Let z be 1/(21880/4375 - 5). Let g = -17429/20 + z. Let b = 1995/2 - 1020. What is the common denominator of g and b?
20
Let i = -80 - -94. Find the common denominator of (-8)/54*10/8 and (i + -16 + 0)/((-60)/166).
135
Let g = 12287 + -663469/54. Calculate the common denominator of (-1)/14*(-917)/21 and g.
378
Let t(a) = a**3 + 6*a**2 - a - 12. Let w(k) = -9*k + 40. What is the least common multiple of w(2) and t(-5)?
198
Let b = 14372441/1374687 - -661/13282. Let y = b - 1/207. Calculate the common denominator of y and -1 + 415/(-20)*(-6)/18.
12
Suppose -38*u - 8650 = -48*u. Calculate the common denominator of 2*(u/3600 - (-2)/9) and 36/35.
280
Let q(k) = -k**2 + 22*k - 19. Calculate the lowest common multiple of 245 and q(9).
490
Suppose -105*g = -130*g + 200. Let k(x) = -x**2 - 10*x - 7. Let f(a) = a**2 - 5*a - 4. Let m be f(4). What is the lowest common multiple of g and k(m)?
72
Let y = -12 - -20. Suppose -530 = -38*j + 34*j + 5*q, 3*q - 450 = -4*j. Calculate the smallest common multiple of y and j.
120
Suppose 19*a - 84*a + 130 = 0. Suppose 0 = 8*u - 4*u - 96. Suppose a*d - 8*d + u = 0. Calculate the lowest common multiple of d and 10.
20
Let w = 177543 + -1000771/6. Let f = -10773 + w. Find the common denominator of f and (20/18)/((-56)/160*-4).
126
Suppose -4*r = -5*n - 4285, 5*r + 1784 = 4*n + 5221. Let d = n + 8517/10. Let t = -3235/2926 + -79/77. Calculate the common denominator of t and d.
190
Let f = 209138/65 - 3218. Let k = 142 - 727/5. What is the common denominator of k and f?
65
Suppose -2*n = -32*u + 33*u + 45, 5*u = -3*n - 50. Let a(x) = -x**2 - 26*x - 9. What is the least common multiple of a(n) and 32?
32
Let x = -11/36 + -31/9. Let i = 456639/496909 + -6/10141. What is the common denominator of i and x?
196
Suppose 121*p + 2200 = 125*p. Calculate the least common multiple of 200 and p.
2200
Suppose -2*z = -0*z + 20. Let y be 10*(z/(-4) - 2). Suppose -u = 4*o - 71, 6*o - y*u = o + 95. Calculate the lowest common multiple of o and 12.
36
Let h be ((-6332)/(-10))/(784/(-175)). Let c = -1020/7 - h. Find the common denominator of c and ((-93)/36)/((-4)/(-3)).
16
Let c(t) = 155*t**2 + 8*t + 5. Let l be c(-1). What is the common denominator of 101/22 and (0 + 6/(-5))/(l/(-130))?
418
Let b = -1/435497 + -63146783/122810154. Find the common denominator of b and 149/24.
1128
Let y(h) = h**3 + h**2 - 4*h + 4. Let t be 11/(-2)*(-4)/11. Suppose -1 = 5*r - 31. What is the least common multiple of y(t) and r?
24
Let k = 14092 + -3114146/221. Let p = 2519/10608 - k. Calculate the common denominator of p and -31/24.
48
Suppose 6*d = 2*q + d + 21, -3*q = 3*d. What is the common denominator of (501/(-30) - q) + 6 and 3/10?
10
Suppose -3*a + 194 = -2*g + 6*g, -3*a - 135 = -3*g. Let f(d) = -7*d**2 - 3*d + 1. Let k be f(4). What is the common denominator of (-2)/2 + k/21 and g?
7
Suppose 3*m = -4*b + 2622, 3*b = 830*m - 835*m + 1950. Calculate the least common multiple of 1056 and b.
5280
Calculate the common denominator of -63/2524 and (-190)/(-1800)*20 - (0 - -6).
22716
Find the common denominator of -89/3000 and (-6)/(-21) - (-1195)/(-7000).
3000
Let i = -41881/10 - -4200. Let v = 1658 - 53101/32. What is the common denominator of v and i?
160
Let f(y) = 2*y**3 + 2*y**2 + 2*y + 4. Let a be f(-2). Let z be 180/14*424/a. Let m = z - -679. Calculate the common denominator of 27/8 and m.
56
Suppose 0 = -16*a + 23*a - 98. Suppose 3762 = 5*o + a*o. What is the least common multiple of 6 and o?
198
Calculate the lowest common multiple of 18174 and (((-728)/15)/(-2))/2 + 44/(-330).
36348
Let n(s) = s**3 + 21*s**2 + 49*s - 38. Let a be n(-12). Let p = a - 628. What is the least common multiple of p and 204?
1428
Suppose -3580 = -5*l + 4*o, 0 = -l - 5*o + 817 - 72. Calculate the smallest common multiple of 12 and l.
720
Let n be (-15411)/39 - (42/(-91))/3. Let w = n - -397. Calculate the smallest common multiple of 3 and w.
6
Suppose o = -31 + 27. Let u = -28 + 26. Find the common denominator of 73/4 and u/o - (-1710)/(-108).
12
Suppose -4*s - s + 510 = 0. Suppose -3*t = -0*t - 6, 4*r - s = 5*t. Let n(w) = 19*w**2 + 6*w - 5. Calculate the least common multiple of n(1) and r.
140
Let r = -840 - -846. Let y(z) = z**3 - 9*z**2 + 9*z + 4. What is the lowest common multiple of y(8) and r?
12
Let r(q) = -q**2 + 21*q + 75. Let l(g) = -2*g**2 - 27*g - 14. Let j be l(-12). What is the smallest common multiple of 7 and r(j)?
371
Let p = 3/1420 + -2167/710. What is the common denominator of p and (14/1505)/((-28)/525)?
860
Let c be 2/(-8)*68/(-17). Find the common denominator of -29/5 and 6/(-27) + c/((-90)/433).
30
Calculate the common denominator of -41/14 and ((-3 - 0)/(-3))/(-13 - (-50607)/(-351)).
42910
Calculate the common denominator of -34/1053 and 5 + 138/(-27) - (-2040)/270.
1053
What is the least common multiple of 3/7 + (-5)/((-280)/18792) and 384?
2688
Suppose -5*j + 10*j = 2*i - 949, -3*i = -4*j - 1420. Let k = 483 - i. Suppose 2*y - 12 = -y. Calculate the lowest common multiple of y and k.
44
Let s = -27 - -39. Suppose 30 = 4*m - 10. What is the least common multiple of m and s?
60
Let r be (5/5 + -5)*1*-1. Suppose -5*w = -3*l - 18, -r*w = -0*l - l - 13. Suppose w*k - 18 = 12. What is the least common multiple of 1 and k?
10
Suppose 65*c - 278 = 63*c. Let f = c - 100. Calculate the least common multiple of 24 and f.
312
Let g = 12424/661 + -6661713/306704. Let j = 170/29 + g. What is the common denominator of 87/44 and j?
176
Let n(w) = 9*w**2 + 51*w + 879. What is the least common multiple of 386 and n(-13)?
3474
Let v = -4/124693 - 9101109/46136410. What is the common denominator of v and 32?
370
Let j = -277331/4974060 + 4/6377. What is the common denominator of -49/234 and j?
2340
Let o = 2/21117 - -274505/168936. What is the common denominator of o and 23/76?
152
Let g = -7148 - -28615/4. What is the common denominator of -131/240 and g?
240
Let n be -8*(-275 - (0 - 3)). Suppose 25*a = -9*a + n. Calculate the lowest common multiple of a and 64.
64
Suppose -62 = -3*h + 5*o - 3*o, -o = 5*h - 125. Suppose 20*c - h*c + 200 = 0. Calculate the least common multiple of c and 4.
100
What is the common denominator of -73/4720 and (-371)/(-14)*16/6*21/56?
4720
Suppose 4*z - 6*z = 16. Let k(w) = -47*w**3 - w**2 - w + 4. Let i be k(z). Let v = i + -480337/20. What is the common denominator of v and -111/10?
20
Suppose -8*d = 5*w - 6*d - 11503, 2*d + 2 = 0. What is the least common multiple of w and 91?
16107
Let b(p) = 271*p**2 - 2694*p - 43. Suppose -5*x + 5*d - 3*d = -80, 2*x + d - 41 = 0. Calculate the lowest common multiple of b(10) and x.
234
Let w = 263233 + -84234633/320. What is the common denominator of 29/220 and w?
3520
Suppose -15*l + 1170 = 180*l. Calculate the least common multiple of 2185 and l.
13110
Suppose 2*j = 2*k - 4 + 78, -5*j + 182 = -4*k. Let q be (-181 + -1 + 0)*j/68. What is the common denominator of 14/q + 1691/(-78) and 1/11?
66
Let w(v) = v**3 + 10*v**2 + 13*v + 89. Find the common denominator of -53/40 and w(-10).
40
Suppose 21*l - 575 - 6796 = 0. Let h = 576/5 - 451/4. Find the common denominator of (-11)/(330/l) - -4 and h.
20
Let a = -809826 + 1882035559/2324. Find the common denominator of 101/140 and a.
11620
Let g be 8/2 - (25 + -322). Let z = g - 280. Suppose 0 = -4*c - 0*c + 36. Calculate the lowest common multiple of z and c.
63
Let y = 1/2029 + 13632/1158559. Calculate the common denominator of y and 39.
571
Let s be ((-2)/4)/(354/180 - 2). Suppose -s*j - 576 = -39*j. Calculate the least common multiple of j and 60.
120
Let n = -506950 - -633687539/1250. Find the common denominator of 27/55 and n.
13750
Suppose 0*v + v = 6. Let m = -761 - -765. Suppose 21*n = 17*n - 3*l + 18, m*n + 4*l - 16 = 0. Calculate the lowest common multiple of v and n.
6
Let a = 24303 - 23253. What is the lowest common multiple of a and 2625?
5250
Let s(f) = -761*f - 1005. Calculate the smallest common multiple of s(-2) and 187.
8789
Let d(f) = 57*f**3 - 2*f + 1. Let x be 3 - (-10)/(-2 - 3). Let t be d(x). What is the common denominator of -21/4 and ((-3)/5)/(-2 + t/36)?
20
Let f = 484/3 - 152. Calculate the common denominator of -1/1638 and f.
1638
Suppose 6*d = -13 - 23. What is the lowest common multiple of (30/5 - d) + 0 and 158?