8253/65633380. Let i = r + 1344/29. Calculate the common denominator of i and -95/4.
20
Let d = -11547/10 + 1161. Calculate the common denominator of d and 30.
10
Let k be ((-6)/(-4))/((-9)/(-24)). Suppose 3 + 5 = k*g. What is the smallest common multiple of g and 0 - ((-6 - -2) + 3)?
2
Let g = 1839/1232 - -15/77. What is the common denominator of g and -75/28?
112
Let r = 1816 + -3719/2. Calculate the common denominator of r and 17/64.
64
Let w = 4466 + -120599/27. What is the common denominator of -55/3 and w?
27
Calculate the common denominator of -85/4 and 94/(-44) + (-2)/1.
44
Let q(y) = -8*y + 2. Let k be q(-6). Suppose 0*g + d = -3*g + k, 62 = 4*g - d. Calculate the lowest common multiple of g and (-1)/5 + (-273)/(-15).
144
Suppose 3*z - 28 = o, -z - 2*o + 14 = -0. Let m = z - 14. Calculate the common denominator of -85/8 and ((-31)/16)/(3/m).
24
Let o = 44 + -33. What is the least common multiple of o and 2?
22
Suppose -5*x = 26 - 161. Suppose 3*r - x = 2*i + i, -8 = 4*i. Calculate the lowest common multiple of 10 and r.
70
Suppose 15*d - 1424 = -299. What is the lowest common multiple of 11 and d?
825
Let z(x) = x**3 + 6*x**2 - 2*x - 4. Let q be z(-6). Let k = 23 + -21. What is the common denominator of -1 + k - 348/q and -19/9?
18
Suppose -5*d - 39 = -4*p, 0*p = 5*p - 5. Suppose 4*c = 2*c. Let z = c - d. What is the lowest common multiple of z and 5?
35
Suppose 3*h - 60 = -5*p - 2*h, p + 2*h = 12. Find the common denominator of (-1014)/(-28) - p/(-42) and 37/2.
2
Suppose -7*k + 120 = -34. Calculate the least common multiple of k and 20.
220
Let r(w) be the first derivative of -w**2/2 + 11*w + 1. What is the least common multiple of r(5) and (-10)/((0 - 1) + -1)?
30
Let k = 318662/35805 + 1/14322. Let w = -23624 + 3638205/154. Let y = 30/77 - w. What is the common denominator of k and y?
110
Suppose 0 = -3*v + 275 + 109. Calculate the least common multiple of 22 and 3*(v/12)/4.
88
Suppose -2*j - 2*j = -80. Let a = -2 + 1. Let w(l) = 7*l**2 - 1. What is the lowest common multiple of j and w(a)?
60
Suppose 0 = 4*h - 24 - 0. What is the least common multiple of (-1 - -1) + 6 - 2 and h?
12
Let l = 1955/504 + -1/252. Calculate the common denominator of l and -1/5.
40
What is the common denominator of -3*25/44 + 0 and -15/8?
88
Let l = -44819/154 + 2028/7. Let s = 1/12 - 1/84. Find the common denominator of l and s.
154
Let k = 4113/10 - 410. Calculate the common denominator of k and 79/2.
10
Let w = 16 - 10. Suppose -4*b + 8 = 2*v, 3*b + 1 - 2 = v. Suppose j - 3*k + 0 = 9, 2*j = -4*k - v. Calculate the least common multiple of j and w.
6
Let c(r) = -r**3 - 7*r**2 - 5*r + 9. Let a be c(-6). Calculate the common denominator of a - 3*(-25)/(-2) and ((-22)/64)/((-2)/8).
8
Suppose -2416 = -5*n + 279. Let r = -992/3 - -334. Find the common denominator of (-4)/(-14) + 42/n and r.
33
Let r(f) = f**2 - 4*f - 5. Let u be r(5). Suppose -9 = -2*l + 4*z + 13, l - 4*z - 21 = u. Calculate the least common multiple of 4 and l.
4
Let r(i) = 20*i. Calculate the smallest common multiple of r(1) and (-5)/(-2)*((-95)/25 + 7).
40
Let g = -224305/6 + 30498127/816. Let d = g + 184/17. Find the common denominator of d and 57/8.
16
Find the common denominator of 13/65 + 862/240 and -77/4.
24
Find the common denominator of -69/4 and ((-10)/21)/((-8)/(-114)).
28
Suppose 12 = -17*q + 18*q. Calculate the lowest common multiple of q and 6.
12
Let q(v) = -v**3 + 8*v**2 + v + 1. What is the lowest common multiple of q(8) and 9?
9
Let d = 10225563/8 + -1275396. Let g = -2804 + d. Calculate the common denominator of g and 63/5.
40
Let b be (-17)/(-2) - (-2)/4. Find the common denominator of -13/11 and 12/22 - (b - 12).
11
Let d be (-4)/14 + 208/(-7). Calculate the common denominator of 101/20 and ((-23)/(-6))/(d/(-9)).
20
Let s = -3974 + 83471/21. What is the common denominator of s and -74/3?
21
Let g = 15 + -6. Let b = 17 + -6. What is the smallest common multiple of b and g?
99
Calculate the smallest common multiple of 7 and 10/8*(5 - (-2 + -5)).
105
Let j be 10/(-3) + 3/9. What is the common denominator of (5/j)/(5/(-65)) and 63/4?
12
Let l = 1803/7 + -257. Suppose 5*t - 490 = -5*t. Calculate the common denominator of t and l.
7
Let l(q) = 3*q + 24. Calculate the lowest common multiple of l(0) and 12.
24
Let f = 250539/28 + -8949. Calculate the common denominator of f and ((-5)/(-25))/(4/(-205)).
28
What is the smallest common multiple of 20 and (-8 - (-40)/6)*258/(-4)?
860
Let n = 24 - 14. Let x be 65/5 - (-3)/1. Let z = x - 8. What is the lowest common multiple of z and n?
40
Let p = 2 - 0. Calculate the smallest common multiple of 4/(-10) - (-184)/10 and p.
18
Let b = 195655/18 + -10874. What is the common denominator of 139/12 and b?
36
Let t be (-33)/6 + (-4)/8. Let n = 10 - t. Calculate the smallest common multiple of n and 8.
16
Let g = 21 + -37. Suppose -2*a = -6*a - 88. Let c = g - a. What is the smallest common multiple of 2 and c?
6
Suppose 5*k - 4*f - 48 = 0, -2*k - 2*f = -4*k + 18. Let h be (0 + -3)/((-6)/(-4)). What is the lowest common multiple of k and (-2)/(0 - h)*-14?
84
Let a(r) be the first derivative of r**3/3 + 7*r**2/2 + 8*r - 3. Calculate the least common multiple of 16 and a(-7).
16
Let b = 82061/16 + -5127. Calculate the common denominator of b and -7/6.
48
Let g = -8471701/6885 + -196/1377. Let u = g - -1239. Find the common denominator of 81/8 and u.
40
Let z(r) = -5*r**2 + r**3 - 2*r + r - 5*r + 6. Suppose -o - 4*o + 40 = 0. Calculate the smallest common multiple of z(6) and o.
24
Let g(t) = t**2 + 11*t + 11. Let q be g(-10). Let v = 20 + q. Find the common denominator of (v/22 - 1)*-74 and 52/5.
55
Suppose 3*p - q - 24 = -5*q, p + 4*q = 16. Calculate the least common multiple of 7 and p.
28
Let k(c) = -c + 16. Let s(n) = n - 2. Let m be s(12). What is the least common multiple of 16 and k(m)?
48
Let d = 4 - 5. What is the common denominator of (29/5)/(1*d) and 19/6*2*1?
15
What is the smallest common multiple of 8 and (-44)/(-3) + (-6)/9?
56
Let h = 283271915335/1036 - 273428464. Let o = h - 852/37. Find the common denominator of o and -21/20.
140
What is the lowest common multiple of 22 and 1/(2/24*3)?
44
Let l = 2983/210 - 48/35. Let y = 232277/22 + -10562. Calculate the common denominator of y and l.
66
Suppose -5*j = 4*q - 237, -6 = -j + 5*q + 24. Calculate the smallest common multiple of 35 and j.
315
Suppose -2*p + 9*p = 42. What is the smallest common multiple of 20 and p?
60
Let k = 63 + -55. Calculate the lowest common multiple of k and 23.
184
Let x be (-2)/(-4) + (-25)/10. Find the common denominator of x/(-5)*(-2180)/(-48) and 53/14.
42
Let y be -25 - 3/(3/(-1)). Let o = y - -49. Suppose -5*x - b = -0 - o, 0 = -2*x + 3*b - 7. Calculate the lowest common multiple of 4 and x.
4
Let y(a) = a**2 + 8*a + 3. Let j be y(-7). What is the common denominator of 36/11 and (-316)/14*1/j?
154
Suppose -2*u - 3*u - 40 = 0. Let z be 2/8 - (-74)/u. Calculate the lowest common multiple of 2 and ((-6)/(-4))/(z/(-24)).
4
Let y = 3/854 - 20711/427. Find the common denominator of 435/120 + (-1 - -1) and y.
8
Calculate the common denominator of 117/10 and 134/(-4) + (-5 - -9).
10
Let l(o) = -6*o + 2. Calculate the smallest common multiple of l(-1) and 8.
8
Suppose -3*m - 3 = -12. Calculate the least common multiple of (-1)/(-2)*m*2 and 14.
42
Suppose 3*f = 2*k + 7 + 12, 21 = 2*f - 3*k. Suppose 3*b - f - 3 = 0. Calculate the lowest common multiple of 10 and b.
10
Let v = -206 + 376. What is the least common multiple of v and 12?
1020
Let c = 556 + -2275/4. Calculate the common denominator of ((-710)/75*-5)/(4/(-1)) and c.
12
Let v(m) = m + 1. Calculate the lowest common multiple of 20 and v(5).
60
Calculate the common denominator of -57/20 and -2 + (-21)/(-30) + 3 + -6.
20
Let d = -73/230 - -2/115. Find the common denominator of 4 + -1 + 52/28 and d.
70
Suppose -33 + 89 = 4*h. Let m = 20 - h. Calculate the smallest common multiple of 2 - (6/3)/(-2) and m.
6
What is the common denominator of 4/(-4)*47/(-18) and 137/12?
36
Suppose -25 = -5*c + 5. Suppose -j - 5*g + 8 = -24, 0 = 2*j + 3*g - 50. Calculate the least common multiple of j and c.
66
What is the least common multiple of -1*30/(-7) + (-2)/7 and 4?
4
Let n = 1090 + -25084/23. Let l = n - -11