. Calculate the common denominator of (-1)/(-1) + (-105)/(-48) and k.
16
Let a be (97 - -1)/(21 + -19). Let y = a - 32. What is the least common multiple of y and 4?
68
Let d(x) = -4*x**2 + 3*x - 10. Let y be d(-7). Let u = -41056 - -165121/4. Let v = u + y. Find the common denominator of v and -3/4.
4
Let l = 3/239 - 1688/1195. Let r be (-1)/2 - (-11559)/18. Let m = 15577/24 - r. Find the common denominator of m and l.
40
Suppose -3*b = b, 884 = -j + 5*b. What is the lowest common multiple of j/(-91) - 2/(-7) and 0 - 1*(-3 + -8)?
110
Let i(f) = 23*f - 3. Calculate the least common multiple of 16 and i(1).
80
Calculate the lowest common multiple of 22/(-11) - (-12)/2 and 20.
20
Let z be (-349834)/48 - (-3 + 1). Let p = 7288 + z. Find the common denominator of -77/8 and p.
24
Suppose -3*h + 304 = -4*x - 104, -4*x = 0. Calculate the least common multiple of 48 and h.
816
Let f = 284/15 + -6437/420. Find the common denominator of 83/20 and f.
140
Let l = 119 + -79. Suppose 0*s - 5*s + l = 0. What is the lowest common multiple of s and 6?
24
Let h(o) be the first derivative of -o**3/3 + o**2/2 + 4*o - 4. Let u be h(0). What is the smallest common multiple of 3 and 9 + (u - (3 - 0))?
30
Suppose -4*b + 300 = -2*p, p + 2*p - 310 = -4*b. Suppose -b = 17*l - 314. What is the lowest common multiple of l and 22?
154
Let s = 28 + -14. Suppose -r + 2 = 2*t, t = 2*t - 4*r - 19. Suppose u = 2*d - 2, 0 = t*d + d - 5*u + 2. What is the smallest common multiple of d and s?
14
Suppose 0*i - 8 = -i. Let l(p) = 47*p**2 + p - 2. What is the lowest common multiple of l(1) and i?
184
Let x be 2/(-3)*3/(-2). Let c = 881 - 879. What is the least common multiple of x/(-2)*(-14 + 0) and c?
14
Let c = -837 - -861. What is the lowest common multiple of 132 and c?
264
Let v = -449 + 1318. Suppose 0 = -21*f + v - 176. Find the common denominator of 17/6 and f.
6
Let i = -34373/12 - -2868. Let n be (-1537)/(-12)*(-9 + 18). Let a = n + -1162. What is the common denominator of a and i?
12
Let v be 7550/(-40)*17/2. Let b = v - -1609. Find the common denominator of -37/52 and b.
104
Let a = 2255/234 - 126/13. Let y = a - -67/18. Let g = 1594 - 4826/3. Calculate the common denominator of g and y.
3
Calculate the common denominator of 53/33 and (-6)/((-216)/28)*6/23.
759
Suppose 84 = 2*g - 2*u, -g + 60 = -5*u + 6. Suppose -2*k = 2*z - 62, -z + k + g = 4*k. What is the smallest common multiple of 21 and z?
189
Let z(x) = x**3 + 12*x**2 - 2*x - 25. Let o be z(-12). Calculate the common denominator of 23/12 - (-1 + -1) and (-33 + 8/4)*o/(-14).
84
Let t = -2 - -4. Suppose -8 = t*o - 40. What is the lowest common multiple of (-24)/(-5)*15/240*40 and o?
48
What is the smallest common multiple of 64 and (-1904)/34*(-5 + 3 - -1)?
448
Let u = -47347 - -3124843/66. Calculate the common denominator of u and 68/15.
330
Suppose 4*x + 0*x = 4*i - 8, 5*i - x = 10. What is the common denominator of -125/12 and (-63 + i)*(-1)/6?
12
Let j = 218997/16 - 13683. Find the common denominator of j and (-490)/96 - 2/(-3).
16
Let o = -5 - -5. Suppose 3*n + 2*n - 70 = o. Let w = 9 - 7. What is the least common multiple of n and w?
14
Suppose 0 = -8*q + 36 - 124. Let m = 17 + q. Calculate the lowest common multiple of 20 and m.
60
Suppose 205 - 55 = 6*n. Suppose -n = -5*g, -2*g = -6*s + 3*s + 5. What is the smallest common multiple of 14 and s?
70
Let v(t) = -t**3 + 5*t**2 + 6*t - 2. Let r be v(6). Let p(m) = m**3 + 2*m**2 - 1. Let i be p(r). What is the lowest common multiple of 3 and (i/4)/(1/(-4))?
3
Suppose 0 = 2*n + 4*c - 8, 5*c - 1 = -6. Suppose -2*f = 9 - 45. Calculate the smallest common multiple of f and n.
18
Let n(i) = -i**3 + 10*i**2 - 9*i + 4. Let z be n(9). What is the common denominator of (-2*(-1)/(-4))/(10/(-246)) and z/((-264)/27)*-1?
110
Let j(l) = -l + 2. Suppose 2*w + w = 3. Suppose 15 = -m - 4*a, -2*m - 3*a - 11 + w = 0. Calculate the least common multiple of m and j(-6).
8
Let k = 60 + -86. Calculate the common denominator of (-8)/(-20) - 223/(-30) and k.
6
Let t(m) = 2*m**2 + 23*m + 100. What is the least common multiple of 36 and t(-8)?
396
Let a(m) = 4*m - 27. Let g be a(7). What is the common denominator of 3/6*10/8 and (-210)/24 + (0 - 2 - g)?
8
Suppose g - 3*g = -16. What is the smallest common multiple of 22 and (1 - (-3 - -3))*(118 - g)?
110
Let w(k) = k**2 - 8*k + 2. Let b be w(8). Suppose 5*d + 3*j = 7, 6*d + 12 = 2*d + 2*j. Calculate the smallest common multiple of d/(-2) - (-7)/b and 2.
4
Suppose -4*r = 2*o - 14, 2 = r + 7*o - 8*o. Suppose -36 + 12 = -r*z. What is the least common multiple of 22 and z?
88
Let n(g) be the third derivative of -5*g**4/24 - 2*g**3/3 + g**2. Let j = -22 + 33. Calculate the least common multiple of n(-3) and j.
11
Let j(y) = -y**3 - 17*y**2 - 13*y + 16. Let c be j(-16). What is the common denominator of 113/12 and (-1 - 1) + 584/c?
12
Suppose -7 = -4*v - 4*j + 1, 4*j + 4 = 2*v. Suppose -q = 5*d + v*q + 13, 5*d + 6 = 4*q. What is the least common multiple of 7 and -15*d/20*6?
63
Let r(f) = 4*f - f + 0 + f**2 + 4. What is the lowest common multiple of 3/((-2)/(48/(-9))) and r(-5)?
56
Suppose 0 = 2*g - 3*l - 47, 3 = g + 5*l - 14. Let w(s) = -95*s + 975. Calculate the least common multiple of g and w(9).
1320
What is the smallest common multiple of 184 and 1*166 + 75/(-15)?
1288
Let h(r) = -r**2 + 21*r - 44. Let q be h(19). Find the common denominator of q/10 - 462/240 and 55/4.
40
Find the common denominator of 39/44 and (-35)/16*(-6 + 4).
88
Find the common denominator of 17499/(-4383) + -3 + 10 + -3 and 5/8.
11688
Let q = -450 + 456. Suppose -n + 3 = -0. Calculate the least common multiple of q and n.
6
Let i(n) = 2*n**3 + 10*n**3 + 10*n**3. What is the lowest common multiple of 6 and i(1)?
66
Suppose 0 = -2*s - 5*a + 87 + 67, -4*s + 4*a = -308. Calculate the lowest common multiple of 35 and s.
385
Suppose -2*n - 6 = 0, -2*u + 2*n + 19 = 3. Suppose -94 = -3*w - 4*p + 6*p, -2*w + 50 = u*p. What is the common denominator of 563/w + (-2)/(-5) and 57/16?
48
Let z be 46*2/(-5)*(-35)/14. Suppose -2*g = 2*g - 3*a - z, -2*g + 4*a = -28. Calculate the smallest common multiple of 11 and g.
110
Suppose o = 5*c + 68, -4*c + 21 - 76 = -o. Let f = -23 - c. Let s(y) = y + 15. Calculate the lowest common multiple of 11 and s(f).
55
Let t(x) = 376*x**2 - x + 1. Let q be t(-2). Let z = q - 2959/2. What is the common denominator of z and (-156)/28 - (2 + 0)?
14
Let x = -16 - -18. Suppose 2*r = -x, 4*c - r - 8 = 5. Suppose 5*z - 17 = 28. Calculate the least common multiple of c and z.
9
Let j = 39/371 - -29037/9646. Find the common denominator of -57/10 and j.
130
Let f = 4 + -1. Suppose 2*l - f*l + 8 = 0. Let q(k) = -k**3 - 4*k**2 + 4*k - 3. Calculate the smallest common multiple of l and q(-5).
8
Suppose -3*i + 2*y = -77 - 27, 5*i - 4*y - 176 = 0. Let o = i + -2. What is the lowest common multiple of 12 and o?
60
Suppose -10 = -3*i + 2. Let u be 12/4 - 1 - 0. Suppose u*n - 22 = -3*p, 3*p - 17 = -n - 0. What is the lowest common multiple of i and p?
4
Let g = -106 + 120. Let d = 35 - 21. Calculate the smallest common multiple of d and g.
14
What is the lowest common multiple of 85 and (3 + (4732/8)/(-13))*-4?
170
Calculate the common denominator of 144/70 - (-336)/420 and 43/964.
6748
Let l be (-455)/28 - 1/(-4). Let x = l + 11. Let k = -3 - x. Calculate the smallest common multiple of k and 10.
10
Let k = 89193767/394 - 226380. Calculate the common denominator of k and 9/8.
1576
Suppose 5*s + 2*n = 22, n - 14 = -3*s - 0*n. Let t be 40/15*s/4. Suppose -t*k - k + 15 = 0. What is the least common multiple of k and 3?
3
Calculate the common denominator of -113/36 and 513/972 + (-3)/(-1).
36
Suppose 26 = r + 4*o, -6*r - 2*o = -4*r - 40. Calculate the least common multiple of r and 45.
90
Suppose -2*y = -0*y - 22. Suppose 0 = 2*z - 3*g + y - 62, z = -4*g + 42. Suppose -6*l + z = -3*l. What is the smallest common multiple of 6 and l?
30
Let p(n) = -n**3 + 5*n**2 - 5. Let q be p(5). Let a(z) = z**2 + 4*z - 2. Let f be a(q). Suppose 4*k = f*k - 48. What is the common denominator of k and 47/4?
4
Let f(n) = -3*n - 11. Let g(d) = 4*d**2 - 1. Let q be g(-1). Suppose q*t = 2*t + 4*c + 2, 3*t = -2*c + 62. What is the least common multiple of f(-11) and t?
198
Let w be 21187 