324. Calculate the common denominator of v and 77/32.
96
Suppose -l - 30 = 17. Let g = -25 - l. Calculate the least common multiple of 10 and g.
110
Let z be (20*1)/((6/(-9))/(-1)). What is the least common multiple of 3 and z/4 - (21/6 - 4)?
24
Let v = -3 - 1. Let n(z) = -z - 2. Let q(s) = 2*s**2 + 2*s + 2. What is the smallest common multiple of n(v) and q(-2)?
6
Let y be 6/18 + (-58)/(-6). Let a = y - 12. Calculate the least common multiple of 2 and (28/21)/(a/(-36)).
24
Let u = -2841/860 - 88/43. Let l be (82108/(-16))/(9/10). Let h = l + 5700. What is the common denominator of u and h?
180
Suppose 2 = -2*n - v - v, -3*v - 24 = -4*n. What is the common denominator of -73/24 and -33*(n + (-95)/30)?
24
Let b = -83903/75 + -6324/25. Let g = 1384 + b. Let j = -1/83 + -3400/249. Find the common denominator of j and g.
3
Suppose -3*v = 2*v - 45. Let d = -76 + 76. Suppose 0 = -5*i + 15, 0 = -d*n + 4*n - 4*i - 20. What is the smallest common multiple of v and n?
72
Calculate the least common multiple of 11 and ((-6)/(-12))/(3/1278).
2343
Suppose a + 0*a = 4*i - 30, 2*a + 4 = i. Let z be i/(-24) + 3367/(-12). Let w = -776/3 - z. What is the common denominator of w and 77/20?
20
Let k = -3/9011 - 1234435/216264. What is the common denominator of ((-79)/((-22120)/720))/(0 + (-8)/42) and k?
24
Let o(i) = -9*i + 6*i**3 + 9*i**2 + 12 - 11*i**3 + 4*i**3. Let r be o(8). Calculate the lowest common multiple of (2 + -4)/((-1)/r) and 12.
24
What is the smallest common multiple of (105 - -24) + 1*(-2 - 1) and 22?
1386
Let l = 98481/10 + -9839. Let j be (-2577)/(-10356) - (-1)/(-4). Let f = j - 9485/6904. Find the common denominator of l and f.
40
Let p(k) = k**2 + 6*k + 7. Let a(o) = 4*o**3 + o**2 - o**3 - o - 2*o**3 - 6 + 0*o**3. Let c be a(0). What is the least common multiple of p(c) and 2?
14
Suppose d - 6 = -24. Let o = d - -25. Suppose -2*u + 29 + o = 0. What is the least common multiple of u and 16?
144
Calculate the smallest common multiple of (-4)/14 - 674/(-7) and 6.
96
Let h be 315/(-14) + 1/2. Calculate the common denominator of (620/(-100))/(h/(-5)) and 93/20.
220
What is the common denominator of (5 + -1)/(2 + (-58)/24) and -49/27?
135
What is the common denominator of ((-663)/306)/(2/4) and 31/90?
90
Suppose 3*g + g = 20. Calculate the common denominator of 497/14*(-15)/(-45) and g/2*(-2)/14.
42
Suppose 2*z + 209 = 213. Let f(l) = -l**2 - l + 3. Let k be f(-6). Calculate the least common multiple of 2/9 - 183/k and z.
14
Let t = 19515/22 + -887. What is the common denominator of t and -75/164?
1804
Let f(r) be the third derivative of r**5/60 + 2*r**4/3 + 5*r**3 - 28*r**2. Calculate the smallest common multiple of f(-14) and 4.
4
Suppose 0*v - 2916 = -4*v. Let s = -2869/4 + v. What is the common denominator of (-1788)/9*-1*11/(-264) and s?
36
Let q(s) = s**2 + 3*s + 2. Let a = 52 + -48. What is the lowest common multiple of 2/a + 220/40 and q(-5)?
12
Suppose 0 = 4*j - 0*j + 48. Let c = j - -14. Suppose 0 = -5*t - 7*k + c*k + 60, 5*t - 2*k = 60. What is the lowest common multiple of 4 and t?
12
Let r(h) = -h**3 - 2*h - 1. Let x be r(0). Calculate the least common multiple of (0 + x/2)*-12 and 22.
66
Let p = -11881/6996 - 1/159. Find the common denominator of p and -59/20.
220
Let z be 3/12*1172/(-3). Let y = z + 865/6. Let d = -19887/10 - -1993. What is the common denominator of y and d?
10
Let a(y) = y**3 - y**2 - 24*y - 24. What is the smallest common multiple of 68 and a(7)?
204
Let t = 3995101/6 - 667535. Let f = 1680 + t. Find the common denominator of f and 0 - -1*(-78)/4.
6
Suppose 0 = -3*z - 2*x + 98, 5*x - 240 = -5*z - 70. Suppose -3*n = -5*t + 19, 5 = 3*t - 2*t. What is the smallest common multiple of n and z?
30
Let x be 187683*12/54*2/(-44). Let m = -1896 - x. Calculate the common denominator of m and -21/5.
165
Suppose q + 2*q = 0. Suppose -4*l + 14 = -3*k - 23, 0 = -4*k - 4*l - 12. Find the common denominator of (q + (-33)/(-30))*-1 and k.
10
Let c = 31187/15 - 2077. What is the common denominator of c and -8/135?
135
Calculate the common denominator of 109/36 and 2 + (-20)/12 + (-69)/378.
252
Suppose -4*w - 40 = y - 2, 0 = y - w + 28. Calculate the common denominator of ((-3)/(-66))/(2/(-26)) and 297/y - 6/(-6).
110
Let f = -30 + 38. Find the common denominator of (-382)/48 - 4/6 and (-22)/(-99)*258/f.
24
Suppose 2*u - 3*u + 2*i = 0, -3*u = -i - 5. What is the common denominator of (13/(-14))/(u*(-1)/18) and -83/16?
112
Let d be (7/((-49)/(-2)))/((-1)/(-14)). Calculate the common denominator of 628/120 - (d - 0) and 20/9.
90
Find the common denominator of ((-288)/290 - -1)/((-2)/335) and 49/30.
870
Let m = -5 - -29. Let i = -3529 + 3538. Calculate the lowest common multiple of m and i.
72
Calculate the common denominator of (2/24)/((-4)/2492*-7) and 101/18.
36
Let l(p) = -p**3 + 8*p**2 + 9*p + 5. Let t be l(9). What is the common denominator of -43/8 and (-3)/(-7)*(-4 + t)?
56
Let f = -133 + 139. What is the smallest common multiple of f and 368?
1104
Suppose p - o + 0 = 3, -6 = -2*p - 5*o. Suppose p*f + 7 = -2*t, 0*t + t - f - 9 = 0. Calculate the least common multiple of 8 and t.
8
Suppose -2*b = -2 - 4. Suppose 4*g - 38 = -2*d, 7*d - 11 = b*d + 5*g. What is the smallest common multiple of 10 and d?
90
Let u be (4*1/194)/(-2 - -7). Let t = 13099/970 - u. What is the common denominator of t and -65/2?
2
Let c be (-3)/(5/(-739 - -4)). Let y(n) = n**3 - 6*n**2 + 5*n - 4. Let t be y(5). Find the common denominator of -13/12 and (-6)/t - c/56.
24
Let k = 10083/28 + -1463/4. Let n be (-26474)/16 + 2/(-8). Let z = n - -1651. What is the common denominator of k and z?
56
Let c = -33157/7060 + -5/1412. Calculate the common denominator of -53/94 and c.
470
Let u be (7 - 3)*(-14)/(-8). Suppose -u = -9*c + 29. What is the lowest common multiple of c and 20?
20
Let o = 1/1236 + -3919/6180. Find the common denominator of o and -65/72.
360
Let d = 90955/78 - 1166. Find the common denominator of -131/78 and d.
78
Suppose 24 = -2*x + 30. Calculate the smallest common multiple of x and (-4)/6*(-2 - 16).
12
Let p(o) = -2*o**2 + 2*o. Let x be p(2). Let b be (-1 - x) + (5 - 3). Suppose -b*t + 24 + 1 = 0. Calculate the lowest common multiple of t and 1.
5
Let g(n) = 3 + n**2 + 3*n + n**2 - 5 - 6*n. Calculate the lowest common multiple of 3 and g(5).
33
Let c = 982956/31 + -31714. Let m = c + 4571/186. Let g = -10140 - -243511/24. Find the common denominator of g and m.
24
Suppose 0 = -7*q + 38 + 11. What is the lowest common multiple of q and 1/((-3)/12*-4)?
7
Calculate the common denominator of 15/116 and 12/6 - 1284/192.
464
Let i = 438576513/7337 - 59776. Let n = -33349/7337 - i. Let j = -7663 - -76529/10. What is the common denominator of j and n?
110
Let a = -40 + 32. Find the common denominator of 2/a - (-2 + (-260)/(-32)) and -27/8.
8
Let j be 828/115 - 1/5. Suppose 4*q = 33 + j. What is the least common multiple of q and 266?
1330
Let w = 44633 + -148404723/3325. Let r = w - 136361/59850. Find the common denominator of -53/3 and r.
18
Suppose 0 = 3*y + 4*u - 67, -2*y - 86 = -6*y - 2*u. What is the smallest common multiple of y and 18?
126
Let i be (-3 - (-95108)/30) + (-6)/9. Let t = -3179 + i. Let b = 5635/1278 - -5/142. Calculate the common denominator of t and b.
45
Let j(a) = -a**3 - 6*a**2 + 6*a + 6. Let h be j(-7). Suppose 2*n - 17 = h. Calculate the least common multiple of n and 33.
165
What is the smallest common multiple of 8*5/20*14 and 32?
224
Let u be 25/(114/(-3 + 1)). Let y = u - -5693/114. Calculate the common denominator of 93/2 and y.
2
Let h be (-2)/(-10) + 292/(-10) + 3. Calculate the common denominator of (-180)/h - (3 - 0) and -37/10.
130
Let q(c) = -3*c**3 - 4*c**2 + 2*c + 28. Let t(i) = 4*i**3 + 5*i**2 - 3*i - 27. Let l(b) = 3*q(b) + 2*t(b). Calculate the least common multiple of 24 and l(0).
120
Let v(d) = -4*d - 4. Let m be v(-5). What is the common denominator of ((-70)/(-24) - -1)/(m/24) and -13/6?
24
Let x = -523/114 + 13/76. Calculate the common denominator of x and -35/57.
228
Let c = 24 + -12. Suppose 50 = c*o - 7*o. What is the lowest common multiple of o and 2?
10
Let v be 284/(-18) - 2/9. Let d = v + 21. Calculate the least common multiple of d and 8.
40
Suppose -184 = t - 6*t - 2*z, 4*t - z - 142 = 0. W