 2088 = 0. Let q = d + -2859/4. What is the common denominator of -53/14 and q?
28
Let f = -4 - -14. Let z be (-8)/(-20) + 596/f. What is the smallest common multiple of 3 and z/9 + 2/6?
21
Let c = -2974/9 + 331. What is the common denominator of -46/15 and c?
45
Let w = 2677/8 - 5435/16. Let z = 6/1613 + -27493/19356. Find the common denominator of z and w.
48
Suppose 4*d - 3*d - 14 = 0. Calculate the lowest common multiple of (-1 - 3)/((-6)/27) and d.
126
Let c(b) = -9*b**2 - 4 - 4 - 9*b - b**3 + 0*b**3. Let n be c(-8). Let x(i) = -i**2 + i + 11. What is the smallest common multiple of 1 and x(n)?
11
Let r = 102339/10 + -10242. Let b = 1192 + 2809. Let i = b + -79971/20. What is the common denominator of r and i?
20
What is the common denominator of (-3)/21*(-23)/(-2) and -97/18?
126
Let u(w) = 0*w**2 - w**3 + 0*w**2 - 4 + 3*w - 5*w**2. Suppose 29 = -5*b + a, 0 = -4*b - 4*a - 17 - 11. What is the lowest common multiple of u(b) and 8?
56
Suppose -5*b - 7 = 13, -3*b = 5*l - 3. Calculate the smallest common multiple of 6 and l.
6
Let k(l) = -l**3 - 11*l**2 - 3*l - 5. What is the smallest common multiple of 16 and k(-11)?
112
Let h = -6014/11 + 12129/22. Let k = -1294/9 - -254912/1773. Let g = k + -973/3546. What is the common denominator of g and h?
198
Let h be (-27)/(-12) + (-2)/8. Let y = 717 - 11505/16. Find the common denominator of (h/(-20)*23)/(-2) and y.
80
Let y = -1755 - -17603/10. Let m = 556/3 + -5587/30. Find the common denominator of y and m.
10
Let i(y) = 5 + 4*y + 2 + 2*y - 5*y. Calculate the smallest common multiple of i(3) and 3.
30
Find the common denominator of (-24*12/(-21))/(-2) and -18/41.
287
Let k = 18 - 8. Calculate the smallest common multiple of k and 14.
70
Let u be (-779)/(-22) + (0 - 1). Let y be (-2)/1 - (-68)/22. Let n = u + y. What is the common denominator of -50/11 and n?
22
Let s(y) = y**3 - 12*y**2 + y + 10. Let n = 1 + 11. What is the lowest common multiple of s(n) and 8?
88
Let r = 491 - 45662/93. Let x be ((-700)/(-198))/(62/3). Let l = r + x. What is the common denominator of -44/7 and l?
77
Suppose 1 = -b - 0. Find the common denominator of (-1)/b - 228/(-32) and 36/7*7/(-11).
88
Let v = 1018/7 - 145. Let n = 18391/3246 - -1/1082. What is the common denominator of v and n?
21
Let j be 2*-2 + (9 - 10). Let z = 15 + j. Calculate the smallest common multiple of 54 and z.
270
Let t be 1/(-11748)*(-452190)/9. Let k = t - -1/979. Find the common denominator of -17/32 and k.
288
Suppose 5*f + 3*m = 228 - 61, 0 = -2*m + 8. Suppose 2*s = 2*p + p + f, -3*p = 3. Calculate the lowest common multiple of 6 and s.
42
Let i be (-4)/12 + (-78)/9. Find the common denominator of i/(-6)*(-14)/18 and 109/20.
60
Calculate the common denominator of (-2728)/(-462) + (-4)/7 and 58/7.
21
Let d(m) = -m**3 + 4*m**2 - m + 8. Calculate the lowest common multiple of d(4) and 20.
20
Let y be 36/14 - (-6)/14. Let r(j) = -3*j**3 - 2*j - 1. Let v be r(-1). Suppose y*m + 2 = v*m. What is the smallest common multiple of m and 8?
8
Let j be -1 + ((-27177709)/266710 - -1). Let v = 4/26671 - j. Let u = v + -102. What is the common denominator of u and -119/20?
20
Suppose -5*c = -4*z + 98 - 24, -4*c = 4*z - 56. Let u = 25 - z. Calculate the least common multiple of 5 and u.
45
Suppose 0 = b + 2*i - 5, 5*i + 10 = b - 2*b. Let h = 20 - 14. Let k = b - h. What is the smallest common multiple of k and 7?
63
Suppose -2*g + 2*n = 0, 0 = -n - 1 - 4. Calculate the smallest common multiple of 20 and (-2)/g + 432/20.
220
Let g(r) = -2*r + r + 0 + 4. Let f(h) = 2*h**2 - 8*h + 4. Calculate the lowest common multiple of g(-4) and f(4).
8
Suppose -3*y - 2*y = -135. Let z be y/(5/2 - 2). Suppose z = 2*g + g. What is the lowest common multiple of g and 16?
144
Let k(b) be the third derivative of -b**6/120 - b**5/5 + b**4/2 + 8*b**3/3 + 6*b**2. Let x = 3322 - 23211/7. Find the common denominator of x and k(-13).
7
Let d = -4 + 2. Let x(y) = y**3 + 2*y**2 - y + 1. Let z be x(d). Suppose -z*i + 0 + 3 = 0. Calculate the least common multiple of i and 6.
6
Let y(l) be the first derivative of 374*l**3/3 - 1. Let r be y(3). Let u = 40505/12 - r. Find the common denominator of u and 57/14.
84
Calculate the common denominator of 4*(-1)/(-16) - 91/(-44) and 5/(-14)*218/(-10).
154
Suppose -7*i + 32 = -2*i - 3*c, 0 = 3*i - 4*c - 17. Calculate the least common multiple of 3 and i.
21
What is the common denominator of 2/(-6) - (-151)/30 and (1/2)/(2*56/416)?
70
Suppose -2*i = i - 24. Suppose 2*b - i = 0, -3*s - s = 3*b - 36. What is the lowest common multiple of s and 1 + 6 + 3 + -5?
30
Let a be 21/6*(2 + -4). Suppose -2*l = 3*l - 195. Calculate the common denominator of l and 732/(-63) - 2/a.
3
Find the common denominator of -19/2 and (3/128)/((-3)/(-300)).
32
Let d(r) be the first derivative of 22*r**3/3 - 2. Let s = 8 + 0. What is the least common multiple of d(-1) and s?
88
Let r(w) = -3*w + 20. What is the least common multiple of r(6) and 18?
18
Let c = 13273/2086 - 6/1043. Calculate the common denominator of c and 83/6.
42
Suppose 0*i = 4*i + 16. Let v = i + 6. Suppose -v*f = -f - 22. Calculate the least common multiple of 20 and f.
220
Let p(h) = 249618*h**2 + h. Let a be p(-1). Let o be (-2)/(-7) - a/63. Let t = -3957 - o. Calculate the common denominator of t and -35/9.
9
Suppose 7*y = 2*y + 130. Let t = y - 17. Calculate the least common multiple of 7 and (t/4)/(1/4).
63
Let d = 65087/60 - 4335/4. What is the common denominator of d and 3/8?
120
Let l = -155 - -170. What is the lowest common multiple of l and 66?
330
Let q = 3706/11 + -335. Find the common denominator of q and 71/8.
88
Suppose -160 - 67 = q. Let o = 42/673 + -2749961/12114. Let i = q - o. Find the common denominator of 19/14 and i.
126
What is the lowest common multiple of (9/(-6) + 3)/((-12)/(-128)) and 134?
1072
Let w = -8 + 11. Suppose 3*z + 2*i - 5*i = 18, w*i - 22 = -2*z. Calculate the least common multiple of 6 and z.
24
Let j(y) = 5*y + 3. Let b(k) = -k + 1. Let u(q) = -4*b(q) - j(q). Let z be u(-5). What is the common denominator of ((-6)/72)/(z/(-596)) and 45/22?
66
Let h(q) = -2*q**3 - 9*q**2. Let x be h(-6). Let u = 869/8 - x. What is the common denominator of 426/88 - (-2)/8 and u?
88
Let j = 59/5 - 32/15. What is the common denominator of 37/39 and j?
39
Let f = 2179 - 15228/7. Find the common denominator of f and (-394)/(-40) + (-2)/(-8).
70
Let f = 7590 - 151831/20. Let h be (-3)/(-1)*2/2. What is the common denominator of f and (-146)/(-6)*h/(-18)?
180
Let s = -7 - -6. Find the common denominator of (-8)/18*105/(-12) and 1*73*s/(-6).
18
Suppose -2*g + s + 59 = 3*g, -s - 11 = -g. What is the smallest common multiple of 22 and g?
132
Let x = 871221/211 - 4129. Let z = 14591/3376 - x. What is the common denominator of -33/4 and z?
16
Let y be 14/(-5) - 2/10. Calculate the smallest common multiple of y - -1 - (-8)/2 and 10.
10
Let y be 12/10*10/4. Suppose 6*a - 3*a + 14 = w, -3*w - y*a = 6. What is the lowest common multiple of w and 3?
6
Let h be (-2)/(0 - (-144)/(-9573)). Let g = h + -397/3. What is the common denominator of g and (1/(-18))/((-2)/(-21))?
24
Let k be 261/(-263) - (1 - 2). Let u = -736489675/1052 + 700081. Let v = u - k. Find the common denominator of v and -23/11.
44
Let w = 263/11 + -1147/88. Calculate the common denominator of 113/18 and w.
72
Let u = 70057/10254 - -2/1709. Suppose -3*p + 2117 = -4309. Let k = -21391/10 + p. Calculate the common denominator of u and k.
30
Let o(r) = r**3 + 2*r**2. Let t be o(-2). Suppose z + t*z = 22. Let m(q) = 18*q + 4. What is the smallest common multiple of m(1) and z?
22
Let n(l) = -l**3 + 17*l**2 - 14*l - 24. What is the smallest common multiple of 32 and n(16)?
32
Suppose -75 = 5*m - 10*m. Calculate the common denominator of (119/(-35))/((-2)/m) and -59/10.
10
Let u be (-10)/((9/12)/3). Find the common denominator of 121/(-1)*1/20 and (2/(-12))/(u/1095).
80
Let t = 2922 - 11615/4. Let s = -2694005/336 + 116084/21. Let y = 2488 + s. Find the common denominator of y and t.
16
Let v = -1751/8 - -226. What is the common denominator of v and ((-6)/(-80))/(4/10)?
16
Let s = -38919 + 120743/3. Let k = -1317 + s. Find the common denominator of 13/8 and k.
24
Let l(t) = 4*t - 8. Let m be l(7). Let p = m + -11. Calculate the le