/(-4)?
28
Let p(u) = -u**3 - 4*u**2 - 1. Let q be p(-4). Find the common denominator of (q + (-39)/(-48))*26 and (1 - 1) + (-107)/(-22).
88
Let a(i) = i**2 - 13*i + 6. Suppose -l = 3 - 16. Let c be a(l). Suppose 0 = 4*g + 20, -g + c = o + 3. Calculate the lowest common multiple of o and 2.
8
Suppose -d + 3*u = 5, 3*d + 1 = 2*d + u. Calculate the least common multiple of d and 5.
5
Let y be 62/6 + 1/(-3). Let n(c) = -c**3 - c + 2. Calculate the smallest common multiple of (-4)/y + (-36)/(-15) and n(0).
2
Let m = -16600 + 7386. Let i = -129049/14 - m. Find the common denominator of 89/20 and i.
140
What is the smallest common multiple of (-21)/(-28) - (-90)/8 and 20?
60
Suppose 5*w + 38 = -i, -i = -4*w - 0*i - 25. Let u = w + 10. What is the common denominator of u/(9/(-15))*3 and 63/10?
10
Find the common denominator of -21/11 and (-5)/(-110)*-38*1.
11
What is the common denominator of 1/3 + 494/12 and 77/18?
18
Suppose 10 = 2*v + 2366. Let m = v + 21269/18. Let u = 70/171 - 81/38. What is the common denominator of u and m?
18
Let l be 251938/28 + -1 + 3. Let z = l - 9004. Find the common denominator of 89/2 and z.
14
Suppose 0 = 2*s + 5*x - 23, -3*x + 22 = 4*s - x. Suppose s*g = g + 48. Calculate the smallest common multiple of 14 and g.
112
Suppose 1092 = -0*n + 4*n. Find the common denominator of -38/9 and (-22)/(-7)*n/36.
18
Suppose -l - 365 = 194. Let x = 2247/4 + l. Calculate the common denominator of x and 15/8.
8
Calculate the common denominator of (-195)/(-20) + (-20)/4 and 15/11.
44
Let t = -13543/5 - -2721. What is the common denominator of t and (-361)/(-30) - 1/3?
10
Suppose 3*w - 2*f = -6*f + 10, 3*w + 18 = 3*f. What is the common denominator of (-18)/12*(-21)/w and -41/22?
44
Let y = -1542/5 + 6097/20. Suppose w = -i - 3*i + 1, -3*w - 4*i = -11. What is the common denominator of -1 - -3 - w/(-14) and y?
140
Suppose 0 = -0*m + m + 4, 0 = -2*n - 3*m. Let k = 3 + -4. Let g = 13 + k. Calculate the smallest common multiple of g and n.
12
Let t(h) = h - 1. Let b be t(-7). Let v = b + 12. What is the least common multiple of 8 and v?
8
Let c be 53/(0 - (-2)/2). Calculate the common denominator of (-3 - c/(-2))/(-1) and -37/22.
22
Let z(b) = 21*b**2 - 1. What is the least common multiple of z(-1) and 6?
60
Let a(o) = -o**2 - 4*o + 6. What is the smallest common multiple of 6 and a(-4)?
6
Let y = 2876/5 + -572. Calculate the common denominator of y and -97/32.
160
Let n = 7290249043380/466761197 + -371/3922363. Let x = 15619 - n. Let w = x + 1879/714. What is the common denominator of -51/7 and w?
42
Let z = 7 - -9. Calculate the least common multiple of (-3)/(-6) - (-3)/2 and z.
16
Let p = -9453 + 132259/14. Let k = 12043/14 + -866. Find the common denominator of k and p.
14
Let h = -152 + 275/2. Let c(k) = -k**2 - 8*k - 4. What is the common denominator of c(-9) and h?
2
Let m = -330/97 - -13369/1164. What is the common denominator of m and -69/14?
84
Let r(h) = 2*h + 42. What is the lowest common multiple of 18 and r(-12)?
18
Let z = 4863/410 + -105/41. Let j = -21959/18 - -1217. Calculate the common denominator of z and j.
90
What is the common denominator of 1/(-22 - -4)*7 and 91/82?
738
What is the common denominator of ((-390)/44 + 0)/3 and 2/(-8) + (-1875)/(-420)?
154
Suppose 0 = 5*a, -a = 3*s - 6 - 6. What is the least common multiple of 3 and s?
12
Let y(s) = 4*s**2 + s**3 + 2*s - 2*s + 2 - 3*s. Calculate the least common multiple of y(-4) and 16.
112
Let l(n) = n. Suppose -5*r = -2*u - 0*r + 6, -15 = -5*u - 2*r. Suppose -4*s = u*j - 26, 17 = 2*j - s + 7. Calculate the lowest common multiple of l(4) and j.
12
Calculate the smallest common multiple of ((-16)/28)/(8/(-644)) and 18.
414
Suppose 0 = -0*f - 4*f + 14104. Let y = f + -21103/6. Calculate the common denominator of 1 + -2 + 126/(-20) and y.
30
Calculate the common denominator of -131/24 and (-2)/4*(-204)/18.
24
Suppose 0 = -6*x + 19 + 41. Let c(j) = -8*j. What is the smallest common multiple of x and c(-1)?
40
Let p = -251/2 - -132. Let n be (3/(-9))/((-2)/(-6)). Calculate the common denominator of p and n/3 - 764/(-96).
8
What is the lowest common multiple of 7 and (-1550)/(-30) + 2/(-3)?
357
Let s(a) = -6*a + 1. Let g be s(1). Let y = 9 - -3. What is the lowest common multiple of y and 18 - (0 + (g - -3))?
60
Let g = 733 - 1561/2. Calculate the common denominator of g and -37/16.
16
Let s(x) be the first derivative of x**4 + 2*x**3/3 - x**2 + x + 1. Let d be s(1). Suppose -23 + 63 = d*b. What is the least common multiple of 11 and b?
88
Let x = -12/497 + -91897/1988. Let s = x + 149/3. Calculate the common denominator of s and -61/22.
132
Let k(s) = -27*s**3. Calculate the smallest common multiple of 9 and k(-1).
27
Let l = 3 - 5. Calculate the smallest common multiple of 1 + (-5)/(5/l) and 7.
21
What is the common denominator of -2 - (6 - 9)*(-22)/(-39) and 10/7?
91
Let v be ((-4)/2557)/2*-2. Let w = -145717/20456 - v. What is the common denominator of w and -123/10?
40
Let c(a) = -7*a + 2. Let f = -7 + 15. Calculate the lowest common multiple of f and c(-2).
16
Suppose q = -65 - 21. What is the common denominator of -1 - (-2)/(16/41) and (-1 - -3) + q/44?
88
Suppose 5*d + 5*i + 55610 = 0, 3*i = -3*d + 2*i - 33358. Let v = -177957/16 - d. Calculate the common denominator of -91/18 and v.
144
What is the common denominator of 60/(-324)*39*1 and -145/6?
18
Let z = -2845887 - -1811499. Let v = 14487791/14 + z. Let k = v + -453. Calculate the common denominator of 133/12 and k.
84
Let u be (129/15)/((-6)/(-8)). Let n = 18/25 + -179/75. Let b = u + n. Find the common denominator of 58/7 and b.
35
Suppose 0 = -5*t - 149 - 201. Find the common denominator of 79/10 and 1/(-3) + t/(-4).
30
Let g(j) = -j**2 - 11*j + 12. Calculate the least common multiple of g(-10) and 2.
22
Let w(p) = -71*p + 3. Let x be w(3). Calculate the common denominator of (-2523)/x + (-2)/(-7) and (-113)/(-28) + 4/(-14).
20
Suppose -480 = -2*a + 2*d, -3*a - a + 996 = 5*d. Let z = a + -405/2. What is the common denominator of z and 34?
2
What is the common denominator of 41/4 and (-7)/((-196)/(-186)) - -1?
28
Let w = -10 - -12. Calculate the smallest co