1573/12 + -15119. What is the common denominator of s and -101/24?
24
Suppose -5*v - 5*r = 8 + 27, v = 5*r - 25. Let c be ((-6)/(-15))/((-1)/(-5)). Calculate the common denominator of c + 82/v + 0 and -11/4.
20
What is the common denominator of 6 - (4 + (-15)/22) and -61/26?
286
Let q = -4/7541 + 490253/165902. Let v = 14885/656 - 692/41. Calculate the common denominator of v and q.
176
Let j = 3 + -4. Calculate the lowest common multiple of -9*(j + 4/(-4)) and 12.
36
Suppose 24 = 2*z + 4*h - 16, z - 23 = -5*h. Let t = 3/2248 + 11941/1124. What is the common denominator of t and (-10)/55*z/4?
88
Let a(j) = -j + 1. Let u(t) = 6*t + 3. Let b(k) = -5*a(k) - u(k). Let q be b(-6). Calculate the smallest common multiple of 2 and ((-3)/(-6))/(q/(-32)).
8
Suppose -4*d + 24 = 4*u, d = -0*d + 4. Calculate the lowest common multiple of u and 2.
2
Let d = -892 - -1727/2. Find the common denominator of 14/4 + 1/(-4) and d.
4
Let s(v) = -v**2 + 7*v + 6. Suppose 3*g = -g + 48. Suppose 4*l - g - 8 = 0. What is the smallest common multiple of l and s(7)?
30
Suppose 0 = 3*j - j. Suppose j = -2*s - 3*s + 10. Suppose -s*o - 18 = -4*u, 4*u + u - 23 = 3*o. Calculate the lowest common multiple of 8 and u.
8
Let t = -1 - -2. Let b(g) = 3*g + 1. Calculate the lowest common multiple of t and b(3).
10
Let w = 11 - 5. Calculate the lowest common multiple of w and 9.
18
Suppose -27 = -3*u + 2*i + 29, 5*u + 5*i - 85 = 0. Calculate the lowest common multiple of 22 and u.
198
Let i = 20761/6 + -3447. What is the common denominator of 2/(28/74)*1 and i?
42
Suppose -8 = -4*g - 4*a + 52, 0 = 4*g - 2*a - 66. Suppose -2*h = -4*h + g. Suppose 0 = -2*r + 4*r - h. What is the lowest common multiple of r and 8?
8
Suppose -5*g + 6 = -2*g. Suppose g*c + 0*c = 3*s - 5556, 2*s = c + 2777. Let d = -30621/11 - c. Calculate the common denominator of d and 15/7.
77
Let c(a) = -a**3 + a**2 - a + 6. Let x = 5 - 5. Calculate the smallest common multiple of 10 and c(x).
30
Suppose -20 = -3*a - 2*a, -5*a = 4*q - 336. Suppose j = -2*j - 5*r + 51, 4*j = -3*r + q. Calculate the lowest common multiple of 6 and j.
66
Let z = 43 - 24. Let g be (386/(-3))/((-12)/218). Let k = -2341 + g. What is the common denominator of k and z?
9
Suppose 3*i - 72 - 72 = 0. Let q = i + -32. Suppose 0*n = n - 18. What is the lowest common multiple of q and n?
144
Let m(l) be the third derivative of l**6/120 - l**5/10 - l**4/24 + 3*l**2. Let s be m(5). Let a = 52 + s. Calculate the lowest common multiple of a and 20.
220
Let a be (-1 - 2) + 3 + 0. Let x(g) = 2*g + a*g + g - 4 - 3. Calculate the least common multiple of x(5) and 9.
72
Let m = 102 - 78. What is the least common multiple of 21 and m?
168
Let w = 328 - 308. Suppose 9*z - 60 = 4*z. What is the lowest common multiple of w and z?
60
Let g = 9713/1462 + -4/5117. Suppose 17 = -4*p + 1. What is the common denominator of (-47)/2*p/8 and g?
28
Let o = -9008 - -2667. Let t = o + 22579/4. Let n = t + 24935/36. What is the common denominator of n and 73/2?
18
Let h = 24 - 4. What is the lowest common multiple of 2 and h?
20
Suppose 2*c = 7*c - 50. Let q(n) = -10*n**3 + 2*n**2 - 1. Let v(s) = s - 10. Let w be v(9). Calculate the least common multiple of q(w) and c.
110
Let v(p) = -9*p + 4. Let c be 2/(-11) + 84/(-22). Let f be (-1)/c - 92/(-16). What is the common denominator of -25/8 and v(f)?
8
Suppose 0 = -5*z - 4 + 14. What is the smallest common multiple of 22 and (-38)/(-2) + (-6)/z?
176
Suppose 4*n - 5*l - 126 = -13, -5*l - 135 = -5*n. What is the least common multiple of n and 2/(-3)*324/(-12)?
198
Let k be (1 - (-1 - -23))*2. Let l be (-45868)/k + (-4)/(-8). Let z = l + -7794/7. What is the common denominator of z and -57/2?
6
Let l = 3851/70 + -228/35. What is the common denominator of l and 1245/18*(-3)/(-10)?
4
Suppose 3*c - 4 = 14. Let q = 18 - c. What is the least common multiple of ((-2)/3)/(3/(-9)) and q?
12
Let p = -4837/2810 - -6/281. What is the common denominator of p and -25/36?
180
Let u = 9 - 5. Suppose -3*g + 12 = 3*j, g - u*g + 16 = 4*j. Calculate the smallest common multiple of 3 and j.
12
Suppose u = 2*u - 3. Let l = -5 + u. What is the least common multiple of 22 and (-50)/(-5) - (l + 0)?
132
Suppose 2*t = 11 - 1. What is the common denominator of (3/9)/(t/3) and (-374)/77 - 2/7?
35
Suppose 3*v = 12, x - 5*v + 18 = -0. What is the least common multiple of x/4*14 + -3 and 32?
32
Let y = -46717/11102 + -5/793. What is the common denominator of -57/8 and y?
56
Let s be 5112531/(-1640) + 2/5. Let t = -3117 - s. Let w = t - 16563/328. Calculate the common denominator of w and 99/2.
2
Find the common denominator of 138/(-16)*(-9)/27 and 3270/(-12)*(-2)/50.
40
Let j = -31 + 47. Suppose j = 3*u + 5*a - 5, -a + 7 = u. What is the smallest common multiple of 3 and u?
21
Let v(m) = -m + 11. Let n be v(-9). Find the common denominator of 219/n - (-5)/(-20) and -37/10.
10
Suppose -n + 50 = -4*n + 4*z, 0 = n - z + 17. Let r be -4*(-2)/(4/(-2)). Calculate the smallest common multiple of r/n - 34/(-9) and 8.
8
Let p(f) = f**3 - 5*f**2 - 4*f - 5. Let y(j) = 2*j + 5. What is the least common multiple of p(6) and y(4)?
91
Calculate the common denominator of (-2145)/(-52)*1/(-5) and 125/6.
12
Let f = -7 - -17. What is the least common multiple of 12 and f?
60
Let c = 37/10 - 161/5. Let s = 4 + -1. Calculate the common denominator of c and 0 + 2 - (22 - s).
2
Find the common denominator of -99/10 and 3*(37/(-6) + 3).
10
Let n(a) = a**2 + a - 4. Suppose -2*k - 2*b = 2*k + 14, 0 = -3*k + 2*b - 14. Let p = 7 + 5. What is the smallest common multiple of p and n(k)?
24
Suppose 17 = -3*r - 7. Let z = -2801 + 28089/10. What is the common denominator of z and -5 - r - (-31)/4?
20
Find the common denominator of -55/14 and ((-133)/(-35))/(4/(-10)).
14
Suppose -4 = -2*p + 6. Suppose -7*x + 6*x = 6. What is the least common multiple of (-4)/x - 21/(-9) and p?
15
Let f be 5 - 3 - 19825/8. Let u = f - -2486. Calculate the common denominator of u and -39/10.
40
Let m = -7 - -13. Let j = m - 4. Calculate the smallest common multiple of j and 20.
20
Suppose 3*p = 4*f + 8, 5*p - f - 13 = 6. Suppose 0 = -0*x + p*x - 8. Let r = 0 + 2. What is the smallest common multiple of r and x?
2
Suppose k + 3*p - 13 = -k, p = 4*k - 5. Let a be k/2*45190/35. Let f = a + -1284. Find the common denominator of f and 37/9.
63
Let z(o) = o**3. Let w be z(1). Suppose -2*a + 3*q = w, -9 = -4*a - 2*q - 3. What is the smallest common multiple of a and (-4)/6*18/(-12)?
1
Suppose 0 = -3*o - 3*r + 6, 2*r - 4*r + 4 = -2*o. Suppose -2*s + 20 = -5*h, o = h + h. Suppose 752 = 63*i - 16*i. What is the least common multiple of s and i?
80
Let m(f) = f**2 - f + 19. Let c be m(0). Suppose -p = 3*g - c + 2, -1 = p. Calculate the smallest common multiple of 10 and g.
30
Suppose 0 = -5*z - 25, -g - z - 19 = 4. Calculate the common denominator of 3/(-4)*66/g and 9/4.
4
Let k = 114386615/51 + -136120429891/60690. Let p = k - 1/2023. Calculate the common denominator of 4/6 - (-290)/24 and p.
20
Calculate the common denominator of 76/51 and (10 - 9)*(-218)/20.
510
Suppose o - 20 = -4*i, -3*o + 4 = i - 3*i. Let t be 3/(-6)*-2*-23. Let r = t + 32. What is the least common multiple of r and o?
36
Suppose -j = 4*c - 21, -4*c + 2*j = c - 23. Calculate the lowest common multiple of (-3)/(7 - 4) - -4 and c.
15
Suppose -2*h = 3*h - 2*i - 13, i = -4. What is the common denominator of 35/8 and 3/(9*h/(-58))?
24
Let w = 31 + -13. Let v be -3 + 1 + -5 + 3. Let f(y) = -2*y + 2. What is the lowest common multiple of f(v) and w?
90
Suppose 0*y = -y + 8. What is the smallest common multiple of y and 11?
88
Suppose 1 = 3*s - 29. Let d = 53 + -37. Calculate the least common multiple of s and d.
80
Let z be 15/((-1)/(1/1)). Let h = -9 - z. Let k(u) = -u**3 + 7*u**2 - 5*u + 4. Calculate the lowest common multiple of 3 and k(h).
30
Let l(o) = -o**2 + 10*o + 5. Let g be l(10). Let c = 50 + -1. Suppose 2*m = -5*a + 3*m + c, 3*m + 57 = g*a. Calculate the least common multiple of a and 2.
18
Let n = 1 + -1. Suppose n = -5*l + l + 16. Suppose -l = b - 5*b + 2*s, 2*s - 1 = -b. What is the smallest common multiple of b and 3?
3
Let l = 7 - 4. Suppose h = l*h. Suppose h = 2*q + q - 18. Calculate the lowest common multiple of q and 10.
30
Let j b