6
Let p = 13685 - 492629/36. Find the common denominator of p and (4060/3528 + (-12)/(-21))/(11/(-5)).
396
Let s(c) = 2113*c - 12. Let l be s(1). Let x = l + -6362/3. Calculate the common denominator of 197/6 + (-4)/12 and x.
6
Let s = -269017 + 105992627/394. Find the common denominator of 47/197 and s.
394
Let y = -5991 - -5992. Calculate the least common multiple of 9 + -1 - (-4 + 3) and y.
9
Let c = 3613 - 3605. What is the smallest common multiple of 352 and c?
352
Let z = 8 + 8. Let t(v) = -v**3 - 4*v**2 - 17. Let l be t(-5). What is the lowest common multiple of 90/l - (-11)/((-352)/40) and z?
80
Find the common denominator of 0 - 6/8*-1 and 591/252 - (-3)/4.
84
Suppose 0 = -3*r - 0*r - 162. Let g be 1*-2 - (-3195)/r. Let h = -269/3 - g. Calculate the common denominator of h and -137/60.
60
Let i(v) = -13*v - 83. Let k be i(-7). Find the common denominator of (-38)/(-8) + (-1 - 1) and 78/k*(-40)/(-75).
20
Calculate the least common multiple of (184/138 + 26/12)/(3/774) and 430.
9030
Suppose -70*p = -76*p + 18. Calculate the least common multiple of (-8)/(-2)*p*60/18 and 96.
480
Let t = -23094 - -10900373/472. What is the common denominator of t and 27/28?
3304
Suppose 11677 + 38065 = -2*c. Let i be -3 - 10/(-3) - c/(-6). Let s = i + 4134. What is the common denominator of s and -51/14?
42
Suppose -700*n = -579*n - 885 - 325. Suppose 3 = -3*f - 3*k, 4*f = k + 4*k + 32. What is the lowest common multiple of f and n?
30
Let f(w) = w + 7. Let g be f(-5). Let d = 62/11 + -597/22. Calculate the common denominator of d and (90/(-81))/(g/(-4)).
18
Let g(a) = -5*a + 94. Let x be g(14). Suppose 3*y - 26*t + x*t = 356, -4*y = 2*t - 484. What is the least common multiple of y and 180?
360
Let f = 148719 + -138457411/931. Calculate the common denominator of 71/84 and f.
11172
Let c = 4777/1232 - -149/77. Let p = -66071 + 4096389/62. Calculate the common denominator of p and c.
496
Let j(r) = -45*r - 1167. What is the least common multiple of j(-26) and 23?
69
Let b = 381891/18404 + -2/4601. Let k be -5 + (-2 - -1) + 2. What is the common denominator of b and (-825)/(-70) + k + -1?
28
Let u = 13967/18 + -774. Suppose -14 - 2 = m. What is the common denominator of 350/m*(-8)/60 and u?
36
Let n = -2162 + 1432. What is the common denominator of (-2 - 0) + (-1370)/n - 0 and -11/10?
730
Suppose -m + 5*m + 620 = -5*o, -5*m = -o + 775. Let q = -131 - m. What is the lowest common multiple of 30 and q?
120
Suppose 2*r - 240 + 214 = -2*f, 2*r + 5*f = 41. What is the smallest common multiple of 18/5 + (-2)/(-5) and r?
8
Let o be 2682 + -5*(2 + -1). Let m = 42927/16 - o. Find the common denominator of m and -26/15.
240
Suppose 15*k - 1728 = -k. Suppose 0 = g - 19*g + k. What is the least common multiple of ((-2)/2)/(1/(-36)) and g?
36
Let p(a) = 85*a**2 - 2. Let n be p(-1). Suppose -10*y - 17 = n. Find the common denominator of 3928/80 + (-4)/y and -34/7.
14
Let m be 5 + -1 + 1098/(-126) + (1 - 0). Let o be 2/2 + (-1011)/(-84). Let p = o - m. What is the common denominator of p and 53/7?
28
Suppose -6*j - 10*j + 80 = 0. Calculate the lowest common multiple of (5/(60/27))/(j/240) and 8.
216
Let n = -1566 + 1044. Calculate the common denominator of (n/540)/(2/5) and -11/42.
84
Let w = -12501413 - -1375142247/110. Let q = -594/5 - w. Find the common denominator of 89/28 and q.
308
Let o be ((-2135128086345)/3035756535)/((-2640)/(-14)). Let a = 2/45433091 - o. Let c = -5/168 + a. Calculate the common denominator of 53/2 and c.
10
Let k = -4889 + 78303/16. Calculate the common denominator of 98/(-28) + 10 - 7 - 39/(-9) and k.
48
Let g(w) = 0*w - 227 + w + 250. Let v be g(7). What is the common denominator of 47/7 and (491/v - -1) + 4/5?
42
Let p(t) = 2*t**2 + 18*t - 9. Let s be (2/(-4))/(-3*5/(-1500)). Calculate the least common multiple of 20/s + 67/5 and p(-10).
143
Suppose 0*y - 88 = -4*y. Suppose 7*v = y - 8. Suppose v = 3*k - 61. What is the smallest common multiple of k and 15?
105
Let k(b) = 2*b + 2. Let q be k(2). Calculate the lowest common multiple of (-4)/(-9)*q - 38/57 and 6.
6
Let q be (-25)/(-10)*(-4)/(1 - 3). Suppose 0*n - 4*n = 2*d - 14, 3*n = 4*d + q. Calculate the least common multiple of 64 and n.
192
Let j = 4025 + -3878. What is the lowest common multiple of 24 and j?
1176
Let j be (0 + (-895)/20)*(-6 + 26). Let v = -773 - j. Calculate the lowest common multiple of 2 and v.
122
Suppose -3*k = -4*c + 367, 2*k = 4*c + 61 - 303. Let f = k - -134. Suppose -i + 8 = -1. Calculate the lowest common multiple of i and f.
9
What is the common denominator of (1804/10725)/(((-24)/(-5))/4) and 20/9?
585
Let o(q) = 3*q**2 + 70*q + 369. What is the smallest common multiple of 9 and o(-30)?
2907
Let f = -6445 - -31696. What is the least common multiple of f and 9?
75753
Let h(k) = 17*k + 226. Let s be h(-14). Let i be (-1484)/6*(2 + -5). What is the common denominator of (i/s)/(-7) - 4 and -13/11?
66
Suppose -y - 8*v + 453 = -5*v, 4*v + 12 = 0. What is the smallest common multiple of 49 and y?
3234
Let n(f) = f**2 - f - 9. Let c = 141 - 141. Suppose c = 28*i - 22*i - 144. Calculate the smallest common multiple of n(7) and i.
264
Let b = -133 + 208. Let a(s) = -2*s**3 + 30*s**2 + 571*s + 53. Calculate the lowest common multiple of a(26) and b.
675
Suppose -801 - 276 - 573 = -66*r. Let n = -60 - -105. Calculate the least common multiple of n and r.
225
Let o be (48/30)/(2/(-10)). Let r be ((-6)/o)/(4/(-32)). Find the common denominator of (r + -67)/(-4 + 2) and -25/8.
8
Find the common denominator of -49 and (36223/2783 - 13)*(-4)/3.
759
Let j be (1 + (-6)/9)/(19953/442251). Let v = 1/1478 + j. Let d = 2631/4 + -682. Calculate the common denominator of v and d.
36
Calculate the common denominator of (-16)/(-24)*(-855)/(-14460) and -64/2169.
4338
Suppose 5*g = -3 + 28. Let j(w) = 1681*w + 15169. Calculate the smallest common multiple of j(-9) and g.
40
Let y = 7833745987/2387461 - 495419/151. Let k = y - 26/163. What is the common denominator of k and -49/11?
1067
Suppose -2*b = -51 + 81. Find the common denominator of 27/182 and -3 - ((-6)/(-20))/(b/65).
910
What is the lowest common multiple of (-3232)/303*-4*(-5)/((-80)/12) and 1780?
14240
Let u(n) = -n**2 - 33*n + 49. What is the smallest common multiple of 42 and u(0)?
294
Suppose 54*k + 5*x = 57*k - 765, x = -3*k + 783. Calculate the smallest common multiple of 14 and k.
1820
Calculate the common denominator of 22/27 and (((-14)/(-405))/2)/((-451)/(-164)).
4455
What is the common denominator of -127/444 and 44286/(-126392) - (8/20)/((-14)/10)?
3108
Let t = -12348404/25489037 - 2/158317. Let n = t - 10349/2898. Calculate the common denominator of n and 2 + (1 - (-4)/(-12)*-32).
18
Let a = 6160 + -6055. What is the smallest common multiple of 77 and a?
1155
Let w = -7402 - -325723/44. Calculate the common denominator of (76/(-22) - 0) + (-7)/(-7) and w.
44
Suppose -25*w + 132 + 480 = 9*w. Let t = 29 + -19. Let l = t + -8. Calculate the lowest common multiple of w and l.
18
Let q be 8/(-52) + (-10993230)/572. Let k = q - -19219. Calculate the common denominator of k and -119/20.
2860
Suppose -c + 4 = 4*i + 2, 5*i - 4*c + 8 = 0. Calculate the lowest common multiple of 12*(60/8 + -5) and (108/8 + i)*8/6.
90
Let k be 3537/(-2) + (-2)/(-4). Let y be (17649/(-75))/((-18)/135). Let b = y + k. What is the common denominator of b and -67/12?
60
Calculate the common denominator of 39/764 and (-11)/396*(24 + -7).
6876
Find the common denominator of 43/49 and ((-18)/(-24))/(504/654).
784
Let k(f) = 2*f**2 - 3*f + 4. Let c be k(3). Suppose -c*i + 134 = -100. What is the lowest common multiple of 114 and i?
342
Calculate the least common multiple of 160 and (7/21*-10)/((-4)/66).
1760
Calculate the common denominator of 61/2514 and 420/(-45) + 6 - -9.
2514
What is the smallest common multiple of 1000 and (-7 + 2)/(-1) + -17*496/(-272)?
9000
Suppose -33*q = -2*b - 36*q + 62, -b - 3*q + 40 = 0. What is the least common multiple of 476 and b?
5236
Let l = 1/1442 - 16589/8652. Let g = -37735 + 11848813/314. What is the common denominator of g and l?
1884
Let l = 16820 - 16813. Let o(n) = -2*n - 2. Let w be o(-2). Suppose 0 = -w*j + 1 + 11. Calculate the smallest common multiple of l and j.
42
Suppose 2*j - 11 = -7. Suppose 0