 + 52. What is the least common multiple of c and 9?
18
Let j = 1019 - 5089/5. Let l be ((-16)/(-6))/((-3)/18). What is the common denominator of (-98)/l + 1 + -2 and j?
40
What is the common denominator of 5 - (219/(-54))/((-228)/252) and 89/190?
570
Suppose 0 = -d - 3*n + 31, -5*d + 4*n = 8*n - 144. Calculate the common denominator of 43/14 and 2 - 1/d*-118.
14
Let v(i) = 162*i + 2. Let c be v(-5). Find the common denominator of -27/10 and (c/96)/((-2)/8*-6).
90
Suppose y - 2*l = 20, 2*l + 44 = 3*y + 4. What is the smallest common multiple of y and 10?
10
Let m(r) = 765*r + 7. Let f be m(2). Let u = f + -12351/8. Find the common denominator of 5/8 and u.
8
Calculate the lowest common multiple of 72 and 1/((39/216)/13).
72
Suppose 3 = -2*d + 9. Suppose -2*f + 4*a + 2 = -2, -d*a = 3. Suppose -5*z + 65 = -f*i + 5*i, -i + 15 = 3*z. Calculate the least common multiple of i and 16.
48
Let y be 0/(-5)*-1 + 85. What is the common denominator of (2/4)/(8/22) and 112/32*y/(-21)?
24
Let r = 1090 + -357527/328. Find the common denominator of -81/8 and r.
328
Let a = 1/10301 + -1493651/61806. Let o be (32140/(-66))/(44/(-33)). Let z = 365 - o. What is the common denominator of a and z?
66
Find the common denominator of -9/55 and (12/(-9))/((-12)/(-141)).
165
Suppose -4*z + 0 = -8. Suppose -18 = -n - z*n. Let u(l) = -4*l - 2. Calculate the lowest common multiple of u(-1) and n.
6
Find the common denominator of ((-39)/10)/(1728/1800) and -73/490.
3920
Let x(y) = 4*y + 1. Let t be x(1). Suppose 0 = -3*f + t*s + 32, 5*s + 67 - 21 = 4*f. Let p = 123 - 118. Calculate the smallest common multiple of p and f.
70
Let v(t) = -2*t**3 - 27*t**2 + 15*t + 21. Calculate the least common multiple of v(-14) and 18.
126
What is the common denominator of 99/76 and 1/(-3 - 774/(-262))?
228
Calculate the common denominator of 83/(-27)*(2060/120 + -17) and -89/144.
1296
Let u = -332 + 341. Suppose -p - p + 2 = 0. What is the lowest common multiple of p and u?
9
Let j(l) = -l**3 + 55*l**2 - l + 63. Calculate the smallest common multiple of 462 and j(55).
1848
Suppose -13 = -6*u + 5. Calculate the smallest common multiple of 7 and u.
21
Suppose 9058 = -13*y - y. Let l = y - -12937/20. What is the common denominator of -41/4 and l?
20
Let c = 24 + -4. Suppose 506 = 9*m + c. Suppose -h - 2*h = -m. Calculate the lowest common multiple of 2 and h.
18
Let h = -11 - -21. Suppose -m - 1 = -k, 5*k + 0*m = -m + 23. What is the smallest common multiple of h and 6/(2/(-1)) + k?
10
Let q = 552809/63 - 8775. Calculate the common denominator of q and -19/35.
315
Let s = 222 + -92. Suppose -3*i - s = -16*i. What is the smallest common multiple of 36 and i?
180
Let v be ((-67)/6146)/((-4)/(-14723)). Let u = v + 1/3073. Let y = u + 2041/40. Find the common denominator of y and 52/7.
70
Suppose 2*j - 3 = -3*h - 7, -3 = h + j. Suppose 4*w - h*w - 18 = -2*i, 3*i - 5*w - 3 = 0. Let c = -2 + 10. What is the smallest common multiple of i and c?
24
Suppose 50 = -4*b - f + 3*f, 0 = -2*b - f - 31. Let x = b + 24. Let t = 15 + -7. What is the least common multiple of x and t?
40
Let d(l) = 37*l**2 - 2*l + 3. Suppose -8 = 2*p - 4*b + 2, -2 = -2*b. Let f be d(p). Let a = 1361/4 - f. Calculate the common denominator of a and 2/9.
36
Suppose -2*x + 6*x = 16. Suppose 3*z - x*z - s = -7, -5*s = 2*z - 29. What is the lowest common multiple of 44 and z?
44
Suppose -14*y = -15*y - 3. Let c = y - -12. Calculate the least common multiple of 18 and c.
18
Let f = -172 - -178. What is the lowest common multiple of 22 and f?
66
Let h = -19421 - -407927/21. What is the common denominator of 7/94 and h?
1974
Let y = 15 + -10. Suppose 3*l = y*s - 30 + 101, -5*l + 3*s + 145 = 0. Calculate the lowest common multiple of l and 16.
32
Let h = 45769/90 + -2523/5. Let g = 7996/459 + -276/17. Find the common denominator of g and h.
54
Let j be (470/(-6))/((-9)/(-5) - 2). Let a = 388 - j. Calculate the common denominator of -53/33 and a.
33
Let x(q) = q**2 - q - 5. Let f be (-210)/(-55) + 2/11. Let n be x(f). Suppose -k = -2*k + n. What is the smallest common multiple of k and 13?
91
Let t = 5722/5 - 1148. Calculate the common denominator of t and -43/25.
25
What is the common denominator of (2 + 438/(-54))*-1 and 56/75?
225
Let d = 1663/5368 - 7/488. Let x = 6961/1010 + 4/505. What is the common denominator of d and x?
220
Let b be 32848/(-7) + (-6)/14. Let u = -28259/6 - b. Calculate the common denominator of 16/3 and u.
6
Let a be ((-4)/(-6))/(797/3). Let q = -459645429549/1594 - -288359727. Let k = a + q. Find the common denominator of -103/10 and k.
10
Suppose 8*t + 36 = 20*t. What is the smallest common multiple of 7 - (-2)/((-4)/(-6)) and t?
30
What is the smallest common multiple of (-206)/(-13) - (50/(-65))/5 and 88?
176
Let v(y) = -y**3 - 11*y**2 - 11*y - 36. Calculate the least common multiple of 20 and v(-12).
240
Let x = 148 - 118. What is the smallest common multiple of 135 and x?
270
Let v be (40/(-30))/(4/(-36474)). Suppose 5*i - 46543 = -v. Find the common denominator of -53/5 and 2/(-10) - i/(-1035).
45
Let l be ((-2)/(-4))/((-4)/(-48)). Calculate the common denominator of 131/70 and (l - 1) + (-1965)/240.
560
Let v(x) = 15*x**3 + x. Let g be v(1). Suppose -3*w + 27 = 2*n, 0 = 3*n - 2*w - 18 - g. Let c = 4069 + -4059. Calculate the smallest common multiple of n and c.
60
Let a(w) = -2*w + 1. Let t be a(-1). Suppose u - 2*d = 36, 2*d = 5*u + t*d - 147. Suppose 5*z - u + 0 = 0. Calculate the smallest common multiple of z and 4.
12
Suppose -v - 4*f = -3*f, -3*f = 6. What is the lowest common multiple of 6 and ((-660)/54 - v/(-9))/(-1)?
12
Let o be 3 - 4 - (4 + -1). Let s be 4/(-8) + (-14)/o. What is the smallest common multiple of 18 and (-24)/s*(-35)/14?
180
Let p be 6522/(-4) + 2/4. Let n be (-8)/p*(10 + -30). Let y = -10429/1630 - n. Find the common denominator of y and -5/2.
10
Let y(s) = s**2 - 10*s - 6. Let m be y(11). Suppose 10 + m = 5*f. What is the least common multiple of 18 and (-3 + f + -4)*-1?
36
Suppose 0 = l - 0 + 5. Calculate the common denominator of 10/l - (-150)/4 and -38/7.
14
Find the common denominator of (-9)/18 - 46/7 and ((-259)/84 - (1 + 0)) + 2.
84
What is the lowest common multiple of 42 - 0 - (0 + 0) and (-10)/(-12) + 2032/96?
462
Let y = -849/136 + 274/17. Let i = 53 + -84. Let q = 179/6 + i. What is the common denominator of y and q?
24
Let z = 132 - 247/2. Let m = -725/7 + 12427/126. Calculate the common denominator of m and z.
18
Find the common denominator of (-1650)/180*(4/5)/(-2) and -87/2.
6
Let a = 5860 - 82083/14. Let w = 3006 - 23965/8. What is the common denominator of a and w?
56
Let o = -34949/11 - -338801/66. Let t = o - 1966. Let p = 76/7 + 165/28. What is the common denominator of t and p?
12
Suppose 1430 + 157 = 23*p. What is the smallest common multiple of 345 and p?
345
Let r(k) = -k + 2. Let w be r(-18). Calculate the common denominator of -65/2 and 13/(-5) + w + -17.
10
Suppose 76 = 4*i + 5*q, 53*i = 49*i + 4*q + 112. Suppose -j = 3*j - 24. Calculate the least common multiple of j and i.
24
Let z = 2081/4 - 523. Let o be -1 - 12/(-424)*-441. Let p = 1/53 - o. What is the common denominator of p and z?
4
Calculate the common denominator of 178/4*12/36 and -5 - ((-4676)/(-72))/(-7).
18
Let u = 53 + -44. What is the lowest common multiple of 135 and u?
135
Suppose -3*w = 200 - 221. What is the least common multiple of w and 5?
35
Let b(y) = 4*y - 18. Suppose 0 = x + h - 3, 5*x - 30 = 2*h + 6. What is the lowest common multiple of 33 and b(x)?
66
Let h = 34793/20 + -1738. Calculate the common denominator of h and -37/72.
360
Let x = -51 + 95. Suppose -4*y = 4*v - x, -4*v - y + 50 = -3*y. Suppose 0 = -7*p + 26 + 16. Calculate the lowest common multiple of v and p.
12
Suppose 20*m - 98 = 42. Calculate the lowest common multiple of m and 3.
21
Find the common denominator of 29/9 and ((-6)/(-208))/((-1077)/(-180) - 6).
234
Suppose 141 = -l - o - 2*o, -5*o = 15. Suppose -3*z = -4*z + 14. Calculate the lowest common multiple of z and (-22)/l + 430/12.
252
Let u be (3 - 27/6)*138/(-9). Let v(m) = -m**2 + 23*m + 6. Calculate the smallest common multiple of v(u) and 3.
6
Let a(m) = m**2 - 10*m - 15. Let i(s) = -7*s - 16. Let f be i(-4). Calculate the least common multiple 