the lowest common multiple of 25 + (-2 - (-3 - i)) and 20.
220
Let f = 707158913/840 + -841856. What is the common denominator of -29/16 and f?
1680
Let f = -1373/696 + 85/29. Find the common denominator of -115/384 and f.
384
Let i = 17 + -21. Let l be 1588/(-5) - i/(-10). Calculate the common denominator of (10/(-15))/(40/l) and 46/3.
30
Let c(j) = j**2 - 45*j - 16. Let z be c(13). Calculate the common denominator of 2 + (2/(-9) - (-1983)/z) and -27/8.
16
Let p(o) = 3*o + 5. Let x be p(2). What is the common denominator of -4*1/(-36)*x and -50/3?
9
Let r = -253/144 + 13/9. Calculate the common denominator of 2 + (-237)/(-66) - (1 + 3) and r.
176
Let o = -23689/6224 - 5/778. Calculate the common denominator of -63/32 and o.
32
Let z = -5641/6 - -937. Find the common denominator of 31/16 and z.
48
Suppose 2*d + 68 = 3*t, -13*t - 2*d + 124 = -8*t. Calculate the smallest common multiple of 57 and t.
456
Suppose 9420 = -11*x + 7*x. Let l be (-822)/56*1446/(-9). Let p = l + x. Find the common denominator of 93/8 and p.
56
Let b = 641 - 629. Find the common denominator of b and 3/149.
149
Let l = -6415/3 - -8515/4. Find the common denominator of l and 67/334.
2004
Suppose -2*l = -5*l + 12. What is the common denominator of 2/(-40)*190/l and -73/10?
40
Let u = 154884 - 1711727/11. Let m = u + 727. What is the common denominator of -43/7 and m?
77
Let p be (-8)/(-12) - 3691/5496. Let r = p + 22523/16488. Calculate the common denominator of 39/32 and r.
288
Let x(a) = -2*a**2 - 6*a - 7. Let t be x(-2). Let h(k) = k**2 + k - 1. Calculate the lowest common multiple of h(t) and 44.
220
Let v = -6519/8 + 809. Let o = 454667/22 + -20671. What is the common denominator of v and o?
88
Suppose -27 = -5*b - 2. Suppose -4*n + b*s = -76, 3*n - 2*s + 19 = 4*n. Let r = n + 13. What is the smallest common multiple of r and 14?
224
Suppose -10 = -3*v + v. Let j = 5 - -6. Suppose -j + 25 = 2*b. Calculate the least common multiple of b and v.
35
Let k = -2607/19 - -257025/1862. What is the common denominator of k and -69/14?
98
Let p = -5 - -8. Let u(z) = z**3 + 11*z**2 - 4*z + 23. Let q be u(-11). Let s = q + -61. What is the smallest common multiple of s and p?
6
Let i be -1 + (3 - 579671/41110). Let k = 2/4111 + i. Find the common denominator of k and (-8)/12 + (-278)/(-192).
160
Let s = 4/2313 + -196621/9252. Let i = 5470 - 65779/12. What is the common denominator of s and i?
12
Calculate the common denominator of 1068/40*(-16)/(-96) and 17/72.
360
Let s(l) = -l**2 + 5*l + 4. Let q(k) = -2*k - 7. Let a be q(-6). Let y = -27453/8 - -3424. Calculate the common denominator of s(a) and y.
8
What is the lowest common multiple of (10 - 6)*(16 + -1) and 66?
660
Let r = 43 + -35. Suppose 0 = h + 4*s - r, 8*s - 70 = -5*h + 3*s. What is the lowest common multiple of h and 22?
176
Let v be 44/10 + 12/(-30). Suppose -2*n + v = t - 6, 25 = 5*n - t. What is the least common multiple of n and 1?
5
Suppose 20 + 7 = -3*k. Let g(v) = v**3 - 22*v**2 - 3*v + 76. Calculate the least common multiple of (k + -1 - 1)*-1 and g(22).
110
Let x be ((-95)/(-8))/((-1)/(-8)*-6). Let q = -817/54 - x. What is the common denominator of q and 35/4?
108
Suppose -4*s = -26 + 30. Let q = -354911/28 - -12678. What is the common denominator of q and (-395)/(-10)*s - -2?
28
Suppose 1842 + 10047 = 3*k. Let o = k - 27798/7. Find the common denominator of -50/11 and o.
77
Let l = 35 + -32. Suppose 4*m + 40 = l*p, 2*p + m - 38 = -15. What is the least common multiple of 24 and p?
24
Let n(a) = a - 7. Let i(o) = 2*o**2 + o + 4. Let h be i(-2). Let z = h + -15. Calculate the common denominator of n(z) and 26/11.
11
Let m = -41 + 61. Suppose z - 2*z - 2*k = -40, -5*k + 145 = 4*z. Suppose z = -4*r + 9*r. Calculate the lowest common multiple of m and r.
60
Suppose 3*f + 6 + 27 = -3*v, -3*f + 44 = -4*v. Let z be (-1)/3 + 26627/(-12). Let u = 2243 + z. What is the common denominator of u and v?
4
Let i = -2211029/821814 - 1/19567. What is the common denominator of i and 107/154?
462
Let k(i) = i**3 + 8*i**2 + 7*i + 7. Suppose 22 = -5*w - 13. Suppose 2*a + 0 = -2*s + 2, 2*s = -3*a - 3. What is the least common multiple of k(w) and s?
42
Let v = -635/24 - -227/8. Calculate the common denominator of ((-165)/36)/((-15)/10) and v.
36
What is the common denominator of (2 - 246/126)*69/6 and 127/18?
126
Suppose -5*c = -c - 4*x + 8, -3*c - 2*x = -14. Calculate the smallest common multiple of 13 and (-2)/((-1 + c)*2/(-10)).
130
Let v = 62732/5 + -12550. What is the common denominator of 98/54 - (1 - 1) and v?
135
Let i = 728 + -618. What is the least common multiple of 30 and i?
330
Find the common denominator of 154/(-300) - (-15)/(-30) and 16/15.
75
Let u be 8/(-12) + (-22)/(-6). Let b(o) = -o**3 - 16*o**2 + 35*o - 15. Let v be b(-18). Suppose -u = -v*m + 81. Calculate the least common multiple of 20 and m.
140
What is the common denominator of ((-558)/500)/(4*(-33)/110) and 77/80?
400
Suppose c + 40 = -4*c + 4*j, -2*c = -j + 16. Find the common denominator of (20/15)/2 - 58/(-4) and (18/8)/(14/c).
42
Find the common denominator of (-124)/(-2)*51/(-952) and (((-45)/(-24))/5)/(11/74).
308
Suppose l = 6*u - 2*u + 10, 5*u = -l + 10. Suppose -10 + 0 = -l*q. Calculate the least common multiple of 2 and q.
2
Let j(l) = 130*l**3 - 3*l**2 + 4*l - 1. Suppose 0 = -4*c + 8. Let y be j(c). Let p = -5212/5 + y. Calculate the common denominator of p and 43/6.
30
Let v = -6 + 42. Suppose -5*x = -2*x - v. Suppose 6*s = 3*s + x. What is the lowest common multiple of 14 and s?
28
Suppose -5*i + 55 = 5*h, -2*h = -5*i - 4*h + 46. What is the common denominator of 35/4 and (87/56)/(2/i)?
28
Suppose 0 = -4*x + 5*d - 36, -x = -0*d - d + 8. What is the smallest common multiple of 36 and ((-5)/(-4))/(x/(-32))?
180
Let g = -1335487 - -1543823073/1156. Calculate the common denominator of -26/9 and g.
10404
Let y(o) = -o + 16. Let f be y(14). Let x = -9 - -9. Let i = x + f. What is the smallest common multiple of i and 22?
22
Let m = -10 + 16. Suppose 6 = c + 2. What is the smallest common multiple of 13/52*(c - 0) and m?
6
Find the common denominator of 7/18 and 1785/270 + -5 + 2.
18
Calculate the common denominator of -103/72 and (-13)/(-72) + 6 + (-140)/24.
72
Let x = 34 - -478. Let z = -317 + 1601/5. What is the common denominator of z and x/(-132) - (-4)/(-6)?
55
Let w = 1249 + -12553/10. Find the common denominator of w and -47/7.
70
Let z = 97 + -20. Calculate the least common multiple of 66 and z.
462
Suppose 3*b + 3*u + 19 = 4*b, 22 = 3*b - 2*u. Calculate the least common multiple of 12 and -1*(-10 - (1 - b)).
84
Let u = 134 + -130. Calculate the least common multiple of u and 4/(-3)*(-6)/4.
4
Let j(i) = 2*i + 5. Let x be j(-1). Suppose 2*k + x*u = 7*u + 12, 0 = -2*k - 2*u. Calculate the lowest common multiple of k and 8.
8
Let z be (56857/12)/(390/(-18)). Let f = z - -2889/13. Calculate the common denominator of -31/6 and f.
60
Let r = -21271/1034 - -828/47. Find the common denominator of 137/560 and r.
6160
Suppose -2*y + h - 11 + 17 = 0, -2*y - 3*h = 10. What is the smallest common multiple of y and 47?
47
Let p(l) = 11*l - 144. What is the smallest common multiple of p(14) and 36?
180
Suppose -2*j - 4*i + 38 = 0, -6 = -2*j - 3*i + 37. Let k = j - 20. What is the least common multiple of k and 6?
18
Let v(i) be the third derivative of -i**6/120 - i**5/15 - i**4/24 + 5*i**3/6 + 10*i**2. Calculate the smallest common multiple of 14 and v(-4).
126
Calculate the common denominator of 3/9 + (-98)/33 and (-1)/(-2)*1 + 4/6.
66
Suppose -z - 5*n + 200 = 0, -n = -5*z + 606 + 420. What is the least common multiple of 18 and 7*1 + z/(-41)?
18
Suppose 5*h - 5*c - 925 = 0, 6*h - 2*h = -5*c + 695. What is the least common multiple of h and 35?
1260
Let k = 11 + -3. Let q = 11 - k. Suppose 2*j + 4*b - 22 = 0, 0 = 5*j + 3*b - 2*b - 55. What is the lowest common multiple of j and q?
33
Suppose 16*h - 87 + 23 = 0. What is the lowest common multiple of 32 and h?
32
Let r(u) = -4*u - 2. Let o be r(-3). Suppose -3*s = -o*s + 406. What is the smallest common multiple of s and 0 - (2*4)/(-1)?
232
Let b = -6366 - -203639/32. Calculate the common denominator of -95/72 and b.
288
Suppose 4*m + 0*k = 3*k + 277, 0 = 2*m + 4*k - 144. Let p = -631/5 + 7247/60. Wh