6
Let c be 48/144 - (-1 - 5362/6). Let p = c - 11644/13. What is the common denominator of p and -26?
13
Let c(h) = -h + 4. Let u be c(3). Let t = u - 3. Let j = 6 - t. Calculate the least common multiple of j and 20.
40
Suppose -5*h + 33 = l + l, 5*h = 25. Suppose 0 = l*d - 6 - 30. Suppose -2*p = -23 - d. What is the lowest common multiple of 22 and p?
176
Let m = -143/188 + -15161/10716. Let k = -2743/285 + m. Find the common denominator of -31/4 and k.
20
Let t be (-19934)/(-2 + (-21)/(-12)). Suppose 2*w - 16655 + t = 3*d, d = w + 21026. Let o = 420467/20 - d. Calculate the common denominator of -115/12 and o.
60
Let r = -237 + 244. Suppose 2*b + 13 = g, -4*b + 9*b = -4*g. Calculate the smallest common multiple of r and g.
35
Let z = -17889 - -536549/30. What is the common denominator of 49/1131 and z?
11310
Let a(t) = t**2 - 3*t + 20. Suppose -4*w + 8 = -0*w. Suppose -35 = -5*d - 5*k, 4*d - 2*k - w*k = 68. What is the least common multiple of a(0) and d?
60
What is the common denominator of -29/3 and 177/(-6) - ((-11)/(-1) + -13)?
6
Let l(d) = d**3 - 8*d**2 - 8*d - 13. Let t be l(9). Let y(u) = -u**2 - 7*u - 2. Let o be y(-13). Calculate the common denominator of -85/2 and (10/136)/(t/o).
34
Let r be 36/30*15/2. Suppose -x = -4*x + r. Suppose x*z = -z + 56. What is the common denominator of -3/5 and z?
5
Let n be (-1 - (-4)/3)*18. Let b(o) = -5*o**2 - 7*o - 12 - 2*o + n*o**2. Calculate the smallest common multiple of 8 and b(11).
40
Let v be 6/(-4)*(26 + -4). Let o = -19 - v. Suppose -2 = g - o. Calculate the smallest common multiple of 8 and g.
24
Let o = -1631/10 + 861/5. What is the common denominator of -1/30 and o?
30
Suppose -q = -s - 3, -s + 3 - 6 = 3*q. Suppose -5*j + 6 = w - 3*j, q = -3*w - 4*j + 22. What is the least common multiple of 4 and w?
20
What is the smallest common multiple of 3 and (-1 - -2)/(-8 - 5841/(-729))?
81
Let r(u) = 408*u + 1. Let g be r(1). Let q = 4472/11 - g. What is the common denominator of q and 27/8?
88
Suppose 4*z - z = 3*k + 75, -5*k = -2*z + 65. Let x be (-3)/3*(-3 - -4). What is the lowest common multiple of z and (x/2)/(4/(-144))?
180
Find the common denominator of (-2374)/(-2376) - 45/(-330)*-4 and -13/27.
108
Suppose 0 = 12*d - 5*d - 126. Suppose 0 = 4*p - 19 - 69. What is the lowest common multiple of p and d?
198
Let i = -1/25 - 422/75. Calculate the common denominator of (-8 - -9)/(48/136) and i.
6
Let s(k) = -7*k**3 - 8*k**2 + 17*k + 14. Let w(g) = -g**3 - g**2 + g - 1. Let j(m) = s(m) - 6*w(m). What is the lowest common multiple of j(-5) and 10?
40
Let p be (-4)/26 + 335/65. Suppose p*j + 4*d = -38 - 62, j = -4*d - 36. Calculate the lowest common multiple of 2 and (-2)/j + (-1272)/(-64).
20
Suppose 3*a = -4*a + 21. Suppose -2*h = -a*o - 4*h + 37, -4*o + 36 = -4*h. Let l = 27 + -26. What is the smallest common multiple of o and l?
11
Let u = 47 + -43. Find the common denominator of ((-9)/(-12))/((-3)/86) and 2/u + (-36)/16.
4
Suppose -4*i = -8*i + 80. Suppose -i = -5*h, 5*s = -2*h - 3*h + 115. Let d = s + -10. Calculate the lowest common multiple of 1 and d.
9
Find the common denominator of (-4722)/(-612) - (-24)/204 and 611/56 + (-4)/14.
24
Suppose 20 = h + 3*h. Find the common denominator of 2/h + 1767/(-330) and (-3 + (-64)/(-10))*(-30)/28.
154
Calculate the common denominator of -83/40 and 158/(-3)*((-230)/(-160))/23.
120
Suppose h - 2 = 0, 4*d + 2*h + 3*h - 146 = 0. Suppose 3*l + l = 0, -3*l + d = 2*z. Calculate the smallest common multiple of 7 and z.
119
Suppose 4*v - 6*v = -3*i - 116, -5*v + 244 = 4*i. Calculate the least common multiple of v and 18.
468
Let m be (-7)/(-21)*(0 + 9). Suppose -m*t = -t - 46. Let i = -9 + t. What is the smallest common multiple of 18 and i?
126
Let i = 4816069/190 + -25348. Find the common denominator of i and -2.
190
Find the common denominator of ((2/(-6))/(7/(-259)))/5 and -1 + 28/144 - 2.
180
Suppose -1584 = i - 17*i. Calculate the least common multiple of i and 9.
99
What is the common denominator of (1 - 44)*1/3 and -2*(-39)/108*-10?
9
Let o(q) = -120*q - 660. What is the least common multiple of o(-8) and 10?
300
Suppose 7*i + 1296 = 19*i. What is the lowest common multiple of i and 12?
108
Calculate the smallest common multiple of 18/(-3)*(-2 + 1) and 3/(-2) + 2 + 50/20.
6
Let b = -764 - -3041/4. Find the common denominator of b and (63/(-12))/((-15)/(-34)).
20
Let u(n) = -35*n**3 - 1. Let w be u(-1). Find the common denominator of (w/(-10))/((-21)/35) and (6*8 + 1)/(-6) - -2.
6
Let k(a) = -a - 15. What is the lowest common multiple of 9 and k(-17)?
18
Find the common denominator of 49/30 and -7 + (1 - (-72)/(-40)).
30
Let z(w) = w**2 + 8*w - 101. Calculate the lowest common multiple of z(7) and 6.
12
Let i = 1241/16 - 313/4. Let n be 64/(-48) - (-80)/6. What is the common denominator of i and 1 - (-3 + 225/n)?
16
Let o = 516143/1105 + -6066/13. Find the common denominator of -89/2 and o.
170
Let m be 0 + (-496)/(6 + -2). Calculate the common denominator of -4/3 and m/36 + 2 - 0.
9
Let x(r) = -r**3 - 11*r**2 + 14*r + 27. Let d be x(-12). Suppose -d*o = -7*o + 56. Calculate the least common multiple of o and 42.
42
Let d be 1 + 2 - 3/(-6)*2. Let f = -5785/846 - -17/282. Calculate the common denominator of f and d/20 - (1023/90 + 1).
18
Suppose 3*u - 21 = -0*u. Suppose 25 = -k + 3*c, 2*k - 3*c + 10 = -u*c. Let b = k - -6. Find the common denominator of 44/7 and b.
7
Let b be (5/10)/((-1)/(-4)). Suppose -2*p + 9 = p - b*k, 5*p - 15 = -5*k. What is the smallest common multiple of p and 9?
9
Let y(o) = 14*o - 142. Calculate the smallest common multiple of 33 and y(29).
264
Let t(q) = 9*q - 30. Calculate the smallest common multiple of t(6) and 12.
24
Suppose -5*i = i - 24. Suppose t - i = -4*f - 2, 5*f + 5 = 0. Calculate the lowest common multiple of t and 11.
66
Let j(i) = 37*i + 110. Let x be j(-3). Let b be (1/(-3))/(1/(-9)). What is the lowest common multiple of 30 and 1*(x + b) + 16?
90
Let s(x) = x + 2. Let v be s(-5). Suppose -4*h = -h + 4*o - 18, 5*h - 4*o + 2 = 0. Calculate the least common multiple of (-2)/(-5) + v/(-5) and h.
2
Let z be -4 - 3/((-12)/104). Suppose -3*i - 4 + z = 0. Calculate the smallest common multiple of (-1 + 7/5)*20 and i.
24
Let v = 410921/22 + -18674. Let h = 2444 + -19607/8. What is the common denominator of v and h?
88
Let q = -55 + 62. What is the lowest common multiple of 18 and ((-36)/q)/(18/(-63))?
18
Let z be (-1 - 2) + 3 + 13. Let k = 28 - z. What is the lowest common multiple of k and 6?
30
Let z = 609 - 2529/4. Calculate the common denominator of 11/(-1*5/1) and z.
20
Let d = -42657/2 + 5566711/261. Find the common denominator of 127/6 and d.
522
Calculate the common denominator of (2 + 516/(-256))/(56/1876) and 53/32.
128
Suppose 6*f - 1914 = -282. What is the least common multiple of f and 56?
1904
Let u(j) = 401*j + 8 - 4 - 1. Let d be u(-5). Let o = d - -36017/18. Calculate the common denominator of 75/16 and o.
144
Let d be 2*(-4)/30*(22 + 3). Let m = d - 5/3. Calculate the common denominator of 61/6 and m.
6
Suppose -9*q - 4*q = -312. Calculate the lowest common multiple of q and 12.
24
Suppose -5*n = 8 + 2, y - 4*n - 29 = 0. Let m = 40 - y. Suppose -l + 2*k + 28 = -0*k, -l - k = -m. What is the smallest common multiple of l and 16?
176
Let v = -1347/76 - -180/19. What is the common denominator of v and -101/86?
172
Suppose -5*c + 65 = 5*u, -5*u = 3*c - u - 43. Let q = c - 5. Suppose q*d = -d + 30. What is the smallest common multiple of 22 and d?
66
Suppose 2*s - 5*u - 34 = 0, -5*s - u + 77 = -35. What is the least common multiple of s and 104?
1144
Suppose 3*x - 20 - 40 = 0. Calculate the smallest common multiple of (1 + (-35)/15)*(0 - 18) and x.
120
Let b = -43135/6 + 7206. Let w be ((-13)/18)/(2*(-3)/12834). Let d = w - 1559. Calculate the common denominator of d and b.
6
Suppose -594 = -4*l - 30. Let g be (l/36 + -4)*-121558. Let m = 10106 - g. What is the common denominator of m and 109/14?
42
Let m = 68752 - 134751/2. Let u = -1351 + m. Find the common denominator of u and -55/8.
8
Let w(u) = 3*u - 7. Let l be w(6). Suppose 2*z + 27 = -5*m + 116, 0 = m + 3*z - 23. Let o = m - l. What is the least common multiple of o and 16?
48
Find the common denominator of -93/224 and (288/(-84))/(-12) - 