5*h = 4*i + 15. Let m(v) = v**2 + 2*v - 1. Calculate the least common multiple of 8 and m(h).
8
Find the common denominator of (-56)/6 + 2/4 and -97/22.
66
Suppose -2 = 5*k + 8, 0 = 4*y - 3*k - 14. Calculate the least common multiple of (8/(-3))/((-3)/9) and y.
8
Let y = 44 + -30. Suppose -2 = f + u, -4*f = u - 0 - 7. What is the least common multiple of -5*24/(-20)*f and y?
126
Let q = -20 - -28. Suppose -16*t - 27*t = -516. Calculate the smallest common multiple of t and q.
24
Let a(n) = -49*n + 4. Let w be a(-4). Let y = w - 1447/7. Find the common denominator of y and -93/2.
14
Let w(h) = h - 1. Calculate the least common multiple of 14 and w(11).
70
Suppose 0 = -y - 2*y - 366. Let q = 75/2 - 181/5. Calculate the common denominator of 2/(-1) + y/(-12) and q.
30
Let p = 9 - 5. Find the common denominator of (-12)/6 + 99/(-60)*2 and 89/p*1/(-4).
80
Suppose r = -v - r + 24, 2*v + 2*r - 44 = 0. Calculate the lowest common multiple of 10 and v.
20
Let m = -7 + 12. Suppose 40 = m*r - d, 5*d - d = 5*r - 40. Calculate the smallest common multiple of 10 and r.
40
Suppose -4*a = 2*x - 32, 0 = -x - 0*x + a + 4. Let o = -8 + 18. Calculate the lowest common multiple of o and x.
40
Let y(u) = u**3 - 7*u**2 + 3. Let c be y(7). Suppose c = -h + 17. Calculate the smallest common multiple of 16 and h.
112
Let k(l) = -l**3 + 5*l**2 + 3*l - 6. What is the least common multiple of 67 and k(5)?
603
Suppose -3*x + 5 = -268. Let m = x + -121/2. Calculate the common denominator of -1*(-2)/(-32)*-53 and m.
16
Suppose 5*r + 36 = 56. Calculate the smallest common multiple of r and 9.
36
Let a = -4 - 37. Let b = a + 59. Let p = 49 - 29. What is the lowest common multiple of p and b?
180
Suppose -3*y = 4*k + 14 - 0, -y + 2*k = -12. Let f(i) = 4*i**2 + 2*i - 2. Suppose 8*n = 9*n - 12. Calculate the least common multiple of f(y) and n.
36
Find the common denominator of ((-5)/(-24))/((-20)/30) and (-8)/(-60)*726/16.
80
Suppose -3 = -2*w + 3. Suppose -3*c + 16 = 4*u - 4, w*u = -4*c + 15. What is the common denominator of -56/11 and c + (-119)/(-6) + 0?
66
Let u(x) = x**2 - 6*x + 6. What is the lowest common multiple of 8 and u(10)?
184
Let h = -939421/32 + 29360. Find the common denominator of h and 37/16.
32
Let b be 0 - -74*4846/4. Let a be 1/5 + b/(-30). Let m = a + 3006. What is the common denominator of 9 and m?
6
Suppose b - 2*d - 14 = 0, 7*b + 3*d - 24 = 4*b. Suppose b + 8 = 3*s. What is the lowest common multiple of s and 11?
66
Let m be 8/5 + (-2)/(-5). Suppose 0*z + w = 3*z - 94, 2*z - m*w - 60 = 0. Find the common denominator of -5/11 and z.
11
Let u be 1 + 2 - 5 - -4. Suppose u*f + 98 = 4*k, 4*f = -0*k - 2*k + 24. What is the smallest common multiple of 22 and k?
22
Suppose 0 = -43*z + 48*z - 70. What is the least common multiple of 4 and z?
28
Suppose 3 = -2*a + 13. Calculate the smallest common multiple of a and 9.
45
Let k be 6/(-18) + (-2182)/(-6534). Let v = k + 120863/26136. What is the common denominator of 17/4 and v?
8
Let j = 11 + -9. Suppose 3*g - j*z - 40 = 0, 15 = -g + 2*g - z. What is the smallest common multiple of 11 and g?
110
Let r(t) = -2*t - 1. Let n be r(7). Find the common denominator of 51/8 and (-452)/(-40) - (-3)/n.
40
Suppose 28 = 4*l + 7*d - 3*d, -2*l + 5*d - 21 = 0. Suppose l*m - 4*s + 1 = -1, 4 = 2*m - s. What is the smallest common multiple of 8 and m/(1/(-16)*-6)?
8
Let u = 4 - 2. Suppose 6*x - x - 90 = u*z, 3*x - 55 = z. What is the lowest common multiple of x and (-1 - 0)*2 - -22?
20
Calculate the smallest common multiple of 16 and (-2)/(-10) - (-312)/40.
16
What is the least common multiple of (-1 - (-4 + 1))*4 and 2?
8
Let v = 55/24 - 5/3. Calculate the common denominator of v and -19/5.
40
Let j = -8 - -11. Suppose 60 = 2*n - j*n. Calculate the common denominator of 1495/n + (-1)/3 and 59/12.
12
Let y be (0 + 3 - -1)*6. Suppose 2*f + 3*p - 39 = 0, 4*p = 4*f - y - 4. Let m = f - -4. What is the least common multiple of m and 6?
48
Let w(n) = n + 4. Let v(y) = -y**3 + 5*y**2 + y - 2. Calculate the lowest common multiple of w(2) and v(5).
6
What is the common denominator of -67/6 and ((-6)/45)/((-24)/2235)?
12
Let p(n) = n**3 - n**2 - 3*n - 4. Let l be p(3). Suppose 26 + 14 = l*x. Calculate the smallest common multiple of x and 8.
8
Let c = 299/2 - 189. Find the common denominator of c and (2/4)/(6/(-226)).
6
Calculate the common denominator of (1449/14)/((-3)/1) and -17/18.
18
Let n = 63 - 54. Calculate the lowest common multiple of n and 6.
18
Let b = 2339527/24 + -97450. Let s = 157/8 - b. Find the common denominator of s and 4/6*130/(-4).
3
Let o = 4 - 7. Let t = o - -5. What is the least common multiple of (4 - 6/t) + 3 and 9?
36
Let m be (0 + 3)*(-4)/6. Find the common denominator of (-622)/(-180) + m/5 and (1 - -177)*(-4)/80.
90
Suppose -x - 2*t = -22 + 4, 4*x - 111 = 5*t. What is the lowest common multiple of 15 and x?
120
Calculate the common denominator of (-1)/(28/(-69))*2 and -43/2.
14
Let i = 971137/14612 + -1/14612. Let k = i + -441/26. Calculate the common denominator of 13/2 and k.
2
What is the common denominator of -3/14 and ((-2)/4)/(-5 - 482/(-95))?
14
Suppose 5*v + 2*p = 100, -9*p + 33 = v - 6*p. Suppose 4*a + 4 = 76. What is the smallest common multiple of v and (a - -2)*(-2 - -3)?
180
Let k(r) = -r**2 - 10*r - 16. Suppose 0 = -5*i - 0*i - 25. Calculate the smallest common multiple of k(-7) and ((-2)/i)/(1/5).
10
Let t = -14 + 7. Find the common denominator of (-3 + t)/((-12)/(-11)) and -25/2.
6
Let h(s) = -s**2 - 2*s + 36. Calculate the lowest common multiple of 33 and h(-6).
132
Let h(c) = 2*c - 8. Let y = -9 + 15. What is the lowest common multiple of h(y) and 9?
36
Calculate the smallest common multiple of 28 and ((-176)/(-10))/(6/30*2).
308
Let b be 6 + (0 + 3)*1. Suppose r = b + 7. Calculate the lowest common multiple of r and 4.
16
Calculate the smallest common multiple of (-1)/(-3) - (-791)/21 and 10.
190
Let f be 10/25 - 8954/(-20). Let z = f - 449. Calculate the common denominator of z and 73/10.
10
Let m(q) = 4*q. Let s = 1 + -2. Let r be m(s). What is the common denominator of -137/18 and (158/(-14) - 1)/r?
126
Suppose 4*i = -b + i - 109, 0 = 5*b + 2*i + 584. Let x = -30 - b. What is the common denominator of 89/12 and (-890)/(-5)*(-2)/x?
132
Let m = -1594 + 3111/2. What is the common denominator of 149/18 and m?
18
Suppose 4*b + 42 = 2*n - b, n + 2*b - 12 = 0. Let l(f) = 11*f - 2. What is the least common multiple of l(2) and n?
80
Suppose -3*f = -0*f - 66. Let p(b) = -b**3 + b**2 + b + 4. Let g be p(0). Let m = 0 + g. What is the smallest common multiple of f and m?
44
What is the common denominator of 103/48 and 3/(-3) - 364/(-88)?
528
What is the lowest common multiple of 9 and (0 - 0/(-4))/2 + 8?
72
Suppose 3*h = 49 - 22. Calculate the lowest common multiple of h and 8.
72
Let o(s) = 4*s - 8*s + s**2 + 8*s - 2. Let u = 3 - 9. Calculate the least common multiple of 4 and o(u).
20
Let y be -2 - (4*33)/(-3). Suppose a = 4*a - y. What is the smallest common multiple of a and 14?
14
Let b = -369 - -2333/6. Let y = 964 + -4759/5. Calculate the common denominator of b and y.
30
Let s be (-3)/(-12) + (-286)/(-8). Suppose -4*c + s = -4. What is the lowest common multiple of 6 and c?
30
Let o(w) = -13*w - 8. Calculate the lowest common multiple of 24 and o(-2).
72
Suppose 0 = -4*u - 5*d + 26, 4*u + u - 5*d - 55 = 0. What is the smallest common multiple of 6 and u?
18
Suppose 3*c - r = 2*r - 6219, -5*c = 5*r + 10385. Let q = 119815 - 609486/5. Let f = c - q. Find the common denominator of 31/9 and f.
45
Let v be -2 + 198/(-620) - 2. Let o = v - 5/62. Calculate the common denominator of o and 28/(-10) - (0 + -2).
5
Let s = 27 + -9. Let o = s - 12. Let k = 1 - 0. What is the least common multiple of o and k?
6
What is the smallest common multiple of 2*2/(-4) - -3 and 9?
18
Suppose -2*w = -5*l - 16 + 141, 2*w - 105 = -5*l. What is the lowest common multiple of 2 and l?
46
Let t(m) = 5*m**2 + 4*m + 9. What is the least common multiple of t(-2) and 30?
210
Let g be (-54)/((-3)/(-6) + -2). Let b = -3933/4 - -974. What is the common denominator of -2 + -1 + 3/g and b?
12
Let g(b) = -2*b**3 + 0*b + b**3 - 3 - 3*b**2 + 3*b. Calculate the smallest common multiple of g(-4) and 8.
8
Let r(y) = -y**2 + 7*y - 