6
Let c = -5729 + 68701/12. Let z = -9703/984 + 9/328. Find the common denominator of c and z.
12
Let z = 2 - -1. Suppose -248 = -0*p - 4*p - 4*c, c = z*p - 178. What is the common denominator of 3/p*-1*-23 and 105/22?
220
Let a(o) = o + 9. Calculate the smallest common multiple of 22 - 1 - (-1 - 0) and a(5).
154
Suppose 5*q - 2*v = -18 + 78, -3*v + 15 = 0. Let f = -2/175 + -498/175. Find the common denominator of f and q.
7
Let o = -4997 + 8263. Let n = o + -2322. Let p = -2777/3 + n. What is the common denominator of p and 37/3?
3
Let y(h) = -2*h**2 - 59*h + 1. Calculate the lowest common multiple of y(-28) and 85.
85
Let k(j) = j**2 + 1. Let b be 6/(-4) + 1/2. Let g be k(b). Calculate the common denominator of (g - 291/24) + 2 and -37/18.
72
Suppose -7*v = -5*v - 576. Suppose -3*c + v = 99. What is the lowest common multiple of 20 and 14/c + (-70)/(-9)?
40
Let k = -6127/2 + 750788/245. Let z = k + -2/49. Find the common denominator of -1/10 and z.
10
Let y(x) = 35*x - 19. What is the least common multiple of 248 and y(1)?
496
Let r = -223145/12 - -18585. Find the common denominator of r and -115/12.
12
Let a = -1/37629 - -133996877/301032. Let b = -441 + a. Calculate the common denominator of b and 50/3.
24
Let j = -4226 + 2853. Let w = 8267/6 + j. Let o = 8545/4 + -2126. Calculate the common denominator of w and o.
12
Find the common denominator of 107/112 and (-6)/10 - (0 - (-655)/200).
112
Suppose 6*r = -187 + 823. What is the smallest common multiple of r and 4?
212
Let p(f) = -f**2 + 5*f - 2. Let b be p(6). What is the common denominator of ((-4)/b)/((-1)/32) and (77/66)/(3/8)?
9
Let y(g) = 39*g + 4 - 49*g - 4*g**2 + 0*g**2. Let r(s) = -5*s**2 - 11*s + 5. Let i(o) = 5*r(o) - 6*y(o). Calculate the smallest common multiple of i(5) and 2.
2
What is the lowest common multiple of 81 and (-209)/(-11)*(1 - -2) + -3?
162
Calculate the common denominator of ((610/(-9))/5)/6 - -3 and -80/99.
297
Let l = 120 - 69. Let g = l + -35. What is the lowest common multiple of 4 and g?
16
Calculate the lowest common multiple of 290/35 + 4/(-14) and 56.
56
Let m(k) = 2*k**2 + 19*k - 23. Let n be m(-11). What is the common denominator of 1732/(-960) - n/75 and (-2)/6 - 614/(-132)?
176
Let s(m) = m**3 - m**2 + m + 22. Suppose -31 = -25*a + 10 + 9. Calculate the least common multiple of a and s(0).
22
Let h = 33/382 - 289643/7640. Let j = h + 273/8. Find the common denominator of -5/3 and j.
30
Let s = -2 - -24. Let y be (-3)/(-2)*(-17 - -19). Suppose 0 = 3*g - 12, -20 = -2*j + g + y*g. Calculate the smallest common multiple of j and s.
198
Suppose 0 = 7*l - 2*l - 320. What is the common denominator of 40/7 and 69*2*8/l?
28
Let i = -3641/2 - -1862. Let b = -5 + -1. Find the common denominator of i and (1674/96)/(b/4).
8
Find the common denominator of 37/228 and (206/8)/((-117)/(-78)).
228
Suppose 105 = 16*f - 13*f. Suppose -5*d + 235 = -f. Calculate the common denominator of 5/6 and (-6)/(-27) + 147/d.
18
Suppose b = 6*b. Let n be (13 - -5)*2 + -1. Suppose 5*w + b*w + 11 = 2*i, 3*w = -4*i + n. What is the smallest common multiple of i and 6?
24
Let i = -9/50 - -257/25. Let b be 1246 + (7 - 2) + -2. Let g = 9967/8 - b. Calculate the common denominator of i and g.
40
Let s = -124 + 225. Calculate the smallest common multiple of s/9 + 8/(-36) and 11.
11
Suppose 8 = 5*m - 2. Suppose -4*f + 92 = -0*r + 4*r, 47 = 4*r - 5*f. Suppose 4*q = m*q + r. Calculate the least common multiple of q and 2.
18
Let n = -1110 + 1128. Calculate the smallest common multiple of n and 72.
72
Suppose 6 = -2*p + 2. Calculate the common denominator of 71/8 and (p/(-32))/(1 - 1188/1168).
40
Let u(d) = -d**3 + d**2 + 74*d + 12. What is the least common multiple of u(9) and 7?
210
Let c be (-1)/(-3) - 14892/45000. Let h = c + 30613/5000. Calculate the common denominator of (-35)/(-95) - (0 - 1) and h.
152
Let q = 3985/372 - -15/124. What is the common denominator of 38/9 and q?
18
Suppose 26*q - 28*q + 92 = 0. What is the smallest common multiple of 10 and q?
230
What is the common denominator of 12/27*1 - 5 and -23/57?
171
Suppose 53 = 5*t - n - 9, 2*t - n = 26. Suppose 2*i - u - 14 = -4, 2*u + 26 = 5*i. Calculate the smallest common multiple of t and i.
12
Suppose 2*l + 0*l - 29 = -5*u, 0 = -l - u + 16. Let y = l - 7. Calculate the lowest common multiple of -10*((-65)/25 - -3) + 10 and y.
30
Let z(x) = -8*x - 21. Calculate the least common multiple of z(-6) and 9.
27
Find the common denominator of 19/264 and (-1)/((-18)/(-672)) - (-2)/(-12).
264
Let b = 2/121 + -7175/2178. Calculate the common denominator of 68/81 and b.
162
Let m be ((-77)/(-44))/(514/256 - 2). Calculate the lowest common multiple of m/(-12)*((-3)/(-6) - 2) and 4.
28
Let w = 282446086 + -8474157643/30. Let x = 25833 + w. Find the common denominator of x and 30/(-4)*14/10.
30
Let o = 15 + -11. Let t(k) = -k**3 + 19*k + 20 - 19*k**2 + 2*k + 0*k**3 + 6. Calculate the lowest common multiple of t(-20) and o.
12
Let g be 6/18 - (-2)/(-6). Suppose g*z + z - 82 = -4*a, a - 4 = 0. What is the smallest common multiple of 3 and (z/9)/((-4)/(-6))?
33
Suppose 0 = -2*i - 3*i + 60. Suppose 4*m = -3*n + 52 + i, -3*n = 2*m - 38. What is the smallest common multiple of 11 and m?
143
Let n = -34 - -37. What is the common denominator of ((-125)/(-20))/(22/8) and n?
11
Calculate the common denominator of (966/(-272) - (40 - 45)) + -1 and -101/340.
680
Suppose 7*t - 12 = 3*t. Suppose j = -t*j + 108. What is the least common multiple of 15 and j?
135
Let n(u) = -u - 14. Let y be n(-16). Let b(k) = 4*k - 2. Suppose 3*m + 0*s - s = 81, 0 = 3*m + 5*s - 63. What is the smallest common multiple of m and b(y)?
78
Let k be 2/16 - (-1262229)/(-58824). Let t = k - 1/1634. Find the common denominator of t and 40/9.
9
Suppose -21 = -4*v + 43. Find the common denominator of 63/2 and 36/34*(-8)/v.
34
Suppose -14 - 2 = -4*c. Suppose 2*h + 3*h - 80 = -5*m, c*h + 3*m - 68 = 0. Let i = -216 + 240. What is the lowest common multiple of h and i?
120
Let g be 3 + (1 - (3 + -4)). Suppose 14 = c - g*z, 0*c + c + 4*z = 50. What is the least common multiple of c and -1*(-1)/1 - -19?
340
Suppose 19*p - 114 = 76. Suppose 2*f - 54 = -f. What is the smallest common multiple of f and p?
90
Let h = 3687 - 239601/65. Find the common denominator of -107/6 and h.
390
Let w be -1 - (-11)/(33/144). Suppose -4*a - a = -2*m + w, -m + 51 = 3*a. What is the common denominator of 69/8 and (-11)/28*m/9?
56
Suppose -207 + 11 = -2*j. Let p = j + -59. Find the common denominator of (p/54)/(3/(-33)) and 31/10.
90
Suppose -24*z = -268 + 28. Calculate the smallest common multiple of 100 and z.
100
Let d = -1/20685 + -572279/124110. Calculate the common denominator of d and 0 - 819/70 - (-1 - 0).
90
Let p = -46650862 + 27057492033/580. Let d = p - -566/29. Find the common denominator of 186/42 - 2/4 and d.
140
Suppose -12 - 248 = 5*v. What is the common denominator of (-41)/(-11) + v/13 and 47/10?
110
Let o = 4 + -2. Suppose 100 = -o*x + 7*x. Suppose 4*k + 18 = 3*w, 6*w - 24 = 2*w + 3*k. Calculate the lowest common multiple of x and w.
60
Let y = -664 + 14621/22. Let k = 2/83725893 + 2866690846963/145013246676. Let b = 8/433 - k. Find the common denominator of y and b.
44
Suppose 2*j + 4*x + 46 = 5*j, -4*j = -x - 44. Let k(y) = y**3 + 16*y**2 + 12*y - 35. What is the least common multiple of j and k(-15)?
10
What is the common denominator of 59/286 and -5 + (-93 + -2)/(5 + 1)?
858
Let h(b) = -b**2 + 6*b + 3. Let l be 1*3 - (13 + -16). Let z be h(l). Calculate the lowest common multiple of 48 and (-40)/(-24) + 1/z.
48
Let n = 2/4093 - -159611/32744. Suppose 0 = -18*v + 14*v - 40. What is the common denominator of n and (-44)/v*(200/28)/(-5)?
56
Let y(r) = 2*r**3 - 10*r**2 + 6*r + 4. Let l be y(6). Suppose 59*c + l = 66*c. Calculate the least common multiple of 24 and c.
48
Calculate the least common multiple of 63 and 340/6 + 4/(-6).
504
Suppose -1 = -2*t - 5, 0 = -4*c + 5*t - 14. Let k be (-6)/4*c/1613. Let n = k + -85669/32260. Find the common denominator of 83/20 and n.
20
Let h(b) = b**3 + 4*b**2 + 4*b - 8. Let l be -3 - 3/(3 + -2). Let w be h(l). What is the lowest common multiple of (w/(-39))/((-2)/(-12)) and 10?
80
Suppose -3*s + 21 = 2*b, -2*b - 10 = -4. Let a = 15 - s. Calculat