0
Let q be (-96)/40*(-481)/(-2). Let d = -579 - q. Calculate the common denominator of 81/8 and d.
40
Let r(y) = 29*y**3 + 3*y**2 - 6*y + 4. Let b be r(1). Suppose 0 = 4*w + 3*z - 29, 3*w - b = -w - 2*z. What is the least common multiple of w and 5?
40
Let r = 66091/16940 - -38/605. Let z = -34879/28 + 5007/4. Find the common denominator of z and r.
28
Suppose -84 = -9*s - 30. Suppose 0 = -4*b + 2*w - 0*w + 14, -4*w - 6 = 3*b. Calculate the lowest common multiple of b and s.
6
Let g(m) = -m**3 - m**2 + 3*m + 15. Let q be g(-11). Let u = q - 4673/4. Calculate the common denominator of u and -29/4.
4
Let o be 6/(0 - 3) + 0. Let y be 18*1*o/3. Let d(v) = v**3 + 11*v**2 - 14*v - 2. Calculate the smallest common multiple of d(y) and 16.
176
Calculate the common denominator of (5/10)/(20/(-8))*-24 and -81/10.
10
Suppose 56 = 18*o - 13*o + 2*k, -44 = -3*o + 4*k. Calculate the lowest common multiple of 28 and o.
84
Suppose -8*p + 7*p + 15 = 3*h, 4*h = 2*p - 20. Suppose -3*d - d - 2*s + 18 = 0, 4*d - 11 = 5*s. What is the smallest common multiple of d and p?
12
Let f = 5613737/2414 + 10/1207. Let y = f - 2376. Calculate the common denominator of y and 51/20.
20
Let p(l) = -15*l**2 + 345*l + 55. Calculate the lowest common multiple of 165 and p(23).
165
Let g = 3677805713/2040 - 1802846. Find the common denominator of -31/10 and g.
2040
Let j(s) = -s**2 + 10*s - 2. Suppose 2*p - 112 = -90. Calculate the lowest common multiple of j(9) and p.
77
Let u(x) = 6*x - 8. Let s = 104 - 101. Calculate the least common multiple of 10 and u(s).
10
Let r be 4/((-152)/(-648803)) + 0 + -3. Let i = r - 17072. What is the common denominator of i and 83/2?
38
Calculate the lowest common multiple of 12 and (-2)/(-6 - -8 - 243/120).
240
Let c(v) = v**3 + 6*v**2 + v - 3. Let s(j) = -j - 1. Let r(i) = -c(i) + 6*s(i). What is the least common multiple of r(-5) and 7?
7
What is the common denominator of (-2)/(-2)*(-120)/(-1920) and -17/1858?
14864
What is the common denominator of (1300/(-192) - -7)/((-2)/42) and -55/36?
144
Let c(t) = t**2 - 24*t + 47. Let f be c(22). Suppose b - 5*b + 23 = -3*s, 3*b + f*s - 33 = 0. Calculate the least common multiple of b and 20.
40
Let a = 3132477/526460 - 2/26323. Let l = 1797/310 + -34/31. Find the common denominator of l and a.
20
Suppose -3*p + 2 = -h - 7, p + 5*h = 19. Suppose -4*y + 10 + 31 = j, 4*y - p*j - 16 = 0. What is the smallest common multiple of y and 4?
36
Let r = 3 - 5. Find the common denominator of (4/120)/(4/(-530)) and 73*(0 - (-1)/r).
12
Let o = -33 + 42. Suppose o*d = -d + 90. What is the lowest common multiple of 30 and d?
90
Calculate the common denominator of 0 + (-28740)/(-5472) - 5 and 23/18.
1368
Let u = -1/47713238 - -7107411645745/1288257426. Let g = 5516 - u. Calculate the common denominator of g and -46/33.
297
Let j(b) be the first derivative of b**4/4 - 8*b**3/3 + 3*b**2 + 7*b - 2. Let w be j(7). Calculate the common denominator of -151/18 and (4/(-40))/(w + -2).
180
Suppose 4*u - 31 = -4*q + 21, 0 = -4*u - 5*q + 50. Suppose 0 = -5*a + u, 0 = j - 2*j - 3*a + 17. Calculate the least common multiple of 23 + (2 - 3/1) and j.
88
Let l(z) = z**3 - 5*z**2 + 6*z - 3. Let v(u) = -12*u**2 + 15*u**2 + 4 - 24*u - 6*u**2. Calculate the least common multiple of l(4) and v(-8).
20
Calculate the least common multiple of (-84)/((-9)/3) + 7 and 60.
420
Let n = -35670659683/1869 + 19085426. Let f = n + 2/1869. Calculate the common denominator of f and -9/4.
84
Let z = 10016809/12273 - -3/8182. Let h = z + -818. Find the common denominator of h and 55/12.
12
Let w = 3311/15 + -671/3. Let f = 2495/6 + -420. Calculate the common denominator of w and f.
30
Suppose -5*d = -44 - 21. Suppose 5*i = -3*f + 41 - d, -3*i = 2*f - 16. Let h(p) = p**3 + 4*p**2 - p. What is the least common multiple of i and h(-4)?
8
Let a be -3 - -37081*(-1)/18. Let l = a - -2062. Calculate the common denominator of l and ((-46)/16)/(27/12).
18
Let o be (12/18)/(6/19192). Let w = -2135 + o. What is the common denominator of -35/11 and w?
99
Suppose 8*z - 5 = -5. Suppose z = 4*l - 116 + 28. Let u = -11 - -27. What is the least common multiple of l and u?
176
Let b = 6096139971/10010 - 7917030/13. Let x = b + -191/35. What is the common denominator of x and -81/10?
110
Let r = 578 - 226. What is the smallest common multiple of 16 and r?
352
What is the common denominator of (-4)/(-10) + (123395/900)/(-37) and -101/24?
72
Suppose 0 = 8*k - 2 + 18. Let f(m) = -m**3 + 2*m**2 + 2*m + 2. What is the lowest common multiple of f(k) and 44?
308
What is the common denominator of 85/112 and (-2)/(0 + 320/328)?
560
Let s = 4369 - 4339. Suppose 4*c + 4 = -l - 0, -4*l - 5*c + 28 = 0. What is the smallest common multiple of s and l?
60
Let v = 638 + -1490. Let d = v - 1086. Find the common denominator of -55/8 and d/(-540) + 6/(-27).
120
Let q(v) = -v**3 + 3*v**2 + 12*v - 5. Let u(w) = -2*w - 4. Let b be u(-7). Let p = b - 7. Calculate the lowest common multiple of p and q(5).
15
Let a = -3318/11 - -1111497/3685. Let y = a - 20417/2010. Find the common denominator of y and -133/48.
48
Suppose 3*c - 3*n = 2*n - 910, 4*c = -5*n - 1190. What is the common denominator of (-460)/c - (2 + -1) and 62/27?
135
Suppose 0 = -4*z + 5 + 15. Suppose -j - 200 = 5*b - 39, 863 = -z*j + 4*b. Find the common denominator of -53/22 and (j/(-30) - 0) + 0.
110
Let g = 489 - 423. Calculate the least common multiple of g and 72.
792
Let c = -2/2007 + 70261/16056. Let k = -1/5882 - 21101/14275614. Let n = -201361/48540 + k. Find the common denominator of n and c.
40
Let a be (-19)/((-9)/(-15) - (-2)/5). Let d = 37 + a. Calculate the least common multiple of 10 and d.
90
Let d = -3687 - -1788. Let f = d + 7557/4. Find the common denominator of f and -25/14.
28
Let y = -3624857/80 - -45312. Find the common denominator of -17/16 and y.
80
Let w = 52 + -28. Let x = 34 - w. Calculate the smallest common multiple of 5 and x.
10
Let l(p) = 2*p**2 - 57*p + 44. Calculate the least common multiple of 6 and l(30).
402
Let a(j) = j**2 + 14*j - 9. Let n be a(-15). Let z(o) = 3*o**2 - 18*o + 12. Calculate the smallest common multiple of 24 and z(n).
24
Let o = 106 + -52. Let u = o + -46. What is the smallest common multiple of u and 16?
16
Suppose 4*x + 670 - 94 = 0. Find the common denominator of -41/4 and 1830/x + 2/6.
8
Suppose 54 = 3*q - 57*w + 54*w, 3*q - 38 = -w. Suppose 4 = p - 4*c - 10, 0 = -2*p + 4*c + 36. Calculate the lowest common multiple of q and p.
154
Suppose -5*y - 25 = -3*m - 188, 0 = -2*y + m + 65. Calculate the lowest common multiple of 4 and y.
32
Suppose 11*g = 6*g + 45. Suppose 0 = 3*h + 3 - g, 4*h + 60 = 2*p. Let o(r) = r**3 - r**2 - r - 4. Calculate the least common multiple of o(3) and p.
374
Let s(z) = -5*z**2 - z + 8. Let l(g) = -4*g**2 - g + 7. Let j(f) = 6*l(f) - 5*s(f). What is the least common multiple of (17 - -5)/((-2)/(-2)) and j(-3)?
154
Let f be 1 + 0 + 0 + 29. Let l(s) = 6*s + 282. Let b be l(-47). Suppose -3*n + f = -b. What is the smallest common multiple of 9 and n?
90
Let d be -1 + 3 - 1643/2. Let n(z) = 30*z**3 + 3*z**2 + z - 1. Let f be n(3). Let a = f + d. Find the common denominator of 6/11 and a.
22
Let n be 66/14 - 4/(-14). Suppose -x + 5160 = -4*u, 4*u + 5160 = -2*x + n*x. Let v = -5131/4 - u. Find the common denominator of v and 39/22.
44
Let n(k) = 2*k**2 - 11*k - 5. Let u be n(9). Suppose u = 3*r - r. Suppose g - 2*g - v = -14, 3*v - r = -2*g. What is the least common multiple of g and 1?
13
Calculate the lowest common multiple of (2145/(-66))/(-1 - (-1)/2) and 45.
585
Let k be 2 - (0 - -1) - -2. Let w = 1444 - 26117/18. Calculate the common denominator of k/(-18 - 2/1) and w.
180
Let y = -106 - -105. Calculate the common denominator of 7/4 and (1/6)/(y/(345/(-12))).
24
Let f = 1169993/6 + -194493. Let i = f + -12019/24. Find the common denominator of i and -27/22.
264
Suppose 4*w + 213 = 753. What is the least common multiple of 45 and w?
135
Suppose -14*q + 72 = -12*q. Calculate the least common multiple of q and 54.
108
Let i(y) = -y**3 - 3*y**2 - 12*y + 18. What is the lowest common multiple of 16 and i(-7)?
2384
Let z = 16 + 3. Let t = -16 + z. What is the least common multiple of 9 and t?
9
Let l = -30929/6 + 5175. Let c = 6173/24 - 1571/6. Calcul