0. Suppose n + n + 6 = h*t, 3 = -3*n. Calculate the smallest common multiple of t and 14.
14
Let f = -254455/81 + 3141. Find the common denominator of f and 53/18.
162
Suppose -4*k = -10 - 38. Let s = -6 + k. Let a = 166 + -158. What is the least common multiple of s and a?
24
Let h = -10 - 39. Find the common denominator of (-15)/6 + 2 - 113/(-12) and h/(-3) + 2/4.
12
Suppose 2*i = -i - 62514. Let p = 2201/324 + 74259431/3564. Let y = i + p. Find the common denominator of y and -3/4.
44
Let h be 10/(2*(-4)/8). Let p = 18 + h. What is the least common multiple of p and 20?
40
Let o(x) = -x**3 + 5*x**2 + 1. Let p be o(5). Suppose -p + 33 = 2*q. What is the lowest common multiple of q and 32?
32
Let q = 12826/117 + -1324/13. Find the common denominator of -73/334 and q.
3006
Suppose 75 + 37 = 8*x. Calculate the least common multiple of x and 35.
70
Suppose 9*n - 10*n + 8 = 0. Let a = n - 3. What is the lowest common multiple of 10 and a?
10
Suppose 3*z - 2 = -4*m - 1, 3*m = -2*z. Calculate the lowest common multiple of z and 6/(-15) - -61*(-6)/(-15).
24
Let z = 310 - 309. What is the lowest common multiple of 12 and z?
12
Suppose s + 0*n - 4 = 2*n, 3*s - 12 = -n. Suppose 3*j + 5*r = 28, -4*j + 22 = s*r - 2. What is the lowest common multiple of j and 85?
85
Let y = 119 + -47. Let k be (-49)/(-14)*y/14. Suppose -g - k = -26. What is the lowest common multiple of 14 and g?
56
Suppose -3*d = 6, 5*u = -5*d + 60 - 15. Let k = 1 + 1. Suppose 0 = k*z - z - 3, 5*z + 33 = 4*i. Calculate the smallest common multiple of u and i.
132
Let y be 5 - (-84)/(-18) - (-526)/(-1290). Let t = -29551/1290 - y. Find the common denominator of -51/10 and t.
30
Let i(f) = f**2 - 17*f + 32. Calculate the least common multiple of 680 and i(16).
1360
Suppose 5*n - 5*b = 10, n - 3*b = -19 + 11. Calculate the least common multiple of n and 92.
644
Let z be (-5594)/(-10479) - (-1 + 3). Let u = 5/499 - z. What is the common denominator of 137/12 and u?
84
Let a = 143 - 88. Calculate the least common multiple of 25 and a.
275
Let k(j) = 9*j - 1. Let p be k(3). Suppose -p*d + 30*d = 36. Calculate the smallest common multiple of 2 and d.
18
Let r = -2725/8 - -18969/56. What is the common denominator of r and (3/9)/((-336)/78 + 4)?
84
Let m = -1439 - -11495/8. Let t be (-2)/(-3) + (-221578)/60. Let q = t + 3681. Calculate the common denominator of m and q.
40
Let y(z) = 81*z + 658. What is the least common multiple of 114 and y(-8)?
570
Suppose -i - 1 = -6. What is the common denominator of (-14)/21 - i/(-6) and -93/4?
12
Let w = -20147/7602 - -4/543. Let o(n) = -n**3 - 4*n**2 - 8*n - 1. Let s be o(-5). What is the common denominator of w and (-12)/s*245/15?
112
Let w = 14 - 10. Suppose -12 = -4*c - 2*s, -4*c - 3*s = -0*c - 10. Calculate the lowest common multiple of c and w.
4
Let j(l) = -15*l - 8. Let c(k) = -7*k - 4. Let d(w) = 13*c(w) - 6*j(w). Let r be d(0). What is the common denominator of r/(-6) - 2345/336 and -41/8?
16
Let u(r) = -48*r + 1. Let a be u(3). Calculate the common denominator of -75/2 and a/(-28) - (-3 - -6).
28
Let u(j) = -j**2 - 13*j - 5. Let t be u(-12). What is the lowest common multiple of t/2 - (-7)/(-14) and (23 + -2)/((-15)/(-10))?
42
What is the common denominator of -31/27 and (-17)/(-10)*765/(-102)?
108
Suppose 0 = -10*v + 5*v - 5. What is the lowest common multiple of 112 and 88/10*15/(-6)*v?
1232
Let p(j) = j**2 + 5*j. Let a(s) = -s**2 - 85*s - 802. Calculate the smallest common multiple of a(-11) and p(-6).
12
Let j be 1090/70 - 3/(-7). Suppose 3*a = -j - 86. Let i = a - -41. What is the least common multiple of i and 3?
21
Let u = -1/871 - 13057/6968. Find the common denominator of (-1)/(-24)*(-133 + 30/(-5)) and u.
24
Let r(f) = -f**2 - 8*f - 4. Let g(q) = 4*q + 4. Let n be g(-3). Let a be r(n). Let t = a + 14. What is the smallest common multiple of t and 8?
40
Let a be 42/((-695)/(-30) + 3). Let k = a - 20021/3768. Calculate the common denominator of k and -59/24.
24
Let u = -8 - -10. Suppose -u*n - n = -6. Calculate the smallest common multiple of n and (-5)/((-5)/(-4))*-5.
20
Let o(k) = -k + 19. Let x be o(12). Let i = x - 8. Let g = i - -5. Calculate the smallest common multiple of 2 and g.
4
Let k = 6/10688749 - -2069801422487/213774980. Let d = 9687 - k. What is the common denominator of 0 + 3/(84/(-38)) and d?
140
Find the common denominator of -139/240 and (186/27 + 3)*(-25)/375.
2160
Let m = 12 + -7. Suppose 0 = 3*s - 4*z - m, 0*z = z + 2. Let y(p) = 6*p**2 - p - 1. What is the least common multiple of y(s) and 5?
30
Let y(v) = v**3 - 23*v**2 + 5*v - 124. What is the least common multiple of 4 and y(24)?
572
Let m(q) = -q + 5. Let r be m(9). Calculate the common denominator of ((-405)/(-42) + r)*-1 and -21/22.
154
Let n be 0 + (-5 - 1 - 3). Let s = n + 12. Suppose h + 2*y = s, -3*y + 0 = 6. What is the smallest common multiple of h and 9?
63
Suppose -3*i - 2*i = -2*x + 16225, 3*i - 3*x = -9735. Let z = i - -39031/12. Let q = 52/99 - -265/198. Calculate the common denominator of q and z.
132
Let f = -226 + 328. Calculate the lowest common multiple of 102 and f.
102
Let u = -191 - -289. Calculate the lowest common multiple of u and 20.
980
Let d = -3865 + 3878. Suppose -3*i - i = -40. What is the smallest common multiple of i and d?
130
Calculate the least common multiple of 6160/210 + (-2)/(-3) and 21.
210
Find the common denominator of 89/12 and 8/(-2) - 154*6/(-432).
36
Calculate the smallest common multiple of 4*(-6)/(-64) - (-1038)/48 and 6.
66
Suppose -78*r = -114*r + 1800. Let v = -26 - 10. Calculate the common denominator of -3/50 and r/7*9/v.
350
Let d be (2/3)/((-586)/(-3)). Let l = 4397/586 - d. Find the common denominator of ((-114)/4 + -1)/(-1) and l.
2
Let u = -11767/90 + 265/2. Calculate the common denominator of 101/60 and u.
180
Let v be 2/(-4) + (-10)/(-4). Suppose 3*n = 3*b + v*n - 28, -4*n = 16. Find the common denominator of 51/4 and (-51)/34*33/b.
16
Let d be ((-2)/4)/((-1)/4). What is the smallest common multiple of (-129)/(-4) + d/(-8) and (-15)/(-5)*(-60)/(-9)?
160
Let u = -9 + 15. Let i be 2859/(u*8/(-6)). Let j = i - -353. What is the common denominator of 41/6 and j?
24
What is the common denominator of 89/20 and (6 - 171015/18928) + 3?
7280
Let u = -118543/14 + 8472. Let f = 190381/16 + -11903. Find the common denominator of u and f.
112
Let p be (-4)/3 + (-112)/(-12). Let g = -168217/19335 - -1/7734. Find the common denominator of g and (p/(-6) + 2)/((-32)/1044).
20
Suppose 5*s + 3*h - 193 = -h, -179 = -5*s + 3*h. Let k = s + -19. What is the lowest common multiple of 12 and k?
36
Let c = -1166912957294/2595 - -449677452. Let x = c + -5/519. Find the common denominator of (30/(-3))/((-8)/3) and x.
20
Suppose -32*x - 231 = -35*x - 3*g, 4*x - 307 = -5*g. What is the lowest common multiple of x and 18?
234
Let c(z) = -4*z - 2. Let g be c(-3). Let n = -7 + g. Calculate the common denominator of (445/(-20))/(n + -2) and -3/8.
8
Suppose 5*q + 3*q - 144 = 0. Let u = q + 2. What is the least common multiple of u and 4?
20
Let r be ((-9)/(-6))/((-3)/4). Suppose q + 2*x = -0*x - 3, 5*q - 4*x = -43. Calculate the common denominator of r/q + (-113)/28 and 49/10.
20
Let h be ((-6)/4)/(159/204*1). Let x = h + 11655/4982. Find the common denominator of x and 11/6.
282
What is the smallest common multiple of -5*((-21)/6 + -1)*2 and 99?
495
Let s = -3653907/64 + 57091. What is the common denominator of 107/144 and s?
576
Suppose 0 = 4*b - 27 + 7. Suppose -14 - 11 = -5*q. Suppose 10*y = 25 - q. Calculate the smallest common multiple of y and b.
10
Let v(j) = -5*j - 18. What is the lowest common multiple of 42 and v(-5)?
42
Let z(l) = l**2 - 10. Let w be z(4). Let m be w*(1 - (-7131)/81). Let x = -536 + m. Find the common denominator of -7/4 and x.
36
Let g = -29595 + 208879/7. Let c be 12410/56 - (-4 - -5). Let z = c - g. Calculate the common denominator of -67/68 and z.
68
Calculate the common denominator of -83/52 and ((-18)/(-8))/9*106/(-26).
52
Suppose 3*i - v - 2091 = 0, 2*i - 3*v = -2*i + 2783. What is the least common multiple of i and 10?
3490
Let s(g) = g - 4. Let i(v) = 7*v**2. Let z be i(1). Let o be s(z). Suppose -k = -o*k + 32. What is the smallest common multiple of 8 and k?
16
Let c(d) = -d**3 - 7*d**2 - 9