= 12249/8 + -1529. What is the common denominator of j and n?
120
Let k be ((-16)/(-36))/((-4)/(-18)). Let y be -1 - (2 + -4 + k). Let z = y + 9. Calculate the lowest common multiple of z and 7.
56
Let p = -1829/10 - -177. Let o = 3109/2608 + 40/163. What is the common denominator of p and o?
80
Let i be 1*3/3 + 29. Let f be 112/(-18) + i/135. Calculate the common denominator of (-3)/4 + (-2)/f and -22/3.
12
Suppose -h - 5*n + 0*n = 305, -1258 = 4*h + n. What is the common denominator of h/220 - 2/(-11) and 12/8*(-68)/(-16)?
8
Let a = -1/3409 + 385223/20454. What is the common denominator of ((2 + 1)*1)/(187/(-204)) and a?
66
Suppose -4*g - 29 = -4*o + g, g + 13 = 2*o. Suppose 5*i = 4*i + 4, i = 5*s - 1. Let v = s - -1. What is the least common multiple of v and o?
6
Let u = 3 - -12. Calculate the lowest common multiple of 122/15 + (-2)/u and 8.
8
Let q(l) = -l**2 - 7*l - 7. Let u be q(-5). Suppose -u*f + 0*f = -72. Calculate the lowest common multiple of f and 24.
24
Let w = 140645 + -9282263/66. Let x = w - 42/11. Find the common denominator of x and 21/26.
78
Let l = 245 + -244. Calculate the smallest common multiple of l and 4.
4
Find the common denominator of (17/(-51))/(8/183) and -50/257.
2056
Let b(k) = 8*k + 262. What is the smallest common multiple of b(-17) and 112?
1008
Let w = 24979/40500 + -1/10125. Calculate the common denominator of -59/84 and w.
420
Calculate the smallest common multiple of (-9)/(72/56) - -11 and 7.
28
Let g(b) = -b**3 - 17*b**2 - 16*b + 1. Suppose n = 4 - 20. Calculate the least common multiple of g(n) and 6.
6
Let z = 107 - 37. Find the common denominator of ((-1113)/z)/((-14)/10 - 1) and 5/9.
72
Suppose -11*p + 40 = -3*p. Let c be 5/(p/(-125)*-5). What is the common denominator of ((-5)/c)/(9/(-30)) and 9/2?
6
Suppose 2*r + 50 = 5*y, r - 4*r = -y + 23. Suppose -12*b = -9*b - 6. Calculate the lowest common multiple of b and y.
8
Calculate the common denominator of (7/(-6))/(133/(-57)) and 53/18.
18
Let w = -5 + 16. Let s(p) = -p**3 + 10*p**2 + 12*p - 15. Let k be s(w). What is the smallest common multiple of 210/28*k/(-3) and 4?
20
Suppose 2*b - 5*j = 380, 3*b - 3*j = -7*j + 570. Calculate the smallest common multiple of b and 45.
1710
Let x(q) = -q**2 - 7*q - 3. Let n be x(-6). Suppose -4*k - 8 = -2*v + v, 0 = v + n*k - 22. Let z = -69 - -75. Calculate the smallest common multiple of v and z.
48
Let y = 10/1381 + 31463/41430. Let a = -15155/6 - -2516. Find the common denominator of y and a.
30
Let b be 15/10*(-8)/(-3). Let g = -4655/414 - -16/207. What is the common denominator of b/18 + (-1 - -5) and g?
18
Suppose m - y - 37 = 0, -3*m - 2*y + 94 + 7 = 0. What is the lowest common multiple of m and 7?
35
Let f = -866/165 - -106/15. Let z(p) = -p**2 - p + 9. Let q be z(0). What is the common denominator of f and 1/3 - 10/q?
99
Let k be 6/10 - (-2360829)/(-832140). Let t = k + -5/2412. What is the common denominator of 37/6 and t?
138
Let a be (-12)/(-8) - (-156)/(-8). Calculate the least common multiple of ((-2)/3)/(1/a) and 44.
132
Calculate the common denominator of (-5)/(-50)*994/21 and -68/55.
165
What is the least common multiple of 152 and (-24 + 27)*(-304)/(-6)?
152
Let v = 417 + -745. What is the common denominator of 4/(-18) - v/(-576) and 11/12?
24
Suppose -16*f - x = -11*f - 9, 2*x = 8. Calculate the lowest common multiple of f and 11.
11
Let z be (-4)/18 - ((-1232)/36 - -6). Suppose 0 = 5*q - b + 4 - 44, -z = -2*q - 2*b. Calculate the smallest common multiple of q and 12.
36
Let t = -279 - -285. Calculate the least common multiple of 0 + ((-30)/(-2) - 1) and t.
42
Suppose j = -3*j + 44. Let q(p) = -p**2 - 10*p - 2. Let d = 30 + -37. Calculate the least common multiple of j and q(d).
209
Let y(u) = -4*u. Let t be y(-8). Let z = -12 + t. Suppose 2*n - 4*l - 24 = 0, 5*l + 42 = -3*n + 7*n. Calculate the least common multiple of n and z.
40
Let c = 71/784 + -15/98. Let p be ((2/(-2))/1)/(-1). What is the common denominator of p/2 + (-104)/22 and c?
176
Let l = 24 + -50. Let o = -88 + 124. Let f = l + o. Calculate the least common multiple of 4 and f.
20
Let m be (-5)/(320/1792632)*(-2)/9. Suppose -4*d + 6*d = -12462. Let u = d + m. What is the common denominator of 19/8 and u?
24
Calculate the common denominator of 1 + -3 - 163/(-6) and -21*(-15)/1260*(-7)/(-2).
24
Let u(y) = -y**3 + 6*y**2 - 3*y - 10. Let w be u(5). Suppose 2*f = b + 3*b - 14, w = b - 4*f + 14. What is the lowest common multiple of b and 4?
12
Suppose 0 = -2*w + 5*w - 3. What is the smallest common multiple of (-5)/(-3 + 2) + w and (1 + 11)*(-4)/(-6)*1?
24
Suppose 2*d - 4 = 6*d. Calculate the least common multiple of 12 and d + 38*(-2 + 20/8).
36
Let b = -28 - -28. What is the common denominator of 93/10 and (b - (-28)/9)*(-5)/(-4)?
90
Let k = -1513807768097/85685346 - -1/4760297. Let q = -17673 - k. What is the common denominator of q and -37/6?
18
Suppose -11*s + 13*s = 4. Calculate the lowest common multiple of s and 46/6 + (-1)/(-3).
8
Let x = -325565/4 + 83189. Let k = x - 1776. Let w = 8543/6 + -1431. What is the common denominator of w and k?
12
Calculate the common denominator of 20/252*10/(-25) and 35/72.
504
Let g(a) = a**3 + 3*a**2 + 5. Let i be g(-3). Suppose 0 = i*j - 9 - 21. What is the least common multiple of 2 and j?
6
Let t(b) = 7*b - 7 - 6*b - 10*b. Calculate the least common multiple of t(-3) and 32.
160
Let m(q) = q**3 - 5*q**2 + 4. Let c be m(5). Let l(v) = -c + 6*v - v - v. What is the least common multiple of l(5) and 16?
16
Let h = -15 + 21. Let m = -7 + h. What is the common denominator of -81/10 and -2 - 58/28*m?
70
Let g = 10228127377361/5538 - 1846899138. Let q = 6/923 - g. Find the common denominator of q and 57/4.
12
Find the common denominator of 42/251 and 8/(-4) - (-34)/10.
1255
Let o = -93 - -63. Let h = 169823/18 - 9431. Calculate the common denominator of h and o/(-9)*51/(-36).
18
Let z = 495/7 + -3561/56. Let g = -11943 - -8418. Let s = 35303/10 + g. Calculate the common denominator of z and s.
40
Let c = 24510 + -1078359/44. What is the common denominator of c and 43/11?
44
Suppose -x = 4*x - 90. Let i = -13 + 16. Suppose -22 = -3*m + 2*d, -2*d = -3*m + i*d + 28. Calculate the smallest common multiple of x and m.
18
Suppose -z + 3 = 4*v - 4, 2*z = 5*v - 25. Find the common denominator of 5/(-6)*214/(-10) and (-115)/(-16) + v*(-3 + 2).
48
Let r(i) = i**2 - 4*i - 9. Let u(h) = h**3 - 11*h + 12. Let o be u(3). What is the smallest common multiple of 18 and r(o)?
18
Let r = -84169/14 + 6009. Calculate the common denominator of 42/108*(-207)/(-42) and r.
84
Let v = 23 - 12. Let i(t) = -t**2 + 14*t - 17. Calculate the smallest common multiple of 6 and i(v).
48
Find the common denominator of 4150/20*2*(-1)/80 and -2 - (-5)/(-90)*-89.
144
Let n = 807/310 + -28/31. Suppose 0 = 2*b - 6*b - 60. What is the common denominator of 6/b - (-472)/(-70) and n?
70
Let j be (5/7)/((-8)/(-56)). Suppose -4*k = 2*o - 182, -4*k = j*o - 142 - 31. Find the common denominator of k and -10.
1
Suppose 9*t + 20 = 4*t. Calculate the smallest common multiple of (t + -2)*(-1)/3 and ((-39)/(-26))/(3/16).
8
Suppose -3*n - 135 = -8*n. Let l be ((-162)/(-45))/(-2 - 18/(-10)). Find the common denominator of l/n + 230/48 and 77/8.
8
Suppose -2*i = i - 3. Let n = i + 5. What is the smallest common multiple of n + -3 - 11*-1 and 14?
14
Let z = 128778 + -24467933/190. Calculate the common denominator of z and -89/342.
1710
Let u = 10855 - 217029/20. What is the common denominator of u and (-1)/2 + (-206)/(-8)?
20
Suppose -c - r + 5 = -4*r, -2*c - 4*r + 60 = 0. What is the smallest common multiple of c and 2?
20
Let h = -77 + 86. Calculate the least common multiple of 45 and h.
45
Let n = 7974301/6 + -1332306. Let l = 3272 + n. Find the common denominator of l and -37/9.
18
Find the common denominator of 38/3 and 8393/(-7980) + (-12)/(-9).
1140
Let z(j) = j**3 + 7*j**2 - 8*j + 8. Suppose 0 = -3*m - 4*r - 24, -r - 2*r = -m - 8. Calculate the lowest common multiple of 9 and z(m).
72
Let c(x) = -x - 1. Let r(q) = -q - 2. Let i(l) = 6*c(l) - 5*r(l). Let d(t) = -t**2 - t - 6. Let m be d(0). Calculate the smallest common multiple of i(m) and 1.
10
Let s = 1/186 + 1193/93. Find the common denominator of -61/12 and s.
12
Suppose -4*p + 16 =