z - 2. Let o(l) = -l - 2. Let g be o(-5). Let q be m(g). Let y = q + 6209/8. What is the common denominator of y and 7/12?
24
Suppose o - 19 = -3. Suppose -2*d + 208 = 3*h, -3*d = -d + 2*h - 208. What is the lowest common multiple of d and o?
208
Let m(o) = o**3 + 3*o**2 + 2*o + 1. Let j be m(-3). Let b(x) = -44*x**2 - 52*x + 24. Let i be b(11). Calculate the common denominator of 2/j + i/320 and 71/8.
8
Suppose -2*u - 5*w = -u + 63, -23 = u - 3*w. Find the common denominator of u/6 - 2/(-1) and 25/28.
84
Suppose 2*l - 55 = -3*w, -5*w + 97 = -6*l + 8*l. What is the least common multiple of 15*(20/(-12) + 2) and w?
105
Calculate the lowest common multiple of 2 and (-4)/(-10) - (-33)/55.
2
Let y be 530764/(-6)*(-15)/100. Let j = -13281 + y. What is the common denominator of j and 4/(-6)*(-474)/8?
10
Let p(k) = k**2 + 7*k - 38. Let g be p(-10). Find the common denominator of 5/4 and (-305)/(-125)*2/(g/(-10)).
20
Let o be (((-49)/(-301))/7)/((-166)/(-8)). Let t be 1/2 - (-606874)/128484. Let i = t - o. Calculate the common denominator of i and 13/9.
9
Calculate the smallest common multiple of 46 and ((-112)/(-70))/(1/10).
368
Suppose 15*a - 9*a = -354. Calculate the common denominator of 8/24*a/(-86) and 67/8.
1032
What is the lowest common multiple of 5 and 12/(-6) + (-1)/((-2)/8)?
10
Let k be (6668/(-28) - 1) + -1. Let y = 243 + k. What is the common denominator of y and 85/2?
14
Calculate the common denominator of (-4)/(-12)*(-3105)/(-600) and -63/10.
40
Let z be (-32)/48*(-54 + 0). Suppose -44 - z = -2*i. Suppose w = -3*w + i. What is the least common multiple of 10 and w?
10
Let r = -20158459/176 - -114537. Let b = -7/11 - r. Calculate the common denominator of -29/2 and b.
16
Suppose 4*i - o - 36 = 3*i, -3*i + 5*o + 104 = 0. What is the lowest common multiple of 12 and i?
228
Suppose 3*s + 18 = -z, 5*z + s + 4*s + 40 = 0. Find the common denominator of 23/7 and 0 + (-150)/4 + z.
14
Suppose 5*c - 4*r = 16, 0 = -3*c - 5*r + 28 - 11. What is the lowest common multiple of 6/9 - 16/(-3) and c?
12
Let g = 32799/10 + -3281. What is the common denominator of g and ((-2)/8)/((-2)/31)?
40
Suppose -5*l - 20 + 55 = 0. Suppose -20 = 3*v - l*v. Calculate the least common multiple of 10 and v.
10
Let h = -7/1223 + -26261409/12230. Let k = 2145 + h. Calculate the common denominator of (-3)/5 + 213/180 and k.
60
Let u(x) = x**2 + 2*x - 1. Let a be u(-2). Let s be (4/a)/(15/1980). Find the common denominator of (-4)/22 + 2764/s and -30/7.
84
Calculate the common denominator of 117/14 and 15126/(-612) - (-54)/(-459).
42
Let t(q) = -q**3 + 4*q**2 - 2*q + 4. What is the least common multiple of 6 - (2 - 5 - -1 - -4) and t(3)?
28
Let b be (-1)/(36/40) - -1. Let o = b - 1. Let a = o + 155/99. Find the common denominator of a and 56/3.
33
Suppose -37 = -3*b + 5*t, 2*b + 2*t + 7 = -t. Suppose 2*v = 6*v - b. What is the smallest common multiple of (9/(-5))/((-3)/15) and v?
9
Suppose 7*i = 3*i + 64. Let a = -167 - -169. Suppose j = a*v - 35, 4*j + 19 = v + 3*j. Calculate the lowest common multiple of i and v.
16
Let m be (-1 - (-861)/(-27))*6. Let g = m - -192. Find the common denominator of g and -3*((-213)/99 - -2).
33
Let x = 1599/10 + -572/5. Calculate the common denominator of 53/687 and x.
1374
Let h = 967 - 8707/9. Find the common denominator of h and -21/4.
36
Suppose 5*w - b = 33, 4*w = 3*b - 0 + 33. Let q = -10 - -17. Suppose 12 - 4 = s - 2*m, 0 = 2*s - m - q. Calculate the lowest common multiple of w and s.
6
Let j = 28 + -26. Suppose -5*t = -v - 7, -3*v + 3*t + 15 = -0*v. Calculate the least common multiple of j and v.
8
Let t be 6/(-4)*2 - -5647. Suppose -4*q - 472 = t. Let y = q + 10726/7. What is the common denominator of 61/8 and y?
56
Find the common denominator of -11/15 and (161/40)/7 + (-8)/32.
120
Suppose -5*i - 109 = -4*r + 136, -i = -3*r + 49. Let k = i + 87. Let h = 6 - 2. Calculate the least common multiple of h and k.
76
Suppose 5*i - 30 - 130 = 0. What is the common denominator of ((-74)/i)/1*-1 and 1 - 62/(-12)*-1?
48
Calculate the smallest common multiple of 75 and (-23)/(-69)*(-5)/((-20)/72).
150
Let l be (21/1)/((-12)/(-16)). Let p = -23 + l. Let b = p - -1. Calculate the smallest common multiple of b and 8.
24
Suppose 2*r - 11 = -5*y + 3*r, -5*y = -5*r - 15. Suppose -2*g = j + 2*j + 94, 104 = -2*g + y*j. Calculate the common denominator of g and 43/8.
8
Let y = 125 + -1489/12. Find the common denominator of y and -83/6.
12
Let w = 21694 - 781037/36. Calculate the common denominator of w and 43/6.
36
Suppose 3*r + 3*z = 21, -2*r + 3*z = -0*z + 11. What is the common denominator of (r/20)/((-28)/105) and 82/33?
264
Let z be (-123)/(-210) - 1/5. Let j = -37/7 + z. Find the common denominator of -113/28 and j.
140
Suppose 2*u - 15 = m, 0 = 2*m + 3*u + 5 - 10. Let w(q) = -q**3 - 5*q**2 + 2. Let l be w(m). Let r = l + 6. Calculate the least common multiple of 11 and r.
88
Let g = -168 - -304. What is the lowest common multiple of g and 102?
408
Calculate the lowest common multiple of 15 and (2/(-4))/((-27)/4590).
255
Let g be 119/7 + 0 + 1. Calculate the lowest common multiple of 2 and ((-2)/3 + (-222)/g)/(-1).
26
Let s = -11570247/2794 - 296295/127. Let m = -6473 - s. Find the common denominator of ((-121)/(-14))/(44/(-14) + 4) and m.
132
Let l be (-4)/14 - (-2)/7. Suppose -2*b = -b, -4*h + 2*b + 20 = l. Calculate the smallest common multiple of 9 and h.
45
Let p = 23 + -12. Let r = 67 + -34. Let x = r - 29. What is the smallest common multiple of x and p?
44
Let b be (-6)/(2 - 0/1). Let m be ((66/(-12))/11)/((-3)/(-18)). What is the common denominator of (-2 - m) + 44/b and -83/8?
24
Suppose 0 = -q - 4*x - 1104 + 306, 4*q + 5*x + 3170 = 0. Let d = q + 3205/4. Find the common denominator of d and 99/10.
20
Let j = 158 - 146. Calculate the lowest common multiple of j and 8.
24
Suppose 133*j = 147*j - 154. Calculate the least common multiple of 114 and j.
1254
Find the common denominator of ((-310)/48 - -2)/((-15)/20) and ((-25)/(-375))/((-2)/52).
90
Suppose -5*d + 100 = -3*d. Calculate the least common multiple of 8 and d.
200
Suppose 0 = 3*d - 28 + 1. Let t = 16 - d. What is the smallest common multiple of t and 1*-5 + (9 - (1 + -6))?
63
Let w = -29474 - -1768289/60. Calculate the common denominator of w and 179/30.
60
Suppose -4*x + 5*c + 1258 = 0, c + 906 = 2*x + 280. Let p = x - -128. Calculate the common denominator of (12/48)/((-6)/p) and -29/3.
3
Let k be (-5)/(-7) + 4/14. Let a = k - 5. Let g = 20 + a. Calculate the smallest common multiple of g and 20.
80
Let f = 24861146/131243 - -4/18749. Let c = -73 - 229/2. Let s = f + c. What is the common denominator of s and -37/14?
14
Suppose 0 = -4*q + 5*y + 14, -25 = -2*q - 4*y - 5. Let g = -121519/9624 + 2/1203. Calculate the common denominator of g and q/22*(-12)/1.
88
Let t(i) = i**3 + 8*i**2 - 11*i - 7. Let d(a) = 8*a**2 - 4*a - 4. Let u be d(7). What is the lowest common multiple of t(-9) and u/165 + (-4)/22?
22
Let z(i) = 3*i**3 - 16*i**2 + 14*i + 24. What is the lowest common multiple of 1/(6/8)*12 and z(2)?
48
Let x(w) = -w**3 - 54*w**2 - 378*w + 2. What is the least common multiple of x(-7) and 20?
1380
Let f = -43 + 217/5. Calculate the common denominator of 54/(-5)*(-4)/(-6) and f.
5
Let u = 377/3 - 14401/114. Find the common denominator of u and -115/12.
228
Let d = -63 - -48. Calculate the smallest common multiple of (4 + 65/d)*-24 and 8.
8
What is the lowest common multiple of 78 - (5 - -4 - 1) and 10?
70
Let j(s) = -11*s + 2. Let u(r) = 12*r + 1 - 3*r + 3*r - 2. Let h(m) = -7*j(m) - 6*u(m). Calculate the common denominator of h(-6) and -31/8.
8
Let g(d) = -d + 5. Suppose -15 = -t - 3*v, -6*v = -5*t - 2*v + 18. Let m(a) = a - 15. Let b be m(t). What is the smallest common multiple of g(b) and 12?
84
Let b = -6977/275029 - 1/1201. What is the common denominator of -3/8 and b?
1832
Let l be (15/(-9))/((-2)/(-150)). Let p = l + -340. Find the common denominator of (-6)/16*p/45 and -31/12.
24
Let m = -215/236 + -1/177. Calculate the common denominator of 145/30 + 4 - 1 and m.
12
Let w(f) = f**2 - 4*f - 6. Let i be w(-4). Let m = 41 - i. Suppose -d + 5*d = 2*u + 20, d - 3*u - m = 0. Calculate the lowest common multiple of d and 11.
33
Suppose -31*j = -12*j - 798. Calculate the