
Suppose -5*h - 4*l = -h + 72, -2*h - 3*l = 40. Find the common denominator of 33/20 and (h/(-882))/((-12)/(-14)).
540
Suppose -4*h = -2*h - 52. Let i = -85 + 92. What is the common denominator of h and 18/42 - 13/i - 2?
7
Suppose -8 - 5 = -13*q. Calculate the least common multiple of 56 and q.
56
Let g = 1449 - 24640/17. Let t = 235/34 + g. Find the common denominator of 26/3 and t.
6
Let r(x) = 9*x**2 - 3*x + 2. Suppose 412 = 263*u - 160*u. What is the smallest common multiple of u and r(2)?
32
Suppose -5*v - 2012 = 4*x + 1218, 0 = -3*x - v - 2428. Let w be 16194/(-20) + (26 - 25). Let s = x - w. Find the common denominator of -19/4 and s.
20
Suppose 2*b + 104 = 80. What is the common denominator of -63/16 and 3 - 26 - b/3?
16
Let b(n) = 454*n**3 - 2*n**2 - 2*n - 1. Let a be b(-1). Let v = -6766/15 - a. Find the common denominator of v and -7/9.
45
Suppose -2*l = w + 8, -4*w - 12 = w - 4*l. What is the common denominator of (w/(-45))/(22/(-1375)) and -2/9?
9
Let n = 29/1387 - 6759/5548. What is the common denominator of n and -37/5?
380
Let t = -67/48 + -391/1680. What is the common denominator of t and -35/11?
385
What is the least common multiple of 207 and 13 + -21 + 10 + 21?
207
Let u be (-78178)/18 + (-6)/(-27). Let z = u - -26129/6. What is the common denominator of z and 351/30 + -1 + -1 + -1?
30
Suppose 4*a = 32*n - 34*n + 310, 1 = -n. What is the lowest common multiple of a and 18?
234
Let i be 2/(-4)*1402332/(-132). Let c = -5313 + i. Calculate the common denominator of c and 45/22.
22
Calculate the common denominator of -167/90 and 1 - (-6 + -86*7/(-90)).
90
Let x = 358909/24 - 14957. Let i = 226217/24 + -9427. Calculate the common denominator of i and x.
24
Suppose -416 = 4*u - 4*o, -3*u + 95 = -4*u + 4*o. What is the least common multiple of (0 + 3)*(14/(-6) + 3) and 2/(-5) - u/5?
42
Suppose 109 = 5*c + 3*o - 38, 3*o = 2*c - 42. What is the common denominator of (-6)/c - (-2757)/(-594) and 41/20?
220
Let i = 151033/3 - 9364141/186. Find the common denominator of i and -11/248.
744
Find the common denominator of 91/10 and -12 - -7 - (-118)/20.
10
Suppose -3*v + 17 + 19 = -3*q, -4*v = 5*q - 3. Suppose -26 - 84 = -10*l. What is the smallest common multiple of v and l?
77
Let q = 94 + -61. Calculate the least common multiple of 24 and q.
264
Suppose 0 = 81*c - 75*c - 48. What is the smallest common multiple of c and 10?
40
Let y = 4907 - 107983/22. Let r = 34543/286 - 1514/13. What is the common denominator of y and r?
22
Let p(a) = -a**3 - 3*a - 3. Let s be -4 - (0 - -2 - 4). Let y = -7 - -11. What is the smallest common multiple of p(s) and y?
44
Suppose -13*o + 25*o - 48 = 0. Find the common denominator of 19/40 and (1 - 23)/(o + 12/33).
120
Let l = 21 + 67. Suppose 0 = -0*c + 8*c - l. What is the lowest common multiple of c and 3?
33
What is the smallest common multiple of (90/(-100))/(2/(-20)) and 4?
36
Suppose -5*f + 21387 + 733 = 0. Let n = f + -97289/22. Calculate the common denominator of 99/2 and n.
22
Suppose -9 = -p + 1. Let y(d) = 44*d + 14. Let x be y(-7). Calculate the common denominator of x/(-99) + (-1)/3 and p.
11
Let y be -516*14/(-105) + 1/5. Suppose -67*c + y*c = 28. Let s(d) = d**2 + 3*d - 8. What is the least common multiple of c and s(-6)?
70
Let h be 53*3/(-6)*2/1. Let a = -43 - h. Calculate the smallest common multiple of a and 42.
210
Let v be 428180/(-64) + (-2 - -1). Let h = -6688 - v. Find the common denominator of 93/10 and h.
80
Let m = 1429/168 + -75/56. What is the common denominator of m and -25/129?
258
Find the common denominator of -12/35 and (3/42)/(-7 + 302/43).
70
Let m = -130515067/3828 - -990380/29. Let c = 608/11 - m. What is the common denominator of 1 - (-89)/10 - -1 and c?
60
Let b = 8011077/2312492 + 2/82589. What is the common denominator of 53/22 and b?
308
Let r be 9505*((-12)/(-728))/((-3)/1). Let t = r - -730/13. Find the common denominator of t and -14/11.
154
Let l = 729856228/239 - 3053801. Let u = l - -1/956. Find the common denominator of (-4)/(-6) + 211/30 and u.
20
What is the lowest common multiple of (-6)/8 + (-217)/(-28) + 5 and 6?
12
Let z be ((-85)/20)/(2/459). Let c = z - -973. Find the common denominator of -137/12 and c.
24
Let o be 12/4 - 55/(-1). Let a = -38 + o. Suppose -4*v = -2*k + k + a, -v - 61 = -2*k. Calculate the smallest common multiple of k and 18.
288
Let d = -511739 + 3054859/6. Let m = d - -2613. Find the common denominator of (-931)/560 + (-4)/10 and m.
48
Let q be -2*4/2*-1. Suppose 6*p = 4*p + q*i - 814, p = 3*i - 406. Calculate the common denominator of (-4)/14 + p/63 and -15.
9
Let w = -10 + 28. What is the common denominator of w and 6*-17*(-366)/(-7686)?
7
Suppose 2*v = -v + 12. Suppose 338 = 4*a - 214. What is the smallest common multiple of v and a/7 + 4/14?
20
What is the least common multiple of (-27)/33 + 1 + 3924/198 and 6?
60
Let w(s) = 4*s**2 + 17*s - 18. What is the lowest common multiple of 67 and w(-6)?
1608
Suppose 0 = 2*y + 20*y - 220. Calculate the lowest common multiple of 6 and y.
30
Let r(i) = i**2 - 3*i + 1. Let x be r(-3). Let y = x + 46. Suppose 5*k - 41 = -2*n, 5*n + 2*k + 3*k = y. Calculate the least common multiple of n and 30.
120
Suppose -69 = -6*m - 9. Calculate the smallest common multiple of 70 and m.
70
Let c = -144 - -162. What is the lowest common multiple of c and 38?
342
Let v be (6/2)/((-1)/(-1)). Let o(j) = 2*j - 52. Let u be o(22). Calculate the least common multiple of 12 and u*v*(-2)/12.
12
Let g(d) = 2*d**3 + 3*d**2 - 2*d - 4. Let u be g(-2). What is the lowest common multiple of 12 and 15/((u/(-1))/8)?
60
Let i(t) = 42*t - 15. Let f be i(8). Let y = 22878/7 + -3276. What is the common denominator of y and (-2)/(-9) + f/54?
42
Let m = 5437/16 - 334. Let d = 19373/756 + -698/27. Calculate the common denominator of d and m.
336
Suppose -t - 3 - 7 = 5*n, 4*n - 2*t - 6 = 0. What is the common denominator of -2*n/((-22)/36) and -6*(1 - (-24)/(-10))?
55
Suppose 9*n + 22 = 11*n. Suppose -j + 25 = 5*c, 3*j + 2 = -3*c + 5. What is the lowest common multiple of c and n?
66
Calculate the lowest common multiple of 28 and (-27 + 48)/((-1)/(-5)).
420
Let q be (291/16)/((-1)/76). Let r = -1372 - q. What is the common denominator of r and ((-111)/32)/(45/(-30)*(-3)/(-6))?
8
Let d(k) = 89*k + 10. Let h be d(-12). Let b = 60719/10 - 6080. Find the common denominator of h/(-220) + 14/(-35) and b.
110
Let n(p) = -2*p + 18. Suppose t = -t + 10. Suppose -t*g + 2*g = 0. What is the smallest common multiple of 22 and n(g)?
198
What is the least common multiple of (18 - 28) + 908/4 and 155?
1085
Suppose -3*v - 40 = -2*o, 4*v + 3 = o - 27. Suppose 0 = 3*u - 8*u. Suppose 3*c + c - 64 = u. What is the least common multiple of o and c?
112
Let t = 90035/16 - 5624. What is the common denominator of t and 7/(10 + 4) + (-117)/20?
80
Suppose -c - 3*c + 5570 = 5*s, -2*c = 2*s - 2230. Let j = s + -7732/7. What is the common denominator of ((-246)/16)/(9/(-4)) and j?
42
Let r(v) = 20*v**3 + 2*v**2 - 2*v + 1. Let o be 5 + (-3496)/498 + 1 + 1. Let w = o - 690/83. Calculate the common denominator of w and r(1).
3
Find the common denominator of 37/70 and ((-114)/1425)/((-312)/1990).
2730
Let o = 64707/34 + -1903. Let w = o + -125/272. What is the common denominator of 57/44 and w?
176
Let p be (-1)/2 - (0 - 374/4). Suppose -3*b + p = 33. Calculate the lowest common multiple of 8 and b.
40
Calculate the common denominator of (61 + -1)/(1/(8/564)) and -38/235.
235
Suppose -7*x - 144 = -4*x. What is the common denominator of -71/6 and (-1)/(x/20)*8/12?
18
Let y = -22648 + 498349/22. Find the common denominator of y and -1*1 + (-3)/(-22)*-3.
22
Let r(o) = -3*o**2 - 2*o + 17. Let t be 47/7 - (-12)/42. Let u be r(t). Calculate the common denominator of -1/8 and 2/6 + (-249)/u.
16
Let p = 2/2471 - -116129/9884. Calculate the common denominator of 1/2*4*(-2581)/116 and p.
4
Let t = 1366 + -1365. Let i = -3 + 1. Let j(h) = -9*h. What is the lowest common multiple of j(i) and t?
18
Suppose 2*z - 25 = -5. Calculate the smallest common multiple of z and 6.
30
Suppose -3*d + 12 = -3. Suppose 2*x = -d*l - 0*l + 17, 0 = 2*x - 2. Suppose -l*i = 3 - 45. What is the lowest common multiple of 4 and i?
28
Let h(n) = -n**2 - 20*n + 116. What is the least common