 f = 376 - 2979/8. Calculate the common denominator of (n/36)/(-19) + 209/(-24) and f.
8
Let x = -1646/5 + 11817/35. Let k = 1814939750185 - 258258666694050083/142296. Let d = -2/17787 + k. Find the common denominator of x and d.
56
Suppose -5*l + 62 = 4*o, -5*l + 61 - 17 = -2*o. What is the smallest common multiple of l and 28?
140
Let t(v) = 22 - 7*v + 2*v**3 + 19 - 8 + 9*v**2 - v**3. Let n = -28 - -39. What is the lowest common multiple of n and t(-10)?
33
Let n be 49/35 - 3/(-5). What is the common denominator of 37/14 and n + 33/54*-13?
126
Let v be (2/1)/2 + 1. Suppose -v + 8 = 3*c. Suppose -14 = -c*f + 6. Calculate the least common multiple of f and 12.
60
Let k(d) = -d - 3. Let m = -646 - -654. What is the lowest common multiple of m and k(-6)?
24
Suppose 4*m + 32 = -5*h + 2*m, -24 = 5*h + 4*m. What is the lowest common multiple of 30/h*72/27*-2 and 24?
120
Let z be 11/(-2) + 33/22. What is the lowest common multiple of 1 and ((-224)/(-42))/(z/(-6))?
8
Let z = -77495/14 + 5533. Let g = 273133/110 - 12434/5. Find the common denominator of g and z.
154
Suppose 5*w = 76 - 56. Suppose 5*h = 36 + 19. What is the smallest common multiple of w and h?
44
Let d = -13/300 - -287/1950. Calculate the common denominator of 77/12 and d.
780
Let b = -22 - -6. Let t = b - -34. Calculate the least common multiple of t and 4.
36
Suppose 4*h - 20 = -l, 2*l - 84 = -h - 9. What is the least common multiple of 120 and l?
120
Let y = -71 + 77. Calculate the lowest common multiple of 105/5 + -4 + 1 and y.
18
Let o = 18752279/6 - 3118627. Let h = 6774 - o. What is the common denominator of h and (-2)/(-8)*18/(-4)?
24
Suppose -4 - 15 = -3*f - g, -2*g - 7 = -3*f. Suppose -h + f - 4 = -5*d, h - 33 = -3*d. What is the least common multiple of h and 27?
189
Let v = 82497/64120 + -284/229. Find the common denominator of v and -109/12.
840
What is the smallest common multiple of (-117)/(-36) + -4 - (-51)/4 and 15?
60
Let i(q) = 7*q**2 - 32*q + 24. Let n(u) = 6*u**2 - 31*u + 25. Let f(j) = -4*i(j) + 5*n(j). Calculate the least common multiple of 24 and f(13).
48
Let i = 111597 - 24551409/220. Calculate the common denominator of i and -5/18.
1980
Suppose 6*t + 40 = 10*t. Calculate the smallest common multiple of 20 and t.
20
Let v = 56951/9810 + -38/981. Find the common denominator of v and -53/5.
30
Let n(o) = o + 24. Let g = -26 - -20. What is the least common multiple of 14 and n(g)?
126
Let k = 6974 + -4806. Let f = -8597/4 + k. Let w = 33/26 + -469/52. Calculate the common denominator of w and f.
4
Suppose -14*x + 152 = 5*x. What is the least common multiple of x and 60?
120
Let j(a) = -a**2 - 31*a - 124. What is the least common multiple of 28 and j(-22)?
1036
Let k = -512524/195699 + -1/9319. Let i = -919/6 - -745/2. Let w = i - 211. Find the common denominator of k and w.
21
Let u be 15/20 + 182/(-8). Calculate the common denominator of 151/12 and (-3980)/495 - (-4)/u.
36
Let z = 22 + -21. Calculate the common denominator of 75/28 and (z/(-4))/(1072/356 - 3).
28
Let s = -11 - -13. Suppose s*n + m + 2*m = 31, -3*n - 2*m = -34. Calculate the lowest common multiple of n and ((-20)/(-50) + 5)/(6/20).
72
Let d = 54348 + -61848019/1138. Let z = 36139/1707 - d. Let c = 2/2299 + 314939/27588. Calculate the common denominator of z and c.
12
Let r = 27896 - 3235975/116. What is the common denominator of 237/36 - 24*(-5)/80 and r?
348
Calculate the common denominator of 1/336 and 6/27 + 1446/(-2376).
3696
Suppose 0 = 3*t + 2*h + 10, 0*t + 3*t - 4*h - 2 = 0. Calculate the common denominator of (-1)/t*-4 - (-77)/(-20) and ((-2)/6)/(40/(-282)).
20
Let l = -6629 + 218806/33. Find the common denominator of ((-2)/(-36))/(444/147 - 3) and l.
198
Let t(c) = 105*c**2 - 6*c - 12. Let j be 6/(-14) + (-96)/21. Let g be t(j). Let s = -42321/16 + g. Calculate the common denominator of -117/10 and s.
80
Let v(z) = -z**3 - 3*z**2 - 3*z - 3. Let y = 6 + -12. What is the lowest common multiple of ((-6)/(-8))/(y/(-48)) and v(-3)?
6
What is the common denominator of 2*((0 - (-565)/(-80)) + 3) and 17/6?
24
Let n be (-1898)/(-150) + (-12)/42. Let g = n - 6/175. Suppose -6*h = -2*h + 160. What is the common denominator of g and h?
3
Let m = -82 - -80. Let j(w) = 6*w + 6. Let z be j(-4). Let p = m - z. What is the smallest common multiple of p and 18?
144
What is the common denominator of (10/9)/((-24)/450) and ((-4)/24)/(9/2)?
54
Suppose -9*h - 96 = 7*h. Find the common denominator of h/(-10)*147/(-9) and -69/10.
10
Suppose -21 = -p - 10. Suppose -p*h + 7*h = -20. Suppose -14 - 6 = -h*b. What is the smallest common multiple of b and 4?
4
Suppose -140*l + 14628 = -117*l. Calculate the smallest common multiple of 4 and l.
636
Let p(x) = 2*x**2 + 3*x + 3. Suppose -h - 2*h = -153. Suppose w + 25 = 3*u, -w + 6 - h = -5*u. Calculate the lowest common multiple of p(-2) and u.
10
Suppose -5*u = -9*u. Suppose -q = j - u*q - 9, -q = 3*j - 21. Calculate the smallest common multiple of 16 + -1 + (-3)/(-1) and j.
18
Let g = -2436 - -3689. Let w = -18782/15 + g. What is the common denominator of w and 79/6?
30
Suppose -4*p = -0*p - 80. What is the least common multiple of 126/8 - ((-28)/(-16) + -2) and p?
80
Let p = -3023 - -3028. Calculate the smallest common multiple of p and 35.
35
Suppose -2*i + 0*v = -4*v + 8, 0 = 3*i - 3*v - 3. What is the common denominator of (-5)/50*57/i and (-2 - -4)/(12/237)?
20
Suppose 0 = 3*z + 3*c - 6*c + 9, 3 = 4*z - c. Suppose 52 + z = 3*k. Suppose -21 = -16*d + 75. What is the least common multiple of k and d?
18
Suppose -l + p = 0, -p - p = 0. Suppose 2*j - j = l. Suppose 3*w - 6 = j, 0 = -2*v - w + 5 + 11. Calculate the smallest common multiple of v and 6.
42
Let k be -23*(-3 - (3 + -5)). Let o be (0 - -6)*(-1)/(-3). Suppose -o*p + k = 3*b, -2*p + 5*b + 22 = 7. What is the lowest common multiple of 5 and p?
10
Suppose 3*c + 44 = c. What is the lowest common multiple of (-2)/(-9) + (-16)/(-9) and c/(-33) + (-46)/(-3)?
16
Let z be -2 + 1 + (-1 - -2). Suppose z*b - 153 = -3*b. Find the common denominator of (4/6)/((-2)/b) and 8/7.
7
What is the lowest common multiple of 14 and -2 - (-3 - 0)*76/57?
14
Suppose -26*n + 20*n - 60 = 0. Calculate the common denominator of n*2/(-8) - 57/38 and -33/8.
8
Let d be 1/(-3) + (-52)/(-12) + 0. Suppose -7*n + 3 = -d. What is the lowest common multiple of 2 and n?
2
Let t(o) = 4*o - 4 + o - 6*o. Let u(g) = g**2 + 7*g - 18. Let m be u(-8). What is the smallest common multiple of 14 and t(m)?
42
Let d = -65 - -95. Let z = -12 + d. Calculate the smallest common multiple of 15 and z.
90
Let n be -3*(2 - (5 + -4)). Find the common denominator of -89/20 and (0 + n/(-84))*26.
140
What is the lowest common multiple of ((-3)/(-2))/(4333/1442 - 3) and 12?
1236
Suppose -41*v = -39*v - 140. Suppose i + 0 = 2*k - 41, -4*i = 5*k - v. Calculate the smallest common multiple of 22/1 + -1 + -1 and k.
180
Let k = 219194/63 - 27718/7. Let j = k - -481. Find the common denominator of j and 2/5 - (-72)/(-10).
45
Suppose -84 = 6*j - 10*j. Calculate the common denominator of j/10*21/(-9) and -53/12.
60
Suppose 3*i + 0*i - 4*v - 20 = 0, -4*i + 36 = 4*v. Suppose -i*l + 11*l = 90. Suppose -6*k + k = -l. What is the smallest common multiple of k and 6?
6
Suppose -3*c - 39 = -2*l, -47 - 2 = -3*l - 5*c. Calculate the common denominator of (-1*(-21)/(-6))/2 and l/14 - (-7 + 5).
28
Let b be (272/(-10))/((-297)/(-295) + -1). Let w = -40019/10 - b. Calculate the common denominator of 3/23*43/3 and w.
230
Suppose 4*f = -5*n + 253, -2*f = -3*n + 4*n - 53. Let k = 55 - n. Calculate the least common multiple of k and 10.
30
Let o = 4/5 + -197/40. Let p = -8 - 7. Calculate the common denominator of (p/42 - 1)/1 and o.
56
Let g = 51 + -36. What is the smallest common multiple of g and 22?
330
Calculate the common denominator of (-1489)/(-264) + (-96)/44 + 2 and 23/6.
24
Let c be 0 + 0 + 18 + -16. Let p(q) = 6*q**3 - 4*q**2 + 4*q - 3. What is the lowest common multiple of 7 and p(c)?
259
Let r = -1512 + 27265/18. Calculate the common denominator of r and 3 + (-78)/14 + -2.
126
Let x(g) = -5*g - 59. What is the lowest common multiple of x(-13) and 890?
2670
Suppose 18*n + 5 = 17*n. Let i(f) = -6*f - 12. What is the lowest common multiple of i(n) and 6?
18
Let p be (-1 + -3)*(-4