/22. Let f = 3792 + -83469/22. Find the common denominator of m and f.
22
Let y = 3 + 0. Suppose 0 = 3*i + y*i - 24. Calculate the least common multiple of i and 10.
20
Suppose 2*p + 72 = -2*p. Let o = -6 - p. Calculate the smallest common multiple of 8 and o.
24
Find the common denominator of (-3 - -1 - -4) + (-85)/26 and -52/9.
234
Let m = -1/3196 + 242899/9588. Calculate the common denominator of 11/18 and m.
18
Suppose 4*p + 45 = 3*g + 110, -p - 1 = 0. What is the common denominator of 3/(-8)*g/3 and 43/22?
88
What is the common denominator of -39/28 and (3*10/(-99))/((-7)/63)?
308
Suppose 6*x - 36 = 2*x. What is the lowest common multiple of 5 and x?
45
Suppose -4*d + 138 = 3*s, -2*s = -4*d - 29 + 157. Calculate the lowest common multiple of d and 30.
330
Let w be (-4)/67*302/(-20). Let a = w - 1/670. What is the common denominator of a and -59/3?
30
Find the common denominator of 63/8 and (-52)/143 + (-2)/(-8).
88
Let f = 7 - 27. Let q be (-64)/f*(-220)/2. Find the common denominator of 77/12 and (-4)/(-22) + 2066/q.
48
Suppose -1 = -5*v + 24. Let i be (-1 - 134)*-1*1. Suppose -2*r = -v*r + i. Calculate the common denominator of -21/4 and r.
4
Let o = 31491/8 + -3926. Find the common denominator of -123/20 and o.
40
Let j = -12381/3664 - 42/229. Find the common denominator of (-735)/108 + 8/(-32) and j.
144
Let n(y) = -2*y**3 - y**2 + 6*y + 5. Calculate the least common multiple of 9 and n(-2).
45
Suppose -2*r = -2*m + 2, 2*m + 4*r + 0*r - 8 = 0. What is the smallest common multiple of 8 - (3 - (2 - -3)) and m?
10
Let c = -2 + -8. Let x be ((-8)/c)/(1/15). Suppose x = 5*l + 2. What is the lowest common multiple of 7 and l?
14
Let y = -2152 - -5188. Let z = y - 18175/6. Calculate the common denominator of 2/7 and z.
42
Let b = -38/15 + 26/15. Find the common denominator of b and -73/50.
50
Let y = 17 + -11. Suppose j = y*j - 5. Calculate the least common multiple of j and 10.
10
Let h = 5 + -3. Suppose 0 = h*t + 1 - 9. Let k = 16 - 10. Calculate the smallest common multiple of t and k.
12
Let z(x) = 2*x**2 + 5*x + 2. Let p be z(-3). Let h = 7 - p. Calculate the smallest common multiple of h and 6.
6
Let x = -68751/22 + 3124. Let p = -10/1259 + -89229/20144. What is the common denominator of p and x?
176
Suppose -2*j + 8 = 4*w, -4*j + 32 = 5*w - 7*j. Suppose -2*q = 6*v - 2*v - 16, -3*q = -2*v + 8. What is the least common multiple of w and v?
4
Let h(i) = i**3 + 7*i**2 + 4*i + 2. Let d be h(-3). Let s = d + -18. What is the lowest common multiple of s and 10?
40
Suppose 0 = p + 7 - 11. What is the smallest common multiple of p and 9?
36
Let r(h) = -h**2 - 7*h + 8. Suppose 0 = 4*s + 9 - 81. What is the least common multiple of s and r(-6)?
126
Let d = 40025/5052 + -5/842. Find the common denominator of d and (2/(-12))/(9/87).
36
Suppose 0 = 5*l + 28 - 8. Let g = l - -3. Find the common denominator of -1 - g/(20/26) and -67/2.
10
Let z = -609 - -3077/5. Find the common denominator of z and -47/3.
15
What is the common denominator of (-375)/36 + (-6 - -10) and -65/22?
132
Let m = 4228/3 + -1424. Let h = 2/1605 - -36899/12840. Calculate the common denominator of m and h.
24
Let h(a) = -a**2 + 8*a - 4. Let w be h(7). Suppose w + 1 = n. Find the common denominator of ((-4)/66)/(n/144) and 71/6.
66
Calculate the common denominator of 57/20 and (1570/(-36))/5 + 6/12.
180
Find the common denominator of -14/9 and (1 - -2) + 12 - -4.
9
Find the common denominator of (-15)/5 - (-4 + (-86)/(-24)) and 107/152.
456
Suppose 3*r = 2*r + 14. Suppose -2*j = 2*m + m - r, -5*m + 2*j + 18 = 0. Let h(d) = 6*d**3 + d**2 - d + 1. Calculate the least common multiple of h(1) and m.
28
Calculate the smallest common multiple of ((-5)/10)/(1/(-22)) and 2/6 + (-17)/(-3).
66
Calculate the common denominator of (86/(-6))/((-200)/(-60)) and -83/4.
20
Let u(j) = -5*j**2 + 2. Let b(x) = -4*x**2 + 1. Let i(v) = 6*b(v) - 5*u(v). Let f = 53 + -49. What is the least common multiple of f and i(-4)?
12
Let z(t) = 9*t**2 + t - 2. Suppose 4*l + 10 = 5*l. Calculate the least common multiple of z(1) and l.
40
What is the common denominator of -9/4 and 126/(-16) - 1/((-2)/(-6))?
8
Find the common denominator of -103/12 and 3 - (3 - (-92)/(-64)).
48
Suppose 0 = -u + 1 - 0. Calculate the smallest common multiple of 14 and u.
14
Suppose 0 = 5*w - 2*w - 9. Suppose 0*z = -2*z + 20. Calculate the lowest common multiple of z and (-16)/(-6)*(w - 0).
40
Suppose -2*r = -1316 - 1138. Let l be (-9863)/(-16)*(-13 - -15). Let x = r - l. Find the common denominator of x and -15/2.
8
Let s(i) be the first derivative of 6*i**3 - i**2/2 + 1. Let h be s(-1). Let u = h + 3. Calculate the smallest common multiple of 10 and u.
110
Let j = -2/391 + -6629/3519. Let x be 6/(-27) + (-14722)/90. Let t = x + 1609/10. Find the common denominator of j and t.
90
Let f = -5 + 7. Let r = 41 - 12. Suppose -5*z = -2*v + 16 + 9, r = v + 3*z. Calculate the lowest common multiple of v and f.
20
Let q(c) = 6*c**2 + 3*c + 3. Calculate the least common multiple of q(-1) and 12.
12
Suppose 0*f - 3*d = -f - 9817, -5*f = d + 49069. Let b = -117919/12 - f. Let w = 14/899 + -58631/12586. What is the common denominator of w and b?
84
Suppose 3 = 6*o - 3. Calculate the least common multiple of o and 2.
2
Let q = 15 + -9. Calculate the common denominator of (-2)/q + 506/60 and -50/7.
70
Suppose 4*b = -0*b + 24. Calculate the lowest common multiple of 3/12*4*5 and b.
30
Let k(i) be the first derivative of i**4/4 - i**3 - 3*i**2/2 - 1. Suppose -r + 0*r + 4 = 0. Calculate the smallest common multiple of 6 and k(r).
12
Let q = -40 + 60. Calculate the lowest common multiple of 10 and q.
20
Let t = -11 - -18. What is the least common multiple of t and 37?
259
Let n be ((-4)/(-10))/((-7)/(-560)). Calculate the common denominator of (-21)/(-20) + (-24)/n and -27/11.
110
Calculate the common denominator of (97/70)/((-17)/5 - -3) and 11/12.
84
Suppose 0 = -0*g + 4*g - 24. Let m = -4 + g. Suppose 5*d + 5*r = 35, m*r + 2*r = 5*d + 10. What is the smallest common multiple of d and 7?
14
What is the common denominator of ((-3)/2)/(18/189) and -49/16?
16
What is the common denominator of 73/16 + 1/2 and 13/10?
80
Let i = -9321 - -932131/100. Let c = -308/75 - i. Calculate the common denominator of c and 39/20.
60
Suppose -4*l + 54 = 5*b, 0*l = l - 1. Suppose 0 = -3*v - v + t + 88, 2*t = 2*v - 44. What is the lowest common multiple of v and b?
110
Let a = -37829144383/43246038 + 4/655243. Let w = -2629/3 - a. What is the common denominator of w and (2 - (-81)/(-20)) + -2?
220
Suppose 2*r + 7 = 3*g - 4, 0 = -3*g + 3*r + 6. Let a = g + -5. Suppose -a*d + 6 = -0. What is the lowest common multiple of d and 6?
6
Let o = -168451/12 + 14046. Calculate the common denominator of o and 111/110.
660
Suppose 5*i + 17745 = -0*i. Let h be 6/(-18) + (-1177)/i. Let l = h - -34319/7098. Calculate the common denominator of l and 57/10.
30
Let z = -6 - -2. Let w(c) = -c**2 - 5*c - 1. Let v be w(z). Suppose v*d - d - 10 = 0. Calculate the least common multiple of d and 11.
55
Suppose g + 21 = 4*g. Suppose 0 = -j + 5 + 3. What is the lowest common multiple of g and j?
56
Suppose 0 = -3*c + 3*j - 12, 0 = -4*j - 4 + 16. Let a = 0 + c. Let p = 0 - a. What is the lowest common multiple of 1 and p?
1
Let g = 14293/3256 - 6/407. Let w = -36455/6 - -6093. Calculate the common denominator of g and w.
24
Let d(o) = o**3 - 5*o**2 - 4*o - 4. Let i be d(6). Calculate the common denominator of (-102)/(-40) + 1/(-5) and i/32*(-380)/14.
140
Let s(t) = t - 6. Let j be s(9). Suppose w - 36 = -5*o, 17 = j*o - 5*w + 1. Let n = 11 - o. What is the smallest common multiple of 18 and n?
36
Suppose 4*x - 14 = 2. Let w = -21 + 24. Suppose -3*d + 5*d - 14 = -4*h, -d = -w*h + 8. Calculate the least common multiple of x and h.
12
Suppose -w - 4 + 14 = 0. Let v(s) = 14*s - 4. Let k be v(5). Calculate the smallest common multiple of k/8 + 2/(-8) and w.
40
Suppose 2*d = 4*d - h - 25, -3*d + 30 = -3*h. Calculate the smallest common multiple of 3 and d.
15
Suppose 3*u - 2*u = 0. Find the common denominator of 34/3 and 183/6 - (u + -1).
6
Suppose 1 = g - 0*o + o, -2*g + 3 = o. Suppose g = 3*x + 2*q, 0 = -4*x - 4*q - 4. What is the smallest common multiple of 18 and x?
36
What is the common denomi