 Let c = -5/58 + m. Calculate the common denominator of c and 73/9.
9
Calculate the common denominator of -127/90 and (458/(-84) - -6)/2.
1260
Let x = 22 - 10. Let o = x + -16. What is the common denominator of -14/9 and o?
9
Suppose 0*o - 3*o = -6081. Let x = o + -152027/75. Let n = x + -5317/300. Calculate the common denominator of n and -73/3.
12
Let m = -10451 - -188249/18. What is the common denominator of 65/126 and m?
126
Let b(d) = 3*d + 10. Let v be b(2). Suppose 5*r - 40 = -p, 2*r - 4*r = 4*p - v. Let t(l) = 3*l**2 + 2*l - 1. What is the smallest common multiple of t(1) and r?
8
What is the common denominator of 209/80 - (-15)/75 and -73/44?
176
Let f = -357 - -364. Calculate the least common multiple of f and 201.
1407
Suppose 32 = -12*h + 16*h. Calculate the common denominator of -28/5 and (116/(-10))/(h/(-6)).
10
Let w be (((-27)/6)/((-3)/(-20)))/(-1). Find the common denominator of (11/w - -4) + -2 and -52/15.
30
Suppose 18 = 3*c - 33. Let t = 377 + -366. What is the lowest common multiple of t and c?
187
Suppose -5*k - 495 = -20*k. What is the lowest common multiple of 24 and k?
264
Suppose -3*w = 2*q - 48, 2*w + 60 - 180 = -5*q. Calculate the least common multiple of q and 36.
72
Find the common denominator of (-34)/(-119) - (-1478)/168 and 30/11.
132
Let k = 21 - 28. Let o be (71*1)/(k/21). Find the common denominator of o/(-48) - (-2)/(-4) and 149/12.
48
Let b(w) = -w**2 - 8*w - 4. Let r = 199 + -173. Calculate the least common multiple of b(-5) and r.
286
Suppose -5*n - 6163 + 44558 = 0. Let a = n - 130597/17. Find the common denominator of a and -19/6.
102
Suppose -2*u + 2 = -4*f, 0 = 2*f - 0*u + u - 9. Calculate the common denominator of -101/14 and f/(16/212*4).
56
Let i be (40 - 38) + -3443*2/(-30). Let n = i - 401803/1740. What is the common denominator of -85/14 and n?
812
Let t(b) = -b**3 - 5*b**2 + 7*b - 5. Let z be t(-6). Let f = -5 + -10. Let s = z - f. Calculate the lowest common multiple of s and 10.
20
Let v be ((-4)/3)/((-8)/6). Suppose 0 = 5*c - z + 40, -3*z - 24 = 3*c - 2*c. Calculate the common denominator of (-11 - v)*c/(-14) and -17/4.
28
What is the smallest common multiple of -4 - (-13)/((-52)/88)*-1 and 27?
54
Let x = 17/6 - 7. Let d = 190/9 - 2309/126. What is the common denominator of x and d?
42
Suppose -3*z = 17 + 64. Let g = z + 36. What is the lowest common multiple of 15 and g?
45
Let r be ((-2)/(-3))/(17/2310*4). Let t = 888/85 - r. What is the common denominator of 143/6 and t?
30
Let s = 117/230 - -9/23. What is the common denominator of 53/6 and s?
30
Let p = 30 - 9. Calculate the lowest common multiple of 6*9*(-7)/(-70)*5 and p.
189
Let t = -1994/99 - -160/9. Let f be 19/(6/(-3) + 0). Let i = -17 + f. What is the common denominator of i and t?
22
Calculate the common denominator of 27/8 and (-17376)/(-4272) - (-4)/(-6)*6.
712
Suppose 7*w = 2*w - 10. Let d(k) = -k**3 - 3*k**2 - k - 1. Let z be d(w). What is the smallest common multiple of (-25)/z + 8/(-24) and 8?
8
Let a be 3/(-9) - (-11668)/34356. Let r = 295285/62986 - a. Let c = -436723/24 - -18194. Find the common denominator of r and c.
264
Let g(q) be the third derivative of -5*q**4/8 - 4*q**3/3 + 2*q**2 - 9. Suppose 2*b = 4*b - 22. Calculate the least common multiple of g(-1) and b.
77
Suppose 0 = 2*q + 2*x - 8, -x + 1 = -4. Let l = q - -7. Suppose -l*n = -n - 130. Calculate the least common multiple of 4 and n.
52
Calculate the common denominator of -161/30 and (-63)/(-20) - 1/8.
120
Suppose -8*j + 482 = 3*w - 7*j, 2*w - 310 = 5*j. What is the smallest common multiple of w and 80?
160
Suppose -1 - 3 = -2*n. Suppose -n*o - 25 = -7*o. Suppose -2*r + 2*t - o*t + 7 = 0, 4*r + t - 39 = 0. What is the smallest common multiple of r and 3?
33
Let s = -15310 - -2327103/152. Calculate the common denominator of s and -69/14.
1064
Let u = 401/474 - 1/79. Find the common denominator of u and 3/4.
12
Suppose -3 = 5*a - 18. Suppose -16 = a*t + 4*d, 0*t - d = t + 7. What is the common denominator of 31/3 and t + 15 - (-6)/(-5)?
15
Let z = -11281 + 2933103/260. Find the common denominator of 1/80 and z.
1040
Let z be 6/(-8)*6/(-9)*42. Find the common denominator of (-642)/(-558) + (z/(-18) - -1) and -7/16.
496
Let i(x) = -x**3 + 4*x**2 - 2*x + 2. Let y be i(3). Let z be (y + -1)*2/4. Suppose -z*q = -6*q + 56. What is the least common multiple of q and 12?
84
Calculate the common denominator of 3/13 and 11 - 39310/(-7280)*-2.
364
Suppose -5*r = -2*r - 9. Suppose 0 = -t + 5*q - 6, -2*t = -6*t - r*q + 45. What is the least common multiple of t and 8*(-12)/(-24)*22/8?
99
Let i(v) = 54*v**2 + 3*v - 2. Let y be i(-3). Calculate the common denominator of 45/17 and 1 - (-1 + y/20).
68
Calculate the common denominator of 20/(-50) - ((-10960)/(-825))/8 and -17/21.
231
Let d = -216 + 221. Calculate the lowest common multiple of 21 and d.
105
Suppose -m = 4*p - 173, -143*m + 3*p = -141*m - 291. What is the smallest common multiple of m and 99?
1683
Suppose 0 = 7*j - 10*j + 60. Let p = -18 - -13. Calculate the least common multiple of j and ((-8)/p)/((-1)/(-5)).
40
What is the least common multiple of 33/(1683/(-34))*1209/(-2) and 10?
4030
Let p(c) = 2 - 9*c - 3*c**2 - 1 + c + 2*c**2. Let d be p(-8). Suppose -d = -x, 0 = 3*b + 2*b + 2*x - 32. Calculate the lowest common multiple of b and 4.
12
What is the common denominator of (203/(-504))/((-2)/8) and ((-2)/24)/((-2)/(-332))?
18
Let u be 85/2*((-4230)/1925 + 3). Let m = 354/11 - u. Calculate the common denominator of ((-98)/40 - 0) + -1 and m.
140
Suppose -3*u + 70 = p, -3*u + 3*p + 0 = -78. What is the least common multiple of 12 and u?
24
Let d = 1157 - 5763/5. What is the common denominator of (14/(-28))/(11/(-43)) and d?
110
Let a = -53870 - -1562052/29. Let l = 1521/116 - a. Calculate the common denominator of l and 1 + (-2)/((-80)/(-106)).
20
Let r be 3 + 4 + -10 - (80 - -1). Let b = 89 + r. Calculate the least common multiple of b and 36.
180
Suppose 0 = -6*g - 645 - 177. Let h = g - -950/7. What is the common denominator of h and 71/12?
84
Let l = -1582 - -2389. Let v = 6535/8 - l. Calculate the common denominator of v and ((-1)/(-9))/((-14)/1288) - -2.
72
Let w = 35 - 26. Suppose -2*b = -5*o - 3*b - 3, -3*b - w = -2*o. Suppose o = 12*z - 17*z + 40. Calculate the least common multiple of 48 and z.
48
Let j = 1/10729 + 847569/236038. Let i = 17 + -17. Find the common denominator of (1/5 + i)/(56/3395) and j.
88
Suppose s + 4 = 0, 4*c + 10*s = 15*s + 68. What is the lowest common multiple of c and 0 + 1 + 10 + 1?
12
Suppose 3 - 13 = -5*r. Suppose -4*x - 70 = -9*x - 4*j, 3*x - 45 = -3*j. Calculate the least common multiple of x and r.
10
Suppose 4*v = 7*v - 3*s - 198, -4*v + 3*s + 264 = 0. Calculate the smallest common multiple of v and 77.
462
Let d be -1 + -4 - (8 - 10). Let j(g) = g**2 + 3*g + 1. What is the least common multiple of 5 and j(d)?
5
Let x = -2/2419611 - 84446843483/33874554. Let l = -2495 - x. What is the common denominator of l and ((-1)/4)/((-6)/(-352))?
42
Let k be (-3)/(3/4)*-1. What is the common denominator of 0 + (k - 1 - 86/32) and 7/16?
16
Suppose 3*a - 98 - 1 = 0. Let p(o) = 4*o**2 - 44*o + 3. What is the smallest common multiple of a and p(11)?
33
Let c(j) = 2*j - 3. Let l(s) = -2*s + 2. Let v(n) = 7*c(n) + 6*l(n). What is the smallest common multiple of v(6) and 2?
6
Let n(f) = -f**2 + 7*f - 2. What is the smallest common multiple of 10/(-35) + (-132)/(-21) and n(6)?
12
Let j = 181079/10 - 18120. Let t = 1/51 + 0. Let f = t + -125/306. What is the common denominator of f and j?
90
Let d = 4 - 0. Let q = -81 + 89. What is the smallest common multiple of d and q?
8
Calculate the common denominator of (-5)/(1200/(-995)) - 3 and -17/36.
144
Suppose 4*k - 54 + 2 = -4*f, -5*f + 2*k = -79. Calculate the common denominator of (-1366)/240 + 6/f and 71/6.
24
Let x(q) = -4*q - 30. Calculate the least common multiple of 492 and x(-13).
5412
Let n(r) = -34*r**2 + 178*r - 7. Find the common denominator of n(5) and 59/10.
10
Suppose -3*t = -s - 0*t + 93, t = -3. Let x(d) = -d**3 + 6*d**2 + 3*d + 34. What is the least common multiple of x(7) and s?
84
Let o = -6500/309 + 38/103. Suppose -2*c + 2*b + 3*b - 6 = 0, -5*c + 20 = 5*b. Calculate the common denominator of o and (1 - 3)/c - 180/50.
