. Let v = -97 - -105. Calculate the least common multiple of r and v.
8
Let g = 312523/22 + -14209. Find the common denominator of g and (-2)/3 - 326/(-12).
22
Let h be (3 + -2)/(2/(-2)). Calculate the least common multiple of (-100)/(-6) - (-24)/18 and 2*h + 24/1.
198
Let s(u) = -u**3 + 7*u**2 + 9*u + 1. Let p be s(8). Let c be (6/2)/(p/(-6)). Calculate the common denominator of -31/20 and 70/(-32) + c/8.
80
Let f be (0 + -1)*(7 + -5). What is the common denominator of 107/28 and 26/44 - 4/f?
308
Let k = -6 + -4. Calculate the common denominator of ((-2)/16)/((-2)/118) and 87/k*(-3)/(-9).
40
Let b(g) = 94 + 5*g - 2*g**3 - 6*g + g**3. Let l be b(0). What is the common denominator of 89/12 and l/(-4)*1/(-8)?
48
What is the lowest common multiple of ((-11)/(-5))/(1/5) and 7?
77
Let v = 106713 - 850417/8. Let d = 416 - v. What is the common denominator of d and -71/3?
24
Let z = -8 - -9. Let a(n) = 5*n**3 + n - 1. What is the lowest common multiple of a(z) and 3?
15
Let j(f) = f**3 + 10*f**2 - 2*f - 10. Calculate the smallest common multiple of 14 and j(-10).
70
Let k(u) = u**3 + 4*u**2 + 2*u. Let d be k(-4). Calculate the common denominator of (8/12)/(8/390) and (d/66)/(12/54).
22
Calculate the common denominator of 73/6 and (3 - 286/30)*(-18)/(-48).
60
Find the common denominator of 68/27 and (((-1)/36)/1)/(1/214).
54
Suppose 5*u + 37 + 8 = 0. Let w = 3 - u. Calculate the smallest common multiple of 2 and 2/(-6) + 76/w.
6
Let s = 12 - 9. Suppose -7*j = -s*j - 20. What is the lowest common multiple of 1 and j?
5
Let p(w) = w**3 + 6*w**2 - 4*w + 6. Let q be p(-5). Let r = -414/61 - -14319/1220. Calculate the common denominator of 0/2 - q/(-4) and r.
20
Suppose 11*d = 6*d + 45. Suppose -2*j - 8 = -28. What is the least common multiple of d and j?
90
Let z = 109859/30 - 18332/5. Calculate the common denominator of z and -13/36.
180
Suppose -18*a = -6*a - 48. Suppose 0 = 3*l - 2*l - 5. Calculate the least common multiple of l and a.
20
Suppose 4*z - 12 + 0 = 0. Calculate the lowest common multiple of 11 and z.
33
Let y = 335/68 - 3/17. Let q = 29271/350 + -9317/75. Let b = -304/7 - q. What is the common denominator of y and b?
12
Let d be ((2*27)/3)/1. What is the lowest common multiple of 4 and d*((-1 - 0) + 2)?
36
Let k(t) = t**2 - 9*t - 5. Let h be k(10). Let l = 7 + h. What is the least common multiple of 14 and l?
84
Let t be 66 - -6*1/2. Calculate the least common multiple of 10 and t/15 - (-2)/5.
10
Let m be (-2 - -3)/((-1)/(-8)). Let x(q) = -m*q - q**2 - 6 - q + q. Calculate the least common multiple of x(-4) and 7.
70
Suppose 0 = z - 3*h - 2 - 0, 3*z - 3*h = 18. What is the lowest common multiple of z and -3*(-2)/(-3) + 22?
40
Suppose -659 - 478 = -3*l. Let b = l + -2679/7. Calculate the common denominator of -18/11 and b.
77
Suppose -5*d = -0 - 10. Suppose 12 = 5*q - d*q. Calculate the smallest common multiple of (0/(-1) - -1)*14 and q.
28
Find the common denominator of 1554/60 - 2/5 and (-25)/(-40)*(-38)/(-25).
20
Let j(i) = -3 - 13*i - 4 + 0. Let p be j(-7). Calculate the lowest common multiple of p/8 - (-1)/2 and 1.
11
Let q(d) = -d**3 + 3*d**2 + 8*d. Calculate the lowest common multiple of 2 and q(4).
16
Suppose 88 = 5*c - c. Calculate the least common multiple of 22 and c.
22
Let b(a) = -2*a + 14. What is the least common multiple of b(0) and 8?
56
Let r(p) = 4*p**2 + 4*p + 3. Let w(a) = -a**3 - 2*a**2 + 5*a - 2. What is the lowest common multiple of r(-2) and w(-4)?
110
Let u = -3615 - -39709/11. Calculate the common denominator of u and -16.
11
Let d = -38784/10205 + 1/2041. What is the common denominator of 102/(-8)*(-2)/9 and d?
30
Suppose -6362 - 3997 = 3*a. Let v = -37945/11 - a. Calculate the common denominator of v and -87/2.
22
Let i = 15 + 1. What is the least common multiple of i and 4?
16
Let c(b) = -b**3 - 4*b**2 - 2*b + 4. Let h be c(-3). Suppose -4*z - h = -3*z. Calculate the least common multiple of 6 and z/2 - (-9)/6.
6
Suppose -2*w + 5 + 5 = 0. What is the lowest common multiple of (-1 + 8)/(2/2) and w?
35
Let o(b) = -2*b + 32. Calculate the least common multiple of 10 and o(-14).
60
Suppose 5*y = y - 4. Let k be -1*0*(y + 2). Suppose -36 = -2*j - k*j. What is the smallest common multiple of j and 14?
126
Suppose -2*u = -4*j - 62, -4*u + 3*j + j = -116. Let m = -5 + u. Suppose -2 = t - m. Calculate the least common multiple of t and 10.
20
Suppose 2*w = 48 - 24. What is the smallest common multiple of w and 16?
48
Suppose d - 6*h + 4*h = 20, -3*d = -5*h - 60. Let a = -19 + 2. Let r = 29 + a. Calculate the smallest common multiple of r and d.
60
Calculate the common denominator of (712/(-64))/((-4)/8) and ((-1)/(-10))/((-2)/88).
20
Calculate the common denominator of -21/55 and (-5)/((-675)/(-123)) - 1.
495
Calculate the common denominator of (-1)/5 + 65/(-15) and 145/24.
120
Let k = 17644/9 - 1955. Calculate the common denominator of k and 67/18.
18
Suppose 30 + 6 = 3*w. What is the least common multiple of w and 16?
48
What is the smallest common multiple of 6 and ((-7)/(-4) + -2)*-12?
6
Suppose 4*q - 8 = 0, -3*d = q + 2*q. What is the common denominator of 2/6*(d - -3) and (12/63)/((-2)/66)?
21
What is the common denominator of -1 + (-64)/(-9) - (-8)/(-36) and 39/14?
126
What is the common denominator of -19/24 and (6/(-5))/(1/((-12)/16))?
120
Let o = -28994903/92 - -315125. Let l = -408/23 - o. What is the common denominator of -2*(413/77 - 5) and l?
44
What is the least common multiple of (26 + 0)*(-36)/(-24) and 6?
78
Let q be (-12 + 6)/((-13)/(-42)). Let u = 2169/130 + q. What is the common denominator of u and 49/2?
10
What is the common denominator of -61/8 and (-2)/(-5)*582/48?
40
Let w = -508 + 3023/6. What is the common denominator of w and 57/8?
24
Let p = -1 + 5. What is the common denominator of (p - 3) + (-115)/(-6) and -19/10?
30
Let d(j) = 2*j + 24. Calculate the least common multiple of 9 and d(-10).
36
Calculate the common denominator of (-8)/6*180/25 and 11/6.
30
Suppose 0 = t - 2*t + 4. Find the common denominator of -19/8 and (-14)/8 + 1/t.
8
Let b = 420912618331/321273046380 - -2/112333233. Let q = -20/143 - b. Find the common denominator of q and 1 + ((-77)/8 - 0).
40
Suppose -3*a + 75 = -2*b, -3*a + 3*b = -35 - 43. Let f = a - 16. What is the lowest common multiple of 9 and f?
63
Suppose 0*y = 5*y - 60. Let s = y + 10. What is the least common multiple of 2 and s?
22
Let i be 3/(((-45)/24)/(-5)). Let u(d) = 2*d - 9. What is the least common multiple of u(i) and 2?
14
Calculate the least common multiple of 6 and -4 + (4 - (-84)/4).
42
Let r = 4 + -12. Calculate the common denominator of (-3)/r*994/21 and -7/6.
12
Suppose 3*k + 4*x = 8*k - 130, -k + 5*x + 5 = 0. What is the lowest common multiple of k and 30?
30
Suppose 3*z + d = 34, 0 = -z + 3*d + 2*d - 10. Let w = 4 - -1. Let j = z - w. Calculate the least common multiple of 7 and j.
35
Let o = -3 + 25. Let v(q) = -6*q + 4 - 5*q**2 - 2*q**3 + 0*q + 3*q**3. What is the least common multiple of v(6) and o?
44
Let t(b) = b**3 - 7*b**2 + 6*b - 3. Let y be t(6). Let f(k) = k**2 - 2*k + 3. Let c be f(3). Calculate the lowest common multiple of (-20)/c*y/1 and 8.
40
Let i(v) = -v**3 - 8*v**2 - 7*v - 3. Let n be i(-8). Let z = n - 17. Suppose 4*l = 5*t - 42, 2*l + z = 5*t - 0*t. What is the least common multiple of 3 and t?
6
Let w(i) = -i**3 + 7*i**2 + 10*i + 2. Let f(t) = -t + 1. Let v(a) = -4*f(a) - w(a). Calculate the smallest common multiple of v(8) and 1.
10
Let c = 9 + -8. Find the common denominator of -49*3*c/54 and -5/18.
18
Let r = -23 - -42. Let i = r - 11. What is the least common multiple of 18 and i?
72
Let i be (-146)/(-6) + 6/9. Let v = i - 58. Find the common denominator of 2 + 54/(-1) - -2 and v.
1
Let s = 45794637/160 - 2754207/10. Let b = 10797 - s. What is the common denominator of b and -43/8?
32
Suppose h - 3*x - 2 = 6, 5*h + 5*x = 40. Calculate the smallest common multiple of 44 and h.
88
Let y = 18 - 9. Let a(x) = -x**3 + 8*x**2 + 9*x + 7. Calculate the smallest common multiple of a(y) and 3.
21
Find the common denominator of 73/21 and 1 - 2 - 206/(-66).
231
Let y(w) = -w**3 + 6*w**2 - 5*w - 4. Let f be 4/26 - 48/(-26). Suppose f*t - 14 = -j, -27 = -5*j + 2*j - t. What is the lowest common multiple of y(4) and j?
8
What