*k. Let a = -5 + 11. What is the lowest common multiple of a and k?
6
Let w = -129 + 237. What is the lowest common multiple of w and 18?
108
Let x = -57677/18 + 3196. Find the common denominator of 1/60 and x.
180
Let t(l) = -l**3 + 8*l**2 - 10*l - 6. Let y be t(4). Suppose y = -g + 7*g. Calculate the lowest common multiple of g and 6.
6
Suppose -10*h + 80 = 5*g - 7*h, -3*g - 4*h = -48. What is the lowest common multiple of g and 52?
208
Find the common denominator of 29/3 and (587/(-30) - -16)*(-10)/(-92).
276
Let z = -17212/7 - -1703512/693. Find the common denominator of z and 13/63.
693
Let h be (-9)/4 - 2/(-8). Let i = h - -6. Calculate the smallest common multiple of 1*(22/2 + 7) and i.
36
Let y = 1097/180 + -38/45. Let x = 17 + 10. Calculate the common denominator of 2788/72 + (-6)/x and y.
4
Let c = -57 - -52. Find the common denominator of 4 + (922/(-210) - 1/c) and -32/27.
189
Let g = 16/9 + -40/9. Calculate the common denominator of g and -53/7.
21
Let w = 28 - 16. Suppose -j = 2*y - 4 - 6, -4*j = -5*y + w. Suppose 4*d - 22*v + 20*v = 42, -3*d = -v - 34. Calculate the least common multiple of j and d.
26
Let v(f) be the second derivative of f**4/12 + f**3/2 - 6*f**2 + 2*f. Suppose -2*p + 18 = -p. Calculate the smallest common multiple of v(-6) and p.
18
Calculate the common denominator of 5/140*(-371)/(-6) and (-4)/(-24) - 214/36.
72
Let q(x) = 11*x**2 + 8*x - 8. Let g be q(1). Suppose -g*y + 9*y = -32. What is the smallest common multiple of 16 and y?
16
Let v = -27 - -29. What is the least common multiple of 64/(-12)*3/(-2) and 20 - (-1 - v/(-2))?
40
Suppose -2*l + 3*p - 19 = -95, 5*l - 2*p = 168. Suppose 0*s - 2*r = -2*s + 38, -3*s - 2*r + l = 0. What is the lowest common multiple of s and 12?
84
Suppose -3*t - 3*c + 6 = 0, t - 3 = -2*c + 4. Let w = t + 11. What is the least common multiple of 22 and w?
88
Let x = -2789 - -30715/11. Let j be -3 + (3 - (-202 + -1)). What is the common denominator of x and (j/(-42))/(-2 + 7/2)?
99
Suppose -6*o = -8 - 46. Calculate the lowest common multiple of 8 and o.
72
Suppose 4*w = 3*g - 48, 5*g - 72 = 2*g - 4*w. What is the least common multiple of 88 and g?
440
Let y = -60131 - -355177/6. Let p = 931 + y. Find the common denominator of p and 29/22.
66
Let s be 5/(30/8)*3831. Let r be -1*s/(-28)*4. Let t = r - 727. What is the common denominator of t and -29/9?
63
Suppose 4*d - 15 = d. Suppose d*j + 3 = -3*h + 37, -4*h - j = -34. Calculate the least common multiple of h and 14.
56
Calculate the common denominator of 6118/11760 - (-6)/(-63) and 125/18.
360
Suppose -m = 4*o - 260, -2*o - 4*m + 144 = -0*o. Calculate the smallest common multiple of 8 and o.
64
Let o be 2262767/718580 + 8/(-2). Let k = o + 2/1891. What is the common denominator of k and -61/22?
220
Let r = -438 - -77. Let l = r - -743/2. Find the common denominator of l and 127/12.
12
Suppose -3*y - 10 = 2*y, 3*f + 3*y - 114 = 0. Let i(j) = f*j**2 + 9 + j**3 - 30*j**2 + 14*j - 24*j**2. What is the least common multiple of i(13) and 14?
154
Let j = -287/36 + -34/9. Calculate the common denominator of j and 1 - 3/(-30)*-81.
20
What is the common denominator of 99/70 and 330/1452*892/35 - 5?
770
Let n = 317/10 + 19/5. Let f = 224453/38588 - -2/144705. Let w = -1/60 - f. Find the common denominator of w and n.
6
Let a be (-4)/18 + (-1015865)/126. Let f = a + 8059. Find the common denominator of f and -35/22.
154
Let f = 5247773/81669 - 72/3889. Let q be 9 - ((-681)/(-9) + -4). Let r = q + f. Find the common denominator of r and 101/6.
42
Let w = -5699/12 + 1484/3. What is the common denominator of 71/242 and w?
484
Calculate the least common multiple of 33/6 - 10/(-4) and 23.
184
Suppose -3*p = 5*c - 42, 0 = 3*c - 2*c - 2*p - 11. What is the smallest common multiple of 27 and c?
27
Let d = 15067 + -542369/36. Calculate the common denominator of -29/144 and d.
144
What is the least common multiple of (44/(-55))/(3/(-15)) and 16?
16
Suppose -18 = 14*n - 11*n. Let k(h) = h**2 + 15*h + 9. Let c be k(n). Find the common denominator of -71/12 and 2 + (c/(-24))/5.
24
Let y = 11 - 0. Let n(i) = i**2 - 7*i - 6. Let x be n(y). What is the common denominator of x/(-44) - (-12)/(-12) and 15/8?
88
Suppose -n + 2*n = -2. What is the common denominator of 4*(0 - (-42)/(-15)) and (-1)/(48/(-369)) + n?
80
Find the common denominator of -3/55 and (47 - 8)*3/15.
55
Let q = -1735 - -12105/7. Let o = 31/14 + q. Let p = 22977/754 + 10/377. Calculate the common denominator of o and p.
2
Let i = -27244 - -1689089/62. Calculate the common denominator of 1/6*-1*109 and i.
186
Suppose -9*f - 56 = 5*f. Let z(g) = g**2 + 2*g. Calculate the least common multiple of z(f) and (-52)/(-6) - 2/3.
8
Let b(v) = 3*v**2 + v - 1. Suppose 0 = -z - 2*t, 0 = 2*z + 2*z - 2*t - 30. Suppose -18 = 3*a - z*a. What is the least common multiple of b(-2) and a?
18
Suppose 0 = -55*n + 60*n + 30. What is the smallest common multiple of 14 and n/8 + (406/(-8))/(-1)?
350
Let n(j) = j**2 - 20*j + 11. Let o be n(20). Let u = 21 - o. What is the least common multiple of u and 10?
10
Calculate the lowest common multiple of (-44)/(-4) + (-12 - -7) and 72.
72
Let h = -9095/5068 + 21/181. What is the common denominator of h and 43/392?
392
Let o = -16 + 37. Let h = 27 - o. What is the smallest common multiple of h and 10?
30
Suppose 2*t + 4*c + 14 = 0, -3*t + 5*c + 23 = -0*c. Let f(k) = 6*k**3 + k**2 - 2*k. Calculate the smallest common multiple of f(t) and 44.
220
Suppose 316 + 428 = 4*d. Let f = d + -375/2. Find the common denominator of f and (-190)/(-8) + 1/1.
4
Let s = -6288 - -282991/45. Calculate the common denominator of s and -37/225.
225
Suppose -42 + 60 = -f. Calculate the common denominator of 2933/252 - 8/f and -4/21.
84
Let z = 64 - 46. Let l = z - 14. Suppose 0*m + m + 44 = 4*g, -l*g + 36 = m. What is the least common multiple of g and 5?
10
Let k = 630790/9 - 69949. Let s = 20623/144 - k. Find the common denominator of -41/18 and s.
144
Let t = 27/26 - 476/39. Let v = 5 - 2. Calculate the common denominator of t and (v*(-129)/(-18))/2.
12
Let i(r) = r - 350. Let o be i(0). What is the common denominator of 71/4 and (8/30)/((-4)/o) - 2?
12
Suppose -3*h + 14 = -7. Suppose -z + 5*s + 3 = 0, -16 + 5 = z + 2*s. Calculate the lowest common multiple of (0 + z)*10/(-7) and h.
70
Let b = -161363/12 + 13435. Let k be -25*(-659)/(-1) + 3. Let p = k + 230707/14. What is the common denominator of p and b?
84
Let s(y) = 5*y + 3. Suppose 365 = 99*k - 1714. What is the least common multiple of s(6) and k?
231
Let j = 3 - -3. Let a = 2 + j. Let x = -8 + 12. What is the smallest common multiple of x and a?
8
Calculate the smallest common multiple of (-11)/1 - (-14 + -12) and 56.
840
Let c = 198 + -178. What is the least common multiple of ((-2)/(-4))/((-1)/(-4)) and c?
20
Let c(g) = 25*g**2. Let k be c(2). What is the smallest common multiple of 12/3 - k/(-5) and 10?
120
Let i = -2755/99 + 300/11. What is the common denominator of i and ((-402)/(-90))/(0 + (-6)/(-9))?
90
Let g = 26 + -49/2. Let t = -76/3 + g. What is the common denominator of t and (46/56)/(1/2)?
42
Calculate the common denominator of (3*(-3)/(-36))/(310/(-12865)) and -47/15.
120
Let l = -20 + 42. Let r = 82 - 58. What is the least common multiple of r and l?
264
Let a = -73915/232056 + 143/586. What is the common denominator of 26/27 and a?
2376
Suppose -13 - 2 = c. Let x = 13 + c. Calculate the smallest common multiple of (x + (-10)/(-3))*6 and 16.
16
Suppose -11 = -2*p + l, 13*p - 5*l = 9*p - 5. Calculate the lowest common multiple of (9/6)/((-6)/(-32)) and p.
40
Let c = -3493 + 55909/16. Let d = 100741401/176 + -572397. Let q = d + c. What is the common denominator of -15/4 and q?
44
Suppose 60 = 58*v - 15*v + 17*v. Suppose 7*h - 5*x = 3*h + 29, -3*x = -5*h + 20. Calculate the least common multiple of v and h.
1
Suppose 9*d = 166 - 22. What is the least common multiple of d and 14?
112
Let i be -6 + 0*2/4. Let u(f) = f**3 + 6*f**2 - f - 1. Let b(n) = n**3 - 5*n**2 + 6*n + 11. Calculate the least common multiple of u(i) and b(3).
55
Let b = 2757/8 - 73999/216. Find the common denominator of b and -43/8.
216
What is the common denominator of 1*(-1)/3 - 550/510 and -31/3?
51
Let g(y) = y**2 + 53*y + 288. Calculate the smalle