j. What is the common denominator of (-1194)/(-480) + p/5 and -25/2?
16
Suppose -13*o = -14*o - 917. Let f be 0 + -2 - o/130. Let g = 8/455 + f. What is the common denominator of g and 79/6?
42
Let p be (39/2)/(0 - (-1)/(-2)). Let l = p - -71. What is the lowest common multiple of 12 and l?
96
Let j(y) = y**2 - 5*y + 12. Let i = 9 + 3. What is the lowest common multiple of i and j(6)?
36
Let g be (2078499/15308027)/((-4)/(-110)). Let a = -3/59914 + g. Let l = a - -9/73. Calculate the common denominator of l and -11/8.
56
Let z(s) = s**3 + 15*s**2 - 38*s + 40. What is the lowest common multiple of 33 and z(-17)?
1188
Let r = -6226 + 87069/14. What is the common denominator of r and -37/77?
154
Calculate the common denominator of (-8)/(-132)*(-450)/(-32) and 2/9 + 460/144.
264
Let y(r) = r + 2. Suppose 0 = -5*a - 15 - 65. Let p = a + 24. What is the lowest common multiple of p and y(2)?
8
Let v = 15 + -51. What is the least common multiple of 110/9 - (-8)/v and 9/(-6)*8/(-6)?
12
Let b be 6784/5960 - (-2)/(-5). Let p be (-1)/5 - 322145/89400. Let o = p - b. What is the common denominator of o and 41/14?
168
Let c(b) = 100*b**2 - 3*b - 1. Let m be c(-1). Calculate the common denominator of 17/m + (-134)/6 and 2/(-8) - (-146)/56.
42
Let p be 3 - (6 + -3) - -8. Suppose 0 = -3*u - 3*k + p*k + 42, 5*u - 70 = -2*k. Let t = u + -8. What is the smallest common multiple of 1 and t?
6
Let r = 426/29 + -16389/1015. What is the common denominator of -89/28 and r?
140
Let u be -4 - -6 - (1 - 4). Suppose -u*w - 1 = -4*c - 56, w + 16 = -c. Let b = 17 + c. What is the least common multiple of b and 7?
14
Let o = -2972778 - -89171579/30. Let v = -392 - o. What is the common denominator of v and 79/33?
330
Let p be (30 - (-1 - -1)) + 8 + -7. Let v = p - -1. What is the smallest common multiple of v and 6?
96
Suppose -5*x = 5*q - 540, 0 = -2*x - 0*x - q + 219. Calculate the least common multiple of x and 24.
888
Suppose 5*a + 2*z - 217 = 0, -a + 50 = -5*z - 15. Find the common denominator of (-5)/(210/637) - 5/(-1) and a/22 + (1 - -1).
66
Let h(n) = -n**3 + n**2 + 6*n + 4. Let k be h(-2). Calculate the common denominator of 13/3 and k/(-14) - 1908/(-210).
15
Suppose d = -2*l + 363, -d = -l - 226 - 128. What is the least common multiple of d and 3?
357
Let w(x) = 390*x**2 - 2*x. What is the lowest common multiple of w(-1) and 77?
4312
Let w = -12/1463 - 22004/171171. Let t = 4733/468 - w. Calculate the common denominator of t and 55/8.
8
What is the lowest common multiple of 1*-2 + (-11 - (-63 - -5)) and 105?
315
Suppose -4*d + 13 + 15 = 0. What is the smallest common multiple of ((-38)/5)/((36/(-30))/3) and d?
133
Let u = 426815/34 - 12551. What is the common denominator of 49/16 and u?
272
Let i = 48110351 + -34350776941/714. Let o = i + 2/119. Find the common denominator of 38/5 and o.
30
Find the common denominator of -26/587 and (-947)/(-44) + (-156)/572.
2348
Let p = 1433 - 1381. Calculate the least common multiple of p and 32.
416
Let w = 772 + -3694/5. Let v be (-36)/(-240)*(-769)/3. Let f = v + w. What is the common denominator of 18/5 and f?
20
Let a(s) = 20*s - 7. Let w be a(2). Find the common denominator of (-6)/33 + (-654)/w and 83/10.
10
Let m = -228 + 232. What is the smallest common multiple of 1 and m?
4
Let j(x) be the first derivative of -x**3/3 - 5*x**2/2 + 3*x - 4. Let d be j(-9). What is the common denominator of (-3)/(d/13) + 3 and -115/6?
66
Suppose 0 = 3*i + z - 12, 3 = -i + 3*z - 3. Calculate the common denominator of (164/20)/((-36)/(-15))*i and 7/16.
16
Let a be (-1 + 10)*(-20)/30. What is the lowest common multiple of 14 and ((-30)/(-4))/(a/(-24))?
210
What is the common denominator of ((-2)/(-13))/((-4)/(-102)) and (33/231)/(3 - 1495/497)?
52
Let j = 131 + -107. Calculate the smallest common multiple of j and 12*((-16)/(-6))/2.
48
Suppose -k = k - 6. Suppose 0 = -k*s + 30 + 6. Suppose -11*q = -131 - 1. What is the least common multiple of q and s?
12
Let j = 942702525210303/100111228468916 - -1/8657145319. Let c = j + 1/8673. What is the common denominator of c and -29/8?
24
Let x = 8174 - 8171. Suppose -h + 0 = -4. Suppose -k = h*k - 35. What is the lowest common multiple of k and x?
21
Let r be -16*((-4)/16)/(1/(-8)). Find the common denominator of -3 - (-20)/(-18)*12/r and -88/21.
84
Calculate the common denominator of (-598)/207*(-1 - 46/(-16)) and -6 + 2 - -47*(-3)/(-30).
60
Suppose 0*c = 4*c. Suppose c = -p + 1 + 4. Suppose 9 = -2*q + p*q. Calculate the lowest common multiple of q and 2.
6
Let g = 147 - 134. Suppose 0 = -8*i - g + 229. Calculate the lowest common multiple of i and 12.
108
Suppose 9 = -0*k - k + 2*x, 0 = -4*k - 4*x. Calculate the smallest common multiple of 8 and (1/(-4))/(k/24).
8
Calculate the least common multiple of 2 + (-28)/10 + (-24)/(-5) and 6.
12
Let j = -134045/3 - -45280. Let h = j + -588. What is the common denominator of h and (1 - (-34)/(-14)) + -2?
21
Let r = 466621/128370 + -7/4279. Calculate the common denominator of r and 25/13.
390
Let x(s) = 51*s - 89. Calculate the lowest common multiple of 16 and x(5).
1328
Suppose 0 = -2*r + 11 + 9. Find the common denominator of ((-42)/3)/(56/35) and (-18)/r*2/3.
20
Let l(y) = y - 6. Let q be l(6). Suppose 2*z - 6*f + f = -4, -5*z + 5*f - 10 = q. Find the common denominator of z - 2*(-38)/(-32) and -89/15.
120
Suppose -n + 32 = -5*s, -3 + 8 = -s. What is the least common multiple of 452 and n?
3164
Let l(k) = k + 5*k + 11 - 5*k. What is the least common multiple of l(-2) and 2?
18
Let u be (14/(-6))/(2/(-66)) - -3. Calculate the common denominator of 69/22 and (-414)/u*2/(-3).
220
Let c be (-264)/18*15/(-2). Let f = -107 + c. What is the smallest common multiple of f and 4?
12
Suppose -3*w + c = -0*w - 54, -4*c + 54 = 3*w. What is the lowest common multiple of w and 3*(-8)/60*-35?
126
What is the common denominator of 0 + (-7579)/(-2210) - (5 - 1) and 37/20?
340
Calculate the common denominator of 31/30 and 6 - (-1)/(1050/(-5380)).
210
Let r be (-6)/9*3852/(-5936). Let v = -1047926/1133299 - -3/21383. Let s = v - r. What is the common denominator of s and -63/2?
14
Suppose -n + 5*n = 20. Suppose -4*q + 8 = 2*u, -2 = -2*q + u - 3*u. Suppose 2*o - 1 = q. Calculate the smallest common multiple of n and o.
10
Let r = 15 + -12. Let j be (-2)/((r - 7)/8). Calculate the common denominator of -89/14 and 1/j + (-415)/20.
14
Let o be (8 - 1) + (2 - 7). Let t(x) = 2*x**3 - x**2 - x - 2. Let n be t(2). Suppose -4*u + o*u = -n. What is the least common multiple of 22 and u?
44
Let p be 13 - 1*(3 + -2). What is the smallest common multiple of 1 and (-3)/p - 102/(-24)?
4
Suppose -175 = -8*r - 471. Suppose -355 = 5*d - 0*c - 5*c, -5*c = -20. Let z = r - d. Find the common denominator of 3/11 and z.
11
Suppose 12*x - 71 = 241. What is the lowest common multiple of x and 12?
156
Suppose -2*p + 22 = -a + 7, 5*a + 3 = p. Suppose -20*n + 24*n = 16. Let o = p + n. What is the least common multiple of 14 and o?
84
Calculate the lowest common multiple of 4 and (-3)/2*(2952/(-54) + 12).
64
Suppose -3*c = -0*c. Suppose -4*m - 2*g - 6 = c, 3*m = -2*g - 2*g + 3. Calculate the lowest common multiple of 4 and m/(-2) + 3/6.
4
Suppose 4*z - 2*d = 76, 2 - 6 = -2*d. Let g(n) = n**2 - n - 16. Let t be g(0). Let v = -8 - t. Calculate the least common multiple of v and z.
40
Suppose 7*s = 8*s + 5. Suppose -4*a - 109 = -0*f + f, 0 = 2*a - 5*f + 71. What is the common denominator of -3/28 and s/(-2 - a/3)?
308
Let j = 450 - 417. What is the smallest common multiple of j and 33?
33
Let y(d) = -d**2 + 39*d - 213. Calculate the lowest common multiple of y(30) and 54.
1026
Suppose 25*w = 20*w - 50420. Let v be (w*2/(-12))/2. Let q = v - 826. Calculate the common denominator of q and 39/11.
33
Let k(w) = w + 8. Let y be k(-6). Suppose -4*a + 8 = 4*x, 5*x = a + y*a - 6. Find the common denominator of -27/4 and -4*a/(-352)*-202.
44
Let f = -21391 + 898315/42. Find the common denominator of 41 and f.
42
Let w be 6620178/(-13860) + 2/7. Let s = -5244/11 - w. What is the common denominator of s and (38/(-11))/((-72)/90)?
330
Let f = 3631712227/430 + -8445838. Let d = f - -194/43. What is the common denominator of (2/(8/10))/(-1) and d?
10
Suppose -4*o - 2*v = 6, 2*o - v + 4*v = 7. What is the common 