et t be (-424129)/57570 + (-1)/(-5). Let q = t + 1/1919. Suppose -4*g = 12, 5*r + 5*g - 28 = 47. Calculate the common denominator of r and q.
6
Let p = 10013/202 - 7/101. What is the common denominator of p and 145/6 + 7 + -10?
6
Suppose -5*t = -206 + 56. Calculate the lowest common multiple of 33 and t.
330
Let o = -20 - -32. Calculate the lowest common multiple of 16 and o.
48
Suppose q = -4*h - 0*q + 131, 105 = 3*h + 3*q. What is the smallest common multiple of 8 and h?
32
Let z = -72 - -45. Let n be 2/24*4*-39. Let y = n - z. Calculate the lowest common multiple of 18 and y.
126
Calculate the common denominator of (1/(-12))/(1/83) and ((-3)/14)/((-6)/(-58)).
84
Suppose a + v = 2, -4*a + 6 = -a + 2*v. Suppose -25 = -4*l + 5*x, -5*l + 0*x = a*x - 23. Calculate the smallest common multiple of 4 and l.
20
Suppose -13 = 5*r - 163. What is the least common multiple of 20 and r?
60
What is the common denominator of (342/42)/(736/28) and -83/22?
2024
Let p = 20 - 96/5. Let d = -44/21 - -23/3. Find the common denominator of d and p.
35
What is the smallest common multiple of 9 and (-177)/(-18) - 3/(-18)?
90
Suppose -2*d = 0, -6*j + j - d + 110 = 0. Calculate the least common multiple of j and 11.
22
Suppose t = 3*t + 10. Let h be (-67)/(-3)*(-2 - t). Calculate the common denominator of h/((-1 - 1) + -8) and 35/6.
30
Let g(i) = i**3 + 6*i**2 - 1. Let t be g(-6). Let y = t + 6. Suppose -2*w - 31 = -y*d + w, -3*w = 4*d - 14. Calculate the smallest common multiple of 11 and d.
55
Let r = -1355/6 - -4989/22. Find the common denominator of 1/6 and r.
66
Let k = -1 + 3. Suppose 6 = -2*v, v = 4*f - k*v - 1. Let r = 3 + f. Calculate the lowest common multiple of r and 7.
7
Let g be 0/(-1) + 4/2. Let m be -2 + g - (-14 + 1). Let f = -9 + m. Calculate the smallest common multiple of 12 and f.
12
Suppose -4*w = -9*w + 60. Calculate the lowest common multiple of w and 24.
24
Suppose 3*y - 42 = -0*y. Let g = -7 + y. Calculate the lowest common multiple of 8 and g.
56
Let f be (9/(-4))/(2/(-8)). Suppose 6*d - f = 3*d. Suppose -d*s + 17 = n, 6*s = 3*s - 3*n + 27. What is the least common multiple of s and 12?
12
Calculate the least common multiple of 12 and 148/28 + 4/(-14).
60
Let s(k) = -k**3 - 9*k**2 - 10*k - 7. Suppose 10 = -3*z - 14. Suppose 2*l - 35 = -l - 5*x, -x + 31 = 3*l. Calculate the lowest common multiple of l and s(z).
90
Let x = 41868622062 + -1825890608372417/43610. Let w = x - -2/4361. Let u = w - -251/5. What is the common denominator of u and -103/12?
12
Suppose 2*r - 100 = -2*r. Let x be (-1)/(r/(-12) - -2). Let q = 19 - x. Calculate the lowest common multiple of q and 11.
77
Let g = -3967/6 - -21877/33. What is the common denominator of (-2 - (2 - 6)) + (-106)/24 and g?
132
Suppose 38 = 2*s - t - t, 3*s - t = 47. Let x = -161 - -183. What is the smallest common multiple of s and x?
154
Let z(h) = -h**3 - 11*h**2 + 11*h - 3. Calculate the least common multiple of z(-12) and 5.
45
Suppose 20 = 4*k, w - 4*k + 74 = 3*w. What is the least common multiple of w and 21?
189
Let r = 2821/8 - 25841/72. Calculate the common denominator of r and 15*((-19)/22 + 1).
198
Suppose -28 = 2*s + 4*v, 0 = s + v + 14 + 4. Let r = 5 - s. What is the common denominator of r and 1115/60 + (-6)/8?
6
Let v be ((-2971)/(-105))/(16/40). Let x = -592/7 + v. What is the common denominator of x and 3/2?
6
Suppose 5*k - 616 = -216. Suppose -5*b + 116 = 3*w, 2*b - 4*w - k = -2*b. Calculate the smallest common multiple of 16 and b.
176
What is the least common multiple of 7 + (-3 - -2)*-2 and 4?
36
What is the common denominator of 49/18 and (-12)/(-3) + (-785)/60?
36
Let b be 3/6 + (-2201199199)/(-315735). Let o = -8/105245 + b. Let p = -6949 + o. Find the common denominator of -27/7 and p.
42
Let t = -109 - -155. Calculate the common denominator of ((-3)/(-10))/(6/238) and t.
10
Let z(a) = -a**2 + 12*a + 7. Let k be z(13). Find the common denominator of -46/5 and ((-10)/k)/((-16)/(-18)).
40
Let p = 22 + -10. Calculate the least common multiple of 6 and p.
12
Let d(s) = -2*s + 32. Find the common denominator of d(10) and 59/4.
4
Suppose -3*k + q = -16291, -20 = 4*q + q. Let t be ((-3)/(-2))/(54/195208). Let p = k - t. Find the common denominator of -97/8 and p.
72
Suppose 0 = 3*m + 6 - 72. What is the least common multiple of m and 10?
110
Suppose -4*p - 16 = -2*z, 2*p + z + 4 = -4. Let c = -155003/12804 + 24/1067. What is the common denominator of c and (p/6)/((-28)/99)?
84
Let y(q) = -2*q - 1. What is the smallest common multiple of 5 and y(-3)?
5
Find the common denominator of (1/6)/(6/(-81)*-2) and 134/(-24)*(-1)/(-2).
24
Suppose -5*i - 43 = v - 12, -3*v = -4*i - 21. Let o be 8/(-6)*9/i. Suppose -g = -o*g + 18. Calculate the smallest common multiple of g and 18.
18
Suppose 12 = -p + 4*p. What is the lowest common multiple of p and 1?
4
Let r(b) = -3*b - 3. Suppose -4*w - 7 = -3*w. Calculate the least common multiple of 22 and r(w).
198
Let y = 26253/8 - 3276. Calculate the common denominator of 29/18 and y.
72
Let q = 3503/10 - 351. Let l = 673/110 - 64/11. What is the common denominator of q and l?
10
Suppose 2*w - 2*d = -0*d - 34, 4*d = 3*w + 54. Let c be (1/(-1))/(1/(-5)). Calculate the common denominator of 18 and (-76)/w + 10/c.
7
Let o be (-5)/10 - 10/(-4). Find the common denominator of 0 + o + (-134)/(-4) and 102/(-4)*5/27.
18
Let q(p) = -p**3 + 5*p**2 - 4*p + 4. Let v(o) = 7*o - 19. Calculate the least common multiple of q(4) and v(3).
4
Suppose -3*n + 32 = -n + 4*v, -v + 19 = n. Calculate the smallest common multiple of -3 + (n - 2) - -3 and 16.
80
Find the common denominator of -2 + 24/10 + (-398)/(-80) and 43/2.
8
Suppose 2*k - 190 = 208. Suppose 2*z - 2*r = 78 + 34, -r = 4*z - k. Let t = -31 + z. What is the least common multiple of 12 and t?
60
Let p(s) = s**3 - 7*s**2 - 2*s. Let q be p(6). Let r = q - -70. Suppose 3 = -2*g + 11, 3*a = 2*g + 58. What is the least common multiple of r and a?
22
Let t = 21323/2745 - -3/305. Calculate the common denominator of -97/18 and t.
18
Let k = -7/1249 - 53203/89928. Find the common denominator of -63/4 and k.
72
Let s(l) = 3*l + 4. Suppose -3*a + 2*k - 8 = -28, -k = -4*a + 20. What is the least common multiple of s(6) and (-4)/16 + 81/a?
220
Let m(w) = -2*w - 10*w**2 - w + 4*w. Let o be m(1). Let k = -5 - o. Calculate the smallest common multiple of 14 and k.
28
Let l(p) = -p**3 - 5*p**2 - 6*p - 2. What is the lowest common multiple of 20 and l(-5)?
140
Let i = -91 - -59. What is the common denominator of 3/20 and ((-486)/i)/(9/6)?
40
Let t = 1049 + -8489/8. What is the common denominator of -103/10 and t?
40
Let a(p) = 7*p - 3. Let r be a(-3). Suppose 0 = -2*w - 3 - 5. What is the common denominator of (-6)/w + 3/r and -42/5?
40
Let d = 50950327/420546 - 73210/651. Let l = d - -8/1615. Find the common denominator of l and (-1)/(-1) + (-133)/20.
20
Let p = 19 - 11. Suppose -4*i + p*i - 72 = -3*l, 5*l + 36 = 2*i. Calculate the lowest common multiple of 2 and i.
18
Let m = 123/23 - 725/299. Let q = 772/119 - -14/51. Let k = -22/3 + q. What is the common denominator of m and k?
91
Let m(z) = 7*z - 3. What is the lowest common multiple of 9 and m(2)?
99
Suppose 5*y + 57 = 2*b - 7, -2*y = -4*b + 96. Let g(a) = a**2 + 2. What is the smallest common multiple of b and g(4)?
198
What is the common denominator of ((-95)/16 - -6)/((-2)/(-82)) and -33/2?
16
Suppose 13*j - 550 = 2*j. Calculate the least common multiple of j and 10.
50
Let l = -36706/11 - -195001/77. Let i = l - -803. Find the common denominator of -23/3 and i.
21
What is the common denominator of 29/12 and (-15)/(-32)*(-570)/(-45)?
48
Let l(i) = -i - 1. Let j(x) = -11*x**3 - 2*x**2 - 3*x - 2. What is the least common multiple of l(-4) and j(-1)?
30
Let c(s) = -s**2 + 4*s + 1. Let z(x) = x**2 - 7*x - 4. Let l be z(8). Calculate the smallest common multiple of 7 and c(l).
7
Let i(o) be the second derivative of -1/12*o**4 - o + 0 + o**3 - 1/2*o**2. What is the least common multiple of 5 and i(4)?
35
What is the smallest common multiple of (-1)/(-2)*(-1 + 17) and 12?
24
Let l(p) = p**2 + 12*p + 6. Let a be l(-12). What is the common denominator of 11/a - (-10)/(-50) and -107/18?
90
Suppose 2*z + 5*f = 20, 4*f - 42 = -4*z - 2. Suppose 4*a = -3*r + 17, -5*r + 2*a + 9 