6. Let z be w(-7). Calculate the lowest common multiple of f(z) and 32.
32
Let y be (0 - (-3)/20)*7222. Let z = 1077 - y. What is the common denominator of z and 59/18?
90
Let x(y) = -y**2 + 17*y + 12. Suppose 3*m = -0*m + 48. Let s be x(m). What is the least common multiple of -9*(s/(-12) - -1) and 11?
132
Let t(b) = b**2 + 3*b + 2. Suppose 0*y - 1408 = 11*y. Let l = y + 146. What is the smallest common multiple of l and t(3)?
180
Suppose -328 = -4*i - 2*g, -i + 320 = 3*i + 4*g. Let q be 30748/i - (0 + 1). Let u = q + -1072/3. Calculate the common denominator of 39/8 and u.
56
Let v(r) = r**3 - 3*r**2 - 2. Calculate the lowest common multiple of v(4) and ((-1)/(14/105))/(15/(-340) - 0).
1190
Let u be (1*-271)/(16/36). Let g = u - -635. Calculate the common denominator of g and (48/(-128))/((-3)/53).
8
Suppose 5*v + 2*j - 69 = 172, -5*j - 59 = -v. What is the smallest common multiple of v and 14?
98
Suppose 4*d - 5*u - 55 = 0, -2*d - 3*d - u + 47 = 0. Let o(v) = -2*v + 31. What is the least common multiple of o(d) and 41?
451
Suppose -176 - 328 = -72*s. Calculate the smallest common multiple of 220 and s.
1540
Let m(p) = 5*p**3 + 6*p**2 - 2*p - 4. What is the lowest common multiple of 128 and m(2)?
896
Let w = -66579/673468 - 1/6668. What is the common denominator of 99/8 and w?
808
Let u = 3/137866 + 362863285/1240794. Let l = -290 + u. Calculate the common denominator of l and -38.
9
Let k = 9853225/194 - 50790. What is the common denominator of 15 and k?
194
Let z = 67 + -79. Let k = z - -36. What is the smallest common multiple of k and 20?
120
Let u be 1 + (-1)/(3/21). Let b(t) = t**3 + 7*t**2 + 3*t - 6. Let l be b(u). Let f(p) = p**2 - 9*p - 8. What is the lowest common multiple of 20 and f(l)?
140
Suppose 3*s + 101 = 5*j, 3*s + 5*j = -126 + 35. Calculate the common denominator of (60/(-18))/(s/(-18)) and -18/7.
56
Let i = -135992 - -411481/3. Let x = -1158 + i. Let z(r) = -r - 6. Calculate the common denominator of z(-13) and x.
3
Suppose 0 = -34*s + 361 - 89. What is the lowest common multiple of s and 102?
408
Let i(q) = q**2 + 15*q + 3. Suppose -5*g + 73 = -3*f, 4*g = 4*f - f + 68. Find the common denominator of i(f) and 21/4.
4
Suppose 0*v + 2*v - 2 = 0, 46 = 5*q - 4*v. Let w be (-4)/(-585)*(-6515)/q. Let h = w + 1/6435. What is the common denominator of -1/3 and h?
33
Let j be (1/(15/(-6)))/(3436/(-320)). Let x = j + 118633/20616. What is the common denominator of 35/6 and x?
24
Suppose 0*h - 3*h - 450 = 0. Let u be h*3/(-15)*-2. What is the least common multiple of 6 and (-8)/(-6)*u/(-8)?
30
Let s = -65 - -74. What is the lowest common multiple of (9/6)/((-18)/(-12)) and s?
9
Suppose -2*k + 0*k + 25 = -3*z, -5 = z. Suppose -p - 15 = -k*j, 2*p + 0 = j - 12. Let l = 15 + p. Calculate the lowest common multiple of 12 and l.
60
Let m = 37091/12 - 3093. Find the common denominator of m and ((-9)/27)/(44/195).
132
Let s = 305599/88 + -26775/11. Let t = 4127/4 - s. Calculate the common denominator of t and 3/8.
8
Suppose u + t + 13 = 3*u, 3*t = 3. Let s(q) = q - 1. Calculate the least common multiple of 88/6 + 8/(-12) and s(u).
42
Let m = 908/7889 + 7333467/2682260. Let v = -27/340 - m. Calculate the common denominator of 156/(-15) + (-17)/17 and v.
70
Let w(z) = z**2 + 3*z - 7. Let h be w(-4). Let c = 4566 - 45623/10. Find the common denominator of (-3)/(-4) - (h - (-452)/(-112)) and c.
70
Let p(n) = 13*n**2 - 4*n - 7. Suppose 5*j = 3*m + 405, 3*m = -j - j + 141. Suppose -3*v - 12 = -j. Calculate the lowest common multiple of v and p(-1).
110
Let t = -4161/320 + 251/20. Let w = -1/5712 + -128509/62832. What is the common denominator of t and w?
704
Let p(d) = -74*d - 2. Let q be p(-3). Suppose 5*u - 223 = -2*x, 6*u - q = u - 5*x. Suppose -i - 25 = -u. What is the smallest common multiple of 26 and i?
260
Suppose -5 = -4*w + 3. Let c be ((-4)/(-2) + -2)/2. Suppose c = 3*y - 27 - 0. Calculate the least common multiple of w and y.
18
Let w(g) = -50*g - 1. Let m be w(7). Let v = -12753/3563 + 4/509. Find the common denominator of v and m/30 + 3 - 2.
70
Let z = -791/270 - -52/15. What is the common denominator of z and 2/(-4)*(-2)/11?
594
Let w be (2 + (0 - 0))/(-2). What is the lowest common multiple of (w - -4)/((-12)/(-16)) and (-54)/4*(-32)/48?
36
Suppose -5*w + 13 = -7, 0 = 4*s - w - 108. Let g(q) = q**3 - 7*q**2 + 9*q. Calculate the smallest common multiple of g(6) and s.
252
Suppose 14*u - 1970 = 1670. What is the least common multiple of 180 and u?
2340
Let m = 7/11 + 629/66. Let g = -883/258 + 1/172. Find the common denominator of m and g.
12
Calculate the common denominator of (30/(-4))/((-3264)/(-352)) and 13/68.
68
Suppose 6*t - 72 = 2*t. Let z = -13 + t. Suppose -4 = -z*u + 4*p + 2, 5*u - 12 = -2*p. Calculate the lowest common multiple of 12 and u.
12
Find the common denominator of ((-861)/56)/((-3)/4) and 1/(-6)*142*(-6)/(-44).
22
Calculate the smallest common multiple of (-1623 + 0)/((-209)/19 + 8) and 3.
1623
Suppose -880 = w - 5*w. Let y be (6/(-8))/(6/w). Let s = y + 24. Find the common denominator of s and 131/6.
6
Let y = 11491/1593870520 - -415611286999439/864195002073480. Let f = 4/180733 + y. Calculate the common denominator of f and 73/20.
420
Let r = 21 - 5. Let z(n) = -6*n - 142. Calculate the smallest common multiple of z(-25) and r.
16
What is the common denominator of 47/30 and ((-2)/105)/(-8*1/130)?
210
Let w(n) = 7*n - 2. Suppose -v = q - 6, -5*v - 3 = 4*q - 30. Suppose p + x - 2 = -3, q*p + 5*x = -9. Calculate the smallest common multiple of 20 and w(p).
60
Find the common denominator of -87/4 and 1/(1/6) + 5016/(-432).
36
Let g = 18553514 - 890524073/48. Let c = g + -2773/3. What is the common denominator of -23/12 and c?
48
Let v(f) = -3*f**2 + 70*f + 21. What is the lowest common multiple of 110 and v(23)?
220
Let k = 11 + -7. Let r be 18/(-27)*(-138)/k. Let f = -17 + r. What is the smallest common multiple of f and 14?
42
Find the common denominator of 4*(43/(-28) + 1) and 2/(-10) + (-1 - (-134)/(-5)).
7
Suppose -5*g - 48 = -128. Find the common denominator of (-29)/87 - (-58)/(-96) and 30/g + (-10)/10.
16
Suppose -162*b - 4 = -j - 166*b, 2*j - 11 = -5*b. What is the least common multiple of (4/10)/((-2)/(-10)) and j?
8
Calculate the common denominator of 36/5 and 100/175 - 990/434.
155
What is the common denominator of (6234/(-567) + 11)*801/15 and 31/210?
630
Let n(q) be the first derivative of -4*q**2 - 40*q - 34. What is the smallest common multiple of 14 and n(-6)?
56
Calculate the lowest common multiple of (-4 - (-30)/8) + 405/20 and 70.
140
Suppose 87 = 7*j - 53. Find the common denominator of (6/(-9) + 1)/(j/78) and -3*3/(-18)*0.
10
Let c(i) = 9*i**3 + 2*i**2 - 1. Suppose 0*s + 5*f = -4*s - 57, -2*s - 2*f - 26 = 0. What is the lowest common multiple of c(1) and 94/8 - 2/s?
60
Let z = 1159093/30 - 38640. What is the common denominator of -33/125 and z?
750
Let g(l) = 3*l**2 - l - 4. Suppose -6*q = 11 + 1. Calculate the least common multiple of g(q) and 160.
160
Let z = 248749/10 + -56749/2. Let b = 3487 + z. Let h = -79/3 + 7/2. What is the common denominator of h and b?
30
Let p = -1679/6 + 302. Let n be 1709/(-84)*24/(-32). Let b = -307/16 + n. Find the common denominator of p and b.
42
Let n be (-2)/(-9) - 58/18. Let u be (-2*1063)/(-1) + n. Let z = u + -21281/10. Find the common denominator of 69/4 and z.
20
Let g = 198 + -126. Suppose 4*m - 2*r - g = 2*r, 69 = 4*m - r. Suppose 0*a - 5*a = 2*b - m, 3*b + 4*a = 36. Calculate the least common multiple of 2 and b.
16
Suppose 2*a - 18 = -4*b + 10, 5*a + b = 70. Let i(f) = 2*f**2 + f - 2. Calculate the least common multiple of (-2)/a + (-594)/(-42) + 0 and i(-2).
28
Let v(c) = c**3 - 28*c**2 - 30*c + 51. What is the least common multiple of 14 and v(29)?
154
Let u = -2615/4 - -647. What is the common denominator of -7/4 and u?
4
Let t = -3068/3 - -110431/108. Calculate the common denominator of t and 103/108.
108
Let k = 603/88 - 49/22. Calculate the common denominator of k and -83/2.
8
Suppose -5*q - 6 = -2*q. Let k(r) = -r - 8. Let y be k(-6). Calculate the lowest common multiple of 2 and (-18)/q - y/2.
10
Let n = -19 - -21. Suppose -2*r - 80 = -d, d = -d + n*r + 156. What is the common denominator of 139/6 and 2/d*29*-2?
114
Let i = -4194 + 3